TSTP Solution File: HWV044-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : HWV044-1 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n020.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 02:12:27 EDT 2022
% Result : Unsatisfiable 48.03s 31.10s
% Output : Proof 52.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : HWV044-1 : TPTP v8.1.0. Released v5.3.0.
% 0.10/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Aug 31 22:38:30 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 48.03/31.10 % SZS status Unsatisfiable
% 48.03/31.10 % SZS output start Proof
% 48.03/31.10 tff(v222_type, type, (
% 48.03/31.10 v222: $i > $o)).
% 48.03/31.10 tff(constB41_type, type, (
% 48.03/31.10 constB41: $i)).
% 48.03/31.10 tff(sK0_VarCurr_type, type, (
% 48.03/31.10 sK0_VarCurr: $i)).
% 48.03/31.10 tff(constB67_type, type, (
% 48.03/31.10 constB67: $i)).
% 48.03/31.10 tff(v221_type, type, (
% 48.03/31.10 v221: $i > $o)).
% 48.03/31.10 tff(v243_type, type, (
% 48.03/31.10 v243: $i > $o)).
% 48.03/31.10 tff(v255_type, type, (
% 48.03/31.10 v255: $i > $o)).
% 48.03/31.10 tff(v216_type, type, (
% 48.03/31.10 v216: ( $i * $i ) > $o)).
% 48.03/31.10 tff(bitIndex2_type, type, (
% 48.03/31.10 bitIndex2: $i)).
% 48.03/31.10 tff(v254_type, type, (
% 48.03/31.10 v254: $i > $o)).
% 48.03/31.10 tff(bitIndex1_type, type, (
% 48.03/31.10 bitIndex1: $i)).
% 48.03/31.10 tff(v244_type, type, (
% 48.03/31.10 v244: $i > $o)).
% 48.03/31.10 tff(v248_type, type, (
% 48.03/31.10 v248: $i > $o)).
% 48.03/31.10 tff(constB127_type, type, (
% 48.03/31.10 constB127: $i)).
% 48.03/31.10 tff(constB61_type, type, (
% 48.03/31.10 constB61: $i)).
% 48.03/31.10 tff(v232_type, type, (
% 48.03/31.10 v232: $i > $o)).
% 48.03/31.10 tff(v236_type, type, (
% 48.03/31.10 v236: $i > $o)).
% 48.03/31.10 tff(v224_type, type, (
% 48.03/31.10 v224: $i > $o)).
% 48.03/31.10 tff(v225_type, type, (
% 48.03/31.10 v225: $i > $o)).
% 48.03/31.10 tff(v229_type, type, (
% 48.03/31.10 v229: $i > $o)).
% 48.03/31.10 tff(v223_type, type, (
% 48.03/31.10 v223: ( $i * $i ) > $o)).
% 48.03/31.10 tff(bitIndex0_type, type, (
% 48.03/31.10 bitIndex0: $i)).
% 48.03/31.10 tff(v227_type, type, (
% 48.03/31.10 v227: $i > $o)).
% 48.03/31.10 tff(v201_type, type, (
% 48.03/31.10 v201: $i > $o)).
% 48.03/31.10 tff(v198_type, type, (
% 48.03/31.10 v198: $i > $o)).
% 48.03/31.10 tff(v199_type, type, (
% 48.03/31.10 v199: $i > $o)).
% 48.03/31.10 tff(v141_type, type, (
% 48.03/31.10 v141: $i > $o)).
% 48.03/31.10 tff(v88_type, type, (
% 48.03/31.10 v88: ( $i * $i ) > $o)).
% 48.03/31.10 tff(v90_type, type, (
% 48.03/31.10 v90: ( $i * $i ) > $o)).
% 48.03/31.10 tff(constB60_type, type, (
% 48.03/31.10 constB60: $i)).
% 48.03/31.10 tff(v100_type, type, (
% 48.03/31.10 v100: $i > $o)).
% 48.03/31.10 tff(v110_type, type, (
% 48.03/31.10 v110: $i > $o)).
% 48.03/31.10 tff(v108_type, type, (
% 48.03/31.10 v108: $i > $o)).
% 48.03/31.10 tff(constB59_type, type, (
% 48.03/31.10 constB59: $i)).
% 48.03/31.10 tff(v112_type, type, (
% 48.03/31.10 v112: $i > $o)).
% 48.03/31.10 tff(v26_type, type, (
% 48.03/31.10 v26: $i > $o)).
% 48.03/31.10 tff(v113_type, type, (
% 48.03/31.10 v113: $i > $o)).
% 48.03/31.10 tff(v114_type, type, (
% 48.03/31.10 v114: $i > $o)).
% 48.03/31.10 tff(v115_type, type, (
% 48.03/31.10 v115: $i > $o)).
% 48.03/31.10 tff(v116_type, type, (
% 48.03/31.10 v116: $i > $o)).
% 48.03/31.10 tff(v117_type, type, (
% 48.03/31.10 v117: $i > $o)).
% 48.03/31.10 tff(v121_type, type, (
% 48.03/31.10 v121: $i > $o)).
% 48.03/31.10 tff(constB58_type, type, (
% 48.03/31.10 constB58: $i)).
% 48.03/31.10 tff(constB57_type, type, (
% 48.03/31.10 constB57: $i)).
% 48.03/31.10 tff(v118_type, type, (
% 48.03/31.10 v118: $i > $o)).
% 48.03/31.10 tff(v120_type, type, (
% 48.03/31.10 v120: $i > $o)).
% 48.03/31.10 tff(constB56_type, type, (
% 48.03/31.10 constB56: $i)).
% 48.03/31.10 tff(constB55_type, type, (
% 48.03/31.10 constB55: $i)).
% 48.03/31.10 tff(v125_type, type, (
% 48.03/31.10 v125: $i > $o)).
% 48.03/31.10 tff(constB54_type, type, (
% 48.03/31.10 constB54: $i)).
% 48.03/31.10 tff(constB53_type, type, (
% 48.03/31.10 constB53: $i)).
% 48.03/31.10 tff(v123_type, type, (
% 48.03/31.10 v123: $i > $o)).
% 48.03/31.10 tff(constB52_type, type, (
% 48.03/31.10 constB52: $i)).
% 48.03/31.10 tff(constB51_type, type, (
% 48.03/31.10 constB51: $i)).
% 48.03/31.10 tff(v122_type, type, (
% 48.03/31.10 v122: $i > $o)).
% 48.03/31.10 tff(constB50_type, type, (
% 48.03/31.10 constB50: $i)).
% 48.03/31.10 tff(constB49_type, type, (
% 48.03/31.10 constB49: $i)).
% 48.03/31.10 tff(constB48_type, type, (
% 48.03/31.10 constB48: $i)).
% 48.03/31.10 tff(constB47_type, type, (
% 48.03/31.10 constB47: $i)).
% 48.03/31.10 tff(v130_type, type, (
% 48.03/31.10 v130: ( $i * $i ) > $o)).
% 48.03/31.10 tff(constB45_type, type, (
% 48.03/31.10 constB45: $i)).
% 48.03/31.10 tff(constB44_type, type, (
% 48.03/31.10 constB44: $i)).
% 48.03/31.10 tff(v129_type, type, (
% 48.03/31.10 v129: ( $i * $i ) > $o)).
% 48.03/31.10 tff(v127_type, type, (
% 48.03/31.10 v127: ( $i * $i ) > $o)).
% 48.03/31.10 tff(constB43_type, type, (
% 48.03/31.10 constB43: $i)).
% 48.03/31.10 tff(constB42_type, type, (
% 48.03/31.10 constB42: $i)).
% 48.03/31.10 tff(constB40_type, type, (
% 48.03/31.10 constB40: $i)).
% 48.03/31.10 tff(constB39_type, type, (
% 48.03/31.10 constB39: $i)).
% 48.03/31.10 tff(constB38_type, type, (
% 48.03/31.10 constB38: $i)).
% 48.03/31.10 tff(constB37_type, type, (
% 48.03/31.10 constB37: $i)).
% 48.03/31.10 tff(constB36_type, type, (
% 48.03/31.10 constB36: $i)).
% 48.03/31.10 tff(constB35_type, type, (
% 48.03/31.10 constB35: $i)).
% 48.03/31.10 tff(constB34_type, type, (
% 48.03/31.10 constB34: $i)).
% 48.03/31.10 tff(constB33_type, type, (
% 48.03/31.10 constB33: $i)).
% 48.03/31.10 tff(constB32_type, type, (
% 48.03/31.10 constB32: $i)).
% 48.03/31.10 tff(constB31_type, type, (
% 48.03/31.10 constB31: $i)).
% 48.03/31.10 tff(constB30_type, type, (
% 48.03/31.10 constB30: $i)).
% 48.03/31.10 tff(constB29_type, type, (
% 48.03/31.10 constB29: $i)).
% 48.03/31.10 tff(constB28_type, type, (
% 48.03/31.10 constB28: $i)).
% 48.03/31.10 tff(constB27_type, type, (
% 48.03/31.10 constB27: $i)).
% 48.03/31.10 tff(constB26_type, type, (
% 48.03/31.10 constB26: $i)).
% 48.03/31.10 tff(constB25_type, type, (
% 48.03/31.10 constB25: $i)).
% 48.03/31.10 tff(constB24_type, type, (
% 48.03/31.10 constB24: $i)).
% 48.03/31.10 tff(constB23_type, type, (
% 48.03/31.10 constB23: $i)).
% 48.03/31.10 tff(constB22_type, type, (
% 48.03/31.10 constB22: $i)).
% 48.03/31.10 tff(constB21_type, type, (
% 48.03/31.10 constB21: $i)).
% 48.03/31.10 tff(constB20_type, type, (
% 48.03/31.10 constB20: $i)).
% 48.03/31.10 tff(constB19_type, type, (
% 48.03/31.10 constB19: $i)).
% 48.03/31.10 tff(constB18_type, type, (
% 48.03/31.10 constB18: $i)).
% 48.03/31.10 tff(constB17_type, type, (
% 48.03/31.10 constB17: $i)).
% 48.03/31.10 tff(constB16_type, type, (
% 48.03/31.10 constB16: $i)).
% 48.03/31.10 tff(constB15_type, type, (
% 48.03/31.10 constB15: $i)).
% 48.03/31.10 tff(constB14_type, type, (
% 48.03/31.10 constB14: $i)).
% 48.03/31.10 tff(constB13_type, type, (
% 48.03/31.10 constB13: $i)).
% 48.03/31.10 tff(constB12_type, type, (
% 48.03/31.10 constB12: $i)).
% 48.03/31.10 tff(constB11_type, type, (
% 48.03/31.10 constB11: $i)).
% 48.03/31.10 tff(constB10_type, type, (
% 48.03/31.10 constB10: $i)).
% 48.03/31.10 tff(constB9_type, type, (
% 48.03/31.10 constB9: $i)).
% 48.03/31.10 tff(constB8_type, type, (
% 48.03/31.10 constB8: $i)).
% 48.03/31.10 tff(constB7_type, type, (
% 48.03/31.10 constB7: $i)).
% 48.03/31.10 tff(constB5_type, type, (
% 48.03/31.10 constB5: $i)).
% 48.03/31.10 tff(constB6_type, type, (
% 48.03/31.10 constB6: $i)).
% 48.03/31.10 tff(v124_type, type, (
% 48.03/31.10 v124: $i > $o)).
% 48.03/31.10 tff(constB4_type, type, (
% 48.03/31.10 constB4: $i)).
% 48.03/31.10 tff(constB3_type, type, (
% 48.03/31.10 constB3: $i)).
% 48.03/31.10 tff(constB2_type, type, (
% 48.03/31.10 constB2: $i)).
% 48.03/31.10 tff(constB1_type, type, (
% 48.03/31.10 constB1: $i)).
% 48.03/31.10 tff(v119_type, type, (
% 48.03/31.10 v119: $i > $o)).
% 48.03/31.10 tff(v101_type, type, (
% 48.03/31.10 v101: $i > $o)).
% 48.03/31.10 tff(v1_type, type, (
% 48.03/31.10 v1: $i > $o)).
% 48.03/31.10 tff(nextState_type, type, (
% 48.03/31.10 nextState: ( $i * $i ) > $o)).
% 48.03/31.10 tff(constB0_type, type, (
% 48.03/31.10 constB0: $i)).
% 48.03/31.10 tff(v102_type, type, (
% 48.03/31.10 v102: $i > $o)).
% 48.03/31.10 tff(v104_type, type, (
% 48.03/31.10 v104: $i > $o)).
% 48.03/31.10 tff(constB46_type, type, (
% 48.03/31.10 constB46: $i)).
% 48.03/31.10 tff(v197_type, type, (
% 48.03/31.10 v197: $i > $o)).
% 48.03/31.10 tff(v228_type, type, (
% 48.03/31.10 v228: $i > $o)).
% 48.03/31.10 tff(v183_type, type, (
% 48.03/31.10 v183: $i > $o)).
% 48.03/31.10 tff(v237_type, type, (
% 48.03/31.10 v237: $i > $o)).
% 48.03/31.10 tff(bitIndex3_type, type, (
% 48.03/31.10 bitIndex3: $i)).
% 48.03/31.10 tff(v252_type, type, (
% 48.03/31.10 v252: $i > $o)).
% 48.03/31.10 tff(v148_type, type, (
% 48.03/31.10 v148: $i > $o)).
% 48.03/31.10 tff(v139_type, type, (
% 48.03/31.10 v139: $i > $o)).
% 48.03/31.10 tff(v140_type, type, (
% 48.03/31.10 v140: $i > $o)).
% 48.03/31.10 tff(v238_type, type, (
% 48.03/31.10 v238: $i > $o)).
% 48.03/31.10 tff(v242_type, type, (
% 48.03/31.10 v242: $i > $o)).
% 48.03/31.10 tff(v200_type, type, (
% 48.03/31.10 v200: $i > $o)).
% 48.03/31.10 tff(constB66_type, type, (
% 48.03/31.10 constB66: $i)).
% 48.03/31.10 tff(constB65_type, type, (
% 48.03/31.10 constB65: $i)).
% 48.03/31.10 tff(constB64_type, type, (
% 48.03/31.10 constB64: $i)).
% 48.03/31.10 tff(constB63_type, type, (
% 48.03/31.10 constB63: $i)).
% 48.03/31.10 tff(constB62_type, type, (
% 48.03/31.10 constB62: $i)).
% 48.03/31.10 tff(v241_type, type, (
% 48.03/31.10 v241: $i > $o)).
% 48.03/31.10 tff(v166_type, type, (
% 48.03/31.10 v166: $i > $o)).
% 48.03/31.10 tff(v142_type, type, (
% 48.03/31.10 v142: $i > $o)).
% 48.03/31.10 tff(v143_type, type, (
% 48.03/31.10 v143: $i > $o)).
% 48.03/31.10 tff(constB71_type, type, (
% 48.03/31.10 constB71: $i)).
% 48.03/31.10 tff(v231_type, type, (
% 48.03/31.10 v231: $i > $o)).
% 48.03/31.10 tff(constB70_type, type, (
% 48.03/31.10 constB70: $i)).
% 48.03/31.10 tff(constB69_type, type, (
% 48.03/31.10 constB69: $i)).
% 48.03/31.10 tff(constB68_type, type, (
% 48.03/31.10 constB68: $i)).
% 48.03/31.10 tff(v215_type, type, (
% 48.03/31.10 v215: $i > $o)).
% 48.03/31.10 tff(v211_type, type, (
% 48.03/31.10 v211: $i > $o)).
% 48.03/31.10 tff(v209_type, type, (
% 48.03/31.10 v209: $i > $o)).
% 48.03/31.10 tff(constB129_type, type, (
% 48.03/31.10 constB129: $i)).
% 48.03/31.10 tff(constB128_type, type, (
% 48.03/31.10 constB128: $i)).
% 48.03/31.10 tff(constB126_type, type, (
% 48.03/31.10 constB126: $i)).
% 48.03/31.10 tff(constB125_type, type, (
% 48.03/31.10 constB125: $i)).
% 48.03/31.10 tff(constB124_type, type, (
% 48.03/31.10 constB124: $i)).
% 48.03/31.10 tff(constB123_type, type, (
% 48.03/31.10 constB123: $i)).
% 48.03/31.10 tff(constB122_type, type, (
% 48.03/31.10 constB122: $i)).
% 48.03/31.10 tff(constB121_type, type, (
% 48.03/31.10 constB121: $i)).
% 48.03/31.10 tff(constB120_type, type, (
% 48.03/31.10 constB120: $i)).
% 48.03/31.10 tff(constB119_type, type, (
% 48.03/31.10 constB119: $i)).
% 48.03/31.10 tff(constB118_type, type, (
% 48.03/31.10 constB118: $i)).
% 48.03/31.10 tff(constB117_type, type, (
% 48.03/31.10 constB117: $i)).
% 48.03/31.10 tff(constB116_type, type, (
% 48.03/31.10 constB116: $i)).
% 48.03/31.10 tff(constB115_type, type, (
% 48.03/31.10 constB115: $i)).
% 48.03/31.10 tff(constB114_type, type, (
% 48.03/31.10 constB114: $i)).
% 48.03/31.10 tff(constB113_type, type, (
% 48.03/31.10 constB113: $i)).
% 48.03/31.10 tff(constB112_type, type, (
% 48.03/31.10 constB112: $i)).
% 48.03/31.10 tff(constB111_type, type, (
% 48.03/31.10 constB111: $i)).
% 48.03/31.10 tff(constB110_type, type, (
% 48.03/31.10 constB110: $i)).
% 48.03/31.10 tff(constB109_type, type, (
% 48.03/31.10 constB109: $i)).
% 48.03/31.10 tff(constB108_type, type, (
% 48.03/31.10 constB108: $i)).
% 48.03/31.10 tff(constB107_type, type, (
% 48.03/31.10 constB107: $i)).
% 48.03/31.10 tff(constB106_type, type, (
% 48.03/31.10 constB106: $i)).
% 48.03/31.10 tff(constB105_type, type, (
% 48.03/31.10 constB105: $i)).
% 48.03/31.10 tff(constB104_type, type, (
% 48.03/31.10 constB104: $i)).
% 48.03/31.10 tff(constB103_type, type, (
% 48.03/31.10 constB103: $i)).
% 48.03/31.10 tff(constB102_type, type, (
% 48.03/31.10 constB102: $i)).
% 48.03/31.10 tff(constB101_type, type, (
% 48.03/31.10 constB101: $i)).
% 48.03/31.10 tff(constB100_type, type, (
% 48.03/31.10 constB100: $i)).
% 48.03/31.10 tff(constB99_type, type, (
% 48.03/31.10 constB99: $i)).
% 48.03/31.10 tff(constB98_type, type, (
% 48.03/31.10 constB98: $i)).
% 48.03/31.10 tff(constB97_type, type, (
% 48.03/31.10 constB97: $i)).
% 48.03/31.10 tff(constB96_type, type, (
% 48.03/31.10 constB96: $i)).
% 48.03/31.10 tff(constB95_type, type, (
% 48.03/31.10 constB95: $i)).
% 48.03/31.10 tff(constB94_type, type, (
% 48.03/31.10 constB94: $i)).
% 48.03/31.10 tff(constB93_type, type, (
% 48.03/31.10 constB93: $i)).
% 48.03/31.10 tff(constB92_type, type, (
% 48.03/31.10 constB92: $i)).
% 48.03/31.10 tff(constB91_type, type, (
% 48.03/31.10 constB91: $i)).
% 48.03/31.10 tff(constB90_type, type, (
% 48.03/31.10 constB90: $i)).
% 48.03/31.10 tff(constB89_type, type, (
% 48.03/31.10 constB89: $i)).
% 48.03/31.10 tff(constB88_type, type, (
% 48.03/31.10 constB88: $i)).
% 48.03/31.10 tff(constB87_type, type, (
% 48.03/31.10 constB87: $i)).
% 48.03/31.10 tff(constB86_type, type, (
% 48.03/31.10 constB86: $i)).
% 48.03/31.10 tff(constB85_type, type, (
% 48.03/31.10 constB85: $i)).
% 48.03/31.10 tff(constB84_type, type, (
% 48.03/31.10 constB84: $i)).
% 48.03/31.10 tff(constB83_type, type, (
% 48.03/31.10 constB83: $i)).
% 48.03/31.10 tff(constB82_type, type, (
% 48.03/31.10 constB82: $i)).
% 48.03/31.10 tff(constB81_type, type, (
% 48.03/31.10 constB81: $i)).
% 48.03/31.10 tff(constB80_type, type, (
% 48.03/31.10 constB80: $i)).
% 48.03/31.10 tff(constB79_type, type, (
% 48.03/31.10 constB79: $i)).
% 48.03/31.10 tff(constB78_type, type, (
% 48.03/31.10 constB78: $i)).
% 48.03/31.10 tff(constB77_type, type, (
% 48.03/31.10 constB77: $i)).
% 48.03/31.10 tff(constB76_type, type, (
% 48.03/31.10 constB76: $i)).
% 48.03/31.10 tff(constB75_type, type, (
% 48.03/31.10 constB75: $i)).
% 48.03/31.10 tff(constB74_type, type, (
% 48.03/31.10 constB74: $i)).
% 48.03/31.10 tff(constB73_type, type, (
% 48.03/31.10 constB73: $i)).
% 48.03/31.10 tff(constB72_type, type, (
% 48.03/31.10 constB72: $i)).
% 48.03/31.10 tff(v60_type, type, (
% 48.03/31.10 v60: $i > $o)).
% 48.03/31.10 tff(v66_type, type, (
% 48.03/31.10 v66: $i > $o)).
% 48.03/31.10 tff(v64_type, type, (
% 48.03/31.10 v64: $i > $o)).
% 48.03/31.10 tff(v9_type, type, (
% 48.03/31.10 v9: $i > $o)).
% 48.03/31.10 tff(v13_type, type, (
% 48.03/31.10 v13: $i > $o)).
% 48.03/31.10 tff(v19_type, type, (
% 48.03/31.10 v19: $i > $o)).
% 48.03/31.10 tff(v18_type, type, (
% 48.03/31.10 v18: $i > $o)).
% 48.03/31.10 tff(v22_type, type, (
% 48.03/31.10 v22: $i > $o)).
% 48.03/31.10 tff(v74_type, type, (
% 48.03/31.10 v74: $i > $o)).
% 48.03/31.10 tff(v72_type, type, (
% 48.03/31.10 v72: $i > $o)).
% 48.03/31.10 tff(v71_type, type, (
% 48.03/31.10 v71: $i > $o)).
% 48.03/31.10 tff(v76_type, type, (
% 48.03/31.10 v76: $i > $o)).
% 48.03/31.10 tff(v80_type, type, (
% 48.03/31.10 v80: $i > $o)).
% 48.03/31.10 tff(v78_type, type, (
% 48.03/31.10 v78: $i > $o)).
% 48.03/31.10 tff(constB187_type, type, (
% 48.03/31.10 constB187: $i)).
% 48.03/31.10 tff(constB186_type, type, (
% 48.03/31.10 constB186: $i)).
% 48.03/31.10 tff(constB185_type, type, (
% 48.03/31.10 constB185: $i)).
% 48.03/31.10 tff(constB184_type, type, (
% 48.03/31.10 constB184: $i)).
% 48.03/31.10 tff(constB183_type, type, (
% 48.03/31.10 constB183: $i)).
% 48.03/31.10 tff(constB182_type, type, (
% 48.03/31.10 constB182: $i)).
% 48.03/31.10 tff(constB181_type, type, (
% 48.03/31.10 constB181: $i)).
% 48.03/31.10 tff(constB180_type, type, (
% 48.03/31.10 constB180: $i)).
% 48.03/31.10 tff(constB179_type, type, (
% 48.03/31.10 constB179: $i)).
% 48.03/31.10 tff(constB178_type, type, (
% 48.03/31.10 constB178: $i)).
% 48.03/31.10 tff(constB177_type, type, (
% 48.03/31.10 constB177: $i)).
% 48.03/31.10 tff(constB176_type, type, (
% 48.03/31.10 constB176: $i)).
% 48.03/31.10 tff(constB175_type, type, (
% 48.03/31.10 constB175: $i)).
% 48.03/31.10 tff(constB174_type, type, (
% 48.03/31.10 constB174: $i)).
% 48.03/31.10 tff(constB173_type, type, (
% 48.03/31.10 constB173: $i)).
% 48.03/31.10 tff(constB172_type, type, (
% 48.03/31.10 constB172: $i)).
% 48.03/31.10 tff(constB171_type, type, (
% 48.03/31.10 constB171: $i)).
% 48.03/31.10 tff(constB170_type, type, (
% 48.03/31.10 constB170: $i)).
% 48.03/31.10 tff(constB169_type, type, (
% 48.03/31.10 constB169: $i)).
% 48.03/31.10 tff(constB168_type, type, (
% 48.03/31.10 constB168: $i)).
% 48.03/31.10 tff(constB167_type, type, (
% 48.03/31.10 constB167: $i)).
% 48.03/31.10 tff(constB166_type, type, (
% 48.03/31.10 constB166: $i)).
% 48.03/31.10 tff(constB165_type, type, (
% 48.03/31.10 constB165: $i)).
% 48.03/31.10 tff(constB164_type, type, (
% 48.03/31.10 constB164: $i)).
% 48.03/31.10 tff(constB163_type, type, (
% 48.03/31.10 constB163: $i)).
% 48.03/31.10 tff(constB162_type, type, (
% 48.03/31.10 constB162: $i)).
% 48.03/31.10 tff(constB161_type, type, (
% 48.03/31.10 constB161: $i)).
% 48.03/31.10 tff(constB160_type, type, (
% 48.03/31.10 constB160: $i)).
% 48.03/31.10 tff(constB159_type, type, (
% 48.03/31.10 constB159: $i)).
% 48.03/31.10 tff(constB158_type, type, (
% 48.03/31.10 constB158: $i)).
% 48.03/31.10 tff(constB157_type, type, (
% 48.03/31.10 constB157: $i)).
% 48.03/31.10 tff(constB156_type, type, (
% 48.03/31.10 constB156: $i)).
% 48.03/31.10 tff(constB155_type, type, (
% 48.03/31.10 constB155: $i)).
% 48.03/31.10 tff(constB154_type, type, (
% 48.03/31.10 constB154: $i)).
% 48.03/31.10 tff(constB153_type, type, (
% 48.03/31.10 constB153: $i)).
% 48.03/31.10 tff(constB152_type, type, (
% 48.03/31.10 constB152: $i)).
% 48.03/31.10 tff(constB151_type, type, (
% 48.03/31.10 constB151: $i)).
% 48.03/31.10 tff(constB150_type, type, (
% 48.03/31.10 constB150: $i)).
% 48.03/31.10 tff(constB149_type, type, (
% 48.03/31.10 constB149: $i)).
% 48.03/31.10 tff(constB148_type, type, (
% 48.03/31.10 constB148: $i)).
% 48.03/31.10 tff(constB147_type, type, (
% 48.03/31.10 constB147: $i)).
% 48.03/31.10 tff(constB146_type, type, (
% 48.03/31.10 constB146: $i)).
% 48.03/31.10 tff(constB145_type, type, (
% 48.03/31.10 constB145: $i)).
% 48.03/31.10 tff(constB144_type, type, (
% 48.03/31.10 constB144: $i)).
% 48.03/31.10 tff(constB143_type, type, (
% 48.03/31.10 constB143: $i)).
% 48.03/31.10 tff(constB141_type, type, (
% 48.03/31.10 constB141: $i)).
% 48.03/31.10 tff(constB140_type, type, (
% 48.03/31.10 constB140: $i)).
% 48.03/31.10 tff(constB139_type, type, (
% 48.03/31.10 constB139: $i)).
% 48.03/31.10 tff(constB138_type, type, (
% 48.03/31.10 constB138: $i)).
% 48.03/31.10 tff(constB137_type, type, (
% 48.03/31.10 constB137: $i)).
% 48.03/31.10 tff(constB136_type, type, (
% 48.03/31.10 constB136: $i)).
% 48.03/31.10 tff(constB135_type, type, (
% 48.03/31.10 constB135: $i)).
% 48.03/31.10 tff(constB134_type, type, (
% 48.03/31.10 constB134: $i)).
% 48.03/31.10 tff(constB133_type, type, (
% 48.03/31.10 constB133: $i)).
% 48.03/31.10 tff(constB132_type, type, (
% 48.03/31.10 constB132: $i)).
% 48.03/31.10 tff(constB131_type, type, (
% 48.03/31.10 constB131: $i)).
% 48.03/31.10 tff(constB130_type, type, (
% 48.03/31.10 constB130: $i)).
% 48.03/31.10 tff(constB142_type, type, (
% 48.03/31.10 constB142: $i)).
% 48.03/31.10 tff(v144_type, type, (
% 48.03/31.10 v144: $i > $o)).
% 48.03/31.10 tff(constB195_type, type, (
% 48.03/31.10 constB195: $i)).
% 48.03/31.10 tff(constB194_type, type, (
% 48.03/31.10 constB194: $i)).
% 48.03/31.10 tff(constB193_type, type, (
% 48.03/31.10 constB193: $i)).
% 48.03/31.10 tff(constB192_type, type, (
% 48.03/31.10 constB192: $i)).
% 48.03/31.10 tff(constB191_type, type, (
% 48.03/31.10 constB191: $i)).
% 48.03/31.10 tff(constB189_type, type, (
% 48.03/31.10 constB189: $i)).
% 48.03/31.10 tff(constB188_type, type, (
% 48.03/31.10 constB188: $i)).
% 48.03/31.10 tff(constB190_type, type, (
% 48.03/31.10 constB190: $i)).
% 48.03/31.10 tff(constB197_type, type, (
% 48.03/31.10 constB197: $i)).
% 48.03/31.10 tff(constB196_type, type, (
% 48.03/31.10 constB196: $i)).
% 48.03/31.10 tff(v256_type, type, (
% 48.03/31.10 v256: $i > $o)).
% 48.03/31.10 tff(v146_type, type, (
% 48.03/31.10 v146: $i > $o)).
% 48.03/31.10 tff(v145_type, type, (
% 48.03/31.10 v145: $i > $o)).
% 48.03/31.10 tff(v147_type, type, (
% 48.03/31.10 v147: $i > $o)).
% 48.03/31.10 tff(constB199_type, type, (
% 48.03/31.10 constB199: $i)).
% 48.03/31.10 tff(constB198_type, type, (
% 48.03/31.10 constB198: $i)).
% 48.03/31.10 tff(constB200_type, type, (
% 48.03/31.10 constB200: $i)).
% 48.03/31.10 tff(reachableState_type, type, (
% 48.03/31.10 reachableState: $i > $o)).
% 48.03/31.10 tff(1,assumption,(constB67 = sK0_VarCurr), introduced(assumption)).
% 48.03/31.10 tff(2,plain,
% 48.03/31.10 (v222(constB67) <=> v222(sK0_VarCurr)),
% 48.03/31.10 inference(monotonicity,[status(thm)],[1])).
% 48.03/31.10 tff(3,plain,
% 48.03/31.10 (v222(sK0_VarCurr) <=> v222(constB67)),
% 48.03/31.10 inference(symmetry,[status(thm)],[2])).
% 48.03/31.10 tff(4,assumption,(v248(sK0_VarCurr)), introduced(assumption)).
% 48.03/31.10 tff(5,assumption,(constB61 = sK0_VarCurr), introduced(assumption)).
% 48.03/31.10 tff(6,plain,
% 48.03/31.10 (v248(constB61) <=> v248(sK0_VarCurr)),
% 48.03/31.10 inference(monotonicity,[status(thm)],[5])).
% 48.03/31.10 tff(7,plain,
% 48.03/31.10 (v248(sK0_VarCurr) <=> v248(constB61)),
% 48.03/31.10 inference(symmetry,[status(thm)],[6])).
% 48.03/31.10 tff(8,plain,
% 48.03/31.10 (v248(constB61)),
% 48.03/31.10 inference(modus_ponens,[status(thm)],[4, 7])).
% 48.03/31.10 tff(9,assumption,(v26(constB59)), introduced(assumption)).
% 48.03/31.10 tff(10,plain,
% 48.03/31.10 (^[VarCurr: $i] : refl((~v26(VarCurr)) <=> (~v26(VarCurr)))),
% 48.03/31.10 inference(bind,[status(th)],[])).
% 48.03/31.10 tff(11,plain,
% 48.03/31.10 (![VarCurr: $i] : (~v26(VarCurr)) <=> ![VarCurr: $i] : (~v26(VarCurr))),
% 48.03/31.10 inference(quant_intro,[status(thm)],[10])).
% 48.03/31.10 tff(12,plain,
% 48.03/31.10 (![VarCurr: $i] : (~v26(VarCurr)) <=> ![VarCurr: $i] : (~v26(VarCurr))),
% 48.03/31.10 inference(rewrite,[status(thm)],[])).
% 48.03/31.10 tff(13,axiom,(![VarCurr: $i] : (~v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_1_1_1')).
% 48.03/31.10 tff(14,plain,
% 48.03/31.10 (![VarCurr: $i] : (~v26(VarCurr))),
% 48.03/31.10 inference(modus_ponens,[status(thm)],[13, 12])).
% 48.03/31.10 tff(15,plain,(
% 48.03/31.10 ![VarCurr: $i] : (~v26(VarCurr))),
% 48.03/31.10 inference(skolemize,[status(sab)],[14])).
% 48.03/31.10 tff(16,plain,
% 48.03/31.10 (![VarCurr: $i] : (~v26(VarCurr))),
% 48.03/31.10 inference(modus_ponens,[status(thm)],[15, 11])).
% 48.03/31.10 tff(17,plain,
% 48.03/31.10 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB59))),
% 48.03/31.10 inference(quant_inst,[status(thm)],[])).
% 48.03/31.10 tff(18,plain,
% 48.03/31.10 ($false),
% 48.03/31.10 inference(unit_resolution,[status(thm)],[17, 16, 9])).
% 48.03/31.10 tff(19,plain,(~v26(constB59)), inference(lemma,lemma(discharge,[]))).
% 48.03/31.10 tff(20,assumption,(v26(constB7)), introduced(assumption)).
% 48.03/31.10 tff(21,plain,
% 48.03/31.10 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB7))),
% 48.03/31.10 inference(quant_inst,[status(thm)],[])).
% 48.03/31.10 tff(22,plain,
% 48.03/31.10 ($false),
% 48.03/31.10 inference(unit_resolution,[status(thm)],[21, 16, 20])).
% 48.03/31.10 tff(23,plain,(~v26(constB7)), inference(lemma,lemma(discharge,[]))).
% 48.03/31.10 tff(24,assumption,(v26(constB5)), introduced(assumption)).
% 48.03/31.10 tff(25,plain,
% 48.03/31.10 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB5))),
% 48.03/31.10 inference(quant_inst,[status(thm)],[])).
% 48.03/31.10 tff(26,plain,
% 48.03/31.10 ($false),
% 48.03/31.10 inference(unit_resolution,[status(thm)],[25, 16, 24])).
% 48.03/31.10 tff(27,plain,(~v26(constB5)), inference(lemma,lemma(discharge,[]))).
% 48.03/31.10 tff(28,assumption,(~v120(constB7)), introduced(assumption)).
% 48.03/31.10 tff(29,assumption,(~v26(constB5)), introduced(assumption)).
% 48.03/31.10 tff(30,assumption,(v26(constB1)), introduced(assumption)).
% 48.03/31.10 tff(31,plain,
% 48.03/31.10 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB1))),
% 48.03/31.10 inference(quant_inst,[status(thm)],[])).
% 48.03/31.10 tff(32,plain,
% 48.03/31.10 ($false),
% 48.03/31.10 inference(unit_resolution,[status(thm)],[31, 16, 30])).
% 48.03/31.10 tff(33,plain,(~v26(constB1)), inference(lemma,lemma(discharge,[]))).
% 48.03/31.10 tff(34,plain,
% 48.03/31.10 ((~v1(constB1)) <=> (~v1(constB1))),
% 48.03/31.10 inference(rewrite,[status(thm)],[])).
% 48.03/31.10 tff(35,axiom,(~v1(constB1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_1_1_1')).
% 48.03/31.10 tff(36,plain,
% 48.03/31.10 (~v1(constB1)),
% 48.03/31.10 inference(modus_ponens,[status(thm)],[35, 34])).
% 48.03/31.10 tff(37,plain,
% 48.03/31.10 (nextState(constB0, constB1) <=> nextState(constB0, constB1)),
% 48.03/31.10 inference(rewrite,[status(thm)],[])).
% 48.03/31.10 tff(38,axiom,(nextState(constB0, constB1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_200')).
% 48.03/31.10 tff(39,plain,
% 48.03/31.10 (nextState(constB0, constB1)),
% 48.03/31.10 inference(modus_ponens,[status(thm)],[38, 37])).
% 48.03/31.10 tff(40,plain,
% 48.03/31.10 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)))),
% 48.03/31.10 inference(bind,[status(th)],[])).
% 48.03/31.10 tff(41,plain,
% 48.03/31.10 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 48.03/31.10 inference(quant_intro,[status(thm)],[40])).
% 48.03/31.10 tff(42,plain,
% 48.03/31.10 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 48.03/31.10 inference(rewrite,[status(thm)],[])).
% 48.03/31.10 tff(43,plain,
% 48.03/31.10 (^[VarNext: $i, VarCurr: $i] : rewrite(((v1(VarNext) | (~v101(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)))),
% 48.03/31.10 inference(bind,[status(th)],[])).
% 48.03/31.10 tff(44,plain,
% 48.03/31.10 (![VarNext: $i, VarCurr: $i] : ((v1(VarNext) | (~v101(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 48.03/31.10 inference(quant_intro,[status(thm)],[43])).
% 48.03/31.10 tff(45,axiom,(![VarNext: $i, VarCurr: $i] : ((v1(VarNext) | (~v101(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_18_1_2')).
% 48.03/31.10 tff(46,plain,
% 48.03/31.10 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 48.03/31.10 inference(modus_ponens,[status(thm)],[45, 44])).
% 48.03/31.10 tff(47,plain,
% 48.03/31.10 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 48.03/31.10 inference(modus_ponens,[status(thm)],[46, 42])).
% 48.03/31.10 tff(48,plain,(
% 48.03/31.10 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 48.03/31.10 inference(skolemize,[status(sab)],[47])).
% 48.03/31.10 tff(49,plain,
% 48.03/31.10 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 48.03/31.10 inference(modus_ponens,[status(thm)],[48, 41])).
% 48.03/31.10 tff(50,plain,
% 48.03/31.10 (((~![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)))),
% 48.03/31.10 inference(rewrite,[status(thm)],[])).
% 48.03/31.10 tff(51,plain,
% 48.03/31.10 (((~nextState(constB0, constB1)) | (~v101(constB1)) | v1(constB1)) <=> (v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1)))),
% 48.03/31.10 inference(rewrite,[status(thm)],[])).
% 48.03/31.10 tff(52,plain,
% 48.03/31.10 (((~![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))))),
% 48.03/31.10 inference(monotonicity,[status(thm)],[51])).
% 48.03/31.10 tff(53,plain,
% 48.03/31.10 (((~![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)))),
% 48.03/31.10 inference(transitivity,[status(thm)],[52, 50])).
% 48.03/31.10 tff(54,plain,
% 48.03/31.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB0, constB1)) | (~v101(constB1)) | v1(constB1))),
% 48.03/31.10 inference(quant_inst,[status(thm)],[])).
% 48.03/31.10 tff(55,plain,
% 48.03/31.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1))),
% 48.03/31.10 inference(modus_ponens,[status(thm)],[54, 53])).
% 48.03/31.10 tff(56,plain,
% 48.03/31.10 (~v101(constB1)),
% 48.03/31.10 inference(unit_resolution,[status(thm)],[55, 49, 39, 36])).
% 48.03/31.10 tff(57,plain,
% 48.03/31.10 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))))),
% 48.03/31.10 inference(bind,[status(th)],[])).
% 48.03/31.10 tff(58,plain,
% 48.03/31.10 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 48.03/31.10 inference(quant_intro,[status(thm)],[57])).
% 48.03/31.10 tff(59,plain,
% 48.03/31.10 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 48.03/31.10 inference(rewrite,[status(thm)],[])).
% 48.03/31.10 tff(60,plain,
% 48.03/31.10 (^[VarNext: $i, VarCurr: $i] : rewrite(((v101(VarNext) | (~v100(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))))),
% 48.03/31.10 inference(bind,[status(th)],[])).
% 48.03/31.10 tff(61,plain,
% 48.03/31.10 (![VarNext: $i, VarCurr: $i] : ((v101(VarNext) | (~v100(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 48.03/31.10 inference(quant_intro,[status(thm)],[60])).
% 48.03/31.10 tff(62,axiom,(![VarNext: $i, VarCurr: $i] : ((v101(VarNext) | (~v100(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_27_1_3')).
% 48.03/31.10 tff(63,plain,
% 48.03/31.10 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 48.03/31.10 inference(modus_ponens,[status(thm)],[62, 61])).
% 48.03/31.10 tff(64,plain,
% 48.03/31.10 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 48.03/31.10 inference(modus_ponens,[status(thm)],[63, 59])).
% 48.03/31.10 tff(65,plain,(
% 48.03/31.10 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 48.03/31.10 inference(skolemize,[status(sab)],[64])).
% 48.03/31.10 tff(66,plain,
% 48.03/31.10 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 48.03/31.10 inference(modus_ponens,[status(thm)],[65, 58])).
% 48.03/31.10 tff(67,plain,
% 48.03/31.10 (((~![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)))),
% 48.03/31.10 inference(rewrite,[status(thm)],[])).
% 48.03/31.10 tff(68,plain,
% 48.03/31.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB0, constB1)) | v101(constB1) | (~v100(constB1)))),
% 48.03/31.10 inference(quant_inst,[status(thm)],[])).
% 48.03/31.10 tff(69,plain,
% 48.03/31.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB0, constB1)) | v101(constB1) | (~v100(constB1))),
% 48.03/31.10 inference(modus_ponens,[status(thm)],[68, 67])).
% 48.03/31.10 tff(70,plain,
% 48.03/31.10 (v101(constB1) | (~v100(constB1))),
% 48.03/31.10 inference(unit_resolution,[status(thm)],[69, 66, 39])).
% 48.03/31.10 tff(71,plain,
% 48.03/31.10 (~v100(constB1)),
% 48.03/31.10 inference(unit_resolution,[status(thm)],[70, 56])).
% 48.03/31.10 tff(72,plain,
% 48.03/31.10 (^[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))))),
% 48.03/31.11 inference(bind,[status(th)],[])).
% 48.03/31.11 tff(73,plain,
% 48.03/31.11 (![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)))),
% 48.03/31.11 inference(quant_intro,[status(thm)],[72])).
% 48.03/31.11 tff(74,plain,
% 48.03/31.11 (![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)))),
% 48.03/31.11 inference(rewrite,[status(thm)],[])).
% 48.03/31.11 tff(75,plain,
% 48.03/31.11 (^[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)))))),
% 48.03/31.11 inference(bind,[status(th)],[])).
% 48.03/31.11 tff(76,plain,
% 48.03/31.11 (![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)))),
% 48.03/31.11 inference(quant_intro,[status(thm)],[75])).
% 48.03/31.11 tff(77,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')).
% 48.03/31.11 tff(78,plain,
% 48.03/31.11 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 48.03/31.11 inference(modus_ponens,[status(thm)],[77, 76])).
% 48.03/31.11 tff(79,plain,
% 48.03/31.11 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 48.03/31.11 inference(modus_ponens,[status(thm)],[78, 74])).
% 48.03/31.11 tff(80,plain,(
% 48.03/31.11 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 48.03/31.11 inference(skolemize,[status(sab)],[79])).
% 48.03/31.11 tff(81,plain,
% 48.03/31.11 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))),
% 48.03/31.11 inference(modus_ponens,[status(thm)],[80, 73])).
% 48.03/31.11 tff(82,plain,
% 48.03/31.11 ((~v90(constB0, bitIndex2)) <=> (~v90(constB0, bitIndex2))),
% 48.03/31.11 inference(rewrite,[status(thm)],[])).
% 48.03/31.11 tff(83,axiom,(~v90(constB0, bitIndex2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_4_1_1')).
% 48.03/31.11 tff(84,plain,
% 48.03/31.11 (~v90(constB0, bitIndex2)),
% 48.03/31.11 inference(modus_ponens,[status(thm)],[83, 82])).
% 48.03/31.11 tff(85,plain,
% 48.03/31.11 (((~![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)))),
% 48.03/31.11 inference(rewrite,[status(thm)],[])).
% 48.03/31.11 tff(86,plain,
% 48.03/31.11 (((~nextState(constB0, constB1)) | v90(constB0, bitIndex2) | v100(constB1) | (~v90(constB1, bitIndex2))) <=> (v90(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex2)))),
% 48.03/31.11 inference(rewrite,[status(thm)],[])).
% 48.03/31.11 tff(87,plain,
% 48.03/31.11 (((~![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))))),
% 48.03/31.11 inference(monotonicity,[status(thm)],[86])).
% 48.03/31.11 tff(88,plain,
% 48.03/31.11 (((~![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)))),
% 48.03/31.11 inference(transitivity,[status(thm)],[87, 85])).
% 48.03/31.11 tff(89,plain,
% 48.03/31.11 ((~![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)))),
% 48.03/31.11 inference(quant_inst,[status(thm)],[])).
% 48.03/31.11 tff(90,plain,
% 48.03/31.11 ((~![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))),
% 48.03/31.11 inference(modus_ponens,[status(thm)],[89, 88])).
% 48.03/31.11 tff(91,plain,
% 48.03/31.11 (v100(constB1) | (~v90(constB1, bitIndex2))),
% 48.03/31.11 inference(unit_resolution,[status(thm)],[90, 84, 81, 39])).
% 48.03/31.11 tff(92,plain,
% 48.03/31.11 (~v90(constB1, bitIndex2)),
% 48.03/31.11 inference(unit_resolution,[status(thm)],[91, 71])).
% 48.03/31.11 tff(93,plain,
% 48.03/31.11 (^[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))))),
% 48.03/31.11 inference(bind,[status(th)],[])).
% 48.03/31.11 tff(94,plain,
% 48.03/31.11 (![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)))),
% 48.03/31.11 inference(quant_intro,[status(thm)],[93])).
% 48.03/31.11 tff(95,plain,
% 48.03/31.11 (![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)))),
% 48.03/31.11 inference(rewrite,[status(thm)],[])).
% 48.03/31.11 tff(96,plain,
% 48.03/31.11 (^[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)))))),
% 48.03/31.11 inference(bind,[status(th)],[])).
% 48.03/31.11 tff(97,plain,
% 48.03/31.11 (![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)))),
% 48.03/31.11 inference(quant_intro,[status(thm)],[96])).
% 48.03/31.11 tff(98,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')).
% 48.03/31.11 tff(99,plain,
% 48.03/31.11 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 48.03/31.11 inference(modus_ponens,[status(thm)],[98, 97])).
% 48.03/31.11 tff(100,plain,
% 48.03/31.11 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 48.03/31.11 inference(modus_ponens,[status(thm)],[99, 95])).
% 48.03/31.11 tff(101,plain,(
% 48.03/31.11 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 48.03/31.11 inference(skolemize,[status(sab)],[100])).
% 48.03/31.11 tff(102,plain,
% 48.03/31.11 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))),
% 48.03/31.11 inference(modus_ponens,[status(thm)],[101, 94])).
% 48.03/31.11 tff(103,plain,
% 48.03/31.11 ((~v90(constB0, bitIndex1)) <=> (~v90(constB0, bitIndex1))),
% 48.03/31.11 inference(rewrite,[status(thm)],[])).
% 48.03/31.11 tff(104,axiom,(~v90(constB0, bitIndex1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_3_1_1')).
% 48.03/31.11 tff(105,plain,
% 48.03/31.11 (~v90(constB0, bitIndex1)),
% 48.03/31.11 inference(modus_ponens,[status(thm)],[104, 103])).
% 48.03/31.11 tff(106,plain,
% 48.03/31.11 (((~![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)))),
% 48.03/31.11 inference(rewrite,[status(thm)],[])).
% 48.03/31.11 tff(107,plain,
% 48.03/31.11 (((~nextState(constB0, constB1)) | v90(constB0, bitIndex1) | v100(constB1) | (~v90(constB1, bitIndex1))) <=> (v90(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex1)))),
% 48.03/31.11 inference(rewrite,[status(thm)],[])).
% 48.03/31.11 tff(108,plain,
% 48.03/31.11 (((~![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))))),
% 48.03/31.11 inference(monotonicity,[status(thm)],[107])).
% 48.03/31.11 tff(109,plain,
% 48.03/31.11 (((~![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)))),
% 48.03/31.11 inference(transitivity,[status(thm)],[108, 106])).
% 48.03/31.11 tff(110,plain,
% 48.03/31.11 ((~![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)))),
% 48.03/31.11 inference(quant_inst,[status(thm)],[])).
% 48.03/31.11 tff(111,plain,
% 48.03/31.11 ((~![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))),
% 48.03/31.11 inference(modus_ponens,[status(thm)],[110, 109])).
% 48.03/31.11 tff(112,plain,
% 48.03/31.11 (v100(constB1) | (~v90(constB1, bitIndex1))),
% 48.03/31.11 inference(unit_resolution,[status(thm)],[111, 105, 102, 39])).
% 48.03/31.11 tff(113,plain,
% 48.03/31.11 (~v90(constB1, bitIndex1)),
% 48.03/31.11 inference(unit_resolution,[status(thm)],[112, 71])).
% 48.03/31.11 tff(114,plain,
% 48.03/31.11 (^[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))))),
% 48.03/31.11 inference(bind,[status(th)],[])).
% 48.03/31.11 tff(115,plain,
% 48.03/31.11 (![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)))),
% 48.03/31.11 inference(quant_intro,[status(thm)],[114])).
% 48.03/31.11 tff(116,plain,
% 48.03/31.11 (![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)))),
% 48.03/31.11 inference(rewrite,[status(thm)],[])).
% 48.03/31.11 tff(117,plain,
% 48.03/31.11 (^[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)))))),
% 48.03/31.11 inference(bind,[status(th)],[])).
% 48.03/31.11 tff(118,plain,
% 48.03/31.11 (![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)))),
% 48.03/31.11 inference(quant_intro,[status(thm)],[117])).
% 48.03/31.11 tff(119,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')).
% 48.03/31.11 tff(120,plain,
% 48.03/31.11 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 48.03/31.11 inference(modus_ponens,[status(thm)],[119, 118])).
% 48.03/31.11 tff(121,plain,
% 48.03/31.11 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 48.03/31.11 inference(modus_ponens,[status(thm)],[120, 116])).
% 48.03/31.11 tff(122,plain,(
% 48.03/31.11 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 48.03/31.11 inference(skolemize,[status(sab)],[121])).
% 48.03/31.11 tff(123,plain,
% 48.03/31.11 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))),
% 48.03/31.11 inference(modus_ponens,[status(thm)],[122, 115])).
% 48.03/31.11 tff(124,plain,
% 48.03/31.11 ((~v90(constB0, bitIndex0)) <=> (~v90(constB0, bitIndex0))),
% 48.03/31.11 inference(rewrite,[status(thm)],[])).
% 48.03/31.11 tff(125,axiom,(~v90(constB0, bitIndex0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_2_1_1')).
% 48.03/31.11 tff(126,plain,
% 48.03/31.11 (~v90(constB0, bitIndex0)),
% 48.03/31.11 inference(modus_ponens,[status(thm)],[125, 124])).
% 48.03/31.11 tff(127,plain,
% 48.03/31.11 (((~![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)))),
% 48.03/31.11 inference(rewrite,[status(thm)],[])).
% 48.03/31.11 tff(128,plain,
% 48.03/31.11 (((~nextState(constB0, constB1)) | v90(constB0, bitIndex0) | v100(constB1) | (~v90(constB1, bitIndex0))) <=> (v90(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, bitIndex0)))),
% 48.03/31.11 inference(rewrite,[status(thm)],[])).
% 48.03/31.11 tff(129,plain,
% 48.03/31.11 (((~![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))))),
% 48.03/31.11 inference(monotonicity,[status(thm)],[128])).
% 48.03/31.11 tff(130,plain,
% 48.03/31.11 (((~![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)))),
% 48.03/31.11 inference(transitivity,[status(thm)],[129, 127])).
% 48.03/31.11 tff(131,plain,
% 48.03/31.11 ((~![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)))),
% 48.03/31.11 inference(quant_inst,[status(thm)],[])).
% 48.03/31.11 tff(132,plain,
% 48.03/31.11 ((~![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))),
% 48.03/31.11 inference(modus_ponens,[status(thm)],[131, 130])).
% 48.03/31.11 tff(133,plain,
% 48.03/31.11 (v100(constB1) | (~v90(constB1, bitIndex0))),
% 48.03/31.11 inference(unit_resolution,[status(thm)],[132, 126, 123, 39])).
% 48.03/31.11 tff(134,plain,
% 48.03/31.11 (~v90(constB1, bitIndex0)),
% 48.03/31.11 inference(unit_resolution,[status(thm)],[133, 71])).
% 48.03/31.11 tff(135,plain,
% 48.03/31.11 (^[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)))),
% 48.03/31.11 inference(bind,[status(th)],[])).
% 48.03/31.11 tff(136,plain,
% 48.03/31.11 (![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))),
% 48.03/31.11 inference(quant_intro,[status(thm)],[135])).
% 48.03/31.11 tff(137,plain,
% 48.03/31.11 (![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))),
% 48.03/31.11 inference(rewrite,[status(thm)],[])).
% 48.03/31.11 tff(138,plain,
% 48.03/31.11 (^[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))))),
% 48.03/31.11 inference(bind,[status(th)],[])).
% 48.03/31.11 tff(139,plain,
% 48.03/31.11 (![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))),
% 48.03/31.11 inference(quant_intro,[status(thm)],[138])).
% 48.03/31.11 tff(140,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')).
% 48.03/31.11 tff(141,plain,
% 48.03/31.11 (![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 48.03/31.11 inference(modus_ponens,[status(thm)],[140, 139])).
% 48.03/31.11 tff(142,plain,
% 48.03/31.11 (![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 48.03/31.11 inference(modus_ponens,[status(thm)],[141, 137])).
% 48.03/31.11 tff(143,plain,(
% 48.03/31.11 ![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 48.03/31.11 inference(skolemize,[status(sab)],[142])).
% 48.03/31.11 tff(144,plain,
% 48.03/31.11 (![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 48.03/31.11 inference(modus_ponens,[status(thm)],[143, 136])).
% 48.03/31.11 tff(145,plain,
% 48.03/31.11 (((~![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))),
% 48.03/31.11 inference(rewrite,[status(thm)],[])).
% 48.03/31.11 tff(146,plain,
% 48.03/31.11 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB1) | v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2))),
% 48.03/31.11 inference(quant_inst,[status(thm)],[])).
% 48.03/31.11 tff(147,plain,
% 48.03/31.11 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB1) | v90(constB1, bitIndex0) | v90(constB1, bitIndex1) | v90(constB1, bitIndex2)),
% 48.03/31.11 inference(modus_ponens,[status(thm)],[146, 145])).
% 48.03/31.11 tff(148,plain,
% 48.03/31.11 (v119(constB1)),
% 48.03/31.11 inference(unit_resolution,[status(thm)],[147, 144, 134, 113, 92])).
% 48.03/31.11 tff(149,plain,
% 48.03/31.11 (^[VarCurr: $i] : refl((v118(VarCurr) | (~v119(VarCurr))) <=> (v118(VarCurr) | (~v119(VarCurr))))),
% 48.03/31.11 inference(bind,[status(th)],[])).
% 48.03/31.11 tff(150,plain,
% 48.03/31.11 (![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr))) <=> ![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))),
% 48.03/31.11 inference(quant_intro,[status(thm)],[149])).
% 48.03/31.11 tff(151,plain,
% 48.03/31.11 (![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr))) <=> ![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))),
% 48.03/31.11 inference(rewrite,[status(thm)],[])).
% 48.03/31.11 tff(152,axiom,(![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_19_1_2')).
% 48.03/31.11 tff(153,plain,
% 48.03/31.11 (![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))),
% 48.03/31.11 inference(modus_ponens,[status(thm)],[152, 151])).
% 48.03/31.11 tff(154,plain,(
% 48.03/31.11 ![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))),
% 48.03/31.11 inference(skolemize,[status(sab)],[153])).
% 48.03/31.11 tff(155,plain,
% 48.03/31.11 (![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))),
% 48.03/31.11 inference(modus_ponens,[status(thm)],[154, 150])).
% 48.03/31.11 tff(156,plain,
% 48.03/31.11 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB1) | (~v119(constB1)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB1) | (~v119(constB1)))),
% 48.03/31.11 inference(rewrite,[status(thm)],[])).
% 48.03/31.11 tff(157,plain,
% 48.03/31.11 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB1) | (~v119(constB1)))),
% 48.03/31.11 inference(quant_inst,[status(thm)],[])).
% 48.03/31.11 tff(158,plain,
% 48.03/31.11 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB1) | (~v119(constB1))),
% 48.03/31.11 inference(modus_ponens,[status(thm)],[157, 156])).
% 48.03/31.11 tff(159,plain,
% 48.03/31.11 (v118(constB1)),
% 48.03/31.11 inference(unit_resolution,[status(thm)],[158, 155, 148])).
% 48.03/31.11 tff(160,plain,
% 48.03/31.11 (^[VarCurr: $i] : refl((v117(VarCurr) | (~v118(VarCurr))) <=> (v117(VarCurr) | (~v118(VarCurr))))),
% 48.03/31.11 inference(bind,[status(th)],[])).
% 48.03/31.11 tff(161,plain,
% 48.03/31.11 (![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr))) <=> ![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))),
% 48.03/31.11 inference(quant_intro,[status(thm)],[160])).
% 48.03/31.11 tff(162,plain,
% 48.03/31.11 (![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr))) <=> ![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))),
% 48.03/31.11 inference(rewrite,[status(thm)],[])).
% 48.03/31.11 tff(163,axiom,(![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_20_1_2')).
% 48.03/31.11 tff(164,plain,
% 48.03/31.11 (![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))),
% 48.03/31.11 inference(modus_ponens,[status(thm)],[163, 162])).
% 48.03/31.11 tff(165,plain,(
% 48.03/31.11 ![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))),
% 48.03/31.11 inference(skolemize,[status(sab)],[164])).
% 48.03/31.11 tff(166,plain,
% 48.03/31.11 (![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))),
% 48.03/31.11 inference(modus_ponens,[status(thm)],[165, 161])).
% 48.03/31.11 tff(167,plain,
% 48.03/31.11 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB1) | (~v118(constB1)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB1) | (~v118(constB1)))),
% 48.03/31.11 inference(rewrite,[status(thm)],[])).
% 48.03/31.11 tff(168,plain,
% 48.03/31.11 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB1) | (~v118(constB1)))),
% 48.03/31.11 inference(quant_inst,[status(thm)],[])).
% 48.03/31.11 tff(169,plain,
% 48.03/31.11 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB1) | (~v118(constB1))),
% 48.03/31.11 inference(modus_ponens,[status(thm)],[168, 167])).
% 48.03/31.11 tff(170,plain,
% 48.03/31.11 (v117(constB1)),
% 48.03/31.11 inference(unit_resolution,[status(thm)],[169, 166, 159])).
% 48.03/31.11 tff(171,plain,
% 48.03/31.11 (^[VarCurr: $i] : refl((v116(VarCurr) | (~v117(VarCurr))) <=> (v116(VarCurr) | (~v117(VarCurr))))),
% 48.03/31.11 inference(bind,[status(th)],[])).
% 48.03/31.11 tff(172,plain,
% 48.03/31.11 (![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr))) <=> ![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))),
% 48.03/31.11 inference(quant_intro,[status(thm)],[171])).
% 48.03/31.11 tff(173,plain,
% 48.03/31.11 (![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr))) <=> ![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))),
% 48.03/31.11 inference(rewrite,[status(thm)],[])).
% 48.03/31.11 tff(174,axiom,(![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_21_1_2')).
% 48.03/31.11 tff(175,plain,
% 48.03/31.11 (![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))),
% 48.03/31.11 inference(modus_ponens,[status(thm)],[174, 173])).
% 48.03/31.11 tff(176,plain,(
% 48.03/31.11 ![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))),
% 48.03/31.11 inference(skolemize,[status(sab)],[175])).
% 48.03/31.11 tff(177,plain,
% 48.03/31.11 (![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))),
% 48.03/31.11 inference(modus_ponens,[status(thm)],[176, 172])).
% 48.03/31.11 tff(178,plain,
% 48.03/31.11 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB1) | (~v117(constB1)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB1) | (~v117(constB1)))),
% 48.03/31.11 inference(rewrite,[status(thm)],[])).
% 48.03/31.11 tff(179,plain,
% 48.03/31.11 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB1) | (~v117(constB1)))),
% 48.03/31.11 inference(quant_inst,[status(thm)],[])).
% 48.03/31.11 tff(180,plain,
% 48.03/31.11 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB1) | (~v117(constB1))),
% 48.03/31.11 inference(modus_ponens,[status(thm)],[179, 178])).
% 48.03/31.11 tff(181,plain,
% 48.03/31.11 (v116(constB1)),
% 48.03/31.11 inference(unit_resolution,[status(thm)],[180, 177, 170])).
% 48.03/31.11 tff(182,plain,
% 48.03/31.11 (^[VarCurr: $i] : refl((v115(VarCurr) | (~v116(VarCurr))) <=> (v115(VarCurr) | (~v116(VarCurr))))),
% 48.03/31.11 inference(bind,[status(th)],[])).
% 48.03/31.11 tff(183,plain,
% 48.03/31.11 (![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr))) <=> ![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))),
% 48.03/31.11 inference(quant_intro,[status(thm)],[182])).
% 48.03/31.11 tff(184,plain,
% 48.03/31.11 (![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr))) <=> ![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))),
% 48.03/31.11 inference(rewrite,[status(thm)],[])).
% 48.03/31.11 tff(185,axiom,(![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_22_1_2')).
% 48.03/31.11 tff(186,plain,
% 48.03/31.11 (![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))),
% 48.03/31.11 inference(modus_ponens,[status(thm)],[185, 184])).
% 48.03/31.11 tff(187,plain,(
% 48.03/31.11 ![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))),
% 48.03/31.11 inference(skolemize,[status(sab)],[186])).
% 48.03/31.11 tff(188,plain,
% 48.03/31.11 (![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))),
% 48.03/31.11 inference(modus_ponens,[status(thm)],[187, 183])).
% 48.03/31.11 tff(189,plain,
% 48.03/31.11 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB1) | (~v116(constB1)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB1) | (~v116(constB1)))),
% 48.03/31.11 inference(rewrite,[status(thm)],[])).
% 48.03/31.11 tff(190,plain,
% 48.03/31.11 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB1) | (~v116(constB1)))),
% 48.03/31.11 inference(quant_inst,[status(thm)],[])).
% 48.03/31.11 tff(191,plain,
% 48.03/31.11 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB1) | (~v116(constB1))),
% 48.03/31.11 inference(modus_ponens,[status(thm)],[190, 189])).
% 48.03/31.11 tff(192,plain,
% 48.03/31.11 (v115(constB1)),
% 48.03/31.11 inference(unit_resolution,[status(thm)],[191, 188, 181])).
% 48.03/31.11 tff(193,plain,
% 48.03/31.11 (^[VarCurr: $i] : refl((v114(VarCurr) | (~v115(VarCurr))) <=> (v114(VarCurr) | (~v115(VarCurr))))),
% 48.03/31.11 inference(bind,[status(th)],[])).
% 48.03/31.11 tff(194,plain,
% 48.03/31.11 (![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr))) <=> ![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))),
% 48.03/31.11 inference(quant_intro,[status(thm)],[193])).
% 48.03/31.11 tff(195,plain,
% 48.03/31.11 (![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr))) <=> ![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))),
% 48.03/31.11 inference(rewrite,[status(thm)],[])).
% 48.03/31.11 tff(196,axiom,(![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_23_1_2')).
% 48.03/31.11 tff(197,plain,
% 48.03/31.11 (![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))),
% 48.03/31.11 inference(modus_ponens,[status(thm)],[196, 195])).
% 48.03/31.11 tff(198,plain,(
% 48.03/31.11 ![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))),
% 48.03/31.11 inference(skolemize,[status(sab)],[197])).
% 48.03/31.11 tff(199,plain,
% 48.03/31.11 (![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))),
% 48.03/31.11 inference(modus_ponens,[status(thm)],[198, 194])).
% 48.03/31.11 tff(200,plain,
% 48.03/31.11 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB1) | (~v115(constB1)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB1) | (~v115(constB1)))),
% 48.03/31.11 inference(rewrite,[status(thm)],[])).
% 48.03/31.11 tff(201,plain,
% 48.03/31.11 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB1) | (~v115(constB1)))),
% 48.03/31.11 inference(quant_inst,[status(thm)],[])).
% 48.03/31.11 tff(202,plain,
% 48.03/31.11 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB1) | (~v115(constB1))),
% 48.03/31.11 inference(modus_ponens,[status(thm)],[201, 200])).
% 48.03/31.11 tff(203,plain,
% 48.03/31.11 (v114(constB1)),
% 48.03/31.11 inference(unit_resolution,[status(thm)],[202, 199, 192])).
% 48.03/31.11 tff(204,plain,
% 48.03/31.11 (^[VarCurr: $i] : refl((v113(VarCurr) | (~v114(VarCurr))) <=> (v113(VarCurr) | (~v114(VarCurr))))),
% 48.03/31.11 inference(bind,[status(th)],[])).
% 48.03/31.11 tff(205,plain,
% 48.03/31.11 (![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr))) <=> ![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))),
% 48.03/31.11 inference(quant_intro,[status(thm)],[204])).
% 48.03/31.11 tff(206,plain,
% 48.03/31.11 (![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr))) <=> ![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))),
% 48.03/31.11 inference(rewrite,[status(thm)],[])).
% 48.03/31.11 tff(207,axiom,(![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_24_1_2')).
% 48.03/31.11 tff(208,plain,
% 48.03/31.11 (![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))),
% 48.03/31.11 inference(modus_ponens,[status(thm)],[207, 206])).
% 48.03/31.11 tff(209,plain,(
% 48.03/31.11 ![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))),
% 48.03/31.11 inference(skolemize,[status(sab)],[208])).
% 48.03/31.11 tff(210,plain,
% 48.03/31.11 (![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))),
% 48.03/31.11 inference(modus_ponens,[status(thm)],[209, 205])).
% 48.03/31.11 tff(211,plain,
% 48.03/31.11 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB1) | (~v114(constB1)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB1) | (~v114(constB1)))),
% 48.03/31.11 inference(rewrite,[status(thm)],[])).
% 48.03/31.11 tff(212,plain,
% 48.03/31.11 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB1) | (~v114(constB1)))),
% 48.03/31.11 inference(quant_inst,[status(thm)],[])).
% 48.03/31.11 tff(213,plain,
% 48.03/31.11 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB1) | (~v114(constB1))),
% 48.03/31.11 inference(modus_ponens,[status(thm)],[212, 211])).
% 48.03/31.11 tff(214,plain,
% 48.03/31.11 (v113(constB1)),
% 48.03/31.11 inference(unit_resolution,[status(thm)],[213, 210, 203])).
% 48.03/31.11 tff(215,plain,
% 48.03/31.11 (^[VarCurr: $i] : refl((v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)) <=> (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)))),
% 48.03/31.11 inference(bind,[status(th)],[])).
% 48.03/31.11 tff(216,plain,
% 48.03/31.11 (![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 48.03/31.11 inference(quant_intro,[status(thm)],[215])).
% 48.03/31.11 tff(217,plain,
% 48.03/31.11 (![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 48.03/31.11 inference(rewrite,[status(thm)],[])).
% 48.03/31.11 tff(218,plain,
% 48.03/31.11 (^[VarCurr: $i] : rewrite(((v112(VarCurr) | (~v113(VarCurr))) | v26(VarCurr)) <=> (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)))),
% 48.03/31.11 inference(bind,[status(th)],[])).
% 48.03/31.11 tff(219,plain,
% 48.03/31.11 (![VarCurr: $i] : ((v112(VarCurr) | (~v113(VarCurr))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 48.03/31.11 inference(quant_intro,[status(thm)],[218])).
% 48.03/31.11 tff(220,axiom,(![VarCurr: $i] : ((v112(VarCurr) | (~v113(VarCurr))) | v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_25_1_1_1')).
% 48.03/31.11 tff(221,plain,
% 48.03/31.11 (![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 48.03/31.11 inference(modus_ponens,[status(thm)],[220, 219])).
% 48.03/31.11 tff(222,plain,
% 48.03/31.11 (![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 48.03/31.11 inference(modus_ponens,[status(thm)],[221, 217])).
% 48.03/31.11 tff(223,plain,(
% 48.03/31.11 ![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 48.03/31.11 inference(skolemize,[status(sab)],[222])).
% 48.03/31.11 tff(224,plain,
% 48.03/31.11 (![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 48.03/31.11 inference(modus_ponens,[status(thm)],[223, 216])).
% 48.03/31.11 tff(225,plain,
% 48.03/31.11 (((~![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))),
% 48.03/31.11 inference(rewrite,[status(thm)],[])).
% 48.03/31.11 tff(226,plain,
% 48.03/31.11 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB1) | (~v113(constB1)) | v112(constB1))),
% 48.03/31.11 inference(quant_inst,[status(thm)],[])).
% 48.03/31.11 tff(227,plain,
% 48.03/31.11 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB1) | (~v113(constB1)) | v112(constB1)),
% 48.03/31.11 inference(modus_ponens,[status(thm)],[226, 225])).
% 48.03/31.11 tff(228,plain,
% 48.03/31.11 (v26(constB1) | v112(constB1)),
% 48.03/31.11 inference(unit_resolution,[status(thm)],[227, 224, 214])).
% 48.03/31.11 tff(229,plain,
% 48.03/31.11 (v112(constB1)),
% 48.03/31.11 inference(unit_resolution,[status(thm)],[228, 33])).
% 48.03/31.11 tff(230,plain,
% 48.03/31.11 (^[VarCurr: $i] : refl((v108(VarCurr) | (~v112(VarCurr))) <=> (v108(VarCurr) | (~v112(VarCurr))))),
% 48.03/31.11 inference(bind,[status(th)],[])).
% 48.03/31.11 tff(231,plain,
% 48.03/31.11 (![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))),
% 48.03/31.11 inference(quant_intro,[status(thm)],[230])).
% 48.03/31.11 tff(232,plain,
% 48.03/31.11 (![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))),
% 48.03/31.11 inference(rewrite,[status(thm)],[])).
% 48.03/31.11 tff(233,axiom,(![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_26_1_1_1')).
% 48.03/31.11 tff(234,plain,
% 48.03/31.11 (![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))),
% 48.03/31.11 inference(modus_ponens,[status(thm)],[233, 232])).
% 48.03/31.11 tff(235,plain,(
% 48.03/31.11 ![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))),
% 48.03/31.11 inference(skolemize,[status(sab)],[234])).
% 48.03/31.11 tff(236,plain,
% 48.03/31.11 (![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))),
% 48.03/31.11 inference(modus_ponens,[status(thm)],[235, 231])).
% 48.03/31.11 tff(237,plain,
% 48.03/31.11 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB1) | (~v112(constB1)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB1) | (~v112(constB1)))),
% 48.03/31.11 inference(rewrite,[status(thm)],[])).
% 48.03/31.11 tff(238,plain,
% 48.03/31.11 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB1) | (~v112(constB1)))),
% 48.03/31.11 inference(quant_inst,[status(thm)],[])).
% 48.03/31.11 tff(239,plain,
% 48.03/31.11 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB1) | (~v112(constB1))),
% 48.03/31.11 inference(modus_ponens,[status(thm)],[238, 237])).
% 48.03/31.11 tff(240,plain,
% 48.03/31.11 (v108(constB1)),
% 48.03/31.11 inference(unit_resolution,[status(thm)],[239, 236, 229])).
% 48.03/31.11 tff(241,plain,
% 48.03/31.11 (nextState(constB1, constB2) <=> nextState(constB1, constB2)),
% 48.03/31.11 inference(rewrite,[status(thm)],[])).
% 48.03/31.11 tff(242,axiom,(nextState(constB1, constB2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_1_1')).
% 48.03/31.11 tff(243,plain,
% 48.03/31.11 (nextState(constB1, constB2)),
% 48.03/31.11 inference(modus_ponens,[status(thm)],[242, 241])).
% 48.03/31.11 tff(244,plain,
% 48.03/31.11 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)))),
% 48.03/31.11 inference(bind,[status(th)],[])).
% 48.03/31.11 tff(245,plain,
% 48.03/31.11 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 48.03/31.11 inference(quant_intro,[status(thm)],[244])).
% 48.03/31.11 tff(246,plain,
% 48.03/31.11 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 48.03/31.12 inference(rewrite,[status(thm)],[])).
% 48.03/31.12 tff(247,plain,
% 48.03/31.12 (^[VarNext: $i, VarCurr: $i] : rewrite(((v110(VarNext) | (~v108(VarCurr))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)))),
% 48.03/31.12 inference(bind,[status(th)],[])).
% 48.03/31.12 tff(248,plain,
% 48.03/31.12 (![VarNext: $i, VarCurr: $i] : ((v110(VarNext) | (~v108(VarCurr))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 48.03/31.12 inference(quant_intro,[status(thm)],[247])).
% 48.03/31.12 tff(249,axiom,(![VarNext: $i, VarCurr: $i] : ((v110(VarNext) | (~v108(VarCurr))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_6_1_1')).
% 48.03/31.12 tff(250,plain,
% 48.03/31.12 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 48.03/31.12 inference(modus_ponens,[status(thm)],[249, 248])).
% 48.03/31.12 tff(251,plain,
% 48.03/31.12 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 48.03/31.12 inference(modus_ponens,[status(thm)],[250, 246])).
% 48.03/31.12 tff(252,plain,(
% 48.03/31.12 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 48.03/31.12 inference(skolemize,[status(sab)],[251])).
% 48.03/31.12 tff(253,plain,
% 48.03/31.12 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 48.03/31.12 inference(modus_ponens,[status(thm)],[252, 245])).
% 48.03/31.12 tff(254,plain,
% 48.03/31.12 (((~![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)))),
% 48.03/31.12 inference(rewrite,[status(thm)],[])).
% 48.03/31.12 tff(255,plain,
% 48.03/31.12 (((~nextState(constB1, constB2)) | (~v108(constB1)) | v110(constB2)) <=> ((~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1)))),
% 48.03/31.12 inference(rewrite,[status(thm)],[])).
% 48.03/31.12 tff(256,plain,
% 48.03/31.12 (((~![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))))),
% 48.03/31.12 inference(monotonicity,[status(thm)],[255])).
% 48.03/31.12 tff(257,plain,
% 48.03/31.12 (((~![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)))),
% 48.03/31.12 inference(transitivity,[status(thm)],[256, 254])).
% 48.03/31.12 tff(258,plain,
% 48.03/31.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB1, constB2)) | (~v108(constB1)) | v110(constB2))),
% 48.03/31.12 inference(quant_inst,[status(thm)],[])).
% 48.03/31.12 tff(259,plain,
% 48.03/31.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1))),
% 48.03/31.12 inference(modus_ponens,[status(thm)],[258, 257])).
% 48.03/31.12 tff(260,plain,
% 48.03/31.12 (v110(constB2) | (~v108(constB1))),
% 48.03/31.12 inference(unit_resolution,[status(thm)],[259, 253, 243])).
% 48.03/31.12 tff(261,plain,
% 48.03/31.12 (v110(constB2)),
% 48.03/31.12 inference(unit_resolution,[status(thm)],[260, 240])).
% 48.03/31.12 tff(262,plain,
% 48.03/31.12 (^[VarNext: $i, VarCurr: $i] : refl((v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))) <=> (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))))),
% 48.03/31.12 inference(bind,[status(th)],[])).
% 48.03/31.12 tff(263,plain,
% 48.03/31.12 (![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 48.03/31.12 inference(quant_intro,[status(thm)],[262])).
% 48.03/31.12 tff(264,plain,
% 48.03/31.12 (![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 48.03/31.12 inference(rewrite,[status(thm)],[])).
% 48.03/31.12 tff(265,plain,
% 48.03/31.12 (^[VarNext: $i, VarCurr: $i] : rewrite(((v1(VarCurr) | (~v104(VarNext))) | (~nextState(VarCurr, VarNext))) <=> (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))))),
% 48.03/31.12 inference(bind,[status(th)],[])).
% 48.03/31.12 tff(266,plain,
% 48.03/31.12 (![VarNext: $i, VarCurr: $i] : ((v1(VarCurr) | (~v104(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 48.03/31.12 inference(quant_intro,[status(thm)],[265])).
% 48.03/31.12 tff(267,axiom,(![VarNext: $i, VarCurr: $i] : ((v1(VarCurr) | (~v104(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_5_1_2')).
% 48.03/31.12 tff(268,plain,
% 48.03/31.12 (![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 48.03/31.12 inference(modus_ponens,[status(thm)],[267, 266])).
% 48.03/31.12 tff(269,plain,
% 48.03/31.12 (![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 48.03/31.12 inference(modus_ponens,[status(thm)],[268, 264])).
% 48.03/31.12 tff(270,plain,(
% 48.03/31.12 ![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 48.03/31.12 inference(skolemize,[status(sab)],[269])).
% 48.03/31.12 tff(271,plain,
% 48.03/31.12 (![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 48.03/31.12 inference(modus_ponens,[status(thm)],[270, 263])).
% 48.03/31.12 tff(272,plain,
% 48.03/31.12 (((~![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)))),
% 48.03/31.12 inference(rewrite,[status(thm)],[])).
% 48.03/31.12 tff(273,plain,
% 48.03/31.12 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB1) | (~nextState(constB1, constB2)) | (~v104(constB2)))),
% 48.03/31.12 inference(quant_inst,[status(thm)],[])).
% 48.03/31.12 tff(274,plain,
% 48.03/31.12 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB1) | (~nextState(constB1, constB2)) | (~v104(constB2))),
% 48.03/31.12 inference(modus_ponens,[status(thm)],[273, 272])).
% 48.03/31.12 tff(275,plain,
% 48.03/31.12 (~v104(constB2)),
% 48.03/31.12 inference(unit_resolution,[status(thm)],[274, 271, 243, 36])).
% 48.03/31.12 tff(276,plain,
% 48.03/31.12 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext)))),
% 48.03/31.12 inference(bind,[status(th)],[])).
% 48.03/31.12 tff(277,plain,
% 48.03/31.12 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 48.03/31.12 inference(quant_intro,[status(thm)],[276])).
% 48.03/31.12 tff(278,plain,
% 48.03/31.12 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 48.03/31.12 inference(rewrite,[status(thm)],[])).
% 48.03/31.12 tff(279,plain,
% 48.03/31.12 (^[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))))),
% 48.03/31.12 inference(bind,[status(th)],[])).
% 48.03/31.12 tff(280,plain,
% 48.03/31.12 (![VarNext: $i, VarCurr: $i] : ((v104(VarNext) | v102(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 48.03/31.12 inference(quant_intro,[status(thm)],[279])).
% 48.03/31.12 tff(281,axiom,(![VarNext: $i, VarCurr: $i] : ((v104(VarNext) | v102(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_12_1_2')).
% 48.03/31.12 tff(282,plain,
% 48.03/31.12 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 48.03/31.12 inference(modus_ponens,[status(thm)],[281, 280])).
% 48.03/31.12 tff(283,plain,
% 48.03/31.12 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 48.03/31.12 inference(modus_ponens,[status(thm)],[282, 278])).
% 48.03/31.12 tff(284,plain,(
% 48.03/31.12 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 48.03/31.12 inference(skolemize,[status(sab)],[283])).
% 48.03/31.12 tff(285,plain,
% 48.03/31.12 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 48.03/31.12 inference(modus_ponens,[status(thm)],[284, 277])).
% 48.03/31.12 tff(286,plain,
% 48.03/31.12 (((~![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))),
% 48.03/31.12 inference(rewrite,[status(thm)],[])).
% 48.03/31.12 tff(287,plain,
% 48.03/31.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB1, constB2)) | v102(constB2) | v104(constB2))),
% 48.03/31.12 inference(quant_inst,[status(thm)],[])).
% 48.03/31.12 tff(288,plain,
% 48.03/31.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB1, constB2)) | v102(constB2) | v104(constB2)),
% 48.03/31.12 inference(modus_ponens,[status(thm)],[287, 286])).
% 48.03/31.12 tff(289,plain,
% 48.03/31.12 (v102(constB2) | v104(constB2)),
% 48.03/31.12 inference(unit_resolution,[status(thm)],[288, 285, 243])).
% 48.03/31.12 tff(290,plain,
% 48.03/31.12 (v102(constB2)),
% 48.03/31.12 inference(unit_resolution,[status(thm)],[289, 275])).
% 48.03/31.12 tff(291,plain,
% 48.03/31.12 (v1(constB2) <=> v1(constB2)),
% 48.03/31.12 inference(rewrite,[status(thm)],[])).
% 48.03/31.12 tff(292,axiom,(v1(constB2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_2_1')).
% 48.03/31.12 tff(293,plain,
% 48.03/31.12 (v1(constB2)),
% 48.03/31.12 inference(modus_ponens,[status(thm)],[292, 291])).
% 48.03/31.12 tff(294,plain,
% 48.03/31.12 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext))))),
% 48.03/31.12 inference(bind,[status(th)],[])).
% 48.03/31.12 tff(295,plain,
% 48.03/31.12 (![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)))),
% 48.03/31.12 inference(quant_intro,[status(thm)],[294])).
% 48.03/31.12 tff(296,plain,
% 48.03/31.12 (![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)))),
% 48.03/31.12 inference(rewrite,[status(thm)],[])).
% 48.03/31.12 tff(297,plain,
% 48.03/31.12 (^[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)))))),
% 48.03/31.12 inference(bind,[status(th)],[])).
% 48.03/31.12 tff(298,plain,
% 48.03/31.12 (![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)))),
% 48.03/31.12 inference(quant_intro,[status(thm)],[297])).
% 48.03/31.12 tff(299,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')).
% 48.03/31.12 tff(300,plain,
% 48.03/31.12 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 48.03/31.12 inference(modus_ponens,[status(thm)],[299, 298])).
% 48.03/31.12 tff(301,plain,
% 48.03/31.12 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 48.03/31.12 inference(modus_ponens,[status(thm)],[300, 296])).
% 48.03/31.12 tff(302,plain,(
% 48.03/31.12 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 48.03/31.12 inference(skolemize,[status(sab)],[301])).
% 48.03/31.12 tff(303,plain,
% 48.03/31.12 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 48.03/31.12 inference(modus_ponens,[status(thm)],[302, 295])).
% 48.03/31.12 tff(304,plain,
% 48.03/31.12 (((~![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)))),
% 48.03/31.12 inference(rewrite,[status(thm)],[])).
% 48.03/31.12 tff(305,plain,
% 48.03/31.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB1, constB2)) | v101(constB2) | (~v102(constB2)) | (~v1(constB2)))),
% 48.03/31.12 inference(quant_inst,[status(thm)],[])).
% 48.03/31.12 tff(306,plain,
% 48.03/31.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB1, constB2)) | v101(constB2) | (~v102(constB2)) | (~v1(constB2))),
% 48.03/31.12 inference(modus_ponens,[status(thm)],[305, 304])).
% 48.03/31.12 tff(307,plain,
% 48.03/31.12 (v101(constB2) | (~v102(constB2))),
% 48.03/31.12 inference(unit_resolution,[status(thm)],[306, 303, 243, 293])).
% 48.03/31.12 tff(308,plain,
% 48.03/31.12 (v101(constB2)),
% 48.03/31.12 inference(unit_resolution,[status(thm)],[307, 290])).
% 48.03/31.12 tff(309,plain,
% 48.03/31.12 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext)))),
% 48.03/31.12 inference(bind,[status(th)],[])).
% 48.03/31.12 tff(310,plain,
% 48.03/31.12 (![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))),
% 48.03/31.12 inference(quant_intro,[status(thm)],[309])).
% 48.03/31.12 tff(311,plain,
% 48.03/31.12 (![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))),
% 48.03/31.12 inference(rewrite,[status(thm)],[])).
% 48.03/31.12 tff(312,plain,
% 48.03/31.12 (^[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))))),
% 48.03/31.12 inference(bind,[status(th)],[])).
% 48.03/31.12 tff(313,plain,
% 48.03/31.12 (![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))),
% 48.03/31.12 inference(quant_intro,[status(thm)],[312])).
% 48.03/31.12 tff(314,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')).
% 48.03/31.12 tff(315,plain,
% 48.03/31.12 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 48.03/31.12 inference(modus_ponens,[status(thm)],[314, 313])).
% 48.03/31.12 tff(316,plain,
% 48.03/31.12 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 48.03/31.12 inference(modus_ponens,[status(thm)],[315, 311])).
% 48.03/31.12 tff(317,plain,(
% 48.03/31.12 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 48.03/31.12 inference(skolemize,[status(sab)],[316])).
% 48.03/31.12 tff(318,plain,
% 48.03/31.12 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 48.03/31.12 inference(modus_ponens,[status(thm)],[317, 310])).
% 48.03/31.12 tff(319,plain,
% 48.03/31.12 (((~![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)))),
% 48.03/31.12 inference(rewrite,[status(thm)],[])).
% 48.03/31.12 tff(320,plain,
% 48.03/31.12 (((~nextState(constB1, constB2)) | (~v101(constB2)) | (~v110(constB2)) | v100(constB2)) <=> ((~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2)))),
% 48.03/31.12 inference(rewrite,[status(thm)],[])).
% 48.03/31.12 tff(321,plain,
% 48.03/31.12 (((~![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))))),
% 48.03/31.12 inference(monotonicity,[status(thm)],[320])).
% 48.03/31.12 tff(322,plain,
% 48.03/31.12 (((~![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)))),
% 48.03/31.12 inference(transitivity,[status(thm)],[321, 319])).
% 48.03/31.12 tff(323,plain,
% 48.03/31.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB1, constB2)) | (~v101(constB2)) | (~v110(constB2)) | v100(constB2))),
% 48.03/31.12 inference(quant_inst,[status(thm)],[])).
% 48.03/31.12 tff(324,plain,
% 48.03/31.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2))),
% 48.03/31.12 inference(modus_ponens,[status(thm)],[323, 322])).
% 48.03/31.12 tff(325,plain,
% 48.03/31.12 (v100(constB2) | (~v101(constB2)) | (~v110(constB2))),
% 48.03/31.12 inference(unit_resolution,[status(thm)],[324, 318, 243])).
% 48.03/31.12 tff(326,plain,
% 48.03/31.12 (v100(constB2) | (~v110(constB2))),
% 48.03/31.12 inference(unit_resolution,[status(thm)],[325, 308])).
% 48.03/31.12 tff(327,plain,
% 48.03/31.12 (v100(constB2)),
% 48.03/31.12 inference(unit_resolution,[status(thm)],[326, 261])).
% 48.03/31.12 tff(328,plain,
% 48.03/31.12 (^[VarCurr: $i] : refl(((~v119(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ((~v119(VarCurr)) | v130(VarCurr, bitIndex2)))),
% 48.03/31.12 inference(bind,[status(th)],[])).
% 48.03/31.12 tff(329,plain,
% 48.03/31.12 (![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))),
% 48.03/31.12 inference(quant_intro,[status(thm)],[328])).
% 48.03/31.12 tff(330,plain,
% 48.03/31.12 (![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))),
% 48.03/31.12 inference(rewrite,[status(thm)],[])).
% 48.03/31.12 tff(331,plain,
% 48.03/31.12 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex2) | (~v119(VarCurr))) <=> ((~v119(VarCurr)) | v130(VarCurr, bitIndex2)))),
% 48.03/31.12 inference(bind,[status(th)],[])).
% 48.03/31.12 tff(332,plain,
% 48.03/31.12 (![VarCurr: $i] : (v130(VarCurr, bitIndex2) | (~v119(VarCurr))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))),
% 48.03/31.12 inference(quant_intro,[status(thm)],[331])).
% 48.03/31.12 tff(333,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex2) | (~v119(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_6_3')).
% 48.03/31.12 tff(334,plain,
% 48.03/31.12 (![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))),
% 48.03/31.12 inference(modus_ponens,[status(thm)],[333, 332])).
% 48.03/31.12 tff(335,plain,
% 48.03/31.12 (![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))),
% 48.03/31.12 inference(modus_ponens,[status(thm)],[334, 330])).
% 48.03/31.12 tff(336,plain,(
% 48.03/31.12 ![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))),
% 48.03/31.12 inference(skolemize,[status(sab)],[335])).
% 48.03/31.12 tff(337,plain,
% 48.03/31.12 (![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))),
% 48.03/31.12 inference(modus_ponens,[status(thm)],[336, 329])).
% 48.03/31.12 tff(338,plain,
% 48.03/31.12 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB1)) | v130(constB1, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB1)) | v130(constB1, bitIndex2))),
% 48.03/31.12 inference(rewrite,[status(thm)],[])).
% 48.03/31.12 tff(339,plain,
% 48.03/31.12 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB1)) | v130(constB1, bitIndex2))),
% 48.03/31.12 inference(quant_inst,[status(thm)],[])).
% 48.03/31.12 tff(340,plain,
% 48.03/31.12 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB1)) | v130(constB1, bitIndex2)),
% 48.03/31.12 inference(modus_ponens,[status(thm)],[339, 338])).
% 48.03/31.12 tff(341,plain,
% 48.03/31.12 (v130(constB1, bitIndex2)),
% 48.03/31.12 inference(unit_resolution,[status(thm)],[340, 337, 148])).
% 48.03/31.12 tff(342,plain,
% 48.03/31.12 (^[VarCurr: $i] : refl((v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2)))),
% 48.03/31.12 inference(bind,[status(th)],[])).
% 48.03/31.12 tff(343,plain,
% 48.03/31.12 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 48.03/31.12 inference(quant_intro,[status(thm)],[342])).
% 48.03/31.12 tff(344,plain,
% 48.03/31.12 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 48.03/31.12 inference(rewrite,[status(thm)],[])).
% 48.03/31.12 tff(345,plain,
% 48.03/31.12 (^[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))))),
% 48.03/31.12 inference(bind,[status(th)],[])).
% 48.03/31.12 tff(346,plain,
% 48.03/31.12 (![VarCurr: $i] : ((v127(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex2))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 48.03/31.12 inference(quant_intro,[status(thm)],[345])).
% 48.03/31.12 tff(347,axiom,(![VarCurr: $i] : ((v127(VarCurr, bitIndex2) | (~v130(VarCurr, bitIndex2))) | v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_5')).
% 48.03/31.12 tff(348,plain,
% 48.03/31.12 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 48.03/31.12 inference(modus_ponens,[status(thm)],[347, 346])).
% 48.03/31.12 tff(349,plain,
% 48.03/31.12 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 48.03/31.12 inference(modus_ponens,[status(thm)],[348, 344])).
% 48.03/31.12 tff(350,plain,(
% 48.03/31.12 ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 48.03/31.12 inference(skolemize,[status(sab)],[349])).
% 48.03/31.12 tff(351,plain,
% 48.03/31.12 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))),
% 48.03/31.12 inference(modus_ponens,[status(thm)],[350, 343])).
% 48.03/31.12 tff(352,plain,
% 48.03/31.12 (((~![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))) | v26(constB1) | (~v130(constB1, bitIndex2)) | v127(constB1, bitIndex2))),
% 48.03/31.12 inference(rewrite,[status(thm)],[])).
% 48.03/31.12 tff(353,plain,
% 48.03/31.12 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB1) | (~v130(constB1, bitIndex2)) | v127(constB1, bitIndex2))),
% 48.03/31.12 inference(quant_inst,[status(thm)],[])).
% 48.03/31.12 tff(354,plain,
% 48.03/31.12 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB1) | (~v130(constB1, bitIndex2)) | v127(constB1, bitIndex2)),
% 48.03/31.12 inference(modus_ponens,[status(thm)],[353, 352])).
% 48.03/31.12 tff(355,plain,
% 48.03/31.12 (v26(constB1) | v127(constB1, bitIndex2)),
% 48.03/31.12 inference(unit_resolution,[status(thm)],[354, 351, 341])).
% 48.03/31.12 tff(356,plain,
% 48.03/31.12 (v127(constB1, bitIndex2)),
% 48.03/31.12 inference(unit_resolution,[status(thm)],[355, 33])).
% 48.03/31.12 tff(357,plain,
% 48.03/31.12 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2)))),
% 48.03/31.12 inference(bind,[status(th)],[])).
% 48.03/31.12 tff(358,plain,
% 48.03/31.12 (![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))),
% 48.03/31.12 inference(quant_intro,[status(thm)],[357])).
% 48.03/31.12 tff(359,plain,
% 48.03/31.12 (![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))),
% 48.03/31.12 inference(rewrite,[status(thm)],[])).
% 48.03/31.12 tff(360,plain,
% 48.03/31.12 (^[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))))),
% 48.03/31.12 inference(bind,[status(th)],[])).
% 48.03/31.12 tff(361,plain,
% 48.03/31.12 (![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))),
% 48.03/31.12 inference(quant_intro,[status(thm)],[360])).
% 48.03/31.12 tff(362,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')).
% 48.03/31.12 tff(363,plain,
% 48.03/31.12 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 48.03/31.12 inference(modus_ponens,[status(thm)],[362, 361])).
% 48.03/31.12 tff(364,plain,
% 48.03/31.12 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 48.03/31.12 inference(modus_ponens,[status(thm)],[363, 359])).
% 48.03/31.12 tff(365,plain,(
% 48.03/31.12 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 48.03/31.12 inference(skolemize,[status(sab)],[364])).
% 48.03/31.12 tff(366,plain,
% 48.03/31.12 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))),
% 48.03/31.12 inference(modus_ponens,[status(thm)],[365, 358])).
% 48.03/31.12 tff(367,plain,
% 48.03/31.12 (((~![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))),
% 48.03/31.12 inference(rewrite,[status(thm)],[])).
% 48.03/31.12 tff(368,plain,
% 48.03/31.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB1, constB2)) | (~v127(constB1, bitIndex2)) | v129(constB2, bitIndex2))),
% 48.03/31.12 inference(quant_inst,[status(thm)],[])).
% 48.03/31.12 tff(369,plain,
% 48.03/31.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB1, constB2)) | (~v127(constB1, bitIndex2)) | v129(constB2, bitIndex2)),
% 48.03/31.12 inference(modus_ponens,[status(thm)],[368, 367])).
% 48.03/31.12 tff(370,plain,
% 48.03/31.12 ((~v127(constB1, bitIndex2)) | v129(constB2, bitIndex2)),
% 48.03/31.12 inference(unit_resolution,[status(thm)],[369, 366, 243])).
% 48.03/31.12 tff(371,plain,
% 48.03/31.12 (v129(constB2, bitIndex2)),
% 48.03/31.12 inference(unit_resolution,[status(thm)],[370, 356])).
% 48.03/31.12 tff(372,plain,
% 48.03/31.12 (^[VarNext: $i] : refl((v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2))) <=> (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2))))),
% 48.03/31.12 inference(bind,[status(th)],[])).
% 48.03/31.12 tff(373,plain,
% 48.03/31.12 (![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 48.03/31.12 inference(quant_intro,[status(thm)],[372])).
% 48.03/31.12 tff(374,plain,
% 48.03/31.12 (![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 48.03/31.12 inference(rewrite,[status(thm)],[])).
% 48.03/31.12 tff(375,plain,
% 48.03/31.12 (^[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)))))),
% 48.03/31.12 inference(bind,[status(th)],[])).
% 48.03/31.12 tff(376,plain,
% 48.03/31.12 (![VarNext: $i] : ((v90(VarNext, bitIndex2) | (~v129(VarNext, bitIndex2))) | (~v100(VarNext))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 48.03/31.12 inference(quant_intro,[status(thm)],[375])).
% 48.03/31.12 tff(377,axiom,(![VarNext: $i] : ((v90(VarNext, bitIndex2) | (~v129(VarNext, bitIndex2))) | (~v100(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_5')).
% 48.03/31.12 tff(378,plain,
% 48.03/31.12 (![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 48.03/31.12 inference(modus_ponens,[status(thm)],[377, 376])).
% 48.03/31.12 tff(379,plain,
% 48.03/31.12 (![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 48.03/31.12 inference(modus_ponens,[status(thm)],[378, 374])).
% 48.03/31.12 tff(380,plain,(
% 48.03/31.12 ![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 48.03/31.12 inference(skolemize,[status(sab)],[379])).
% 48.03/31.12 tff(381,plain,
% 48.03/31.12 (![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))),
% 48.03/31.12 inference(modus_ponens,[status(thm)],[380, 373])).
% 48.03/31.12 tff(382,plain,
% 48.03/31.12 (((~![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)))),
% 48.03/31.12 inference(rewrite,[status(thm)],[])).
% 48.03/31.12 tff(383,plain,
% 48.03/31.12 ((v90(constB2, bitIndex2) | (~v100(constB2)) | (~v129(constB2, bitIndex2))) <=> (v90(constB2, bitIndex2) | (~v129(constB2, bitIndex2)) | (~v100(constB2)))),
% 48.03/31.12 inference(rewrite,[status(thm)],[])).
% 48.03/31.12 tff(384,plain,
% 48.03/31.12 (((~![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))))),
% 48.03/31.12 inference(monotonicity,[status(thm)],[383])).
% 48.03/31.12 tff(385,plain,
% 48.03/31.12 (((~![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)))),
% 48.03/31.12 inference(transitivity,[status(thm)],[384, 382])).
% 48.03/31.12 tff(386,plain,
% 48.03/31.12 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB2, bitIndex2) | (~v100(constB2)) | (~v129(constB2, bitIndex2)))),
% 48.03/31.12 inference(quant_inst,[status(thm)],[])).
% 48.03/31.12 tff(387,plain,
% 48.03/31.12 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB2, bitIndex2) | (~v129(constB2, bitIndex2)) | (~v100(constB2))),
% 48.03/31.12 inference(modus_ponens,[status(thm)],[386, 385])).
% 48.03/31.12 tff(388,plain,
% 48.03/31.12 (v90(constB2, bitIndex2) | (~v100(constB2))),
% 48.03/31.12 inference(unit_resolution,[status(thm)],[387, 381, 371])).
% 48.03/31.12 tff(389,plain,
% 48.03/31.12 (v90(constB2, bitIndex2)),
% 48.03/31.12 inference(unit_resolution,[status(thm)],[388, 327])).
% 48.03/31.12 tff(390,plain,
% 48.03/31.12 ((~v1(constB3)) <=> (~v1(constB3))),
% 48.03/31.12 inference(rewrite,[status(thm)],[])).
% 48.03/31.12 tff(391,axiom,(~v1(constB3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_3_1_1')).
% 48.03/31.12 tff(392,plain,
% 48.03/31.12 (~v1(constB3)),
% 48.03/31.12 inference(modus_ponens,[status(thm)],[391, 390])).
% 48.03/31.12 tff(393,plain,
% 48.03/31.12 (nextState(constB2, constB3) <=> nextState(constB2, constB3)),
% 48.03/31.12 inference(rewrite,[status(thm)],[])).
% 48.03/31.12 tff(394,axiom,(nextState(constB2, constB3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_2_1')).
% 48.03/31.12 tff(395,plain,
% 48.03/31.12 (nextState(constB2, constB3)),
% 48.03/31.12 inference(modus_ponens,[status(thm)],[394, 393])).
% 48.03/31.12 tff(396,plain,
% 48.03/31.12 (((~![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)))),
% 48.03/31.12 inference(rewrite,[status(thm)],[])).
% 48.03/31.12 tff(397,plain,
% 48.03/31.12 (((~nextState(constB2, constB3)) | (~v101(constB3)) | v1(constB3)) <=> (v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3)))),
% 48.03/31.12 inference(rewrite,[status(thm)],[])).
% 48.03/31.12 tff(398,plain,
% 48.03/31.12 (((~![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))))),
% 48.03/31.12 inference(monotonicity,[status(thm)],[397])).
% 48.03/31.12 tff(399,plain,
% 48.03/31.12 (((~![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)))),
% 48.03/31.12 inference(transitivity,[status(thm)],[398, 396])).
% 48.03/31.12 tff(400,plain,
% 48.03/31.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB2, constB3)) | (~v101(constB3)) | v1(constB3))),
% 48.03/31.12 inference(quant_inst,[status(thm)],[])).
% 48.03/31.12 tff(401,plain,
% 48.03/31.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3))),
% 48.03/31.12 inference(modus_ponens,[status(thm)],[400, 399])).
% 48.03/31.12 tff(402,plain,
% 48.03/31.12 (~v101(constB3)),
% 48.03/31.12 inference(unit_resolution,[status(thm)],[401, 49, 395, 392])).
% 48.03/31.12 tff(403,plain,
% 48.03/31.12 (((~![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)))),
% 48.03/31.12 inference(rewrite,[status(thm)],[])).
% 48.03/31.12 tff(404,plain,
% 48.03/31.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB2, constB3)) | v101(constB3) | (~v100(constB3)))),
% 48.03/31.12 inference(quant_inst,[status(thm)],[])).
% 48.03/31.12 tff(405,plain,
% 48.03/31.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB2, constB3)) | v101(constB3) | (~v100(constB3))),
% 48.03/31.12 inference(modus_ponens,[status(thm)],[404, 403])).
% 48.03/31.12 tff(406,plain,
% 48.03/31.12 (v101(constB3) | (~v100(constB3))),
% 48.03/31.12 inference(unit_resolution,[status(thm)],[405, 66, 395])).
% 48.03/31.12 tff(407,plain,
% 48.03/31.12 (~v100(constB3)),
% 48.03/31.12 inference(unit_resolution,[status(thm)],[406, 402])).
% 48.03/31.12 tff(408,plain,
% 48.03/31.12 (^[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)))),
% 48.03/31.12 inference(bind,[status(th)],[])).
% 48.03/31.12 tff(409,plain,
% 48.03/31.12 (![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))),
% 48.03/31.12 inference(quant_intro,[status(thm)],[408])).
% 48.03/31.12 tff(410,plain,
% 48.03/31.12 (![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))),
% 48.03/31.12 inference(rewrite,[status(thm)],[])).
% 48.03/31.12 tff(411,plain,
% 48.03/31.12 (^[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))))),
% 48.03/31.13 inference(bind,[status(th)],[])).
% 48.03/31.13 tff(412,plain,
% 48.03/31.13 (![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))),
% 48.03/31.13 inference(quant_intro,[status(thm)],[411])).
% 48.03/31.13 tff(413,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')).
% 48.03/31.13 tff(414,plain,
% 48.03/31.13 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 48.03/31.13 inference(modus_ponens,[status(thm)],[413, 412])).
% 48.03/31.13 tff(415,plain,
% 48.03/31.13 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 48.03/31.13 inference(modus_ponens,[status(thm)],[414, 410])).
% 48.03/31.13 tff(416,plain,(
% 48.03/31.13 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 48.03/31.13 inference(skolemize,[status(sab)],[415])).
% 48.03/31.13 tff(417,plain,
% 48.03/31.13 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))),
% 48.03/31.13 inference(modus_ponens,[status(thm)],[416, 409])).
% 48.03/31.13 tff(418,plain,
% 48.03/31.13 (((~![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))),
% 48.03/31.13 inference(rewrite,[status(thm)],[])).
% 48.03/31.13 tff(419,plain,
% 48.03/31.13 (((~nextState(constB2, constB3)) | (~v90(constB2, bitIndex2)) | v100(constB3) | v90(constB3, bitIndex2)) <=> ((~v90(constB2, bitIndex2)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, bitIndex2))),
% 48.03/31.13 inference(rewrite,[status(thm)],[])).
% 48.03/31.13 tff(420,plain,
% 48.03/31.13 (((~![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)))),
% 48.03/31.13 inference(monotonicity,[status(thm)],[419])).
% 48.03/31.13 tff(421,plain,
% 48.03/31.13 (((~![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))),
% 48.03/31.13 inference(transitivity,[status(thm)],[420, 418])).
% 48.03/31.13 tff(422,plain,
% 48.03/31.13 ((~![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))),
% 48.03/31.13 inference(quant_inst,[status(thm)],[])).
% 48.03/31.13 tff(423,plain,
% 48.03/31.13 ((~![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)),
% 48.03/31.13 inference(modus_ponens,[status(thm)],[422, 421])).
% 48.03/31.13 tff(424,plain,
% 48.03/31.13 ((~v90(constB2, bitIndex2)) | v100(constB3) | v90(constB3, bitIndex2)),
% 48.03/31.13 inference(unit_resolution,[status(thm)],[423, 417, 395])).
% 48.03/31.13 tff(425,plain,
% 48.03/31.13 ((~v90(constB2, bitIndex2)) | v90(constB3, bitIndex2)),
% 48.03/31.13 inference(unit_resolution,[status(thm)],[424, 407])).
% 48.03/31.13 tff(426,plain,
% 48.03/31.13 (v90(constB3, bitIndex2)),
% 48.03/31.13 inference(unit_resolution,[status(thm)],[425, 389])).
% 48.03/31.13 tff(427,plain,
% 48.03/31.13 (^[VarCurr: $i] : refl(((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1))))),
% 48.03/31.13 inference(bind,[status(th)],[])).
% 48.03/31.13 tff(428,plain,
% 48.03/31.13 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 48.03/31.13 inference(quant_intro,[status(thm)],[427])).
% 48.03/31.13 tff(429,plain,
% 48.03/31.13 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 48.03/31.13 inference(rewrite,[status(thm)],[])).
% 48.03/31.13 tff(430,plain,
% 48.03/31.13 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex1)) | (~v119(VarCurr))) <=> ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1))))),
% 48.03/31.13 inference(bind,[status(th)],[])).
% 48.03/31.13 tff(431,plain,
% 48.03/31.13 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex1)) | (~v119(VarCurr))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 48.03/31.13 inference(quant_intro,[status(thm)],[430])).
% 48.03/31.13 tff(432,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex1)) | (~v119(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_6_2')).
% 48.03/31.13 tff(433,plain,
% 48.03/31.13 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 48.03/31.13 inference(modus_ponens,[status(thm)],[432, 431])).
% 48.03/31.13 tff(434,plain,
% 48.03/31.13 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 48.03/31.13 inference(modus_ponens,[status(thm)],[433, 429])).
% 48.03/31.13 tff(435,plain,(
% 48.03/31.13 ![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 48.03/31.13 inference(skolemize,[status(sab)],[434])).
% 48.03/31.13 tff(436,plain,
% 48.03/31.13 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 48.03/31.13 inference(modus_ponens,[status(thm)],[435, 428])).
% 48.03/31.13 tff(437,plain,
% 48.03/31.13 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB1)) | (~v130(constB1, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB1)) | (~v130(constB1, bitIndex1)))),
% 48.03/31.13 inference(rewrite,[status(thm)],[])).
% 48.03/31.13 tff(438,plain,
% 48.03/31.13 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB1)) | (~v130(constB1, bitIndex1)))),
% 48.03/31.13 inference(quant_inst,[status(thm)],[])).
% 48.03/31.13 tff(439,plain,
% 48.03/31.13 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB1)) | (~v130(constB1, bitIndex1))),
% 48.03/31.13 inference(modus_ponens,[status(thm)],[438, 437])).
% 48.03/31.13 tff(440,plain,
% 48.03/31.13 (~v130(constB1, bitIndex1)),
% 48.03/31.13 inference(unit_resolution,[status(thm)],[439, 436, 148])).
% 48.03/31.13 tff(441,plain,
% 48.03/31.13 (^[VarCurr: $i] : refl((v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) <=> (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))))),
% 48.03/31.13 inference(bind,[status(th)],[])).
% 48.03/31.13 tff(442,plain,
% 48.03/31.13 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 48.03/31.13 inference(quant_intro,[status(thm)],[441])).
% 48.03/31.13 tff(443,plain,
% 48.03/31.13 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 48.03/31.13 inference(rewrite,[status(thm)],[])).
% 48.03/31.13 tff(444,plain,
% 48.03/31.13 (^[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)))))),
% 48.03/31.13 inference(bind,[status(th)],[])).
% 48.03/31.13 tff(445,plain,
% 48.03/31.13 (![VarCurr: $i] : ((v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 48.03/31.13 inference(quant_intro,[status(thm)],[444])).
% 48.03/31.13 tff(446,axiom,(![VarCurr: $i] : ((v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1))) | v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_4')).
% 48.03/31.13 tff(447,plain,
% 48.03/31.13 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 48.03/31.13 inference(modus_ponens,[status(thm)],[446, 445])).
% 48.03/31.13 tff(448,plain,
% 48.03/31.13 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 48.03/31.13 inference(modus_ponens,[status(thm)],[447, 443])).
% 48.03/31.13 tff(449,plain,(
% 48.03/31.13 ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 48.03/31.13 inference(skolemize,[status(sab)],[448])).
% 48.03/31.13 tff(450,plain,
% 48.03/31.13 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))),
% 48.03/31.13 inference(modus_ponens,[status(thm)],[449, 442])).
% 48.03/31.13 tff(451,plain,
% 48.03/31.13 (((~![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))),
% 48.03/31.13 inference(rewrite,[status(thm)],[])).
% 48.03/31.13 tff(452,plain,
% 48.03/31.13 ((v26(constB1) | v130(constB1, bitIndex1) | (~v127(constB1, bitIndex1))) <=> ((~v127(constB1, bitIndex1)) | v26(constB1) | v130(constB1, bitIndex1))),
% 48.03/31.13 inference(rewrite,[status(thm)],[])).
% 48.03/31.13 tff(453,plain,
% 48.03/31.13 (((~![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)))),
% 48.03/31.13 inference(monotonicity,[status(thm)],[452])).
% 48.03/31.13 tff(454,plain,
% 48.03/31.13 (((~![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))),
% 48.03/31.13 inference(transitivity,[status(thm)],[453, 451])).
% 48.03/31.13 tff(455,plain,
% 48.03/31.13 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB1) | v130(constB1, bitIndex1) | (~v127(constB1, bitIndex1)))),
% 48.03/31.13 inference(quant_inst,[status(thm)],[])).
% 48.03/31.13 tff(456,plain,
% 48.03/31.13 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB1, bitIndex1)) | v26(constB1) | v130(constB1, bitIndex1)),
% 48.03/31.13 inference(modus_ponens,[status(thm)],[455, 454])).
% 48.03/31.13 tff(457,plain,
% 48.03/31.13 ((~v127(constB1, bitIndex1)) | v26(constB1)),
% 48.03/31.13 inference(unit_resolution,[status(thm)],[456, 450, 440])).
% 48.03/31.13 tff(458,plain,
% 48.03/31.13 (~v127(constB1, bitIndex1)),
% 48.03/31.13 inference(unit_resolution,[status(thm)],[457, 33])).
% 48.03/31.13 tff(459,plain,
% 48.03/31.13 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1))))),
% 48.03/31.13 inference(bind,[status(th)],[])).
% 48.03/31.13 tff(460,plain,
% 48.03/31.13 (![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)))),
% 48.03/31.13 inference(quant_intro,[status(thm)],[459])).
% 48.03/31.13 tff(461,plain,
% 48.03/31.13 (![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)))),
% 48.03/31.13 inference(rewrite,[status(thm)],[])).
% 48.03/31.13 tff(462,plain,
% 48.03/31.13 (^[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)))))),
% 48.03/31.13 inference(bind,[status(th)],[])).
% 48.03/31.13 tff(463,plain,
% 48.03/31.13 (![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)))),
% 48.03/31.13 inference(quant_intro,[status(thm)],[462])).
% 48.03/31.13 tff(464,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')).
% 48.03/31.13 tff(465,plain,
% 48.03/31.13 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 48.03/31.13 inference(modus_ponens,[status(thm)],[464, 463])).
% 48.03/31.13 tff(466,plain,
% 48.03/31.13 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 48.03/31.13 inference(modus_ponens,[status(thm)],[465, 461])).
% 48.03/31.13 tff(467,plain,(
% 48.03/31.13 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 48.03/31.13 inference(skolemize,[status(sab)],[466])).
% 48.03/31.13 tff(468,plain,
% 48.03/31.13 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))),
% 48.03/31.13 inference(modus_ponens,[status(thm)],[467, 460])).
% 48.03/31.13 tff(469,plain,
% 48.03/31.13 (((~![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)))),
% 48.03/31.13 inference(rewrite,[status(thm)],[])).
% 48.03/31.13 tff(470,plain,
% 48.03/31.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB1, constB2)) | v127(constB1, bitIndex1) | (~v129(constB2, bitIndex1)))),
% 48.03/31.13 inference(quant_inst,[status(thm)],[])).
% 48.03/31.13 tff(471,plain,
% 48.03/31.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB1, constB2)) | v127(constB1, bitIndex1) | (~v129(constB2, bitIndex1))),
% 48.03/31.13 inference(modus_ponens,[status(thm)],[470, 469])).
% 48.03/31.13 tff(472,plain,
% 48.03/31.13 (v127(constB1, bitIndex1) | (~v129(constB2, bitIndex1))),
% 48.03/31.13 inference(unit_resolution,[status(thm)],[471, 468, 243])).
% 48.03/31.13 tff(473,plain,
% 48.03/31.13 (~v129(constB2, bitIndex1)),
% 48.03/31.13 inference(unit_resolution,[status(thm)],[472, 458])).
% 48.03/31.13 tff(474,plain,
% 48.03/31.13 (^[VarNext: $i] : refl(((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1)) <=> ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1)))),
% 48.03/31.13 inference(bind,[status(th)],[])).
% 48.03/31.13 tff(475,plain,
% 48.03/31.13 (![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1)) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 48.03/31.13 inference(quant_intro,[status(thm)],[474])).
% 48.03/31.13 tff(476,plain,
% 48.03/31.13 (![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1)) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 48.03/31.13 inference(rewrite,[status(thm)],[])).
% 48.03/31.13 tff(477,plain,
% 48.03/31.13 (^[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))))),
% 48.03/31.13 inference(bind,[status(th)],[])).
% 48.03/31.13 tff(478,plain,
% 48.03/31.13 (![VarNext: $i] : ((v129(VarNext, bitIndex1) | (~v90(VarNext, bitIndex1))) | (~v100(VarNext))) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 48.03/31.13 inference(quant_intro,[status(thm)],[477])).
% 48.03/31.13 tff(479,axiom,(![VarNext: $i] : ((v129(VarNext, bitIndex1) | (~v90(VarNext, bitIndex1))) | (~v100(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_4')).
% 48.03/31.13 tff(480,plain,
% 48.03/31.13 (![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 48.03/31.13 inference(modus_ponens,[status(thm)],[479, 478])).
% 48.03/31.13 tff(481,plain,
% 48.03/31.13 (![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 48.03/31.13 inference(modus_ponens,[status(thm)],[480, 476])).
% 48.03/31.13 tff(482,plain,(
% 48.03/31.13 ![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 48.03/31.13 inference(skolemize,[status(sab)],[481])).
% 48.03/31.13 tff(483,plain,
% 48.03/31.13 (![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))),
% 48.03/31.13 inference(modus_ponens,[status(thm)],[482, 475])).
% 48.03/31.13 tff(484,plain,
% 48.03/31.13 (((~![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)))),
% 48.03/31.13 inference(rewrite,[status(thm)],[])).
% 48.03/31.13 tff(485,plain,
% 48.03/31.13 (((~v90(constB2, bitIndex1)) | (~v100(constB2)) | v129(constB2, bitIndex1)) <=> ((~v90(constB2, bitIndex1)) | v129(constB2, bitIndex1) | (~v100(constB2)))),
% 48.03/31.13 inference(rewrite,[status(thm)],[])).
% 48.03/31.13 tff(486,plain,
% 48.03/31.13 (((~![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))))),
% 48.03/31.13 inference(monotonicity,[status(thm)],[485])).
% 48.03/31.13 tff(487,plain,
% 48.03/31.13 (((~![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)))),
% 48.03/31.13 inference(transitivity,[status(thm)],[486, 484])).
% 48.03/31.13 tff(488,plain,
% 48.03/31.13 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB2, bitIndex1)) | (~v100(constB2)) | v129(constB2, bitIndex1))),
% 48.03/31.13 inference(quant_inst,[status(thm)],[])).
% 48.03/31.13 tff(489,plain,
% 48.03/31.13 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB2, bitIndex1)) | v129(constB2, bitIndex1) | (~v100(constB2))),
% 48.03/31.13 inference(modus_ponens,[status(thm)],[488, 487])).
% 48.03/31.13 tff(490,plain,
% 48.03/31.13 ((~v90(constB2, bitIndex1)) | (~v100(constB2))),
% 48.03/31.13 inference(unit_resolution,[status(thm)],[489, 483, 473])).
% 48.03/31.13 tff(491,plain,
% 48.03/31.13 (~v90(constB2, bitIndex1)),
% 48.03/31.13 inference(unit_resolution,[status(thm)],[490, 327])).
% 48.03/31.13 tff(492,plain,
% 48.03/31.13 (((~![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)))),
% 48.03/31.13 inference(rewrite,[status(thm)],[])).
% 48.03/31.13 tff(493,plain,
% 48.03/31.13 (((~nextState(constB2, constB3)) | v90(constB2, bitIndex1) | v100(constB3) | (~v90(constB3, bitIndex1))) <=> (v90(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex1)))),
% 48.03/31.13 inference(rewrite,[status(thm)],[])).
% 48.03/31.13 tff(494,plain,
% 48.03/31.13 (((~![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))))),
% 48.03/31.13 inference(monotonicity,[status(thm)],[493])).
% 48.03/31.13 tff(495,plain,
% 48.03/31.13 (((~![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)))),
% 48.03/31.13 inference(transitivity,[status(thm)],[494, 492])).
% 48.03/31.13 tff(496,plain,
% 48.03/31.13 ((~![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)))),
% 48.03/31.13 inference(quant_inst,[status(thm)],[])).
% 48.03/31.13 tff(497,plain,
% 48.03/31.13 ((~![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))),
% 48.03/31.13 inference(modus_ponens,[status(thm)],[496, 495])).
% 48.03/31.13 tff(498,plain,
% 48.03/31.13 (v90(constB2, bitIndex1) | v100(constB3) | (~v90(constB3, bitIndex1))),
% 48.03/31.13 inference(unit_resolution,[status(thm)],[497, 102, 395])).
% 48.03/31.13 tff(499,plain,
% 48.03/31.13 (v90(constB2, bitIndex1) | (~v90(constB3, bitIndex1))),
% 48.03/31.13 inference(unit_resolution,[status(thm)],[498, 407])).
% 48.03/31.13 tff(500,plain,
% 48.03/31.13 (~v90(constB3, bitIndex1)),
% 48.03/31.13 inference(unit_resolution,[status(thm)],[499, 491])).
% 48.03/31.13 tff(501,plain,
% 48.03/31.13 (^[VarCurr: $i] : refl(((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0))))),
% 48.03/31.13 inference(bind,[status(th)],[])).
% 48.03/31.13 tff(502,plain,
% 48.03/31.13 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 48.03/31.13 inference(quant_intro,[status(thm)],[501])).
% 48.03/31.13 tff(503,plain,
% 48.03/31.13 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 48.03/31.13 inference(rewrite,[status(thm)],[])).
% 48.03/31.13 tff(504,plain,
% 48.03/31.13 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex0)) | (~v119(VarCurr))) <=> ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0))))),
% 48.03/31.13 inference(bind,[status(th)],[])).
% 48.03/31.13 tff(505,plain,
% 48.03/31.13 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex0)) | (~v119(VarCurr))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 48.03/31.13 inference(quant_intro,[status(thm)],[504])).
% 48.03/31.13 tff(506,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex0)) | (~v119(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_6_1')).
% 48.03/31.13 tff(507,plain,
% 48.03/31.13 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 48.03/31.13 inference(modus_ponens,[status(thm)],[506, 505])).
% 48.03/31.13 tff(508,plain,
% 48.03/31.13 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 48.03/31.13 inference(modus_ponens,[status(thm)],[507, 503])).
% 48.03/31.13 tff(509,plain,(
% 48.03/31.13 ![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 48.03/31.13 inference(skolemize,[status(sab)],[508])).
% 48.03/31.13 tff(510,plain,
% 48.03/31.13 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 48.03/31.13 inference(modus_ponens,[status(thm)],[509, 502])).
% 48.03/31.13 tff(511,plain,
% 48.03/31.13 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB1)) | (~v130(constB1, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB1)) | (~v130(constB1, bitIndex0)))),
% 48.03/31.13 inference(rewrite,[status(thm)],[])).
% 48.03/31.13 tff(512,plain,
% 48.03/31.13 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB1)) | (~v130(constB1, bitIndex0)))),
% 48.03/31.13 inference(quant_inst,[status(thm)],[])).
% 48.03/31.13 tff(513,plain,
% 48.03/31.13 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB1)) | (~v130(constB1, bitIndex0))),
% 48.03/31.13 inference(modus_ponens,[status(thm)],[512, 511])).
% 48.03/31.13 tff(514,plain,
% 48.03/31.13 (~v130(constB1, bitIndex0)),
% 48.03/31.13 inference(unit_resolution,[status(thm)],[513, 510, 148])).
% 48.03/31.13 tff(515,plain,
% 48.03/31.13 (^[VarCurr: $i] : refl((v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) <=> (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))))),
% 48.03/31.13 inference(bind,[status(th)],[])).
% 48.03/31.13 tff(516,plain,
% 48.03/31.13 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 48.03/31.13 inference(quant_intro,[status(thm)],[515])).
% 48.03/31.13 tff(517,plain,
% 48.03/31.13 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 48.03/31.13 inference(rewrite,[status(thm)],[])).
% 48.03/31.13 tff(518,plain,
% 48.03/31.13 (^[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)))))),
% 48.03/31.13 inference(bind,[status(th)],[])).
% 48.03/31.13 tff(519,plain,
% 48.03/31.13 (![VarCurr: $i] : ((v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 48.03/31.13 inference(quant_intro,[status(thm)],[518])).
% 48.03/31.13 tff(520,axiom,(![VarCurr: $i] : ((v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0))) | v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_2')).
% 48.03/31.13 tff(521,plain,
% 48.03/31.13 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 48.03/31.13 inference(modus_ponens,[status(thm)],[520, 519])).
% 48.03/31.13 tff(522,plain,
% 48.03/31.13 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 48.03/31.13 inference(modus_ponens,[status(thm)],[521, 517])).
% 48.03/31.13 tff(523,plain,(
% 48.03/31.13 ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 48.03/31.13 inference(skolemize,[status(sab)],[522])).
% 48.03/31.13 tff(524,plain,
% 48.03/31.13 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))),
% 48.03/31.13 inference(modus_ponens,[status(thm)],[523, 516])).
% 48.03/31.13 tff(525,plain,
% 48.03/31.13 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB1, bitIndex0)) | v26(constB1) | v130(constB1, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB1, bitIndex0)) | v26(constB1) | v130(constB1, bitIndex0))),
% 48.03/31.13 inference(rewrite,[status(thm)],[])).
% 48.03/31.13 tff(526,plain,
% 48.03/31.13 ((v26(constB1) | v130(constB1, bitIndex0) | (~v127(constB1, bitIndex0))) <=> ((~v127(constB1, bitIndex0)) | v26(constB1) | v130(constB1, bitIndex0))),
% 48.03/31.13 inference(rewrite,[status(thm)],[])).
% 48.03/31.13 tff(527,plain,
% 48.03/31.13 (((~![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)))) | ((~v127(constB1, bitIndex0)) | v26(constB1) | v130(constB1, bitIndex0)))),
% 48.03/31.13 inference(monotonicity,[status(thm)],[526])).
% 48.03/31.13 tff(528,plain,
% 48.03/31.13 (((~![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)))) | (~v127(constB1, bitIndex0)) | v26(constB1) | v130(constB1, bitIndex0))),
% 48.03/31.13 inference(transitivity,[status(thm)],[527, 525])).
% 48.03/31.13 tff(529,plain,
% 48.03/31.13 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB1) | v130(constB1, bitIndex0) | (~v127(constB1, bitIndex0)))),
% 48.03/31.13 inference(quant_inst,[status(thm)],[])).
% 48.03/31.13 tff(530,plain,
% 48.03/31.13 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB1, bitIndex0)) | v26(constB1) | v130(constB1, bitIndex0)),
% 48.03/31.13 inference(modus_ponens,[status(thm)],[529, 528])).
% 48.03/31.13 tff(531,plain,
% 48.03/31.13 ((~v127(constB1, bitIndex0)) | v26(constB1)),
% 48.03/31.13 inference(unit_resolution,[status(thm)],[530, 524, 514])).
% 48.03/31.13 tff(532,plain,
% 48.03/31.13 (~v127(constB1, bitIndex0)),
% 48.03/31.13 inference(unit_resolution,[status(thm)],[531, 33])).
% 48.03/31.13 tff(533,plain,
% 48.03/31.13 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0))))),
% 48.03/31.13 inference(bind,[status(th)],[])).
% 48.03/31.13 tff(534,plain,
% 48.03/31.13 (![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)))),
% 48.03/31.13 inference(quant_intro,[status(thm)],[533])).
% 48.03/31.13 tff(535,plain,
% 48.03/31.13 (![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)))),
% 48.03/31.13 inference(rewrite,[status(thm)],[])).
% 48.03/31.13 tff(536,plain,
% 48.03/31.13 (^[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)))))),
% 48.03/31.13 inference(bind,[status(th)],[])).
% 48.03/31.13 tff(537,plain,
% 48.03/31.13 (![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)))),
% 48.03/31.13 inference(quant_intro,[status(thm)],[536])).
% 48.03/31.13 tff(538,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')).
% 48.03/31.13 tff(539,plain,
% 48.03/31.13 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 48.03/31.13 inference(modus_ponens,[status(thm)],[538, 537])).
% 48.03/31.13 tff(540,plain,
% 48.03/31.13 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 48.03/31.13 inference(modus_ponens,[status(thm)],[539, 535])).
% 48.03/31.13 tff(541,plain,(
% 48.03/31.13 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 48.03/31.13 inference(skolemize,[status(sab)],[540])).
% 48.03/31.13 tff(542,plain,
% 48.03/31.13 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))),
% 48.03/31.13 inference(modus_ponens,[status(thm)],[541, 534])).
% 48.03/31.13 tff(543,plain,
% 48.03/31.13 (((~![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)))),
% 48.03/31.13 inference(rewrite,[status(thm)],[])).
% 48.03/31.13 tff(544,plain,
% 48.03/31.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB1, constB2)) | v127(constB1, bitIndex0) | (~v129(constB2, bitIndex0)))),
% 48.03/31.13 inference(quant_inst,[status(thm)],[])).
% 48.03/31.13 tff(545,plain,
% 48.03/31.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB1, constB2)) | v127(constB1, bitIndex0) | (~v129(constB2, bitIndex0))),
% 48.03/31.13 inference(modus_ponens,[status(thm)],[544, 543])).
% 48.03/31.13 tff(546,plain,
% 48.03/31.13 (v127(constB1, bitIndex0) | (~v129(constB2, bitIndex0))),
% 48.03/31.13 inference(unit_resolution,[status(thm)],[545, 542, 243])).
% 48.03/31.13 tff(547,plain,
% 48.03/31.13 (~v129(constB2, bitIndex0)),
% 48.03/31.13 inference(unit_resolution,[status(thm)],[546, 532])).
% 48.03/31.13 tff(548,plain,
% 48.03/31.13 (^[VarNext: $i] : refl(((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0)) <=> ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0)))),
% 48.03/31.13 inference(bind,[status(th)],[])).
% 48.03/31.13 tff(549,plain,
% 48.03/31.13 (![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0)) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 48.03/31.13 inference(quant_intro,[status(thm)],[548])).
% 48.03/31.14 tff(550,plain,
% 48.03/31.14 (![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0)) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 48.03/31.14 inference(rewrite,[status(thm)],[])).
% 48.03/31.14 tff(551,plain,
% 48.03/31.14 (^[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))))),
% 48.03/31.14 inference(bind,[status(th)],[])).
% 48.03/31.14 tff(552,plain,
% 48.03/31.14 (![VarNext: $i] : ((v129(VarNext, bitIndex0) | (~v90(VarNext, bitIndex0))) | (~v100(VarNext))) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 48.03/31.14 inference(quant_intro,[status(thm)],[551])).
% 48.03/31.14 tff(553,axiom,(![VarNext: $i] : ((v129(VarNext, bitIndex0) | (~v90(VarNext, bitIndex0))) | (~v100(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_2')).
% 48.03/31.14 tff(554,plain,
% 48.03/31.14 (![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 48.03/31.14 inference(modus_ponens,[status(thm)],[553, 552])).
% 48.03/31.14 tff(555,plain,
% 48.03/31.14 (![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 48.03/31.14 inference(modus_ponens,[status(thm)],[554, 550])).
% 48.03/31.14 tff(556,plain,(
% 48.03/31.14 ![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 48.03/31.14 inference(skolemize,[status(sab)],[555])).
% 48.03/31.14 tff(557,plain,
% 48.03/31.14 (![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))),
% 48.03/31.14 inference(modus_ponens,[status(thm)],[556, 549])).
% 48.03/31.14 tff(558,plain,
% 48.03/31.14 (((~![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)))),
% 48.03/31.14 inference(rewrite,[status(thm)],[])).
% 48.03/31.14 tff(559,plain,
% 48.03/31.14 (((~v90(constB2, bitIndex0)) | (~v100(constB2)) | v129(constB2, bitIndex0)) <=> ((~v90(constB2, bitIndex0)) | v129(constB2, bitIndex0) | (~v100(constB2)))),
% 48.03/31.14 inference(rewrite,[status(thm)],[])).
% 48.03/31.14 tff(560,plain,
% 48.03/31.14 (((~![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))))),
% 48.03/31.14 inference(monotonicity,[status(thm)],[559])).
% 48.03/31.14 tff(561,plain,
% 48.03/31.14 (((~![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)))),
% 48.03/31.14 inference(transitivity,[status(thm)],[560, 558])).
% 48.03/31.14 tff(562,plain,
% 48.03/31.14 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB2, bitIndex0)) | (~v100(constB2)) | v129(constB2, bitIndex0))),
% 48.03/31.14 inference(quant_inst,[status(thm)],[])).
% 48.03/31.14 tff(563,plain,
% 48.03/31.14 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB2, bitIndex0)) | v129(constB2, bitIndex0) | (~v100(constB2))),
% 48.03/31.14 inference(modus_ponens,[status(thm)],[562, 561])).
% 48.03/31.14 tff(564,plain,
% 48.03/31.14 ((~v90(constB2, bitIndex0)) | (~v100(constB2))),
% 48.03/31.14 inference(unit_resolution,[status(thm)],[563, 557, 547])).
% 48.03/31.14 tff(565,plain,
% 48.03/31.14 (~v90(constB2, bitIndex0)),
% 48.03/31.14 inference(unit_resolution,[status(thm)],[564, 327])).
% 48.03/31.14 tff(566,plain,
% 48.03/31.14 (((~![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)))),
% 48.03/31.14 inference(rewrite,[status(thm)],[])).
% 48.03/31.14 tff(567,plain,
% 48.03/31.14 (((~nextState(constB2, constB3)) | v90(constB2, bitIndex0) | v100(constB3) | (~v90(constB3, bitIndex0))) <=> (v90(constB2, bitIndex0) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, bitIndex0)))),
% 48.03/31.14 inference(rewrite,[status(thm)],[])).
% 48.03/31.14 tff(568,plain,
% 48.03/31.14 (((~![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))))),
% 48.03/31.14 inference(monotonicity,[status(thm)],[567])).
% 48.03/31.14 tff(569,plain,
% 48.03/31.14 (((~![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)))),
% 48.03/31.14 inference(transitivity,[status(thm)],[568, 566])).
% 48.03/31.14 tff(570,plain,
% 48.03/31.14 ((~![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)))),
% 48.03/31.14 inference(quant_inst,[status(thm)],[])).
% 48.03/31.14 tff(571,plain,
% 48.03/31.14 ((~![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))),
% 48.03/31.14 inference(modus_ponens,[status(thm)],[570, 569])).
% 48.03/31.14 tff(572,plain,
% 48.03/31.14 (v90(constB2, bitIndex0) | v100(constB3) | (~v90(constB3, bitIndex0))),
% 48.03/31.14 inference(unit_resolution,[status(thm)],[571, 123, 395])).
% 48.03/31.14 tff(573,plain,
% 48.03/31.14 (v90(constB2, bitIndex0) | (~v90(constB3, bitIndex0))),
% 48.03/31.14 inference(unit_resolution,[status(thm)],[572, 407])).
% 48.03/31.14 tff(574,plain,
% 48.03/31.14 (~v90(constB3, bitIndex0)),
% 48.03/31.14 inference(unit_resolution,[status(thm)],[573, 565])).
% 48.03/31.14 tff(575,plain,
% 48.03/31.14 (^[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)))),
% 48.03/31.14 inference(bind,[status(th)],[])).
% 48.03/31.14 tff(576,plain,
% 48.03/31.14 (![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))),
% 48.03/31.14 inference(quant_intro,[status(thm)],[575])).
% 48.03/31.14 tff(577,plain,
% 48.03/31.14 (![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))),
% 48.03/31.14 inference(rewrite,[status(thm)],[])).
% 48.03/31.14 tff(578,plain,
% 48.03/31.14 (^[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))))),
% 48.03/31.14 inference(bind,[status(th)],[])).
% 48.03/31.14 tff(579,plain,
% 48.03/31.14 (![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))),
% 48.03/31.14 inference(quant_intro,[status(thm)],[578])).
% 48.03/31.14 tff(580,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')).
% 48.03/31.14 tff(581,plain,
% 48.03/31.14 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 48.03/31.14 inference(modus_ponens,[status(thm)],[580, 579])).
% 48.03/31.14 tff(582,plain,
% 48.03/31.14 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 48.03/31.14 inference(modus_ponens,[status(thm)],[581, 577])).
% 48.03/31.14 tff(583,plain,(
% 48.03/31.14 ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 48.03/31.14 inference(skolemize,[status(sab)],[582])).
% 48.03/31.14 tff(584,plain,
% 48.03/31.14 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))),
% 48.03/31.14 inference(modus_ponens,[status(thm)],[583, 576])).
% 48.03/31.14 tff(585,plain,
% 48.03/31.14 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB3, bitIndex0) | v90(constB3, bitIndex1) | (~v90(constB3, bitIndex2)) | v123(constB3))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB3, bitIndex0) | v90(constB3, bitIndex1) | (~v90(constB3, bitIndex2)) | v123(constB3))),
% 48.03/31.14 inference(rewrite,[status(thm)],[])).
% 48.03/31.14 tff(586,plain,
% 48.03/31.14 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB3, bitIndex0) | v90(constB3, bitIndex1) | (~v90(constB3, bitIndex2)) | v123(constB3))),
% 48.03/31.14 inference(quant_inst,[status(thm)],[])).
% 48.03/31.14 tff(587,plain,
% 48.03/31.14 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB3, bitIndex0) | v90(constB3, bitIndex1) | (~v90(constB3, bitIndex2)) | v123(constB3)),
% 48.03/31.14 inference(modus_ponens,[status(thm)],[586, 585])).
% 48.03/31.14 tff(588,plain,
% 48.03/31.14 (v123(constB3)),
% 48.03/31.14 inference(unit_resolution,[status(thm)],[587, 584, 574, 500, 426])).
% 48.03/31.14 tff(589,plain,
% 48.03/31.14 (^[VarCurr: $i] : refl((v115(VarCurr) | (~v123(VarCurr))) <=> (v115(VarCurr) | (~v123(VarCurr))))),
% 48.03/31.14 inference(bind,[status(th)],[])).
% 48.03/31.14 tff(590,plain,
% 48.03/31.14 (![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr))) <=> ![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))),
% 48.03/31.14 inference(quant_intro,[status(thm)],[589])).
% 48.03/31.14 tff(591,plain,
% 48.03/31.14 (![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr))) <=> ![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))),
% 48.03/31.14 inference(rewrite,[status(thm)],[])).
% 48.03/31.14 tff(592,axiom,(![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_22_1_1')).
% 48.03/31.14 tff(593,plain,
% 48.03/31.14 (![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))),
% 48.03/31.14 inference(modus_ponens,[status(thm)],[592, 591])).
% 48.03/31.14 tff(594,plain,(
% 48.03/31.14 ![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))),
% 48.03/31.14 inference(skolemize,[status(sab)],[593])).
% 48.03/31.14 tff(595,plain,
% 48.03/31.14 (![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))),
% 48.03/31.14 inference(modus_ponens,[status(thm)],[594, 590])).
% 48.03/31.14 tff(596,plain,
% 48.03/31.14 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB3) | (~v123(constB3)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB3) | (~v123(constB3)))),
% 48.03/31.14 inference(rewrite,[status(thm)],[])).
% 48.03/31.14 tff(597,plain,
% 48.03/31.14 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB3) | (~v123(constB3)))),
% 48.03/31.14 inference(quant_inst,[status(thm)],[])).
% 48.03/31.14 tff(598,plain,
% 48.03/31.14 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB3) | (~v123(constB3))),
% 48.03/31.14 inference(modus_ponens,[status(thm)],[597, 596])).
% 48.03/31.14 tff(599,plain,
% 48.03/31.14 (v115(constB3)),
% 48.03/31.14 inference(unit_resolution,[status(thm)],[598, 595, 588])).
% 48.03/31.14 tff(600,plain,
% 48.03/31.14 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB3) | (~v115(constB3)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB3) | (~v115(constB3)))),
% 48.03/31.14 inference(rewrite,[status(thm)],[])).
% 48.03/31.14 tff(601,plain,
% 48.03/31.14 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB3) | (~v115(constB3)))),
% 48.03/31.14 inference(quant_inst,[status(thm)],[])).
% 48.03/31.14 tff(602,plain,
% 48.03/31.14 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB3) | (~v115(constB3))),
% 48.03/31.14 inference(modus_ponens,[status(thm)],[601, 600])).
% 48.03/31.14 tff(603,plain,
% 48.03/31.14 (v114(constB3)),
% 48.03/31.14 inference(unit_resolution,[status(thm)],[602, 199, 599])).
% 48.03/31.14 tff(604,plain,
% 48.03/31.14 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB3) | (~v114(constB3)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB3) | (~v114(constB3)))),
% 48.03/31.14 inference(rewrite,[status(thm)],[])).
% 48.03/31.14 tff(605,plain,
% 48.03/31.14 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB3) | (~v114(constB3)))),
% 48.03/31.14 inference(quant_inst,[status(thm)],[])).
% 48.03/31.14 tff(606,plain,
% 48.03/31.14 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB3) | (~v114(constB3))),
% 48.03/31.14 inference(modus_ponens,[status(thm)],[605, 604])).
% 48.03/31.14 tff(607,plain,
% 48.03/31.14 (v113(constB3)),
% 48.03/31.14 inference(unit_resolution,[status(thm)],[606, 210, 603])).
% 48.03/31.14 tff(608,assumption,(v26(constB3)), introduced(assumption)).
% 48.03/31.14 tff(609,plain,
% 48.03/31.14 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB3))),
% 48.03/31.14 inference(quant_inst,[status(thm)],[])).
% 48.03/31.14 tff(610,plain,
% 48.03/31.14 ($false),
% 48.03/31.14 inference(unit_resolution,[status(thm)],[609, 16, 608])).
% 48.03/31.14 tff(611,plain,(~v26(constB3)), inference(lemma,lemma(discharge,[]))).
% 48.03/31.14 tff(612,plain,
% 48.03/31.14 (((~![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))),
% 48.03/31.14 inference(rewrite,[status(thm)],[])).
% 48.03/31.14 tff(613,plain,
% 48.03/31.14 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB3) | (~v113(constB3)) | v112(constB3))),
% 48.03/31.14 inference(quant_inst,[status(thm)],[])).
% 48.03/31.14 tff(614,plain,
% 48.03/31.14 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB3) | (~v113(constB3)) | v112(constB3)),
% 48.03/31.14 inference(modus_ponens,[status(thm)],[613, 612])).
% 48.03/31.14 tff(615,plain,
% 48.03/31.14 ((~v113(constB3)) | v112(constB3)),
% 48.03/31.14 inference(unit_resolution,[status(thm)],[614, 224, 611])).
% 48.03/31.14 tff(616,plain,
% 48.03/31.14 (v112(constB3)),
% 48.03/31.14 inference(unit_resolution,[status(thm)],[615, 607])).
% 48.03/31.14 tff(617,plain,
% 48.03/31.14 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB3) | (~v112(constB3)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB3) | (~v112(constB3)))),
% 48.03/31.14 inference(rewrite,[status(thm)],[])).
% 48.03/31.14 tff(618,plain,
% 48.03/31.14 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB3) | (~v112(constB3)))),
% 48.03/31.14 inference(quant_inst,[status(thm)],[])).
% 48.03/31.14 tff(619,plain,
% 48.03/31.14 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB3) | (~v112(constB3))),
% 48.03/31.14 inference(modus_ponens,[status(thm)],[618, 617])).
% 48.03/31.14 tff(620,plain,
% 48.03/31.14 (v108(constB3)),
% 48.03/31.14 inference(unit_resolution,[status(thm)],[619, 236, 616])).
% 48.03/31.14 tff(621,plain,
% 48.03/31.14 (nextState(constB3, constB4) <=> nextState(constB3, constB4)),
% 48.03/31.14 inference(rewrite,[status(thm)],[])).
% 48.03/31.14 tff(622,axiom,(nextState(constB3, constB4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_3_1')).
% 48.03/31.14 tff(623,plain,
% 48.03/31.14 (nextState(constB3, constB4)),
% 48.03/31.14 inference(modus_ponens,[status(thm)],[622, 621])).
% 48.03/31.14 tff(624,plain,
% 48.03/31.14 (((~![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)))),
% 48.03/31.14 inference(rewrite,[status(thm)],[])).
% 48.03/31.14 tff(625,plain,
% 48.03/31.14 (((~nextState(constB3, constB4)) | (~v108(constB3)) | v110(constB4)) <=> ((~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3)))),
% 48.03/31.14 inference(rewrite,[status(thm)],[])).
% 48.03/31.14 tff(626,plain,
% 48.03/31.14 (((~![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))))),
% 48.03/31.14 inference(monotonicity,[status(thm)],[625])).
% 48.03/31.14 tff(627,plain,
% 48.03/31.14 (((~![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)))),
% 48.03/31.14 inference(transitivity,[status(thm)],[626, 624])).
% 48.03/31.14 tff(628,plain,
% 48.03/31.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB3, constB4)) | (~v108(constB3)) | v110(constB4))),
% 48.03/31.14 inference(quant_inst,[status(thm)],[])).
% 48.03/31.14 tff(629,plain,
% 48.03/31.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3))),
% 48.03/31.14 inference(modus_ponens,[status(thm)],[628, 627])).
% 48.03/31.14 tff(630,plain,
% 48.03/31.14 (v110(constB4) | (~v108(constB3))),
% 48.03/31.14 inference(unit_resolution,[status(thm)],[629, 253, 623])).
% 48.03/31.14 tff(631,plain,
% 48.03/31.14 (v110(constB4)),
% 48.03/31.14 inference(unit_resolution,[status(thm)],[630, 620])).
% 48.03/31.14 tff(632,plain,
% 48.03/31.14 (((~![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)))),
% 48.03/31.14 inference(rewrite,[status(thm)],[])).
% 48.03/31.14 tff(633,plain,
% 48.03/31.14 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB3) | (~nextState(constB3, constB4)) | (~v104(constB4)))),
% 48.03/31.14 inference(quant_inst,[status(thm)],[])).
% 48.03/31.14 tff(634,plain,
% 48.03/31.14 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB3) | (~nextState(constB3, constB4)) | (~v104(constB4))),
% 48.03/31.14 inference(modus_ponens,[status(thm)],[633, 632])).
% 48.03/31.14 tff(635,plain,
% 48.03/31.14 (~v104(constB4)),
% 48.03/31.14 inference(unit_resolution,[status(thm)],[634, 271, 623, 392])).
% 48.03/31.14 tff(636,plain,
% 48.03/31.14 (((~![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))),
% 48.03/31.14 inference(rewrite,[status(thm)],[])).
% 48.03/31.14 tff(637,plain,
% 48.03/31.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB3, constB4)) | v102(constB4) | v104(constB4))),
% 48.03/31.14 inference(quant_inst,[status(thm)],[])).
% 48.03/31.14 tff(638,plain,
% 48.03/31.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB3, constB4)) | v102(constB4) | v104(constB4)),
% 48.03/31.14 inference(modus_ponens,[status(thm)],[637, 636])).
% 48.03/31.14 tff(639,plain,
% 48.03/31.14 (v102(constB4) | v104(constB4)),
% 48.03/31.14 inference(unit_resolution,[status(thm)],[638, 285, 623])).
% 48.03/31.14 tff(640,plain,
% 48.03/31.14 (v102(constB4)),
% 48.03/31.14 inference(unit_resolution,[status(thm)],[639, 635])).
% 48.03/31.14 tff(641,plain,
% 48.03/31.14 (v1(constB4) <=> v1(constB4)),
% 48.03/31.14 inference(rewrite,[status(thm)],[])).
% 48.03/31.14 tff(642,axiom,(v1(constB4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_4_1')).
% 48.03/31.14 tff(643,plain,
% 48.03/31.14 (v1(constB4)),
% 48.03/31.14 inference(modus_ponens,[status(thm)],[642, 641])).
% 48.03/31.14 tff(644,plain,
% 48.03/31.14 (((~![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)))),
% 48.03/31.14 inference(rewrite,[status(thm)],[])).
% 48.03/31.14 tff(645,plain,
% 48.03/31.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB3, constB4)) | v101(constB4) | (~v102(constB4)) | (~v1(constB4)))),
% 48.03/31.14 inference(quant_inst,[status(thm)],[])).
% 48.03/31.14 tff(646,plain,
% 48.03/31.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB3, constB4)) | v101(constB4) | (~v102(constB4)) | (~v1(constB4))),
% 48.03/31.14 inference(modus_ponens,[status(thm)],[645, 644])).
% 48.03/31.14 tff(647,plain,
% 48.03/31.14 (v101(constB4) | (~v102(constB4))),
% 48.03/31.14 inference(unit_resolution,[status(thm)],[646, 303, 623, 643])).
% 48.03/31.14 tff(648,plain,
% 48.03/31.14 (v101(constB4)),
% 48.03/31.14 inference(unit_resolution,[status(thm)],[647, 640])).
% 48.03/31.14 tff(649,plain,
% 48.03/31.14 (((~![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)))),
% 48.03/31.14 inference(rewrite,[status(thm)],[])).
% 48.03/31.14 tff(650,plain,
% 48.03/31.14 (((~nextState(constB3, constB4)) | (~v101(constB4)) | (~v110(constB4)) | v100(constB4)) <=> ((~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4)))),
% 48.03/31.14 inference(rewrite,[status(thm)],[])).
% 48.03/31.14 tff(651,plain,
% 48.03/31.14 (((~![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))))),
% 48.03/31.14 inference(monotonicity,[status(thm)],[650])).
% 48.03/31.14 tff(652,plain,
% 48.03/31.14 (((~![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)))),
% 48.03/31.14 inference(transitivity,[status(thm)],[651, 649])).
% 48.03/31.14 tff(653,plain,
% 48.03/31.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB3, constB4)) | (~v101(constB4)) | (~v110(constB4)) | v100(constB4))),
% 48.03/31.14 inference(quant_inst,[status(thm)],[])).
% 48.03/31.14 tff(654,plain,
% 48.03/31.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4))),
% 48.03/31.14 inference(modus_ponens,[status(thm)],[653, 652])).
% 48.03/31.14 tff(655,plain,
% 48.03/31.14 (v100(constB4) | (~v101(constB4)) | (~v110(constB4))),
% 48.03/31.14 inference(unit_resolution,[status(thm)],[654, 318, 623])).
% 48.03/31.14 tff(656,plain,
% 48.03/31.14 (v100(constB4) | (~v110(constB4))),
% 48.03/31.14 inference(unit_resolution,[status(thm)],[655, 648])).
% 48.03/31.14 tff(657,plain,
% 48.03/31.14 (v100(constB4)),
% 48.03/31.14 inference(unit_resolution,[status(thm)],[656, 631])).
% 48.03/31.14 tff(658,plain,
% 48.03/31.14 (^[VarCurr: $i] : refl(((~v123(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ((~v123(VarCurr)) | v130(VarCurr, bitIndex1)))),
% 48.03/31.14 inference(bind,[status(th)],[])).
% 48.03/31.14 tff(659,plain,
% 48.03/31.14 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))),
% 48.03/31.14 inference(quant_intro,[status(thm)],[658])).
% 48.03/31.14 tff(660,plain,
% 48.03/31.14 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))),
% 48.03/31.14 inference(rewrite,[status(thm)],[])).
% 48.03/31.14 tff(661,plain,
% 48.03/31.14 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex1) | (~v123(VarCurr))) <=> ((~v123(VarCurr)) | v130(VarCurr, bitIndex1)))),
% 48.03/31.14 inference(bind,[status(th)],[])).
% 48.03/31.14 tff(662,plain,
% 48.03/31.14 (![VarCurr: $i] : (v130(VarCurr, bitIndex1) | (~v123(VarCurr))) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))),
% 48.03/31.14 inference(quant_intro,[status(thm)],[661])).
% 48.03/31.14 tff(663,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex1) | (~v123(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4_1_2')).
% 48.03/31.14 tff(664,plain,
% 48.03/31.14 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))),
% 48.03/31.14 inference(modus_ponens,[status(thm)],[663, 662])).
% 48.03/31.14 tff(665,plain,
% 48.03/31.14 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))),
% 48.03/31.14 inference(modus_ponens,[status(thm)],[664, 660])).
% 48.03/31.14 tff(666,plain,(
% 48.03/31.14 ![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))),
% 48.03/31.14 inference(skolemize,[status(sab)],[665])).
% 48.03/31.14 tff(667,plain,
% 48.03/31.14 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))),
% 48.03/31.14 inference(modus_ponens,[status(thm)],[666, 659])).
% 48.03/31.14 tff(668,plain,
% 48.03/31.14 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB3)) | v130(constB3, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB3)) | v130(constB3, bitIndex1))),
% 48.03/31.14 inference(rewrite,[status(thm)],[])).
% 48.03/31.14 tff(669,plain,
% 48.03/31.14 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB3)) | v130(constB3, bitIndex1))),
% 48.03/31.14 inference(quant_inst,[status(thm)],[])).
% 48.03/31.14 tff(670,plain,
% 48.03/31.14 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB3)) | v130(constB3, bitIndex1)),
% 48.03/31.14 inference(modus_ponens,[status(thm)],[669, 668])).
% 48.03/31.14 tff(671,plain,
% 48.03/31.14 (v130(constB3, bitIndex1)),
% 48.03/31.14 inference(unit_resolution,[status(thm)],[670, 667, 588])).
% 48.03/31.14 tff(672,plain,
% 48.03/31.14 (^[VarCurr: $i] : refl((v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1)))),
% 48.03/31.14 inference(bind,[status(th)],[])).
% 48.03/31.14 tff(673,plain,
% 48.03/31.14 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 48.03/31.14 inference(quant_intro,[status(thm)],[672])).
% 48.03/31.14 tff(674,plain,
% 48.03/31.14 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 48.03/31.14 inference(rewrite,[status(thm)],[])).
% 48.03/31.14 tff(675,plain,
% 48.03/31.14 (^[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))))),
% 48.03/31.14 inference(bind,[status(th)],[])).
% 48.03/31.14 tff(676,plain,
% 48.03/31.14 (![VarCurr: $i] : ((v127(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex1))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 48.03/31.14 inference(quant_intro,[status(thm)],[675])).
% 48.03/31.14 tff(677,axiom,(![VarCurr: $i] : ((v127(VarCurr, bitIndex1) | (~v130(VarCurr, bitIndex1))) | v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_3')).
% 48.03/31.14 tff(678,plain,
% 48.03/31.14 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 48.03/31.14 inference(modus_ponens,[status(thm)],[677, 676])).
% 48.03/31.14 tff(679,plain,
% 48.03/31.14 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 48.03/31.14 inference(modus_ponens,[status(thm)],[678, 674])).
% 48.03/31.14 tff(680,plain,(
% 48.03/31.14 ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 48.03/31.14 inference(skolemize,[status(sab)],[679])).
% 48.03/31.14 tff(681,plain,
% 48.03/31.14 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))),
% 48.03/31.14 inference(modus_ponens,[status(thm)],[680, 673])).
% 48.03/31.14 tff(682,plain,
% 48.03/31.14 (((~![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))),
% 48.03/31.14 inference(rewrite,[status(thm)],[])).
% 48.03/31.14 tff(683,plain,
% 48.03/31.14 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB3) | (~v130(constB3, bitIndex1)) | v127(constB3, bitIndex1))),
% 48.03/31.14 inference(quant_inst,[status(thm)],[])).
% 48.03/31.14 tff(684,plain,
% 48.03/31.14 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB3) | (~v130(constB3, bitIndex1)) | v127(constB3, bitIndex1)),
% 48.03/31.14 inference(modus_ponens,[status(thm)],[683, 682])).
% 48.03/31.14 tff(685,plain,
% 48.03/31.14 ((~v130(constB3, bitIndex1)) | v127(constB3, bitIndex1)),
% 48.03/31.14 inference(unit_resolution,[status(thm)],[684, 681, 611])).
% 48.03/31.14 tff(686,plain,
% 48.03/31.14 (v127(constB3, bitIndex1)),
% 48.03/31.14 inference(unit_resolution,[status(thm)],[685, 671])).
% 48.03/31.14 tff(687,plain,
% 48.03/31.14 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1)))),
% 48.03/31.14 inference(bind,[status(th)],[])).
% 48.03/31.14 tff(688,plain,
% 48.03/31.14 (![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))),
% 48.03/31.14 inference(quant_intro,[status(thm)],[687])).
% 48.03/31.14 tff(689,plain,
% 48.03/31.14 (![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))),
% 48.03/31.14 inference(rewrite,[status(thm)],[])).
% 48.03/31.14 tff(690,plain,
% 48.03/31.14 (^[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))))),
% 48.03/31.14 inference(bind,[status(th)],[])).
% 48.03/31.14 tff(691,plain,
% 48.03/31.14 (![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))),
% 48.03/31.14 inference(quant_intro,[status(thm)],[690])).
% 48.03/31.14 tff(692,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')).
% 48.03/31.14 tff(693,plain,
% 48.03/31.14 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 48.03/31.15 inference(modus_ponens,[status(thm)],[692, 691])).
% 48.03/31.15 tff(694,plain,
% 48.03/31.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 48.03/31.15 inference(modus_ponens,[status(thm)],[693, 689])).
% 48.03/31.15 tff(695,plain,(
% 48.03/31.15 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 48.03/31.15 inference(skolemize,[status(sab)],[694])).
% 48.03/31.15 tff(696,plain,
% 48.03/31.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))),
% 48.03/31.15 inference(modus_ponens,[status(thm)],[695, 688])).
% 48.03/31.15 tff(697,plain,
% 48.03/31.15 (((~![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))),
% 48.03/31.15 inference(rewrite,[status(thm)],[])).
% 48.03/31.15 tff(698,plain,
% 48.03/31.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB3, constB4)) | (~v127(constB3, bitIndex1)) | v129(constB4, bitIndex1))),
% 48.03/31.15 inference(quant_inst,[status(thm)],[])).
% 48.03/31.15 tff(699,plain,
% 48.03/31.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB3, constB4)) | (~v127(constB3, bitIndex1)) | v129(constB4, bitIndex1)),
% 48.03/31.15 inference(modus_ponens,[status(thm)],[698, 697])).
% 48.03/31.15 tff(700,plain,
% 48.03/31.15 ((~v127(constB3, bitIndex1)) | v129(constB4, bitIndex1)),
% 48.03/31.15 inference(unit_resolution,[status(thm)],[699, 696, 623])).
% 48.03/31.15 tff(701,plain,
% 48.03/31.15 (v129(constB4, bitIndex1)),
% 48.03/31.15 inference(unit_resolution,[status(thm)],[700, 686])).
% 48.03/31.15 tff(702,plain,
% 48.03/31.15 (^[VarNext: $i] : refl((v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1))) <=> (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1))))),
% 48.03/31.15 inference(bind,[status(th)],[])).
% 48.03/31.15 tff(703,plain,
% 48.03/31.15 (![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 48.03/31.15 inference(quant_intro,[status(thm)],[702])).
% 48.03/31.15 tff(704,plain,
% 48.03/31.15 (![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 48.03/31.15 inference(rewrite,[status(thm)],[])).
% 48.03/31.15 tff(705,plain,
% 48.03/31.15 (^[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)))))),
% 48.03/31.15 inference(bind,[status(th)],[])).
% 48.03/31.15 tff(706,plain,
% 48.03/31.15 (![VarNext: $i] : ((v90(VarNext, bitIndex1) | (~v129(VarNext, bitIndex1))) | (~v100(VarNext))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 48.03/31.15 inference(quant_intro,[status(thm)],[705])).
% 48.03/31.15 tff(707,axiom,(![VarNext: $i] : ((v90(VarNext, bitIndex1) | (~v129(VarNext, bitIndex1))) | (~v100(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_3')).
% 48.03/31.15 tff(708,plain,
% 48.03/31.15 (![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 48.03/31.15 inference(modus_ponens,[status(thm)],[707, 706])).
% 48.03/31.15 tff(709,plain,
% 48.03/31.15 (![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 48.03/31.15 inference(modus_ponens,[status(thm)],[708, 704])).
% 48.03/31.15 tff(710,plain,(
% 48.03/31.15 ![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 48.03/31.15 inference(skolemize,[status(sab)],[709])).
% 48.03/31.15 tff(711,plain,
% 48.03/31.15 (![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))),
% 48.03/31.15 inference(modus_ponens,[status(thm)],[710, 703])).
% 48.03/31.15 tff(712,plain,
% 48.03/31.15 (((~![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)))),
% 48.03/31.15 inference(rewrite,[status(thm)],[])).
% 48.03/31.15 tff(713,plain,
% 48.03/31.15 ((v90(constB4, bitIndex1) | (~v100(constB4)) | (~v129(constB4, bitIndex1))) <=> (v90(constB4, bitIndex1) | (~v129(constB4, bitIndex1)) | (~v100(constB4)))),
% 48.03/31.15 inference(rewrite,[status(thm)],[])).
% 48.03/31.15 tff(714,plain,
% 48.03/31.15 (((~![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))))),
% 48.03/31.15 inference(monotonicity,[status(thm)],[713])).
% 48.03/31.15 tff(715,plain,
% 48.03/31.15 (((~![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)))),
% 48.03/31.15 inference(transitivity,[status(thm)],[714, 712])).
% 48.03/31.15 tff(716,plain,
% 48.03/31.15 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB4, bitIndex1) | (~v100(constB4)) | (~v129(constB4, bitIndex1)))),
% 48.03/31.15 inference(quant_inst,[status(thm)],[])).
% 48.03/31.15 tff(717,plain,
% 48.03/31.15 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB4, bitIndex1) | (~v129(constB4, bitIndex1)) | (~v100(constB4))),
% 48.03/31.15 inference(modus_ponens,[status(thm)],[716, 715])).
% 48.03/31.15 tff(718,plain,
% 48.03/31.15 (v90(constB4, bitIndex1) | (~v100(constB4))),
% 48.03/31.15 inference(unit_resolution,[status(thm)],[717, 711, 701])).
% 48.03/31.15 tff(719,plain,
% 48.03/31.15 (v90(constB4, bitIndex1)),
% 48.03/31.15 inference(unit_resolution,[status(thm)],[718, 657])).
% 48.03/31.15 tff(720,plain,
% 48.03/31.15 ((~v1(constB5)) <=> (~v1(constB5))),
% 48.03/31.15 inference(rewrite,[status(thm)],[])).
% 48.03/31.15 tff(721,axiom,(~v1(constB5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_5_1_1')).
% 48.03/31.15 tff(722,plain,
% 48.03/31.15 (~v1(constB5)),
% 48.03/31.15 inference(modus_ponens,[status(thm)],[721, 720])).
% 48.03/31.15 tff(723,plain,
% 48.03/31.15 (nextState(constB4, constB5) <=> nextState(constB4, constB5)),
% 48.03/31.15 inference(rewrite,[status(thm)],[])).
% 48.03/31.15 tff(724,axiom,(nextState(constB4, constB5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_4_1')).
% 48.03/31.15 tff(725,plain,
% 48.03/31.15 (nextState(constB4, constB5)),
% 48.03/31.15 inference(modus_ponens,[status(thm)],[724, 723])).
% 48.03/31.15 tff(726,plain,
% 48.03/31.15 (((~![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)))),
% 48.03/31.15 inference(rewrite,[status(thm)],[])).
% 48.03/31.15 tff(727,plain,
% 48.03/31.15 (((~nextState(constB4, constB5)) | (~v101(constB5)) | v1(constB5)) <=> (v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5)))),
% 48.03/31.15 inference(rewrite,[status(thm)],[])).
% 48.03/31.15 tff(728,plain,
% 48.03/31.15 (((~![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))))),
% 48.03/31.15 inference(monotonicity,[status(thm)],[727])).
% 48.03/31.15 tff(729,plain,
% 48.03/31.15 (((~![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)))),
% 48.03/31.15 inference(transitivity,[status(thm)],[728, 726])).
% 48.03/31.15 tff(730,plain,
% 48.03/31.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB4, constB5)) | (~v101(constB5)) | v1(constB5))),
% 48.03/31.15 inference(quant_inst,[status(thm)],[])).
% 48.03/31.15 tff(731,plain,
% 48.03/31.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5))),
% 48.03/31.15 inference(modus_ponens,[status(thm)],[730, 729])).
% 48.03/31.15 tff(732,plain,
% 48.03/31.15 (~v101(constB5)),
% 48.03/31.15 inference(unit_resolution,[status(thm)],[731, 49, 725, 722])).
% 48.03/31.15 tff(733,plain,
% 48.03/31.15 (((~![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)))),
% 48.03/31.15 inference(rewrite,[status(thm)],[])).
% 48.03/31.15 tff(734,plain,
% 48.03/31.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB4, constB5)) | v101(constB5) | (~v100(constB5)))),
% 48.03/31.15 inference(quant_inst,[status(thm)],[])).
% 48.03/31.15 tff(735,plain,
% 48.03/31.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB4, constB5)) | v101(constB5) | (~v100(constB5))),
% 48.03/31.15 inference(modus_ponens,[status(thm)],[734, 733])).
% 48.03/31.15 tff(736,plain,
% 48.03/31.15 (v101(constB5) | (~v100(constB5))),
% 48.03/31.15 inference(unit_resolution,[status(thm)],[735, 66, 725])).
% 48.03/31.15 tff(737,plain,
% 48.03/31.15 (~v100(constB5)),
% 48.03/31.15 inference(unit_resolution,[status(thm)],[736, 732])).
% 48.03/31.15 tff(738,plain,
% 48.03/31.15 (^[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)))),
% 48.03/31.15 inference(bind,[status(th)],[])).
% 48.03/31.15 tff(739,plain,
% 48.03/31.15 (![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))),
% 48.03/31.15 inference(quant_intro,[status(thm)],[738])).
% 48.03/31.15 tff(740,plain,
% 48.03/31.15 (![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))),
% 48.03/31.15 inference(rewrite,[status(thm)],[])).
% 48.03/31.15 tff(741,plain,
% 48.03/31.15 (^[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))))),
% 48.03/31.15 inference(bind,[status(th)],[])).
% 48.03/31.15 tff(742,plain,
% 48.03/31.15 (![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))),
% 48.03/31.15 inference(quant_intro,[status(thm)],[741])).
% 48.03/31.15 tff(743,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')).
% 48.03/31.15 tff(744,plain,
% 48.03/31.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 48.03/31.15 inference(modus_ponens,[status(thm)],[743, 742])).
% 48.03/31.15 tff(745,plain,
% 48.03/31.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 48.03/31.15 inference(modus_ponens,[status(thm)],[744, 740])).
% 48.03/31.15 tff(746,plain,(
% 48.03/31.15 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 48.03/31.15 inference(skolemize,[status(sab)],[745])).
% 48.03/31.15 tff(747,plain,
% 48.03/31.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))),
% 48.03/31.15 inference(modus_ponens,[status(thm)],[746, 739])).
% 48.03/31.15 tff(748,plain,
% 48.03/31.15 (((~![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))),
% 48.03/31.15 inference(rewrite,[status(thm)],[])).
% 48.03/31.15 tff(749,plain,
% 48.03/31.15 (((~nextState(constB4, constB5)) | (~v90(constB4, bitIndex1)) | v100(constB5) | v90(constB5, bitIndex1)) <=> ((~v90(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex1))),
% 48.03/31.15 inference(rewrite,[status(thm)],[])).
% 48.03/31.15 tff(750,plain,
% 48.03/31.15 (((~![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)))),
% 48.03/31.15 inference(monotonicity,[status(thm)],[749])).
% 48.03/31.15 tff(751,plain,
% 48.03/31.15 (((~![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))),
% 48.03/31.15 inference(transitivity,[status(thm)],[750, 748])).
% 48.03/31.15 tff(752,plain,
% 48.03/31.15 ((~![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))),
% 48.03/31.15 inference(quant_inst,[status(thm)],[])).
% 48.03/31.15 tff(753,plain,
% 48.03/31.15 ((~![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)),
% 48.03/31.15 inference(modus_ponens,[status(thm)],[752, 751])).
% 48.03/31.15 tff(754,plain,
% 48.03/31.15 ((~v90(constB4, bitIndex1)) | v100(constB5) | v90(constB5, bitIndex1)),
% 48.03/31.15 inference(unit_resolution,[status(thm)],[753, 747, 725])).
% 48.03/31.15 tff(755,plain,
% 48.03/31.15 ((~v90(constB4, bitIndex1)) | v90(constB5, bitIndex1)),
% 48.03/31.15 inference(unit_resolution,[status(thm)],[754, 737])).
% 48.03/31.15 tff(756,plain,
% 48.03/31.15 (v90(constB5, bitIndex1)),
% 48.03/31.15 inference(unit_resolution,[status(thm)],[755, 719])).
% 48.03/31.15 tff(757,plain,
% 48.03/31.15 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr))) <=> ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr))))),
% 48.03/31.15 inference(bind,[status(th)],[])).
% 48.03/31.15 tff(758,plain,
% 48.03/31.15 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))),
% 48.03/31.15 inference(quant_intro,[status(thm)],[757])).
% 48.03/31.15 tff(759,plain,
% 48.03/31.15 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))),
% 48.03/31.15 inference(rewrite,[status(thm)],[])).
% 48.03/31.15 tff(760,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_4')).
% 48.03/31.15 tff(761,plain,
% 48.03/31.15 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))),
% 48.03/31.15 inference(modus_ponens,[status(thm)],[760, 759])).
% 48.03/31.15 tff(762,plain,(
% 48.03/31.15 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))),
% 48.03/31.15 inference(skolemize,[status(sab)],[761])).
% 48.03/31.15 tff(763,plain,
% 48.03/31.15 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))),
% 48.03/31.15 inference(modus_ponens,[status(thm)],[762, 758])).
% 48.03/31.15 tff(764,plain,
% 48.03/31.15 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB5, bitIndex1)) | (~v124(constB5)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB5, bitIndex1)) | (~v124(constB5)))),
% 48.03/31.15 inference(rewrite,[status(thm)],[])).
% 48.03/31.15 tff(765,plain,
% 48.03/31.15 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB5, bitIndex1)) | (~v124(constB5)))),
% 48.03/31.15 inference(quant_inst,[status(thm)],[])).
% 48.03/31.15 tff(766,plain,
% 48.03/31.15 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB5, bitIndex1)) | (~v124(constB5))),
% 48.03/31.15 inference(modus_ponens,[status(thm)],[765, 764])).
% 48.03/31.15 tff(767,plain,
% 48.03/31.15 (~v124(constB5)),
% 48.03/31.15 inference(unit_resolution,[status(thm)],[766, 763, 756])).
% 48.03/31.15 tff(768,plain,
% 48.03/31.15 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr))) <=> ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr))))),
% 48.03/31.15 inference(bind,[status(th)],[])).
% 48.03/31.15 tff(769,plain,
% 48.03/31.15 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))),
% 48.03/31.15 inference(quant_intro,[status(thm)],[768])).
% 48.03/31.15 tff(770,plain,
% 48.03/31.15 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))),
% 48.03/31.15 inference(rewrite,[status(thm)],[])).
% 48.03/31.15 tff(771,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6_1_1_3')).
% 48.03/31.15 tff(772,plain,
% 48.03/31.15 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))),
% 48.03/31.15 inference(modus_ponens,[status(thm)],[771, 770])).
% 48.03/31.15 tff(773,plain,(
% 48.03/31.15 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))),
% 48.03/31.15 inference(skolemize,[status(sab)],[772])).
% 48.03/31.15 tff(774,plain,
% 48.03/31.15 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))),
% 48.03/31.15 inference(modus_ponens,[status(thm)],[773, 769])).
% 48.03/31.15 tff(775,plain,
% 48.03/31.15 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB5, bitIndex1)) | (~v123(constB5)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB5, bitIndex1)) | (~v123(constB5)))),
% 48.03/31.15 inference(rewrite,[status(thm)],[])).
% 48.03/31.15 tff(776,plain,
% 48.03/31.15 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB5, bitIndex1)) | (~v123(constB5)))),
% 48.03/31.15 inference(quant_inst,[status(thm)],[])).
% 48.03/31.15 tff(777,plain,
% 48.03/31.15 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB5, bitIndex1)) | (~v123(constB5))),
% 48.03/31.15 inference(modus_ponens,[status(thm)],[776, 775])).
% 48.03/31.15 tff(778,plain,
% 48.03/31.15 (~v123(constB5)),
% 48.03/31.15 inference(unit_resolution,[status(thm)],[777, 774, 756])).
% 48.03/31.15 tff(779,assumption,(~v26(constB1)), introduced(assumption)).
% 48.03/31.15 tff(780,plain,
% 48.03/31.15 (v112(constB1)),
% 48.03/31.15 inference(unit_resolution,[status(thm)],[228, 779])).
% 48.03/31.15 tff(781,plain,
% 48.03/31.15 (v108(constB1)),
% 48.03/31.15 inference(unit_resolution,[status(thm)],[239, 236, 780])).
% 48.03/31.15 tff(782,plain,
% 48.03/31.15 (v110(constB2)),
% 48.03/31.15 inference(unit_resolution,[status(thm)],[260, 781])).
% 48.03/31.15 tff(783,plain,
% 48.03/31.15 (v100(constB2)),
% 48.03/31.15 inference(unit_resolution,[status(thm)],[326, 782])).
% 48.03/31.15 tff(784,plain,
% 48.03/31.15 (v127(constB1, bitIndex2)),
% 48.03/31.15 inference(unit_resolution,[status(thm)],[355, 779])).
% 48.03/31.15 tff(785,plain,
% 48.03/31.15 (v129(constB2, bitIndex2)),
% 48.03/31.15 inference(unit_resolution,[status(thm)],[370, 784])).
% 48.03/31.15 tff(786,plain,
% 48.03/31.15 (v90(constB2, bitIndex2) | (~v100(constB2))),
% 48.03/31.15 inference(unit_resolution,[status(thm)],[387, 381, 785])).
% 48.03/31.15 tff(787,plain,
% 48.03/31.15 (v90(constB2, bitIndex2)),
% 48.03/31.15 inference(unit_resolution,[status(thm)],[786, 783])).
% 48.03/31.15 tff(788,plain,
% 48.03/31.15 (v90(constB3, bitIndex2)),
% 48.03/31.15 inference(unit_resolution,[status(thm)],[425, 787])).
% 48.03/31.15 tff(789,plain,
% 48.03/31.15 (~v127(constB1, bitIndex1)),
% 48.03/31.15 inference(unit_resolution,[status(thm)],[457, 779])).
% 48.03/31.15 tff(790,plain,
% 48.03/31.15 (~v129(constB2, bitIndex1)),
% 48.03/31.15 inference(unit_resolution,[status(thm)],[472, 789])).
% 48.03/31.15 tff(791,plain,
% 48.03/31.15 ((~v90(constB2, bitIndex1)) | (~v100(constB2))),
% 48.03/31.15 inference(unit_resolution,[status(thm)],[489, 483, 790])).
% 48.03/31.15 tff(792,plain,
% 48.03/31.15 (~v90(constB2, bitIndex1)),
% 48.03/31.15 inference(unit_resolution,[status(thm)],[791, 783])).
% 48.03/31.15 tff(793,plain,
% 48.03/31.15 (~v90(constB3, bitIndex1)),
% 48.03/31.15 inference(unit_resolution,[status(thm)],[499, 792])).
% 48.03/31.15 tff(794,plain,
% 48.03/31.15 (~v127(constB1, bitIndex0)),
% 48.03/31.15 inference(unit_resolution,[status(thm)],[531, 779])).
% 48.03/31.15 tff(795,plain,
% 48.03/31.15 (~v129(constB2, bitIndex0)),
% 48.03/31.15 inference(unit_resolution,[status(thm)],[546, 794])).
% 48.03/31.15 tff(796,plain,
% 48.03/31.15 ((~v90(constB2, bitIndex0)) | (~v100(constB2))),
% 48.03/31.15 inference(unit_resolution,[status(thm)],[563, 557, 795])).
% 48.03/31.15 tff(797,plain,
% 48.03/31.15 (~v90(constB2, bitIndex0)),
% 48.03/31.15 inference(unit_resolution,[status(thm)],[796, 783])).
% 48.03/31.15 tff(798,plain,
% 48.03/31.15 (~v90(constB3, bitIndex0)),
% 48.03/31.15 inference(unit_resolution,[status(thm)],[573, 797])).
% 48.03/31.15 tff(799,plain,
% 48.03/31.15 (v123(constB3)),
% 48.03/31.15 inference(unit_resolution,[status(thm)],[587, 584, 798, 793, 788])).
% 48.03/31.15 tff(800,assumption,(~v90(constB4, bitIndex2)), introduced(assumption)).
% 48.03/31.15 tff(801,plain,
% 48.03/31.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB3, bitIndex2)) | (~nextState(constB3, constB4)) | v100(constB4) | v90(constB4, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB3, bitIndex2)) | (~nextState(constB3, constB4)) | v100(constB4) | v90(constB4, bitIndex2))),
% 48.03/31.15 inference(rewrite,[status(thm)],[])).
% 48.03/31.15 tff(802,plain,
% 48.03/31.15 (((~nextState(constB3, constB4)) | (~v90(constB3, bitIndex2)) | v100(constB4) | v90(constB4, bitIndex2)) <=> ((~v90(constB3, bitIndex2)) | (~nextState(constB3, constB4)) | v100(constB4) | v90(constB4, bitIndex2))),
% 48.03/31.15 inference(rewrite,[status(thm)],[])).
% 48.03/31.15 tff(803,plain,
% 48.03/31.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB3, constB4)) | (~v90(constB3, bitIndex2)) | v100(constB4) | v90(constB4, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB3, bitIndex2)) | (~nextState(constB3, constB4)) | v100(constB4) | v90(constB4, bitIndex2)))),
% 48.03/31.15 inference(monotonicity,[status(thm)],[802])).
% 48.03/31.15 tff(804,plain,
% 48.03/31.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB3, constB4)) | (~v90(constB3, bitIndex2)) | v100(constB4) | v90(constB4, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB3, bitIndex2)) | (~nextState(constB3, constB4)) | v100(constB4) | v90(constB4, bitIndex2))),
% 48.03/31.15 inference(transitivity,[status(thm)],[803, 801])).
% 48.03/31.15 tff(805,plain,
% 48.03/31.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB3, constB4)) | (~v90(constB3, bitIndex2)) | v100(constB4) | v90(constB4, bitIndex2))),
% 48.03/31.15 inference(quant_inst,[status(thm)],[])).
% 48.03/31.15 tff(806,plain,
% 48.03/31.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB3, bitIndex2)) | (~nextState(constB3, constB4)) | v100(constB4) | v90(constB4, bitIndex2)),
% 48.03/31.15 inference(modus_ponens,[status(thm)],[805, 804])).
% 48.03/31.15 tff(807,plain,
% 48.03/31.15 ((~v90(constB3, bitIndex2)) | v100(constB4) | v90(constB4, bitIndex2)),
% 48.03/31.15 inference(unit_resolution,[status(thm)],[806, 417, 623])).
% 48.03/31.15 tff(808,plain,
% 48.03/31.15 (v100(constB4)),
% 48.03/31.15 inference(unit_resolution,[status(thm)],[807, 788, 800])).
% 48.03/31.15 tff(809,plain,
% 48.03/31.15 (((~![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)))),
% 48.03/31.15 inference(rewrite,[status(thm)],[])).
% 48.03/31.15 tff(810,plain,
% 48.03/31.15 ((v90(constB4, bitIndex2) | (~v100(constB4)) | (~v129(constB4, bitIndex2))) <=> (v90(constB4, bitIndex2) | (~v129(constB4, bitIndex2)) | (~v100(constB4)))),
% 48.03/31.15 inference(rewrite,[status(thm)],[])).
% 48.03/31.15 tff(811,plain,
% 48.03/31.15 (((~![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))))),
% 48.03/31.15 inference(monotonicity,[status(thm)],[810])).
% 48.03/31.15 tff(812,plain,
% 48.03/31.15 (((~![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)))),
% 48.03/31.15 inference(transitivity,[status(thm)],[811, 809])).
% 48.03/31.15 tff(813,plain,
% 48.03/31.15 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB4, bitIndex2) | (~v100(constB4)) | (~v129(constB4, bitIndex2)))),
% 48.03/31.15 inference(quant_inst,[status(thm)],[])).
% 48.03/31.15 tff(814,plain,
% 48.03/31.15 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB4, bitIndex2) | (~v129(constB4, bitIndex2)) | (~v100(constB4))),
% 48.03/31.15 inference(modus_ponens,[status(thm)],[813, 812])).
% 48.03/31.15 tff(815,plain,
% 48.03/31.15 ((~v129(constB4, bitIndex2)) | (~v100(constB4))),
% 48.03/31.15 inference(unit_resolution,[status(thm)],[814, 381, 800])).
% 48.03/31.15 tff(816,plain,
% 48.03/31.15 (~v129(constB4, bitIndex2)),
% 48.03/31.15 inference(unit_resolution,[status(thm)],[815, 808])).
% 48.03/31.15 tff(817,plain,
% 48.03/31.15 (((~![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))),
% 48.03/31.15 inference(rewrite,[status(thm)],[])).
% 48.03/31.15 tff(818,plain,
% 48.03/31.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB3, constB4)) | (~v127(constB3, bitIndex2)) | v129(constB4, bitIndex2))),
% 48.03/31.15 inference(quant_inst,[status(thm)],[])).
% 48.03/31.15 tff(819,plain,
% 48.03/31.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB3, constB4)) | (~v127(constB3, bitIndex2)) | v129(constB4, bitIndex2)),
% 48.03/31.15 inference(modus_ponens,[status(thm)],[818, 817])).
% 48.03/31.15 tff(820,plain,
% 48.03/31.15 ((~v127(constB3, bitIndex2)) | v129(constB4, bitIndex2)),
% 48.03/31.15 inference(unit_resolution,[status(thm)],[819, 366, 623])).
% 48.03/31.15 tff(821,plain,
% 48.03/31.15 (~v127(constB3, bitIndex2)),
% 48.03/31.15 inference(unit_resolution,[status(thm)],[820, 816])).
% 48.03/31.15 tff(822,plain,
% 48.03/31.15 (((~![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))) | v26(constB3) | (~v130(constB3, bitIndex2)) | v127(constB3, bitIndex2))),
% 48.03/31.15 inference(rewrite,[status(thm)],[])).
% 48.03/31.15 tff(823,plain,
% 48.03/31.15 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB3) | (~v130(constB3, bitIndex2)) | v127(constB3, bitIndex2))),
% 48.03/31.15 inference(quant_inst,[status(thm)],[])).
% 48.03/31.15 tff(824,plain,
% 48.03/31.15 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB3) | (~v130(constB3, bitIndex2)) | v127(constB3, bitIndex2)),
% 48.03/31.15 inference(modus_ponens,[status(thm)],[823, 822])).
% 48.03/31.15 tff(825,plain,
% 48.03/31.15 ((~v130(constB3, bitIndex2)) | v127(constB3, bitIndex2)),
% 48.03/31.15 inference(unit_resolution,[status(thm)],[824, 351, 611])).
% 48.03/31.15 tff(826,plain,
% 48.03/31.15 (~v130(constB3, bitIndex2)),
% 48.03/31.15 inference(unit_resolution,[status(thm)],[825, 821])).
% 48.03/31.15 tff(827,plain,
% 48.03/31.15 (^[VarCurr: $i] : refl(((~v123(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ((~v123(VarCurr)) | v130(VarCurr, bitIndex2)))),
% 48.03/31.15 inference(bind,[status(th)],[])).
% 48.03/31.15 tff(828,plain,
% 48.03/31.15 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 48.03/31.15 inference(quant_intro,[status(thm)],[827])).
% 48.03/31.15 tff(829,plain,
% 48.03/31.15 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 48.03/31.15 inference(rewrite,[status(thm)],[])).
% 48.03/31.15 tff(830,plain,
% 48.03/31.15 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex2) | (~v123(VarCurr))) <=> ((~v123(VarCurr)) | v130(VarCurr, bitIndex2)))),
% 48.03/31.15 inference(bind,[status(th)],[])).
% 48.03/31.15 tff(831,plain,
% 48.03/31.15 (![VarCurr: $i] : (v130(VarCurr, bitIndex2) | (~v123(VarCurr))) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 48.03/31.15 inference(quant_intro,[status(thm)],[830])).
% 48.03/31.15 tff(832,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex2) | (~v123(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4_1_3')).
% 48.03/31.15 tff(833,plain,
% 48.03/31.15 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 48.03/31.15 inference(modus_ponens,[status(thm)],[832, 831])).
% 48.03/31.15 tff(834,plain,
% 48.03/31.15 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 48.03/31.15 inference(modus_ponens,[status(thm)],[833, 829])).
% 48.03/31.15 tff(835,plain,(
% 48.03/31.15 ![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 48.03/31.15 inference(skolemize,[status(sab)],[834])).
% 48.03/31.15 tff(836,plain,
% 48.03/31.15 (![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))),
% 48.03/31.15 inference(modus_ponens,[status(thm)],[835, 828])).
% 48.03/31.15 tff(837,plain,
% 48.03/31.15 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB3)) | v130(constB3, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB3)) | v130(constB3, bitIndex2))),
% 48.03/31.15 inference(rewrite,[status(thm)],[])).
% 48.03/31.15 tff(838,plain,
% 48.03/31.15 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB3)) | v130(constB3, bitIndex2))),
% 48.03/31.15 inference(quant_inst,[status(thm)],[])).
% 48.03/31.15 tff(839,plain,
% 48.03/31.15 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB3)) | v130(constB3, bitIndex2)),
% 48.03/31.15 inference(modus_ponens,[status(thm)],[838, 837])).
% 48.03/31.15 tff(840,plain,
% 48.03/31.15 ($false),
% 48.03/31.15 inference(unit_resolution,[status(thm)],[839, 836, 826, 799])).
% 48.03/31.15 tff(841,plain,(v26(constB1) | v90(constB4, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 48.03/31.15 tff(842,plain,
% 48.03/31.15 (v90(constB4, bitIndex2)),
% 48.03/31.15 inference(unit_resolution,[status(thm)],[841, 33])).
% 48.03/31.15 tff(843,plain,
% 48.03/31.15 (((~![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))),
% 48.03/31.15 inference(rewrite,[status(thm)],[])).
% 48.03/31.15 tff(844,plain,
% 48.03/31.15 (((~nextState(constB4, constB5)) | (~v90(constB4, bitIndex2)) | v100(constB5) | v90(constB5, bitIndex2)) <=> ((~v90(constB4, bitIndex2)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, bitIndex2))),
% 48.03/31.15 inference(rewrite,[status(thm)],[])).
% 48.03/31.15 tff(845,plain,
% 48.03/31.15 (((~![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)))),
% 48.03/31.15 inference(monotonicity,[status(thm)],[844])).
% 48.03/31.15 tff(846,plain,
% 48.03/31.15 (((~![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))),
% 48.03/31.15 inference(transitivity,[status(thm)],[845, 843])).
% 48.03/31.15 tff(847,plain,
% 48.03/31.15 ((~![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))),
% 48.03/31.16 inference(quant_inst,[status(thm)],[])).
% 48.03/31.16 tff(848,plain,
% 48.03/31.16 ((~![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)),
% 48.03/31.16 inference(modus_ponens,[status(thm)],[847, 846])).
% 48.03/31.16 tff(849,plain,
% 48.03/31.16 ((~v90(constB4, bitIndex2)) | v100(constB5) | v90(constB5, bitIndex2)),
% 48.03/31.16 inference(unit_resolution,[status(thm)],[848, 417, 725])).
% 48.03/31.16 tff(850,plain,
% 48.03/31.16 ((~v90(constB4, bitIndex2)) | v90(constB5, bitIndex2)),
% 48.03/31.16 inference(unit_resolution,[status(thm)],[849, 737])).
% 48.03/31.16 tff(851,plain,
% 48.03/31.16 (v90(constB5, bitIndex2)),
% 48.03/31.16 inference(unit_resolution,[status(thm)],[850, 842])).
% 48.03/31.16 tff(852,plain,
% 48.03/31.16 (^[VarCurr: $i] : refl(((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2))) <=> ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2))))),
% 48.03/31.16 inference(bind,[status(th)],[])).
% 48.03/31.16 tff(853,plain,
% 48.03/31.16 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 48.03/31.16 inference(quant_intro,[status(thm)],[852])).
% 48.03/31.16 tff(854,plain,
% 48.03/31.16 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 48.03/31.16 inference(rewrite,[status(thm)],[])).
% 48.03/31.16 tff(855,plain,
% 48.03/31.16 (^[VarCurr: $i] : rewrite(((~v90(VarCurr, bitIndex2)) | (~v119(VarCurr))) <=> ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2))))),
% 48.03/31.16 inference(bind,[status(th)],[])).
% 48.03/31.16 tff(856,plain,
% 48.03/31.16 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v119(VarCurr))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 48.03/31.16 inference(quant_intro,[status(thm)],[855])).
% 48.03/31.16 tff(857,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v119(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_2')).
% 48.03/31.16 tff(858,plain,
% 48.03/31.16 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 48.03/31.16 inference(modus_ponens,[status(thm)],[857, 856])).
% 48.03/31.16 tff(859,plain,
% 48.03/31.16 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 48.03/31.16 inference(modus_ponens,[status(thm)],[858, 854])).
% 48.03/31.16 tff(860,plain,(
% 48.03/31.16 ![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 48.03/31.16 inference(skolemize,[status(sab)],[859])).
% 48.03/31.16 tff(861,plain,
% 48.03/31.16 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))),
% 48.03/31.16 inference(modus_ponens,[status(thm)],[860, 853])).
% 48.03/31.16 tff(862,plain,
% 48.03/31.16 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB5)) | (~v90(constB5, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB5)) | (~v90(constB5, bitIndex2)))),
% 48.03/31.16 inference(rewrite,[status(thm)],[])).
% 48.03/31.16 tff(863,plain,
% 48.03/31.16 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB5)) | (~v90(constB5, bitIndex2)))),
% 48.03/31.16 inference(quant_inst,[status(thm)],[])).
% 48.03/31.16 tff(864,plain,
% 48.03/31.16 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB5)) | (~v90(constB5, bitIndex2))),
% 48.03/31.16 inference(modus_ponens,[status(thm)],[863, 862])).
% 48.03/31.16 tff(865,plain,
% 48.03/31.16 (~v119(constB5)),
% 48.03/31.16 inference(unit_resolution,[status(thm)],[864, 861, 851])).
% 48.03/31.16 tff(866,plain,
% 48.03/31.16 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr))) <=> ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr))))),
% 48.03/31.16 inference(bind,[status(th)],[])).
% 48.03/31.16 tff(867,plain,
% 48.03/31.16 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))),
% 48.03/31.16 inference(quant_intro,[status(thm)],[866])).
% 48.03/31.16 tff(868,plain,
% 48.03/31.16 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))),
% 48.03/31.16 inference(rewrite,[status(thm)],[])).
% 48.03/31.16 tff(869,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3_1_1_3')).
% 48.03/31.16 tff(870,plain,
% 48.03/31.16 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))),
% 48.03/31.16 inference(modus_ponens,[status(thm)],[869, 868])).
% 48.03/31.16 tff(871,plain,(
% 48.03/31.16 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))),
% 48.03/31.16 inference(skolemize,[status(sab)],[870])).
% 48.03/31.16 tff(872,plain,
% 48.03/31.16 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))),
% 48.03/31.16 inference(modus_ponens,[status(thm)],[871, 867])).
% 48.03/31.16 tff(873,plain,
% 48.03/31.16 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | ((~v90(constB5, bitIndex2)) | (~v120(constB5)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | (~v90(constB5, bitIndex2)) | (~v120(constB5)))),
% 48.03/31.16 inference(rewrite,[status(thm)],[])).
% 48.03/31.16 tff(874,plain,
% 48.03/31.16 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | ((~v90(constB5, bitIndex2)) | (~v120(constB5)))),
% 48.03/31.16 inference(quant_inst,[status(thm)],[])).
% 48.03/31.16 tff(875,plain,
% 48.03/31.16 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | (~v90(constB5, bitIndex2)) | (~v120(constB5))),
% 48.03/31.16 inference(modus_ponens,[status(thm)],[874, 873])).
% 48.03/31.16 tff(876,plain,
% 48.03/31.16 (~v120(constB5)),
% 48.03/31.16 inference(unit_resolution,[status(thm)],[875, 872, 851])).
% 48.03/31.16 tff(877,plain,
% 48.03/31.16 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr))) <=> ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr))))),
% 48.03/31.16 inference(bind,[status(th)],[])).
% 48.03/31.16 tff(878,plain,
% 48.03/31.16 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))),
% 48.03/31.16 inference(quant_intro,[status(thm)],[877])).
% 48.03/31.16 tff(879,plain,
% 48.03/31.16 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))),
% 48.03/31.16 inference(rewrite,[status(thm)],[])).
% 48.03/31.16 tff(880,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_3')).
% 48.03/31.16 tff(881,plain,
% 48.03/31.16 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))),
% 48.03/31.16 inference(modus_ponens,[status(thm)],[880, 879])).
% 48.03/31.16 tff(882,plain,(
% 48.03/31.16 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))),
% 48.03/31.16 inference(skolemize,[status(sab)],[881])).
% 48.03/31.16 tff(883,plain,
% 48.03/31.16 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))),
% 48.03/31.16 inference(modus_ponens,[status(thm)],[882, 878])).
% 48.03/31.16 tff(884,plain,
% 48.03/31.16 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB5, bitIndex2)) | (~v121(constB5)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB5, bitIndex2)) | (~v121(constB5)))),
% 48.03/31.16 inference(rewrite,[status(thm)],[])).
% 48.03/31.16 tff(885,plain,
% 48.03/31.16 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB5, bitIndex2)) | (~v121(constB5)))),
% 48.03/31.16 inference(quant_inst,[status(thm)],[])).
% 48.03/31.16 tff(886,plain,
% 48.03/31.16 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB5, bitIndex2)) | (~v121(constB5))),
% 48.03/31.16 inference(modus_ponens,[status(thm)],[885, 884])).
% 48.03/31.16 tff(887,plain,
% 48.03/31.16 (~v121(constB5)),
% 48.03/31.16 inference(unit_resolution,[status(thm)],[886, 883, 851])).
% 48.03/31.16 tff(888,plain,
% 48.03/31.16 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr))) <=> ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr))))),
% 48.03/31.16 inference(bind,[status(th)],[])).
% 48.03/31.16 tff(889,plain,
% 48.03/31.16 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))),
% 48.03/31.16 inference(quant_intro,[status(thm)],[888])).
% 48.03/31.16 tff(890,plain,
% 48.03/31.16 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))),
% 48.03/31.16 inference(rewrite,[status(thm)],[])).
% 48.03/31.16 tff(891,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_4')).
% 48.03/31.16 tff(892,plain,
% 48.03/31.16 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))),
% 48.03/31.16 inference(modus_ponens,[status(thm)],[891, 890])).
% 48.03/31.16 tff(893,plain,(
% 48.03/31.16 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))),
% 48.03/31.16 inference(skolemize,[status(sab)],[892])).
% 48.03/31.16 tff(894,plain,
% 48.03/31.16 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))),
% 48.03/31.16 inference(modus_ponens,[status(thm)],[893, 889])).
% 48.03/31.16 tff(895,plain,
% 48.03/31.16 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB5, bitIndex2)) | (~v122(constB5)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB5, bitIndex2)) | (~v122(constB5)))),
% 48.03/31.16 inference(rewrite,[status(thm)],[])).
% 48.03/31.16 tff(896,plain,
% 48.03/31.16 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB5, bitIndex2)) | (~v122(constB5)))),
% 48.03/31.16 inference(quant_inst,[status(thm)],[])).
% 48.03/31.16 tff(897,plain,
% 48.03/31.16 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB5, bitIndex2)) | (~v122(constB5))),
% 48.03/31.16 inference(modus_ponens,[status(thm)],[896, 895])).
% 48.03/31.16 tff(898,plain,
% 48.03/31.16 (~v122(constB5)),
% 48.03/31.16 inference(unit_resolution,[status(thm)],[897, 894, 851])).
% 48.03/31.16 tff(899,plain,
% 48.03/31.16 (^[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)))),
% 48.03/31.16 inference(bind,[status(th)],[])).
% 48.03/31.16 tff(900,plain,
% 48.03/31.16 (![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))),
% 48.03/31.16 inference(quant_intro,[status(thm)],[899])).
% 48.03/31.16 tff(901,plain,
% 48.03/31.16 (![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))),
% 48.03/31.16 inference(rewrite,[status(thm)],[])).
% 48.03/31.16 tff(902,plain,
% 48.03/31.16 (^[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))))),
% 48.03/31.16 inference(bind,[status(th)],[])).
% 48.03/31.16 tff(903,plain,
% 48.03/31.16 (![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))),
% 48.03/31.16 inference(quant_intro,[status(thm)],[902])).
% 48.03/31.16 tff(904,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')).
% 48.03/31.16 tff(905,plain,
% 48.03/31.16 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 48.03/31.16 inference(modus_ponens,[status(thm)],[904, 903])).
% 48.03/31.16 tff(906,plain,
% 48.03/31.16 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 48.03/31.16 inference(modus_ponens,[status(thm)],[905, 901])).
% 48.03/31.16 tff(907,plain,(
% 48.03/31.16 ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 48.03/31.16 inference(skolemize,[status(sab)],[906])).
% 48.03/31.16 tff(908,plain,
% 48.03/31.16 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))),
% 48.03/31.16 inference(modus_ponens,[status(thm)],[907, 900])).
% 48.03/31.16 tff(909,plain,
% 48.03/31.16 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB5) | v123(constB5) | v122(constB5) | v121(constB5) | v120(constB5) | v119(constB5) | v130(constB5, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB5) | v123(constB5) | v122(constB5) | v121(constB5) | v120(constB5) | v119(constB5) | v130(constB5, bitIndex0))),
% 48.03/31.16 inference(rewrite,[status(thm)],[])).
% 48.03/31.16 tff(910,plain,
% 48.03/31.16 ((v120(constB5) | v119(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | v130(constB5, bitIndex0)) <=> (v124(constB5) | v123(constB5) | v122(constB5) | v121(constB5) | v120(constB5) | v119(constB5) | v130(constB5, bitIndex0))),
% 48.03/31.16 inference(rewrite,[status(thm)],[])).
% 48.03/31.16 tff(911,plain,
% 48.03/31.16 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB5) | v119(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | v130(constB5, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB5) | v123(constB5) | v122(constB5) | v121(constB5) | v120(constB5) | v119(constB5) | v130(constB5, bitIndex0)))),
% 48.03/31.16 inference(monotonicity,[status(thm)],[910])).
% 48.03/31.16 tff(912,plain,
% 48.03/31.16 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB5) | v119(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | v130(constB5, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB5) | v123(constB5) | v122(constB5) | v121(constB5) | v120(constB5) | v119(constB5) | v130(constB5, bitIndex0))),
% 48.03/31.16 inference(transitivity,[status(thm)],[911, 909])).
% 48.03/31.16 tff(913,plain,
% 48.03/31.16 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB5) | v119(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | v130(constB5, bitIndex0))),
% 48.03/31.16 inference(quant_inst,[status(thm)],[])).
% 48.03/31.16 tff(914,plain,
% 48.03/31.16 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB5) | v123(constB5) | v122(constB5) | v121(constB5) | v120(constB5) | v119(constB5) | v130(constB5, bitIndex0)),
% 48.03/31.16 inference(modus_ponens,[status(thm)],[913, 912])).
% 48.03/31.16 tff(915,plain,
% 48.03/31.16 (v124(constB5) | v123(constB5) | v130(constB5, bitIndex0)),
% 48.03/31.16 inference(unit_resolution,[status(thm)],[914, 908, 898, 887, 876, 865])).
% 48.03/31.16 tff(916,plain,
% 48.03/31.16 (v130(constB5, bitIndex0)),
% 48.03/31.16 inference(unit_resolution,[status(thm)],[915, 778, 767])).
% 48.03/31.16 tff(917,plain,
% 48.03/31.16 (^[VarCurr: $i] : refl((v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0)) <=> (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0)))),
% 48.03/31.16 inference(bind,[status(th)],[])).
% 48.03/31.16 tff(918,plain,
% 48.03/31.16 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 48.03/31.16 inference(quant_intro,[status(thm)],[917])).
% 48.03/31.16 tff(919,plain,
% 48.03/31.16 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 48.03/31.16 inference(rewrite,[status(thm)],[])).
% 48.03/31.16 tff(920,plain,
% 48.03/31.16 (^[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))))),
% 48.03/31.16 inference(bind,[status(th)],[])).
% 48.03/31.16 tff(921,plain,
% 48.03/31.16 (![VarCurr: $i] : ((v127(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex0))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 48.03/31.16 inference(quant_intro,[status(thm)],[920])).
% 48.03/31.16 tff(922,axiom,(![VarCurr: $i] : ((v127(VarCurr, bitIndex0) | (~v130(VarCurr, bitIndex0))) | v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_1')).
% 48.03/31.16 tff(923,plain,
% 48.03/31.16 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 48.03/31.16 inference(modus_ponens,[status(thm)],[922, 921])).
% 48.03/31.16 tff(924,plain,
% 48.03/31.16 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 48.03/31.16 inference(modus_ponens,[status(thm)],[923, 919])).
% 48.03/31.16 tff(925,plain,(
% 48.03/31.16 ![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 48.03/31.16 inference(skolemize,[status(sab)],[924])).
% 48.03/31.16 tff(926,plain,
% 48.03/31.16 (![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))),
% 48.03/31.16 inference(modus_ponens,[status(thm)],[925, 918])).
% 48.03/31.16 tff(927,plain,
% 48.03/31.16 (((~![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))),
% 48.03/31.16 inference(rewrite,[status(thm)],[])).
% 48.03/31.16 tff(928,plain,
% 48.03/31.16 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB5) | (~v130(constB5, bitIndex0)) | v127(constB5, bitIndex0))),
% 48.03/31.16 inference(quant_inst,[status(thm)],[])).
% 48.03/31.16 tff(929,plain,
% 48.03/31.16 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB5) | (~v130(constB5, bitIndex0)) | v127(constB5, bitIndex0)),
% 48.03/31.16 inference(modus_ponens,[status(thm)],[928, 927])).
% 48.03/31.16 tff(930,plain,
% 48.03/31.16 (v26(constB5) | v127(constB5, bitIndex0)),
% 48.03/31.16 inference(unit_resolution,[status(thm)],[929, 926, 916])).
% 48.03/31.16 tff(931,plain,
% 48.03/31.16 (v127(constB5, bitIndex0)),
% 48.03/31.16 inference(unit_resolution,[status(thm)],[930, 29])).
% 48.03/31.16 tff(932,plain,
% 48.03/31.16 (nextState(constB5, constB6) <=> nextState(constB5, constB6)),
% 48.03/31.16 inference(rewrite,[status(thm)],[])).
% 48.03/31.16 tff(933,axiom,(nextState(constB5, constB6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_5_1')).
% 48.03/31.16 tff(934,plain,
% 48.03/31.16 (nextState(constB5, constB6)),
% 48.03/31.16 inference(modus_ponens,[status(thm)],[933, 932])).
% 48.03/31.16 tff(935,plain,
% 48.03/31.16 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0)))),
% 48.03/31.16 inference(bind,[status(th)],[])).
% 48.03/31.16 tff(936,plain,
% 48.03/31.16 (![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))),
% 48.03/31.16 inference(quant_intro,[status(thm)],[935])).
% 48.03/31.16 tff(937,plain,
% 48.03/31.16 (![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))),
% 48.03/31.16 inference(rewrite,[status(thm)],[])).
% 48.03/31.16 tff(938,plain,
% 48.03/31.16 (^[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))))),
% 48.03/31.16 inference(bind,[status(th)],[])).
% 48.03/31.16 tff(939,plain,
% 48.03/31.16 (![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))),
% 48.03/31.16 inference(quant_intro,[status(thm)],[938])).
% 48.03/31.16 tff(940,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')).
% 48.03/31.16 tff(941,plain,
% 48.03/31.16 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 48.03/31.16 inference(modus_ponens,[status(thm)],[940, 939])).
% 48.03/31.16 tff(942,plain,
% 48.03/31.16 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 48.03/31.16 inference(modus_ponens,[status(thm)],[941, 937])).
% 48.03/31.16 tff(943,plain,(
% 48.03/31.16 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 48.03/31.16 inference(skolemize,[status(sab)],[942])).
% 48.03/31.16 tff(944,plain,
% 48.03/31.16 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))),
% 48.03/31.16 inference(modus_ponens,[status(thm)],[943, 936])).
% 48.03/31.16 tff(945,plain,
% 48.03/31.16 (((~![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))),
% 48.03/31.16 inference(rewrite,[status(thm)],[])).
% 48.03/31.16 tff(946,plain,
% 48.03/31.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB5, constB6)) | (~v127(constB5, bitIndex0)) | v129(constB6, bitIndex0))),
% 48.03/31.16 inference(quant_inst,[status(thm)],[])).
% 48.03/31.16 tff(947,plain,
% 48.03/31.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB5, constB6)) | (~v127(constB5, bitIndex0)) | v129(constB6, bitIndex0)),
% 48.03/31.16 inference(modus_ponens,[status(thm)],[946, 945])).
% 48.03/31.16 tff(948,plain,
% 48.03/31.16 ((~v127(constB5, bitIndex0)) | v129(constB6, bitIndex0)),
% 48.03/31.16 inference(unit_resolution,[status(thm)],[947, 944, 934])).
% 48.03/31.16 tff(949,plain,
% 48.03/31.16 (v129(constB6, bitIndex0)),
% 48.03/31.16 inference(unit_resolution,[status(thm)],[948, 931])).
% 48.03/31.16 tff(950,assumption,(~v108(constB5)), introduced(assumption)).
% 48.03/31.16 tff(951,plain,
% 48.03/31.16 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB5) | (~v112(constB5)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB5) | (~v112(constB5)))),
% 48.03/31.16 inference(rewrite,[status(thm)],[])).
% 48.03/31.16 tff(952,plain,
% 48.03/31.16 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB5) | (~v112(constB5)))),
% 48.03/31.16 inference(quant_inst,[status(thm)],[])).
% 48.03/31.16 tff(953,plain,
% 48.03/31.16 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB5) | (~v112(constB5))),
% 48.03/31.16 inference(modus_ponens,[status(thm)],[952, 951])).
% 48.03/31.16 tff(954,plain,
% 48.03/31.16 (~v112(constB5)),
% 48.03/31.16 inference(unit_resolution,[status(thm)],[953, 236, 950])).
% 48.03/31.16 tff(955,plain,
% 48.03/31.16 (^[VarCurr: $i] : refl((v108(VarCurr) | (~v26(VarCurr))) <=> (v108(VarCurr) | (~v26(VarCurr))))),
% 48.03/31.16 inference(bind,[status(th)],[])).
% 48.03/31.16 tff(956,plain,
% 48.03/31.16 (![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))),
% 48.03/31.16 inference(quant_intro,[status(thm)],[955])).
% 48.03/31.16 tff(957,plain,
% 48.03/31.16 (![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))),
% 48.03/31.16 inference(rewrite,[status(thm)],[])).
% 48.03/31.16 tff(958,axiom,(![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_26_1_1_2')).
% 48.03/31.16 tff(959,plain,
% 48.03/31.16 (![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))),
% 48.03/31.16 inference(modus_ponens,[status(thm)],[958, 957])).
% 48.03/31.16 tff(960,plain,(
% 48.03/31.16 ![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))),
% 48.03/31.16 inference(skolemize,[status(sab)],[959])).
% 48.03/31.16 tff(961,plain,
% 48.03/31.16 (![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))),
% 48.03/31.16 inference(modus_ponens,[status(thm)],[960, 956])).
% 48.03/31.16 tff(962,plain,
% 48.03/31.16 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB5) | (~v26(constB5)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB5) | (~v26(constB5)))),
% 48.03/31.16 inference(rewrite,[status(thm)],[])).
% 48.03/31.16 tff(963,plain,
% 48.03/31.16 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB5) | (~v26(constB5)))),
% 48.03/31.16 inference(quant_inst,[status(thm)],[])).
% 48.03/31.16 tff(964,plain,
% 48.03/31.16 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB5) | (~v26(constB5))),
% 48.03/31.16 inference(modus_ponens,[status(thm)],[963, 962])).
% 48.03/31.16 tff(965,plain,
% 48.03/31.16 (~v26(constB5)),
% 48.03/31.16 inference(unit_resolution,[status(thm)],[964, 961, 950])).
% 48.03/31.16 tff(966,plain,
% 48.03/31.16 (^[VarCurr: $i] : refl(((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0))))),
% 48.03/31.16 inference(bind,[status(th)],[])).
% 48.03/31.16 tff(967,plain,
% 48.03/31.16 (![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 48.03/31.16 inference(quant_intro,[status(thm)],[966])).
% 48.03/31.16 tff(968,plain,
% 48.03/31.16 (![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 48.03/31.16 inference(rewrite,[status(thm)],[])).
% 48.03/31.16 tff(969,plain,
% 48.03/31.16 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex0)) | (~v123(VarCurr))) <=> ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0))))),
% 48.03/31.16 inference(bind,[status(th)],[])).
% 48.03/31.16 tff(970,plain,
% 48.03/31.16 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex0)) | (~v123(VarCurr))) <=> ![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 48.03/31.16 inference(quant_intro,[status(thm)],[969])).
% 48.03/31.16 tff(971,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex0)) | (~v123(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4_1_1')).
% 48.03/31.16 tff(972,plain,
% 48.03/31.16 (![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 48.03/31.16 inference(modus_ponens,[status(thm)],[971, 970])).
% 48.03/31.16 tff(973,plain,
% 48.03/31.16 (![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 48.03/31.16 inference(modus_ponens,[status(thm)],[972, 968])).
% 48.03/31.16 tff(974,plain,(
% 48.03/31.16 ![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 48.03/31.16 inference(skolemize,[status(sab)],[973])).
% 48.03/31.16 tff(975,plain,
% 48.03/31.16 (![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 48.03/31.16 inference(modus_ponens,[status(thm)],[974, 967])).
% 48.03/31.16 tff(976,plain,
% 48.03/31.16 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB3)) | (~v130(constB3, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB3)) | (~v130(constB3, bitIndex0)))),
% 48.03/31.16 inference(rewrite,[status(thm)],[])).
% 48.03/31.16 tff(977,plain,
% 48.03/31.16 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB3)) | (~v130(constB3, bitIndex0)))),
% 48.03/31.16 inference(quant_inst,[status(thm)],[])).
% 48.03/31.16 tff(978,plain,
% 48.03/31.16 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB3)) | (~v130(constB3, bitIndex0))),
% 48.03/31.16 inference(modus_ponens,[status(thm)],[977, 976])).
% 48.03/31.16 tff(979,plain,
% 48.03/31.16 (~v130(constB3, bitIndex0)),
% 48.03/31.16 inference(unit_resolution,[status(thm)],[978, 975, 588])).
% 48.03/31.16 tff(980,plain,
% 48.03/31.16 (((~![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))),
% 48.03/31.16 inference(rewrite,[status(thm)],[])).
% 48.03/31.16 tff(981,plain,
% 48.03/31.16 ((v26(constB3) | v130(constB3, bitIndex0) | (~v127(constB3, bitIndex0))) <=> ((~v127(constB3, bitIndex0)) | v26(constB3) | v130(constB3, bitIndex0))),
% 48.03/31.16 inference(rewrite,[status(thm)],[])).
% 48.03/31.16 tff(982,plain,
% 48.03/31.16 (((~![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)))),
% 48.03/31.16 inference(monotonicity,[status(thm)],[981])).
% 48.03/31.16 tff(983,plain,
% 48.03/31.16 (((~![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))),
% 48.03/31.16 inference(transitivity,[status(thm)],[982, 980])).
% 48.03/31.16 tff(984,plain,
% 48.03/31.16 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB3) | v130(constB3, bitIndex0) | (~v127(constB3, bitIndex0)))),
% 48.03/31.16 inference(quant_inst,[status(thm)],[])).
% 48.03/31.16 tff(985,plain,
% 48.03/31.16 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB3, bitIndex0)) | v26(constB3) | v130(constB3, bitIndex0)),
% 48.03/31.16 inference(modus_ponens,[status(thm)],[984, 983])).
% 48.03/31.16 tff(986,plain,
% 48.03/31.16 ((~v127(constB3, bitIndex0)) | v130(constB3, bitIndex0)),
% 48.03/31.16 inference(unit_resolution,[status(thm)],[985, 524, 611])).
% 48.03/31.16 tff(987,plain,
% 48.03/31.16 (~v127(constB3, bitIndex0)),
% 48.03/31.16 inference(unit_resolution,[status(thm)],[986, 979])).
% 48.03/31.16 tff(988,plain,
% 48.03/31.16 (((~![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)))),
% 48.03/31.16 inference(rewrite,[status(thm)],[])).
% 48.03/31.16 tff(989,plain,
% 48.03/31.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB3, constB4)) | v127(constB3, bitIndex0) | (~v129(constB4, bitIndex0)))),
% 48.03/31.16 inference(quant_inst,[status(thm)],[])).
% 48.03/31.16 tff(990,plain,
% 48.03/31.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB3, constB4)) | v127(constB3, bitIndex0) | (~v129(constB4, bitIndex0))),
% 48.03/31.16 inference(modus_ponens,[status(thm)],[989, 988])).
% 48.03/31.16 tff(991,plain,
% 48.03/31.16 (v127(constB3, bitIndex0) | (~v129(constB4, bitIndex0))),
% 48.03/31.16 inference(unit_resolution,[status(thm)],[990, 542, 623])).
% 48.03/31.16 tff(992,plain,
% 48.03/31.16 (~v129(constB4, bitIndex0)),
% 48.03/31.16 inference(unit_resolution,[status(thm)],[991, 987])).
% 48.03/31.16 tff(993,plain,
% 48.03/31.16 (((~![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)))),
% 48.03/31.16 inference(rewrite,[status(thm)],[])).
% 48.03/31.16 tff(994,plain,
% 48.03/31.16 (((~v90(constB4, bitIndex0)) | (~v100(constB4)) | v129(constB4, bitIndex0)) <=> ((~v90(constB4, bitIndex0)) | v129(constB4, bitIndex0) | (~v100(constB4)))),
% 48.03/31.16 inference(rewrite,[status(thm)],[])).
% 48.03/31.16 tff(995,plain,
% 48.03/31.16 (((~![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))))),
% 48.03/31.16 inference(monotonicity,[status(thm)],[994])).
% 48.03/31.16 tff(996,plain,
% 48.03/31.16 (((~![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)))),
% 48.03/31.16 inference(transitivity,[status(thm)],[995, 993])).
% 48.03/31.16 tff(997,plain,
% 48.03/31.16 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB4, bitIndex0)) | (~v100(constB4)) | v129(constB4, bitIndex0))),
% 48.03/31.16 inference(quant_inst,[status(thm)],[])).
% 48.03/31.16 tff(998,plain,
% 48.03/31.16 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB4, bitIndex0)) | v129(constB4, bitIndex0) | (~v100(constB4))),
% 48.12/31.17 inference(modus_ponens,[status(thm)],[997, 996])).
% 48.12/31.17 tff(999,plain,
% 48.12/31.17 ((~v90(constB4, bitIndex0)) | (~v100(constB4))),
% 48.12/31.17 inference(unit_resolution,[status(thm)],[998, 557, 992])).
% 48.12/31.17 tff(1000,plain,
% 48.12/31.17 (~v90(constB4, bitIndex0)),
% 48.12/31.17 inference(unit_resolution,[status(thm)],[999, 657])).
% 48.12/31.17 tff(1001,plain,
% 48.12/31.17 (((~![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)))),
% 48.12/31.17 inference(rewrite,[status(thm)],[])).
% 48.12/31.17 tff(1002,plain,
% 48.12/31.17 (((~nextState(constB4, constB5)) | v90(constB4, bitIndex0) | v100(constB5) | (~v90(constB5, bitIndex0))) <=> (v90(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, bitIndex0)))),
% 48.12/31.17 inference(rewrite,[status(thm)],[])).
% 48.12/31.17 tff(1003,plain,
% 48.12/31.17 (((~![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))))),
% 48.12/31.17 inference(monotonicity,[status(thm)],[1002])).
% 48.12/31.17 tff(1004,plain,
% 48.12/31.17 (((~![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)))),
% 48.12/31.17 inference(transitivity,[status(thm)],[1003, 1001])).
% 48.12/31.17 tff(1005,plain,
% 48.12/31.17 ((~![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)))),
% 48.12/31.17 inference(quant_inst,[status(thm)],[])).
% 48.12/31.17 tff(1006,plain,
% 48.12/31.17 ((~![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))),
% 48.12/31.17 inference(modus_ponens,[status(thm)],[1005, 1004])).
% 48.12/31.17 tff(1007,plain,
% 48.12/31.17 (v90(constB4, bitIndex0) | v100(constB5) | (~v90(constB5, bitIndex0))),
% 48.12/31.17 inference(unit_resolution,[status(thm)],[1006, 123, 725])).
% 48.12/31.17 tff(1008,plain,
% 48.12/31.17 (v90(constB4, bitIndex0) | (~v90(constB5, bitIndex0))),
% 48.12/31.17 inference(unit_resolution,[status(thm)],[1007, 737])).
% 48.12/31.17 tff(1009,plain,
% 48.12/31.17 (~v90(constB5, bitIndex0)),
% 48.12/31.17 inference(unit_resolution,[status(thm)],[1008, 1000])).
% 48.12/31.17 tff(1010,plain,
% 48.12/31.17 (^[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)))),
% 48.12/31.17 inference(bind,[status(th)],[])).
% 48.12/31.17 tff(1011,plain,
% 48.12/31.17 (![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))),
% 48.12/31.17 inference(quant_intro,[status(thm)],[1010])).
% 48.12/31.17 tff(1012,plain,
% 48.12/31.17 (![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))),
% 48.12/31.17 inference(rewrite,[status(thm)],[])).
% 48.12/31.17 tff(1013,plain,
% 48.12/31.17 (^[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))))),
% 48.12/31.17 inference(bind,[status(th)],[])).
% 48.12/31.17 tff(1014,plain,
% 48.12/31.17 (![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))),
% 48.12/31.17 inference(quant_intro,[status(thm)],[1013])).
% 48.12/31.17 tff(1015,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')).
% 48.12/31.17 tff(1016,plain,
% 48.12/31.17 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 48.12/31.17 inference(modus_ponens,[status(thm)],[1015, 1014])).
% 48.12/31.17 tff(1017,plain,
% 48.12/31.17 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 48.12/31.17 inference(modus_ponens,[status(thm)],[1016, 1012])).
% 48.12/31.17 tff(1018,plain,(
% 48.12/31.17 ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 48.12/31.17 inference(skolemize,[status(sab)],[1017])).
% 48.12/31.17 tff(1019,plain,
% 48.12/31.17 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))),
% 48.12/31.17 inference(modus_ponens,[status(thm)],[1018, 1011])).
% 48.12/31.17 tff(1020,plain,
% 48.12/31.17 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)) | (~v90(constB5, bitIndex2)) | v125(constB5))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)) | (~v90(constB5, bitIndex2)) | v125(constB5))),
% 48.12/31.17 inference(rewrite,[status(thm)],[])).
% 48.12/31.17 tff(1021,plain,
% 48.12/31.17 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)) | (~v90(constB5, bitIndex2)) | v125(constB5))),
% 48.12/31.17 inference(quant_inst,[status(thm)],[])).
% 48.12/31.17 tff(1022,plain,
% 48.12/31.17 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)) | (~v90(constB5, bitIndex2)) | v125(constB5)),
% 48.12/31.17 inference(modus_ponens,[status(thm)],[1021, 1020])).
% 48.12/31.17 tff(1023,plain,
% 48.12/31.17 (v90(constB5, bitIndex0) | (~v90(constB5, bitIndex1)) | v125(constB5)),
% 48.12/31.17 inference(unit_resolution,[status(thm)],[1022, 1019, 851])).
% 48.12/31.17 tff(1024,plain,
% 48.12/31.17 (v125(constB5)),
% 48.12/31.17 inference(unit_resolution,[status(thm)],[1023, 1009, 756])).
% 48.12/31.17 tff(1025,plain,
% 48.12/31.17 (^[VarCurr: $i] : refl((v113(VarCurr) | (~v125(VarCurr))) <=> (v113(VarCurr) | (~v125(VarCurr))))),
% 48.12/31.17 inference(bind,[status(th)],[])).
% 48.12/31.17 tff(1026,plain,
% 48.12/31.17 (![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr))) <=> ![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))),
% 48.12/31.17 inference(quant_intro,[status(thm)],[1025])).
% 48.12/31.17 tff(1027,plain,
% 48.12/31.17 (![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr))) <=> ![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))),
% 48.12/31.17 inference(rewrite,[status(thm)],[])).
% 48.12/31.17 tff(1028,axiom,(![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_24_1_1')).
% 48.12/31.17 tff(1029,plain,
% 48.12/31.17 (![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))),
% 48.12/31.17 inference(modus_ponens,[status(thm)],[1028, 1027])).
% 48.12/31.17 tff(1030,plain,(
% 48.12/31.17 ![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))),
% 48.12/31.17 inference(skolemize,[status(sab)],[1029])).
% 48.12/31.17 tff(1031,plain,
% 48.12/31.17 (![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))),
% 48.12/31.17 inference(modus_ponens,[status(thm)],[1030, 1026])).
% 48.12/31.17 tff(1032,plain,
% 48.12/31.17 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB5) | (~v125(constB5)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB5) | (~v125(constB5)))),
% 48.12/31.17 inference(rewrite,[status(thm)],[])).
% 48.12/31.17 tff(1033,plain,
% 48.12/31.17 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB5) | (~v125(constB5)))),
% 48.12/31.17 inference(quant_inst,[status(thm)],[])).
% 48.12/31.17 tff(1034,plain,
% 48.12/31.17 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB5) | (~v125(constB5))),
% 48.12/31.17 inference(modus_ponens,[status(thm)],[1033, 1032])).
% 48.12/31.17 tff(1035,plain,
% 48.12/31.17 (v113(constB5)),
% 48.12/31.17 inference(unit_resolution,[status(thm)],[1034, 1031, 1024])).
% 48.12/31.17 tff(1036,plain,
% 48.12/31.17 (((~![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)))),
% 48.12/31.17 inference(rewrite,[status(thm)],[])).
% 48.12/31.17 tff(1037,plain,
% 48.12/31.17 ((v26(constB5) | (~v113(constB5)) | v112(constB5)) <=> (v26(constB5) | v112(constB5) | (~v113(constB5)))),
% 48.12/31.17 inference(rewrite,[status(thm)],[])).
% 48.12/31.17 tff(1038,plain,
% 48.12/31.17 (((~![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))))),
% 48.12/31.17 inference(monotonicity,[status(thm)],[1037])).
% 48.12/31.17 tff(1039,plain,
% 48.12/31.17 (((~![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)))),
% 48.12/31.17 inference(transitivity,[status(thm)],[1038, 1036])).
% 48.12/31.17 tff(1040,plain,
% 48.12/31.17 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB5) | (~v113(constB5)) | v112(constB5))),
% 48.12/31.17 inference(quant_inst,[status(thm)],[])).
% 48.12/31.17 tff(1041,plain,
% 48.12/31.17 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB5) | v112(constB5) | (~v113(constB5))),
% 48.12/31.17 inference(modus_ponens,[status(thm)],[1040, 1039])).
% 48.12/31.17 tff(1042,plain,
% 48.12/31.17 (v26(constB5) | v112(constB5)),
% 48.12/31.17 inference(unit_resolution,[status(thm)],[1041, 224, 1035])).
% 48.12/31.17 tff(1043,plain,
% 48.12/31.17 ($false),
% 48.12/31.17 inference(unit_resolution,[status(thm)],[1042, 965, 954])).
% 48.12/31.17 tff(1044,plain,(v108(constB5)), inference(lemma,lemma(discharge,[]))).
% 48.12/31.17 tff(1045,plain,
% 48.12/31.17 (((~![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)))),
% 48.12/31.17 inference(rewrite,[status(thm)],[])).
% 48.12/31.17 tff(1046,plain,
% 48.12/31.17 (((~nextState(constB5, constB6)) | (~v108(constB5)) | v110(constB6)) <=> ((~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5)))),
% 48.12/31.17 inference(rewrite,[status(thm)],[])).
% 48.12/31.17 tff(1047,plain,
% 48.12/31.17 (((~![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))))),
% 48.12/31.17 inference(monotonicity,[status(thm)],[1046])).
% 48.12/31.17 tff(1048,plain,
% 48.12/31.17 (((~![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)))),
% 48.12/31.17 inference(transitivity,[status(thm)],[1047, 1045])).
% 48.12/31.17 tff(1049,plain,
% 48.12/31.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB5, constB6)) | (~v108(constB5)) | v110(constB6))),
% 48.12/31.17 inference(quant_inst,[status(thm)],[])).
% 48.12/31.17 tff(1050,plain,
% 48.12/31.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5))),
% 48.12/31.17 inference(modus_ponens,[status(thm)],[1049, 1048])).
% 48.12/31.17 tff(1051,plain,
% 48.12/31.17 (v110(constB6) | (~v108(constB5))),
% 48.12/31.17 inference(unit_resolution,[status(thm)],[1050, 253, 934])).
% 48.12/31.17 tff(1052,plain,
% 48.12/31.17 (v110(constB6)),
% 48.12/31.17 inference(unit_resolution,[status(thm)],[1051, 1044])).
% 48.12/31.17 tff(1053,plain,
% 48.12/31.17 (((~![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)))),
% 48.12/31.17 inference(rewrite,[status(thm)],[])).
% 48.12/31.17 tff(1054,plain,
% 48.12/31.17 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB5) | (~nextState(constB5, constB6)) | (~v104(constB6)))),
% 48.12/31.17 inference(quant_inst,[status(thm)],[])).
% 48.12/31.17 tff(1055,plain,
% 48.12/31.17 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB5) | (~nextState(constB5, constB6)) | (~v104(constB6))),
% 48.12/31.17 inference(modus_ponens,[status(thm)],[1054, 1053])).
% 48.12/31.17 tff(1056,plain,
% 48.12/31.17 (~v104(constB6)),
% 48.12/31.17 inference(unit_resolution,[status(thm)],[1055, 271, 934, 722])).
% 48.12/31.17 tff(1057,plain,
% 48.12/31.17 (((~![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))),
% 48.12/31.17 inference(rewrite,[status(thm)],[])).
% 48.12/31.17 tff(1058,plain,
% 48.12/31.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB5, constB6)) | v102(constB6) | v104(constB6))),
% 48.12/31.17 inference(quant_inst,[status(thm)],[])).
% 48.12/31.17 tff(1059,plain,
% 48.12/31.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB5, constB6)) | v102(constB6) | v104(constB6)),
% 48.12/31.17 inference(modus_ponens,[status(thm)],[1058, 1057])).
% 48.12/31.17 tff(1060,plain,
% 48.12/31.17 (v102(constB6) | v104(constB6)),
% 48.12/31.17 inference(unit_resolution,[status(thm)],[1059, 285, 934])).
% 48.12/31.17 tff(1061,plain,
% 48.12/31.17 (v102(constB6)),
% 48.12/31.17 inference(unit_resolution,[status(thm)],[1060, 1056])).
% 48.12/31.17 tff(1062,plain,
% 48.12/31.17 (v1(constB6) <=> v1(constB6)),
% 48.12/31.17 inference(rewrite,[status(thm)],[])).
% 48.12/31.17 tff(1063,axiom,(v1(constB6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_6_1')).
% 48.12/31.17 tff(1064,plain,
% 48.12/31.17 (v1(constB6)),
% 48.12/31.17 inference(modus_ponens,[status(thm)],[1063, 1062])).
% 48.12/31.17 tff(1065,plain,
% 48.12/31.17 (((~![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)))),
% 48.12/31.17 inference(rewrite,[status(thm)],[])).
% 48.12/31.17 tff(1066,plain,
% 48.12/31.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB5, constB6)) | v101(constB6) | (~v102(constB6)) | (~v1(constB6)))),
% 48.12/31.17 inference(quant_inst,[status(thm)],[])).
% 48.12/31.17 tff(1067,plain,
% 48.12/31.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB5, constB6)) | v101(constB6) | (~v102(constB6)) | (~v1(constB6))),
% 48.12/31.17 inference(modus_ponens,[status(thm)],[1066, 1065])).
% 48.12/31.17 tff(1068,plain,
% 48.12/31.17 (v101(constB6) | (~v102(constB6))),
% 48.12/31.17 inference(unit_resolution,[status(thm)],[1067, 303, 934, 1064])).
% 48.12/31.17 tff(1069,plain,
% 48.12/31.17 (v101(constB6)),
% 48.12/31.17 inference(unit_resolution,[status(thm)],[1068, 1061])).
% 48.12/31.17 tff(1070,plain,
% 48.12/31.17 (((~![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)))),
% 48.12/31.17 inference(rewrite,[status(thm)],[])).
% 48.12/31.17 tff(1071,plain,
% 48.12/31.17 (((~nextState(constB5, constB6)) | (~v101(constB6)) | (~v110(constB6)) | v100(constB6)) <=> ((~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6)))),
% 48.12/31.17 inference(rewrite,[status(thm)],[])).
% 48.12/31.17 tff(1072,plain,
% 48.12/31.17 (((~![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))))),
% 48.12/31.17 inference(monotonicity,[status(thm)],[1071])).
% 48.12/31.17 tff(1073,plain,
% 48.12/31.17 (((~![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)))),
% 48.12/31.17 inference(transitivity,[status(thm)],[1072, 1070])).
% 48.12/31.17 tff(1074,plain,
% 48.12/31.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB5, constB6)) | (~v101(constB6)) | (~v110(constB6)) | v100(constB6))),
% 48.12/31.17 inference(quant_inst,[status(thm)],[])).
% 48.12/31.17 tff(1075,plain,
% 48.12/31.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6))),
% 48.12/31.17 inference(modus_ponens,[status(thm)],[1074, 1073])).
% 48.12/31.17 tff(1076,plain,
% 48.12/31.17 (v100(constB6) | (~v101(constB6)) | (~v110(constB6))),
% 48.12/31.17 inference(unit_resolution,[status(thm)],[1075, 318, 934])).
% 48.12/31.17 tff(1077,plain,
% 48.12/31.17 (v100(constB6) | (~v110(constB6))),
% 48.12/31.17 inference(unit_resolution,[status(thm)],[1076, 1069])).
% 48.12/31.17 tff(1078,plain,
% 48.12/31.17 (v100(constB6)),
% 48.12/31.17 inference(unit_resolution,[status(thm)],[1077, 1052])).
% 48.12/31.17 tff(1079,plain,
% 48.12/31.17 (^[VarNext: $i] : refl((v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0))) <=> (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0))))),
% 48.12/31.17 inference(bind,[status(th)],[])).
% 48.12/31.17 tff(1080,plain,
% 48.12/31.17 (![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 48.12/31.17 inference(quant_intro,[status(thm)],[1079])).
% 48.12/31.17 tff(1081,plain,
% 48.12/31.17 (![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 48.12/31.17 inference(rewrite,[status(thm)],[])).
% 48.12/31.17 tff(1082,plain,
% 48.12/31.17 (^[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)))))),
% 48.12/31.17 inference(bind,[status(th)],[])).
% 48.12/31.17 tff(1083,plain,
% 48.12/31.17 (![VarNext: $i] : ((v90(VarNext, bitIndex0) | (~v129(VarNext, bitIndex0))) | (~v100(VarNext))) <=> ![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 48.12/31.17 inference(quant_intro,[status(thm)],[1082])).
% 48.12/31.17 tff(1084,axiom,(![VarNext: $i] : ((v90(VarNext, bitIndex0) | (~v129(VarNext, bitIndex0))) | (~v100(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_1')).
% 48.12/31.17 tff(1085,plain,
% 48.12/31.17 (![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 48.12/31.17 inference(modus_ponens,[status(thm)],[1084, 1083])).
% 48.12/31.17 tff(1086,plain,
% 48.12/31.17 (![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 48.12/31.17 inference(modus_ponens,[status(thm)],[1085, 1081])).
% 48.12/31.17 tff(1087,plain,(
% 48.12/31.17 ![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 48.12/31.17 inference(skolemize,[status(sab)],[1086])).
% 48.12/31.17 tff(1088,plain,
% 48.12/31.17 (![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))),
% 48.12/31.17 inference(modus_ponens,[status(thm)],[1087, 1080])).
% 48.12/31.17 tff(1089,plain,
% 48.12/31.17 (((~![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)))),
% 48.12/31.17 inference(rewrite,[status(thm)],[])).
% 48.12/31.17 tff(1090,plain,
% 48.12/31.17 ((v90(constB6, bitIndex0) | (~v100(constB6)) | (~v129(constB6, bitIndex0))) <=> (v90(constB6, bitIndex0) | (~v129(constB6, bitIndex0)) | (~v100(constB6)))),
% 48.12/31.17 inference(rewrite,[status(thm)],[])).
% 48.12/31.17 tff(1091,plain,
% 48.12/31.17 (((~![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))))),
% 48.12/31.17 inference(monotonicity,[status(thm)],[1090])).
% 48.12/31.17 tff(1092,plain,
% 48.12/31.17 (((~![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)))),
% 48.12/31.17 inference(transitivity,[status(thm)],[1091, 1089])).
% 48.12/31.17 tff(1093,plain,
% 48.12/31.17 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB6, bitIndex0) | (~v100(constB6)) | (~v129(constB6, bitIndex0)))),
% 48.12/31.17 inference(quant_inst,[status(thm)],[])).
% 48.12/31.17 tff(1094,plain,
% 48.12/31.17 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB6, bitIndex0) | (~v129(constB6, bitIndex0)) | (~v100(constB6))),
% 48.12/31.17 inference(modus_ponens,[status(thm)],[1093, 1092])).
% 48.12/31.17 tff(1095,plain,
% 48.12/31.17 (v90(constB6, bitIndex0) | (~v129(constB6, bitIndex0))),
% 48.12/31.17 inference(unit_resolution,[status(thm)],[1094, 1088, 1078])).
% 48.12/31.17 tff(1096,plain,
% 48.12/31.17 (v90(constB6, bitIndex0)),
% 48.12/31.17 inference(unit_resolution,[status(thm)],[1095, 949])).
% 48.12/31.17 tff(1097,plain,
% 48.12/31.17 ((~v1(constB7)) <=> (~v1(constB7))),
% 48.12/31.17 inference(rewrite,[status(thm)],[])).
% 48.12/31.17 tff(1098,axiom,(~v1(constB7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_7_1_1')).
% 48.12/31.17 tff(1099,plain,
% 48.12/31.17 (~v1(constB7)),
% 48.12/31.17 inference(modus_ponens,[status(thm)],[1098, 1097])).
% 48.12/31.17 tff(1100,plain,
% 48.12/31.17 (nextState(constB6, constB7) <=> nextState(constB6, constB7)),
% 48.12/31.17 inference(rewrite,[status(thm)],[])).
% 48.12/31.17 tff(1101,axiom,(nextState(constB6, constB7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_6_1')).
% 48.12/31.17 tff(1102,plain,
% 48.12/31.17 (nextState(constB6, constB7)),
% 48.12/31.17 inference(modus_ponens,[status(thm)],[1101, 1100])).
% 48.12/31.17 tff(1103,plain,
% 48.12/31.17 (((~![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)))),
% 48.12/31.17 inference(rewrite,[status(thm)],[])).
% 48.12/31.17 tff(1104,plain,
% 48.12/31.17 (((~nextState(constB6, constB7)) | (~v101(constB7)) | v1(constB7)) <=> (v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7)))),
% 48.12/31.17 inference(rewrite,[status(thm)],[])).
% 48.12/31.17 tff(1105,plain,
% 48.12/31.17 (((~![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))))),
% 48.12/31.17 inference(monotonicity,[status(thm)],[1104])).
% 48.12/31.17 tff(1106,plain,
% 48.12/31.17 (((~![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)))),
% 48.12/31.17 inference(transitivity,[status(thm)],[1105, 1103])).
% 48.12/31.17 tff(1107,plain,
% 48.12/31.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB6, constB7)) | (~v101(constB7)) | v1(constB7))),
% 48.12/31.17 inference(quant_inst,[status(thm)],[])).
% 48.12/31.17 tff(1108,plain,
% 48.12/31.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7))),
% 48.12/31.17 inference(modus_ponens,[status(thm)],[1107, 1106])).
% 48.12/31.17 tff(1109,plain,
% 48.12/31.17 (~v101(constB7)),
% 48.12/31.17 inference(unit_resolution,[status(thm)],[1108, 49, 1102, 1099])).
% 48.12/31.17 tff(1110,plain,
% 48.12/31.17 (((~![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)))),
% 48.12/31.17 inference(rewrite,[status(thm)],[])).
% 48.12/31.17 tff(1111,plain,
% 48.12/31.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB6, constB7)) | v101(constB7) | (~v100(constB7)))),
% 48.12/31.17 inference(quant_inst,[status(thm)],[])).
% 48.12/31.17 tff(1112,plain,
% 48.12/31.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB6, constB7)) | v101(constB7) | (~v100(constB7))),
% 48.12/31.17 inference(modus_ponens,[status(thm)],[1111, 1110])).
% 48.12/31.17 tff(1113,plain,
% 48.12/31.17 (v101(constB7) | (~v100(constB7))),
% 48.12/31.17 inference(unit_resolution,[status(thm)],[1112, 66, 1102])).
% 48.12/31.17 tff(1114,plain,
% 48.12/31.17 (~v100(constB7)),
% 48.12/31.17 inference(unit_resolution,[status(thm)],[1113, 1109])).
% 48.12/31.17 tff(1115,plain,
% 48.12/31.17 (^[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)))),
% 48.12/31.17 inference(bind,[status(th)],[])).
% 48.12/31.17 tff(1116,plain,
% 48.12/31.17 (![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))),
% 48.12/31.17 inference(quant_intro,[status(thm)],[1115])).
% 48.12/31.17 tff(1117,plain,
% 48.12/31.17 (![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))),
% 48.12/31.17 inference(rewrite,[status(thm)],[])).
% 48.12/31.17 tff(1118,plain,
% 48.12/31.17 (^[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))))),
% 48.12/31.17 inference(bind,[status(th)],[])).
% 48.12/31.17 tff(1119,plain,
% 48.12/31.17 (![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))),
% 48.12/31.17 inference(quant_intro,[status(thm)],[1118])).
% 48.12/31.17 tff(1120,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')).
% 48.12/31.17 tff(1121,plain,
% 48.12/31.17 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 48.12/31.17 inference(modus_ponens,[status(thm)],[1120, 1119])).
% 48.12/31.17 tff(1122,plain,
% 48.12/31.17 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 48.12/31.17 inference(modus_ponens,[status(thm)],[1121, 1117])).
% 48.12/31.17 tff(1123,plain,(
% 48.12/31.17 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 48.12/31.17 inference(skolemize,[status(sab)],[1122])).
% 48.12/31.17 tff(1124,plain,
% 48.12/31.17 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))),
% 48.12/31.17 inference(modus_ponens,[status(thm)],[1123, 1116])).
% 48.12/31.17 tff(1125,plain,
% 48.12/31.17 (((~![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))),
% 48.12/31.17 inference(rewrite,[status(thm)],[])).
% 48.12/31.17 tff(1126,plain,
% 48.12/31.17 (((~nextState(constB6, constB7)) | (~v90(constB6, bitIndex0)) | v100(constB7) | v90(constB7, bitIndex0)) <=> ((~v90(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, bitIndex0))),
% 48.12/31.17 inference(rewrite,[status(thm)],[])).
% 48.12/31.17 tff(1127,plain,
% 48.12/31.17 (((~![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)))),
% 48.12/31.17 inference(monotonicity,[status(thm)],[1126])).
% 48.12/31.17 tff(1128,plain,
% 48.12/31.17 (((~![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))),
% 48.12/31.17 inference(transitivity,[status(thm)],[1127, 1125])).
% 48.12/31.17 tff(1129,plain,
% 48.12/31.17 ((~![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))),
% 48.12/31.17 inference(quant_inst,[status(thm)],[])).
% 48.12/31.17 tff(1130,plain,
% 48.12/31.17 ((~![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)),
% 48.12/31.17 inference(modus_ponens,[status(thm)],[1129, 1128])).
% 48.12/31.17 tff(1131,plain,
% 48.12/31.17 ((~v90(constB6, bitIndex0)) | v100(constB7) | v90(constB7, bitIndex0)),
% 48.12/31.17 inference(unit_resolution,[status(thm)],[1130, 1124, 1102])).
% 48.12/31.17 tff(1132,plain,
% 48.12/31.17 ((~v90(constB6, bitIndex0)) | v90(constB7, bitIndex0)),
% 48.12/31.17 inference(unit_resolution,[status(thm)],[1131, 1114])).
% 48.12/31.17 tff(1133,plain,
% 48.12/31.17 (v90(constB7, bitIndex0)),
% 48.12/31.17 inference(unit_resolution,[status(thm)],[1132, 1096])).
% 48.12/31.17 tff(1134,plain,
% 48.12/31.17 (^[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))))),
% 48.12/31.17 inference(bind,[status(th)],[])).
% 48.12/31.17 tff(1135,plain,
% 48.12/31.17 (![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)))),
% 48.12/31.17 inference(quant_intro,[status(thm)],[1134])).
% 48.12/31.17 tff(1136,plain,
% 48.12/31.17 (![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)))),
% 48.12/31.17 inference(rewrite,[status(thm)],[])).
% 48.12/31.17 tff(1137,plain,
% 48.12/31.17 (^[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)))))),
% 48.12/31.17 inference(bind,[status(th)],[])).
% 48.12/31.17 tff(1138,plain,
% 48.12/31.17 (![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)))),
% 48.12/31.18 inference(quant_intro,[status(thm)],[1137])).
% 48.12/31.18 tff(1139,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')).
% 48.12/31.18 tff(1140,plain,
% 48.12/31.18 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 48.12/31.18 inference(modus_ponens,[status(thm)],[1139, 1138])).
% 48.12/31.18 tff(1141,plain,
% 48.12/31.18 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 48.12/31.18 inference(modus_ponens,[status(thm)],[1140, 1136])).
% 48.12/31.18 tff(1142,plain,(
% 48.12/31.18 ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 48.12/31.18 inference(skolemize,[status(sab)],[1141])).
% 48.12/31.18 tff(1143,plain,
% 48.12/31.18 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))),
% 48.12/31.18 inference(modus_ponens,[status(thm)],[1142, 1135])).
% 48.12/31.18 tff(1144,plain,
% 48.12/31.18 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB5) | v123(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)))) | v124(constB5) | v123(constB5) | v122(constB5) | v121(constB5) | v120(constB5) | v119(constB5) | (~v130(constB5, bitIndex1)))),
% 48.12/31.18 inference(rewrite,[status(thm)],[])).
% 48.12/31.18 tff(1145,plain,
% 48.12/31.18 ((v120(constB5) | v119(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | (~v130(constB5, bitIndex1))) <=> (v124(constB5) | v123(constB5) | v122(constB5) | v121(constB5) | v120(constB5) | v119(constB5) | (~v130(constB5, bitIndex1)))),
% 48.12/31.18 inference(rewrite,[status(thm)],[])).
% 48.12/31.18 tff(1146,plain,
% 48.12/31.18 (((~![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)))) | (v124(constB5) | v123(constB5) | v122(constB5) | v121(constB5) | v120(constB5) | v119(constB5) | (~v130(constB5, bitIndex1))))),
% 48.12/31.18 inference(monotonicity,[status(thm)],[1145])).
% 48.12/31.18 tff(1147,plain,
% 48.12/31.18 (((~![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)))) | v124(constB5) | v123(constB5) | v122(constB5) | v121(constB5) | v120(constB5) | v119(constB5) | (~v130(constB5, bitIndex1)))),
% 48.12/31.18 inference(transitivity,[status(thm)],[1146, 1144])).
% 48.12/31.18 tff(1148,plain,
% 48.12/31.18 ((~![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)))),
% 48.12/31.18 inference(quant_inst,[status(thm)],[])).
% 48.12/31.18 tff(1149,plain,
% 48.12/31.18 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB5) | v123(constB5) | v122(constB5) | v121(constB5) | v120(constB5) | v119(constB5) | (~v130(constB5, bitIndex1))),
% 48.12/31.18 inference(modus_ponens,[status(thm)],[1148, 1147])).
% 48.12/31.18 tff(1150,plain,
% 48.12/31.18 (v124(constB5) | v123(constB5) | (~v130(constB5, bitIndex1))),
% 48.12/31.18 inference(unit_resolution,[status(thm)],[1149, 1143, 898, 887, 876, 865])).
% 48.12/31.18 tff(1151,plain,
% 48.12/31.18 (~v130(constB5, bitIndex1)),
% 48.12/31.18 inference(unit_resolution,[status(thm)],[1150, 778, 767])).
% 48.12/31.18 tff(1152,plain,
% 48.12/31.18 (((~![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))),
% 48.12/31.18 inference(rewrite,[status(thm)],[])).
% 48.12/31.18 tff(1153,plain,
% 48.12/31.18 ((v26(constB5) | v130(constB5, bitIndex1) | (~v127(constB5, bitIndex1))) <=> ((~v127(constB5, bitIndex1)) | v26(constB5) | v130(constB5, bitIndex1))),
% 48.12/31.18 inference(rewrite,[status(thm)],[])).
% 48.12/31.18 tff(1154,plain,
% 48.12/31.18 (((~![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)))),
% 48.12/31.18 inference(monotonicity,[status(thm)],[1153])).
% 48.12/31.18 tff(1155,plain,
% 48.12/31.18 (((~![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))),
% 48.12/31.18 inference(transitivity,[status(thm)],[1154, 1152])).
% 48.12/31.18 tff(1156,plain,
% 48.12/31.18 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB5) | v130(constB5, bitIndex1) | (~v127(constB5, bitIndex1)))),
% 48.12/31.18 inference(quant_inst,[status(thm)],[])).
% 48.12/31.18 tff(1157,plain,
% 48.12/31.18 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB5, bitIndex1)) | v26(constB5) | v130(constB5, bitIndex1)),
% 48.12/31.18 inference(modus_ponens,[status(thm)],[1156, 1155])).
% 48.12/31.18 tff(1158,plain,
% 48.12/31.18 ((~v127(constB5, bitIndex1)) | v26(constB5)),
% 48.12/31.18 inference(unit_resolution,[status(thm)],[1157, 450, 1151])).
% 48.12/31.18 tff(1159,plain,
% 48.12/31.18 (~v127(constB5, bitIndex1)),
% 48.12/31.18 inference(unit_resolution,[status(thm)],[1158, 29])).
% 48.12/31.18 tff(1160,plain,
% 48.12/31.18 (((~![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)))),
% 48.12/31.18 inference(rewrite,[status(thm)],[])).
% 48.12/31.18 tff(1161,plain,
% 48.12/31.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB5, constB6)) | v127(constB5, bitIndex1) | (~v129(constB6, bitIndex1)))),
% 48.12/31.18 inference(quant_inst,[status(thm)],[])).
% 48.12/31.18 tff(1162,plain,
% 48.12/31.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB5, constB6)) | v127(constB5, bitIndex1) | (~v129(constB6, bitIndex1))),
% 48.12/31.18 inference(modus_ponens,[status(thm)],[1161, 1160])).
% 48.12/31.18 tff(1163,plain,
% 48.12/31.18 (v127(constB5, bitIndex1) | (~v129(constB6, bitIndex1))),
% 48.12/31.18 inference(unit_resolution,[status(thm)],[1162, 468, 934])).
% 48.12/31.18 tff(1164,plain,
% 48.12/31.18 (~v129(constB6, bitIndex1)),
% 48.12/31.18 inference(unit_resolution,[status(thm)],[1163, 1159])).
% 48.12/31.18 tff(1165,plain,
% 48.12/31.18 (((~![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)))),
% 48.12/31.18 inference(rewrite,[status(thm)],[])).
% 48.12/31.18 tff(1166,plain,
% 48.12/31.18 (((~v90(constB6, bitIndex1)) | (~v100(constB6)) | v129(constB6, bitIndex1)) <=> ((~v90(constB6, bitIndex1)) | v129(constB6, bitIndex1) | (~v100(constB6)))),
% 48.12/31.18 inference(rewrite,[status(thm)],[])).
% 48.12/31.18 tff(1167,plain,
% 48.12/31.18 (((~![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))))),
% 48.12/31.18 inference(monotonicity,[status(thm)],[1166])).
% 48.12/31.18 tff(1168,plain,
% 48.12/31.18 (((~![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)))),
% 48.12/31.18 inference(transitivity,[status(thm)],[1167, 1165])).
% 48.12/31.18 tff(1169,plain,
% 48.12/31.18 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB6, bitIndex1)) | (~v100(constB6)) | v129(constB6, bitIndex1))),
% 48.12/31.18 inference(quant_inst,[status(thm)],[])).
% 48.12/31.18 tff(1170,plain,
% 48.12/31.18 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB6, bitIndex1)) | v129(constB6, bitIndex1) | (~v100(constB6))),
% 48.12/31.18 inference(modus_ponens,[status(thm)],[1169, 1168])).
% 48.12/31.18 tff(1171,plain,
% 48.12/31.18 ((~v90(constB6, bitIndex1)) | v129(constB6, bitIndex1)),
% 48.12/31.18 inference(unit_resolution,[status(thm)],[1170, 483, 1078])).
% 48.12/31.18 tff(1172,plain,
% 48.12/31.18 (~v90(constB6, bitIndex1)),
% 48.12/31.18 inference(unit_resolution,[status(thm)],[1171, 1164])).
% 48.12/31.18 tff(1173,plain,
% 48.12/31.18 (((~![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)))),
% 48.12/31.18 inference(rewrite,[status(thm)],[])).
% 48.12/31.18 tff(1174,plain,
% 48.12/31.18 (((~nextState(constB6, constB7)) | v90(constB6, bitIndex1) | v100(constB7) | (~v90(constB7, bitIndex1))) <=> (v90(constB6, bitIndex1) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex1)))),
% 48.12/31.18 inference(rewrite,[status(thm)],[])).
% 48.12/31.18 tff(1175,plain,
% 48.12/31.18 (((~![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))))),
% 48.12/31.18 inference(monotonicity,[status(thm)],[1174])).
% 48.12/31.18 tff(1176,plain,
% 48.12/31.18 (((~![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)))),
% 48.12/31.18 inference(transitivity,[status(thm)],[1175, 1173])).
% 48.12/31.18 tff(1177,plain,
% 48.12/31.18 ((~![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)))),
% 48.12/31.18 inference(quant_inst,[status(thm)],[])).
% 48.12/31.18 tff(1178,plain,
% 48.12/31.18 ((~![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))),
% 48.12/31.18 inference(modus_ponens,[status(thm)],[1177, 1176])).
% 48.12/31.18 tff(1179,plain,
% 48.12/31.18 (v90(constB6, bitIndex1) | v100(constB7) | (~v90(constB7, bitIndex1))),
% 48.12/31.18 inference(unit_resolution,[status(thm)],[1178, 102, 1102])).
% 48.12/31.18 tff(1180,plain,
% 48.12/31.18 (v90(constB6, bitIndex1) | (~v90(constB7, bitIndex1))),
% 48.12/31.18 inference(unit_resolution,[status(thm)],[1179, 1114])).
% 48.12/31.18 tff(1181,plain,
% 48.12/31.18 (~v90(constB7, bitIndex1)),
% 48.12/31.18 inference(unit_resolution,[status(thm)],[1180, 1172])).
% 48.12/31.18 tff(1182,assumption,(v127(constB5, bitIndex2)), introduced(assumption)).
% 48.12/31.18 tff(1183,plain,
% 48.12/31.18 (^[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))))),
% 48.12/31.18 inference(bind,[status(th)],[])).
% 48.12/31.18 tff(1184,plain,
% 48.12/31.18 (![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)))),
% 48.12/31.18 inference(quant_intro,[status(thm)],[1183])).
% 48.12/31.18 tff(1185,plain,
% 48.12/31.18 (![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)))),
% 48.12/31.18 inference(rewrite,[status(thm)],[])).
% 48.12/31.18 tff(1186,plain,
% 48.12/31.18 (^[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)))))),
% 48.13/31.18 inference(bind,[status(th)],[])).
% 48.13/31.18 tff(1187,plain,
% 48.13/31.18 (![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)))),
% 48.13/31.18 inference(quant_intro,[status(thm)],[1186])).
% 48.13/31.18 tff(1188,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')).
% 48.13/31.18 tff(1189,plain,
% 48.13/31.18 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 48.13/31.18 inference(modus_ponens,[status(thm)],[1188, 1187])).
% 48.13/31.18 tff(1190,plain,
% 48.13/31.18 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 48.13/31.18 inference(modus_ponens,[status(thm)],[1189, 1185])).
% 48.13/31.18 tff(1191,plain,(
% 48.13/31.18 ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 48.13/31.18 inference(skolemize,[status(sab)],[1190])).
% 48.13/31.18 tff(1192,plain,
% 48.13/31.18 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))),
% 48.13/31.18 inference(modus_ponens,[status(thm)],[1191, 1184])).
% 48.13/31.18 tff(1193,plain,
% 48.13/31.18 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB5, bitIndex2)) | v124(constB5) | v123(constB5) | v122(constB5) | v121(constB5) | v120(constB5) | v119(constB5))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB5, bitIndex2)) | v124(constB5) | v123(constB5) | v122(constB5) | v121(constB5) | v120(constB5) | v119(constB5))),
% 48.13/31.18 inference(rewrite,[status(thm)],[])).
% 48.13/31.18 tff(1194,plain,
% 48.13/31.18 ((v120(constB5) | v119(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | (~v130(constB5, bitIndex2))) <=> ((~v130(constB5, bitIndex2)) | v124(constB5) | v123(constB5) | v122(constB5) | v121(constB5) | v120(constB5) | v119(constB5))),
% 48.13/31.18 inference(rewrite,[status(thm)],[])).
% 48.13/31.18 tff(1195,plain,
% 48.13/31.18 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB5) | v119(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | (~v130(constB5, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB5, bitIndex2)) | v124(constB5) | v123(constB5) | v122(constB5) | v121(constB5) | v120(constB5) | v119(constB5)))),
% 48.13/31.18 inference(monotonicity,[status(thm)],[1194])).
% 48.13/31.18 tff(1196,plain,
% 48.13/31.18 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB5) | v119(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | (~v130(constB5, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB5, bitIndex2)) | v124(constB5) | v123(constB5) | v122(constB5) | v121(constB5) | v120(constB5) | v119(constB5))),
% 48.13/31.18 inference(transitivity,[status(thm)],[1195, 1193])).
% 48.13/31.18 tff(1197,plain,
% 48.13/31.18 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB5) | v119(constB5) | v121(constB5) | v122(constB5) | v123(constB5) | v124(constB5) | (~v130(constB5, bitIndex2)))),
% 48.13/31.18 inference(quant_inst,[status(thm)],[])).
% 48.13/31.18 tff(1198,plain,
% 48.13/31.18 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB5, bitIndex2)) | v124(constB5) | v123(constB5) | v122(constB5) | v121(constB5) | v120(constB5) | v119(constB5)),
% 48.13/31.18 inference(modus_ponens,[status(thm)],[1197, 1196])).
% 48.13/31.18 tff(1199,plain,
% 48.13/31.18 ((~v130(constB5, bitIndex2)) | v124(constB5) | v123(constB5)),
% 48.13/31.18 inference(unit_resolution,[status(thm)],[1198, 1192, 898, 887, 876, 865])).
% 48.13/31.18 tff(1200,plain,
% 48.13/31.18 (~v130(constB5, bitIndex2)),
% 48.13/31.18 inference(unit_resolution,[status(thm)],[1199, 778, 767])).
% 48.13/31.18 tff(1201,plain,
% 48.13/31.18 (^[VarCurr: $i] : refl((v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) <=> (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))))),
% 48.13/31.18 inference(bind,[status(th)],[])).
% 48.13/31.18 tff(1202,plain,
% 48.13/31.18 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 48.13/31.18 inference(quant_intro,[status(thm)],[1201])).
% 48.13/31.18 tff(1203,plain,
% 48.13/31.18 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 48.13/31.18 inference(rewrite,[status(thm)],[])).
% 48.13/31.18 tff(1204,plain,
% 48.13/31.18 (^[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)))))),
% 48.13/31.18 inference(bind,[status(th)],[])).
% 48.13/31.18 tff(1205,plain,
% 48.13/31.18 (![VarCurr: $i] : ((v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 48.13/31.18 inference(quant_intro,[status(thm)],[1204])).
% 48.13/31.18 tff(1206,axiom,(![VarCurr: $i] : ((v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2))) | v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_6')).
% 48.13/31.18 tff(1207,plain,
% 48.13/31.18 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 48.13/31.18 inference(modus_ponens,[status(thm)],[1206, 1205])).
% 48.13/31.18 tff(1208,plain,
% 48.13/31.18 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 48.13/31.18 inference(modus_ponens,[status(thm)],[1207, 1203])).
% 48.13/31.18 tff(1209,plain,(
% 48.13/31.18 ![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 48.13/31.18 inference(skolemize,[status(sab)],[1208])).
% 48.13/31.18 tff(1210,plain,
% 48.13/31.18 (![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))),
% 48.13/31.18 inference(modus_ponens,[status(thm)],[1209, 1202])).
% 48.13/31.18 tff(1211,plain,
% 48.13/31.18 (((~![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))),
% 48.13/31.18 inference(rewrite,[status(thm)],[])).
% 48.13/31.18 tff(1212,plain,
% 48.13/31.18 ((v26(constB5) | v130(constB5, bitIndex2) | (~v127(constB5, bitIndex2))) <=> ((~v127(constB5, bitIndex2)) | v26(constB5) | v130(constB5, bitIndex2))),
% 48.13/31.18 inference(rewrite,[status(thm)],[])).
% 48.13/31.18 tff(1213,plain,
% 48.13/31.18 (((~![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)))),
% 48.13/31.18 inference(monotonicity,[status(thm)],[1212])).
% 48.13/31.18 tff(1214,plain,
% 48.13/31.18 (((~![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))),
% 48.13/31.18 inference(transitivity,[status(thm)],[1213, 1211])).
% 48.13/31.18 tff(1215,plain,
% 48.13/31.18 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB5) | v130(constB5, bitIndex2) | (~v127(constB5, bitIndex2)))),
% 48.13/31.18 inference(quant_inst,[status(thm)],[])).
% 48.13/31.18 tff(1216,plain,
% 48.13/31.18 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB5, bitIndex2)) | v26(constB5) | v130(constB5, bitIndex2)),
% 48.13/31.18 inference(modus_ponens,[status(thm)],[1215, 1214])).
% 48.13/31.18 tff(1217,plain,
% 48.13/31.18 ((~v127(constB5, bitIndex2)) | v26(constB5)),
% 48.13/31.18 inference(unit_resolution,[status(thm)],[1216, 1210, 1200])).
% 48.13/31.18 tff(1218,plain,
% 48.13/31.18 (v26(constB5)),
% 48.13/31.18 inference(unit_resolution,[status(thm)],[1217, 1182])).
% 48.13/31.18 tff(1219,plain,
% 48.13/31.18 (^[VarCurr: $i] : refl(((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2))))),
% 48.13/31.18 inference(bind,[status(th)],[])).
% 48.13/31.18 tff(1220,plain,
% 48.13/31.18 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))),
% 48.13/31.18 inference(quant_intro,[status(thm)],[1219])).
% 48.13/31.18 tff(1221,plain,
% 48.13/31.18 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))),
% 48.13/31.18 inference(rewrite,[status(thm)],[])).
% 48.13/31.18 tff(1222,plain,
% 48.13/31.18 (^[VarCurr: $i] : rewrite(((~v127(VarCurr, bitIndex2)) | (~v26(VarCurr))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2))))),
% 48.13/31.18 inference(bind,[status(th)],[])).
% 48.13/31.18 tff(1223,plain,
% 48.13/31.18 (![VarCurr: $i] : ((~v127(VarCurr, bitIndex2)) | (~v26(VarCurr))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))),
% 48.13/31.18 inference(quant_intro,[status(thm)],[1222])).
% 48.13/31.18 tff(1224,axiom,(![VarCurr: $i] : ((~v127(VarCurr, bitIndex2)) | (~v26(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_1_1_1_3')).
% 48.13/31.18 tff(1225,plain,
% 48.13/31.18 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))),
% 48.13/31.18 inference(modus_ponens,[status(thm)],[1224, 1223])).
% 48.13/31.18 tff(1226,plain,
% 48.13/31.18 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))),
% 48.13/31.18 inference(modus_ponens,[status(thm)],[1225, 1221])).
% 48.13/31.18 tff(1227,plain,(
% 48.13/31.18 ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))),
% 48.13/31.18 inference(skolemize,[status(sab)],[1226])).
% 48.13/31.18 tff(1228,plain,
% 48.13/31.18 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))),
% 48.13/31.18 inference(modus_ponens,[status(thm)],[1227, 1220])).
% 48.13/31.18 tff(1229,plain,
% 48.13/31.18 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB5)) | (~v127(constB5, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB5)) | (~v127(constB5, bitIndex2)))),
% 48.13/31.18 inference(rewrite,[status(thm)],[])).
% 48.13/31.18 tff(1230,plain,
% 48.13/31.18 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB5)) | (~v127(constB5, bitIndex2)))),
% 48.13/31.18 inference(quant_inst,[status(thm)],[])).
% 48.13/31.18 tff(1231,plain,
% 48.13/31.18 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB5)) | (~v127(constB5, bitIndex2))),
% 48.13/31.18 inference(modus_ponens,[status(thm)],[1230, 1229])).
% 48.13/31.18 tff(1232,plain,
% 48.13/31.18 ($false),
% 48.13/31.18 inference(unit_resolution,[status(thm)],[1231, 1228, 1182, 1218])).
% 48.13/31.18 tff(1233,plain,(~v127(constB5, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 48.13/31.18 tff(1234,plain,
% 48.13/31.18 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2))))),
% 48.13/31.18 inference(bind,[status(th)],[])).
% 48.13/31.18 tff(1235,plain,
% 48.13/31.18 (![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)))),
% 48.13/31.18 inference(quant_intro,[status(thm)],[1234])).
% 48.13/31.18 tff(1236,plain,
% 48.13/31.18 (![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)))),
% 48.13/31.18 inference(rewrite,[status(thm)],[])).
% 48.13/31.18 tff(1237,plain,
% 48.13/31.18 (^[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)))))),
% 48.13/31.18 inference(bind,[status(th)],[])).
% 48.13/31.18 tff(1238,plain,
% 48.13/31.18 (![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)))),
% 48.13/31.18 inference(quant_intro,[status(thm)],[1237])).
% 48.13/31.18 tff(1239,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')).
% 48.13/31.18 tff(1240,plain,
% 48.13/31.18 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 48.13/31.18 inference(modus_ponens,[status(thm)],[1239, 1238])).
% 48.13/31.18 tff(1241,plain,
% 48.13/31.18 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 48.13/31.18 inference(modus_ponens,[status(thm)],[1240, 1236])).
% 48.13/31.18 tff(1242,plain,(
% 48.13/31.18 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 48.13/31.18 inference(skolemize,[status(sab)],[1241])).
% 48.13/31.18 tff(1243,plain,
% 48.13/31.18 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))),
% 48.13/31.18 inference(modus_ponens,[status(thm)],[1242, 1235])).
% 48.13/31.18 tff(1244,plain,
% 48.13/31.18 (((~![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)))),
% 48.13/31.18 inference(rewrite,[status(thm)],[])).
% 48.13/31.18 tff(1245,plain,
% 48.13/31.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB5, constB6)) | v127(constB5, bitIndex2) | (~v129(constB6, bitIndex2)))),
% 48.13/31.18 inference(quant_inst,[status(thm)],[])).
% 48.13/31.18 tff(1246,plain,
% 48.13/31.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB5, constB6)) | v127(constB5, bitIndex2) | (~v129(constB6, bitIndex2))),
% 48.13/31.19 inference(modus_ponens,[status(thm)],[1245, 1244])).
% 48.13/31.19 tff(1247,plain,
% 48.13/31.19 (v127(constB5, bitIndex2) | (~v129(constB6, bitIndex2))),
% 48.13/31.19 inference(unit_resolution,[status(thm)],[1246, 1243, 934])).
% 48.13/31.19 tff(1248,plain,
% 48.13/31.19 (~v129(constB6, bitIndex2)),
% 48.13/31.19 inference(unit_resolution,[status(thm)],[1247, 1233])).
% 48.13/31.19 tff(1249,plain,
% 48.13/31.19 (^[VarNext: $i] : refl(((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2)) <=> ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2)))),
% 48.13/31.19 inference(bind,[status(th)],[])).
% 48.13/31.19 tff(1250,plain,
% 48.13/31.19 (![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2)) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))),
% 48.13/31.19 inference(quant_intro,[status(thm)],[1249])).
% 48.13/31.19 tff(1251,plain,
% 48.13/31.19 (![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2)) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))),
% 48.13/31.19 inference(rewrite,[status(thm)],[])).
% 48.13/31.19 tff(1252,plain,
% 48.13/31.19 (^[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))))),
% 48.13/31.19 inference(bind,[status(th)],[])).
% 48.13/31.19 tff(1253,plain,
% 48.13/31.19 (![VarNext: $i] : ((v129(VarNext, bitIndex2) | (~v90(VarNext, bitIndex2))) | (~v100(VarNext))) <=> ![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))),
% 48.13/31.19 inference(quant_intro,[status(thm)],[1252])).
% 48.13/31.19 tff(1254,axiom,(![VarNext: $i] : ((v129(VarNext, bitIndex2) | (~v90(VarNext, bitIndex2))) | (~v100(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_6')).
% 48.13/31.19 tff(1255,plain,
% 48.13/31.19 (![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))),
% 48.13/31.19 inference(modus_ponens,[status(thm)],[1254, 1253])).
% 48.13/31.19 tff(1256,plain,
% 48.13/31.19 (![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))),
% 48.13/31.19 inference(modus_ponens,[status(thm)],[1255, 1251])).
% 48.13/31.19 tff(1257,plain,(
% 48.13/31.19 ![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))),
% 48.13/31.19 inference(skolemize,[status(sab)],[1256])).
% 48.13/31.19 tff(1258,plain,
% 48.13/31.19 (![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))),
% 48.13/31.19 inference(modus_ponens,[status(thm)],[1257, 1250])).
% 48.13/31.19 tff(1259,plain,
% 48.13/31.19 (((~![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)))),
% 48.13/31.19 inference(rewrite,[status(thm)],[])).
% 48.13/31.19 tff(1260,plain,
% 48.13/31.19 (((~v90(constB6, bitIndex2)) | (~v100(constB6)) | v129(constB6, bitIndex2)) <=> ((~v90(constB6, bitIndex2)) | v129(constB6, bitIndex2) | (~v100(constB6)))),
% 48.13/31.19 inference(rewrite,[status(thm)],[])).
% 48.13/31.19 tff(1261,plain,
% 48.13/31.19 (((~![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))))),
% 48.13/31.19 inference(monotonicity,[status(thm)],[1260])).
% 48.13/31.19 tff(1262,plain,
% 48.13/31.19 (((~![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)))),
% 48.13/31.19 inference(transitivity,[status(thm)],[1261, 1259])).
% 48.13/31.19 tff(1263,plain,
% 48.13/31.19 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB6, bitIndex2)) | (~v100(constB6)) | v129(constB6, bitIndex2))),
% 48.13/31.19 inference(quant_inst,[status(thm)],[])).
% 48.13/31.19 tff(1264,plain,
% 48.13/31.19 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB6, bitIndex2)) | v129(constB6, bitIndex2) | (~v100(constB6))),
% 48.13/31.19 inference(modus_ponens,[status(thm)],[1263, 1262])).
% 48.13/31.19 tff(1265,plain,
% 48.13/31.19 ((~v90(constB6, bitIndex2)) | (~v100(constB6))),
% 48.13/31.19 inference(unit_resolution,[status(thm)],[1264, 1258, 1248])).
% 48.13/31.19 tff(1266,plain,
% 48.13/31.19 (~v90(constB6, bitIndex2)),
% 48.13/31.19 inference(unit_resolution,[status(thm)],[1265, 1078])).
% 48.13/31.19 tff(1267,plain,
% 48.13/31.19 (((~![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)))),
% 48.13/31.19 inference(rewrite,[status(thm)],[])).
% 48.13/31.19 tff(1268,plain,
% 48.13/31.19 (((~nextState(constB6, constB7)) | v90(constB6, bitIndex2) | v100(constB7) | (~v90(constB7, bitIndex2))) <=> (v90(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, bitIndex2)))),
% 48.13/31.19 inference(rewrite,[status(thm)],[])).
% 48.13/31.19 tff(1269,plain,
% 48.13/31.19 (((~![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))))),
% 48.13/31.19 inference(monotonicity,[status(thm)],[1268])).
% 48.13/31.19 tff(1270,plain,
% 48.13/31.19 (((~![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)))),
% 48.13/31.19 inference(transitivity,[status(thm)],[1269, 1267])).
% 48.13/31.19 tff(1271,plain,
% 48.13/31.19 ((~![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)))),
% 48.13/31.19 inference(quant_inst,[status(thm)],[])).
% 48.13/31.19 tff(1272,plain,
% 48.13/31.19 ((~![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))),
% 48.13/31.19 inference(modus_ponens,[status(thm)],[1271, 1270])).
% 48.13/31.19 tff(1273,plain,
% 48.13/31.19 (v90(constB6, bitIndex2) | v100(constB7) | (~v90(constB7, bitIndex2))),
% 48.13/31.19 inference(unit_resolution,[status(thm)],[1272, 81, 1102])).
% 48.13/31.19 tff(1274,plain,
% 48.13/31.19 (v90(constB6, bitIndex2) | (~v90(constB7, bitIndex2))),
% 48.13/31.19 inference(unit_resolution,[status(thm)],[1273, 1114])).
% 48.13/31.19 tff(1275,plain,
% 48.13/31.19 (~v90(constB7, bitIndex2)),
% 48.13/31.19 inference(unit_resolution,[status(thm)],[1274, 1266])).
% 48.13/31.19 tff(1276,plain,
% 48.13/31.19 (^[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)))),
% 48.13/31.19 inference(bind,[status(th)],[])).
% 48.13/31.19 tff(1277,plain,
% 48.13/31.19 (![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))),
% 48.13/31.19 inference(quant_intro,[status(thm)],[1276])).
% 48.13/31.19 tff(1278,plain,
% 48.13/31.19 (![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))),
% 48.13/31.19 inference(rewrite,[status(thm)],[])).
% 48.13/31.19 tff(1279,plain,
% 48.13/31.19 (^[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))))),
% 48.13/31.19 inference(bind,[status(th)],[])).
% 48.13/31.19 tff(1280,plain,
% 48.13/31.19 (![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))),
% 48.13/31.19 inference(quant_intro,[status(thm)],[1279])).
% 48.13/31.19 tff(1281,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')).
% 48.13/31.19 tff(1282,plain,
% 48.13/31.19 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 48.13/31.19 inference(modus_ponens,[status(thm)],[1281, 1280])).
% 48.13/31.19 tff(1283,plain,
% 48.13/31.19 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 48.13/31.19 inference(modus_ponens,[status(thm)],[1282, 1278])).
% 48.13/31.19 tff(1284,plain,(
% 48.13/31.19 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 48.13/31.19 inference(skolemize,[status(sab)],[1283])).
% 48.13/31.19 tff(1285,plain,
% 48.13/31.19 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))),
% 48.13/31.19 inference(modus_ponens,[status(thm)],[1284, 1277])).
% 48.13/31.19 tff(1286,plain,
% 48.13/31.19 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB7, bitIndex0)) | v90(constB7, bitIndex1) | v90(constB7, bitIndex2) | v120(constB7))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB7, bitIndex0)) | v90(constB7, bitIndex1) | v90(constB7, bitIndex2) | v120(constB7))),
% 48.13/31.19 inference(rewrite,[status(thm)],[])).
% 48.13/31.19 tff(1287,plain,
% 48.13/31.19 (((~v90(constB7, bitIndex0)) | v120(constB7) | v90(constB7, bitIndex1) | v90(constB7, bitIndex2)) <=> ((~v90(constB7, bitIndex0)) | v90(constB7, bitIndex1) | v90(constB7, bitIndex2) | v120(constB7))),
% 48.13/31.19 inference(rewrite,[status(thm)],[])).
% 48.13/31.19 tff(1288,plain,
% 48.13/31.19 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB7, bitIndex0)) | v120(constB7) | v90(constB7, bitIndex1) | v90(constB7, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB7, bitIndex0)) | v90(constB7, bitIndex1) | v90(constB7, bitIndex2) | v120(constB7)))),
% 48.13/31.19 inference(monotonicity,[status(thm)],[1287])).
% 48.13/31.19 tff(1289,plain,
% 48.13/31.19 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB7, bitIndex0)) | v120(constB7) | v90(constB7, bitIndex1) | v90(constB7, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB7, bitIndex0)) | v90(constB7, bitIndex1) | v90(constB7, bitIndex2) | v120(constB7))),
% 48.13/31.19 inference(transitivity,[status(thm)],[1288, 1286])).
% 48.13/31.19 tff(1290,plain,
% 48.13/31.19 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB7, bitIndex0)) | v120(constB7) | v90(constB7, bitIndex1) | v90(constB7, bitIndex2))),
% 48.13/31.19 inference(quant_inst,[status(thm)],[])).
% 48.13/31.19 tff(1291,plain,
% 48.13/31.19 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB7, bitIndex0)) | v90(constB7, bitIndex1) | v90(constB7, bitIndex2) | v120(constB7)),
% 48.13/31.19 inference(modus_ponens,[status(thm)],[1290, 1289])).
% 48.13/31.19 tff(1292,plain,
% 48.13/31.19 ((~v90(constB7, bitIndex0)) | v90(constB7, bitIndex1) | v120(constB7)),
% 48.13/31.19 inference(unit_resolution,[status(thm)],[1291, 1285, 1275])).
% 48.13/31.19 tff(1293,plain,
% 48.13/31.19 ($false),
% 48.13/31.19 inference(unit_resolution,[status(thm)],[1292, 1181, 1133, 28])).
% 48.13/31.19 tff(1294,plain,(v26(constB5) | v120(constB7)), inference(lemma,lemma(discharge,[]))).
% 48.13/31.19 tff(1295,plain,
% 48.13/31.19 (v120(constB7)),
% 48.13/31.19 inference(unit_resolution,[status(thm)],[1294, 27])).
% 48.13/31.19 tff(1296,plain,
% 48.13/31.19 (^[VarCurr: $i] : refl((v118(VarCurr) | (~v120(VarCurr))) <=> (v118(VarCurr) | (~v120(VarCurr))))),
% 48.13/31.19 inference(bind,[status(th)],[])).
% 48.13/31.19 tff(1297,plain,
% 48.13/31.19 (![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr))) <=> ![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))),
% 48.13/31.19 inference(quant_intro,[status(thm)],[1296])).
% 48.13/31.19 tff(1298,plain,
% 48.13/31.19 (![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr))) <=> ![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))),
% 48.13/31.19 inference(rewrite,[status(thm)],[])).
% 48.13/31.19 tff(1299,axiom,(![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_19_1_1')).
% 48.13/31.19 tff(1300,plain,
% 48.13/31.19 (![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))),
% 48.13/31.19 inference(modus_ponens,[status(thm)],[1299, 1298])).
% 48.13/31.19 tff(1301,plain,(
% 48.13/31.19 ![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))),
% 48.13/31.19 inference(skolemize,[status(sab)],[1300])).
% 48.13/31.19 tff(1302,plain,
% 48.13/31.19 (![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))),
% 48.13/31.19 inference(modus_ponens,[status(thm)],[1301, 1297])).
% 48.13/31.19 tff(1303,plain,
% 48.13/31.19 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB7) | (~v120(constB7)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB7) | (~v120(constB7)))),
% 48.13/31.19 inference(rewrite,[status(thm)],[])).
% 48.13/31.19 tff(1304,plain,
% 48.13/31.19 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB7) | (~v120(constB7)))),
% 48.13/31.19 inference(quant_inst,[status(thm)],[])).
% 48.13/31.19 tff(1305,plain,
% 48.13/31.19 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB7) | (~v120(constB7))),
% 48.13/31.19 inference(modus_ponens,[status(thm)],[1304, 1303])).
% 48.13/31.19 tff(1306,plain,
% 48.13/31.19 (v118(constB7)),
% 48.13/31.19 inference(unit_resolution,[status(thm)],[1305, 1302, 1295])).
% 48.13/31.19 tff(1307,plain,
% 48.13/31.19 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB7) | (~v118(constB7)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB7) | (~v118(constB7)))),
% 48.13/31.19 inference(rewrite,[status(thm)],[])).
% 48.13/31.19 tff(1308,plain,
% 48.13/31.19 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB7) | (~v118(constB7)))),
% 48.13/31.19 inference(quant_inst,[status(thm)],[])).
% 48.13/31.19 tff(1309,plain,
% 48.13/31.19 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB7) | (~v118(constB7))),
% 48.13/31.19 inference(modus_ponens,[status(thm)],[1308, 1307])).
% 48.13/31.19 tff(1310,plain,
% 48.13/31.19 (v117(constB7)),
% 48.13/31.19 inference(unit_resolution,[status(thm)],[1309, 166, 1306])).
% 48.13/31.19 tff(1311,plain,
% 48.13/31.19 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB7) | (~v117(constB7)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB7) | (~v117(constB7)))),
% 48.13/31.19 inference(rewrite,[status(thm)],[])).
% 48.13/31.19 tff(1312,plain,
% 48.13/31.19 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB7) | (~v117(constB7)))),
% 48.13/31.19 inference(quant_inst,[status(thm)],[])).
% 48.13/31.19 tff(1313,plain,
% 48.13/31.19 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB7) | (~v117(constB7))),
% 48.13/31.19 inference(modus_ponens,[status(thm)],[1312, 1311])).
% 48.13/31.19 tff(1314,plain,
% 48.13/31.19 (v116(constB7)),
% 48.13/31.19 inference(unit_resolution,[status(thm)],[1313, 177, 1310])).
% 48.13/31.19 tff(1315,plain,
% 48.13/31.19 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB7) | (~v116(constB7)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB7) | (~v116(constB7)))),
% 48.13/31.19 inference(rewrite,[status(thm)],[])).
% 48.13/31.19 tff(1316,plain,
% 48.13/31.19 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB7) | (~v116(constB7)))),
% 48.13/31.19 inference(quant_inst,[status(thm)],[])).
% 48.13/31.19 tff(1317,plain,
% 48.13/31.19 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB7) | (~v116(constB7))),
% 48.13/31.19 inference(modus_ponens,[status(thm)],[1316, 1315])).
% 48.13/31.19 tff(1318,plain,
% 48.13/31.19 (v115(constB7)),
% 48.13/31.19 inference(unit_resolution,[status(thm)],[1317, 188, 1314])).
% 48.13/31.19 tff(1319,plain,
% 48.13/31.19 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB7) | (~v115(constB7)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB7) | (~v115(constB7)))),
% 48.13/31.19 inference(rewrite,[status(thm)],[])).
% 48.13/31.19 tff(1320,plain,
% 48.13/31.19 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB7) | (~v115(constB7)))),
% 48.13/31.19 inference(quant_inst,[status(thm)],[])).
% 48.13/31.19 tff(1321,plain,
% 48.13/31.19 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB7) | (~v115(constB7))),
% 48.13/31.19 inference(modus_ponens,[status(thm)],[1320, 1319])).
% 48.13/31.19 tff(1322,plain,
% 48.13/31.19 (v114(constB7)),
% 48.13/31.19 inference(unit_resolution,[status(thm)],[1321, 199, 1318])).
% 48.13/31.19 tff(1323,plain,
% 48.13/31.19 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB7) | (~v114(constB7)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB7) | (~v114(constB7)))),
% 48.13/31.19 inference(rewrite,[status(thm)],[])).
% 48.13/31.19 tff(1324,plain,
% 48.13/31.19 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB7) | (~v114(constB7)))),
% 48.13/31.19 inference(quant_inst,[status(thm)],[])).
% 48.13/31.19 tff(1325,plain,
% 48.13/31.19 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB7) | (~v114(constB7))),
% 48.13/31.19 inference(modus_ponens,[status(thm)],[1324, 1323])).
% 48.13/31.19 tff(1326,plain,
% 48.13/31.19 (v113(constB7)),
% 48.13/31.19 inference(unit_resolution,[status(thm)],[1325, 210, 1322])).
% 48.13/31.19 tff(1327,plain,
% 48.13/31.19 (((~![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))),
% 48.13/31.19 inference(rewrite,[status(thm)],[])).
% 48.13/31.19 tff(1328,plain,
% 48.13/31.19 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB7) | (~v113(constB7)) | v112(constB7))),
% 48.13/31.19 inference(quant_inst,[status(thm)],[])).
% 48.13/31.19 tff(1329,plain,
% 48.13/31.19 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB7) | (~v113(constB7)) | v112(constB7)),
% 48.13/31.19 inference(modus_ponens,[status(thm)],[1328, 1327])).
% 48.13/31.19 tff(1330,plain,
% 48.13/31.19 (v26(constB7) | v112(constB7)),
% 48.13/31.19 inference(unit_resolution,[status(thm)],[1329, 224, 1326])).
% 48.13/31.19 tff(1331,plain,
% 48.13/31.19 (v112(constB7)),
% 48.13/31.19 inference(unit_resolution,[status(thm)],[1330, 23])).
% 48.13/31.19 tff(1332,plain,
% 48.13/31.19 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB7) | (~v112(constB7)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB7) | (~v112(constB7)))),
% 48.13/31.19 inference(rewrite,[status(thm)],[])).
% 48.13/31.19 tff(1333,plain,
% 48.13/31.19 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB7) | (~v112(constB7)))),
% 48.13/31.19 inference(quant_inst,[status(thm)],[])).
% 48.13/31.19 tff(1334,plain,
% 48.13/31.19 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB7) | (~v112(constB7))),
% 48.13/31.19 inference(modus_ponens,[status(thm)],[1333, 1332])).
% 48.13/31.19 tff(1335,plain,
% 48.13/31.19 (v108(constB7)),
% 48.13/31.19 inference(unit_resolution,[status(thm)],[1334, 236, 1331])).
% 48.13/31.19 tff(1336,plain,
% 48.13/31.19 (nextState(constB7, constB8) <=> nextState(constB7, constB8)),
% 48.13/31.19 inference(rewrite,[status(thm)],[])).
% 48.13/31.19 tff(1337,axiom,(nextState(constB7, constB8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_7_1')).
% 48.13/31.19 tff(1338,plain,
% 48.13/31.19 (nextState(constB7, constB8)),
% 48.13/31.19 inference(modus_ponens,[status(thm)],[1337, 1336])).
% 48.13/31.19 tff(1339,plain,
% 48.13/31.19 (((~![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)))),
% 48.13/31.19 inference(rewrite,[status(thm)],[])).
% 48.13/31.19 tff(1340,plain,
% 48.13/31.19 (((~nextState(constB7, constB8)) | (~v108(constB7)) | v110(constB8)) <=> ((~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7)))),
% 48.13/31.19 inference(rewrite,[status(thm)],[])).
% 48.13/31.19 tff(1341,plain,
% 48.13/31.19 (((~![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))))),
% 48.13/31.19 inference(monotonicity,[status(thm)],[1340])).
% 48.13/31.19 tff(1342,plain,
% 48.13/31.19 (((~![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)))),
% 48.13/31.19 inference(transitivity,[status(thm)],[1341, 1339])).
% 48.13/31.19 tff(1343,plain,
% 48.13/31.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB7, constB8)) | (~v108(constB7)) | v110(constB8))),
% 48.13/31.19 inference(quant_inst,[status(thm)],[])).
% 48.13/31.19 tff(1344,plain,
% 48.13/31.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7))),
% 48.13/31.19 inference(modus_ponens,[status(thm)],[1343, 1342])).
% 48.13/31.19 tff(1345,plain,
% 48.13/31.19 (v110(constB8) | (~v108(constB7))),
% 48.13/31.19 inference(unit_resolution,[status(thm)],[1344, 253, 1338])).
% 48.13/31.19 tff(1346,plain,
% 48.13/31.19 (v110(constB8)),
% 48.13/31.19 inference(unit_resolution,[status(thm)],[1345, 1335])).
% 48.13/31.19 tff(1347,plain,
% 48.13/31.19 (((~![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)))),
% 48.13/31.19 inference(rewrite,[status(thm)],[])).
% 48.13/31.19 tff(1348,plain,
% 48.13/31.19 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB7) | (~nextState(constB7, constB8)) | (~v104(constB8)))),
% 48.13/31.19 inference(quant_inst,[status(thm)],[])).
% 48.13/31.19 tff(1349,plain,
% 48.13/31.19 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB7) | (~nextState(constB7, constB8)) | (~v104(constB8))),
% 48.13/31.19 inference(modus_ponens,[status(thm)],[1348, 1347])).
% 48.13/31.19 tff(1350,plain,
% 48.13/31.19 (~v104(constB8)),
% 48.13/31.19 inference(unit_resolution,[status(thm)],[1349, 271, 1338, 1099])).
% 48.13/31.19 tff(1351,plain,
% 48.13/31.19 (((~![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))),
% 48.13/31.19 inference(rewrite,[status(thm)],[])).
% 48.13/31.19 tff(1352,plain,
% 48.13/31.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB7, constB8)) | v102(constB8) | v104(constB8))),
% 48.13/31.19 inference(quant_inst,[status(thm)],[])).
% 48.13/31.19 tff(1353,plain,
% 48.13/31.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB7, constB8)) | v102(constB8) | v104(constB8)),
% 48.13/31.19 inference(modus_ponens,[status(thm)],[1352, 1351])).
% 48.13/31.19 tff(1354,plain,
% 48.13/31.19 (v102(constB8) | v104(constB8)),
% 48.13/31.19 inference(unit_resolution,[status(thm)],[1353, 285, 1338])).
% 48.13/31.19 tff(1355,plain,
% 48.13/31.19 (v102(constB8)),
% 48.13/31.19 inference(unit_resolution,[status(thm)],[1354, 1350])).
% 48.13/31.19 tff(1356,plain,
% 48.13/31.19 (v1(constB8) <=> v1(constB8)),
% 48.13/31.19 inference(rewrite,[status(thm)],[])).
% 48.13/31.19 tff(1357,axiom,(v1(constB8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_8_1')).
% 48.13/31.19 tff(1358,plain,
% 48.13/31.19 (v1(constB8)),
% 48.13/31.19 inference(modus_ponens,[status(thm)],[1357, 1356])).
% 48.13/31.19 tff(1359,plain,
% 48.13/31.19 (((~![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)))),
% 48.13/31.19 inference(rewrite,[status(thm)],[])).
% 48.13/31.19 tff(1360,plain,
% 48.13/31.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB7, constB8)) | v101(constB8) | (~v102(constB8)) | (~v1(constB8)))),
% 48.13/31.19 inference(quant_inst,[status(thm)],[])).
% 48.13/31.19 tff(1361,plain,
% 48.13/31.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB7, constB8)) | v101(constB8) | (~v102(constB8)) | (~v1(constB8))),
% 48.13/31.19 inference(modus_ponens,[status(thm)],[1360, 1359])).
% 48.13/31.19 tff(1362,plain,
% 48.13/31.19 (v101(constB8) | (~v102(constB8))),
% 48.13/31.19 inference(unit_resolution,[status(thm)],[1361, 303, 1338, 1358])).
% 48.13/31.19 tff(1363,plain,
% 48.13/31.19 (v101(constB8)),
% 48.13/31.19 inference(unit_resolution,[status(thm)],[1362, 1355])).
% 48.13/31.19 tff(1364,plain,
% 48.13/31.19 (((~![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)))),
% 48.13/31.19 inference(rewrite,[status(thm)],[])).
% 48.13/31.19 tff(1365,plain,
% 48.13/31.19 (((~nextState(constB7, constB8)) | (~v101(constB8)) | (~v110(constB8)) | v100(constB8)) <=> ((~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8)))),
% 48.13/31.19 inference(rewrite,[status(thm)],[])).
% 48.13/31.19 tff(1366,plain,
% 48.13/31.19 (((~![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))))),
% 48.13/31.19 inference(monotonicity,[status(thm)],[1365])).
% 48.13/31.19 tff(1367,plain,
% 48.13/31.19 (((~![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)))),
% 48.13/31.19 inference(transitivity,[status(thm)],[1366, 1364])).
% 48.13/31.19 tff(1368,plain,
% 48.13/31.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB7, constB8)) | (~v101(constB8)) | (~v110(constB8)) | v100(constB8))),
% 48.13/31.19 inference(quant_inst,[status(thm)],[])).
% 48.13/31.19 tff(1369,plain,
% 48.13/31.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8))),
% 48.13/31.19 inference(modus_ponens,[status(thm)],[1368, 1367])).
% 48.13/31.19 tff(1370,plain,
% 48.13/31.19 (v100(constB8) | (~v101(constB8)) | (~v110(constB8))),
% 48.13/31.19 inference(unit_resolution,[status(thm)],[1369, 318, 1338])).
% 48.13/31.19 tff(1371,plain,
% 48.13/31.19 (v100(constB8) | (~v110(constB8))),
% 48.13/31.19 inference(unit_resolution,[status(thm)],[1370, 1363])).
% 48.13/31.19 tff(1372,plain,
% 48.13/31.19 (v100(constB8)),
% 48.13/31.19 inference(unit_resolution,[status(thm)],[1371, 1346])).
% 48.13/31.19 tff(1373,assumption,(v127(constB7, bitIndex2)), introduced(assumption)).
% 48.13/31.19 tff(1374,plain,
% 48.13/31.19 (^[VarCurr: $i] : refl(((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2))))),
% 48.13/31.19 inference(bind,[status(th)],[])).
% 48.13/31.19 tff(1375,plain,
% 48.13/31.19 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 48.13/31.19 inference(quant_intro,[status(thm)],[1374])).
% 48.13/31.19 tff(1376,plain,
% 48.13/31.19 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 48.13/31.19 inference(rewrite,[status(thm)],[])).
% 48.13/31.19 tff(1377,plain,
% 48.13/31.19 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex2)) | (~v120(VarCurr))) <=> ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2))))),
% 48.13/31.19 inference(bind,[status(th)],[])).
% 48.13/31.19 tff(1378,plain,
% 48.13/31.19 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex2)) | (~v120(VarCurr))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 48.13/31.19 inference(quant_intro,[status(thm)],[1377])).
% 48.13/31.19 tff(1379,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex2)) | (~v120(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_6_3')).
% 48.13/31.19 tff(1380,plain,
% 48.13/31.19 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 48.13/31.19 inference(modus_ponens,[status(thm)],[1379, 1378])).
% 48.13/31.19 tff(1381,plain,
% 48.13/31.19 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 48.13/31.19 inference(modus_ponens,[status(thm)],[1380, 1376])).
% 48.13/31.19 tff(1382,plain,(
% 48.13/31.19 ![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 48.13/31.19 inference(skolemize,[status(sab)],[1381])).
% 48.13/31.19 tff(1383,plain,
% 48.13/31.19 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 48.13/31.19 inference(modus_ponens,[status(thm)],[1382, 1375])).
% 48.13/31.19 tff(1384,plain,
% 48.13/31.19 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB7)) | (~v130(constB7, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB7)) | (~v130(constB7, bitIndex2)))),
% 48.13/31.19 inference(rewrite,[status(thm)],[])).
% 48.13/31.19 tff(1385,plain,
% 48.13/31.19 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB7)) | (~v130(constB7, bitIndex2)))),
% 48.13/31.19 inference(quant_inst,[status(thm)],[])).
% 48.13/31.19 tff(1386,plain,
% 48.13/31.19 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB7)) | (~v130(constB7, bitIndex2))),
% 48.13/31.19 inference(modus_ponens,[status(thm)],[1385, 1384])).
% 48.13/31.19 tff(1387,plain,
% 48.13/31.19 (~v130(constB7, bitIndex2)),
% 48.13/31.19 inference(unit_resolution,[status(thm)],[1386, 1383, 1295])).
% 48.13/31.19 tff(1388,plain,
% 48.13/31.19 (((~![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))),
% 48.13/31.20 inference(rewrite,[status(thm)],[])).
% 48.13/31.20 tff(1389,plain,
% 48.13/31.20 ((v26(constB7) | v130(constB7, bitIndex2) | (~v127(constB7, bitIndex2))) <=> ((~v127(constB7, bitIndex2)) | v26(constB7) | v130(constB7, bitIndex2))),
% 48.13/31.20 inference(rewrite,[status(thm)],[])).
% 48.13/31.20 tff(1390,plain,
% 48.13/31.20 (((~![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)))),
% 48.13/31.20 inference(monotonicity,[status(thm)],[1389])).
% 48.13/31.20 tff(1391,plain,
% 48.13/31.20 (((~![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))),
% 48.13/31.20 inference(transitivity,[status(thm)],[1390, 1388])).
% 48.13/31.20 tff(1392,plain,
% 48.13/31.20 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB7) | v130(constB7, bitIndex2) | (~v127(constB7, bitIndex2)))),
% 48.13/31.20 inference(quant_inst,[status(thm)],[])).
% 48.13/31.20 tff(1393,plain,
% 48.13/31.20 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB7, bitIndex2)) | v26(constB7) | v130(constB7, bitIndex2)),
% 48.13/31.20 inference(modus_ponens,[status(thm)],[1392, 1391])).
% 48.13/31.20 tff(1394,plain,
% 48.13/31.20 ((~v127(constB7, bitIndex2)) | v26(constB7)),
% 48.13/31.20 inference(unit_resolution,[status(thm)],[1393, 1210, 1387])).
% 48.13/31.20 tff(1395,plain,
% 48.13/31.20 (v26(constB7)),
% 48.13/31.20 inference(unit_resolution,[status(thm)],[1394, 1373])).
% 48.13/31.20 tff(1396,plain,
% 48.13/31.20 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB7)) | (~v127(constB7, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB7)) | (~v127(constB7, bitIndex2)))),
% 48.13/31.20 inference(rewrite,[status(thm)],[])).
% 48.13/31.20 tff(1397,plain,
% 48.13/31.20 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB7)) | (~v127(constB7, bitIndex2)))),
% 48.13/31.20 inference(quant_inst,[status(thm)],[])).
% 48.13/31.20 tff(1398,plain,
% 48.13/31.20 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB7)) | (~v127(constB7, bitIndex2))),
% 48.13/31.20 inference(modus_ponens,[status(thm)],[1397, 1396])).
% 48.13/31.20 tff(1399,plain,
% 48.13/31.20 ($false),
% 48.13/31.20 inference(unit_resolution,[status(thm)],[1398, 1228, 1373, 1395])).
% 48.13/31.20 tff(1400,plain,(~v127(constB7, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 48.13/31.20 tff(1401,plain,
% 48.13/31.20 (((~![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)))),
% 48.13/31.20 inference(rewrite,[status(thm)],[])).
% 48.13/31.20 tff(1402,plain,
% 48.13/31.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB7, constB8)) | v127(constB7, bitIndex2) | (~v129(constB8, bitIndex2)))),
% 48.13/31.20 inference(quant_inst,[status(thm)],[])).
% 48.13/31.20 tff(1403,plain,
% 48.13/31.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB7, constB8)) | v127(constB7, bitIndex2) | (~v129(constB8, bitIndex2))),
% 48.13/31.20 inference(modus_ponens,[status(thm)],[1402, 1401])).
% 48.13/31.20 tff(1404,plain,
% 48.13/31.20 (v127(constB7, bitIndex2) | (~v129(constB8, bitIndex2))),
% 48.13/31.20 inference(unit_resolution,[status(thm)],[1403, 1243, 1338])).
% 48.13/31.20 tff(1405,plain,
% 48.13/31.20 (~v129(constB8, bitIndex2)),
% 48.13/31.20 inference(unit_resolution,[status(thm)],[1404, 1400])).
% 48.13/31.20 tff(1406,plain,
% 48.13/31.20 (((~![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)))),
% 48.13/31.20 inference(rewrite,[status(thm)],[])).
% 48.13/31.20 tff(1407,plain,
% 48.13/31.20 (((~v90(constB8, bitIndex2)) | (~v100(constB8)) | v129(constB8, bitIndex2)) <=> ((~v90(constB8, bitIndex2)) | v129(constB8, bitIndex2) | (~v100(constB8)))),
% 48.13/31.20 inference(rewrite,[status(thm)],[])).
% 48.13/31.20 tff(1408,plain,
% 48.13/31.20 (((~![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))))),
% 48.13/31.20 inference(monotonicity,[status(thm)],[1407])).
% 48.13/31.20 tff(1409,plain,
% 48.13/31.20 (((~![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)))),
% 48.13/31.20 inference(transitivity,[status(thm)],[1408, 1406])).
% 48.13/31.20 tff(1410,plain,
% 48.13/31.20 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB8, bitIndex2)) | (~v100(constB8)) | v129(constB8, bitIndex2))),
% 48.13/31.20 inference(quant_inst,[status(thm)],[])).
% 48.13/31.20 tff(1411,plain,
% 48.13/31.20 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB8, bitIndex2)) | v129(constB8, bitIndex2) | (~v100(constB8))),
% 48.13/31.20 inference(modus_ponens,[status(thm)],[1410, 1409])).
% 48.13/31.20 tff(1412,plain,
% 48.13/31.20 ((~v90(constB8, bitIndex2)) | (~v100(constB8))),
% 48.13/31.20 inference(unit_resolution,[status(thm)],[1411, 1258, 1405])).
% 48.13/31.20 tff(1413,plain,
% 48.13/31.20 (~v90(constB8, bitIndex2)),
% 48.13/31.20 inference(unit_resolution,[status(thm)],[1412, 1372])).
% 48.13/31.20 tff(1414,plain,
% 48.13/31.20 ((~v1(constB9)) <=> (~v1(constB9))),
% 48.13/31.20 inference(rewrite,[status(thm)],[])).
% 48.13/31.20 tff(1415,axiom,(~v1(constB9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_9_1_1')).
% 48.13/31.20 tff(1416,plain,
% 48.13/31.20 (~v1(constB9)),
% 48.13/31.20 inference(modus_ponens,[status(thm)],[1415, 1414])).
% 48.13/31.20 tff(1417,plain,
% 48.13/31.20 (nextState(constB8, constB9) <=> nextState(constB8, constB9)),
% 48.13/31.20 inference(rewrite,[status(thm)],[])).
% 48.13/31.20 tff(1418,axiom,(nextState(constB8, constB9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_8_1')).
% 48.13/31.20 tff(1419,plain,
% 48.13/31.20 (nextState(constB8, constB9)),
% 48.13/31.20 inference(modus_ponens,[status(thm)],[1418, 1417])).
% 48.13/31.20 tff(1420,plain,
% 48.13/31.20 (((~![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)))),
% 48.13/31.20 inference(rewrite,[status(thm)],[])).
% 48.13/31.20 tff(1421,plain,
% 48.13/31.20 (((~nextState(constB8, constB9)) | (~v101(constB9)) | v1(constB9)) <=> (v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9)))),
% 48.13/31.20 inference(rewrite,[status(thm)],[])).
% 48.13/31.20 tff(1422,plain,
% 48.13/31.20 (((~![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))))),
% 48.13/31.20 inference(monotonicity,[status(thm)],[1421])).
% 48.13/31.20 tff(1423,plain,
% 48.13/31.20 (((~![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)))),
% 48.13/31.20 inference(transitivity,[status(thm)],[1422, 1420])).
% 48.13/31.20 tff(1424,plain,
% 48.13/31.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB8, constB9)) | (~v101(constB9)) | v1(constB9))),
% 48.13/31.20 inference(quant_inst,[status(thm)],[])).
% 48.13/31.20 tff(1425,plain,
% 48.13/31.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9))),
% 48.13/31.20 inference(modus_ponens,[status(thm)],[1424, 1423])).
% 48.13/31.20 tff(1426,plain,
% 48.13/31.20 (~v101(constB9)),
% 48.13/31.20 inference(unit_resolution,[status(thm)],[1425, 49, 1419, 1416])).
% 48.13/31.20 tff(1427,plain,
% 48.13/31.20 (((~![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)))),
% 48.13/31.20 inference(rewrite,[status(thm)],[])).
% 48.13/31.20 tff(1428,plain,
% 48.13/31.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB8, constB9)) | v101(constB9) | (~v100(constB9)))),
% 48.13/31.20 inference(quant_inst,[status(thm)],[])).
% 48.13/31.20 tff(1429,plain,
% 48.13/31.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB8, constB9)) | v101(constB9) | (~v100(constB9))),
% 48.13/31.20 inference(modus_ponens,[status(thm)],[1428, 1427])).
% 48.13/31.20 tff(1430,plain,
% 48.13/31.20 (v101(constB9) | (~v100(constB9))),
% 48.13/31.20 inference(unit_resolution,[status(thm)],[1429, 66, 1419])).
% 48.13/31.20 tff(1431,plain,
% 48.13/31.20 (~v100(constB9)),
% 48.13/31.20 inference(unit_resolution,[status(thm)],[1430, 1426])).
% 48.13/31.20 tff(1432,plain,
% 48.13/31.20 (((~![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)))),
% 48.13/31.20 inference(rewrite,[status(thm)],[])).
% 48.13/31.20 tff(1433,plain,
% 48.13/31.20 (((~nextState(constB8, constB9)) | v90(constB8, bitIndex2) | v100(constB9) | (~v90(constB9, bitIndex2))) <=> (v90(constB8, bitIndex2) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex2)))),
% 48.13/31.20 inference(rewrite,[status(thm)],[])).
% 48.13/31.20 tff(1434,plain,
% 48.13/31.20 (((~![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))))),
% 48.13/31.20 inference(monotonicity,[status(thm)],[1433])).
% 48.13/31.20 tff(1435,plain,
% 48.13/31.20 (((~![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)))),
% 48.13/31.20 inference(transitivity,[status(thm)],[1434, 1432])).
% 48.13/31.20 tff(1436,plain,
% 48.13/31.20 ((~![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)))),
% 48.13/31.20 inference(quant_inst,[status(thm)],[])).
% 48.13/31.20 tff(1437,plain,
% 48.13/31.20 ((~![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))),
% 48.13/31.20 inference(modus_ponens,[status(thm)],[1436, 1435])).
% 48.13/31.20 tff(1438,plain,
% 48.13/31.20 (v90(constB8, bitIndex2) | v100(constB9) | (~v90(constB9, bitIndex2))),
% 48.13/31.20 inference(unit_resolution,[status(thm)],[1437, 81, 1419])).
% 48.13/31.20 tff(1439,plain,
% 48.13/31.20 (v90(constB8, bitIndex2) | (~v90(constB9, bitIndex2))),
% 48.13/31.20 inference(unit_resolution,[status(thm)],[1438, 1431])).
% 48.13/31.20 tff(1440,plain,
% 48.13/31.20 (~v90(constB9, bitIndex2)),
% 48.13/31.20 inference(unit_resolution,[status(thm)],[1439, 1413])).
% 48.13/31.20 tff(1441,plain,
% 48.13/31.20 (^[VarCurr: $i] : refl(((~v120(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ((~v120(VarCurr)) | v130(VarCurr, bitIndex1)))),
% 48.13/31.20 inference(bind,[status(th)],[])).
% 48.13/31.20 tff(1442,plain,
% 48.13/31.20 (![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 48.13/31.20 inference(quant_intro,[status(thm)],[1441])).
% 48.13/31.20 tff(1443,plain,
% 48.13/31.20 (![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 48.13/31.20 inference(rewrite,[status(thm)],[])).
% 48.13/31.20 tff(1444,plain,
% 48.13/31.20 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex1) | (~v120(VarCurr))) <=> ((~v120(VarCurr)) | v130(VarCurr, bitIndex1)))),
% 48.13/31.20 inference(bind,[status(th)],[])).
% 48.13/31.20 tff(1445,plain,
% 48.13/31.20 (![VarCurr: $i] : (v130(VarCurr, bitIndex1) | (~v120(VarCurr))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 48.13/31.20 inference(quant_intro,[status(thm)],[1444])).
% 48.13/31.20 tff(1446,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex1) | (~v120(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_6_2')).
% 48.13/31.20 tff(1447,plain,
% 48.13/31.20 (![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 48.13/31.20 inference(modus_ponens,[status(thm)],[1446, 1445])).
% 48.13/31.20 tff(1448,plain,
% 48.13/31.20 (![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 48.13/31.20 inference(modus_ponens,[status(thm)],[1447, 1443])).
% 48.13/31.20 tff(1449,plain,(
% 48.13/31.20 ![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 48.13/31.20 inference(skolemize,[status(sab)],[1448])).
% 48.13/31.20 tff(1450,plain,
% 48.13/31.20 (![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))),
% 48.13/31.20 inference(modus_ponens,[status(thm)],[1449, 1442])).
% 48.13/31.20 tff(1451,plain,
% 48.13/31.20 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB7)) | v130(constB7, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB7)) | v130(constB7, bitIndex1))),
% 48.13/31.20 inference(rewrite,[status(thm)],[])).
% 48.13/31.20 tff(1452,plain,
% 48.13/31.20 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB7)) | v130(constB7, bitIndex1))),
% 48.13/31.20 inference(quant_inst,[status(thm)],[])).
% 48.13/31.20 tff(1453,plain,
% 48.13/31.20 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB7)) | v130(constB7, bitIndex1)),
% 48.13/31.20 inference(modus_ponens,[status(thm)],[1452, 1451])).
% 48.13/31.20 tff(1454,plain,
% 48.13/31.20 (v130(constB7, bitIndex1)),
% 48.13/31.20 inference(unit_resolution,[status(thm)],[1453, 1450, 1295])).
% 48.13/31.20 tff(1455,plain,
% 48.13/31.20 (((~![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))) | v26(constB7) | (~v130(constB7, bitIndex1)) | v127(constB7, bitIndex1))),
% 48.13/31.20 inference(rewrite,[status(thm)],[])).
% 48.13/31.20 tff(1456,plain,
% 48.13/31.20 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB7) | (~v130(constB7, bitIndex1)) | v127(constB7, bitIndex1))),
% 48.13/31.20 inference(quant_inst,[status(thm)],[])).
% 48.13/31.20 tff(1457,plain,
% 48.13/31.20 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB7) | (~v130(constB7, bitIndex1)) | v127(constB7, bitIndex1)),
% 48.13/31.20 inference(modus_ponens,[status(thm)],[1456, 1455])).
% 48.13/31.20 tff(1458,plain,
% 48.13/31.20 (v26(constB7) | v127(constB7, bitIndex1)),
% 48.13/31.20 inference(unit_resolution,[status(thm)],[1457, 681, 1454])).
% 48.13/31.20 tff(1459,plain,
% 48.13/31.20 (v127(constB7, bitIndex1)),
% 48.13/31.20 inference(unit_resolution,[status(thm)],[1458, 23])).
% 48.13/31.20 tff(1460,plain,
% 48.13/31.20 (((~![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))),
% 48.13/31.20 inference(rewrite,[status(thm)],[])).
% 48.13/31.20 tff(1461,plain,
% 48.13/31.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB7, constB8)) | (~v127(constB7, bitIndex1)) | v129(constB8, bitIndex1))),
% 48.13/31.20 inference(quant_inst,[status(thm)],[])).
% 48.13/31.20 tff(1462,plain,
% 48.13/31.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB7, constB8)) | (~v127(constB7, bitIndex1)) | v129(constB8, bitIndex1)),
% 48.13/31.20 inference(modus_ponens,[status(thm)],[1461, 1460])).
% 48.13/31.20 tff(1463,plain,
% 48.13/31.20 ((~v127(constB7, bitIndex1)) | v129(constB8, bitIndex1)),
% 48.13/31.20 inference(unit_resolution,[status(thm)],[1462, 696, 1338])).
% 48.13/31.20 tff(1464,plain,
% 48.13/31.20 (v129(constB8, bitIndex1)),
% 48.13/31.20 inference(unit_resolution,[status(thm)],[1463, 1459])).
% 48.13/31.20 tff(1465,plain,
% 48.13/31.20 (((~![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)))),
% 48.13/31.20 inference(rewrite,[status(thm)],[])).
% 48.13/31.20 tff(1466,plain,
% 48.13/31.20 ((v90(constB8, bitIndex1) | (~v100(constB8)) | (~v129(constB8, bitIndex1))) <=> (v90(constB8, bitIndex1) | (~v129(constB8, bitIndex1)) | (~v100(constB8)))),
% 48.13/31.20 inference(rewrite,[status(thm)],[])).
% 48.13/31.20 tff(1467,plain,
% 48.13/31.20 (((~![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))))),
% 48.13/31.20 inference(monotonicity,[status(thm)],[1466])).
% 48.13/31.20 tff(1468,plain,
% 48.13/31.20 (((~![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)))),
% 48.13/31.20 inference(transitivity,[status(thm)],[1467, 1465])).
% 48.13/31.20 tff(1469,plain,
% 48.13/31.20 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB8, bitIndex1) | (~v100(constB8)) | (~v129(constB8, bitIndex1)))),
% 48.13/31.20 inference(quant_inst,[status(thm)],[])).
% 48.13/31.20 tff(1470,plain,
% 48.13/31.20 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB8, bitIndex1) | (~v129(constB8, bitIndex1)) | (~v100(constB8))),
% 48.13/31.20 inference(modus_ponens,[status(thm)],[1469, 1468])).
% 48.13/31.20 tff(1471,plain,
% 48.13/31.20 (v90(constB8, bitIndex1) | (~v100(constB8))),
% 48.13/31.20 inference(unit_resolution,[status(thm)],[1470, 711, 1464])).
% 48.13/31.20 tff(1472,plain,
% 48.13/31.20 (v90(constB8, bitIndex1)),
% 48.13/31.20 inference(unit_resolution,[status(thm)],[1471, 1372])).
% 48.13/31.20 tff(1473,plain,
% 48.13/31.20 (((~![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))),
% 48.13/31.20 inference(rewrite,[status(thm)],[])).
% 48.13/31.20 tff(1474,plain,
% 48.13/31.20 (((~nextState(constB8, constB9)) | (~v90(constB8, bitIndex1)) | v100(constB9) | v90(constB9, bitIndex1)) <=> ((~v90(constB8, bitIndex1)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, bitIndex1))),
% 48.13/31.20 inference(rewrite,[status(thm)],[])).
% 48.13/31.20 tff(1475,plain,
% 48.13/31.20 (((~![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)))),
% 48.13/31.20 inference(monotonicity,[status(thm)],[1474])).
% 48.13/31.20 tff(1476,plain,
% 48.13/31.20 (((~![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))),
% 48.13/31.20 inference(transitivity,[status(thm)],[1475, 1473])).
% 48.13/31.20 tff(1477,plain,
% 48.13/31.20 ((~![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))),
% 48.13/31.20 inference(quant_inst,[status(thm)],[])).
% 48.13/31.20 tff(1478,plain,
% 48.13/31.20 ((~![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)),
% 48.13/31.20 inference(modus_ponens,[status(thm)],[1477, 1476])).
% 48.13/31.20 tff(1479,plain,
% 48.13/31.20 ((~v90(constB8, bitIndex1)) | v100(constB9) | v90(constB9, bitIndex1)),
% 48.13/31.20 inference(unit_resolution,[status(thm)],[1478, 747, 1419])).
% 48.13/31.20 tff(1480,plain,
% 48.13/31.20 ((~v90(constB8, bitIndex1)) | v90(constB9, bitIndex1)),
% 48.13/31.20 inference(unit_resolution,[status(thm)],[1479, 1431])).
% 48.13/31.20 tff(1481,plain,
% 48.13/31.20 (v90(constB9, bitIndex1)),
% 48.13/31.20 inference(unit_resolution,[status(thm)],[1480, 1472])).
% 48.13/31.20 tff(1482,assumption,(v127(constB7, bitIndex0)), introduced(assumption)).
% 48.13/31.20 tff(1483,plain,
% 48.13/31.20 (^[VarCurr: $i] : refl(((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0))))),
% 48.13/31.20 inference(bind,[status(th)],[])).
% 48.13/31.20 tff(1484,plain,
% 48.13/31.20 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 48.13/31.20 inference(quant_intro,[status(thm)],[1483])).
% 48.13/31.20 tff(1485,plain,
% 48.13/31.20 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 48.13/31.20 inference(rewrite,[status(thm)],[])).
% 48.13/31.20 tff(1486,plain,
% 48.13/31.20 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex0)) | (~v120(VarCurr))) <=> ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0))))),
% 48.13/31.20 inference(bind,[status(th)],[])).
% 48.13/31.20 tff(1487,plain,
% 48.13/31.20 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex0)) | (~v120(VarCurr))) <=> ![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 48.13/31.20 inference(quant_intro,[status(thm)],[1486])).
% 48.13/31.20 tff(1488,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex0)) | (~v120(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_6_1')).
% 48.13/31.20 tff(1489,plain,
% 48.13/31.20 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 48.13/31.20 inference(modus_ponens,[status(thm)],[1488, 1487])).
% 48.13/31.20 tff(1490,plain,
% 48.13/31.20 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 48.13/31.20 inference(modus_ponens,[status(thm)],[1489, 1485])).
% 48.13/31.20 tff(1491,plain,(
% 48.13/31.20 ![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 48.13/31.20 inference(skolemize,[status(sab)],[1490])).
% 48.13/31.20 tff(1492,plain,
% 48.13/31.20 (![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 48.13/31.20 inference(modus_ponens,[status(thm)],[1491, 1484])).
% 48.13/31.20 tff(1493,plain,
% 48.13/31.20 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB7)) | (~v130(constB7, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB7)) | (~v130(constB7, bitIndex0)))),
% 48.13/31.20 inference(rewrite,[status(thm)],[])).
% 48.13/31.20 tff(1494,plain,
% 48.13/31.20 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB7)) | (~v130(constB7, bitIndex0)))),
% 48.13/31.20 inference(quant_inst,[status(thm)],[])).
% 48.13/31.20 tff(1495,plain,
% 48.13/31.20 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB7)) | (~v130(constB7, bitIndex0))),
% 48.13/31.20 inference(modus_ponens,[status(thm)],[1494, 1493])).
% 48.13/31.20 tff(1496,plain,
% 48.13/31.20 (~v130(constB7, bitIndex0)),
% 48.13/31.20 inference(unit_resolution,[status(thm)],[1495, 1492, 1295])).
% 48.13/31.20 tff(1497,plain,
% 48.13/31.20 (((~![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))),
% 48.13/31.20 inference(rewrite,[status(thm)],[])).
% 48.13/31.20 tff(1498,plain,
% 48.13/31.20 ((v26(constB7) | v130(constB7, bitIndex0) | (~v127(constB7, bitIndex0))) <=> ((~v127(constB7, bitIndex0)) | v26(constB7) | v130(constB7, bitIndex0))),
% 48.13/31.20 inference(rewrite,[status(thm)],[])).
% 48.13/31.20 tff(1499,plain,
% 48.13/31.20 (((~![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)))),
% 48.13/31.20 inference(monotonicity,[status(thm)],[1498])).
% 48.13/31.20 tff(1500,plain,
% 48.13/31.20 (((~![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))),
% 48.13/31.20 inference(transitivity,[status(thm)],[1499, 1497])).
% 48.13/31.20 tff(1501,plain,
% 48.13/31.20 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB7) | v130(constB7, bitIndex0) | (~v127(constB7, bitIndex0)))),
% 48.13/31.20 inference(quant_inst,[status(thm)],[])).
% 48.13/31.20 tff(1502,plain,
% 48.13/31.20 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB7, bitIndex0)) | v26(constB7) | v130(constB7, bitIndex0)),
% 48.13/31.20 inference(modus_ponens,[status(thm)],[1501, 1500])).
% 48.13/31.20 tff(1503,plain,
% 48.13/31.20 ((~v127(constB7, bitIndex0)) | v26(constB7)),
% 48.13/31.20 inference(unit_resolution,[status(thm)],[1502, 524, 1496])).
% 48.13/31.20 tff(1504,plain,
% 48.13/31.20 (v26(constB7)),
% 48.13/31.20 inference(unit_resolution,[status(thm)],[1503, 1482])).
% 48.13/31.20 tff(1505,plain,
% 48.13/31.20 (^[VarCurr: $i] : refl(((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0))))),
% 48.13/31.20 inference(bind,[status(th)],[])).
% 48.13/31.20 tff(1506,plain,
% 48.13/31.20 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 48.13/31.20 inference(quant_intro,[status(thm)],[1505])).
% 48.13/31.20 tff(1507,plain,
% 48.13/31.20 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 48.13/31.20 inference(rewrite,[status(thm)],[])).
% 48.13/31.20 tff(1508,plain,
% 48.13/31.20 (^[VarCurr: $i] : rewrite(((~v127(VarCurr, bitIndex0)) | (~v26(VarCurr))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0))))),
% 48.13/31.20 inference(bind,[status(th)],[])).
% 48.13/31.20 tff(1509,plain,
% 48.13/31.20 (![VarCurr: $i] : ((~v127(VarCurr, bitIndex0)) | (~v26(VarCurr))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 48.13/31.20 inference(quant_intro,[status(thm)],[1508])).
% 48.13/31.20 tff(1510,axiom,(![VarCurr: $i] : ((~v127(VarCurr, bitIndex0)) | (~v26(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_1_1_1_1')).
% 48.13/31.20 tff(1511,plain,
% 48.13/31.20 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 48.13/31.20 inference(modus_ponens,[status(thm)],[1510, 1509])).
% 48.13/31.20 tff(1512,plain,
% 48.13/31.20 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 48.13/31.20 inference(modus_ponens,[status(thm)],[1511, 1507])).
% 48.13/31.20 tff(1513,plain,(
% 48.13/31.20 ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 48.13/31.20 inference(skolemize,[status(sab)],[1512])).
% 48.13/31.20 tff(1514,plain,
% 48.13/31.20 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))),
% 48.13/31.20 inference(modus_ponens,[status(thm)],[1513, 1506])).
% 48.13/31.20 tff(1515,plain,
% 48.13/31.20 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB7)) | (~v127(constB7, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB7)) | (~v127(constB7, bitIndex0)))),
% 48.13/31.20 inference(rewrite,[status(thm)],[])).
% 48.13/31.20 tff(1516,plain,
% 48.13/31.20 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB7)) | (~v127(constB7, bitIndex0)))),
% 48.13/31.20 inference(quant_inst,[status(thm)],[])).
% 48.13/31.20 tff(1517,plain,
% 48.13/31.20 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB7)) | (~v127(constB7, bitIndex0))),
% 48.13/31.20 inference(modus_ponens,[status(thm)],[1516, 1515])).
% 48.13/31.20 tff(1518,plain,
% 48.13/31.20 ($false),
% 48.13/31.20 inference(unit_resolution,[status(thm)],[1517, 1514, 1482, 1504])).
% 48.13/31.20 tff(1519,plain,(~v127(constB7, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 48.13/31.20 tff(1520,plain,
% 48.13/31.20 (((~![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)))),
% 48.13/31.20 inference(rewrite,[status(thm)],[])).
% 48.13/31.20 tff(1521,plain,
% 48.13/31.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB7, constB8)) | v127(constB7, bitIndex0) | (~v129(constB8, bitIndex0)))),
% 48.13/31.20 inference(quant_inst,[status(thm)],[])).
% 48.13/31.20 tff(1522,plain,
% 48.13/31.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB7, constB8)) | v127(constB7, bitIndex0) | (~v129(constB8, bitIndex0))),
% 48.13/31.20 inference(modus_ponens,[status(thm)],[1521, 1520])).
% 48.13/31.20 tff(1523,plain,
% 48.13/31.20 (v127(constB7, bitIndex0) | (~v129(constB8, bitIndex0))),
% 48.13/31.20 inference(unit_resolution,[status(thm)],[1522, 542, 1338])).
% 48.13/31.20 tff(1524,plain,
% 48.13/31.20 (~v129(constB8, bitIndex0)),
% 48.13/31.20 inference(unit_resolution,[status(thm)],[1523, 1519])).
% 48.13/31.20 tff(1525,plain,
% 48.13/31.20 (((~![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)))),
% 48.13/31.20 inference(rewrite,[status(thm)],[])).
% 48.13/31.20 tff(1526,plain,
% 48.13/31.20 (((~v90(constB8, bitIndex0)) | (~v100(constB8)) | v129(constB8, bitIndex0)) <=> ((~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0) | (~v100(constB8)))),
% 48.13/31.20 inference(rewrite,[status(thm)],[])).
% 48.13/31.20 tff(1527,plain,
% 48.13/31.20 (((~![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))))),
% 48.13/31.21 inference(monotonicity,[status(thm)],[1526])).
% 48.13/31.21 tff(1528,plain,
% 48.13/31.21 (((~![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)))),
% 48.13/31.21 inference(transitivity,[status(thm)],[1527, 1525])).
% 48.13/31.21 tff(1529,plain,
% 48.13/31.21 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB8, bitIndex0)) | (~v100(constB8)) | v129(constB8, bitIndex0))),
% 48.13/31.21 inference(quant_inst,[status(thm)],[])).
% 48.13/31.21 tff(1530,plain,
% 48.13/31.21 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB8, bitIndex0)) | v129(constB8, bitIndex0) | (~v100(constB8))),
% 48.13/31.21 inference(modus_ponens,[status(thm)],[1529, 1528])).
% 48.13/31.21 tff(1531,plain,
% 48.13/31.21 ((~v90(constB8, bitIndex0)) | (~v100(constB8))),
% 48.13/31.21 inference(unit_resolution,[status(thm)],[1530, 557, 1524])).
% 48.13/31.21 tff(1532,plain,
% 48.13/31.21 (~v90(constB8, bitIndex0)),
% 48.13/31.21 inference(unit_resolution,[status(thm)],[1531, 1372])).
% 48.13/31.21 tff(1533,plain,
% 48.13/31.21 (((~![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)))),
% 48.13/31.21 inference(rewrite,[status(thm)],[])).
% 48.13/31.21 tff(1534,plain,
% 48.13/31.21 (((~nextState(constB8, constB9)) | v90(constB8, bitIndex0) | v100(constB9) | (~v90(constB9, bitIndex0))) <=> (v90(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex0)))),
% 48.13/31.21 inference(rewrite,[status(thm)],[])).
% 48.13/31.21 tff(1535,plain,
% 48.13/31.21 (((~![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))))),
% 48.13/31.21 inference(monotonicity,[status(thm)],[1534])).
% 48.13/31.21 tff(1536,plain,
% 48.13/31.21 (((~![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)))),
% 48.13/31.21 inference(transitivity,[status(thm)],[1535, 1533])).
% 48.13/31.21 tff(1537,plain,
% 48.13/31.21 ((~![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)))),
% 48.13/31.21 inference(quant_inst,[status(thm)],[])).
% 48.13/31.21 tff(1538,plain,
% 48.13/31.21 ((~![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))),
% 48.13/31.21 inference(modus_ponens,[status(thm)],[1537, 1536])).
% 48.13/31.21 tff(1539,plain,
% 48.13/31.21 (v90(constB8, bitIndex0) | v100(constB9) | (~v90(constB9, bitIndex0))),
% 48.13/31.21 inference(unit_resolution,[status(thm)],[1538, 123, 1419])).
% 48.13/31.21 tff(1540,plain,
% 48.13/31.21 (v90(constB8, bitIndex0) | (~v90(constB9, bitIndex0))),
% 48.13/31.21 inference(unit_resolution,[status(thm)],[1539, 1431])).
% 48.13/31.21 tff(1541,plain,
% 48.13/31.21 (~v90(constB9, bitIndex0)),
% 48.13/31.21 inference(unit_resolution,[status(thm)],[1540, 1532])).
% 48.13/31.21 tff(1542,plain,
% 48.13/31.21 (^[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)))),
% 48.13/31.21 inference(bind,[status(th)],[])).
% 48.13/31.21 tff(1543,plain,
% 48.13/31.21 (![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))),
% 48.13/31.21 inference(quant_intro,[status(thm)],[1542])).
% 48.13/31.21 tff(1544,plain,
% 48.13/31.21 (![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))),
% 48.13/31.21 inference(rewrite,[status(thm)],[])).
% 48.13/31.21 tff(1545,plain,
% 48.13/31.21 (^[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))))),
% 48.13/31.21 inference(bind,[status(th)],[])).
% 48.13/31.21 tff(1546,plain,
% 48.13/31.21 (![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))),
% 48.13/31.21 inference(quant_intro,[status(thm)],[1545])).
% 48.13/31.21 tff(1547,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')).
% 48.13/31.21 tff(1548,plain,
% 48.13/31.21 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 48.13/31.21 inference(modus_ponens,[status(thm)],[1547, 1546])).
% 48.13/31.21 tff(1549,plain,
% 48.13/31.21 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 48.13/31.21 inference(modus_ponens,[status(thm)],[1548, 1544])).
% 48.13/31.21 tff(1550,plain,(
% 48.13/31.21 ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 48.13/31.21 inference(skolemize,[status(sab)],[1549])).
% 48.13/31.21 tff(1551,plain,
% 48.13/31.21 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))),
% 48.13/31.21 inference(modus_ponens,[status(thm)],[1550, 1543])).
% 48.13/31.21 tff(1552,plain,
% 48.13/31.21 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB9, bitIndex0) | (~v90(constB9, bitIndex1)) | v90(constB9, bitIndex2) | v121(constB9))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB9, bitIndex0) | (~v90(constB9, bitIndex1)) | v90(constB9, bitIndex2) | v121(constB9))),
% 48.13/31.21 inference(rewrite,[status(thm)],[])).
% 48.13/31.21 tff(1553,plain,
% 48.13/31.21 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB9, bitIndex0) | (~v90(constB9, bitIndex1)) | v90(constB9, bitIndex2) | v121(constB9))),
% 48.13/31.21 inference(quant_inst,[status(thm)],[])).
% 48.13/31.21 tff(1554,plain,
% 48.13/31.21 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB9, bitIndex0) | (~v90(constB9, bitIndex1)) | v90(constB9, bitIndex2) | v121(constB9)),
% 48.13/31.21 inference(modus_ponens,[status(thm)],[1553, 1552])).
% 48.13/31.21 tff(1555,plain,
% 48.13/31.21 (v121(constB9)),
% 48.13/31.21 inference(unit_resolution,[status(thm)],[1554, 1551, 1541, 1481, 1440])).
% 48.13/31.21 tff(1556,plain,
% 48.13/31.21 (^[VarCurr: $i] : refl((v117(VarCurr) | (~v121(VarCurr))) <=> (v117(VarCurr) | (~v121(VarCurr))))),
% 48.13/31.21 inference(bind,[status(th)],[])).
% 48.13/31.21 tff(1557,plain,
% 48.13/31.21 (![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr))) <=> ![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))),
% 48.13/31.21 inference(quant_intro,[status(thm)],[1556])).
% 48.13/31.21 tff(1558,plain,
% 48.13/31.21 (![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr))) <=> ![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))),
% 48.13/31.21 inference(rewrite,[status(thm)],[])).
% 48.13/31.21 tff(1559,axiom,(![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_20_1_1')).
% 48.13/31.21 tff(1560,plain,
% 48.13/31.21 (![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))),
% 48.13/31.21 inference(modus_ponens,[status(thm)],[1559, 1558])).
% 48.13/31.21 tff(1561,plain,(
% 48.13/31.21 ![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))),
% 48.13/31.21 inference(skolemize,[status(sab)],[1560])).
% 48.13/31.21 tff(1562,plain,
% 48.13/31.21 (![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))),
% 48.13/31.21 inference(modus_ponens,[status(thm)],[1561, 1557])).
% 48.13/31.21 tff(1563,plain,
% 48.13/31.21 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB9) | (~v121(constB9)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB9) | (~v121(constB9)))),
% 48.13/31.21 inference(rewrite,[status(thm)],[])).
% 48.13/31.21 tff(1564,plain,
% 48.13/31.21 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB9) | (~v121(constB9)))),
% 48.13/31.21 inference(quant_inst,[status(thm)],[])).
% 48.13/31.21 tff(1565,plain,
% 48.13/31.21 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB9) | (~v121(constB9))),
% 48.13/31.21 inference(modus_ponens,[status(thm)],[1564, 1563])).
% 48.13/31.21 tff(1566,plain,
% 48.13/31.21 (v117(constB9)),
% 48.13/31.21 inference(unit_resolution,[status(thm)],[1565, 1562, 1555])).
% 48.13/31.21 tff(1567,plain,
% 48.13/31.21 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB9) | (~v117(constB9)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB9) | (~v117(constB9)))),
% 48.13/31.21 inference(rewrite,[status(thm)],[])).
% 48.13/31.21 tff(1568,plain,
% 48.13/31.21 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB9) | (~v117(constB9)))),
% 48.13/31.21 inference(quant_inst,[status(thm)],[])).
% 48.13/31.21 tff(1569,plain,
% 48.13/31.21 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB9) | (~v117(constB9))),
% 48.13/31.21 inference(modus_ponens,[status(thm)],[1568, 1567])).
% 48.13/31.21 tff(1570,plain,
% 48.13/31.21 (v116(constB9)),
% 48.13/31.21 inference(unit_resolution,[status(thm)],[1569, 177, 1566])).
% 48.13/31.21 tff(1571,plain,
% 48.13/31.21 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB9) | (~v116(constB9)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB9) | (~v116(constB9)))),
% 48.13/31.21 inference(rewrite,[status(thm)],[])).
% 48.13/31.21 tff(1572,plain,
% 48.13/31.21 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB9) | (~v116(constB9)))),
% 48.13/31.21 inference(quant_inst,[status(thm)],[])).
% 48.13/31.21 tff(1573,plain,
% 48.13/31.21 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB9) | (~v116(constB9))),
% 48.13/31.21 inference(modus_ponens,[status(thm)],[1572, 1571])).
% 48.13/31.21 tff(1574,plain,
% 48.13/31.21 (v115(constB9)),
% 48.13/31.21 inference(unit_resolution,[status(thm)],[1573, 188, 1570])).
% 48.13/31.21 tff(1575,plain,
% 48.13/31.21 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB9) | (~v115(constB9)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB9) | (~v115(constB9)))),
% 48.13/31.21 inference(rewrite,[status(thm)],[])).
% 48.13/31.21 tff(1576,plain,
% 48.13/31.21 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB9) | (~v115(constB9)))),
% 48.13/31.21 inference(quant_inst,[status(thm)],[])).
% 48.13/31.21 tff(1577,plain,
% 48.13/31.21 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB9) | (~v115(constB9))),
% 48.13/31.21 inference(modus_ponens,[status(thm)],[1576, 1575])).
% 48.13/31.21 tff(1578,plain,
% 48.13/31.21 (v114(constB9)),
% 48.13/31.21 inference(unit_resolution,[status(thm)],[1577, 199, 1574])).
% 48.13/31.21 tff(1579,plain,
% 48.13/31.21 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB9) | (~v114(constB9)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB9) | (~v114(constB9)))),
% 48.13/31.21 inference(rewrite,[status(thm)],[])).
% 48.13/31.21 tff(1580,plain,
% 48.13/31.21 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB9) | (~v114(constB9)))),
% 48.13/31.21 inference(quant_inst,[status(thm)],[])).
% 48.13/31.21 tff(1581,plain,
% 48.13/31.21 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB9) | (~v114(constB9))),
% 48.13/31.21 inference(modus_ponens,[status(thm)],[1580, 1579])).
% 48.13/31.21 tff(1582,plain,
% 48.13/31.21 (v113(constB9)),
% 48.13/31.21 inference(unit_resolution,[status(thm)],[1581, 210, 1578])).
% 48.13/31.21 tff(1583,assumption,(v26(constB9)), introduced(assumption)).
% 48.13/31.21 tff(1584,plain,
% 48.13/31.21 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB9))),
% 48.13/31.21 inference(quant_inst,[status(thm)],[])).
% 48.13/31.21 tff(1585,plain,
% 48.13/31.21 ($false),
% 48.13/31.21 inference(unit_resolution,[status(thm)],[1584, 16, 1583])).
% 48.13/31.21 tff(1586,plain,(~v26(constB9)), inference(lemma,lemma(discharge,[]))).
% 48.13/31.21 tff(1587,plain,
% 48.13/31.21 (((~![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)))),
% 48.13/31.21 inference(rewrite,[status(thm)],[])).
% 48.13/31.21 tff(1588,plain,
% 48.13/31.21 ((v26(constB9) | (~v113(constB9)) | v112(constB9)) <=> (v26(constB9) | v112(constB9) | (~v113(constB9)))),
% 48.13/31.21 inference(rewrite,[status(thm)],[])).
% 48.13/31.21 tff(1589,plain,
% 48.13/31.21 (((~![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))))),
% 48.13/31.21 inference(monotonicity,[status(thm)],[1588])).
% 48.13/31.21 tff(1590,plain,
% 48.13/31.21 (((~![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)))),
% 48.13/31.21 inference(transitivity,[status(thm)],[1589, 1587])).
% 48.13/31.21 tff(1591,plain,
% 48.13/31.21 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB9) | (~v113(constB9)) | v112(constB9))),
% 48.13/31.21 inference(quant_inst,[status(thm)],[])).
% 48.13/31.21 tff(1592,plain,
% 48.13/31.21 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB9) | v112(constB9) | (~v113(constB9))),
% 48.13/31.21 inference(modus_ponens,[status(thm)],[1591, 1590])).
% 48.13/31.21 tff(1593,plain,
% 48.13/31.21 (v112(constB9) | (~v113(constB9))),
% 48.13/31.21 inference(unit_resolution,[status(thm)],[1592, 224, 1586])).
% 48.13/31.21 tff(1594,plain,
% 48.13/31.21 (v112(constB9)),
% 48.13/31.21 inference(unit_resolution,[status(thm)],[1593, 1582])).
% 48.13/31.21 tff(1595,plain,
% 48.13/31.21 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB9) | (~v112(constB9)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB9) | (~v112(constB9)))),
% 48.13/31.21 inference(rewrite,[status(thm)],[])).
% 48.13/31.21 tff(1596,plain,
% 48.13/31.21 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB9) | (~v112(constB9)))),
% 48.13/31.21 inference(quant_inst,[status(thm)],[])).
% 48.13/31.21 tff(1597,plain,
% 48.13/31.21 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB9) | (~v112(constB9))),
% 48.13/31.21 inference(modus_ponens,[status(thm)],[1596, 1595])).
% 48.13/31.21 tff(1598,plain,
% 48.13/31.21 (v108(constB9)),
% 48.13/31.21 inference(unit_resolution,[status(thm)],[1597, 236, 1594])).
% 48.13/31.21 tff(1599,plain,
% 48.13/31.21 (nextState(constB9, constB10) <=> nextState(constB9, constB10)),
% 48.13/31.21 inference(rewrite,[status(thm)],[])).
% 48.13/31.21 tff(1600,axiom,(nextState(constB9, constB10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_9_1')).
% 48.13/31.21 tff(1601,plain,
% 48.13/31.21 (nextState(constB9, constB10)),
% 48.13/31.21 inference(modus_ponens,[status(thm)],[1600, 1599])).
% 48.13/31.21 tff(1602,plain,
% 48.13/31.21 (((~![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)))),
% 48.13/31.21 inference(rewrite,[status(thm)],[])).
% 48.13/31.21 tff(1603,plain,
% 48.13/31.21 (((~nextState(constB9, constB10)) | (~v108(constB9)) | v110(constB10)) <=> ((~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9)))),
% 48.13/31.21 inference(rewrite,[status(thm)],[])).
% 48.13/31.21 tff(1604,plain,
% 48.13/31.21 (((~![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))))),
% 48.13/31.21 inference(monotonicity,[status(thm)],[1603])).
% 48.13/31.21 tff(1605,plain,
% 48.13/31.21 (((~![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)))),
% 48.13/31.21 inference(transitivity,[status(thm)],[1604, 1602])).
% 48.13/31.21 tff(1606,plain,
% 48.13/31.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB9, constB10)) | (~v108(constB9)) | v110(constB10))),
% 48.13/31.21 inference(quant_inst,[status(thm)],[])).
% 48.13/31.21 tff(1607,plain,
% 48.13/31.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9))),
% 48.13/31.21 inference(modus_ponens,[status(thm)],[1606, 1605])).
% 48.13/31.21 tff(1608,plain,
% 48.13/31.21 (v110(constB10) | (~v108(constB9))),
% 48.13/31.21 inference(unit_resolution,[status(thm)],[1607, 253, 1601])).
% 48.13/31.21 tff(1609,plain,
% 48.13/31.21 (v110(constB10)),
% 48.13/31.21 inference(unit_resolution,[status(thm)],[1608, 1598])).
% 48.13/31.21 tff(1610,plain,
% 48.13/31.21 (((~![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)))),
% 48.13/31.21 inference(rewrite,[status(thm)],[])).
% 48.13/31.21 tff(1611,plain,
% 48.13/31.21 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB9) | (~nextState(constB9, constB10)) | (~v104(constB10)))),
% 48.13/31.21 inference(quant_inst,[status(thm)],[])).
% 48.13/31.21 tff(1612,plain,
% 48.13/31.21 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB9) | (~nextState(constB9, constB10)) | (~v104(constB10))),
% 48.13/31.21 inference(modus_ponens,[status(thm)],[1611, 1610])).
% 48.13/31.21 tff(1613,plain,
% 48.13/31.21 (~v104(constB10)),
% 48.13/31.21 inference(unit_resolution,[status(thm)],[1612, 271, 1601, 1416])).
% 48.13/31.21 tff(1614,plain,
% 48.13/31.21 (((~![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))),
% 48.13/31.21 inference(rewrite,[status(thm)],[])).
% 48.13/31.21 tff(1615,plain,
% 48.13/31.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB9, constB10)) | v102(constB10) | v104(constB10))),
% 48.13/31.21 inference(quant_inst,[status(thm)],[])).
% 48.13/31.21 tff(1616,plain,
% 48.13/31.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB9, constB10)) | v102(constB10) | v104(constB10)),
% 48.13/31.21 inference(modus_ponens,[status(thm)],[1615, 1614])).
% 48.13/31.21 tff(1617,plain,
% 48.13/31.21 (v102(constB10) | v104(constB10)),
% 48.13/31.21 inference(unit_resolution,[status(thm)],[1616, 285, 1601])).
% 48.13/31.21 tff(1618,plain,
% 48.13/31.21 (v102(constB10)),
% 48.13/31.21 inference(unit_resolution,[status(thm)],[1617, 1613])).
% 48.13/31.21 tff(1619,plain,
% 48.13/31.21 (v1(constB10) <=> v1(constB10)),
% 48.13/31.21 inference(rewrite,[status(thm)],[])).
% 48.13/31.21 tff(1620,axiom,(v1(constB10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_10_1')).
% 48.13/31.21 tff(1621,plain,
% 48.13/31.21 (v1(constB10)),
% 48.13/31.21 inference(modus_ponens,[status(thm)],[1620, 1619])).
% 48.13/31.21 tff(1622,plain,
% 48.13/31.21 (((~![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)))),
% 48.13/31.21 inference(rewrite,[status(thm)],[])).
% 48.13/31.21 tff(1623,plain,
% 48.13/31.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB9, constB10)) | v101(constB10) | (~v102(constB10)) | (~v1(constB10)))),
% 48.13/31.21 inference(quant_inst,[status(thm)],[])).
% 48.13/31.21 tff(1624,plain,
% 48.13/31.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB9, constB10)) | v101(constB10) | (~v102(constB10)) | (~v1(constB10))),
% 48.13/31.21 inference(modus_ponens,[status(thm)],[1623, 1622])).
% 48.13/31.21 tff(1625,plain,
% 48.13/31.21 (v101(constB10) | (~v102(constB10))),
% 48.13/31.21 inference(unit_resolution,[status(thm)],[1624, 303, 1601, 1621])).
% 48.13/31.21 tff(1626,plain,
% 48.13/31.21 (v101(constB10)),
% 48.13/31.21 inference(unit_resolution,[status(thm)],[1625, 1618])).
% 48.13/31.21 tff(1627,plain,
% 48.13/31.21 (((~![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)))),
% 48.13/31.21 inference(rewrite,[status(thm)],[])).
% 48.13/31.21 tff(1628,plain,
% 48.13/31.21 (((~nextState(constB9, constB10)) | (~v101(constB10)) | (~v110(constB10)) | v100(constB10)) <=> ((~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10)))),
% 48.13/31.21 inference(rewrite,[status(thm)],[])).
% 48.13/31.21 tff(1629,plain,
% 48.13/31.21 (((~![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))))),
% 48.13/31.21 inference(monotonicity,[status(thm)],[1628])).
% 48.13/31.21 tff(1630,plain,
% 48.13/31.21 (((~![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)))),
% 48.13/31.21 inference(transitivity,[status(thm)],[1629, 1627])).
% 48.13/31.21 tff(1631,plain,
% 48.13/31.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB9, constB10)) | (~v101(constB10)) | (~v110(constB10)) | v100(constB10))),
% 48.13/31.21 inference(quant_inst,[status(thm)],[])).
% 48.13/31.21 tff(1632,plain,
% 48.13/31.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10))),
% 48.17/31.21 inference(modus_ponens,[status(thm)],[1631, 1630])).
% 48.17/31.21 tff(1633,plain,
% 48.17/31.21 (v100(constB10) | (~v101(constB10)) | (~v110(constB10))),
% 48.17/31.21 inference(unit_resolution,[status(thm)],[1632, 318, 1601])).
% 48.17/31.21 tff(1634,plain,
% 48.17/31.21 (v100(constB10) | (~v110(constB10))),
% 48.17/31.21 inference(unit_resolution,[status(thm)],[1633, 1626])).
% 48.17/31.21 tff(1635,plain,
% 48.17/31.21 (v100(constB10)),
% 48.17/31.21 inference(unit_resolution,[status(thm)],[1634, 1609])).
% 48.17/31.21 tff(1636,plain,
% 48.17/31.21 (^[VarCurr: $i] : refl(((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2))))),
% 48.17/31.21 inference(bind,[status(th)],[])).
% 48.17/31.21 tff(1637,plain,
% 48.17/31.21 (![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 48.17/31.21 inference(quant_intro,[status(thm)],[1636])).
% 48.17/31.21 tff(1638,plain,
% 48.17/31.21 (![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 48.17/31.21 inference(rewrite,[status(thm)],[])).
% 48.17/31.21 tff(1639,plain,
% 48.17/31.21 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex2)) | (~v121(VarCurr))) <=> ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2))))),
% 48.17/31.21 inference(bind,[status(th)],[])).
% 48.17/31.21 tff(1640,plain,
% 48.17/31.21 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex2)) | (~v121(VarCurr))) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 48.17/31.21 inference(quant_intro,[status(thm)],[1639])).
% 48.17/31.21 tff(1641,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex2)) | (~v121(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_4_3')).
% 48.17/31.21 tff(1642,plain,
% 48.17/31.21 (![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 48.17/31.21 inference(modus_ponens,[status(thm)],[1641, 1640])).
% 48.17/31.21 tff(1643,plain,
% 48.17/31.21 (![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 48.17/31.21 inference(modus_ponens,[status(thm)],[1642, 1638])).
% 48.17/31.21 tff(1644,plain,(
% 48.17/31.21 ![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 48.17/31.21 inference(skolemize,[status(sab)],[1643])).
% 48.17/31.21 tff(1645,plain,
% 48.17/31.21 (![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 48.17/31.21 inference(modus_ponens,[status(thm)],[1644, 1637])).
% 48.17/31.21 tff(1646,plain,
% 48.17/31.21 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB9)) | (~v130(constB9, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB9)) | (~v130(constB9, bitIndex2)))),
% 48.17/31.21 inference(rewrite,[status(thm)],[])).
% 48.17/31.21 tff(1647,plain,
% 48.17/31.21 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB9)) | (~v130(constB9, bitIndex2)))),
% 48.17/31.21 inference(quant_inst,[status(thm)],[])).
% 48.17/31.21 tff(1648,plain,
% 48.17/31.21 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB9)) | (~v130(constB9, bitIndex2))),
% 48.17/31.21 inference(modus_ponens,[status(thm)],[1647, 1646])).
% 48.17/31.21 tff(1649,plain,
% 48.17/31.21 (~v130(constB9, bitIndex2)),
% 48.17/31.21 inference(unit_resolution,[status(thm)],[1648, 1645, 1555])).
% 48.17/31.21 tff(1650,plain,
% 48.17/31.21 (((~![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))),
% 48.17/31.21 inference(rewrite,[status(thm)],[])).
% 48.17/31.21 tff(1651,plain,
% 48.17/31.21 ((v26(constB9) | v130(constB9, bitIndex2) | (~v127(constB9, bitIndex2))) <=> ((~v127(constB9, bitIndex2)) | v26(constB9) | v130(constB9, bitIndex2))),
% 48.17/31.21 inference(rewrite,[status(thm)],[])).
% 48.17/31.21 tff(1652,plain,
% 48.17/31.21 (((~![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)))),
% 48.17/31.21 inference(monotonicity,[status(thm)],[1651])).
% 48.17/31.21 tff(1653,plain,
% 48.17/31.21 (((~![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))),
% 48.17/31.21 inference(transitivity,[status(thm)],[1652, 1650])).
% 48.17/31.21 tff(1654,plain,
% 48.17/31.21 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB9) | v130(constB9, bitIndex2) | (~v127(constB9, bitIndex2)))),
% 48.17/31.21 inference(quant_inst,[status(thm)],[])).
% 48.17/31.21 tff(1655,plain,
% 48.17/31.21 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB9, bitIndex2)) | v26(constB9) | v130(constB9, bitIndex2)),
% 48.17/31.21 inference(modus_ponens,[status(thm)],[1654, 1653])).
% 48.17/31.21 tff(1656,plain,
% 48.17/31.21 ((~v127(constB9, bitIndex2)) | v130(constB9, bitIndex2)),
% 48.17/31.21 inference(unit_resolution,[status(thm)],[1655, 1210, 1586])).
% 48.17/31.21 tff(1657,plain,
% 48.17/31.21 (~v127(constB9, bitIndex2)),
% 48.17/31.21 inference(unit_resolution,[status(thm)],[1656, 1649])).
% 48.17/31.21 tff(1658,plain,
% 48.17/31.21 (((~![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)))),
% 48.17/31.21 inference(rewrite,[status(thm)],[])).
% 48.17/31.21 tff(1659,plain,
% 48.17/31.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB9, constB10)) | v127(constB9, bitIndex2) | (~v129(constB10, bitIndex2)))),
% 48.17/31.21 inference(quant_inst,[status(thm)],[])).
% 48.17/31.21 tff(1660,plain,
% 48.17/31.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB9, constB10)) | v127(constB9, bitIndex2) | (~v129(constB10, bitIndex2))),
% 48.17/31.21 inference(modus_ponens,[status(thm)],[1659, 1658])).
% 48.17/31.21 tff(1661,plain,
% 48.17/31.21 (v127(constB9, bitIndex2) | (~v129(constB10, bitIndex2))),
% 48.17/31.21 inference(unit_resolution,[status(thm)],[1660, 1243, 1601])).
% 48.17/31.21 tff(1662,plain,
% 48.17/31.21 (~v129(constB10, bitIndex2)),
% 48.17/31.21 inference(unit_resolution,[status(thm)],[1661, 1657])).
% 48.17/31.21 tff(1663,plain,
% 48.17/31.21 (((~![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)))),
% 48.17/31.21 inference(rewrite,[status(thm)],[])).
% 48.17/31.21 tff(1664,plain,
% 48.17/31.21 (((~v90(constB10, bitIndex2)) | (~v100(constB10)) | v129(constB10, bitIndex2)) <=> ((~v90(constB10, bitIndex2)) | v129(constB10, bitIndex2) | (~v100(constB10)))),
% 48.17/31.21 inference(rewrite,[status(thm)],[])).
% 48.17/31.21 tff(1665,plain,
% 48.17/31.21 (((~![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))))),
% 48.17/31.21 inference(monotonicity,[status(thm)],[1664])).
% 48.17/31.21 tff(1666,plain,
% 48.17/31.21 (((~![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)))),
% 48.17/31.21 inference(transitivity,[status(thm)],[1665, 1663])).
% 48.17/31.21 tff(1667,plain,
% 48.17/31.21 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB10, bitIndex2)) | (~v100(constB10)) | v129(constB10, bitIndex2))),
% 48.17/31.21 inference(quant_inst,[status(thm)],[])).
% 48.17/31.21 tff(1668,plain,
% 48.17/31.21 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB10, bitIndex2)) | v129(constB10, bitIndex2) | (~v100(constB10))),
% 48.17/31.21 inference(modus_ponens,[status(thm)],[1667, 1666])).
% 48.17/31.21 tff(1669,plain,
% 48.17/31.21 ((~v90(constB10, bitIndex2)) | (~v100(constB10))),
% 48.17/31.21 inference(unit_resolution,[status(thm)],[1668, 1258, 1662])).
% 48.17/31.21 tff(1670,plain,
% 48.17/31.21 (~v90(constB10, bitIndex2)),
% 48.17/31.21 inference(unit_resolution,[status(thm)],[1669, 1635])).
% 48.17/31.21 tff(1671,plain,
% 48.17/31.21 ((~v1(constB11)) <=> (~v1(constB11))),
% 48.17/31.21 inference(rewrite,[status(thm)],[])).
% 48.17/31.21 tff(1672,axiom,(~v1(constB11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_11_1_1')).
% 48.17/31.21 tff(1673,plain,
% 48.17/31.21 (~v1(constB11)),
% 48.17/31.21 inference(modus_ponens,[status(thm)],[1672, 1671])).
% 48.17/31.21 tff(1674,plain,
% 48.17/31.21 (nextState(constB10, constB11) <=> nextState(constB10, constB11)),
% 48.17/31.21 inference(rewrite,[status(thm)],[])).
% 48.17/31.21 tff(1675,axiom,(nextState(constB10, constB11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_10_1')).
% 48.17/31.21 tff(1676,plain,
% 48.17/31.21 (nextState(constB10, constB11)),
% 48.17/31.21 inference(modus_ponens,[status(thm)],[1675, 1674])).
% 48.17/31.21 tff(1677,plain,
% 48.17/31.21 (((~![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)))),
% 48.17/31.21 inference(rewrite,[status(thm)],[])).
% 48.17/31.21 tff(1678,plain,
% 48.17/31.21 (((~nextState(constB10, constB11)) | (~v101(constB11)) | v1(constB11)) <=> (v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11)))),
% 48.17/31.21 inference(rewrite,[status(thm)],[])).
% 48.17/31.21 tff(1679,plain,
% 48.17/31.21 (((~![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))))),
% 48.17/31.21 inference(monotonicity,[status(thm)],[1678])).
% 48.17/31.21 tff(1680,plain,
% 48.17/31.21 (((~![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)))),
% 48.17/31.21 inference(transitivity,[status(thm)],[1679, 1677])).
% 48.17/31.21 tff(1681,plain,
% 48.17/31.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB10, constB11)) | (~v101(constB11)) | v1(constB11))),
% 48.17/31.21 inference(quant_inst,[status(thm)],[])).
% 48.17/31.21 tff(1682,plain,
% 48.17/31.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11))),
% 48.17/31.21 inference(modus_ponens,[status(thm)],[1681, 1680])).
% 48.17/31.21 tff(1683,plain,
% 48.17/31.21 (~v101(constB11)),
% 48.17/31.21 inference(unit_resolution,[status(thm)],[1682, 49, 1676, 1673])).
% 48.17/31.21 tff(1684,plain,
% 48.17/31.21 (((~![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)))),
% 48.17/31.21 inference(rewrite,[status(thm)],[])).
% 48.17/31.21 tff(1685,plain,
% 48.17/31.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB10, constB11)) | v101(constB11) | (~v100(constB11)))),
% 48.17/31.21 inference(quant_inst,[status(thm)],[])).
% 48.17/31.21 tff(1686,plain,
% 48.17/31.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB10, constB11)) | v101(constB11) | (~v100(constB11))),
% 48.17/31.22 inference(modus_ponens,[status(thm)],[1685, 1684])).
% 48.17/31.22 tff(1687,plain,
% 48.17/31.22 (v101(constB11) | (~v100(constB11))),
% 48.17/31.22 inference(unit_resolution,[status(thm)],[1686, 66, 1676])).
% 48.17/31.22 tff(1688,plain,
% 48.17/31.22 (~v100(constB11)),
% 48.17/31.22 inference(unit_resolution,[status(thm)],[1687, 1683])).
% 48.17/31.22 tff(1689,plain,
% 48.17/31.22 (((~![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)))),
% 48.17/31.22 inference(rewrite,[status(thm)],[])).
% 48.17/31.22 tff(1690,plain,
% 48.17/31.22 (((~nextState(constB10, constB11)) | v90(constB10, bitIndex2) | v100(constB11) | (~v90(constB11, bitIndex2))) <=> (v90(constB10, bitIndex2) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex2)))),
% 48.17/31.22 inference(rewrite,[status(thm)],[])).
% 48.17/31.22 tff(1691,plain,
% 48.17/31.22 (((~![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))))),
% 48.17/31.22 inference(monotonicity,[status(thm)],[1690])).
% 48.17/31.22 tff(1692,plain,
% 48.17/31.22 (((~![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)))),
% 48.17/31.22 inference(transitivity,[status(thm)],[1691, 1689])).
% 48.17/31.22 tff(1693,plain,
% 48.17/31.22 ((~![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)))),
% 48.17/31.22 inference(quant_inst,[status(thm)],[])).
% 48.17/31.22 tff(1694,plain,
% 48.17/31.22 ((~![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))),
% 48.17/31.22 inference(modus_ponens,[status(thm)],[1693, 1692])).
% 48.17/31.22 tff(1695,plain,
% 48.17/31.22 (v90(constB10, bitIndex2) | v100(constB11) | (~v90(constB11, bitIndex2))),
% 48.17/31.22 inference(unit_resolution,[status(thm)],[1694, 81, 1676])).
% 48.17/31.22 tff(1696,plain,
% 48.17/31.22 (v90(constB10, bitIndex2) | (~v90(constB11, bitIndex2))),
% 48.17/31.22 inference(unit_resolution,[status(thm)],[1695, 1688])).
% 48.17/31.22 tff(1697,plain,
% 48.17/31.22 (~v90(constB11, bitIndex2)),
% 48.17/31.22 inference(unit_resolution,[status(thm)],[1696, 1670])).
% 48.17/31.22 tff(1698,plain,
% 48.17/31.22 (^[VarCurr: $i] : refl(((~v121(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ((~v121(VarCurr)) | v130(VarCurr, bitIndex1)))),
% 48.17/31.22 inference(bind,[status(th)],[])).
% 48.17/31.22 tff(1699,plain,
% 48.17/31.22 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 48.17/31.22 inference(quant_intro,[status(thm)],[1698])).
% 48.17/31.22 tff(1700,plain,
% 48.17/31.22 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 48.17/31.22 inference(rewrite,[status(thm)],[])).
% 48.17/31.22 tff(1701,plain,
% 48.17/31.22 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex1) | (~v121(VarCurr))) <=> ((~v121(VarCurr)) | v130(VarCurr, bitIndex1)))),
% 48.17/31.22 inference(bind,[status(th)],[])).
% 48.17/31.22 tff(1702,plain,
% 48.17/31.22 (![VarCurr: $i] : (v130(VarCurr, bitIndex1) | (~v121(VarCurr))) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 48.17/31.22 inference(quant_intro,[status(thm)],[1701])).
% 48.17/31.22 tff(1703,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex1) | (~v121(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_4_2')).
% 48.17/31.22 tff(1704,plain,
% 48.17/31.22 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 48.17/31.22 inference(modus_ponens,[status(thm)],[1703, 1702])).
% 48.17/31.22 tff(1705,plain,
% 48.17/31.22 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 48.17/31.22 inference(modus_ponens,[status(thm)],[1704, 1700])).
% 48.17/31.22 tff(1706,plain,(
% 48.17/31.22 ![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 48.17/31.22 inference(skolemize,[status(sab)],[1705])).
% 48.17/31.22 tff(1707,plain,
% 48.17/31.22 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))),
% 48.17/31.22 inference(modus_ponens,[status(thm)],[1706, 1699])).
% 48.17/31.22 tff(1708,plain,
% 48.17/31.22 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB9)) | v130(constB9, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB9)) | v130(constB9, bitIndex1))),
% 48.17/31.22 inference(rewrite,[status(thm)],[])).
% 48.17/31.22 tff(1709,plain,
% 48.17/31.22 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB9)) | v130(constB9, bitIndex1))),
% 48.17/31.22 inference(quant_inst,[status(thm)],[])).
% 48.17/31.22 tff(1710,plain,
% 48.17/31.22 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB9)) | v130(constB9, bitIndex1)),
% 48.17/31.22 inference(modus_ponens,[status(thm)],[1709, 1708])).
% 48.17/31.22 tff(1711,plain,
% 48.17/31.22 (v130(constB9, bitIndex1)),
% 48.17/31.22 inference(unit_resolution,[status(thm)],[1710, 1707, 1555])).
% 48.17/31.22 tff(1712,plain,
% 48.17/31.22 (((~![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))) | v26(constB9) | (~v130(constB9, bitIndex1)) | v127(constB9, bitIndex1))),
% 48.17/31.22 inference(rewrite,[status(thm)],[])).
% 48.17/31.22 tff(1713,plain,
% 48.17/31.22 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB9) | (~v130(constB9, bitIndex1)) | v127(constB9, bitIndex1))),
% 48.17/31.22 inference(quant_inst,[status(thm)],[])).
% 48.17/31.22 tff(1714,plain,
% 48.17/31.22 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB9) | (~v130(constB9, bitIndex1)) | v127(constB9, bitIndex1)),
% 48.17/31.22 inference(modus_ponens,[status(thm)],[1713, 1712])).
% 48.17/31.22 tff(1715,plain,
% 48.17/31.22 ((~v130(constB9, bitIndex1)) | v127(constB9, bitIndex1)),
% 48.17/31.22 inference(unit_resolution,[status(thm)],[1714, 681, 1586])).
% 48.17/31.22 tff(1716,plain,
% 48.17/31.22 (v127(constB9, bitIndex1)),
% 48.17/31.22 inference(unit_resolution,[status(thm)],[1715, 1711])).
% 48.17/31.22 tff(1717,plain,
% 48.17/31.22 (((~![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))),
% 48.17/31.22 inference(rewrite,[status(thm)],[])).
% 48.17/31.22 tff(1718,plain,
% 48.17/31.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB9, constB10)) | (~v127(constB9, bitIndex1)) | v129(constB10, bitIndex1))),
% 48.17/31.22 inference(quant_inst,[status(thm)],[])).
% 48.17/31.22 tff(1719,plain,
% 48.17/31.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB9, constB10)) | (~v127(constB9, bitIndex1)) | v129(constB10, bitIndex1)),
% 48.17/31.22 inference(modus_ponens,[status(thm)],[1718, 1717])).
% 48.17/31.22 tff(1720,plain,
% 48.17/31.22 ((~v127(constB9, bitIndex1)) | v129(constB10, bitIndex1)),
% 48.17/31.22 inference(unit_resolution,[status(thm)],[1719, 696, 1601])).
% 48.17/31.22 tff(1721,plain,
% 48.17/31.22 (v129(constB10, bitIndex1)),
% 48.17/31.22 inference(unit_resolution,[status(thm)],[1720, 1716])).
% 48.17/31.22 tff(1722,plain,
% 48.17/31.22 (((~![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)))),
% 48.17/31.22 inference(rewrite,[status(thm)],[])).
% 48.17/31.22 tff(1723,plain,
% 48.17/31.22 ((v90(constB10, bitIndex1) | (~v100(constB10)) | (~v129(constB10, bitIndex1))) <=> (v90(constB10, bitIndex1) | (~v129(constB10, bitIndex1)) | (~v100(constB10)))),
% 48.17/31.22 inference(rewrite,[status(thm)],[])).
% 48.17/31.22 tff(1724,plain,
% 48.17/31.22 (((~![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))))),
% 48.17/31.22 inference(monotonicity,[status(thm)],[1723])).
% 48.17/31.22 tff(1725,plain,
% 48.17/31.22 (((~![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)))),
% 48.17/31.22 inference(transitivity,[status(thm)],[1724, 1722])).
% 48.17/31.22 tff(1726,plain,
% 48.17/31.22 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB10, bitIndex1) | (~v100(constB10)) | (~v129(constB10, bitIndex1)))),
% 48.17/31.22 inference(quant_inst,[status(thm)],[])).
% 48.17/31.22 tff(1727,plain,
% 48.17/31.22 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB10, bitIndex1) | (~v129(constB10, bitIndex1)) | (~v100(constB10))),
% 48.17/31.22 inference(modus_ponens,[status(thm)],[1726, 1725])).
% 48.17/31.22 tff(1728,plain,
% 48.17/31.22 (v90(constB10, bitIndex1) | (~v100(constB10))),
% 48.17/31.22 inference(unit_resolution,[status(thm)],[1727, 711, 1721])).
% 48.17/31.22 tff(1729,plain,
% 48.17/31.22 (v90(constB10, bitIndex1)),
% 48.17/31.22 inference(unit_resolution,[status(thm)],[1728, 1635])).
% 48.17/31.22 tff(1730,plain,
% 48.17/31.22 (((~![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))),
% 48.17/31.22 inference(rewrite,[status(thm)],[])).
% 48.17/31.22 tff(1731,plain,
% 48.17/31.22 (((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex1)) | v100(constB11) | v90(constB11, bitIndex1)) <=> ((~v90(constB10, bitIndex1)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex1))),
% 48.17/31.22 inference(rewrite,[status(thm)],[])).
% 48.17/31.22 tff(1732,plain,
% 48.17/31.22 (((~![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)))),
% 48.17/31.22 inference(monotonicity,[status(thm)],[1731])).
% 48.17/31.22 tff(1733,plain,
% 48.17/31.22 (((~![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))),
% 48.17/31.22 inference(transitivity,[status(thm)],[1732, 1730])).
% 48.17/31.22 tff(1734,plain,
% 48.17/31.22 ((~![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))),
% 48.17/31.22 inference(quant_inst,[status(thm)],[])).
% 48.17/31.22 tff(1735,plain,
% 48.17/31.22 ((~![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)),
% 48.17/31.22 inference(modus_ponens,[status(thm)],[1734, 1733])).
% 48.17/31.22 tff(1736,plain,
% 48.17/31.22 ((~v90(constB10, bitIndex1)) | v100(constB11) | v90(constB11, bitIndex1)),
% 48.17/31.22 inference(unit_resolution,[status(thm)],[1735, 747, 1676])).
% 48.17/31.22 tff(1737,plain,
% 48.17/31.22 ((~v90(constB10, bitIndex1)) | v90(constB11, bitIndex1)),
% 48.17/31.22 inference(unit_resolution,[status(thm)],[1736, 1688])).
% 48.17/31.22 tff(1738,plain,
% 48.17/31.22 (v90(constB11, bitIndex1)),
% 48.17/31.22 inference(unit_resolution,[status(thm)],[1737, 1729])).
% 48.17/31.22 tff(1739,plain,
% 48.17/31.22 (^[VarCurr: $i] : refl(((~v121(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ((~v121(VarCurr)) | v130(VarCurr, bitIndex0)))),
% 48.17/31.22 inference(bind,[status(th)],[])).
% 48.17/31.22 tff(1740,plain,
% 48.17/31.22 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 48.17/31.22 inference(quant_intro,[status(thm)],[1739])).
% 48.17/31.22 tff(1741,plain,
% 48.17/31.22 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 48.17/31.22 inference(rewrite,[status(thm)],[])).
% 48.17/31.22 tff(1742,plain,
% 48.17/31.22 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex0) | (~v121(VarCurr))) <=> ((~v121(VarCurr)) | v130(VarCurr, bitIndex0)))),
% 48.17/31.22 inference(bind,[status(th)],[])).
% 48.17/31.22 tff(1743,plain,
% 48.17/31.22 (![VarCurr: $i] : (v130(VarCurr, bitIndex0) | (~v121(VarCurr))) <=> ![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 48.17/31.22 inference(quant_intro,[status(thm)],[1742])).
% 48.17/31.22 tff(1744,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex0) | (~v121(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_4_1')).
% 48.17/31.22 tff(1745,plain,
% 48.17/31.22 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 48.17/31.22 inference(modus_ponens,[status(thm)],[1744, 1743])).
% 48.17/31.22 tff(1746,plain,
% 48.17/31.22 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 48.17/31.22 inference(modus_ponens,[status(thm)],[1745, 1741])).
% 48.17/31.22 tff(1747,plain,(
% 48.17/31.22 ![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 48.17/31.22 inference(skolemize,[status(sab)],[1746])).
% 48.17/31.22 tff(1748,plain,
% 48.17/31.22 (![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))),
% 48.17/31.22 inference(modus_ponens,[status(thm)],[1747, 1740])).
% 48.17/31.22 tff(1749,plain,
% 48.17/31.22 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB9)) | v130(constB9, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB9)) | v130(constB9, bitIndex0))),
% 48.17/31.22 inference(rewrite,[status(thm)],[])).
% 48.17/31.22 tff(1750,plain,
% 48.17/31.22 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB9)) | v130(constB9, bitIndex0))),
% 48.17/31.22 inference(quant_inst,[status(thm)],[])).
% 48.17/31.22 tff(1751,plain,
% 48.17/31.22 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB9)) | v130(constB9, bitIndex0)),
% 48.17/31.22 inference(modus_ponens,[status(thm)],[1750, 1749])).
% 48.17/31.22 tff(1752,plain,
% 48.17/31.22 (v130(constB9, bitIndex0)),
% 48.17/31.22 inference(unit_resolution,[status(thm)],[1751, 1748, 1555])).
% 48.17/31.22 tff(1753,plain,
% 48.17/31.22 (((~![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))),
% 48.17/31.22 inference(rewrite,[status(thm)],[])).
% 48.17/31.22 tff(1754,plain,
% 48.17/31.22 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB9) | (~v130(constB9, bitIndex0)) | v127(constB9, bitIndex0))),
% 48.17/31.22 inference(quant_inst,[status(thm)],[])).
% 48.17/31.22 tff(1755,plain,
% 48.17/31.22 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB9) | (~v130(constB9, bitIndex0)) | v127(constB9, bitIndex0)),
% 48.17/31.22 inference(modus_ponens,[status(thm)],[1754, 1753])).
% 48.17/31.22 tff(1756,plain,
% 48.17/31.22 ((~v130(constB9, bitIndex0)) | v127(constB9, bitIndex0)),
% 48.17/31.22 inference(unit_resolution,[status(thm)],[1755, 926, 1586])).
% 48.17/31.22 tff(1757,plain,
% 48.17/31.22 (v127(constB9, bitIndex0)),
% 48.17/31.22 inference(unit_resolution,[status(thm)],[1756, 1752])).
% 48.17/31.22 tff(1758,plain,
% 48.17/31.22 (((~![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))),
% 48.17/31.22 inference(rewrite,[status(thm)],[])).
% 48.17/31.22 tff(1759,plain,
% 48.17/31.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB9, constB10)) | (~v127(constB9, bitIndex0)) | v129(constB10, bitIndex0))),
% 48.17/31.22 inference(quant_inst,[status(thm)],[])).
% 48.17/31.22 tff(1760,plain,
% 48.17/31.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB9, constB10)) | (~v127(constB9, bitIndex0)) | v129(constB10, bitIndex0)),
% 48.17/31.22 inference(modus_ponens,[status(thm)],[1759, 1758])).
% 48.17/31.22 tff(1761,plain,
% 48.17/31.22 ((~v127(constB9, bitIndex0)) | v129(constB10, bitIndex0)),
% 48.17/31.22 inference(unit_resolution,[status(thm)],[1760, 944, 1601])).
% 48.17/31.22 tff(1762,plain,
% 48.17/31.22 (v129(constB10, bitIndex0)),
% 48.17/31.22 inference(unit_resolution,[status(thm)],[1761, 1757])).
% 48.17/31.22 tff(1763,plain,
% 48.17/31.22 (((~![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)))),
% 48.17/31.22 inference(rewrite,[status(thm)],[])).
% 48.17/31.22 tff(1764,plain,
% 48.17/31.22 ((v90(constB10, bitIndex0) | (~v100(constB10)) | (~v129(constB10, bitIndex0))) <=> (v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0)) | (~v100(constB10)))),
% 48.17/31.22 inference(rewrite,[status(thm)],[])).
% 48.17/31.22 tff(1765,plain,
% 48.17/31.22 (((~![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))))),
% 48.17/31.22 inference(monotonicity,[status(thm)],[1764])).
% 48.17/31.22 tff(1766,plain,
% 48.17/31.22 (((~![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)))),
% 48.17/31.22 inference(transitivity,[status(thm)],[1765, 1763])).
% 48.17/31.22 tff(1767,plain,
% 48.17/31.22 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB10, bitIndex0) | (~v100(constB10)) | (~v129(constB10, bitIndex0)))),
% 48.17/31.22 inference(quant_inst,[status(thm)],[])).
% 48.17/31.22 tff(1768,plain,
% 48.17/31.22 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB10, bitIndex0) | (~v129(constB10, bitIndex0)) | (~v100(constB10))),
% 48.17/31.22 inference(modus_ponens,[status(thm)],[1767, 1766])).
% 48.17/31.22 tff(1769,plain,
% 48.17/31.22 (v90(constB10, bitIndex0) | (~v100(constB10))),
% 48.17/31.22 inference(unit_resolution,[status(thm)],[1768, 1088, 1762])).
% 48.17/31.22 tff(1770,plain,
% 48.17/31.22 (v90(constB10, bitIndex0)),
% 48.17/31.22 inference(unit_resolution,[status(thm)],[1769, 1635])).
% 48.17/31.22 tff(1771,plain,
% 48.17/31.22 (((~![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))),
% 48.17/31.22 inference(rewrite,[status(thm)],[])).
% 48.17/31.22 tff(1772,plain,
% 48.17/31.22 (((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex0)) | v100(constB11) | v90(constB11, bitIndex0)) <=> ((~v90(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex0))),
% 48.17/31.22 inference(rewrite,[status(thm)],[])).
% 48.17/31.22 tff(1773,plain,
% 48.17/31.22 (((~![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)))),
% 48.17/31.22 inference(monotonicity,[status(thm)],[1772])).
% 48.17/31.22 tff(1774,plain,
% 48.17/31.22 (((~![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))),
% 48.17/31.22 inference(transitivity,[status(thm)],[1773, 1771])).
% 48.17/31.22 tff(1775,plain,
% 48.17/31.22 ((~![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))),
% 48.17/31.22 inference(quant_inst,[status(thm)],[])).
% 48.17/31.22 tff(1776,plain,
% 48.17/31.22 ((~![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)),
% 48.17/31.22 inference(modus_ponens,[status(thm)],[1775, 1774])).
% 48.17/31.22 tff(1777,plain,
% 48.17/31.22 ((~v90(constB10, bitIndex0)) | v100(constB11) | v90(constB11, bitIndex0)),
% 48.17/31.22 inference(unit_resolution,[status(thm)],[1776, 1124, 1676])).
% 48.17/31.22 tff(1778,plain,
% 48.17/31.22 ((~v90(constB10, bitIndex0)) | v90(constB11, bitIndex0)),
% 48.17/31.22 inference(unit_resolution,[status(thm)],[1777, 1688])).
% 48.17/31.22 tff(1779,plain,
% 48.17/31.22 (v90(constB11, bitIndex0)),
% 48.17/31.22 inference(unit_resolution,[status(thm)],[1778, 1770])).
% 48.17/31.22 tff(1780,plain,
% 48.17/31.22 (^[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)))),
% 48.17/31.22 inference(bind,[status(th)],[])).
% 48.17/31.22 tff(1781,plain,
% 48.17/31.22 (![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))),
% 48.17/31.22 inference(quant_intro,[status(thm)],[1780])).
% 48.17/31.22 tff(1782,plain,
% 48.17/31.22 (![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))),
% 48.17/31.22 inference(rewrite,[status(thm)],[])).
% 48.17/31.22 tff(1783,plain,
% 48.17/31.22 (^[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))))),
% 48.17/31.22 inference(bind,[status(th)],[])).
% 48.17/31.22 tff(1784,plain,
% 48.17/31.22 (![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))),
% 48.17/31.22 inference(quant_intro,[status(thm)],[1783])).
% 48.17/31.22 tff(1785,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')).
% 48.17/31.22 tff(1786,plain,
% 48.17/31.22 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 48.17/31.22 inference(modus_ponens,[status(thm)],[1785, 1784])).
% 48.17/31.22 tff(1787,plain,
% 48.17/31.22 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 48.17/31.22 inference(modus_ponens,[status(thm)],[1786, 1782])).
% 48.17/31.22 tff(1788,plain,(
% 48.17/31.22 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 48.17/31.22 inference(skolemize,[status(sab)],[1787])).
% 48.17/31.22 tff(1789,plain,
% 48.17/31.22 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))),
% 48.17/31.22 inference(modus_ponens,[status(thm)],[1788, 1781])).
% 48.17/31.22 tff(1790,plain,
% 48.17/31.22 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB11, bitIndex0)) | (~v90(constB11, bitIndex1)) | v90(constB11, bitIndex2) | v122(constB11))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB11, bitIndex0)) | (~v90(constB11, bitIndex1)) | v90(constB11, bitIndex2) | v122(constB11))),
% 48.17/31.22 inference(rewrite,[status(thm)],[])).
% 48.17/31.22 tff(1791,plain,
% 48.17/31.22 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB11, bitIndex0)) | (~v90(constB11, bitIndex1)) | v90(constB11, bitIndex2) | v122(constB11))),
% 48.17/31.22 inference(quant_inst,[status(thm)],[])).
% 48.17/31.22 tff(1792,plain,
% 48.17/31.22 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB11, bitIndex0)) | (~v90(constB11, bitIndex1)) | v90(constB11, bitIndex2) | v122(constB11)),
% 48.17/31.22 inference(modus_ponens,[status(thm)],[1791, 1790])).
% 48.17/31.22 tff(1793,plain,
% 48.17/31.22 (v122(constB11)),
% 48.17/31.22 inference(unit_resolution,[status(thm)],[1792, 1789, 1779, 1738, 1697])).
% 48.17/31.22 tff(1794,plain,
% 48.17/31.22 (^[VarCurr: $i] : refl((v116(VarCurr) | (~v122(VarCurr))) <=> (v116(VarCurr) | (~v122(VarCurr))))),
% 48.17/31.22 inference(bind,[status(th)],[])).
% 48.17/31.22 tff(1795,plain,
% 48.17/31.22 (![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr))) <=> ![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))),
% 48.17/31.22 inference(quant_intro,[status(thm)],[1794])).
% 48.17/31.22 tff(1796,plain,
% 48.17/31.22 (![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr))) <=> ![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))),
% 48.17/31.22 inference(rewrite,[status(thm)],[])).
% 48.17/31.22 tff(1797,axiom,(![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_21_1_1')).
% 48.17/31.22 tff(1798,plain,
% 48.17/31.22 (![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))),
% 48.17/31.22 inference(modus_ponens,[status(thm)],[1797, 1796])).
% 48.17/31.22 tff(1799,plain,(
% 48.17/31.22 ![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))),
% 48.17/31.22 inference(skolemize,[status(sab)],[1798])).
% 48.17/31.22 tff(1800,plain,
% 48.17/31.22 (![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))),
% 48.17/31.22 inference(modus_ponens,[status(thm)],[1799, 1795])).
% 48.17/31.22 tff(1801,plain,
% 48.17/31.22 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB11) | (~v122(constB11)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB11) | (~v122(constB11)))),
% 48.17/31.22 inference(rewrite,[status(thm)],[])).
% 48.17/31.22 tff(1802,plain,
% 48.17/31.22 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB11) | (~v122(constB11)))),
% 48.17/31.22 inference(quant_inst,[status(thm)],[])).
% 48.17/31.22 tff(1803,plain,
% 48.17/31.22 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB11) | (~v122(constB11))),
% 48.17/31.22 inference(modus_ponens,[status(thm)],[1802, 1801])).
% 48.17/31.22 tff(1804,plain,
% 48.17/31.22 (v116(constB11)),
% 48.17/31.22 inference(unit_resolution,[status(thm)],[1803, 1800, 1793])).
% 48.17/31.22 tff(1805,plain,
% 48.17/31.22 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB11) | (~v116(constB11)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB11) | (~v116(constB11)))),
% 48.17/31.22 inference(rewrite,[status(thm)],[])).
% 48.17/31.22 tff(1806,plain,
% 48.17/31.22 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB11) | (~v116(constB11)))),
% 48.17/31.22 inference(quant_inst,[status(thm)],[])).
% 48.17/31.22 tff(1807,plain,
% 48.17/31.22 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB11) | (~v116(constB11))),
% 48.17/31.22 inference(modus_ponens,[status(thm)],[1806, 1805])).
% 48.17/31.22 tff(1808,plain,
% 48.17/31.22 (v115(constB11)),
% 48.17/31.22 inference(unit_resolution,[status(thm)],[1807, 188, 1804])).
% 48.17/31.22 tff(1809,plain,
% 48.17/31.22 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB11) | (~v115(constB11)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB11) | (~v115(constB11)))),
% 48.17/31.22 inference(rewrite,[status(thm)],[])).
% 48.17/31.22 tff(1810,plain,
% 48.17/31.22 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB11) | (~v115(constB11)))),
% 48.17/31.22 inference(quant_inst,[status(thm)],[])).
% 48.17/31.22 tff(1811,plain,
% 48.17/31.22 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB11) | (~v115(constB11))),
% 48.17/31.22 inference(modus_ponens,[status(thm)],[1810, 1809])).
% 48.17/31.22 tff(1812,plain,
% 48.17/31.22 (v114(constB11)),
% 48.17/31.22 inference(unit_resolution,[status(thm)],[1811, 199, 1808])).
% 48.17/31.22 tff(1813,plain,
% 48.17/31.22 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB11) | (~v114(constB11)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB11) | (~v114(constB11)))),
% 48.17/31.22 inference(rewrite,[status(thm)],[])).
% 48.17/31.22 tff(1814,plain,
% 48.17/31.22 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB11) | (~v114(constB11)))),
% 48.17/31.22 inference(quant_inst,[status(thm)],[])).
% 48.17/31.22 tff(1815,plain,
% 48.17/31.22 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB11) | (~v114(constB11))),
% 48.17/31.22 inference(modus_ponens,[status(thm)],[1814, 1813])).
% 48.17/31.22 tff(1816,plain,
% 48.17/31.22 (v113(constB11)),
% 48.17/31.22 inference(unit_resolution,[status(thm)],[1815, 210, 1812])).
% 48.17/31.22 tff(1817,assumption,(v26(constB11)), introduced(assumption)).
% 48.17/31.22 tff(1818,plain,
% 48.17/31.22 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB11))),
% 48.17/31.22 inference(quant_inst,[status(thm)],[])).
% 48.17/31.22 tff(1819,plain,
% 48.17/31.22 ($false),
% 48.17/31.22 inference(unit_resolution,[status(thm)],[1818, 16, 1817])).
% 48.17/31.22 tff(1820,plain,(~v26(constB11)), inference(lemma,lemma(discharge,[]))).
% 48.17/31.22 tff(1821,plain,
% 48.17/31.22 (((~![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))),
% 48.17/31.23 inference(rewrite,[status(thm)],[])).
% 48.17/31.23 tff(1822,plain,
% 48.17/31.23 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB11) | (~v113(constB11)) | v112(constB11))),
% 48.17/31.23 inference(quant_inst,[status(thm)],[])).
% 48.17/31.23 tff(1823,plain,
% 48.17/31.23 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB11) | (~v113(constB11)) | v112(constB11)),
% 48.17/31.23 inference(modus_ponens,[status(thm)],[1822, 1821])).
% 48.17/31.23 tff(1824,plain,
% 48.17/31.23 ((~v113(constB11)) | v112(constB11)),
% 48.17/31.23 inference(unit_resolution,[status(thm)],[1823, 224, 1820])).
% 48.17/31.23 tff(1825,plain,
% 48.17/31.23 (v112(constB11)),
% 48.17/31.23 inference(unit_resolution,[status(thm)],[1824, 1816])).
% 48.17/31.23 tff(1826,plain,
% 48.17/31.23 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB11) | (~v112(constB11)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB11) | (~v112(constB11)))),
% 48.17/31.23 inference(rewrite,[status(thm)],[])).
% 48.17/31.23 tff(1827,plain,
% 48.17/31.23 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB11) | (~v112(constB11)))),
% 48.17/31.23 inference(quant_inst,[status(thm)],[])).
% 48.17/31.23 tff(1828,plain,
% 48.17/31.23 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB11) | (~v112(constB11))),
% 48.17/31.23 inference(modus_ponens,[status(thm)],[1827, 1826])).
% 48.17/31.23 tff(1829,plain,
% 48.17/31.23 (v108(constB11)),
% 48.17/31.23 inference(unit_resolution,[status(thm)],[1828, 236, 1825])).
% 48.17/31.23 tff(1830,plain,
% 48.17/31.23 (nextState(constB11, constB12) <=> nextState(constB11, constB12)),
% 48.17/31.23 inference(rewrite,[status(thm)],[])).
% 48.17/31.23 tff(1831,axiom,(nextState(constB11, constB12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_11_1')).
% 48.17/31.23 tff(1832,plain,
% 48.17/31.23 (nextState(constB11, constB12)),
% 48.17/31.23 inference(modus_ponens,[status(thm)],[1831, 1830])).
% 48.17/31.23 tff(1833,plain,
% 48.17/31.23 (((~![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)))),
% 48.17/31.23 inference(rewrite,[status(thm)],[])).
% 48.17/31.23 tff(1834,plain,
% 48.17/31.23 (((~nextState(constB11, constB12)) | (~v108(constB11)) | v110(constB12)) <=> ((~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11)))),
% 48.17/31.23 inference(rewrite,[status(thm)],[])).
% 48.17/31.23 tff(1835,plain,
% 48.17/31.23 (((~![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))))),
% 48.17/31.23 inference(monotonicity,[status(thm)],[1834])).
% 48.17/31.23 tff(1836,plain,
% 48.17/31.23 (((~![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)))),
% 48.17/31.23 inference(transitivity,[status(thm)],[1835, 1833])).
% 48.17/31.23 tff(1837,plain,
% 48.17/31.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB11, constB12)) | (~v108(constB11)) | v110(constB12))),
% 48.17/31.23 inference(quant_inst,[status(thm)],[])).
% 48.17/31.23 tff(1838,plain,
% 48.17/31.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11))),
% 48.17/31.23 inference(modus_ponens,[status(thm)],[1837, 1836])).
% 48.17/31.23 tff(1839,plain,
% 48.17/31.23 (v110(constB12) | (~v108(constB11))),
% 48.17/31.23 inference(unit_resolution,[status(thm)],[1838, 253, 1832])).
% 48.17/31.23 tff(1840,plain,
% 48.17/31.23 (v110(constB12)),
% 48.17/31.23 inference(unit_resolution,[status(thm)],[1839, 1829])).
% 48.17/31.23 tff(1841,plain,
% 48.17/31.23 (((~![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)))),
% 48.17/31.23 inference(rewrite,[status(thm)],[])).
% 48.17/31.23 tff(1842,plain,
% 48.17/31.23 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB11) | (~nextState(constB11, constB12)) | (~v104(constB12)))),
% 48.17/31.23 inference(quant_inst,[status(thm)],[])).
% 48.17/31.23 tff(1843,plain,
% 48.17/31.23 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB11) | (~nextState(constB11, constB12)) | (~v104(constB12))),
% 48.17/31.23 inference(modus_ponens,[status(thm)],[1842, 1841])).
% 48.17/31.23 tff(1844,plain,
% 48.17/31.23 (~v104(constB12)),
% 48.17/31.23 inference(unit_resolution,[status(thm)],[1843, 271, 1832, 1673])).
% 48.17/31.23 tff(1845,plain,
% 48.17/31.23 (((~![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))),
% 48.17/31.23 inference(rewrite,[status(thm)],[])).
% 48.17/31.23 tff(1846,plain,
% 48.17/31.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB11, constB12)) | v102(constB12) | v104(constB12))),
% 48.17/31.23 inference(quant_inst,[status(thm)],[])).
% 48.17/31.23 tff(1847,plain,
% 48.17/31.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB11, constB12)) | v102(constB12) | v104(constB12)),
% 48.17/31.23 inference(modus_ponens,[status(thm)],[1846, 1845])).
% 48.17/31.23 tff(1848,plain,
% 48.17/31.23 (v102(constB12) | v104(constB12)),
% 48.17/31.23 inference(unit_resolution,[status(thm)],[1847, 285, 1832])).
% 48.17/31.23 tff(1849,plain,
% 48.17/31.23 (v102(constB12)),
% 48.17/31.23 inference(unit_resolution,[status(thm)],[1848, 1844])).
% 48.17/31.23 tff(1850,plain,
% 48.17/31.23 (v1(constB12) <=> v1(constB12)),
% 48.17/31.23 inference(rewrite,[status(thm)],[])).
% 48.17/31.23 tff(1851,axiom,(v1(constB12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_12_1')).
% 48.17/31.23 tff(1852,plain,
% 48.17/31.23 (v1(constB12)),
% 48.17/31.23 inference(modus_ponens,[status(thm)],[1851, 1850])).
% 48.17/31.23 tff(1853,plain,
% 48.17/31.23 (((~![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)))),
% 48.17/31.23 inference(rewrite,[status(thm)],[])).
% 48.17/31.23 tff(1854,plain,
% 48.17/31.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB11, constB12)) | v101(constB12) | (~v102(constB12)) | (~v1(constB12)))),
% 48.17/31.23 inference(quant_inst,[status(thm)],[])).
% 48.17/31.23 tff(1855,plain,
% 48.17/31.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB11, constB12)) | v101(constB12) | (~v102(constB12)) | (~v1(constB12))),
% 48.17/31.23 inference(modus_ponens,[status(thm)],[1854, 1853])).
% 48.17/31.23 tff(1856,plain,
% 48.17/31.23 (v101(constB12) | (~v102(constB12))),
% 48.17/31.23 inference(unit_resolution,[status(thm)],[1855, 303, 1832, 1852])).
% 48.17/31.23 tff(1857,plain,
% 48.17/31.23 (v101(constB12)),
% 48.17/31.23 inference(unit_resolution,[status(thm)],[1856, 1849])).
% 48.17/31.23 tff(1858,plain,
% 48.17/31.23 (((~![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)))),
% 48.18/31.23 inference(rewrite,[status(thm)],[])).
% 48.18/31.23 tff(1859,plain,
% 48.18/31.23 (((~nextState(constB11, constB12)) | (~v101(constB12)) | (~v110(constB12)) | v100(constB12)) <=> ((~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12)))),
% 48.18/31.23 inference(rewrite,[status(thm)],[])).
% 48.18/31.23 tff(1860,plain,
% 48.18/31.23 (((~![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))))),
% 48.18/31.23 inference(monotonicity,[status(thm)],[1859])).
% 48.18/31.23 tff(1861,plain,
% 48.18/31.23 (((~![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)))),
% 48.18/31.23 inference(transitivity,[status(thm)],[1860, 1858])).
% 48.18/31.23 tff(1862,plain,
% 48.18/31.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB11, constB12)) | (~v101(constB12)) | (~v110(constB12)) | v100(constB12))),
% 48.18/31.23 inference(quant_inst,[status(thm)],[])).
% 48.18/31.23 tff(1863,plain,
% 48.18/31.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12))),
% 48.18/31.23 inference(modus_ponens,[status(thm)],[1862, 1861])).
% 48.18/31.23 tff(1864,plain,
% 48.18/31.23 (v100(constB12) | (~v101(constB12)) | (~v110(constB12))),
% 48.18/31.23 inference(unit_resolution,[status(thm)],[1863, 318, 1832])).
% 48.18/31.23 tff(1865,plain,
% 48.18/31.23 (v100(constB12) | (~v110(constB12))),
% 48.18/31.23 inference(unit_resolution,[status(thm)],[1864, 1857])).
% 48.18/31.23 tff(1866,plain,
% 48.18/31.23 (v100(constB12)),
% 48.18/31.23 inference(unit_resolution,[status(thm)],[1865, 1840])).
% 48.18/31.23 tff(1867,plain,
% 48.18/31.23 (^[VarCurr: $i] : refl(((~v122(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ((~v122(VarCurr)) | v130(VarCurr, bitIndex2)))),
% 48.18/31.23 inference(bind,[status(th)],[])).
% 48.18/31.23 tff(1868,plain,
% 48.18/31.23 (![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 48.18/31.23 inference(quant_intro,[status(thm)],[1867])).
% 48.18/31.23 tff(1869,plain,
% 48.18/31.23 (![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 48.18/31.23 inference(rewrite,[status(thm)],[])).
% 48.18/31.23 tff(1870,plain,
% 48.18/31.23 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex2) | (~v122(VarCurr))) <=> ((~v122(VarCurr)) | v130(VarCurr, bitIndex2)))),
% 48.18/31.23 inference(bind,[status(th)],[])).
% 48.18/31.23 tff(1871,plain,
% 48.18/31.23 (![VarCurr: $i] : (v130(VarCurr, bitIndex2) | (~v122(VarCurr))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 48.18/31.23 inference(quant_intro,[status(thm)],[1870])).
% 48.18/31.23 tff(1872,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex2) | (~v122(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3_1_3')).
% 48.18/31.23 tff(1873,plain,
% 48.18/31.23 (![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 48.18/31.23 inference(modus_ponens,[status(thm)],[1872, 1871])).
% 48.18/31.23 tff(1874,plain,
% 48.18/31.23 (![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 48.18/31.23 inference(modus_ponens,[status(thm)],[1873, 1869])).
% 48.18/31.23 tff(1875,plain,(
% 48.18/31.23 ![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 48.18/31.23 inference(skolemize,[status(sab)],[1874])).
% 48.18/31.23 tff(1876,plain,
% 48.18/31.23 (![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))),
% 48.18/31.23 inference(modus_ponens,[status(thm)],[1875, 1868])).
% 48.18/31.23 tff(1877,plain,
% 48.18/31.23 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB11)) | v130(constB11, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB11)) | v130(constB11, bitIndex2))),
% 48.18/31.23 inference(rewrite,[status(thm)],[])).
% 48.18/31.23 tff(1878,plain,
% 48.18/31.23 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB11)) | v130(constB11, bitIndex2))),
% 48.18/31.23 inference(quant_inst,[status(thm)],[])).
% 48.18/31.23 tff(1879,plain,
% 48.18/31.23 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB11)) | v130(constB11, bitIndex2)),
% 48.18/31.23 inference(modus_ponens,[status(thm)],[1878, 1877])).
% 48.18/31.23 tff(1880,plain,
% 48.18/31.23 (v130(constB11, bitIndex2)),
% 48.18/31.23 inference(unit_resolution,[status(thm)],[1879, 1876, 1793])).
% 48.18/31.23 tff(1881,plain,
% 48.18/31.23 (((~![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))),
% 48.18/31.23 inference(rewrite,[status(thm)],[])).
% 48.18/31.23 tff(1882,plain,
% 48.18/31.23 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB11) | (~v130(constB11, bitIndex2)) | v127(constB11, bitIndex2))),
% 48.18/31.23 inference(quant_inst,[status(thm)],[])).
% 48.18/31.23 tff(1883,plain,
% 48.18/31.23 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB11) | (~v130(constB11, bitIndex2)) | v127(constB11, bitIndex2)),
% 48.18/31.23 inference(modus_ponens,[status(thm)],[1882, 1881])).
% 48.18/31.23 tff(1884,plain,
% 48.18/31.23 ((~v130(constB11, bitIndex2)) | v127(constB11, bitIndex2)),
% 48.18/31.23 inference(unit_resolution,[status(thm)],[1883, 351, 1820])).
% 48.18/31.23 tff(1885,plain,
% 48.18/31.23 (v127(constB11, bitIndex2)),
% 48.18/31.23 inference(unit_resolution,[status(thm)],[1884, 1880])).
% 48.18/31.23 tff(1886,plain,
% 48.18/31.23 (((~![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))),
% 48.18/31.23 inference(rewrite,[status(thm)],[])).
% 48.18/31.23 tff(1887,plain,
% 48.18/31.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB11, constB12)) | (~v127(constB11, bitIndex2)) | v129(constB12, bitIndex2))),
% 48.18/31.23 inference(quant_inst,[status(thm)],[])).
% 48.18/31.23 tff(1888,plain,
% 48.18/31.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB11, constB12)) | (~v127(constB11, bitIndex2)) | v129(constB12, bitIndex2)),
% 48.18/31.23 inference(modus_ponens,[status(thm)],[1887, 1886])).
% 48.18/31.23 tff(1889,plain,
% 48.18/31.23 ((~v127(constB11, bitIndex2)) | v129(constB12, bitIndex2)),
% 48.18/31.23 inference(unit_resolution,[status(thm)],[1888, 366, 1832])).
% 48.18/31.23 tff(1890,plain,
% 48.18/31.23 (v129(constB12, bitIndex2)),
% 48.18/31.23 inference(unit_resolution,[status(thm)],[1889, 1885])).
% 48.18/31.23 tff(1891,plain,
% 48.18/31.23 (((~![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)))),
% 48.18/31.23 inference(rewrite,[status(thm)],[])).
% 48.18/31.23 tff(1892,plain,
% 48.18/31.23 ((v90(constB12, bitIndex2) | (~v100(constB12)) | (~v129(constB12, bitIndex2))) <=> (v90(constB12, bitIndex2) | (~v129(constB12, bitIndex2)) | (~v100(constB12)))),
% 48.18/31.23 inference(rewrite,[status(thm)],[])).
% 48.18/31.23 tff(1893,plain,
% 48.18/31.23 (((~![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))))),
% 48.18/31.23 inference(monotonicity,[status(thm)],[1892])).
% 48.18/31.23 tff(1894,plain,
% 48.18/31.23 (((~![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)))),
% 48.18/31.23 inference(transitivity,[status(thm)],[1893, 1891])).
% 48.18/31.23 tff(1895,plain,
% 48.18/31.23 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB12, bitIndex2) | (~v100(constB12)) | (~v129(constB12, bitIndex2)))),
% 48.18/31.23 inference(quant_inst,[status(thm)],[])).
% 48.18/31.23 tff(1896,plain,
% 48.18/31.23 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB12, bitIndex2) | (~v129(constB12, bitIndex2)) | (~v100(constB12))),
% 48.18/31.23 inference(modus_ponens,[status(thm)],[1895, 1894])).
% 48.18/31.23 tff(1897,plain,
% 48.18/31.23 (v90(constB12, bitIndex2) | (~v100(constB12))),
% 48.18/31.23 inference(unit_resolution,[status(thm)],[1896, 381, 1890])).
% 48.18/31.23 tff(1898,plain,
% 48.18/31.23 (v90(constB12, bitIndex2)),
% 48.18/31.23 inference(unit_resolution,[status(thm)],[1897, 1866])).
% 48.18/31.23 tff(1899,plain,
% 48.18/31.23 ((~v1(constB13)) <=> (~v1(constB13))),
% 48.18/31.23 inference(rewrite,[status(thm)],[])).
% 48.18/31.23 tff(1900,axiom,(~v1(constB13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_13_1_1')).
% 48.18/31.23 tff(1901,plain,
% 48.18/31.23 (~v1(constB13)),
% 48.18/31.23 inference(modus_ponens,[status(thm)],[1900, 1899])).
% 48.18/31.23 tff(1902,plain,
% 48.18/31.23 (nextState(constB12, constB13) <=> nextState(constB12, constB13)),
% 48.18/31.23 inference(rewrite,[status(thm)],[])).
% 48.18/31.23 tff(1903,axiom,(nextState(constB12, constB13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_12_1')).
% 48.18/31.23 tff(1904,plain,
% 48.18/31.23 (nextState(constB12, constB13)),
% 48.18/31.23 inference(modus_ponens,[status(thm)],[1903, 1902])).
% 48.18/31.23 tff(1905,plain,
% 48.18/31.23 (((~![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)))),
% 48.18/31.23 inference(rewrite,[status(thm)],[])).
% 48.18/31.23 tff(1906,plain,
% 48.18/31.23 (((~nextState(constB12, constB13)) | (~v101(constB13)) | v1(constB13)) <=> (v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13)))),
% 48.18/31.23 inference(rewrite,[status(thm)],[])).
% 48.18/31.23 tff(1907,plain,
% 48.18/31.23 (((~![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))))),
% 48.18/31.23 inference(monotonicity,[status(thm)],[1906])).
% 48.18/31.23 tff(1908,plain,
% 48.18/31.23 (((~![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)))),
% 48.18/31.23 inference(transitivity,[status(thm)],[1907, 1905])).
% 48.18/31.23 tff(1909,plain,
% 48.18/31.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB12, constB13)) | (~v101(constB13)) | v1(constB13))),
% 48.18/31.23 inference(quant_inst,[status(thm)],[])).
% 48.18/31.23 tff(1910,plain,
% 48.18/31.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13))),
% 48.18/31.23 inference(modus_ponens,[status(thm)],[1909, 1908])).
% 48.18/31.23 tff(1911,plain,
% 48.18/31.23 (~v101(constB13)),
% 48.18/31.23 inference(unit_resolution,[status(thm)],[1910, 49, 1904, 1901])).
% 48.18/31.23 tff(1912,plain,
% 48.18/31.23 (((~![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)))),
% 48.18/31.23 inference(rewrite,[status(thm)],[])).
% 48.18/31.23 tff(1913,plain,
% 48.18/31.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB12, constB13)) | v101(constB13) | (~v100(constB13)))),
% 48.18/31.23 inference(quant_inst,[status(thm)],[])).
% 48.18/31.23 tff(1914,plain,
% 48.18/31.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB12, constB13)) | v101(constB13) | (~v100(constB13))),
% 48.18/31.23 inference(modus_ponens,[status(thm)],[1913, 1912])).
% 48.18/31.23 tff(1915,plain,
% 48.18/31.23 (v101(constB13) | (~v100(constB13))),
% 48.18/31.23 inference(unit_resolution,[status(thm)],[1914, 66, 1904])).
% 48.18/31.23 tff(1916,plain,
% 48.18/31.23 (~v100(constB13)),
% 48.18/31.23 inference(unit_resolution,[status(thm)],[1915, 1911])).
% 48.18/31.23 tff(1917,plain,
% 48.18/31.23 (((~![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))),
% 48.18/31.23 inference(rewrite,[status(thm)],[])).
% 48.18/31.23 tff(1918,plain,
% 48.18/31.23 (((~nextState(constB12, constB13)) | (~v90(constB12, bitIndex2)) | v100(constB13) | v90(constB13, bitIndex2)) <=> ((~v90(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, bitIndex2))),
% 48.18/31.23 inference(rewrite,[status(thm)],[])).
% 48.18/31.23 tff(1919,plain,
% 48.18/31.23 (((~![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)))),
% 48.18/31.23 inference(monotonicity,[status(thm)],[1918])).
% 48.18/31.23 tff(1920,plain,
% 48.18/31.23 (((~![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))),
% 48.18/31.23 inference(transitivity,[status(thm)],[1919, 1917])).
% 48.18/31.23 tff(1921,plain,
% 48.18/31.23 ((~![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))),
% 48.18/31.23 inference(quant_inst,[status(thm)],[])).
% 48.18/31.23 tff(1922,plain,
% 48.18/31.23 ((~![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)),
% 48.18/31.23 inference(modus_ponens,[status(thm)],[1921, 1920])).
% 48.18/31.23 tff(1923,plain,
% 48.18/31.23 ((~v90(constB12, bitIndex2)) | v100(constB13) | v90(constB13, bitIndex2)),
% 48.18/31.23 inference(unit_resolution,[status(thm)],[1922, 417, 1904])).
% 48.18/31.23 tff(1924,plain,
% 48.18/31.23 ((~v90(constB12, bitIndex2)) | v90(constB13, bitIndex2)),
% 48.18/31.23 inference(unit_resolution,[status(thm)],[1923, 1916])).
% 48.18/31.23 tff(1925,plain,
% 48.18/31.23 (v90(constB13, bitIndex2)),
% 48.18/31.23 inference(unit_resolution,[status(thm)],[1924, 1898])).
% 48.18/31.23 tff(1926,plain,
% 48.18/31.23 (^[VarCurr: $i] : refl(((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1))))),
% 48.18/31.23 inference(bind,[status(th)],[])).
% 48.18/31.23 tff(1927,plain,
% 48.18/31.23 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 48.18/31.23 inference(quant_intro,[status(thm)],[1926])).
% 48.18/31.23 tff(1928,plain,
% 48.18/31.23 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 48.18/31.23 inference(rewrite,[status(thm)],[])).
% 48.18/31.23 tff(1929,plain,
% 48.18/31.23 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex1)) | (~v122(VarCurr))) <=> ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1))))),
% 48.18/31.23 inference(bind,[status(th)],[])).
% 48.18/31.23 tff(1930,plain,
% 48.18/31.23 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex1)) | (~v122(VarCurr))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 48.18/31.23 inference(quant_intro,[status(thm)],[1929])).
% 48.18/31.23 tff(1931,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex1)) | (~v122(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3_1_2')).
% 48.18/31.23 tff(1932,plain,
% 48.18/31.23 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 48.18/31.23 inference(modus_ponens,[status(thm)],[1931, 1930])).
% 48.18/31.23 tff(1933,plain,
% 48.18/31.23 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 48.18/31.23 inference(modus_ponens,[status(thm)],[1932, 1928])).
% 48.18/31.23 tff(1934,plain,(
% 48.18/31.23 ![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 48.18/31.23 inference(skolemize,[status(sab)],[1933])).
% 48.18/31.23 tff(1935,plain,
% 48.18/31.23 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))),
% 48.18/31.23 inference(modus_ponens,[status(thm)],[1934, 1927])).
% 48.18/31.23 tff(1936,plain,
% 48.18/31.23 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB11)) | (~v130(constB11, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB11)) | (~v130(constB11, bitIndex1)))),
% 48.18/31.23 inference(rewrite,[status(thm)],[])).
% 48.18/31.23 tff(1937,plain,
% 48.18/31.23 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB11)) | (~v130(constB11, bitIndex1)))),
% 48.18/31.23 inference(quant_inst,[status(thm)],[])).
% 48.18/31.23 tff(1938,plain,
% 48.18/31.23 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB11)) | (~v130(constB11, bitIndex1))),
% 48.18/31.23 inference(modus_ponens,[status(thm)],[1937, 1936])).
% 48.18/31.23 tff(1939,plain,
% 48.18/31.23 (~v130(constB11, bitIndex1)),
% 48.18/31.23 inference(unit_resolution,[status(thm)],[1938, 1935, 1793])).
% 48.18/31.23 tff(1940,assumption,(v127(constB11, bitIndex1)), introduced(assumption)).
% 48.18/31.23 tff(1941,assumption,(~v130(constB11, bitIndex1)), introduced(assumption)).
% 48.18/31.23 tff(1942,plain,
% 48.18/31.23 (((~![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))),
% 48.18/31.23 inference(rewrite,[status(thm)],[])).
% 48.18/31.23 tff(1943,plain,
% 48.18/31.23 ((v26(constB11) | v130(constB11, bitIndex1) | (~v127(constB11, bitIndex1))) <=> ((~v127(constB11, bitIndex1)) | v26(constB11) | v130(constB11, bitIndex1))),
% 48.18/31.23 inference(rewrite,[status(thm)],[])).
% 48.18/31.23 tff(1944,plain,
% 48.18/31.23 (((~![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)))),
% 48.18/31.23 inference(monotonicity,[status(thm)],[1943])).
% 48.18/31.23 tff(1945,plain,
% 48.18/31.23 (((~![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))),
% 48.18/31.23 inference(transitivity,[status(thm)],[1944, 1942])).
% 48.18/31.23 tff(1946,plain,
% 48.18/31.23 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB11) | v130(constB11, bitIndex1) | (~v127(constB11, bitIndex1)))),
% 48.18/31.23 inference(quant_inst,[status(thm)],[])).
% 48.18/31.23 tff(1947,plain,
% 48.18/31.23 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB11, bitIndex1)) | v26(constB11) | v130(constB11, bitIndex1)),
% 48.18/31.23 inference(modus_ponens,[status(thm)],[1946, 1945])).
% 48.18/31.23 tff(1948,plain,
% 48.18/31.23 ((~v127(constB11, bitIndex1)) | v26(constB11)),
% 48.18/31.23 inference(unit_resolution,[status(thm)],[1947, 450, 1941])).
% 48.18/31.23 tff(1949,plain,
% 48.18/31.23 (v26(constB11)),
% 48.18/31.23 inference(unit_resolution,[status(thm)],[1948, 1940])).
% 48.18/31.23 tff(1950,plain,
% 48.18/31.23 (^[VarCurr: $i] : refl(((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1))))),
% 48.18/31.23 inference(bind,[status(th)],[])).
% 48.18/31.23 tff(1951,plain,
% 48.18/31.23 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))),
% 48.18/31.23 inference(quant_intro,[status(thm)],[1950])).
% 48.18/31.23 tff(1952,plain,
% 48.18/31.23 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))),
% 48.18/31.23 inference(rewrite,[status(thm)],[])).
% 48.18/31.23 tff(1953,plain,
% 48.18/31.23 (^[VarCurr: $i] : rewrite(((~v127(VarCurr, bitIndex1)) | (~v26(VarCurr))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1))))),
% 48.18/31.23 inference(bind,[status(th)],[])).
% 48.18/31.23 tff(1954,plain,
% 48.18/31.23 (![VarCurr: $i] : ((~v127(VarCurr, bitIndex1)) | (~v26(VarCurr))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))),
% 48.18/31.23 inference(quant_intro,[status(thm)],[1953])).
% 48.18/31.23 tff(1955,axiom,(![VarCurr: $i] : ((~v127(VarCurr, bitIndex1)) | (~v26(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_1_1_1_2')).
% 48.18/31.23 tff(1956,plain,
% 48.18/31.23 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))),
% 48.18/31.23 inference(modus_ponens,[status(thm)],[1955, 1954])).
% 48.18/31.23 tff(1957,plain,
% 48.18/31.23 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))),
% 48.18/31.23 inference(modus_ponens,[status(thm)],[1956, 1952])).
% 48.18/31.23 tff(1958,plain,(
% 48.18/31.23 ![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))),
% 48.18/31.23 inference(skolemize,[status(sab)],[1957])).
% 48.18/31.23 tff(1959,plain,
% 48.18/31.23 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))),
% 48.18/31.23 inference(modus_ponens,[status(thm)],[1958, 1951])).
% 48.18/31.23 tff(1960,plain,
% 48.18/31.23 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB11)) | (~v127(constB11, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB11)) | (~v127(constB11, bitIndex1)))),
% 48.18/31.23 inference(rewrite,[status(thm)],[])).
% 48.18/31.23 tff(1961,plain,
% 48.18/31.23 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB11)) | (~v127(constB11, bitIndex1)))),
% 48.18/31.23 inference(quant_inst,[status(thm)],[])).
% 48.18/31.23 tff(1962,plain,
% 48.18/31.23 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB11)) | (~v127(constB11, bitIndex1))),
% 48.18/31.23 inference(modus_ponens,[status(thm)],[1961, 1960])).
% 48.18/31.23 tff(1963,plain,
% 48.18/31.23 ($false),
% 48.18/31.23 inference(unit_resolution,[status(thm)],[1962, 1959, 1940, 1949])).
% 48.18/31.23 tff(1964,plain,((~v127(constB11, bitIndex1)) | v130(constB11, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 48.18/31.23 tff(1965,plain,
% 48.18/31.23 (~v127(constB11, bitIndex1)),
% 48.18/31.23 inference(unit_resolution,[status(thm)],[1964, 1939])).
% 48.18/31.23 tff(1966,plain,
% 48.18/31.23 (((~![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)))),
% 48.18/31.23 inference(rewrite,[status(thm)],[])).
% 48.18/31.23 tff(1967,plain,
% 48.18/31.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB11, constB12)) | v127(constB11, bitIndex1) | (~v129(constB12, bitIndex1)))),
% 48.18/31.23 inference(quant_inst,[status(thm)],[])).
% 48.18/31.23 tff(1968,plain,
% 48.18/31.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB11, constB12)) | v127(constB11, bitIndex1) | (~v129(constB12, bitIndex1))),
% 48.18/31.23 inference(modus_ponens,[status(thm)],[1967, 1966])).
% 48.18/31.23 tff(1969,plain,
% 48.18/31.23 (v127(constB11, bitIndex1) | (~v129(constB12, bitIndex1))),
% 48.18/31.23 inference(unit_resolution,[status(thm)],[1968, 468, 1832])).
% 48.18/31.23 tff(1970,plain,
% 48.18/31.23 (~v129(constB12, bitIndex1)),
% 48.18/31.23 inference(unit_resolution,[status(thm)],[1969, 1965])).
% 48.18/31.23 tff(1971,plain,
% 48.18/31.23 (((~![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)))),
% 48.18/31.24 inference(rewrite,[status(thm)],[])).
% 48.18/31.24 tff(1972,plain,
% 48.18/31.24 (((~v90(constB12, bitIndex1)) | (~v100(constB12)) | v129(constB12, bitIndex1)) <=> ((~v90(constB12, bitIndex1)) | v129(constB12, bitIndex1) | (~v100(constB12)))),
% 48.18/31.24 inference(rewrite,[status(thm)],[])).
% 48.18/31.24 tff(1973,plain,
% 48.18/31.24 (((~![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))))),
% 48.18/31.24 inference(monotonicity,[status(thm)],[1972])).
% 48.18/31.24 tff(1974,plain,
% 48.18/31.24 (((~![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)))),
% 48.18/31.24 inference(transitivity,[status(thm)],[1973, 1971])).
% 48.18/31.24 tff(1975,plain,
% 48.18/31.24 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB12, bitIndex1)) | (~v100(constB12)) | v129(constB12, bitIndex1))),
% 48.18/31.24 inference(quant_inst,[status(thm)],[])).
% 48.18/31.24 tff(1976,plain,
% 48.18/31.24 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB12, bitIndex1)) | v129(constB12, bitIndex1) | (~v100(constB12))),
% 48.18/31.24 inference(modus_ponens,[status(thm)],[1975, 1974])).
% 48.18/31.24 tff(1977,plain,
% 48.18/31.24 ((~v90(constB12, bitIndex1)) | (~v100(constB12))),
% 48.18/31.24 inference(unit_resolution,[status(thm)],[1976, 483, 1970])).
% 48.18/31.24 tff(1978,plain,
% 48.18/31.24 (~v90(constB12, bitIndex1)),
% 48.18/31.24 inference(unit_resolution,[status(thm)],[1977, 1866])).
% 48.18/31.24 tff(1979,plain,
% 48.18/31.24 (((~![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)))),
% 48.18/31.24 inference(rewrite,[status(thm)],[])).
% 48.18/31.24 tff(1980,plain,
% 48.18/31.24 (((~nextState(constB12, constB13)) | v90(constB12, bitIndex1) | v100(constB13) | (~v90(constB13, bitIndex1))) <=> (v90(constB12, bitIndex1) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex1)))),
% 48.18/31.24 inference(rewrite,[status(thm)],[])).
% 48.18/31.24 tff(1981,plain,
% 48.18/31.24 (((~![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))))),
% 48.18/31.24 inference(monotonicity,[status(thm)],[1980])).
% 48.18/31.24 tff(1982,plain,
% 48.18/31.24 (((~![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)))),
% 48.18/31.24 inference(transitivity,[status(thm)],[1981, 1979])).
% 48.18/31.24 tff(1983,plain,
% 48.18/31.24 ((~![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)))),
% 48.18/31.24 inference(quant_inst,[status(thm)],[])).
% 48.18/31.24 tff(1984,plain,
% 48.18/31.24 ((~![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))),
% 48.18/31.24 inference(modus_ponens,[status(thm)],[1983, 1982])).
% 48.18/31.24 tff(1985,plain,
% 48.18/31.24 (v90(constB12, bitIndex1) | v100(constB13) | (~v90(constB13, bitIndex1))),
% 48.18/31.24 inference(unit_resolution,[status(thm)],[1984, 102, 1904])).
% 48.18/31.24 tff(1986,plain,
% 48.18/31.24 (v90(constB12, bitIndex1) | (~v90(constB13, bitIndex1))),
% 48.18/31.24 inference(unit_resolution,[status(thm)],[1985, 1916])).
% 48.18/31.24 tff(1987,plain,
% 48.18/31.24 (~v90(constB13, bitIndex1)),
% 48.18/31.24 inference(unit_resolution,[status(thm)],[1986, 1978])).
% 48.18/31.24 tff(1988,plain,
% 48.18/31.24 (^[VarCurr: $i] : refl(((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0))))),
% 48.18/31.24 inference(bind,[status(th)],[])).
% 48.18/31.24 tff(1989,plain,
% 48.18/31.24 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 48.18/31.24 inference(quant_intro,[status(thm)],[1988])).
% 48.18/31.24 tff(1990,plain,
% 48.18/31.24 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 48.18/31.24 inference(rewrite,[status(thm)],[])).
% 48.18/31.24 tff(1991,plain,
% 48.18/31.24 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex0)) | (~v122(VarCurr))) <=> ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0))))),
% 48.18/31.24 inference(bind,[status(th)],[])).
% 48.18/31.24 tff(1992,plain,
% 48.18/31.24 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex0)) | (~v122(VarCurr))) <=> ![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 48.18/31.24 inference(quant_intro,[status(thm)],[1991])).
% 48.18/31.24 tff(1993,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex0)) | (~v122(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3_1_1')).
% 48.18/31.24 tff(1994,plain,
% 48.18/31.24 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 48.18/31.24 inference(modus_ponens,[status(thm)],[1993, 1992])).
% 48.18/31.24 tff(1995,plain,
% 48.18/31.24 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 48.18/31.24 inference(modus_ponens,[status(thm)],[1994, 1990])).
% 48.18/31.24 tff(1996,plain,(
% 48.18/31.24 ![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 48.18/31.24 inference(skolemize,[status(sab)],[1995])).
% 48.18/31.24 tff(1997,plain,
% 48.18/31.24 (![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))),
% 48.18/31.24 inference(modus_ponens,[status(thm)],[1996, 1989])).
% 48.18/31.24 tff(1998,plain,
% 48.18/31.24 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB11)) | (~v130(constB11, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB11)) | (~v130(constB11, bitIndex0)))),
% 48.18/31.24 inference(rewrite,[status(thm)],[])).
% 48.18/31.24 tff(1999,plain,
% 48.18/31.24 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB11)) | (~v130(constB11, bitIndex0)))),
% 48.18/31.24 inference(quant_inst,[status(thm)],[])).
% 48.18/31.24 tff(2000,plain,
% 48.18/31.24 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB11)) | (~v130(constB11, bitIndex0))),
% 48.18/31.24 inference(modus_ponens,[status(thm)],[1999, 1998])).
% 48.18/31.24 tff(2001,plain,
% 48.18/31.24 (~v130(constB11, bitIndex0)),
% 48.18/31.24 inference(unit_resolution,[status(thm)],[2000, 1997, 1793])).
% 48.18/31.24 tff(2002,plain,
% 48.18/31.24 (((~![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))),
% 48.18/31.24 inference(rewrite,[status(thm)],[])).
% 48.18/31.24 tff(2003,plain,
% 48.18/31.24 ((v26(constB11) | v130(constB11, bitIndex0) | (~v127(constB11, bitIndex0))) <=> ((~v127(constB11, bitIndex0)) | v26(constB11) | v130(constB11, bitIndex0))),
% 48.18/31.24 inference(rewrite,[status(thm)],[])).
% 48.18/31.24 tff(2004,plain,
% 48.18/31.24 (((~![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)))),
% 48.18/31.24 inference(monotonicity,[status(thm)],[2003])).
% 48.18/31.24 tff(2005,plain,
% 48.18/31.24 (((~![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))),
% 48.18/31.24 inference(transitivity,[status(thm)],[2004, 2002])).
% 48.18/31.24 tff(2006,plain,
% 48.18/31.24 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB11) | v130(constB11, bitIndex0) | (~v127(constB11, bitIndex0)))),
% 48.18/31.24 inference(quant_inst,[status(thm)],[])).
% 48.18/31.24 tff(2007,plain,
% 48.18/31.24 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB11, bitIndex0)) | v26(constB11) | v130(constB11, bitIndex0)),
% 48.18/31.24 inference(modus_ponens,[status(thm)],[2006, 2005])).
% 48.18/31.24 tff(2008,plain,
% 48.18/31.24 ((~v127(constB11, bitIndex0)) | v130(constB11, bitIndex0)),
% 48.18/31.24 inference(unit_resolution,[status(thm)],[2007, 524, 1820])).
% 48.18/31.24 tff(2009,plain,
% 48.18/31.24 (~v127(constB11, bitIndex0)),
% 48.18/31.24 inference(unit_resolution,[status(thm)],[2008, 2001])).
% 48.18/31.24 tff(2010,plain,
% 48.18/31.24 (((~![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)))),
% 48.18/31.24 inference(rewrite,[status(thm)],[])).
% 48.18/31.24 tff(2011,plain,
% 48.18/31.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB11, constB12)) | v127(constB11, bitIndex0) | (~v129(constB12, bitIndex0)))),
% 48.18/31.24 inference(quant_inst,[status(thm)],[])).
% 48.18/31.24 tff(2012,plain,
% 48.18/31.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB11, constB12)) | v127(constB11, bitIndex0) | (~v129(constB12, bitIndex0))),
% 48.18/31.24 inference(modus_ponens,[status(thm)],[2011, 2010])).
% 48.18/31.24 tff(2013,plain,
% 48.18/31.24 (v127(constB11, bitIndex0) | (~v129(constB12, bitIndex0))),
% 48.18/31.24 inference(unit_resolution,[status(thm)],[2012, 542, 1832])).
% 48.18/31.24 tff(2014,plain,
% 48.18/31.24 (~v129(constB12, bitIndex0)),
% 48.18/31.24 inference(unit_resolution,[status(thm)],[2013, 2009])).
% 48.18/31.24 tff(2015,plain,
% 48.18/31.24 (((~![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)))),
% 48.18/31.24 inference(rewrite,[status(thm)],[])).
% 48.18/31.24 tff(2016,plain,
% 48.18/31.24 (((~v90(constB12, bitIndex0)) | (~v100(constB12)) | v129(constB12, bitIndex0)) <=> ((~v90(constB12, bitIndex0)) | v129(constB12, bitIndex0) | (~v100(constB12)))),
% 48.18/31.24 inference(rewrite,[status(thm)],[])).
% 48.18/31.24 tff(2017,plain,
% 48.18/31.24 (((~![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))))),
% 48.18/31.24 inference(monotonicity,[status(thm)],[2016])).
% 48.18/31.24 tff(2018,plain,
% 48.18/31.24 (((~![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)))),
% 48.18/31.24 inference(transitivity,[status(thm)],[2017, 2015])).
% 48.18/31.24 tff(2019,plain,
% 48.18/31.24 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB12, bitIndex0)) | (~v100(constB12)) | v129(constB12, bitIndex0))),
% 48.18/31.24 inference(quant_inst,[status(thm)],[])).
% 48.18/31.24 tff(2020,plain,
% 48.18/31.24 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB12, bitIndex0)) | v129(constB12, bitIndex0) | (~v100(constB12))),
% 48.18/31.24 inference(modus_ponens,[status(thm)],[2019, 2018])).
% 48.18/31.24 tff(2021,plain,
% 48.18/31.24 ((~v90(constB12, bitIndex0)) | (~v100(constB12))),
% 48.18/31.24 inference(unit_resolution,[status(thm)],[2020, 557, 2014])).
% 48.18/31.24 tff(2022,plain,
% 48.18/31.24 (~v90(constB12, bitIndex0)),
% 48.18/31.24 inference(unit_resolution,[status(thm)],[2021, 1866])).
% 48.18/31.24 tff(2023,plain,
% 48.18/31.24 (((~![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)))),
% 48.18/31.24 inference(rewrite,[status(thm)],[])).
% 48.18/31.24 tff(2024,plain,
% 48.18/31.24 (((~nextState(constB12, constB13)) | v90(constB12, bitIndex0) | v100(constB13) | (~v90(constB13, bitIndex0))) <=> (v90(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex0)))),
% 48.18/31.24 inference(rewrite,[status(thm)],[])).
% 48.18/31.24 tff(2025,plain,
% 48.18/31.24 (((~![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))))),
% 48.18/31.24 inference(monotonicity,[status(thm)],[2024])).
% 48.18/31.24 tff(2026,plain,
% 48.18/31.24 (((~![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)))),
% 48.18/31.24 inference(transitivity,[status(thm)],[2025, 2023])).
% 48.18/31.24 tff(2027,plain,
% 48.18/31.24 ((~![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)))),
% 48.18/31.24 inference(quant_inst,[status(thm)],[])).
% 48.18/31.24 tff(2028,plain,
% 48.18/31.24 ((~![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))),
% 48.18/31.24 inference(modus_ponens,[status(thm)],[2027, 2026])).
% 48.18/31.24 tff(2029,plain,
% 48.18/31.24 (v90(constB12, bitIndex0) | v100(constB13) | (~v90(constB13, bitIndex0))),
% 48.18/31.24 inference(unit_resolution,[status(thm)],[2028, 123, 1904])).
% 48.18/31.24 tff(2030,plain,
% 48.18/31.24 (v90(constB12, bitIndex0) | (~v90(constB13, bitIndex0))),
% 48.18/31.24 inference(unit_resolution,[status(thm)],[2029, 1916])).
% 48.18/31.24 tff(2031,plain,
% 48.18/31.24 (~v90(constB13, bitIndex0)),
% 48.18/31.24 inference(unit_resolution,[status(thm)],[2030, 2022])).
% 48.18/31.24 tff(2032,plain,
% 48.18/31.24 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB13, bitIndex0) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex2)) | v123(constB13))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB13, bitIndex0) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex2)) | v123(constB13))),
% 48.18/31.24 inference(rewrite,[status(thm)],[])).
% 48.18/31.24 tff(2033,plain,
% 48.18/31.24 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB13, bitIndex0) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex2)) | v123(constB13))),
% 48.18/31.24 inference(quant_inst,[status(thm)],[])).
% 48.18/31.24 tff(2034,plain,
% 48.18/31.24 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB13, bitIndex0) | v90(constB13, bitIndex1) | (~v90(constB13, bitIndex2)) | v123(constB13)),
% 48.18/31.24 inference(modus_ponens,[status(thm)],[2033, 2032])).
% 48.18/31.24 tff(2035,plain,
% 48.18/31.24 (v123(constB13)),
% 48.18/31.24 inference(unit_resolution,[status(thm)],[2034, 584, 2031, 1987, 1925])).
% 48.18/31.24 tff(2036,plain,
% 48.18/31.24 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB13) | (~v123(constB13)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB13) | (~v123(constB13)))),
% 48.18/31.24 inference(rewrite,[status(thm)],[])).
% 48.18/31.24 tff(2037,plain,
% 48.18/31.24 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB13) | (~v123(constB13)))),
% 48.18/31.24 inference(quant_inst,[status(thm)],[])).
% 48.18/31.24 tff(2038,plain,
% 48.18/31.24 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB13) | (~v123(constB13))),
% 48.18/31.24 inference(modus_ponens,[status(thm)],[2037, 2036])).
% 48.18/31.24 tff(2039,plain,
% 48.18/31.24 (v115(constB13)),
% 48.18/31.24 inference(unit_resolution,[status(thm)],[2038, 595, 2035])).
% 48.18/31.24 tff(2040,plain,
% 48.18/31.24 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB13) | (~v115(constB13)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB13) | (~v115(constB13)))),
% 48.18/31.24 inference(rewrite,[status(thm)],[])).
% 48.18/31.24 tff(2041,plain,
% 48.18/31.24 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB13) | (~v115(constB13)))),
% 48.18/31.24 inference(quant_inst,[status(thm)],[])).
% 48.18/31.24 tff(2042,plain,
% 48.18/31.24 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB13) | (~v115(constB13))),
% 48.18/31.24 inference(modus_ponens,[status(thm)],[2041, 2040])).
% 48.18/31.24 tff(2043,plain,
% 48.18/31.24 (v114(constB13)),
% 48.18/31.24 inference(unit_resolution,[status(thm)],[2042, 199, 2039])).
% 48.18/31.24 tff(2044,plain,
% 48.18/31.24 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB13) | (~v114(constB13)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB13) | (~v114(constB13)))),
% 48.18/31.24 inference(rewrite,[status(thm)],[])).
% 48.18/31.24 tff(2045,plain,
% 48.18/31.24 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB13) | (~v114(constB13)))),
% 48.18/31.24 inference(quant_inst,[status(thm)],[])).
% 48.18/31.24 tff(2046,plain,
% 48.18/31.24 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB13) | (~v114(constB13))),
% 48.18/31.24 inference(modus_ponens,[status(thm)],[2045, 2044])).
% 48.18/31.24 tff(2047,plain,
% 48.18/31.24 (v113(constB13)),
% 48.18/31.24 inference(unit_resolution,[status(thm)],[2046, 210, 2043])).
% 48.18/31.24 tff(2048,assumption,(v26(constB13)), introduced(assumption)).
% 48.18/31.24 tff(2049,plain,
% 48.18/31.24 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB13))),
% 48.18/31.24 inference(quant_inst,[status(thm)],[])).
% 48.18/31.24 tff(2050,plain,
% 48.18/31.24 ($false),
% 48.18/31.24 inference(unit_resolution,[status(thm)],[2049, 16, 2048])).
% 48.18/31.24 tff(2051,plain,(~v26(constB13)), inference(lemma,lemma(discharge,[]))).
% 48.18/31.24 tff(2052,plain,
% 48.18/31.24 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB13) | v112(constB13) | (~v113(constB13)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB13) | v112(constB13) | (~v113(constB13)))),
% 48.18/31.24 inference(rewrite,[status(thm)],[])).
% 48.18/31.24 tff(2053,plain,
% 48.18/31.24 ((v26(constB13) | (~v113(constB13)) | v112(constB13)) <=> (v26(constB13) | v112(constB13) | (~v113(constB13)))),
% 48.18/31.24 inference(rewrite,[status(thm)],[])).
% 48.18/31.24 tff(2054,plain,
% 48.18/31.24 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB13) | (~v113(constB13)) | v112(constB13))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB13) | v112(constB13) | (~v113(constB13))))),
% 48.18/31.24 inference(monotonicity,[status(thm)],[2053])).
% 48.18/31.24 tff(2055,plain,
% 48.18/31.24 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB13) | (~v113(constB13)) | v112(constB13))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB13) | v112(constB13) | (~v113(constB13)))),
% 48.18/31.24 inference(transitivity,[status(thm)],[2054, 2052])).
% 48.18/31.24 tff(2056,plain,
% 48.18/31.24 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB13) | (~v113(constB13)) | v112(constB13))),
% 48.18/31.24 inference(quant_inst,[status(thm)],[])).
% 48.18/31.24 tff(2057,plain,
% 48.18/31.24 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB13) | v112(constB13) | (~v113(constB13))),
% 48.18/31.24 inference(modus_ponens,[status(thm)],[2056, 2055])).
% 48.18/31.24 tff(2058,plain,
% 48.18/31.24 (v112(constB13) | (~v113(constB13))),
% 48.18/31.24 inference(unit_resolution,[status(thm)],[2057, 224, 2051])).
% 48.18/31.24 tff(2059,plain,
% 48.18/31.24 (v112(constB13)),
% 48.18/31.24 inference(unit_resolution,[status(thm)],[2058, 2047])).
% 48.18/31.24 tff(2060,plain,
% 48.18/31.24 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB13) | (~v112(constB13)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB13) | (~v112(constB13)))),
% 48.18/31.24 inference(rewrite,[status(thm)],[])).
% 48.18/31.24 tff(2061,plain,
% 48.18/31.24 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB13) | (~v112(constB13)))),
% 48.18/31.24 inference(quant_inst,[status(thm)],[])).
% 48.18/31.24 tff(2062,plain,
% 48.18/31.24 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB13) | (~v112(constB13))),
% 48.18/31.24 inference(modus_ponens,[status(thm)],[2061, 2060])).
% 48.18/31.24 tff(2063,plain,
% 48.18/31.24 (v108(constB13)),
% 48.18/31.24 inference(unit_resolution,[status(thm)],[2062, 236, 2059])).
% 48.18/31.24 tff(2064,plain,
% 48.18/31.24 (nextState(constB13, constB14) <=> nextState(constB13, constB14)),
% 48.18/31.24 inference(rewrite,[status(thm)],[])).
% 48.18/31.24 tff(2065,axiom,(nextState(constB13, constB14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_13_1')).
% 48.18/31.24 tff(2066,plain,
% 48.18/31.24 (nextState(constB13, constB14)),
% 48.18/31.24 inference(modus_ponens,[status(thm)],[2065, 2064])).
% 48.18/31.24 tff(2067,plain,
% 48.18/31.24 (((~![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)))),
% 48.18/31.24 inference(rewrite,[status(thm)],[])).
% 48.18/31.24 tff(2068,plain,
% 48.18/31.24 (((~nextState(constB13, constB14)) | (~v108(constB13)) | v110(constB14)) <=> ((~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13)))),
% 48.18/31.24 inference(rewrite,[status(thm)],[])).
% 48.18/31.24 tff(2069,plain,
% 48.18/31.24 (((~![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))))),
% 48.18/31.24 inference(monotonicity,[status(thm)],[2068])).
% 48.18/31.24 tff(2070,plain,
% 48.18/31.24 (((~![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)))),
% 48.18/31.24 inference(transitivity,[status(thm)],[2069, 2067])).
% 48.18/31.24 tff(2071,plain,
% 48.18/31.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB13, constB14)) | (~v108(constB13)) | v110(constB14))),
% 48.18/31.24 inference(quant_inst,[status(thm)],[])).
% 48.18/31.24 tff(2072,plain,
% 48.18/31.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13))),
% 48.18/31.24 inference(modus_ponens,[status(thm)],[2071, 2070])).
% 48.18/31.24 tff(2073,plain,
% 48.18/31.24 (v110(constB14) | (~v108(constB13))),
% 48.18/31.24 inference(unit_resolution,[status(thm)],[2072, 253, 2066])).
% 48.18/31.24 tff(2074,plain,
% 48.18/31.24 (v110(constB14)),
% 48.18/31.24 inference(unit_resolution,[status(thm)],[2073, 2063])).
% 48.18/31.24 tff(2075,plain,
% 48.18/31.24 (((~![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)))),
% 48.18/31.24 inference(rewrite,[status(thm)],[])).
% 48.18/31.24 tff(2076,plain,
% 48.18/31.24 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB13) | (~nextState(constB13, constB14)) | (~v104(constB14)))),
% 48.18/31.24 inference(quant_inst,[status(thm)],[])).
% 48.18/31.24 tff(2077,plain,
% 48.18/31.24 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB13) | (~nextState(constB13, constB14)) | (~v104(constB14))),
% 48.18/31.24 inference(modus_ponens,[status(thm)],[2076, 2075])).
% 48.18/31.24 tff(2078,plain,
% 48.18/31.24 (~v104(constB14)),
% 48.18/31.24 inference(unit_resolution,[status(thm)],[2077, 271, 2066, 1901])).
% 48.18/31.24 tff(2079,plain,
% 48.18/31.24 (((~![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))),
% 48.18/31.24 inference(rewrite,[status(thm)],[])).
% 48.18/31.24 tff(2080,plain,
% 48.18/31.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB13, constB14)) | v102(constB14) | v104(constB14))),
% 48.18/31.24 inference(quant_inst,[status(thm)],[])).
% 48.18/31.24 tff(2081,plain,
% 48.18/31.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB13, constB14)) | v102(constB14) | v104(constB14)),
% 48.18/31.24 inference(modus_ponens,[status(thm)],[2080, 2079])).
% 48.18/31.24 tff(2082,plain,
% 48.18/31.24 (v102(constB14) | v104(constB14)),
% 48.18/31.24 inference(unit_resolution,[status(thm)],[2081, 285, 2066])).
% 48.18/31.24 tff(2083,plain,
% 48.18/31.24 (v102(constB14)),
% 48.18/31.24 inference(unit_resolution,[status(thm)],[2082, 2078])).
% 48.18/31.24 tff(2084,plain,
% 48.18/31.24 (v1(constB14) <=> v1(constB14)),
% 48.18/31.24 inference(rewrite,[status(thm)],[])).
% 48.18/31.24 tff(2085,axiom,(v1(constB14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_14_1')).
% 48.18/31.24 tff(2086,plain,
% 48.18/31.24 (v1(constB14)),
% 48.18/31.24 inference(modus_ponens,[status(thm)],[2085, 2084])).
% 48.18/31.24 tff(2087,plain,
% 48.18/31.24 (((~![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)))),
% 48.18/31.24 inference(rewrite,[status(thm)],[])).
% 48.18/31.24 tff(2088,plain,
% 48.18/31.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB13, constB14)) | v101(constB14) | (~v102(constB14)) | (~v1(constB14)))),
% 48.18/31.24 inference(quant_inst,[status(thm)],[])).
% 48.18/31.24 tff(2089,plain,
% 48.18/31.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB13, constB14)) | v101(constB14) | (~v102(constB14)) | (~v1(constB14))),
% 48.18/31.24 inference(modus_ponens,[status(thm)],[2088, 2087])).
% 48.18/31.24 tff(2090,plain,
% 48.18/31.24 (v101(constB14) | (~v102(constB14))),
% 48.18/31.24 inference(unit_resolution,[status(thm)],[2089, 303, 2066, 2086])).
% 48.18/31.24 tff(2091,plain,
% 48.18/31.24 (v101(constB14)),
% 48.18/31.24 inference(unit_resolution,[status(thm)],[2090, 2083])).
% 48.18/31.24 tff(2092,plain,
% 48.18/31.24 (((~![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)))),
% 48.18/31.24 inference(rewrite,[status(thm)],[])).
% 48.18/31.24 tff(2093,plain,
% 48.18/31.24 (((~nextState(constB13, constB14)) | (~v101(constB14)) | (~v110(constB14)) | v100(constB14)) <=> ((~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14)))),
% 48.18/31.24 inference(rewrite,[status(thm)],[])).
% 48.18/31.24 tff(2094,plain,
% 48.18/31.24 (((~![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))))),
% 48.18/31.24 inference(monotonicity,[status(thm)],[2093])).
% 48.18/31.24 tff(2095,plain,
% 48.18/31.24 (((~![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)))),
% 48.18/31.24 inference(transitivity,[status(thm)],[2094, 2092])).
% 48.18/31.24 tff(2096,plain,
% 48.18/31.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB13, constB14)) | (~v101(constB14)) | (~v110(constB14)) | v100(constB14))),
% 48.18/31.24 inference(quant_inst,[status(thm)],[])).
% 48.18/31.24 tff(2097,plain,
% 48.18/31.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14))),
% 48.18/31.24 inference(modus_ponens,[status(thm)],[2096, 2095])).
% 48.18/31.24 tff(2098,plain,
% 48.18/31.24 (v100(constB14) | (~v101(constB14)) | (~v110(constB14))),
% 48.18/31.24 inference(unit_resolution,[status(thm)],[2097, 318, 2066])).
% 48.18/31.24 tff(2099,plain,
% 48.18/31.24 (v100(constB14) | (~v110(constB14))),
% 48.18/31.24 inference(unit_resolution,[status(thm)],[2098, 2091])).
% 48.18/31.24 tff(2100,plain,
% 48.18/31.24 (v100(constB14)),
% 48.18/31.24 inference(unit_resolution,[status(thm)],[2099, 2074])).
% 48.18/31.24 tff(2101,plain,
% 48.18/31.24 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB13)) | v130(constB13, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB13)) | v130(constB13, bitIndex2))),
% 48.18/31.24 inference(rewrite,[status(thm)],[])).
% 48.18/31.24 tff(2102,plain,
% 48.18/31.24 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB13)) | v130(constB13, bitIndex2))),
% 48.18/31.24 inference(quant_inst,[status(thm)],[])).
% 48.18/31.24 tff(2103,plain,
% 48.18/31.24 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB13)) | v130(constB13, bitIndex2)),
% 48.18/31.24 inference(modus_ponens,[status(thm)],[2102, 2101])).
% 48.18/31.24 tff(2104,plain,
% 48.18/31.24 (v130(constB13, bitIndex2)),
% 48.18/31.24 inference(unit_resolution,[status(thm)],[2103, 836, 2035])).
% 48.18/31.24 tff(2105,plain,
% 48.18/31.24 (((~![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))) | v26(constB13) | (~v130(constB13, bitIndex2)) | v127(constB13, bitIndex2))),
% 48.18/31.24 inference(rewrite,[status(thm)],[])).
% 48.18/31.24 tff(2106,plain,
% 48.18/31.24 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB13) | (~v130(constB13, bitIndex2)) | v127(constB13, bitIndex2))),
% 48.18/31.24 inference(quant_inst,[status(thm)],[])).
% 48.18/31.24 tff(2107,plain,
% 48.18/31.24 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB13) | (~v130(constB13, bitIndex2)) | v127(constB13, bitIndex2)),
% 48.18/31.24 inference(modus_ponens,[status(thm)],[2106, 2105])).
% 48.18/31.24 tff(2108,plain,
% 48.18/31.24 ((~v130(constB13, bitIndex2)) | v127(constB13, bitIndex2)),
% 48.18/31.24 inference(unit_resolution,[status(thm)],[2107, 351, 2051])).
% 48.18/31.24 tff(2109,plain,
% 48.18/31.24 (v127(constB13, bitIndex2)),
% 48.18/31.24 inference(unit_resolution,[status(thm)],[2108, 2104])).
% 48.18/31.24 tff(2110,plain,
% 48.18/31.24 (((~![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))),
% 48.18/31.24 inference(rewrite,[status(thm)],[])).
% 48.18/31.24 tff(2111,plain,
% 48.18/31.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB13, constB14)) | (~v127(constB13, bitIndex2)) | v129(constB14, bitIndex2))),
% 48.18/31.24 inference(quant_inst,[status(thm)],[])).
% 48.18/31.24 tff(2112,plain,
% 48.18/31.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB13, constB14)) | (~v127(constB13, bitIndex2)) | v129(constB14, bitIndex2)),
% 48.18/31.24 inference(modus_ponens,[status(thm)],[2111, 2110])).
% 48.18/31.24 tff(2113,plain,
% 48.18/31.24 ((~v127(constB13, bitIndex2)) | v129(constB14, bitIndex2)),
% 48.18/31.24 inference(unit_resolution,[status(thm)],[2112, 366, 2066])).
% 48.18/31.24 tff(2114,plain,
% 48.18/31.24 (v129(constB14, bitIndex2)),
% 48.18/31.24 inference(unit_resolution,[status(thm)],[2113, 2109])).
% 48.18/31.24 tff(2115,plain,
% 48.18/31.24 (((~![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)))),
% 48.18/31.24 inference(rewrite,[status(thm)],[])).
% 48.18/31.24 tff(2116,plain,
% 48.18/31.24 ((v90(constB14, bitIndex2) | (~v100(constB14)) | (~v129(constB14, bitIndex2))) <=> (v90(constB14, bitIndex2) | (~v129(constB14, bitIndex2)) | (~v100(constB14)))),
% 48.18/31.24 inference(rewrite,[status(thm)],[])).
% 48.18/31.24 tff(2117,plain,
% 48.18/31.24 (((~![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))))),
% 48.18/31.25 inference(monotonicity,[status(thm)],[2116])).
% 48.18/31.25 tff(2118,plain,
% 48.18/31.25 (((~![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)))),
% 48.18/31.25 inference(transitivity,[status(thm)],[2117, 2115])).
% 48.18/31.25 tff(2119,plain,
% 48.18/31.25 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB14, bitIndex2) | (~v100(constB14)) | (~v129(constB14, bitIndex2)))),
% 48.18/31.25 inference(quant_inst,[status(thm)],[])).
% 48.18/31.25 tff(2120,plain,
% 48.18/31.25 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB14, bitIndex2) | (~v129(constB14, bitIndex2)) | (~v100(constB14))),
% 48.18/31.25 inference(modus_ponens,[status(thm)],[2119, 2118])).
% 48.18/31.25 tff(2121,plain,
% 48.18/31.25 (v90(constB14, bitIndex2) | (~v100(constB14))),
% 48.18/31.25 inference(unit_resolution,[status(thm)],[2120, 381, 2114])).
% 48.18/31.25 tff(2122,plain,
% 48.18/31.25 (v90(constB14, bitIndex2)),
% 48.18/31.25 inference(unit_resolution,[status(thm)],[2121, 2100])).
% 48.18/31.25 tff(2123,plain,
% 48.18/31.25 ((~v1(constB15)) <=> (~v1(constB15))),
% 48.18/31.25 inference(rewrite,[status(thm)],[])).
% 48.18/31.25 tff(2124,axiom,(~v1(constB15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_15_1_1')).
% 48.18/31.25 tff(2125,plain,
% 48.18/31.25 (~v1(constB15)),
% 48.18/31.25 inference(modus_ponens,[status(thm)],[2124, 2123])).
% 48.18/31.25 tff(2126,plain,
% 48.18/31.25 (nextState(constB14, constB15) <=> nextState(constB14, constB15)),
% 48.18/31.25 inference(rewrite,[status(thm)],[])).
% 48.18/31.25 tff(2127,axiom,(nextState(constB14, constB15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_14_1')).
% 48.18/31.25 tff(2128,plain,
% 48.18/31.25 (nextState(constB14, constB15)),
% 48.18/31.25 inference(modus_ponens,[status(thm)],[2127, 2126])).
% 48.18/31.25 tff(2129,plain,
% 48.18/31.25 (((~![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)))),
% 48.18/31.25 inference(rewrite,[status(thm)],[])).
% 48.18/31.25 tff(2130,plain,
% 48.18/31.25 (((~nextState(constB14, constB15)) | (~v101(constB15)) | v1(constB15)) <=> (v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15)))),
% 48.18/31.25 inference(rewrite,[status(thm)],[])).
% 48.18/31.25 tff(2131,plain,
% 48.18/31.25 (((~![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))))),
% 48.18/31.25 inference(monotonicity,[status(thm)],[2130])).
% 48.18/31.25 tff(2132,plain,
% 48.18/31.25 (((~![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)))),
% 48.18/31.25 inference(transitivity,[status(thm)],[2131, 2129])).
% 48.18/31.25 tff(2133,plain,
% 48.18/31.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB14, constB15)) | (~v101(constB15)) | v1(constB15))),
% 48.18/31.25 inference(quant_inst,[status(thm)],[])).
% 48.18/31.25 tff(2134,plain,
% 48.18/31.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15))),
% 48.18/31.25 inference(modus_ponens,[status(thm)],[2133, 2132])).
% 48.18/31.25 tff(2135,plain,
% 48.18/31.25 (~v101(constB15)),
% 48.18/31.25 inference(unit_resolution,[status(thm)],[2134, 49, 2128, 2125])).
% 48.18/31.25 tff(2136,plain,
% 48.18/31.25 (((~![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)))),
% 48.18/31.25 inference(rewrite,[status(thm)],[])).
% 48.18/31.25 tff(2137,plain,
% 48.18/31.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB14, constB15)) | v101(constB15) | (~v100(constB15)))),
% 48.18/31.25 inference(quant_inst,[status(thm)],[])).
% 48.18/31.25 tff(2138,plain,
% 48.18/31.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB14, constB15)) | v101(constB15) | (~v100(constB15))),
% 48.18/31.25 inference(modus_ponens,[status(thm)],[2137, 2136])).
% 48.18/31.25 tff(2139,plain,
% 48.18/31.25 (v101(constB15) | (~v100(constB15))),
% 48.18/31.25 inference(unit_resolution,[status(thm)],[2138, 66, 2128])).
% 48.18/31.25 tff(2140,plain,
% 48.18/31.25 (~v100(constB15)),
% 48.18/31.25 inference(unit_resolution,[status(thm)],[2139, 2135])).
% 48.18/31.25 tff(2141,plain,
% 48.18/31.25 (((~![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))),
% 48.18/31.25 inference(rewrite,[status(thm)],[])).
% 48.18/31.25 tff(2142,plain,
% 48.18/31.25 (((~nextState(constB14, constB15)) | (~v90(constB14, bitIndex2)) | v100(constB15) | v90(constB15, bitIndex2)) <=> ((~v90(constB14, bitIndex2)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex2))),
% 48.18/31.25 inference(rewrite,[status(thm)],[])).
% 48.18/31.25 tff(2143,plain,
% 48.18/31.25 (((~![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)))),
% 48.18/31.25 inference(monotonicity,[status(thm)],[2142])).
% 48.18/31.25 tff(2144,plain,
% 48.18/31.25 (((~![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))),
% 48.18/31.25 inference(transitivity,[status(thm)],[2143, 2141])).
% 48.18/31.25 tff(2145,plain,
% 48.18/31.25 ((~![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))),
% 48.18/31.25 inference(quant_inst,[status(thm)],[])).
% 48.18/31.25 tff(2146,plain,
% 48.18/31.25 ((~![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)),
% 48.18/31.25 inference(modus_ponens,[status(thm)],[2145, 2144])).
% 48.18/31.25 tff(2147,plain,
% 48.18/31.25 ((~v90(constB14, bitIndex2)) | v100(constB15) | v90(constB15, bitIndex2)),
% 48.18/31.25 inference(unit_resolution,[status(thm)],[2146, 417, 2128])).
% 48.18/31.25 tff(2148,plain,
% 48.18/31.25 ((~v90(constB14, bitIndex2)) | v90(constB15, bitIndex2)),
% 48.18/31.25 inference(unit_resolution,[status(thm)],[2147, 2140])).
% 48.18/31.25 tff(2149,plain,
% 48.18/31.25 (v90(constB15, bitIndex2)),
% 48.18/31.25 inference(unit_resolution,[status(thm)],[2148, 2122])).
% 48.18/31.25 tff(2150,plain,
% 48.18/31.25 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB13)) | v130(constB13, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB13)) | v130(constB13, bitIndex1))),
% 48.18/31.25 inference(rewrite,[status(thm)],[])).
% 48.18/31.25 tff(2151,plain,
% 48.18/31.25 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB13)) | v130(constB13, bitIndex1))),
% 48.18/31.25 inference(quant_inst,[status(thm)],[])).
% 48.18/31.25 tff(2152,plain,
% 48.18/31.25 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB13)) | v130(constB13, bitIndex1)),
% 48.18/31.25 inference(modus_ponens,[status(thm)],[2151, 2150])).
% 48.18/31.25 tff(2153,plain,
% 48.18/31.25 (v130(constB13, bitIndex1)),
% 48.18/31.25 inference(unit_resolution,[status(thm)],[2152, 667, 2035])).
% 48.18/31.25 tff(2154,plain,
% 48.18/31.25 (((~![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))) | v26(constB13) | (~v130(constB13, bitIndex1)) | v127(constB13, bitIndex1))),
% 48.18/31.25 inference(rewrite,[status(thm)],[])).
% 48.18/31.25 tff(2155,plain,
% 48.18/31.25 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB13) | (~v130(constB13, bitIndex1)) | v127(constB13, bitIndex1))),
% 48.18/31.25 inference(quant_inst,[status(thm)],[])).
% 48.18/31.25 tff(2156,plain,
% 48.18/31.25 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB13) | (~v130(constB13, bitIndex1)) | v127(constB13, bitIndex1)),
% 48.18/31.25 inference(modus_ponens,[status(thm)],[2155, 2154])).
% 48.18/31.25 tff(2157,plain,
% 48.18/31.25 ((~v130(constB13, bitIndex1)) | v127(constB13, bitIndex1)),
% 48.18/31.25 inference(unit_resolution,[status(thm)],[2156, 681, 2051])).
% 48.18/31.25 tff(2158,plain,
% 48.18/31.25 (v127(constB13, bitIndex1)),
% 48.18/31.25 inference(unit_resolution,[status(thm)],[2157, 2153])).
% 48.18/31.25 tff(2159,plain,
% 48.18/31.25 (((~![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))),
% 48.18/31.25 inference(rewrite,[status(thm)],[])).
% 48.18/31.25 tff(2160,plain,
% 48.18/31.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB13, constB14)) | (~v127(constB13, bitIndex1)) | v129(constB14, bitIndex1))),
% 48.18/31.25 inference(quant_inst,[status(thm)],[])).
% 48.18/31.25 tff(2161,plain,
% 48.18/31.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB13, constB14)) | (~v127(constB13, bitIndex1)) | v129(constB14, bitIndex1)),
% 48.18/31.25 inference(modus_ponens,[status(thm)],[2160, 2159])).
% 48.18/31.25 tff(2162,plain,
% 48.18/31.25 ((~v127(constB13, bitIndex1)) | v129(constB14, bitIndex1)),
% 48.18/31.25 inference(unit_resolution,[status(thm)],[2161, 696, 2066])).
% 48.18/31.25 tff(2163,plain,
% 48.18/31.25 (v129(constB14, bitIndex1)),
% 48.18/31.25 inference(unit_resolution,[status(thm)],[2162, 2158])).
% 48.18/31.25 tff(2164,plain,
% 48.18/31.25 (((~![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)))),
% 48.18/31.25 inference(rewrite,[status(thm)],[])).
% 48.18/31.25 tff(2165,plain,
% 48.18/31.25 ((v90(constB14, bitIndex1) | (~v100(constB14)) | (~v129(constB14, bitIndex1))) <=> (v90(constB14, bitIndex1) | (~v129(constB14, bitIndex1)) | (~v100(constB14)))),
% 48.18/31.25 inference(rewrite,[status(thm)],[])).
% 48.18/31.25 tff(2166,plain,
% 48.18/31.25 (((~![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))))),
% 48.18/31.25 inference(monotonicity,[status(thm)],[2165])).
% 48.18/31.25 tff(2167,plain,
% 48.18/31.25 (((~![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)))),
% 48.18/31.25 inference(transitivity,[status(thm)],[2166, 2164])).
% 48.18/31.25 tff(2168,plain,
% 48.18/31.25 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB14, bitIndex1) | (~v100(constB14)) | (~v129(constB14, bitIndex1)))),
% 48.18/31.25 inference(quant_inst,[status(thm)],[])).
% 48.18/31.25 tff(2169,plain,
% 48.18/31.25 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB14, bitIndex1) | (~v129(constB14, bitIndex1)) | (~v100(constB14))),
% 48.18/31.25 inference(modus_ponens,[status(thm)],[2168, 2167])).
% 48.18/31.25 tff(2170,plain,
% 48.18/31.25 (v90(constB14, bitIndex1) | (~v100(constB14))),
% 48.18/31.25 inference(unit_resolution,[status(thm)],[2169, 711, 2163])).
% 48.18/31.25 tff(2171,plain,
% 48.18/31.25 (v90(constB14, bitIndex1)),
% 48.18/31.25 inference(unit_resolution,[status(thm)],[2170, 2100])).
% 48.18/31.25 tff(2172,plain,
% 48.18/31.25 (((~![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))),
% 48.18/31.25 inference(rewrite,[status(thm)],[])).
% 48.18/31.25 tff(2173,plain,
% 48.18/31.25 (((~nextState(constB14, constB15)) | (~v90(constB14, bitIndex1)) | v100(constB15) | v90(constB15, bitIndex1)) <=> ((~v90(constB14, bitIndex1)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, bitIndex1))),
% 48.18/31.25 inference(rewrite,[status(thm)],[])).
% 48.18/31.25 tff(2174,plain,
% 48.18/31.25 (((~![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)))),
% 48.18/31.25 inference(monotonicity,[status(thm)],[2173])).
% 48.18/31.25 tff(2175,plain,
% 48.18/31.25 (((~![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))),
% 48.18/31.25 inference(transitivity,[status(thm)],[2174, 2172])).
% 48.18/31.25 tff(2176,plain,
% 48.18/31.25 ((~![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))),
% 48.18/31.25 inference(quant_inst,[status(thm)],[])).
% 48.18/31.25 tff(2177,plain,
% 48.18/31.25 ((~![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)),
% 48.18/31.25 inference(modus_ponens,[status(thm)],[2176, 2175])).
% 48.18/31.25 tff(2178,plain,
% 48.18/31.25 ((~v90(constB14, bitIndex1)) | v100(constB15) | v90(constB15, bitIndex1)),
% 48.18/31.25 inference(unit_resolution,[status(thm)],[2177, 747, 2128])).
% 48.18/31.25 tff(2179,plain,
% 48.18/31.25 ((~v90(constB14, bitIndex1)) | v90(constB15, bitIndex1)),
% 48.18/31.25 inference(unit_resolution,[status(thm)],[2178, 2140])).
% 48.18/31.25 tff(2180,plain,
% 48.18/31.25 (v90(constB15, bitIndex1)),
% 48.18/31.25 inference(unit_resolution,[status(thm)],[2179, 2171])).
% 48.18/31.25 tff(2181,plain,
% 48.18/31.25 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB13)) | (~v130(constB13, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB13)) | (~v130(constB13, bitIndex0)))),
% 48.18/31.25 inference(rewrite,[status(thm)],[])).
% 48.18/31.25 tff(2182,plain,
% 48.18/31.25 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB13)) | (~v130(constB13, bitIndex0)))),
% 48.18/31.25 inference(quant_inst,[status(thm)],[])).
% 48.18/31.25 tff(2183,plain,
% 48.18/31.25 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB13)) | (~v130(constB13, bitIndex0))),
% 48.18/31.25 inference(modus_ponens,[status(thm)],[2182, 2181])).
% 48.18/31.25 tff(2184,plain,
% 48.18/31.25 (~v130(constB13, bitIndex0)),
% 48.18/31.25 inference(unit_resolution,[status(thm)],[2183, 975, 2035])).
% 48.18/31.25 tff(2185,plain,
% 48.18/31.25 (((~![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))),
% 48.18/31.25 inference(rewrite,[status(thm)],[])).
% 48.18/31.25 tff(2186,plain,
% 48.18/31.25 ((v26(constB13) | v130(constB13, bitIndex0) | (~v127(constB13, bitIndex0))) <=> ((~v127(constB13, bitIndex0)) | v26(constB13) | v130(constB13, bitIndex0))),
% 48.18/31.25 inference(rewrite,[status(thm)],[])).
% 48.18/31.25 tff(2187,plain,
% 48.18/31.25 (((~![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)))),
% 48.18/31.25 inference(monotonicity,[status(thm)],[2186])).
% 48.18/31.25 tff(2188,plain,
% 48.18/31.25 (((~![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))),
% 48.18/31.25 inference(transitivity,[status(thm)],[2187, 2185])).
% 48.18/31.25 tff(2189,plain,
% 48.18/31.25 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB13) | v130(constB13, bitIndex0) | (~v127(constB13, bitIndex0)))),
% 48.18/31.25 inference(quant_inst,[status(thm)],[])).
% 48.18/31.25 tff(2190,plain,
% 48.18/31.25 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB13, bitIndex0)) | v26(constB13) | v130(constB13, bitIndex0)),
% 48.18/31.25 inference(modus_ponens,[status(thm)],[2189, 2188])).
% 48.18/31.25 tff(2191,plain,
% 48.18/31.25 ((~v127(constB13, bitIndex0)) | v130(constB13, bitIndex0)),
% 48.18/31.25 inference(unit_resolution,[status(thm)],[2190, 524, 2051])).
% 48.18/31.25 tff(2192,plain,
% 48.18/31.25 (~v127(constB13, bitIndex0)),
% 48.18/31.25 inference(unit_resolution,[status(thm)],[2191, 2184])).
% 48.18/31.25 tff(2193,plain,
% 48.18/31.25 (((~![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)))),
% 48.18/31.25 inference(rewrite,[status(thm)],[])).
% 48.18/31.25 tff(2194,plain,
% 48.18/31.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB13, constB14)) | v127(constB13, bitIndex0) | (~v129(constB14, bitIndex0)))),
% 48.18/31.25 inference(quant_inst,[status(thm)],[])).
% 48.18/31.25 tff(2195,plain,
% 48.18/31.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB13, constB14)) | v127(constB13, bitIndex0) | (~v129(constB14, bitIndex0))),
% 48.18/31.25 inference(modus_ponens,[status(thm)],[2194, 2193])).
% 48.18/31.25 tff(2196,plain,
% 48.18/31.25 (v127(constB13, bitIndex0) | (~v129(constB14, bitIndex0))),
% 48.18/31.25 inference(unit_resolution,[status(thm)],[2195, 542, 2066])).
% 48.18/31.25 tff(2197,plain,
% 48.18/31.25 (~v129(constB14, bitIndex0)),
% 48.18/31.25 inference(unit_resolution,[status(thm)],[2196, 2192])).
% 48.18/31.25 tff(2198,plain,
% 48.18/31.25 (((~![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)))),
% 48.18/31.25 inference(rewrite,[status(thm)],[])).
% 48.18/31.25 tff(2199,plain,
% 48.18/31.25 (((~v90(constB14, bitIndex0)) | (~v100(constB14)) | v129(constB14, bitIndex0)) <=> ((~v90(constB14, bitIndex0)) | v129(constB14, bitIndex0) | (~v100(constB14)))),
% 48.18/31.25 inference(rewrite,[status(thm)],[])).
% 48.18/31.25 tff(2200,plain,
% 48.18/31.25 (((~![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))))),
% 48.18/31.25 inference(monotonicity,[status(thm)],[2199])).
% 48.18/31.25 tff(2201,plain,
% 48.18/31.25 (((~![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)))),
% 48.18/31.25 inference(transitivity,[status(thm)],[2200, 2198])).
% 48.18/31.25 tff(2202,plain,
% 48.18/31.25 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB14, bitIndex0)) | (~v100(constB14)) | v129(constB14, bitIndex0))),
% 48.18/31.25 inference(quant_inst,[status(thm)],[])).
% 48.18/31.25 tff(2203,plain,
% 48.18/31.25 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB14, bitIndex0)) | v129(constB14, bitIndex0) | (~v100(constB14))),
% 48.18/31.25 inference(modus_ponens,[status(thm)],[2202, 2201])).
% 48.18/31.25 tff(2204,plain,
% 48.18/31.25 ((~v90(constB14, bitIndex0)) | (~v100(constB14))),
% 48.18/31.25 inference(unit_resolution,[status(thm)],[2203, 557, 2197])).
% 48.18/31.25 tff(2205,plain,
% 48.18/31.25 (~v90(constB14, bitIndex0)),
% 48.18/31.25 inference(unit_resolution,[status(thm)],[2204, 2100])).
% 48.18/31.25 tff(2206,plain,
% 48.18/31.25 (((~![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)))),
% 48.18/31.25 inference(rewrite,[status(thm)],[])).
% 48.18/31.25 tff(2207,plain,
% 48.18/31.25 (((~nextState(constB14, constB15)) | v90(constB14, bitIndex0) | v100(constB15) | (~v90(constB15, bitIndex0))) <=> (v90(constB14, bitIndex0) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex0)))),
% 48.18/31.25 inference(rewrite,[status(thm)],[])).
% 48.18/31.25 tff(2208,plain,
% 48.18/31.25 (((~![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))))),
% 48.18/31.25 inference(monotonicity,[status(thm)],[2207])).
% 48.18/31.25 tff(2209,plain,
% 48.18/31.25 (((~![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)))),
% 48.18/31.25 inference(transitivity,[status(thm)],[2208, 2206])).
% 48.18/31.25 tff(2210,plain,
% 48.18/31.25 ((~![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)))),
% 48.18/31.25 inference(quant_inst,[status(thm)],[])).
% 48.18/31.25 tff(2211,plain,
% 48.18/31.25 ((~![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))),
% 48.18/31.25 inference(modus_ponens,[status(thm)],[2210, 2209])).
% 48.18/31.25 tff(2212,plain,
% 48.18/31.25 (v90(constB14, bitIndex0) | v100(constB15) | (~v90(constB15, bitIndex0))),
% 48.18/31.25 inference(unit_resolution,[status(thm)],[2211, 123, 2128])).
% 48.18/31.25 tff(2213,plain,
% 48.18/31.25 (v90(constB14, bitIndex0) | (~v90(constB15, bitIndex0))),
% 48.18/31.25 inference(unit_resolution,[status(thm)],[2212, 2140])).
% 48.18/31.25 tff(2214,plain,
% 48.18/31.25 (~v90(constB15, bitIndex0)),
% 48.18/31.25 inference(unit_resolution,[status(thm)],[2213, 2205])).
% 48.18/31.25 tff(2215,plain,
% 48.18/31.25 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB15, bitIndex0) | (~v90(constB15, bitIndex1)) | (~v90(constB15, bitIndex2)) | v125(constB15))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB15, bitIndex0) | (~v90(constB15, bitIndex1)) | (~v90(constB15, bitIndex2)) | v125(constB15))),
% 48.18/31.25 inference(rewrite,[status(thm)],[])).
% 48.18/31.25 tff(2216,plain,
% 48.18/31.25 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB15, bitIndex0) | (~v90(constB15, bitIndex1)) | (~v90(constB15, bitIndex2)) | v125(constB15))),
% 48.18/31.25 inference(quant_inst,[status(thm)],[])).
% 48.18/31.25 tff(2217,plain,
% 48.18/31.25 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB15, bitIndex0) | (~v90(constB15, bitIndex1)) | (~v90(constB15, bitIndex2)) | v125(constB15)),
% 48.18/31.25 inference(modus_ponens,[status(thm)],[2216, 2215])).
% 48.18/31.25 tff(2218,plain,
% 48.18/31.25 (v125(constB15)),
% 48.18/31.25 inference(unit_resolution,[status(thm)],[2217, 1019, 2214, 2180, 2149])).
% 48.18/31.25 tff(2219,plain,
% 48.18/31.25 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB15) | (~v125(constB15)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB15) | (~v125(constB15)))),
% 48.18/31.25 inference(rewrite,[status(thm)],[])).
% 48.18/31.25 tff(2220,plain,
% 48.18/31.25 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB15) | (~v125(constB15)))),
% 48.18/31.25 inference(quant_inst,[status(thm)],[])).
% 48.18/31.25 tff(2221,plain,
% 48.18/31.25 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB15) | (~v125(constB15))),
% 48.18/31.25 inference(modus_ponens,[status(thm)],[2220, 2219])).
% 48.18/31.25 tff(2222,plain,
% 48.18/31.26 (v113(constB15)),
% 48.18/31.26 inference(unit_resolution,[status(thm)],[2221, 1031, 2218])).
% 48.18/31.26 tff(2223,assumption,(v26(constB15)), introduced(assumption)).
% 48.18/31.26 tff(2224,plain,
% 48.18/31.26 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB15))),
% 48.18/31.26 inference(quant_inst,[status(thm)],[])).
% 48.18/31.26 tff(2225,plain,
% 48.18/31.26 ($false),
% 48.18/31.26 inference(unit_resolution,[status(thm)],[2224, 16, 2223])).
% 48.18/31.26 tff(2226,plain,(~v26(constB15)), inference(lemma,lemma(discharge,[]))).
% 48.18/31.26 tff(2227,plain,
% 48.18/31.26 (((~![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)))),
% 48.18/31.26 inference(rewrite,[status(thm)],[])).
% 48.18/31.26 tff(2228,plain,
% 48.18/31.26 ((v26(constB15) | (~v113(constB15)) | v112(constB15)) <=> (v26(constB15) | v112(constB15) | (~v113(constB15)))),
% 48.18/31.26 inference(rewrite,[status(thm)],[])).
% 48.18/31.26 tff(2229,plain,
% 48.18/31.26 (((~![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))))),
% 48.18/31.26 inference(monotonicity,[status(thm)],[2228])).
% 48.18/31.26 tff(2230,plain,
% 48.18/31.26 (((~![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)))),
% 48.18/31.26 inference(transitivity,[status(thm)],[2229, 2227])).
% 48.18/31.26 tff(2231,plain,
% 48.18/31.26 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB15) | (~v113(constB15)) | v112(constB15))),
% 48.18/31.26 inference(quant_inst,[status(thm)],[])).
% 48.18/31.26 tff(2232,plain,
% 48.18/31.26 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB15) | v112(constB15) | (~v113(constB15))),
% 48.18/31.26 inference(modus_ponens,[status(thm)],[2231, 2230])).
% 48.18/31.26 tff(2233,plain,
% 48.18/31.26 (v112(constB15) | (~v113(constB15))),
% 48.18/31.26 inference(unit_resolution,[status(thm)],[2232, 224, 2226])).
% 48.18/31.26 tff(2234,plain,
% 48.18/31.26 (v112(constB15)),
% 48.18/31.26 inference(unit_resolution,[status(thm)],[2233, 2222])).
% 48.18/31.26 tff(2235,plain,
% 48.18/31.26 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB15) | (~v112(constB15)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB15) | (~v112(constB15)))),
% 48.18/31.26 inference(rewrite,[status(thm)],[])).
% 48.18/31.26 tff(2236,plain,
% 48.18/31.26 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB15) | (~v112(constB15)))),
% 48.18/31.26 inference(quant_inst,[status(thm)],[])).
% 48.18/31.26 tff(2237,plain,
% 48.18/31.26 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB15) | (~v112(constB15))),
% 48.18/31.26 inference(modus_ponens,[status(thm)],[2236, 2235])).
% 48.18/31.26 tff(2238,plain,
% 48.18/31.26 (v108(constB15)),
% 48.18/31.26 inference(unit_resolution,[status(thm)],[2237, 236, 2234])).
% 48.18/31.26 tff(2239,plain,
% 48.18/31.26 (nextState(constB15, constB16) <=> nextState(constB15, constB16)),
% 48.18/31.26 inference(rewrite,[status(thm)],[])).
% 48.18/31.26 tff(2240,axiom,(nextState(constB15, constB16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_15_1')).
% 48.18/31.26 tff(2241,plain,
% 48.18/31.26 (nextState(constB15, constB16)),
% 48.18/31.26 inference(modus_ponens,[status(thm)],[2240, 2239])).
% 48.18/31.26 tff(2242,plain,
% 48.18/31.26 (((~![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)))),
% 48.18/31.26 inference(rewrite,[status(thm)],[])).
% 48.18/31.26 tff(2243,plain,
% 48.18/31.26 (((~nextState(constB15, constB16)) | (~v108(constB15)) | v110(constB16)) <=> ((~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15)))),
% 48.18/31.26 inference(rewrite,[status(thm)],[])).
% 48.18/31.26 tff(2244,plain,
% 48.18/31.26 (((~![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))))),
% 48.18/31.26 inference(monotonicity,[status(thm)],[2243])).
% 48.18/31.26 tff(2245,plain,
% 48.18/31.26 (((~![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)))),
% 48.18/31.26 inference(transitivity,[status(thm)],[2244, 2242])).
% 48.18/31.26 tff(2246,plain,
% 48.18/31.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB15, constB16)) | (~v108(constB15)) | v110(constB16))),
% 48.18/31.26 inference(quant_inst,[status(thm)],[])).
% 48.18/31.26 tff(2247,plain,
% 48.18/31.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15))),
% 48.18/31.26 inference(modus_ponens,[status(thm)],[2246, 2245])).
% 48.18/31.26 tff(2248,plain,
% 48.18/31.26 (v110(constB16) | (~v108(constB15))),
% 48.18/31.26 inference(unit_resolution,[status(thm)],[2247, 253, 2241])).
% 48.18/31.26 tff(2249,plain,
% 48.18/31.26 (v110(constB16)),
% 48.18/31.26 inference(unit_resolution,[status(thm)],[2248, 2238])).
% 48.18/31.26 tff(2250,plain,
% 48.18/31.26 (((~![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)))),
% 48.18/31.26 inference(rewrite,[status(thm)],[])).
% 48.18/31.26 tff(2251,plain,
% 48.18/31.26 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB15) | (~nextState(constB15, constB16)) | (~v104(constB16)))),
% 48.18/31.26 inference(quant_inst,[status(thm)],[])).
% 48.18/31.26 tff(2252,plain,
% 48.18/31.26 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB15) | (~nextState(constB15, constB16)) | (~v104(constB16))),
% 48.18/31.26 inference(modus_ponens,[status(thm)],[2251, 2250])).
% 48.18/31.26 tff(2253,plain,
% 48.18/31.26 (~v104(constB16)),
% 48.18/31.26 inference(unit_resolution,[status(thm)],[2252, 271, 2241, 2125])).
% 48.18/31.26 tff(2254,plain,
% 48.18/31.26 (((~![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))),
% 48.18/31.26 inference(rewrite,[status(thm)],[])).
% 48.18/31.26 tff(2255,plain,
% 48.18/31.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB15, constB16)) | v102(constB16) | v104(constB16))),
% 48.18/31.26 inference(quant_inst,[status(thm)],[])).
% 48.18/31.26 tff(2256,plain,
% 48.18/31.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB15, constB16)) | v102(constB16) | v104(constB16)),
% 48.18/31.26 inference(modus_ponens,[status(thm)],[2255, 2254])).
% 48.18/31.26 tff(2257,plain,
% 48.18/31.26 (v102(constB16) | v104(constB16)),
% 48.18/31.26 inference(unit_resolution,[status(thm)],[2256, 285, 2241])).
% 48.18/31.26 tff(2258,plain,
% 48.18/31.26 (v102(constB16)),
% 48.18/31.26 inference(unit_resolution,[status(thm)],[2257, 2253])).
% 48.18/31.26 tff(2259,plain,
% 48.18/31.26 (v1(constB16) <=> v1(constB16)),
% 48.18/31.26 inference(rewrite,[status(thm)],[])).
% 48.18/31.26 tff(2260,axiom,(v1(constB16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_16_1')).
% 48.18/31.26 tff(2261,plain,
% 48.18/31.26 (v1(constB16)),
% 48.18/31.26 inference(modus_ponens,[status(thm)],[2260, 2259])).
% 48.18/31.26 tff(2262,plain,
% 48.18/31.26 (((~![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)))),
% 48.18/31.26 inference(rewrite,[status(thm)],[])).
% 48.18/31.26 tff(2263,plain,
% 48.18/31.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB15, constB16)) | v101(constB16) | (~v102(constB16)) | (~v1(constB16)))),
% 48.18/31.26 inference(quant_inst,[status(thm)],[])).
% 48.18/31.26 tff(2264,plain,
% 48.18/31.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB15, constB16)) | v101(constB16) | (~v102(constB16)) | (~v1(constB16))),
% 48.18/31.26 inference(modus_ponens,[status(thm)],[2263, 2262])).
% 48.18/31.26 tff(2265,plain,
% 48.18/31.26 (v101(constB16) | (~v102(constB16))),
% 48.18/31.26 inference(unit_resolution,[status(thm)],[2264, 303, 2241, 2261])).
% 48.18/31.26 tff(2266,plain,
% 48.18/31.26 (v101(constB16)),
% 48.18/31.26 inference(unit_resolution,[status(thm)],[2265, 2258])).
% 48.18/31.26 tff(2267,plain,
% 48.18/31.26 (((~![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)))),
% 48.18/31.26 inference(rewrite,[status(thm)],[])).
% 48.18/31.26 tff(2268,plain,
% 48.18/31.26 (((~nextState(constB15, constB16)) | (~v101(constB16)) | (~v110(constB16)) | v100(constB16)) <=> ((~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16)))),
% 48.18/31.26 inference(rewrite,[status(thm)],[])).
% 48.18/31.26 tff(2269,plain,
% 48.18/31.26 (((~![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))))),
% 48.18/31.26 inference(monotonicity,[status(thm)],[2268])).
% 48.18/31.26 tff(2270,plain,
% 48.18/31.26 (((~![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)))),
% 48.18/31.26 inference(transitivity,[status(thm)],[2269, 2267])).
% 48.18/31.26 tff(2271,plain,
% 48.18/31.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB15, constB16)) | (~v101(constB16)) | (~v110(constB16)) | v100(constB16))),
% 48.18/31.26 inference(quant_inst,[status(thm)],[])).
% 48.18/31.26 tff(2272,plain,
% 48.18/31.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16))),
% 48.18/31.26 inference(modus_ponens,[status(thm)],[2271, 2270])).
% 48.18/31.26 tff(2273,plain,
% 48.18/31.26 (v100(constB16) | (~v101(constB16)) | (~v110(constB16))),
% 48.18/31.26 inference(unit_resolution,[status(thm)],[2272, 318, 2241])).
% 48.18/31.26 tff(2274,plain,
% 48.18/31.26 (v100(constB16) | (~v110(constB16))),
% 48.18/31.26 inference(unit_resolution,[status(thm)],[2273, 2266])).
% 48.18/31.26 tff(2275,plain,
% 48.18/31.26 (v100(constB16)),
% 48.18/31.26 inference(unit_resolution,[status(thm)],[2274, 2249])).
% 48.18/31.26 tff(2276,plain,
% 48.18/31.26 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB15, bitIndex2)) | (~v121(constB15)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB15, bitIndex2)) | (~v121(constB15)))),
% 48.18/31.26 inference(rewrite,[status(thm)],[])).
% 48.18/31.26 tff(2277,plain,
% 48.18/31.26 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB15, bitIndex2)) | (~v121(constB15)))),
% 48.18/31.26 inference(quant_inst,[status(thm)],[])).
% 48.18/31.26 tff(2278,plain,
% 48.18/31.26 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB15, bitIndex2)) | (~v121(constB15))),
% 48.18/31.26 inference(modus_ponens,[status(thm)],[2277, 2276])).
% 48.18/31.26 tff(2279,plain,
% 48.18/31.26 (~v121(constB15)),
% 48.18/31.26 inference(unit_resolution,[status(thm)],[2278, 883, 2149])).
% 48.18/31.26 tff(2280,plain,
% 48.18/31.26 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB15, bitIndex2)) | (~v122(constB15)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB15, bitIndex2)) | (~v122(constB15)))),
% 48.18/31.26 inference(rewrite,[status(thm)],[])).
% 48.18/31.26 tff(2281,plain,
% 48.18/31.26 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB15, bitIndex2)) | (~v122(constB15)))),
% 48.18/31.26 inference(quant_inst,[status(thm)],[])).
% 48.18/31.26 tff(2282,plain,
% 48.18/31.26 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB15, bitIndex2)) | (~v122(constB15))),
% 48.18/31.26 inference(modus_ponens,[status(thm)],[2281, 2280])).
% 48.18/31.26 tff(2283,plain,
% 48.18/31.26 (~v122(constB15)),
% 48.18/31.26 inference(unit_resolution,[status(thm)],[2282, 894, 2149])).
% 48.18/31.26 tff(2284,plain,
% 48.18/31.26 (^[VarCurr: $i] : refl(((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1))))),
% 48.18/31.26 inference(bind,[status(th)],[])).
% 48.18/31.26 tff(2285,plain,
% 48.18/31.26 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 48.18/31.26 inference(quant_intro,[status(thm)],[2284])).
% 48.18/31.26 tff(2286,plain,
% 48.18/31.26 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 48.18/31.26 inference(rewrite,[status(thm)],[])).
% 48.18/31.26 tff(2287,plain,
% 48.18/31.26 (^[VarCurr: $i] : rewrite(((~v90(VarCurr, bitIndex1)) | (~v119(VarCurr))) <=> ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1))))),
% 48.18/31.26 inference(bind,[status(th)],[])).
% 48.18/31.26 tff(2288,plain,
% 48.18/31.26 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v119(VarCurr))) <=> ![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 48.18/31.26 inference(quant_intro,[status(thm)],[2287])).
% 48.18/31.26 tff(2289,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v119(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_3')).
% 48.18/31.26 tff(2290,plain,
% 48.18/31.26 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 48.18/31.26 inference(modus_ponens,[status(thm)],[2289, 2288])).
% 48.18/31.26 tff(2291,plain,
% 48.18/31.26 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 48.18/31.26 inference(modus_ponens,[status(thm)],[2290, 2286])).
% 48.18/31.26 tff(2292,plain,(
% 48.18/31.26 ![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 48.18/31.26 inference(skolemize,[status(sab)],[2291])).
% 48.18/31.26 tff(2293,plain,
% 48.18/31.26 (![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))),
% 48.18/31.26 inference(modus_ponens,[status(thm)],[2292, 2285])).
% 48.18/31.26 tff(2294,plain,
% 48.18/31.26 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB15)) | (~v90(constB15, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB15)) | (~v90(constB15, bitIndex1)))),
% 48.18/31.26 inference(rewrite,[status(thm)],[])).
% 48.18/31.26 tff(2295,plain,
% 48.18/31.26 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB15)) | (~v90(constB15, bitIndex1)))),
% 48.18/31.26 inference(quant_inst,[status(thm)],[])).
% 48.18/31.26 tff(2296,plain,
% 48.18/31.26 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB15)) | (~v90(constB15, bitIndex1))),
% 48.18/31.26 inference(modus_ponens,[status(thm)],[2295, 2294])).
% 48.18/31.26 tff(2297,plain,
% 48.18/31.26 (~v119(constB15)),
% 48.18/31.26 inference(unit_resolution,[status(thm)],[2296, 2293, 2180])).
% 48.18/31.26 tff(2298,plain,
% 48.18/31.26 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB15, bitIndex1)) | (~v123(constB15)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB15, bitIndex1)) | (~v123(constB15)))),
% 48.18/31.26 inference(rewrite,[status(thm)],[])).
% 48.18/31.26 tff(2299,plain,
% 48.18/31.26 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB15, bitIndex1)) | (~v123(constB15)))),
% 48.18/31.26 inference(quant_inst,[status(thm)],[])).
% 48.18/31.26 tff(2300,plain,
% 48.18/31.26 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB15, bitIndex1)) | (~v123(constB15))),
% 48.18/31.26 inference(modus_ponens,[status(thm)],[2299, 2298])).
% 48.18/31.26 tff(2301,plain,
% 48.18/31.26 (~v123(constB15)),
% 48.18/31.26 inference(unit_resolution,[status(thm)],[2300, 774, 2180])).
% 48.18/31.26 tff(2302,plain,
% 48.18/31.26 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB15, bitIndex1)) | (~v124(constB15)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB15, bitIndex1)) | (~v124(constB15)))),
% 48.18/31.26 inference(rewrite,[status(thm)],[])).
% 48.18/31.26 tff(2303,plain,
% 48.18/31.26 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB15, bitIndex1)) | (~v124(constB15)))),
% 48.18/31.26 inference(quant_inst,[status(thm)],[])).
% 48.18/31.26 tff(2304,plain,
% 48.18/31.26 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB15, bitIndex1)) | (~v124(constB15))),
% 48.18/31.26 inference(modus_ponens,[status(thm)],[2303, 2302])).
% 48.18/31.26 tff(2305,plain,
% 48.18/31.26 (~v124(constB15)),
% 48.18/31.26 inference(unit_resolution,[status(thm)],[2304, 763, 2180])).
% 48.18/31.26 tff(2306,plain,
% 48.18/31.26 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr))) <=> ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr))))),
% 48.18/31.26 inference(bind,[status(th)],[])).
% 48.18/31.26 tff(2307,plain,
% 48.18/31.26 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))),
% 48.18/31.26 inference(quant_intro,[status(thm)],[2306])).
% 48.18/31.26 tff(2308,plain,
% 48.18/31.26 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))),
% 48.18/31.26 inference(rewrite,[status(thm)],[])).
% 48.18/31.26 tff(2309,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3_1_1_4')).
% 48.18/31.26 tff(2310,plain,
% 48.18/31.26 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))),
% 48.18/31.26 inference(modus_ponens,[status(thm)],[2309, 2308])).
% 48.18/31.26 tff(2311,plain,(
% 48.18/31.26 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))),
% 48.18/31.26 inference(skolemize,[status(sab)],[2310])).
% 48.18/31.26 tff(2312,plain,
% 48.18/31.26 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))),
% 48.18/31.26 inference(modus_ponens,[status(thm)],[2311, 2307])).
% 48.18/31.26 tff(2313,plain,
% 48.18/31.26 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB15, bitIndex1)) | (~v120(constB15)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB15, bitIndex1)) | (~v120(constB15)))),
% 48.18/31.26 inference(rewrite,[status(thm)],[])).
% 48.18/31.26 tff(2314,plain,
% 48.18/31.26 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB15, bitIndex1)) | (~v120(constB15)))),
% 48.18/31.26 inference(quant_inst,[status(thm)],[])).
% 48.18/31.26 tff(2315,plain,
% 48.18/31.26 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB15, bitIndex1)) | (~v120(constB15))),
% 48.18/31.26 inference(modus_ponens,[status(thm)],[2314, 2313])).
% 48.18/31.26 tff(2316,plain,
% 48.18/31.26 (~v120(constB15)),
% 48.18/31.26 inference(unit_resolution,[status(thm)],[2315, 2312, 2180])).
% 48.18/31.26 tff(2317,plain,
% 48.18/31.26 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB15, bitIndex1)) | 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, bitIndex1)))) | (~v130(constB15, bitIndex1)) | v120(constB15) | v119(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15))),
% 48.18/31.26 inference(rewrite,[status(thm)],[])).
% 48.18/31.26 tff(2318,plain,
% 48.18/31.26 ((v120(constB15) | v119(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | (~v130(constB15, bitIndex1))) <=> ((~v130(constB15, bitIndex1)) | v120(constB15) | v119(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15))),
% 48.18/31.26 inference(rewrite,[status(thm)],[])).
% 48.18/31.26 tff(2319,plain,
% 48.18/31.26 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB15) | v119(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | (~v130(constB15, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB15, bitIndex1)) | v120(constB15) | v119(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15)))),
% 48.18/31.26 inference(monotonicity,[status(thm)],[2318])).
% 48.18/31.26 tff(2320,plain,
% 48.18/31.26 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB15) | v119(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | (~v130(constB15, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB15, bitIndex1)) | v120(constB15) | v119(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15))),
% 48.18/31.26 inference(transitivity,[status(thm)],[2319, 2317])).
% 48.18/31.26 tff(2321,plain,
% 48.18/31.26 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB15) | v119(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | (~v130(constB15, bitIndex1)))),
% 48.18/31.26 inference(quant_inst,[status(thm)],[])).
% 48.18/31.26 tff(2322,plain,
% 48.18/31.26 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB15, bitIndex1)) | v120(constB15) | v119(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15)),
% 48.18/31.26 inference(modus_ponens,[status(thm)],[2321, 2320])).
% 48.18/31.26 tff(2323,plain,
% 48.18/31.26 (~v130(constB15, bitIndex1)),
% 48.18/31.26 inference(unit_resolution,[status(thm)],[2322, 1143, 2316, 2305, 2301, 2297, 2283, 2279])).
% 48.18/31.26 tff(2324,assumption,(v127(constB15, bitIndex1)), introduced(assumption)).
% 48.18/31.26 tff(2325,assumption,(~v130(constB15, bitIndex1)), introduced(assumption)).
% 48.18/31.26 tff(2326,plain,
% 48.18/31.26 (((~![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))),
% 48.18/31.26 inference(rewrite,[status(thm)],[])).
% 48.18/31.26 tff(2327,plain,
% 48.18/31.26 ((v26(constB15) | v130(constB15, bitIndex1) | (~v127(constB15, bitIndex1))) <=> ((~v127(constB15, bitIndex1)) | v26(constB15) | v130(constB15, bitIndex1))),
% 48.18/31.26 inference(rewrite,[status(thm)],[])).
% 48.18/31.26 tff(2328,plain,
% 48.18/31.26 (((~![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)))),
% 48.18/31.26 inference(monotonicity,[status(thm)],[2327])).
% 48.18/31.26 tff(2329,plain,
% 48.18/31.26 (((~![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))),
% 48.18/31.26 inference(transitivity,[status(thm)],[2328, 2326])).
% 48.18/31.26 tff(2330,plain,
% 48.18/31.26 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB15) | v130(constB15, bitIndex1) | (~v127(constB15, bitIndex1)))),
% 48.18/31.26 inference(quant_inst,[status(thm)],[])).
% 48.18/31.26 tff(2331,plain,
% 48.18/31.26 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB15, bitIndex1)) | v26(constB15) | v130(constB15, bitIndex1)),
% 48.18/31.26 inference(modus_ponens,[status(thm)],[2330, 2329])).
% 48.18/31.26 tff(2332,plain,
% 48.18/31.26 ((~v127(constB15, bitIndex1)) | v26(constB15)),
% 48.18/31.26 inference(unit_resolution,[status(thm)],[2331, 450, 2325])).
% 48.18/31.26 tff(2333,plain,
% 48.18/31.26 (v26(constB15)),
% 48.18/31.26 inference(unit_resolution,[status(thm)],[2332, 2324])).
% 48.18/31.26 tff(2334,plain,
% 48.18/31.26 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB15)) | (~v127(constB15, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB15)) | (~v127(constB15, bitIndex1)))),
% 48.18/31.26 inference(rewrite,[status(thm)],[])).
% 48.18/31.26 tff(2335,plain,
% 48.18/31.26 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB15)) | (~v127(constB15, bitIndex1)))),
% 48.18/31.26 inference(quant_inst,[status(thm)],[])).
% 48.18/31.26 tff(2336,plain,
% 48.18/31.26 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB15)) | (~v127(constB15, bitIndex1))),
% 48.18/31.26 inference(modus_ponens,[status(thm)],[2335, 2334])).
% 48.18/31.26 tff(2337,plain,
% 48.18/31.26 ($false),
% 48.18/31.26 inference(unit_resolution,[status(thm)],[2336, 1959, 2324, 2333])).
% 48.18/31.26 tff(2338,plain,((~v127(constB15, bitIndex1)) | v130(constB15, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 48.18/31.26 tff(2339,plain,
% 48.18/31.26 (~v127(constB15, bitIndex1)),
% 48.18/31.26 inference(unit_resolution,[status(thm)],[2338, 2323])).
% 48.18/31.26 tff(2340,plain,
% 48.18/31.26 (((~![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)))),
% 48.18/31.26 inference(rewrite,[status(thm)],[])).
% 48.18/31.26 tff(2341,plain,
% 48.18/31.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB15, constB16)) | v127(constB15, bitIndex1) | (~v129(constB16, bitIndex1)))),
% 48.18/31.26 inference(quant_inst,[status(thm)],[])).
% 48.18/31.26 tff(2342,plain,
% 48.18/31.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB15, constB16)) | v127(constB15, bitIndex1) | (~v129(constB16, bitIndex1))),
% 48.18/31.26 inference(modus_ponens,[status(thm)],[2341, 2340])).
% 48.18/31.26 tff(2343,plain,
% 48.18/31.26 (v127(constB15, bitIndex1) | (~v129(constB16, bitIndex1))),
% 48.18/31.26 inference(unit_resolution,[status(thm)],[2342, 468, 2241])).
% 48.18/31.26 tff(2344,plain,
% 48.18/31.26 (~v129(constB16, bitIndex1)),
% 48.18/31.26 inference(unit_resolution,[status(thm)],[2343, 2339])).
% 48.18/31.26 tff(2345,plain,
% 48.18/31.26 (((~![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)))),
% 48.18/31.26 inference(rewrite,[status(thm)],[])).
% 48.18/31.26 tff(2346,plain,
% 48.18/31.26 (((~v90(constB16, bitIndex1)) | (~v100(constB16)) | v129(constB16, bitIndex1)) <=> ((~v90(constB16, bitIndex1)) | v129(constB16, bitIndex1) | (~v100(constB16)))),
% 48.18/31.26 inference(rewrite,[status(thm)],[])).
% 48.18/31.26 tff(2347,plain,
% 48.18/31.26 (((~![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))))),
% 48.18/31.26 inference(monotonicity,[status(thm)],[2346])).
% 48.18/31.26 tff(2348,plain,
% 48.18/31.26 (((~![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)))),
% 48.18/31.26 inference(transitivity,[status(thm)],[2347, 2345])).
% 48.18/31.26 tff(2349,plain,
% 48.18/31.26 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB16, bitIndex1)) | (~v100(constB16)) | v129(constB16, bitIndex1))),
% 48.18/31.26 inference(quant_inst,[status(thm)],[])).
% 48.18/31.26 tff(2350,plain,
% 48.18/31.26 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB16, bitIndex1)) | v129(constB16, bitIndex1) | (~v100(constB16))),
% 48.18/31.26 inference(modus_ponens,[status(thm)],[2349, 2348])).
% 48.18/31.26 tff(2351,plain,
% 48.18/31.26 ((~v90(constB16, bitIndex1)) | (~v100(constB16))),
% 48.18/31.26 inference(unit_resolution,[status(thm)],[2350, 483, 2344])).
% 48.18/31.26 tff(2352,plain,
% 48.18/31.26 (~v90(constB16, bitIndex1)),
% 48.18/31.26 inference(unit_resolution,[status(thm)],[2351, 2275])).
% 48.18/31.26 tff(2353,plain,
% 48.18/31.26 ((~v1(constB17)) <=> (~v1(constB17))),
% 48.18/31.26 inference(rewrite,[status(thm)],[])).
% 48.18/31.26 tff(2354,axiom,(~v1(constB17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_17_1_1')).
% 48.18/31.26 tff(2355,plain,
% 48.18/31.26 (~v1(constB17)),
% 48.18/31.26 inference(modus_ponens,[status(thm)],[2354, 2353])).
% 48.18/31.26 tff(2356,plain,
% 48.18/31.26 (nextState(constB16, constB17) <=> nextState(constB16, constB17)),
% 48.18/31.26 inference(rewrite,[status(thm)],[])).
% 48.18/31.26 tff(2357,axiom,(nextState(constB16, constB17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_16_1')).
% 48.18/31.26 tff(2358,plain,
% 48.18/31.26 (nextState(constB16, constB17)),
% 48.18/31.26 inference(modus_ponens,[status(thm)],[2357, 2356])).
% 48.18/31.26 tff(2359,plain,
% 48.18/31.26 (((~![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)))),
% 48.18/31.26 inference(rewrite,[status(thm)],[])).
% 48.18/31.26 tff(2360,plain,
% 48.18/31.26 (((~nextState(constB16, constB17)) | (~v101(constB17)) | v1(constB17)) <=> (v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17)))),
% 48.18/31.26 inference(rewrite,[status(thm)],[])).
% 48.18/31.26 tff(2361,plain,
% 48.18/31.26 (((~![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))))),
% 48.18/31.26 inference(monotonicity,[status(thm)],[2360])).
% 48.18/31.26 tff(2362,plain,
% 48.18/31.26 (((~![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)))),
% 48.18/31.26 inference(transitivity,[status(thm)],[2361, 2359])).
% 48.18/31.26 tff(2363,plain,
% 48.18/31.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB16, constB17)) | (~v101(constB17)) | v1(constB17))),
% 48.18/31.26 inference(quant_inst,[status(thm)],[])).
% 48.18/31.26 tff(2364,plain,
% 48.18/31.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17))),
% 48.18/31.26 inference(modus_ponens,[status(thm)],[2363, 2362])).
% 48.18/31.26 tff(2365,plain,
% 48.18/31.26 (~v101(constB17)),
% 48.18/31.26 inference(unit_resolution,[status(thm)],[2364, 49, 2358, 2355])).
% 48.18/31.26 tff(2366,plain,
% 48.18/31.26 (((~![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)))),
% 48.18/31.26 inference(rewrite,[status(thm)],[])).
% 48.18/31.26 tff(2367,plain,
% 48.18/31.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB16, constB17)) | v101(constB17) | (~v100(constB17)))),
% 48.18/31.26 inference(quant_inst,[status(thm)],[])).
% 48.18/31.26 tff(2368,plain,
% 48.18/31.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB16, constB17)) | v101(constB17) | (~v100(constB17))),
% 48.18/31.26 inference(modus_ponens,[status(thm)],[2367, 2366])).
% 48.18/31.26 tff(2369,plain,
% 48.18/31.26 (v101(constB17) | (~v100(constB17))),
% 48.18/31.26 inference(unit_resolution,[status(thm)],[2368, 66, 2358])).
% 48.18/31.26 tff(2370,plain,
% 48.18/31.26 (~v100(constB17)),
% 48.18/31.26 inference(unit_resolution,[status(thm)],[2369, 2365])).
% 48.18/31.26 tff(2371,plain,
% 48.18/31.26 (((~![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)))),
% 48.18/31.26 inference(rewrite,[status(thm)],[])).
% 48.18/31.26 tff(2372,plain,
% 48.18/31.26 (((~nextState(constB16, constB17)) | v90(constB16, bitIndex1) | v100(constB17) | (~v90(constB17, bitIndex1))) <=> (v90(constB16, bitIndex1) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex1)))),
% 48.18/31.26 inference(rewrite,[status(thm)],[])).
% 48.18/31.26 tff(2373,plain,
% 48.18/31.26 (((~![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))))),
% 48.18/31.26 inference(monotonicity,[status(thm)],[2372])).
% 48.18/31.26 tff(2374,plain,
% 48.18/31.26 (((~![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)))),
% 48.18/31.26 inference(transitivity,[status(thm)],[2373, 2371])).
% 48.18/31.26 tff(2375,plain,
% 48.18/31.26 ((~![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)))),
% 48.18/31.26 inference(quant_inst,[status(thm)],[])).
% 48.18/31.26 tff(2376,plain,
% 48.18/31.26 ((~![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))),
% 48.18/31.26 inference(modus_ponens,[status(thm)],[2375, 2374])).
% 48.18/31.26 tff(2377,plain,
% 48.18/31.26 (v90(constB16, bitIndex1) | v100(constB17) | (~v90(constB17, bitIndex1))),
% 48.18/31.26 inference(unit_resolution,[status(thm)],[2376, 102, 2358])).
% 48.18/31.26 tff(2378,plain,
% 48.18/31.26 (v90(constB16, bitIndex1) | (~v90(constB17, bitIndex1))),
% 48.18/31.26 inference(unit_resolution,[status(thm)],[2377, 2370])).
% 48.18/31.26 tff(2379,plain,
% 48.18/31.26 (~v90(constB17, bitIndex1)),
% 48.18/31.26 inference(unit_resolution,[status(thm)],[2378, 2352])).
% 48.18/31.26 tff(2380,assumption,(v123(constB13)), introduced(assumption)).
% 48.18/31.26 tff(2381,plain,
% 48.18/31.26 (v115(constB13)),
% 48.18/31.26 inference(unit_resolution,[status(thm)],[2038, 595, 2380])).
% 48.18/31.26 tff(2382,plain,
% 48.18/31.27 (v114(constB13)),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2042, 199, 2381])).
% 48.18/31.27 tff(2383,plain,
% 48.18/31.27 (v113(constB13)),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2046, 210, 2382])).
% 48.18/31.27 tff(2384,plain,
% 48.18/31.27 (v112(constB13)),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2058, 2383])).
% 48.18/31.27 tff(2385,plain,
% 48.18/31.27 (v108(constB13)),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2062, 236, 2384])).
% 48.18/31.27 tff(2386,plain,
% 48.18/31.27 (v110(constB14)),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2073, 2385])).
% 48.18/31.27 tff(2387,plain,
% 48.18/31.27 (v100(constB14)),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2099, 2386])).
% 48.18/31.27 tff(2388,plain,
% 48.18/31.27 (v130(constB13, bitIndex2)),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2103, 836, 2380])).
% 48.18/31.27 tff(2389,plain,
% 48.18/31.27 (v127(constB13, bitIndex2)),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2108, 2388])).
% 48.18/31.27 tff(2390,plain,
% 48.18/31.27 (v129(constB14, bitIndex2)),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2113, 2389])).
% 48.18/31.27 tff(2391,plain,
% 48.18/31.27 (v90(constB14, bitIndex2) | (~v100(constB14))),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2120, 381, 2390])).
% 48.18/31.27 tff(2392,plain,
% 48.18/31.27 (v90(constB14, bitIndex2)),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2391, 2387])).
% 48.18/31.27 tff(2393,plain,
% 48.18/31.27 (v90(constB15, bitIndex2)),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2148, 2392])).
% 48.18/31.27 tff(2394,plain,
% 48.18/31.27 (v130(constB13, bitIndex1)),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2152, 667, 2380])).
% 48.18/31.27 tff(2395,plain,
% 48.18/31.27 (v127(constB13, bitIndex1)),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2157, 2394])).
% 48.18/31.27 tff(2396,plain,
% 48.18/31.27 (v129(constB14, bitIndex1)),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2162, 2395])).
% 48.18/31.27 tff(2397,plain,
% 48.18/31.27 (v90(constB14, bitIndex1) | (~v100(constB14))),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2169, 711, 2396])).
% 48.18/31.27 tff(2398,plain,
% 48.18/31.27 (v90(constB14, bitIndex1)),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2397, 2387])).
% 48.18/31.27 tff(2399,plain,
% 48.18/31.27 (v90(constB15, bitIndex1)),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2179, 2398])).
% 48.18/31.27 tff(2400,plain,
% 48.18/31.27 (~v130(constB13, bitIndex0)),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2183, 975, 2380])).
% 48.18/31.27 tff(2401,plain,
% 48.18/31.27 (~v127(constB13, bitIndex0)),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2191, 2400])).
% 48.18/31.27 tff(2402,plain,
% 48.18/31.27 (~v129(constB14, bitIndex0)),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2196, 2401])).
% 48.18/31.27 tff(2403,plain,
% 48.18/31.27 ((~v90(constB14, bitIndex0)) | (~v100(constB14))),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2203, 557, 2402])).
% 48.18/31.27 tff(2404,plain,
% 48.18/31.27 (~v90(constB14, bitIndex0)),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2403, 2387])).
% 48.18/31.27 tff(2405,plain,
% 48.18/31.27 (~v90(constB15, bitIndex0)),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2213, 2404])).
% 48.18/31.27 tff(2406,plain,
% 48.18/31.27 (v125(constB15)),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2217, 1019, 2405, 2399, 2393])).
% 48.18/31.27 tff(2407,plain,
% 48.18/31.27 (v113(constB15)),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2221, 1031, 2406])).
% 48.18/31.27 tff(2408,plain,
% 48.18/31.27 (v112(constB15)),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2233, 2407])).
% 48.18/31.27 tff(2409,plain,
% 48.18/31.27 (v108(constB15)),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2237, 236, 2408])).
% 48.18/31.27 tff(2410,plain,
% 48.18/31.27 (v110(constB16)),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2248, 2409])).
% 48.18/31.27 tff(2411,plain,
% 48.18/31.27 (v100(constB16)),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2274, 2410])).
% 48.18/31.27 tff(2412,plain,
% 48.18/31.27 (~v121(constB15)),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2278, 883, 2393])).
% 48.18/31.27 tff(2413,plain,
% 48.18/31.27 (~v122(constB15)),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2282, 894, 2393])).
% 48.18/31.27 tff(2414,plain,
% 48.18/31.27 (~v119(constB15)),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2296, 2293, 2399])).
% 48.18/31.27 tff(2415,plain,
% 48.18/31.27 (~v120(constB15)),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2315, 2312, 2399])).
% 48.18/31.27 tff(2416,plain,
% 48.18/31.27 (~v123(constB15)),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2300, 774, 2399])).
% 48.18/31.27 tff(2417,plain,
% 48.18/31.27 (~v124(constB15)),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2304, 763, 2399])).
% 48.18/31.27 tff(2418,plain,
% 48.18/31.27 (((~![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))),
% 48.18/31.27 inference(rewrite,[status(thm)],[])).
% 48.18/31.27 tff(2419,plain,
% 48.18/31.27 ((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))),
% 48.18/31.27 inference(rewrite,[status(thm)],[])).
% 48.18/31.27 tff(2420,plain,
% 48.18/31.27 (((~![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)))),
% 48.18/31.27 inference(monotonicity,[status(thm)],[2419])).
% 48.18/31.27 tff(2421,plain,
% 48.18/31.27 (((~![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))),
% 48.18/31.27 inference(transitivity,[status(thm)],[2420, 2418])).
% 48.18/31.27 tff(2422,plain,
% 48.18/31.27 ((~![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)))),
% 48.18/31.27 inference(quant_inst,[status(thm)],[])).
% 48.18/31.27 tff(2423,plain,
% 48.18/31.27 ((~![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)),
% 48.18/31.27 inference(modus_ponens,[status(thm)],[2422, 2421])).
% 48.18/31.27 tff(2424,plain,
% 48.18/31.27 (~v130(constB15, bitIndex2)),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2423, 1192, 2417, 2416, 2415, 2414, 2413, 2412])).
% 48.18/31.27 tff(2425,plain,
% 48.18/31.27 (((~![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))),
% 48.18/31.27 inference(rewrite,[status(thm)],[])).
% 48.18/31.27 tff(2426,plain,
% 48.18/31.27 ((v26(constB15) | v130(constB15, bitIndex2) | (~v127(constB15, bitIndex2))) <=> ((~v127(constB15, bitIndex2)) | v26(constB15) | v130(constB15, bitIndex2))),
% 48.18/31.27 inference(rewrite,[status(thm)],[])).
% 48.18/31.27 tff(2427,plain,
% 48.18/31.27 (((~![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)))),
% 48.18/31.27 inference(monotonicity,[status(thm)],[2426])).
% 48.18/31.27 tff(2428,plain,
% 48.18/31.27 (((~![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))),
% 48.18/31.27 inference(transitivity,[status(thm)],[2427, 2425])).
% 48.18/31.27 tff(2429,plain,
% 48.18/31.27 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB15) | v130(constB15, bitIndex2) | (~v127(constB15, bitIndex2)))),
% 48.18/31.27 inference(quant_inst,[status(thm)],[])).
% 48.18/31.27 tff(2430,plain,
% 48.18/31.27 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB15, bitIndex2)) | v26(constB15) | v130(constB15, bitIndex2)),
% 48.18/31.27 inference(modus_ponens,[status(thm)],[2429, 2428])).
% 48.18/31.27 tff(2431,plain,
% 48.18/31.27 ((~v127(constB15, bitIndex2)) | v130(constB15, bitIndex2)),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2430, 1210, 2226])).
% 48.18/31.27 tff(2432,plain,
% 48.18/31.27 (~v127(constB15, bitIndex2)),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2431, 2424])).
% 48.18/31.27 tff(2433,plain,
% 48.18/31.27 (((~![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)))),
% 48.18/31.27 inference(rewrite,[status(thm)],[])).
% 48.18/31.27 tff(2434,plain,
% 48.18/31.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB15, constB16)) | v127(constB15, bitIndex2) | (~v129(constB16, bitIndex2)))),
% 48.18/31.27 inference(quant_inst,[status(thm)],[])).
% 48.18/31.27 tff(2435,plain,
% 48.18/31.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB15, constB16)) | v127(constB15, bitIndex2) | (~v129(constB16, bitIndex2))),
% 48.18/31.27 inference(modus_ponens,[status(thm)],[2434, 2433])).
% 48.18/31.27 tff(2436,plain,
% 48.18/31.27 (v127(constB15, bitIndex2) | (~v129(constB16, bitIndex2))),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2435, 1243, 2241])).
% 48.18/31.27 tff(2437,plain,
% 48.18/31.27 (~v129(constB16, bitIndex2)),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2436, 2432])).
% 48.18/31.27 tff(2438,plain,
% 48.18/31.27 (((~![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)))),
% 48.18/31.27 inference(rewrite,[status(thm)],[])).
% 48.18/31.27 tff(2439,plain,
% 48.18/31.27 (((~v90(constB16, bitIndex2)) | (~v100(constB16)) | v129(constB16, bitIndex2)) <=> ((~v90(constB16, bitIndex2)) | v129(constB16, bitIndex2) | (~v100(constB16)))),
% 48.18/31.27 inference(rewrite,[status(thm)],[])).
% 48.18/31.27 tff(2440,plain,
% 48.18/31.27 (((~![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))))),
% 48.18/31.27 inference(monotonicity,[status(thm)],[2439])).
% 48.18/31.27 tff(2441,plain,
% 48.18/31.27 (((~![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)))),
% 48.18/31.27 inference(transitivity,[status(thm)],[2440, 2438])).
% 48.18/31.27 tff(2442,plain,
% 48.18/31.27 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB16, bitIndex2)) | (~v100(constB16)) | v129(constB16, bitIndex2))),
% 48.18/31.27 inference(quant_inst,[status(thm)],[])).
% 48.18/31.27 tff(2443,plain,
% 48.18/31.27 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB16, bitIndex2)) | v129(constB16, bitIndex2) | (~v100(constB16))),
% 48.18/31.27 inference(modus_ponens,[status(thm)],[2442, 2441])).
% 48.18/31.27 tff(2444,plain,
% 48.18/31.27 ((~v90(constB16, bitIndex2)) | (~v100(constB16))),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2443, 1258, 2437])).
% 48.18/31.27 tff(2445,plain,
% 48.18/31.27 (~v90(constB16, bitIndex2)),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2444, 2411])).
% 48.18/31.27 tff(2446,plain,
% 48.18/31.27 (((~![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)))),
% 48.18/31.27 inference(rewrite,[status(thm)],[])).
% 48.18/31.27 tff(2447,plain,
% 48.18/31.27 (((~nextState(constB16, constB17)) | v90(constB16, bitIndex2) | v100(constB17) | (~v90(constB17, bitIndex2))) <=> (v90(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex2)))),
% 48.18/31.27 inference(rewrite,[status(thm)],[])).
% 48.18/31.27 tff(2448,plain,
% 48.18/31.27 (((~![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))))),
% 48.18/31.27 inference(monotonicity,[status(thm)],[2447])).
% 48.18/31.27 tff(2449,plain,
% 48.18/31.27 (((~![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)))),
% 48.18/31.27 inference(transitivity,[status(thm)],[2448, 2446])).
% 48.18/31.27 tff(2450,plain,
% 48.18/31.27 ((~![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)))),
% 48.18/31.27 inference(quant_inst,[status(thm)],[])).
% 48.18/31.27 tff(2451,plain,
% 48.18/31.27 ((~![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))),
% 48.18/31.27 inference(modus_ponens,[status(thm)],[2450, 2449])).
% 48.18/31.27 tff(2452,plain,
% 48.18/31.27 (v90(constB16, bitIndex2) | v100(constB17) | (~v90(constB17, bitIndex2))),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2451, 81, 2358])).
% 48.18/31.27 tff(2453,plain,
% 48.18/31.27 (v90(constB16, bitIndex2) | (~v90(constB17, bitIndex2))),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2452, 2370])).
% 48.18/31.27 tff(2454,plain,
% 48.18/31.27 (~v90(constB17, bitIndex2)),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2453, 2445])).
% 48.18/31.27 tff(2455,plain,
% 48.18/31.27 (~v130(constB15, bitIndex1)),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2322, 1143, 2417, 2416, 2415, 2414, 2413, 2412])).
% 48.18/31.27 tff(2456,plain,
% 48.18/31.27 (~v127(constB15, bitIndex1)),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2338, 2455])).
% 48.18/31.27 tff(2457,plain,
% 48.18/31.27 (~v129(constB16, bitIndex1)),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2343, 2456])).
% 48.18/31.27 tff(2458,plain,
% 48.18/31.27 ((~v90(constB16, bitIndex1)) | (~v100(constB16))),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2350, 483, 2457])).
% 48.18/31.27 tff(2459,plain,
% 48.18/31.27 (~v90(constB16, bitIndex1)),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2458, 2411])).
% 48.18/31.27 tff(2460,plain,
% 48.18/31.27 (~v90(constB17, bitIndex1)),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2378, 2459])).
% 48.18/31.27 tff(2461,plain,
% 48.18/31.27 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB15, bitIndex0) | 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, bitIndex0))) | v130(constB15, bitIndex0) | v120(constB15) | v119(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15))),
% 48.18/31.27 inference(rewrite,[status(thm)],[])).
% 48.18/31.27 tff(2462,plain,
% 48.18/31.27 ((v120(constB15) | v119(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | v130(constB15, bitIndex0)) <=> (v130(constB15, bitIndex0) | v120(constB15) | v119(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15))),
% 48.18/31.27 inference(rewrite,[status(thm)],[])).
% 48.18/31.27 tff(2463,plain,
% 48.18/31.27 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB15) | v119(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | v130(constB15, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB15, bitIndex0) | v120(constB15) | v119(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15)))),
% 48.18/31.27 inference(monotonicity,[status(thm)],[2462])).
% 48.18/31.27 tff(2464,plain,
% 48.18/31.27 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB15) | v119(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | v130(constB15, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB15, bitIndex0) | v120(constB15) | v119(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15))),
% 48.18/31.27 inference(transitivity,[status(thm)],[2463, 2461])).
% 48.18/31.27 tff(2465,plain,
% 48.18/31.27 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB15) | v119(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15) | v130(constB15, bitIndex0))),
% 48.18/31.27 inference(quant_inst,[status(thm)],[])).
% 48.18/31.27 tff(2466,plain,
% 48.18/31.27 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB15, bitIndex0) | v120(constB15) | v119(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15)),
% 48.18/31.27 inference(modus_ponens,[status(thm)],[2465, 2464])).
% 48.18/31.27 tff(2467,plain,
% 48.18/31.27 (v130(constB15, bitIndex0)),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2466, 908, 2417, 2416, 2415, 2414, 2413, 2412])).
% 48.18/31.27 tff(2468,plain,
% 48.18/31.27 (((~![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))) | v26(constB15) | (~v130(constB15, bitIndex0)) | v127(constB15, bitIndex0))),
% 48.18/31.27 inference(rewrite,[status(thm)],[])).
% 48.18/31.27 tff(2469,plain,
% 48.18/31.27 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB15) | (~v130(constB15, bitIndex0)) | v127(constB15, bitIndex0))),
% 48.18/31.27 inference(quant_inst,[status(thm)],[])).
% 48.18/31.27 tff(2470,plain,
% 48.18/31.27 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB15) | (~v130(constB15, bitIndex0)) | v127(constB15, bitIndex0)),
% 48.18/31.27 inference(modus_ponens,[status(thm)],[2469, 2468])).
% 48.18/31.27 tff(2471,plain,
% 48.18/31.27 ((~v130(constB15, bitIndex0)) | v127(constB15, bitIndex0)),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2470, 926, 2226])).
% 48.18/31.27 tff(2472,plain,
% 48.18/31.27 (v127(constB15, bitIndex0)),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2471, 2467])).
% 48.18/31.27 tff(2473,plain,
% 48.18/31.27 (((~![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))),
% 48.18/31.27 inference(rewrite,[status(thm)],[])).
% 48.18/31.27 tff(2474,plain,
% 48.18/31.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB15, constB16)) | (~v127(constB15, bitIndex0)) | v129(constB16, bitIndex0))),
% 48.18/31.27 inference(quant_inst,[status(thm)],[])).
% 48.18/31.27 tff(2475,plain,
% 48.18/31.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB15, constB16)) | (~v127(constB15, bitIndex0)) | v129(constB16, bitIndex0)),
% 48.18/31.27 inference(modus_ponens,[status(thm)],[2474, 2473])).
% 48.18/31.27 tff(2476,plain,
% 48.18/31.27 ((~v127(constB15, bitIndex0)) | v129(constB16, bitIndex0)),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2475, 944, 2241])).
% 48.18/31.27 tff(2477,plain,
% 48.18/31.27 (v129(constB16, bitIndex0)),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2476, 2472])).
% 48.18/31.27 tff(2478,plain,
% 48.18/31.27 (((~![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)))),
% 48.18/31.27 inference(rewrite,[status(thm)],[])).
% 48.18/31.27 tff(2479,plain,
% 48.18/31.27 ((v90(constB16, bitIndex0) | (~v100(constB16)) | (~v129(constB16, bitIndex0))) <=> (v90(constB16, bitIndex0) | (~v129(constB16, bitIndex0)) | (~v100(constB16)))),
% 48.18/31.27 inference(rewrite,[status(thm)],[])).
% 48.18/31.27 tff(2480,plain,
% 48.18/31.27 (((~![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))))),
% 48.18/31.27 inference(monotonicity,[status(thm)],[2479])).
% 48.18/31.27 tff(2481,plain,
% 48.18/31.27 (((~![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)))),
% 48.18/31.27 inference(transitivity,[status(thm)],[2480, 2478])).
% 48.18/31.27 tff(2482,plain,
% 48.18/31.27 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB16, bitIndex0) | (~v100(constB16)) | (~v129(constB16, bitIndex0)))),
% 48.18/31.27 inference(quant_inst,[status(thm)],[])).
% 48.18/31.27 tff(2483,plain,
% 48.18/31.27 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB16, bitIndex0) | (~v129(constB16, bitIndex0)) | (~v100(constB16))),
% 48.18/31.27 inference(modus_ponens,[status(thm)],[2482, 2481])).
% 48.18/31.27 tff(2484,plain,
% 48.18/31.27 (v90(constB16, bitIndex0) | (~v100(constB16))),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2483, 1088, 2477])).
% 48.18/31.27 tff(2485,plain,
% 48.18/31.27 (v90(constB16, bitIndex0)),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2484, 2411])).
% 48.18/31.27 tff(2486,plain,
% 48.18/31.27 (((~![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))),
% 48.18/31.27 inference(rewrite,[status(thm)],[])).
% 48.18/31.27 tff(2487,plain,
% 48.18/31.27 (((~nextState(constB16, constB17)) | (~v90(constB16, bitIndex0)) | v100(constB17) | v90(constB17, bitIndex0)) <=> ((~v90(constB16, bitIndex0)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, bitIndex0))),
% 48.18/31.27 inference(rewrite,[status(thm)],[])).
% 48.18/31.27 tff(2488,plain,
% 48.18/31.27 (((~![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)))),
% 48.18/31.27 inference(monotonicity,[status(thm)],[2487])).
% 48.18/31.27 tff(2489,plain,
% 48.18/31.27 (((~![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))),
% 48.18/31.27 inference(transitivity,[status(thm)],[2488, 2486])).
% 48.18/31.27 tff(2490,plain,
% 48.18/31.27 ((~![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))),
% 48.18/31.27 inference(quant_inst,[status(thm)],[])).
% 48.18/31.27 tff(2491,plain,
% 48.18/31.27 ((~![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)),
% 48.18/31.27 inference(modus_ponens,[status(thm)],[2490, 2489])).
% 48.18/31.27 tff(2492,plain,
% 48.18/31.27 ((~v90(constB16, bitIndex0)) | v100(constB17) | v90(constB17, bitIndex0)),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2491, 1124, 2358])).
% 48.18/31.27 tff(2493,plain,
% 48.18/31.27 ((~v90(constB16, bitIndex0)) | v90(constB17, bitIndex0)),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2492, 2370])).
% 48.18/31.27 tff(2494,plain,
% 48.18/31.27 (v90(constB17, bitIndex0)),
% 48.18/31.27 inference(unit_resolution,[status(thm)],[2493, 2485])).
% 48.18/31.27 tff(2495,plain,
% 48.18/31.27 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB17, bitIndex0)) | v90(constB17, bitIndex1) | v90(constB17, bitIndex2) | v120(constB17))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB17, bitIndex0)) | v90(constB17, bitIndex1) | v90(constB17, bitIndex2) | v120(constB17))),
% 48.18/31.27 inference(rewrite,[status(thm)],[])).
% 48.18/31.27 tff(2496,plain,
% 48.18/31.27 (((~v90(constB17, bitIndex0)) | v120(constB17) | v90(constB17, bitIndex1) | v90(constB17, bitIndex2)) <=> ((~v90(constB17, bitIndex0)) | v90(constB17, bitIndex1) | v90(constB17, bitIndex2) | v120(constB17))),
% 48.18/31.27 inference(rewrite,[status(thm)],[])).
% 48.18/31.27 tff(2497,plain,
% 48.18/31.27 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB17, bitIndex0)) | v120(constB17) | v90(constB17, bitIndex1) | v90(constB17, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB17, bitIndex0)) | v90(constB17, bitIndex1) | v90(constB17, bitIndex2) | v120(constB17)))),
% 48.18/31.28 inference(monotonicity,[status(thm)],[2496])).
% 48.18/31.28 tff(2498,plain,
% 48.18/31.28 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB17, bitIndex0)) | v120(constB17) | v90(constB17, bitIndex1) | v90(constB17, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB17, bitIndex0)) | v90(constB17, bitIndex1) | v90(constB17, bitIndex2) | v120(constB17))),
% 48.18/31.28 inference(transitivity,[status(thm)],[2497, 2495])).
% 48.18/31.28 tff(2499,plain,
% 48.18/31.28 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB17, bitIndex0)) | v120(constB17) | v90(constB17, bitIndex1) | v90(constB17, bitIndex2))),
% 48.18/31.28 inference(quant_inst,[status(thm)],[])).
% 48.18/31.28 tff(2500,plain,
% 48.18/31.28 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB17, bitIndex0)) | v90(constB17, bitIndex1) | v90(constB17, bitIndex2) | v120(constB17)),
% 48.18/31.28 inference(modus_ponens,[status(thm)],[2499, 2498])).
% 48.18/31.28 tff(2501,plain,
% 48.18/31.28 (v120(constB17)),
% 48.18/31.28 inference(unit_resolution,[status(thm)],[2500, 1285, 2494, 2460, 2454])).
% 48.18/31.28 tff(2502,assumption,(v90(constB18, bitIndex2)), introduced(assumption)).
% 48.18/31.28 tff(2503,plain,
% 48.18/31.28 (nextState(constB17, constB18) <=> nextState(constB17, constB18)),
% 48.18/31.28 inference(rewrite,[status(thm)],[])).
% 48.18/31.28 tff(2504,axiom,(nextState(constB17, constB18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_17_1')).
% 48.18/31.28 tff(2505,plain,
% 48.18/31.28 (nextState(constB17, constB18)),
% 48.18/31.28 inference(modus_ponens,[status(thm)],[2504, 2503])).
% 48.18/31.28 tff(2506,plain,
% 48.18/31.28 (((~![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)))),
% 48.18/31.28 inference(rewrite,[status(thm)],[])).
% 48.18/31.28 tff(2507,plain,
% 48.18/31.28 (((~nextState(constB17, constB18)) | v90(constB17, bitIndex2) | v100(constB18) | (~v90(constB18, bitIndex2))) <=> (v90(constB17, bitIndex2) | (~nextState(constB17, constB18)) | v100(constB18) | (~v90(constB18, bitIndex2)))),
% 48.18/31.28 inference(rewrite,[status(thm)],[])).
% 48.18/31.28 tff(2508,plain,
% 48.18/31.28 (((~![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))))),
% 48.18/31.28 inference(monotonicity,[status(thm)],[2507])).
% 48.18/31.28 tff(2509,plain,
% 48.18/31.28 (((~![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)))),
% 48.18/31.28 inference(transitivity,[status(thm)],[2508, 2506])).
% 48.18/31.28 tff(2510,plain,
% 48.18/31.28 ((~![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)))),
% 48.18/31.28 inference(quant_inst,[status(thm)],[])).
% 48.18/31.28 tff(2511,plain,
% 48.18/31.28 ((~![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))),
% 48.18/31.28 inference(modus_ponens,[status(thm)],[2510, 2509])).
% 48.18/31.28 tff(2512,plain,
% 48.18/31.28 (v90(constB17, bitIndex2) | v100(constB18) | (~v90(constB18, bitIndex2))),
% 48.18/31.28 inference(unit_resolution,[status(thm)],[2511, 81, 2505])).
% 48.18/31.28 tff(2513,plain,
% 48.18/31.28 (v100(constB18)),
% 48.18/31.28 inference(unit_resolution,[status(thm)],[2512, 2454, 2502])).
% 48.18/31.28 tff(2514,plain,
% 48.18/31.28 (((~![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)))),
% 48.18/31.28 inference(rewrite,[status(thm)],[])).
% 48.18/31.28 tff(2515,plain,
% 48.18/31.28 (((~v90(constB18, bitIndex2)) | (~v100(constB18)) | v129(constB18, bitIndex2)) <=> ((~v90(constB18, bitIndex2)) | v129(constB18, bitIndex2) | (~v100(constB18)))),
% 48.18/31.28 inference(rewrite,[status(thm)],[])).
% 48.18/31.28 tff(2516,plain,
% 48.18/31.28 (((~![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))))),
% 48.18/31.28 inference(monotonicity,[status(thm)],[2515])).
% 48.18/31.28 tff(2517,plain,
% 48.18/31.28 (((~![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)))),
% 48.18/31.28 inference(transitivity,[status(thm)],[2516, 2514])).
% 48.18/31.28 tff(2518,plain,
% 48.18/31.28 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB18, bitIndex2)) | (~v100(constB18)) | v129(constB18, bitIndex2))),
% 48.18/31.28 inference(quant_inst,[status(thm)],[])).
% 48.18/31.28 tff(2519,plain,
% 48.18/31.28 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB18, bitIndex2)) | v129(constB18, bitIndex2) | (~v100(constB18))),
% 48.18/31.28 inference(modus_ponens,[status(thm)],[2518, 2517])).
% 48.18/31.28 tff(2520,plain,
% 48.18/31.28 (v129(constB18, bitIndex2) | (~v100(constB18))),
% 48.18/31.28 inference(unit_resolution,[status(thm)],[2519, 1258, 2502])).
% 48.18/31.28 tff(2521,plain,
% 48.18/31.28 (v129(constB18, bitIndex2)),
% 48.18/31.28 inference(unit_resolution,[status(thm)],[2520, 2513])).
% 48.18/31.28 tff(2522,plain,
% 48.18/31.28 (((~![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)))),
% 48.18/31.28 inference(rewrite,[status(thm)],[])).
% 48.18/31.28 tff(2523,plain,
% 48.18/31.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB17, constB18)) | v127(constB17, bitIndex2) | (~v129(constB18, bitIndex2)))),
% 48.18/31.28 inference(quant_inst,[status(thm)],[])).
% 48.18/31.28 tff(2524,plain,
% 48.18/31.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB17, constB18)) | v127(constB17, bitIndex2) | (~v129(constB18, bitIndex2))),
% 48.18/31.28 inference(modus_ponens,[status(thm)],[2523, 2522])).
% 48.18/31.28 tff(2525,plain,
% 48.18/31.28 (v127(constB17, bitIndex2) | (~v129(constB18, bitIndex2))),
% 48.18/31.28 inference(unit_resolution,[status(thm)],[2524, 1243, 2505])).
% 48.18/31.28 tff(2526,plain,
% 48.18/31.28 (v127(constB17, bitIndex2)),
% 48.18/31.28 inference(unit_resolution,[status(thm)],[2525, 2521])).
% 48.18/31.28 tff(2527,assumption,(v26(constB17)), introduced(assumption)).
% 48.18/31.28 tff(2528,plain,
% 48.18/31.28 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB17))),
% 48.18/31.28 inference(quant_inst,[status(thm)],[])).
% 48.18/31.28 tff(2529,plain,
% 48.18/31.28 ($false),
% 48.18/31.28 inference(unit_resolution,[status(thm)],[2528, 16, 2527])).
% 48.18/31.28 tff(2530,plain,(~v26(constB17)), inference(lemma,lemma(discharge,[]))).
% 48.18/31.28 tff(2531,plain,
% 48.18/31.28 (((~![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))),
% 48.18/31.28 inference(rewrite,[status(thm)],[])).
% 48.18/31.28 tff(2532,plain,
% 48.18/31.28 ((v26(constB17) | v130(constB17, bitIndex2) | (~v127(constB17, bitIndex2))) <=> ((~v127(constB17, bitIndex2)) | v26(constB17) | v130(constB17, bitIndex2))),
% 48.18/31.28 inference(rewrite,[status(thm)],[])).
% 48.18/31.28 tff(2533,plain,
% 48.18/31.28 (((~![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)))),
% 48.18/31.28 inference(monotonicity,[status(thm)],[2532])).
% 48.18/31.28 tff(2534,plain,
% 48.18/31.28 (((~![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))),
% 48.18/31.28 inference(transitivity,[status(thm)],[2533, 2531])).
% 48.18/31.28 tff(2535,plain,
% 48.18/31.28 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB17) | v130(constB17, bitIndex2) | (~v127(constB17, bitIndex2)))),
% 48.18/31.28 inference(quant_inst,[status(thm)],[])).
% 48.18/31.28 tff(2536,plain,
% 48.18/31.28 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB17, bitIndex2)) | v26(constB17) | v130(constB17, bitIndex2)),
% 48.18/31.28 inference(modus_ponens,[status(thm)],[2535, 2534])).
% 48.18/31.28 tff(2537,plain,
% 48.18/31.28 ((~v127(constB17, bitIndex2)) | v130(constB17, bitIndex2)),
% 48.18/31.28 inference(unit_resolution,[status(thm)],[2536, 1210, 2530])).
% 48.18/31.28 tff(2538,plain,
% 48.18/31.28 (v130(constB17, bitIndex2)),
% 48.18/31.28 inference(unit_resolution,[status(thm)],[2537, 2526])).
% 48.18/31.28 tff(2539,plain,
% 48.18/31.28 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB17)) | (~v130(constB17, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB17)) | (~v130(constB17, bitIndex2)))),
% 48.18/31.28 inference(rewrite,[status(thm)],[])).
% 48.18/31.28 tff(2540,plain,
% 48.18/31.28 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB17)) | (~v130(constB17, bitIndex2)))),
% 48.18/31.28 inference(quant_inst,[status(thm)],[])).
% 48.18/31.28 tff(2541,plain,
% 48.18/31.28 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB17)) | (~v130(constB17, bitIndex2))),
% 48.18/31.28 inference(modus_ponens,[status(thm)],[2540, 2539])).
% 48.18/31.28 tff(2542,plain,
% 48.18/31.28 ($false),
% 48.18/31.28 inference(unit_resolution,[status(thm)],[2541, 1383, 2538, 2501])).
% 48.18/31.28 tff(2543,plain,((~v123(constB13)) | (~v90(constB18, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 48.18/31.28 tff(2544,plain,
% 48.18/31.28 (~v90(constB18, bitIndex2)),
% 48.18/31.28 inference(unit_resolution,[status(thm)],[2543, 2035])).
% 48.18/31.28 tff(2545,assumption,(~v100(constB18)), introduced(assumption)).
% 48.18/31.28 tff(2546,plain,
% 48.18/31.28 (((~![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)))),
% 48.18/31.28 inference(rewrite,[status(thm)],[])).
% 48.18/31.28 tff(2547,plain,
% 48.18/31.28 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB17) | (~nextState(constB17, constB18)) | (~v104(constB18)))),
% 48.18/31.28 inference(quant_inst,[status(thm)],[])).
% 48.18/31.28 tff(2548,plain,
% 48.18/31.28 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB17) | (~nextState(constB17, constB18)) | (~v104(constB18))),
% 48.18/31.28 inference(modus_ponens,[status(thm)],[2547, 2546])).
% 48.18/31.28 tff(2549,plain,
% 48.18/31.28 (~v104(constB18)),
% 48.18/31.28 inference(unit_resolution,[status(thm)],[2548, 271, 2505, 2355])).
% 48.18/31.28 tff(2550,plain,
% 48.18/31.28 (((~![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))),
% 48.18/31.28 inference(rewrite,[status(thm)],[])).
% 48.18/31.28 tff(2551,plain,
% 48.18/31.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB17, constB18)) | v102(constB18) | v104(constB18))),
% 48.18/31.28 inference(quant_inst,[status(thm)],[])).
% 48.18/31.28 tff(2552,plain,
% 48.18/31.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB17, constB18)) | v102(constB18) | v104(constB18)),
% 48.18/31.28 inference(modus_ponens,[status(thm)],[2551, 2550])).
% 48.18/31.28 tff(2553,plain,
% 48.18/31.28 (v102(constB18) | v104(constB18)),
% 48.18/31.28 inference(unit_resolution,[status(thm)],[2552, 285, 2505])).
% 48.18/31.28 tff(2554,plain,
% 48.18/31.28 (v102(constB18)),
% 48.18/31.28 inference(unit_resolution,[status(thm)],[2553, 2549])).
% 48.18/31.28 tff(2555,plain,
% 48.18/31.28 (v1(constB18) <=> v1(constB18)),
% 48.18/31.28 inference(rewrite,[status(thm)],[])).
% 48.18/31.28 tff(2556,axiom,(v1(constB18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_18_1')).
% 48.18/31.28 tff(2557,plain,
% 48.18/31.28 (v1(constB18)),
% 48.18/31.28 inference(modus_ponens,[status(thm)],[2556, 2555])).
% 48.18/31.28 tff(2558,plain,
% 48.18/31.28 (((~![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)))),
% 48.18/31.28 inference(rewrite,[status(thm)],[])).
% 48.18/31.28 tff(2559,plain,
% 48.18/31.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB17, constB18)) | v101(constB18) | (~v102(constB18)) | (~v1(constB18)))),
% 48.18/31.28 inference(quant_inst,[status(thm)],[])).
% 48.18/31.28 tff(2560,plain,
% 48.18/31.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB17, constB18)) | v101(constB18) | (~v102(constB18)) | (~v1(constB18))),
% 48.18/31.28 inference(modus_ponens,[status(thm)],[2559, 2558])).
% 48.18/31.28 tff(2561,plain,
% 48.18/31.28 (v101(constB18) | (~v102(constB18))),
% 48.18/31.28 inference(unit_resolution,[status(thm)],[2560, 303, 2505, 2557])).
% 48.18/31.28 tff(2562,plain,
% 48.18/31.28 (v101(constB18)),
% 48.18/31.28 inference(unit_resolution,[status(thm)],[2561, 2554])).
% 48.18/31.28 tff(2563,plain,
% 48.18/31.28 (((~![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)))),
% 48.18/31.28 inference(rewrite,[status(thm)],[])).
% 48.18/31.28 tff(2564,plain,
% 48.18/31.28 (((~nextState(constB17, constB18)) | (~v101(constB18)) | (~v110(constB18)) | v100(constB18)) <=> ((~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18)))),
% 48.18/31.28 inference(rewrite,[status(thm)],[])).
% 48.18/31.28 tff(2565,plain,
% 48.18/31.28 (((~![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))))),
% 48.18/31.28 inference(monotonicity,[status(thm)],[2564])).
% 48.18/31.28 tff(2566,plain,
% 48.18/31.28 (((~![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)))),
% 48.18/31.28 inference(transitivity,[status(thm)],[2565, 2563])).
% 48.18/31.28 tff(2567,plain,
% 48.18/31.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB17, constB18)) | (~v101(constB18)) | (~v110(constB18)) | v100(constB18))),
% 48.18/31.28 inference(quant_inst,[status(thm)],[])).
% 48.18/31.28 tff(2568,plain,
% 48.18/31.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18))),
% 48.18/31.28 inference(modus_ponens,[status(thm)],[2567, 2566])).
% 48.18/31.28 tff(2569,plain,
% 48.18/31.28 (v100(constB18) | (~v101(constB18)) | (~v110(constB18))),
% 48.18/31.28 inference(unit_resolution,[status(thm)],[2568, 318, 2505])).
% 48.18/31.28 tff(2570,plain,
% 48.18/31.28 (v100(constB18) | (~v110(constB18))),
% 48.18/31.28 inference(unit_resolution,[status(thm)],[2569, 2562])).
% 48.18/31.28 tff(2571,plain,
% 48.18/31.28 (~v110(constB18)),
% 48.18/31.28 inference(unit_resolution,[status(thm)],[2570, 2545])).
% 48.18/31.28 tff(2572,plain,
% 48.18/31.28 (((~![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)))),
% 48.18/31.28 inference(rewrite,[status(thm)],[])).
% 48.18/31.28 tff(2573,plain,
% 48.18/31.28 (((~nextState(constB17, constB18)) | (~v108(constB17)) | v110(constB18)) <=> ((~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17)))),
% 48.18/31.28 inference(rewrite,[status(thm)],[])).
% 48.18/31.28 tff(2574,plain,
% 48.18/31.28 (((~![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))))),
% 48.18/31.28 inference(monotonicity,[status(thm)],[2573])).
% 48.18/31.28 tff(2575,plain,
% 48.18/31.28 (((~![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)))),
% 48.18/31.28 inference(transitivity,[status(thm)],[2574, 2572])).
% 48.18/31.28 tff(2576,plain,
% 48.18/31.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB17, constB18)) | (~v108(constB17)) | v110(constB18))),
% 48.18/31.28 inference(quant_inst,[status(thm)],[])).
% 48.18/31.28 tff(2577,plain,
% 48.18/31.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17))),
% 48.18/31.28 inference(modus_ponens,[status(thm)],[2576, 2575])).
% 48.18/31.28 tff(2578,plain,
% 48.18/31.28 (v110(constB18) | (~v108(constB17))),
% 48.18/31.28 inference(unit_resolution,[status(thm)],[2577, 253, 2505])).
% 48.18/31.28 tff(2579,plain,
% 48.18/31.28 (~v108(constB17)),
% 48.18/31.28 inference(unit_resolution,[status(thm)],[2578, 2571])).
% 48.18/31.28 tff(2580,plain,
% 48.18/31.28 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB17) | (~v112(constB17)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB17) | (~v112(constB17)))),
% 48.18/31.28 inference(rewrite,[status(thm)],[])).
% 48.18/31.28 tff(2581,plain,
% 48.18/31.28 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB17) | (~v112(constB17)))),
% 48.18/31.28 inference(quant_inst,[status(thm)],[])).
% 48.18/31.28 tff(2582,plain,
% 48.18/31.28 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB17) | (~v112(constB17))),
% 48.18/31.28 inference(modus_ponens,[status(thm)],[2581, 2580])).
% 48.18/31.28 tff(2583,plain,
% 48.18/31.28 (~v112(constB17)),
% 48.18/31.28 inference(unit_resolution,[status(thm)],[2582, 236, 2579])).
% 48.18/31.28 tff(2584,plain,
% 48.18/31.28 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB17) | (~v113(constB17)) | v112(constB17))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB17) | (~v113(constB17)) | v112(constB17))),
% 48.18/31.28 inference(rewrite,[status(thm)],[])).
% 48.18/31.28 tff(2585,plain,
% 48.18/31.28 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB17) | (~v113(constB17)) | v112(constB17))),
% 48.18/31.28 inference(quant_inst,[status(thm)],[])).
% 48.18/31.28 tff(2586,plain,
% 48.18/31.28 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB17) | (~v113(constB17)) | v112(constB17)),
% 48.18/31.28 inference(modus_ponens,[status(thm)],[2585, 2584])).
% 48.18/31.28 tff(2587,plain,
% 48.18/31.28 ((~v113(constB17)) | v112(constB17)),
% 48.18/31.28 inference(unit_resolution,[status(thm)],[2586, 224, 2530])).
% 48.18/31.28 tff(2588,plain,
% 48.18/31.28 (~v113(constB17)),
% 48.18/31.28 inference(unit_resolution,[status(thm)],[2587, 2583])).
% 48.18/31.28 tff(2589,plain,
% 48.18/31.28 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB17) | (~v114(constB17)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB17) | (~v114(constB17)))),
% 48.18/31.28 inference(rewrite,[status(thm)],[])).
% 48.18/31.28 tff(2590,plain,
% 48.18/31.28 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB17) | (~v114(constB17)))),
% 48.18/31.28 inference(quant_inst,[status(thm)],[])).
% 48.18/31.28 tff(2591,plain,
% 48.18/31.28 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB17) | (~v114(constB17))),
% 48.18/31.28 inference(modus_ponens,[status(thm)],[2590, 2589])).
% 48.18/31.28 tff(2592,plain,
% 48.18/31.28 (~v114(constB17)),
% 48.18/31.28 inference(unit_resolution,[status(thm)],[2591, 210, 2588])).
% 48.18/31.28 tff(2593,plain,
% 48.18/31.28 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB17) | (~v115(constB17)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB17) | (~v115(constB17)))),
% 48.18/31.28 inference(rewrite,[status(thm)],[])).
% 48.18/31.28 tff(2594,plain,
% 48.18/31.28 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB17) | (~v115(constB17)))),
% 48.18/31.28 inference(quant_inst,[status(thm)],[])).
% 48.18/31.28 tff(2595,plain,
% 48.18/31.28 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB17) | (~v115(constB17))),
% 48.18/31.28 inference(modus_ponens,[status(thm)],[2594, 2593])).
% 48.18/31.28 tff(2596,plain,
% 48.18/31.28 (~v115(constB17)),
% 48.18/31.28 inference(unit_resolution,[status(thm)],[2595, 199, 2592])).
% 48.18/31.28 tff(2597,plain,
% 48.18/31.28 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB17) | (~v116(constB17)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB17) | (~v116(constB17)))),
% 48.18/31.28 inference(rewrite,[status(thm)],[])).
% 48.18/31.28 tff(2598,plain,
% 48.18/31.28 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB17) | (~v116(constB17)))),
% 48.18/31.28 inference(quant_inst,[status(thm)],[])).
% 48.18/31.28 tff(2599,plain,
% 48.18/31.28 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB17) | (~v116(constB17))),
% 48.18/31.28 inference(modus_ponens,[status(thm)],[2598, 2597])).
% 48.18/31.28 tff(2600,plain,
% 48.18/31.28 (~v116(constB17)),
% 48.18/31.28 inference(unit_resolution,[status(thm)],[2599, 188, 2596])).
% 48.18/31.28 tff(2601,plain,
% 48.18/31.28 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB17) | (~v122(constB17)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB17) | (~v122(constB17)))),
% 48.18/31.28 inference(rewrite,[status(thm)],[])).
% 48.18/31.28 tff(2602,plain,
% 48.18/31.28 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB17) | (~v122(constB17)))),
% 48.18/31.28 inference(quant_inst,[status(thm)],[])).
% 48.18/31.28 tff(2603,plain,
% 48.18/31.28 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB17) | (~v122(constB17))),
% 48.18/31.28 inference(modus_ponens,[status(thm)],[2602, 2601])).
% 48.18/31.28 tff(2604,plain,
% 48.18/31.28 (~v122(constB17)),
% 48.18/31.28 inference(unit_resolution,[status(thm)],[2603, 1800, 2600])).
% 48.18/31.28 tff(2605,plain,
% 48.18/31.28 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB17) | (~v117(constB17)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB17) | (~v117(constB17)))),
% 48.18/31.28 inference(rewrite,[status(thm)],[])).
% 48.18/31.28 tff(2606,plain,
% 48.18/31.28 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB17) | (~v117(constB17)))),
% 48.18/31.28 inference(quant_inst,[status(thm)],[])).
% 48.18/31.28 tff(2607,plain,
% 48.18/31.28 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB17) | (~v117(constB17))),
% 48.18/31.28 inference(modus_ponens,[status(thm)],[2606, 2605])).
% 48.18/31.28 tff(2608,plain,
% 48.18/31.28 (~v117(constB17)),
% 48.18/31.28 inference(unit_resolution,[status(thm)],[2607, 177, 2600])).
% 48.18/31.28 tff(2609,plain,
% 48.18/31.28 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB17) | (~v121(constB17)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB17) | (~v121(constB17)))),
% 48.18/31.28 inference(rewrite,[status(thm)],[])).
% 48.18/31.28 tff(2610,plain,
% 48.18/31.28 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB17) | (~v121(constB17)))),
% 48.18/31.28 inference(quant_inst,[status(thm)],[])).
% 48.18/31.28 tff(2611,plain,
% 48.18/31.28 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB17) | (~v121(constB17))),
% 48.18/31.28 inference(modus_ponens,[status(thm)],[2610, 2609])).
% 48.18/31.28 tff(2612,plain,
% 48.18/31.28 (~v121(constB17)),
% 48.18/31.28 inference(unit_resolution,[status(thm)],[2611, 1562, 2608])).
% 48.18/31.28 tff(2613,plain,
% 48.18/31.28 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB17) | (~v118(constB17)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB17) | (~v118(constB17)))),
% 48.18/31.28 inference(rewrite,[status(thm)],[])).
% 48.18/31.28 tff(2614,plain,
% 48.18/31.28 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB17) | (~v118(constB17)))),
% 48.18/31.28 inference(quant_inst,[status(thm)],[])).
% 48.18/31.28 tff(2615,plain,
% 48.18/31.28 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB17) | (~v118(constB17))),
% 48.18/31.28 inference(modus_ponens,[status(thm)],[2614, 2613])).
% 48.18/31.28 tff(2616,plain,
% 48.18/31.28 (~v118(constB17)),
% 48.18/31.28 inference(unit_resolution,[status(thm)],[2615, 166, 2608])).
% 48.18/31.28 tff(2617,plain,
% 48.18/31.28 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB17) | (~v120(constB17)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB17) | (~v120(constB17)))),
% 48.18/31.28 inference(rewrite,[status(thm)],[])).
% 48.18/31.28 tff(2618,plain,
% 48.18/31.28 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB17) | (~v120(constB17)))),
% 48.18/31.28 inference(quant_inst,[status(thm)],[])).
% 48.18/31.28 tff(2619,plain,
% 48.18/31.28 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB17) | (~v120(constB17))),
% 48.18/31.28 inference(modus_ponens,[status(thm)],[2618, 2617])).
% 48.18/31.28 tff(2620,plain,
% 48.18/31.28 (~v120(constB17)),
% 48.18/31.28 inference(unit_resolution,[status(thm)],[2619, 1302, 2616])).
% 48.18/31.28 tff(2621,plain,
% 48.18/31.28 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB17) | (~v119(constB17)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB17) | (~v119(constB17)))),
% 48.18/31.28 inference(rewrite,[status(thm)],[])).
% 48.18/31.28 tff(2622,plain,
% 48.18/31.28 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB17) | (~v119(constB17)))),
% 48.18/31.28 inference(quant_inst,[status(thm)],[])).
% 48.18/31.28 tff(2623,plain,
% 48.18/31.28 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB17) | (~v119(constB17))),
% 48.18/31.28 inference(modus_ponens,[status(thm)],[2622, 2621])).
% 48.18/31.28 tff(2624,plain,
% 48.18/31.28 (~v119(constB17)),
% 48.18/31.28 inference(unit_resolution,[status(thm)],[2623, 155, 2616])).
% 48.18/31.28 tff(2625,plain,
% 48.18/31.28 (^[VarCurr: $i] : refl((v114(VarCurr) | (~v124(VarCurr))) <=> (v114(VarCurr) | (~v124(VarCurr))))),
% 48.18/31.28 inference(bind,[status(th)],[])).
% 48.18/31.28 tff(2626,plain,
% 48.18/31.28 (![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr))) <=> ![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))),
% 48.18/31.28 inference(quant_intro,[status(thm)],[2625])).
% 48.18/31.28 tff(2627,plain,
% 48.18/31.28 (![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr))) <=> ![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))),
% 48.18/31.28 inference(rewrite,[status(thm)],[])).
% 48.18/31.28 tff(2628,axiom,(![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_23_1_1')).
% 48.18/31.28 tff(2629,plain,
% 48.18/31.28 (![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))),
% 48.18/31.28 inference(modus_ponens,[status(thm)],[2628, 2627])).
% 48.18/31.28 tff(2630,plain,(
% 48.18/31.28 ![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))),
% 48.18/31.28 inference(skolemize,[status(sab)],[2629])).
% 48.18/31.28 tff(2631,plain,
% 48.18/31.28 (![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))),
% 48.18/31.28 inference(modus_ponens,[status(thm)],[2630, 2626])).
% 48.18/31.28 tff(2632,plain,
% 48.18/31.28 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB17) | (~v124(constB17)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB17) | (~v124(constB17)))),
% 48.18/31.28 inference(rewrite,[status(thm)],[])).
% 48.18/31.28 tff(2633,plain,
% 48.18/31.28 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB17) | (~v124(constB17)))),
% 48.18/31.28 inference(quant_inst,[status(thm)],[])).
% 48.18/31.28 tff(2634,plain,
% 48.18/31.28 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB17) | (~v124(constB17))),
% 48.18/31.28 inference(modus_ponens,[status(thm)],[2633, 2632])).
% 48.18/31.28 tff(2635,plain,
% 48.18/31.28 (~v124(constB17)),
% 48.18/31.28 inference(unit_resolution,[status(thm)],[2634, 2631, 2592])).
% 48.18/31.28 tff(2636,plain,
% 48.18/31.28 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB17) | (~v123(constB17)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB17) | (~v123(constB17)))),
% 48.18/31.28 inference(rewrite,[status(thm)],[])).
% 48.18/31.28 tff(2637,plain,
% 48.18/31.28 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB17) | (~v123(constB17)))),
% 48.18/31.28 inference(quant_inst,[status(thm)],[])).
% 48.18/31.28 tff(2638,plain,
% 48.18/31.28 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB17) | (~v123(constB17))),
% 48.18/31.28 inference(modus_ponens,[status(thm)],[2637, 2636])).
% 48.18/31.28 tff(2639,plain,
% 48.18/31.28 (~v123(constB17)),
% 48.18/31.28 inference(unit_resolution,[status(thm)],[2638, 595, 2596])).
% 48.18/31.28 tff(2640,assumption,(~v90(constB17, bitIndex1)), introduced(assumption)).
% 48.18/31.28 tff(2641,assumption,(~v120(constB17)), introduced(assumption)).
% 48.18/31.28 tff(2642,assumption,(~v119(constB17)), introduced(assumption)).
% 48.18/31.28 tff(2643,assumption,(~v90(constB17, bitIndex2)), introduced(assumption)).
% 48.18/31.28 tff(2644,plain,
% 48.18/31.28 ((~v90(constB17, bitIndex0)) | v90(constB17, bitIndex1) | v90(constB17, bitIndex2)),
% 48.18/31.28 inference(unit_resolution,[status(thm)],[2500, 1285, 2641])).
% 48.18/31.28 tff(2645,plain,
% 48.18/31.28 (~v90(constB17, bitIndex0)),
% 48.18/31.28 inference(unit_resolution,[status(thm)],[2644, 2643, 2640])).
% 48.18/31.28 tff(2646,plain,
% 48.18/31.28 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB17) | v90(constB17, bitIndex0) | v90(constB17, bitIndex1) | v90(constB17, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB17) | v90(constB17, bitIndex0) | v90(constB17, bitIndex1) | v90(constB17, bitIndex2))),
% 48.18/31.28 inference(rewrite,[status(thm)],[])).
% 48.18/31.28 tff(2647,plain,
% 48.18/31.28 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB17) | v90(constB17, bitIndex0) | v90(constB17, bitIndex1) | v90(constB17, bitIndex2))),
% 48.18/31.28 inference(quant_inst,[status(thm)],[])).
% 48.18/31.28 tff(2648,plain,
% 48.18/31.28 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB17) | v90(constB17, bitIndex0) | v90(constB17, bitIndex1) | v90(constB17, bitIndex2)),
% 48.18/31.28 inference(modus_ponens,[status(thm)],[2647, 2646])).
% 48.18/31.28 tff(2649,plain,
% 48.18/31.28 (v90(constB17, bitIndex0) | v90(constB17, bitIndex1) | v90(constB17, bitIndex2)),
% 48.18/31.28 inference(unit_resolution,[status(thm)],[2648, 144, 2642])).
% 48.18/31.28 tff(2650,plain,
% 48.18/31.28 ($false),
% 48.18/31.28 inference(unit_resolution,[status(thm)],[2649, 2645, 2643, 2640])).
% 48.18/31.28 tff(2651,plain,(v90(constB17, bitIndex2) | v90(constB17, bitIndex1) | v119(constB17) | v120(constB17)), inference(lemma,lemma(discharge,[]))).
% 48.18/31.28 tff(2652,plain,
% 48.18/31.28 (v90(constB17, bitIndex2)),
% 48.18/31.28 inference(unit_resolution,[status(thm)],[2651, 2640, 2642, 2641])).
% 48.18/31.28 tff(2653,assumption,(~v124(constB17)), introduced(assumption)).
% 48.18/31.28 tff(2654,plain,
% 48.18/31.28 (^[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)))),
% 48.18/31.28 inference(bind,[status(th)],[])).
% 48.18/31.28 tff(2655,plain,
% 48.18/31.28 (![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))),
% 48.18/31.28 inference(quant_intro,[status(thm)],[2654])).
% 48.18/31.28 tff(2656,plain,
% 48.18/31.28 (![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))),
% 48.18/31.28 inference(rewrite,[status(thm)],[])).
% 48.18/31.28 tff(2657,plain,
% 48.18/31.28 (^[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))))),
% 48.18/31.28 inference(bind,[status(th)],[])).
% 48.18/31.28 tff(2658,plain,
% 48.18/31.28 (![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))),
% 48.18/31.28 inference(quant_intro,[status(thm)],[2657])).
% 48.18/31.28 tff(2659,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')).
% 48.18/31.28 tff(2660,plain,
% 48.18/31.28 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 48.18/31.28 inference(modus_ponens,[status(thm)],[2659, 2658])).
% 48.18/31.28 tff(2661,plain,
% 48.18/31.28 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 48.18/31.28 inference(modus_ponens,[status(thm)],[2660, 2656])).
% 48.18/31.28 tff(2662,plain,(
% 48.18/31.28 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 48.18/31.28 inference(skolemize,[status(sab)],[2661])).
% 48.18/31.28 tff(2663,plain,
% 48.18/31.28 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))),
% 48.18/31.28 inference(modus_ponens,[status(thm)],[2662, 2655])).
% 48.18/31.28 tff(2664,plain,
% 48.18/31.28 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB17, bitIndex0)) | v90(constB17, bitIndex1) | (~v90(constB17, bitIndex2)) | v124(constB17))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB17, bitIndex0)) | v90(constB17, bitIndex1) | (~v90(constB17, bitIndex2)) | v124(constB17))),
% 48.18/31.28 inference(rewrite,[status(thm)],[])).
% 48.18/31.28 tff(2665,plain,
% 48.18/31.28 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB17, bitIndex0)) | v90(constB17, bitIndex1) | (~v90(constB17, bitIndex2)) | v124(constB17))),
% 48.18/31.29 inference(quant_inst,[status(thm)],[])).
% 48.18/31.29 tff(2666,plain,
% 48.18/31.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB17, bitIndex0)) | v90(constB17, bitIndex1) | (~v90(constB17, bitIndex2)) | v124(constB17)),
% 48.18/31.29 inference(modus_ponens,[status(thm)],[2665, 2664])).
% 48.18/31.29 tff(2667,plain,
% 48.18/31.29 ((~v90(constB17, bitIndex0)) | v90(constB17, bitIndex1) | (~v90(constB17, bitIndex2))),
% 48.18/31.29 inference(unit_resolution,[status(thm)],[2666, 2663, 2653])).
% 48.18/31.29 tff(2668,plain,
% 48.18/31.29 (~v90(constB17, bitIndex0)),
% 48.18/31.29 inference(unit_resolution,[status(thm)],[2667, 2652, 2640])).
% 48.18/31.29 tff(2669,assumption,(~v123(constB17)), introduced(assumption)).
% 48.18/31.29 tff(2670,plain,
% 48.18/31.29 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB17, bitIndex0) | v90(constB17, bitIndex1) | (~v90(constB17, bitIndex2)) | v123(constB17))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB17, bitIndex0) | v90(constB17, bitIndex1) | (~v90(constB17, bitIndex2)) | v123(constB17))),
% 48.18/31.29 inference(rewrite,[status(thm)],[])).
% 48.18/31.29 tff(2671,plain,
% 48.18/31.29 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB17, bitIndex0) | v90(constB17, bitIndex1) | (~v90(constB17, bitIndex2)) | v123(constB17))),
% 48.18/31.29 inference(quant_inst,[status(thm)],[])).
% 48.18/31.29 tff(2672,plain,
% 48.18/31.29 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB17, bitIndex0) | v90(constB17, bitIndex1) | (~v90(constB17, bitIndex2)) | v123(constB17)),
% 48.18/31.29 inference(modus_ponens,[status(thm)],[2671, 2670])).
% 48.18/31.29 tff(2673,plain,
% 48.18/31.29 (v90(constB17, bitIndex0) | v90(constB17, bitIndex1) | (~v90(constB17, bitIndex2))),
% 48.18/31.29 inference(unit_resolution,[status(thm)],[2672, 584, 2669])).
% 48.18/31.29 tff(2674,plain,
% 48.18/31.29 ($false),
% 48.18/31.29 inference(unit_resolution,[status(thm)],[2673, 2668, 2652, 2640])).
% 48.18/31.29 tff(2675,plain,(v90(constB17, bitIndex1) | v123(constB17) | v124(constB17) | v119(constB17) | v120(constB17)), inference(lemma,lemma(discharge,[]))).
% 48.18/31.29 tff(2676,plain,
% 48.18/31.29 (v90(constB17, bitIndex1)),
% 48.18/31.29 inference(unit_resolution,[status(thm)],[2675, 2639, 2635, 2624, 2620])).
% 48.18/31.29 tff(2677,assumption,(v90(constB17, bitIndex1)), introduced(assumption)).
% 48.18/31.29 tff(2678,assumption,(~v122(constB17)), introduced(assumption)).
% 48.18/31.29 tff(2679,plain,
% 48.18/31.29 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB17, bitIndex0)) | (~v90(constB17, bitIndex1)) | v90(constB17, bitIndex2) | v122(constB17))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB17, bitIndex0)) | (~v90(constB17, bitIndex1)) | v90(constB17, bitIndex2) | v122(constB17))),
% 48.18/31.29 inference(rewrite,[status(thm)],[])).
% 48.18/31.29 tff(2680,plain,
% 48.18/31.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB17, bitIndex0)) | (~v90(constB17, bitIndex1)) | v90(constB17, bitIndex2) | v122(constB17))),
% 48.18/31.29 inference(quant_inst,[status(thm)],[])).
% 48.18/31.29 tff(2681,plain,
% 48.18/31.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB17, bitIndex0)) | (~v90(constB17, bitIndex1)) | v90(constB17, bitIndex2) | v122(constB17)),
% 48.18/31.29 inference(modus_ponens,[status(thm)],[2680, 2679])).
% 48.18/31.29 tff(2682,plain,
% 48.18/31.29 ((~v90(constB17, bitIndex0)) | (~v90(constB17, bitIndex1)) | v90(constB17, bitIndex2)),
% 48.18/31.29 inference(unit_resolution,[status(thm)],[2681, 1789, 2678])).
% 48.18/31.29 tff(2683,plain,
% 48.18/31.29 (~v90(constB17, bitIndex0)),
% 48.18/31.29 inference(unit_resolution,[status(thm)],[2682, 2643, 2677])).
% 48.18/31.29 tff(2684,assumption,(~v121(constB17)), introduced(assumption)).
% 48.18/31.29 tff(2685,plain,
% 48.18/31.29 (((~![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))),
% 48.18/31.29 inference(rewrite,[status(thm)],[])).
% 48.18/31.29 tff(2686,plain,
% 48.18/31.29 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB17, bitIndex0) | (~v90(constB17, bitIndex1)) | v90(constB17, bitIndex2) | v121(constB17))),
% 48.18/31.29 inference(quant_inst,[status(thm)],[])).
% 48.18/31.29 tff(2687,plain,
% 48.18/31.29 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB17, bitIndex0) | (~v90(constB17, bitIndex1)) | v90(constB17, bitIndex2) | v121(constB17)),
% 48.18/31.29 inference(modus_ponens,[status(thm)],[2686, 2685])).
% 48.18/31.29 tff(2688,plain,
% 48.18/31.29 (v90(constB17, bitIndex0) | (~v90(constB17, bitIndex1)) | v90(constB17, bitIndex2)),
% 48.18/31.29 inference(unit_resolution,[status(thm)],[2687, 1551, 2684])).
% 48.18/31.29 tff(2689,plain,
% 48.18/31.29 ($false),
% 48.18/31.29 inference(unit_resolution,[status(thm)],[2688, 2683, 2643, 2677])).
% 48.18/31.29 tff(2690,plain,(v90(constB17, bitIndex2) | (~v90(constB17, bitIndex1)) | v121(constB17) | v122(constB17)), inference(lemma,lemma(discharge,[]))).
% 48.18/31.29 tff(2691,plain,
% 48.18/31.29 (v90(constB17, bitIndex2)),
% 48.18/31.29 inference(unit_resolution,[status(thm)],[2690, 2676, 2612, 2604])).
% 48.18/31.29 tff(2692,plain,
% 48.18/31.29 (v90(constB16, bitIndex2)),
% 48.18/31.29 inference(unit_resolution,[status(thm)],[2453, 2691])).
% 48.18/31.29 tff(2693,plain,
% 48.18/31.29 (((~![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))),
% 48.18/31.29 inference(rewrite,[status(thm)],[])).
% 48.18/31.29 tff(2694,plain,
% 48.18/31.29 (((~nextState(constB17, constB18)) | (~v90(constB17, bitIndex2)) | v100(constB18) | v90(constB18, bitIndex2)) <=> ((~v90(constB17, bitIndex2)) | (~nextState(constB17, constB18)) | v100(constB18) | v90(constB18, bitIndex2))),
% 48.18/31.29 inference(rewrite,[status(thm)],[])).
% 48.18/31.29 tff(2695,plain,
% 48.18/31.29 (((~![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)))),
% 48.18/31.29 inference(monotonicity,[status(thm)],[2694])).
% 48.18/31.29 tff(2696,plain,
% 48.18/31.29 (((~![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))),
% 48.18/31.29 inference(transitivity,[status(thm)],[2695, 2693])).
% 48.18/31.29 tff(2697,plain,
% 48.18/31.29 ((~![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))),
% 48.18/31.29 inference(quant_inst,[status(thm)],[])).
% 48.18/31.29 tff(2698,plain,
% 48.18/31.29 ((~![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)),
% 48.18/31.29 inference(modus_ponens,[status(thm)],[2697, 2696])).
% 48.18/31.29 tff(2699,plain,
% 48.18/31.29 ((~v90(constB17, bitIndex2)) | v100(constB18) | v90(constB18, bitIndex2)),
% 48.18/31.29 inference(unit_resolution,[status(thm)],[2698, 417, 2505])).
% 48.18/31.29 tff(2700,plain,
% 48.18/31.29 (v90(constB18, bitIndex2)),
% 48.18/31.29 inference(unit_resolution,[status(thm)],[2699, 2691, 2545])).
% 48.18/31.29 tff(2701,plain,
% 48.18/31.29 (~v123(constB13)),
% 48.18/31.29 inference(unit_resolution,[status(thm)],[2543, 2700])).
% 48.18/31.29 tff(2702,plain,
% 48.18/31.29 (v90(constB16, bitIndex1)),
% 48.18/31.29 inference(unit_resolution,[status(thm)],[2378, 2676])).
% 48.18/31.29 tff(2703,plain,
% 48.18/31.29 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB17) | (~v125(constB17)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB17) | (~v125(constB17)))),
% 48.18/31.29 inference(rewrite,[status(thm)],[])).
% 48.18/31.29 tff(2704,plain,
% 48.18/31.29 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB17) | (~v125(constB17)))),
% 48.18/31.29 inference(quant_inst,[status(thm)],[])).
% 48.18/31.29 tff(2705,plain,
% 48.18/31.29 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB17) | (~v125(constB17))),
% 48.18/31.29 inference(modus_ponens,[status(thm)],[2704, 2703])).
% 48.18/31.29 tff(2706,plain,
% 48.18/31.29 (~v125(constB17)),
% 48.18/31.29 inference(unit_resolution,[status(thm)],[2705, 1031, 2588])).
% 48.18/31.29 tff(2707,plain,
% 48.18/31.29 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB17, bitIndex0) | (~v90(constB17, bitIndex1)) | (~v90(constB17, bitIndex2)) | v125(constB17))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB17, bitIndex0) | (~v90(constB17, bitIndex1)) | (~v90(constB17, bitIndex2)) | v125(constB17))),
% 48.18/31.29 inference(rewrite,[status(thm)],[])).
% 48.18/31.29 tff(2708,plain,
% 48.18/31.29 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB17, bitIndex0) | (~v90(constB17, bitIndex1)) | (~v90(constB17, bitIndex2)) | v125(constB17))),
% 48.18/31.29 inference(quant_inst,[status(thm)],[])).
% 48.18/31.29 tff(2709,plain,
% 48.18/31.29 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB17, bitIndex0) | (~v90(constB17, bitIndex1)) | (~v90(constB17, bitIndex2)) | v125(constB17)),
% 48.18/31.29 inference(modus_ponens,[status(thm)],[2708, 2707])).
% 48.18/31.29 tff(2710,plain,
% 48.18/31.29 (v90(constB17, bitIndex0) | (~v90(constB17, bitIndex1)) | (~v90(constB17, bitIndex2))),
% 48.18/31.29 inference(unit_resolution,[status(thm)],[2709, 1019, 2706])).
% 48.18/31.29 tff(2711,plain,
% 48.18/31.29 (v90(constB17, bitIndex0)),
% 48.18/31.29 inference(unit_resolution,[status(thm)],[2710, 2691, 2676])).
% 48.18/31.29 tff(2712,plain,
% 48.18/31.29 (((~![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)))),
% 48.18/31.29 inference(rewrite,[status(thm)],[])).
% 48.18/31.29 tff(2713,plain,
% 48.18/31.29 (((~nextState(constB16, constB17)) | v90(constB16, bitIndex0) | v100(constB17) | (~v90(constB17, bitIndex0))) <=> (v90(constB16, bitIndex0) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, bitIndex0)))),
% 48.18/31.29 inference(rewrite,[status(thm)],[])).
% 48.18/31.29 tff(2714,plain,
% 48.18/31.29 (((~![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))))),
% 48.18/31.29 inference(monotonicity,[status(thm)],[2713])).
% 48.18/31.29 tff(2715,plain,
% 48.18/31.29 (((~![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)))),
% 48.18/31.29 inference(transitivity,[status(thm)],[2714, 2712])).
% 48.18/31.29 tff(2716,plain,
% 48.18/31.29 ((~![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)))),
% 48.18/31.29 inference(quant_inst,[status(thm)],[])).
% 48.18/31.29 tff(2717,plain,
% 48.18/31.29 ((~![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))),
% 48.18/31.29 inference(modus_ponens,[status(thm)],[2716, 2715])).
% 48.18/31.29 tff(2718,plain,
% 48.18/31.29 (v90(constB16, bitIndex0) | v100(constB17) | (~v90(constB17, bitIndex0))),
% 48.18/31.29 inference(unit_resolution,[status(thm)],[2717, 123, 2358])).
% 48.18/31.29 tff(2719,plain,
% 48.18/31.29 (v90(constB16, bitIndex0) | (~v90(constB17, bitIndex0))),
% 48.18/31.29 inference(unit_resolution,[status(thm)],[2718, 2370])).
% 48.18/31.29 tff(2720,plain,
% 48.18/31.29 (v90(constB16, bitIndex0)),
% 48.18/31.29 inference(unit_resolution,[status(thm)],[2719, 2711])).
% 48.18/31.29 tff(2721,assumption,(v90(constB16, bitIndex0)), introduced(assumption)).
% 48.18/31.29 tff(2722,assumption,(~v100(constB16)), introduced(assumption)).
% 48.18/31.29 tff(2723,plain,
% 48.18/31.29 (((~![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)))),
% 48.18/31.29 inference(rewrite,[status(thm)],[])).
% 48.18/31.29 tff(2724,plain,
% 48.18/31.29 (((~nextState(constB15, constB16)) | v90(constB15, bitIndex0) | v100(constB16) | (~v90(constB16, bitIndex0))) <=> (v90(constB15, bitIndex0) | (~nextState(constB15, constB16)) | v100(constB16) | (~v90(constB16, bitIndex0)))),
% 48.18/31.29 inference(rewrite,[status(thm)],[])).
% 48.18/31.29 tff(2725,plain,
% 48.18/31.29 (((~![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))))),
% 48.18/31.29 inference(monotonicity,[status(thm)],[2724])).
% 48.18/31.29 tff(2726,plain,
% 48.18/31.29 (((~![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)))),
% 48.18/31.29 inference(transitivity,[status(thm)],[2725, 2723])).
% 48.18/31.29 tff(2727,plain,
% 48.18/31.29 ((~![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)))),
% 48.18/31.29 inference(quant_inst,[status(thm)],[])).
% 48.18/31.29 tff(2728,plain,
% 48.18/31.29 ((~![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))),
% 48.18/31.29 inference(modus_ponens,[status(thm)],[2727, 2726])).
% 48.18/31.29 tff(2729,plain,
% 48.18/31.29 (v90(constB15, bitIndex0) | v100(constB16) | (~v90(constB16, bitIndex0))),
% 48.18/31.29 inference(unit_resolution,[status(thm)],[2728, 123, 2241])).
% 48.18/31.29 tff(2730,plain,
% 48.18/31.29 (v90(constB15, bitIndex0)),
% 48.18/31.29 inference(unit_resolution,[status(thm)],[2729, 2722, 2721])).
% 48.18/31.29 tff(2731,plain,
% 48.18/31.29 (v90(constB14, bitIndex0)),
% 48.18/31.29 inference(unit_resolution,[status(thm)],[2213, 2730])).
% 48.18/31.29 tff(2732,assumption,(v90(constB16, bitIndex1)), introduced(assumption)).
% 48.18/31.29 tff(2733,plain,
% 48.18/31.29 (((~![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)))),
% 48.18/31.29 inference(rewrite,[status(thm)],[])).
% 48.18/31.29 tff(2734,plain,
% 48.18/31.29 (((~nextState(constB15, constB16)) | v90(constB15, bitIndex1) | v100(constB16) | (~v90(constB16, bitIndex1))) <=> (v90(constB15, bitIndex1) | (~nextState(constB15, constB16)) | v100(constB16) | (~v90(constB16, bitIndex1)))),
% 48.18/31.29 inference(rewrite,[status(thm)],[])).
% 48.18/31.29 tff(2735,plain,
% 48.18/31.29 (((~![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))))),
% 48.18/31.29 inference(monotonicity,[status(thm)],[2734])).
% 48.18/31.29 tff(2736,plain,
% 48.18/31.29 (((~![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)))),
% 48.18/31.29 inference(transitivity,[status(thm)],[2735, 2733])).
% 48.18/31.29 tff(2737,plain,
% 48.18/31.29 ((~![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)))),
% 48.18/31.29 inference(quant_inst,[status(thm)],[])).
% 48.18/31.29 tff(2738,plain,
% 48.18/31.29 ((~![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))),
% 48.18/31.29 inference(modus_ponens,[status(thm)],[2737, 2736])).
% 48.18/31.29 tff(2739,plain,
% 48.18/31.29 (v90(constB15, bitIndex1) | v100(constB16) | (~v90(constB16, bitIndex1))),
% 48.18/31.29 inference(unit_resolution,[status(thm)],[2738, 102, 2241])).
% 48.18/31.29 tff(2740,plain,
% 48.18/31.29 (v90(constB15, bitIndex1)),
% 48.18/31.29 inference(unit_resolution,[status(thm)],[2739, 2722, 2732])).
% 48.18/31.29 tff(2741,plain,
% 48.18/31.29 (((~![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)))),
% 48.18/31.29 inference(rewrite,[status(thm)],[])).
% 48.18/31.29 tff(2742,plain,
% 48.18/31.29 (((~nextState(constB14, constB15)) | v90(constB14, bitIndex1) | v100(constB15) | (~v90(constB15, bitIndex1))) <=> (v90(constB14, bitIndex1) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex1)))),
% 48.18/31.29 inference(rewrite,[status(thm)],[])).
% 48.18/31.29 tff(2743,plain,
% 48.18/31.29 (((~![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))))),
% 48.18/31.29 inference(monotonicity,[status(thm)],[2742])).
% 48.18/31.29 tff(2744,plain,
% 48.18/31.29 (((~![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)))),
% 48.18/31.29 inference(transitivity,[status(thm)],[2743, 2741])).
% 48.18/31.29 tff(2745,plain,
% 48.18/31.29 ((~![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)))),
% 48.18/31.29 inference(quant_inst,[status(thm)],[])).
% 48.18/31.29 tff(2746,plain,
% 48.18/31.29 ((~![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))),
% 48.18/31.29 inference(modus_ponens,[status(thm)],[2745, 2744])).
% 48.18/31.29 tff(2747,plain,
% 48.18/31.29 (v90(constB14, bitIndex1) | v100(constB15) | (~v90(constB15, bitIndex1))),
% 48.18/31.29 inference(unit_resolution,[status(thm)],[2746, 102, 2128])).
% 48.18/31.29 tff(2748,plain,
% 48.18/31.29 (v90(constB14, bitIndex1) | (~v90(constB15, bitIndex1))),
% 48.18/31.29 inference(unit_resolution,[status(thm)],[2747, 2140])).
% 48.18/31.29 tff(2749,plain,
% 48.18/31.29 (v90(constB14, bitIndex1)),
% 48.18/31.29 inference(unit_resolution,[status(thm)],[2748, 2740])).
% 48.18/31.29 tff(2750,assumption,(v90(constB16, bitIndex2)), introduced(assumption)).
% 48.18/31.29 tff(2751,plain,
% 48.18/31.29 (((~![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)))),
% 48.18/31.29 inference(rewrite,[status(thm)],[])).
% 48.18/31.29 tff(2752,plain,
% 48.18/31.29 (((~nextState(constB15, constB16)) | v90(constB15, bitIndex2) | v100(constB16) | (~v90(constB16, bitIndex2))) <=> (v90(constB15, bitIndex2) | (~nextState(constB15, constB16)) | v100(constB16) | (~v90(constB16, bitIndex2)))),
% 48.18/31.29 inference(rewrite,[status(thm)],[])).
% 48.18/31.29 tff(2753,plain,
% 48.18/31.29 (((~![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))))),
% 48.18/31.29 inference(monotonicity,[status(thm)],[2752])).
% 48.18/31.29 tff(2754,plain,
% 48.18/31.29 (((~![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)))),
% 48.18/31.29 inference(transitivity,[status(thm)],[2753, 2751])).
% 48.18/31.29 tff(2755,plain,
% 48.18/31.29 ((~![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)))),
% 48.18/31.29 inference(quant_inst,[status(thm)],[])).
% 48.18/31.29 tff(2756,plain,
% 48.18/31.29 ((~![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))),
% 48.18/31.29 inference(modus_ponens,[status(thm)],[2755, 2754])).
% 48.18/31.29 tff(2757,plain,
% 48.18/31.29 (v90(constB15, bitIndex2) | v100(constB16) | (~v90(constB16, bitIndex2))),
% 48.18/31.29 inference(unit_resolution,[status(thm)],[2756, 81, 2241])).
% 48.18/31.29 tff(2758,plain,
% 48.18/31.29 (v90(constB15, bitIndex2)),
% 48.18/31.29 inference(unit_resolution,[status(thm)],[2757, 2722, 2750])).
% 48.18/31.29 tff(2759,plain,
% 48.18/31.29 (((~![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)))),
% 48.18/31.29 inference(rewrite,[status(thm)],[])).
% 48.18/31.29 tff(2760,plain,
% 48.18/31.29 (((~nextState(constB14, constB15)) | v90(constB14, bitIndex2) | v100(constB15) | (~v90(constB15, bitIndex2))) <=> (v90(constB14, bitIndex2) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, bitIndex2)))),
% 48.18/31.29 inference(rewrite,[status(thm)],[])).
% 48.18/31.29 tff(2761,plain,
% 48.18/31.29 (((~![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))))),
% 48.18/31.29 inference(monotonicity,[status(thm)],[2760])).
% 48.18/31.29 tff(2762,plain,
% 48.18/31.29 (((~![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)))),
% 48.18/31.29 inference(transitivity,[status(thm)],[2761, 2759])).
% 48.18/31.29 tff(2763,plain,
% 48.18/31.29 ((~![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)))),
% 48.18/31.30 inference(quant_inst,[status(thm)],[])).
% 48.18/31.30 tff(2764,plain,
% 48.18/31.30 ((~![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))),
% 48.18/31.30 inference(modus_ponens,[status(thm)],[2763, 2762])).
% 48.18/31.30 tff(2765,plain,
% 48.18/31.30 (v90(constB14, bitIndex2) | v100(constB15) | (~v90(constB15, bitIndex2))),
% 48.18/31.30 inference(unit_resolution,[status(thm)],[2764, 81, 2128])).
% 48.18/31.30 tff(2766,plain,
% 48.18/31.30 (v90(constB14, bitIndex2) | (~v90(constB15, bitIndex2))),
% 48.18/31.30 inference(unit_resolution,[status(thm)],[2765, 2140])).
% 48.18/31.30 tff(2767,plain,
% 48.18/31.30 (v90(constB14, bitIndex2)),
% 48.18/31.30 inference(unit_resolution,[status(thm)],[2766, 2758])).
% 48.18/31.30 tff(2768,assumption,(v90(constB14, bitIndex0)), introduced(assumption)).
% 48.18/31.30 tff(2769,assumption,(~v100(constB14)), introduced(assumption)).
% 48.18/31.30 tff(2770,plain,
% 48.18/31.30 (((~![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)))),
% 48.18/31.30 inference(rewrite,[status(thm)],[])).
% 48.18/31.30 tff(2771,plain,
% 48.18/31.30 (((~nextState(constB13, constB14)) | v90(constB13, bitIndex0) | v100(constB14) | (~v90(constB14, bitIndex0))) <=> (v90(constB13, bitIndex0) | (~nextState(constB13, constB14)) | v100(constB14) | (~v90(constB14, bitIndex0)))),
% 48.18/31.30 inference(rewrite,[status(thm)],[])).
% 48.18/31.30 tff(2772,plain,
% 48.18/31.30 (((~![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))))),
% 48.18/31.30 inference(monotonicity,[status(thm)],[2771])).
% 48.18/31.30 tff(2773,plain,
% 48.18/31.30 (((~![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)))),
% 48.18/31.30 inference(transitivity,[status(thm)],[2772, 2770])).
% 48.18/31.30 tff(2774,plain,
% 48.18/31.30 ((~![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)))),
% 48.18/31.30 inference(quant_inst,[status(thm)],[])).
% 48.18/31.30 tff(2775,plain,
% 48.18/31.30 ((~![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))),
% 48.18/31.30 inference(modus_ponens,[status(thm)],[2774, 2773])).
% 48.18/31.30 tff(2776,plain,
% 48.18/31.30 (v90(constB13, bitIndex0) | v100(constB14) | (~v90(constB14, bitIndex0))),
% 48.18/31.30 inference(unit_resolution,[status(thm)],[2775, 123, 2066])).
% 48.18/31.30 tff(2777,plain,
% 48.18/31.30 (v90(constB13, bitIndex0)),
% 48.18/31.30 inference(unit_resolution,[status(thm)],[2776, 2769, 2768])).
% 48.18/31.30 tff(2778,plain,
% 48.18/31.30 (v90(constB12, bitIndex0)),
% 48.18/31.30 inference(unit_resolution,[status(thm)],[2030, 2777])).
% 48.18/31.30 tff(2779,assumption,(v90(constB14, bitIndex1)), introduced(assumption)).
% 48.18/31.30 tff(2780,plain,
% 48.18/31.30 (((~![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)))),
% 48.18/31.30 inference(rewrite,[status(thm)],[])).
% 48.18/31.30 tff(2781,plain,
% 48.18/31.30 (((~nextState(constB13, constB14)) | v90(constB13, bitIndex1) | v100(constB14) | (~v90(constB14, bitIndex1))) <=> (v90(constB13, bitIndex1) | (~nextState(constB13, constB14)) | v100(constB14) | (~v90(constB14, bitIndex1)))),
% 48.18/31.30 inference(rewrite,[status(thm)],[])).
% 48.18/31.30 tff(2782,plain,
% 48.18/31.30 (((~![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))))),
% 48.18/31.30 inference(monotonicity,[status(thm)],[2781])).
% 48.18/31.30 tff(2783,plain,
% 48.18/31.30 (((~![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)))),
% 48.18/31.30 inference(transitivity,[status(thm)],[2782, 2780])).
% 48.18/31.30 tff(2784,plain,
% 48.18/31.30 ((~![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)))),
% 48.18/31.30 inference(quant_inst,[status(thm)],[])).
% 48.18/31.30 tff(2785,plain,
% 48.18/31.30 ((~![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))),
% 48.18/31.30 inference(modus_ponens,[status(thm)],[2784, 2783])).
% 48.18/31.30 tff(2786,plain,
% 48.18/31.30 (v90(constB13, bitIndex1) | v100(constB14) | (~v90(constB14, bitIndex1))),
% 48.18/31.30 inference(unit_resolution,[status(thm)],[2785, 102, 2066])).
% 48.18/31.30 tff(2787,plain,
% 48.18/31.30 (v90(constB13, bitIndex1)),
% 48.18/31.30 inference(unit_resolution,[status(thm)],[2786, 2769, 2779])).
% 48.18/31.30 tff(2788,plain,
% 48.18/31.30 (v90(constB12, bitIndex1)),
% 48.18/31.30 inference(unit_resolution,[status(thm)],[1986, 2787])).
% 48.18/31.30 tff(2789,assumption,(v90(constB14, bitIndex2)), introduced(assumption)).
% 48.18/31.30 tff(2790,plain,
% 48.18/31.30 (((~![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)))),
% 48.18/31.30 inference(rewrite,[status(thm)],[])).
% 48.18/31.30 tff(2791,plain,
% 48.18/31.30 (((~nextState(constB13, constB14)) | v90(constB13, bitIndex2) | v100(constB14) | (~v90(constB14, bitIndex2))) <=> (v90(constB13, bitIndex2) | (~nextState(constB13, constB14)) | v100(constB14) | (~v90(constB14, bitIndex2)))),
% 48.18/31.30 inference(rewrite,[status(thm)],[])).
% 48.18/31.30 tff(2792,plain,
% 48.18/31.30 (((~![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))))),
% 48.18/31.30 inference(monotonicity,[status(thm)],[2791])).
% 48.18/31.30 tff(2793,plain,
% 48.18/31.30 (((~![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)))),
% 48.18/31.30 inference(transitivity,[status(thm)],[2792, 2790])).
% 48.18/31.30 tff(2794,plain,
% 48.18/31.30 ((~![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)))),
% 48.18/31.30 inference(quant_inst,[status(thm)],[])).
% 48.18/31.30 tff(2795,plain,
% 48.18/31.30 ((~![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))),
% 48.18/31.30 inference(modus_ponens,[status(thm)],[2794, 2793])).
% 48.18/31.30 tff(2796,plain,
% 48.18/31.30 (v90(constB13, bitIndex2) | v100(constB14) | (~v90(constB14, bitIndex2))),
% 48.18/31.30 inference(unit_resolution,[status(thm)],[2795, 81, 2066])).
% 48.18/31.30 tff(2797,plain,
% 48.18/31.30 (v90(constB13, bitIndex2)),
% 48.18/31.30 inference(unit_resolution,[status(thm)],[2796, 2769, 2789])).
% 48.18/31.30 tff(2798,plain,
% 48.18/31.30 (((~![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)))),
% 48.18/31.30 inference(rewrite,[status(thm)],[])).
% 48.18/31.30 tff(2799,plain,
% 48.18/31.30 (((~nextState(constB12, constB13)) | v90(constB12, bitIndex2) | v100(constB13) | (~v90(constB13, bitIndex2))) <=> (v90(constB12, bitIndex2) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, bitIndex2)))),
% 48.18/31.30 inference(rewrite,[status(thm)],[])).
% 48.18/31.30 tff(2800,plain,
% 48.18/31.30 (((~![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))))),
% 48.18/31.30 inference(monotonicity,[status(thm)],[2799])).
% 48.18/31.30 tff(2801,plain,
% 48.18/31.30 (((~![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)))),
% 48.18/31.30 inference(transitivity,[status(thm)],[2800, 2798])).
% 48.18/31.30 tff(2802,plain,
% 48.18/31.30 ((~![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)))),
% 48.18/31.30 inference(quant_inst,[status(thm)],[])).
% 48.18/31.30 tff(2803,plain,
% 48.18/31.30 ((~![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))),
% 48.18/31.30 inference(modus_ponens,[status(thm)],[2802, 2801])).
% 48.18/31.30 tff(2804,plain,
% 48.18/31.30 (v90(constB12, bitIndex2) | v100(constB13) | (~v90(constB13, bitIndex2))),
% 48.18/31.30 inference(unit_resolution,[status(thm)],[2803, 81, 1904])).
% 48.18/31.30 tff(2805,plain,
% 48.18/31.30 (v90(constB12, bitIndex2) | (~v90(constB13, bitIndex2))),
% 48.18/31.30 inference(unit_resolution,[status(thm)],[2804, 1916])).
% 48.18/31.30 tff(2806,plain,
% 48.18/31.30 (v90(constB12, bitIndex2)),
% 48.18/31.30 inference(unit_resolution,[status(thm)],[2805, 2797])).
% 48.18/31.30 tff(2807,assumption,(v100(constB12)), introduced(assumption)).
% 48.18/31.30 tff(2808,assumption,(v90(constB12, bitIndex1)), introduced(assumption)).
% 48.18/31.30 tff(2809,plain,
% 48.18/31.30 (v129(constB12, bitIndex1) | (~v100(constB12))),
% 48.18/31.30 inference(unit_resolution,[status(thm)],[1976, 483, 2808])).
% 48.18/31.30 tff(2810,plain,
% 48.18/31.30 (v129(constB12, bitIndex1)),
% 48.18/31.30 inference(unit_resolution,[status(thm)],[2809, 2807])).
% 48.18/31.30 tff(2811,plain,
% 48.18/31.30 (v127(constB11, bitIndex1)),
% 48.18/31.30 inference(unit_resolution,[status(thm)],[1969, 2810])).
% 48.18/31.30 tff(2812,plain,
% 48.18/31.30 (v130(constB11, bitIndex1)),
% 48.18/31.30 inference(unit_resolution,[status(thm)],[1964, 2811])).
% 48.18/31.30 tff(2813,assumption,(v90(constB12, bitIndex0)), introduced(assumption)).
% 48.18/31.30 tff(2814,plain,
% 48.18/31.30 (v129(constB12, bitIndex0) | (~v100(constB12))),
% 48.18/31.30 inference(unit_resolution,[status(thm)],[2020, 557, 2813])).
% 48.18/31.30 tff(2815,plain,
% 48.18/31.30 (v129(constB12, bitIndex0)),
% 48.18/31.30 inference(unit_resolution,[status(thm)],[2814, 2807])).
% 48.18/31.30 tff(2816,plain,
% 48.18/31.30 (v127(constB11, bitIndex0)),
% 48.18/31.30 inference(unit_resolution,[status(thm)],[2013, 2815])).
% 48.18/31.30 tff(2817,plain,
% 48.18/31.30 (v130(constB11, bitIndex0)),
% 48.18/31.30 inference(unit_resolution,[status(thm)],[2008, 2816])).
% 48.18/31.30 tff(2818,plain,
% 48.18/31.30 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB11)) | (~v130(constB11, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB11)) | (~v130(constB11, bitIndex0)))),
% 48.18/31.30 inference(rewrite,[status(thm)],[])).
% 48.18/31.30 tff(2819,plain,
% 48.18/31.30 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB11)) | (~v130(constB11, bitIndex0)))),
% 48.18/31.30 inference(quant_inst,[status(thm)],[])).
% 48.18/31.30 tff(2820,plain,
% 48.18/31.30 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB11)) | (~v130(constB11, bitIndex0))),
% 48.18/31.30 inference(modus_ponens,[status(thm)],[2819, 2818])).
% 48.18/31.30 tff(2821,plain,
% 48.18/31.30 (~v123(constB11)),
% 48.18/31.30 inference(unit_resolution,[status(thm)],[2820, 975, 2817])).
% 48.18/31.30 tff(2822,assumption,(v90(constB12, bitIndex2)), introduced(assumption)).
% 48.18/31.30 tff(2823,plain,
% 48.18/31.30 (((~![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)))),
% 48.18/31.30 inference(rewrite,[status(thm)],[])).
% 48.18/31.30 tff(2824,plain,
% 48.18/31.30 (((~v90(constB12, bitIndex2)) | (~v100(constB12)) | v129(constB12, bitIndex2)) <=> ((~v90(constB12, bitIndex2)) | v129(constB12, bitIndex2) | (~v100(constB12)))),
% 48.18/31.30 inference(rewrite,[status(thm)],[])).
% 48.18/31.30 tff(2825,plain,
% 48.18/31.30 (((~![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))))),
% 48.18/31.30 inference(monotonicity,[status(thm)],[2824])).
% 48.18/31.30 tff(2826,plain,
% 48.18/31.30 (((~![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)))),
% 48.18/31.30 inference(transitivity,[status(thm)],[2825, 2823])).
% 48.18/31.30 tff(2827,plain,
% 48.18/31.30 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB12, bitIndex2)) | (~v100(constB12)) | v129(constB12, bitIndex2))),
% 48.18/31.30 inference(quant_inst,[status(thm)],[])).
% 48.18/31.30 tff(2828,plain,
% 48.18/31.30 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB12, bitIndex2)) | v129(constB12, bitIndex2) | (~v100(constB12))),
% 48.18/31.30 inference(modus_ponens,[status(thm)],[2827, 2826])).
% 48.18/31.30 tff(2829,plain,
% 48.18/31.30 (v129(constB12, bitIndex2) | (~v100(constB12))),
% 48.18/31.30 inference(unit_resolution,[status(thm)],[2828, 1258, 2822])).
% 48.18/31.30 tff(2830,plain,
% 48.18/31.30 (v129(constB12, bitIndex2)),
% 48.18/31.30 inference(unit_resolution,[status(thm)],[2829, 2807])).
% 48.18/31.30 tff(2831,plain,
% 48.18/31.30 (((~![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)))),
% 48.18/31.30 inference(rewrite,[status(thm)],[])).
% 48.18/31.30 tff(2832,plain,
% 48.18/31.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB11, constB12)) | v127(constB11, bitIndex2) | (~v129(constB12, bitIndex2)))),
% 48.18/31.30 inference(quant_inst,[status(thm)],[])).
% 48.18/31.30 tff(2833,plain,
% 48.18/31.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB11, constB12)) | v127(constB11, bitIndex2) | (~v129(constB12, bitIndex2))),
% 48.18/31.30 inference(modus_ponens,[status(thm)],[2832, 2831])).
% 48.18/31.30 tff(2834,plain,
% 48.18/31.30 (v127(constB11, bitIndex2) | (~v129(constB12, bitIndex2))),
% 48.18/31.30 inference(unit_resolution,[status(thm)],[2833, 1243, 1832])).
% 48.18/31.30 tff(2835,plain,
% 48.18/31.30 (v127(constB11, bitIndex2)),
% 48.18/31.30 inference(unit_resolution,[status(thm)],[2834, 2830])).
% 48.18/31.30 tff(2836,plain,
% 48.18/31.30 (((~![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))),
% 48.18/31.30 inference(rewrite,[status(thm)],[])).
% 48.18/31.30 tff(2837,plain,
% 48.18/31.30 ((v26(constB11) | v130(constB11, bitIndex2) | (~v127(constB11, bitIndex2))) <=> ((~v127(constB11, bitIndex2)) | v26(constB11) | v130(constB11, bitIndex2))),
% 48.18/31.30 inference(rewrite,[status(thm)],[])).
% 48.18/31.30 tff(2838,plain,
% 48.18/31.30 (((~![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)))),
% 48.18/31.30 inference(monotonicity,[status(thm)],[2837])).
% 48.18/31.30 tff(2839,plain,
% 48.18/31.30 (((~![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))),
% 48.18/31.30 inference(transitivity,[status(thm)],[2838, 2836])).
% 48.18/31.30 tff(2840,plain,
% 48.18/31.30 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB11) | v130(constB11, bitIndex2) | (~v127(constB11, bitIndex2)))),
% 48.18/31.30 inference(quant_inst,[status(thm)],[])).
% 48.18/31.30 tff(2841,plain,
% 48.18/31.30 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB11, bitIndex2)) | v26(constB11) | v130(constB11, bitIndex2)),
% 48.18/31.30 inference(modus_ponens,[status(thm)],[2840, 2839])).
% 48.18/31.30 tff(2842,plain,
% 48.18/31.30 ((~v127(constB11, bitIndex2)) | v130(constB11, bitIndex2)),
% 48.18/31.30 inference(unit_resolution,[status(thm)],[2841, 1210, 1820])).
% 48.18/31.30 tff(2843,plain,
% 48.18/31.30 (v130(constB11, bitIndex2)),
% 48.18/31.30 inference(unit_resolution,[status(thm)],[2842, 2835])).
% 48.18/31.30 tff(2844,plain,
% 48.18/31.30 (^[VarCurr: $i] : refl(((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2))))),
% 48.18/31.30 inference(bind,[status(th)],[])).
% 48.18/31.30 tff(2845,plain,
% 48.18/31.30 (![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 48.18/31.30 inference(quant_intro,[status(thm)],[2844])).
% 48.18/31.30 tff(2846,plain,
% 48.18/31.30 (![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 48.18/31.30 inference(rewrite,[status(thm)],[])).
% 48.18/31.30 tff(2847,plain,
% 48.18/31.30 (^[VarCurr: $i] : rewrite(((~v130(VarCurr, bitIndex2)) | (~v124(VarCurr))) <=> ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2))))),
% 48.18/31.30 inference(bind,[status(th)],[])).
% 48.18/31.30 tff(2848,plain,
% 48.18/31.30 (![VarCurr: $i] : ((~v130(VarCurr, bitIndex2)) | (~v124(VarCurr))) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 48.18/31.30 inference(quant_intro,[status(thm)],[2847])).
% 48.18/31.30 tff(2849,axiom,(![VarCurr: $i] : ((~v130(VarCurr, bitIndex2)) | (~v124(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5_1_3')).
% 48.18/31.30 tff(2850,plain,
% 48.18/31.30 (![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 48.18/31.30 inference(modus_ponens,[status(thm)],[2849, 2848])).
% 48.18/31.30 tff(2851,plain,
% 48.18/31.30 (![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 48.18/31.30 inference(modus_ponens,[status(thm)],[2850, 2846])).
% 48.18/31.30 tff(2852,plain,(
% 48.18/31.30 ![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 48.18/31.30 inference(skolemize,[status(sab)],[2851])).
% 48.18/31.30 tff(2853,plain,
% 48.18/31.30 (![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))),
% 48.18/31.30 inference(modus_ponens,[status(thm)],[2852, 2845])).
% 48.18/31.30 tff(2854,plain,
% 48.18/31.30 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB11)) | (~v130(constB11, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB11)) | (~v130(constB11, bitIndex2)))),
% 48.18/31.30 inference(rewrite,[status(thm)],[])).
% 48.18/31.30 tff(2855,plain,
% 48.18/31.30 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB11)) | (~v130(constB11, bitIndex2)))),
% 48.18/31.30 inference(quant_inst,[status(thm)],[])).
% 48.18/31.30 tff(2856,plain,
% 48.18/31.30 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB11)) | (~v130(constB11, bitIndex2))),
% 48.18/31.30 inference(modus_ponens,[status(thm)],[2855, 2854])).
% 48.18/31.30 tff(2857,plain,
% 48.18/31.30 (~v124(constB11)),
% 48.18/31.30 inference(unit_resolution,[status(thm)],[2856, 2853, 2843])).
% 48.18/31.30 tff(2858,assumption,(~v90(constB10, bitIndex2)), introduced(assumption)).
% 48.18/31.30 tff(2859,assumption,(~v90(constB10, bitIndex1)), introduced(assumption)).
% 48.18/31.30 tff(2860,assumption,(~v100(constB10)), introduced(assumption)).
% 48.18/31.30 tff(2861,plain,
% 48.18/31.30 (~v110(constB10)),
% 48.18/31.30 inference(unit_resolution,[status(thm)],[1634, 2860])).
% 48.18/31.30 tff(2862,plain,
% 48.18/31.30 (~v108(constB9)),
% 48.18/31.30 inference(unit_resolution,[status(thm)],[1608, 2861])).
% 48.18/31.30 tff(2863,plain,
% 48.18/31.30 (~v112(constB9)),
% 48.18/31.30 inference(unit_resolution,[status(thm)],[1597, 236, 2862])).
% 48.18/31.30 tff(2864,plain,
% 48.18/31.30 (~v113(constB9)),
% 48.18/31.30 inference(unit_resolution,[status(thm)],[1593, 2863])).
% 48.18/31.30 tff(2865,plain,
% 48.18/31.30 (~v114(constB9)),
% 48.18/31.30 inference(unit_resolution,[status(thm)],[1581, 210, 2864])).
% 48.18/31.30 tff(2866,plain,
% 48.18/31.30 (~v115(constB9)),
% 48.18/31.30 inference(unit_resolution,[status(thm)],[1577, 199, 2865])).
% 48.18/31.30 tff(2867,plain,
% 48.18/31.30 (((~![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))),
% 48.18/31.30 inference(rewrite,[status(thm)],[])).
% 48.18/31.30 tff(2868,plain,
% 48.18/31.30 (((~nextState(constB9, constB10)) | (~v90(constB9, bitIndex2)) | v100(constB10) | v90(constB10, bitIndex2)) <=> ((~v90(constB9, bitIndex2)) | (~nextState(constB9, constB10)) | v100(constB10) | v90(constB10, bitIndex2))),
% 48.18/31.30 inference(rewrite,[status(thm)],[])).
% 48.18/31.30 tff(2869,plain,
% 48.18/31.30 (((~![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)))),
% 48.18/31.30 inference(monotonicity,[status(thm)],[2868])).
% 48.18/31.30 tff(2870,plain,
% 48.18/31.30 (((~![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))),
% 48.18/31.30 inference(transitivity,[status(thm)],[2869, 2867])).
% 48.18/31.30 tff(2871,plain,
% 48.18/31.30 ((~![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))),
% 48.18/31.30 inference(quant_inst,[status(thm)],[])).
% 48.18/31.30 tff(2872,plain,
% 48.18/31.30 ((~![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)),
% 48.18/31.30 inference(modus_ponens,[status(thm)],[2871, 2870])).
% 48.18/31.30 tff(2873,plain,
% 48.18/31.30 ((~v90(constB9, bitIndex2)) | v100(constB10) | v90(constB10, bitIndex2)),
% 48.18/31.30 inference(unit_resolution,[status(thm)],[2872, 417, 1601])).
% 48.18/31.30 tff(2874,plain,
% 48.18/31.30 (~v90(constB9, bitIndex2)),
% 48.18/31.30 inference(unit_resolution,[status(thm)],[2873, 2860, 2858])).
% 48.18/31.30 tff(2875,plain,
% 48.18/31.30 (((~![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))),
% 48.18/31.30 inference(rewrite,[status(thm)],[])).
% 48.18/31.30 tff(2876,plain,
% 48.18/31.30 (((~nextState(constB9, constB10)) | (~v90(constB9, bitIndex1)) | v100(constB10) | v90(constB10, bitIndex1)) <=> ((~v90(constB9, bitIndex1)) | (~nextState(constB9, constB10)) | v100(constB10) | v90(constB10, bitIndex1))),
% 48.18/31.30 inference(rewrite,[status(thm)],[])).
% 48.18/31.30 tff(2877,plain,
% 48.18/31.30 (((~![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)))),
% 48.18/31.31 inference(monotonicity,[status(thm)],[2876])).
% 48.18/31.31 tff(2878,plain,
% 48.18/31.31 (((~![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))),
% 48.18/31.31 inference(transitivity,[status(thm)],[2877, 2875])).
% 48.18/31.31 tff(2879,plain,
% 48.18/31.31 ((~![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))),
% 48.18/31.31 inference(quant_inst,[status(thm)],[])).
% 48.18/31.31 tff(2880,plain,
% 48.18/31.31 ((~![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)),
% 48.18/31.31 inference(modus_ponens,[status(thm)],[2879, 2878])).
% 48.18/31.31 tff(2881,plain,
% 48.18/31.31 ((~v90(constB9, bitIndex1)) | v100(constB10) | v90(constB10, bitIndex1)),
% 48.18/31.31 inference(unit_resolution,[status(thm)],[2880, 747, 1601])).
% 48.18/31.31 tff(2882,plain,
% 48.18/31.31 (~v90(constB9, bitIndex1)),
% 48.18/31.31 inference(unit_resolution,[status(thm)],[2881, 2860, 2859])).
% 48.18/31.31 tff(2883,assumption,(~v90(constB9, bitIndex0)), introduced(assumption)).
% 48.18/31.31 tff(2884,plain,
% 48.18/31.31 (((~![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))),
% 48.18/31.31 inference(rewrite,[status(thm)],[])).
% 48.18/31.31 tff(2885,plain,
% 48.18/31.31 (((~nextState(constB8, constB9)) | (~v90(constB8, bitIndex0)) | v100(constB9) | v90(constB9, bitIndex0)) <=> ((~v90(constB8, bitIndex0)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, bitIndex0))),
% 48.18/31.31 inference(rewrite,[status(thm)],[])).
% 48.18/31.31 tff(2886,plain,
% 48.18/31.31 (((~![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)))),
% 48.18/31.31 inference(monotonicity,[status(thm)],[2885])).
% 48.18/31.31 tff(2887,plain,
% 48.18/31.31 (((~![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))),
% 48.18/31.31 inference(transitivity,[status(thm)],[2886, 2884])).
% 48.18/31.31 tff(2888,plain,
% 48.18/31.31 ((~![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))),
% 48.18/31.31 inference(quant_inst,[status(thm)],[])).
% 48.18/31.31 tff(2889,plain,
% 48.18/31.31 ((~![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)),
% 48.18/31.31 inference(modus_ponens,[status(thm)],[2888, 2887])).
% 48.18/31.31 tff(2890,plain,
% 48.18/31.31 ((~v90(constB8, bitIndex0)) | v100(constB9) | v90(constB9, bitIndex0)),
% 48.18/31.31 inference(unit_resolution,[status(thm)],[2889, 1124, 1419])).
% 48.18/31.31 tff(2891,plain,
% 48.18/31.31 ((~v90(constB8, bitIndex0)) | v90(constB9, bitIndex0)),
% 48.18/31.31 inference(unit_resolution,[status(thm)],[2890, 1431])).
% 48.18/31.31 tff(2892,plain,
% 48.18/31.31 (~v90(constB8, bitIndex0)),
% 48.18/31.31 inference(unit_resolution,[status(thm)],[2891, 2883])).
% 48.18/31.31 tff(2893,plain,
% 48.18/31.31 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB9) | v90(constB9, bitIndex0) | v90(constB9, bitIndex1) | v90(constB9, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB9) | v90(constB9, bitIndex0) | v90(constB9, bitIndex1) | v90(constB9, bitIndex2))),
% 48.18/31.31 inference(rewrite,[status(thm)],[])).
% 48.18/31.31 tff(2894,plain,
% 48.18/31.31 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB9) | v90(constB9, bitIndex0) | v90(constB9, bitIndex1) | v90(constB9, bitIndex2))),
% 48.18/31.31 inference(quant_inst,[status(thm)],[])).
% 48.18/31.31 tff(2895,plain,
% 48.18/31.31 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB9) | v90(constB9, bitIndex0) | v90(constB9, bitIndex1) | v90(constB9, bitIndex2)),
% 48.18/31.31 inference(modus_ponens,[status(thm)],[2894, 2893])).
% 48.18/31.31 tff(2896,plain,
% 48.18/31.31 (v119(constB9) | v90(constB9, bitIndex1) | v90(constB9, bitIndex2)),
% 48.18/31.31 inference(unit_resolution,[status(thm)],[2895, 144, 2883])).
% 48.18/31.31 tff(2897,plain,
% 48.18/31.31 (v119(constB9)),
% 48.18/31.31 inference(unit_resolution,[status(thm)],[2896, 2874, 2882])).
% 48.18/31.31 tff(2898,plain,
% 48.18/31.31 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB9) | (~v119(constB9)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB9) | (~v119(constB9)))),
% 48.18/31.31 inference(rewrite,[status(thm)],[])).
% 48.18/31.31 tff(2899,plain,
% 48.18/31.31 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB9) | (~v119(constB9)))),
% 48.18/31.31 inference(quant_inst,[status(thm)],[])).
% 48.18/31.31 tff(2900,plain,
% 48.18/31.31 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB9) | (~v119(constB9))),
% 48.18/31.31 inference(modus_ponens,[status(thm)],[2899, 2898])).
% 48.18/31.31 tff(2901,plain,
% 48.18/31.31 (v118(constB9)),
% 48.18/31.31 inference(unit_resolution,[status(thm)],[2900, 155, 2897])).
% 48.18/31.31 tff(2902,plain,
% 48.18/31.31 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB9) | (~v118(constB9)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB9) | (~v118(constB9)))),
% 48.18/31.31 inference(rewrite,[status(thm)],[])).
% 48.18/31.31 tff(2903,plain,
% 48.18/31.31 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB9) | (~v118(constB9)))),
% 48.18/31.31 inference(quant_inst,[status(thm)],[])).
% 48.18/31.31 tff(2904,plain,
% 48.18/31.31 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB9) | (~v118(constB9))),
% 48.18/31.31 inference(modus_ponens,[status(thm)],[2903, 2902])).
% 48.18/31.31 tff(2905,plain,
% 48.18/31.31 (v117(constB9)),
% 48.18/31.31 inference(unit_resolution,[status(thm)],[2904, 166, 2901])).
% 48.18/31.31 tff(2906,plain,
% 48.18/31.31 (v116(constB9)),
% 48.18/31.31 inference(unit_resolution,[status(thm)],[1569, 177, 2905])).
% 48.18/31.31 tff(2907,plain,
% 48.18/31.31 ($false),
% 48.18/31.31 inference(unit_resolution,[status(thm)],[1573, 188, 2866, 2906])).
% 48.18/31.31 tff(2908,plain,(v100(constB10) | v90(constB9, bitIndex0) | v90(constB10, bitIndex2) | v90(constB10, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 48.18/31.31 tff(2909,plain,
% 48.18/31.31 (v100(constB10)),
% 48.18/31.31 inference(unit_resolution,[status(thm)],[2908, 2883, 2858, 2859])).
% 48.18/31.31 tff(2910,assumption,(~v90(constB10, bitIndex0)), introduced(assumption)).
% 48.18/31.31 tff(2911,plain,
% 48.18/31.31 ((~v129(constB10, bitIndex0)) | (~v100(constB10))),
% 48.18/31.31 inference(unit_resolution,[status(thm)],[1768, 1088, 2910])).
% 48.18/31.31 tff(2912,plain,
% 48.18/31.31 (~v129(constB10, bitIndex0)),
% 48.18/31.31 inference(unit_resolution,[status(thm)],[2911, 2909])).
% 48.18/31.31 tff(2913,plain,
% 48.18/31.31 (~v127(constB9, bitIndex0)),
% 48.18/31.31 inference(unit_resolution,[status(thm)],[1761, 2912])).
% 48.18/31.31 tff(2914,plain,
% 48.18/31.31 (~v130(constB9, bitIndex0)),
% 48.18/31.31 inference(unit_resolution,[status(thm)],[1756, 2913])).
% 48.18/31.31 tff(2915,plain,
% 48.18/31.31 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex0) | (~v122(VarCurr))) <=> (v90(VarCurr, bitIndex0) | (~v122(VarCurr))))),
% 48.18/31.31 inference(bind,[status(th)],[])).
% 48.18/31.31 tff(2916,plain,
% 48.18/31.31 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))),
% 48.18/31.31 inference(quant_intro,[status(thm)],[2915])).
% 48.18/31.31 tff(2917,plain,
% 48.18/31.31 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))),
% 48.18/31.31 inference(rewrite,[status(thm)],[])).
% 48.18/31.31 tff(2918,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_3')).
% 48.18/31.31 tff(2919,plain,
% 48.18/31.31 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))),
% 48.18/31.31 inference(modus_ponens,[status(thm)],[2918, 2917])).
% 48.18/31.31 tff(2920,plain,(
% 48.18/31.31 ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))),
% 48.18/31.31 inference(skolemize,[status(sab)],[2919])).
% 48.18/31.31 tff(2921,plain,
% 48.18/31.31 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))),
% 48.18/31.31 inference(modus_ponens,[status(thm)],[2920, 2916])).
% 48.18/31.31 tff(2922,plain,
% 48.18/31.31 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB9, bitIndex0) | (~v122(constB9)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB9, bitIndex0) | (~v122(constB9)))),
% 48.18/31.31 inference(rewrite,[status(thm)],[])).
% 48.18/31.31 tff(2923,plain,
% 48.18/31.31 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB9, bitIndex0) | (~v122(constB9)))),
% 48.18/31.31 inference(quant_inst,[status(thm)],[])).
% 48.18/31.31 tff(2924,plain,
% 48.18/31.31 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB9, bitIndex0) | (~v122(constB9))),
% 48.18/31.31 inference(modus_ponens,[status(thm)],[2923, 2922])).
% 48.18/31.31 tff(2925,plain,
% 48.18/31.31 (~v122(constB9)),
% 48.18/31.31 inference(unit_resolution,[status(thm)],[2924, 2921, 2883])).
% 48.18/31.31 tff(2926,plain,
% 48.18/31.31 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex0) | (~v124(VarCurr))) <=> (v90(VarCurr, bitIndex0) | (~v124(VarCurr))))),
% 48.18/31.31 inference(bind,[status(th)],[])).
% 48.18/31.31 tff(2927,plain,
% 48.18/31.31 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))),
% 48.18/31.31 inference(quant_intro,[status(thm)],[2926])).
% 48.18/31.31 tff(2928,plain,
% 48.18/31.31 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))),
% 48.18/31.31 inference(rewrite,[status(thm)],[])).
% 48.18/31.31 tff(2929,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_3')).
% 48.18/31.31 tff(2930,plain,
% 48.18/31.31 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))),
% 48.18/31.31 inference(modus_ponens,[status(thm)],[2929, 2928])).
% 48.18/31.31 tff(2931,plain,(
% 48.18/31.31 ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))),
% 48.18/31.31 inference(skolemize,[status(sab)],[2930])).
% 48.18/31.31 tff(2932,plain,
% 48.18/31.31 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))),
% 48.18/31.31 inference(modus_ponens,[status(thm)],[2931, 2927])).
% 48.18/31.31 tff(2933,plain,
% 48.18/31.31 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB9, bitIndex0) | (~v124(constB9)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB9, bitIndex0) | (~v124(constB9)))),
% 48.18/31.31 inference(rewrite,[status(thm)],[])).
% 48.18/31.31 tff(2934,plain,
% 48.18/31.31 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB9, bitIndex0) | (~v124(constB9)))),
% 48.18/31.31 inference(quant_inst,[status(thm)],[])).
% 48.18/31.31 tff(2935,plain,
% 48.18/31.31 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB9, bitIndex0) | (~v124(constB9))),
% 48.18/31.31 inference(modus_ponens,[status(thm)],[2934, 2933])).
% 48.18/31.31 tff(2936,plain,
% 48.18/31.31 (~v124(constB9)),
% 48.18/31.31 inference(unit_resolution,[status(thm)],[2935, 2932, 2883])).
% 48.18/31.31 tff(2937,plain,
% 48.18/31.31 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex0) | (~v120(VarCurr))) <=> (v90(VarCurr, bitIndex0) | (~v120(VarCurr))))),
% 48.18/31.31 inference(bind,[status(th)],[])).
% 48.18/31.31 tff(2938,plain,
% 48.18/31.31 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))),
% 48.18/31.31 inference(quant_intro,[status(thm)],[2937])).
% 48.18/31.31 tff(2939,plain,
% 48.18/31.31 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))),
% 48.18/31.31 inference(rewrite,[status(thm)],[])).
% 48.18/31.31 tff(2940,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3_1_1_2')).
% 48.18/31.31 tff(2941,plain,
% 48.18/31.31 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))),
% 48.18/31.31 inference(modus_ponens,[status(thm)],[2940, 2939])).
% 48.18/31.31 tff(2942,plain,(
% 48.18/31.31 ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))),
% 48.18/31.31 inference(skolemize,[status(sab)],[2941])).
% 48.18/31.31 tff(2943,plain,
% 48.18/31.31 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))),
% 48.18/31.31 inference(modus_ponens,[status(thm)],[2942, 2938])).
% 48.18/31.31 tff(2944,plain,
% 48.18/31.31 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB9, bitIndex0) | (~v120(constB9)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB9, bitIndex0) | (~v120(constB9)))),
% 48.18/31.31 inference(rewrite,[status(thm)],[])).
% 48.18/31.31 tff(2945,plain,
% 48.18/31.31 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB9, bitIndex0) | (~v120(constB9)))),
% 48.18/31.31 inference(quant_inst,[status(thm)],[])).
% 48.18/31.31 tff(2946,plain,
% 48.18/31.31 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB9, bitIndex0) | (~v120(constB9))),
% 48.18/31.31 inference(modus_ponens,[status(thm)],[2945, 2944])).
% 48.18/31.31 tff(2947,plain,
% 48.18/31.31 (~v120(constB9)),
% 48.18/31.31 inference(unit_resolution,[status(thm)],[2946, 2943, 2883])).
% 48.18/31.31 tff(2948,plain,
% 48.18/31.31 (((~![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)))),
% 48.18/31.31 inference(rewrite,[status(thm)],[])).
% 48.18/31.31 tff(2949,plain,
% 48.18/31.31 ((v90(constB10, bitIndex2) | (~v100(constB10)) | (~v129(constB10, bitIndex2))) <=> (v90(constB10, bitIndex2) | (~v129(constB10, bitIndex2)) | (~v100(constB10)))),
% 48.18/31.31 inference(rewrite,[status(thm)],[])).
% 48.18/31.31 tff(2950,plain,
% 48.18/31.31 (((~![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))))),
% 48.18/31.31 inference(monotonicity,[status(thm)],[2949])).
% 48.18/31.31 tff(2951,plain,
% 48.18/31.31 (((~![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)))),
% 48.18/31.31 inference(transitivity,[status(thm)],[2950, 2948])).
% 48.18/31.31 tff(2952,plain,
% 48.18/31.31 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB10, bitIndex2) | (~v100(constB10)) | (~v129(constB10, bitIndex2)))),
% 48.18/31.31 inference(quant_inst,[status(thm)],[])).
% 48.18/31.31 tff(2953,plain,
% 48.18/31.31 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB10, bitIndex2) | (~v129(constB10, bitIndex2)) | (~v100(constB10))),
% 48.18/31.31 inference(modus_ponens,[status(thm)],[2952, 2951])).
% 48.18/31.31 tff(2954,plain,
% 48.18/31.31 ((~v129(constB10, bitIndex2)) | (~v100(constB10))),
% 48.18/31.31 inference(unit_resolution,[status(thm)],[2953, 381, 2858])).
% 48.18/31.31 tff(2955,plain,
% 48.18/31.31 (~v129(constB10, bitIndex2)),
% 48.18/31.31 inference(unit_resolution,[status(thm)],[2954, 2909])).
% 48.18/31.31 tff(2956,plain,
% 48.18/31.31 (((~![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))),
% 48.18/31.31 inference(rewrite,[status(thm)],[])).
% 48.18/31.31 tff(2957,plain,
% 48.18/31.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB9, constB10)) | (~v127(constB9, bitIndex2)) | v129(constB10, bitIndex2))),
% 48.18/31.31 inference(quant_inst,[status(thm)],[])).
% 48.18/31.31 tff(2958,plain,
% 48.18/31.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB9, constB10)) | (~v127(constB9, bitIndex2)) | v129(constB10, bitIndex2)),
% 48.18/31.31 inference(modus_ponens,[status(thm)],[2957, 2956])).
% 48.18/31.31 tff(2959,plain,
% 48.18/31.31 ((~v127(constB9, bitIndex2)) | v129(constB10, bitIndex2)),
% 48.18/31.31 inference(unit_resolution,[status(thm)],[2958, 366, 1601])).
% 48.18/31.31 tff(2960,plain,
% 48.18/31.31 (~v127(constB9, bitIndex2)),
% 48.18/31.31 inference(unit_resolution,[status(thm)],[2959, 2955])).
% 48.18/31.31 tff(2961,plain,
% 48.18/31.31 (((~![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))),
% 48.18/31.31 inference(rewrite,[status(thm)],[])).
% 48.18/31.31 tff(2962,plain,
% 48.18/31.31 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB9) | (~v130(constB9, bitIndex2)) | v127(constB9, bitIndex2))),
% 48.18/31.31 inference(quant_inst,[status(thm)],[])).
% 48.18/31.31 tff(2963,plain,
% 48.18/31.31 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB9) | (~v130(constB9, bitIndex2)) | v127(constB9, bitIndex2)),
% 48.18/31.31 inference(modus_ponens,[status(thm)],[2962, 2961])).
% 48.18/31.31 tff(2964,plain,
% 48.18/31.31 ((~v130(constB9, bitIndex2)) | v127(constB9, bitIndex2)),
% 48.18/31.31 inference(unit_resolution,[status(thm)],[2963, 351, 1586])).
% 48.18/31.31 tff(2965,plain,
% 48.18/31.31 (~v130(constB9, bitIndex2)),
% 48.18/31.31 inference(unit_resolution,[status(thm)],[2964, 2960])).
% 48.18/31.31 tff(2966,assumption,(~v130(constB9, bitIndex0)), introduced(assumption)).
% 48.18/31.31 tff(2967,assumption,(~v121(constB9)), introduced(assumption)).
% 48.18/31.31 tff(2968,assumption,(~v130(constB9, bitIndex2)), introduced(assumption)).
% 48.18/31.31 tff(2969,plain,
% 48.18/31.31 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB9)) | v130(constB9, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB9)) | v130(constB9, bitIndex2))),
% 48.18/31.31 inference(rewrite,[status(thm)],[])).
% 48.18/31.31 tff(2970,plain,
% 48.18/31.31 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB9)) | v130(constB9, bitIndex2))),
% 48.18/31.31 inference(quant_inst,[status(thm)],[])).
% 48.18/31.31 tff(2971,plain,
% 48.18/31.31 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB9)) | v130(constB9, bitIndex2)),
% 48.18/31.31 inference(modus_ponens,[status(thm)],[2970, 2969])).
% 48.18/31.31 tff(2972,plain,
% 48.18/31.31 (~v123(constB9)),
% 48.18/31.31 inference(unit_resolution,[status(thm)],[2971, 836, 2968])).
% 48.18/31.31 tff(2973,plain,
% 48.18/31.31 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB9)) | v130(constB9, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB9)) | v130(constB9, bitIndex2))),
% 48.18/31.31 inference(rewrite,[status(thm)],[])).
% 48.18/31.31 tff(2974,plain,
% 48.18/31.31 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB9)) | v130(constB9, bitIndex2))),
% 48.18/31.31 inference(quant_inst,[status(thm)],[])).
% 48.18/31.31 tff(2975,plain,
% 48.18/31.31 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB9)) | v130(constB9, bitIndex2)),
% 48.27/31.31 inference(modus_ponens,[status(thm)],[2974, 2973])).
% 48.27/31.31 tff(2976,plain,
% 48.27/31.31 (~v119(constB9)),
% 48.27/31.31 inference(unit_resolution,[status(thm)],[2975, 337, 2968])).
% 48.27/31.31 tff(2977,assumption,(~v120(constB9)), introduced(assumption)).
% 48.27/31.31 tff(2978,assumption,(~v122(constB9)), introduced(assumption)).
% 48.27/31.31 tff(2979,assumption,(~v124(constB9)), introduced(assumption)).
% 48.27/31.31 tff(2980,plain,
% 48.27/31.31 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB9) | v123(constB9) | v122(constB9) | v121(constB9) | v120(constB9) | v119(constB9) | v130(constB9, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB9) | v123(constB9) | v122(constB9) | v121(constB9) | v120(constB9) | v119(constB9) | v130(constB9, bitIndex0))),
% 48.27/31.31 inference(rewrite,[status(thm)],[])).
% 48.27/31.31 tff(2981,plain,
% 48.27/31.31 ((v120(constB9) | v119(constB9) | v121(constB9) | v122(constB9) | v123(constB9) | v124(constB9) | v130(constB9, bitIndex0)) <=> (v124(constB9) | v123(constB9) | v122(constB9) | v121(constB9) | v120(constB9) | v119(constB9) | v130(constB9, bitIndex0))),
% 48.27/31.31 inference(rewrite,[status(thm)],[])).
% 48.27/31.31 tff(2982,plain,
% 48.27/31.31 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB9) | v119(constB9) | v121(constB9) | v122(constB9) | v123(constB9) | v124(constB9) | v130(constB9, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB9) | v123(constB9) | v122(constB9) | v121(constB9) | v120(constB9) | v119(constB9) | v130(constB9, bitIndex0)))),
% 48.27/31.31 inference(monotonicity,[status(thm)],[2981])).
% 48.27/31.31 tff(2983,plain,
% 48.27/31.31 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB9) | v119(constB9) | v121(constB9) | v122(constB9) | v123(constB9) | v124(constB9) | v130(constB9, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB9) | v123(constB9) | v122(constB9) | v121(constB9) | v120(constB9) | v119(constB9) | v130(constB9, bitIndex0))),
% 48.27/31.31 inference(transitivity,[status(thm)],[2982, 2980])).
% 48.27/31.31 tff(2984,plain,
% 48.27/31.31 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB9) | v119(constB9) | v121(constB9) | v122(constB9) | v123(constB9) | v124(constB9) | v130(constB9, bitIndex0))),
% 48.27/31.31 inference(quant_inst,[status(thm)],[])).
% 48.27/31.31 tff(2985,plain,
% 48.27/31.31 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB9) | v123(constB9) | v122(constB9) | v121(constB9) | v120(constB9) | v119(constB9) | v130(constB9, bitIndex0)),
% 48.27/31.31 inference(modus_ponens,[status(thm)],[2984, 2983])).
% 48.27/31.31 tff(2986,plain,
% 48.27/31.31 (v123(constB9) | v121(constB9) | v119(constB9) | v130(constB9, bitIndex0)),
% 48.27/31.31 inference(unit_resolution,[status(thm)],[2985, 908, 2979, 2978, 2977])).
% 48.27/31.31 tff(2987,plain,
% 48.27/31.31 ($false),
% 48.27/31.31 inference(unit_resolution,[status(thm)],[2986, 2976, 2972, 2967, 2966])).
% 48.27/31.31 tff(2988,plain,(v130(constB9, bitIndex2) | v121(constB9) | v130(constB9, bitIndex0) | v124(constB9) | v122(constB9) | v120(constB9)), inference(lemma,lemma(discharge,[]))).
% 48.27/31.31 tff(2989,plain,
% 48.27/31.31 (v121(constB9)),
% 48.27/31.31 inference(unit_resolution,[status(thm)],[2988, 2965, 2947, 2936, 2925, 2914])).
% 48.27/31.31 tff(2990,plain,
% 48.27/31.31 ($false),
% 48.27/31.31 inference(unit_resolution,[status(thm)],[1751, 1748, 2989, 2914])).
% 48.27/31.31 tff(2991,plain,(v90(constB9, bitIndex0) | v90(constB10, bitIndex2) | v90(constB10, bitIndex0) | v90(constB10, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 48.27/31.31 tff(2992,plain,
% 48.27/31.31 (v90(constB9, bitIndex0)),
% 48.27/31.31 inference(unit_resolution,[status(thm)],[2991, 2859, 2910, 2858])).
% 48.27/31.31 tff(2993,plain,
% 48.27/31.31 (((~![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))),
% 48.27/31.31 inference(rewrite,[status(thm)],[])).
% 48.27/31.31 tff(2994,plain,
% 48.27/31.31 (((~nextState(constB9, constB10)) | (~v90(constB9, bitIndex0)) | v100(constB10) | v90(constB10, bitIndex0)) <=> ((~v90(constB9, bitIndex0)) | (~nextState(constB9, constB10)) | v100(constB10) | v90(constB10, bitIndex0))),
% 48.27/31.31 inference(rewrite,[status(thm)],[])).
% 48.27/31.31 tff(2995,plain,
% 48.27/31.31 (((~![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)))),
% 48.27/31.31 inference(monotonicity,[status(thm)],[2994])).
% 48.27/31.31 tff(2996,plain,
% 48.27/31.31 (((~![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))),
% 48.27/31.31 inference(transitivity,[status(thm)],[2995, 2993])).
% 48.27/31.31 tff(2997,plain,
% 48.27/31.31 ((~![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))),
% 48.27/31.31 inference(quant_inst,[status(thm)],[])).
% 48.27/31.31 tff(2998,plain,
% 48.27/31.31 ((~![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)),
% 48.27/31.31 inference(modus_ponens,[status(thm)],[2997, 2996])).
% 48.27/31.31 tff(2999,plain,
% 48.27/31.31 ((~v90(constB9, bitIndex0)) | v100(constB10) | v90(constB10, bitIndex0)),
% 48.27/31.31 inference(unit_resolution,[status(thm)],[2998, 1124, 1601])).
% 48.27/31.31 tff(3000,plain,
% 48.27/31.31 (v100(constB10)),
% 48.27/31.31 inference(unit_resolution,[status(thm)],[2999, 2992, 2910])).
% 48.27/31.31 tff(3001,plain,
% 48.27/31.31 (~v129(constB10, bitIndex0)),
% 48.27/31.31 inference(unit_resolution,[status(thm)],[2911, 3000])).
% 48.27/31.31 tff(3002,plain,
% 48.27/31.31 (~v127(constB9, bitIndex0)),
% 48.27/31.31 inference(unit_resolution,[status(thm)],[1761, 3001])).
% 48.27/31.31 tff(3003,plain,
% 48.27/31.31 (~v130(constB9, bitIndex0)),
% 48.27/31.31 inference(unit_resolution,[status(thm)],[1756, 3002])).
% 48.27/31.31 tff(3004,plain,
% 48.27/31.31 (~v129(constB10, bitIndex2)),
% 48.27/31.31 inference(unit_resolution,[status(thm)],[2954, 3000])).
% 48.27/31.31 tff(3005,plain,
% 48.27/31.31 (~v127(constB9, bitIndex2)),
% 48.27/31.31 inference(unit_resolution,[status(thm)],[2959, 3004])).
% 48.27/31.31 tff(3006,plain,
% 48.27/31.31 (~v130(constB9, bitIndex2)),
% 48.27/31.31 inference(unit_resolution,[status(thm)],[2964, 3005])).
% 48.27/31.31 tff(3007,plain,
% 48.27/31.31 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB9)) | v130(constB9, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB9)) | v130(constB9, bitIndex2))),
% 48.27/31.31 inference(rewrite,[status(thm)],[])).
% 48.27/31.31 tff(3008,plain,
% 48.27/31.31 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB9)) | v130(constB9, bitIndex2))),
% 48.27/31.31 inference(quant_inst,[status(thm)],[])).
% 48.27/31.31 tff(3009,plain,
% 48.27/31.31 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB9)) | v130(constB9, bitIndex2)),
% 48.27/31.31 inference(modus_ponens,[status(thm)],[3008, 3007])).
% 48.27/31.31 tff(3010,plain,
% 48.27/31.31 (~v122(constB9)),
% 48.27/31.31 inference(unit_resolution,[status(thm)],[3009, 1876, 3006])).
% 48.27/31.31 tff(3011,plain,
% 48.27/31.31 (^[VarCurr: $i] : refl(((~v124(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ((~v124(VarCurr)) | v130(VarCurr, bitIndex0)))),
% 48.27/31.31 inference(bind,[status(th)],[])).
% 48.27/31.31 tff(3012,plain,
% 48.27/31.31 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))),
% 48.27/31.31 inference(quant_intro,[status(thm)],[3011])).
% 48.27/31.31 tff(3013,plain,
% 48.27/31.31 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))),
% 48.27/31.31 inference(rewrite,[status(thm)],[])).
% 48.27/31.31 tff(3014,plain,
% 48.27/31.31 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex0) | (~v124(VarCurr))) <=> ((~v124(VarCurr)) | v130(VarCurr, bitIndex0)))),
% 48.27/31.31 inference(bind,[status(th)],[])).
% 48.27/31.31 tff(3015,plain,
% 48.27/31.31 (![VarCurr: $i] : (v130(VarCurr, bitIndex0) | (~v124(VarCurr))) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))),
% 48.27/31.31 inference(quant_intro,[status(thm)],[3014])).
% 48.27/31.31 tff(3016,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex0) | (~v124(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5_1_1')).
% 48.27/31.31 tff(3017,plain,
% 48.27/31.31 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))),
% 48.27/31.31 inference(modus_ponens,[status(thm)],[3016, 3015])).
% 48.27/31.31 tff(3018,plain,
% 48.27/31.31 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))),
% 48.27/31.31 inference(modus_ponens,[status(thm)],[3017, 3013])).
% 48.27/31.31 tff(3019,plain,(
% 48.27/31.31 ![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))),
% 48.27/31.31 inference(skolemize,[status(sab)],[3018])).
% 48.27/31.31 tff(3020,plain,
% 48.27/31.31 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))),
% 48.27/31.31 inference(modus_ponens,[status(thm)],[3019, 3012])).
% 48.27/31.31 tff(3021,plain,
% 48.27/31.31 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB9)) | v130(constB9, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB9)) | v130(constB9, bitIndex0))),
% 48.27/31.31 inference(rewrite,[status(thm)],[])).
% 48.27/31.31 tff(3022,plain,
% 48.27/31.31 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB9)) | v130(constB9, bitIndex0))),
% 48.27/31.31 inference(quant_inst,[status(thm)],[])).
% 48.27/31.31 tff(3023,plain,
% 48.27/31.31 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB9)) | v130(constB9, bitIndex0)),
% 48.27/31.31 inference(modus_ponens,[status(thm)],[3022, 3021])).
% 48.27/31.31 tff(3024,plain,
% 48.27/31.31 (~v124(constB9)),
% 48.27/31.31 inference(unit_resolution,[status(thm)],[3023, 3020, 3003])).
% 48.27/31.31 tff(3025,plain,
% 48.27/31.31 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr))) <=> ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr))))),
% 48.27/31.31 inference(bind,[status(th)],[])).
% 48.27/31.31 tff(3026,plain,
% 48.27/31.31 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))),
% 48.27/31.31 inference(quant_intro,[status(thm)],[3025])).
% 48.27/31.31 tff(3027,plain,
% 48.27/31.31 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))),
% 48.27/31.31 inference(rewrite,[status(thm)],[])).
% 48.27/31.31 tff(3028,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_4')).
% 48.27/31.31 tff(3029,plain,
% 48.27/31.31 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))),
% 48.27/31.31 inference(modus_ponens,[status(thm)],[3028, 3027])).
% 48.27/31.31 tff(3030,plain,(
% 48.27/31.31 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))),
% 48.27/31.31 inference(skolemize,[status(sab)],[3029])).
% 48.27/31.31 tff(3031,plain,
% 48.27/31.31 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))),
% 48.27/31.31 inference(modus_ponens,[status(thm)],[3030, 3026])).
% 48.27/31.31 tff(3032,plain,
% 48.27/31.31 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | ((~v90(constB9, bitIndex0)) | (~v121(constB9)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | (~v90(constB9, bitIndex0)) | (~v121(constB9)))),
% 48.27/31.31 inference(rewrite,[status(thm)],[])).
% 48.27/31.31 tff(3033,plain,
% 48.27/31.31 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | ((~v90(constB9, bitIndex0)) | (~v121(constB9)))),
% 48.27/31.31 inference(quant_inst,[status(thm)],[])).
% 48.27/31.31 tff(3034,plain,
% 48.27/31.31 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | (~v90(constB9, bitIndex0)) | (~v121(constB9))),
% 48.27/31.31 inference(modus_ponens,[status(thm)],[3033, 3032])).
% 48.27/31.31 tff(3035,plain,
% 48.27/31.31 (~v121(constB9)),
% 48.27/31.31 inference(unit_resolution,[status(thm)],[3034, 3031, 2992])).
% 48.27/31.31 tff(3036,plain,
% 48.27/31.31 ((~v129(constB10, bitIndex1)) | (~v100(constB10))),
% 48.27/31.31 inference(unit_resolution,[status(thm)],[1727, 711, 2859])).
% 48.27/31.31 tff(3037,plain,
% 48.27/31.31 (~v129(constB10, bitIndex1)),
% 48.27/31.31 inference(unit_resolution,[status(thm)],[3036, 3000])).
% 48.27/31.31 tff(3038,plain,
% 48.27/31.31 (~v127(constB9, bitIndex1)),
% 48.27/31.31 inference(unit_resolution,[status(thm)],[1720, 3037])).
% 48.27/31.31 tff(3039,plain,
% 48.27/31.31 (~v130(constB9, bitIndex1)),
% 48.27/31.31 inference(unit_resolution,[status(thm)],[1715, 3038])).
% 48.27/31.31 tff(3040,plain,
% 48.27/31.31 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB9)) | v130(constB9, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB9)) | v130(constB9, bitIndex1))),
% 48.27/31.31 inference(rewrite,[status(thm)],[])).
% 48.27/31.31 tff(3041,plain,
% 48.27/31.31 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB9)) | v130(constB9, bitIndex1))),
% 48.27/31.31 inference(quant_inst,[status(thm)],[])).
% 48.27/31.31 tff(3042,plain,
% 48.27/31.31 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB9)) | v130(constB9, bitIndex1)),
% 48.27/31.31 inference(modus_ponens,[status(thm)],[3041, 3040])).
% 48.27/31.31 tff(3043,plain,
% 48.27/31.31 (~v120(constB9)),
% 48.27/31.31 inference(unit_resolution,[status(thm)],[3042, 1450, 3039])).
% 48.27/31.31 tff(3044,plain,
% 48.27/31.31 ($false),
% 48.27/31.31 inference(unit_resolution,[status(thm)],[2988, 3043, 3035, 3006, 3024, 3010, 3003])).
% 48.27/31.31 tff(3045,plain,(v90(constB10, bitIndex1) | v90(constB10, bitIndex2) | v90(constB10, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 48.27/31.31 tff(3046,plain,
% 48.27/31.31 (v90(constB10, bitIndex0)),
% 48.27/31.31 inference(unit_resolution,[status(thm)],[3045, 2859, 2858])).
% 48.27/31.31 tff(3047,plain,
% 48.27/31.31 (((~![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)))),
% 48.27/31.31 inference(rewrite,[status(thm)],[])).
% 48.27/31.31 tff(3048,plain,
% 48.27/31.31 (((~v90(constB10, bitIndex0)) | (~v100(constB10)) | v129(constB10, bitIndex0)) <=> ((~v90(constB10, bitIndex0)) | v129(constB10, bitIndex0) | (~v100(constB10)))),
% 48.27/31.31 inference(rewrite,[status(thm)],[])).
% 48.27/31.31 tff(3049,plain,
% 48.27/31.31 (((~![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))))),
% 48.27/31.31 inference(monotonicity,[status(thm)],[3048])).
% 48.27/31.31 tff(3050,plain,
% 48.27/31.31 (((~![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)))),
% 48.27/31.31 inference(transitivity,[status(thm)],[3049, 3047])).
% 48.27/31.31 tff(3051,plain,
% 48.27/31.31 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB10, bitIndex0)) | (~v100(constB10)) | v129(constB10, bitIndex0))),
% 48.27/31.31 inference(quant_inst,[status(thm)],[])).
% 48.27/31.31 tff(3052,plain,
% 48.27/31.31 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB10, bitIndex0)) | v129(constB10, bitIndex0) | (~v100(constB10))),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3051, 3050])).
% 48.27/31.32 tff(3053,plain,
% 48.27/31.32 (v129(constB10, bitIndex0) | (~v100(constB10))),
% 48.27/31.32 inference(unit_resolution,[status(thm)],[3052, 557, 3046])).
% 48.27/31.32 tff(3054,plain,
% 48.27/31.32 (v129(constB10, bitIndex0)),
% 48.27/31.32 inference(unit_resolution,[status(thm)],[3053, 2909])).
% 48.27/31.32 tff(3055,plain,
% 48.27/31.32 (((~![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)))),
% 48.27/31.32 inference(rewrite,[status(thm)],[])).
% 48.27/31.32 tff(3056,plain,
% 48.27/31.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB9, constB10)) | v127(constB9, bitIndex0) | (~v129(constB10, bitIndex0)))),
% 48.27/31.32 inference(quant_inst,[status(thm)],[])).
% 48.27/31.32 tff(3057,plain,
% 48.27/31.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB9, constB10)) | v127(constB9, bitIndex0) | (~v129(constB10, bitIndex0))),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3056, 3055])).
% 48.27/31.32 tff(3058,plain,
% 48.27/31.32 (v127(constB9, bitIndex0) | (~v129(constB10, bitIndex0))),
% 48.27/31.32 inference(unit_resolution,[status(thm)],[3057, 542, 1601])).
% 48.27/31.32 tff(3059,plain,
% 48.27/31.32 (v127(constB9, bitIndex0)),
% 48.27/31.32 inference(unit_resolution,[status(thm)],[3058, 3054])).
% 48.27/31.32 tff(3060,plain,
% 48.27/31.32 (((~![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))),
% 48.27/31.32 inference(rewrite,[status(thm)],[])).
% 48.27/31.32 tff(3061,plain,
% 48.27/31.32 ((v26(constB9) | v130(constB9, bitIndex0) | (~v127(constB9, bitIndex0))) <=> ((~v127(constB9, bitIndex0)) | v26(constB9) | v130(constB9, bitIndex0))),
% 48.27/31.32 inference(rewrite,[status(thm)],[])).
% 48.27/31.32 tff(3062,plain,
% 48.27/31.32 (((~![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)))),
% 48.27/31.32 inference(monotonicity,[status(thm)],[3061])).
% 48.27/31.32 tff(3063,plain,
% 48.27/31.32 (((~![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))),
% 48.27/31.32 inference(transitivity,[status(thm)],[3062, 3060])).
% 48.27/31.32 tff(3064,plain,
% 48.27/31.32 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB9) | v130(constB9, bitIndex0) | (~v127(constB9, bitIndex0)))),
% 48.27/31.32 inference(quant_inst,[status(thm)],[])).
% 48.27/31.32 tff(3065,plain,
% 48.27/31.32 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB9, bitIndex0)) | v26(constB9) | v130(constB9, bitIndex0)),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3064, 3063])).
% 48.27/31.32 tff(3066,plain,
% 48.27/31.32 ((~v127(constB9, bitIndex0)) | v130(constB9, bitIndex0)),
% 48.27/31.32 inference(unit_resolution,[status(thm)],[3065, 524, 1586])).
% 48.27/31.32 tff(3067,plain,
% 48.27/31.32 (v130(constB9, bitIndex0)),
% 48.27/31.32 inference(unit_resolution,[status(thm)],[3066, 3059])).
% 48.27/31.32 tff(3068,plain,
% 48.27/31.32 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB9)) | (~v130(constB9, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB9)) | (~v130(constB9, bitIndex0)))),
% 48.27/31.32 inference(rewrite,[status(thm)],[])).
% 48.27/31.32 tff(3069,plain,
% 48.27/31.32 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB9)) | (~v130(constB9, bitIndex0)))),
% 48.27/31.32 inference(quant_inst,[status(thm)],[])).
% 48.27/31.32 tff(3070,plain,
% 48.27/31.32 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB9)) | (~v130(constB9, bitIndex0))),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3069, 3068])).
% 48.27/31.32 tff(3071,plain,
% 48.27/31.32 (~v119(constB9)),
% 48.27/31.32 inference(unit_resolution,[status(thm)],[3070, 510, 3067])).
% 48.27/31.32 tff(3072,plain,
% 48.27/31.32 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB9)) | (~v130(constB9, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB9)) | (~v130(constB9, bitIndex0)))),
% 48.27/31.32 inference(rewrite,[status(thm)],[])).
% 48.27/31.32 tff(3073,plain,
% 48.27/31.32 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB9)) | (~v130(constB9, bitIndex0)))),
% 48.27/31.32 inference(quant_inst,[status(thm)],[])).
% 48.27/31.32 tff(3074,plain,
% 48.27/31.32 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB9)) | (~v130(constB9, bitIndex0))),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3073, 3072])).
% 48.27/31.32 tff(3075,plain,
% 48.27/31.32 (~v120(constB9)),
% 48.27/31.32 inference(unit_resolution,[status(thm)],[3074, 1492, 3067])).
% 48.27/31.32 tff(3076,plain,
% 48.27/31.32 (^[VarCurr: $i] : refl((v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr))) <=> (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr))))),
% 48.27/31.32 inference(bind,[status(th)],[])).
% 48.27/31.32 tff(3077,plain,
% 48.27/31.32 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr))) <=> ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))),
% 48.27/31.32 inference(quant_intro,[status(thm)],[3076])).
% 48.27/31.32 tff(3078,plain,
% 48.27/31.32 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr))) <=> ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))),
% 48.27/31.32 inference(rewrite,[status(thm)],[])).
% 48.27/31.32 tff(3079,plain,
% 48.27/31.32 (^[VarCurr: $i] : trans(monotonicity(rewrite((v120(VarCurr) | v119(VarCurr)) <=> (v120(VarCurr) | v119(VarCurr))), (((v120(VarCurr) | v119(VarCurr)) | (~v118(VarCurr))) <=> ((v120(VarCurr) | v119(VarCurr)) | (~v118(VarCurr))))), rewrite(((v120(VarCurr) | v119(VarCurr)) | (~v118(VarCurr))) <=> (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))), (((v120(VarCurr) | v119(VarCurr)) | (~v118(VarCurr))) <=> (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))))),
% 48.27/31.32 inference(bind,[status(th)],[])).
% 48.27/31.32 tff(3080,plain,
% 48.27/31.32 (![VarCurr: $i] : ((v120(VarCurr) | v119(VarCurr)) | (~v118(VarCurr))) <=> ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))),
% 48.27/31.32 inference(quant_intro,[status(thm)],[3079])).
% 48.27/31.32 tff(3081,axiom,(![VarCurr: $i] : ((v120(VarCurr) | v119(VarCurr)) | (~v118(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_19_1_3')).
% 48.27/31.32 tff(3082,plain,
% 48.27/31.32 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3081, 3080])).
% 48.27/31.32 tff(3083,plain,
% 48.27/31.32 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3082, 3078])).
% 48.27/31.32 tff(3084,plain,(
% 48.27/31.32 ![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))),
% 48.27/31.32 inference(skolemize,[status(sab)],[3083])).
% 48.27/31.32 tff(3085,plain,
% 48.27/31.32 (![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3084, 3077])).
% 48.27/31.32 tff(3086,plain,
% 48.27/31.32 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))) | (v120(constB9) | v119(constB9) | (~v118(constB9)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))) | v120(constB9) | v119(constB9) | (~v118(constB9)))),
% 48.27/31.32 inference(rewrite,[status(thm)],[])).
% 48.27/31.32 tff(3087,plain,
% 48.27/31.32 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))) | (v120(constB9) | v119(constB9) | (~v118(constB9)))),
% 48.27/31.32 inference(quant_inst,[status(thm)],[])).
% 48.27/31.32 tff(3088,plain,
% 48.27/31.32 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))) | v120(constB9) | v119(constB9) | (~v118(constB9))),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3087, 3086])).
% 48.27/31.32 tff(3089,plain,
% 48.27/31.32 (~v118(constB9)),
% 48.27/31.32 inference(unit_resolution,[status(thm)],[3088, 3085, 3075, 3071])).
% 48.27/31.32 tff(3090,plain,
% 48.27/31.32 (~v129(constB10, bitIndex1)),
% 48.27/31.32 inference(unit_resolution,[status(thm)],[3036, 2909])).
% 48.27/31.32 tff(3091,plain,
% 48.27/31.32 (~v127(constB9, bitIndex1)),
% 48.27/31.32 inference(unit_resolution,[status(thm)],[1720, 3090])).
% 48.27/31.32 tff(3092,plain,
% 48.27/31.32 (~v130(constB9, bitIndex1)),
% 48.27/31.32 inference(unit_resolution,[status(thm)],[1715, 3091])).
% 48.27/31.32 tff(3093,plain,
% 48.27/31.32 (~v121(constB9)),
% 48.27/31.32 inference(unit_resolution,[status(thm)],[1710, 1707, 3092])).
% 48.27/31.32 tff(3094,plain,
% 48.27/31.32 (^[VarCurr: $i] : refl((v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr))) <=> (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr))))),
% 48.27/31.32 inference(bind,[status(th)],[])).
% 48.27/31.32 tff(3095,plain,
% 48.27/31.32 (![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr))) <=> ![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 48.27/31.32 inference(quant_intro,[status(thm)],[3094])).
% 48.27/31.32 tff(3096,plain,
% 48.27/31.32 (![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr))) <=> ![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 48.27/31.32 inference(rewrite,[status(thm)],[])).
% 48.27/31.32 tff(3097,plain,
% 48.27/31.32 (^[VarCurr: $i] : trans(monotonicity(rewrite((v121(VarCurr) | v118(VarCurr)) <=> (v118(VarCurr) | v121(VarCurr))), (((v121(VarCurr) | v118(VarCurr)) | (~v117(VarCurr))) <=> ((v118(VarCurr) | v121(VarCurr)) | (~v117(VarCurr))))), rewrite(((v118(VarCurr) | v121(VarCurr)) | (~v117(VarCurr))) <=> (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))), (((v121(VarCurr) | v118(VarCurr)) | (~v117(VarCurr))) <=> (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))))),
% 48.27/31.32 inference(bind,[status(th)],[])).
% 48.27/31.32 tff(3098,plain,
% 48.27/31.32 (![VarCurr: $i] : ((v121(VarCurr) | v118(VarCurr)) | (~v117(VarCurr))) <=> ![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 48.27/31.32 inference(quant_intro,[status(thm)],[3097])).
% 48.27/31.32 tff(3099,axiom,(![VarCurr: $i] : ((v121(VarCurr) | v118(VarCurr)) | (~v117(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_20_1_3')).
% 48.27/31.32 tff(3100,plain,
% 48.27/31.32 (![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3099, 3098])).
% 48.27/31.32 tff(3101,plain,
% 48.27/31.32 (![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3100, 3096])).
% 48.27/31.32 tff(3102,plain,(
% 48.27/31.32 ![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 48.27/31.32 inference(skolemize,[status(sab)],[3101])).
% 48.27/31.32 tff(3103,plain,
% 48.27/31.32 (![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3102, 3095])).
% 48.27/31.32 tff(3104,plain,
% 48.27/31.32 (((~![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | (v118(constB9) | v121(constB9) | (~v117(constB9)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | v118(constB9) | v121(constB9) | (~v117(constB9)))),
% 48.27/31.32 inference(rewrite,[status(thm)],[])).
% 48.27/31.32 tff(3105,plain,
% 48.27/31.32 ((~![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | (v118(constB9) | v121(constB9) | (~v117(constB9)))),
% 48.27/31.32 inference(quant_inst,[status(thm)],[])).
% 48.27/31.32 tff(3106,plain,
% 48.27/31.32 ((~![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | v118(constB9) | v121(constB9) | (~v117(constB9))),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3105, 3104])).
% 48.27/31.32 tff(3107,plain,
% 48.27/31.32 (~v117(constB9)),
% 48.27/31.32 inference(unit_resolution,[status(thm)],[3106, 3103, 3093, 3089])).
% 48.27/31.32 tff(3108,plain,
% 48.27/31.32 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB9)) | (~v130(constB9, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB9)) | (~v130(constB9, bitIndex0)))),
% 48.27/31.32 inference(rewrite,[status(thm)],[])).
% 48.27/31.32 tff(3109,plain,
% 48.27/31.32 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB9)) | (~v130(constB9, bitIndex0)))),
% 48.27/31.32 inference(quant_inst,[status(thm)],[])).
% 48.27/31.32 tff(3110,plain,
% 48.27/31.32 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB9)) | (~v130(constB9, bitIndex0))),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3109, 3108])).
% 48.27/31.32 tff(3111,plain,
% 48.27/31.32 (~v122(constB9)),
% 48.27/31.32 inference(unit_resolution,[status(thm)],[3110, 1997, 3067])).
% 48.27/31.32 tff(3112,plain,
% 48.27/31.32 (^[VarCurr: $i] : refl((v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr))) <=> (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr))))),
% 48.27/31.32 inference(bind,[status(th)],[])).
% 48.27/31.32 tff(3113,plain,
% 48.27/31.32 (![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr))) <=> ![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 48.27/31.32 inference(quant_intro,[status(thm)],[3112])).
% 48.27/31.32 tff(3114,plain,
% 48.27/31.32 (![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr))) <=> ![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 48.27/31.32 inference(rewrite,[status(thm)],[])).
% 48.27/31.32 tff(3115,plain,
% 48.27/31.32 (^[VarCurr: $i] : trans(monotonicity(rewrite((v122(VarCurr) | v117(VarCurr)) <=> (v117(VarCurr) | v122(VarCurr))), (((v122(VarCurr) | v117(VarCurr)) | (~v116(VarCurr))) <=> ((v117(VarCurr) | v122(VarCurr)) | (~v116(VarCurr))))), rewrite(((v117(VarCurr) | v122(VarCurr)) | (~v116(VarCurr))) <=> (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))), (((v122(VarCurr) | v117(VarCurr)) | (~v116(VarCurr))) <=> (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))))),
% 48.27/31.32 inference(bind,[status(th)],[])).
% 48.27/31.32 tff(3116,plain,
% 48.27/31.32 (![VarCurr: $i] : ((v122(VarCurr) | v117(VarCurr)) | (~v116(VarCurr))) <=> ![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 48.27/31.32 inference(quant_intro,[status(thm)],[3115])).
% 48.27/31.32 tff(3117,axiom,(![VarCurr: $i] : ((v122(VarCurr) | v117(VarCurr)) | (~v116(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_21_1_3')).
% 48.27/31.32 tff(3118,plain,
% 48.27/31.32 (![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3117, 3116])).
% 48.27/31.32 tff(3119,plain,
% 48.27/31.32 (![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3118, 3114])).
% 48.27/31.32 tff(3120,plain,(
% 48.27/31.32 ![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 48.27/31.32 inference(skolemize,[status(sab)],[3119])).
% 48.27/31.32 tff(3121,plain,
% 48.27/31.32 (![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3120, 3113])).
% 48.27/31.32 tff(3122,plain,
% 48.27/31.32 (((~![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | (v117(constB9) | v122(constB9) | (~v116(constB9)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | v117(constB9) | v122(constB9) | (~v116(constB9)))),
% 48.27/31.32 inference(rewrite,[status(thm)],[])).
% 48.27/31.32 tff(3123,plain,
% 48.27/31.32 ((~![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | (v117(constB9) | v122(constB9) | (~v116(constB9)))),
% 48.27/31.32 inference(quant_inst,[status(thm)],[])).
% 48.27/31.32 tff(3124,plain,
% 48.27/31.32 ((~![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | v117(constB9) | v122(constB9) | (~v116(constB9))),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3123, 3122])).
% 48.27/31.32 tff(3125,plain,
% 48.27/31.32 (v117(constB9) | (~v116(constB9))),
% 48.27/31.32 inference(unit_resolution,[status(thm)],[3124, 3121, 3111])).
% 48.27/31.32 tff(3126,plain,
% 48.27/31.32 (~v116(constB9)),
% 48.27/31.32 inference(unit_resolution,[status(thm)],[3125, 3107])).
% 48.27/31.32 tff(3127,plain,
% 48.27/31.32 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB9)) | (~v130(constB9, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB9)) | (~v130(constB9, bitIndex0)))),
% 48.27/31.32 inference(rewrite,[status(thm)],[])).
% 48.27/31.32 tff(3128,plain,
% 48.27/31.32 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB9)) | (~v130(constB9, bitIndex0)))),
% 48.27/31.32 inference(quant_inst,[status(thm)],[])).
% 48.27/31.32 tff(3129,plain,
% 48.27/31.32 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB9)) | (~v130(constB9, bitIndex0))),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3128, 3127])).
% 48.27/31.32 tff(3130,plain,
% 48.27/31.32 (~v123(constB9)),
% 48.27/31.32 inference(unit_resolution,[status(thm)],[3129, 975, 3067])).
% 48.27/31.32 tff(3131,plain,
% 48.27/31.32 (^[VarCurr: $i] : refl((v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr))) <=> (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr))))),
% 48.27/31.32 inference(bind,[status(th)],[])).
% 48.27/31.32 tff(3132,plain,
% 48.27/31.32 (![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr))) <=> ![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 48.27/31.32 inference(quant_intro,[status(thm)],[3131])).
% 48.27/31.32 tff(3133,plain,
% 48.27/31.32 (![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr))) <=> ![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 48.27/31.32 inference(rewrite,[status(thm)],[])).
% 48.27/31.32 tff(3134,plain,
% 48.27/31.32 (^[VarCurr: $i] : trans(monotonicity(rewrite((v123(VarCurr) | v116(VarCurr)) <=> (v116(VarCurr) | v123(VarCurr))), (((v123(VarCurr) | v116(VarCurr)) | (~v115(VarCurr))) <=> ((v116(VarCurr) | v123(VarCurr)) | (~v115(VarCurr))))), rewrite(((v116(VarCurr) | v123(VarCurr)) | (~v115(VarCurr))) <=> (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))), (((v123(VarCurr) | v116(VarCurr)) | (~v115(VarCurr))) <=> (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))))),
% 48.27/31.32 inference(bind,[status(th)],[])).
% 48.27/31.32 tff(3135,plain,
% 48.27/31.32 (![VarCurr: $i] : ((v123(VarCurr) | v116(VarCurr)) | (~v115(VarCurr))) <=> ![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 48.27/31.32 inference(quant_intro,[status(thm)],[3134])).
% 48.27/31.32 tff(3136,axiom,(![VarCurr: $i] : ((v123(VarCurr) | v116(VarCurr)) | (~v115(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_22_1_3')).
% 48.27/31.32 tff(3137,plain,
% 48.27/31.32 (![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3136, 3135])).
% 48.27/31.32 tff(3138,plain,
% 48.27/31.32 (![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3137, 3133])).
% 48.27/31.32 tff(3139,plain,(
% 48.27/31.32 ![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 48.27/31.32 inference(skolemize,[status(sab)],[3138])).
% 48.27/31.32 tff(3140,plain,
% 48.27/31.32 (![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3139, 3132])).
% 48.27/31.32 tff(3141,plain,
% 48.27/31.32 (((~![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | (v116(constB9) | v123(constB9) | (~v115(constB9)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | v116(constB9) | v123(constB9) | (~v115(constB9)))),
% 48.27/31.32 inference(rewrite,[status(thm)],[])).
% 48.27/31.32 tff(3142,plain,
% 48.27/31.32 ((~![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | (v116(constB9) | v123(constB9) | (~v115(constB9)))),
% 48.27/31.32 inference(quant_inst,[status(thm)],[])).
% 48.27/31.32 tff(3143,plain,
% 48.27/31.32 ((~![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | v116(constB9) | v123(constB9) | (~v115(constB9))),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3142, 3141])).
% 48.27/31.32 tff(3144,plain,
% 48.27/31.32 (v116(constB9) | (~v115(constB9))),
% 48.27/31.32 inference(unit_resolution,[status(thm)],[3143, 3140, 3130])).
% 48.27/31.32 tff(3145,plain,
% 48.27/31.32 (~v115(constB9)),
% 48.27/31.32 inference(unit_resolution,[status(thm)],[3144, 3126])).
% 48.27/31.32 tff(3146,plain,
% 48.27/31.32 (^[VarCurr: $i] : refl(((~v124(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ((~v124(VarCurr)) | v130(VarCurr, bitIndex1)))),
% 48.27/31.32 inference(bind,[status(th)],[])).
% 48.27/31.32 tff(3147,plain,
% 48.27/31.32 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 48.27/31.32 inference(quant_intro,[status(thm)],[3146])).
% 48.27/31.32 tff(3148,plain,
% 48.27/31.32 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 48.27/31.32 inference(rewrite,[status(thm)],[])).
% 48.27/31.32 tff(3149,plain,
% 48.27/31.32 (^[VarCurr: $i] : rewrite((v130(VarCurr, bitIndex1) | (~v124(VarCurr))) <=> ((~v124(VarCurr)) | v130(VarCurr, bitIndex1)))),
% 48.27/31.32 inference(bind,[status(th)],[])).
% 48.27/31.32 tff(3150,plain,
% 48.27/31.32 (![VarCurr: $i] : (v130(VarCurr, bitIndex1) | (~v124(VarCurr))) <=> ![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 48.27/31.32 inference(quant_intro,[status(thm)],[3149])).
% 48.27/31.32 tff(3151,axiom,(![VarCurr: $i] : (v130(VarCurr, bitIndex1) | (~v124(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5_1_2')).
% 48.27/31.32 tff(3152,plain,
% 48.27/31.32 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3151, 3150])).
% 48.27/31.32 tff(3153,plain,
% 48.27/31.32 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3152, 3148])).
% 48.27/31.32 tff(3154,plain,(
% 48.27/31.32 ![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 48.27/31.32 inference(skolemize,[status(sab)],[3153])).
% 48.27/31.32 tff(3155,plain,
% 48.27/31.32 (![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3154, 3147])).
% 48.27/31.32 tff(3156,plain,
% 48.27/31.32 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB9)) | v130(constB9, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB9)) | v130(constB9, bitIndex1))),
% 48.27/31.32 inference(rewrite,[status(thm)],[])).
% 48.27/31.32 tff(3157,plain,
% 48.27/31.32 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB9)) | v130(constB9, bitIndex1))),
% 48.27/31.32 inference(quant_inst,[status(thm)],[])).
% 48.27/31.32 tff(3158,plain,
% 48.27/31.32 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB9)) | v130(constB9, bitIndex1)),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3157, 3156])).
% 48.27/31.32 tff(3159,plain,
% 48.27/31.32 (~v124(constB9)),
% 48.27/31.32 inference(unit_resolution,[status(thm)],[3158, 3155, 3092])).
% 48.27/31.32 tff(3160,plain,
% 48.27/31.32 (^[VarCurr: $i] : refl((v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr))) <=> (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr))))),
% 48.27/31.32 inference(bind,[status(th)],[])).
% 48.27/31.32 tff(3161,plain,
% 48.27/31.32 (![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr))) <=> ![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 48.27/31.32 inference(quant_intro,[status(thm)],[3160])).
% 48.27/31.32 tff(3162,plain,
% 48.27/31.32 (![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr))) <=> ![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 48.27/31.32 inference(rewrite,[status(thm)],[])).
% 48.27/31.32 tff(3163,plain,
% 48.27/31.32 (^[VarCurr: $i] : trans(monotonicity(rewrite((v124(VarCurr) | v115(VarCurr)) <=> (v115(VarCurr) | v124(VarCurr))), (((v124(VarCurr) | v115(VarCurr)) | (~v114(VarCurr))) <=> ((v115(VarCurr) | v124(VarCurr)) | (~v114(VarCurr))))), rewrite(((v115(VarCurr) | v124(VarCurr)) | (~v114(VarCurr))) <=> (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))), (((v124(VarCurr) | v115(VarCurr)) | (~v114(VarCurr))) <=> (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))))),
% 48.27/31.32 inference(bind,[status(th)],[])).
% 48.27/31.32 tff(3164,plain,
% 48.27/31.32 (![VarCurr: $i] : ((v124(VarCurr) | v115(VarCurr)) | (~v114(VarCurr))) <=> ![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 48.27/31.32 inference(quant_intro,[status(thm)],[3163])).
% 48.27/31.32 tff(3165,axiom,(![VarCurr: $i] : ((v124(VarCurr) | v115(VarCurr)) | (~v114(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_23_1_3')).
% 48.27/31.32 tff(3166,plain,
% 48.27/31.32 (![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3165, 3164])).
% 48.27/31.32 tff(3167,plain,
% 48.27/31.32 (![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3166, 3162])).
% 48.27/31.32 tff(3168,plain,(
% 48.27/31.32 ![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 48.27/31.32 inference(skolemize,[status(sab)],[3167])).
% 48.27/31.32 tff(3169,plain,
% 48.27/31.32 (![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3168, 3161])).
% 48.27/31.32 tff(3170,plain,
% 48.27/31.32 (((~![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | (v115(constB9) | v124(constB9) | (~v114(constB9)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | v115(constB9) | v124(constB9) | (~v114(constB9)))),
% 48.27/31.32 inference(rewrite,[status(thm)],[])).
% 48.27/31.32 tff(3171,plain,
% 48.27/31.32 ((~![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | (v115(constB9) | v124(constB9) | (~v114(constB9)))),
% 48.27/31.32 inference(quant_inst,[status(thm)],[])).
% 48.27/31.32 tff(3172,plain,
% 48.27/31.32 ((~![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | v115(constB9) | v124(constB9) | (~v114(constB9))),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3171, 3170])).
% 48.27/31.32 tff(3173,plain,
% 48.27/31.32 (v115(constB9) | (~v114(constB9))),
% 48.27/31.32 inference(unit_resolution,[status(thm)],[3172, 3169, 3159])).
% 48.27/31.32 tff(3174,plain,
% 48.27/31.32 (~v114(constB9)),
% 48.27/31.32 inference(unit_resolution,[status(thm)],[3173, 3145])).
% 48.27/31.32 tff(3175,plain,
% 48.27/31.32 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))))),
% 48.27/31.32 inference(bind,[status(th)],[])).
% 48.27/31.32 tff(3176,plain,
% 48.27/31.32 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 48.27/31.32 inference(quant_intro,[status(thm)],[3175])).
% 48.27/31.32 tff(3177,plain,
% 48.27/31.32 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 48.27/31.32 inference(rewrite,[status(thm)],[])).
% 48.27/31.32 tff(3178,plain,
% 48.27/31.32 (^[VarNext: $i, VarCurr: $i] : rewrite(((v110(VarNext) | (~v100(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))))),
% 48.27/31.32 inference(bind,[status(th)],[])).
% 48.27/31.32 tff(3179,plain,
% 48.27/31.32 (![VarNext: $i, VarCurr: $i] : ((v110(VarNext) | (~v100(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 48.27/31.32 inference(quant_intro,[status(thm)],[3178])).
% 48.27/31.32 tff(3180,axiom,(![VarNext: $i, VarCurr: $i] : ((v110(VarNext) | (~v100(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_27_1_2')).
% 48.27/31.32 tff(3181,plain,
% 48.27/31.32 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3180, 3179])).
% 48.27/31.32 tff(3182,plain,
% 48.27/31.32 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3181, 3177])).
% 48.27/31.32 tff(3183,plain,(
% 48.27/31.32 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 48.27/31.32 inference(skolemize,[status(sab)],[3182])).
% 48.27/31.32 tff(3184,plain,
% 48.27/31.32 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3183, 3176])).
% 48.27/31.32 tff(3185,plain,
% 48.27/31.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB9, constB10)) | v110(constB10) | (~v100(constB10)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB9, constB10)) | v110(constB10) | (~v100(constB10)))),
% 48.27/31.32 inference(rewrite,[status(thm)],[])).
% 48.27/31.32 tff(3186,plain,
% 48.27/31.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB9, constB10)) | v110(constB10) | (~v100(constB10)))),
% 48.27/31.32 inference(quant_inst,[status(thm)],[])).
% 48.27/31.32 tff(3187,plain,
% 48.27/31.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB9, constB10)) | v110(constB10) | (~v100(constB10))),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3186, 3185])).
% 48.27/31.32 tff(3188,plain,
% 48.27/31.32 (v110(constB10) | (~v100(constB10))),
% 48.27/31.32 inference(unit_resolution,[status(thm)],[3187, 3184, 1601])).
% 48.27/31.32 tff(3189,plain,
% 48.27/31.32 (v110(constB10)),
% 48.27/31.32 inference(unit_resolution,[status(thm)],[3188, 2909])).
% 48.27/31.32 tff(3190,plain,
% 48.27/31.32 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))))),
% 48.27/31.32 inference(bind,[status(th)],[])).
% 48.27/31.32 tff(3191,plain,
% 48.27/31.32 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 48.27/31.32 inference(quant_intro,[status(thm)],[3190])).
% 48.27/31.32 tff(3192,plain,
% 48.27/31.32 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 48.27/31.32 inference(rewrite,[status(thm)],[])).
% 48.27/31.32 tff(3193,plain,
% 48.27/31.32 (^[VarNext: $i, VarCurr: $i] : rewrite(((v108(VarCurr) | (~v110(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))))),
% 48.27/31.32 inference(bind,[status(th)],[])).
% 48.27/31.32 tff(3194,plain,
% 48.27/31.32 (![VarNext: $i, VarCurr: $i] : ((v108(VarCurr) | (~v110(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 48.27/31.32 inference(quant_intro,[status(thm)],[3193])).
% 48.27/31.32 tff(3195,axiom,(![VarNext: $i, VarCurr: $i] : ((v108(VarCurr) | (~v110(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_6_1_2')).
% 48.27/31.32 tff(3196,plain,
% 48.27/31.32 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3195, 3194])).
% 48.27/31.32 tff(3197,plain,
% 48.27/31.32 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3196, 3192])).
% 48.27/31.32 tff(3198,plain,(
% 48.27/31.32 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 48.27/31.32 inference(skolemize,[status(sab)],[3197])).
% 48.27/31.32 tff(3199,plain,
% 48.27/31.32 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3198, 3191])).
% 48.27/31.32 tff(3200,plain,
% 48.27/31.32 (((~![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))),
% 48.27/31.32 inference(rewrite,[status(thm)],[])).
% 48.27/31.32 tff(3201,plain,
% 48.27/31.32 (((~nextState(constB9, constB10)) | v108(constB9) | (~v110(constB10))) <=> ((~nextState(constB9, constB10)) | (~v110(constB10)) | v108(constB9))),
% 48.27/31.32 inference(rewrite,[status(thm)],[])).
% 48.27/31.32 tff(3202,plain,
% 48.27/31.32 (((~![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)))),
% 48.27/31.32 inference(monotonicity,[status(thm)],[3201])).
% 48.27/31.32 tff(3203,plain,
% 48.27/31.32 (((~![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))),
% 48.27/31.32 inference(transitivity,[status(thm)],[3202, 3200])).
% 48.27/31.32 tff(3204,plain,
% 48.27/31.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB9, constB10)) | v108(constB9) | (~v110(constB10)))),
% 48.27/31.32 inference(quant_inst,[status(thm)],[])).
% 48.27/31.32 tff(3205,plain,
% 48.27/31.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB9, constB10)) | (~v110(constB10)) | v108(constB9)),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3204, 3203])).
% 48.27/31.32 tff(3206,plain,
% 48.27/31.32 ((~v110(constB10)) | v108(constB9)),
% 48.27/31.32 inference(unit_resolution,[status(thm)],[3205, 3199, 1601])).
% 48.27/31.32 tff(3207,plain,
% 48.27/31.32 (v108(constB9)),
% 48.27/31.32 inference(unit_resolution,[status(thm)],[3206, 3189])).
% 48.27/31.32 tff(3208,plain,
% 48.27/31.32 (^[VarCurr: $i] : refl((v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr))) <=> (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr))))),
% 48.27/31.32 inference(bind,[status(th)],[])).
% 48.27/31.32 tff(3209,plain,
% 48.27/31.32 (![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr))) <=> ![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 48.27/31.32 inference(quant_intro,[status(thm)],[3208])).
% 48.27/31.32 tff(3210,plain,
% 48.27/31.32 (![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr))) <=> ![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 48.27/31.32 inference(rewrite,[status(thm)],[])).
% 48.27/31.32 tff(3211,plain,
% 48.27/31.32 (^[VarCurr: $i] : rewrite(((v112(VarCurr) | v26(VarCurr)) | (~v108(VarCurr))) <=> (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr))))),
% 48.27/31.32 inference(bind,[status(th)],[])).
% 48.27/31.32 tff(3212,plain,
% 48.27/31.32 (![VarCurr: $i] : ((v112(VarCurr) | v26(VarCurr)) | (~v108(VarCurr))) <=> ![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 48.27/31.32 inference(quant_intro,[status(thm)],[3211])).
% 48.27/31.32 tff(3213,axiom,(![VarCurr: $i] : ((v112(VarCurr) | v26(VarCurr)) | (~v108(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_26_1_1_3')).
% 48.27/31.32 tff(3214,plain,
% 48.27/31.32 (![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3213, 3212])).
% 48.27/31.32 tff(3215,plain,
% 48.27/31.32 (![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3214, 3210])).
% 48.27/31.32 tff(3216,plain,(
% 48.27/31.32 ![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 48.27/31.32 inference(skolemize,[status(sab)],[3215])).
% 48.27/31.32 tff(3217,plain,
% 48.27/31.32 (![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3216, 3209])).
% 48.27/31.32 tff(3218,plain,
% 48.27/31.32 (((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | ((~v108(constB9)) | v26(constB9) | v112(constB9))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB9)) | v26(constB9) | v112(constB9))),
% 48.27/31.32 inference(rewrite,[status(thm)],[])).
% 48.27/31.32 tff(3219,plain,
% 48.27/31.32 ((v26(constB9) | v112(constB9) | (~v108(constB9))) <=> ((~v108(constB9)) | v26(constB9) | v112(constB9))),
% 48.27/31.32 inference(rewrite,[status(thm)],[])).
% 48.27/31.32 tff(3220,plain,
% 48.27/31.32 (((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB9) | v112(constB9) | (~v108(constB9)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | ((~v108(constB9)) | v26(constB9) | v112(constB9)))),
% 48.27/31.32 inference(monotonicity,[status(thm)],[3219])).
% 48.27/31.32 tff(3221,plain,
% 48.27/31.32 (((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB9) | v112(constB9) | (~v108(constB9)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB9)) | v26(constB9) | v112(constB9))),
% 48.27/31.32 inference(transitivity,[status(thm)],[3220, 3218])).
% 48.27/31.32 tff(3222,plain,
% 48.27/31.32 ((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB9) | v112(constB9) | (~v108(constB9)))),
% 48.27/31.32 inference(quant_inst,[status(thm)],[])).
% 48.27/31.32 tff(3223,plain,
% 48.27/31.32 ((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB9)) | v26(constB9) | v112(constB9)),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3222, 3221])).
% 48.27/31.32 tff(3224,plain,
% 48.27/31.32 ((~v108(constB9)) | v112(constB9)),
% 48.27/31.32 inference(unit_resolution,[status(thm)],[3223, 3217, 1586])).
% 48.27/31.32 tff(3225,plain,
% 48.27/31.32 (v112(constB9)),
% 48.27/31.32 inference(unit_resolution,[status(thm)],[3224, 3207])).
% 48.27/31.32 tff(3226,plain,
% 48.27/31.32 (^[VarCurr: $i] : refl((v113(VarCurr) | (~v112(VarCurr))) <=> (v113(VarCurr) | (~v112(VarCurr))))),
% 48.27/31.32 inference(bind,[status(th)],[])).
% 48.27/31.32 tff(3227,plain,
% 48.27/31.32 (![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr))) <=> ![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))),
% 48.27/31.32 inference(quant_intro,[status(thm)],[3226])).
% 48.27/31.32 tff(3228,plain,
% 48.27/31.32 (![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr))) <=> ![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))),
% 48.27/31.32 inference(rewrite,[status(thm)],[])).
% 48.27/31.32 tff(3229,axiom,(![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_25_1_1_2')).
% 48.27/31.32 tff(3230,plain,
% 48.27/31.32 (![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3229, 3228])).
% 48.27/31.32 tff(3231,plain,(
% 48.27/31.32 ![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))),
% 48.27/31.32 inference(skolemize,[status(sab)],[3230])).
% 48.27/31.32 tff(3232,plain,
% 48.27/31.32 (![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3231, 3227])).
% 48.27/31.32 tff(3233,plain,
% 48.27/31.32 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))) | (v113(constB9) | (~v112(constB9)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))) | v113(constB9) | (~v112(constB9)))),
% 48.27/31.32 inference(rewrite,[status(thm)],[])).
% 48.27/31.32 tff(3234,plain,
% 48.27/31.32 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))) | (v113(constB9) | (~v112(constB9)))),
% 48.27/31.32 inference(quant_inst,[status(thm)],[])).
% 48.27/31.32 tff(3235,plain,
% 48.27/31.32 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))) | v113(constB9) | (~v112(constB9))),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3234, 3233])).
% 48.27/31.32 tff(3236,plain,
% 48.27/31.32 (v113(constB9)),
% 48.27/31.32 inference(unit_resolution,[status(thm)],[3235, 3232, 3225])).
% 48.27/31.32 tff(3237,plain,
% 48.27/31.32 (^[VarCurr: $i] : refl((v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr))) <=> (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr))))),
% 48.27/31.32 inference(bind,[status(th)],[])).
% 48.27/31.32 tff(3238,plain,
% 48.27/31.32 (![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr))) <=> ![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 48.27/31.32 inference(quant_intro,[status(thm)],[3237])).
% 48.27/31.32 tff(3239,plain,
% 48.27/31.32 (![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr))) <=> ![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 48.27/31.32 inference(rewrite,[status(thm)],[])).
% 48.27/31.32 tff(3240,plain,
% 48.27/31.32 (^[VarCurr: $i] : trans(monotonicity(rewrite((v125(VarCurr) | v114(VarCurr)) <=> (v114(VarCurr) | v125(VarCurr))), (((v125(VarCurr) | v114(VarCurr)) | (~v113(VarCurr))) <=> ((v114(VarCurr) | v125(VarCurr)) | (~v113(VarCurr))))), rewrite(((v114(VarCurr) | v125(VarCurr)) | (~v113(VarCurr))) <=> (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))), (((v125(VarCurr) | v114(VarCurr)) | (~v113(VarCurr))) <=> (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))))),
% 48.27/31.32 inference(bind,[status(th)],[])).
% 48.27/31.32 tff(3241,plain,
% 48.27/31.32 (![VarCurr: $i] : ((v125(VarCurr) | v114(VarCurr)) | (~v113(VarCurr))) <=> ![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 48.27/31.32 inference(quant_intro,[status(thm)],[3240])).
% 48.27/31.32 tff(3242,axiom,(![VarCurr: $i] : ((v125(VarCurr) | v114(VarCurr)) | (~v113(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_24_1_3')).
% 48.27/31.32 tff(3243,plain,
% 48.27/31.32 (![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3242, 3241])).
% 48.27/31.32 tff(3244,plain,
% 48.27/31.32 (![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3243, 3239])).
% 48.27/31.32 tff(3245,plain,(
% 48.27/31.32 ![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 48.27/31.32 inference(skolemize,[status(sab)],[3244])).
% 48.27/31.32 tff(3246,plain,
% 48.27/31.32 (![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3245, 3238])).
% 48.27/31.32 tff(3247,plain,
% 48.27/31.32 (((~![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | (v114(constB9) | v125(constB9) | (~v113(constB9)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | v114(constB9) | v125(constB9) | (~v113(constB9)))),
% 48.27/31.32 inference(rewrite,[status(thm)],[])).
% 48.27/31.32 tff(3248,plain,
% 48.27/31.32 ((~![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | (v114(constB9) | v125(constB9) | (~v113(constB9)))),
% 48.27/31.32 inference(quant_inst,[status(thm)],[])).
% 48.27/31.32 tff(3249,plain,
% 48.27/31.32 ((~![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | v114(constB9) | v125(constB9) | (~v113(constB9))),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3248, 3247])).
% 48.27/31.32 tff(3250,plain,
% 48.27/31.32 (v114(constB9) | v125(constB9)),
% 48.27/31.32 inference(unit_resolution,[status(thm)],[3249, 3246, 3236])).
% 48.27/31.32 tff(3251,plain,
% 48.27/31.32 (v125(constB9)),
% 48.27/31.32 inference(unit_resolution,[status(thm)],[3250, 3174])).
% 48.27/31.32 tff(3252,plain,
% 48.27/31.32 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex2) | (~v125(VarCurr))) <=> (v90(VarCurr, bitIndex2) | (~v125(VarCurr))))),
% 48.27/31.32 inference(bind,[status(th)],[])).
% 48.27/31.32 tff(3253,plain,
% 48.27/31.32 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v125(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v125(VarCurr)))),
% 48.27/31.32 inference(quant_intro,[status(thm)],[3252])).
% 48.27/31.32 tff(3254,plain,
% 48.27/31.32 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v125(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v125(VarCurr)))),
% 48.27/31.32 inference(rewrite,[status(thm)],[])).
% 48.27/31.32 tff(3255,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v125(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_8_1_1_2')).
% 48.27/31.32 tff(3256,plain,
% 48.27/31.32 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v125(VarCurr)))),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3255, 3254])).
% 48.27/31.32 tff(3257,plain,(
% 48.27/31.32 ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v125(VarCurr)))),
% 48.27/31.32 inference(skolemize,[status(sab)],[3256])).
% 48.27/31.32 tff(3258,plain,
% 48.27/31.32 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v125(VarCurr)))),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3257, 3253])).
% 48.27/31.32 tff(3259,plain,
% 48.27/31.32 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v125(VarCurr)))) | (v90(constB9, bitIndex2) | (~v125(constB9)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v125(VarCurr)))) | v90(constB9, bitIndex2) | (~v125(constB9)))),
% 48.27/31.32 inference(rewrite,[status(thm)],[])).
% 48.27/31.32 tff(3260,plain,
% 48.27/31.32 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v125(VarCurr)))) | (v90(constB9, bitIndex2) | (~v125(constB9)))),
% 48.27/31.32 inference(quant_inst,[status(thm)],[])).
% 48.27/31.32 tff(3261,plain,
% 48.27/31.32 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v125(VarCurr)))) | v90(constB9, bitIndex2) | (~v125(constB9))),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3260, 3259])).
% 48.27/31.32 tff(3262,plain,
% 48.27/31.32 (v90(constB9, bitIndex2)),
% 48.27/31.32 inference(unit_resolution,[status(thm)],[3261, 3258, 3251])).
% 48.27/31.32 tff(3263,plain,
% 48.27/31.32 (v90(constB8, bitIndex2)),
% 48.27/31.32 inference(unit_resolution,[status(thm)],[1439, 3262])).
% 48.27/31.32 tff(3264,plain,
% 48.27/31.32 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex1) | (~v125(VarCurr))) <=> (v90(VarCurr, bitIndex1) | (~v125(VarCurr))))),
% 48.27/31.32 inference(bind,[status(th)],[])).
% 48.27/31.32 tff(3265,plain,
% 48.27/31.32 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v125(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v125(VarCurr)))),
% 48.27/31.32 inference(quant_intro,[status(thm)],[3264])).
% 48.27/31.32 tff(3266,plain,
% 48.27/31.32 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v125(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v125(VarCurr)))),
% 48.27/31.32 inference(rewrite,[status(thm)],[])).
% 48.27/31.32 tff(3267,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v125(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_8_1_1_3')).
% 48.27/31.32 tff(3268,plain,
% 48.27/31.32 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v125(VarCurr)))),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3267, 3266])).
% 48.27/31.32 tff(3269,plain,(
% 48.27/31.32 ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v125(VarCurr)))),
% 48.27/31.32 inference(skolemize,[status(sab)],[3268])).
% 48.27/31.32 tff(3270,plain,
% 48.27/31.32 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v125(VarCurr)))),
% 48.27/31.32 inference(modus_ponens,[status(thm)],[3269, 3265])).
% 48.27/31.32 tff(3271,plain,
% 48.27/31.32 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v125(VarCurr)))) | (v90(constB9, bitIndex1) | (~v125(constB9)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v125(VarCurr)))) | v90(constB9, bitIndex1) | (~v125(constB9)))),
% 48.27/31.32 inference(rewrite,[status(thm)],[])).
% 48.27/31.32 tff(3272,plain,
% 48.27/31.32 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v125(VarCurr)))) | (v90(constB9, bitIndex1) | (~v125(constB9)))),
% 48.27/31.32 inference(quant_inst,[status(thm)],[])).
% 48.27/31.32 tff(3273,plain,
% 48.27/31.32 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v125(VarCurr)))) | v90(constB9, bitIndex1) | (~v125(constB9))),
% 48.27/31.33 inference(modus_ponens,[status(thm)],[3272, 3271])).
% 48.27/31.33 tff(3274,plain,
% 48.27/31.33 (v90(constB9, bitIndex1)),
% 48.27/31.33 inference(unit_resolution,[status(thm)],[3273, 3270, 3251])).
% 48.27/31.33 tff(3275,plain,
% 48.27/31.33 (((~![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)))),
% 48.27/31.33 inference(rewrite,[status(thm)],[])).
% 48.27/31.33 tff(3276,plain,
% 48.27/31.33 (((~nextState(constB8, constB9)) | v90(constB8, bitIndex1) | v100(constB9) | (~v90(constB9, bitIndex1))) <=> (v90(constB8, bitIndex1) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, bitIndex1)))),
% 48.27/31.33 inference(rewrite,[status(thm)],[])).
% 48.27/31.33 tff(3277,plain,
% 48.27/31.33 (((~![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))))),
% 48.27/31.33 inference(monotonicity,[status(thm)],[3276])).
% 48.27/31.33 tff(3278,plain,
% 48.27/31.33 (((~![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)))),
% 48.27/31.33 inference(transitivity,[status(thm)],[3277, 3275])).
% 48.27/31.33 tff(3279,plain,
% 48.27/31.33 ((~![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)))),
% 48.27/31.33 inference(quant_inst,[status(thm)],[])).
% 48.27/31.33 tff(3280,plain,
% 48.27/31.33 ((~![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))),
% 48.27/31.33 inference(modus_ponens,[status(thm)],[3279, 3278])).
% 48.27/31.33 tff(3281,plain,
% 48.27/31.33 (v90(constB8, bitIndex1) | v100(constB9) | (~v90(constB9, bitIndex1))),
% 48.27/31.33 inference(unit_resolution,[status(thm)],[3280, 102, 1419])).
% 48.27/31.33 tff(3282,plain,
% 48.27/31.33 (v90(constB8, bitIndex1) | (~v90(constB9, bitIndex1))),
% 48.27/31.33 inference(unit_resolution,[status(thm)],[3281, 1431])).
% 48.27/31.33 tff(3283,plain,
% 48.27/31.33 (v90(constB8, bitIndex1)),
% 48.27/31.33 inference(unit_resolution,[status(thm)],[3282, 3274])).
% 48.27/31.33 tff(3284,assumption,(v90(constB8, bitIndex2)), introduced(assumption)).
% 48.27/31.33 tff(3285,assumption,(~v90(constB7, bitIndex2)), introduced(assumption)).
% 48.27/31.33 tff(3286,plain,
% 48.27/31.33 (((~![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)))),
% 48.27/31.33 inference(rewrite,[status(thm)],[])).
% 48.27/31.33 tff(3287,plain,
% 48.27/31.33 (((~nextState(constB7, constB8)) | v90(constB7, bitIndex2) | v100(constB8) | (~v90(constB8, bitIndex2))) <=> (v90(constB7, bitIndex2) | (~nextState(constB7, constB8)) | v100(constB8) | (~v90(constB8, bitIndex2)))),
% 48.27/31.33 inference(rewrite,[status(thm)],[])).
% 48.27/31.33 tff(3288,plain,
% 48.27/31.33 (((~![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))))),
% 48.27/31.33 inference(monotonicity,[status(thm)],[3287])).
% 48.27/31.33 tff(3289,plain,
% 48.27/31.33 (((~![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)))),
% 48.27/31.33 inference(transitivity,[status(thm)],[3288, 3286])).
% 48.27/31.33 tff(3290,plain,
% 48.27/31.33 ((~![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)))),
% 48.27/31.33 inference(quant_inst,[status(thm)],[])).
% 48.27/31.33 tff(3291,plain,
% 48.27/31.33 ((~![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))),
% 48.27/31.33 inference(modus_ponens,[status(thm)],[3290, 3289])).
% 48.27/31.33 tff(3292,plain,
% 48.27/31.33 (v90(constB7, bitIndex2) | v100(constB8) | (~v90(constB8, bitIndex2))),
% 48.27/31.33 inference(unit_resolution,[status(thm)],[3291, 81, 1338])).
% 48.27/31.33 tff(3293,plain,
% 48.27/31.33 (v100(constB8)),
% 48.27/31.33 inference(unit_resolution,[status(thm)],[3292, 3285, 3284])).
% 48.27/31.33 tff(3294,assumption,(v90(constB8, bitIndex1)), introduced(assumption)).
% 48.27/31.33 tff(3295,plain,
% 48.27/31.33 (((~![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)))),
% 48.27/31.33 inference(rewrite,[status(thm)],[])).
% 48.27/31.33 tff(3296,plain,
% 48.27/31.33 (((~v90(constB8, bitIndex1)) | (~v100(constB8)) | v129(constB8, bitIndex1)) <=> ((~v90(constB8, bitIndex1)) | v129(constB8, bitIndex1) | (~v100(constB8)))),
% 48.27/31.33 inference(rewrite,[status(thm)],[])).
% 48.27/31.33 tff(3297,plain,
% 48.27/31.33 (((~![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))))),
% 48.27/31.33 inference(monotonicity,[status(thm)],[3296])).
% 48.27/31.33 tff(3298,plain,
% 48.27/31.33 (((~![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)))),
% 48.27/31.33 inference(transitivity,[status(thm)],[3297, 3295])).
% 48.27/31.33 tff(3299,plain,
% 48.27/31.33 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB8, bitIndex1)) | (~v100(constB8)) | v129(constB8, bitIndex1))),
% 48.27/31.33 inference(quant_inst,[status(thm)],[])).
% 48.27/31.33 tff(3300,plain,
% 48.27/31.33 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB8, bitIndex1)) | v129(constB8, bitIndex1) | (~v100(constB8))),
% 48.27/31.33 inference(modus_ponens,[status(thm)],[3299, 3298])).
% 48.27/31.33 tff(3301,plain,
% 48.27/31.33 (v129(constB8, bitIndex1) | (~v100(constB8))),
% 48.27/31.33 inference(unit_resolution,[status(thm)],[3300, 483, 3294])).
% 48.27/31.33 tff(3302,plain,
% 48.27/31.33 (v129(constB8, bitIndex1)),
% 48.27/31.33 inference(unit_resolution,[status(thm)],[3301, 3293])).
% 48.27/31.33 tff(3303,plain,
% 48.27/31.33 (((~![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)))),
% 48.27/31.33 inference(rewrite,[status(thm)],[])).
% 48.27/31.33 tff(3304,plain,
% 48.27/31.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB7, constB8)) | v127(constB7, bitIndex1) | (~v129(constB8, bitIndex1)))),
% 48.27/31.33 inference(quant_inst,[status(thm)],[])).
% 48.27/31.33 tff(3305,plain,
% 48.27/31.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB7, constB8)) | v127(constB7, bitIndex1) | (~v129(constB8, bitIndex1))),
% 48.27/31.33 inference(modus_ponens,[status(thm)],[3304, 3303])).
% 48.27/31.33 tff(3306,plain,
% 48.27/31.33 (v127(constB7, bitIndex1) | (~v129(constB8, bitIndex1))),
% 48.27/31.33 inference(unit_resolution,[status(thm)],[3305, 468, 1338])).
% 48.27/31.33 tff(3307,plain,
% 48.27/31.33 (v127(constB7, bitIndex1)),
% 48.27/31.33 inference(unit_resolution,[status(thm)],[3306, 3302])).
% 48.27/31.33 tff(3308,plain,
% 48.27/31.33 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB7)) | (~v127(constB7, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB7)) | (~v127(constB7, bitIndex1)))),
% 48.27/31.33 inference(rewrite,[status(thm)],[])).
% 48.27/31.33 tff(3309,plain,
% 48.27/31.33 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB7)) | (~v127(constB7, bitIndex1)))),
% 48.27/31.33 inference(quant_inst,[status(thm)],[])).
% 48.27/31.33 tff(3310,plain,
% 48.27/31.33 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB7)) | (~v127(constB7, bitIndex1))),
% 48.27/31.33 inference(modus_ponens,[status(thm)],[3309, 3308])).
% 48.27/31.33 tff(3311,plain,
% 48.27/31.33 (~v26(constB7)),
% 48.27/31.33 inference(unit_resolution,[status(thm)],[3310, 1959, 3307])).
% 48.27/31.33 tff(3312,plain,
% 48.27/31.33 (((~![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))),
% 48.27/31.33 inference(rewrite,[status(thm)],[])).
% 48.27/31.33 tff(3313,plain,
% 48.27/31.33 ((v26(constB7) | v130(constB7, bitIndex1) | (~v127(constB7, bitIndex1))) <=> ((~v127(constB7, bitIndex1)) | v26(constB7) | v130(constB7, bitIndex1))),
% 48.27/31.33 inference(rewrite,[status(thm)],[])).
% 48.27/31.33 tff(3314,plain,
% 48.27/31.33 (((~![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)))),
% 48.27/31.33 inference(monotonicity,[status(thm)],[3313])).
% 48.27/31.33 tff(3315,plain,
% 48.27/31.33 (((~![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))),
% 48.27/31.33 inference(transitivity,[status(thm)],[3314, 3312])).
% 48.27/31.33 tff(3316,plain,
% 48.27/31.33 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB7) | v130(constB7, bitIndex1) | (~v127(constB7, bitIndex1)))),
% 48.27/31.33 inference(quant_inst,[status(thm)],[])).
% 48.27/31.33 tff(3317,plain,
% 48.27/31.33 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB7, bitIndex1)) | v26(constB7) | v130(constB7, bitIndex1)),
% 48.27/31.33 inference(modus_ponens,[status(thm)],[3316, 3315])).
% 48.27/31.33 tff(3318,plain,
% 48.27/31.33 (v130(constB7, bitIndex1)),
% 48.27/31.33 inference(unit_resolution,[status(thm)],[3317, 450, 3307, 3311])).
% 48.27/31.33 tff(3319,plain,
% 48.27/31.33 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB7)) | (~v130(constB7, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB7)) | (~v130(constB7, bitIndex1)))),
% 48.27/31.33 inference(rewrite,[status(thm)],[])).
% 48.27/31.33 tff(3320,plain,
% 48.27/31.33 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB7)) | (~v130(constB7, bitIndex1)))),
% 48.27/31.33 inference(quant_inst,[status(thm)],[])).
% 48.27/31.33 tff(3321,plain,
% 48.27/31.33 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB7)) | (~v130(constB7, bitIndex1))),
% 48.27/31.33 inference(modus_ponens,[status(thm)],[3320, 3319])).
% 48.27/31.33 tff(3322,plain,
% 48.27/31.33 (~v119(constB7)),
% 48.27/31.33 inference(unit_resolution,[status(thm)],[3321, 436, 3318])).
% 48.27/31.33 tff(3323,plain,
% 48.27/31.33 (v129(constB8, bitIndex2) | (~v100(constB8))),
% 48.27/31.33 inference(unit_resolution,[status(thm)],[1411, 1258, 3284])).
% 48.27/31.33 tff(3324,plain,
% 48.27/31.33 (v129(constB8, bitIndex2)),
% 48.27/31.33 inference(unit_resolution,[status(thm)],[3323, 3293])).
% 48.27/31.33 tff(3325,plain,
% 48.27/31.33 (v127(constB7, bitIndex2)),
% 48.27/31.33 inference(unit_resolution,[status(thm)],[1404, 3324])).
% 48.27/31.33 tff(3326,plain,
% 48.27/31.33 (v130(constB7, bitIndex2)),
% 48.27/31.33 inference(unit_resolution,[status(thm)],[1393, 1210, 3325, 3311])).
% 48.27/31.33 tff(3327,plain,
% 48.27/31.33 (~v120(constB7)),
% 48.27/31.33 inference(unit_resolution,[status(thm)],[1386, 1383, 3326])).
% 48.27/31.33 tff(3328,plain,
% 48.27/31.33 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB7)) | (~v130(constB7, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB7)) | (~v130(constB7, bitIndex2)))),
% 48.27/31.33 inference(rewrite,[status(thm)],[])).
% 48.27/31.33 tff(3329,plain,
% 48.27/31.33 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB7)) | (~v130(constB7, bitIndex2)))),
% 48.27/31.33 inference(quant_inst,[status(thm)],[])).
% 48.27/31.33 tff(3330,plain,
% 48.27/31.33 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB7)) | (~v130(constB7, bitIndex2))),
% 48.27/31.33 inference(modus_ponens,[status(thm)],[3329, 3328])).
% 48.27/31.33 tff(3331,plain,
% 48.27/31.33 (~v121(constB7)),
% 48.27/31.33 inference(unit_resolution,[status(thm)],[3330, 1645, 3326])).
% 48.27/31.33 tff(3332,plain,
% 48.27/31.33 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB7)) | (~v130(constB7, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB7)) | (~v130(constB7, bitIndex1)))),
% 48.27/31.33 inference(rewrite,[status(thm)],[])).
% 48.27/31.33 tff(3333,plain,
% 48.27/31.33 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB7)) | (~v130(constB7, bitIndex1)))),
% 48.27/31.33 inference(quant_inst,[status(thm)],[])).
% 48.27/31.33 tff(3334,plain,
% 48.27/31.33 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB7)) | (~v130(constB7, bitIndex1))),
% 48.27/31.33 inference(modus_ponens,[status(thm)],[3333, 3332])).
% 48.27/31.33 tff(3335,plain,
% 48.27/31.33 (~v122(constB7)),
% 48.27/31.33 inference(unit_resolution,[status(thm)],[3334, 1935, 3318])).
% 48.27/31.33 tff(3336,plain,
% 48.27/31.33 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex2) | (~v123(VarCurr))) <=> (v90(VarCurr, bitIndex2) | (~v123(VarCurr))))),
% 48.27/31.33 inference(bind,[status(th)],[])).
% 48.27/31.33 tff(3337,plain,
% 48.27/31.33 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))),
% 48.27/31.33 inference(quant_intro,[status(thm)],[3336])).
% 48.27/31.33 tff(3338,plain,
% 48.27/31.33 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))),
% 48.27/31.33 inference(rewrite,[status(thm)],[])).
% 48.27/31.33 tff(3339,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6_1_1_2')).
% 48.27/31.33 tff(3340,plain,
% 48.27/31.33 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))),
% 48.27/31.33 inference(modus_ponens,[status(thm)],[3339, 3338])).
% 48.27/31.33 tff(3341,plain,(
% 48.27/31.33 ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))),
% 48.27/31.33 inference(skolemize,[status(sab)],[3340])).
% 48.27/31.33 tff(3342,plain,
% 48.27/31.33 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))),
% 48.27/31.33 inference(modus_ponens,[status(thm)],[3341, 3337])).
% 48.27/31.33 tff(3343,plain,
% 48.27/31.33 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | (v90(constB7, bitIndex2) | (~v123(constB7)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | v90(constB7, bitIndex2) | (~v123(constB7)))),
% 48.27/31.33 inference(rewrite,[status(thm)],[])).
% 48.27/31.33 tff(3344,plain,
% 48.27/31.33 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | (v90(constB7, bitIndex2) | (~v123(constB7)))),
% 48.27/31.33 inference(quant_inst,[status(thm)],[])).
% 48.27/31.33 tff(3345,plain,
% 48.27/31.33 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | v90(constB7, bitIndex2) | (~v123(constB7))),
% 48.27/31.33 inference(modus_ponens,[status(thm)],[3344, 3343])).
% 48.27/31.33 tff(3346,plain,
% 48.27/31.33 (~v123(constB7)),
% 48.27/31.33 inference(unit_resolution,[status(thm)],[3345, 3342, 3285])).
% 48.27/31.33 tff(3347,plain,
% 48.27/31.33 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex2) | (~v124(VarCurr))) <=> (v90(VarCurr, bitIndex2) | (~v124(VarCurr))))),
% 48.27/31.33 inference(bind,[status(th)],[])).
% 48.27/31.33 tff(3348,plain,
% 48.27/31.33 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))),
% 48.27/31.33 inference(quant_intro,[status(thm)],[3347])).
% 48.27/31.33 tff(3349,plain,
% 48.27/31.33 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))),
% 48.27/31.33 inference(rewrite,[status(thm)],[])).
% 48.27/31.33 tff(3350,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_2')).
% 48.27/31.33 tff(3351,plain,
% 48.27/31.33 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))),
% 48.27/31.33 inference(modus_ponens,[status(thm)],[3350, 3349])).
% 48.27/31.33 tff(3352,plain,(
% 48.27/31.33 ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))),
% 48.27/31.33 inference(skolemize,[status(sab)],[3351])).
% 48.27/31.33 tff(3353,plain,
% 48.27/31.33 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))),
% 48.27/31.33 inference(modus_ponens,[status(thm)],[3352, 3348])).
% 48.27/31.33 tff(3354,plain,
% 48.27/31.33 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | (v90(constB7, bitIndex2) | (~v124(constB7)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | v90(constB7, bitIndex2) | (~v124(constB7)))),
% 48.27/31.33 inference(rewrite,[status(thm)],[])).
% 48.27/31.33 tff(3355,plain,
% 48.27/31.33 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | (v90(constB7, bitIndex2) | (~v124(constB7)))),
% 48.27/31.33 inference(quant_inst,[status(thm)],[])).
% 48.27/31.33 tff(3356,plain,
% 48.27/31.33 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | v90(constB7, bitIndex2) | (~v124(constB7))),
% 48.27/31.33 inference(modus_ponens,[status(thm)],[3355, 3354])).
% 48.27/31.33 tff(3357,plain,
% 48.27/31.33 (~v124(constB7)),
% 48.27/31.33 inference(unit_resolution,[status(thm)],[3356, 3353, 3285])).
% 48.27/31.33 tff(3358,assumption,(~v90(constB8, bitIndex0)), introduced(assumption)).
% 48.27/31.33 tff(3359,plain,
% 48.27/31.33 (((~![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)))),
% 48.27/31.33 inference(rewrite,[status(thm)],[])).
% 48.27/31.33 tff(3360,plain,
% 48.27/31.33 ((v90(constB8, bitIndex0) | (~v100(constB8)) | (~v129(constB8, bitIndex0))) <=> (v90(constB8, bitIndex0) | (~v129(constB8, bitIndex0)) | (~v100(constB8)))),
% 48.27/31.33 inference(rewrite,[status(thm)],[])).
% 48.27/31.33 tff(3361,plain,
% 48.27/31.33 (((~![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))))),
% 48.27/31.33 inference(monotonicity,[status(thm)],[3360])).
% 48.27/31.33 tff(3362,plain,
% 48.27/31.33 (((~![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)))),
% 48.27/31.33 inference(transitivity,[status(thm)],[3361, 3359])).
% 48.27/31.33 tff(3363,plain,
% 48.27/31.33 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB8, bitIndex0) | (~v100(constB8)) | (~v129(constB8, bitIndex0)))),
% 48.27/31.33 inference(quant_inst,[status(thm)],[])).
% 48.27/31.33 tff(3364,plain,
% 48.27/31.33 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB8, bitIndex0) | (~v129(constB8, bitIndex0)) | (~v100(constB8))),
% 48.27/31.33 inference(modus_ponens,[status(thm)],[3363, 3362])).
% 48.27/31.33 tff(3365,plain,
% 48.27/31.33 ((~v129(constB8, bitIndex0)) | (~v100(constB8))),
% 48.27/31.33 inference(unit_resolution,[status(thm)],[3364, 1088, 3358])).
% 48.27/31.33 tff(3366,plain,
% 48.27/31.33 (~v129(constB8, bitIndex0)),
% 48.27/31.33 inference(unit_resolution,[status(thm)],[3365, 3293])).
% 48.27/31.33 tff(3367,plain,
% 48.27/31.33 (((~![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))),
% 48.27/31.33 inference(rewrite,[status(thm)],[])).
% 48.27/31.33 tff(3368,plain,
% 48.27/31.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB7, constB8)) | (~v127(constB7, bitIndex0)) | v129(constB8, bitIndex0))),
% 48.27/31.33 inference(quant_inst,[status(thm)],[])).
% 48.27/31.33 tff(3369,plain,
% 48.27/31.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB7, constB8)) | (~v127(constB7, bitIndex0)) | v129(constB8, bitIndex0)),
% 48.27/31.33 inference(modus_ponens,[status(thm)],[3368, 3367])).
% 48.27/31.33 tff(3370,plain,
% 48.27/31.33 ((~v127(constB7, bitIndex0)) | v129(constB8, bitIndex0)),
% 48.27/31.33 inference(unit_resolution,[status(thm)],[3369, 944, 1338])).
% 48.27/31.33 tff(3371,plain,
% 48.27/31.33 (~v127(constB7, bitIndex0)),
% 48.27/31.33 inference(unit_resolution,[status(thm)],[3370, 3366])).
% 48.27/31.33 tff(3372,plain,
% 48.27/31.33 (((~![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))),
% 48.27/31.33 inference(rewrite,[status(thm)],[])).
% 48.27/31.33 tff(3373,plain,
% 48.27/31.33 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB7) | (~v130(constB7, bitIndex0)) | v127(constB7, bitIndex0))),
% 48.27/31.33 inference(quant_inst,[status(thm)],[])).
% 48.27/31.33 tff(3374,plain,
% 48.27/31.33 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB7) | (~v130(constB7, bitIndex0)) | v127(constB7, bitIndex0)),
% 48.27/31.33 inference(modus_ponens,[status(thm)],[3373, 3372])).
% 48.27/31.33 tff(3375,plain,
% 48.27/31.33 (~v130(constB7, bitIndex0)),
% 48.27/31.33 inference(unit_resolution,[status(thm)],[3374, 926, 3371, 3311])).
% 48.27/31.33 tff(3376,plain,
% 48.27/31.33 (((~![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))),
% 48.27/31.33 inference(rewrite,[status(thm)],[])).
% 48.27/31.33 tff(3377,plain,
% 48.27/31.33 ((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))),
% 48.27/31.33 inference(rewrite,[status(thm)],[])).
% 48.27/31.33 tff(3378,plain,
% 48.27/31.33 (((~![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)))),
% 48.27/31.33 inference(monotonicity,[status(thm)],[3377])).
% 48.27/31.33 tff(3379,plain,
% 48.27/31.33 (((~![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))),
% 48.27/31.33 inference(transitivity,[status(thm)],[3378, 3376])).
% 48.27/31.33 tff(3380,plain,
% 48.27/31.33 ((~![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))),
% 48.27/31.33 inference(quant_inst,[status(thm)],[])).
% 48.27/31.33 tff(3381,plain,
% 48.27/31.33 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB7) | v123(constB7) | v122(constB7) | v121(constB7) | v120(constB7) | v119(constB7) | v130(constB7, bitIndex0)),
% 48.27/31.33 inference(modus_ponens,[status(thm)],[3380, 3379])).
% 48.27/31.33 tff(3382,plain,
% 48.27/31.33 ($false),
% 48.27/31.33 inference(unit_resolution,[status(thm)],[3381, 908, 3375, 3357, 3346, 3335, 3331, 3327, 3322])).
% 48.27/31.33 tff(3383,plain,(v90(constB7, bitIndex2) | (~v90(constB8, bitIndex2)) | (~v90(constB8, bitIndex1)) | v90(constB8, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 48.27/31.33 tff(3384,plain,
% 48.27/31.33 ($false),
% 48.27/31.33 inference(unit_resolution,[status(thm)],[3383, 3283, 3263, 1275, 2892])).
% 48.27/31.33 tff(3385,plain,(v90(constB9, bitIndex0) | v90(constB10, bitIndex1) | v90(constB10, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 48.27/31.33 tff(3386,plain,
% 48.27/31.33 (v90(constB9, bitIndex0)),
% 48.27/31.33 inference(unit_resolution,[status(thm)],[3385, 2859, 2858])).
% 48.27/31.33 tff(3387,plain,
% 48.27/31.33 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB9, bitIndex0)) | v90(constB9, bitIndex1) | v90(constB9, bitIndex2) | v120(constB9))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB9, bitIndex0)) | v90(constB9, bitIndex1) | v90(constB9, bitIndex2) | v120(constB9))),
% 48.27/31.33 inference(rewrite,[status(thm)],[])).
% 48.27/31.33 tff(3388,plain,
% 48.27/31.33 (((~v90(constB9, bitIndex0)) | v120(constB9) | v90(constB9, bitIndex1) | v90(constB9, bitIndex2)) <=> ((~v90(constB9, bitIndex0)) | v90(constB9, bitIndex1) | v90(constB9, bitIndex2) | v120(constB9))),
% 48.27/31.33 inference(rewrite,[status(thm)],[])).
% 48.27/31.33 tff(3389,plain,
% 48.27/31.33 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB9, bitIndex0)) | v120(constB9) | v90(constB9, bitIndex1) | v90(constB9, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB9, bitIndex0)) | v90(constB9, bitIndex1) | v90(constB9, bitIndex2) | v120(constB9)))),
% 48.27/31.33 inference(monotonicity,[status(thm)],[3388])).
% 48.27/31.33 tff(3390,plain,
% 48.27/31.33 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB9, bitIndex0)) | v120(constB9) | v90(constB9, bitIndex1) | v90(constB9, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB9, bitIndex0)) | v90(constB9, bitIndex1) | v90(constB9, bitIndex2) | v120(constB9))),
% 48.27/31.33 inference(transitivity,[status(thm)],[3389, 3387])).
% 48.27/31.33 tff(3391,plain,
% 48.27/31.33 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB9, bitIndex0)) | v120(constB9) | v90(constB9, bitIndex1) | v90(constB9, bitIndex2))),
% 48.27/31.33 inference(quant_inst,[status(thm)],[])).
% 48.27/31.33 tff(3392,plain,
% 48.27/31.33 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB9, bitIndex0)) | v90(constB9, bitIndex1) | v90(constB9, bitIndex2) | v120(constB9)),
% 48.27/31.33 inference(modus_ponens,[status(thm)],[3391, 3390])).
% 48.27/31.33 tff(3393,plain,
% 48.27/31.33 (v90(constB9, bitIndex1) | v90(constB9, bitIndex2) | v120(constB9)),
% 48.27/31.33 inference(unit_resolution,[status(thm)],[3392, 1285, 3386])).
% 48.27/31.33 tff(3394,plain,
% 48.27/31.33 (v120(constB9)),
% 48.27/31.33 inference(unit_resolution,[status(thm)],[3393, 2882, 2874])).
% 48.27/31.33 tff(3395,plain,
% 48.27/31.33 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB9) | (~v120(constB9)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB9) | (~v120(constB9)))),
% 48.27/31.33 inference(rewrite,[status(thm)],[])).
% 48.27/31.33 tff(3396,plain,
% 48.27/31.33 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB9) | (~v120(constB9)))),
% 48.27/31.33 inference(quant_inst,[status(thm)],[])).
% 48.27/31.33 tff(3397,plain,
% 48.27/31.33 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB9) | (~v120(constB9))),
% 48.27/31.33 inference(modus_ponens,[status(thm)],[3396, 3395])).
% 48.27/31.33 tff(3398,plain,
% 48.27/31.33 (v118(constB9)),
% 48.27/31.33 inference(unit_resolution,[status(thm)],[3397, 1302, 3394])).
% 48.27/31.33 tff(3399,plain,
% 48.27/31.33 (v117(constB9)),
% 48.27/31.33 inference(unit_resolution,[status(thm)],[2904, 166, 3398])).
% 48.27/31.33 tff(3400,plain,
% 48.27/31.33 (v116(constB9)),
% 48.27/31.33 inference(unit_resolution,[status(thm)],[1569, 177, 3399])).
% 48.27/31.33 tff(3401,plain,
% 48.27/31.33 ($false),
% 48.27/31.33 inference(unit_resolution,[status(thm)],[1573, 188, 3400, 2866])).
% 48.27/31.33 tff(3402,plain,(v100(constB10) | v90(constB10, bitIndex1) | v90(constB10, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 48.27/31.33 tff(3403,plain,
% 48.27/31.33 (v100(constB10)),
% 48.27/31.33 inference(unit_resolution,[status(thm)],[3402, 2859, 2858])).
% 48.27/31.33 tff(3404,plain,
% 48.27/31.33 (v129(constB10, bitIndex0)),
% 48.27/31.33 inference(unit_resolution,[status(thm)],[3053, 3403])).
% 48.27/31.33 tff(3405,plain,
% 48.27/31.33 (v127(constB9, bitIndex0)),
% 48.27/31.33 inference(unit_resolution,[status(thm)],[3058, 3404])).
% 48.27/31.33 tff(3406,plain,
% 48.27/31.33 (v130(constB9, bitIndex0)),
% 48.27/31.33 inference(unit_resolution,[status(thm)],[3066, 3405])).
% 48.27/31.33 tff(3407,plain,
% 48.27/31.33 (~v120(constB9)),
% 48.27/31.33 inference(unit_resolution,[status(thm)],[3074, 1492, 3406])).
% 48.27/31.33 tff(3408,plain,
% 48.27/31.33 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr))) <=> ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr))))),
% 48.27/31.33 inference(bind,[status(th)],[])).
% 48.27/31.33 tff(3409,plain,
% 48.27/31.33 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))),
% 48.27/31.33 inference(quant_intro,[status(thm)],[3408])).
% 48.27/31.33 tff(3410,plain,
% 48.27/31.33 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))),
% 48.27/31.33 inference(rewrite,[status(thm)],[])).
% 48.27/31.33 tff(3411,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_4')).
% 48.27/31.33 tff(3412,plain,
% 48.27/31.33 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))),
% 48.27/31.34 inference(modus_ponens,[status(thm)],[3411, 3410])).
% 48.27/31.34 tff(3413,plain,(
% 48.27/31.34 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))),
% 48.27/31.34 inference(skolemize,[status(sab)],[3412])).
% 48.27/31.34 tff(3414,plain,
% 48.27/31.34 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))),
% 48.27/31.34 inference(modus_ponens,[status(thm)],[3413, 3409])).
% 48.27/31.34 tff(3415,plain,
% 48.27/31.34 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v90(constB9, bitIndex0)) | (~v119(constB9)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v90(constB9, bitIndex0)) | (~v119(constB9)))),
% 48.27/31.34 inference(rewrite,[status(thm)],[])).
% 48.27/31.34 tff(3416,plain,
% 48.27/31.34 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v90(constB9, bitIndex0)) | (~v119(constB9)))),
% 48.27/31.34 inference(quant_inst,[status(thm)],[])).
% 48.27/31.34 tff(3417,plain,
% 48.27/31.34 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v90(constB9, bitIndex0)) | (~v119(constB9))),
% 48.27/31.34 inference(modus_ponens,[status(thm)],[3416, 3415])).
% 48.27/31.34 tff(3418,plain,
% 48.27/31.34 (~v119(constB9)),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[3417, 3414, 3386])).
% 48.27/31.34 tff(3419,plain,
% 48.27/31.34 (v120(constB9) | (~v118(constB9))),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[3088, 3085, 3418])).
% 48.27/31.34 tff(3420,plain,
% 48.27/31.34 (~v118(constB9)),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[3419, 3407])).
% 48.27/31.34 tff(3421,plain,
% 48.27/31.34 (~v121(constB9)),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[3034, 3031, 3386])).
% 48.27/31.34 tff(3422,plain,
% 48.27/31.34 (v118(constB9) | (~v117(constB9))),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[3106, 3103, 3421])).
% 48.27/31.34 tff(3423,plain,
% 48.27/31.34 (~v117(constB9)),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[3422, 3420])).
% 48.27/31.34 tff(3424,plain,
% 48.27/31.34 (~v122(constB9)),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[3110, 1997, 3406])).
% 48.27/31.34 tff(3425,plain,
% 48.27/31.34 (~v116(constB9)),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[3124, 3121, 3424, 3423])).
% 48.27/31.34 tff(3426,plain,
% 48.27/31.34 (v110(constB10)),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[3188, 3403])).
% 48.27/31.34 tff(3427,plain,
% 48.27/31.34 (v108(constB9)),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[3206, 3426])).
% 48.27/31.34 tff(3428,plain,
% 48.27/31.34 (v112(constB9)),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[3224, 3427])).
% 48.27/31.34 tff(3429,plain,
% 48.27/31.34 (v113(constB9)),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[3235, 3232, 3428])).
% 48.27/31.34 tff(3430,plain,
% 48.27/31.34 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr))) <=> ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr))))),
% 48.27/31.34 inference(bind,[status(th)],[])).
% 48.27/31.34 tff(3431,plain,
% 48.27/31.34 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr)))),
% 48.27/31.34 inference(quant_intro,[status(thm)],[3430])).
% 48.27/31.34 tff(3432,plain,
% 48.27/31.34 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr)))),
% 48.27/31.34 inference(rewrite,[status(thm)],[])).
% 48.27/31.34 tff(3433,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_8_1_1_4')).
% 48.27/31.34 tff(3434,plain,
% 48.27/31.34 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr)))),
% 48.27/31.34 inference(modus_ponens,[status(thm)],[3433, 3432])).
% 48.27/31.34 tff(3435,plain,(
% 48.27/31.34 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr)))),
% 48.27/31.34 inference(skolemize,[status(sab)],[3434])).
% 48.27/31.34 tff(3436,plain,
% 48.27/31.34 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr)))),
% 48.27/31.34 inference(modus_ponens,[status(thm)],[3435, 3431])).
% 48.27/31.34 tff(3437,plain,
% 48.27/31.34 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr)))) | ((~v90(constB9, bitIndex0)) | (~v125(constB9)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr)))) | (~v90(constB9, bitIndex0)) | (~v125(constB9)))),
% 48.27/31.34 inference(rewrite,[status(thm)],[])).
% 48.27/31.34 tff(3438,plain,
% 48.27/31.34 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr)))) | ((~v90(constB9, bitIndex0)) | (~v125(constB9)))),
% 48.27/31.34 inference(quant_inst,[status(thm)],[])).
% 48.27/31.34 tff(3439,plain,
% 48.27/31.34 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr)))) | (~v90(constB9, bitIndex0)) | (~v125(constB9))),
% 48.27/31.34 inference(modus_ponens,[status(thm)],[3438, 3437])).
% 48.27/31.34 tff(3440,plain,
% 48.27/31.34 (~v125(constB9)),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[3439, 3436, 3386])).
% 48.27/31.34 tff(3441,plain,
% 48.27/31.34 (v114(constB9) | (~v113(constB9))),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[3249, 3246, 3440])).
% 48.27/31.34 tff(3442,plain,
% 48.27/31.34 (v114(constB9)),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[3441, 3429])).
% 48.27/31.34 tff(3443,plain,
% 48.27/31.34 (~v129(constB10, bitIndex1)),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[3036, 3403])).
% 48.27/31.34 tff(3444,plain,
% 48.27/31.34 (~v127(constB9, bitIndex1)),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[1720, 3443])).
% 48.27/31.34 tff(3445,plain,
% 48.27/31.34 (~v130(constB9, bitIndex1)),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[1715, 3444])).
% 48.27/31.34 tff(3446,plain,
% 48.27/31.34 (~v124(constB9)),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[3158, 3155, 3445])).
% 48.27/31.34 tff(3447,plain,
% 48.27/31.34 (v115(constB9)),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[3172, 3169, 3446, 3442])).
% 48.27/31.34 tff(3448,plain,
% 48.27/31.34 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr))) <=> ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr))))),
% 48.27/31.34 inference(bind,[status(th)],[])).
% 48.27/31.34 tff(3449,plain,
% 48.27/31.34 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))),
% 48.27/31.34 inference(quant_intro,[status(thm)],[3448])).
% 48.27/31.34 tff(3450,plain,
% 48.27/31.34 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))),
% 48.27/31.34 inference(rewrite,[status(thm)],[])).
% 48.27/31.34 tff(3451,axiom,(![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6_1_1_4')).
% 48.27/31.34 tff(3452,plain,
% 48.27/31.34 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))),
% 48.27/31.34 inference(modus_ponens,[status(thm)],[3451, 3450])).
% 48.27/31.34 tff(3453,plain,(
% 48.27/31.34 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))),
% 48.27/31.34 inference(skolemize,[status(sab)],[3452])).
% 48.27/31.34 tff(3454,plain,
% 48.27/31.34 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))),
% 48.27/31.34 inference(modus_ponens,[status(thm)],[3453, 3449])).
% 48.27/31.34 tff(3455,plain,
% 48.27/31.34 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | ((~v90(constB9, bitIndex0)) | (~v123(constB9)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | (~v90(constB9, bitIndex0)) | (~v123(constB9)))),
% 48.27/31.34 inference(rewrite,[status(thm)],[])).
% 48.27/31.34 tff(3456,plain,
% 48.27/31.34 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | ((~v90(constB9, bitIndex0)) | (~v123(constB9)))),
% 48.27/31.34 inference(quant_inst,[status(thm)],[])).
% 48.27/31.34 tff(3457,plain,
% 48.27/31.34 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | (~v90(constB9, bitIndex0)) | (~v123(constB9))),
% 48.27/31.34 inference(modus_ponens,[status(thm)],[3456, 3455])).
% 48.27/31.34 tff(3458,plain,
% 48.27/31.34 (~v123(constB9)),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[3457, 3454, 3386])).
% 48.27/31.34 tff(3459,plain,
% 48.27/31.34 (v116(constB9) | (~v115(constB9))),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[3143, 3140, 3458])).
% 48.27/31.34 tff(3460,plain,
% 48.27/31.34 ($false),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[3459, 3447, 3425])).
% 48.27/31.34 tff(3461,plain,(v90(constB10, bitIndex1) | v90(constB10, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 48.27/31.34 tff(3462,plain,
% 48.27/31.34 (v90(constB10, bitIndex1)),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[3461, 2858])).
% 48.27/31.34 tff(3463,plain,
% 48.27/31.34 (v90(constB11, bitIndex1)),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[1737, 3462])).
% 48.27/31.34 tff(3464,plain,
% 48.27/31.34 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB11)) | (~v90(constB11, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB11)) | (~v90(constB11, bitIndex1)))),
% 48.27/31.34 inference(rewrite,[status(thm)],[])).
% 48.27/31.34 tff(3465,plain,
% 48.27/31.34 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB11)) | (~v90(constB11, bitIndex1)))),
% 48.27/31.34 inference(quant_inst,[status(thm)],[])).
% 48.27/31.34 tff(3466,plain,
% 48.27/31.34 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB11)) | (~v90(constB11, bitIndex1))),
% 48.27/31.34 inference(modus_ponens,[status(thm)],[3465, 3464])).
% 48.27/31.34 tff(3467,plain,
% 48.27/31.34 (~v119(constB11)),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[3466, 2293, 3463])).
% 48.27/31.34 tff(3468,plain,
% 48.27/31.34 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB11, bitIndex1)) | (~v120(constB11)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB11, bitIndex1)) | (~v120(constB11)))),
% 48.27/31.34 inference(rewrite,[status(thm)],[])).
% 48.27/31.34 tff(3469,plain,
% 48.27/31.34 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB11, bitIndex1)) | (~v120(constB11)))),
% 48.27/31.34 inference(quant_inst,[status(thm)],[])).
% 48.27/31.34 tff(3470,plain,
% 48.27/31.34 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB11, bitIndex1)) | (~v120(constB11))),
% 48.27/31.34 inference(modus_ponens,[status(thm)],[3469, 3468])).
% 48.27/31.34 tff(3471,plain,
% 48.27/31.34 (~v120(constB11)),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[3470, 2312, 3463])).
% 48.27/31.34 tff(3472,plain,
% 48.27/31.34 (~v90(constB11, bitIndex2)),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[1696, 2858])).
% 48.27/31.34 tff(3473,plain,
% 48.27/31.34 (((~![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)))),
% 48.27/31.34 inference(rewrite,[status(thm)],[])).
% 48.27/31.34 tff(3474,plain,
% 48.27/31.34 (((~nextState(constB11, constB12)) | v90(constB11, bitIndex2) | v100(constB12) | (~v90(constB12, bitIndex2))) <=> (v90(constB11, bitIndex2) | (~nextState(constB11, constB12)) | v100(constB12) | (~v90(constB12, bitIndex2)))),
% 48.27/31.34 inference(rewrite,[status(thm)],[])).
% 48.27/31.34 tff(3475,plain,
% 48.27/31.34 (((~![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))))),
% 48.27/31.34 inference(monotonicity,[status(thm)],[3474])).
% 48.27/31.34 tff(3476,plain,
% 48.27/31.34 (((~![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)))),
% 48.27/31.34 inference(transitivity,[status(thm)],[3475, 3473])).
% 48.27/31.34 tff(3477,plain,
% 48.27/31.34 ((~![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)))),
% 48.27/31.34 inference(quant_inst,[status(thm)],[])).
% 48.27/31.34 tff(3478,plain,
% 48.27/31.34 ((~![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))),
% 48.27/31.34 inference(modus_ponens,[status(thm)],[3477, 3476])).
% 48.27/31.34 tff(3479,plain,
% 48.27/31.34 (v90(constB11, bitIndex2) | v100(constB12) | (~v90(constB12, bitIndex2))),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[3478, 81, 1832])).
% 48.27/31.34 tff(3480,plain,
% 48.27/31.34 (v100(constB12)),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[3479, 3472, 2822])).
% 48.27/31.34 tff(3481,plain,
% 48.27/31.34 (v129(constB12, bitIndex0)),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[2814, 3480])).
% 48.27/31.34 tff(3482,plain,
% 48.27/31.34 (v127(constB11, bitIndex0)),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[2013, 3481])).
% 48.27/31.34 tff(3483,plain,
% 48.27/31.34 (v130(constB11, bitIndex0)),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[2008, 3482])).
% 48.27/31.34 tff(3484,plain,
% 48.27/31.34 (~v122(constB11)),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[2000, 1997, 3483])).
% 48.27/31.34 tff(3485,plain,
% 48.27/31.34 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB11, bitIndex1)) | (~v123(constB11)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB11, bitIndex1)) | (~v123(constB11)))),
% 48.27/31.34 inference(rewrite,[status(thm)],[])).
% 48.27/31.34 tff(3486,plain,
% 48.27/31.34 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB11, bitIndex1)) | (~v123(constB11)))),
% 48.27/31.34 inference(quant_inst,[status(thm)],[])).
% 48.27/31.34 tff(3487,plain,
% 48.27/31.34 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB11, bitIndex1)) | (~v123(constB11))),
% 48.27/31.34 inference(modus_ponens,[status(thm)],[3486, 3485])).
% 48.27/31.34 tff(3488,plain,
% 48.27/31.34 (~v123(constB11)),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[3487, 774, 3463])).
% 48.27/31.34 tff(3489,plain,
% 48.27/31.34 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB11, bitIndex1)) | (~v124(constB11)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB11, bitIndex1)) | (~v124(constB11)))),
% 48.27/31.34 inference(rewrite,[status(thm)],[])).
% 48.27/31.34 tff(3490,plain,
% 48.27/31.34 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB11, bitIndex1)) | (~v124(constB11)))),
% 48.27/31.34 inference(quant_inst,[status(thm)],[])).
% 48.27/31.34 tff(3491,plain,
% 48.27/31.34 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB11, bitIndex1)) | (~v124(constB11))),
% 48.27/31.34 inference(modus_ponens,[status(thm)],[3490, 3489])).
% 48.27/31.34 tff(3492,plain,
% 48.27/31.34 (~v124(constB11)),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[3491, 763, 3463])).
% 48.27/31.34 tff(3493,plain,
% 48.27/31.34 (v129(constB12, bitIndex1)),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[2809, 3480])).
% 48.27/31.34 tff(3494,plain,
% 48.27/31.34 (v127(constB11, bitIndex1)),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[1969, 3493])).
% 48.27/31.34 tff(3495,plain,
% 48.27/31.34 (v130(constB11, bitIndex1)),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[1964, 3494])).
% 48.27/31.34 tff(3496,plain,
% 48.27/31.34 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB11) | v123(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)))) | v124(constB11) | v123(constB11) | v122(constB11) | v121(constB11) | v120(constB11) | v119(constB11) | (~v130(constB11, bitIndex1)))),
% 48.27/31.34 inference(rewrite,[status(thm)],[])).
% 48.27/31.34 tff(3497,plain,
% 48.27/31.34 ((v120(constB11) | v119(constB11) | v121(constB11) | v122(constB11) | v123(constB11) | v124(constB11) | (~v130(constB11, bitIndex1))) <=> (v124(constB11) | v123(constB11) | v122(constB11) | v121(constB11) | v120(constB11) | v119(constB11) | (~v130(constB11, bitIndex1)))),
% 48.27/31.34 inference(rewrite,[status(thm)],[])).
% 48.27/31.34 tff(3498,plain,
% 48.27/31.34 (((~![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)))) | (v124(constB11) | v123(constB11) | v122(constB11) | v121(constB11) | v120(constB11) | v119(constB11) | (~v130(constB11, bitIndex1))))),
% 48.27/31.34 inference(monotonicity,[status(thm)],[3497])).
% 48.27/31.34 tff(3499,plain,
% 48.27/31.34 (((~![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)))) | v124(constB11) | v123(constB11) | v122(constB11) | v121(constB11) | v120(constB11) | v119(constB11) | (~v130(constB11, bitIndex1)))),
% 48.27/31.34 inference(transitivity,[status(thm)],[3498, 3496])).
% 48.27/31.34 tff(3500,plain,
% 48.27/31.34 ((~![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)))),
% 48.27/31.34 inference(quant_inst,[status(thm)],[])).
% 48.27/31.34 tff(3501,plain,
% 48.27/31.34 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB11) | v123(constB11) | v122(constB11) | v121(constB11) | v120(constB11) | v119(constB11) | (~v130(constB11, bitIndex1))),
% 48.27/31.34 inference(modus_ponens,[status(thm)],[3500, 3499])).
% 48.27/31.34 tff(3502,plain,
% 48.27/31.34 (v121(constB11)),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[3501, 1143, 3495, 3492, 3488, 3484, 3471, 3467])).
% 48.27/31.34 tff(3503,plain,
% 48.27/31.34 (v129(constB12, bitIndex2)),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[2829, 3480])).
% 48.27/31.34 tff(3504,plain,
% 48.27/31.34 (v127(constB11, bitIndex2)),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[2834, 3503])).
% 48.27/31.34 tff(3505,plain,
% 48.27/31.34 (v130(constB11, bitIndex2)),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[2842, 3504])).
% 48.27/31.34 tff(3506,plain,
% 48.27/31.34 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB11)) | (~v130(constB11, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB11)) | (~v130(constB11, bitIndex2)))),
% 48.27/31.34 inference(rewrite,[status(thm)],[])).
% 48.27/31.34 tff(3507,plain,
% 48.27/31.34 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB11)) | (~v130(constB11, bitIndex2)))),
% 48.27/31.34 inference(quant_inst,[status(thm)],[])).
% 48.27/31.34 tff(3508,plain,
% 48.27/31.34 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB11)) | (~v130(constB11, bitIndex2))),
% 48.27/31.34 inference(modus_ponens,[status(thm)],[3507, 3506])).
% 48.27/31.34 tff(3509,plain,
% 48.27/31.34 ($false),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[3508, 1645, 3505, 3502])).
% 48.27/31.34 tff(3510,plain,(v90(constB10, bitIndex2) | (~v90(constB12, bitIndex2)) | (~v90(constB12, bitIndex1)) | (~v90(constB12, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 48.27/31.34 tff(3511,plain,
% 48.27/31.34 (v90(constB10, bitIndex2)),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[3510, 2822, 2808, 2813])).
% 48.27/31.34 tff(3512,plain,
% 48.27/31.34 (((~![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))),
% 48.27/31.34 inference(rewrite,[status(thm)],[])).
% 48.27/31.34 tff(3513,plain,
% 48.27/31.34 (((~nextState(constB10, constB11)) | (~v90(constB10, bitIndex2)) | v100(constB11) | v90(constB11, bitIndex2)) <=> ((~v90(constB10, bitIndex2)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, bitIndex2))),
% 48.27/31.34 inference(rewrite,[status(thm)],[])).
% 48.27/31.34 tff(3514,plain,
% 48.27/31.34 (((~![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)))),
% 48.27/31.34 inference(monotonicity,[status(thm)],[3513])).
% 48.27/31.34 tff(3515,plain,
% 48.27/31.34 (((~![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))),
% 48.27/31.34 inference(transitivity,[status(thm)],[3514, 3512])).
% 48.27/31.34 tff(3516,plain,
% 48.27/31.34 ((~![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))),
% 48.27/31.34 inference(quant_inst,[status(thm)],[])).
% 48.27/31.34 tff(3517,plain,
% 48.27/31.34 ((~![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)),
% 48.27/31.34 inference(modus_ponens,[status(thm)],[3516, 3515])).
% 48.27/31.34 tff(3518,plain,
% 48.27/31.34 ((~v90(constB10, bitIndex2)) | v100(constB11) | v90(constB11, bitIndex2)),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[3517, 417, 1676])).
% 48.27/31.34 tff(3519,plain,
% 48.27/31.34 ((~v90(constB10, bitIndex2)) | v90(constB11, bitIndex2)),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[3518, 1688])).
% 48.27/31.34 tff(3520,plain,
% 48.27/31.34 (v90(constB11, bitIndex2)),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[3519, 3511])).
% 48.27/31.34 tff(3521,plain,
% 48.27/31.34 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB11)) | (~v90(constB11, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB11)) | (~v90(constB11, bitIndex2)))),
% 48.27/31.34 inference(rewrite,[status(thm)],[])).
% 48.27/31.34 tff(3522,plain,
% 48.27/31.34 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB11)) | (~v90(constB11, bitIndex2)))),
% 48.27/31.34 inference(quant_inst,[status(thm)],[])).
% 48.27/31.34 tff(3523,plain,
% 48.27/31.34 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB11)) | (~v90(constB11, bitIndex2))),
% 48.27/31.34 inference(modus_ponens,[status(thm)],[3522, 3521])).
% 48.27/31.34 tff(3524,plain,
% 48.27/31.34 (~v119(constB11)),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[3523, 861, 3520])).
% 48.27/31.34 tff(3525,plain,
% 48.27/31.34 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | ((~v90(constB11, bitIndex2)) | (~v120(constB11)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | (~v90(constB11, bitIndex2)) | (~v120(constB11)))),
% 48.27/31.34 inference(rewrite,[status(thm)],[])).
% 48.27/31.34 tff(3526,plain,
% 48.27/31.34 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | ((~v90(constB11, bitIndex2)) | (~v120(constB11)))),
% 48.27/31.34 inference(quant_inst,[status(thm)],[])).
% 48.27/31.34 tff(3527,plain,
% 48.27/31.34 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | (~v90(constB11, bitIndex2)) | (~v120(constB11))),
% 48.27/31.34 inference(modus_ponens,[status(thm)],[3526, 3525])).
% 48.27/31.34 tff(3528,plain,
% 48.27/31.34 (~v120(constB11)),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[3527, 872, 3520])).
% 48.27/31.34 tff(3529,plain,
% 48.27/31.34 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB11, bitIndex2)) | (~v122(constB11)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB11, bitIndex2)) | (~v122(constB11)))),
% 48.27/31.34 inference(rewrite,[status(thm)],[])).
% 48.27/31.34 tff(3530,plain,
% 48.27/31.34 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB11, bitIndex2)) | (~v122(constB11)))),
% 48.27/31.34 inference(quant_inst,[status(thm)],[])).
% 48.27/31.34 tff(3531,plain,
% 48.27/31.34 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB11, bitIndex2)) | (~v122(constB11))),
% 48.27/31.34 inference(modus_ponens,[status(thm)],[3530, 3529])).
% 48.27/31.34 tff(3532,plain,
% 48.27/31.34 (~v122(constB11)),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[3531, 894, 3520])).
% 48.27/31.34 tff(3533,plain,
% 48.27/31.34 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB11, bitIndex2)) | (~v121(constB11)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB11, bitIndex2)) | (~v121(constB11)))),
% 48.27/31.34 inference(rewrite,[status(thm)],[])).
% 48.27/31.34 tff(3534,plain,
% 48.27/31.34 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB11, bitIndex2)) | (~v121(constB11)))),
% 48.27/31.34 inference(quant_inst,[status(thm)],[])).
% 48.27/31.34 tff(3535,plain,
% 48.27/31.34 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB11, bitIndex2)) | (~v121(constB11))),
% 48.27/31.34 inference(modus_ponens,[status(thm)],[3534, 3533])).
% 48.27/31.34 tff(3536,plain,
% 48.27/31.34 (~v121(constB11)),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[3535, 883, 3520])).
% 48.27/31.34 tff(3537,plain,
% 48.27/31.34 (v124(constB11) | v123(constB11) | (~v130(constB11, bitIndex1))),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[3501, 1143, 3536, 3532, 3528, 3524])).
% 48.27/31.34 tff(3538,plain,
% 48.27/31.34 ($false),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[3537, 2857, 2821, 2812])).
% 48.27/31.34 tff(3539,plain,((~v100(constB12)) | (~v90(constB12, bitIndex2)) | (~v90(constB12, bitIndex1)) | (~v90(constB12, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 48.27/31.34 tff(3540,plain,
% 48.27/31.34 (~v100(constB12)),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[3539, 2806, 2788, 2778])).
% 48.27/31.34 tff(3541,plain,
% 48.27/31.34 (((~![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)))),
% 48.27/31.34 inference(rewrite,[status(thm)],[])).
% 48.27/31.34 tff(3542,plain,
% 48.27/31.34 (((~nextState(constB11, constB12)) | v90(constB11, bitIndex0) | v100(constB12) | (~v90(constB12, bitIndex0))) <=> (v90(constB11, bitIndex0) | (~nextState(constB11, constB12)) | v100(constB12) | (~v90(constB12, bitIndex0)))),
% 48.27/31.34 inference(rewrite,[status(thm)],[])).
% 48.27/31.34 tff(3543,plain,
% 48.27/31.34 (((~![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))))),
% 48.27/31.34 inference(monotonicity,[status(thm)],[3542])).
% 48.27/31.34 tff(3544,plain,
% 48.27/31.34 (((~![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)))),
% 48.27/31.34 inference(transitivity,[status(thm)],[3543, 3541])).
% 48.27/31.34 tff(3545,plain,
% 48.27/31.34 ((~![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)))),
% 48.27/31.34 inference(quant_inst,[status(thm)],[])).
% 48.27/31.34 tff(3546,plain,
% 48.27/31.34 ((~![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))),
% 48.27/31.34 inference(modus_ponens,[status(thm)],[3545, 3544])).
% 48.27/31.34 tff(3547,plain,
% 48.27/31.34 (v90(constB11, bitIndex0) | v100(constB12) | (~v90(constB12, bitIndex0))),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[3546, 123, 1832])).
% 48.27/31.34 tff(3548,plain,
% 48.27/31.34 (v90(constB11, bitIndex0)),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[3547, 3540, 2778])).
% 48.27/31.34 tff(3549,plain,
% 48.27/31.34 (((~![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)))),
% 48.27/31.34 inference(rewrite,[status(thm)],[])).
% 48.27/31.34 tff(3550,plain,
% 48.27/31.34 (((~nextState(constB10, constB11)) | v90(constB10, bitIndex0) | v100(constB11) | (~v90(constB11, bitIndex0))) <=> (v90(constB10, bitIndex0) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex0)))),
% 48.27/31.34 inference(rewrite,[status(thm)],[])).
% 48.27/31.34 tff(3551,plain,
% 48.27/31.34 (((~![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))))),
% 48.27/31.34 inference(monotonicity,[status(thm)],[3550])).
% 48.27/31.34 tff(3552,plain,
% 48.27/31.34 (((~![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)))),
% 48.27/31.34 inference(transitivity,[status(thm)],[3551, 3549])).
% 48.27/31.34 tff(3553,plain,
% 48.27/31.34 ((~![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)))),
% 48.27/31.34 inference(quant_inst,[status(thm)],[])).
% 48.27/31.34 tff(3554,plain,
% 48.27/31.34 ((~![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))),
% 48.27/31.34 inference(modus_ponens,[status(thm)],[3553, 3552])).
% 48.27/31.34 tff(3555,plain,
% 48.27/31.34 (v90(constB10, bitIndex0) | v100(constB11) | (~v90(constB11, bitIndex0))),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[3554, 123, 1676])).
% 48.27/31.34 tff(3556,plain,
% 48.27/31.34 (v90(constB10, bitIndex0) | (~v90(constB11, bitIndex0))),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[3555, 1688])).
% 48.27/31.34 tff(3557,plain,
% 48.27/31.34 (v90(constB10, bitIndex0)),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[3556, 3548])).
% 48.27/31.34 tff(3558,plain,
% 48.27/31.34 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | ((~v90(constB10, bitIndex0)) | (~v123(constB10)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | (~v90(constB10, bitIndex0)) | (~v123(constB10)))),
% 48.27/31.34 inference(rewrite,[status(thm)],[])).
% 48.27/31.34 tff(3559,plain,
% 48.27/31.34 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | ((~v90(constB10, bitIndex0)) | (~v123(constB10)))),
% 48.27/31.34 inference(quant_inst,[status(thm)],[])).
% 48.27/31.34 tff(3560,plain,
% 48.27/31.34 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | (~v90(constB10, bitIndex0)) | (~v123(constB10))),
% 48.27/31.34 inference(modus_ponens,[status(thm)],[3559, 3558])).
% 48.27/31.34 tff(3561,plain,
% 48.27/31.34 (~v123(constB10)),
% 48.27/31.34 inference(unit_resolution,[status(thm)],[3560, 3454, 3557])).
% 48.27/31.34 tff(3562,plain,
% 48.27/31.34 (((~![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)))),
% 48.27/31.35 inference(rewrite,[status(thm)],[])).
% 48.27/31.35 tff(3563,plain,
% 48.27/31.35 (((~nextState(constB11, constB12)) | v90(constB11, bitIndex1) | v100(constB12) | (~v90(constB12, bitIndex1))) <=> (v90(constB11, bitIndex1) | (~nextState(constB11, constB12)) | v100(constB12) | (~v90(constB12, bitIndex1)))),
% 48.27/31.35 inference(rewrite,[status(thm)],[])).
% 48.27/31.35 tff(3564,plain,
% 48.27/31.35 (((~![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))))),
% 48.27/31.35 inference(monotonicity,[status(thm)],[3563])).
% 48.27/31.35 tff(3565,plain,
% 48.27/31.35 (((~![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)))),
% 48.27/31.35 inference(transitivity,[status(thm)],[3564, 3562])).
% 48.27/31.35 tff(3566,plain,
% 48.27/31.35 ((~![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)))),
% 48.27/31.35 inference(quant_inst,[status(thm)],[])).
% 48.27/31.35 tff(3567,plain,
% 48.27/31.35 ((~![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))),
% 48.27/31.35 inference(modus_ponens,[status(thm)],[3566, 3565])).
% 48.27/31.35 tff(3568,plain,
% 48.27/31.35 (v90(constB11, bitIndex1) | v100(constB12) | (~v90(constB12, bitIndex1))),
% 48.27/31.35 inference(unit_resolution,[status(thm)],[3567, 102, 1832])).
% 48.27/31.35 tff(3569,plain,
% 48.27/31.35 (v90(constB11, bitIndex1)),
% 48.27/31.35 inference(unit_resolution,[status(thm)],[3568, 3540, 2788])).
% 48.27/31.35 tff(3570,plain,
% 48.27/31.35 (((~![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)))),
% 48.27/31.35 inference(rewrite,[status(thm)],[])).
% 48.27/31.35 tff(3571,plain,
% 48.27/31.35 (((~nextState(constB10, constB11)) | v90(constB10, bitIndex1) | v100(constB11) | (~v90(constB11, bitIndex1))) <=> (v90(constB10, bitIndex1) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, bitIndex1)))),
% 48.27/31.35 inference(rewrite,[status(thm)],[])).
% 48.27/31.35 tff(3572,plain,
% 48.27/31.35 (((~![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))))),
% 48.27/31.35 inference(monotonicity,[status(thm)],[3571])).
% 48.27/31.35 tff(3573,plain,
% 48.27/31.35 (((~![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)))),
% 48.27/31.35 inference(transitivity,[status(thm)],[3572, 3570])).
% 48.27/31.35 tff(3574,plain,
% 48.27/31.35 ((~![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)))),
% 48.27/31.35 inference(quant_inst,[status(thm)],[])).
% 48.27/31.35 tff(3575,plain,
% 48.27/31.35 ((~![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))),
% 48.27/31.35 inference(modus_ponens,[status(thm)],[3574, 3573])).
% 48.27/31.35 tff(3576,plain,
% 48.27/31.35 (v90(constB10, bitIndex1) | v100(constB11) | (~v90(constB11, bitIndex1))),
% 48.27/31.35 inference(unit_resolution,[status(thm)],[3575, 102, 1676])).
% 48.27/31.35 tff(3577,plain,
% 48.27/31.35 (v90(constB10, bitIndex1) | (~v90(constB11, bitIndex1))),
% 48.27/31.35 inference(unit_resolution,[status(thm)],[3576, 1688])).
% 48.27/31.35 tff(3578,plain,
% 48.27/31.35 (v90(constB10, bitIndex1)),
% 48.27/31.35 inference(unit_resolution,[status(thm)],[3577, 3569])).
% 48.27/31.35 tff(3579,plain,
% 48.27/31.35 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB10, bitIndex1)) | (~v124(constB10)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB10, bitIndex1)) | (~v124(constB10)))),
% 48.27/31.35 inference(rewrite,[status(thm)],[])).
% 48.27/31.35 tff(3580,plain,
% 48.27/31.35 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB10, bitIndex1)) | (~v124(constB10)))),
% 48.27/31.35 inference(quant_inst,[status(thm)],[])).
% 48.27/31.35 tff(3581,plain,
% 48.27/31.35 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB10, bitIndex1)) | (~v124(constB10))),
% 48.27/31.35 inference(modus_ponens,[status(thm)],[3580, 3579])).
% 48.27/31.35 tff(3582,plain,
% 48.27/31.35 (~v124(constB10)),
% 48.27/31.35 inference(unit_resolution,[status(thm)],[3581, 763, 3578])).
% 48.27/31.35 tff(3583,plain,
% 48.27/31.35 (v90(constB10, bitIndex2)),
% 48.27/31.35 inference(unit_resolution,[status(thm)],[3510, 2806, 2788, 2778])).
% 48.27/31.35 tff(3584,plain,
% 48.27/31.35 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB10, bitIndex2)) | (~v122(constB10)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB10, bitIndex2)) | (~v122(constB10)))),
% 48.27/31.35 inference(rewrite,[status(thm)],[])).
% 48.27/31.35 tff(3585,plain,
% 48.27/31.35 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB10, bitIndex2)) | (~v122(constB10)))),
% 48.27/31.35 inference(quant_inst,[status(thm)],[])).
% 48.27/31.35 tff(3586,plain,
% 48.27/31.35 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB10, bitIndex2)) | (~v122(constB10))),
% 48.27/31.35 inference(modus_ponens,[status(thm)],[3585, 3584])).
% 48.27/31.35 tff(3587,plain,
% 48.27/31.35 (~v122(constB10)),
% 48.27/31.35 inference(unit_resolution,[status(thm)],[3586, 894, 3583])).
% 48.27/31.35 tff(3588,plain,
% 48.27/31.35 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB10, bitIndex2)) | (~v121(constB10)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB10, bitIndex2)) | (~v121(constB10)))),
% 48.27/31.35 inference(rewrite,[status(thm)],[])).
% 48.27/31.35 tff(3589,plain,
% 48.27/31.35 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB10, bitIndex2)) | (~v121(constB10)))),
% 48.27/31.35 inference(quant_inst,[status(thm)],[])).
% 48.27/31.35 tff(3590,plain,
% 48.27/31.35 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB10, bitIndex2)) | (~v121(constB10))),
% 48.27/31.35 inference(modus_ponens,[status(thm)],[3589, 3588])).
% 48.27/31.35 tff(3591,plain,
% 48.27/31.35 (~v121(constB10)),
% 48.27/31.35 inference(unit_resolution,[status(thm)],[3590, 883, 3583])).
% 48.27/31.35 tff(3592,plain,
% 48.27/31.35 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | ((~v90(constB10, bitIndex2)) | (~v120(constB10)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | (~v90(constB10, bitIndex2)) | (~v120(constB10)))),
% 48.27/31.35 inference(rewrite,[status(thm)],[])).
% 48.27/31.35 tff(3593,plain,
% 48.27/31.35 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | ((~v90(constB10, bitIndex2)) | (~v120(constB10)))),
% 48.27/31.35 inference(quant_inst,[status(thm)],[])).
% 48.27/31.35 tff(3594,plain,
% 48.27/31.35 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v120(VarCurr)))) | (~v90(constB10, bitIndex2)) | (~v120(constB10))),
% 48.27/31.35 inference(modus_ponens,[status(thm)],[3593, 3592])).
% 48.27/31.35 tff(3595,plain,
% 48.27/31.35 (~v120(constB10)),
% 48.27/31.35 inference(unit_resolution,[status(thm)],[3594, 872, 3583])).
% 48.27/31.35 tff(3596,plain,
% 48.27/31.35 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB10)) | (~v90(constB10, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB10)) | (~v90(constB10, bitIndex2)))),
% 48.27/31.35 inference(rewrite,[status(thm)],[])).
% 48.27/31.35 tff(3597,plain,
% 48.27/31.35 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB10)) | (~v90(constB10, bitIndex2)))),
% 48.27/31.35 inference(quant_inst,[status(thm)],[])).
% 48.27/31.35 tff(3598,plain,
% 48.27/31.35 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB10)) | (~v90(constB10, bitIndex2))),
% 48.27/31.35 inference(modus_ponens,[status(thm)],[3597, 3596])).
% 48.27/31.35 tff(3599,plain,
% 48.27/31.35 (~v119(constB10)),
% 48.27/31.35 inference(unit_resolution,[status(thm)],[3598, 861, 3583])).
% 48.27/31.35 tff(3600,plain,
% 48.27/31.35 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB10, bitIndex1)) | v124(constB10) | v123(constB10) | v122(constB10) | v121(constB10) | v120(constB10) | v119(constB10))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB10, bitIndex1)) | v124(constB10) | v123(constB10) | v122(constB10) | v121(constB10) | v120(constB10) | v119(constB10))),
% 48.27/31.35 inference(rewrite,[status(thm)],[])).
% 48.27/31.35 tff(3601,plain,
% 48.27/31.35 ((v120(constB10) | v119(constB10) | v121(constB10) | v122(constB10) | v123(constB10) | v124(constB10) | (~v130(constB10, bitIndex1))) <=> ((~v130(constB10, bitIndex1)) | v124(constB10) | v123(constB10) | v122(constB10) | v121(constB10) | v120(constB10) | v119(constB10))),
% 48.27/31.35 inference(rewrite,[status(thm)],[])).
% 48.27/31.35 tff(3602,plain,
% 48.27/31.35 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB10) | v119(constB10) | v121(constB10) | v122(constB10) | v123(constB10) | v124(constB10) | (~v130(constB10, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB10, bitIndex1)) | v124(constB10) | v123(constB10) | v122(constB10) | v121(constB10) | v120(constB10) | v119(constB10)))),
% 48.27/31.35 inference(monotonicity,[status(thm)],[3601])).
% 48.27/31.35 tff(3603,plain,
% 48.27/31.35 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB10) | v119(constB10) | v121(constB10) | v122(constB10) | v123(constB10) | v124(constB10) | (~v130(constB10, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB10, bitIndex1)) | v124(constB10) | v123(constB10) | v122(constB10) | v121(constB10) | v120(constB10) | v119(constB10))),
% 48.27/31.35 inference(transitivity,[status(thm)],[3602, 3600])).
% 48.27/31.35 tff(3604,plain,
% 48.27/31.35 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB10) | v119(constB10) | v121(constB10) | v122(constB10) | v123(constB10) | v124(constB10) | (~v130(constB10, bitIndex1)))),
% 48.27/31.35 inference(quant_inst,[status(thm)],[])).
% 48.27/31.35 tff(3605,plain,
% 48.27/31.35 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB10, bitIndex1)) | v124(constB10) | v123(constB10) | v122(constB10) | v121(constB10) | v120(constB10) | v119(constB10)),
% 48.27/31.35 inference(modus_ponens,[status(thm)],[3604, 3603])).
% 48.27/31.35 tff(3606,plain,
% 48.27/31.35 ((~v130(constB10, bitIndex1)) | v124(constB10) | v123(constB10)),
% 48.27/31.35 inference(unit_resolution,[status(thm)],[3605, 1143, 3599, 3595, 3591, 3587])).
% 48.27/31.35 tff(3607,plain,
% 48.27/31.35 (~v130(constB10, bitIndex1)),
% 48.27/31.35 inference(unit_resolution,[status(thm)],[3606, 3582, 3561])).
% 48.27/31.35 tff(3608,assumption,(v26(constB10)), introduced(assumption)).
% 48.27/31.35 tff(3609,plain,
% 48.27/31.35 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB10))),
% 48.27/31.35 inference(quant_inst,[status(thm)],[])).
% 48.27/31.35 tff(3610,plain,
% 48.27/31.35 ($false),
% 48.27/31.35 inference(unit_resolution,[status(thm)],[3609, 16, 3608])).
% 48.27/31.35 tff(3611,plain,(~v26(constB10)), inference(lemma,lemma(discharge,[]))).
% 48.27/31.35 tff(3612,plain,
% 48.27/31.35 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB10, bitIndex1)) | v26(constB10) | v130(constB10, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB10, bitIndex1)) | v26(constB10) | v130(constB10, bitIndex1))),
% 48.27/31.35 inference(rewrite,[status(thm)],[])).
% 48.27/31.35 tff(3613,plain,
% 48.27/31.35 ((v26(constB10) | v130(constB10, bitIndex1) | (~v127(constB10, bitIndex1))) <=> ((~v127(constB10, bitIndex1)) | v26(constB10) | v130(constB10, bitIndex1))),
% 48.27/31.35 inference(rewrite,[status(thm)],[])).
% 48.27/31.35 tff(3614,plain,
% 48.27/31.35 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB10) | v130(constB10, bitIndex1) | (~v127(constB10, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB10, bitIndex1)) | v26(constB10) | v130(constB10, bitIndex1)))),
% 48.27/31.35 inference(monotonicity,[status(thm)],[3613])).
% 48.27/31.35 tff(3615,plain,
% 48.27/31.35 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB10) | v130(constB10, bitIndex1) | (~v127(constB10, bitIndex1)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB10, bitIndex1)) | v26(constB10) | v130(constB10, bitIndex1))),
% 48.27/31.35 inference(transitivity,[status(thm)],[3614, 3612])).
% 48.27/31.35 tff(3616,plain,
% 48.27/31.35 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB10) | v130(constB10, bitIndex1) | (~v127(constB10, bitIndex1)))),
% 48.27/31.35 inference(quant_inst,[status(thm)],[])).
% 48.27/31.35 tff(3617,plain,
% 48.27/31.35 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB10, bitIndex1)) | v26(constB10) | v130(constB10, bitIndex1)),
% 48.27/31.35 inference(modus_ponens,[status(thm)],[3616, 3615])).
% 48.27/31.35 tff(3618,plain,
% 48.27/31.35 ((~v127(constB10, bitIndex1)) | v130(constB10, bitIndex1)),
% 48.27/31.35 inference(unit_resolution,[status(thm)],[3617, 450, 3611])).
% 48.27/31.35 tff(3619,plain,
% 48.27/31.35 (~v127(constB10, bitIndex1)),
% 48.27/31.35 inference(unit_resolution,[status(thm)],[3618, 3607])).
% 48.27/31.35 tff(3620,plain,
% 48.27/31.35 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))) | (v120(constB10) | v119(constB10) | (~v118(constB10)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))) | v120(constB10) | v119(constB10) | (~v118(constB10)))),
% 48.27/31.35 inference(rewrite,[status(thm)],[])).
% 48.27/31.35 tff(3621,plain,
% 48.27/31.35 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))) | (v120(constB10) | v119(constB10) | (~v118(constB10)))),
% 48.27/31.35 inference(quant_inst,[status(thm)],[])).
% 48.27/31.35 tff(3622,plain,
% 48.27/31.35 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))) | v120(constB10) | v119(constB10) | (~v118(constB10))),
% 48.27/31.35 inference(modus_ponens,[status(thm)],[3621, 3620])).
% 48.27/31.35 tff(3623,plain,
% 48.27/31.35 (~v118(constB10)),
% 48.27/31.35 inference(unit_resolution,[status(thm)],[3622, 3085, 3599, 3595])).
% 48.27/31.35 tff(3624,plain,
% 48.27/31.35 (((~![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | (v118(constB10) | v121(constB10) | (~v117(constB10)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | v118(constB10) | v121(constB10) | (~v117(constB10)))),
% 48.27/31.35 inference(rewrite,[status(thm)],[])).
% 48.27/31.35 tff(3625,plain,
% 48.27/31.35 ((~![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | (v118(constB10) | v121(constB10) | (~v117(constB10)))),
% 48.27/31.35 inference(quant_inst,[status(thm)],[])).
% 48.27/31.35 tff(3626,plain,
% 48.27/31.35 ((~![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | v118(constB10) | v121(constB10) | (~v117(constB10))),
% 48.27/31.35 inference(modus_ponens,[status(thm)],[3625, 3624])).
% 48.27/31.35 tff(3627,plain,
% 48.27/31.35 (v118(constB10) | (~v117(constB10))),
% 48.27/31.35 inference(unit_resolution,[status(thm)],[3626, 3103, 3591])).
% 48.27/31.35 tff(3628,plain,
% 48.27/31.35 (~v117(constB10)),
% 48.27/31.35 inference(unit_resolution,[status(thm)],[3627, 3623])).
% 48.27/31.35 tff(3629,plain,
% 48.27/31.35 (((~![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | (v117(constB10) | v122(constB10) | (~v116(constB10)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | v117(constB10) | v122(constB10) | (~v116(constB10)))),
% 48.27/31.35 inference(rewrite,[status(thm)],[])).
% 48.27/31.35 tff(3630,plain,
% 48.27/31.35 ((~![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | (v117(constB10) | v122(constB10) | (~v116(constB10)))),
% 48.27/31.35 inference(quant_inst,[status(thm)],[])).
% 48.27/31.35 tff(3631,plain,
% 48.27/31.35 ((~![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | v117(constB10) | v122(constB10) | (~v116(constB10))),
% 48.27/31.35 inference(modus_ponens,[status(thm)],[3630, 3629])).
% 48.27/31.35 tff(3632,plain,
% 48.27/31.35 (v117(constB10) | (~v116(constB10))),
% 48.27/31.35 inference(unit_resolution,[status(thm)],[3631, 3121, 3587])).
% 48.27/31.35 tff(3633,plain,
% 48.27/31.35 (~v116(constB10)),
% 48.27/31.35 inference(unit_resolution,[status(thm)],[3632, 3628])).
% 48.27/31.35 tff(3634,plain,
% 48.27/31.35 (((~![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | (v116(constB10) | v123(constB10) | (~v115(constB10)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | v116(constB10) | v123(constB10) | (~v115(constB10)))),
% 48.27/31.35 inference(rewrite,[status(thm)],[])).
% 48.27/31.35 tff(3635,plain,
% 48.27/31.35 ((~![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | (v116(constB10) | v123(constB10) | (~v115(constB10)))),
% 48.27/31.35 inference(quant_inst,[status(thm)],[])).
% 48.27/31.35 tff(3636,plain,
% 48.27/31.35 ((~![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | v116(constB10) | v123(constB10) | (~v115(constB10))),
% 48.27/31.35 inference(modus_ponens,[status(thm)],[3635, 3634])).
% 48.27/31.35 tff(3637,plain,
% 48.27/31.35 (v123(constB10) | (~v115(constB10))),
% 48.27/31.35 inference(unit_resolution,[status(thm)],[3636, 3140, 3633])).
% 48.27/31.35 tff(3638,plain,
% 48.27/31.35 (~v115(constB10)),
% 48.27/31.35 inference(unit_resolution,[status(thm)],[3637, 3561])).
% 48.27/31.35 tff(3639,plain,
% 48.27/31.35 (((~![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | (v115(constB10) | v124(constB10) | (~v114(constB10)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | v115(constB10) | v124(constB10) | (~v114(constB10)))),
% 48.27/31.35 inference(rewrite,[status(thm)],[])).
% 48.27/31.35 tff(3640,plain,
% 48.27/31.35 ((~![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | (v115(constB10) | v124(constB10) | (~v114(constB10)))),
% 48.27/31.35 inference(quant_inst,[status(thm)],[])).
% 48.27/31.35 tff(3641,plain,
% 48.27/31.35 ((~![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | v115(constB10) | v124(constB10) | (~v114(constB10))),
% 48.27/31.35 inference(modus_ponens,[status(thm)],[3640, 3639])).
% 48.27/31.35 tff(3642,plain,
% 48.27/31.35 (~v114(constB10)),
% 48.27/31.35 inference(unit_resolution,[status(thm)],[3641, 3169, 3582, 3638])).
% 48.27/31.35 tff(3643,plain,
% 48.27/31.35 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr)))) | ((~v90(constB10, bitIndex0)) | (~v125(constB10)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr)))) | (~v90(constB10, bitIndex0)) | (~v125(constB10)))),
% 48.27/31.35 inference(rewrite,[status(thm)],[])).
% 48.27/31.35 tff(3644,plain,
% 48.27/31.35 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr)))) | ((~v90(constB10, bitIndex0)) | (~v125(constB10)))),
% 48.27/31.35 inference(quant_inst,[status(thm)],[])).
% 48.27/31.35 tff(3645,plain,
% 48.27/31.35 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr)))) | (~v90(constB10, bitIndex0)) | (~v125(constB10))),
% 48.27/31.35 inference(modus_ponens,[status(thm)],[3644, 3643])).
% 48.27/31.35 tff(3646,plain,
% 48.27/31.35 (~v125(constB10)),
% 48.27/31.35 inference(unit_resolution,[status(thm)],[3645, 3436, 3557])).
% 48.27/31.35 tff(3647,plain,
% 48.27/31.35 (((~![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | (v114(constB10) | v125(constB10) | (~v113(constB10)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | v114(constB10) | v125(constB10) | (~v113(constB10)))),
% 48.27/31.35 inference(rewrite,[status(thm)],[])).
% 48.27/31.35 tff(3648,plain,
% 48.27/31.35 ((~![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | (v114(constB10) | v125(constB10) | (~v113(constB10)))),
% 48.27/31.35 inference(quant_inst,[status(thm)],[])).
% 48.27/31.35 tff(3649,plain,
% 48.27/31.35 ((~![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | v114(constB10) | v125(constB10) | (~v113(constB10))),
% 48.27/31.35 inference(modus_ponens,[status(thm)],[3648, 3647])).
% 48.27/31.35 tff(3650,plain,
% 48.27/31.35 (v114(constB10) | (~v113(constB10))),
% 48.27/31.35 inference(unit_resolution,[status(thm)],[3649, 3246, 3646])).
% 48.27/31.35 tff(3651,plain,
% 48.27/31.35 (~v113(constB10)),
% 48.27/31.35 inference(unit_resolution,[status(thm)],[3650, 3642])).
% 48.27/31.35 tff(3652,plain,
% 48.27/31.35 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))) | (v113(constB10) | (~v112(constB10)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))) | v113(constB10) | (~v112(constB10)))),
% 48.27/31.35 inference(rewrite,[status(thm)],[])).
% 48.27/31.35 tff(3653,plain,
% 48.27/31.35 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))) | (v113(constB10) | (~v112(constB10)))),
% 48.27/31.35 inference(quant_inst,[status(thm)],[])).
% 48.27/31.35 tff(3654,plain,
% 48.27/31.35 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))) | v113(constB10) | (~v112(constB10))),
% 48.27/31.35 inference(modus_ponens,[status(thm)],[3653, 3652])).
% 48.27/31.35 tff(3655,plain,
% 48.27/31.35 (~v112(constB10)),
% 48.27/31.35 inference(unit_resolution,[status(thm)],[3654, 3232, 3651])).
% 48.27/31.35 tff(3656,plain,
% 48.27/31.35 (((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | ((~v108(constB10)) | v26(constB10) | v112(constB10))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB10)) | v26(constB10) | v112(constB10))),
% 48.27/31.35 inference(rewrite,[status(thm)],[])).
% 48.27/31.35 tff(3657,plain,
% 48.27/31.35 ((v26(constB10) | v112(constB10) | (~v108(constB10))) <=> ((~v108(constB10)) | v26(constB10) | v112(constB10))),
% 48.27/31.35 inference(rewrite,[status(thm)],[])).
% 48.27/31.35 tff(3658,plain,
% 48.27/31.35 (((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB10) | v112(constB10) | (~v108(constB10)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | ((~v108(constB10)) | v26(constB10) | v112(constB10)))),
% 48.27/31.35 inference(monotonicity,[status(thm)],[3657])).
% 48.27/31.35 tff(3659,plain,
% 48.27/31.35 (((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB10) | v112(constB10) | (~v108(constB10)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB10)) | v26(constB10) | v112(constB10))),
% 48.27/31.35 inference(transitivity,[status(thm)],[3658, 3656])).
% 48.27/31.35 tff(3660,plain,
% 48.27/31.35 ((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB10) | v112(constB10) | (~v108(constB10)))),
% 48.27/31.35 inference(quant_inst,[status(thm)],[])).
% 48.27/31.35 tff(3661,plain,
% 48.27/31.35 ((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB10)) | v26(constB10) | v112(constB10)),
% 48.27/31.35 inference(modus_ponens,[status(thm)],[3660, 3659])).
% 48.27/31.35 tff(3662,plain,
% 48.27/31.35 ((~v108(constB10)) | v112(constB10)),
% 48.27/31.35 inference(unit_resolution,[status(thm)],[3661, 3217, 3611])).
% 48.27/31.35 tff(3663,plain,
% 48.27/31.35 (~v108(constB10)),
% 48.27/31.35 inference(unit_resolution,[status(thm)],[3662, 3655])).
% 48.27/31.35 tff(3664,assumption,(~v108(constB10)), introduced(assumption)).
% 48.27/31.35 tff(3665,plain,
% 48.27/31.35 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB10) | (~v26(constB10)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB10) | (~v26(constB10)))),
% 48.27/31.35 inference(rewrite,[status(thm)],[])).
% 48.27/31.35 tff(3666,plain,
% 48.27/31.35 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB10) | (~v26(constB10)))),
% 48.27/31.35 inference(quant_inst,[status(thm)],[])).
% 48.27/31.35 tff(3667,plain,
% 48.27/31.35 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB10) | (~v26(constB10))),
% 48.27/31.35 inference(modus_ponens,[status(thm)],[3666, 3665])).
% 48.27/31.35 tff(3668,plain,
% 48.27/31.35 (~v26(constB10)),
% 48.27/31.35 inference(unit_resolution,[status(thm)],[3667, 961, 3664])).
% 48.27/31.35 tff(3669,assumption,(~v127(constB10, bitIndex1)), introduced(assumption)).
% 48.27/31.35 tff(3670,plain,
% 48.27/31.35 (((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB10) | (~v130(constB10, bitIndex1)) | v127(constB10, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB10) | (~v130(constB10, bitIndex1)) | v127(constB10, bitIndex1))),
% 48.27/31.35 inference(rewrite,[status(thm)],[])).
% 48.27/31.35 tff(3671,plain,
% 48.27/31.35 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB10) | (~v130(constB10, bitIndex1)) | v127(constB10, bitIndex1))),
% 48.27/31.35 inference(quant_inst,[status(thm)],[])).
% 48.27/31.35 tff(3672,plain,
% 48.27/31.35 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB10) | (~v130(constB10, bitIndex1)) | v127(constB10, bitIndex1)),
% 48.27/31.35 inference(modus_ponens,[status(thm)],[3671, 3670])).
% 48.27/31.35 tff(3673,plain,
% 48.27/31.35 (v26(constB10) | (~v130(constB10, bitIndex1))),
% 48.27/31.35 inference(unit_resolution,[status(thm)],[3672, 681, 3669])).
% 48.27/31.35 tff(3674,plain,
% 48.27/31.35 (~v130(constB10, bitIndex1)),
% 48.27/31.35 inference(unit_resolution,[status(thm)],[3673, 3668])).
% 48.27/31.35 tff(3675,plain,
% 48.27/31.35 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB10)) | v130(constB10, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB10)) | v130(constB10, bitIndex1))),
% 48.27/31.35 inference(rewrite,[status(thm)],[])).
% 48.27/31.35 tff(3676,plain,
% 48.27/31.35 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB10)) | v130(constB10, bitIndex1))),
% 48.27/31.35 inference(quant_inst,[status(thm)],[])).
% 48.27/31.35 tff(3677,plain,
% 48.27/31.35 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB10)) | v130(constB10, bitIndex1)),
% 48.27/31.35 inference(modus_ponens,[status(thm)],[3676, 3675])).
% 48.27/31.35 tff(3678,plain,
% 48.27/31.35 (~v121(constB10)),
% 48.27/31.35 inference(unit_resolution,[status(thm)],[3677, 1707, 3674])).
% 48.27/31.35 tff(3679,plain,
% 48.27/31.35 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB10) | (~v112(constB10)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB10) | (~v112(constB10)))),
% 48.27/31.35 inference(rewrite,[status(thm)],[])).
% 48.27/31.35 tff(3680,plain,
% 48.27/31.35 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB10) | (~v112(constB10)))),
% 48.27/31.35 inference(quant_inst,[status(thm)],[])).
% 48.27/31.35 tff(3681,plain,
% 48.27/31.35 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB10) | (~v112(constB10))),
% 48.27/31.35 inference(modus_ponens,[status(thm)],[3680, 3679])).
% 48.27/31.35 tff(3682,plain,
% 48.27/31.35 (~v112(constB10)),
% 48.27/31.35 inference(unit_resolution,[status(thm)],[3681, 236, 3664])).
% 48.27/31.35 tff(3683,plain,
% 48.27/31.35 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB10) | (~v113(constB10)) | v112(constB10))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB10) | (~v113(constB10)) | v112(constB10))),
% 48.27/31.35 inference(rewrite,[status(thm)],[])).
% 48.27/31.35 tff(3684,plain,
% 48.27/31.35 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB10) | (~v113(constB10)) | v112(constB10))),
% 48.27/31.35 inference(quant_inst,[status(thm)],[])).
% 48.27/31.35 tff(3685,plain,
% 48.27/31.35 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB10) | (~v113(constB10)) | v112(constB10)),
% 48.27/31.35 inference(modus_ponens,[status(thm)],[3684, 3683])).
% 48.27/31.35 tff(3686,plain,
% 48.27/31.35 (~v113(constB10)),
% 48.27/31.35 inference(unit_resolution,[status(thm)],[3685, 224, 3668, 3682])).
% 48.27/31.35 tff(3687,plain,
% 48.27/31.35 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB10) | (~v125(constB10)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB10) | (~v125(constB10)))),
% 48.27/31.35 inference(rewrite,[status(thm)],[])).
% 48.27/31.35 tff(3688,plain,
% 48.27/31.35 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB10) | (~v125(constB10)))),
% 48.27/31.35 inference(quant_inst,[status(thm)],[])).
% 48.27/31.35 tff(3689,plain,
% 48.27/31.35 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB10) | (~v125(constB10))),
% 48.27/31.35 inference(modus_ponens,[status(thm)],[3688, 3687])).
% 48.27/31.35 tff(3690,plain,
% 48.27/31.35 (~v125(constB10)),
% 48.27/31.35 inference(unit_resolution,[status(thm)],[3689, 1031, 3686])).
% 48.27/31.35 tff(3691,plain,
% 48.27/31.35 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB10)) | v130(constB10, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB10)) | v130(constB10, bitIndex1))),
% 48.27/31.35 inference(rewrite,[status(thm)],[])).
% 48.27/31.35 tff(3692,plain,
% 48.27/31.35 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB10)) | v130(constB10, bitIndex1))),
% 48.27/31.35 inference(quant_inst,[status(thm)],[])).
% 48.27/31.35 tff(3693,plain,
% 48.27/31.35 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB10)) | v130(constB10, bitIndex1)),
% 48.27/31.35 inference(modus_ponens,[status(thm)],[3692, 3691])).
% 48.27/31.35 tff(3694,plain,
% 48.27/31.35 (~v123(constB10)),
% 48.27/31.35 inference(unit_resolution,[status(thm)],[3693, 667, 3674])).
% 48.27/31.35 tff(3695,plain,
% 48.27/31.35 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB10) | (~v114(constB10)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB10) | (~v114(constB10)))),
% 48.27/31.35 inference(rewrite,[status(thm)],[])).
% 48.27/31.35 tff(3696,plain,
% 48.27/31.35 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB10) | (~v114(constB10)))),
% 48.27/31.35 inference(quant_inst,[status(thm)],[])).
% 48.27/31.35 tff(3697,plain,
% 48.27/31.35 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB10) | (~v114(constB10))),
% 48.27/31.35 inference(modus_ponens,[status(thm)],[3696, 3695])).
% 48.27/31.35 tff(3698,plain,
% 48.27/31.35 (~v114(constB10)),
% 48.27/31.35 inference(unit_resolution,[status(thm)],[3697, 210, 3686])).
% 48.27/31.35 tff(3699,plain,
% 48.27/31.35 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB10) | (~v115(constB10)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB10) | (~v115(constB10)))),
% 48.27/31.35 inference(rewrite,[status(thm)],[])).
% 48.27/31.35 tff(3700,plain,
% 48.27/31.35 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB10) | (~v115(constB10)))),
% 48.27/31.35 inference(quant_inst,[status(thm)],[])).
% 48.27/31.35 tff(3701,plain,
% 48.27/31.35 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB10) | (~v115(constB10))),
% 48.27/31.35 inference(modus_ponens,[status(thm)],[3700, 3699])).
% 48.27/31.35 tff(3702,plain,
% 48.27/31.35 (~v115(constB10)),
% 48.27/31.35 inference(unit_resolution,[status(thm)],[3701, 199, 3698])).
% 48.27/31.35 tff(3703,plain,
% 48.27/31.35 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB10) | (~v116(constB10)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB10) | (~v116(constB10)))),
% 48.27/31.35 inference(rewrite,[status(thm)],[])).
% 48.27/31.35 tff(3704,plain,
% 48.27/31.35 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB10) | (~v116(constB10)))),
% 48.27/31.35 inference(quant_inst,[status(thm)],[])).
% 48.27/31.35 tff(3705,plain,
% 48.27/31.35 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB10) | (~v116(constB10))),
% 48.27/31.35 inference(modus_ponens,[status(thm)],[3704, 3703])).
% 48.27/31.35 tff(3706,plain,
% 48.27/31.35 (~v116(constB10)),
% 48.27/31.35 inference(unit_resolution,[status(thm)],[3705, 188, 3702])).
% 48.27/31.35 tff(3707,plain,
% 48.27/31.35 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB10) | (~v117(constB10)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB10) | (~v117(constB10)))),
% 48.27/31.35 inference(rewrite,[status(thm)],[])).
% 48.27/31.35 tff(3708,plain,
% 48.27/31.35 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB10) | (~v117(constB10)))),
% 48.27/31.35 inference(quant_inst,[status(thm)],[])).
% 48.27/31.35 tff(3709,plain,
% 48.27/31.35 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB10) | (~v117(constB10))),
% 48.27/31.35 inference(modus_ponens,[status(thm)],[3708, 3707])).
% 48.27/31.35 tff(3710,plain,
% 48.27/31.35 (~v117(constB10)),
% 48.27/31.35 inference(unit_resolution,[status(thm)],[3709, 177, 3706])).
% 48.27/31.35 tff(3711,plain,
% 48.27/31.35 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB10) | (~v118(constB10)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB10) | (~v118(constB10)))),
% 48.27/31.35 inference(rewrite,[status(thm)],[])).
% 48.27/31.35 tff(3712,plain,
% 48.27/31.35 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB10) | (~v118(constB10)))),
% 48.27/31.35 inference(quant_inst,[status(thm)],[])).
% 48.27/31.35 tff(3713,plain,
% 48.27/31.35 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB10) | (~v118(constB10))),
% 48.27/31.35 inference(modus_ponens,[status(thm)],[3712, 3711])).
% 48.27/31.35 tff(3714,plain,
% 48.27/31.35 (~v118(constB10)),
% 48.27/31.36 inference(unit_resolution,[status(thm)],[3713, 166, 3710])).
% 48.27/31.36 tff(3715,plain,
% 48.27/31.36 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB10) | (~v119(constB10)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB10) | (~v119(constB10)))),
% 48.27/31.36 inference(rewrite,[status(thm)],[])).
% 48.27/31.36 tff(3716,plain,
% 48.27/31.36 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB10) | (~v119(constB10)))),
% 48.27/31.36 inference(quant_inst,[status(thm)],[])).
% 48.27/31.36 tff(3717,plain,
% 48.27/31.36 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB10) | (~v119(constB10))),
% 48.27/31.36 inference(modus_ponens,[status(thm)],[3716, 3715])).
% 48.27/31.36 tff(3718,plain,
% 48.27/31.36 (~v119(constB10)),
% 48.27/31.36 inference(unit_resolution,[status(thm)],[3717, 155, 3714])).
% 48.27/31.36 tff(3719,plain,
% 48.27/31.36 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB10)) | v130(constB10, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB10)) | v130(constB10, bitIndex1))),
% 48.27/31.36 inference(rewrite,[status(thm)],[])).
% 48.27/31.36 tff(3720,plain,
% 48.27/31.36 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB10)) | v130(constB10, bitIndex1))),
% 48.27/31.36 inference(quant_inst,[status(thm)],[])).
% 48.27/31.36 tff(3721,plain,
% 48.27/31.36 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB10)) | v130(constB10, bitIndex1)),
% 48.27/31.36 inference(modus_ponens,[status(thm)],[3720, 3719])).
% 48.27/31.36 tff(3722,plain,
% 48.27/31.36 (~v124(constB10)),
% 48.27/31.36 inference(unit_resolution,[status(thm)],[3721, 3155, 3674])).
% 48.27/31.36 tff(3723,plain,
% 48.27/31.36 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB10)) | v130(constB10, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB10)) | v130(constB10, bitIndex1))),
% 48.27/31.36 inference(rewrite,[status(thm)],[])).
% 48.27/31.36 tff(3724,plain,
% 48.27/31.36 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB10)) | v130(constB10, bitIndex1))),
% 48.27/31.36 inference(quant_inst,[status(thm)],[])).
% 48.27/31.36 tff(3725,plain,
% 48.27/31.36 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB10)) | v130(constB10, bitIndex1)),
% 48.27/31.36 inference(modus_ponens,[status(thm)],[3724, 3723])).
% 48.27/31.36 tff(3726,plain,
% 48.27/31.36 (~v120(constB10)),
% 48.27/31.36 inference(unit_resolution,[status(thm)],[3725, 1450, 3674])).
% 48.27/31.36 tff(3727,assumption,(~v123(constB10)), introduced(assumption)).
% 48.27/31.36 tff(3728,assumption,(~v119(constB10)), introduced(assumption)).
% 48.27/31.36 tff(3729,plain,
% 48.27/31.36 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB10, bitIndex0) | v90(constB10, bitIndex1) | (~v90(constB10, bitIndex2)) | v123(constB10))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB10, bitIndex0) | v90(constB10, bitIndex1) | (~v90(constB10, bitIndex2)) | v123(constB10))),
% 48.27/31.36 inference(rewrite,[status(thm)],[])).
% 48.27/31.36 tff(3730,plain,
% 48.27/31.36 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB10, bitIndex0) | v90(constB10, bitIndex1) | (~v90(constB10, bitIndex2)) | v123(constB10))),
% 48.27/31.36 inference(quant_inst,[status(thm)],[])).
% 48.27/31.36 tff(3731,plain,
% 48.27/31.36 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB10, bitIndex0) | v90(constB10, bitIndex1) | (~v90(constB10, bitIndex2)) | v123(constB10)),
% 48.27/31.36 inference(modus_ponens,[status(thm)],[3730, 3729])).
% 48.27/31.36 tff(3732,plain,
% 48.27/31.36 (v90(constB10, bitIndex0) | v90(constB10, bitIndex1) | (~v90(constB10, bitIndex2))),
% 48.27/31.36 inference(unit_resolution,[status(thm)],[3731, 584, 3727])).
% 48.27/31.36 tff(3733,plain,
% 48.27/31.36 (~v90(constB10, bitIndex2)),
% 48.27/31.36 inference(unit_resolution,[status(thm)],[3732, 2910, 2859])).
% 48.27/31.36 tff(3734,plain,
% 48.27/31.36 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB10) | v90(constB10, bitIndex0) | v90(constB10, bitIndex1) | v90(constB10, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB10) | v90(constB10, bitIndex0) | v90(constB10, bitIndex1) | v90(constB10, bitIndex2))),
% 48.27/31.36 inference(rewrite,[status(thm)],[])).
% 48.27/31.36 tff(3735,plain,
% 48.27/31.36 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB10) | v90(constB10, bitIndex0) | v90(constB10, bitIndex1) | v90(constB10, bitIndex2))),
% 48.27/31.36 inference(quant_inst,[status(thm)],[])).
% 48.27/31.36 tff(3736,plain,
% 48.27/31.36 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB10) | v90(constB10, bitIndex0) | v90(constB10, bitIndex1) | v90(constB10, bitIndex2)),
% 48.27/31.36 inference(modus_ponens,[status(thm)],[3735, 3734])).
% 48.27/31.36 tff(3737,plain,
% 48.27/31.36 (v90(constB10, bitIndex0) | v90(constB10, bitIndex1) | v90(constB10, bitIndex2)),
% 48.27/31.36 inference(unit_resolution,[status(thm)],[3736, 144, 3728])).
% 48.27/31.36 tff(3738,plain,
% 48.27/31.36 ($false),
% 48.27/31.36 inference(unit_resolution,[status(thm)],[3737, 3733, 2910, 2859])).
% 48.27/31.36 tff(3739,plain,(v90(constB10, bitIndex0) | v90(constB10, bitIndex1) | v119(constB10) | v123(constB10)), inference(lemma,lemma(discharge,[]))).
% 48.27/31.36 tff(3740,plain,
% 48.27/31.36 (v90(constB10, bitIndex0)),
% 48.27/31.36 inference(unit_resolution,[status(thm)],[3739, 2859, 3728, 3727])).
% 48.27/31.36 tff(3741,assumption,(~v124(constB10)), introduced(assumption)).
% 48.27/31.36 tff(3742,plain,
% 48.27/31.36 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB10, bitIndex0)) | v90(constB10, bitIndex1) | (~v90(constB10, bitIndex2)) | v124(constB10))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB10, bitIndex0)) | v90(constB10, bitIndex1) | (~v90(constB10, bitIndex2)) | v124(constB10))),
% 48.27/31.36 inference(rewrite,[status(thm)],[])).
% 48.27/31.36 tff(3743,plain,
% 48.27/31.36 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB10, bitIndex0)) | v90(constB10, bitIndex1) | (~v90(constB10, bitIndex2)) | v124(constB10))),
% 48.27/31.36 inference(quant_inst,[status(thm)],[])).
% 48.27/31.36 tff(3744,plain,
% 48.27/31.36 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB10, bitIndex0)) | v90(constB10, bitIndex1) | (~v90(constB10, bitIndex2)) | v124(constB10)),
% 48.27/31.36 inference(modus_ponens,[status(thm)],[3743, 3742])).
% 48.27/31.36 tff(3745,plain,
% 48.27/31.36 ((~v90(constB10, bitIndex0)) | v90(constB10, bitIndex1) | (~v90(constB10, bitIndex2))),
% 48.27/31.36 inference(unit_resolution,[status(thm)],[3744, 2663, 3741])).
% 48.27/31.36 tff(3746,plain,
% 48.27/31.36 (~v90(constB10, bitIndex2)),
% 48.27/31.36 inference(unit_resolution,[status(thm)],[3745, 3740, 2859])).
% 48.27/31.36 tff(3747,assumption,(~v120(constB10)), introduced(assumption)).
% 48.27/31.36 tff(3748,plain,
% 48.27/31.36 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB10, bitIndex0)) | v90(constB10, bitIndex1) | v90(constB10, bitIndex2) | v120(constB10))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB10, bitIndex0)) | v90(constB10, bitIndex1) | v90(constB10, bitIndex2) | v120(constB10))),
% 48.27/31.36 inference(rewrite,[status(thm)],[])).
% 48.27/31.36 tff(3749,plain,
% 48.27/31.36 (((~v90(constB10, bitIndex0)) | v120(constB10) | v90(constB10, bitIndex1) | v90(constB10, bitIndex2)) <=> ((~v90(constB10, bitIndex0)) | v90(constB10, bitIndex1) | v90(constB10, bitIndex2) | v120(constB10))),
% 48.27/31.36 inference(rewrite,[status(thm)],[])).
% 48.27/31.36 tff(3750,plain,
% 48.27/31.36 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB10, bitIndex0)) | v120(constB10) | v90(constB10, bitIndex1) | v90(constB10, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB10, bitIndex0)) | v90(constB10, bitIndex1) | v90(constB10, bitIndex2) | v120(constB10)))),
% 48.27/31.36 inference(monotonicity,[status(thm)],[3749])).
% 48.27/31.36 tff(3751,plain,
% 48.27/31.36 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB10, bitIndex0)) | v120(constB10) | v90(constB10, bitIndex1) | v90(constB10, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB10, bitIndex0)) | v90(constB10, bitIndex1) | v90(constB10, bitIndex2) | v120(constB10))),
% 48.27/31.36 inference(transitivity,[status(thm)],[3750, 3748])).
% 48.27/31.36 tff(3752,plain,
% 48.27/31.36 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB10, bitIndex0)) | v120(constB10) | v90(constB10, bitIndex1) | v90(constB10, bitIndex2))),
% 48.27/31.36 inference(quant_inst,[status(thm)],[])).
% 48.27/31.36 tff(3753,plain,
% 48.27/31.36 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB10, bitIndex0)) | v90(constB10, bitIndex1) | v90(constB10, bitIndex2) | v120(constB10)),
% 48.27/31.36 inference(modus_ponens,[status(thm)],[3752, 3751])).
% 48.27/31.36 tff(3754,plain,
% 48.27/31.36 ((~v90(constB10, bitIndex0)) | v90(constB10, bitIndex1) | v90(constB10, bitIndex2)),
% 48.27/31.36 inference(unit_resolution,[status(thm)],[3753, 1285, 3747])).
% 48.27/31.36 tff(3755,plain,
% 48.27/31.36 ($false),
% 48.27/31.36 inference(unit_resolution,[status(thm)],[3754, 3746, 3740, 2859])).
% 48.27/31.36 tff(3756,plain,(v90(constB10, bitIndex1) | v120(constB10) | v124(constB10) | v119(constB10) | v123(constB10)), inference(lemma,lemma(discharge,[]))).
% 48.27/31.36 tff(3757,plain,
% 48.27/31.36 (v90(constB10, bitIndex1)),
% 48.27/31.36 inference(unit_resolution,[status(thm)],[3756, 3726, 3722, 3718, 3694])).
% 48.27/31.36 tff(3758,assumption,(v90(constB10, bitIndex1)), introduced(assumption)).
% 48.27/31.36 tff(3759,assumption,(~v121(constB10)), introduced(assumption)).
% 48.27/31.36 tff(3760,plain,
% 48.27/31.36 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB10, bitIndex0) | (~v90(constB10, bitIndex1)) | v90(constB10, bitIndex2) | v121(constB10))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB10, bitIndex0) | (~v90(constB10, bitIndex1)) | v90(constB10, bitIndex2) | v121(constB10))),
% 48.27/31.36 inference(rewrite,[status(thm)],[])).
% 48.27/31.36 tff(3761,plain,
% 48.27/31.36 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB10, bitIndex0) | (~v90(constB10, bitIndex1)) | v90(constB10, bitIndex2) | v121(constB10))),
% 48.27/31.36 inference(quant_inst,[status(thm)],[])).
% 48.27/31.36 tff(3762,plain,
% 48.27/31.36 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB10, bitIndex0) | (~v90(constB10, bitIndex1)) | v90(constB10, bitIndex2) | v121(constB10)),
% 48.27/31.36 inference(modus_ponens,[status(thm)],[3761, 3760])).
% 48.27/31.36 tff(3763,plain,
% 48.27/31.36 (v90(constB10, bitIndex0) | (~v90(constB10, bitIndex1)) | v90(constB10, bitIndex2)),
% 48.27/31.36 inference(unit_resolution,[status(thm)],[3762, 1551, 3759])).
% 48.27/31.36 tff(3764,plain,
% 48.27/31.36 (v90(constB10, bitIndex2)),
% 48.27/31.36 inference(unit_resolution,[status(thm)],[3763, 2910, 3758])).
% 48.27/31.36 tff(3765,assumption,(~v125(constB10)), introduced(assumption)).
% 48.27/31.36 tff(3766,plain,
% 48.27/31.36 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB10, bitIndex0) | (~v90(constB10, bitIndex1)) | (~v90(constB10, bitIndex2)) | v125(constB10))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB10, bitIndex0) | (~v90(constB10, bitIndex1)) | (~v90(constB10, bitIndex2)) | v125(constB10))),
% 48.27/31.36 inference(rewrite,[status(thm)],[])).
% 48.27/31.36 tff(3767,plain,
% 48.27/31.36 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB10, bitIndex0) | (~v90(constB10, bitIndex1)) | (~v90(constB10, bitIndex2)) | v125(constB10))),
% 48.27/31.36 inference(quant_inst,[status(thm)],[])).
% 48.27/31.36 tff(3768,plain,
% 48.27/31.36 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB10, bitIndex0) | (~v90(constB10, bitIndex1)) | (~v90(constB10, bitIndex2)) | v125(constB10)),
% 48.27/31.36 inference(modus_ponens,[status(thm)],[3767, 3766])).
% 48.27/31.36 tff(3769,plain,
% 48.27/31.36 (v90(constB10, bitIndex0) | (~v90(constB10, bitIndex1)) | (~v90(constB10, bitIndex2))),
% 48.27/31.36 inference(unit_resolution,[status(thm)],[3768, 1019, 3765])).
% 48.27/31.36 tff(3770,plain,
% 48.27/31.36 ($false),
% 48.27/31.36 inference(unit_resolution,[status(thm)],[3769, 3764, 2910, 3758])).
% 48.27/31.36 tff(3771,plain,(v90(constB10, bitIndex0) | (~v90(constB10, bitIndex1)) | v125(constB10) | v121(constB10)), inference(lemma,lemma(discharge,[]))).
% 48.27/31.36 tff(3772,plain,
% 48.27/31.36 (v90(constB10, bitIndex0)),
% 48.27/31.36 inference(unit_resolution,[status(thm)],[3771, 3757, 3690, 3678])).
% 48.27/31.36 tff(3773,plain,
% 48.27/31.36 (((~![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)))),
% 48.27/31.36 inference(rewrite,[status(thm)],[])).
% 48.27/31.36 tff(3774,plain,
% 48.27/31.36 (((~nextState(constB9, constB10)) | v90(constB9, bitIndex0) | v100(constB10) | (~v90(constB10, bitIndex0))) <=> (v90(constB9, bitIndex0) | (~nextState(constB9, constB10)) | v100(constB10) | (~v90(constB10, bitIndex0)))),
% 48.27/31.36 inference(rewrite,[status(thm)],[])).
% 48.27/31.36 tff(3775,plain,
% 48.27/31.36 (((~![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))))),
% 48.27/31.36 inference(monotonicity,[status(thm)],[3774])).
% 48.27/31.36 tff(3776,plain,
% 48.27/31.36 (((~![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)))),
% 48.27/31.36 inference(transitivity,[status(thm)],[3775, 3773])).
% 48.27/31.36 tff(3777,plain,
% 48.27/31.36 ((~![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)))),
% 48.27/31.36 inference(quant_inst,[status(thm)],[])).
% 48.27/31.36 tff(3778,plain,
% 48.27/31.36 ((~![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))),
% 48.27/31.36 inference(modus_ponens,[status(thm)],[3777, 3776])).
% 48.27/31.36 tff(3779,plain,
% 48.27/31.36 (v90(constB9, bitIndex0) | v100(constB10) | (~v90(constB10, bitIndex0))),
% 48.27/31.36 inference(unit_resolution,[status(thm)],[3778, 123, 1601])).
% 48.27/31.36 tff(3780,plain,
% 48.27/31.36 (v100(constB10)),
% 48.27/31.36 inference(unit_resolution,[status(thm)],[3779, 3772, 2883])).
% 48.27/31.36 tff(3781,plain,
% 48.27/31.36 (((~![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)))),
% 48.27/31.36 inference(rewrite,[status(thm)],[])).
% 48.27/31.36 tff(3782,plain,
% 48.27/31.36 (((~v90(constB10, bitIndex1)) | (~v100(constB10)) | v129(constB10, bitIndex1)) <=> ((~v90(constB10, bitIndex1)) | v129(constB10, bitIndex1) | (~v100(constB10)))),
% 48.27/31.36 inference(rewrite,[status(thm)],[])).
% 48.27/31.36 tff(3783,plain,
% 48.27/31.36 (((~![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))))),
% 48.27/31.36 inference(monotonicity,[status(thm)],[3782])).
% 48.27/31.36 tff(3784,plain,
% 48.27/31.36 (((~![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)))),
% 48.27/31.36 inference(transitivity,[status(thm)],[3783, 3781])).
% 48.27/31.36 tff(3785,plain,
% 48.27/31.36 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB10, bitIndex1)) | (~v100(constB10)) | v129(constB10, bitIndex1))),
% 48.27/31.36 inference(quant_inst,[status(thm)],[])).
% 48.27/31.36 tff(3786,plain,
% 48.27/31.36 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB10, bitIndex1)) | v129(constB10, bitIndex1) | (~v100(constB10))),
% 48.27/31.36 inference(modus_ponens,[status(thm)],[3785, 3784])).
% 48.27/31.36 tff(3787,plain,
% 48.27/31.36 (v129(constB10, bitIndex1) | (~v100(constB10))),
% 48.27/31.36 inference(unit_resolution,[status(thm)],[3786, 483, 3757])).
% 48.27/31.36 tff(3788,plain,
% 48.27/31.36 (v129(constB10, bitIndex1)),
% 48.27/31.36 inference(unit_resolution,[status(thm)],[3787, 3780])).
% 48.27/31.36 tff(3789,plain,
% 48.27/31.36 (((~![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)))),
% 48.27/31.36 inference(rewrite,[status(thm)],[])).
% 48.27/31.36 tff(3790,plain,
% 48.27/31.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB9, constB10)) | v127(constB9, bitIndex1) | (~v129(constB10, bitIndex1)))),
% 48.27/31.36 inference(quant_inst,[status(thm)],[])).
% 48.27/31.36 tff(3791,plain,
% 48.27/31.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB9, constB10)) | v127(constB9, bitIndex1) | (~v129(constB10, bitIndex1))),
% 48.27/31.36 inference(modus_ponens,[status(thm)],[3790, 3789])).
% 48.27/31.36 tff(3792,plain,
% 48.27/31.36 (v127(constB9, bitIndex1) | (~v129(constB10, bitIndex1))),
% 48.27/31.36 inference(unit_resolution,[status(thm)],[3791, 468, 1601])).
% 48.27/31.36 tff(3793,plain,
% 48.27/31.36 (v127(constB9, bitIndex1)),
% 48.27/31.36 inference(unit_resolution,[status(thm)],[3792, 3788])).
% 48.27/31.36 tff(3794,plain,
% 48.27/31.36 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB9)) | (~v127(constB9, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB9)) | (~v127(constB9, bitIndex1)))),
% 48.27/31.36 inference(rewrite,[status(thm)],[])).
% 48.27/31.36 tff(3795,plain,
% 48.27/31.36 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB9)) | (~v127(constB9, bitIndex1)))),
% 48.27/31.36 inference(quant_inst,[status(thm)],[])).
% 48.27/31.36 tff(3796,plain,
% 48.27/31.36 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB9)) | (~v127(constB9, bitIndex1))),
% 48.27/31.36 inference(modus_ponens,[status(thm)],[3795, 3794])).
% 48.27/31.36 tff(3797,plain,
% 48.27/31.36 (~v26(constB9)),
% 48.27/31.36 inference(unit_resolution,[status(thm)],[3796, 1959, 3793])).
% 48.27/31.36 tff(3798,plain,
% 48.27/31.36 (((~![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))),
% 48.27/31.36 inference(rewrite,[status(thm)],[])).
% 48.27/31.36 tff(3799,plain,
% 48.27/31.36 ((v26(constB9) | v130(constB9, bitIndex1) | (~v127(constB9, bitIndex1))) <=> ((~v127(constB9, bitIndex1)) | v26(constB9) | v130(constB9, bitIndex1))),
% 48.27/31.36 inference(rewrite,[status(thm)],[])).
% 48.27/31.36 tff(3800,plain,
% 48.27/31.36 (((~![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)))),
% 48.27/31.36 inference(monotonicity,[status(thm)],[3799])).
% 48.27/31.36 tff(3801,plain,
% 48.27/31.36 (((~![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))),
% 48.27/31.36 inference(transitivity,[status(thm)],[3800, 3798])).
% 48.27/31.36 tff(3802,plain,
% 48.27/31.36 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB9) | v130(constB9, bitIndex1) | (~v127(constB9, bitIndex1)))),
% 48.27/31.36 inference(quant_inst,[status(thm)],[])).
% 48.27/31.36 tff(3803,plain,
% 48.27/31.36 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB9, bitIndex1)) | v26(constB9) | v130(constB9, bitIndex1)),
% 48.27/31.36 inference(modus_ponens,[status(thm)],[3802, 3801])).
% 48.27/31.36 tff(3804,plain,
% 48.27/31.36 (v130(constB9, bitIndex1)),
% 48.27/31.36 inference(unit_resolution,[status(thm)],[3803, 450, 3793, 3797])).
% 48.27/31.36 tff(3805,plain,
% 48.27/31.36 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB9)) | (~v130(constB9, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB9)) | (~v130(constB9, bitIndex1)))),
% 48.27/31.36 inference(rewrite,[status(thm)],[])).
% 48.27/31.36 tff(3806,plain,
% 48.27/31.36 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB9)) | (~v130(constB9, bitIndex1)))),
% 48.27/31.36 inference(quant_inst,[status(thm)],[])).
% 48.27/31.36 tff(3807,plain,
% 48.27/31.36 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB9)) | (~v130(constB9, bitIndex1))),
% 48.27/31.36 inference(modus_ponens,[status(thm)],[3806, 3805])).
% 48.27/31.36 tff(3808,plain,
% 48.27/31.36 (~v119(constB9)),
% 48.27/31.36 inference(unit_resolution,[status(thm)],[3807, 436, 3804])).
% 48.27/31.36 tff(3809,plain,
% 48.27/31.36 (v129(constB10, bitIndex0)),
% 48.27/31.36 inference(unit_resolution,[status(thm)],[3052, 557, 3780, 3772])).
% 48.27/31.36 tff(3810,plain,
% 48.27/31.36 (v127(constB9, bitIndex0)),
% 48.27/31.36 inference(unit_resolution,[status(thm)],[3058, 3809])).
% 48.27/31.36 tff(3811,plain,
% 48.27/31.36 (v130(constB9, bitIndex0)),
% 48.27/31.36 inference(unit_resolution,[status(thm)],[3065, 524, 3810, 3797])).
% 48.27/31.36 tff(3812,plain,
% 48.27/31.36 (~v123(constB9)),
% 48.27/31.36 inference(unit_resolution,[status(thm)],[3129, 975, 3811])).
% 48.27/31.36 tff(3813,plain,
% 48.27/31.36 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB10) | (~v122(constB10)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB10) | (~v122(constB10)))),
% 48.27/31.36 inference(rewrite,[status(thm)],[])).
% 48.27/31.36 tff(3814,plain,
% 48.27/31.36 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB10) | (~v122(constB10)))),
% 48.27/31.36 inference(quant_inst,[status(thm)],[])).
% 48.27/31.36 tff(3815,plain,
% 48.27/31.36 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB10) | (~v122(constB10))),
% 48.27/31.36 inference(modus_ponens,[status(thm)],[3814, 3813])).
% 48.27/31.36 tff(3816,plain,
% 48.27/31.36 (~v122(constB10)),
% 48.27/31.36 inference(unit_resolution,[status(thm)],[3815, 1800, 3706])).
% 48.27/31.36 tff(3817,plain,
% 48.27/31.36 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB10, bitIndex0)) | (~v90(constB10, bitIndex1)) | v90(constB10, bitIndex2) | v122(constB10))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB10, bitIndex0)) | (~v90(constB10, bitIndex1)) | v90(constB10, bitIndex2) | v122(constB10))),
% 48.27/31.36 inference(rewrite,[status(thm)],[])).
% 48.27/31.36 tff(3818,plain,
% 48.27/31.36 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB10, bitIndex0)) | (~v90(constB10, bitIndex1)) | v90(constB10, bitIndex2) | v122(constB10))),
% 48.27/31.36 inference(quant_inst,[status(thm)],[])).
% 48.27/31.36 tff(3819,plain,
% 48.27/31.36 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB10, bitIndex0)) | (~v90(constB10, bitIndex1)) | v90(constB10, bitIndex2) | v122(constB10)),
% 48.27/31.36 inference(modus_ponens,[status(thm)],[3818, 3817])).
% 48.27/31.36 tff(3820,plain,
% 48.27/31.36 ((~v90(constB10, bitIndex0)) | (~v90(constB10, bitIndex1)) | v90(constB10, bitIndex2)),
% 48.27/31.36 inference(unit_resolution,[status(thm)],[3819, 1789, 3816])).
% 48.27/31.36 tff(3821,plain,
% 48.27/31.36 (v90(constB10, bitIndex2)),
% 48.27/31.36 inference(unit_resolution,[status(thm)],[3820, 3772, 3757])).
% 48.27/31.36 tff(3822,plain,
% 48.27/31.36 (v129(constB10, bitIndex2)),
% 48.27/31.36 inference(unit_resolution,[status(thm)],[1668, 1258, 3780, 3821])).
% 48.27/31.36 tff(3823,plain,
% 48.27/31.36 (v127(constB9, bitIndex2)),
% 48.27/31.36 inference(unit_resolution,[status(thm)],[1661, 3822])).
% 48.27/31.36 tff(3824,plain,
% 48.27/31.36 (v130(constB9, bitIndex2)),
% 48.27/31.36 inference(unit_resolution,[status(thm)],[1655, 1210, 3823, 3797])).
% 48.27/31.36 tff(3825,plain,
% 48.27/31.36 (~v121(constB9)),
% 48.27/31.36 inference(unit_resolution,[status(thm)],[1648, 1645, 3824])).
% 48.27/31.36 tff(3826,plain,
% 48.27/31.36 (((~![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)))),
% 48.27/31.36 inference(rewrite,[status(thm)],[])).
% 48.27/31.36 tff(3827,plain,
% 48.27/31.36 ((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)))),
% 48.27/31.36 inference(rewrite,[status(thm)],[])).
% 48.27/31.36 tff(3828,plain,
% 48.27/31.36 (((~![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))))),
% 48.27/31.36 inference(monotonicity,[status(thm)],[3827])).
% 48.27/31.36 tff(3829,plain,
% 48.27/31.36 (((~![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)))),
% 48.27/31.36 inference(transitivity,[status(thm)],[3828, 3826])).
% 48.27/31.36 tff(3830,plain,
% 48.27/31.36 ((~![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)))),
% 48.27/31.36 inference(quant_inst,[status(thm)],[])).
% 48.27/31.36 tff(3831,plain,
% 48.27/31.36 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB9) | v123(constB9) | v122(constB9) | v121(constB9) | v120(constB9) | v119(constB9) | (~v130(constB9, bitIndex1))),
% 48.27/31.36 inference(modus_ponens,[status(thm)],[3830, 3829])).
% 48.27/31.36 tff(3832,plain,
% 48.27/31.36 (v123(constB9) | v121(constB9) | v119(constB9) | (~v130(constB9, bitIndex1))),
% 48.27/31.36 inference(unit_resolution,[status(thm)],[3831, 1143, 2936, 2925, 2947])).
% 48.27/31.36 tff(3833,plain,
% 48.27/31.36 ($false),
% 48.27/31.36 inference(unit_resolution,[status(thm)],[3832, 3825, 3812, 3808, 3804])).
% 48.27/31.36 tff(3834,plain,(v108(constB10) | v90(constB9, bitIndex0) | v127(constB10, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 48.27/31.36 tff(3835,plain,
% 48.27/31.36 (v90(constB9, bitIndex0)),
% 48.27/31.36 inference(unit_resolution,[status(thm)],[3834, 3663, 3619])).
% 48.27/31.36 tff(3836,plain,
% 48.27/31.36 (v90(constB8, bitIndex0)),
% 48.27/31.36 inference(unit_resolution,[status(thm)],[1540, 3835])).
% 48.27/31.36 tff(3837,plain,
% 48.27/31.36 (~v100(constB8)),
% 48.27/31.36 inference(unit_resolution,[status(thm)],[1531, 3836])).
% 48.27/31.36 tff(3838,plain,
% 48.27/31.36 (v100(constB8) | (~v90(constB8, bitIndex2))),
% 48.27/31.36 inference(unit_resolution,[status(thm)],[3292, 1275])).
% 48.27/31.36 tff(3839,plain,
% 48.27/31.36 (~v90(constB8, bitIndex2)),
% 48.27/31.36 inference(unit_resolution,[status(thm)],[3838, 3837])).
% 48.27/31.36 tff(3840,plain,
% 48.27/31.36 (~v90(constB9, bitIndex2)),
% 48.27/31.36 inference(unit_resolution,[status(thm)],[1439, 3839])).
% 48.27/31.36 tff(3841,plain,
% 48.27/31.36 (~v127(constB5, bitIndex1)),
% 48.27/31.36 inference(unit_resolution,[status(thm)],[1158, 27])).
% 48.27/31.36 tff(3842,plain,
% 48.27/31.36 (~v129(constB6, bitIndex1)),
% 48.27/31.36 inference(unit_resolution,[status(thm)],[1163, 3841])).
% 48.27/31.36 tff(3843,plain,
% 48.27/31.36 (~v90(constB6, bitIndex1)),
% 48.27/31.36 inference(unit_resolution,[status(thm)],[1171, 3842])).
% 48.27/31.36 tff(3844,plain,
% 48.27/31.36 (~v90(constB7, bitIndex1)),
% 48.27/31.36 inference(unit_resolution,[status(thm)],[1180, 3843])).
% 48.27/31.36 tff(3845,plain,
% 48.27/31.36 (((~![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)))),
% 48.27/31.36 inference(rewrite,[status(thm)],[])).
% 48.27/31.36 tff(3846,plain,
% 48.27/31.36 (((~nextState(constB7, constB8)) | v90(constB7, bitIndex1) | v100(constB8) | (~v90(constB8, bitIndex1))) <=> (v90(constB7, bitIndex1) | (~nextState(constB7, constB8)) | v100(constB8) | (~v90(constB8, bitIndex1)))),
% 48.27/31.36 inference(rewrite,[status(thm)],[])).
% 48.27/31.36 tff(3847,plain,
% 48.27/31.36 (((~![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))))),
% 48.27/31.37 inference(monotonicity,[status(thm)],[3846])).
% 48.27/31.37 tff(3848,plain,
% 48.27/31.37 (((~![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)))),
% 48.27/31.37 inference(transitivity,[status(thm)],[3847, 3845])).
% 48.27/31.37 tff(3849,plain,
% 48.27/31.37 ((~![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)))),
% 48.27/31.37 inference(quant_inst,[status(thm)],[])).
% 48.27/31.37 tff(3850,plain,
% 48.27/31.37 ((~![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))),
% 48.27/31.37 inference(modus_ponens,[status(thm)],[3849, 3848])).
% 48.27/31.37 tff(3851,plain,
% 48.27/31.37 (v90(constB7, bitIndex1) | v100(constB8) | (~v90(constB8, bitIndex1))),
% 48.27/31.37 inference(unit_resolution,[status(thm)],[3850, 102, 1338])).
% 48.27/31.37 tff(3852,plain,
% 48.27/31.37 (v100(constB8) | (~v90(constB8, bitIndex1))),
% 48.27/31.37 inference(unit_resolution,[status(thm)],[3851, 3844])).
% 48.27/31.37 tff(3853,plain,
% 48.27/31.37 (~v90(constB8, bitIndex1)),
% 48.27/31.37 inference(unit_resolution,[status(thm)],[3852, 3837])).
% 48.27/31.37 tff(3854,plain,
% 48.27/31.37 (~v90(constB9, bitIndex1)),
% 48.27/31.37 inference(unit_resolution,[status(thm)],[3282, 3853])).
% 48.27/31.37 tff(3855,plain,
% 48.27/31.37 (v120(constB9)),
% 48.27/31.37 inference(unit_resolution,[status(thm)],[3392, 1285, 3835, 3854, 3840])).
% 48.27/31.37 tff(3856,plain,
% 48.27/31.37 (((~![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)))),
% 48.27/31.37 inference(rewrite,[status(thm)],[])).
% 48.27/31.37 tff(3857,plain,
% 48.27/31.37 (((~nextState(constB9, constB10)) | v90(constB9, bitIndex1) | v100(constB10) | (~v90(constB10, bitIndex1))) <=> (v90(constB9, bitIndex1) | (~nextState(constB9, constB10)) | v100(constB10) | (~v90(constB10, bitIndex1)))),
% 48.27/31.37 inference(rewrite,[status(thm)],[])).
% 48.27/31.37 tff(3858,plain,
% 48.27/31.37 (((~![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))))),
% 48.27/31.37 inference(monotonicity,[status(thm)],[3857])).
% 48.27/31.37 tff(3859,plain,
% 48.27/31.37 (((~![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)))),
% 48.27/31.37 inference(transitivity,[status(thm)],[3858, 3856])).
% 48.27/31.37 tff(3860,plain,
% 48.27/31.37 ((~![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)))),
% 48.27/31.37 inference(quant_inst,[status(thm)],[])).
% 48.27/31.37 tff(3861,plain,
% 48.27/31.37 ((~![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))),
% 48.27/31.37 inference(modus_ponens,[status(thm)],[3860, 3859])).
% 48.27/31.37 tff(3862,plain,
% 48.27/31.37 (v90(constB9, bitIndex1) | v100(constB10) | (~v90(constB10, bitIndex1))),
% 48.27/31.37 inference(unit_resolution,[status(thm)],[3861, 102, 1601])).
% 48.27/31.37 tff(3863,plain,
% 48.27/31.37 (v100(constB10)),
% 48.27/31.37 inference(unit_resolution,[status(thm)],[3862, 3854, 3578])).
% 48.27/31.37 tff(3864,plain,
% 48.27/31.37 (v129(constB10, bitIndex2) | (~v100(constB10))),
% 48.27/31.37 inference(unit_resolution,[status(thm)],[1668, 1258, 3583])).
% 48.27/31.37 tff(3865,plain,
% 48.27/31.37 (v129(constB10, bitIndex2)),
% 48.27/31.37 inference(unit_resolution,[status(thm)],[3864, 3863])).
% 48.27/31.37 tff(3866,plain,
% 48.27/31.37 (v127(constB9, bitIndex2)),
% 48.27/31.37 inference(unit_resolution,[status(thm)],[1661, 3865])).
% 48.27/31.37 tff(3867,plain,
% 48.27/31.37 (v130(constB9, bitIndex2)),
% 48.27/31.37 inference(unit_resolution,[status(thm)],[1656, 3866])).
% 48.27/31.37 tff(3868,plain,
% 48.27/31.37 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB9)) | (~v130(constB9, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB9)) | (~v130(constB9, bitIndex2)))),
% 48.27/31.37 inference(rewrite,[status(thm)],[])).
% 48.27/31.37 tff(3869,plain,
% 48.27/31.37 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB9)) | (~v130(constB9, bitIndex2)))),
% 48.27/31.37 inference(quant_inst,[status(thm)],[])).
% 48.27/31.37 tff(3870,plain,
% 48.27/31.37 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB9)) | (~v130(constB9, bitIndex2))),
% 48.27/31.37 inference(modus_ponens,[status(thm)],[3869, 3868])).
% 48.27/31.37 tff(3871,plain,
% 48.27/31.37 ($false),
% 48.27/31.37 inference(unit_resolution,[status(thm)],[3870, 1383, 3867, 3855])).
% 48.27/31.37 tff(3872,plain,(v100(constB14) | (~v90(constB14, bitIndex2)) | (~v90(constB14, bitIndex1)) | (~v90(constB14, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 48.27/31.37 tff(3873,plain,
% 48.27/31.37 (v100(constB14)),
% 48.27/31.37 inference(unit_resolution,[status(thm)],[3872, 2767, 2749, 2731])).
% 48.27/31.37 tff(3874,plain,
% 48.27/31.37 (((~![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)))),
% 48.27/31.37 inference(rewrite,[status(thm)],[])).
% 48.27/31.37 tff(3875,plain,
% 48.27/31.37 (((~v90(constB14, bitIndex1)) | (~v100(constB14)) | v129(constB14, bitIndex1)) <=> ((~v90(constB14, bitIndex1)) | v129(constB14, bitIndex1) | (~v100(constB14)))),
% 48.27/31.37 inference(rewrite,[status(thm)],[])).
% 48.27/31.37 tff(3876,plain,
% 48.27/31.37 (((~![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))))),
% 48.27/31.37 inference(monotonicity,[status(thm)],[3875])).
% 48.27/31.37 tff(3877,plain,
% 48.27/31.37 (((~![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)))),
% 48.27/31.37 inference(transitivity,[status(thm)],[3876, 3874])).
% 48.27/31.37 tff(3878,plain,
% 48.27/31.37 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB14, bitIndex1)) | (~v100(constB14)) | v129(constB14, bitIndex1))),
% 48.27/31.37 inference(quant_inst,[status(thm)],[])).
% 48.27/31.37 tff(3879,plain,
% 48.27/31.37 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB14, bitIndex1)) | v129(constB14, bitIndex1) | (~v100(constB14))),
% 48.27/31.37 inference(modus_ponens,[status(thm)],[3878, 3877])).
% 48.27/31.37 tff(3880,plain,
% 48.27/31.37 (v129(constB14, bitIndex1) | (~v100(constB14))),
% 48.27/31.37 inference(unit_resolution,[status(thm)],[3879, 483, 2749])).
% 48.27/31.37 tff(3881,plain,
% 48.27/31.37 (v129(constB14, bitIndex1)),
% 48.27/31.37 inference(unit_resolution,[status(thm)],[3880, 3873])).
% 48.27/31.37 tff(3882,plain,
% 48.27/31.37 (((~![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)))),
% 48.27/31.37 inference(rewrite,[status(thm)],[])).
% 48.27/31.37 tff(3883,plain,
% 48.27/31.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB13, constB14)) | v127(constB13, bitIndex1) | (~v129(constB14, bitIndex1)))),
% 48.27/31.37 inference(quant_inst,[status(thm)],[])).
% 48.27/31.37 tff(3884,plain,
% 48.27/31.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB13, constB14)) | v127(constB13, bitIndex1) | (~v129(constB14, bitIndex1))),
% 48.27/31.37 inference(modus_ponens,[status(thm)],[3883, 3882])).
% 48.27/31.37 tff(3885,plain,
% 48.27/31.37 (v127(constB13, bitIndex1) | (~v129(constB14, bitIndex1))),
% 48.27/31.37 inference(unit_resolution,[status(thm)],[3884, 468, 2066])).
% 48.27/31.37 tff(3886,plain,
% 48.27/31.37 (v127(constB13, bitIndex1)),
% 48.27/31.37 inference(unit_resolution,[status(thm)],[3885, 3881])).
% 48.27/31.37 tff(3887,plain,
% 48.27/31.37 (((~![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))),
% 48.27/31.37 inference(rewrite,[status(thm)],[])).
% 48.27/31.37 tff(3888,plain,
% 48.27/31.37 ((v26(constB13) | v130(constB13, bitIndex1) | (~v127(constB13, bitIndex1))) <=> ((~v127(constB13, bitIndex1)) | v26(constB13) | v130(constB13, bitIndex1))),
% 48.27/31.37 inference(rewrite,[status(thm)],[])).
% 48.27/31.37 tff(3889,plain,
% 48.27/31.37 (((~![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)))),
% 48.27/31.37 inference(monotonicity,[status(thm)],[3888])).
% 48.27/31.37 tff(3890,plain,
% 48.27/31.37 (((~![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))),
% 48.27/31.37 inference(transitivity,[status(thm)],[3889, 3887])).
% 48.27/31.37 tff(3891,plain,
% 48.27/31.37 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB13) | v130(constB13, bitIndex1) | (~v127(constB13, bitIndex1)))),
% 48.27/31.37 inference(quant_inst,[status(thm)],[])).
% 48.27/31.37 tff(3892,plain,
% 48.27/31.37 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB13, bitIndex1)) | v26(constB13) | v130(constB13, bitIndex1)),
% 48.27/31.37 inference(modus_ponens,[status(thm)],[3891, 3890])).
% 48.27/31.37 tff(3893,plain,
% 48.27/31.37 ((~v127(constB13, bitIndex1)) | v130(constB13, bitIndex1)),
% 48.27/31.37 inference(unit_resolution,[status(thm)],[3892, 450, 2051])).
% 48.27/31.37 tff(3894,plain,
% 48.27/31.37 (v130(constB13, bitIndex1)),
% 48.27/31.37 inference(unit_resolution,[status(thm)],[3893, 3886])).
% 48.27/31.37 tff(3895,plain,
% 48.27/31.37 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB13)) | (~v130(constB13, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB13)) | (~v130(constB13, bitIndex1)))),
% 48.27/31.37 inference(rewrite,[status(thm)],[])).
% 48.27/31.37 tff(3896,plain,
% 48.27/31.37 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB13)) | (~v130(constB13, bitIndex1)))),
% 48.27/31.37 inference(quant_inst,[status(thm)],[])).
% 48.27/31.37 tff(3897,plain,
% 48.27/31.37 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB13)) | (~v130(constB13, bitIndex1))),
% 48.27/31.37 inference(modus_ponens,[status(thm)],[3896, 3895])).
% 48.27/31.37 tff(3898,plain,
% 48.27/31.37 (~v119(constB13)),
% 48.27/31.37 inference(unit_resolution,[status(thm)],[3897, 436, 3894])).
% 48.27/31.37 tff(3899,plain,
% 48.27/31.37 (((~![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)))),
% 48.27/31.37 inference(rewrite,[status(thm)],[])).
% 48.27/31.37 tff(3900,plain,
% 48.27/31.37 (((~v90(constB14, bitIndex2)) | (~v100(constB14)) | v129(constB14, bitIndex2)) <=> ((~v90(constB14, bitIndex2)) | v129(constB14, bitIndex2) | (~v100(constB14)))),
% 48.27/31.37 inference(rewrite,[status(thm)],[])).
% 48.27/31.37 tff(3901,plain,
% 48.27/31.37 (((~![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))))),
% 48.27/31.37 inference(monotonicity,[status(thm)],[3900])).
% 48.27/31.37 tff(3902,plain,
% 48.27/31.37 (((~![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)))),
% 48.27/31.37 inference(transitivity,[status(thm)],[3901, 3899])).
% 48.27/31.37 tff(3903,plain,
% 48.27/31.37 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB14, bitIndex2)) | (~v100(constB14)) | v129(constB14, bitIndex2))),
% 48.27/31.37 inference(quant_inst,[status(thm)],[])).
% 48.27/31.37 tff(3904,plain,
% 48.27/31.37 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB14, bitIndex2)) | v129(constB14, bitIndex2) | (~v100(constB14))),
% 48.27/31.37 inference(modus_ponens,[status(thm)],[3903, 3902])).
% 48.27/31.37 tff(3905,plain,
% 48.27/31.37 (v129(constB14, bitIndex2) | (~v100(constB14))),
% 48.27/31.37 inference(unit_resolution,[status(thm)],[3904, 1258, 2767])).
% 48.27/31.37 tff(3906,plain,
% 48.27/31.37 (v129(constB14, bitIndex2)),
% 48.27/31.37 inference(unit_resolution,[status(thm)],[3905, 3873])).
% 48.27/31.37 tff(3907,plain,
% 48.27/31.37 (((~![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)))),
% 48.27/31.37 inference(rewrite,[status(thm)],[])).
% 48.27/31.37 tff(3908,plain,
% 48.27/31.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB13, constB14)) | v127(constB13, bitIndex2) | (~v129(constB14, bitIndex2)))),
% 48.27/31.37 inference(quant_inst,[status(thm)],[])).
% 48.27/31.37 tff(3909,plain,
% 48.27/31.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB13, constB14)) | v127(constB13, bitIndex2) | (~v129(constB14, bitIndex2))),
% 48.27/31.37 inference(modus_ponens,[status(thm)],[3908, 3907])).
% 48.27/31.37 tff(3910,plain,
% 48.27/31.37 (v127(constB13, bitIndex2) | (~v129(constB14, bitIndex2))),
% 48.27/31.37 inference(unit_resolution,[status(thm)],[3909, 1243, 2066])).
% 48.27/31.37 tff(3911,plain,
% 48.27/31.37 (v127(constB13, bitIndex2)),
% 48.27/31.37 inference(unit_resolution,[status(thm)],[3910, 3906])).
% 48.27/31.37 tff(3912,plain,
% 48.27/31.37 (((~![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))),
% 48.27/31.37 inference(rewrite,[status(thm)],[])).
% 48.27/31.37 tff(3913,plain,
% 48.27/31.37 ((v26(constB13) | v130(constB13, bitIndex2) | (~v127(constB13, bitIndex2))) <=> ((~v127(constB13, bitIndex2)) | v26(constB13) | v130(constB13, bitIndex2))),
% 48.27/31.37 inference(rewrite,[status(thm)],[])).
% 48.27/31.37 tff(3914,plain,
% 48.27/31.37 (((~![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)))),
% 48.27/31.37 inference(monotonicity,[status(thm)],[3913])).
% 48.27/31.37 tff(3915,plain,
% 48.27/31.37 (((~![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))),
% 48.27/31.37 inference(transitivity,[status(thm)],[3914, 3912])).
% 48.27/31.37 tff(3916,plain,
% 48.27/31.37 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB13) | v130(constB13, bitIndex2) | (~v127(constB13, bitIndex2)))),
% 48.27/31.37 inference(quant_inst,[status(thm)],[])).
% 48.27/31.37 tff(3917,plain,
% 48.27/31.37 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB13, bitIndex2)) | v26(constB13) | v130(constB13, bitIndex2)),
% 48.27/31.37 inference(modus_ponens,[status(thm)],[3916, 3915])).
% 48.27/31.37 tff(3918,plain,
% 48.27/31.37 ((~v127(constB13, bitIndex2)) | v130(constB13, bitIndex2)),
% 48.27/31.37 inference(unit_resolution,[status(thm)],[3917, 1210, 2051])).
% 48.27/31.37 tff(3919,plain,
% 48.27/31.37 (v130(constB13, bitIndex2)),
% 48.27/31.37 inference(unit_resolution,[status(thm)],[3918, 3911])).
% 48.27/31.37 tff(3920,plain,
% 48.27/31.37 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB13)) | (~v130(constB13, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB13)) | (~v130(constB13, bitIndex2)))),
% 48.27/31.37 inference(rewrite,[status(thm)],[])).
% 48.27/31.37 tff(3921,plain,
% 48.27/31.37 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB13)) | (~v130(constB13, bitIndex2)))),
% 48.27/31.37 inference(quant_inst,[status(thm)],[])).
% 48.27/31.37 tff(3922,plain,
% 48.27/31.37 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB13)) | (~v130(constB13, bitIndex2))),
% 48.27/31.37 inference(modus_ponens,[status(thm)],[3921, 3920])).
% 48.27/31.37 tff(3923,plain,
% 48.27/31.37 (~v120(constB13)),
% 48.27/31.37 inference(unit_resolution,[status(thm)],[3922, 1383, 3919])).
% 48.27/31.37 tff(3924,plain,
% 48.27/31.37 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB13)) | (~v130(constB13, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB13)) | (~v130(constB13, bitIndex2)))),
% 48.27/31.37 inference(rewrite,[status(thm)],[])).
% 48.27/31.37 tff(3925,plain,
% 48.27/31.37 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB13)) | (~v130(constB13, bitIndex2)))),
% 48.27/31.37 inference(quant_inst,[status(thm)],[])).
% 48.27/31.37 tff(3926,plain,
% 48.27/31.37 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB13)) | (~v130(constB13, bitIndex2))),
% 48.27/31.37 inference(modus_ponens,[status(thm)],[3925, 3924])).
% 48.27/31.37 tff(3927,plain,
% 48.27/31.37 (~v121(constB13)),
% 48.27/31.37 inference(unit_resolution,[status(thm)],[3926, 1645, 3919])).
% 48.27/31.37 tff(3928,plain,
% 48.27/31.37 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB13)) | (~v130(constB13, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB13)) | (~v130(constB13, bitIndex1)))),
% 48.27/31.37 inference(rewrite,[status(thm)],[])).
% 48.27/31.37 tff(3929,plain,
% 48.27/31.37 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB13)) | (~v130(constB13, bitIndex1)))),
% 48.27/31.37 inference(quant_inst,[status(thm)],[])).
% 48.27/31.37 tff(3930,plain,
% 48.27/31.37 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB13)) | (~v130(constB13, bitIndex1))),
% 48.27/31.37 inference(modus_ponens,[status(thm)],[3929, 3928])).
% 48.27/31.37 tff(3931,plain,
% 48.27/31.37 (~v122(constB13)),
% 48.27/31.37 inference(unit_resolution,[status(thm)],[3930, 1935, 3894])).
% 48.27/31.37 tff(3932,plain,
% 48.27/31.37 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB13)) | (~v130(constB13, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB13)) | (~v130(constB13, bitIndex2)))),
% 48.27/31.37 inference(rewrite,[status(thm)],[])).
% 48.27/31.37 tff(3933,plain,
% 48.27/31.37 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB13)) | (~v130(constB13, bitIndex2)))),
% 48.27/31.37 inference(quant_inst,[status(thm)],[])).
% 48.27/31.37 tff(3934,plain,
% 48.27/31.37 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB13)) | (~v130(constB13, bitIndex2))),
% 48.27/31.37 inference(modus_ponens,[status(thm)],[3933, 3932])).
% 48.27/31.37 tff(3935,plain,
% 48.27/31.37 (~v124(constB13)),
% 48.27/31.37 inference(unit_resolution,[status(thm)],[3934, 2853, 3919])).
% 48.27/31.37 tff(3936,assumption,(~v123(constB13)), introduced(assumption)).
% 48.27/31.37 tff(3937,plain,
% 48.27/31.37 (((~![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)))),
% 48.27/31.37 inference(rewrite,[status(thm)],[])).
% 48.27/31.37 tff(3938,plain,
% 48.27/31.37 ((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)))),
% 48.27/31.37 inference(rewrite,[status(thm)],[])).
% 48.27/31.37 tff(3939,plain,
% 48.27/31.37 (((~![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))))),
% 48.27/31.37 inference(monotonicity,[status(thm)],[3938])).
% 48.27/31.37 tff(3940,plain,
% 48.27/31.37 (((~![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)))),
% 48.27/31.37 inference(transitivity,[status(thm)],[3939, 3937])).
% 48.27/31.37 tff(3941,plain,
% 48.27/31.37 ((~![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)))),
% 48.27/31.37 inference(quant_inst,[status(thm)],[])).
% 48.27/31.37 tff(3942,plain,
% 48.27/31.37 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB13) | v123(constB13) | v122(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | (~v130(constB13, bitIndex1))),
% 48.27/31.37 inference(modus_ponens,[status(thm)],[3941, 3940])).
% 48.27/31.37 tff(3943,plain,
% 48.27/31.37 (v124(constB13) | v122(constB13) | v121(constB13) | v120(constB13) | v119(constB13) | (~v130(constB13, bitIndex1))),
% 48.27/31.37 inference(unit_resolution,[status(thm)],[3942, 1143, 3936])).
% 48.27/31.37 tff(3944,plain,
% 48.27/31.37 ($false),
% 48.27/31.37 inference(unit_resolution,[status(thm)],[3943, 3935, 3931, 3894, 3927, 3923, 3898])).
% 48.27/31.37 tff(3945,plain,(v100(constB16) | v123(constB13) | (~v90(constB16, bitIndex0)) | (~v90(constB16, bitIndex2)) | (~v90(constB16, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 48.27/31.37 tff(3946,plain,
% 48.27/31.37 (v100(constB16)),
% 48.27/31.37 inference(unit_resolution,[status(thm)],[3945, 2720, 2702, 2692, 2701])).
% 48.27/31.37 tff(3947,plain,
% 48.27/31.37 (v129(constB16, bitIndex2)),
% 48.27/31.37 inference(unit_resolution,[status(thm)],[2443, 1258, 3946, 2692])).
% 48.27/31.37 tff(3948,plain,
% 48.27/31.37 (v127(constB15, bitIndex2)),
% 48.27/31.37 inference(unit_resolution,[status(thm)],[2436, 3947])).
% 48.27/31.37 tff(3949,plain,
% 48.27/31.37 (v130(constB15, bitIndex2)),
% 48.27/31.37 inference(unit_resolution,[status(thm)],[2431, 3948])).
% 48.27/31.37 tff(3950,plain,
% 48.27/31.37 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB15)) | (~v130(constB15, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB15)) | (~v130(constB15, bitIndex2)))),
% 48.27/31.37 inference(rewrite,[status(thm)],[])).
% 48.27/31.37 tff(3951,plain,
% 48.27/31.37 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB15)) | (~v130(constB15, bitIndex2)))),
% 48.27/31.37 inference(quant_inst,[status(thm)],[])).
% 48.27/31.37 tff(3952,plain,
% 48.27/31.37 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB15)) | (~v130(constB15, bitIndex2))),
% 48.27/31.37 inference(modus_ponens,[status(thm)],[3951, 3950])).
% 48.27/31.37 tff(3953,plain,
% 48.27/31.37 (~v124(constB15)),
% 48.27/31.37 inference(unit_resolution,[status(thm)],[3952, 2853, 3949])).
% 48.27/31.37 tff(3954,plain,
% 48.27/31.37 (((~![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)))),
% 48.27/31.37 inference(rewrite,[status(thm)],[])).
% 48.27/31.37 tff(3955,plain,
% 48.27/31.37 (((~v90(constB16, bitIndex0)) | (~v100(constB16)) | v129(constB16, bitIndex0)) <=> ((~v90(constB16, bitIndex0)) | v129(constB16, bitIndex0) | (~v100(constB16)))),
% 48.27/31.37 inference(rewrite,[status(thm)],[])).
% 48.27/31.37 tff(3956,plain,
% 48.27/31.37 (((~![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))))),
% 48.27/31.37 inference(monotonicity,[status(thm)],[3955])).
% 48.27/31.37 tff(3957,plain,
% 48.27/31.37 (((~![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)))),
% 48.27/31.37 inference(transitivity,[status(thm)],[3956, 3954])).
% 48.27/31.37 tff(3958,plain,
% 48.27/31.37 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB16, bitIndex0)) | (~v100(constB16)) | v129(constB16, bitIndex0))),
% 48.27/31.37 inference(quant_inst,[status(thm)],[])).
% 48.27/31.37 tff(3959,plain,
% 48.27/31.37 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB16, bitIndex0)) | v129(constB16, bitIndex0) | (~v100(constB16))),
% 48.27/31.37 inference(modus_ponens,[status(thm)],[3958, 3957])).
% 48.27/31.37 tff(3960,plain,
% 48.27/31.37 (v129(constB16, bitIndex0)),
% 48.27/31.37 inference(unit_resolution,[status(thm)],[3959, 557, 3946, 2720])).
% 48.27/31.37 tff(3961,plain,
% 48.27/31.37 (((~![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)))),
% 48.27/31.37 inference(rewrite,[status(thm)],[])).
% 48.27/31.37 tff(3962,plain,
% 48.27/31.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB15, constB16)) | v127(constB15, bitIndex0) | (~v129(constB16, bitIndex0)))),
% 48.27/31.37 inference(quant_inst,[status(thm)],[])).
% 48.27/31.37 tff(3963,plain,
% 48.27/31.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB15, constB16)) | v127(constB15, bitIndex0) | (~v129(constB16, bitIndex0))),
% 48.27/31.37 inference(modus_ponens,[status(thm)],[3962, 3961])).
% 48.27/31.37 tff(3964,plain,
% 48.27/31.37 (v127(constB15, bitIndex0) | (~v129(constB16, bitIndex0))),
% 48.27/31.37 inference(unit_resolution,[status(thm)],[3963, 542, 2241])).
% 48.27/31.37 tff(3965,plain,
% 48.27/31.37 (v127(constB15, bitIndex0)),
% 48.27/31.37 inference(unit_resolution,[status(thm)],[3964, 3960])).
% 48.27/31.37 tff(3966,plain,
% 48.27/31.37 (((~![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))),
% 48.27/31.37 inference(rewrite,[status(thm)],[])).
% 48.27/31.37 tff(3967,plain,
% 48.27/31.37 ((v26(constB15) | v130(constB15, bitIndex0) | (~v127(constB15, bitIndex0))) <=> ((~v127(constB15, bitIndex0)) | v26(constB15) | v130(constB15, bitIndex0))),
% 48.27/31.37 inference(rewrite,[status(thm)],[])).
% 48.27/31.37 tff(3968,plain,
% 48.27/31.37 (((~![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)))),
% 48.27/31.37 inference(monotonicity,[status(thm)],[3967])).
% 48.27/31.37 tff(3969,plain,
% 48.27/31.37 (((~![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))),
% 48.27/31.38 inference(transitivity,[status(thm)],[3968, 3966])).
% 48.27/31.38 tff(3970,plain,
% 48.27/31.38 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB15) | v130(constB15, bitIndex0) | (~v127(constB15, bitIndex0)))),
% 48.27/31.38 inference(quant_inst,[status(thm)],[])).
% 48.27/31.38 tff(3971,plain,
% 48.27/31.38 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB15, bitIndex0)) | v26(constB15) | v130(constB15, bitIndex0)),
% 48.27/31.38 inference(modus_ponens,[status(thm)],[3970, 3969])).
% 48.27/31.38 tff(3972,plain,
% 48.27/31.38 ((~v127(constB15, bitIndex0)) | v130(constB15, bitIndex0)),
% 48.27/31.38 inference(unit_resolution,[status(thm)],[3971, 524, 2226])).
% 48.27/31.38 tff(3973,plain,
% 48.27/31.38 (v130(constB15, bitIndex0)),
% 48.27/31.38 inference(unit_resolution,[status(thm)],[3972, 3965])).
% 48.27/31.38 tff(3974,plain,
% 48.27/31.38 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB15)) | (~v130(constB15, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB15)) | (~v130(constB15, bitIndex0)))),
% 48.27/31.38 inference(rewrite,[status(thm)],[])).
% 48.27/31.38 tff(3975,plain,
% 48.27/31.38 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB15)) | (~v130(constB15, bitIndex0)))),
% 48.27/31.38 inference(quant_inst,[status(thm)],[])).
% 48.27/31.38 tff(3976,plain,
% 48.27/31.38 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB15)) | (~v130(constB15, bitIndex0))),
% 48.27/31.38 inference(modus_ponens,[status(thm)],[3975, 3974])).
% 48.27/31.38 tff(3977,plain,
% 48.27/31.38 (~v123(constB15)),
% 48.27/31.38 inference(unit_resolution,[status(thm)],[3976, 975, 3973])).
% 48.27/31.38 tff(3978,plain,
% 48.27/31.38 (v129(constB16, bitIndex1) | (~v100(constB16))),
% 48.27/31.38 inference(unit_resolution,[status(thm)],[2350, 483, 2702])).
% 48.27/31.38 tff(3979,plain,
% 48.27/31.38 (v129(constB16, bitIndex1)),
% 48.27/31.38 inference(unit_resolution,[status(thm)],[3978, 3946])).
% 48.27/31.38 tff(3980,plain,
% 48.27/31.38 (v127(constB15, bitIndex1)),
% 48.27/31.38 inference(unit_resolution,[status(thm)],[2343, 3979])).
% 48.27/31.38 tff(3981,plain,
% 48.27/31.38 (v130(constB15, bitIndex1)),
% 48.27/31.38 inference(unit_resolution,[status(thm)],[2338, 3980])).
% 48.27/31.38 tff(3982,plain,
% 48.27/31.38 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB15)) | (~v130(constB15, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB15)) | (~v130(constB15, bitIndex1)))),
% 48.27/31.38 inference(rewrite,[status(thm)],[])).
% 48.27/31.38 tff(3983,plain,
% 48.27/31.38 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB15)) | (~v130(constB15, bitIndex1)))),
% 48.27/31.38 inference(quant_inst,[status(thm)],[])).
% 48.27/31.38 tff(3984,plain,
% 48.27/31.38 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB15)) | (~v130(constB15, bitIndex1))),
% 48.27/31.38 inference(modus_ponens,[status(thm)],[3983, 3982])).
% 48.27/31.38 tff(3985,plain,
% 48.27/31.38 (~v122(constB15)),
% 48.27/31.38 inference(unit_resolution,[status(thm)],[3984, 1935, 3981])).
% 48.27/31.38 tff(3986,plain,
% 48.27/31.38 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB15)) | (~v130(constB15, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB15)) | (~v130(constB15, bitIndex1)))),
% 48.27/31.38 inference(rewrite,[status(thm)],[])).
% 48.27/31.38 tff(3987,plain,
% 48.27/31.38 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB15)) | (~v130(constB15, bitIndex1)))),
% 48.27/31.38 inference(quant_inst,[status(thm)],[])).
% 48.27/31.38 tff(3988,plain,
% 48.27/31.38 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB15)) | (~v130(constB15, bitIndex1))),
% 48.27/31.38 inference(modus_ponens,[status(thm)],[3987, 3986])).
% 48.27/31.38 tff(3989,plain,
% 48.27/31.38 (~v119(constB15)),
% 48.27/31.38 inference(unit_resolution,[status(thm)],[3988, 436, 3981])).
% 48.27/31.38 tff(3990,plain,
% 48.27/31.38 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB15)) | (~v130(constB15, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB15)) | (~v130(constB15, bitIndex0)))),
% 48.27/31.38 inference(rewrite,[status(thm)],[])).
% 48.27/31.38 tff(3991,plain,
% 48.27/31.38 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB15)) | (~v130(constB15, bitIndex0)))),
% 48.27/31.38 inference(quant_inst,[status(thm)],[])).
% 48.27/31.38 tff(3992,plain,
% 48.27/31.38 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB15)) | (~v130(constB15, bitIndex0))),
% 48.27/31.38 inference(modus_ponens,[status(thm)],[3991, 3990])).
% 48.27/31.38 tff(3993,plain,
% 48.27/31.38 (~v120(constB15)),
% 48.27/31.38 inference(unit_resolution,[status(thm)],[3992, 1492, 3973])).
% 48.27/31.38 tff(3994,plain,
% 48.27/31.38 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB15)) | (~v130(constB15, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB15)) | (~v130(constB15, bitIndex2)))),
% 48.27/31.38 inference(rewrite,[status(thm)],[])).
% 48.27/31.38 tff(3995,plain,
% 48.27/31.38 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB15)) | (~v130(constB15, bitIndex2)))),
% 48.27/31.38 inference(quant_inst,[status(thm)],[])).
% 48.27/31.38 tff(3996,plain,
% 48.27/31.38 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB15)) | (~v130(constB15, bitIndex2))),
% 48.27/31.38 inference(modus_ponens,[status(thm)],[3995, 3994])).
% 48.27/31.38 tff(3997,plain,
% 48.27/31.38 (~v121(constB15)),
% 48.27/31.38 inference(unit_resolution,[status(thm)],[3996, 1645, 3949])).
% 48.27/31.38 tff(3998,plain,
% 48.27/31.38 (v120(constB15) | v119(constB15) | v121(constB15) | v122(constB15) | v123(constB15) | v124(constB15)),
% 48.27/31.38 inference(unit_resolution,[status(thm)],[2322, 1143, 3981])).
% 48.27/31.38 tff(3999,plain,
% 48.27/31.38 ($false),
% 48.27/31.38 inference(unit_resolution,[status(thm)],[3998, 3997, 3993, 3989, 3985, 3977, 3953])).
% 48.27/31.38 tff(4000,plain,(v100(constB18)), inference(lemma,lemma(discharge,[]))).
% 48.27/31.38 tff(4001,plain,
% 48.27/31.38 (((~![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)))),
% 48.27/31.38 inference(rewrite,[status(thm)],[])).
% 48.27/31.38 tff(4002,plain,
% 48.27/31.38 ((v90(constB18, bitIndex2) | (~v100(constB18)) | (~v129(constB18, bitIndex2))) <=> (v90(constB18, bitIndex2) | (~v129(constB18, bitIndex2)) | (~v100(constB18)))),
% 48.27/31.38 inference(rewrite,[status(thm)],[])).
% 48.27/31.38 tff(4003,plain,
% 48.27/31.38 (((~![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))))),
% 48.27/31.38 inference(monotonicity,[status(thm)],[4002])).
% 48.27/31.38 tff(4004,plain,
% 48.27/31.38 (((~![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)))),
% 48.27/31.38 inference(transitivity,[status(thm)],[4003, 4001])).
% 48.27/31.38 tff(4005,plain,
% 48.27/31.38 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB18, bitIndex2) | (~v100(constB18)) | (~v129(constB18, bitIndex2)))),
% 48.27/31.38 inference(quant_inst,[status(thm)],[])).
% 48.27/31.38 tff(4006,plain,
% 48.27/31.38 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB18, bitIndex2) | (~v129(constB18, bitIndex2)) | (~v100(constB18))),
% 48.27/31.38 inference(modus_ponens,[status(thm)],[4005, 4004])).
% 48.27/31.38 tff(4007,plain,
% 48.27/31.38 (v90(constB18, bitIndex2) | (~v129(constB18, bitIndex2))),
% 48.27/31.38 inference(unit_resolution,[status(thm)],[4006, 381, 4000])).
% 48.27/31.38 tff(4008,plain,
% 48.27/31.38 (~v129(constB18, bitIndex2)),
% 48.27/31.38 inference(unit_resolution,[status(thm)],[4007, 2544])).
% 48.27/31.38 tff(4009,plain,
% 48.27/31.38 (((~![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))),
% 48.27/31.38 inference(rewrite,[status(thm)],[])).
% 48.27/31.38 tff(4010,plain,
% 48.27/31.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB17, constB18)) | (~v127(constB17, bitIndex2)) | v129(constB18, bitIndex2))),
% 48.27/31.38 inference(quant_inst,[status(thm)],[])).
% 48.27/31.38 tff(4011,plain,
% 48.27/31.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB17, constB18)) | (~v127(constB17, bitIndex2)) | v129(constB18, bitIndex2)),
% 48.27/31.38 inference(modus_ponens,[status(thm)],[4010, 4009])).
% 48.27/31.38 tff(4012,plain,
% 48.27/31.38 ((~v127(constB17, bitIndex2)) | v129(constB18, bitIndex2)),
% 48.27/31.38 inference(unit_resolution,[status(thm)],[4011, 366, 2505])).
% 48.27/31.38 tff(4013,plain,
% 48.27/31.38 (~v127(constB17, bitIndex2)),
% 48.27/31.38 inference(unit_resolution,[status(thm)],[4012, 4008])).
% 48.27/31.38 tff(4014,plain,
% 48.27/31.38 (((~![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))) | v26(constB17) | (~v130(constB17, bitIndex2)) | v127(constB17, bitIndex2))),
% 48.27/31.38 inference(rewrite,[status(thm)],[])).
% 48.27/31.38 tff(4015,plain,
% 48.27/31.38 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB17) | (~v130(constB17, bitIndex2)) | v127(constB17, bitIndex2))),
% 48.27/31.38 inference(quant_inst,[status(thm)],[])).
% 48.27/31.38 tff(4016,plain,
% 48.27/31.38 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB17) | (~v130(constB17, bitIndex2)) | v127(constB17, bitIndex2)),
% 48.27/31.38 inference(modus_ponens,[status(thm)],[4015, 4014])).
% 48.27/31.38 tff(4017,plain,
% 48.27/31.38 ((~v130(constB17, bitIndex2)) | v127(constB17, bitIndex2)),
% 48.27/31.38 inference(unit_resolution,[status(thm)],[4016, 351, 2530])).
% 48.27/31.38 tff(4018,plain,
% 48.27/31.38 (~v130(constB17, bitIndex2)),
% 48.27/31.38 inference(unit_resolution,[status(thm)],[4017, 4013])).
% 48.27/31.38 tff(4019,plain,
% 48.27/31.38 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB17)) | v130(constB17, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB17)) | v130(constB17, bitIndex2))),
% 48.27/31.38 inference(rewrite,[status(thm)],[])).
% 48.27/31.38 tff(4020,plain,
% 48.27/31.38 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB17)) | v130(constB17, bitIndex2))),
% 48.27/31.38 inference(quant_inst,[status(thm)],[])).
% 48.27/31.38 tff(4021,plain,
% 48.27/31.38 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB17)) | v130(constB17, bitIndex2)),
% 48.27/31.38 inference(modus_ponens,[status(thm)],[4020, 4019])).
% 48.27/31.38 tff(4022,plain,
% 48.27/31.38 (~v119(constB17)),
% 48.27/31.38 inference(unit_resolution,[status(thm)],[4021, 337, 4018])).
% 48.27/31.38 tff(4023,plain,
% 48.27/31.38 (~v130(constB15, bitIndex2)),
% 48.27/31.38 inference(unit_resolution,[status(thm)],[2423, 1192, 2316, 2305, 2301, 2297, 2283, 2279])).
% 48.27/31.38 tff(4024,plain,
% 48.27/31.38 (~v127(constB15, bitIndex2)),
% 48.27/31.38 inference(unit_resolution,[status(thm)],[2431, 4023])).
% 48.27/31.38 tff(4025,plain,
% 48.27/31.38 (~v129(constB16, bitIndex2)),
% 48.27/31.38 inference(unit_resolution,[status(thm)],[2436, 4024])).
% 48.27/31.38 tff(4026,plain,
% 48.27/31.38 ((~v90(constB16, bitIndex2)) | (~v100(constB16))),
% 48.27/31.38 inference(unit_resolution,[status(thm)],[2443, 1258, 4025])).
% 48.27/31.38 tff(4027,plain,
% 48.27/31.38 (~v90(constB16, bitIndex2)),
% 48.27/31.38 inference(unit_resolution,[status(thm)],[4026, 2275])).
% 48.27/31.38 tff(4028,plain,
% 48.27/31.38 (~v90(constB17, bitIndex2)),
% 48.27/31.38 inference(unit_resolution,[status(thm)],[2453, 4027])).
% 48.27/31.38 tff(4029,plain,
% 48.27/31.38 (v120(constB17)),
% 48.27/31.38 inference(unit_resolution,[status(thm)],[2651, 4028, 4022, 2379])).
% 48.27/31.38 tff(4030,plain,
% 48.27/31.38 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB17)) | (~v130(constB17, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB17)) | (~v130(constB17, bitIndex0)))),
% 48.27/31.38 inference(rewrite,[status(thm)],[])).
% 48.27/31.38 tff(4031,plain,
% 48.27/31.38 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB17)) | (~v130(constB17, bitIndex0)))),
% 48.27/31.38 inference(quant_inst,[status(thm)],[])).
% 48.27/31.38 tff(4032,plain,
% 48.27/31.38 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB17)) | (~v130(constB17, bitIndex0))),
% 48.27/31.38 inference(modus_ponens,[status(thm)],[4031, 4030])).
% 48.27/31.38 tff(4033,plain,
% 48.27/31.38 (~v130(constB17, bitIndex0)),
% 48.27/31.38 inference(unit_resolution,[status(thm)],[4032, 1492, 4029])).
% 48.27/31.38 tff(4034,plain,
% 48.27/31.38 (((~![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))),
% 48.27/31.38 inference(rewrite,[status(thm)],[])).
% 48.27/31.38 tff(4035,plain,
% 48.27/31.38 ((v26(constB17) | v130(constB17, bitIndex0) | (~v127(constB17, bitIndex0))) <=> ((~v127(constB17, bitIndex0)) | v26(constB17) | v130(constB17, bitIndex0))),
% 48.27/31.38 inference(rewrite,[status(thm)],[])).
% 48.27/31.38 tff(4036,plain,
% 48.27/31.38 (((~![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)))),
% 48.27/31.38 inference(monotonicity,[status(thm)],[4035])).
% 48.27/31.38 tff(4037,plain,
% 48.27/31.38 (((~![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))),
% 48.27/31.38 inference(transitivity,[status(thm)],[4036, 4034])).
% 48.27/31.38 tff(4038,plain,
% 48.27/31.38 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB17) | v130(constB17, bitIndex0) | (~v127(constB17, bitIndex0)))),
% 48.27/31.38 inference(quant_inst,[status(thm)],[])).
% 48.27/31.38 tff(4039,plain,
% 48.27/31.38 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB17, bitIndex0)) | v26(constB17) | v130(constB17, bitIndex0)),
% 48.27/31.38 inference(modus_ponens,[status(thm)],[4038, 4037])).
% 48.27/31.38 tff(4040,plain,
% 48.27/31.38 ((~v127(constB17, bitIndex0)) | v130(constB17, bitIndex0)),
% 48.27/31.38 inference(unit_resolution,[status(thm)],[4039, 524, 2530])).
% 48.27/31.38 tff(4041,plain,
% 48.27/31.38 (~v127(constB17, bitIndex0)),
% 48.27/31.38 inference(unit_resolution,[status(thm)],[4040, 4033])).
% 48.27/31.38 tff(4042,plain,
% 48.27/31.38 (((~![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)))),
% 48.27/31.38 inference(rewrite,[status(thm)],[])).
% 48.27/31.38 tff(4043,plain,
% 48.27/31.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB17, constB18)) | v127(constB17, bitIndex0) | (~v129(constB18, bitIndex0)))),
% 48.27/31.38 inference(quant_inst,[status(thm)],[])).
% 48.27/31.38 tff(4044,plain,
% 48.27/31.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB17, constB18)) | v127(constB17, bitIndex0) | (~v129(constB18, bitIndex0))),
% 48.27/31.38 inference(modus_ponens,[status(thm)],[4043, 4042])).
% 48.27/31.38 tff(4045,plain,
% 48.27/31.38 (v127(constB17, bitIndex0) | (~v129(constB18, bitIndex0))),
% 48.27/31.38 inference(unit_resolution,[status(thm)],[4044, 542, 2505])).
% 48.27/31.38 tff(4046,plain,
% 48.27/31.38 (~v129(constB18, bitIndex0)),
% 48.27/31.38 inference(unit_resolution,[status(thm)],[4045, 4041])).
% 48.27/31.38 tff(4047,plain,
% 48.27/31.38 (((~![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)))),
% 48.27/31.38 inference(rewrite,[status(thm)],[])).
% 48.27/31.38 tff(4048,plain,
% 48.27/31.38 (((~v90(constB18, bitIndex0)) | (~v100(constB18)) | v129(constB18, bitIndex0)) <=> ((~v90(constB18, bitIndex0)) | v129(constB18, bitIndex0) | (~v100(constB18)))),
% 48.27/31.38 inference(rewrite,[status(thm)],[])).
% 48.27/31.38 tff(4049,plain,
% 48.27/31.38 (((~![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))))),
% 48.27/31.38 inference(monotonicity,[status(thm)],[4048])).
% 48.27/31.38 tff(4050,plain,
% 48.27/31.38 (((~![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)))),
% 48.27/31.38 inference(transitivity,[status(thm)],[4049, 4047])).
% 48.27/31.38 tff(4051,plain,
% 48.27/31.38 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB18, bitIndex0)) | (~v100(constB18)) | v129(constB18, bitIndex0))),
% 48.27/31.38 inference(quant_inst,[status(thm)],[])).
% 48.27/31.38 tff(4052,plain,
% 48.27/31.38 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB18, bitIndex0)) | v129(constB18, bitIndex0) | (~v100(constB18))),
% 48.27/31.38 inference(modus_ponens,[status(thm)],[4051, 4050])).
% 48.27/31.38 tff(4053,plain,
% 48.27/31.38 ((~v90(constB18, bitIndex0)) | v129(constB18, bitIndex0)),
% 48.27/31.38 inference(unit_resolution,[status(thm)],[4052, 557, 4000])).
% 48.27/31.38 tff(4054,plain,
% 48.27/31.38 (~v90(constB18, bitIndex0)),
% 48.27/31.38 inference(unit_resolution,[status(thm)],[4053, 4046])).
% 48.27/31.38 tff(4055,plain,
% 48.27/31.38 ((~v1(constB19)) <=> (~v1(constB19))),
% 48.27/31.38 inference(rewrite,[status(thm)],[])).
% 48.27/31.38 tff(4056,axiom,(~v1(constB19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_19_1_1')).
% 48.27/31.38 tff(4057,plain,
% 48.27/31.38 (~v1(constB19)),
% 48.27/31.38 inference(modus_ponens,[status(thm)],[4056, 4055])).
% 48.27/31.38 tff(4058,plain,
% 48.27/31.38 (nextState(constB18, constB19) <=> nextState(constB18, constB19)),
% 48.27/31.38 inference(rewrite,[status(thm)],[])).
% 48.27/31.38 tff(4059,axiom,(nextState(constB18, constB19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_18_1')).
% 48.27/31.38 tff(4060,plain,
% 48.27/31.38 (nextState(constB18, constB19)),
% 48.27/31.38 inference(modus_ponens,[status(thm)],[4059, 4058])).
% 48.27/31.38 tff(4061,plain,
% 48.27/31.38 (((~![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)))),
% 48.27/31.38 inference(rewrite,[status(thm)],[])).
% 48.27/31.38 tff(4062,plain,
% 48.27/31.38 (((~nextState(constB18, constB19)) | (~v101(constB19)) | v1(constB19)) <=> (v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19)))),
% 48.27/31.38 inference(rewrite,[status(thm)],[])).
% 48.27/31.38 tff(4063,plain,
% 48.27/31.38 (((~![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))))),
% 48.27/31.38 inference(monotonicity,[status(thm)],[4062])).
% 48.27/31.38 tff(4064,plain,
% 48.27/31.38 (((~![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)))),
% 48.27/31.38 inference(transitivity,[status(thm)],[4063, 4061])).
% 48.27/31.38 tff(4065,plain,
% 48.27/31.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB18, constB19)) | (~v101(constB19)) | v1(constB19))),
% 48.27/31.38 inference(quant_inst,[status(thm)],[])).
% 48.27/31.38 tff(4066,plain,
% 48.27/31.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19))),
% 48.27/31.38 inference(modus_ponens,[status(thm)],[4065, 4064])).
% 48.27/31.38 tff(4067,plain,
% 48.27/31.38 (~v101(constB19)),
% 48.27/31.38 inference(unit_resolution,[status(thm)],[4066, 49, 4060, 4057])).
% 48.27/31.38 tff(4068,plain,
% 48.27/31.38 (((~![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)))),
% 48.27/31.38 inference(rewrite,[status(thm)],[])).
% 48.27/31.38 tff(4069,plain,
% 48.27/31.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB18, constB19)) | v101(constB19) | (~v100(constB19)))),
% 48.27/31.38 inference(quant_inst,[status(thm)],[])).
% 48.27/31.38 tff(4070,plain,
% 48.27/31.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB18, constB19)) | v101(constB19) | (~v100(constB19))),
% 48.27/31.38 inference(modus_ponens,[status(thm)],[4069, 4068])).
% 48.27/31.38 tff(4071,plain,
% 48.27/31.38 (v101(constB19) | (~v100(constB19))),
% 48.27/31.38 inference(unit_resolution,[status(thm)],[4070, 66, 4060])).
% 48.27/31.38 tff(4072,plain,
% 48.27/31.38 (~v100(constB19)),
% 48.27/31.38 inference(unit_resolution,[status(thm)],[4071, 4067])).
% 48.27/31.38 tff(4073,plain,
% 48.27/31.38 (((~![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)))),
% 48.27/31.38 inference(rewrite,[status(thm)],[])).
% 48.27/31.38 tff(4074,plain,
% 48.27/31.38 (((~nextState(constB18, constB19)) | v90(constB18, bitIndex0) | v100(constB19) | (~v90(constB19, bitIndex0))) <=> (v90(constB18, bitIndex0) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex0)))),
% 48.27/31.38 inference(rewrite,[status(thm)],[])).
% 48.27/31.38 tff(4075,plain,
% 48.27/31.38 (((~![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))))),
% 48.27/31.38 inference(monotonicity,[status(thm)],[4074])).
% 48.27/31.38 tff(4076,plain,
% 48.27/31.38 (((~![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)))),
% 48.27/31.38 inference(transitivity,[status(thm)],[4075, 4073])).
% 48.27/31.38 tff(4077,plain,
% 48.27/31.38 ((~![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)))),
% 48.27/31.38 inference(quant_inst,[status(thm)],[])).
% 48.27/31.38 tff(4078,plain,
% 48.27/31.38 ((~![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))),
% 48.27/31.38 inference(modus_ponens,[status(thm)],[4077, 4076])).
% 48.27/31.38 tff(4079,plain,
% 48.27/31.38 (v90(constB18, bitIndex0) | v100(constB19) | (~v90(constB19, bitIndex0))),
% 48.27/31.38 inference(unit_resolution,[status(thm)],[4078, 123, 4060])).
% 48.27/31.38 tff(4080,plain,
% 48.27/31.38 (v90(constB18, bitIndex0) | (~v90(constB19, bitIndex0))),
% 48.27/31.38 inference(unit_resolution,[status(thm)],[4079, 4072])).
% 48.27/31.38 tff(4081,plain,
% 48.27/31.38 (~v90(constB19, bitIndex0)),
% 48.27/31.38 inference(unit_resolution,[status(thm)],[4080, 4054])).
% 48.27/31.38 tff(4082,plain,
% 48.27/31.38 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB17)) | v130(constB17, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB17)) | v130(constB17, bitIndex1))),
% 48.27/31.38 inference(rewrite,[status(thm)],[])).
% 48.27/31.38 tff(4083,plain,
% 48.27/31.38 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB17)) | v130(constB17, bitIndex1))),
% 48.27/31.38 inference(quant_inst,[status(thm)],[])).
% 48.27/31.38 tff(4084,plain,
% 48.27/31.38 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB17)) | v130(constB17, bitIndex1)),
% 48.27/31.38 inference(modus_ponens,[status(thm)],[4083, 4082])).
% 48.27/31.38 tff(4085,plain,
% 48.27/31.38 (v130(constB17, bitIndex1)),
% 48.27/31.38 inference(unit_resolution,[status(thm)],[4084, 1450, 4029])).
% 48.27/31.38 tff(4086,plain,
% 48.27/31.38 (((~![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))),
% 48.27/31.38 inference(rewrite,[status(thm)],[])).
% 48.27/31.38 tff(4087,plain,
% 48.27/31.38 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB17) | (~v130(constB17, bitIndex1)) | v127(constB17, bitIndex1))),
% 48.27/31.38 inference(quant_inst,[status(thm)],[])).
% 48.27/31.38 tff(4088,plain,
% 48.27/31.38 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB17) | (~v130(constB17, bitIndex1)) | v127(constB17, bitIndex1)),
% 48.27/31.38 inference(modus_ponens,[status(thm)],[4087, 4086])).
% 48.27/31.38 tff(4089,plain,
% 48.27/31.38 ((~v130(constB17, bitIndex1)) | v127(constB17, bitIndex1)),
% 48.27/31.38 inference(unit_resolution,[status(thm)],[4088, 681, 2530])).
% 48.27/31.38 tff(4090,plain,
% 48.27/31.38 (v127(constB17, bitIndex1)),
% 48.27/31.38 inference(unit_resolution,[status(thm)],[4089, 4085])).
% 48.27/31.38 tff(4091,plain,
% 48.27/31.38 (((~![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))),
% 48.27/31.38 inference(rewrite,[status(thm)],[])).
% 48.27/31.38 tff(4092,plain,
% 48.27/31.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB17, constB18)) | (~v127(constB17, bitIndex1)) | v129(constB18, bitIndex1))),
% 48.27/31.38 inference(quant_inst,[status(thm)],[])).
% 48.27/31.38 tff(4093,plain,
% 48.27/31.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB17, constB18)) | (~v127(constB17, bitIndex1)) | v129(constB18, bitIndex1)),
% 48.27/31.38 inference(modus_ponens,[status(thm)],[4092, 4091])).
% 48.27/31.38 tff(4094,plain,
% 48.27/31.38 ((~v127(constB17, bitIndex1)) | v129(constB18, bitIndex1)),
% 48.27/31.38 inference(unit_resolution,[status(thm)],[4093, 696, 2505])).
% 48.27/31.38 tff(4095,plain,
% 48.27/31.38 (v129(constB18, bitIndex1)),
% 48.27/31.38 inference(unit_resolution,[status(thm)],[4094, 4090])).
% 48.27/31.38 tff(4096,plain,
% 48.27/31.38 (((~![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)))),
% 48.27/31.38 inference(rewrite,[status(thm)],[])).
% 48.27/31.38 tff(4097,plain,
% 48.27/31.38 ((v90(constB18, bitIndex1) | (~v100(constB18)) | (~v129(constB18, bitIndex1))) <=> (v90(constB18, bitIndex1) | (~v129(constB18, bitIndex1)) | (~v100(constB18)))),
% 48.27/31.39 inference(rewrite,[status(thm)],[])).
% 48.27/31.39 tff(4098,plain,
% 48.27/31.39 (((~![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))))),
% 48.27/31.39 inference(monotonicity,[status(thm)],[4097])).
% 48.27/31.39 tff(4099,plain,
% 48.27/31.39 (((~![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)))),
% 48.27/31.39 inference(transitivity,[status(thm)],[4098, 4096])).
% 48.27/31.39 tff(4100,plain,
% 48.27/31.39 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB18, bitIndex1) | (~v100(constB18)) | (~v129(constB18, bitIndex1)))),
% 48.27/31.39 inference(quant_inst,[status(thm)],[])).
% 48.27/31.39 tff(4101,plain,
% 48.27/31.39 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB18, bitIndex1) | (~v129(constB18, bitIndex1)) | (~v100(constB18))),
% 48.27/31.39 inference(modus_ponens,[status(thm)],[4100, 4099])).
% 48.27/31.39 tff(4102,plain,
% 48.27/31.39 (v90(constB18, bitIndex1) | (~v129(constB18, bitIndex1))),
% 48.27/31.39 inference(unit_resolution,[status(thm)],[4101, 711, 4000])).
% 48.27/31.39 tff(4103,plain,
% 48.27/31.39 (v90(constB18, bitIndex1)),
% 48.27/31.39 inference(unit_resolution,[status(thm)],[4102, 4095])).
% 48.27/31.39 tff(4104,plain,
% 48.27/31.39 (((~![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))),
% 48.27/31.39 inference(rewrite,[status(thm)],[])).
% 48.27/31.39 tff(4105,plain,
% 48.27/31.39 (((~nextState(constB18, constB19)) | (~v90(constB18, bitIndex1)) | v100(constB19) | v90(constB19, bitIndex1)) <=> ((~v90(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, bitIndex1))),
% 48.27/31.39 inference(rewrite,[status(thm)],[])).
% 48.27/31.39 tff(4106,plain,
% 48.27/31.39 (((~![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)))),
% 48.27/31.39 inference(monotonicity,[status(thm)],[4105])).
% 48.27/31.39 tff(4107,plain,
% 48.27/31.39 (((~![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))),
% 48.27/31.39 inference(transitivity,[status(thm)],[4106, 4104])).
% 48.27/31.39 tff(4108,plain,
% 48.27/31.39 ((~![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))),
% 48.27/31.39 inference(quant_inst,[status(thm)],[])).
% 48.27/31.39 tff(4109,plain,
% 48.27/31.39 ((~![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)),
% 48.27/31.39 inference(modus_ponens,[status(thm)],[4108, 4107])).
% 48.27/31.39 tff(4110,plain,
% 48.27/31.39 ((~v90(constB18, bitIndex1)) | v100(constB19) | v90(constB19, bitIndex1)),
% 48.27/31.39 inference(unit_resolution,[status(thm)],[4109, 747, 4060])).
% 48.27/31.39 tff(4111,plain,
% 48.27/31.39 ((~v90(constB18, bitIndex1)) | v90(constB19, bitIndex1)),
% 48.27/31.39 inference(unit_resolution,[status(thm)],[4110, 4072])).
% 48.27/31.39 tff(4112,plain,
% 48.27/31.39 (v90(constB19, bitIndex1)),
% 48.27/31.39 inference(unit_resolution,[status(thm)],[4111, 4103])).
% 48.27/31.39 tff(4113,plain,
% 48.27/31.39 (((~![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)))),
% 48.27/31.39 inference(rewrite,[status(thm)],[])).
% 48.27/31.39 tff(4114,plain,
% 48.27/31.39 (((~nextState(constB18, constB19)) | v90(constB18, bitIndex2) | v100(constB19) | (~v90(constB19, bitIndex2))) <=> (v90(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, bitIndex2)))),
% 48.27/31.39 inference(rewrite,[status(thm)],[])).
% 48.27/31.39 tff(4115,plain,
% 48.27/31.39 (((~![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))))),
% 48.27/31.39 inference(monotonicity,[status(thm)],[4114])).
% 48.27/31.39 tff(4116,plain,
% 48.27/31.39 (((~![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)))),
% 48.27/31.39 inference(transitivity,[status(thm)],[4115, 4113])).
% 48.27/31.39 tff(4117,plain,
% 48.27/31.39 ((~![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)))),
% 48.27/31.39 inference(quant_inst,[status(thm)],[])).
% 48.27/31.39 tff(4118,plain,
% 48.27/31.39 ((~![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))),
% 48.27/31.39 inference(modus_ponens,[status(thm)],[4117, 4116])).
% 48.27/31.39 tff(4119,plain,
% 48.27/31.39 (v90(constB18, bitIndex2) | v100(constB19) | (~v90(constB19, bitIndex2))),
% 48.27/31.39 inference(unit_resolution,[status(thm)],[4118, 81, 4060])).
% 48.27/31.39 tff(4120,plain,
% 48.27/31.39 (v90(constB18, bitIndex2) | (~v90(constB19, bitIndex2))),
% 48.27/31.39 inference(unit_resolution,[status(thm)],[4119, 4072])).
% 48.27/31.39 tff(4121,plain,
% 48.27/31.39 (~v90(constB19, bitIndex2)),
% 48.27/31.39 inference(unit_resolution,[status(thm)],[4120, 2544])).
% 48.27/31.39 tff(4122,plain,
% 48.27/31.39 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB19, bitIndex0) | (~v90(constB19, bitIndex1)) | v90(constB19, bitIndex2) | v121(constB19))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB19, bitIndex0) | (~v90(constB19, bitIndex1)) | v90(constB19, bitIndex2) | v121(constB19))),
% 48.27/31.39 inference(rewrite,[status(thm)],[])).
% 48.27/31.39 tff(4123,plain,
% 48.27/31.39 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB19, bitIndex0) | (~v90(constB19, bitIndex1)) | v90(constB19, bitIndex2) | v121(constB19))),
% 48.27/31.39 inference(quant_inst,[status(thm)],[])).
% 48.27/31.39 tff(4124,plain,
% 48.27/31.39 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB19, bitIndex0) | (~v90(constB19, bitIndex1)) | v90(constB19, bitIndex2) | v121(constB19)),
% 48.27/31.39 inference(modus_ponens,[status(thm)],[4123, 4122])).
% 48.27/31.39 tff(4125,plain,
% 48.27/31.39 (v90(constB19, bitIndex0) | (~v90(constB19, bitIndex1)) | v121(constB19)),
% 48.27/31.39 inference(unit_resolution,[status(thm)],[4124, 1551, 4121])).
% 48.27/31.39 tff(4126,plain,
% 48.27/31.39 (v121(constB19)),
% 48.27/31.39 inference(unit_resolution,[status(thm)],[4125, 4112, 4081])).
% 48.27/31.39 tff(4127,plain,
% 48.27/31.39 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB19) | (~v121(constB19)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB19) | (~v121(constB19)))),
% 48.27/31.39 inference(rewrite,[status(thm)],[])).
% 48.27/31.39 tff(4128,plain,
% 48.27/31.39 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB19) | (~v121(constB19)))),
% 48.27/31.39 inference(quant_inst,[status(thm)],[])).
% 48.27/31.39 tff(4129,plain,
% 48.27/31.39 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB19) | (~v121(constB19))),
% 48.27/31.39 inference(modus_ponens,[status(thm)],[4128, 4127])).
% 48.27/31.39 tff(4130,plain,
% 48.27/31.39 (v117(constB19)),
% 48.27/31.39 inference(unit_resolution,[status(thm)],[4129, 1562, 4126])).
% 48.27/31.39 tff(4131,plain,
% 48.27/31.39 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB19) | (~v117(constB19)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB19) | (~v117(constB19)))),
% 48.27/31.39 inference(rewrite,[status(thm)],[])).
% 48.27/31.39 tff(4132,plain,
% 48.27/31.39 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB19) | (~v117(constB19)))),
% 48.27/31.39 inference(quant_inst,[status(thm)],[])).
% 48.27/31.39 tff(4133,plain,
% 48.27/31.39 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB19) | (~v117(constB19))),
% 48.27/31.39 inference(modus_ponens,[status(thm)],[4132, 4131])).
% 48.27/31.39 tff(4134,plain,
% 48.27/31.39 (v116(constB19)),
% 48.27/31.39 inference(unit_resolution,[status(thm)],[4133, 177, 4130])).
% 48.27/31.39 tff(4135,plain,
% 48.27/31.39 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB19) | (~v116(constB19)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB19) | (~v116(constB19)))),
% 48.27/31.39 inference(rewrite,[status(thm)],[])).
% 48.27/31.39 tff(4136,plain,
% 48.27/31.39 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB19) | (~v116(constB19)))),
% 48.27/31.39 inference(quant_inst,[status(thm)],[])).
% 48.27/31.39 tff(4137,plain,
% 48.27/31.39 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB19) | (~v116(constB19))),
% 48.27/31.39 inference(modus_ponens,[status(thm)],[4136, 4135])).
% 48.27/31.39 tff(4138,plain,
% 48.27/31.39 (v115(constB19)),
% 48.27/31.39 inference(unit_resolution,[status(thm)],[4137, 188, 4134])).
% 48.27/31.39 tff(4139,plain,
% 48.27/31.39 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB19) | (~v115(constB19)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB19) | (~v115(constB19)))),
% 48.27/31.39 inference(rewrite,[status(thm)],[])).
% 48.27/31.39 tff(4140,plain,
% 48.27/31.39 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB19) | (~v115(constB19)))),
% 48.27/31.39 inference(quant_inst,[status(thm)],[])).
% 48.27/31.39 tff(4141,plain,
% 48.27/31.39 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB19) | (~v115(constB19))),
% 48.27/31.39 inference(modus_ponens,[status(thm)],[4140, 4139])).
% 48.27/31.39 tff(4142,plain,
% 48.27/31.39 (v114(constB19)),
% 48.27/31.39 inference(unit_resolution,[status(thm)],[4141, 199, 4138])).
% 48.27/31.39 tff(4143,plain,
% 48.27/31.39 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB19) | (~v114(constB19)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB19) | (~v114(constB19)))),
% 48.27/31.39 inference(rewrite,[status(thm)],[])).
% 48.27/31.39 tff(4144,plain,
% 48.27/31.39 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB19) | (~v114(constB19)))),
% 48.27/31.39 inference(quant_inst,[status(thm)],[])).
% 48.27/31.39 tff(4145,plain,
% 48.27/31.39 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB19) | (~v114(constB19))),
% 48.27/31.39 inference(modus_ponens,[status(thm)],[4144, 4143])).
% 48.27/31.39 tff(4146,plain,
% 48.27/31.39 (v113(constB19)),
% 48.27/31.39 inference(unit_resolution,[status(thm)],[4145, 210, 4142])).
% 48.27/31.39 tff(4147,assumption,(v26(constB19)), introduced(assumption)).
% 48.27/31.39 tff(4148,plain,
% 48.27/31.39 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB19))),
% 48.27/31.39 inference(quant_inst,[status(thm)],[])).
% 48.27/31.39 tff(4149,plain,
% 48.27/31.39 ($false),
% 48.27/31.39 inference(unit_resolution,[status(thm)],[4148, 16, 4147])).
% 48.27/31.39 tff(4150,plain,(~v26(constB19)), inference(lemma,lemma(discharge,[]))).
% 48.27/31.39 tff(4151,plain,
% 48.27/31.39 (((~![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))),
% 48.27/31.39 inference(rewrite,[status(thm)],[])).
% 48.27/31.39 tff(4152,plain,
% 48.27/31.39 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB19) | (~v113(constB19)) | v112(constB19))),
% 48.27/31.39 inference(quant_inst,[status(thm)],[])).
% 48.27/31.39 tff(4153,plain,
% 48.27/31.39 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB19) | (~v113(constB19)) | v112(constB19)),
% 48.27/31.39 inference(modus_ponens,[status(thm)],[4152, 4151])).
% 48.27/31.39 tff(4154,plain,
% 48.27/31.39 ((~v113(constB19)) | v112(constB19)),
% 48.27/31.39 inference(unit_resolution,[status(thm)],[4153, 224, 4150])).
% 48.27/31.39 tff(4155,plain,
% 48.27/31.39 (v112(constB19)),
% 48.27/31.39 inference(unit_resolution,[status(thm)],[4154, 4146])).
% 48.27/31.39 tff(4156,plain,
% 48.27/31.39 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB19) | (~v112(constB19)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB19) | (~v112(constB19)))),
% 48.27/31.39 inference(rewrite,[status(thm)],[])).
% 48.27/31.39 tff(4157,plain,
% 48.27/31.39 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB19) | (~v112(constB19)))),
% 48.27/31.39 inference(quant_inst,[status(thm)],[])).
% 48.27/31.39 tff(4158,plain,
% 48.27/31.39 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB19) | (~v112(constB19))),
% 48.27/31.39 inference(modus_ponens,[status(thm)],[4157, 4156])).
% 48.27/31.39 tff(4159,plain,
% 48.27/31.39 (v108(constB19)),
% 48.27/31.39 inference(unit_resolution,[status(thm)],[4158, 236, 4155])).
% 48.27/31.39 tff(4160,plain,
% 48.27/31.39 (nextState(constB19, constB20) <=> nextState(constB19, constB20)),
% 48.27/31.39 inference(rewrite,[status(thm)],[])).
% 48.27/31.39 tff(4161,axiom,(nextState(constB19, constB20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_19_1')).
% 48.27/31.39 tff(4162,plain,
% 48.27/31.39 (nextState(constB19, constB20)),
% 48.27/31.39 inference(modus_ponens,[status(thm)],[4161, 4160])).
% 48.27/31.39 tff(4163,plain,
% 48.27/31.39 (((~![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)))),
% 48.27/31.39 inference(rewrite,[status(thm)],[])).
% 48.27/31.39 tff(4164,plain,
% 48.27/31.39 (((~nextState(constB19, constB20)) | (~v108(constB19)) | v110(constB20)) <=> ((~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19)))),
% 48.27/31.39 inference(rewrite,[status(thm)],[])).
% 48.27/31.39 tff(4165,plain,
% 48.27/31.39 (((~![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))))),
% 48.27/31.39 inference(monotonicity,[status(thm)],[4164])).
% 48.27/31.39 tff(4166,plain,
% 48.27/31.39 (((~![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)))),
% 48.27/31.39 inference(transitivity,[status(thm)],[4165, 4163])).
% 48.27/31.39 tff(4167,plain,
% 48.27/31.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB19, constB20)) | (~v108(constB19)) | v110(constB20))),
% 48.27/31.39 inference(quant_inst,[status(thm)],[])).
% 48.27/31.39 tff(4168,plain,
% 48.27/31.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19))),
% 48.27/31.39 inference(modus_ponens,[status(thm)],[4167, 4166])).
% 48.27/31.39 tff(4169,plain,
% 48.27/31.39 (v110(constB20) | (~v108(constB19))),
% 48.27/31.39 inference(unit_resolution,[status(thm)],[4168, 253, 4162])).
% 48.27/31.39 tff(4170,plain,
% 48.27/31.39 (v110(constB20)),
% 48.27/31.39 inference(unit_resolution,[status(thm)],[4169, 4159])).
% 48.27/31.39 tff(4171,plain,
% 48.27/31.39 (((~![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)))),
% 48.27/31.39 inference(rewrite,[status(thm)],[])).
% 48.27/31.39 tff(4172,plain,
% 48.27/31.39 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB19) | (~nextState(constB19, constB20)) | (~v104(constB20)))),
% 48.27/31.39 inference(quant_inst,[status(thm)],[])).
% 48.27/31.39 tff(4173,plain,
% 48.27/31.39 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB19) | (~nextState(constB19, constB20)) | (~v104(constB20))),
% 48.27/31.39 inference(modus_ponens,[status(thm)],[4172, 4171])).
% 48.27/31.39 tff(4174,plain,
% 48.27/31.39 (~v104(constB20)),
% 48.27/31.39 inference(unit_resolution,[status(thm)],[4173, 271, 4162, 4057])).
% 48.27/31.39 tff(4175,plain,
% 48.27/31.39 (((~![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))),
% 48.27/31.39 inference(rewrite,[status(thm)],[])).
% 48.27/31.39 tff(4176,plain,
% 48.27/31.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB19, constB20)) | v102(constB20) | v104(constB20))),
% 48.27/31.39 inference(quant_inst,[status(thm)],[])).
% 48.27/31.39 tff(4177,plain,
% 48.27/31.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB19, constB20)) | v102(constB20) | v104(constB20)),
% 48.27/31.39 inference(modus_ponens,[status(thm)],[4176, 4175])).
% 48.27/31.39 tff(4178,plain,
% 48.27/31.39 (v102(constB20) | v104(constB20)),
% 48.27/31.39 inference(unit_resolution,[status(thm)],[4177, 285, 4162])).
% 48.27/31.39 tff(4179,plain,
% 48.27/31.39 (v102(constB20)),
% 48.27/31.39 inference(unit_resolution,[status(thm)],[4178, 4174])).
% 48.27/31.39 tff(4180,plain,
% 48.27/31.39 (v1(constB20) <=> v1(constB20)),
% 48.27/31.39 inference(rewrite,[status(thm)],[])).
% 48.27/31.39 tff(4181,axiom,(v1(constB20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_20_1')).
% 48.27/31.39 tff(4182,plain,
% 48.27/31.39 (v1(constB20)),
% 48.27/31.39 inference(modus_ponens,[status(thm)],[4181, 4180])).
% 48.27/31.39 tff(4183,plain,
% 48.27/31.39 (((~![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)))),
% 48.27/31.39 inference(rewrite,[status(thm)],[])).
% 48.27/31.39 tff(4184,plain,
% 48.27/31.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB19, constB20)) | v101(constB20) | (~v102(constB20)) | (~v1(constB20)))),
% 48.27/31.39 inference(quant_inst,[status(thm)],[])).
% 48.27/31.39 tff(4185,plain,
% 48.27/31.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB19, constB20)) | v101(constB20) | (~v102(constB20)) | (~v1(constB20))),
% 48.27/31.39 inference(modus_ponens,[status(thm)],[4184, 4183])).
% 48.27/31.39 tff(4186,plain,
% 48.27/31.39 (v101(constB20) | (~v102(constB20))),
% 48.27/31.39 inference(unit_resolution,[status(thm)],[4185, 303, 4162, 4182])).
% 48.27/31.39 tff(4187,plain,
% 48.27/31.39 (v101(constB20)),
% 48.27/31.39 inference(unit_resolution,[status(thm)],[4186, 4179])).
% 48.27/31.39 tff(4188,plain,
% 48.27/31.39 (((~![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)))),
% 48.27/31.39 inference(rewrite,[status(thm)],[])).
% 48.27/31.39 tff(4189,plain,
% 48.27/31.39 (((~nextState(constB19, constB20)) | (~v101(constB20)) | (~v110(constB20)) | v100(constB20)) <=> ((~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20)))),
% 48.27/31.39 inference(rewrite,[status(thm)],[])).
% 48.27/31.39 tff(4190,plain,
% 48.27/31.39 (((~![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))))),
% 48.27/31.39 inference(monotonicity,[status(thm)],[4189])).
% 48.27/31.39 tff(4191,plain,
% 48.27/31.39 (((~![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)))),
% 48.27/31.39 inference(transitivity,[status(thm)],[4190, 4188])).
% 48.27/31.39 tff(4192,plain,
% 48.27/31.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB19, constB20)) | (~v101(constB20)) | (~v110(constB20)) | v100(constB20))),
% 48.27/31.39 inference(quant_inst,[status(thm)],[])).
% 48.27/31.39 tff(4193,plain,
% 48.27/31.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20))),
% 48.27/31.39 inference(modus_ponens,[status(thm)],[4192, 4191])).
% 48.27/31.39 tff(4194,plain,
% 48.27/31.39 (v100(constB20) | (~v101(constB20)) | (~v110(constB20))),
% 48.27/31.39 inference(unit_resolution,[status(thm)],[4193, 318, 4162])).
% 48.27/31.39 tff(4195,plain,
% 48.27/31.39 (v100(constB20) | (~v110(constB20))),
% 48.27/31.39 inference(unit_resolution,[status(thm)],[4194, 4187])).
% 48.27/31.39 tff(4196,plain,
% 48.27/31.39 (v100(constB20)),
% 48.27/31.39 inference(unit_resolution,[status(thm)],[4195, 4170])).
% 48.27/31.39 tff(4197,plain,
% 48.27/31.39 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB19)) | (~v130(constB19, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB19)) | (~v130(constB19, bitIndex2)))),
% 48.27/31.39 inference(rewrite,[status(thm)],[])).
% 48.27/31.39 tff(4198,plain,
% 48.27/31.39 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB19)) | (~v130(constB19, bitIndex2)))),
% 48.27/31.39 inference(quant_inst,[status(thm)],[])).
% 48.27/31.39 tff(4199,plain,
% 48.27/31.39 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB19)) | (~v130(constB19, bitIndex2))),
% 48.27/31.39 inference(modus_ponens,[status(thm)],[4198, 4197])).
% 48.27/31.39 tff(4200,plain,
% 48.27/31.39 (~v130(constB19, bitIndex2)),
% 48.27/31.39 inference(unit_resolution,[status(thm)],[4199, 1645, 4126])).
% 48.27/31.39 tff(4201,plain,
% 48.27/31.39 (((~![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))),
% 48.27/31.39 inference(rewrite,[status(thm)],[])).
% 48.27/31.39 tff(4202,plain,
% 48.27/31.39 ((v26(constB19) | v130(constB19, bitIndex2) | (~v127(constB19, bitIndex2))) <=> ((~v127(constB19, bitIndex2)) | v26(constB19) | v130(constB19, bitIndex2))),
% 48.27/31.39 inference(rewrite,[status(thm)],[])).
% 48.27/31.39 tff(4203,plain,
% 48.27/31.39 (((~![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)))),
% 48.27/31.39 inference(monotonicity,[status(thm)],[4202])).
% 48.27/31.39 tff(4204,plain,
% 48.27/31.39 (((~![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))),
% 48.27/31.39 inference(transitivity,[status(thm)],[4203, 4201])).
% 48.27/31.39 tff(4205,plain,
% 48.27/31.39 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB19) | v130(constB19, bitIndex2) | (~v127(constB19, bitIndex2)))),
% 48.27/31.39 inference(quant_inst,[status(thm)],[])).
% 48.27/31.39 tff(4206,plain,
% 48.27/31.39 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB19, bitIndex2)) | v26(constB19) | v130(constB19, bitIndex2)),
% 48.27/31.39 inference(modus_ponens,[status(thm)],[4205, 4204])).
% 48.27/31.39 tff(4207,plain,
% 48.27/31.39 ((~v127(constB19, bitIndex2)) | v130(constB19, bitIndex2)),
% 48.27/31.39 inference(unit_resolution,[status(thm)],[4206, 1210, 4150])).
% 48.27/31.39 tff(4208,plain,
% 48.27/31.39 (~v127(constB19, bitIndex2)),
% 48.27/31.39 inference(unit_resolution,[status(thm)],[4207, 4200])).
% 48.27/31.39 tff(4209,plain,
% 48.27/31.39 (((~![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)))),
% 48.27/31.39 inference(rewrite,[status(thm)],[])).
% 48.27/31.39 tff(4210,plain,
% 48.27/31.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB19, constB20)) | v127(constB19, bitIndex2) | (~v129(constB20, bitIndex2)))),
% 48.27/31.39 inference(quant_inst,[status(thm)],[])).
% 48.27/31.39 tff(4211,plain,
% 48.27/31.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB19, constB20)) | v127(constB19, bitIndex2) | (~v129(constB20, bitIndex2))),
% 48.27/31.39 inference(modus_ponens,[status(thm)],[4210, 4209])).
% 48.27/31.39 tff(4212,plain,
% 48.27/31.39 (v127(constB19, bitIndex2) | (~v129(constB20, bitIndex2))),
% 48.27/31.39 inference(unit_resolution,[status(thm)],[4211, 1243, 4162])).
% 48.27/31.39 tff(4213,plain,
% 48.27/31.39 (~v129(constB20, bitIndex2)),
% 48.27/31.39 inference(unit_resolution,[status(thm)],[4212, 4208])).
% 48.27/31.39 tff(4214,plain,
% 48.27/31.39 (((~![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)))),
% 48.27/31.39 inference(rewrite,[status(thm)],[])).
% 48.27/31.39 tff(4215,plain,
% 48.27/31.39 (((~v90(constB20, bitIndex2)) | (~v100(constB20)) | v129(constB20, bitIndex2)) <=> ((~v90(constB20, bitIndex2)) | v129(constB20, bitIndex2) | (~v100(constB20)))),
% 48.27/31.39 inference(rewrite,[status(thm)],[])).
% 48.27/31.39 tff(4216,plain,
% 48.27/31.39 (((~![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))))),
% 48.27/31.39 inference(monotonicity,[status(thm)],[4215])).
% 48.27/31.39 tff(4217,plain,
% 48.27/31.39 (((~![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)))),
% 48.27/31.39 inference(transitivity,[status(thm)],[4216, 4214])).
% 48.27/31.39 tff(4218,plain,
% 48.27/31.39 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB20, bitIndex2)) | (~v100(constB20)) | v129(constB20, bitIndex2))),
% 48.27/31.39 inference(quant_inst,[status(thm)],[])).
% 48.27/31.39 tff(4219,plain,
% 48.27/31.39 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB20, bitIndex2)) | v129(constB20, bitIndex2) | (~v100(constB20))),
% 48.27/31.39 inference(modus_ponens,[status(thm)],[4218, 4217])).
% 48.27/31.39 tff(4220,plain,
% 48.27/31.39 ((~v90(constB20, bitIndex2)) | (~v100(constB20))),
% 48.27/31.39 inference(unit_resolution,[status(thm)],[4219, 1258, 4213])).
% 48.27/31.39 tff(4221,plain,
% 48.27/31.39 (~v90(constB20, bitIndex2)),
% 48.27/31.39 inference(unit_resolution,[status(thm)],[4220, 4196])).
% 48.27/31.39 tff(4222,plain,
% 48.27/31.39 ((~v1(constB21)) <=> (~v1(constB21))),
% 48.27/31.39 inference(rewrite,[status(thm)],[])).
% 48.27/31.39 tff(4223,axiom,(~v1(constB21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_21_1_1')).
% 48.27/31.39 tff(4224,plain,
% 48.27/31.39 (~v1(constB21)),
% 48.27/31.39 inference(modus_ponens,[status(thm)],[4223, 4222])).
% 48.27/31.39 tff(4225,plain,
% 48.27/31.39 (nextState(constB20, constB21) <=> nextState(constB20, constB21)),
% 48.27/31.39 inference(rewrite,[status(thm)],[])).
% 48.27/31.39 tff(4226,axiom,(nextState(constB20, constB21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_20_1')).
% 48.27/31.39 tff(4227,plain,
% 48.27/31.39 (nextState(constB20, constB21)),
% 48.27/31.39 inference(modus_ponens,[status(thm)],[4226, 4225])).
% 48.27/31.39 tff(4228,plain,
% 48.27/31.39 (((~![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)))),
% 48.27/31.39 inference(rewrite,[status(thm)],[])).
% 48.27/31.39 tff(4229,plain,
% 48.27/31.39 (((~nextState(constB20, constB21)) | (~v101(constB21)) | v1(constB21)) <=> (v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21)))),
% 48.27/31.39 inference(rewrite,[status(thm)],[])).
% 48.27/31.39 tff(4230,plain,
% 48.27/31.39 (((~![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))))),
% 48.27/31.39 inference(monotonicity,[status(thm)],[4229])).
% 48.27/31.39 tff(4231,plain,
% 48.27/31.39 (((~![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)))),
% 48.27/31.39 inference(transitivity,[status(thm)],[4230, 4228])).
% 48.27/31.39 tff(4232,plain,
% 48.27/31.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB20, constB21)) | (~v101(constB21)) | v1(constB21))),
% 48.27/31.39 inference(quant_inst,[status(thm)],[])).
% 48.27/31.39 tff(4233,plain,
% 48.27/31.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21))),
% 48.27/31.40 inference(modus_ponens,[status(thm)],[4232, 4231])).
% 48.27/31.40 tff(4234,plain,
% 48.27/31.40 (~v101(constB21)),
% 48.27/31.40 inference(unit_resolution,[status(thm)],[4233, 49, 4227, 4224])).
% 48.27/31.40 tff(4235,plain,
% 48.27/31.40 (((~![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)))),
% 48.27/31.40 inference(rewrite,[status(thm)],[])).
% 48.27/31.40 tff(4236,plain,
% 48.27/31.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB20, constB21)) | v101(constB21) | (~v100(constB21)))),
% 48.27/31.40 inference(quant_inst,[status(thm)],[])).
% 48.27/31.40 tff(4237,plain,
% 48.27/31.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB20, constB21)) | v101(constB21) | (~v100(constB21))),
% 48.27/31.40 inference(modus_ponens,[status(thm)],[4236, 4235])).
% 48.27/31.40 tff(4238,plain,
% 48.27/31.40 (v101(constB21) | (~v100(constB21))),
% 48.27/31.40 inference(unit_resolution,[status(thm)],[4237, 66, 4227])).
% 48.27/31.40 tff(4239,plain,
% 48.27/31.40 (~v100(constB21)),
% 48.27/31.40 inference(unit_resolution,[status(thm)],[4238, 4234])).
% 48.27/31.40 tff(4240,plain,
% 48.27/31.40 (((~![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)))),
% 48.27/31.40 inference(rewrite,[status(thm)],[])).
% 48.27/31.40 tff(4241,plain,
% 48.27/31.40 (((~nextState(constB20, constB21)) | v90(constB20, bitIndex2) | v100(constB21) | (~v90(constB21, bitIndex2))) <=> (v90(constB20, bitIndex2) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, bitIndex2)))),
% 48.27/31.40 inference(rewrite,[status(thm)],[])).
% 48.27/31.40 tff(4242,plain,
% 48.27/31.40 (((~![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))))),
% 48.27/31.40 inference(monotonicity,[status(thm)],[4241])).
% 48.27/31.40 tff(4243,plain,
% 48.27/31.40 (((~![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)))),
% 48.27/31.40 inference(transitivity,[status(thm)],[4242, 4240])).
% 48.27/31.40 tff(4244,plain,
% 48.27/31.40 ((~![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)))),
% 48.27/31.40 inference(quant_inst,[status(thm)],[])).
% 48.27/31.40 tff(4245,plain,
% 48.27/31.40 ((~![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))),
% 48.27/31.40 inference(modus_ponens,[status(thm)],[4244, 4243])).
% 48.35/31.40 tff(4246,plain,
% 48.35/31.40 (v90(constB20, bitIndex2) | v100(constB21) | (~v90(constB21, bitIndex2))),
% 48.35/31.40 inference(unit_resolution,[status(thm)],[4245, 81, 4227])).
% 48.35/31.40 tff(4247,plain,
% 48.35/31.40 (v90(constB20, bitIndex2) | (~v90(constB21, bitIndex2))),
% 48.35/31.40 inference(unit_resolution,[status(thm)],[4246, 4239])).
% 48.35/31.40 tff(4248,plain,
% 48.35/31.40 (~v90(constB21, bitIndex2)),
% 48.35/31.40 inference(unit_resolution,[status(thm)],[4247, 4221])).
% 48.35/31.40 tff(4249,plain,
% 48.35/31.40 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB19)) | v130(constB19, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB19)) | v130(constB19, bitIndex1))),
% 48.35/31.40 inference(rewrite,[status(thm)],[])).
% 48.35/31.40 tff(4250,plain,
% 48.35/31.40 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB19)) | v130(constB19, bitIndex1))),
% 48.35/31.40 inference(quant_inst,[status(thm)],[])).
% 48.35/31.40 tff(4251,plain,
% 48.35/31.40 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB19)) | v130(constB19, bitIndex1)),
% 48.35/31.40 inference(modus_ponens,[status(thm)],[4250, 4249])).
% 48.35/31.40 tff(4252,plain,
% 48.35/31.40 (v130(constB19, bitIndex1)),
% 48.35/31.40 inference(unit_resolution,[status(thm)],[4251, 1707, 4126])).
% 48.35/31.40 tff(4253,plain,
% 48.35/31.40 (((~![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))) | v26(constB19) | (~v130(constB19, bitIndex1)) | v127(constB19, bitIndex1))),
% 48.35/31.40 inference(rewrite,[status(thm)],[])).
% 48.35/31.40 tff(4254,plain,
% 48.35/31.40 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB19) | (~v130(constB19, bitIndex1)) | v127(constB19, bitIndex1))),
% 48.35/31.40 inference(quant_inst,[status(thm)],[])).
% 48.35/31.40 tff(4255,plain,
% 48.35/31.40 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB19) | (~v130(constB19, bitIndex1)) | v127(constB19, bitIndex1)),
% 48.35/31.40 inference(modus_ponens,[status(thm)],[4254, 4253])).
% 48.35/31.40 tff(4256,plain,
% 48.35/31.40 ((~v130(constB19, bitIndex1)) | v127(constB19, bitIndex1)),
% 48.35/31.40 inference(unit_resolution,[status(thm)],[4255, 681, 4150])).
% 48.35/31.40 tff(4257,plain,
% 48.35/31.40 (v127(constB19, bitIndex1)),
% 48.35/31.40 inference(unit_resolution,[status(thm)],[4256, 4252])).
% 48.35/31.40 tff(4258,plain,
% 48.35/31.40 (((~![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))),
% 48.35/31.40 inference(rewrite,[status(thm)],[])).
% 48.35/31.40 tff(4259,plain,
% 48.35/31.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB19, constB20)) | (~v127(constB19, bitIndex1)) | v129(constB20, bitIndex1))),
% 48.35/31.40 inference(quant_inst,[status(thm)],[])).
% 48.35/31.40 tff(4260,plain,
% 48.35/31.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB19, constB20)) | (~v127(constB19, bitIndex1)) | v129(constB20, bitIndex1)),
% 48.35/31.40 inference(modus_ponens,[status(thm)],[4259, 4258])).
% 48.35/31.40 tff(4261,plain,
% 48.35/31.40 ((~v127(constB19, bitIndex1)) | v129(constB20, bitIndex1)),
% 48.35/31.40 inference(unit_resolution,[status(thm)],[4260, 696, 4162])).
% 48.35/31.40 tff(4262,plain,
% 48.35/31.40 (v129(constB20, bitIndex1)),
% 48.35/31.40 inference(unit_resolution,[status(thm)],[4261, 4257])).
% 48.35/31.40 tff(4263,plain,
% 48.35/31.40 (((~![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)))),
% 48.35/31.40 inference(rewrite,[status(thm)],[])).
% 48.35/31.40 tff(4264,plain,
% 48.35/31.40 ((v90(constB20, bitIndex1) | (~v100(constB20)) | (~v129(constB20, bitIndex1))) <=> (v90(constB20, bitIndex1) | (~v129(constB20, bitIndex1)) | (~v100(constB20)))),
% 48.35/31.40 inference(rewrite,[status(thm)],[])).
% 48.35/31.40 tff(4265,plain,
% 48.35/31.40 (((~![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))))),
% 48.35/31.40 inference(monotonicity,[status(thm)],[4264])).
% 48.35/31.40 tff(4266,plain,
% 48.35/31.40 (((~![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)))),
% 48.35/31.40 inference(transitivity,[status(thm)],[4265, 4263])).
% 48.35/31.40 tff(4267,plain,
% 48.35/31.40 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB20, bitIndex1) | (~v100(constB20)) | (~v129(constB20, bitIndex1)))),
% 48.35/31.40 inference(quant_inst,[status(thm)],[])).
% 48.35/31.40 tff(4268,plain,
% 48.35/31.40 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB20, bitIndex1) | (~v129(constB20, bitIndex1)) | (~v100(constB20))),
% 48.35/31.40 inference(modus_ponens,[status(thm)],[4267, 4266])).
% 48.35/31.40 tff(4269,plain,
% 48.35/31.40 (v90(constB20, bitIndex1) | (~v100(constB20))),
% 48.35/31.40 inference(unit_resolution,[status(thm)],[4268, 711, 4262])).
% 48.35/31.40 tff(4270,plain,
% 48.35/31.40 (v90(constB20, bitIndex1)),
% 48.35/31.40 inference(unit_resolution,[status(thm)],[4269, 4196])).
% 48.35/31.40 tff(4271,plain,
% 48.35/31.40 (((~![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))),
% 48.35/31.40 inference(rewrite,[status(thm)],[])).
% 48.35/31.40 tff(4272,plain,
% 48.35/31.40 (((~nextState(constB20, constB21)) | (~v90(constB20, bitIndex1)) | v100(constB21) | v90(constB21, bitIndex1)) <=> ((~v90(constB20, bitIndex1)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex1))),
% 48.35/31.40 inference(rewrite,[status(thm)],[])).
% 48.35/31.40 tff(4273,plain,
% 48.35/31.40 (((~![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)))),
% 48.35/31.40 inference(monotonicity,[status(thm)],[4272])).
% 48.35/31.40 tff(4274,plain,
% 48.35/31.40 (((~![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))),
% 48.35/31.40 inference(transitivity,[status(thm)],[4273, 4271])).
% 48.35/31.40 tff(4275,plain,
% 48.35/31.40 ((~![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))),
% 48.35/31.40 inference(quant_inst,[status(thm)],[])).
% 48.35/31.40 tff(4276,plain,
% 48.35/31.40 ((~![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)),
% 48.35/31.40 inference(modus_ponens,[status(thm)],[4275, 4274])).
% 48.35/31.40 tff(4277,plain,
% 48.35/31.40 ((~v90(constB20, bitIndex1)) | v100(constB21) | v90(constB21, bitIndex1)),
% 48.35/31.40 inference(unit_resolution,[status(thm)],[4276, 747, 4227])).
% 48.35/31.40 tff(4278,plain,
% 48.35/31.40 ((~v90(constB20, bitIndex1)) | v90(constB21, bitIndex1)),
% 48.35/31.40 inference(unit_resolution,[status(thm)],[4277, 4239])).
% 48.35/31.40 tff(4279,plain,
% 48.35/31.40 (v90(constB21, bitIndex1)),
% 48.35/31.40 inference(unit_resolution,[status(thm)],[4278, 4270])).
% 48.35/31.40 tff(4280,plain,
% 48.35/31.40 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB19)) | v130(constB19, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB19)) | v130(constB19, bitIndex0))),
% 48.35/31.40 inference(rewrite,[status(thm)],[])).
% 48.35/31.40 tff(4281,plain,
% 48.35/31.40 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB19)) | v130(constB19, bitIndex0))),
% 48.35/31.40 inference(quant_inst,[status(thm)],[])).
% 48.35/31.40 tff(4282,plain,
% 48.35/31.40 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB19)) | v130(constB19, bitIndex0)),
% 48.35/31.40 inference(modus_ponens,[status(thm)],[4281, 4280])).
% 48.35/31.40 tff(4283,plain,
% 48.35/31.40 (v130(constB19, bitIndex0)),
% 48.35/31.40 inference(unit_resolution,[status(thm)],[4282, 1748, 4126])).
% 48.35/31.40 tff(4284,plain,
% 48.35/31.40 (((~![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))) | v26(constB19) | (~v130(constB19, bitIndex0)) | v127(constB19, bitIndex0))),
% 48.35/31.40 inference(rewrite,[status(thm)],[])).
% 48.35/31.40 tff(4285,plain,
% 48.35/31.40 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB19) | (~v130(constB19, bitIndex0)) | v127(constB19, bitIndex0))),
% 48.35/31.40 inference(quant_inst,[status(thm)],[])).
% 48.35/31.40 tff(4286,plain,
% 48.35/31.40 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB19) | (~v130(constB19, bitIndex0)) | v127(constB19, bitIndex0)),
% 48.35/31.40 inference(modus_ponens,[status(thm)],[4285, 4284])).
% 48.35/31.40 tff(4287,plain,
% 48.35/31.40 ((~v130(constB19, bitIndex0)) | v127(constB19, bitIndex0)),
% 48.35/31.40 inference(unit_resolution,[status(thm)],[4286, 926, 4150])).
% 48.35/31.40 tff(4288,plain,
% 48.35/31.40 (v127(constB19, bitIndex0)),
% 48.35/31.40 inference(unit_resolution,[status(thm)],[4287, 4283])).
% 48.35/31.40 tff(4289,plain,
% 48.35/31.40 (((~![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))),
% 48.35/31.40 inference(rewrite,[status(thm)],[])).
% 48.35/31.40 tff(4290,plain,
% 48.35/31.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB19, constB20)) | (~v127(constB19, bitIndex0)) | v129(constB20, bitIndex0))),
% 48.35/31.40 inference(quant_inst,[status(thm)],[])).
% 48.35/31.40 tff(4291,plain,
% 48.35/31.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB19, constB20)) | (~v127(constB19, bitIndex0)) | v129(constB20, bitIndex0)),
% 48.35/31.40 inference(modus_ponens,[status(thm)],[4290, 4289])).
% 48.35/31.40 tff(4292,plain,
% 48.35/31.40 ((~v127(constB19, bitIndex0)) | v129(constB20, bitIndex0)),
% 48.35/31.40 inference(unit_resolution,[status(thm)],[4291, 944, 4162])).
% 48.35/31.40 tff(4293,plain,
% 48.35/31.40 (v129(constB20, bitIndex0)),
% 48.35/31.40 inference(unit_resolution,[status(thm)],[4292, 4288])).
% 48.35/31.40 tff(4294,plain,
% 48.35/31.40 (((~![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)))),
% 48.35/31.40 inference(rewrite,[status(thm)],[])).
% 48.35/31.40 tff(4295,plain,
% 48.35/31.40 ((v90(constB20, bitIndex0) | (~v100(constB20)) | (~v129(constB20, bitIndex0))) <=> (v90(constB20, bitIndex0) | (~v129(constB20, bitIndex0)) | (~v100(constB20)))),
% 48.35/31.40 inference(rewrite,[status(thm)],[])).
% 48.35/31.40 tff(4296,plain,
% 48.35/31.40 (((~![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))))),
% 48.35/31.40 inference(monotonicity,[status(thm)],[4295])).
% 48.35/31.40 tff(4297,plain,
% 48.35/31.40 (((~![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)))),
% 48.35/31.40 inference(transitivity,[status(thm)],[4296, 4294])).
% 48.35/31.40 tff(4298,plain,
% 48.35/31.40 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB20, bitIndex0) | (~v100(constB20)) | (~v129(constB20, bitIndex0)))),
% 48.35/31.40 inference(quant_inst,[status(thm)],[])).
% 48.35/31.40 tff(4299,plain,
% 48.35/31.40 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB20, bitIndex0) | (~v129(constB20, bitIndex0)) | (~v100(constB20))),
% 48.35/31.40 inference(modus_ponens,[status(thm)],[4298, 4297])).
% 48.35/31.40 tff(4300,plain,
% 48.35/31.40 (v90(constB20, bitIndex0) | (~v100(constB20))),
% 48.35/31.40 inference(unit_resolution,[status(thm)],[4299, 1088, 4293])).
% 48.35/31.40 tff(4301,plain,
% 48.35/31.40 (v90(constB20, bitIndex0)),
% 48.35/31.40 inference(unit_resolution,[status(thm)],[4300, 4196])).
% 48.35/31.40 tff(4302,plain,
% 48.35/31.40 (((~![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))),
% 48.35/31.40 inference(rewrite,[status(thm)],[])).
% 48.35/31.40 tff(4303,plain,
% 48.35/31.40 (((~nextState(constB20, constB21)) | (~v90(constB20, bitIndex0)) | v100(constB21) | v90(constB21, bitIndex0)) <=> ((~v90(constB20, bitIndex0)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, bitIndex0))),
% 48.35/31.40 inference(rewrite,[status(thm)],[])).
% 48.35/31.40 tff(4304,plain,
% 48.35/31.40 (((~![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)))),
% 48.35/31.40 inference(monotonicity,[status(thm)],[4303])).
% 48.35/31.40 tff(4305,plain,
% 48.35/31.40 (((~![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))),
% 48.35/31.40 inference(transitivity,[status(thm)],[4304, 4302])).
% 48.35/31.40 tff(4306,plain,
% 48.35/31.40 ((~![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))),
% 48.35/31.40 inference(quant_inst,[status(thm)],[])).
% 48.35/31.40 tff(4307,plain,
% 48.35/31.40 ((~![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)),
% 48.35/31.40 inference(modus_ponens,[status(thm)],[4306, 4305])).
% 48.35/31.40 tff(4308,plain,
% 48.35/31.40 ((~v90(constB20, bitIndex0)) | v100(constB21) | v90(constB21, bitIndex0)),
% 48.35/31.40 inference(unit_resolution,[status(thm)],[4307, 1124, 4227])).
% 48.35/31.40 tff(4309,plain,
% 48.35/31.40 ((~v90(constB20, bitIndex0)) | v90(constB21, bitIndex0)),
% 48.35/31.40 inference(unit_resolution,[status(thm)],[4308, 4239])).
% 48.35/31.40 tff(4310,plain,
% 48.35/31.40 (v90(constB21, bitIndex0)),
% 48.35/31.40 inference(unit_resolution,[status(thm)],[4309, 4301])).
% 48.35/31.40 tff(4311,plain,
% 48.35/31.40 (((~![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))),
% 48.35/31.40 inference(rewrite,[status(thm)],[])).
% 48.35/31.40 tff(4312,plain,
% 48.35/31.40 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB21, bitIndex0)) | (~v90(constB21, bitIndex1)) | v90(constB21, bitIndex2) | v122(constB21))),
% 48.35/31.40 inference(quant_inst,[status(thm)],[])).
% 48.35/31.40 tff(4313,plain,
% 48.35/31.40 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB21, bitIndex0)) | (~v90(constB21, bitIndex1)) | v90(constB21, bitIndex2) | v122(constB21)),
% 48.35/31.40 inference(modus_ponens,[status(thm)],[4312, 4311])).
% 48.35/31.40 tff(4314,plain,
% 48.35/31.40 (v122(constB21)),
% 48.35/31.40 inference(unit_resolution,[status(thm)],[4313, 1789, 4310, 4279, 4248])).
% 48.35/31.40 tff(4315,plain,
% 48.35/31.40 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB21) | (~v122(constB21)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB21) | (~v122(constB21)))),
% 48.35/31.40 inference(rewrite,[status(thm)],[])).
% 48.35/31.40 tff(4316,plain,
% 48.35/31.40 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB21) | (~v122(constB21)))),
% 48.35/31.40 inference(quant_inst,[status(thm)],[])).
% 48.35/31.40 tff(4317,plain,
% 48.35/31.40 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB21) | (~v122(constB21))),
% 48.35/31.40 inference(modus_ponens,[status(thm)],[4316, 4315])).
% 48.35/31.40 tff(4318,plain,
% 48.35/31.40 (v116(constB21)),
% 48.35/31.40 inference(unit_resolution,[status(thm)],[4317, 1800, 4314])).
% 48.35/31.40 tff(4319,plain,
% 48.35/31.40 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB21) | (~v116(constB21)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB21) | (~v116(constB21)))),
% 48.35/31.40 inference(rewrite,[status(thm)],[])).
% 48.35/31.40 tff(4320,plain,
% 48.35/31.40 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB21) | (~v116(constB21)))),
% 48.35/31.40 inference(quant_inst,[status(thm)],[])).
% 48.35/31.40 tff(4321,plain,
% 48.35/31.40 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB21) | (~v116(constB21))),
% 48.35/31.40 inference(modus_ponens,[status(thm)],[4320, 4319])).
% 48.35/31.40 tff(4322,plain,
% 48.35/31.40 (v115(constB21)),
% 48.35/31.40 inference(unit_resolution,[status(thm)],[4321, 188, 4318])).
% 48.35/31.40 tff(4323,plain,
% 48.35/31.40 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB21) | (~v115(constB21)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB21) | (~v115(constB21)))),
% 48.35/31.40 inference(rewrite,[status(thm)],[])).
% 48.35/31.40 tff(4324,plain,
% 48.35/31.40 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB21) | (~v115(constB21)))),
% 48.35/31.40 inference(quant_inst,[status(thm)],[])).
% 48.35/31.40 tff(4325,plain,
% 48.35/31.40 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB21) | (~v115(constB21))),
% 48.35/31.40 inference(modus_ponens,[status(thm)],[4324, 4323])).
% 48.35/31.40 tff(4326,plain,
% 48.35/31.40 (v114(constB21)),
% 48.35/31.40 inference(unit_resolution,[status(thm)],[4325, 199, 4322])).
% 48.35/31.40 tff(4327,plain,
% 48.35/31.40 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB21) | (~v114(constB21)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB21) | (~v114(constB21)))),
% 48.35/31.40 inference(rewrite,[status(thm)],[])).
% 48.35/31.40 tff(4328,plain,
% 48.35/31.40 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB21) | (~v114(constB21)))),
% 48.35/31.40 inference(quant_inst,[status(thm)],[])).
% 48.35/31.40 tff(4329,plain,
% 48.35/31.40 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB21) | (~v114(constB21))),
% 48.35/31.40 inference(modus_ponens,[status(thm)],[4328, 4327])).
% 48.35/31.40 tff(4330,plain,
% 48.35/31.40 (v113(constB21)),
% 48.35/31.40 inference(unit_resolution,[status(thm)],[4329, 210, 4326])).
% 48.35/31.40 tff(4331,assumption,(v26(constB21)), introduced(assumption)).
% 48.35/31.40 tff(4332,plain,
% 48.35/31.40 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB21))),
% 48.35/31.40 inference(quant_inst,[status(thm)],[])).
% 48.35/31.40 tff(4333,plain,
% 48.35/31.40 ($false),
% 48.35/31.40 inference(unit_resolution,[status(thm)],[4332, 16, 4331])).
% 48.35/31.40 tff(4334,plain,(~v26(constB21)), inference(lemma,lemma(discharge,[]))).
% 48.35/31.40 tff(4335,plain,
% 48.35/31.40 (((~![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))),
% 48.35/31.40 inference(rewrite,[status(thm)],[])).
% 48.35/31.40 tff(4336,plain,
% 48.35/31.40 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB21) | (~v113(constB21)) | v112(constB21))),
% 48.35/31.40 inference(quant_inst,[status(thm)],[])).
% 48.35/31.40 tff(4337,plain,
% 48.35/31.40 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB21) | (~v113(constB21)) | v112(constB21)),
% 48.35/31.40 inference(modus_ponens,[status(thm)],[4336, 4335])).
% 48.35/31.40 tff(4338,plain,
% 48.35/31.40 ((~v113(constB21)) | v112(constB21)),
% 48.35/31.40 inference(unit_resolution,[status(thm)],[4337, 224, 4334])).
% 48.35/31.40 tff(4339,plain,
% 48.35/31.40 (v112(constB21)),
% 48.35/31.40 inference(unit_resolution,[status(thm)],[4338, 4330])).
% 48.35/31.40 tff(4340,plain,
% 48.35/31.40 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB21) | (~v112(constB21)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB21) | (~v112(constB21)))),
% 48.35/31.40 inference(rewrite,[status(thm)],[])).
% 48.35/31.40 tff(4341,plain,
% 48.35/31.40 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB21) | (~v112(constB21)))),
% 48.35/31.40 inference(quant_inst,[status(thm)],[])).
% 48.35/31.40 tff(4342,plain,
% 48.35/31.40 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB21) | (~v112(constB21))),
% 48.35/31.40 inference(modus_ponens,[status(thm)],[4341, 4340])).
% 48.35/31.40 tff(4343,plain,
% 48.35/31.40 (v108(constB21)),
% 48.35/31.40 inference(unit_resolution,[status(thm)],[4342, 236, 4339])).
% 48.35/31.40 tff(4344,plain,
% 48.35/31.40 (nextState(constB21, constB22) <=> nextState(constB21, constB22)),
% 48.35/31.40 inference(rewrite,[status(thm)],[])).
% 48.35/31.40 tff(4345,axiom,(nextState(constB21, constB22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_21_1')).
% 48.35/31.40 tff(4346,plain,
% 48.35/31.40 (nextState(constB21, constB22)),
% 48.35/31.40 inference(modus_ponens,[status(thm)],[4345, 4344])).
% 48.35/31.40 tff(4347,plain,
% 48.35/31.40 (((~![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)))),
% 48.35/31.40 inference(rewrite,[status(thm)],[])).
% 48.35/31.40 tff(4348,plain,
% 48.35/31.40 (((~nextState(constB21, constB22)) | (~v108(constB21)) | v110(constB22)) <=> ((~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21)))),
% 48.35/31.40 inference(rewrite,[status(thm)],[])).
% 48.35/31.40 tff(4349,plain,
% 48.35/31.40 (((~![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))))),
% 48.35/31.40 inference(monotonicity,[status(thm)],[4348])).
% 48.35/31.40 tff(4350,plain,
% 48.35/31.40 (((~![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)))),
% 48.35/31.40 inference(transitivity,[status(thm)],[4349, 4347])).
% 48.35/31.40 tff(4351,plain,
% 48.35/31.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB21, constB22)) | (~v108(constB21)) | v110(constB22))),
% 48.35/31.40 inference(quant_inst,[status(thm)],[])).
% 48.35/31.40 tff(4352,plain,
% 48.35/31.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21))),
% 48.35/31.40 inference(modus_ponens,[status(thm)],[4351, 4350])).
% 48.35/31.40 tff(4353,plain,
% 48.35/31.40 (v110(constB22) | (~v108(constB21))),
% 48.35/31.40 inference(unit_resolution,[status(thm)],[4352, 253, 4346])).
% 48.35/31.40 tff(4354,plain,
% 48.35/31.40 (v110(constB22)),
% 48.35/31.40 inference(unit_resolution,[status(thm)],[4353, 4343])).
% 48.35/31.40 tff(4355,plain,
% 48.35/31.40 (((~![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)))),
% 48.35/31.40 inference(rewrite,[status(thm)],[])).
% 48.35/31.40 tff(4356,plain,
% 48.35/31.40 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB21) | (~nextState(constB21, constB22)) | (~v104(constB22)))),
% 48.35/31.40 inference(quant_inst,[status(thm)],[])).
% 48.35/31.40 tff(4357,plain,
% 48.35/31.40 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB21) | (~nextState(constB21, constB22)) | (~v104(constB22))),
% 48.35/31.40 inference(modus_ponens,[status(thm)],[4356, 4355])).
% 48.35/31.40 tff(4358,plain,
% 48.35/31.40 (~v104(constB22)),
% 48.35/31.40 inference(unit_resolution,[status(thm)],[4357, 271, 4346, 4224])).
% 48.35/31.40 tff(4359,plain,
% 48.35/31.40 (((~![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))),
% 48.35/31.40 inference(rewrite,[status(thm)],[])).
% 48.35/31.40 tff(4360,plain,
% 48.35/31.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB21, constB22)) | v102(constB22) | v104(constB22))),
% 48.35/31.40 inference(quant_inst,[status(thm)],[])).
% 48.35/31.40 tff(4361,plain,
% 48.35/31.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB21, constB22)) | v102(constB22) | v104(constB22)),
% 48.35/31.40 inference(modus_ponens,[status(thm)],[4360, 4359])).
% 48.35/31.40 tff(4362,plain,
% 48.35/31.40 (v102(constB22) | v104(constB22)),
% 48.35/31.40 inference(unit_resolution,[status(thm)],[4361, 285, 4346])).
% 48.35/31.40 tff(4363,plain,
% 48.35/31.40 (v102(constB22)),
% 48.35/31.40 inference(unit_resolution,[status(thm)],[4362, 4358])).
% 48.35/31.40 tff(4364,plain,
% 48.35/31.40 (v1(constB22) <=> v1(constB22)),
% 48.35/31.40 inference(rewrite,[status(thm)],[])).
% 48.35/31.40 tff(4365,axiom,(v1(constB22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_22_1')).
% 48.35/31.40 tff(4366,plain,
% 48.35/31.40 (v1(constB22)),
% 48.35/31.40 inference(modus_ponens,[status(thm)],[4365, 4364])).
% 48.35/31.40 tff(4367,plain,
% 48.35/31.41 (((~![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)))),
% 48.35/31.41 inference(rewrite,[status(thm)],[])).
% 48.35/31.41 tff(4368,plain,
% 48.35/31.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB21, constB22)) | v101(constB22) | (~v102(constB22)) | (~v1(constB22)))),
% 48.35/31.41 inference(quant_inst,[status(thm)],[])).
% 48.35/31.41 tff(4369,plain,
% 48.35/31.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB21, constB22)) | v101(constB22) | (~v102(constB22)) | (~v1(constB22))),
% 48.35/31.41 inference(modus_ponens,[status(thm)],[4368, 4367])).
% 48.35/31.41 tff(4370,plain,
% 48.35/31.41 (v101(constB22) | (~v102(constB22))),
% 48.35/31.41 inference(unit_resolution,[status(thm)],[4369, 303, 4346, 4366])).
% 48.35/31.41 tff(4371,plain,
% 48.35/31.41 (v101(constB22)),
% 48.35/31.41 inference(unit_resolution,[status(thm)],[4370, 4363])).
% 48.35/31.41 tff(4372,plain,
% 48.35/31.41 (((~![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)))),
% 48.35/31.41 inference(rewrite,[status(thm)],[])).
% 48.35/31.41 tff(4373,plain,
% 48.35/31.41 (((~nextState(constB21, constB22)) | (~v101(constB22)) | (~v110(constB22)) | v100(constB22)) <=> ((~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22)))),
% 48.35/31.41 inference(rewrite,[status(thm)],[])).
% 48.35/31.41 tff(4374,plain,
% 48.35/31.41 (((~![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))))),
% 48.35/31.41 inference(monotonicity,[status(thm)],[4373])).
% 48.35/31.41 tff(4375,plain,
% 48.35/31.41 (((~![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)))),
% 48.35/31.41 inference(transitivity,[status(thm)],[4374, 4372])).
% 48.35/31.41 tff(4376,plain,
% 48.35/31.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB21, constB22)) | (~v101(constB22)) | (~v110(constB22)) | v100(constB22))),
% 48.35/31.41 inference(quant_inst,[status(thm)],[])).
% 48.35/31.41 tff(4377,plain,
% 48.35/31.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22))),
% 48.35/31.41 inference(modus_ponens,[status(thm)],[4376, 4375])).
% 48.35/31.41 tff(4378,plain,
% 48.35/31.41 (v100(constB22) | (~v101(constB22)) | (~v110(constB22))),
% 48.35/31.41 inference(unit_resolution,[status(thm)],[4377, 318, 4346])).
% 48.35/31.41 tff(4379,plain,
% 48.35/31.41 (v100(constB22) | (~v110(constB22))),
% 48.35/31.41 inference(unit_resolution,[status(thm)],[4378, 4371])).
% 48.35/31.41 tff(4380,plain,
% 48.35/31.41 (v100(constB22)),
% 48.35/31.41 inference(unit_resolution,[status(thm)],[4379, 4354])).
% 48.35/31.41 tff(4381,plain,
% 48.35/31.41 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB21)) | v130(constB21, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB21)) | v130(constB21, bitIndex2))),
% 48.35/31.41 inference(rewrite,[status(thm)],[])).
% 48.35/31.41 tff(4382,plain,
% 48.35/31.41 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB21)) | v130(constB21, bitIndex2))),
% 48.35/31.41 inference(quant_inst,[status(thm)],[])).
% 48.35/31.41 tff(4383,plain,
% 48.35/31.41 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB21)) | v130(constB21, bitIndex2)),
% 48.35/31.41 inference(modus_ponens,[status(thm)],[4382, 4381])).
% 48.35/31.41 tff(4384,plain,
% 48.35/31.41 (v130(constB21, bitIndex2)),
% 48.35/31.41 inference(unit_resolution,[status(thm)],[4383, 1876, 4314])).
% 48.35/31.41 tff(4385,plain,
% 48.35/31.41 (((~![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))),
% 48.35/31.41 inference(rewrite,[status(thm)],[])).
% 48.35/31.41 tff(4386,plain,
% 48.35/31.41 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB21) | (~v130(constB21, bitIndex2)) | v127(constB21, bitIndex2))),
% 48.35/31.41 inference(quant_inst,[status(thm)],[])).
% 48.35/31.41 tff(4387,plain,
% 48.35/31.41 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB21) | (~v130(constB21, bitIndex2)) | v127(constB21, bitIndex2)),
% 48.35/31.41 inference(modus_ponens,[status(thm)],[4386, 4385])).
% 48.35/31.41 tff(4388,plain,
% 48.35/31.41 ((~v130(constB21, bitIndex2)) | v127(constB21, bitIndex2)),
% 48.35/31.41 inference(unit_resolution,[status(thm)],[4387, 351, 4334])).
% 48.35/31.41 tff(4389,plain,
% 48.35/31.41 (v127(constB21, bitIndex2)),
% 48.35/31.41 inference(unit_resolution,[status(thm)],[4388, 4384])).
% 48.35/31.41 tff(4390,plain,
% 48.35/31.41 (((~![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))),
% 48.35/31.41 inference(rewrite,[status(thm)],[])).
% 48.35/31.41 tff(4391,plain,
% 48.35/31.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB21, constB22)) | (~v127(constB21, bitIndex2)) | v129(constB22, bitIndex2))),
% 48.35/31.41 inference(quant_inst,[status(thm)],[])).
% 48.35/31.41 tff(4392,plain,
% 48.35/31.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB21, constB22)) | (~v127(constB21, bitIndex2)) | v129(constB22, bitIndex2)),
% 48.35/31.41 inference(modus_ponens,[status(thm)],[4391, 4390])).
% 48.35/31.41 tff(4393,plain,
% 48.35/31.41 ((~v127(constB21, bitIndex2)) | v129(constB22, bitIndex2)),
% 48.35/31.41 inference(unit_resolution,[status(thm)],[4392, 366, 4346])).
% 48.35/31.41 tff(4394,plain,
% 48.35/31.41 (v129(constB22, bitIndex2)),
% 48.35/31.41 inference(unit_resolution,[status(thm)],[4393, 4389])).
% 48.35/31.41 tff(4395,plain,
% 48.35/31.41 (((~![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)))),
% 48.35/31.41 inference(rewrite,[status(thm)],[])).
% 48.35/31.41 tff(4396,plain,
% 48.35/31.41 ((v90(constB22, bitIndex2) | (~v100(constB22)) | (~v129(constB22, bitIndex2))) <=> (v90(constB22, bitIndex2) | (~v129(constB22, bitIndex2)) | (~v100(constB22)))),
% 48.35/31.41 inference(rewrite,[status(thm)],[])).
% 48.35/31.41 tff(4397,plain,
% 48.35/31.41 (((~![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))))),
% 48.35/31.41 inference(monotonicity,[status(thm)],[4396])).
% 48.35/31.41 tff(4398,plain,
% 48.35/31.41 (((~![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)))),
% 48.35/31.41 inference(transitivity,[status(thm)],[4397, 4395])).
% 48.35/31.41 tff(4399,plain,
% 48.35/31.41 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB22, bitIndex2) | (~v100(constB22)) | (~v129(constB22, bitIndex2)))),
% 48.35/31.41 inference(quant_inst,[status(thm)],[])).
% 48.35/31.41 tff(4400,plain,
% 48.35/31.41 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB22, bitIndex2) | (~v129(constB22, bitIndex2)) | (~v100(constB22))),
% 48.35/31.41 inference(modus_ponens,[status(thm)],[4399, 4398])).
% 48.35/31.41 tff(4401,plain,
% 48.35/31.41 (v90(constB22, bitIndex2) | (~v100(constB22))),
% 48.35/31.41 inference(unit_resolution,[status(thm)],[4400, 381, 4394])).
% 48.35/31.41 tff(4402,plain,
% 48.35/31.41 (v90(constB22, bitIndex2)),
% 48.35/31.41 inference(unit_resolution,[status(thm)],[4401, 4380])).
% 48.35/31.41 tff(4403,plain,
% 48.35/31.41 ((~v1(constB23)) <=> (~v1(constB23))),
% 48.35/31.41 inference(rewrite,[status(thm)],[])).
% 48.35/31.41 tff(4404,axiom,(~v1(constB23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_23_1_1')).
% 48.35/31.41 tff(4405,plain,
% 48.35/31.41 (~v1(constB23)),
% 48.35/31.41 inference(modus_ponens,[status(thm)],[4404, 4403])).
% 48.35/31.41 tff(4406,plain,
% 48.35/31.41 (nextState(constB22, constB23) <=> nextState(constB22, constB23)),
% 48.35/31.41 inference(rewrite,[status(thm)],[])).
% 48.35/31.41 tff(4407,axiom,(nextState(constB22, constB23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_22_1')).
% 48.35/31.41 tff(4408,plain,
% 48.35/31.41 (nextState(constB22, constB23)),
% 48.35/31.41 inference(modus_ponens,[status(thm)],[4407, 4406])).
% 48.35/31.41 tff(4409,plain,
% 48.35/31.41 (((~![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)))),
% 48.35/31.41 inference(rewrite,[status(thm)],[])).
% 48.35/31.41 tff(4410,plain,
% 48.35/31.41 (((~nextState(constB22, constB23)) | (~v101(constB23)) | v1(constB23)) <=> (v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23)))),
% 48.35/31.41 inference(rewrite,[status(thm)],[])).
% 48.35/31.41 tff(4411,plain,
% 48.35/31.41 (((~![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))))),
% 48.35/31.41 inference(monotonicity,[status(thm)],[4410])).
% 48.35/31.41 tff(4412,plain,
% 48.35/31.41 (((~![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)))),
% 48.35/31.41 inference(transitivity,[status(thm)],[4411, 4409])).
% 48.35/31.41 tff(4413,plain,
% 48.35/31.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB22, constB23)) | (~v101(constB23)) | v1(constB23))),
% 48.35/31.41 inference(quant_inst,[status(thm)],[])).
% 48.35/31.41 tff(4414,plain,
% 48.35/31.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23))),
% 48.35/31.41 inference(modus_ponens,[status(thm)],[4413, 4412])).
% 48.35/31.41 tff(4415,plain,
% 48.35/31.41 (~v101(constB23)),
% 48.35/31.41 inference(unit_resolution,[status(thm)],[4414, 49, 4408, 4405])).
% 48.35/31.41 tff(4416,plain,
% 48.35/31.41 (((~![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)))),
% 48.35/31.41 inference(rewrite,[status(thm)],[])).
% 48.35/31.41 tff(4417,plain,
% 48.35/31.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB22, constB23)) | v101(constB23) | (~v100(constB23)))),
% 48.35/31.41 inference(quant_inst,[status(thm)],[])).
% 48.35/31.41 tff(4418,plain,
% 48.35/31.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB22, constB23)) | v101(constB23) | (~v100(constB23))),
% 48.35/31.41 inference(modus_ponens,[status(thm)],[4417, 4416])).
% 48.35/31.41 tff(4419,plain,
% 48.35/31.41 (v101(constB23) | (~v100(constB23))),
% 48.35/31.41 inference(unit_resolution,[status(thm)],[4418, 66, 4408])).
% 48.35/31.41 tff(4420,plain,
% 48.35/31.41 (~v100(constB23)),
% 48.35/31.41 inference(unit_resolution,[status(thm)],[4419, 4415])).
% 48.35/31.41 tff(4421,plain,
% 48.35/31.41 (((~![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))),
% 48.35/31.41 inference(rewrite,[status(thm)],[])).
% 48.35/31.41 tff(4422,plain,
% 48.35/31.41 (((~nextState(constB22, constB23)) | (~v90(constB22, bitIndex2)) | v100(constB23) | v90(constB23, bitIndex2)) <=> ((~v90(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, bitIndex2))),
% 48.35/31.41 inference(rewrite,[status(thm)],[])).
% 48.35/31.41 tff(4423,plain,
% 48.35/31.41 (((~![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)))),
% 48.35/31.41 inference(monotonicity,[status(thm)],[4422])).
% 48.35/31.41 tff(4424,plain,
% 48.35/31.41 (((~![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))),
% 48.35/31.41 inference(transitivity,[status(thm)],[4423, 4421])).
% 48.35/31.41 tff(4425,plain,
% 48.35/31.41 ((~![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))),
% 48.35/31.41 inference(quant_inst,[status(thm)],[])).
% 48.35/31.41 tff(4426,plain,
% 48.35/31.41 ((~![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)),
% 48.35/31.41 inference(modus_ponens,[status(thm)],[4425, 4424])).
% 48.35/31.41 tff(4427,plain,
% 48.35/31.41 ((~v90(constB22, bitIndex2)) | v100(constB23) | v90(constB23, bitIndex2)),
% 48.35/31.41 inference(unit_resolution,[status(thm)],[4426, 417, 4408])).
% 48.35/31.41 tff(4428,plain,
% 48.35/31.41 ((~v90(constB22, bitIndex2)) | v90(constB23, bitIndex2)),
% 48.35/31.41 inference(unit_resolution,[status(thm)],[4427, 4420])).
% 48.35/31.41 tff(4429,plain,
% 48.35/31.41 (v90(constB23, bitIndex2)),
% 48.35/31.41 inference(unit_resolution,[status(thm)],[4428, 4402])).
% 48.35/31.41 tff(4430,plain,
% 48.35/31.41 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB21)) | (~v130(constB21, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB21)) | (~v130(constB21, bitIndex1)))),
% 48.35/31.41 inference(rewrite,[status(thm)],[])).
% 48.35/31.41 tff(4431,plain,
% 48.35/31.41 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB21)) | (~v130(constB21, bitIndex1)))),
% 48.35/31.41 inference(quant_inst,[status(thm)],[])).
% 48.35/31.41 tff(4432,plain,
% 48.35/31.41 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB21)) | (~v130(constB21, bitIndex1))),
% 48.35/31.41 inference(modus_ponens,[status(thm)],[4431, 4430])).
% 48.35/31.41 tff(4433,plain,
% 48.35/31.41 (~v130(constB21, bitIndex1)),
% 48.35/31.41 inference(unit_resolution,[status(thm)],[4432, 1935, 4314])).
% 48.35/31.41 tff(4434,plain,
% 48.35/31.41 (((~![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))),
% 48.35/31.41 inference(rewrite,[status(thm)],[])).
% 48.35/31.41 tff(4435,plain,
% 48.35/31.41 ((v26(constB21) | v130(constB21, bitIndex1) | (~v127(constB21, bitIndex1))) <=> ((~v127(constB21, bitIndex1)) | v26(constB21) | v130(constB21, bitIndex1))),
% 48.35/31.41 inference(rewrite,[status(thm)],[])).
% 48.35/31.41 tff(4436,plain,
% 48.35/31.41 (((~![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)))),
% 48.35/31.41 inference(monotonicity,[status(thm)],[4435])).
% 48.35/31.41 tff(4437,plain,
% 48.35/31.41 (((~![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))),
% 48.35/31.41 inference(transitivity,[status(thm)],[4436, 4434])).
% 48.35/31.41 tff(4438,plain,
% 48.35/31.41 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB21) | v130(constB21, bitIndex1) | (~v127(constB21, bitIndex1)))),
% 48.35/31.41 inference(quant_inst,[status(thm)],[])).
% 48.35/31.41 tff(4439,plain,
% 48.35/31.41 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB21, bitIndex1)) | v26(constB21) | v130(constB21, bitIndex1)),
% 48.35/31.41 inference(modus_ponens,[status(thm)],[4438, 4437])).
% 48.35/31.41 tff(4440,plain,
% 48.35/31.41 ((~v127(constB21, bitIndex1)) | v130(constB21, bitIndex1)),
% 48.35/31.41 inference(unit_resolution,[status(thm)],[4439, 450, 4334])).
% 48.35/31.41 tff(4441,plain,
% 48.35/31.41 (~v127(constB21, bitIndex1)),
% 48.35/31.41 inference(unit_resolution,[status(thm)],[4440, 4433])).
% 48.35/31.41 tff(4442,plain,
% 48.35/31.41 (((~![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)))),
% 48.35/31.41 inference(rewrite,[status(thm)],[])).
% 48.35/31.41 tff(4443,plain,
% 48.35/31.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB21, constB22)) | v127(constB21, bitIndex1) | (~v129(constB22, bitIndex1)))),
% 48.35/31.41 inference(quant_inst,[status(thm)],[])).
% 48.35/31.41 tff(4444,plain,
% 48.35/31.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB21, constB22)) | v127(constB21, bitIndex1) | (~v129(constB22, bitIndex1))),
% 48.35/31.41 inference(modus_ponens,[status(thm)],[4443, 4442])).
% 48.35/31.41 tff(4445,plain,
% 48.35/31.41 (v127(constB21, bitIndex1) | (~v129(constB22, bitIndex1))),
% 48.35/31.41 inference(unit_resolution,[status(thm)],[4444, 468, 4346])).
% 48.35/31.41 tff(4446,plain,
% 48.35/31.41 (~v129(constB22, bitIndex1)),
% 48.35/31.41 inference(unit_resolution,[status(thm)],[4445, 4441])).
% 48.35/31.41 tff(4447,plain,
% 48.35/31.41 (((~![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)))),
% 48.35/31.41 inference(rewrite,[status(thm)],[])).
% 48.35/31.41 tff(4448,plain,
% 48.35/31.41 (((~v90(constB22, bitIndex1)) | (~v100(constB22)) | v129(constB22, bitIndex1)) <=> ((~v90(constB22, bitIndex1)) | v129(constB22, bitIndex1) | (~v100(constB22)))),
% 48.35/31.41 inference(rewrite,[status(thm)],[])).
% 48.35/31.41 tff(4449,plain,
% 48.35/31.41 (((~![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))))),
% 48.35/31.41 inference(monotonicity,[status(thm)],[4448])).
% 48.35/31.41 tff(4450,plain,
% 48.35/31.41 (((~![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)))),
% 48.35/31.41 inference(transitivity,[status(thm)],[4449, 4447])).
% 48.35/31.41 tff(4451,plain,
% 48.35/31.41 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB22, bitIndex1)) | (~v100(constB22)) | v129(constB22, bitIndex1))),
% 48.35/31.41 inference(quant_inst,[status(thm)],[])).
% 48.35/31.41 tff(4452,plain,
% 48.35/31.41 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB22, bitIndex1)) | v129(constB22, bitIndex1) | (~v100(constB22))),
% 48.35/31.41 inference(modus_ponens,[status(thm)],[4451, 4450])).
% 48.35/31.41 tff(4453,plain,
% 48.35/31.41 ((~v90(constB22, bitIndex1)) | (~v100(constB22))),
% 48.35/31.41 inference(unit_resolution,[status(thm)],[4452, 483, 4446])).
% 48.35/31.41 tff(4454,plain,
% 48.35/31.41 (~v90(constB22, bitIndex1)),
% 48.35/31.41 inference(unit_resolution,[status(thm)],[4453, 4380])).
% 48.35/31.41 tff(4455,plain,
% 48.35/31.41 (((~![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)))),
% 48.35/31.41 inference(rewrite,[status(thm)],[])).
% 48.35/31.41 tff(4456,plain,
% 48.35/31.41 (((~nextState(constB22, constB23)) | v90(constB22, bitIndex1) | v100(constB23) | (~v90(constB23, bitIndex1))) <=> (v90(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex1)))),
% 48.35/31.41 inference(rewrite,[status(thm)],[])).
% 48.35/31.41 tff(4457,plain,
% 48.35/31.41 (((~![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))))),
% 48.35/31.41 inference(monotonicity,[status(thm)],[4456])).
% 48.35/31.41 tff(4458,plain,
% 48.35/31.41 (((~![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)))),
% 48.35/31.41 inference(transitivity,[status(thm)],[4457, 4455])).
% 48.35/31.41 tff(4459,plain,
% 48.35/31.41 ((~![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)))),
% 48.35/31.41 inference(quant_inst,[status(thm)],[])).
% 48.35/31.41 tff(4460,plain,
% 48.35/31.41 ((~![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))),
% 48.35/31.41 inference(modus_ponens,[status(thm)],[4459, 4458])).
% 48.35/31.41 tff(4461,plain,
% 48.35/31.41 (v90(constB22, bitIndex1) | v100(constB23) | (~v90(constB23, bitIndex1))),
% 48.35/31.41 inference(unit_resolution,[status(thm)],[4460, 102, 4408])).
% 48.35/31.41 tff(4462,plain,
% 48.35/31.41 (v90(constB22, bitIndex1) | (~v90(constB23, bitIndex1))),
% 48.35/31.41 inference(unit_resolution,[status(thm)],[4461, 4420])).
% 48.35/31.41 tff(4463,plain,
% 48.35/31.41 (~v90(constB23, bitIndex1)),
% 48.35/31.41 inference(unit_resolution,[status(thm)],[4462, 4454])).
% 48.35/31.41 tff(4464,plain,
% 48.35/31.41 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB21)) | (~v130(constB21, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB21)) | (~v130(constB21, bitIndex0)))),
% 48.35/31.41 inference(rewrite,[status(thm)],[])).
% 48.35/31.41 tff(4465,plain,
% 48.35/31.41 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB21)) | (~v130(constB21, bitIndex0)))),
% 48.35/31.41 inference(quant_inst,[status(thm)],[])).
% 48.35/31.41 tff(4466,plain,
% 48.35/31.41 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB21)) | (~v130(constB21, bitIndex0))),
% 48.35/31.41 inference(modus_ponens,[status(thm)],[4465, 4464])).
% 48.35/31.41 tff(4467,plain,
% 48.35/31.41 (~v130(constB21, bitIndex0)),
% 48.35/31.41 inference(unit_resolution,[status(thm)],[4466, 1997, 4314])).
% 48.35/31.41 tff(4468,plain,
% 48.35/31.41 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB21, bitIndex0)) | v26(constB21) | v130(constB21, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB21, bitIndex0)) | v26(constB21) | v130(constB21, bitIndex0))),
% 48.35/31.41 inference(rewrite,[status(thm)],[])).
% 48.35/31.41 tff(4469,plain,
% 48.35/31.41 ((v26(constB21) | v130(constB21, bitIndex0) | (~v127(constB21, bitIndex0))) <=> ((~v127(constB21, bitIndex0)) | v26(constB21) | v130(constB21, bitIndex0))),
% 48.35/31.41 inference(rewrite,[status(thm)],[])).
% 48.35/31.41 tff(4470,plain,
% 48.35/31.41 (((~![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)))) | ((~v127(constB21, bitIndex0)) | v26(constB21) | v130(constB21, bitIndex0)))),
% 48.35/31.41 inference(monotonicity,[status(thm)],[4469])).
% 48.35/31.41 tff(4471,plain,
% 48.35/31.41 (((~![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)))) | (~v127(constB21, bitIndex0)) | v26(constB21) | v130(constB21, bitIndex0))),
% 48.35/31.41 inference(transitivity,[status(thm)],[4470, 4468])).
% 48.35/31.41 tff(4472,plain,
% 48.35/31.41 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB21) | v130(constB21, bitIndex0) | (~v127(constB21, bitIndex0)))),
% 48.35/31.41 inference(quant_inst,[status(thm)],[])).
% 48.35/31.42 tff(4473,plain,
% 48.35/31.42 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB21, bitIndex0)) | v26(constB21) | v130(constB21, bitIndex0)),
% 48.35/31.42 inference(modus_ponens,[status(thm)],[4472, 4471])).
% 48.35/31.42 tff(4474,plain,
% 48.35/31.42 ((~v127(constB21, bitIndex0)) | v130(constB21, bitIndex0)),
% 48.35/31.42 inference(unit_resolution,[status(thm)],[4473, 524, 4334])).
% 48.35/31.42 tff(4475,plain,
% 48.35/31.42 (~v127(constB21, bitIndex0)),
% 48.35/31.42 inference(unit_resolution,[status(thm)],[4474, 4467])).
% 48.35/31.42 tff(4476,plain,
% 48.35/31.42 (((~![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)))),
% 48.35/31.42 inference(rewrite,[status(thm)],[])).
% 48.35/31.42 tff(4477,plain,
% 48.35/31.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB21, constB22)) | v127(constB21, bitIndex0) | (~v129(constB22, bitIndex0)))),
% 48.35/31.42 inference(quant_inst,[status(thm)],[])).
% 48.35/31.42 tff(4478,plain,
% 48.35/31.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB21, constB22)) | v127(constB21, bitIndex0) | (~v129(constB22, bitIndex0))),
% 48.35/31.42 inference(modus_ponens,[status(thm)],[4477, 4476])).
% 48.35/31.42 tff(4479,plain,
% 48.35/31.42 (v127(constB21, bitIndex0) | (~v129(constB22, bitIndex0))),
% 48.35/31.42 inference(unit_resolution,[status(thm)],[4478, 542, 4346])).
% 48.35/31.42 tff(4480,plain,
% 48.35/31.42 (~v129(constB22, bitIndex0)),
% 48.35/31.42 inference(unit_resolution,[status(thm)],[4479, 4475])).
% 48.35/31.42 tff(4481,plain,
% 48.35/31.42 (((~![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)))),
% 48.35/31.42 inference(rewrite,[status(thm)],[])).
% 48.35/31.42 tff(4482,plain,
% 48.35/31.42 (((~v90(constB22, bitIndex0)) | (~v100(constB22)) | v129(constB22, bitIndex0)) <=> ((~v90(constB22, bitIndex0)) | v129(constB22, bitIndex0) | (~v100(constB22)))),
% 48.35/31.42 inference(rewrite,[status(thm)],[])).
% 48.35/31.42 tff(4483,plain,
% 48.35/31.42 (((~![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))))),
% 48.35/31.42 inference(monotonicity,[status(thm)],[4482])).
% 48.35/31.42 tff(4484,plain,
% 48.35/31.42 (((~![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)))),
% 48.35/31.42 inference(transitivity,[status(thm)],[4483, 4481])).
% 48.35/31.42 tff(4485,plain,
% 48.35/31.42 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB22, bitIndex0)) | (~v100(constB22)) | v129(constB22, bitIndex0))),
% 48.35/31.42 inference(quant_inst,[status(thm)],[])).
% 48.35/31.42 tff(4486,plain,
% 48.35/31.42 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB22, bitIndex0)) | v129(constB22, bitIndex0) | (~v100(constB22))),
% 48.35/31.42 inference(modus_ponens,[status(thm)],[4485, 4484])).
% 48.35/31.42 tff(4487,plain,
% 48.35/31.42 ((~v90(constB22, bitIndex0)) | (~v100(constB22))),
% 48.35/31.42 inference(unit_resolution,[status(thm)],[4486, 557, 4480])).
% 48.35/31.42 tff(4488,plain,
% 48.35/31.42 (~v90(constB22, bitIndex0)),
% 48.35/31.42 inference(unit_resolution,[status(thm)],[4487, 4380])).
% 48.35/31.42 tff(4489,plain,
% 48.35/31.42 (((~![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)))),
% 48.35/31.42 inference(rewrite,[status(thm)],[])).
% 48.35/31.42 tff(4490,plain,
% 48.35/31.42 (((~nextState(constB22, constB23)) | v90(constB22, bitIndex0) | v100(constB23) | (~v90(constB23, bitIndex0))) <=> (v90(constB22, bitIndex0) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, bitIndex0)))),
% 48.35/31.42 inference(rewrite,[status(thm)],[])).
% 48.35/31.42 tff(4491,plain,
% 48.35/31.42 (((~![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))))),
% 48.35/31.42 inference(monotonicity,[status(thm)],[4490])).
% 48.35/31.42 tff(4492,plain,
% 48.35/31.42 (((~![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)))),
% 48.35/31.42 inference(transitivity,[status(thm)],[4491, 4489])).
% 48.35/31.42 tff(4493,plain,
% 48.35/31.42 ((~![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)))),
% 48.35/31.42 inference(quant_inst,[status(thm)],[])).
% 48.35/31.42 tff(4494,plain,
% 48.35/31.42 ((~![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))),
% 48.35/31.42 inference(modus_ponens,[status(thm)],[4493, 4492])).
% 48.35/31.42 tff(4495,plain,
% 48.35/31.42 (v90(constB22, bitIndex0) | v100(constB23) | (~v90(constB23, bitIndex0))),
% 48.35/31.42 inference(unit_resolution,[status(thm)],[4494, 123, 4408])).
% 48.35/31.42 tff(4496,plain,
% 48.35/31.42 (v90(constB22, bitIndex0) | (~v90(constB23, bitIndex0))),
% 48.35/31.42 inference(unit_resolution,[status(thm)],[4495, 4420])).
% 48.35/31.42 tff(4497,plain,
% 48.35/31.42 (~v90(constB23, bitIndex0)),
% 48.35/31.42 inference(unit_resolution,[status(thm)],[4496, 4488])).
% 48.35/31.42 tff(4498,plain,
% 48.35/31.42 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB23, bitIndex0) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | v123(constB23))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB23, bitIndex0) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | v123(constB23))),
% 48.35/31.42 inference(rewrite,[status(thm)],[])).
% 48.35/31.42 tff(4499,plain,
% 48.35/31.42 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB23, bitIndex0) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | v123(constB23))),
% 48.35/31.42 inference(quant_inst,[status(thm)],[])).
% 48.35/31.42 tff(4500,plain,
% 48.35/31.42 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB23, bitIndex0) | v90(constB23, bitIndex1) | (~v90(constB23, bitIndex2)) | v123(constB23)),
% 48.35/31.42 inference(modus_ponens,[status(thm)],[4499, 4498])).
% 48.35/31.42 tff(4501,plain,
% 48.35/31.42 (v123(constB23)),
% 48.35/31.42 inference(unit_resolution,[status(thm)],[4500, 584, 4497, 4463, 4429])).
% 48.35/31.42 tff(4502,plain,
% 48.35/31.42 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB23) | (~v123(constB23)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB23) | (~v123(constB23)))),
% 48.35/31.42 inference(rewrite,[status(thm)],[])).
% 48.35/31.42 tff(4503,plain,
% 48.35/31.42 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB23) | (~v123(constB23)))),
% 48.35/31.42 inference(quant_inst,[status(thm)],[])).
% 48.35/31.42 tff(4504,plain,
% 48.35/31.42 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB23) | (~v123(constB23))),
% 48.35/31.42 inference(modus_ponens,[status(thm)],[4503, 4502])).
% 48.35/31.42 tff(4505,plain,
% 48.35/31.42 (v115(constB23)),
% 48.35/31.42 inference(unit_resolution,[status(thm)],[4504, 595, 4501])).
% 48.35/31.42 tff(4506,plain,
% 48.35/31.42 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB23) | (~v115(constB23)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB23) | (~v115(constB23)))),
% 48.35/31.42 inference(rewrite,[status(thm)],[])).
% 48.35/31.42 tff(4507,plain,
% 48.35/31.42 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB23) | (~v115(constB23)))),
% 48.35/31.42 inference(quant_inst,[status(thm)],[])).
% 48.35/31.42 tff(4508,plain,
% 48.35/31.42 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB23) | (~v115(constB23))),
% 48.35/31.42 inference(modus_ponens,[status(thm)],[4507, 4506])).
% 48.35/31.42 tff(4509,plain,
% 48.35/31.42 (v114(constB23)),
% 48.35/31.42 inference(unit_resolution,[status(thm)],[4508, 199, 4505])).
% 48.35/31.42 tff(4510,plain,
% 48.35/31.42 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB23) | (~v114(constB23)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB23) | (~v114(constB23)))),
% 48.35/31.42 inference(rewrite,[status(thm)],[])).
% 48.35/31.42 tff(4511,plain,
% 48.35/31.42 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB23) | (~v114(constB23)))),
% 48.35/31.42 inference(quant_inst,[status(thm)],[])).
% 48.35/31.42 tff(4512,plain,
% 48.35/31.42 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB23) | (~v114(constB23))),
% 48.35/31.42 inference(modus_ponens,[status(thm)],[4511, 4510])).
% 48.35/31.42 tff(4513,plain,
% 48.35/31.42 (v113(constB23)),
% 48.35/31.42 inference(unit_resolution,[status(thm)],[4512, 210, 4509])).
% 48.35/31.42 tff(4514,assumption,(~v108(constB23)), introduced(assumption)).
% 48.35/31.42 tff(4515,plain,
% 48.35/31.42 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB23) | (~v112(constB23)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB23) | (~v112(constB23)))),
% 48.35/31.42 inference(rewrite,[status(thm)],[])).
% 48.35/31.42 tff(4516,plain,
% 48.35/31.42 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB23) | (~v112(constB23)))),
% 48.35/31.42 inference(quant_inst,[status(thm)],[])).
% 48.35/31.42 tff(4517,plain,
% 48.35/31.42 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB23) | (~v112(constB23))),
% 48.35/31.42 inference(modus_ponens,[status(thm)],[4516, 4515])).
% 48.35/31.42 tff(4518,plain,
% 48.35/31.42 (~v112(constB23)),
% 48.35/31.42 inference(unit_resolution,[status(thm)],[4517, 236, 4514])).
% 48.35/31.42 tff(4519,plain,
% 48.35/31.42 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB23) | (~v26(constB23)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB23) | (~v26(constB23)))),
% 48.35/31.42 inference(rewrite,[status(thm)],[])).
% 48.35/31.42 tff(4520,plain,
% 48.35/31.42 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB23) | (~v26(constB23)))),
% 48.35/31.42 inference(quant_inst,[status(thm)],[])).
% 48.35/31.42 tff(4521,plain,
% 48.35/31.42 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB23) | (~v26(constB23))),
% 48.35/31.42 inference(modus_ponens,[status(thm)],[4520, 4519])).
% 48.35/31.42 tff(4522,plain,
% 48.35/31.42 (~v26(constB23)),
% 48.35/31.42 inference(unit_resolution,[status(thm)],[4521, 961, 4514])).
% 48.35/31.42 tff(4523,assumption,(v113(constB23)), introduced(assumption)).
% 48.35/31.42 tff(4524,plain,
% 48.35/31.42 (((~![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)))),
% 48.35/31.42 inference(rewrite,[status(thm)],[])).
% 48.35/31.42 tff(4525,plain,
% 48.35/31.42 ((v26(constB23) | (~v113(constB23)) | v112(constB23)) <=> (v26(constB23) | v112(constB23) | (~v113(constB23)))),
% 48.35/31.42 inference(rewrite,[status(thm)],[])).
% 48.35/31.42 tff(4526,plain,
% 48.35/31.42 (((~![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))))),
% 48.35/31.42 inference(monotonicity,[status(thm)],[4525])).
% 48.35/31.42 tff(4527,plain,
% 48.35/31.42 (((~![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)))),
% 48.35/31.42 inference(transitivity,[status(thm)],[4526, 4524])).
% 48.35/31.42 tff(4528,plain,
% 48.35/31.42 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB23) | (~v113(constB23)) | v112(constB23))),
% 48.35/31.42 inference(quant_inst,[status(thm)],[])).
% 48.35/31.42 tff(4529,plain,
% 48.35/31.42 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB23) | v112(constB23) | (~v113(constB23))),
% 48.35/31.42 inference(modus_ponens,[status(thm)],[4528, 4527])).
% 48.35/31.42 tff(4530,plain,
% 48.35/31.42 (v26(constB23) | v112(constB23)),
% 48.35/31.42 inference(unit_resolution,[status(thm)],[4529, 224, 4523])).
% 48.35/31.42 tff(4531,plain,
% 48.35/31.42 ($false),
% 48.35/31.42 inference(unit_resolution,[status(thm)],[4530, 4522, 4518])).
% 48.35/31.42 tff(4532,plain,(v108(constB23) | (~v113(constB23))), inference(lemma,lemma(discharge,[]))).
% 48.35/31.42 tff(4533,plain,
% 48.35/31.42 (v108(constB23)),
% 48.35/31.42 inference(unit_resolution,[status(thm)],[4532, 4513])).
% 48.35/31.42 tff(4534,plain,
% 48.35/31.42 (nextState(constB23, constB24) <=> nextState(constB23, constB24)),
% 48.35/31.42 inference(rewrite,[status(thm)],[])).
% 48.35/31.42 tff(4535,axiom,(nextState(constB23, constB24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_23_1')).
% 48.35/31.42 tff(4536,plain,
% 48.35/31.42 (nextState(constB23, constB24)),
% 48.35/31.42 inference(modus_ponens,[status(thm)],[4535, 4534])).
% 48.35/31.42 tff(4537,plain,
% 48.35/31.42 (((~![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)))),
% 48.35/31.42 inference(rewrite,[status(thm)],[])).
% 48.35/31.42 tff(4538,plain,
% 48.35/31.42 (((~nextState(constB23, constB24)) | (~v108(constB23)) | v110(constB24)) <=> ((~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23)))),
% 48.35/31.42 inference(rewrite,[status(thm)],[])).
% 48.35/31.42 tff(4539,plain,
% 48.35/31.42 (((~![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))))),
% 48.35/31.42 inference(monotonicity,[status(thm)],[4538])).
% 48.35/31.42 tff(4540,plain,
% 48.35/31.42 (((~![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)))),
% 48.35/31.42 inference(transitivity,[status(thm)],[4539, 4537])).
% 48.35/31.42 tff(4541,plain,
% 48.35/31.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB23, constB24)) | (~v108(constB23)) | v110(constB24))),
% 48.35/31.42 inference(quant_inst,[status(thm)],[])).
% 48.35/31.42 tff(4542,plain,
% 48.35/31.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23))),
% 48.35/31.42 inference(modus_ponens,[status(thm)],[4541, 4540])).
% 48.35/31.42 tff(4543,plain,
% 48.35/31.42 (v110(constB24) | (~v108(constB23))),
% 48.35/31.42 inference(unit_resolution,[status(thm)],[4542, 253, 4536])).
% 48.35/31.42 tff(4544,plain,
% 48.35/31.42 (v110(constB24)),
% 48.35/31.42 inference(unit_resolution,[status(thm)],[4543, 4533])).
% 48.35/31.42 tff(4545,plain,
% 48.35/31.42 (((~![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)))),
% 48.35/31.42 inference(rewrite,[status(thm)],[])).
% 48.35/31.42 tff(4546,plain,
% 48.35/31.42 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB23) | (~nextState(constB23, constB24)) | (~v104(constB24)))),
% 48.35/31.42 inference(quant_inst,[status(thm)],[])).
% 48.35/31.42 tff(4547,plain,
% 48.35/31.42 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB23) | (~nextState(constB23, constB24)) | (~v104(constB24))),
% 48.35/31.42 inference(modus_ponens,[status(thm)],[4546, 4545])).
% 48.35/31.42 tff(4548,plain,
% 48.35/31.42 (~v104(constB24)),
% 48.35/31.42 inference(unit_resolution,[status(thm)],[4547, 271, 4536, 4405])).
% 48.35/31.42 tff(4549,plain,
% 48.35/31.42 (((~![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))),
% 48.35/31.42 inference(rewrite,[status(thm)],[])).
% 48.35/31.42 tff(4550,plain,
% 48.35/31.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB23, constB24)) | v102(constB24) | v104(constB24))),
% 48.35/31.42 inference(quant_inst,[status(thm)],[])).
% 48.35/31.42 tff(4551,plain,
% 48.35/31.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB23, constB24)) | v102(constB24) | v104(constB24)),
% 48.35/31.42 inference(modus_ponens,[status(thm)],[4550, 4549])).
% 48.35/31.42 tff(4552,plain,
% 48.35/31.42 (v102(constB24) | v104(constB24)),
% 48.35/31.42 inference(unit_resolution,[status(thm)],[4551, 285, 4536])).
% 48.35/31.42 tff(4553,plain,
% 48.35/31.42 (v102(constB24)),
% 48.35/31.42 inference(unit_resolution,[status(thm)],[4552, 4548])).
% 48.35/31.42 tff(4554,plain,
% 48.35/31.42 (v1(constB24) <=> v1(constB24)),
% 48.35/31.42 inference(rewrite,[status(thm)],[])).
% 48.35/31.42 tff(4555,axiom,(v1(constB24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_24_1')).
% 48.35/31.42 tff(4556,plain,
% 48.35/31.42 (v1(constB24)),
% 48.35/31.42 inference(modus_ponens,[status(thm)],[4555, 4554])).
% 48.35/31.42 tff(4557,plain,
% 48.35/31.42 (((~![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)))),
% 48.35/31.42 inference(rewrite,[status(thm)],[])).
% 48.35/31.42 tff(4558,plain,
% 48.35/31.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB23, constB24)) | v101(constB24) | (~v102(constB24)) | (~v1(constB24)))),
% 48.35/31.42 inference(quant_inst,[status(thm)],[])).
% 48.35/31.42 tff(4559,plain,
% 48.35/31.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB23, constB24)) | v101(constB24) | (~v102(constB24)) | (~v1(constB24))),
% 48.35/31.42 inference(modus_ponens,[status(thm)],[4558, 4557])).
% 48.35/31.42 tff(4560,plain,
% 48.35/31.42 (v101(constB24) | (~v102(constB24))),
% 48.35/31.42 inference(unit_resolution,[status(thm)],[4559, 303, 4536, 4556])).
% 48.35/31.42 tff(4561,plain,
% 48.35/31.42 (v101(constB24)),
% 48.35/31.42 inference(unit_resolution,[status(thm)],[4560, 4553])).
% 48.35/31.42 tff(4562,plain,
% 48.35/31.42 (((~![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)))),
% 48.35/31.42 inference(rewrite,[status(thm)],[])).
% 48.35/31.42 tff(4563,plain,
% 48.35/31.42 (((~nextState(constB23, constB24)) | (~v101(constB24)) | (~v110(constB24)) | v100(constB24)) <=> ((~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24)))),
% 48.35/31.42 inference(rewrite,[status(thm)],[])).
% 48.35/31.42 tff(4564,plain,
% 48.35/31.42 (((~![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))))),
% 48.35/31.42 inference(monotonicity,[status(thm)],[4563])).
% 48.35/31.42 tff(4565,plain,
% 48.35/31.42 (((~![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)))),
% 48.35/31.42 inference(transitivity,[status(thm)],[4564, 4562])).
% 48.35/31.42 tff(4566,plain,
% 48.35/31.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB23, constB24)) | (~v101(constB24)) | (~v110(constB24)) | v100(constB24))),
% 48.35/31.42 inference(quant_inst,[status(thm)],[])).
% 48.35/31.42 tff(4567,plain,
% 48.35/31.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24))),
% 48.35/31.42 inference(modus_ponens,[status(thm)],[4566, 4565])).
% 48.35/31.42 tff(4568,plain,
% 48.35/31.42 (v100(constB24) | (~v101(constB24)) | (~v110(constB24))),
% 48.35/31.42 inference(unit_resolution,[status(thm)],[4567, 318, 4536])).
% 48.35/31.42 tff(4569,plain,
% 48.35/31.42 (v100(constB24) | (~v110(constB24))),
% 48.35/31.42 inference(unit_resolution,[status(thm)],[4568, 4561])).
% 48.35/31.42 tff(4570,plain,
% 48.35/31.42 (v100(constB24)),
% 48.35/31.42 inference(unit_resolution,[status(thm)],[4569, 4544])).
% 48.35/31.42 tff(4571,plain,
% 48.35/31.42 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB23)) | v130(constB23, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB23)) | v130(constB23, bitIndex2))),
% 48.35/31.42 inference(rewrite,[status(thm)],[])).
% 48.35/31.42 tff(4572,plain,
% 48.35/31.42 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB23)) | v130(constB23, bitIndex2))),
% 48.35/31.42 inference(quant_inst,[status(thm)],[])).
% 48.35/31.42 tff(4573,plain,
% 48.35/31.42 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB23)) | v130(constB23, bitIndex2)),
% 48.35/31.42 inference(modus_ponens,[status(thm)],[4572, 4571])).
% 48.35/31.42 tff(4574,plain,
% 48.35/31.42 (v130(constB23, bitIndex2)),
% 48.35/31.42 inference(unit_resolution,[status(thm)],[4573, 836, 4501])).
% 48.35/31.42 tff(4575,assumption,(v26(constB23)), introduced(assumption)).
% 48.35/31.42 tff(4576,plain,
% 48.35/31.42 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB23))),
% 48.35/31.42 inference(quant_inst,[status(thm)],[])).
% 48.35/31.42 tff(4577,plain,
% 48.35/31.42 ($false),
% 48.35/31.42 inference(unit_resolution,[status(thm)],[4576, 16, 4575])).
% 48.35/31.42 tff(4578,plain,(~v26(constB23)), inference(lemma,lemma(discharge,[]))).
% 48.35/31.42 tff(4579,plain,
% 48.35/31.42 (((~![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))),
% 48.35/31.42 inference(rewrite,[status(thm)],[])).
% 48.35/31.42 tff(4580,plain,
% 48.35/31.42 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB23) | (~v130(constB23, bitIndex2)) | v127(constB23, bitIndex2))),
% 48.35/31.42 inference(quant_inst,[status(thm)],[])).
% 48.35/31.42 tff(4581,plain,
% 48.35/31.42 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB23) | (~v130(constB23, bitIndex2)) | v127(constB23, bitIndex2)),
% 48.35/31.42 inference(modus_ponens,[status(thm)],[4580, 4579])).
% 48.35/31.42 tff(4582,plain,
% 48.35/31.42 ((~v130(constB23, bitIndex2)) | v127(constB23, bitIndex2)),
% 48.35/31.42 inference(unit_resolution,[status(thm)],[4581, 351, 4578])).
% 48.35/31.42 tff(4583,plain,
% 48.35/31.42 (v127(constB23, bitIndex2)),
% 48.35/31.42 inference(unit_resolution,[status(thm)],[4582, 4574])).
% 48.35/31.42 tff(4584,plain,
% 48.35/31.42 (((~![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))),
% 48.35/31.42 inference(rewrite,[status(thm)],[])).
% 48.35/31.42 tff(4585,plain,
% 48.35/31.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB23, constB24)) | (~v127(constB23, bitIndex2)) | v129(constB24, bitIndex2))),
% 48.35/31.42 inference(quant_inst,[status(thm)],[])).
% 48.35/31.42 tff(4586,plain,
% 48.35/31.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB23, constB24)) | (~v127(constB23, bitIndex2)) | v129(constB24, bitIndex2)),
% 48.35/31.42 inference(modus_ponens,[status(thm)],[4585, 4584])).
% 48.35/31.42 tff(4587,plain,
% 48.35/31.42 ((~v127(constB23, bitIndex2)) | v129(constB24, bitIndex2)),
% 48.35/31.42 inference(unit_resolution,[status(thm)],[4586, 366, 4536])).
% 48.35/31.42 tff(4588,plain,
% 48.35/31.42 (v129(constB24, bitIndex2)),
% 48.35/31.42 inference(unit_resolution,[status(thm)],[4587, 4583])).
% 48.35/31.42 tff(4589,plain,
% 48.35/31.42 (((~![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)))),
% 48.35/31.42 inference(rewrite,[status(thm)],[])).
% 48.35/31.42 tff(4590,plain,
% 48.35/31.42 ((v90(constB24, bitIndex2) | (~v100(constB24)) | (~v129(constB24, bitIndex2))) <=> (v90(constB24, bitIndex2) | (~v129(constB24, bitIndex2)) | (~v100(constB24)))),
% 48.35/31.42 inference(rewrite,[status(thm)],[])).
% 48.35/31.42 tff(4591,plain,
% 48.35/31.42 (((~![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))))),
% 48.35/31.42 inference(monotonicity,[status(thm)],[4590])).
% 48.35/31.42 tff(4592,plain,
% 48.35/31.42 (((~![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)))),
% 48.35/31.42 inference(transitivity,[status(thm)],[4591, 4589])).
% 48.35/31.42 tff(4593,plain,
% 48.35/31.42 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB24, bitIndex2) | (~v100(constB24)) | (~v129(constB24, bitIndex2)))),
% 48.35/31.42 inference(quant_inst,[status(thm)],[])).
% 48.35/31.42 tff(4594,plain,
% 48.35/31.42 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB24, bitIndex2) | (~v129(constB24, bitIndex2)) | (~v100(constB24))),
% 48.35/31.42 inference(modus_ponens,[status(thm)],[4593, 4592])).
% 48.35/31.42 tff(4595,plain,
% 48.35/31.42 (v90(constB24, bitIndex2) | (~v100(constB24))),
% 48.35/31.42 inference(unit_resolution,[status(thm)],[4594, 381, 4588])).
% 48.35/31.42 tff(4596,plain,
% 48.35/31.42 (v90(constB24, bitIndex2)),
% 48.35/31.42 inference(unit_resolution,[status(thm)],[4595, 4570])).
% 48.35/31.42 tff(4597,plain,
% 48.35/31.42 ((~v1(constB25)) <=> (~v1(constB25))),
% 48.35/31.42 inference(rewrite,[status(thm)],[])).
% 48.35/31.42 tff(4598,axiom,(~v1(constB25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_25_1_1')).
% 48.35/31.42 tff(4599,plain,
% 48.35/31.42 (~v1(constB25)),
% 48.35/31.42 inference(modus_ponens,[status(thm)],[4598, 4597])).
% 48.35/31.42 tff(4600,plain,
% 48.35/31.42 (nextState(constB24, constB25) <=> nextState(constB24, constB25)),
% 48.35/31.42 inference(rewrite,[status(thm)],[])).
% 48.35/31.42 tff(4601,axiom,(nextState(constB24, constB25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_24_1')).
% 48.35/31.42 tff(4602,plain,
% 48.35/31.42 (nextState(constB24, constB25)),
% 48.35/31.42 inference(modus_ponens,[status(thm)],[4601, 4600])).
% 48.35/31.42 tff(4603,plain,
% 48.35/31.42 (((~![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)))),
% 48.35/31.42 inference(rewrite,[status(thm)],[])).
% 48.35/31.42 tff(4604,plain,
% 48.35/31.42 (((~nextState(constB24, constB25)) | (~v101(constB25)) | v1(constB25)) <=> (v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25)))),
% 48.35/31.42 inference(rewrite,[status(thm)],[])).
% 48.35/31.42 tff(4605,plain,
% 48.35/31.42 (((~![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))))),
% 48.35/31.42 inference(monotonicity,[status(thm)],[4604])).
% 48.35/31.42 tff(4606,plain,
% 48.35/31.42 (((~![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)))),
% 48.35/31.42 inference(transitivity,[status(thm)],[4605, 4603])).
% 48.35/31.42 tff(4607,plain,
% 48.35/31.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB24, constB25)) | (~v101(constB25)) | v1(constB25))),
% 48.35/31.42 inference(quant_inst,[status(thm)],[])).
% 48.35/31.42 tff(4608,plain,
% 48.35/31.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25))),
% 48.35/31.42 inference(modus_ponens,[status(thm)],[4607, 4606])).
% 48.35/31.42 tff(4609,plain,
% 48.35/31.42 (~v101(constB25)),
% 48.35/31.42 inference(unit_resolution,[status(thm)],[4608, 49, 4602, 4599])).
% 48.35/31.42 tff(4610,plain,
% 48.35/31.42 (((~![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)))),
% 48.35/31.42 inference(rewrite,[status(thm)],[])).
% 48.35/31.42 tff(4611,plain,
% 48.35/31.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB24, constB25)) | v101(constB25) | (~v100(constB25)))),
% 48.35/31.42 inference(quant_inst,[status(thm)],[])).
% 48.35/31.42 tff(4612,plain,
% 48.35/31.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB24, constB25)) | v101(constB25) | (~v100(constB25))),
% 48.35/31.42 inference(modus_ponens,[status(thm)],[4611, 4610])).
% 48.35/31.42 tff(4613,plain,
% 48.35/31.42 (v101(constB25) | (~v100(constB25))),
% 48.35/31.42 inference(unit_resolution,[status(thm)],[4612, 66, 4602])).
% 48.35/31.42 tff(4614,plain,
% 48.35/31.42 (~v100(constB25)),
% 48.35/31.42 inference(unit_resolution,[status(thm)],[4613, 4609])).
% 48.35/31.42 tff(4615,plain,
% 48.35/31.42 (((~![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))),
% 48.35/31.42 inference(rewrite,[status(thm)],[])).
% 48.35/31.42 tff(4616,plain,
% 48.35/31.42 (((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex2)) | v100(constB25) | v90(constB25, bitIndex2)) <=> ((~v90(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex2))),
% 48.35/31.42 inference(rewrite,[status(thm)],[])).
% 48.35/31.42 tff(4617,plain,
% 48.35/31.42 (((~![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)))),
% 48.35/31.43 inference(monotonicity,[status(thm)],[4616])).
% 48.35/31.43 tff(4618,plain,
% 48.35/31.43 (((~![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))),
% 48.35/31.43 inference(transitivity,[status(thm)],[4617, 4615])).
% 48.35/31.43 tff(4619,plain,
% 48.35/31.43 ((~![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))),
% 48.35/31.43 inference(quant_inst,[status(thm)],[])).
% 48.35/31.43 tff(4620,plain,
% 48.35/31.43 ((~![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)),
% 48.35/31.43 inference(modus_ponens,[status(thm)],[4619, 4618])).
% 48.35/31.43 tff(4621,plain,
% 48.35/31.43 ((~v90(constB24, bitIndex2)) | v100(constB25) | v90(constB25, bitIndex2)),
% 48.35/31.43 inference(unit_resolution,[status(thm)],[4620, 417, 4602])).
% 48.35/31.43 tff(4622,plain,
% 48.35/31.43 ((~v90(constB24, bitIndex2)) | v90(constB25, bitIndex2)),
% 48.35/31.43 inference(unit_resolution,[status(thm)],[4621, 4614])).
% 48.35/31.43 tff(4623,plain,
% 48.35/31.43 (v90(constB25, bitIndex2)),
% 48.35/31.43 inference(unit_resolution,[status(thm)],[4622, 4596])).
% 48.35/31.43 tff(4624,plain,
% 48.35/31.43 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB23)) | v130(constB23, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB23)) | v130(constB23, bitIndex1))),
% 48.35/31.43 inference(rewrite,[status(thm)],[])).
% 48.35/31.43 tff(4625,plain,
% 48.35/31.43 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB23)) | v130(constB23, bitIndex1))),
% 48.35/31.43 inference(quant_inst,[status(thm)],[])).
% 48.35/31.43 tff(4626,plain,
% 48.35/31.43 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB23)) | v130(constB23, bitIndex1)),
% 48.35/31.43 inference(modus_ponens,[status(thm)],[4625, 4624])).
% 48.35/31.43 tff(4627,plain,
% 48.35/31.43 (v130(constB23, bitIndex1)),
% 48.35/31.43 inference(unit_resolution,[status(thm)],[4626, 667, 4501])).
% 48.35/31.43 tff(4628,plain,
% 48.35/31.43 (((~![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))),
% 48.35/31.43 inference(rewrite,[status(thm)],[])).
% 48.35/31.43 tff(4629,plain,
% 48.35/31.43 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB23) | (~v130(constB23, bitIndex1)) | v127(constB23, bitIndex1))),
% 48.35/31.43 inference(quant_inst,[status(thm)],[])).
% 48.35/31.43 tff(4630,plain,
% 48.35/31.43 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB23) | (~v130(constB23, bitIndex1)) | v127(constB23, bitIndex1)),
% 48.35/31.43 inference(modus_ponens,[status(thm)],[4629, 4628])).
% 48.35/31.43 tff(4631,plain,
% 48.35/31.43 ((~v130(constB23, bitIndex1)) | v127(constB23, bitIndex1)),
% 48.35/31.43 inference(unit_resolution,[status(thm)],[4630, 681, 4578])).
% 48.35/31.43 tff(4632,plain,
% 48.35/31.43 (v127(constB23, bitIndex1)),
% 48.35/31.43 inference(unit_resolution,[status(thm)],[4631, 4627])).
% 48.35/31.43 tff(4633,plain,
% 48.35/31.43 (((~![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))),
% 48.35/31.43 inference(rewrite,[status(thm)],[])).
% 48.35/31.43 tff(4634,plain,
% 48.35/31.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB23, constB24)) | (~v127(constB23, bitIndex1)) | v129(constB24, bitIndex1))),
% 48.35/31.43 inference(quant_inst,[status(thm)],[])).
% 48.35/31.43 tff(4635,plain,
% 48.35/31.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB23, constB24)) | (~v127(constB23, bitIndex1)) | v129(constB24, bitIndex1)),
% 48.35/31.43 inference(modus_ponens,[status(thm)],[4634, 4633])).
% 48.35/31.43 tff(4636,plain,
% 48.35/31.43 ((~v127(constB23, bitIndex1)) | v129(constB24, bitIndex1)),
% 48.35/31.43 inference(unit_resolution,[status(thm)],[4635, 696, 4536])).
% 48.35/31.43 tff(4637,plain,
% 48.35/31.43 (v129(constB24, bitIndex1)),
% 48.35/31.43 inference(unit_resolution,[status(thm)],[4636, 4632])).
% 48.35/31.43 tff(4638,plain,
% 48.35/31.43 (((~![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)))),
% 48.35/31.43 inference(rewrite,[status(thm)],[])).
% 48.35/31.43 tff(4639,plain,
% 48.35/31.43 ((v90(constB24, bitIndex1) | (~v100(constB24)) | (~v129(constB24, bitIndex1))) <=> (v90(constB24, bitIndex1) | (~v129(constB24, bitIndex1)) | (~v100(constB24)))),
% 48.35/31.43 inference(rewrite,[status(thm)],[])).
% 48.35/31.43 tff(4640,plain,
% 48.35/31.43 (((~![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))))),
% 48.35/31.43 inference(monotonicity,[status(thm)],[4639])).
% 48.35/31.43 tff(4641,plain,
% 48.35/31.43 (((~![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)))),
% 48.35/31.43 inference(transitivity,[status(thm)],[4640, 4638])).
% 48.35/31.43 tff(4642,plain,
% 48.35/31.43 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB24, bitIndex1) | (~v100(constB24)) | (~v129(constB24, bitIndex1)))),
% 48.35/31.43 inference(quant_inst,[status(thm)],[])).
% 48.35/31.43 tff(4643,plain,
% 48.35/31.43 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB24, bitIndex1) | (~v129(constB24, bitIndex1)) | (~v100(constB24))),
% 48.35/31.43 inference(modus_ponens,[status(thm)],[4642, 4641])).
% 48.35/31.43 tff(4644,plain,
% 48.35/31.43 (v90(constB24, bitIndex1) | (~v100(constB24))),
% 48.35/31.43 inference(unit_resolution,[status(thm)],[4643, 711, 4637])).
% 48.35/31.43 tff(4645,plain,
% 48.35/31.43 (v90(constB24, bitIndex1)),
% 48.35/31.43 inference(unit_resolution,[status(thm)],[4644, 4570])).
% 48.35/31.43 tff(4646,plain,
% 48.35/31.43 (((~![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))),
% 48.35/31.43 inference(rewrite,[status(thm)],[])).
% 48.35/31.43 tff(4647,plain,
% 48.35/31.43 (((~nextState(constB24, constB25)) | (~v90(constB24, bitIndex1)) | v100(constB25) | v90(constB25, bitIndex1)) <=> ((~v90(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, bitIndex1))),
% 48.35/31.43 inference(rewrite,[status(thm)],[])).
% 48.35/31.43 tff(4648,plain,
% 48.35/31.43 (((~![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)))),
% 48.35/31.43 inference(monotonicity,[status(thm)],[4647])).
% 48.35/31.43 tff(4649,plain,
% 48.35/31.43 (((~![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))),
% 48.35/31.43 inference(transitivity,[status(thm)],[4648, 4646])).
% 48.35/31.43 tff(4650,plain,
% 48.35/31.43 ((~![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))),
% 48.35/31.43 inference(quant_inst,[status(thm)],[])).
% 48.35/31.43 tff(4651,plain,
% 48.35/31.43 ((~![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)),
% 48.35/31.43 inference(modus_ponens,[status(thm)],[4650, 4649])).
% 48.35/31.43 tff(4652,plain,
% 48.35/31.43 ((~v90(constB24, bitIndex1)) | v100(constB25) | v90(constB25, bitIndex1)),
% 48.35/31.43 inference(unit_resolution,[status(thm)],[4651, 747, 4602])).
% 48.35/31.43 tff(4653,plain,
% 48.35/31.43 ((~v90(constB24, bitIndex1)) | v90(constB25, bitIndex1)),
% 48.35/31.43 inference(unit_resolution,[status(thm)],[4652, 4614])).
% 48.35/31.43 tff(4654,plain,
% 48.35/31.43 (v90(constB25, bitIndex1)),
% 48.35/31.43 inference(unit_resolution,[status(thm)],[4653, 4645])).
% 48.35/31.43 tff(4655,plain,
% 48.35/31.43 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB23)) | (~v130(constB23, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB23)) | (~v130(constB23, bitIndex0)))),
% 48.35/31.43 inference(rewrite,[status(thm)],[])).
% 48.35/31.43 tff(4656,plain,
% 48.35/31.43 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB23)) | (~v130(constB23, bitIndex0)))),
% 48.35/31.43 inference(quant_inst,[status(thm)],[])).
% 48.35/31.43 tff(4657,plain,
% 48.35/31.43 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB23)) | (~v130(constB23, bitIndex0))),
% 48.35/31.43 inference(modus_ponens,[status(thm)],[4656, 4655])).
% 48.35/31.43 tff(4658,plain,
% 48.35/31.43 (~v130(constB23, bitIndex0)),
% 48.35/31.43 inference(unit_resolution,[status(thm)],[4657, 975, 4501])).
% 48.35/31.43 tff(4659,plain,
% 48.35/31.43 (((~![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))),
% 48.35/31.43 inference(rewrite,[status(thm)],[])).
% 48.35/31.43 tff(4660,plain,
% 48.35/31.43 ((v26(constB23) | v130(constB23, bitIndex0) | (~v127(constB23, bitIndex0))) <=> ((~v127(constB23, bitIndex0)) | v26(constB23) | v130(constB23, bitIndex0))),
% 48.35/31.43 inference(rewrite,[status(thm)],[])).
% 48.35/31.43 tff(4661,plain,
% 48.35/31.43 (((~![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)))),
% 48.35/31.43 inference(monotonicity,[status(thm)],[4660])).
% 48.35/31.43 tff(4662,plain,
% 48.35/31.43 (((~![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))),
% 48.35/31.43 inference(transitivity,[status(thm)],[4661, 4659])).
% 48.35/31.43 tff(4663,plain,
% 48.35/31.43 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB23) | v130(constB23, bitIndex0) | (~v127(constB23, bitIndex0)))),
% 48.35/31.43 inference(quant_inst,[status(thm)],[])).
% 48.35/31.43 tff(4664,plain,
% 48.35/31.43 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB23, bitIndex0)) | v26(constB23) | v130(constB23, bitIndex0)),
% 48.35/31.43 inference(modus_ponens,[status(thm)],[4663, 4662])).
% 48.35/31.43 tff(4665,plain,
% 48.35/31.43 ((~v127(constB23, bitIndex0)) | v130(constB23, bitIndex0)),
% 48.35/31.43 inference(unit_resolution,[status(thm)],[4664, 524, 4578])).
% 48.35/31.43 tff(4666,plain,
% 48.35/31.43 (~v127(constB23, bitIndex0)),
% 48.35/31.43 inference(unit_resolution,[status(thm)],[4665, 4658])).
% 48.35/31.43 tff(4667,plain,
% 48.35/31.43 (((~![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)))),
% 48.35/31.43 inference(rewrite,[status(thm)],[])).
% 48.35/31.43 tff(4668,plain,
% 48.35/31.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB23, constB24)) | v127(constB23, bitIndex0) | (~v129(constB24, bitIndex0)))),
% 48.35/31.43 inference(quant_inst,[status(thm)],[])).
% 48.35/31.43 tff(4669,plain,
% 48.35/31.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB23, constB24)) | v127(constB23, bitIndex0) | (~v129(constB24, bitIndex0))),
% 48.35/31.43 inference(modus_ponens,[status(thm)],[4668, 4667])).
% 48.35/31.43 tff(4670,plain,
% 48.35/31.43 (v127(constB23, bitIndex0) | (~v129(constB24, bitIndex0))),
% 48.35/31.43 inference(unit_resolution,[status(thm)],[4669, 542, 4536])).
% 48.35/31.43 tff(4671,plain,
% 48.35/31.43 (~v129(constB24, bitIndex0)),
% 48.35/31.43 inference(unit_resolution,[status(thm)],[4670, 4666])).
% 48.35/31.43 tff(4672,plain,
% 48.35/31.43 (((~![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)))),
% 48.35/31.43 inference(rewrite,[status(thm)],[])).
% 48.35/31.43 tff(4673,plain,
% 48.35/31.43 (((~v90(constB24, bitIndex0)) | (~v100(constB24)) | v129(constB24, bitIndex0)) <=> ((~v90(constB24, bitIndex0)) | v129(constB24, bitIndex0) | (~v100(constB24)))),
% 48.35/31.43 inference(rewrite,[status(thm)],[])).
% 48.35/31.43 tff(4674,plain,
% 48.35/31.43 (((~![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))))),
% 48.35/31.43 inference(monotonicity,[status(thm)],[4673])).
% 48.35/31.43 tff(4675,plain,
% 48.35/31.43 (((~![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)))),
% 48.35/31.43 inference(transitivity,[status(thm)],[4674, 4672])).
% 48.35/31.43 tff(4676,plain,
% 48.35/31.43 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB24, bitIndex0)) | (~v100(constB24)) | v129(constB24, bitIndex0))),
% 48.35/31.43 inference(quant_inst,[status(thm)],[])).
% 48.35/31.43 tff(4677,plain,
% 48.35/31.43 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB24, bitIndex0)) | v129(constB24, bitIndex0) | (~v100(constB24))),
% 48.35/31.43 inference(modus_ponens,[status(thm)],[4676, 4675])).
% 48.35/31.43 tff(4678,plain,
% 48.35/31.43 ((~v90(constB24, bitIndex0)) | (~v100(constB24))),
% 48.35/31.43 inference(unit_resolution,[status(thm)],[4677, 557, 4671])).
% 48.35/31.43 tff(4679,plain,
% 48.35/31.43 (~v90(constB24, bitIndex0)),
% 48.35/31.43 inference(unit_resolution,[status(thm)],[4678, 4570])).
% 48.35/31.43 tff(4680,plain,
% 48.35/31.43 (((~![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)))),
% 48.35/31.43 inference(rewrite,[status(thm)],[])).
% 48.35/31.43 tff(4681,plain,
% 48.35/31.43 (((~nextState(constB24, constB25)) | v90(constB24, bitIndex0) | v100(constB25) | (~v90(constB25, bitIndex0))) <=> (v90(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, bitIndex0)))),
% 48.35/31.43 inference(rewrite,[status(thm)],[])).
% 48.35/31.43 tff(4682,plain,
% 48.35/31.43 (((~![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))))),
% 48.35/31.43 inference(monotonicity,[status(thm)],[4681])).
% 48.35/31.43 tff(4683,plain,
% 48.35/31.43 (((~![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)))),
% 48.35/31.43 inference(transitivity,[status(thm)],[4682, 4680])).
% 48.35/31.43 tff(4684,plain,
% 48.35/31.43 ((~![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)))),
% 48.35/31.43 inference(quant_inst,[status(thm)],[])).
% 48.35/31.43 tff(4685,plain,
% 48.35/31.43 ((~![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))),
% 48.35/31.43 inference(modus_ponens,[status(thm)],[4684, 4683])).
% 48.35/31.43 tff(4686,plain,
% 48.35/31.43 (v90(constB24, bitIndex0) | v100(constB25) | (~v90(constB25, bitIndex0))),
% 48.35/31.43 inference(unit_resolution,[status(thm)],[4685, 123, 4602])).
% 48.35/31.43 tff(4687,plain,
% 48.35/31.43 (v90(constB24, bitIndex0) | (~v90(constB25, bitIndex0))),
% 48.35/31.43 inference(unit_resolution,[status(thm)],[4686, 4614])).
% 48.35/31.43 tff(4688,plain,
% 48.35/31.43 (~v90(constB25, bitIndex0)),
% 48.35/31.43 inference(unit_resolution,[status(thm)],[4687, 4679])).
% 48.35/31.43 tff(4689,plain,
% 48.35/31.43 (((~![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))),
% 48.35/31.43 inference(rewrite,[status(thm)],[])).
% 48.35/31.43 tff(4690,plain,
% 48.35/31.43 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2)) | v125(constB25))),
% 48.35/31.43 inference(quant_inst,[status(thm)],[])).
% 48.35/31.43 tff(4691,plain,
% 48.35/31.43 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB25, bitIndex0) | (~v90(constB25, bitIndex1)) | (~v90(constB25, bitIndex2)) | v125(constB25)),
% 48.35/31.43 inference(modus_ponens,[status(thm)],[4690, 4689])).
% 48.35/31.43 tff(4692,plain,
% 48.35/31.43 (v125(constB25)),
% 48.35/31.43 inference(unit_resolution,[status(thm)],[4691, 1019, 4688, 4654, 4623])).
% 48.35/31.43 tff(4693,plain,
% 48.35/31.43 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB25) | (~v125(constB25)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB25) | (~v125(constB25)))),
% 48.35/31.43 inference(rewrite,[status(thm)],[])).
% 48.35/31.43 tff(4694,plain,
% 48.35/31.43 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB25) | (~v125(constB25)))),
% 48.35/31.43 inference(quant_inst,[status(thm)],[])).
% 48.35/31.43 tff(4695,plain,
% 48.35/31.43 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB25) | (~v125(constB25))),
% 48.35/31.43 inference(modus_ponens,[status(thm)],[4694, 4693])).
% 48.35/31.43 tff(4696,plain,
% 48.35/31.43 (v113(constB25)),
% 48.35/31.43 inference(unit_resolution,[status(thm)],[4695, 1031, 4692])).
% 48.35/31.43 tff(4697,assumption,(v26(constB25)), introduced(assumption)).
% 48.35/31.43 tff(4698,plain,
% 48.35/31.43 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB25))),
% 48.35/31.43 inference(quant_inst,[status(thm)],[])).
% 48.35/31.43 tff(4699,plain,
% 48.35/31.43 ($false),
% 48.35/31.43 inference(unit_resolution,[status(thm)],[4698, 16, 4697])).
% 48.35/31.43 tff(4700,plain,(~v26(constB25)), inference(lemma,lemma(discharge,[]))).
% 48.35/31.43 tff(4701,plain,
% 48.35/31.43 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB25) | v112(constB25) | (~v113(constB25)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB25) | v112(constB25) | (~v113(constB25)))),
% 48.35/31.43 inference(rewrite,[status(thm)],[])).
% 48.35/31.43 tff(4702,plain,
% 48.35/31.43 ((v26(constB25) | (~v113(constB25)) | v112(constB25)) <=> (v26(constB25) | v112(constB25) | (~v113(constB25)))),
% 48.35/31.43 inference(rewrite,[status(thm)],[])).
% 48.35/31.43 tff(4703,plain,
% 48.35/31.43 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB25) | (~v113(constB25)) | v112(constB25))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB25) | v112(constB25) | (~v113(constB25))))),
% 48.35/31.43 inference(monotonicity,[status(thm)],[4702])).
% 48.35/31.43 tff(4704,plain,
% 48.35/31.43 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB25) | (~v113(constB25)) | v112(constB25))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB25) | v112(constB25) | (~v113(constB25)))),
% 48.35/31.43 inference(transitivity,[status(thm)],[4703, 4701])).
% 48.35/31.43 tff(4705,plain,
% 48.35/31.43 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB25) | (~v113(constB25)) | v112(constB25))),
% 48.35/31.43 inference(quant_inst,[status(thm)],[])).
% 48.35/31.43 tff(4706,plain,
% 48.35/31.43 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB25) | v112(constB25) | (~v113(constB25))),
% 48.35/31.43 inference(modus_ponens,[status(thm)],[4705, 4704])).
% 48.35/31.43 tff(4707,plain,
% 48.35/31.43 (v112(constB25) | (~v113(constB25))),
% 48.35/31.43 inference(unit_resolution,[status(thm)],[4706, 224, 4700])).
% 48.35/31.43 tff(4708,plain,
% 48.35/31.43 (v112(constB25)),
% 48.35/31.43 inference(unit_resolution,[status(thm)],[4707, 4696])).
% 48.35/31.43 tff(4709,plain,
% 48.35/31.43 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB25) | (~v112(constB25)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB25) | (~v112(constB25)))),
% 48.35/31.43 inference(rewrite,[status(thm)],[])).
% 48.35/31.43 tff(4710,plain,
% 48.35/31.43 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB25) | (~v112(constB25)))),
% 48.35/31.43 inference(quant_inst,[status(thm)],[])).
% 48.35/31.43 tff(4711,plain,
% 48.35/31.43 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB25) | (~v112(constB25))),
% 48.35/31.43 inference(modus_ponens,[status(thm)],[4710, 4709])).
% 48.35/31.43 tff(4712,plain,
% 48.35/31.43 (v108(constB25)),
% 48.35/31.43 inference(unit_resolution,[status(thm)],[4711, 236, 4708])).
% 48.35/31.43 tff(4713,plain,
% 48.35/31.43 (nextState(constB25, constB26) <=> nextState(constB25, constB26)),
% 48.35/31.43 inference(rewrite,[status(thm)],[])).
% 48.35/31.43 tff(4714,axiom,(nextState(constB25, constB26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_25_1')).
% 48.35/31.43 tff(4715,plain,
% 48.35/31.43 (nextState(constB25, constB26)),
% 48.35/31.43 inference(modus_ponens,[status(thm)],[4714, 4713])).
% 48.35/31.43 tff(4716,plain,
% 48.35/31.43 (((~![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)))),
% 48.35/31.43 inference(rewrite,[status(thm)],[])).
% 48.35/31.43 tff(4717,plain,
% 48.35/31.43 (((~nextState(constB25, constB26)) | (~v108(constB25)) | v110(constB26)) <=> ((~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25)))),
% 48.35/31.43 inference(rewrite,[status(thm)],[])).
% 48.35/31.43 tff(4718,plain,
% 48.35/31.43 (((~![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))))),
% 48.35/31.43 inference(monotonicity,[status(thm)],[4717])).
% 48.35/31.43 tff(4719,plain,
% 48.35/31.43 (((~![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)))),
% 48.35/31.43 inference(transitivity,[status(thm)],[4718, 4716])).
% 48.35/31.43 tff(4720,plain,
% 48.35/31.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB25, constB26)) | (~v108(constB25)) | v110(constB26))),
% 48.35/31.43 inference(quant_inst,[status(thm)],[])).
% 48.35/31.43 tff(4721,plain,
% 48.35/31.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25))),
% 48.35/31.43 inference(modus_ponens,[status(thm)],[4720, 4719])).
% 48.35/31.43 tff(4722,plain,
% 48.35/31.43 (v110(constB26) | (~v108(constB25))),
% 48.35/31.43 inference(unit_resolution,[status(thm)],[4721, 253, 4715])).
% 48.35/31.43 tff(4723,plain,
% 48.35/31.43 (v110(constB26)),
% 48.35/31.43 inference(unit_resolution,[status(thm)],[4722, 4712])).
% 48.35/31.43 tff(4724,plain,
% 48.35/31.43 (((~![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)))),
% 48.35/31.43 inference(rewrite,[status(thm)],[])).
% 48.35/31.43 tff(4725,plain,
% 48.35/31.43 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB25) | (~nextState(constB25, constB26)) | (~v104(constB26)))),
% 48.35/31.43 inference(quant_inst,[status(thm)],[])).
% 48.35/31.43 tff(4726,plain,
% 48.35/31.43 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB25) | (~nextState(constB25, constB26)) | (~v104(constB26))),
% 48.35/31.43 inference(modus_ponens,[status(thm)],[4725, 4724])).
% 48.35/31.43 tff(4727,plain,
% 48.35/31.43 (~v104(constB26)),
% 48.35/31.43 inference(unit_resolution,[status(thm)],[4726, 271, 4715, 4599])).
% 48.35/31.43 tff(4728,plain,
% 48.35/31.43 (((~![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))),
% 48.35/31.43 inference(rewrite,[status(thm)],[])).
% 48.35/31.43 tff(4729,plain,
% 48.35/31.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB25, constB26)) | v102(constB26) | v104(constB26))),
% 48.35/31.43 inference(quant_inst,[status(thm)],[])).
% 48.35/31.43 tff(4730,plain,
% 48.35/31.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB25, constB26)) | v102(constB26) | v104(constB26)),
% 48.35/31.43 inference(modus_ponens,[status(thm)],[4729, 4728])).
% 48.35/31.43 tff(4731,plain,
% 48.35/31.43 (v102(constB26) | v104(constB26)),
% 48.35/31.43 inference(unit_resolution,[status(thm)],[4730, 285, 4715])).
% 48.35/31.43 tff(4732,plain,
% 48.35/31.43 (v102(constB26)),
% 48.35/31.43 inference(unit_resolution,[status(thm)],[4731, 4727])).
% 48.35/31.43 tff(4733,plain,
% 48.35/31.43 (v1(constB26) <=> v1(constB26)),
% 48.35/31.43 inference(rewrite,[status(thm)],[])).
% 48.35/31.43 tff(4734,axiom,(v1(constB26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_26_1')).
% 48.35/31.43 tff(4735,plain,
% 48.35/31.43 (v1(constB26)),
% 48.35/31.43 inference(modus_ponens,[status(thm)],[4734, 4733])).
% 48.35/31.43 tff(4736,plain,
% 48.35/31.43 (((~![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)))),
% 48.35/31.43 inference(rewrite,[status(thm)],[])).
% 48.35/31.43 tff(4737,plain,
% 48.35/31.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB25, constB26)) | v101(constB26) | (~v102(constB26)) | (~v1(constB26)))),
% 48.35/31.43 inference(quant_inst,[status(thm)],[])).
% 48.35/31.43 tff(4738,plain,
% 48.35/31.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB25, constB26)) | v101(constB26) | (~v102(constB26)) | (~v1(constB26))),
% 48.35/31.43 inference(modus_ponens,[status(thm)],[4737, 4736])).
% 48.35/31.43 tff(4739,plain,
% 48.35/31.43 (v101(constB26) | (~v102(constB26))),
% 48.35/31.43 inference(unit_resolution,[status(thm)],[4738, 303, 4715, 4735])).
% 48.35/31.43 tff(4740,plain,
% 48.35/31.43 (v101(constB26)),
% 48.35/31.43 inference(unit_resolution,[status(thm)],[4739, 4732])).
% 48.35/31.43 tff(4741,plain,
% 48.35/31.43 (((~![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)))),
% 48.35/31.44 inference(rewrite,[status(thm)],[])).
% 48.35/31.44 tff(4742,plain,
% 48.35/31.44 (((~nextState(constB25, constB26)) | (~v101(constB26)) | (~v110(constB26)) | v100(constB26)) <=> ((~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26)))),
% 48.35/31.44 inference(rewrite,[status(thm)],[])).
% 48.35/31.44 tff(4743,plain,
% 48.35/31.44 (((~![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))))),
% 48.35/31.44 inference(monotonicity,[status(thm)],[4742])).
% 48.35/31.44 tff(4744,plain,
% 48.35/31.44 (((~![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)))),
% 48.35/31.44 inference(transitivity,[status(thm)],[4743, 4741])).
% 48.35/31.44 tff(4745,plain,
% 48.35/31.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB25, constB26)) | (~v101(constB26)) | (~v110(constB26)) | v100(constB26))),
% 48.35/31.44 inference(quant_inst,[status(thm)],[])).
% 48.35/31.44 tff(4746,plain,
% 48.35/31.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26))),
% 48.35/31.44 inference(modus_ponens,[status(thm)],[4745, 4744])).
% 48.35/31.44 tff(4747,plain,
% 48.35/31.44 (v100(constB26) | (~v101(constB26)) | (~v110(constB26))),
% 48.35/31.44 inference(unit_resolution,[status(thm)],[4746, 318, 4715])).
% 48.35/31.44 tff(4748,plain,
% 48.35/31.44 (v100(constB26) | (~v110(constB26))),
% 48.35/31.44 inference(unit_resolution,[status(thm)],[4747, 4740])).
% 48.35/31.44 tff(4749,plain,
% 48.35/31.44 (v100(constB26)),
% 48.35/31.44 inference(unit_resolution,[status(thm)],[4748, 4723])).
% 48.35/31.44 tff(4750,plain,
% 48.35/31.44 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB25, bitIndex2)) | (~v121(constB25)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB25, bitIndex2)) | (~v121(constB25)))),
% 48.35/31.44 inference(rewrite,[status(thm)],[])).
% 48.35/31.44 tff(4751,plain,
% 48.35/31.44 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB25, bitIndex2)) | (~v121(constB25)))),
% 48.35/31.44 inference(quant_inst,[status(thm)],[])).
% 48.35/31.44 tff(4752,plain,
% 48.35/31.44 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB25, bitIndex2)) | (~v121(constB25))),
% 48.35/31.44 inference(modus_ponens,[status(thm)],[4751, 4750])).
% 48.35/31.44 tff(4753,plain,
% 48.35/31.44 (~v121(constB25)),
% 48.35/31.44 inference(unit_resolution,[status(thm)],[4752, 883, 4623])).
% 48.35/31.44 tff(4754,plain,
% 48.35/31.44 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB25, bitIndex1)) | (~v120(constB25)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB25, bitIndex1)) | (~v120(constB25)))),
% 48.35/31.44 inference(rewrite,[status(thm)],[])).
% 48.35/31.44 tff(4755,plain,
% 48.35/31.44 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB25, bitIndex1)) | (~v120(constB25)))),
% 48.35/31.44 inference(quant_inst,[status(thm)],[])).
% 48.35/31.44 tff(4756,plain,
% 48.35/31.44 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB25, bitIndex1)) | (~v120(constB25))),
% 48.35/31.44 inference(modus_ponens,[status(thm)],[4755, 4754])).
% 48.35/31.44 tff(4757,plain,
% 48.35/31.44 (~v120(constB25)),
% 48.35/31.44 inference(unit_resolution,[status(thm)],[4756, 2312, 4654])).
% 48.35/31.44 tff(4758,plain,
% 48.35/31.44 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB25, bitIndex2)) | (~v122(constB25)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB25, bitIndex2)) | (~v122(constB25)))),
% 48.35/31.44 inference(rewrite,[status(thm)],[])).
% 48.35/31.44 tff(4759,plain,
% 48.35/31.44 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB25, bitIndex2)) | (~v122(constB25)))),
% 48.35/31.44 inference(quant_inst,[status(thm)],[])).
% 48.35/31.44 tff(4760,plain,
% 48.35/31.44 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB25, bitIndex2)) | (~v122(constB25))),
% 48.35/31.44 inference(modus_ponens,[status(thm)],[4759, 4758])).
% 48.35/31.44 tff(4761,plain,
% 48.35/31.44 (~v122(constB25)),
% 48.35/31.44 inference(unit_resolution,[status(thm)],[4760, 894, 4623])).
% 48.35/31.44 tff(4762,plain,
% 48.35/31.44 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB25, bitIndex1)) | (~v124(constB25)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB25, bitIndex1)) | (~v124(constB25)))),
% 48.35/31.44 inference(rewrite,[status(thm)],[])).
% 48.35/31.44 tff(4763,plain,
% 48.35/31.44 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB25, bitIndex1)) | (~v124(constB25)))),
% 48.35/31.44 inference(quant_inst,[status(thm)],[])).
% 48.35/31.44 tff(4764,plain,
% 48.35/31.44 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB25, bitIndex1)) | (~v124(constB25))),
% 48.35/31.44 inference(modus_ponens,[status(thm)],[4763, 4762])).
% 48.35/31.44 tff(4765,plain,
% 48.35/31.44 (~v124(constB25)),
% 48.35/31.44 inference(unit_resolution,[status(thm)],[4764, 763, 4654])).
% 48.35/31.44 tff(4766,plain,
% 48.35/31.44 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB25)) | (~v90(constB25, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB25)) | (~v90(constB25, bitIndex1)))),
% 48.35/31.44 inference(rewrite,[status(thm)],[])).
% 48.35/31.44 tff(4767,plain,
% 48.35/31.44 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB25)) | (~v90(constB25, bitIndex1)))),
% 48.35/31.44 inference(quant_inst,[status(thm)],[])).
% 48.35/31.44 tff(4768,plain,
% 48.35/31.44 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB25)) | (~v90(constB25, bitIndex1))),
% 48.35/31.44 inference(modus_ponens,[status(thm)],[4767, 4766])).
% 48.35/31.44 tff(4769,plain,
% 48.35/31.44 (~v119(constB25)),
% 48.35/31.44 inference(unit_resolution,[status(thm)],[4768, 2293, 4654])).
% 48.35/31.44 tff(4770,plain,
% 48.35/31.44 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB25, bitIndex1)) | (~v123(constB25)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB25, bitIndex1)) | (~v123(constB25)))),
% 48.35/31.44 inference(rewrite,[status(thm)],[])).
% 48.35/31.44 tff(4771,plain,
% 48.35/31.44 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB25, bitIndex1)) | (~v123(constB25)))),
% 48.35/31.44 inference(quant_inst,[status(thm)],[])).
% 48.35/31.44 tff(4772,plain,
% 48.35/31.44 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB25, bitIndex1)) | (~v123(constB25))),
% 48.35/31.44 inference(modus_ponens,[status(thm)],[4771, 4770])).
% 48.35/31.44 tff(4773,plain,
% 48.35/31.44 (~v123(constB25)),
% 48.35/31.44 inference(unit_resolution,[status(thm)],[4772, 774, 4654])).
% 48.35/31.44 tff(4774,plain,
% 48.35/31.44 (((~![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)))),
% 48.35/31.44 inference(rewrite,[status(thm)],[])).
% 48.35/31.44 tff(4775,plain,
% 48.35/31.44 ((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)))),
% 48.35/31.44 inference(rewrite,[status(thm)],[])).
% 48.35/31.44 tff(4776,plain,
% 48.35/31.44 (((~![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))))),
% 48.35/31.44 inference(monotonicity,[status(thm)],[4775])).
% 48.35/31.44 tff(4777,plain,
% 48.35/31.44 (((~![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)))),
% 48.35/31.44 inference(transitivity,[status(thm)],[4776, 4774])).
% 48.35/31.44 tff(4778,plain,
% 48.35/31.44 ((~![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)))),
% 48.35/31.44 inference(quant_inst,[status(thm)],[])).
% 48.35/31.44 tff(4779,plain,
% 48.35/31.44 ((~![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))),
% 48.35/31.44 inference(modus_ponens,[status(thm)],[4778, 4777])).
% 48.35/31.44 tff(4780,plain,
% 48.35/31.44 (~v130(constB25, bitIndex2)),
% 48.35/31.44 inference(unit_resolution,[status(thm)],[4779, 1192, 4773, 4769, 4765, 4761, 4757, 4753])).
% 48.35/31.44 tff(4781,assumption,(v127(constB25, bitIndex2)), introduced(assumption)).
% 48.35/31.44 tff(4782,assumption,(~v130(constB25, bitIndex2)), introduced(assumption)).
% 48.35/31.44 tff(4783,plain,
% 48.35/31.44 (((~![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))),
% 48.35/31.44 inference(rewrite,[status(thm)],[])).
% 48.35/31.44 tff(4784,plain,
% 48.35/31.44 ((v26(constB25) | v130(constB25, bitIndex2) | (~v127(constB25, bitIndex2))) <=> ((~v127(constB25, bitIndex2)) | v26(constB25) | v130(constB25, bitIndex2))),
% 48.35/31.44 inference(rewrite,[status(thm)],[])).
% 48.35/31.44 tff(4785,plain,
% 48.35/31.44 (((~![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)))),
% 48.35/31.44 inference(monotonicity,[status(thm)],[4784])).
% 48.35/31.44 tff(4786,plain,
% 48.35/31.44 (((~![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))),
% 48.35/31.44 inference(transitivity,[status(thm)],[4785, 4783])).
% 48.35/31.44 tff(4787,plain,
% 48.35/31.44 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB25) | v130(constB25, bitIndex2) | (~v127(constB25, bitIndex2)))),
% 48.35/31.44 inference(quant_inst,[status(thm)],[])).
% 48.35/31.44 tff(4788,plain,
% 48.35/31.44 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB25, bitIndex2)) | v26(constB25) | v130(constB25, bitIndex2)),
% 48.35/31.44 inference(modus_ponens,[status(thm)],[4787, 4786])).
% 48.35/31.44 tff(4789,plain,
% 48.35/31.44 ((~v127(constB25, bitIndex2)) | v26(constB25)),
% 48.35/31.44 inference(unit_resolution,[status(thm)],[4788, 1210, 4782])).
% 48.35/31.44 tff(4790,plain,
% 48.35/31.44 (v26(constB25)),
% 48.35/31.44 inference(unit_resolution,[status(thm)],[4789, 4781])).
% 48.35/31.44 tff(4791,plain,
% 48.35/31.44 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB25)) | (~v127(constB25, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB25)) | (~v127(constB25, bitIndex2)))),
% 48.35/31.44 inference(rewrite,[status(thm)],[])).
% 48.35/31.44 tff(4792,plain,
% 48.35/31.44 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB25)) | (~v127(constB25, bitIndex2)))),
% 48.35/31.44 inference(quant_inst,[status(thm)],[])).
% 48.35/31.44 tff(4793,plain,
% 48.35/31.44 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB25)) | (~v127(constB25, bitIndex2))),
% 48.35/31.44 inference(modus_ponens,[status(thm)],[4792, 4791])).
% 48.35/31.44 tff(4794,plain,
% 48.35/31.44 ($false),
% 48.35/31.44 inference(unit_resolution,[status(thm)],[4793, 1228, 4781, 4790])).
% 48.35/31.44 tff(4795,plain,((~v127(constB25, bitIndex2)) | v130(constB25, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 48.35/31.44 tff(4796,plain,
% 48.35/31.44 (~v127(constB25, bitIndex2)),
% 48.35/31.44 inference(unit_resolution,[status(thm)],[4795, 4780])).
% 48.35/31.44 tff(4797,plain,
% 48.35/31.44 (((~![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)))),
% 48.35/31.44 inference(rewrite,[status(thm)],[])).
% 48.35/31.44 tff(4798,plain,
% 48.35/31.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB25, constB26)) | v127(constB25, bitIndex2) | (~v129(constB26, bitIndex2)))),
% 48.35/31.44 inference(quant_inst,[status(thm)],[])).
% 48.35/31.44 tff(4799,plain,
% 48.35/31.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB25, constB26)) | v127(constB25, bitIndex2) | (~v129(constB26, bitIndex2))),
% 48.35/31.44 inference(modus_ponens,[status(thm)],[4798, 4797])).
% 48.35/31.44 tff(4800,plain,
% 48.35/31.44 (v127(constB25, bitIndex2) | (~v129(constB26, bitIndex2))),
% 48.35/31.44 inference(unit_resolution,[status(thm)],[4799, 1243, 4715])).
% 48.35/31.44 tff(4801,plain,
% 48.35/31.44 (~v129(constB26, bitIndex2)),
% 48.35/31.44 inference(unit_resolution,[status(thm)],[4800, 4796])).
% 48.35/31.44 tff(4802,plain,
% 48.35/31.44 (((~![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)))),
% 48.35/31.44 inference(rewrite,[status(thm)],[])).
% 48.35/31.44 tff(4803,plain,
% 48.35/31.44 (((~v90(constB26, bitIndex2)) | (~v100(constB26)) | v129(constB26, bitIndex2)) <=> ((~v90(constB26, bitIndex2)) | v129(constB26, bitIndex2) | (~v100(constB26)))),
% 48.35/31.44 inference(rewrite,[status(thm)],[])).
% 48.35/31.44 tff(4804,plain,
% 48.35/31.44 (((~![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))))),
% 48.35/31.44 inference(monotonicity,[status(thm)],[4803])).
% 48.35/31.44 tff(4805,plain,
% 48.35/31.44 (((~![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)))),
% 48.35/31.44 inference(transitivity,[status(thm)],[4804, 4802])).
% 48.35/31.44 tff(4806,plain,
% 48.35/31.44 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB26, bitIndex2)) | (~v100(constB26)) | v129(constB26, bitIndex2))),
% 48.35/31.44 inference(quant_inst,[status(thm)],[])).
% 48.35/31.44 tff(4807,plain,
% 48.35/31.44 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB26, bitIndex2)) | v129(constB26, bitIndex2) | (~v100(constB26))),
% 48.35/31.44 inference(modus_ponens,[status(thm)],[4806, 4805])).
% 48.35/31.44 tff(4808,plain,
% 48.35/31.44 ((~v90(constB26, bitIndex2)) | (~v100(constB26))),
% 48.35/31.44 inference(unit_resolution,[status(thm)],[4807, 1258, 4801])).
% 48.35/31.44 tff(4809,plain,
% 48.35/31.44 (~v90(constB26, bitIndex2)),
% 48.35/31.44 inference(unit_resolution,[status(thm)],[4808, 4749])).
% 48.35/31.44 tff(4810,plain,
% 48.35/31.44 ((~v1(constB27)) <=> (~v1(constB27))),
% 48.35/31.44 inference(rewrite,[status(thm)],[])).
% 48.35/31.44 tff(4811,axiom,(~v1(constB27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_27_1_1')).
% 48.35/31.44 tff(4812,plain,
% 48.35/31.44 (~v1(constB27)),
% 48.35/31.44 inference(modus_ponens,[status(thm)],[4811, 4810])).
% 48.35/31.44 tff(4813,plain,
% 48.35/31.44 (nextState(constB26, constB27) <=> nextState(constB26, constB27)),
% 48.35/31.44 inference(rewrite,[status(thm)],[])).
% 48.35/31.44 tff(4814,axiom,(nextState(constB26, constB27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_26_1')).
% 48.35/31.44 tff(4815,plain,
% 48.35/31.44 (nextState(constB26, constB27)),
% 48.35/31.44 inference(modus_ponens,[status(thm)],[4814, 4813])).
% 48.35/31.44 tff(4816,plain,
% 48.35/31.44 (((~![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)))),
% 48.35/31.44 inference(rewrite,[status(thm)],[])).
% 48.35/31.44 tff(4817,plain,
% 48.35/31.44 (((~nextState(constB26, constB27)) | (~v101(constB27)) | v1(constB27)) <=> (v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27)))),
% 48.35/31.44 inference(rewrite,[status(thm)],[])).
% 48.35/31.44 tff(4818,plain,
% 48.35/31.44 (((~![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))))),
% 48.35/31.44 inference(monotonicity,[status(thm)],[4817])).
% 48.35/31.44 tff(4819,plain,
% 48.35/31.44 (((~![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)))),
% 48.35/31.44 inference(transitivity,[status(thm)],[4818, 4816])).
% 48.35/31.44 tff(4820,plain,
% 48.35/31.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB26, constB27)) | (~v101(constB27)) | v1(constB27))),
% 48.35/31.44 inference(quant_inst,[status(thm)],[])).
% 48.35/31.44 tff(4821,plain,
% 48.35/31.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27))),
% 48.35/31.44 inference(modus_ponens,[status(thm)],[4820, 4819])).
% 48.35/31.44 tff(4822,plain,
% 48.35/31.44 (~v101(constB27)),
% 48.35/31.44 inference(unit_resolution,[status(thm)],[4821, 49, 4815, 4812])).
% 48.35/31.44 tff(4823,plain,
% 48.35/31.44 (((~![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)))),
% 48.35/31.44 inference(rewrite,[status(thm)],[])).
% 48.35/31.44 tff(4824,plain,
% 48.35/31.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB26, constB27)) | v101(constB27) | (~v100(constB27)))),
% 48.35/31.44 inference(quant_inst,[status(thm)],[])).
% 48.35/31.44 tff(4825,plain,
% 48.35/31.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB26, constB27)) | v101(constB27) | (~v100(constB27))),
% 48.35/31.44 inference(modus_ponens,[status(thm)],[4824, 4823])).
% 48.35/31.44 tff(4826,plain,
% 48.35/31.44 (v101(constB27) | (~v100(constB27))),
% 48.35/31.44 inference(unit_resolution,[status(thm)],[4825, 66, 4815])).
% 48.35/31.44 tff(4827,plain,
% 48.35/31.44 (~v100(constB27)),
% 48.35/31.44 inference(unit_resolution,[status(thm)],[4826, 4822])).
% 48.35/31.44 tff(4828,plain,
% 48.35/31.44 (((~![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)))),
% 48.35/31.44 inference(rewrite,[status(thm)],[])).
% 48.35/31.44 tff(4829,plain,
% 48.35/31.44 (((~nextState(constB26, constB27)) | v90(constB26, bitIndex2) | v100(constB27) | (~v90(constB27, bitIndex2))) <=> (v90(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex2)))),
% 48.35/31.44 inference(rewrite,[status(thm)],[])).
% 48.35/31.44 tff(4830,plain,
% 48.35/31.44 (((~![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))))),
% 48.35/31.44 inference(monotonicity,[status(thm)],[4829])).
% 48.35/31.44 tff(4831,plain,
% 48.35/31.44 (((~![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)))),
% 48.35/31.44 inference(transitivity,[status(thm)],[4830, 4828])).
% 48.35/31.44 tff(4832,plain,
% 48.35/31.44 ((~![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)))),
% 48.35/31.44 inference(quant_inst,[status(thm)],[])).
% 48.35/31.44 tff(4833,plain,
% 48.35/31.44 ((~![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))),
% 48.35/31.44 inference(modus_ponens,[status(thm)],[4832, 4831])).
% 48.35/31.44 tff(4834,plain,
% 48.35/31.44 (v90(constB26, bitIndex2) | v100(constB27) | (~v90(constB27, bitIndex2))),
% 48.35/31.44 inference(unit_resolution,[status(thm)],[4833, 81, 4815])).
% 48.35/31.44 tff(4835,plain,
% 48.35/31.44 (v90(constB26, bitIndex2) | (~v90(constB27, bitIndex2))),
% 48.35/31.44 inference(unit_resolution,[status(thm)],[4834, 4827])).
% 48.35/31.44 tff(4836,plain,
% 48.35/31.44 (~v90(constB27, bitIndex2)),
% 48.35/31.44 inference(unit_resolution,[status(thm)],[4835, 4809])).
% 48.35/31.44 tff(4837,plain,
% 48.35/31.44 (((~![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)))),
% 48.35/31.44 inference(rewrite,[status(thm)],[])).
% 48.35/31.44 tff(4838,plain,
% 48.35/31.44 ((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)))),
% 48.35/31.44 inference(rewrite,[status(thm)],[])).
% 48.35/31.44 tff(4839,plain,
% 48.35/31.44 (((~![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))))),
% 48.35/31.44 inference(monotonicity,[status(thm)],[4838])).
% 48.35/31.44 tff(4840,plain,
% 48.35/31.44 (((~![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)))),
% 48.35/31.44 inference(transitivity,[status(thm)],[4839, 4837])).
% 48.35/31.44 tff(4841,plain,
% 48.35/31.44 ((~![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)))),
% 48.35/31.44 inference(quant_inst,[status(thm)],[])).
% 48.35/31.44 tff(4842,plain,
% 48.35/31.44 ((~![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))),
% 48.35/31.44 inference(modus_ponens,[status(thm)],[4841, 4840])).
% 48.35/31.44 tff(4843,plain,
% 48.35/31.44 (~v130(constB25, bitIndex1)),
% 48.35/31.44 inference(unit_resolution,[status(thm)],[4842, 1143, 4773, 4769, 4765, 4761, 4757, 4753])).
% 48.35/31.44 tff(4844,plain,
% 48.35/31.44 (((~![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))),
% 48.35/31.44 inference(rewrite,[status(thm)],[])).
% 48.35/31.44 tff(4845,plain,
% 48.35/31.44 ((v26(constB25) | v130(constB25, bitIndex1) | (~v127(constB25, bitIndex1))) <=> ((~v127(constB25, bitIndex1)) | v26(constB25) | v130(constB25, bitIndex1))),
% 48.35/31.44 inference(rewrite,[status(thm)],[])).
% 48.35/31.44 tff(4846,plain,
% 48.35/31.44 (((~![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)))),
% 48.35/31.44 inference(monotonicity,[status(thm)],[4845])).
% 48.35/31.44 tff(4847,plain,
% 48.35/31.44 (((~![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))),
% 48.35/31.45 inference(transitivity,[status(thm)],[4846, 4844])).
% 48.35/31.45 tff(4848,plain,
% 48.35/31.45 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB25) | v130(constB25, bitIndex1) | (~v127(constB25, bitIndex1)))),
% 48.35/31.45 inference(quant_inst,[status(thm)],[])).
% 48.35/31.45 tff(4849,plain,
% 48.35/31.45 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB25, bitIndex1)) | v26(constB25) | v130(constB25, bitIndex1)),
% 48.35/31.45 inference(modus_ponens,[status(thm)],[4848, 4847])).
% 48.35/31.45 tff(4850,plain,
% 48.35/31.45 ((~v127(constB25, bitIndex1)) | v130(constB25, bitIndex1)),
% 48.35/31.45 inference(unit_resolution,[status(thm)],[4849, 450, 4700])).
% 48.35/31.45 tff(4851,plain,
% 48.35/31.45 (~v127(constB25, bitIndex1)),
% 48.35/31.45 inference(unit_resolution,[status(thm)],[4850, 4843])).
% 48.35/31.45 tff(4852,plain,
% 48.35/31.45 (((~![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)))),
% 48.35/31.45 inference(rewrite,[status(thm)],[])).
% 48.35/31.45 tff(4853,plain,
% 48.35/31.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB25, constB26)) | v127(constB25, bitIndex1) | (~v129(constB26, bitIndex1)))),
% 48.35/31.45 inference(quant_inst,[status(thm)],[])).
% 48.35/31.45 tff(4854,plain,
% 48.35/31.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB25, constB26)) | v127(constB25, bitIndex1) | (~v129(constB26, bitIndex1))),
% 48.35/31.45 inference(modus_ponens,[status(thm)],[4853, 4852])).
% 48.35/31.45 tff(4855,plain,
% 48.35/31.45 (v127(constB25, bitIndex1) | (~v129(constB26, bitIndex1))),
% 48.35/31.45 inference(unit_resolution,[status(thm)],[4854, 468, 4715])).
% 48.35/31.45 tff(4856,plain,
% 48.35/31.45 (~v129(constB26, bitIndex1)),
% 48.35/31.45 inference(unit_resolution,[status(thm)],[4855, 4851])).
% 48.35/31.45 tff(4857,plain,
% 48.35/31.45 (((~![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)))),
% 48.35/31.45 inference(rewrite,[status(thm)],[])).
% 48.35/31.45 tff(4858,plain,
% 48.35/31.45 (((~v90(constB26, bitIndex1)) | (~v100(constB26)) | v129(constB26, bitIndex1)) <=> ((~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1) | (~v100(constB26)))),
% 48.35/31.45 inference(rewrite,[status(thm)],[])).
% 48.35/31.45 tff(4859,plain,
% 48.35/31.45 (((~![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))))),
% 48.35/31.45 inference(monotonicity,[status(thm)],[4858])).
% 48.35/31.45 tff(4860,plain,
% 48.35/31.45 (((~![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)))),
% 48.35/31.45 inference(transitivity,[status(thm)],[4859, 4857])).
% 48.35/31.45 tff(4861,plain,
% 48.35/31.45 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB26, bitIndex1)) | (~v100(constB26)) | v129(constB26, bitIndex1))),
% 48.35/31.45 inference(quant_inst,[status(thm)],[])).
% 48.35/31.45 tff(4862,plain,
% 48.35/31.45 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1) | (~v100(constB26))),
% 48.35/31.45 inference(modus_ponens,[status(thm)],[4861, 4860])).
% 48.35/31.45 tff(4863,plain,
% 48.35/31.45 ((~v90(constB26, bitIndex1)) | (~v100(constB26))),
% 48.35/31.45 inference(unit_resolution,[status(thm)],[4862, 483, 4856])).
% 48.35/31.45 tff(4864,plain,
% 48.35/31.45 (~v90(constB26, bitIndex1)),
% 48.35/31.45 inference(unit_resolution,[status(thm)],[4863, 4749])).
% 48.35/31.45 tff(4865,plain,
% 48.35/31.45 (((~![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)))),
% 48.35/31.45 inference(rewrite,[status(thm)],[])).
% 48.35/31.45 tff(4866,plain,
% 48.35/31.45 (((~nextState(constB26, constB27)) | v90(constB26, bitIndex1) | v100(constB27) | (~v90(constB27, bitIndex1))) <=> (v90(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex1)))),
% 48.35/31.45 inference(rewrite,[status(thm)],[])).
% 48.35/31.45 tff(4867,plain,
% 48.35/31.45 (((~![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))))),
% 48.35/31.45 inference(monotonicity,[status(thm)],[4866])).
% 48.35/31.45 tff(4868,plain,
% 48.35/31.45 (((~![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)))),
% 48.35/31.45 inference(transitivity,[status(thm)],[4867, 4865])).
% 48.35/31.45 tff(4869,plain,
% 48.35/31.45 ((~![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)))),
% 48.35/31.45 inference(quant_inst,[status(thm)],[])).
% 48.35/31.45 tff(4870,plain,
% 48.35/31.45 ((~![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))),
% 48.35/31.45 inference(modus_ponens,[status(thm)],[4869, 4868])).
% 48.35/31.45 tff(4871,plain,
% 48.35/31.45 (v90(constB26, bitIndex1) | v100(constB27) | (~v90(constB27, bitIndex1))),
% 48.35/31.45 inference(unit_resolution,[status(thm)],[4870, 102, 4815])).
% 48.35/31.45 tff(4872,plain,
% 48.35/31.45 (v90(constB26, bitIndex1) | (~v90(constB27, bitIndex1))),
% 48.35/31.45 inference(unit_resolution,[status(thm)],[4871, 4827])).
% 48.35/31.45 tff(4873,plain,
% 48.35/31.45 (~v90(constB27, bitIndex1)),
% 48.35/31.45 inference(unit_resolution,[status(thm)],[4872, 4864])).
% 48.35/31.45 tff(4874,plain,
% 48.35/31.45 (((~![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))),
% 48.35/31.45 inference(rewrite,[status(thm)],[])).
% 48.35/31.45 tff(4875,plain,
% 48.35/31.45 ((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))),
% 48.35/31.45 inference(rewrite,[status(thm)],[])).
% 48.35/31.45 tff(4876,plain,
% 48.35/31.45 (((~![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)))),
% 48.35/31.45 inference(monotonicity,[status(thm)],[4875])).
% 48.35/31.45 tff(4877,plain,
% 48.35/31.45 (((~![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))),
% 48.35/31.45 inference(transitivity,[status(thm)],[4876, 4874])).
% 48.35/31.45 tff(4878,plain,
% 48.35/31.45 ((~![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))),
% 48.35/31.45 inference(quant_inst,[status(thm)],[])).
% 48.35/31.45 tff(4879,plain,
% 48.35/31.45 ((~![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)),
% 48.35/31.45 inference(modus_ponens,[status(thm)],[4878, 4877])).
% 48.35/31.45 tff(4880,plain,
% 48.35/31.45 (v130(constB25, bitIndex0)),
% 48.35/31.45 inference(unit_resolution,[status(thm)],[4879, 908, 4773, 4769, 4765, 4761, 4757, 4753])).
% 48.35/31.45 tff(4881,plain,
% 48.35/31.45 (((~![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))),
% 48.35/31.45 inference(rewrite,[status(thm)],[])).
% 48.35/31.45 tff(4882,plain,
% 48.35/31.45 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB25) | (~v130(constB25, bitIndex0)) | v127(constB25, bitIndex0))),
% 48.35/31.45 inference(quant_inst,[status(thm)],[])).
% 48.35/31.45 tff(4883,plain,
% 48.35/31.45 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB25) | (~v130(constB25, bitIndex0)) | v127(constB25, bitIndex0)),
% 48.35/31.45 inference(modus_ponens,[status(thm)],[4882, 4881])).
% 48.35/31.45 tff(4884,plain,
% 48.35/31.45 ((~v130(constB25, bitIndex0)) | v127(constB25, bitIndex0)),
% 48.35/31.45 inference(unit_resolution,[status(thm)],[4883, 926, 4700])).
% 48.35/31.45 tff(4885,plain,
% 48.35/31.45 (v127(constB25, bitIndex0)),
% 48.35/31.45 inference(unit_resolution,[status(thm)],[4884, 4880])).
% 48.35/31.45 tff(4886,plain,
% 48.35/31.45 (((~![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))),
% 48.35/31.45 inference(rewrite,[status(thm)],[])).
% 48.35/31.45 tff(4887,plain,
% 48.35/31.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB25, constB26)) | (~v127(constB25, bitIndex0)) | v129(constB26, bitIndex0))),
% 48.35/31.45 inference(quant_inst,[status(thm)],[])).
% 48.35/31.45 tff(4888,plain,
% 48.35/31.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB25, constB26)) | (~v127(constB25, bitIndex0)) | v129(constB26, bitIndex0)),
% 48.35/31.45 inference(modus_ponens,[status(thm)],[4887, 4886])).
% 48.35/31.45 tff(4889,plain,
% 48.35/31.45 ((~v127(constB25, bitIndex0)) | v129(constB26, bitIndex0)),
% 48.35/31.45 inference(unit_resolution,[status(thm)],[4888, 944, 4715])).
% 48.35/31.45 tff(4890,plain,
% 48.35/31.45 (v129(constB26, bitIndex0)),
% 48.35/31.45 inference(unit_resolution,[status(thm)],[4889, 4885])).
% 48.35/31.45 tff(4891,plain,
% 48.35/31.45 (((~![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)))),
% 48.35/31.45 inference(rewrite,[status(thm)],[])).
% 48.35/31.45 tff(4892,plain,
% 48.35/31.45 ((v90(constB26, bitIndex0) | (~v100(constB26)) | (~v129(constB26, bitIndex0))) <=> (v90(constB26, bitIndex0) | (~v129(constB26, bitIndex0)) | (~v100(constB26)))),
% 48.35/31.45 inference(rewrite,[status(thm)],[])).
% 48.35/31.45 tff(4893,plain,
% 48.35/31.45 (((~![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))))),
% 48.35/31.45 inference(monotonicity,[status(thm)],[4892])).
% 48.35/31.45 tff(4894,plain,
% 48.35/31.45 (((~![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)))),
% 48.35/31.45 inference(transitivity,[status(thm)],[4893, 4891])).
% 48.35/31.45 tff(4895,plain,
% 48.35/31.45 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB26, bitIndex0) | (~v100(constB26)) | (~v129(constB26, bitIndex0)))),
% 48.35/31.45 inference(quant_inst,[status(thm)],[])).
% 48.35/31.45 tff(4896,plain,
% 48.35/31.45 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB26, bitIndex0) | (~v129(constB26, bitIndex0)) | (~v100(constB26))),
% 48.35/31.45 inference(modus_ponens,[status(thm)],[4895, 4894])).
% 48.35/31.45 tff(4897,plain,
% 48.35/31.45 (v90(constB26, bitIndex0) | (~v100(constB26))),
% 48.35/31.45 inference(unit_resolution,[status(thm)],[4896, 1088, 4890])).
% 48.35/31.45 tff(4898,plain,
% 48.35/31.45 (v90(constB26, bitIndex0)),
% 48.35/31.45 inference(unit_resolution,[status(thm)],[4897, 4749])).
% 48.35/31.45 tff(4899,plain,
% 48.35/31.45 (((~![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))),
% 48.35/31.45 inference(rewrite,[status(thm)],[])).
% 48.35/31.45 tff(4900,plain,
% 48.35/31.45 (((~nextState(constB26, constB27)) | (~v90(constB26, bitIndex0)) | v100(constB27) | v90(constB27, bitIndex0)) <=> ((~v90(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, bitIndex0))),
% 48.35/31.45 inference(rewrite,[status(thm)],[])).
% 48.35/31.45 tff(4901,plain,
% 48.35/31.45 (((~![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)))),
% 48.35/31.45 inference(monotonicity,[status(thm)],[4900])).
% 48.35/31.45 tff(4902,plain,
% 48.35/31.45 (((~![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))),
% 48.35/31.45 inference(transitivity,[status(thm)],[4901, 4899])).
% 48.35/31.45 tff(4903,plain,
% 48.35/31.45 ((~![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))),
% 48.35/31.45 inference(quant_inst,[status(thm)],[])).
% 48.35/31.45 tff(4904,plain,
% 48.35/31.45 ((~![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)),
% 48.35/31.45 inference(modus_ponens,[status(thm)],[4903, 4902])).
% 48.35/31.45 tff(4905,plain,
% 48.35/31.45 ((~v90(constB26, bitIndex0)) | v100(constB27) | v90(constB27, bitIndex0)),
% 48.35/31.45 inference(unit_resolution,[status(thm)],[4904, 1124, 4815])).
% 48.35/31.45 tff(4906,plain,
% 48.35/31.45 ((~v90(constB26, bitIndex0)) | v90(constB27, bitIndex0)),
% 48.35/31.45 inference(unit_resolution,[status(thm)],[4905, 4827])).
% 48.35/31.45 tff(4907,plain,
% 48.35/31.45 (v90(constB27, bitIndex0)),
% 48.35/31.45 inference(unit_resolution,[status(thm)],[4906, 4898])).
% 48.35/31.45 tff(4908,plain,
% 48.35/31.45 (((~![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))),
% 48.35/31.45 inference(rewrite,[status(thm)],[])).
% 48.35/31.45 tff(4909,plain,
% 48.35/31.45 (((~v90(constB27, bitIndex0)) | v120(constB27) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2)) <=> ((~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v120(constB27))),
% 48.35/31.45 inference(rewrite,[status(thm)],[])).
% 48.35/31.45 tff(4910,plain,
% 48.35/31.45 (((~![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)))),
% 48.35/31.45 inference(monotonicity,[status(thm)],[4909])).
% 48.35/31.45 tff(4911,plain,
% 48.35/31.45 (((~![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))),
% 48.35/31.45 inference(transitivity,[status(thm)],[4910, 4908])).
% 48.35/31.45 tff(4912,plain,
% 48.35/31.45 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB27, bitIndex0)) | v120(constB27) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2))),
% 48.35/31.45 inference(quant_inst,[status(thm)],[])).
% 48.35/31.45 tff(4913,plain,
% 48.35/31.45 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB27, bitIndex0)) | v90(constB27, bitIndex1) | v90(constB27, bitIndex2) | v120(constB27)),
% 48.35/31.45 inference(modus_ponens,[status(thm)],[4912, 4911])).
% 48.35/31.45 tff(4914,plain,
% 48.35/31.45 (v120(constB27)),
% 48.35/31.45 inference(unit_resolution,[status(thm)],[4913, 1285, 4907, 4873, 4836])).
% 48.35/31.45 tff(4915,plain,
% 48.35/31.45 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB27) | (~v120(constB27)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB27) | (~v120(constB27)))),
% 48.35/31.45 inference(rewrite,[status(thm)],[])).
% 48.35/31.45 tff(4916,plain,
% 48.35/31.45 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB27) | (~v120(constB27)))),
% 48.35/31.45 inference(quant_inst,[status(thm)],[])).
% 48.35/31.45 tff(4917,plain,
% 48.35/31.45 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB27) | (~v120(constB27))),
% 48.35/31.45 inference(modus_ponens,[status(thm)],[4916, 4915])).
% 48.35/31.45 tff(4918,plain,
% 48.35/31.45 (v118(constB27)),
% 48.35/31.45 inference(unit_resolution,[status(thm)],[4917, 1302, 4914])).
% 48.35/31.45 tff(4919,plain,
% 48.35/31.45 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB27) | (~v118(constB27)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB27) | (~v118(constB27)))),
% 48.35/31.45 inference(rewrite,[status(thm)],[])).
% 48.35/31.45 tff(4920,plain,
% 48.35/31.45 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB27) | (~v118(constB27)))),
% 48.35/31.45 inference(quant_inst,[status(thm)],[])).
% 48.35/31.45 tff(4921,plain,
% 48.35/31.45 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB27) | (~v118(constB27))),
% 48.35/31.45 inference(modus_ponens,[status(thm)],[4920, 4919])).
% 48.35/31.45 tff(4922,plain,
% 48.35/31.45 (v117(constB27)),
% 48.35/31.45 inference(unit_resolution,[status(thm)],[4921, 166, 4918])).
% 48.35/31.45 tff(4923,plain,
% 48.35/31.45 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB27) | (~v117(constB27)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB27) | (~v117(constB27)))),
% 48.35/31.45 inference(rewrite,[status(thm)],[])).
% 48.35/31.45 tff(4924,plain,
% 48.35/31.45 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB27) | (~v117(constB27)))),
% 48.35/31.45 inference(quant_inst,[status(thm)],[])).
% 48.35/31.45 tff(4925,plain,
% 48.35/31.45 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB27) | (~v117(constB27))),
% 48.35/31.45 inference(modus_ponens,[status(thm)],[4924, 4923])).
% 48.35/31.45 tff(4926,plain,
% 48.35/31.45 (v116(constB27)),
% 48.35/31.45 inference(unit_resolution,[status(thm)],[4925, 177, 4922])).
% 48.35/31.45 tff(4927,plain,
% 48.35/31.45 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB27) | (~v116(constB27)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB27) | (~v116(constB27)))),
% 48.35/31.45 inference(rewrite,[status(thm)],[])).
% 48.35/31.45 tff(4928,plain,
% 48.35/31.45 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB27) | (~v116(constB27)))),
% 48.35/31.45 inference(quant_inst,[status(thm)],[])).
% 48.35/31.45 tff(4929,plain,
% 48.35/31.45 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB27) | (~v116(constB27))),
% 48.35/31.45 inference(modus_ponens,[status(thm)],[4928, 4927])).
% 48.35/31.45 tff(4930,plain,
% 48.35/31.45 (v115(constB27)),
% 48.35/31.45 inference(unit_resolution,[status(thm)],[4929, 188, 4926])).
% 48.35/31.45 tff(4931,plain,
% 48.35/31.45 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB27) | (~v115(constB27)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB27) | (~v115(constB27)))),
% 48.35/31.45 inference(rewrite,[status(thm)],[])).
% 48.35/31.45 tff(4932,plain,
% 48.35/31.45 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB27) | (~v115(constB27)))),
% 48.35/31.45 inference(quant_inst,[status(thm)],[])).
% 48.35/31.45 tff(4933,plain,
% 48.35/31.45 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB27) | (~v115(constB27))),
% 48.35/31.45 inference(modus_ponens,[status(thm)],[4932, 4931])).
% 48.35/31.45 tff(4934,plain,
% 48.35/31.45 (v114(constB27)),
% 48.35/31.45 inference(unit_resolution,[status(thm)],[4933, 199, 4930])).
% 48.35/31.45 tff(4935,plain,
% 48.35/31.45 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB27) | (~v114(constB27)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB27) | (~v114(constB27)))),
% 48.35/31.45 inference(rewrite,[status(thm)],[])).
% 48.35/31.45 tff(4936,plain,
% 48.35/31.45 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB27) | (~v114(constB27)))),
% 48.35/31.45 inference(quant_inst,[status(thm)],[])).
% 48.35/31.45 tff(4937,plain,
% 48.35/31.45 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB27) | (~v114(constB27))),
% 48.35/31.45 inference(modus_ponens,[status(thm)],[4936, 4935])).
% 48.35/31.45 tff(4938,plain,
% 48.35/31.45 (v113(constB27)),
% 48.35/31.45 inference(unit_resolution,[status(thm)],[4937, 210, 4934])).
% 48.35/31.45 tff(4939,assumption,(v26(constB27)), introduced(assumption)).
% 48.35/31.45 tff(4940,plain,
% 48.35/31.45 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB27))),
% 48.35/31.45 inference(quant_inst,[status(thm)],[])).
% 48.35/31.45 tff(4941,plain,
% 48.35/31.45 ($false),
% 48.35/31.45 inference(unit_resolution,[status(thm)],[4940, 16, 4939])).
% 48.35/31.45 tff(4942,plain,(~v26(constB27)), inference(lemma,lemma(discharge,[]))).
% 48.35/31.45 tff(4943,plain,
% 48.35/31.45 (((~![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))),
% 48.35/31.45 inference(rewrite,[status(thm)],[])).
% 48.35/31.45 tff(4944,plain,
% 48.35/31.45 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB27) | (~v113(constB27)) | v112(constB27))),
% 48.35/31.45 inference(quant_inst,[status(thm)],[])).
% 48.35/31.45 tff(4945,plain,
% 48.35/31.45 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB27) | (~v113(constB27)) | v112(constB27)),
% 48.35/31.45 inference(modus_ponens,[status(thm)],[4944, 4943])).
% 48.35/31.45 tff(4946,plain,
% 48.35/31.45 ((~v113(constB27)) | v112(constB27)),
% 48.35/31.45 inference(unit_resolution,[status(thm)],[4945, 224, 4942])).
% 48.35/31.45 tff(4947,plain,
% 48.35/31.45 (v112(constB27)),
% 48.35/31.45 inference(unit_resolution,[status(thm)],[4946, 4938])).
% 48.35/31.45 tff(4948,plain,
% 48.35/31.45 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB27) | (~v112(constB27)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB27) | (~v112(constB27)))),
% 48.35/31.45 inference(rewrite,[status(thm)],[])).
% 48.35/31.45 tff(4949,plain,
% 48.35/31.45 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB27) | (~v112(constB27)))),
% 48.35/31.45 inference(quant_inst,[status(thm)],[])).
% 48.35/31.45 tff(4950,plain,
% 48.35/31.45 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB27) | (~v112(constB27))),
% 48.35/31.45 inference(modus_ponens,[status(thm)],[4949, 4948])).
% 48.35/31.45 tff(4951,plain,
% 48.35/31.45 (v108(constB27)),
% 48.35/31.45 inference(unit_resolution,[status(thm)],[4950, 236, 4947])).
% 48.35/31.45 tff(4952,plain,
% 48.35/31.45 (nextState(constB27, constB28) <=> nextState(constB27, constB28)),
% 48.35/31.45 inference(rewrite,[status(thm)],[])).
% 48.35/31.45 tff(4953,axiom,(nextState(constB27, constB28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_27_1')).
% 48.35/31.45 tff(4954,plain,
% 48.35/31.45 (nextState(constB27, constB28)),
% 48.35/31.45 inference(modus_ponens,[status(thm)],[4953, 4952])).
% 48.35/31.45 tff(4955,plain,
% 48.35/31.45 (((~![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)))),
% 48.35/31.45 inference(rewrite,[status(thm)],[])).
% 48.35/31.45 tff(4956,plain,
% 48.35/31.45 (((~nextState(constB27, constB28)) | (~v108(constB27)) | v110(constB28)) <=> ((~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27)))),
% 48.35/31.45 inference(rewrite,[status(thm)],[])).
% 48.35/31.45 tff(4957,plain,
% 48.35/31.45 (((~![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))))),
% 48.35/31.45 inference(monotonicity,[status(thm)],[4956])).
% 48.35/31.45 tff(4958,plain,
% 48.35/31.45 (((~![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)))),
% 48.35/31.45 inference(transitivity,[status(thm)],[4957, 4955])).
% 48.35/31.45 tff(4959,plain,
% 48.35/31.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB27, constB28)) | (~v108(constB27)) | v110(constB28))),
% 48.35/31.45 inference(quant_inst,[status(thm)],[])).
% 48.35/31.45 tff(4960,plain,
% 48.35/31.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27))),
% 48.35/31.45 inference(modus_ponens,[status(thm)],[4959, 4958])).
% 48.35/31.45 tff(4961,plain,
% 48.35/31.45 (v110(constB28) | (~v108(constB27))),
% 48.35/31.45 inference(unit_resolution,[status(thm)],[4960, 253, 4954])).
% 48.35/31.45 tff(4962,plain,
% 48.35/31.45 (v110(constB28)),
% 48.35/31.45 inference(unit_resolution,[status(thm)],[4961, 4951])).
% 48.35/31.45 tff(4963,plain,
% 48.35/31.45 (((~![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)))),
% 48.35/31.45 inference(rewrite,[status(thm)],[])).
% 48.35/31.45 tff(4964,plain,
% 48.35/31.45 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB27) | (~nextState(constB27, constB28)) | (~v104(constB28)))),
% 48.35/31.45 inference(quant_inst,[status(thm)],[])).
% 48.35/31.45 tff(4965,plain,
% 48.35/31.45 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB27) | (~nextState(constB27, constB28)) | (~v104(constB28))),
% 48.35/31.45 inference(modus_ponens,[status(thm)],[4964, 4963])).
% 48.35/31.45 tff(4966,plain,
% 48.35/31.45 (~v104(constB28)),
% 48.35/31.45 inference(unit_resolution,[status(thm)],[4965, 271, 4954, 4812])).
% 48.35/31.45 tff(4967,plain,
% 48.35/31.45 (((~![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))),
% 48.35/31.45 inference(rewrite,[status(thm)],[])).
% 48.35/31.45 tff(4968,plain,
% 48.35/31.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB27, constB28)) | v102(constB28) | v104(constB28))),
% 48.35/31.45 inference(quant_inst,[status(thm)],[])).
% 48.35/31.45 tff(4969,plain,
% 48.35/31.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB27, constB28)) | v102(constB28) | v104(constB28)),
% 48.35/31.45 inference(modus_ponens,[status(thm)],[4968, 4967])).
% 48.35/31.45 tff(4970,plain,
% 48.35/31.45 (v102(constB28) | v104(constB28)),
% 48.35/31.45 inference(unit_resolution,[status(thm)],[4969, 285, 4954])).
% 48.35/31.45 tff(4971,plain,
% 48.35/31.45 (v102(constB28)),
% 48.35/31.45 inference(unit_resolution,[status(thm)],[4970, 4966])).
% 48.35/31.45 tff(4972,plain,
% 48.35/31.45 (v1(constB28) <=> v1(constB28)),
% 48.35/31.45 inference(rewrite,[status(thm)],[])).
% 48.35/31.45 tff(4973,axiom,(v1(constB28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_28_1')).
% 48.35/31.45 tff(4974,plain,
% 48.35/31.45 (v1(constB28)),
% 48.35/31.45 inference(modus_ponens,[status(thm)],[4973, 4972])).
% 48.35/31.45 tff(4975,plain,
% 48.35/31.45 (((~![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)))),
% 48.35/31.45 inference(rewrite,[status(thm)],[])).
% 48.35/31.45 tff(4976,plain,
% 48.35/31.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB27, constB28)) | v101(constB28) | (~v102(constB28)) | (~v1(constB28)))),
% 48.35/31.46 inference(quant_inst,[status(thm)],[])).
% 48.35/31.46 tff(4977,plain,
% 48.35/31.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB27, constB28)) | v101(constB28) | (~v102(constB28)) | (~v1(constB28))),
% 48.35/31.46 inference(modus_ponens,[status(thm)],[4976, 4975])).
% 48.35/31.46 tff(4978,plain,
% 48.35/31.46 (v101(constB28) | (~v102(constB28))),
% 48.35/31.46 inference(unit_resolution,[status(thm)],[4977, 303, 4954, 4974])).
% 48.35/31.46 tff(4979,plain,
% 48.35/31.46 (v101(constB28)),
% 48.35/31.46 inference(unit_resolution,[status(thm)],[4978, 4971])).
% 48.35/31.46 tff(4980,plain,
% 48.35/31.46 (((~![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)))),
% 48.35/31.46 inference(rewrite,[status(thm)],[])).
% 48.35/31.46 tff(4981,plain,
% 48.35/31.46 (((~nextState(constB27, constB28)) | (~v101(constB28)) | (~v110(constB28)) | v100(constB28)) <=> ((~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28)))),
% 48.35/31.46 inference(rewrite,[status(thm)],[])).
% 48.35/31.46 tff(4982,plain,
% 48.35/31.46 (((~![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))))),
% 48.35/31.46 inference(monotonicity,[status(thm)],[4981])).
% 48.35/31.46 tff(4983,plain,
% 48.35/31.46 (((~![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)))),
% 48.35/31.46 inference(transitivity,[status(thm)],[4982, 4980])).
% 48.35/31.46 tff(4984,plain,
% 48.35/31.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB27, constB28)) | (~v101(constB28)) | (~v110(constB28)) | v100(constB28))),
% 48.35/31.46 inference(quant_inst,[status(thm)],[])).
% 48.35/31.46 tff(4985,plain,
% 48.35/31.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28))),
% 48.35/31.46 inference(modus_ponens,[status(thm)],[4984, 4983])).
% 48.35/31.46 tff(4986,plain,
% 48.35/31.46 (v100(constB28) | (~v101(constB28)) | (~v110(constB28))),
% 48.35/31.46 inference(unit_resolution,[status(thm)],[4985, 318, 4954])).
% 48.35/31.46 tff(4987,plain,
% 48.35/31.46 (v100(constB28) | (~v110(constB28))),
% 48.35/31.46 inference(unit_resolution,[status(thm)],[4986, 4979])).
% 48.35/31.46 tff(4988,plain,
% 48.35/31.46 (v100(constB28)),
% 48.35/31.46 inference(unit_resolution,[status(thm)],[4987, 4962])).
% 48.35/31.46 tff(4989,plain,
% 48.35/31.46 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB27)) | (~v130(constB27, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB27)) | (~v130(constB27, bitIndex2)))),
% 48.35/31.46 inference(rewrite,[status(thm)],[])).
% 48.35/31.46 tff(4990,plain,
% 48.35/31.46 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB27)) | (~v130(constB27, bitIndex2)))),
% 48.35/31.46 inference(quant_inst,[status(thm)],[])).
% 48.35/31.46 tff(4991,plain,
% 48.35/31.46 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB27)) | (~v130(constB27, bitIndex2))),
% 48.35/31.46 inference(modus_ponens,[status(thm)],[4990, 4989])).
% 48.35/31.46 tff(4992,plain,
% 48.35/31.46 (~v130(constB27, bitIndex2)),
% 48.35/31.46 inference(unit_resolution,[status(thm)],[4991, 1383, 4914])).
% 48.35/31.46 tff(4993,plain,
% 48.35/31.46 (((~![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))),
% 48.35/31.46 inference(rewrite,[status(thm)],[])).
% 48.35/31.46 tff(4994,plain,
% 48.35/31.46 ((v26(constB27) | v130(constB27, bitIndex2) | (~v127(constB27, bitIndex2))) <=> ((~v127(constB27, bitIndex2)) | v26(constB27) | v130(constB27, bitIndex2))),
% 48.35/31.46 inference(rewrite,[status(thm)],[])).
% 48.35/31.46 tff(4995,plain,
% 48.35/31.46 (((~![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)))),
% 48.35/31.46 inference(monotonicity,[status(thm)],[4994])).
% 48.35/31.46 tff(4996,plain,
% 48.35/31.46 (((~![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))),
% 48.35/31.46 inference(transitivity,[status(thm)],[4995, 4993])).
% 48.35/31.46 tff(4997,plain,
% 48.35/31.46 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB27) | v130(constB27, bitIndex2) | (~v127(constB27, bitIndex2)))),
% 48.35/31.46 inference(quant_inst,[status(thm)],[])).
% 48.35/31.46 tff(4998,plain,
% 48.35/31.46 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB27, bitIndex2)) | v26(constB27) | v130(constB27, bitIndex2)),
% 48.35/31.46 inference(modus_ponens,[status(thm)],[4997, 4996])).
% 48.35/31.46 tff(4999,plain,
% 48.35/31.46 ((~v127(constB27, bitIndex2)) | v130(constB27, bitIndex2)),
% 48.35/31.46 inference(unit_resolution,[status(thm)],[4998, 1210, 4942])).
% 48.35/31.46 tff(5000,plain,
% 48.35/31.46 (~v127(constB27, bitIndex2)),
% 48.35/31.46 inference(unit_resolution,[status(thm)],[4999, 4992])).
% 48.35/31.46 tff(5001,plain,
% 48.35/31.46 (((~![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)))),
% 48.35/31.46 inference(rewrite,[status(thm)],[])).
% 48.35/31.46 tff(5002,plain,
% 48.35/31.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB27, constB28)) | v127(constB27, bitIndex2) | (~v129(constB28, bitIndex2)))),
% 48.35/31.46 inference(quant_inst,[status(thm)],[])).
% 48.35/31.46 tff(5003,plain,
% 48.35/31.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB27, constB28)) | v127(constB27, bitIndex2) | (~v129(constB28, bitIndex2))),
% 48.35/31.46 inference(modus_ponens,[status(thm)],[5002, 5001])).
% 48.35/31.46 tff(5004,plain,
% 48.35/31.46 (v127(constB27, bitIndex2) | (~v129(constB28, bitIndex2))),
% 48.35/31.46 inference(unit_resolution,[status(thm)],[5003, 1243, 4954])).
% 48.35/31.46 tff(5005,plain,
% 48.35/31.46 (~v129(constB28, bitIndex2)),
% 48.35/31.46 inference(unit_resolution,[status(thm)],[5004, 5000])).
% 48.35/31.46 tff(5006,plain,
% 48.35/31.46 (((~![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)))),
% 48.35/31.46 inference(rewrite,[status(thm)],[])).
% 48.35/31.46 tff(5007,plain,
% 48.35/31.46 (((~v90(constB28, bitIndex2)) | (~v100(constB28)) | v129(constB28, bitIndex2)) <=> ((~v90(constB28, bitIndex2)) | v129(constB28, bitIndex2) | (~v100(constB28)))),
% 48.35/31.46 inference(rewrite,[status(thm)],[])).
% 48.35/31.46 tff(5008,plain,
% 48.35/31.46 (((~![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))))),
% 48.35/31.46 inference(monotonicity,[status(thm)],[5007])).
% 48.35/31.46 tff(5009,plain,
% 48.35/31.46 (((~![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)))),
% 48.35/31.46 inference(transitivity,[status(thm)],[5008, 5006])).
% 48.35/31.46 tff(5010,plain,
% 48.35/31.46 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB28, bitIndex2)) | (~v100(constB28)) | v129(constB28, bitIndex2))),
% 48.35/31.46 inference(quant_inst,[status(thm)],[])).
% 48.35/31.46 tff(5011,plain,
% 48.35/31.46 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB28, bitIndex2)) | v129(constB28, bitIndex2) | (~v100(constB28))),
% 48.35/31.46 inference(modus_ponens,[status(thm)],[5010, 5009])).
% 48.35/31.46 tff(5012,plain,
% 48.35/31.46 ((~v90(constB28, bitIndex2)) | (~v100(constB28))),
% 48.35/31.46 inference(unit_resolution,[status(thm)],[5011, 1258, 5005])).
% 48.35/31.46 tff(5013,plain,
% 48.35/31.46 (~v90(constB28, bitIndex2)),
% 48.35/31.46 inference(unit_resolution,[status(thm)],[5012, 4988])).
% 48.35/31.46 tff(5014,plain,
% 48.35/31.46 ((~v1(constB29)) <=> (~v1(constB29))),
% 48.35/31.46 inference(rewrite,[status(thm)],[])).
% 48.35/31.46 tff(5015,axiom,(~v1(constB29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_29_1_1')).
% 48.35/31.46 tff(5016,plain,
% 48.35/31.46 (~v1(constB29)),
% 48.35/31.46 inference(modus_ponens,[status(thm)],[5015, 5014])).
% 48.35/31.46 tff(5017,plain,
% 48.35/31.46 (nextState(constB28, constB29) <=> nextState(constB28, constB29)),
% 48.35/31.46 inference(rewrite,[status(thm)],[])).
% 48.35/31.46 tff(5018,axiom,(nextState(constB28, constB29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_28_1')).
% 48.35/31.46 tff(5019,plain,
% 48.35/31.46 (nextState(constB28, constB29)),
% 48.35/31.46 inference(modus_ponens,[status(thm)],[5018, 5017])).
% 48.35/31.46 tff(5020,plain,
% 48.35/31.46 (((~![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)))),
% 48.35/31.46 inference(rewrite,[status(thm)],[])).
% 48.35/31.46 tff(5021,plain,
% 48.35/31.46 (((~nextState(constB28, constB29)) | (~v101(constB29)) | v1(constB29)) <=> (v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29)))),
% 48.35/31.46 inference(rewrite,[status(thm)],[])).
% 48.35/31.46 tff(5022,plain,
% 48.35/31.46 (((~![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))))),
% 48.35/31.46 inference(monotonicity,[status(thm)],[5021])).
% 48.35/31.46 tff(5023,plain,
% 48.35/31.46 (((~![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)))),
% 48.35/31.46 inference(transitivity,[status(thm)],[5022, 5020])).
% 48.35/31.46 tff(5024,plain,
% 48.35/31.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB28, constB29)) | (~v101(constB29)) | v1(constB29))),
% 48.35/31.46 inference(quant_inst,[status(thm)],[])).
% 48.35/31.46 tff(5025,plain,
% 48.35/31.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29))),
% 48.35/31.46 inference(modus_ponens,[status(thm)],[5024, 5023])).
% 48.35/31.46 tff(5026,plain,
% 48.35/31.46 (~v101(constB29)),
% 48.35/31.46 inference(unit_resolution,[status(thm)],[5025, 49, 5019, 5016])).
% 48.35/31.46 tff(5027,plain,
% 48.35/31.46 (((~![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)))),
% 48.35/31.46 inference(rewrite,[status(thm)],[])).
% 48.35/31.46 tff(5028,plain,
% 48.35/31.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB28, constB29)) | v101(constB29) | (~v100(constB29)))),
% 48.35/31.46 inference(quant_inst,[status(thm)],[])).
% 48.35/31.46 tff(5029,plain,
% 48.35/31.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB28, constB29)) | v101(constB29) | (~v100(constB29))),
% 48.35/31.46 inference(modus_ponens,[status(thm)],[5028, 5027])).
% 48.35/31.46 tff(5030,plain,
% 48.35/31.46 (v101(constB29) | (~v100(constB29))),
% 48.35/31.46 inference(unit_resolution,[status(thm)],[5029, 66, 5019])).
% 48.35/31.46 tff(5031,plain,
% 48.35/31.46 (~v100(constB29)),
% 48.35/31.46 inference(unit_resolution,[status(thm)],[5030, 5026])).
% 48.35/31.46 tff(5032,plain,
% 48.35/31.46 (((~![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)))),
% 48.35/31.46 inference(rewrite,[status(thm)],[])).
% 48.35/31.46 tff(5033,plain,
% 48.35/31.46 (((~nextState(constB28, constB29)) | v90(constB28, bitIndex2) | v100(constB29) | (~v90(constB29, bitIndex2))) <=> (v90(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex2)))),
% 48.35/31.46 inference(rewrite,[status(thm)],[])).
% 48.35/31.46 tff(5034,plain,
% 48.35/31.46 (((~![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))))),
% 48.35/31.46 inference(monotonicity,[status(thm)],[5033])).
% 48.35/31.46 tff(5035,plain,
% 48.35/31.46 (((~![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)))),
% 48.35/31.46 inference(transitivity,[status(thm)],[5034, 5032])).
% 48.35/31.46 tff(5036,plain,
% 48.35/31.46 ((~![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)))),
% 48.35/31.46 inference(quant_inst,[status(thm)],[])).
% 48.35/31.46 tff(5037,plain,
% 48.35/31.46 ((~![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))),
% 48.35/31.46 inference(modus_ponens,[status(thm)],[5036, 5035])).
% 48.35/31.46 tff(5038,plain,
% 48.35/31.46 (v90(constB28, bitIndex2) | v100(constB29) | (~v90(constB29, bitIndex2))),
% 48.35/31.46 inference(unit_resolution,[status(thm)],[5037, 81, 5019])).
% 48.35/31.46 tff(5039,plain,
% 48.35/31.46 (v90(constB28, bitIndex2) | (~v90(constB29, bitIndex2))),
% 48.35/31.46 inference(unit_resolution,[status(thm)],[5038, 5031])).
% 48.35/31.46 tff(5040,plain,
% 48.35/31.46 (~v90(constB29, bitIndex2)),
% 48.35/31.46 inference(unit_resolution,[status(thm)],[5039, 5013])).
% 48.35/31.46 tff(5041,plain,
% 48.35/31.46 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB27)) | v130(constB27, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB27)) | v130(constB27, bitIndex1))),
% 48.35/31.46 inference(rewrite,[status(thm)],[])).
% 48.35/31.46 tff(5042,plain,
% 48.35/31.46 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB27)) | v130(constB27, bitIndex1))),
% 48.35/31.46 inference(quant_inst,[status(thm)],[])).
% 48.35/31.46 tff(5043,plain,
% 48.35/31.46 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB27)) | v130(constB27, bitIndex1)),
% 48.35/31.46 inference(modus_ponens,[status(thm)],[5042, 5041])).
% 48.35/31.46 tff(5044,plain,
% 48.35/31.46 (v130(constB27, bitIndex1)),
% 48.35/31.46 inference(unit_resolution,[status(thm)],[5043, 1450, 4914])).
% 48.35/31.46 tff(5045,plain,
% 48.35/31.46 (((~![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))),
% 48.35/31.46 inference(rewrite,[status(thm)],[])).
% 48.35/31.46 tff(5046,plain,
% 48.35/31.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB27) | (~v130(constB27, bitIndex1)) | v127(constB27, bitIndex1))),
% 48.35/31.46 inference(quant_inst,[status(thm)],[])).
% 48.35/31.46 tff(5047,plain,
% 48.35/31.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB27) | (~v130(constB27, bitIndex1)) | v127(constB27, bitIndex1)),
% 48.35/31.46 inference(modus_ponens,[status(thm)],[5046, 5045])).
% 48.35/31.46 tff(5048,plain,
% 48.35/31.46 ((~v130(constB27, bitIndex1)) | v127(constB27, bitIndex1)),
% 48.35/31.46 inference(unit_resolution,[status(thm)],[5047, 681, 4942])).
% 48.35/31.46 tff(5049,plain,
% 48.35/31.46 (v127(constB27, bitIndex1)),
% 48.35/31.46 inference(unit_resolution,[status(thm)],[5048, 5044])).
% 48.35/31.46 tff(5050,plain,
% 48.35/31.46 (((~![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))),
% 48.35/31.46 inference(rewrite,[status(thm)],[])).
% 48.35/31.46 tff(5051,plain,
% 48.35/31.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB27, constB28)) | (~v127(constB27, bitIndex1)) | v129(constB28, bitIndex1))),
% 48.35/31.46 inference(quant_inst,[status(thm)],[])).
% 48.35/31.46 tff(5052,plain,
% 48.35/31.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB27, constB28)) | (~v127(constB27, bitIndex1)) | v129(constB28, bitIndex1)),
% 48.35/31.46 inference(modus_ponens,[status(thm)],[5051, 5050])).
% 48.35/31.46 tff(5053,plain,
% 48.35/31.46 ((~v127(constB27, bitIndex1)) | v129(constB28, bitIndex1)),
% 48.35/31.46 inference(unit_resolution,[status(thm)],[5052, 696, 4954])).
% 48.35/31.46 tff(5054,plain,
% 48.35/31.46 (v129(constB28, bitIndex1)),
% 48.35/31.46 inference(unit_resolution,[status(thm)],[5053, 5049])).
% 48.35/31.46 tff(5055,plain,
% 48.35/31.46 (((~![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)))),
% 48.35/31.46 inference(rewrite,[status(thm)],[])).
% 48.35/31.46 tff(5056,plain,
% 48.35/31.46 ((v90(constB28, bitIndex1) | (~v100(constB28)) | (~v129(constB28, bitIndex1))) <=> (v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1)) | (~v100(constB28)))),
% 48.35/31.46 inference(rewrite,[status(thm)],[])).
% 48.35/31.46 tff(5057,plain,
% 48.35/31.46 (((~![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))))),
% 48.35/31.46 inference(monotonicity,[status(thm)],[5056])).
% 48.35/31.46 tff(5058,plain,
% 48.35/31.46 (((~![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)))),
% 48.35/31.46 inference(transitivity,[status(thm)],[5057, 5055])).
% 48.35/31.46 tff(5059,plain,
% 48.35/31.46 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB28, bitIndex1) | (~v100(constB28)) | (~v129(constB28, bitIndex1)))),
% 48.35/31.46 inference(quant_inst,[status(thm)],[])).
% 48.35/31.46 tff(5060,plain,
% 48.35/31.46 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB28, bitIndex1) | (~v129(constB28, bitIndex1)) | (~v100(constB28))),
% 48.35/31.46 inference(modus_ponens,[status(thm)],[5059, 5058])).
% 48.35/31.46 tff(5061,plain,
% 48.35/31.46 (v90(constB28, bitIndex1) | (~v100(constB28))),
% 48.35/31.46 inference(unit_resolution,[status(thm)],[5060, 711, 5054])).
% 48.35/31.46 tff(5062,plain,
% 48.35/31.46 (v90(constB28, bitIndex1)),
% 48.35/31.46 inference(unit_resolution,[status(thm)],[5061, 4988])).
% 48.35/31.46 tff(5063,plain,
% 48.35/31.46 (((~![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))),
% 48.35/31.46 inference(rewrite,[status(thm)],[])).
% 48.35/31.46 tff(5064,plain,
% 48.35/31.46 (((~nextState(constB28, constB29)) | (~v90(constB28, bitIndex1)) | v100(constB29) | v90(constB29, bitIndex1)) <=> ((~v90(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, bitIndex1))),
% 48.35/31.46 inference(rewrite,[status(thm)],[])).
% 48.35/31.46 tff(5065,plain,
% 48.35/31.46 (((~![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)))),
% 48.35/31.46 inference(monotonicity,[status(thm)],[5064])).
% 48.35/31.46 tff(5066,plain,
% 48.35/31.46 (((~![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))),
% 48.35/31.46 inference(transitivity,[status(thm)],[5065, 5063])).
% 48.35/31.46 tff(5067,plain,
% 48.35/31.46 ((~![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))),
% 48.35/31.46 inference(quant_inst,[status(thm)],[])).
% 48.35/31.46 tff(5068,plain,
% 48.35/31.46 ((~![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)),
% 48.35/31.46 inference(modus_ponens,[status(thm)],[5067, 5066])).
% 48.35/31.46 tff(5069,plain,
% 48.35/31.46 ((~v90(constB28, bitIndex1)) | v100(constB29) | v90(constB29, bitIndex1)),
% 48.35/31.46 inference(unit_resolution,[status(thm)],[5068, 747, 5019])).
% 48.35/31.46 tff(5070,plain,
% 48.35/31.46 ((~v90(constB28, bitIndex1)) | v90(constB29, bitIndex1)),
% 48.35/31.46 inference(unit_resolution,[status(thm)],[5069, 5031])).
% 48.35/31.46 tff(5071,plain,
% 48.35/31.46 (v90(constB29, bitIndex1)),
% 48.35/31.46 inference(unit_resolution,[status(thm)],[5070, 5062])).
% 48.35/31.46 tff(5072,plain,
% 48.35/31.46 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB27)) | (~v130(constB27, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB27)) | (~v130(constB27, bitIndex0)))),
% 48.35/31.46 inference(rewrite,[status(thm)],[])).
% 48.35/31.46 tff(5073,plain,
% 48.35/31.46 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB27)) | (~v130(constB27, bitIndex0)))),
% 48.35/31.46 inference(quant_inst,[status(thm)],[])).
% 48.35/31.46 tff(5074,plain,
% 48.35/31.46 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB27)) | (~v130(constB27, bitIndex0))),
% 48.35/31.46 inference(modus_ponens,[status(thm)],[5073, 5072])).
% 48.35/31.46 tff(5075,plain,
% 48.35/31.46 (~v130(constB27, bitIndex0)),
% 48.35/31.46 inference(unit_resolution,[status(thm)],[5074, 1492, 4914])).
% 48.35/31.46 tff(5076,plain,
% 48.35/31.46 (((~![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))),
% 48.35/31.46 inference(rewrite,[status(thm)],[])).
% 48.35/31.46 tff(5077,plain,
% 48.35/31.46 ((v26(constB27) | v130(constB27, bitIndex0) | (~v127(constB27, bitIndex0))) <=> ((~v127(constB27, bitIndex0)) | v26(constB27) | v130(constB27, bitIndex0))),
% 48.35/31.46 inference(rewrite,[status(thm)],[])).
% 48.35/31.46 tff(5078,plain,
% 48.35/31.46 (((~![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)))),
% 48.35/31.46 inference(monotonicity,[status(thm)],[5077])).
% 48.35/31.46 tff(5079,plain,
% 48.35/31.46 (((~![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))),
% 48.35/31.46 inference(transitivity,[status(thm)],[5078, 5076])).
% 48.35/31.46 tff(5080,plain,
% 48.35/31.46 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB27) | v130(constB27, bitIndex0) | (~v127(constB27, bitIndex0)))),
% 48.35/31.46 inference(quant_inst,[status(thm)],[])).
% 48.35/31.46 tff(5081,plain,
% 48.35/31.46 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB27, bitIndex0)) | v26(constB27) | v130(constB27, bitIndex0)),
% 48.35/31.46 inference(modus_ponens,[status(thm)],[5080, 5079])).
% 48.35/31.46 tff(5082,plain,
% 48.35/31.46 ((~v127(constB27, bitIndex0)) | v130(constB27, bitIndex0)),
% 48.35/31.46 inference(unit_resolution,[status(thm)],[5081, 524, 4942])).
% 48.35/31.46 tff(5083,plain,
% 48.35/31.46 (~v127(constB27, bitIndex0)),
% 48.35/31.46 inference(unit_resolution,[status(thm)],[5082, 5075])).
% 48.35/31.46 tff(5084,plain,
% 48.35/31.46 (((~![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)))),
% 48.35/31.46 inference(rewrite,[status(thm)],[])).
% 48.35/31.46 tff(5085,plain,
% 48.35/31.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB27, constB28)) | v127(constB27, bitIndex0) | (~v129(constB28, bitIndex0)))),
% 48.35/31.46 inference(quant_inst,[status(thm)],[])).
% 48.35/31.46 tff(5086,plain,
% 48.35/31.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB27, constB28)) | v127(constB27, bitIndex0) | (~v129(constB28, bitIndex0))),
% 48.35/31.46 inference(modus_ponens,[status(thm)],[5085, 5084])).
% 48.35/31.46 tff(5087,plain,
% 48.35/31.46 (v127(constB27, bitIndex0) | (~v129(constB28, bitIndex0))),
% 48.35/31.46 inference(unit_resolution,[status(thm)],[5086, 542, 4954])).
% 48.35/31.46 tff(5088,plain,
% 48.35/31.46 (~v129(constB28, bitIndex0)),
% 48.35/31.46 inference(unit_resolution,[status(thm)],[5087, 5083])).
% 48.35/31.46 tff(5089,plain,
% 48.35/31.46 (((~![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)))),
% 48.35/31.46 inference(rewrite,[status(thm)],[])).
% 48.35/31.46 tff(5090,plain,
% 48.35/31.46 (((~v90(constB28, bitIndex0)) | (~v100(constB28)) | v129(constB28, bitIndex0)) <=> ((~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0) | (~v100(constB28)))),
% 48.35/31.46 inference(rewrite,[status(thm)],[])).
% 48.35/31.46 tff(5091,plain,
% 48.35/31.46 (((~![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))))),
% 48.35/31.46 inference(monotonicity,[status(thm)],[5090])).
% 48.35/31.46 tff(5092,plain,
% 48.35/31.46 (((~![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)))),
% 48.35/31.46 inference(transitivity,[status(thm)],[5091, 5089])).
% 48.35/31.46 tff(5093,plain,
% 48.35/31.46 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB28, bitIndex0)) | (~v100(constB28)) | v129(constB28, bitIndex0))),
% 48.35/31.46 inference(quant_inst,[status(thm)],[])).
% 48.35/31.46 tff(5094,plain,
% 48.35/31.46 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB28, bitIndex0)) | v129(constB28, bitIndex0) | (~v100(constB28))),
% 48.35/31.46 inference(modus_ponens,[status(thm)],[5093, 5092])).
% 48.35/31.46 tff(5095,plain,
% 48.35/31.46 ((~v90(constB28, bitIndex0)) | (~v100(constB28))),
% 48.35/31.46 inference(unit_resolution,[status(thm)],[5094, 557, 5088])).
% 48.35/31.46 tff(5096,plain,
% 48.35/31.46 (~v90(constB28, bitIndex0)),
% 48.35/31.46 inference(unit_resolution,[status(thm)],[5095, 4988])).
% 48.35/31.46 tff(5097,plain,
% 48.35/31.46 (((~![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)))),
% 48.35/31.46 inference(rewrite,[status(thm)],[])).
% 48.35/31.46 tff(5098,plain,
% 48.35/31.46 (((~nextState(constB28, constB29)) | v90(constB28, bitIndex0) | v100(constB29) | (~v90(constB29, bitIndex0))) <=> (v90(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex0)))),
% 48.35/31.47 inference(rewrite,[status(thm)],[])).
% 48.35/31.47 tff(5099,plain,
% 48.35/31.47 (((~![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))))),
% 48.35/31.47 inference(monotonicity,[status(thm)],[5098])).
% 48.35/31.47 tff(5100,plain,
% 48.35/31.47 (((~![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)))),
% 48.35/31.47 inference(transitivity,[status(thm)],[5099, 5097])).
% 48.35/31.47 tff(5101,plain,
% 48.35/31.47 ((~![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)))),
% 48.35/31.47 inference(quant_inst,[status(thm)],[])).
% 48.35/31.47 tff(5102,plain,
% 48.35/31.47 ((~![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))),
% 48.35/31.47 inference(modus_ponens,[status(thm)],[5101, 5100])).
% 48.35/31.47 tff(5103,plain,
% 48.35/31.47 (v90(constB28, bitIndex0) | v100(constB29) | (~v90(constB29, bitIndex0))),
% 48.35/31.47 inference(unit_resolution,[status(thm)],[5102, 123, 5019])).
% 48.35/31.47 tff(5104,plain,
% 48.35/31.47 (v90(constB28, bitIndex0) | (~v90(constB29, bitIndex0))),
% 48.35/31.47 inference(unit_resolution,[status(thm)],[5103, 5031])).
% 48.35/31.47 tff(5105,plain,
% 48.35/31.47 (~v90(constB29, bitIndex0)),
% 48.35/31.47 inference(unit_resolution,[status(thm)],[5104, 5096])).
% 48.35/31.47 tff(5106,plain,
% 48.35/31.47 (((~![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))),
% 48.35/31.47 inference(rewrite,[status(thm)],[])).
% 48.35/31.47 tff(5107,plain,
% 48.35/31.47 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex2) | v121(constB29))),
% 48.35/31.47 inference(quant_inst,[status(thm)],[])).
% 48.35/31.47 tff(5108,plain,
% 48.35/31.47 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex2) | v121(constB29)),
% 48.35/31.47 inference(modus_ponens,[status(thm)],[5107, 5106])).
% 48.35/31.47 tff(5109,plain,
% 48.35/31.47 (v121(constB29)),
% 48.35/31.47 inference(unit_resolution,[status(thm)],[5108, 1551, 5105, 5071, 5040])).
% 48.35/31.47 tff(5110,plain,
% 48.35/31.47 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB29)) | (~v130(constB29, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB29)) | (~v130(constB29, bitIndex2)))),
% 48.35/31.47 inference(rewrite,[status(thm)],[])).
% 48.35/31.47 tff(5111,plain,
% 48.35/31.47 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB29)) | (~v130(constB29, bitIndex2)))),
% 48.35/31.47 inference(quant_inst,[status(thm)],[])).
% 48.35/31.47 tff(5112,plain,
% 48.35/31.47 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB29)) | (~v130(constB29, bitIndex2))),
% 48.35/31.47 inference(modus_ponens,[status(thm)],[5111, 5110])).
% 48.35/31.47 tff(5113,plain,
% 48.35/31.47 (~v130(constB29, bitIndex2)),
% 48.35/31.47 inference(unit_resolution,[status(thm)],[5112, 1645, 5109])).
% 48.35/31.47 tff(5114,assumption,(v26(constB29)), introduced(assumption)).
% 48.35/31.47 tff(5115,plain,
% 48.35/31.47 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB29))),
% 48.35/31.47 inference(quant_inst,[status(thm)],[])).
% 48.35/31.47 tff(5116,plain,
% 48.35/31.47 ($false),
% 48.35/31.47 inference(unit_resolution,[status(thm)],[5115, 16, 5114])).
% 48.35/31.47 tff(5117,plain,(~v26(constB29)), inference(lemma,lemma(discharge,[]))).
% 48.35/31.47 tff(5118,plain,
% 48.35/31.47 (((~![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))),
% 48.35/31.47 inference(rewrite,[status(thm)],[])).
% 48.35/31.47 tff(5119,plain,
% 48.35/31.47 ((v26(constB29) | v130(constB29, bitIndex2) | (~v127(constB29, bitIndex2))) <=> ((~v127(constB29, bitIndex2)) | v26(constB29) | v130(constB29, bitIndex2))),
% 48.35/31.47 inference(rewrite,[status(thm)],[])).
% 48.35/31.47 tff(5120,plain,
% 48.35/31.47 (((~![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)))),
% 48.35/31.47 inference(monotonicity,[status(thm)],[5119])).
% 48.35/31.47 tff(5121,plain,
% 48.35/31.47 (((~![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))),
% 48.35/31.47 inference(transitivity,[status(thm)],[5120, 5118])).
% 48.35/31.47 tff(5122,plain,
% 48.35/31.47 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB29) | v130(constB29, bitIndex2) | (~v127(constB29, bitIndex2)))),
% 48.35/31.47 inference(quant_inst,[status(thm)],[])).
% 48.35/31.47 tff(5123,plain,
% 48.35/31.47 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB29, bitIndex2)) | v26(constB29) | v130(constB29, bitIndex2)),
% 48.35/31.47 inference(modus_ponens,[status(thm)],[5122, 5121])).
% 48.35/31.47 tff(5124,plain,
% 48.35/31.47 ((~v127(constB29, bitIndex2)) | v130(constB29, bitIndex2)),
% 48.35/31.47 inference(unit_resolution,[status(thm)],[5123, 1210, 5117])).
% 48.35/31.47 tff(5125,plain,
% 48.35/31.47 (~v127(constB29, bitIndex2)),
% 48.35/31.47 inference(unit_resolution,[status(thm)],[5124, 5113])).
% 48.35/31.47 tff(5126,plain,
% 48.35/31.47 (nextState(constB29, constB30) <=> nextState(constB29, constB30)),
% 48.35/31.47 inference(rewrite,[status(thm)],[])).
% 48.35/31.47 tff(5127,axiom,(nextState(constB29, constB30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_29_1')).
% 48.35/31.47 tff(5128,plain,
% 48.35/31.47 (nextState(constB29, constB30)),
% 48.35/31.47 inference(modus_ponens,[status(thm)],[5127, 5126])).
% 48.35/31.47 tff(5129,plain,
% 48.35/31.47 (((~![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)))),
% 48.35/31.47 inference(rewrite,[status(thm)],[])).
% 48.35/31.47 tff(5130,plain,
% 48.35/31.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB29, constB30)) | v127(constB29, bitIndex2) | (~v129(constB30, bitIndex2)))),
% 48.35/31.47 inference(quant_inst,[status(thm)],[])).
% 48.35/31.47 tff(5131,plain,
% 48.35/31.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB29, constB30)) | v127(constB29, bitIndex2) | (~v129(constB30, bitIndex2))),
% 48.35/31.47 inference(modus_ponens,[status(thm)],[5130, 5129])).
% 48.35/31.47 tff(5132,plain,
% 48.35/31.47 (v127(constB29, bitIndex2) | (~v129(constB30, bitIndex2))),
% 48.35/31.47 inference(unit_resolution,[status(thm)],[5131, 1243, 5128])).
% 48.35/31.47 tff(5133,plain,
% 48.35/31.47 (~v129(constB30, bitIndex2)),
% 48.35/31.47 inference(unit_resolution,[status(thm)],[5132, 5125])).
% 48.35/31.47 tff(5134,assumption,(~v100(constB30)), introduced(assumption)).
% 48.35/31.47 tff(5135,plain,
% 48.35/31.47 (((~![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)))),
% 48.35/31.47 inference(rewrite,[status(thm)],[])).
% 48.35/31.47 tff(5136,plain,
% 48.35/31.47 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB29) | (~nextState(constB29, constB30)) | (~v104(constB30)))),
% 48.35/31.47 inference(quant_inst,[status(thm)],[])).
% 48.35/31.47 tff(5137,plain,
% 48.35/31.47 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB29) | (~nextState(constB29, constB30)) | (~v104(constB30))),
% 48.35/31.47 inference(modus_ponens,[status(thm)],[5136, 5135])).
% 48.35/31.47 tff(5138,plain,
% 48.35/31.47 (~v104(constB30)),
% 48.35/31.47 inference(unit_resolution,[status(thm)],[5137, 271, 5128, 5016])).
% 48.35/31.47 tff(5139,plain,
% 48.35/31.47 (((~![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))),
% 48.35/31.47 inference(rewrite,[status(thm)],[])).
% 48.35/31.47 tff(5140,plain,
% 48.35/31.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB29, constB30)) | v102(constB30) | v104(constB30))),
% 48.35/31.47 inference(quant_inst,[status(thm)],[])).
% 48.35/31.47 tff(5141,plain,
% 48.35/31.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB29, constB30)) | v102(constB30) | v104(constB30)),
% 48.35/31.47 inference(modus_ponens,[status(thm)],[5140, 5139])).
% 48.35/31.47 tff(5142,plain,
% 48.35/31.47 (v102(constB30) | v104(constB30)),
% 48.35/31.47 inference(unit_resolution,[status(thm)],[5141, 285, 5128])).
% 48.35/31.47 tff(5143,plain,
% 48.35/31.47 (v102(constB30)),
% 48.35/31.47 inference(unit_resolution,[status(thm)],[5142, 5138])).
% 48.35/31.47 tff(5144,plain,
% 48.35/31.47 (v1(constB30) <=> v1(constB30)),
% 48.35/31.47 inference(rewrite,[status(thm)],[])).
% 48.35/31.47 tff(5145,axiom,(v1(constB30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_30_1')).
% 48.35/31.47 tff(5146,plain,
% 48.35/31.47 (v1(constB30)),
% 48.35/31.47 inference(modus_ponens,[status(thm)],[5145, 5144])).
% 48.35/31.47 tff(5147,plain,
% 48.35/31.47 (((~![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)))),
% 48.35/31.47 inference(rewrite,[status(thm)],[])).
% 48.35/31.47 tff(5148,plain,
% 48.35/31.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB29, constB30)) | v101(constB30) | (~v102(constB30)) | (~v1(constB30)))),
% 48.35/31.47 inference(quant_inst,[status(thm)],[])).
% 48.35/31.47 tff(5149,plain,
% 48.35/31.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB29, constB30)) | v101(constB30) | (~v102(constB30)) | (~v1(constB30))),
% 48.35/31.47 inference(modus_ponens,[status(thm)],[5148, 5147])).
% 48.35/31.47 tff(5150,plain,
% 48.35/31.47 (v101(constB30) | (~v102(constB30))),
% 48.35/31.47 inference(unit_resolution,[status(thm)],[5149, 303, 5128, 5146])).
% 48.35/31.47 tff(5151,plain,
% 48.35/31.47 (v101(constB30)),
% 48.35/31.47 inference(unit_resolution,[status(thm)],[5150, 5143])).
% 48.35/31.47 tff(5152,plain,
% 48.35/31.47 (((~![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)))),
% 48.35/31.47 inference(rewrite,[status(thm)],[])).
% 48.35/31.47 tff(5153,plain,
% 48.35/31.47 (((~nextState(constB29, constB30)) | (~v101(constB30)) | (~v110(constB30)) | v100(constB30)) <=> ((~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30)))),
% 48.35/31.47 inference(rewrite,[status(thm)],[])).
% 48.35/31.47 tff(5154,plain,
% 48.35/31.47 (((~![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))))),
% 48.35/31.47 inference(monotonicity,[status(thm)],[5153])).
% 48.35/31.47 tff(5155,plain,
% 48.35/31.47 (((~![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)))),
% 48.35/31.47 inference(transitivity,[status(thm)],[5154, 5152])).
% 48.35/31.47 tff(5156,plain,
% 48.35/31.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB29, constB30)) | (~v101(constB30)) | (~v110(constB30)) | v100(constB30))),
% 48.35/31.47 inference(quant_inst,[status(thm)],[])).
% 48.35/31.47 tff(5157,plain,
% 48.35/31.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30))),
% 48.35/31.47 inference(modus_ponens,[status(thm)],[5156, 5155])).
% 48.35/31.47 tff(5158,plain,
% 48.35/31.47 (v100(constB30) | (~v101(constB30)) | (~v110(constB30))),
% 48.35/31.47 inference(unit_resolution,[status(thm)],[5157, 318, 5128])).
% 48.35/31.47 tff(5159,plain,
% 48.35/31.47 (v100(constB30) | (~v110(constB30))),
% 48.35/31.47 inference(unit_resolution,[status(thm)],[5158, 5151])).
% 48.35/31.47 tff(5160,plain,
% 48.35/31.47 (~v110(constB30)),
% 48.35/31.47 inference(unit_resolution,[status(thm)],[5159, 5134])).
% 48.35/31.47 tff(5161,plain,
% 48.35/31.47 (((~![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)))),
% 48.35/31.47 inference(rewrite,[status(thm)],[])).
% 48.35/31.47 tff(5162,plain,
% 48.35/31.47 (((~nextState(constB29, constB30)) | (~v108(constB29)) | v110(constB30)) <=> ((~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29)))),
% 48.35/31.47 inference(rewrite,[status(thm)],[])).
% 48.35/31.47 tff(5163,plain,
% 48.35/31.47 (((~![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))))),
% 48.35/31.47 inference(monotonicity,[status(thm)],[5162])).
% 48.35/31.47 tff(5164,plain,
% 48.35/31.47 (((~![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)))),
% 48.35/31.47 inference(transitivity,[status(thm)],[5163, 5161])).
% 48.35/31.47 tff(5165,plain,
% 48.35/31.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB29, constB30)) | (~v108(constB29)) | v110(constB30))),
% 48.35/31.47 inference(quant_inst,[status(thm)],[])).
% 48.35/31.47 tff(5166,plain,
% 48.35/31.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29))),
% 48.35/31.47 inference(modus_ponens,[status(thm)],[5165, 5164])).
% 48.35/31.47 tff(5167,plain,
% 48.35/31.47 (v110(constB30) | (~v108(constB29))),
% 48.35/31.47 inference(unit_resolution,[status(thm)],[5166, 253, 5128])).
% 48.35/31.47 tff(5168,plain,
% 48.35/31.47 (~v108(constB29)),
% 48.35/31.47 inference(unit_resolution,[status(thm)],[5167, 5160])).
% 48.35/31.47 tff(5169,plain,
% 48.35/31.47 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB29) | (~v112(constB29)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB29) | (~v112(constB29)))),
% 48.35/31.47 inference(rewrite,[status(thm)],[])).
% 48.35/31.47 tff(5170,plain,
% 48.35/31.47 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB29) | (~v112(constB29)))),
% 48.35/31.47 inference(quant_inst,[status(thm)],[])).
% 48.35/31.47 tff(5171,plain,
% 48.35/31.47 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB29) | (~v112(constB29))),
% 48.35/31.47 inference(modus_ponens,[status(thm)],[5170, 5169])).
% 48.35/31.47 tff(5172,plain,
% 48.35/31.47 (~v112(constB29)),
% 48.35/31.47 inference(unit_resolution,[status(thm)],[5171, 236, 5168])).
% 48.35/31.47 tff(5173,plain,
% 48.35/31.47 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB29) | (~v26(constB29)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB29) | (~v26(constB29)))),
% 48.35/31.47 inference(rewrite,[status(thm)],[])).
% 48.35/31.47 tff(5174,plain,
% 48.35/31.47 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB29) | (~v26(constB29)))),
% 48.35/31.47 inference(quant_inst,[status(thm)],[])).
% 48.35/31.47 tff(5175,plain,
% 48.35/31.47 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB29) | (~v26(constB29))),
% 48.35/31.47 inference(modus_ponens,[status(thm)],[5174, 5173])).
% 48.35/31.47 tff(5176,plain,
% 48.35/31.47 (~v26(constB29)),
% 48.35/31.47 inference(unit_resolution,[status(thm)],[5175, 961, 5168])).
% 48.35/31.47 tff(5177,plain,
% 48.35/31.47 (((~![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))),
% 48.35/31.47 inference(rewrite,[status(thm)],[])).
% 48.35/31.47 tff(5178,plain,
% 48.35/31.47 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB29) | (~v113(constB29)) | v112(constB29))),
% 48.35/31.47 inference(quant_inst,[status(thm)],[])).
% 48.35/31.47 tff(5179,plain,
% 48.35/31.47 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB29) | (~v113(constB29)) | v112(constB29)),
% 48.35/31.47 inference(modus_ponens,[status(thm)],[5178, 5177])).
% 48.35/31.47 tff(5180,plain,
% 48.35/31.47 (~v113(constB29)),
% 48.35/31.47 inference(unit_resolution,[status(thm)],[5179, 224, 5176, 5172])).
% 48.35/31.47 tff(5181,plain,
% 48.35/31.47 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB29) | (~v114(constB29)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB29) | (~v114(constB29)))),
% 48.35/31.47 inference(rewrite,[status(thm)],[])).
% 48.35/31.47 tff(5182,plain,
% 48.35/31.47 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB29) | (~v114(constB29)))),
% 48.35/31.47 inference(quant_inst,[status(thm)],[])).
% 48.35/31.47 tff(5183,plain,
% 48.35/31.47 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB29) | (~v114(constB29))),
% 48.35/31.47 inference(modus_ponens,[status(thm)],[5182, 5181])).
% 48.35/31.47 tff(5184,plain,
% 48.35/31.47 (~v114(constB29)),
% 48.35/31.47 inference(unit_resolution,[status(thm)],[5183, 210, 5180])).
% 48.35/31.47 tff(5185,plain,
% 48.35/31.47 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB29) | (~v115(constB29)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB29) | (~v115(constB29)))),
% 48.35/31.47 inference(rewrite,[status(thm)],[])).
% 48.35/31.47 tff(5186,plain,
% 48.35/31.47 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB29) | (~v115(constB29)))),
% 48.35/31.47 inference(quant_inst,[status(thm)],[])).
% 48.35/31.47 tff(5187,plain,
% 48.35/31.47 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB29) | (~v115(constB29))),
% 48.35/31.47 inference(modus_ponens,[status(thm)],[5186, 5185])).
% 48.35/31.47 tff(5188,plain,
% 48.35/31.47 (~v115(constB29)),
% 48.35/31.47 inference(unit_resolution,[status(thm)],[5187, 199, 5184])).
% 48.35/31.47 tff(5189,plain,
% 48.35/31.47 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB29) | (~v116(constB29)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB29) | (~v116(constB29)))),
% 48.35/31.47 inference(rewrite,[status(thm)],[])).
% 48.35/31.47 tff(5190,plain,
% 48.35/31.47 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB29) | (~v116(constB29)))),
% 48.35/31.47 inference(quant_inst,[status(thm)],[])).
% 48.35/31.47 tff(5191,plain,
% 48.35/31.47 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB29) | (~v116(constB29))),
% 48.35/31.47 inference(modus_ponens,[status(thm)],[5190, 5189])).
% 48.35/31.47 tff(5192,plain,
% 48.35/31.47 (~v116(constB29)),
% 48.35/31.47 inference(unit_resolution,[status(thm)],[5191, 188, 5188])).
% 48.35/31.47 tff(5193,plain,
% 48.35/31.47 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB29) | (~v117(constB29)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB29) | (~v117(constB29)))),
% 48.35/31.47 inference(rewrite,[status(thm)],[])).
% 48.35/31.47 tff(5194,plain,
% 48.35/31.47 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB29) | (~v117(constB29)))),
% 48.35/31.47 inference(quant_inst,[status(thm)],[])).
% 48.35/31.47 tff(5195,plain,
% 48.35/31.47 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB29) | (~v117(constB29))),
% 48.35/31.47 inference(modus_ponens,[status(thm)],[5194, 5193])).
% 48.35/31.47 tff(5196,plain,
% 48.35/31.47 (~v117(constB29)),
% 48.35/31.47 inference(unit_resolution,[status(thm)],[5195, 177, 5192])).
% 48.35/31.47 tff(5197,plain,
% 48.35/31.47 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB29) | (~v118(constB29)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB29) | (~v118(constB29)))),
% 48.35/31.47 inference(rewrite,[status(thm)],[])).
% 48.35/31.47 tff(5198,plain,
% 48.35/31.47 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB29) | (~v118(constB29)))),
% 48.35/31.47 inference(quant_inst,[status(thm)],[])).
% 48.35/31.47 tff(5199,plain,
% 48.35/31.47 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB29) | (~v118(constB29))),
% 48.35/31.47 inference(modus_ponens,[status(thm)],[5198, 5197])).
% 48.35/31.47 tff(5200,plain,
% 48.35/31.47 (~v118(constB29)),
% 48.35/31.47 inference(unit_resolution,[status(thm)],[5199, 166, 5196])).
% 48.35/31.47 tff(5201,plain,
% 48.35/31.47 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB29) | (~v120(constB29)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB29) | (~v120(constB29)))),
% 48.35/31.47 inference(rewrite,[status(thm)],[])).
% 48.35/31.47 tff(5202,plain,
% 48.35/31.47 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB29) | (~v120(constB29)))),
% 48.35/31.47 inference(quant_inst,[status(thm)],[])).
% 48.35/31.47 tff(5203,plain,
% 48.35/31.47 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB29) | (~v120(constB29))),
% 48.35/31.47 inference(modus_ponens,[status(thm)],[5202, 5201])).
% 48.35/31.47 tff(5204,plain,
% 48.35/31.47 (~v120(constB29)),
% 48.35/31.47 inference(unit_resolution,[status(thm)],[5203, 1302, 5200])).
% 48.35/31.47 tff(5205,plain,
% 48.35/31.47 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB29) | (~v119(constB29)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB29) | (~v119(constB29)))),
% 48.35/31.47 inference(rewrite,[status(thm)],[])).
% 48.35/31.47 tff(5206,plain,
% 48.35/31.47 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB29) | (~v119(constB29)))),
% 48.35/31.47 inference(quant_inst,[status(thm)],[])).
% 48.35/31.47 tff(5207,plain,
% 48.35/31.47 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB29) | (~v119(constB29))),
% 48.35/31.47 inference(modus_ponens,[status(thm)],[5206, 5205])).
% 48.35/31.47 tff(5208,plain,
% 48.35/31.47 (~v119(constB29)),
% 48.35/31.47 inference(unit_resolution,[status(thm)],[5207, 155, 5200])).
% 48.35/31.47 tff(5209,plain,
% 48.35/31.47 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB29) | (~v122(constB29)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB29) | (~v122(constB29)))),
% 48.35/31.47 inference(rewrite,[status(thm)],[])).
% 48.35/31.47 tff(5210,plain,
% 48.35/31.47 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB29) | (~v122(constB29)))),
% 48.35/31.47 inference(quant_inst,[status(thm)],[])).
% 48.35/31.47 tff(5211,plain,
% 48.35/31.47 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB29) | (~v122(constB29))),
% 48.35/31.47 inference(modus_ponens,[status(thm)],[5210, 5209])).
% 48.35/31.47 tff(5212,plain,
% 48.35/31.47 (~v122(constB29)),
% 48.35/31.47 inference(unit_resolution,[status(thm)],[5211, 1800, 5192])).
% 48.35/31.47 tff(5213,plain,
% 48.35/31.47 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB29) | (~v121(constB29)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB29) | (~v121(constB29)))),
% 48.35/31.47 inference(rewrite,[status(thm)],[])).
% 48.35/31.47 tff(5214,plain,
% 48.35/31.47 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB29) | (~v121(constB29)))),
% 48.35/31.47 inference(quant_inst,[status(thm)],[])).
% 48.35/31.47 tff(5215,plain,
% 48.35/31.47 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB29) | (~v121(constB29))),
% 48.35/31.47 inference(modus_ponens,[status(thm)],[5214, 5213])).
% 48.35/31.47 tff(5216,plain,
% 48.35/31.47 (~v121(constB29)),
% 48.35/31.47 inference(unit_resolution,[status(thm)],[5215, 1562, 5196])).
% 48.35/31.47 tff(5217,assumption,(~v90(constB29, bitIndex2)), introduced(assumption)).
% 48.35/31.47 tff(5218,assumption,(~v120(constB29)), introduced(assumption)).
% 48.35/31.47 tff(5219,assumption,(~v119(constB29)), introduced(assumption)).
% 48.35/31.47 tff(5220,assumption,(~v90(constB29, bitIndex1)), introduced(assumption)).
% 48.35/31.47 tff(5221,plain,
% 48.35/31.47 (((~![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))),
% 48.35/31.47 inference(rewrite,[status(thm)],[])).
% 48.35/31.47 tff(5222,plain,
% 48.35/31.47 (((~v90(constB29, bitIndex0)) | v120(constB29) | v90(constB29, bitIndex1) | v90(constB29, bitIndex2)) <=> ((~v90(constB29, bitIndex0)) | v90(constB29, bitIndex1) | v90(constB29, bitIndex2) | v120(constB29))),
% 48.35/31.47 inference(rewrite,[status(thm)],[])).
% 48.35/31.47 tff(5223,plain,
% 48.35/31.47 (((~![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)))),
% 48.35/31.47 inference(monotonicity,[status(thm)],[5222])).
% 48.35/31.47 tff(5224,plain,
% 48.35/31.47 (((~![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))),
% 48.35/31.47 inference(transitivity,[status(thm)],[5223, 5221])).
% 48.35/31.47 tff(5225,plain,
% 48.35/31.47 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB29, bitIndex0)) | v120(constB29) | v90(constB29, bitIndex1) | v90(constB29, bitIndex2))),
% 48.35/31.47 inference(quant_inst,[status(thm)],[])).
% 48.35/31.47 tff(5226,plain,
% 48.35/31.47 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB29, bitIndex0)) | v90(constB29, bitIndex1) | v90(constB29, bitIndex2) | v120(constB29)),
% 48.35/31.47 inference(modus_ponens,[status(thm)],[5225, 5224])).
% 48.35/31.47 tff(5227,plain,
% 48.35/31.47 ((~v90(constB29, bitIndex0)) | v90(constB29, bitIndex1) | v90(constB29, bitIndex2)),
% 48.35/31.47 inference(unit_resolution,[status(thm)],[5226, 1285, 5218])).
% 48.35/31.47 tff(5228,plain,
% 48.35/31.47 (~v90(constB29, bitIndex0)),
% 48.35/31.47 inference(unit_resolution,[status(thm)],[5227, 5220, 5217])).
% 48.35/31.47 tff(5229,plain,
% 48.35/31.47 (((~![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))),
% 48.35/31.47 inference(rewrite,[status(thm)],[])).
% 48.35/31.47 tff(5230,plain,
% 48.35/31.47 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB29) | v90(constB29, bitIndex0) | v90(constB29, bitIndex1) | v90(constB29, bitIndex2))),
% 48.35/31.47 inference(quant_inst,[status(thm)],[])).
% 48.35/31.47 tff(5231,plain,
% 48.35/31.47 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB29) | v90(constB29, bitIndex0) | v90(constB29, bitIndex1) | v90(constB29, bitIndex2)),
% 48.35/31.47 inference(modus_ponens,[status(thm)],[5230, 5229])).
% 48.35/31.47 tff(5232,plain,
% 48.35/31.47 (v90(constB29, bitIndex0) | v90(constB29, bitIndex1) | v90(constB29, bitIndex2)),
% 48.35/31.47 inference(unit_resolution,[status(thm)],[5231, 144, 5219])).
% 48.35/31.47 tff(5233,plain,
% 48.35/31.47 ($false),
% 48.35/31.47 inference(unit_resolution,[status(thm)],[5232, 5228, 5220, 5217])).
% 48.35/31.47 tff(5234,plain,(v90(constB29, bitIndex1) | v90(constB29, bitIndex2) | v119(constB29) | v120(constB29)), inference(lemma,lemma(discharge,[]))).
% 48.35/31.47 tff(5235,plain,
% 48.35/31.47 (v90(constB29, bitIndex1)),
% 48.35/31.47 inference(unit_resolution,[status(thm)],[5234, 5217, 5219, 5218])).
% 48.35/31.47 tff(5236,assumption,(~v122(constB29)), introduced(assumption)).
% 48.35/31.47 tff(5237,plain,
% 48.35/31.47 (((~![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))),
% 48.35/31.47 inference(rewrite,[status(thm)],[])).
% 48.35/31.47 tff(5238,plain,
% 48.35/31.47 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB29, bitIndex0)) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex2) | v122(constB29))),
% 48.35/31.47 inference(quant_inst,[status(thm)],[])).
% 48.35/31.47 tff(5239,plain,
% 48.35/31.47 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB29, bitIndex0)) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex2) | v122(constB29)),
% 48.35/31.47 inference(modus_ponens,[status(thm)],[5238, 5237])).
% 48.35/31.47 tff(5240,plain,
% 48.35/31.47 ((~v90(constB29, bitIndex0)) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex2)),
% 48.35/31.47 inference(unit_resolution,[status(thm)],[5239, 1789, 5236])).
% 48.35/31.47 tff(5241,plain,
% 48.35/31.47 (~v90(constB29, bitIndex0)),
% 48.35/31.47 inference(unit_resolution,[status(thm)],[5240, 5235, 5217])).
% 48.35/31.47 tff(5242,assumption,(~v121(constB29)), introduced(assumption)).
% 48.35/31.47 tff(5243,plain,
% 48.35/31.47 (v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1)) | v90(constB29, bitIndex2)),
% 48.35/31.47 inference(unit_resolution,[status(thm)],[5108, 1551, 5242])).
% 48.35/31.47 tff(5244,plain,
% 48.35/31.47 ($false),
% 48.35/31.47 inference(unit_resolution,[status(thm)],[5243, 5241, 5235, 5217])).
% 48.35/31.47 tff(5245,plain,(v90(constB29, bitIndex2) | v121(constB29) | v122(constB29) | v119(constB29) | v120(constB29)), inference(lemma,lemma(discharge,[]))).
% 48.35/31.47 tff(5246,plain,
% 48.35/31.47 (v90(constB29, bitIndex2)),
% 48.35/31.47 inference(unit_resolution,[status(thm)],[5245, 5216, 5212, 5208, 5204])).
% 48.35/31.47 tff(5247,plain,
% 48.35/31.47 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB29) | (~v124(constB29)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB29) | (~v124(constB29)))),
% 48.35/31.47 inference(rewrite,[status(thm)],[])).
% 48.35/31.47 tff(5248,plain,
% 48.35/31.47 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB29) | (~v124(constB29)))),
% 48.35/31.47 inference(quant_inst,[status(thm)],[])).
% 48.35/31.47 tff(5249,plain,
% 48.35/31.47 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB29) | (~v124(constB29))),
% 48.35/31.47 inference(modus_ponens,[status(thm)],[5248, 5247])).
% 48.35/31.47 tff(5250,plain,
% 48.35/31.47 (~v124(constB29)),
% 48.35/31.47 inference(unit_resolution,[status(thm)],[5249, 2631, 5184])).
% 48.35/31.47 tff(5251,plain,
% 48.35/31.47 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB29) | (~v123(constB29)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB29) | (~v123(constB29)))),
% 48.35/31.47 inference(rewrite,[status(thm)],[])).
% 48.35/31.47 tff(5252,plain,
% 48.35/31.47 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB29) | (~v123(constB29)))),
% 48.35/31.47 inference(quant_inst,[status(thm)],[])).
% 48.35/31.47 tff(5253,plain,
% 48.35/31.47 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB29) | (~v123(constB29))),
% 48.35/31.47 inference(modus_ponens,[status(thm)],[5252, 5251])).
% 48.35/31.47 tff(5254,plain,
% 48.35/31.47 (~v123(constB29)),
% 48.35/31.47 inference(unit_resolution,[status(thm)],[5253, 595, 5188])).
% 48.35/31.47 tff(5255,assumption,(v90(constB29, bitIndex2)), introduced(assumption)).
% 48.35/31.47 tff(5256,assumption,(~v124(constB29)), introduced(assumption)).
% 48.35/31.47 tff(5257,plain,
% 48.35/31.47 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB29, bitIndex0)) | v90(constB29, bitIndex1) | (~v90(constB29, bitIndex2)) | v124(constB29))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB29, bitIndex0)) | v90(constB29, bitIndex1) | (~v90(constB29, bitIndex2)) | v124(constB29))),
% 48.35/31.47 inference(rewrite,[status(thm)],[])).
% 48.35/31.47 tff(5258,plain,
% 48.35/31.47 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB29, bitIndex0)) | v90(constB29, bitIndex1) | (~v90(constB29, bitIndex2)) | v124(constB29))),
% 48.35/31.48 inference(quant_inst,[status(thm)],[])).
% 48.35/31.48 tff(5259,plain,
% 48.35/31.48 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB29, bitIndex0)) | v90(constB29, bitIndex1) | (~v90(constB29, bitIndex2)) | v124(constB29)),
% 48.35/31.48 inference(modus_ponens,[status(thm)],[5258, 5257])).
% 48.35/31.48 tff(5260,plain,
% 48.35/31.48 ((~v90(constB29, bitIndex0)) | v90(constB29, bitIndex1) | (~v90(constB29, bitIndex2))),
% 48.35/31.48 inference(unit_resolution,[status(thm)],[5259, 2663, 5256])).
% 48.35/31.48 tff(5261,plain,
% 48.35/31.48 (~v90(constB29, bitIndex0)),
% 48.35/31.48 inference(unit_resolution,[status(thm)],[5260, 5220, 5255])).
% 48.35/31.48 tff(5262,assumption,(~v123(constB29)), introduced(assumption)).
% 48.35/31.48 tff(5263,plain,
% 48.35/31.48 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB29, bitIndex0) | v90(constB29, bitIndex1) | (~v90(constB29, bitIndex2)) | v123(constB29))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB29, bitIndex0) | v90(constB29, bitIndex1) | (~v90(constB29, bitIndex2)) | v123(constB29))),
% 48.35/31.48 inference(rewrite,[status(thm)],[])).
% 48.35/31.48 tff(5264,plain,
% 48.35/31.48 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB29, bitIndex0) | v90(constB29, bitIndex1) | (~v90(constB29, bitIndex2)) | v123(constB29))),
% 48.35/31.48 inference(quant_inst,[status(thm)],[])).
% 48.35/31.48 tff(5265,plain,
% 48.35/31.48 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB29, bitIndex0) | v90(constB29, bitIndex1) | (~v90(constB29, bitIndex2)) | v123(constB29)),
% 48.35/31.48 inference(modus_ponens,[status(thm)],[5264, 5263])).
% 48.35/31.48 tff(5266,plain,
% 48.35/31.48 (v90(constB29, bitIndex0) | v90(constB29, bitIndex1) | (~v90(constB29, bitIndex2))),
% 48.35/31.48 inference(unit_resolution,[status(thm)],[5265, 584, 5262])).
% 48.35/31.48 tff(5267,plain,
% 48.35/31.48 ($false),
% 48.35/31.48 inference(unit_resolution,[status(thm)],[5266, 5261, 5220, 5255])).
% 48.35/31.48 tff(5268,plain,(v90(constB29, bitIndex1) | (~v90(constB29, bitIndex2)) | v123(constB29) | v124(constB29)), inference(lemma,lemma(discharge,[]))).
% 48.35/31.48 tff(5269,plain,
% 48.35/31.48 (v90(constB29, bitIndex1)),
% 48.35/31.48 inference(unit_resolution,[status(thm)],[5268, 5246, 5254, 5250])).
% 48.35/31.48 tff(5270,plain,
% 48.35/31.48 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB29) | (~v125(constB29)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB29) | (~v125(constB29)))),
% 48.35/31.48 inference(rewrite,[status(thm)],[])).
% 48.35/31.48 tff(5271,plain,
% 48.35/31.48 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB29) | (~v125(constB29)))),
% 48.35/31.48 inference(quant_inst,[status(thm)],[])).
% 48.35/31.48 tff(5272,plain,
% 48.35/31.48 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB29) | (~v125(constB29))),
% 48.35/31.48 inference(modus_ponens,[status(thm)],[5271, 5270])).
% 48.35/31.48 tff(5273,plain,
% 48.35/31.48 (~v125(constB29)),
% 48.35/31.48 inference(unit_resolution,[status(thm)],[5272, 1031, 5180])).
% 48.35/31.48 tff(5274,plain,
% 48.35/31.48 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1)) | (~v90(constB29, bitIndex2)) | v125(constB29))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1)) | (~v90(constB29, bitIndex2)) | v125(constB29))),
% 48.35/31.48 inference(rewrite,[status(thm)],[])).
% 48.35/31.48 tff(5275,plain,
% 48.35/31.48 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1)) | (~v90(constB29, bitIndex2)) | v125(constB29))),
% 48.35/31.48 inference(quant_inst,[status(thm)],[])).
% 48.35/31.48 tff(5276,plain,
% 48.35/31.48 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1)) | (~v90(constB29, bitIndex2)) | v125(constB29)),
% 48.35/31.48 inference(modus_ponens,[status(thm)],[5275, 5274])).
% 48.35/31.48 tff(5277,plain,
% 48.35/31.48 (v90(constB29, bitIndex0) | (~v90(constB29, bitIndex1)) | (~v90(constB29, bitIndex2))),
% 48.35/31.48 inference(unit_resolution,[status(thm)],[5276, 1019, 5273])).
% 48.35/31.48 tff(5278,plain,
% 48.35/31.48 (v90(constB29, bitIndex0)),
% 48.35/31.48 inference(unit_resolution,[status(thm)],[5277, 5269, 5246])).
% 48.35/31.48 tff(5279,plain,
% 48.35/31.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB29, bitIndex2)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB29, bitIndex2)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, bitIndex2))),
% 48.35/31.48 inference(rewrite,[status(thm)],[])).
% 48.35/31.48 tff(5280,plain,
% 48.35/31.48 (((~nextState(constB29, constB30)) | (~v90(constB29, bitIndex2)) | v100(constB30) | v90(constB30, bitIndex2)) <=> ((~v90(constB29, bitIndex2)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, bitIndex2))),
% 48.35/31.48 inference(rewrite,[status(thm)],[])).
% 48.35/31.48 tff(5281,plain,
% 48.35/31.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB29, constB30)) | (~v90(constB29, bitIndex2)) | v100(constB30) | v90(constB30, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB29, bitIndex2)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, bitIndex2)))),
% 48.35/31.48 inference(monotonicity,[status(thm)],[5280])).
% 48.35/31.48 tff(5282,plain,
% 48.35/31.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB29, constB30)) | (~v90(constB29, bitIndex2)) | v100(constB30) | v90(constB30, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB29, bitIndex2)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, bitIndex2))),
% 48.35/31.48 inference(transitivity,[status(thm)],[5281, 5279])).
% 48.35/31.48 tff(5283,plain,
% 48.35/31.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB29, constB30)) | (~v90(constB29, bitIndex2)) | v100(constB30) | v90(constB30, bitIndex2))),
% 48.35/31.48 inference(quant_inst,[status(thm)],[])).
% 48.35/31.48 tff(5284,plain,
% 48.35/31.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB29, bitIndex2)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, bitIndex2)),
% 48.35/31.48 inference(modus_ponens,[status(thm)],[5283, 5282])).
% 48.35/31.48 tff(5285,plain,
% 48.35/31.48 ((~v90(constB29, bitIndex2)) | v100(constB30) | v90(constB30, bitIndex2)),
% 48.35/31.48 inference(unit_resolution,[status(thm)],[5284, 417, 5128])).
% 48.35/31.48 tff(5286,plain,
% 48.35/31.48 (v90(constB30, bitIndex2)),
% 48.35/31.48 inference(unit_resolution,[status(thm)],[5285, 5246, 5134])).
% 48.35/31.48 tff(5287,assumption,(~v90(constB25, bitIndex0)), introduced(assumption)).
% 48.35/31.48 tff(5288,plain,
% 48.35/31.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB29, bitIndex1)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB29, bitIndex1)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, bitIndex1))),
% 48.35/31.48 inference(rewrite,[status(thm)],[])).
% 48.35/31.48 tff(5289,plain,
% 48.35/31.48 (((~nextState(constB29, constB30)) | (~v90(constB29, bitIndex1)) | v100(constB30) | v90(constB30, bitIndex1)) <=> ((~v90(constB29, bitIndex1)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, bitIndex1))),
% 48.35/31.48 inference(rewrite,[status(thm)],[])).
% 48.35/31.48 tff(5290,plain,
% 48.35/31.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB29, constB30)) | (~v90(constB29, bitIndex1)) | v100(constB30) | v90(constB30, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB29, bitIndex1)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, bitIndex1)))),
% 48.35/31.48 inference(monotonicity,[status(thm)],[5289])).
% 48.35/31.48 tff(5291,plain,
% 48.35/31.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB29, constB30)) | (~v90(constB29, bitIndex1)) | v100(constB30) | v90(constB30, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB29, bitIndex1)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, bitIndex1))),
% 48.35/31.48 inference(transitivity,[status(thm)],[5290, 5288])).
% 48.35/31.48 tff(5292,plain,
% 48.35/31.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB29, constB30)) | (~v90(constB29, bitIndex1)) | v100(constB30) | v90(constB30, bitIndex1))),
% 48.35/31.48 inference(quant_inst,[status(thm)],[])).
% 48.35/31.48 tff(5293,plain,
% 48.35/31.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB29, bitIndex1)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, bitIndex1)),
% 48.35/31.48 inference(modus_ponens,[status(thm)],[5292, 5291])).
% 48.35/31.48 tff(5294,plain,
% 48.35/31.48 ((~v90(constB29, bitIndex1)) | v100(constB30) | v90(constB30, bitIndex1)),
% 48.35/31.48 inference(unit_resolution,[status(thm)],[5293, 747, 5128])).
% 48.35/31.48 tff(5295,plain,
% 48.35/31.48 (v90(constB30, bitIndex1)),
% 48.35/31.48 inference(unit_resolution,[status(thm)],[5294, 5269, 5134])).
% 48.35/31.48 tff(5296,assumption,(v90(constB30, bitIndex1)), introduced(assumption)).
% 48.35/31.48 tff(5297,plain,
% 48.35/31.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB29, bitIndex1) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB29, bitIndex1) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex1)))),
% 48.35/31.48 inference(rewrite,[status(thm)],[])).
% 48.35/31.48 tff(5298,plain,
% 48.35/31.48 (((~nextState(constB29, constB30)) | v90(constB29, bitIndex1) | v100(constB30) | (~v90(constB30, bitIndex1))) <=> (v90(constB29, bitIndex1) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex1)))),
% 48.35/31.48 inference(rewrite,[status(thm)],[])).
% 48.35/31.48 tff(5299,plain,
% 48.35/31.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB29, constB30)) | v90(constB29, bitIndex1) | v100(constB30) | (~v90(constB30, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB29, bitIndex1) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex1))))),
% 48.35/31.48 inference(monotonicity,[status(thm)],[5298])).
% 48.35/31.48 tff(5300,plain,
% 48.35/31.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB29, constB30)) | v90(constB29, bitIndex1) | v100(constB30) | (~v90(constB30, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB29, bitIndex1) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex1)))),
% 48.35/31.48 inference(transitivity,[status(thm)],[5299, 5297])).
% 48.35/31.48 tff(5301,plain,
% 48.35/31.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB29, constB30)) | v90(constB29, bitIndex1) | v100(constB30) | (~v90(constB30, bitIndex1)))),
% 48.35/31.48 inference(quant_inst,[status(thm)],[])).
% 48.35/31.48 tff(5302,plain,
% 48.35/31.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB29, bitIndex1) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex1))),
% 48.35/31.48 inference(modus_ponens,[status(thm)],[5301, 5300])).
% 48.35/31.48 tff(5303,plain,
% 48.35/31.48 (v90(constB29, bitIndex1) | v100(constB30) | (~v90(constB30, bitIndex1))),
% 48.35/31.48 inference(unit_resolution,[status(thm)],[5302, 102, 5128])).
% 48.35/31.48 tff(5304,plain,
% 48.35/31.48 (v90(constB29, bitIndex1)),
% 48.35/31.48 inference(unit_resolution,[status(thm)],[5303, 5134, 5296])).
% 48.35/31.48 tff(5305,plain,
% 48.35/31.48 (((~![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)))),
% 48.35/31.48 inference(rewrite,[status(thm)],[])).
% 48.35/31.48 tff(5306,plain,
% 48.35/31.48 (((~nextState(constB28, constB29)) | v90(constB28, bitIndex1) | v100(constB29) | (~v90(constB29, bitIndex1))) <=> (v90(constB28, bitIndex1) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, bitIndex1)))),
% 48.35/31.48 inference(rewrite,[status(thm)],[])).
% 48.35/31.48 tff(5307,plain,
% 48.35/31.48 (((~![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))))),
% 48.35/31.48 inference(monotonicity,[status(thm)],[5306])).
% 48.35/31.48 tff(5308,plain,
% 48.35/31.48 (((~![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)))),
% 48.35/31.48 inference(transitivity,[status(thm)],[5307, 5305])).
% 48.35/31.48 tff(5309,plain,
% 48.35/31.48 ((~![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)))),
% 48.35/31.48 inference(quant_inst,[status(thm)],[])).
% 48.35/31.48 tff(5310,plain,
% 48.35/31.48 ((~![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))),
% 48.35/31.48 inference(modus_ponens,[status(thm)],[5309, 5308])).
% 48.35/31.48 tff(5311,plain,
% 48.35/31.48 (v90(constB28, bitIndex1) | v100(constB29) | (~v90(constB29, bitIndex1))),
% 48.35/31.48 inference(unit_resolution,[status(thm)],[5310, 102, 5019])).
% 48.35/31.48 tff(5312,plain,
% 48.35/31.48 (v90(constB28, bitIndex1) | (~v90(constB29, bitIndex1))),
% 48.35/31.48 inference(unit_resolution,[status(thm)],[5311, 5031])).
% 48.35/31.48 tff(5313,plain,
% 48.35/31.48 (v90(constB28, bitIndex1)),
% 48.35/31.48 inference(unit_resolution,[status(thm)],[5312, 5304])).
% 48.35/31.48 tff(5314,assumption,(v90(constB30, bitIndex2)), introduced(assumption)).
% 48.35/31.48 tff(5315,plain,
% 48.35/31.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB29, bitIndex2) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB29, bitIndex2) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex2)))),
% 48.35/31.48 inference(rewrite,[status(thm)],[])).
% 48.35/31.48 tff(5316,plain,
% 48.35/31.48 (((~nextState(constB29, constB30)) | v90(constB29, bitIndex2) | v100(constB30) | (~v90(constB30, bitIndex2))) <=> (v90(constB29, bitIndex2) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex2)))),
% 48.35/31.48 inference(rewrite,[status(thm)],[])).
% 48.35/31.48 tff(5317,plain,
% 48.35/31.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB29, constB30)) | v90(constB29, bitIndex2) | v100(constB30) | (~v90(constB30, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB29, bitIndex2) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex2))))),
% 48.35/31.48 inference(monotonicity,[status(thm)],[5316])).
% 48.35/31.48 tff(5318,plain,
% 48.35/31.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB29, constB30)) | v90(constB29, bitIndex2) | v100(constB30) | (~v90(constB30, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB29, bitIndex2) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex2)))),
% 48.44/31.48 inference(transitivity,[status(thm)],[5317, 5315])).
% 48.44/31.48 tff(5319,plain,
% 48.44/31.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB29, constB30)) | v90(constB29, bitIndex2) | v100(constB30) | (~v90(constB30, bitIndex2)))),
% 48.44/31.48 inference(quant_inst,[status(thm)],[])).
% 48.44/31.48 tff(5320,plain,
% 48.44/31.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB29, bitIndex2) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex2))),
% 48.44/31.48 inference(modus_ponens,[status(thm)],[5319, 5318])).
% 48.44/31.48 tff(5321,plain,
% 48.44/31.48 (v90(constB29, bitIndex2) | v100(constB30) | (~v90(constB30, bitIndex2))),
% 48.44/31.48 inference(unit_resolution,[status(thm)],[5320, 81, 5128])).
% 48.44/31.48 tff(5322,plain,
% 48.44/31.48 (v90(constB29, bitIndex2)),
% 48.44/31.48 inference(unit_resolution,[status(thm)],[5321, 5134, 5314])).
% 48.44/31.48 tff(5323,plain,
% 48.44/31.48 (v90(constB28, bitIndex2)),
% 48.44/31.48 inference(unit_resolution,[status(thm)],[5039, 5322])).
% 48.44/31.48 tff(5324,assumption,(v90(constB30, bitIndex0)), introduced(assumption)).
% 48.44/31.48 tff(5325,plain,
% 48.44/31.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB29, bitIndex0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB29, bitIndex0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex0)))),
% 48.44/31.48 inference(rewrite,[status(thm)],[])).
% 48.44/31.48 tff(5326,plain,
% 48.44/31.48 (((~nextState(constB29, constB30)) | v90(constB29, bitIndex0) | v100(constB30) | (~v90(constB30, bitIndex0))) <=> (v90(constB29, bitIndex0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex0)))),
% 48.44/31.48 inference(rewrite,[status(thm)],[])).
% 48.44/31.48 tff(5327,plain,
% 48.44/31.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB29, constB30)) | v90(constB29, bitIndex0) | v100(constB30) | (~v90(constB30, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB29, bitIndex0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex0))))),
% 48.44/31.48 inference(monotonicity,[status(thm)],[5326])).
% 48.44/31.48 tff(5328,plain,
% 48.44/31.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB29, constB30)) | v90(constB29, bitIndex0) | v100(constB30) | (~v90(constB30, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB29, bitIndex0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex0)))),
% 48.44/31.48 inference(transitivity,[status(thm)],[5327, 5325])).
% 48.44/31.48 tff(5329,plain,
% 48.44/31.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB29, constB30)) | v90(constB29, bitIndex0) | v100(constB30) | (~v90(constB30, bitIndex0)))),
% 48.44/31.48 inference(quant_inst,[status(thm)],[])).
% 48.44/31.48 tff(5330,plain,
% 48.44/31.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB29, bitIndex0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, bitIndex0))),
% 48.44/31.48 inference(modus_ponens,[status(thm)],[5329, 5328])).
% 48.44/31.48 tff(5331,plain,
% 48.44/31.48 (v90(constB29, bitIndex0) | v100(constB30) | (~v90(constB30, bitIndex0))),
% 48.44/31.48 inference(unit_resolution,[status(thm)],[5330, 123, 5128])).
% 48.44/31.48 tff(5332,plain,
% 48.44/31.48 (v90(constB29, bitIndex0)),
% 48.44/31.48 inference(unit_resolution,[status(thm)],[5331, 5134, 5324])).
% 48.44/31.48 tff(5333,plain,
% 48.44/31.48 (v90(constB28, bitIndex0)),
% 48.44/31.48 inference(unit_resolution,[status(thm)],[5104, 5332])).
% 48.44/31.48 tff(5334,assumption,(v90(constB28, bitIndex0)), introduced(assumption)).
% 48.44/31.48 tff(5335,assumption,(~v90(constB27, bitIndex0)), introduced(assumption)).
% 48.44/31.48 tff(5336,plain,
% 48.44/31.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB27, bitIndex0) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB27, bitIndex0) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex0)))),
% 48.44/31.48 inference(rewrite,[status(thm)],[])).
% 48.44/31.48 tff(5337,plain,
% 48.44/31.48 (((~nextState(constB27, constB28)) | v90(constB27, bitIndex0) | v100(constB28) | (~v90(constB28, bitIndex0))) <=> (v90(constB27, bitIndex0) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex0)))),
% 48.44/31.48 inference(rewrite,[status(thm)],[])).
% 48.44/31.48 tff(5338,plain,
% 48.44/31.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB27, constB28)) | v90(constB27, bitIndex0) | v100(constB28) | (~v90(constB28, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB27, bitIndex0) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex0))))),
% 48.44/31.48 inference(monotonicity,[status(thm)],[5337])).
% 48.44/31.48 tff(5339,plain,
% 48.44/31.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB27, constB28)) | v90(constB27, bitIndex0) | v100(constB28) | (~v90(constB28, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB27, bitIndex0) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex0)))),
% 48.44/31.48 inference(transitivity,[status(thm)],[5338, 5336])).
% 48.44/31.48 tff(5340,plain,
% 48.44/31.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB27, constB28)) | v90(constB27, bitIndex0) | v100(constB28) | (~v90(constB28, bitIndex0)))),
% 48.44/31.48 inference(quant_inst,[status(thm)],[])).
% 48.44/31.48 tff(5341,plain,
% 48.44/31.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB27, bitIndex0) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex0))),
% 48.44/31.48 inference(modus_ponens,[status(thm)],[5340, 5339])).
% 48.44/31.48 tff(5342,plain,
% 48.44/31.48 (v90(constB27, bitIndex0) | v100(constB28) | (~v90(constB28, bitIndex0))),
% 48.44/31.48 inference(unit_resolution,[status(thm)],[5341, 123, 4954])).
% 48.44/31.48 tff(5343,plain,
% 48.44/31.48 (v100(constB28)),
% 48.44/31.48 inference(unit_resolution,[status(thm)],[5342, 5335, 5334])).
% 48.44/31.48 tff(5344,plain,
% 48.44/31.48 (v129(constB28, bitIndex0) | (~v100(constB28))),
% 48.44/31.48 inference(unit_resolution,[status(thm)],[5094, 557, 5334])).
% 48.44/31.48 tff(5345,plain,
% 48.44/31.48 (v129(constB28, bitIndex0)),
% 48.44/31.48 inference(unit_resolution,[status(thm)],[5344, 5343])).
% 48.44/31.48 tff(5346,plain,
% 48.44/31.48 (v127(constB27, bitIndex0)),
% 48.44/31.48 inference(unit_resolution,[status(thm)],[5087, 5345])).
% 48.44/31.48 tff(5347,plain,
% 48.44/31.48 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB27)) | (~v127(constB27, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB27)) | (~v127(constB27, bitIndex0)))),
% 48.44/31.48 inference(rewrite,[status(thm)],[])).
% 48.44/31.48 tff(5348,plain,
% 48.44/31.48 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB27)) | (~v127(constB27, bitIndex0)))),
% 48.44/31.48 inference(quant_inst,[status(thm)],[])).
% 48.44/31.48 tff(5349,plain,
% 48.44/31.48 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB27)) | (~v127(constB27, bitIndex0))),
% 48.44/31.48 inference(modus_ponens,[status(thm)],[5348, 5347])).
% 48.44/31.48 tff(5350,plain,
% 48.44/31.48 (~v26(constB27)),
% 48.44/31.48 inference(unit_resolution,[status(thm)],[5349, 1514, 5346])).
% 48.44/31.48 tff(5351,plain,
% 48.44/31.48 (v130(constB27, bitIndex0)),
% 48.44/31.48 inference(unit_resolution,[status(thm)],[5081, 524, 5346, 5350])).
% 48.44/31.48 tff(5352,plain,
% 48.44/31.48 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB27)) | (~v130(constB27, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB27)) | (~v130(constB27, bitIndex0)))),
% 48.44/31.48 inference(rewrite,[status(thm)],[])).
% 48.44/31.48 tff(5353,plain,
% 48.44/31.48 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB27)) | (~v130(constB27, bitIndex0)))),
% 48.44/31.48 inference(quant_inst,[status(thm)],[])).
% 48.44/31.48 tff(5354,plain,
% 48.44/31.48 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB27)) | (~v130(constB27, bitIndex0))),
% 48.44/31.48 inference(modus_ponens,[status(thm)],[5353, 5352])).
% 48.44/31.48 tff(5355,plain,
% 48.44/31.48 (~v119(constB27)),
% 48.44/31.48 inference(unit_resolution,[status(thm)],[5354, 510, 5351])).
% 48.44/31.48 tff(5356,plain,
% 48.44/31.48 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB27, bitIndex0) | (~v120(constB27)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB27, bitIndex0) | (~v120(constB27)))),
% 48.44/31.48 inference(rewrite,[status(thm)],[])).
% 48.44/31.48 tff(5357,plain,
% 48.44/31.48 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB27, bitIndex0) | (~v120(constB27)))),
% 48.44/31.48 inference(quant_inst,[status(thm)],[])).
% 48.44/31.48 tff(5358,plain,
% 48.44/31.48 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB27, bitIndex0) | (~v120(constB27))),
% 48.44/31.48 inference(modus_ponens,[status(thm)],[5357, 5356])).
% 48.44/31.48 tff(5359,plain,
% 48.44/31.48 (~v120(constB27)),
% 48.44/31.48 inference(unit_resolution,[status(thm)],[5358, 2943, 5335])).
% 48.44/31.48 tff(5360,plain,
% 48.44/31.48 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB27, bitIndex0) | (~v122(constB27)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB27, bitIndex0) | (~v122(constB27)))),
% 48.44/31.48 inference(rewrite,[status(thm)],[])).
% 48.44/31.48 tff(5361,plain,
% 48.44/31.48 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB27, bitIndex0) | (~v122(constB27)))),
% 48.44/31.48 inference(quant_inst,[status(thm)],[])).
% 48.44/31.48 tff(5362,plain,
% 48.44/31.48 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB27, bitIndex0) | (~v122(constB27))),
% 48.44/31.48 inference(modus_ponens,[status(thm)],[5361, 5360])).
% 48.44/31.48 tff(5363,plain,
% 48.44/31.48 (~v122(constB27)),
% 48.44/31.48 inference(unit_resolution,[status(thm)],[5362, 2921, 5335])).
% 48.44/31.48 tff(5364,plain,
% 48.44/31.48 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB27)) | (~v130(constB27, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB27)) | (~v130(constB27, bitIndex0)))),
% 48.44/31.48 inference(rewrite,[status(thm)],[])).
% 48.44/31.48 tff(5365,plain,
% 48.44/31.48 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB27)) | (~v130(constB27, bitIndex0)))),
% 48.44/31.48 inference(quant_inst,[status(thm)],[])).
% 48.44/31.48 tff(5366,plain,
% 48.44/31.48 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB27)) | (~v130(constB27, bitIndex0))),
% 48.44/31.48 inference(modus_ponens,[status(thm)],[5365, 5364])).
% 48.44/31.48 tff(5367,plain,
% 48.44/31.48 (~v123(constB27)),
% 48.44/31.48 inference(unit_resolution,[status(thm)],[5366, 975, 5351])).
% 48.44/31.48 tff(5368,plain,
% 48.44/31.48 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB27, bitIndex0) | (~v124(constB27)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB27, bitIndex0) | (~v124(constB27)))),
% 48.44/31.48 inference(rewrite,[status(thm)],[])).
% 48.44/31.48 tff(5369,plain,
% 48.44/31.48 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB27, bitIndex0) | (~v124(constB27)))),
% 48.44/31.48 inference(quant_inst,[status(thm)],[])).
% 48.44/31.49 tff(5370,plain,
% 48.44/31.49 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB27, bitIndex0) | (~v124(constB27))),
% 48.44/31.49 inference(modus_ponens,[status(thm)],[5369, 5368])).
% 48.44/31.49 tff(5371,plain,
% 48.44/31.49 (~v124(constB27)),
% 48.44/31.49 inference(unit_resolution,[status(thm)],[5370, 2932, 5335])).
% 48.44/31.49 tff(5372,assumption,(v90(constB28, bitIndex1)), introduced(assumption)).
% 48.44/31.49 tff(5373,plain,
% 48.44/31.49 (((~![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)))),
% 48.44/31.49 inference(rewrite,[status(thm)],[])).
% 48.44/31.49 tff(5374,plain,
% 48.44/31.49 (((~v90(constB28, bitIndex1)) | (~v100(constB28)) | v129(constB28, bitIndex1)) <=> ((~v90(constB28, bitIndex1)) | v129(constB28, bitIndex1) | (~v100(constB28)))),
% 48.44/31.49 inference(rewrite,[status(thm)],[])).
% 48.44/31.49 tff(5375,plain,
% 48.44/31.49 (((~![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))))),
% 48.44/31.49 inference(monotonicity,[status(thm)],[5374])).
% 48.44/31.49 tff(5376,plain,
% 48.44/31.49 (((~![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)))),
% 48.44/31.49 inference(transitivity,[status(thm)],[5375, 5373])).
% 48.44/31.49 tff(5377,plain,
% 48.44/31.49 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB28, bitIndex1)) | (~v100(constB28)) | v129(constB28, bitIndex1))),
% 48.44/31.49 inference(quant_inst,[status(thm)],[])).
% 48.44/31.49 tff(5378,plain,
% 48.44/31.49 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB28, bitIndex1)) | v129(constB28, bitIndex1) | (~v100(constB28))),
% 48.44/31.49 inference(modus_ponens,[status(thm)],[5377, 5376])).
% 48.44/31.49 tff(5379,plain,
% 48.44/31.49 (v129(constB28, bitIndex1) | (~v100(constB28))),
% 48.44/31.49 inference(unit_resolution,[status(thm)],[5378, 483, 5372])).
% 48.44/31.49 tff(5380,plain,
% 48.44/31.49 (v129(constB28, bitIndex1)),
% 48.44/31.49 inference(unit_resolution,[status(thm)],[5379, 5343])).
% 48.44/31.49 tff(5381,plain,
% 48.44/31.49 (((~![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)))),
% 48.44/31.49 inference(rewrite,[status(thm)],[])).
% 48.44/31.49 tff(5382,plain,
% 48.44/31.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB27, constB28)) | v127(constB27, bitIndex1) | (~v129(constB28, bitIndex1)))),
% 48.44/31.49 inference(quant_inst,[status(thm)],[])).
% 48.44/31.49 tff(5383,plain,
% 48.44/31.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB27, constB28)) | v127(constB27, bitIndex1) | (~v129(constB28, bitIndex1))),
% 48.44/31.49 inference(modus_ponens,[status(thm)],[5382, 5381])).
% 48.44/31.49 tff(5384,plain,
% 48.44/31.49 (v127(constB27, bitIndex1) | (~v129(constB28, bitIndex1))),
% 48.44/31.49 inference(unit_resolution,[status(thm)],[5383, 468, 4954])).
% 48.44/31.49 tff(5385,plain,
% 48.44/31.49 (v127(constB27, bitIndex1)),
% 48.44/31.49 inference(unit_resolution,[status(thm)],[5384, 5380])).
% 48.44/31.49 tff(5386,plain,
% 48.44/31.49 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB27, bitIndex1)) | v26(constB27) | v130(constB27, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB27, bitIndex1)) | v26(constB27) | v130(constB27, bitIndex1))),
% 48.44/31.49 inference(rewrite,[status(thm)],[])).
% 48.44/31.49 tff(5387,plain,
% 48.44/31.49 ((v26(constB27) | v130(constB27, bitIndex1) | (~v127(constB27, bitIndex1))) <=> ((~v127(constB27, bitIndex1)) | v26(constB27) | v130(constB27, bitIndex1))),
% 48.44/31.49 inference(rewrite,[status(thm)],[])).
% 48.44/31.49 tff(5388,plain,
% 48.44/31.49 (((~![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)))) | ((~v127(constB27, bitIndex1)) | v26(constB27) | v130(constB27, bitIndex1)))),
% 48.44/31.49 inference(monotonicity,[status(thm)],[5387])).
% 48.44/31.49 tff(5389,plain,
% 48.44/31.49 (((~![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)))) | (~v127(constB27, bitIndex1)) | v26(constB27) | v130(constB27, bitIndex1))),
% 48.44/31.49 inference(transitivity,[status(thm)],[5388, 5386])).
% 48.44/31.49 tff(5390,plain,
% 48.44/31.49 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB27) | v130(constB27, bitIndex1) | (~v127(constB27, bitIndex1)))),
% 48.44/31.49 inference(quant_inst,[status(thm)],[])).
% 48.44/31.49 tff(5391,plain,
% 48.44/31.49 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB27, bitIndex1)) | v26(constB27) | v130(constB27, bitIndex1)),
% 48.44/31.49 inference(modus_ponens,[status(thm)],[5390, 5389])).
% 48.44/31.49 tff(5392,plain,
% 48.44/31.49 (v130(constB27, bitIndex1)),
% 48.44/31.49 inference(unit_resolution,[status(thm)],[5391, 450, 5385, 5350])).
% 48.44/31.49 tff(5393,plain,
% 48.44/31.49 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB27) | v123(constB27) | v122(constB27) | v121(constB27) | v120(constB27) | v119(constB27) | (~v130(constB27, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB27) | v123(constB27) | v122(constB27) | v121(constB27) | v120(constB27) | v119(constB27) | (~v130(constB27, bitIndex1)))),
% 48.44/31.49 inference(rewrite,[status(thm)],[])).
% 48.44/31.49 tff(5394,plain,
% 48.44/31.49 ((v120(constB27) | v119(constB27) | v121(constB27) | v122(constB27) | v123(constB27) | v124(constB27) | (~v130(constB27, bitIndex1))) <=> (v124(constB27) | v123(constB27) | v122(constB27) | v121(constB27) | v120(constB27) | v119(constB27) | (~v130(constB27, bitIndex1)))),
% 48.44/31.49 inference(rewrite,[status(thm)],[])).
% 48.44/31.49 tff(5395,plain,
% 48.44/31.49 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB27) | v119(constB27) | v121(constB27) | v122(constB27) | v123(constB27) | v124(constB27) | (~v130(constB27, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB27) | v123(constB27) | v122(constB27) | v121(constB27) | v120(constB27) | v119(constB27) | (~v130(constB27, bitIndex1))))),
% 48.44/31.49 inference(monotonicity,[status(thm)],[5394])).
% 48.44/31.49 tff(5396,plain,
% 48.44/31.49 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB27) | v119(constB27) | v121(constB27) | v122(constB27) | v123(constB27) | v124(constB27) | (~v130(constB27, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB27) | v123(constB27) | v122(constB27) | v121(constB27) | v120(constB27) | v119(constB27) | (~v130(constB27, bitIndex1)))),
% 48.44/31.49 inference(transitivity,[status(thm)],[5395, 5393])).
% 48.44/31.49 tff(5397,plain,
% 48.44/31.49 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB27) | v119(constB27) | v121(constB27) | v122(constB27) | v123(constB27) | v124(constB27) | (~v130(constB27, bitIndex1)))),
% 48.44/31.49 inference(quant_inst,[status(thm)],[])).
% 48.44/31.49 tff(5398,plain,
% 48.44/31.49 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB27) | v123(constB27) | v122(constB27) | v121(constB27) | v120(constB27) | v119(constB27) | (~v130(constB27, bitIndex1))),
% 48.44/31.49 inference(modus_ponens,[status(thm)],[5397, 5396])).
% 48.44/31.49 tff(5399,plain,
% 48.44/31.49 (v121(constB27)),
% 48.44/31.49 inference(unit_resolution,[status(thm)],[5398, 1143, 5392, 5371, 5367, 5363, 5359, 5355])).
% 48.44/31.49 tff(5400,assumption,(v90(constB28, bitIndex2)), introduced(assumption)).
% 48.44/31.49 tff(5401,plain,
% 48.44/31.49 (v129(constB28, bitIndex2) | (~v100(constB28))),
% 48.44/31.49 inference(unit_resolution,[status(thm)],[5011, 1258, 5400])).
% 48.44/31.49 tff(5402,plain,
% 48.44/31.49 (v129(constB28, bitIndex2)),
% 48.44/31.49 inference(unit_resolution,[status(thm)],[5401, 5343])).
% 48.44/31.49 tff(5403,plain,
% 48.44/31.49 (v127(constB27, bitIndex2)),
% 48.44/31.49 inference(unit_resolution,[status(thm)],[5004, 5402])).
% 48.44/31.49 tff(5404,plain,
% 48.44/31.49 (v130(constB27, bitIndex2)),
% 48.44/31.49 inference(unit_resolution,[status(thm)],[4998, 1210, 5403, 5350])).
% 48.44/31.49 tff(5405,plain,
% 48.44/31.49 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB27)) | (~v130(constB27, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB27)) | (~v130(constB27, bitIndex2)))),
% 48.44/31.49 inference(rewrite,[status(thm)],[])).
% 48.44/31.49 tff(5406,plain,
% 48.44/31.49 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB27)) | (~v130(constB27, bitIndex2)))),
% 48.44/31.49 inference(quant_inst,[status(thm)],[])).
% 48.44/31.49 tff(5407,plain,
% 48.44/31.49 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB27)) | (~v130(constB27, bitIndex2))),
% 48.44/31.49 inference(modus_ponens,[status(thm)],[5406, 5405])).
% 48.44/31.49 tff(5408,plain,
% 48.44/31.49 ($false),
% 48.44/31.49 inference(unit_resolution,[status(thm)],[5407, 1645, 5404, 5399])).
% 48.44/31.49 tff(5409,plain,(v90(constB27, bitIndex0) | (~v90(constB28, bitIndex2)) | (~v90(constB28, bitIndex1)) | (~v90(constB28, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 48.44/31.49 tff(5410,plain,
% 48.44/31.49 (v90(constB27, bitIndex0)),
% 48.44/31.49 inference(unit_resolution,[status(thm)],[5409, 5323, 5313, 5333])).
% 48.44/31.49 tff(5411,plain,
% 48.44/31.49 (((~![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)))),
% 48.44/31.49 inference(rewrite,[status(thm)],[])).
% 48.44/31.49 tff(5412,plain,
% 48.44/31.49 (((~nextState(constB26, constB27)) | v90(constB26, bitIndex0) | v100(constB27) | (~v90(constB27, bitIndex0))) <=> (v90(constB26, bitIndex0) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, bitIndex0)))),
% 48.44/31.49 inference(rewrite,[status(thm)],[])).
% 48.44/31.49 tff(5413,plain,
% 48.44/31.49 (((~![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))))),
% 48.44/31.49 inference(monotonicity,[status(thm)],[5412])).
% 48.44/31.49 tff(5414,plain,
% 48.44/31.49 (((~![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)))),
% 48.44/31.49 inference(transitivity,[status(thm)],[5413, 5411])).
% 48.44/31.49 tff(5415,plain,
% 48.44/31.49 ((~![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)))),
% 48.44/31.49 inference(quant_inst,[status(thm)],[])).
% 48.44/31.49 tff(5416,plain,
% 48.44/31.49 ((~![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))),
% 48.44/31.49 inference(modus_ponens,[status(thm)],[5415, 5414])).
% 48.44/31.49 tff(5417,plain,
% 48.44/31.49 (v90(constB26, bitIndex0) | v100(constB27) | (~v90(constB27, bitIndex0))),
% 48.44/31.49 inference(unit_resolution,[status(thm)],[5416, 123, 4815])).
% 48.44/31.49 tff(5418,plain,
% 48.44/31.49 (v90(constB26, bitIndex0) | (~v90(constB27, bitIndex0))),
% 48.44/31.49 inference(unit_resolution,[status(thm)],[5417, 4827])).
% 48.44/31.49 tff(5419,plain,
% 48.44/31.49 (v90(constB26, bitIndex0)),
% 48.44/31.49 inference(unit_resolution,[status(thm)],[5418, 5410])).
% 48.44/31.49 tff(5420,plain,
% 48.44/31.49 (((~![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)))),
% 48.44/31.49 inference(rewrite,[status(thm)],[])).
% 48.44/31.49 tff(5421,plain,
% 48.44/31.49 (((~nextState(constB25, constB26)) | v90(constB25, bitIndex0) | v100(constB26) | (~v90(constB26, bitIndex0))) <=> (v90(constB25, bitIndex0) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, bitIndex0)))),
% 48.44/31.49 inference(rewrite,[status(thm)],[])).
% 48.44/31.49 tff(5422,plain,
% 48.44/31.49 (((~![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))))),
% 48.44/31.49 inference(monotonicity,[status(thm)],[5421])).
% 48.44/31.49 tff(5423,plain,
% 48.44/31.49 (((~![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)))),
% 48.44/31.49 inference(transitivity,[status(thm)],[5422, 5420])).
% 48.44/31.49 tff(5424,plain,
% 48.44/31.49 ((~![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)))),
% 48.44/31.49 inference(quant_inst,[status(thm)],[])).
% 48.44/31.49 tff(5425,plain,
% 48.44/31.49 ((~![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))),
% 48.44/31.49 inference(modus_ponens,[status(thm)],[5424, 5423])).
% 48.44/31.49 tff(5426,plain,
% 48.44/31.49 (v90(constB25, bitIndex0) | v100(constB26) | (~v90(constB26, bitIndex0))),
% 48.44/31.49 inference(unit_resolution,[status(thm)],[5425, 123, 4715])).
% 48.44/31.49 tff(5427,plain,
% 48.44/31.49 (v100(constB26)),
% 48.44/31.49 inference(unit_resolution,[status(thm)],[5426, 5419, 5287])).
% 48.44/31.49 tff(5428,plain,
% 48.44/31.49 (((~![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)))),
% 48.44/31.49 inference(rewrite,[status(thm)],[])).
% 48.44/31.49 tff(5429,plain,
% 48.44/31.49 (((~v90(constB26, bitIndex0)) | (~v100(constB26)) | v129(constB26, bitIndex0)) <=> ((~v90(constB26, bitIndex0)) | v129(constB26, bitIndex0) | (~v100(constB26)))),
% 48.44/31.49 inference(rewrite,[status(thm)],[])).
% 48.44/31.49 tff(5430,plain,
% 48.44/31.49 (((~![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))))),
% 48.44/31.49 inference(monotonicity,[status(thm)],[5429])).
% 48.44/31.49 tff(5431,plain,
% 48.44/31.49 (((~![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)))),
% 48.44/31.49 inference(transitivity,[status(thm)],[5430, 5428])).
% 48.44/31.49 tff(5432,plain,
% 48.44/31.49 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB26, bitIndex0)) | (~v100(constB26)) | v129(constB26, bitIndex0))),
% 48.44/31.49 inference(quant_inst,[status(thm)],[])).
% 48.44/31.49 tff(5433,plain,
% 48.44/31.49 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB26, bitIndex0)) | v129(constB26, bitIndex0) | (~v100(constB26))),
% 48.44/31.49 inference(modus_ponens,[status(thm)],[5432, 5431])).
% 48.44/31.49 tff(5434,plain,
% 48.44/31.49 (v129(constB26, bitIndex0)),
% 48.44/31.49 inference(unit_resolution,[status(thm)],[5433, 557, 5427, 5419])).
% 48.44/31.49 tff(5435,plain,
% 48.44/31.49 (((~![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)))),
% 48.44/31.49 inference(rewrite,[status(thm)],[])).
% 48.44/31.49 tff(5436,plain,
% 48.44/31.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB25, constB26)) | v127(constB25, bitIndex0) | (~v129(constB26, bitIndex0)))),
% 48.44/31.49 inference(quant_inst,[status(thm)],[])).
% 48.44/31.49 tff(5437,plain,
% 48.44/31.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB25, constB26)) | v127(constB25, bitIndex0) | (~v129(constB26, bitIndex0))),
% 48.44/31.49 inference(modus_ponens,[status(thm)],[5436, 5435])).
% 48.44/31.49 tff(5438,plain,
% 48.44/31.49 (v127(constB25, bitIndex0) | (~v129(constB26, bitIndex0))),
% 48.44/31.49 inference(unit_resolution,[status(thm)],[5437, 542, 4715])).
% 48.44/31.49 tff(5439,plain,
% 48.44/31.49 (v127(constB25, bitIndex0)),
% 48.44/31.49 inference(unit_resolution,[status(thm)],[5438, 5434])).
% 48.44/31.49 tff(5440,plain,
% 48.44/31.49 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB25)) | (~v127(constB25, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB25)) | (~v127(constB25, bitIndex0)))),
% 48.44/31.49 inference(rewrite,[status(thm)],[])).
% 48.44/31.49 tff(5441,plain,
% 48.44/31.49 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB25)) | (~v127(constB25, bitIndex0)))),
% 48.44/31.49 inference(quant_inst,[status(thm)],[])).
% 48.44/31.49 tff(5442,plain,
% 48.44/31.49 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB25)) | (~v127(constB25, bitIndex0))),
% 48.44/31.49 inference(modus_ponens,[status(thm)],[5441, 5440])).
% 48.44/31.49 tff(5443,plain,
% 48.44/31.49 (~v26(constB25)),
% 48.44/31.49 inference(unit_resolution,[status(thm)],[5442, 1514, 5439])).
% 48.44/31.49 tff(5444,plain,
% 48.44/31.49 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB25, bitIndex0) | (~v120(constB25)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB25, bitIndex0) | (~v120(constB25)))),
% 48.44/31.49 inference(rewrite,[status(thm)],[])).
% 48.44/31.49 tff(5445,plain,
% 48.44/31.49 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB25, bitIndex0) | (~v120(constB25)))),
% 48.44/31.49 inference(quant_inst,[status(thm)],[])).
% 48.44/31.49 tff(5446,plain,
% 48.44/31.49 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB25, bitIndex0) | (~v120(constB25))),
% 48.44/31.49 inference(modus_ponens,[status(thm)],[5445, 5444])).
% 48.44/31.49 tff(5447,plain,
% 48.44/31.49 (~v120(constB25)),
% 48.44/31.49 inference(unit_resolution,[status(thm)],[5446, 2943, 5287])).
% 48.44/31.49 tff(5448,plain,
% 48.44/31.49 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB25, bitIndex0) | (~v122(constB25)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB25, bitIndex0) | (~v122(constB25)))),
% 48.44/31.49 inference(rewrite,[status(thm)],[])).
% 48.44/31.49 tff(5449,plain,
% 48.44/31.49 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB25, bitIndex0) | (~v122(constB25)))),
% 48.44/31.49 inference(quant_inst,[status(thm)],[])).
% 48.44/31.49 tff(5450,plain,
% 48.44/31.49 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB25, bitIndex0) | (~v122(constB25))),
% 48.44/31.49 inference(modus_ponens,[status(thm)],[5449, 5448])).
% 48.44/31.49 tff(5451,plain,
% 48.44/31.49 (~v122(constB25)),
% 48.44/31.49 inference(unit_resolution,[status(thm)],[5450, 2921, 5287])).
% 48.44/31.49 tff(5452,plain,
% 48.44/31.49 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB25, bitIndex0) | (~v124(constB25)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB25, bitIndex0) | (~v124(constB25)))),
% 48.44/31.49 inference(rewrite,[status(thm)],[])).
% 48.44/31.49 tff(5453,plain,
% 48.44/31.49 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB25, bitIndex0) | (~v124(constB25)))),
% 48.44/31.49 inference(quant_inst,[status(thm)],[])).
% 48.44/31.49 tff(5454,plain,
% 48.44/31.49 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB25, bitIndex0) | (~v124(constB25))),
% 48.44/31.49 inference(modus_ponens,[status(thm)],[5453, 5452])).
% 48.44/31.49 tff(5455,plain,
% 48.44/31.49 (~v124(constB25)),
% 48.44/31.49 inference(unit_resolution,[status(thm)],[5454, 2932, 5287])).
% 48.44/31.49 tff(5456,plain,
% 48.44/31.49 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB25, bitIndex0)) | v26(constB25) | v130(constB25, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB25, bitIndex0)) | v26(constB25) | v130(constB25, bitIndex0))),
% 48.44/31.49 inference(rewrite,[status(thm)],[])).
% 48.44/31.49 tff(5457,plain,
% 48.44/31.49 ((v26(constB25) | v130(constB25, bitIndex0) | (~v127(constB25, bitIndex0))) <=> ((~v127(constB25, bitIndex0)) | v26(constB25) | v130(constB25, bitIndex0))),
% 48.44/31.49 inference(rewrite,[status(thm)],[])).
% 48.44/31.49 tff(5458,plain,
% 48.44/31.49 (((~![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)))) | ((~v127(constB25, bitIndex0)) | v26(constB25) | v130(constB25, bitIndex0)))),
% 48.44/31.49 inference(monotonicity,[status(thm)],[5457])).
% 48.44/31.49 tff(5459,plain,
% 48.44/31.49 (((~![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)))) | (~v127(constB25, bitIndex0)) | v26(constB25) | v130(constB25, bitIndex0))),
% 48.44/31.49 inference(transitivity,[status(thm)],[5458, 5456])).
% 48.44/31.49 tff(5460,plain,
% 48.44/31.49 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB25) | v130(constB25, bitIndex0) | (~v127(constB25, bitIndex0)))),
% 48.44/31.49 inference(quant_inst,[status(thm)],[])).
% 48.44/31.49 tff(5461,plain,
% 48.44/31.49 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB25, bitIndex0)) | v26(constB25) | v130(constB25, bitIndex0)),
% 48.44/31.49 inference(modus_ponens,[status(thm)],[5460, 5459])).
% 48.44/31.49 tff(5462,plain,
% 48.44/31.49 (v130(constB25, bitIndex0)),
% 48.44/31.49 inference(unit_resolution,[status(thm)],[5461, 524, 5439, 5443])).
% 48.44/31.49 tff(5463,plain,
% 48.44/31.49 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB25)) | (~v130(constB25, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB25)) | (~v130(constB25, bitIndex0)))),
% 48.44/31.49 inference(rewrite,[status(thm)],[])).
% 48.44/31.49 tff(5464,plain,
% 48.44/31.49 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB25)) | (~v130(constB25, bitIndex0)))),
% 48.44/31.49 inference(quant_inst,[status(thm)],[])).
% 48.44/31.49 tff(5465,plain,
% 48.44/31.49 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB25)) | (~v130(constB25, bitIndex0))),
% 48.44/31.49 inference(modus_ponens,[status(thm)],[5464, 5463])).
% 48.44/31.49 tff(5466,plain,
% 48.44/31.49 (~v119(constB25)),
% 48.44/31.49 inference(unit_resolution,[status(thm)],[5465, 510, 5462])).
% 48.44/31.49 tff(5467,plain,
% 48.44/31.49 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB25)) | (~v130(constB25, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB25)) | (~v130(constB25, bitIndex0)))),
% 48.44/31.49 inference(rewrite,[status(thm)],[])).
% 48.44/31.49 tff(5468,plain,
% 48.44/31.49 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB25)) | (~v130(constB25, bitIndex0)))),
% 48.44/31.49 inference(quant_inst,[status(thm)],[])).
% 48.44/31.49 tff(5469,plain,
% 48.44/31.49 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB25)) | (~v130(constB25, bitIndex0))),
% 48.44/31.49 inference(modus_ponens,[status(thm)],[5468, 5467])).
% 48.44/31.49 tff(5470,plain,
% 48.44/31.49 (~v123(constB25)),
% 48.44/31.49 inference(unit_resolution,[status(thm)],[5469, 975, 5462])).
% 48.44/31.49 tff(5471,assumption,(~v100(constB28)), introduced(assumption)).
% 48.44/31.49 tff(5472,plain,
% 48.44/31.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB27, bitIndex2) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB27, bitIndex2) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex2)))),
% 48.44/31.49 inference(rewrite,[status(thm)],[])).
% 48.44/31.49 tff(5473,plain,
% 48.44/31.49 (((~nextState(constB27, constB28)) | v90(constB27, bitIndex2) | v100(constB28) | (~v90(constB28, bitIndex2))) <=> (v90(constB27, bitIndex2) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex2)))),
% 48.44/31.49 inference(rewrite,[status(thm)],[])).
% 48.44/31.49 tff(5474,plain,
% 48.44/31.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB27, constB28)) | v90(constB27, bitIndex2) | v100(constB28) | (~v90(constB28, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB27, bitIndex2) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex2))))),
% 48.44/31.49 inference(monotonicity,[status(thm)],[5473])).
% 48.44/31.49 tff(5475,plain,
% 48.44/31.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB27, constB28)) | v90(constB27, bitIndex2) | v100(constB28) | (~v90(constB28, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB27, bitIndex2) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex2)))),
% 48.44/31.50 inference(transitivity,[status(thm)],[5474, 5472])).
% 48.44/31.50 tff(5476,plain,
% 48.44/31.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB27, constB28)) | v90(constB27, bitIndex2) | v100(constB28) | (~v90(constB28, bitIndex2)))),
% 48.44/31.50 inference(quant_inst,[status(thm)],[])).
% 48.44/31.50 tff(5477,plain,
% 48.44/31.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB27, bitIndex2) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex2))),
% 48.44/31.50 inference(modus_ponens,[status(thm)],[5476, 5475])).
% 48.44/31.50 tff(5478,plain,
% 48.44/31.50 (v90(constB27, bitIndex2) | v100(constB28) | (~v90(constB28, bitIndex2))),
% 48.44/31.50 inference(unit_resolution,[status(thm)],[5477, 81, 4954])).
% 48.44/31.50 tff(5479,plain,
% 48.44/31.50 (v90(constB27, bitIndex2)),
% 48.44/31.50 inference(unit_resolution,[status(thm)],[5478, 5471, 5400])).
% 48.44/31.50 tff(5480,plain,
% 48.44/31.50 (v90(constB26, bitIndex2)),
% 48.44/31.50 inference(unit_resolution,[status(thm)],[4835, 5479])).
% 48.44/31.50 tff(5481,assumption,(v100(constB26)), introduced(assumption)).
% 48.44/31.50 tff(5482,plain,
% 48.44/31.50 ((~v90(constB26, bitIndex2)) | v129(constB26, bitIndex2)),
% 48.44/31.50 inference(unit_resolution,[status(thm)],[4807, 1258, 5481])).
% 48.44/31.50 tff(5483,plain,
% 48.44/31.50 (v129(constB26, bitIndex2)),
% 48.44/31.50 inference(unit_resolution,[status(thm)],[5482, 5480])).
% 48.44/31.50 tff(5484,plain,
% 48.44/31.50 (v127(constB25, bitIndex2)),
% 48.44/31.50 inference(unit_resolution,[status(thm)],[4800, 5483])).
% 48.44/31.50 tff(5485,assumption,(~v26(constB25)), introduced(assumption)).
% 48.44/31.50 tff(5486,plain,
% 48.44/31.50 ((~v127(constB25, bitIndex2)) | v130(constB25, bitIndex2)),
% 48.44/31.50 inference(unit_resolution,[status(thm)],[4788, 1210, 5485])).
% 48.44/31.50 tff(5487,plain,
% 48.44/31.50 (v130(constB25, bitIndex2)),
% 48.44/31.50 inference(unit_resolution,[status(thm)],[5486, 5484])).
% 48.44/31.50 tff(5488,assumption,(~v119(constB25)), introduced(assumption)).
% 48.44/31.50 tff(5489,assumption,(~v123(constB25)), introduced(assumption)).
% 48.44/31.50 tff(5490,plain,
% 48.44/31.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB27, bitIndex1) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB27, bitIndex1) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex1)))),
% 48.44/31.50 inference(rewrite,[status(thm)],[])).
% 48.44/31.50 tff(5491,plain,
% 48.44/31.50 (((~nextState(constB27, constB28)) | v90(constB27, bitIndex1) | v100(constB28) | (~v90(constB28, bitIndex1))) <=> (v90(constB27, bitIndex1) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex1)))),
% 48.44/31.50 inference(rewrite,[status(thm)],[])).
% 48.44/31.50 tff(5492,plain,
% 48.44/31.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB27, constB28)) | v90(constB27, bitIndex1) | v100(constB28) | (~v90(constB28, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB27, bitIndex1) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex1))))),
% 48.44/31.50 inference(monotonicity,[status(thm)],[5491])).
% 48.44/31.50 tff(5493,plain,
% 48.44/31.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB27, constB28)) | v90(constB27, bitIndex1) | v100(constB28) | (~v90(constB28, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB27, bitIndex1) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex1)))),
% 48.44/31.50 inference(transitivity,[status(thm)],[5492, 5490])).
% 48.44/31.50 tff(5494,plain,
% 48.44/31.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB27, constB28)) | v90(constB27, bitIndex1) | v100(constB28) | (~v90(constB28, bitIndex1)))),
% 48.44/31.50 inference(quant_inst,[status(thm)],[])).
% 48.44/31.50 tff(5495,plain,
% 48.44/31.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB27, bitIndex1) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, bitIndex1))),
% 48.44/31.50 inference(modus_ponens,[status(thm)],[5494, 5493])).
% 48.44/31.50 tff(5496,plain,
% 48.44/31.50 (v90(constB27, bitIndex1) | v100(constB28) | (~v90(constB28, bitIndex1))),
% 48.44/31.50 inference(unit_resolution,[status(thm)],[5495, 102, 4954])).
% 48.44/31.50 tff(5497,plain,
% 48.44/31.50 (v90(constB27, bitIndex1)),
% 48.44/31.50 inference(unit_resolution,[status(thm)],[5496, 5471, 5372])).
% 48.44/31.50 tff(5498,plain,
% 48.44/31.50 (v90(constB26, bitIndex1)),
% 48.44/31.50 inference(unit_resolution,[status(thm)],[4872, 5497])).
% 48.44/31.50 tff(5499,plain,
% 48.44/31.50 ((~v90(constB26, bitIndex1)) | v129(constB26, bitIndex1)),
% 48.44/31.50 inference(unit_resolution,[status(thm)],[4862, 483, 5481])).
% 48.44/31.50 tff(5500,plain,
% 48.44/31.50 (v129(constB26, bitIndex1)),
% 48.44/31.50 inference(unit_resolution,[status(thm)],[5499, 5498])).
% 48.44/31.50 tff(5501,plain,
% 48.44/31.50 (v127(constB25, bitIndex1)),
% 48.44/31.50 inference(unit_resolution,[status(thm)],[4855, 5500])).
% 48.44/31.50 tff(5502,plain,
% 48.44/31.50 ((~v127(constB25, bitIndex1)) | v130(constB25, bitIndex1)),
% 48.44/31.50 inference(unit_resolution,[status(thm)],[4849, 450, 5485])).
% 48.44/31.50 tff(5503,plain,
% 48.44/31.50 (v130(constB25, bitIndex1)),
% 48.44/31.50 inference(unit_resolution,[status(thm)],[5502, 5501])).
% 48.44/31.50 tff(5504,assumption,(~v120(constB25)), introduced(assumption)).
% 48.44/31.50 tff(5505,assumption,(~v122(constB25)), introduced(assumption)).
% 48.44/31.50 tff(5506,assumption,(~v124(constB25)), introduced(assumption)).
% 48.44/31.50 tff(5507,plain,
% 48.44/31.50 (v123(constB25) | v121(constB25) | v119(constB25) | (~v130(constB25, bitIndex1))),
% 48.44/31.50 inference(unit_resolution,[status(thm)],[4842, 1143, 5506, 5505, 5504])).
% 48.44/31.50 tff(5508,plain,
% 48.44/31.50 (v121(constB25)),
% 48.44/31.50 inference(unit_resolution,[status(thm)],[5507, 5503, 5489, 5488])).
% 48.44/31.50 tff(5509,plain,
% 48.44/31.50 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB25)) | (~v130(constB25, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB25)) | (~v130(constB25, bitIndex2)))),
% 48.44/31.50 inference(rewrite,[status(thm)],[])).
% 48.44/31.50 tff(5510,plain,
% 48.44/31.50 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB25)) | (~v130(constB25, bitIndex2)))),
% 48.44/31.50 inference(quant_inst,[status(thm)],[])).
% 48.44/31.50 tff(5511,plain,
% 48.44/31.50 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB25)) | (~v130(constB25, bitIndex2))),
% 48.44/31.50 inference(modus_ponens,[status(thm)],[5510, 5509])).
% 48.44/31.50 tff(5512,plain,
% 48.44/31.50 ($false),
% 48.44/31.50 inference(unit_resolution,[status(thm)],[5511, 1645, 5508, 5487])).
% 48.44/31.50 tff(5513,plain,(v100(constB28) | v123(constB25) | v119(constB25) | v124(constB25) | v122(constB25) | v120(constB25) | v26(constB25) | (~v100(constB26)) | (~v90(constB28, bitIndex2)) | (~v90(constB28, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 48.44/31.50 tff(5514,plain,
% 48.44/31.50 (v100(constB28)),
% 48.44/31.50 inference(unit_resolution,[status(thm)],[5513, 5470, 5466, 5455, 5451, 5447, 5443, 5427, 5323, 5313])).
% 48.44/31.50 tff(5515,plain,
% 48.44/31.50 (v129(constB28, bitIndex0) | (~v100(constB28))),
% 48.44/31.50 inference(unit_resolution,[status(thm)],[5094, 557, 5333])).
% 48.44/31.50 tff(5516,plain,
% 48.44/31.50 (v129(constB28, bitIndex0)),
% 48.44/31.50 inference(unit_resolution,[status(thm)],[5515, 5514])).
% 48.44/31.50 tff(5517,plain,
% 48.44/31.50 (v127(constB27, bitIndex0)),
% 48.44/31.50 inference(unit_resolution,[status(thm)],[5087, 5516])).
% 48.44/31.50 tff(5518,plain,
% 48.44/31.50 (~v26(constB27)),
% 48.44/31.50 inference(unit_resolution,[status(thm)],[5349, 1514, 5517])).
% 48.44/31.50 tff(5519,plain,
% 48.45/31.50 (v129(constB28, bitIndex1) | (~v100(constB28))),
% 48.45/31.50 inference(unit_resolution,[status(thm)],[5378, 483, 5313])).
% 48.45/31.50 tff(5520,plain,
% 48.45/31.50 (v129(constB28, bitIndex1)),
% 48.45/31.50 inference(unit_resolution,[status(thm)],[5519, 5514])).
% 48.45/31.50 tff(5521,plain,
% 48.45/31.50 (v127(constB27, bitIndex1)),
% 48.45/31.50 inference(unit_resolution,[status(thm)],[5384, 5520])).
% 48.45/31.50 tff(5522,plain,
% 48.45/31.50 (v130(constB27, bitIndex1)),
% 48.45/31.50 inference(unit_resolution,[status(thm)],[5391, 450, 5521, 5518])).
% 48.45/31.50 tff(5523,plain,
% 48.45/31.50 (v130(constB27, bitIndex0)),
% 48.45/31.50 inference(unit_resolution,[status(thm)],[5081, 524, 5517, 5518])).
% 48.45/31.50 tff(5524,plain,
% 48.45/31.50 (~v120(constB27)),
% 48.45/31.50 inference(unit_resolution,[status(thm)],[5074, 1492, 5523])).
% 48.45/31.50 tff(5525,plain,
% 48.45/31.50 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB27)) | (~v130(constB27, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB27)) | (~v130(constB27, bitIndex0)))),
% 48.45/31.50 inference(rewrite,[status(thm)],[])).
% 48.45/31.50 tff(5526,plain,
% 48.45/31.50 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB27)) | (~v130(constB27, bitIndex0)))),
% 48.45/31.50 inference(quant_inst,[status(thm)],[])).
% 48.45/31.50 tff(5527,plain,
% 48.45/31.50 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB27)) | (~v130(constB27, bitIndex0))),
% 48.45/31.50 inference(modus_ponens,[status(thm)],[5526, 5525])).
% 48.45/31.50 tff(5528,plain,
% 48.45/31.50 (~v122(constB27)),
% 48.45/31.50 inference(unit_resolution,[status(thm)],[5527, 1997, 5523])).
% 48.45/31.50 tff(5529,plain,
% 48.45/31.50 (v129(constB28, bitIndex2) | (~v100(constB28))),
% 48.45/31.50 inference(unit_resolution,[status(thm)],[5011, 1258, 5323])).
% 48.45/31.50 tff(5530,plain,
% 48.45/31.50 (v129(constB28, bitIndex2)),
% 48.45/31.50 inference(unit_resolution,[status(thm)],[5529, 5514])).
% 48.45/31.50 tff(5531,plain,
% 48.45/31.50 (v127(constB27, bitIndex2)),
% 48.45/31.50 inference(unit_resolution,[status(thm)],[5004, 5530])).
% 48.45/31.50 tff(5532,plain,
% 48.45/31.50 (v130(constB27, bitIndex2)),
% 48.45/31.50 inference(unit_resolution,[status(thm)],[4998, 1210, 5531, 5518])).
% 48.45/31.50 tff(5533,plain,
% 48.45/31.50 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB27)) | (~v130(constB27, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB27)) | (~v130(constB27, bitIndex2)))),
% 48.45/31.50 inference(rewrite,[status(thm)],[])).
% 48.45/31.50 tff(5534,plain,
% 48.45/31.50 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB27)) | (~v130(constB27, bitIndex2)))),
% 48.45/31.50 inference(quant_inst,[status(thm)],[])).
% 48.45/31.50 tff(5535,plain,
% 48.45/31.50 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB27)) | (~v130(constB27, bitIndex2))),
% 48.45/31.50 inference(modus_ponens,[status(thm)],[5534, 5533])).
% 48.45/31.50 tff(5536,plain,
% 48.45/31.50 (~v124(constB27)),
% 48.45/31.50 inference(unit_resolution,[status(thm)],[5535, 2853, 5532])).
% 48.45/31.50 tff(5537,plain,
% 48.45/31.50 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v90(constB27, bitIndex0)) | (~v119(constB27)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v90(constB27, bitIndex0)) | (~v119(constB27)))),
% 48.45/31.50 inference(rewrite,[status(thm)],[])).
% 48.45/31.50 tff(5538,plain,
% 48.45/31.50 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v90(constB27, bitIndex0)) | (~v119(constB27)))),
% 48.45/31.50 inference(quant_inst,[status(thm)],[])).
% 48.45/31.50 tff(5539,plain,
% 48.45/31.50 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v90(constB27, bitIndex0)) | (~v119(constB27))),
% 48.45/31.50 inference(modus_ponens,[status(thm)],[5538, 5537])).
% 48.45/31.50 tff(5540,plain,
% 48.45/31.50 (~v119(constB27)),
% 48.45/31.50 inference(unit_resolution,[status(thm)],[5539, 3414, 5410])).
% 48.45/31.50 tff(5541,plain,
% 48.45/31.50 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | ((~v90(constB27, bitIndex0)) | (~v121(constB27)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | (~v90(constB27, bitIndex0)) | (~v121(constB27)))),
% 48.45/31.50 inference(rewrite,[status(thm)],[])).
% 48.45/31.50 tff(5542,plain,
% 48.45/31.50 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | ((~v90(constB27, bitIndex0)) | (~v121(constB27)))),
% 48.45/31.50 inference(quant_inst,[status(thm)],[])).
% 48.45/31.50 tff(5543,plain,
% 48.45/31.50 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | (~v90(constB27, bitIndex0)) | (~v121(constB27))),
% 48.45/31.50 inference(modus_ponens,[status(thm)],[5542, 5541])).
% 48.45/31.50 tff(5544,plain,
% 48.45/31.50 (~v121(constB27)),
% 48.45/31.50 inference(unit_resolution,[status(thm)],[5543, 3031, 5410])).
% 48.45/31.50 tff(5545,plain,
% 48.45/31.50 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | ((~v90(constB27, bitIndex0)) | (~v123(constB27)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | (~v90(constB27, bitIndex0)) | (~v123(constB27)))),
% 48.45/31.50 inference(rewrite,[status(thm)],[])).
% 48.45/31.50 tff(5546,plain,
% 48.45/31.50 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | ((~v90(constB27, bitIndex0)) | (~v123(constB27)))),
% 48.45/31.50 inference(quant_inst,[status(thm)],[])).
% 48.45/31.50 tff(5547,plain,
% 48.45/31.50 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | (~v90(constB27, bitIndex0)) | (~v123(constB27))),
% 48.45/31.50 inference(modus_ponens,[status(thm)],[5546, 5545])).
% 48.45/31.50 tff(5548,plain,
% 48.45/31.50 (~v123(constB27)),
% 48.45/31.50 inference(unit_resolution,[status(thm)],[5547, 3454, 5410])).
% 48.45/31.50 tff(5549,plain,
% 48.45/31.50 (v124(constB27) | v122(constB27) | v120(constB27) | (~v130(constB27, bitIndex1))),
% 48.45/31.50 inference(unit_resolution,[status(thm)],[5398, 1143, 5548, 5544, 5540])).
% 48.45/31.50 tff(5550,plain,
% 48.45/31.50 ($false),
% 48.45/31.50 inference(unit_resolution,[status(thm)],[5549, 5536, 5528, 5524, 5522])).
% 48.45/31.50 tff(5551,plain,(v100(constB30) | v90(constB25, bitIndex0) | (~v90(constB30, bitIndex2)) | (~v90(constB30, bitIndex1)) | (~v90(constB30, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 48.45/31.50 tff(5552,plain,
% 48.45/31.50 (~v90(constB30, bitIndex0)),
% 48.45/31.50 inference(unit_resolution,[status(thm)],[5551, 5295, 5287, 5134, 5286])).
% 48.45/31.50 tff(5553,plain,
% 48.45/31.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB29, bitIndex0)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB29, bitIndex0)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, bitIndex0))),
% 48.45/31.50 inference(rewrite,[status(thm)],[])).
% 48.45/31.50 tff(5554,plain,
% 48.45/31.50 (((~nextState(constB29, constB30)) | (~v90(constB29, bitIndex0)) | v100(constB30) | v90(constB30, bitIndex0)) <=> ((~v90(constB29, bitIndex0)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, bitIndex0))),
% 48.45/31.50 inference(rewrite,[status(thm)],[])).
% 48.45/31.50 tff(5555,plain,
% 48.45/31.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB29, constB30)) | (~v90(constB29, bitIndex0)) | v100(constB30) | v90(constB30, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB29, bitIndex0)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, bitIndex0)))),
% 48.45/31.50 inference(monotonicity,[status(thm)],[5554])).
% 48.45/31.50 tff(5556,plain,
% 48.45/31.50 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB29, constB30)) | (~v90(constB29, bitIndex0)) | v100(constB30) | v90(constB30, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB29, bitIndex0)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, bitIndex0))),
% 48.45/31.50 inference(transitivity,[status(thm)],[5555, 5553])).
% 48.45/31.50 tff(5557,plain,
% 48.45/31.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB29, constB30)) | (~v90(constB29, bitIndex0)) | v100(constB30) | v90(constB30, bitIndex0))),
% 48.45/31.50 inference(quant_inst,[status(thm)],[])).
% 48.45/31.50 tff(5558,plain,
% 48.45/31.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB29, bitIndex0)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, bitIndex0)),
% 48.45/31.50 inference(modus_ponens,[status(thm)],[5557, 5556])).
% 48.45/31.50 tff(5559,plain,
% 48.45/31.50 ((~v90(constB29, bitIndex0)) | v100(constB30) | v90(constB30, bitIndex0)),
% 48.45/31.50 inference(unit_resolution,[status(thm)],[5558, 1124, 5128])).
% 48.45/31.50 tff(5560,plain,
% 48.45/31.50 ($false),
% 48.45/31.50 inference(unit_resolution,[status(thm)],[5559, 5552, 5278, 5134])).
% 48.45/31.50 tff(5561,plain,(v100(constB30) | v90(constB25, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 48.45/31.50 tff(5562,plain,
% 48.45/31.50 (v100(constB30)),
% 48.45/31.50 inference(unit_resolution,[status(thm)],[5561, 4688])).
% 48.45/31.50 tff(5563,plain,
% 48.45/31.50 (((~![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)))),
% 48.45/31.50 inference(rewrite,[status(thm)],[])).
% 48.45/31.50 tff(5564,plain,
% 48.45/31.50 (((~v90(constB30, bitIndex2)) | (~v100(constB30)) | v129(constB30, bitIndex2)) <=> ((~v90(constB30, bitIndex2)) | v129(constB30, bitIndex2) | (~v100(constB30)))),
% 48.45/31.50 inference(rewrite,[status(thm)],[])).
% 48.45/31.50 tff(5565,plain,
% 48.45/31.50 (((~![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))))),
% 48.45/31.50 inference(monotonicity,[status(thm)],[5564])).
% 48.45/31.50 tff(5566,plain,
% 48.45/31.50 (((~![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)))),
% 48.45/31.50 inference(transitivity,[status(thm)],[5565, 5563])).
% 48.45/31.50 tff(5567,plain,
% 48.45/31.50 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB30, bitIndex2)) | (~v100(constB30)) | v129(constB30, bitIndex2))),
% 48.45/31.50 inference(quant_inst,[status(thm)],[])).
% 48.45/31.50 tff(5568,plain,
% 48.45/31.50 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB30, bitIndex2)) | v129(constB30, bitIndex2) | (~v100(constB30))),
% 48.45/31.50 inference(modus_ponens,[status(thm)],[5567, 5566])).
% 48.45/31.50 tff(5569,plain,
% 48.45/31.50 ((~v90(constB30, bitIndex2)) | v129(constB30, bitIndex2)),
% 48.45/31.50 inference(unit_resolution,[status(thm)],[5568, 1258, 5562])).
% 48.45/31.50 tff(5570,plain,
% 48.45/31.50 (~v90(constB30, bitIndex2)),
% 48.45/31.50 inference(unit_resolution,[status(thm)],[5569, 5133])).
% 48.45/31.50 tff(5571,plain,
% 48.45/31.50 ((~v1(constB31)) <=> (~v1(constB31))),
% 48.45/31.50 inference(rewrite,[status(thm)],[])).
% 48.45/31.50 tff(5572,axiom,(~v1(constB31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_31_1_1')).
% 48.45/31.50 tff(5573,plain,
% 48.45/31.50 (~v1(constB31)),
% 48.45/31.50 inference(modus_ponens,[status(thm)],[5572, 5571])).
% 48.45/31.50 tff(5574,plain,
% 48.45/31.50 (nextState(constB30, constB31) <=> nextState(constB30, constB31)),
% 48.45/31.50 inference(rewrite,[status(thm)],[])).
% 48.45/31.50 tff(5575,axiom,(nextState(constB30, constB31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_30_1')).
% 48.45/31.50 tff(5576,plain,
% 48.45/31.50 (nextState(constB30, constB31)),
% 48.45/31.50 inference(modus_ponens,[status(thm)],[5575, 5574])).
% 48.45/31.50 tff(5577,plain,
% 48.45/31.50 (((~![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)))),
% 48.45/31.50 inference(rewrite,[status(thm)],[])).
% 48.45/31.50 tff(5578,plain,
% 48.45/31.50 (((~nextState(constB30, constB31)) | (~v101(constB31)) | v1(constB31)) <=> (v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31)))),
% 48.45/31.50 inference(rewrite,[status(thm)],[])).
% 48.45/31.50 tff(5579,plain,
% 48.45/31.50 (((~![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))))),
% 48.45/31.50 inference(monotonicity,[status(thm)],[5578])).
% 48.45/31.50 tff(5580,plain,
% 48.45/31.50 (((~![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)))),
% 48.45/31.50 inference(transitivity,[status(thm)],[5579, 5577])).
% 48.45/31.50 tff(5581,plain,
% 48.45/31.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB30, constB31)) | (~v101(constB31)) | v1(constB31))),
% 48.45/31.50 inference(quant_inst,[status(thm)],[])).
% 48.45/31.50 tff(5582,plain,
% 48.45/31.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31))),
% 48.45/31.50 inference(modus_ponens,[status(thm)],[5581, 5580])).
% 48.45/31.50 tff(5583,plain,
% 48.45/31.50 (~v101(constB31)),
% 48.45/31.50 inference(unit_resolution,[status(thm)],[5582, 49, 5576, 5573])).
% 48.45/31.50 tff(5584,plain,
% 48.45/31.50 (((~![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)))),
% 48.45/31.50 inference(rewrite,[status(thm)],[])).
% 48.45/31.50 tff(5585,plain,
% 48.45/31.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB30, constB31)) | v101(constB31) | (~v100(constB31)))),
% 48.45/31.50 inference(quant_inst,[status(thm)],[])).
% 48.45/31.50 tff(5586,plain,
% 48.45/31.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB30, constB31)) | v101(constB31) | (~v100(constB31))),
% 48.45/31.50 inference(modus_ponens,[status(thm)],[5585, 5584])).
% 48.45/31.50 tff(5587,plain,
% 48.45/31.50 (v101(constB31) | (~v100(constB31))),
% 48.45/31.50 inference(unit_resolution,[status(thm)],[5586, 66, 5576])).
% 48.45/31.50 tff(5588,plain,
% 48.45/31.50 (~v100(constB31)),
% 48.45/31.50 inference(unit_resolution,[status(thm)],[5587, 5583])).
% 48.45/31.50 tff(5589,plain,
% 48.45/31.50 (((~![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)))),
% 48.45/31.50 inference(rewrite,[status(thm)],[])).
% 48.45/31.50 tff(5590,plain,
% 48.45/31.50 (((~nextState(constB30, constB31)) | v90(constB30, bitIndex2) | v100(constB31) | (~v90(constB31, bitIndex2))) <=> (v90(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, bitIndex2)))),
% 48.45/31.50 inference(rewrite,[status(thm)],[])).
% 48.45/31.50 tff(5591,plain,
% 48.45/31.50 (((~![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))))),
% 48.45/31.50 inference(monotonicity,[status(thm)],[5590])).
% 48.45/31.50 tff(5592,plain,
% 48.45/31.50 (((~![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)))),
% 48.45/31.50 inference(transitivity,[status(thm)],[5591, 5589])).
% 48.45/31.50 tff(5593,plain,
% 48.45/31.50 ((~![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)))),
% 48.45/31.50 inference(quant_inst,[status(thm)],[])).
% 48.45/31.50 tff(5594,plain,
% 48.45/31.50 ((~![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))),
% 48.45/31.50 inference(modus_ponens,[status(thm)],[5593, 5592])).
% 48.45/31.50 tff(5595,plain,
% 48.45/31.50 (v90(constB30, bitIndex2) | v100(constB31) | (~v90(constB31, bitIndex2))),
% 48.45/31.50 inference(unit_resolution,[status(thm)],[5594, 81, 5576])).
% 48.45/31.50 tff(5596,plain,
% 48.45/31.50 (v90(constB30, bitIndex2) | (~v90(constB31, bitIndex2))),
% 48.45/31.50 inference(unit_resolution,[status(thm)],[5595, 5588])).
% 48.45/31.50 tff(5597,plain,
% 48.45/31.50 (~v90(constB31, bitIndex2)),
% 48.45/31.50 inference(unit_resolution,[status(thm)],[5596, 5570])).
% 48.45/31.50 tff(5598,plain,
% 48.45/31.50 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB29)) | v130(constB29, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB29)) | v130(constB29, bitIndex1))),
% 48.45/31.50 inference(rewrite,[status(thm)],[])).
% 48.45/31.50 tff(5599,plain,
% 48.45/31.50 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB29)) | v130(constB29, bitIndex1))),
% 48.45/31.50 inference(quant_inst,[status(thm)],[])).
% 48.45/31.50 tff(5600,plain,
% 48.45/31.50 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB29)) | v130(constB29, bitIndex1)),
% 48.45/31.50 inference(modus_ponens,[status(thm)],[5599, 5598])).
% 48.45/31.50 tff(5601,plain,
% 48.45/31.50 (v130(constB29, bitIndex1)),
% 48.45/31.50 inference(unit_resolution,[status(thm)],[5600, 1707, 5109])).
% 48.45/31.50 tff(5602,plain,
% 48.45/31.50 (((~![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))),
% 48.45/31.50 inference(rewrite,[status(thm)],[])).
% 48.45/31.50 tff(5603,plain,
% 48.45/31.50 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB29) | (~v130(constB29, bitIndex1)) | v127(constB29, bitIndex1))),
% 48.45/31.50 inference(quant_inst,[status(thm)],[])).
% 48.45/31.50 tff(5604,plain,
% 48.45/31.50 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB29) | (~v130(constB29, bitIndex1)) | v127(constB29, bitIndex1)),
% 48.45/31.50 inference(modus_ponens,[status(thm)],[5603, 5602])).
% 48.45/31.50 tff(5605,plain,
% 48.45/31.50 ((~v130(constB29, bitIndex1)) | v127(constB29, bitIndex1)),
% 48.45/31.50 inference(unit_resolution,[status(thm)],[5604, 681, 5117])).
% 48.45/31.50 tff(5606,plain,
% 48.45/31.50 (v127(constB29, bitIndex1)),
% 48.45/31.50 inference(unit_resolution,[status(thm)],[5605, 5601])).
% 48.45/31.50 tff(5607,plain,
% 48.45/31.50 (((~![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))),
% 48.45/31.50 inference(rewrite,[status(thm)],[])).
% 48.45/31.50 tff(5608,plain,
% 48.45/31.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB29, constB30)) | (~v127(constB29, bitIndex1)) | v129(constB30, bitIndex1))),
% 48.45/31.50 inference(quant_inst,[status(thm)],[])).
% 48.45/31.50 tff(5609,plain,
% 48.45/31.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB29, constB30)) | (~v127(constB29, bitIndex1)) | v129(constB30, bitIndex1)),
% 48.45/31.50 inference(modus_ponens,[status(thm)],[5608, 5607])).
% 48.45/31.50 tff(5610,plain,
% 48.45/31.50 ((~v127(constB29, bitIndex1)) | v129(constB30, bitIndex1)),
% 48.45/31.50 inference(unit_resolution,[status(thm)],[5609, 696, 5128])).
% 48.45/31.50 tff(5611,plain,
% 48.45/31.50 (v129(constB30, bitIndex1)),
% 48.45/31.50 inference(unit_resolution,[status(thm)],[5610, 5606])).
% 48.45/31.50 tff(5612,plain,
% 48.45/31.50 (((~![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)))),
% 48.45/31.50 inference(rewrite,[status(thm)],[])).
% 48.45/31.50 tff(5613,plain,
% 48.45/31.50 ((v90(constB30, bitIndex1) | (~v100(constB30)) | (~v129(constB30, bitIndex1))) <=> (v90(constB30, bitIndex1) | (~v129(constB30, bitIndex1)) | (~v100(constB30)))),
% 48.45/31.50 inference(rewrite,[status(thm)],[])).
% 48.45/31.50 tff(5614,plain,
% 48.45/31.50 (((~![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))))),
% 48.45/31.50 inference(monotonicity,[status(thm)],[5613])).
% 48.45/31.50 tff(5615,plain,
% 48.45/31.50 (((~![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)))),
% 48.45/31.50 inference(transitivity,[status(thm)],[5614, 5612])).
% 48.45/31.50 tff(5616,plain,
% 48.45/31.50 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB30, bitIndex1) | (~v100(constB30)) | (~v129(constB30, bitIndex1)))),
% 48.45/31.50 inference(quant_inst,[status(thm)],[])).
% 48.45/31.50 tff(5617,plain,
% 48.45/31.50 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB30, bitIndex1) | (~v129(constB30, bitIndex1)) | (~v100(constB30))),
% 48.45/31.50 inference(modus_ponens,[status(thm)],[5616, 5615])).
% 48.45/31.50 tff(5618,plain,
% 48.45/31.50 (v90(constB30, bitIndex1) | (~v129(constB30, bitIndex1))),
% 48.45/31.50 inference(unit_resolution,[status(thm)],[5617, 711, 5562])).
% 48.45/31.50 tff(5619,plain,
% 48.45/31.50 (v90(constB30, bitIndex1)),
% 48.45/31.50 inference(unit_resolution,[status(thm)],[5618, 5611])).
% 48.45/31.50 tff(5620,plain,
% 48.45/31.50 (((~![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))),
% 48.45/31.50 inference(rewrite,[status(thm)],[])).
% 48.45/31.50 tff(5621,plain,
% 48.45/31.50 (((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex1)) | v100(constB31) | v90(constB31, bitIndex1)) <=> ((~v90(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex1))),
% 48.45/31.50 inference(rewrite,[status(thm)],[])).
% 48.45/31.50 tff(5622,plain,
% 48.45/31.50 (((~![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)))),
% 48.45/31.51 inference(monotonicity,[status(thm)],[5621])).
% 48.45/31.51 tff(5623,plain,
% 48.45/31.51 (((~![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))),
% 48.45/31.51 inference(transitivity,[status(thm)],[5622, 5620])).
% 48.45/31.51 tff(5624,plain,
% 48.45/31.51 ((~![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))),
% 48.45/31.51 inference(quant_inst,[status(thm)],[])).
% 48.45/31.51 tff(5625,plain,
% 48.45/31.51 ((~![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)),
% 48.45/31.51 inference(modus_ponens,[status(thm)],[5624, 5623])).
% 48.45/31.51 tff(5626,plain,
% 48.45/31.51 ((~v90(constB30, bitIndex1)) | v100(constB31) | v90(constB31, bitIndex1)),
% 48.45/31.51 inference(unit_resolution,[status(thm)],[5625, 747, 5576])).
% 48.45/31.51 tff(5627,plain,
% 48.45/31.51 ((~v90(constB30, bitIndex1)) | v90(constB31, bitIndex1)),
% 48.45/31.51 inference(unit_resolution,[status(thm)],[5626, 5588])).
% 48.45/31.51 tff(5628,plain,
% 48.45/31.51 (v90(constB31, bitIndex1)),
% 48.45/31.51 inference(unit_resolution,[status(thm)],[5627, 5619])).
% 48.45/31.51 tff(5629,plain,
% 48.45/31.51 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB29)) | v130(constB29, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB29)) | v130(constB29, bitIndex0))),
% 48.45/31.51 inference(rewrite,[status(thm)],[])).
% 48.45/31.51 tff(5630,plain,
% 48.45/31.51 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB29)) | v130(constB29, bitIndex0))),
% 48.45/31.51 inference(quant_inst,[status(thm)],[])).
% 48.45/31.51 tff(5631,plain,
% 48.45/31.51 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB29)) | v130(constB29, bitIndex0)),
% 48.45/31.51 inference(modus_ponens,[status(thm)],[5630, 5629])).
% 48.45/31.51 tff(5632,plain,
% 48.45/31.51 (v130(constB29, bitIndex0)),
% 48.45/31.51 inference(unit_resolution,[status(thm)],[5631, 1748, 5109])).
% 48.45/31.51 tff(5633,plain,
% 48.45/31.51 (((~![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))),
% 48.45/31.51 inference(rewrite,[status(thm)],[])).
% 48.45/31.51 tff(5634,plain,
% 48.45/31.51 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB29) | (~v130(constB29, bitIndex0)) | v127(constB29, bitIndex0))),
% 48.45/31.51 inference(quant_inst,[status(thm)],[])).
% 48.45/31.51 tff(5635,plain,
% 48.45/31.51 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB29) | (~v130(constB29, bitIndex0)) | v127(constB29, bitIndex0)),
% 48.45/31.51 inference(modus_ponens,[status(thm)],[5634, 5633])).
% 48.45/31.51 tff(5636,plain,
% 48.45/31.51 ((~v130(constB29, bitIndex0)) | v127(constB29, bitIndex0)),
% 48.45/31.51 inference(unit_resolution,[status(thm)],[5635, 926, 5117])).
% 48.45/31.51 tff(5637,plain,
% 48.45/31.51 (v127(constB29, bitIndex0)),
% 48.45/31.51 inference(unit_resolution,[status(thm)],[5636, 5632])).
% 48.45/31.51 tff(5638,plain,
% 48.45/31.51 (((~![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))),
% 48.45/31.51 inference(rewrite,[status(thm)],[])).
% 48.45/31.51 tff(5639,plain,
% 48.45/31.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB29, constB30)) | (~v127(constB29, bitIndex0)) | v129(constB30, bitIndex0))),
% 48.45/31.51 inference(quant_inst,[status(thm)],[])).
% 48.45/31.51 tff(5640,plain,
% 48.45/31.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB29, constB30)) | (~v127(constB29, bitIndex0)) | v129(constB30, bitIndex0)),
% 48.45/31.51 inference(modus_ponens,[status(thm)],[5639, 5638])).
% 48.45/31.51 tff(5641,plain,
% 48.45/31.51 ((~v127(constB29, bitIndex0)) | v129(constB30, bitIndex0)),
% 48.45/31.51 inference(unit_resolution,[status(thm)],[5640, 944, 5128])).
% 48.45/31.51 tff(5642,plain,
% 48.45/31.51 (v129(constB30, bitIndex0)),
% 48.45/31.51 inference(unit_resolution,[status(thm)],[5641, 5637])).
% 48.45/31.51 tff(5643,plain,
% 48.45/31.51 (((~![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)))),
% 48.45/31.51 inference(rewrite,[status(thm)],[])).
% 48.45/31.51 tff(5644,plain,
% 48.45/31.51 ((v90(constB30, bitIndex0) | (~v100(constB30)) | (~v129(constB30, bitIndex0))) <=> (v90(constB30, bitIndex0) | (~v129(constB30, bitIndex0)) | (~v100(constB30)))),
% 48.45/31.51 inference(rewrite,[status(thm)],[])).
% 48.45/31.51 tff(5645,plain,
% 48.45/31.51 (((~![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))))),
% 48.45/31.51 inference(monotonicity,[status(thm)],[5644])).
% 48.45/31.51 tff(5646,plain,
% 48.45/31.51 (((~![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)))),
% 48.45/31.51 inference(transitivity,[status(thm)],[5645, 5643])).
% 48.45/31.51 tff(5647,plain,
% 48.45/31.51 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB30, bitIndex0) | (~v100(constB30)) | (~v129(constB30, bitIndex0)))),
% 48.45/31.51 inference(quant_inst,[status(thm)],[])).
% 48.45/31.51 tff(5648,plain,
% 48.45/31.51 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB30, bitIndex0) | (~v129(constB30, bitIndex0)) | (~v100(constB30))),
% 48.45/31.51 inference(modus_ponens,[status(thm)],[5647, 5646])).
% 48.45/31.51 tff(5649,plain,
% 48.45/31.51 (v90(constB30, bitIndex0) | (~v129(constB30, bitIndex0))),
% 48.45/31.51 inference(unit_resolution,[status(thm)],[5648, 1088, 5562])).
% 48.45/31.51 tff(5650,plain,
% 48.45/31.51 (v90(constB30, bitIndex0)),
% 48.45/31.51 inference(unit_resolution,[status(thm)],[5649, 5642])).
% 48.45/31.51 tff(5651,plain,
% 48.45/31.51 (((~![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))),
% 48.45/31.51 inference(rewrite,[status(thm)],[])).
% 48.45/31.51 tff(5652,plain,
% 48.45/31.51 (((~nextState(constB30, constB31)) | (~v90(constB30, bitIndex0)) | v100(constB31) | v90(constB31, bitIndex0)) <=> ((~v90(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, bitIndex0))),
% 48.45/31.51 inference(rewrite,[status(thm)],[])).
% 48.45/31.51 tff(5653,plain,
% 48.45/31.51 (((~![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)))),
% 48.45/31.51 inference(monotonicity,[status(thm)],[5652])).
% 48.45/31.51 tff(5654,plain,
% 48.45/31.51 (((~![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))),
% 48.45/31.51 inference(transitivity,[status(thm)],[5653, 5651])).
% 48.45/31.51 tff(5655,plain,
% 48.45/31.51 ((~![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))),
% 48.45/31.51 inference(quant_inst,[status(thm)],[])).
% 48.45/31.51 tff(5656,plain,
% 48.45/31.51 ((~![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)),
% 48.45/31.51 inference(modus_ponens,[status(thm)],[5655, 5654])).
% 48.45/31.51 tff(5657,plain,
% 48.45/31.51 ((~v90(constB30, bitIndex0)) | v100(constB31) | v90(constB31, bitIndex0)),
% 48.45/31.51 inference(unit_resolution,[status(thm)],[5656, 1124, 5576])).
% 48.45/31.51 tff(5658,plain,
% 48.45/31.51 ((~v90(constB30, bitIndex0)) | v90(constB31, bitIndex0)),
% 48.45/31.51 inference(unit_resolution,[status(thm)],[5657, 5588])).
% 48.45/31.51 tff(5659,plain,
% 48.45/31.51 (v90(constB31, bitIndex0)),
% 48.45/31.51 inference(unit_resolution,[status(thm)],[5658, 5650])).
% 48.45/31.51 tff(5660,plain,
% 48.45/31.51 (((~![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))),
% 48.45/31.51 inference(rewrite,[status(thm)],[])).
% 48.45/31.51 tff(5661,plain,
% 48.45/31.51 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB31, bitIndex0)) | (~v90(constB31, bitIndex1)) | v90(constB31, bitIndex2) | v122(constB31))),
% 48.45/31.51 inference(quant_inst,[status(thm)],[])).
% 48.45/31.51 tff(5662,plain,
% 48.45/31.51 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB31, bitIndex0)) | (~v90(constB31, bitIndex1)) | v90(constB31, bitIndex2) | v122(constB31)),
% 48.45/31.51 inference(modus_ponens,[status(thm)],[5661, 5660])).
% 48.45/31.51 tff(5663,plain,
% 48.45/31.51 (v122(constB31)),
% 48.45/31.51 inference(unit_resolution,[status(thm)],[5662, 1789, 5659, 5628, 5597])).
% 48.45/31.51 tff(5664,plain,
% 48.45/31.51 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB31) | (~v122(constB31)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB31) | (~v122(constB31)))),
% 48.45/31.51 inference(rewrite,[status(thm)],[])).
% 48.45/31.51 tff(5665,plain,
% 48.45/31.51 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB31) | (~v122(constB31)))),
% 48.45/31.51 inference(quant_inst,[status(thm)],[])).
% 48.45/31.51 tff(5666,plain,
% 48.45/31.51 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB31) | (~v122(constB31))),
% 48.45/31.51 inference(modus_ponens,[status(thm)],[5665, 5664])).
% 48.45/31.51 tff(5667,plain,
% 48.45/31.51 (v116(constB31)),
% 48.45/31.51 inference(unit_resolution,[status(thm)],[5666, 1800, 5663])).
% 48.45/31.51 tff(5668,plain,
% 48.45/31.51 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB31) | (~v116(constB31)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB31) | (~v116(constB31)))),
% 48.45/31.51 inference(rewrite,[status(thm)],[])).
% 48.45/31.51 tff(5669,plain,
% 48.45/31.51 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB31) | (~v116(constB31)))),
% 48.45/31.51 inference(quant_inst,[status(thm)],[])).
% 48.45/31.51 tff(5670,plain,
% 48.45/31.51 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB31) | (~v116(constB31))),
% 48.45/31.51 inference(modus_ponens,[status(thm)],[5669, 5668])).
% 48.45/31.51 tff(5671,plain,
% 48.45/31.51 (v115(constB31)),
% 48.45/31.51 inference(unit_resolution,[status(thm)],[5670, 188, 5667])).
% 48.45/31.51 tff(5672,plain,
% 48.45/31.51 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB31) | (~v115(constB31)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB31) | (~v115(constB31)))),
% 48.45/31.51 inference(rewrite,[status(thm)],[])).
% 48.45/31.51 tff(5673,plain,
% 48.45/31.51 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB31) | (~v115(constB31)))),
% 48.45/31.51 inference(quant_inst,[status(thm)],[])).
% 48.45/31.51 tff(5674,plain,
% 48.45/31.51 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB31) | (~v115(constB31))),
% 48.45/31.51 inference(modus_ponens,[status(thm)],[5673, 5672])).
% 48.45/31.51 tff(5675,plain,
% 48.45/31.51 (v114(constB31)),
% 48.45/31.51 inference(unit_resolution,[status(thm)],[5674, 199, 5671])).
% 48.45/31.51 tff(5676,plain,
% 48.45/31.51 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB31) | (~v114(constB31)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB31) | (~v114(constB31)))),
% 48.45/31.51 inference(rewrite,[status(thm)],[])).
% 48.45/31.51 tff(5677,plain,
% 48.45/31.51 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB31) | (~v114(constB31)))),
% 48.45/31.51 inference(quant_inst,[status(thm)],[])).
% 48.45/31.51 tff(5678,plain,
% 48.45/31.51 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB31) | (~v114(constB31))),
% 48.45/31.51 inference(modus_ponens,[status(thm)],[5677, 5676])).
% 48.45/31.51 tff(5679,plain,
% 48.45/31.51 (v113(constB31)),
% 48.45/31.51 inference(unit_resolution,[status(thm)],[5678, 210, 5675])).
% 48.45/31.51 tff(5680,assumption,(v26(constB31)), introduced(assumption)).
% 48.45/31.51 tff(5681,plain,
% 48.45/31.51 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB31))),
% 48.45/31.51 inference(quant_inst,[status(thm)],[])).
% 48.45/31.51 tff(5682,plain,
% 48.45/31.51 ($false),
% 48.45/31.51 inference(unit_resolution,[status(thm)],[5681, 16, 5680])).
% 48.45/31.51 tff(5683,plain,(~v26(constB31)), inference(lemma,lemma(discharge,[]))).
% 48.45/31.51 tff(5684,plain,
% 48.45/31.51 (((~![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)))),
% 48.45/31.51 inference(rewrite,[status(thm)],[])).
% 48.45/31.51 tff(5685,plain,
% 48.45/31.51 ((v26(constB31) | (~v113(constB31)) | v112(constB31)) <=> (v26(constB31) | v112(constB31) | (~v113(constB31)))),
% 48.45/31.51 inference(rewrite,[status(thm)],[])).
% 48.45/31.51 tff(5686,plain,
% 48.45/31.51 (((~![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))))),
% 48.45/31.51 inference(monotonicity,[status(thm)],[5685])).
% 48.45/31.51 tff(5687,plain,
% 48.45/31.51 (((~![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)))),
% 48.45/31.51 inference(transitivity,[status(thm)],[5686, 5684])).
% 48.45/31.51 tff(5688,plain,
% 48.45/31.51 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB31) | (~v113(constB31)) | v112(constB31))),
% 48.45/31.51 inference(quant_inst,[status(thm)],[])).
% 48.45/31.51 tff(5689,plain,
% 48.45/31.51 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB31) | v112(constB31) | (~v113(constB31))),
% 48.45/31.51 inference(modus_ponens,[status(thm)],[5688, 5687])).
% 48.45/31.51 tff(5690,plain,
% 48.45/31.51 (v112(constB31) | (~v113(constB31))),
% 48.45/31.51 inference(unit_resolution,[status(thm)],[5689, 224, 5683])).
% 48.45/31.51 tff(5691,plain,
% 48.45/31.51 (v112(constB31)),
% 48.45/31.51 inference(unit_resolution,[status(thm)],[5690, 5679])).
% 48.45/31.51 tff(5692,plain,
% 48.45/31.51 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB31) | (~v112(constB31)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB31) | (~v112(constB31)))),
% 48.45/31.51 inference(rewrite,[status(thm)],[])).
% 48.45/31.51 tff(5693,plain,
% 48.45/31.51 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB31) | (~v112(constB31)))),
% 48.45/31.51 inference(quant_inst,[status(thm)],[])).
% 48.45/31.51 tff(5694,plain,
% 48.45/31.51 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB31) | (~v112(constB31))),
% 48.45/31.51 inference(modus_ponens,[status(thm)],[5693, 5692])).
% 48.45/31.51 tff(5695,plain,
% 48.45/31.51 (v108(constB31)),
% 48.45/31.51 inference(unit_resolution,[status(thm)],[5694, 236, 5691])).
% 48.45/31.51 tff(5696,plain,
% 48.45/31.51 (nextState(constB31, constB32) <=> nextState(constB31, constB32)),
% 48.45/31.51 inference(rewrite,[status(thm)],[])).
% 48.45/31.51 tff(5697,axiom,(nextState(constB31, constB32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_31_1')).
% 48.45/31.51 tff(5698,plain,
% 48.45/31.51 (nextState(constB31, constB32)),
% 48.45/31.51 inference(modus_ponens,[status(thm)],[5697, 5696])).
% 48.45/31.51 tff(5699,plain,
% 48.45/31.51 (((~![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)))),
% 48.45/31.51 inference(rewrite,[status(thm)],[])).
% 48.45/31.51 tff(5700,plain,
% 48.45/31.51 (((~nextState(constB31, constB32)) | (~v108(constB31)) | v110(constB32)) <=> ((~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31)))),
% 48.45/31.51 inference(rewrite,[status(thm)],[])).
% 48.45/31.51 tff(5701,plain,
% 48.45/31.51 (((~![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))))),
% 48.45/31.51 inference(monotonicity,[status(thm)],[5700])).
% 48.45/31.51 tff(5702,plain,
% 48.45/31.51 (((~![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)))),
% 48.45/31.51 inference(transitivity,[status(thm)],[5701, 5699])).
% 48.45/31.51 tff(5703,plain,
% 48.45/31.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB31, constB32)) | (~v108(constB31)) | v110(constB32))),
% 48.45/31.51 inference(quant_inst,[status(thm)],[])).
% 48.45/31.51 tff(5704,plain,
% 48.45/31.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31))),
% 48.45/31.51 inference(modus_ponens,[status(thm)],[5703, 5702])).
% 48.45/31.51 tff(5705,plain,
% 48.45/31.51 (v110(constB32) | (~v108(constB31))),
% 48.45/31.51 inference(unit_resolution,[status(thm)],[5704, 253, 5698])).
% 48.45/31.51 tff(5706,plain,
% 48.45/31.51 (v110(constB32)),
% 48.45/31.51 inference(unit_resolution,[status(thm)],[5705, 5695])).
% 48.45/31.51 tff(5707,plain,
% 48.45/31.51 (((~![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)))),
% 48.47/31.51 inference(rewrite,[status(thm)],[])).
% 48.47/31.51 tff(5708,plain,
% 48.47/31.51 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB31) | (~nextState(constB31, constB32)) | (~v104(constB32)))),
% 48.47/31.51 inference(quant_inst,[status(thm)],[])).
% 48.47/31.51 tff(5709,plain,
% 48.47/31.51 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB31) | (~nextState(constB31, constB32)) | (~v104(constB32))),
% 48.47/31.51 inference(modus_ponens,[status(thm)],[5708, 5707])).
% 48.47/31.51 tff(5710,plain,
% 48.47/31.51 (~v104(constB32)),
% 48.47/31.51 inference(unit_resolution,[status(thm)],[5709, 271, 5698, 5573])).
% 48.47/31.51 tff(5711,plain,
% 48.47/31.51 (((~![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))),
% 48.47/31.51 inference(rewrite,[status(thm)],[])).
% 48.47/31.51 tff(5712,plain,
% 48.47/31.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB31, constB32)) | v102(constB32) | v104(constB32))),
% 48.47/31.51 inference(quant_inst,[status(thm)],[])).
% 48.47/31.51 tff(5713,plain,
% 48.47/31.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB31, constB32)) | v102(constB32) | v104(constB32)),
% 48.47/31.51 inference(modus_ponens,[status(thm)],[5712, 5711])).
% 48.47/31.51 tff(5714,plain,
% 48.47/31.51 (v102(constB32) | v104(constB32)),
% 48.47/31.51 inference(unit_resolution,[status(thm)],[5713, 285, 5698])).
% 48.47/31.51 tff(5715,plain,
% 48.47/31.51 (v102(constB32)),
% 48.47/31.51 inference(unit_resolution,[status(thm)],[5714, 5710])).
% 48.47/31.51 tff(5716,plain,
% 48.47/31.51 (v1(constB32) <=> v1(constB32)),
% 48.47/31.51 inference(rewrite,[status(thm)],[])).
% 48.47/31.51 tff(5717,axiom,(v1(constB32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_32_1')).
% 48.47/31.51 tff(5718,plain,
% 48.47/31.51 (v1(constB32)),
% 48.47/31.51 inference(modus_ponens,[status(thm)],[5717, 5716])).
% 48.47/31.51 tff(5719,plain,
% 48.47/31.51 (((~![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)))),
% 48.47/31.51 inference(rewrite,[status(thm)],[])).
% 48.47/31.51 tff(5720,plain,
% 48.47/31.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB31, constB32)) | v101(constB32) | (~v102(constB32)) | (~v1(constB32)))),
% 48.47/31.51 inference(quant_inst,[status(thm)],[])).
% 48.47/31.51 tff(5721,plain,
% 48.47/31.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB31, constB32)) | v101(constB32) | (~v102(constB32)) | (~v1(constB32))),
% 48.47/31.51 inference(modus_ponens,[status(thm)],[5720, 5719])).
% 48.47/31.51 tff(5722,plain,
% 48.47/31.51 (v101(constB32) | (~v102(constB32))),
% 48.47/31.51 inference(unit_resolution,[status(thm)],[5721, 303, 5698, 5718])).
% 48.47/31.51 tff(5723,plain,
% 48.47/31.51 (v101(constB32)),
% 48.47/31.51 inference(unit_resolution,[status(thm)],[5722, 5715])).
% 48.47/31.51 tff(5724,plain,
% 48.47/31.51 (((~![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)))),
% 48.47/31.51 inference(rewrite,[status(thm)],[])).
% 48.47/31.51 tff(5725,plain,
% 48.47/31.51 (((~nextState(constB31, constB32)) | (~v101(constB32)) | (~v110(constB32)) | v100(constB32)) <=> ((~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32)))),
% 48.47/31.51 inference(rewrite,[status(thm)],[])).
% 48.47/31.51 tff(5726,plain,
% 48.47/31.51 (((~![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))))),
% 48.47/31.51 inference(monotonicity,[status(thm)],[5725])).
% 48.47/31.51 tff(5727,plain,
% 48.47/31.51 (((~![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)))),
% 48.47/31.51 inference(transitivity,[status(thm)],[5726, 5724])).
% 48.47/31.51 tff(5728,plain,
% 48.47/31.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB31, constB32)) | (~v101(constB32)) | (~v110(constB32)) | v100(constB32))),
% 48.47/31.51 inference(quant_inst,[status(thm)],[])).
% 48.47/31.51 tff(5729,plain,
% 48.47/31.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32))),
% 48.47/31.51 inference(modus_ponens,[status(thm)],[5728, 5727])).
% 48.47/31.51 tff(5730,plain,
% 48.47/31.51 (v100(constB32) | (~v101(constB32)) | (~v110(constB32))),
% 48.47/31.51 inference(unit_resolution,[status(thm)],[5729, 318, 5698])).
% 48.47/31.51 tff(5731,plain,
% 48.47/31.51 (v100(constB32) | (~v110(constB32))),
% 48.47/31.51 inference(unit_resolution,[status(thm)],[5730, 5723])).
% 48.47/31.51 tff(5732,plain,
% 48.47/31.51 (v100(constB32)),
% 48.47/31.51 inference(unit_resolution,[status(thm)],[5731, 5706])).
% 48.47/31.51 tff(5733,plain,
% 48.47/31.51 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB31)) | v130(constB31, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB31)) | v130(constB31, bitIndex2))),
% 48.47/31.51 inference(rewrite,[status(thm)],[])).
% 48.47/31.51 tff(5734,plain,
% 48.47/31.51 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB31)) | v130(constB31, bitIndex2))),
% 48.47/31.51 inference(quant_inst,[status(thm)],[])).
% 48.47/31.51 tff(5735,plain,
% 48.47/31.51 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB31)) | v130(constB31, bitIndex2)),
% 48.47/31.51 inference(modus_ponens,[status(thm)],[5734, 5733])).
% 48.47/31.51 tff(5736,plain,
% 48.47/31.51 (v130(constB31, bitIndex2)),
% 48.47/31.51 inference(unit_resolution,[status(thm)],[5735, 1876, 5663])).
% 48.47/31.51 tff(5737,plain,
% 48.47/31.51 (((~![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))),
% 48.47/31.51 inference(rewrite,[status(thm)],[])).
% 48.47/31.51 tff(5738,plain,
% 48.47/31.51 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB31) | (~v130(constB31, bitIndex2)) | v127(constB31, bitIndex2))),
% 48.47/31.51 inference(quant_inst,[status(thm)],[])).
% 48.47/31.51 tff(5739,plain,
% 48.47/31.51 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB31) | (~v130(constB31, bitIndex2)) | v127(constB31, bitIndex2)),
% 48.47/31.51 inference(modus_ponens,[status(thm)],[5738, 5737])).
% 48.47/31.51 tff(5740,plain,
% 48.47/31.51 ((~v130(constB31, bitIndex2)) | v127(constB31, bitIndex2)),
% 48.47/31.51 inference(unit_resolution,[status(thm)],[5739, 351, 5683])).
% 48.47/31.51 tff(5741,plain,
% 48.47/31.51 (v127(constB31, bitIndex2)),
% 48.47/31.51 inference(unit_resolution,[status(thm)],[5740, 5736])).
% 48.47/31.51 tff(5742,plain,
% 48.47/31.51 (((~![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))),
% 48.47/31.51 inference(rewrite,[status(thm)],[])).
% 48.47/31.51 tff(5743,plain,
% 48.47/31.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB31, constB32)) | (~v127(constB31, bitIndex2)) | v129(constB32, bitIndex2))),
% 48.47/31.51 inference(quant_inst,[status(thm)],[])).
% 48.47/31.51 tff(5744,plain,
% 48.47/31.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB31, constB32)) | (~v127(constB31, bitIndex2)) | v129(constB32, bitIndex2)),
% 48.47/31.51 inference(modus_ponens,[status(thm)],[5743, 5742])).
% 48.47/31.51 tff(5745,plain,
% 48.47/31.51 ((~v127(constB31, bitIndex2)) | v129(constB32, bitIndex2)),
% 48.47/31.51 inference(unit_resolution,[status(thm)],[5744, 366, 5698])).
% 48.47/31.51 tff(5746,plain,
% 48.47/31.51 (v129(constB32, bitIndex2)),
% 48.47/31.51 inference(unit_resolution,[status(thm)],[5745, 5741])).
% 48.47/31.51 tff(5747,plain,
% 48.47/31.51 (((~![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)))),
% 48.47/31.51 inference(rewrite,[status(thm)],[])).
% 48.47/31.51 tff(5748,plain,
% 48.47/31.51 ((v90(constB32, bitIndex2) | (~v100(constB32)) | (~v129(constB32, bitIndex2))) <=> (v90(constB32, bitIndex2) | (~v129(constB32, bitIndex2)) | (~v100(constB32)))),
% 48.47/31.51 inference(rewrite,[status(thm)],[])).
% 48.47/31.51 tff(5749,plain,
% 48.47/31.51 (((~![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))))),
% 48.47/31.51 inference(monotonicity,[status(thm)],[5748])).
% 48.47/31.51 tff(5750,plain,
% 48.47/31.51 (((~![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)))),
% 48.47/31.51 inference(transitivity,[status(thm)],[5749, 5747])).
% 48.47/31.51 tff(5751,plain,
% 48.47/31.51 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB32, bitIndex2) | (~v100(constB32)) | (~v129(constB32, bitIndex2)))),
% 48.47/31.51 inference(quant_inst,[status(thm)],[])).
% 48.47/31.51 tff(5752,plain,
% 48.47/31.51 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB32, bitIndex2) | (~v129(constB32, bitIndex2)) | (~v100(constB32))),
% 48.47/31.51 inference(modus_ponens,[status(thm)],[5751, 5750])).
% 48.47/31.51 tff(5753,plain,
% 48.47/31.51 (v90(constB32, bitIndex2) | (~v100(constB32))),
% 48.47/31.51 inference(unit_resolution,[status(thm)],[5752, 381, 5746])).
% 48.47/31.51 tff(5754,plain,
% 48.47/31.51 (v90(constB32, bitIndex2)),
% 48.47/31.51 inference(unit_resolution,[status(thm)],[5753, 5732])).
% 48.47/31.51 tff(5755,plain,
% 48.47/31.51 ((~v1(constB33)) <=> (~v1(constB33))),
% 48.47/31.51 inference(rewrite,[status(thm)],[])).
% 48.47/31.51 tff(5756,axiom,(~v1(constB33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_33_1_1')).
% 48.47/31.51 tff(5757,plain,
% 48.47/31.51 (~v1(constB33)),
% 48.47/31.51 inference(modus_ponens,[status(thm)],[5756, 5755])).
% 48.47/31.51 tff(5758,plain,
% 48.47/31.51 (nextState(constB32, constB33) <=> nextState(constB32, constB33)),
% 48.47/31.51 inference(rewrite,[status(thm)],[])).
% 48.47/31.51 tff(5759,axiom,(nextState(constB32, constB33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_32_1')).
% 48.47/31.51 tff(5760,plain,
% 48.47/31.51 (nextState(constB32, constB33)),
% 48.47/31.52 inference(modus_ponens,[status(thm)],[5759, 5758])).
% 48.47/31.52 tff(5761,plain,
% 48.47/31.52 (((~![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)))),
% 48.47/31.52 inference(rewrite,[status(thm)],[])).
% 48.47/31.52 tff(5762,plain,
% 48.47/31.52 (((~nextState(constB32, constB33)) | (~v101(constB33)) | v1(constB33)) <=> (v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33)))),
% 48.47/31.52 inference(rewrite,[status(thm)],[])).
% 48.47/31.52 tff(5763,plain,
% 48.47/31.52 (((~![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))))),
% 48.47/31.52 inference(monotonicity,[status(thm)],[5762])).
% 48.47/31.52 tff(5764,plain,
% 48.47/31.52 (((~![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)))),
% 48.47/31.52 inference(transitivity,[status(thm)],[5763, 5761])).
% 48.47/31.52 tff(5765,plain,
% 48.47/31.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB32, constB33)) | (~v101(constB33)) | v1(constB33))),
% 48.47/31.52 inference(quant_inst,[status(thm)],[])).
% 48.47/31.52 tff(5766,plain,
% 48.47/31.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33))),
% 48.47/31.52 inference(modus_ponens,[status(thm)],[5765, 5764])).
% 48.47/31.52 tff(5767,plain,
% 48.47/31.52 (~v101(constB33)),
% 48.47/31.52 inference(unit_resolution,[status(thm)],[5766, 49, 5760, 5757])).
% 48.47/31.52 tff(5768,plain,
% 48.47/31.52 (((~![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)))),
% 48.47/31.52 inference(rewrite,[status(thm)],[])).
% 48.47/31.52 tff(5769,plain,
% 48.47/31.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB32, constB33)) | v101(constB33) | (~v100(constB33)))),
% 48.47/31.52 inference(quant_inst,[status(thm)],[])).
% 48.47/31.52 tff(5770,plain,
% 48.47/31.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB32, constB33)) | v101(constB33) | (~v100(constB33))),
% 48.47/31.52 inference(modus_ponens,[status(thm)],[5769, 5768])).
% 48.47/31.52 tff(5771,plain,
% 48.47/31.52 (v101(constB33) | (~v100(constB33))),
% 48.47/31.52 inference(unit_resolution,[status(thm)],[5770, 66, 5760])).
% 48.47/31.52 tff(5772,plain,
% 48.47/31.52 (~v100(constB33)),
% 48.47/31.52 inference(unit_resolution,[status(thm)],[5771, 5767])).
% 48.47/31.52 tff(5773,plain,
% 48.47/31.52 (((~![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))),
% 48.47/31.52 inference(rewrite,[status(thm)],[])).
% 48.47/31.52 tff(5774,plain,
% 48.47/31.52 (((~nextState(constB32, constB33)) | (~v90(constB32, bitIndex2)) | v100(constB33) | v90(constB33, bitIndex2)) <=> ((~v90(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, bitIndex2))),
% 48.47/31.52 inference(rewrite,[status(thm)],[])).
% 48.47/31.52 tff(5775,plain,
% 48.47/31.52 (((~![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)))),
% 48.47/31.52 inference(monotonicity,[status(thm)],[5774])).
% 48.47/31.52 tff(5776,plain,
% 48.47/31.52 (((~![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))),
% 48.47/31.52 inference(transitivity,[status(thm)],[5775, 5773])).
% 48.47/31.52 tff(5777,plain,
% 48.47/31.52 ((~![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))),
% 48.47/31.52 inference(quant_inst,[status(thm)],[])).
% 48.47/31.52 tff(5778,plain,
% 48.47/31.52 ((~![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)),
% 48.47/31.52 inference(modus_ponens,[status(thm)],[5777, 5776])).
% 48.47/31.52 tff(5779,plain,
% 48.47/31.52 ((~v90(constB32, bitIndex2)) | v100(constB33) | v90(constB33, bitIndex2)),
% 48.47/31.52 inference(unit_resolution,[status(thm)],[5778, 417, 5760])).
% 48.47/31.52 tff(5780,plain,
% 48.47/31.52 ((~v90(constB32, bitIndex2)) | v90(constB33, bitIndex2)),
% 48.47/31.52 inference(unit_resolution,[status(thm)],[5779, 5772])).
% 48.47/31.52 tff(5781,plain,
% 48.47/31.52 (v90(constB33, bitIndex2)),
% 48.47/31.52 inference(unit_resolution,[status(thm)],[5780, 5754])).
% 48.47/31.52 tff(5782,plain,
% 48.47/31.52 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB31)) | (~v130(constB31, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB31)) | (~v130(constB31, bitIndex1)))),
% 48.47/31.52 inference(rewrite,[status(thm)],[])).
% 48.47/31.52 tff(5783,plain,
% 48.47/31.52 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB31)) | (~v130(constB31, bitIndex1)))),
% 48.47/31.52 inference(quant_inst,[status(thm)],[])).
% 48.47/31.52 tff(5784,plain,
% 48.47/31.52 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB31)) | (~v130(constB31, bitIndex1))),
% 48.47/31.52 inference(modus_ponens,[status(thm)],[5783, 5782])).
% 48.47/31.52 tff(5785,plain,
% 48.47/31.52 (~v130(constB31, bitIndex1)),
% 48.47/31.52 inference(unit_resolution,[status(thm)],[5784, 1935, 5663])).
% 48.47/31.52 tff(5786,plain,
% 48.47/31.52 (((~![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))),
% 48.47/31.52 inference(rewrite,[status(thm)],[])).
% 48.47/31.52 tff(5787,plain,
% 48.47/31.52 ((v26(constB31) | v130(constB31, bitIndex1) | (~v127(constB31, bitIndex1))) <=> ((~v127(constB31, bitIndex1)) | v26(constB31) | v130(constB31, bitIndex1))),
% 48.47/31.52 inference(rewrite,[status(thm)],[])).
% 48.47/31.52 tff(5788,plain,
% 48.47/31.52 (((~![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)))),
% 48.47/31.52 inference(monotonicity,[status(thm)],[5787])).
% 48.47/31.52 tff(5789,plain,
% 48.47/31.52 (((~![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))),
% 48.47/31.52 inference(transitivity,[status(thm)],[5788, 5786])).
% 48.47/31.52 tff(5790,plain,
% 48.47/31.52 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB31) | v130(constB31, bitIndex1) | (~v127(constB31, bitIndex1)))),
% 48.47/31.52 inference(quant_inst,[status(thm)],[])).
% 48.47/31.52 tff(5791,plain,
% 48.47/31.52 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB31, bitIndex1)) | v26(constB31) | v130(constB31, bitIndex1)),
% 48.47/31.52 inference(modus_ponens,[status(thm)],[5790, 5789])).
% 48.47/31.52 tff(5792,plain,
% 48.47/31.52 ((~v127(constB31, bitIndex1)) | v130(constB31, bitIndex1)),
% 48.47/31.52 inference(unit_resolution,[status(thm)],[5791, 450, 5683])).
% 48.47/31.52 tff(5793,plain,
% 48.47/31.52 (~v127(constB31, bitIndex1)),
% 48.47/31.52 inference(unit_resolution,[status(thm)],[5792, 5785])).
% 48.47/31.52 tff(5794,plain,
% 48.47/31.52 (((~![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)))),
% 48.47/31.52 inference(rewrite,[status(thm)],[])).
% 48.47/31.52 tff(5795,plain,
% 48.47/31.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB31, constB32)) | v127(constB31, bitIndex1) | (~v129(constB32, bitIndex1)))),
% 48.47/31.52 inference(quant_inst,[status(thm)],[])).
% 48.47/31.52 tff(5796,plain,
% 48.47/31.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB31, constB32)) | v127(constB31, bitIndex1) | (~v129(constB32, bitIndex1))),
% 48.47/31.52 inference(modus_ponens,[status(thm)],[5795, 5794])).
% 48.47/31.52 tff(5797,plain,
% 48.47/31.52 (v127(constB31, bitIndex1) | (~v129(constB32, bitIndex1))),
% 48.47/31.52 inference(unit_resolution,[status(thm)],[5796, 468, 5698])).
% 48.47/31.52 tff(5798,plain,
% 48.47/31.52 (~v129(constB32, bitIndex1)),
% 48.47/31.52 inference(unit_resolution,[status(thm)],[5797, 5793])).
% 48.47/31.52 tff(5799,plain,
% 48.47/31.52 (((~![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)))),
% 48.47/31.52 inference(rewrite,[status(thm)],[])).
% 48.47/31.52 tff(5800,plain,
% 48.47/31.52 (((~v90(constB32, bitIndex1)) | (~v100(constB32)) | v129(constB32, bitIndex1)) <=> ((~v90(constB32, bitIndex1)) | v129(constB32, bitIndex1) | (~v100(constB32)))),
% 48.47/31.52 inference(rewrite,[status(thm)],[])).
% 48.47/31.52 tff(5801,plain,
% 48.47/31.52 (((~![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))))),
% 48.47/31.52 inference(monotonicity,[status(thm)],[5800])).
% 48.47/31.52 tff(5802,plain,
% 48.47/31.52 (((~![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)))),
% 48.47/31.52 inference(transitivity,[status(thm)],[5801, 5799])).
% 48.47/31.52 tff(5803,plain,
% 48.47/31.52 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB32, bitIndex1)) | (~v100(constB32)) | v129(constB32, bitIndex1))),
% 48.47/31.52 inference(quant_inst,[status(thm)],[])).
% 48.47/31.52 tff(5804,plain,
% 48.47/31.52 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB32, bitIndex1)) | v129(constB32, bitIndex1) | (~v100(constB32))),
% 48.47/31.52 inference(modus_ponens,[status(thm)],[5803, 5802])).
% 48.47/31.52 tff(5805,plain,
% 48.47/31.52 ((~v90(constB32, bitIndex1)) | (~v100(constB32))),
% 48.47/31.52 inference(unit_resolution,[status(thm)],[5804, 483, 5798])).
% 48.47/31.52 tff(5806,plain,
% 48.47/31.52 (~v90(constB32, bitIndex1)),
% 48.47/31.52 inference(unit_resolution,[status(thm)],[5805, 5732])).
% 48.47/31.52 tff(5807,plain,
% 48.47/31.52 (((~![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)))),
% 48.47/31.52 inference(rewrite,[status(thm)],[])).
% 48.47/31.52 tff(5808,plain,
% 48.47/31.52 (((~nextState(constB32, constB33)) | v90(constB32, bitIndex1) | v100(constB33) | (~v90(constB33, bitIndex1))) <=> (v90(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex1)))),
% 48.47/31.52 inference(rewrite,[status(thm)],[])).
% 48.47/31.52 tff(5809,plain,
% 48.47/31.52 (((~![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))))),
% 48.47/31.52 inference(monotonicity,[status(thm)],[5808])).
% 48.47/31.52 tff(5810,plain,
% 48.47/31.52 (((~![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)))),
% 48.47/31.52 inference(transitivity,[status(thm)],[5809, 5807])).
% 48.47/31.52 tff(5811,plain,
% 48.47/31.52 ((~![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)))),
% 48.47/31.52 inference(quant_inst,[status(thm)],[])).
% 48.47/31.52 tff(5812,plain,
% 48.47/31.52 ((~![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))),
% 48.47/31.52 inference(modus_ponens,[status(thm)],[5811, 5810])).
% 48.47/31.52 tff(5813,plain,
% 48.47/31.52 (v90(constB32, bitIndex1) | v100(constB33) | (~v90(constB33, bitIndex1))),
% 48.47/31.52 inference(unit_resolution,[status(thm)],[5812, 102, 5760])).
% 48.47/31.52 tff(5814,plain,
% 48.47/31.52 (v90(constB32, bitIndex1) | (~v90(constB33, bitIndex1))),
% 48.47/31.52 inference(unit_resolution,[status(thm)],[5813, 5772])).
% 48.47/31.52 tff(5815,plain,
% 48.47/31.52 (~v90(constB33, bitIndex1)),
% 48.47/31.52 inference(unit_resolution,[status(thm)],[5814, 5806])).
% 48.47/31.52 tff(5816,plain,
% 48.47/31.52 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB31)) | (~v130(constB31, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB31)) | (~v130(constB31, bitIndex0)))),
% 48.47/31.52 inference(rewrite,[status(thm)],[])).
% 48.47/31.52 tff(5817,plain,
% 48.47/31.52 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB31)) | (~v130(constB31, bitIndex0)))),
% 48.47/31.52 inference(quant_inst,[status(thm)],[])).
% 48.47/31.52 tff(5818,plain,
% 48.47/31.52 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB31)) | (~v130(constB31, bitIndex0))),
% 48.47/31.52 inference(modus_ponens,[status(thm)],[5817, 5816])).
% 48.47/31.52 tff(5819,plain,
% 48.47/31.52 (~v130(constB31, bitIndex0)),
% 48.47/31.52 inference(unit_resolution,[status(thm)],[5818, 1997, 5663])).
% 48.47/31.52 tff(5820,plain,
% 48.47/31.52 (((~![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))),
% 48.47/31.52 inference(rewrite,[status(thm)],[])).
% 48.47/31.52 tff(5821,plain,
% 48.47/31.52 ((v26(constB31) | v130(constB31, bitIndex0) | (~v127(constB31, bitIndex0))) <=> ((~v127(constB31, bitIndex0)) | v26(constB31) | v130(constB31, bitIndex0))),
% 48.47/31.52 inference(rewrite,[status(thm)],[])).
% 48.47/31.52 tff(5822,plain,
% 48.47/31.52 (((~![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)))),
% 48.47/31.52 inference(monotonicity,[status(thm)],[5821])).
% 48.47/31.52 tff(5823,plain,
% 48.47/31.52 (((~![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))),
% 48.47/31.52 inference(transitivity,[status(thm)],[5822, 5820])).
% 48.47/31.52 tff(5824,plain,
% 48.47/31.52 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB31) | v130(constB31, bitIndex0) | (~v127(constB31, bitIndex0)))),
% 48.47/31.52 inference(quant_inst,[status(thm)],[])).
% 48.47/31.52 tff(5825,plain,
% 48.47/31.52 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB31, bitIndex0)) | v26(constB31) | v130(constB31, bitIndex0)),
% 48.47/31.52 inference(modus_ponens,[status(thm)],[5824, 5823])).
% 48.47/31.52 tff(5826,plain,
% 48.47/31.52 ((~v127(constB31, bitIndex0)) | v130(constB31, bitIndex0)),
% 48.47/31.52 inference(unit_resolution,[status(thm)],[5825, 524, 5683])).
% 48.47/31.52 tff(5827,plain,
% 48.47/31.52 (~v127(constB31, bitIndex0)),
% 48.47/31.52 inference(unit_resolution,[status(thm)],[5826, 5819])).
% 48.47/31.52 tff(5828,plain,
% 48.47/31.52 (((~![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)))),
% 48.47/31.52 inference(rewrite,[status(thm)],[])).
% 48.47/31.52 tff(5829,plain,
% 48.47/31.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB31, constB32)) | v127(constB31, bitIndex0) | (~v129(constB32, bitIndex0)))),
% 48.47/31.52 inference(quant_inst,[status(thm)],[])).
% 48.47/31.52 tff(5830,plain,
% 48.47/31.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB31, constB32)) | v127(constB31, bitIndex0) | (~v129(constB32, bitIndex0))),
% 48.47/31.52 inference(modus_ponens,[status(thm)],[5829, 5828])).
% 48.47/31.52 tff(5831,plain,
% 48.47/31.52 (v127(constB31, bitIndex0) | (~v129(constB32, bitIndex0))),
% 48.47/31.52 inference(unit_resolution,[status(thm)],[5830, 542, 5698])).
% 48.47/31.52 tff(5832,plain,
% 48.47/31.52 (~v129(constB32, bitIndex0)),
% 48.47/31.52 inference(unit_resolution,[status(thm)],[5831, 5827])).
% 48.47/31.52 tff(5833,plain,
% 48.47/31.52 (((~![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)))),
% 48.47/31.52 inference(rewrite,[status(thm)],[])).
% 48.47/31.52 tff(5834,plain,
% 48.47/31.52 (((~v90(constB32, bitIndex0)) | (~v100(constB32)) | v129(constB32, bitIndex0)) <=> ((~v90(constB32, bitIndex0)) | v129(constB32, bitIndex0) | (~v100(constB32)))),
% 48.47/31.52 inference(rewrite,[status(thm)],[])).
% 48.47/31.52 tff(5835,plain,
% 48.47/31.52 (((~![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))))),
% 48.47/31.52 inference(monotonicity,[status(thm)],[5834])).
% 48.47/31.52 tff(5836,plain,
% 48.47/31.52 (((~![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)))),
% 48.47/31.52 inference(transitivity,[status(thm)],[5835, 5833])).
% 48.47/31.52 tff(5837,plain,
% 48.47/31.52 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB32, bitIndex0)) | (~v100(constB32)) | v129(constB32, bitIndex0))),
% 48.47/31.52 inference(quant_inst,[status(thm)],[])).
% 48.47/31.52 tff(5838,plain,
% 48.47/31.52 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB32, bitIndex0)) | v129(constB32, bitIndex0) | (~v100(constB32))),
% 48.47/31.52 inference(modus_ponens,[status(thm)],[5837, 5836])).
% 48.47/31.52 tff(5839,plain,
% 48.47/31.52 ((~v90(constB32, bitIndex0)) | (~v100(constB32))),
% 48.47/31.52 inference(unit_resolution,[status(thm)],[5838, 557, 5832])).
% 48.47/31.52 tff(5840,plain,
% 48.47/31.52 (~v90(constB32, bitIndex0)),
% 48.47/31.52 inference(unit_resolution,[status(thm)],[5839, 5732])).
% 48.47/31.52 tff(5841,plain,
% 48.47/31.52 (((~![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)))),
% 48.47/31.52 inference(rewrite,[status(thm)],[])).
% 48.47/31.52 tff(5842,plain,
% 48.47/31.52 (((~nextState(constB32, constB33)) | v90(constB32, bitIndex0) | v100(constB33) | (~v90(constB33, bitIndex0))) <=> (v90(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, bitIndex0)))),
% 48.47/31.52 inference(rewrite,[status(thm)],[])).
% 48.47/31.52 tff(5843,plain,
% 48.47/31.52 (((~![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))))),
% 48.47/31.52 inference(monotonicity,[status(thm)],[5842])).
% 48.47/31.52 tff(5844,plain,
% 48.47/31.52 (((~![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)))),
% 48.47/31.52 inference(transitivity,[status(thm)],[5843, 5841])).
% 48.47/31.52 tff(5845,plain,
% 48.47/31.52 ((~![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)))),
% 48.47/31.52 inference(quant_inst,[status(thm)],[])).
% 48.47/31.52 tff(5846,plain,
% 48.47/31.52 ((~![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))),
% 48.47/31.52 inference(modus_ponens,[status(thm)],[5845, 5844])).
% 48.47/31.52 tff(5847,plain,
% 48.47/31.52 (v90(constB32, bitIndex0) | v100(constB33) | (~v90(constB33, bitIndex0))),
% 48.47/31.52 inference(unit_resolution,[status(thm)],[5846, 123, 5760])).
% 48.47/31.52 tff(5848,plain,
% 48.47/31.52 (v90(constB32, bitIndex0) | (~v90(constB33, bitIndex0))),
% 48.47/31.52 inference(unit_resolution,[status(thm)],[5847, 5772])).
% 48.47/31.52 tff(5849,plain,
% 48.47/31.52 (~v90(constB33, bitIndex0)),
% 48.47/31.52 inference(unit_resolution,[status(thm)],[5848, 5840])).
% 48.47/31.52 tff(5850,plain,
% 48.47/31.52 (((~![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))),
% 48.47/31.52 inference(rewrite,[status(thm)],[])).
% 48.47/31.52 tff(5851,plain,
% 48.47/31.52 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)) | v123(constB33))),
% 48.47/31.52 inference(quant_inst,[status(thm)],[])).
% 48.47/31.52 tff(5852,plain,
% 48.47/31.52 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB33, bitIndex0) | v90(constB33, bitIndex1) | (~v90(constB33, bitIndex2)) | v123(constB33)),
% 48.47/31.52 inference(modus_ponens,[status(thm)],[5851, 5850])).
% 48.47/31.52 tff(5853,plain,
% 48.47/31.52 (v123(constB33)),
% 48.47/31.52 inference(unit_resolution,[status(thm)],[5852, 584, 5849, 5815, 5781])).
% 48.47/31.52 tff(5854,plain,
% 48.47/31.52 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB33) | (~v123(constB33)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB33) | (~v123(constB33)))),
% 48.47/31.52 inference(rewrite,[status(thm)],[])).
% 48.47/31.52 tff(5855,plain,
% 48.47/31.52 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB33) | (~v123(constB33)))),
% 48.47/31.52 inference(quant_inst,[status(thm)],[])).
% 48.47/31.52 tff(5856,plain,
% 48.47/31.52 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB33) | (~v123(constB33))),
% 48.47/31.52 inference(modus_ponens,[status(thm)],[5855, 5854])).
% 48.47/31.52 tff(5857,plain,
% 48.47/31.52 (v115(constB33)),
% 48.47/31.52 inference(unit_resolution,[status(thm)],[5856, 595, 5853])).
% 48.47/31.52 tff(5858,plain,
% 48.47/31.52 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB33) | (~v115(constB33)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB33) | (~v115(constB33)))),
% 48.47/31.52 inference(rewrite,[status(thm)],[])).
% 48.47/31.52 tff(5859,plain,
% 48.47/31.52 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB33) | (~v115(constB33)))),
% 48.47/31.52 inference(quant_inst,[status(thm)],[])).
% 48.47/31.52 tff(5860,plain,
% 48.47/31.52 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB33) | (~v115(constB33))),
% 48.47/31.52 inference(modus_ponens,[status(thm)],[5859, 5858])).
% 48.47/31.52 tff(5861,plain,
% 48.47/31.52 (v114(constB33)),
% 48.47/31.52 inference(unit_resolution,[status(thm)],[5860, 199, 5857])).
% 48.47/31.52 tff(5862,plain,
% 48.47/31.52 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB33) | (~v114(constB33)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB33) | (~v114(constB33)))),
% 48.47/31.52 inference(rewrite,[status(thm)],[])).
% 48.47/31.52 tff(5863,plain,
% 48.47/31.52 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB33) | (~v114(constB33)))),
% 48.47/31.52 inference(quant_inst,[status(thm)],[])).
% 48.47/31.52 tff(5864,plain,
% 48.47/31.52 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB33) | (~v114(constB33))),
% 48.47/31.52 inference(modus_ponens,[status(thm)],[5863, 5862])).
% 48.47/31.52 tff(5865,plain,
% 48.47/31.52 (v113(constB33)),
% 48.47/31.52 inference(unit_resolution,[status(thm)],[5864, 210, 5861])).
% 48.47/31.52 tff(5866,assumption,(v26(constB33)), introduced(assumption)).
% 48.47/31.52 tff(5867,plain,
% 48.47/31.52 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB33))),
% 48.47/31.52 inference(quant_inst,[status(thm)],[])).
% 48.47/31.52 tff(5868,plain,
% 48.47/31.52 ($false),
% 48.47/31.52 inference(unit_resolution,[status(thm)],[5867, 16, 5866])).
% 48.47/31.52 tff(5869,plain,(~v26(constB33)), inference(lemma,lemma(discharge,[]))).
% 48.47/31.52 tff(5870,plain,
% 48.47/31.52 (((~![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))),
% 48.47/31.52 inference(rewrite,[status(thm)],[])).
% 48.47/31.52 tff(5871,plain,
% 48.47/31.52 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB33) | (~v113(constB33)) | v112(constB33))),
% 48.47/31.52 inference(quant_inst,[status(thm)],[])).
% 48.47/31.52 tff(5872,plain,
% 48.47/31.52 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB33) | (~v113(constB33)) | v112(constB33)),
% 48.47/31.52 inference(modus_ponens,[status(thm)],[5871, 5870])).
% 48.47/31.52 tff(5873,plain,
% 48.47/31.52 ((~v113(constB33)) | v112(constB33)),
% 48.47/31.52 inference(unit_resolution,[status(thm)],[5872, 224, 5869])).
% 48.47/31.52 tff(5874,plain,
% 48.47/31.52 (v112(constB33)),
% 48.47/31.52 inference(unit_resolution,[status(thm)],[5873, 5865])).
% 48.47/31.52 tff(5875,plain,
% 48.47/31.52 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB33) | (~v112(constB33)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB33) | (~v112(constB33)))),
% 48.47/31.52 inference(rewrite,[status(thm)],[])).
% 48.47/31.52 tff(5876,plain,
% 48.47/31.52 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB33) | (~v112(constB33)))),
% 48.47/31.52 inference(quant_inst,[status(thm)],[])).
% 48.47/31.52 tff(5877,plain,
% 48.47/31.52 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB33) | (~v112(constB33))),
% 48.47/31.52 inference(modus_ponens,[status(thm)],[5876, 5875])).
% 48.47/31.52 tff(5878,plain,
% 48.47/31.52 (v108(constB33)),
% 48.47/31.52 inference(unit_resolution,[status(thm)],[5877, 236, 5874])).
% 48.47/31.52 tff(5879,plain,
% 48.47/31.52 (nextState(constB33, constB34) <=> nextState(constB33, constB34)),
% 48.47/31.52 inference(rewrite,[status(thm)],[])).
% 48.47/31.52 tff(5880,axiom,(nextState(constB33, constB34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_33_1')).
% 48.47/31.52 tff(5881,plain,
% 48.47/31.52 (nextState(constB33, constB34)),
% 48.47/31.52 inference(modus_ponens,[status(thm)],[5880, 5879])).
% 48.47/31.52 tff(5882,plain,
% 48.47/31.52 (((~![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)))),
% 48.47/31.52 inference(rewrite,[status(thm)],[])).
% 48.47/31.52 tff(5883,plain,
% 48.47/31.52 (((~nextState(constB33, constB34)) | (~v108(constB33)) | v110(constB34)) <=> ((~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33)))),
% 48.47/31.52 inference(rewrite,[status(thm)],[])).
% 48.47/31.52 tff(5884,plain,
% 48.47/31.52 (((~![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))))),
% 48.47/31.52 inference(monotonicity,[status(thm)],[5883])).
% 48.47/31.52 tff(5885,plain,
% 48.47/31.52 (((~![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)))),
% 48.47/31.53 inference(transitivity,[status(thm)],[5884, 5882])).
% 48.47/31.53 tff(5886,plain,
% 48.47/31.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB33, constB34)) | (~v108(constB33)) | v110(constB34))),
% 48.47/31.53 inference(quant_inst,[status(thm)],[])).
% 48.47/31.53 tff(5887,plain,
% 48.47/31.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33))),
% 48.47/31.53 inference(modus_ponens,[status(thm)],[5886, 5885])).
% 48.47/31.53 tff(5888,plain,
% 48.47/31.53 (v110(constB34) | (~v108(constB33))),
% 48.47/31.53 inference(unit_resolution,[status(thm)],[5887, 253, 5881])).
% 48.47/31.53 tff(5889,plain,
% 48.47/31.53 (v110(constB34)),
% 48.47/31.53 inference(unit_resolution,[status(thm)],[5888, 5878])).
% 48.47/31.53 tff(5890,plain,
% 48.47/31.53 (((~![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)))),
% 48.47/31.53 inference(rewrite,[status(thm)],[])).
% 48.47/31.53 tff(5891,plain,
% 48.47/31.53 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB33) | (~nextState(constB33, constB34)) | (~v104(constB34)))),
% 48.47/31.53 inference(quant_inst,[status(thm)],[])).
% 48.47/31.53 tff(5892,plain,
% 48.47/31.53 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB33) | (~nextState(constB33, constB34)) | (~v104(constB34))),
% 48.47/31.53 inference(modus_ponens,[status(thm)],[5891, 5890])).
% 48.47/31.53 tff(5893,plain,
% 48.47/31.53 (~v104(constB34)),
% 48.47/31.53 inference(unit_resolution,[status(thm)],[5892, 271, 5881, 5757])).
% 48.47/31.53 tff(5894,plain,
% 48.47/31.53 (((~![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))),
% 48.47/31.53 inference(rewrite,[status(thm)],[])).
% 48.47/31.53 tff(5895,plain,
% 48.47/31.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB33, constB34)) | v102(constB34) | v104(constB34))),
% 48.47/31.53 inference(quant_inst,[status(thm)],[])).
% 48.47/31.53 tff(5896,plain,
% 48.47/31.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB33, constB34)) | v102(constB34) | v104(constB34)),
% 48.47/31.53 inference(modus_ponens,[status(thm)],[5895, 5894])).
% 48.47/31.53 tff(5897,plain,
% 48.47/31.53 (v102(constB34) | v104(constB34)),
% 48.47/31.53 inference(unit_resolution,[status(thm)],[5896, 285, 5881])).
% 48.47/31.53 tff(5898,plain,
% 48.47/31.53 (v102(constB34)),
% 48.47/31.53 inference(unit_resolution,[status(thm)],[5897, 5893])).
% 48.47/31.53 tff(5899,plain,
% 48.47/31.53 (v1(constB34) <=> v1(constB34)),
% 48.47/31.53 inference(rewrite,[status(thm)],[])).
% 48.47/31.53 tff(5900,axiom,(v1(constB34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_34_1')).
% 48.47/31.53 tff(5901,plain,
% 48.47/31.53 (v1(constB34)),
% 48.47/31.53 inference(modus_ponens,[status(thm)],[5900, 5899])).
% 48.47/31.53 tff(5902,plain,
% 48.47/31.53 (((~![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)))),
% 48.47/31.53 inference(rewrite,[status(thm)],[])).
% 48.47/31.53 tff(5903,plain,
% 48.47/31.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB33, constB34)) | v101(constB34) | (~v102(constB34)) | (~v1(constB34)))),
% 48.47/31.53 inference(quant_inst,[status(thm)],[])).
% 48.47/31.53 tff(5904,plain,
% 48.47/31.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB33, constB34)) | v101(constB34) | (~v102(constB34)) | (~v1(constB34))),
% 48.47/31.53 inference(modus_ponens,[status(thm)],[5903, 5902])).
% 48.47/31.53 tff(5905,plain,
% 48.47/31.53 (v101(constB34) | (~v102(constB34))),
% 48.47/31.53 inference(unit_resolution,[status(thm)],[5904, 303, 5881, 5901])).
% 48.47/31.53 tff(5906,plain,
% 48.47/31.53 (v101(constB34)),
% 48.47/31.53 inference(unit_resolution,[status(thm)],[5905, 5898])).
% 48.47/31.53 tff(5907,plain,
% 48.47/31.53 (((~![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)))),
% 48.47/31.53 inference(rewrite,[status(thm)],[])).
% 48.47/31.53 tff(5908,plain,
% 48.47/31.53 (((~nextState(constB33, constB34)) | (~v101(constB34)) | (~v110(constB34)) | v100(constB34)) <=> ((~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34)))),
% 48.47/31.53 inference(rewrite,[status(thm)],[])).
% 48.47/31.53 tff(5909,plain,
% 48.47/31.53 (((~![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))))),
% 48.47/31.53 inference(monotonicity,[status(thm)],[5908])).
% 48.47/31.53 tff(5910,plain,
% 48.47/31.53 (((~![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)))),
% 48.47/31.53 inference(transitivity,[status(thm)],[5909, 5907])).
% 48.47/31.53 tff(5911,plain,
% 48.47/31.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB33, constB34)) | (~v101(constB34)) | (~v110(constB34)) | v100(constB34))),
% 48.47/31.53 inference(quant_inst,[status(thm)],[])).
% 48.47/31.53 tff(5912,plain,
% 48.47/31.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34))),
% 48.47/31.53 inference(modus_ponens,[status(thm)],[5911, 5910])).
% 48.47/31.53 tff(5913,plain,
% 48.47/31.53 (v100(constB34) | (~v101(constB34)) | (~v110(constB34))),
% 48.47/31.53 inference(unit_resolution,[status(thm)],[5912, 318, 5881])).
% 48.47/31.53 tff(5914,plain,
% 48.47/31.53 (v100(constB34) | (~v110(constB34))),
% 48.47/31.53 inference(unit_resolution,[status(thm)],[5913, 5906])).
% 48.47/31.53 tff(5915,plain,
% 48.47/31.53 (v100(constB34)),
% 48.47/31.53 inference(unit_resolution,[status(thm)],[5914, 5889])).
% 48.47/31.53 tff(5916,plain,
% 48.47/31.53 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB33)) | v130(constB33, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB33)) | v130(constB33, bitIndex2))),
% 48.47/31.53 inference(rewrite,[status(thm)],[])).
% 48.47/31.53 tff(5917,plain,
% 48.47/31.53 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB33)) | v130(constB33, bitIndex2))),
% 48.47/31.53 inference(quant_inst,[status(thm)],[])).
% 48.47/31.53 tff(5918,plain,
% 48.47/31.53 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB33)) | v130(constB33, bitIndex2)),
% 48.47/31.53 inference(modus_ponens,[status(thm)],[5917, 5916])).
% 48.47/31.53 tff(5919,plain,
% 48.47/31.53 (v130(constB33, bitIndex2)),
% 48.47/31.53 inference(unit_resolution,[status(thm)],[5918, 836, 5853])).
% 48.47/31.53 tff(5920,plain,
% 48.47/31.53 (((~![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))),
% 48.47/31.53 inference(rewrite,[status(thm)],[])).
% 48.47/31.53 tff(5921,plain,
% 48.47/31.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB33) | (~v130(constB33, bitIndex2)) | v127(constB33, bitIndex2))),
% 48.47/31.53 inference(quant_inst,[status(thm)],[])).
% 48.47/31.53 tff(5922,plain,
% 48.47/31.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB33) | (~v130(constB33, bitIndex2)) | v127(constB33, bitIndex2)),
% 48.47/31.53 inference(modus_ponens,[status(thm)],[5921, 5920])).
% 48.47/31.53 tff(5923,plain,
% 48.47/31.53 ((~v130(constB33, bitIndex2)) | v127(constB33, bitIndex2)),
% 48.47/31.53 inference(unit_resolution,[status(thm)],[5922, 351, 5869])).
% 48.47/31.53 tff(5924,plain,
% 48.47/31.53 (v127(constB33, bitIndex2)),
% 48.47/31.53 inference(unit_resolution,[status(thm)],[5923, 5919])).
% 48.47/31.53 tff(5925,plain,
% 48.47/31.53 (((~![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))),
% 48.47/31.53 inference(rewrite,[status(thm)],[])).
% 48.47/31.53 tff(5926,plain,
% 48.47/31.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB33, constB34)) | (~v127(constB33, bitIndex2)) | v129(constB34, bitIndex2))),
% 48.47/31.53 inference(quant_inst,[status(thm)],[])).
% 48.47/31.53 tff(5927,plain,
% 48.47/31.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB33, constB34)) | (~v127(constB33, bitIndex2)) | v129(constB34, bitIndex2)),
% 48.47/31.53 inference(modus_ponens,[status(thm)],[5926, 5925])).
% 48.47/31.53 tff(5928,plain,
% 48.47/31.53 ((~v127(constB33, bitIndex2)) | v129(constB34, bitIndex2)),
% 48.47/31.53 inference(unit_resolution,[status(thm)],[5927, 366, 5881])).
% 48.47/31.53 tff(5929,plain,
% 48.47/31.53 (v129(constB34, bitIndex2)),
% 48.47/31.53 inference(unit_resolution,[status(thm)],[5928, 5924])).
% 48.47/31.53 tff(5930,plain,
% 48.47/31.53 (((~![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)))),
% 48.47/31.53 inference(rewrite,[status(thm)],[])).
% 48.47/31.53 tff(5931,plain,
% 48.47/31.53 ((v90(constB34, bitIndex2) | (~v100(constB34)) | (~v129(constB34, bitIndex2))) <=> (v90(constB34, bitIndex2) | (~v129(constB34, bitIndex2)) | (~v100(constB34)))),
% 48.47/31.53 inference(rewrite,[status(thm)],[])).
% 48.47/31.53 tff(5932,plain,
% 48.47/31.53 (((~![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))))),
% 48.47/31.53 inference(monotonicity,[status(thm)],[5931])).
% 48.47/31.53 tff(5933,plain,
% 48.47/31.53 (((~![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)))),
% 48.47/31.53 inference(transitivity,[status(thm)],[5932, 5930])).
% 48.47/31.53 tff(5934,plain,
% 48.47/31.53 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB34, bitIndex2) | (~v100(constB34)) | (~v129(constB34, bitIndex2)))),
% 48.47/31.53 inference(quant_inst,[status(thm)],[])).
% 48.47/31.53 tff(5935,plain,
% 48.47/31.53 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB34, bitIndex2) | (~v129(constB34, bitIndex2)) | (~v100(constB34))),
% 48.47/31.53 inference(modus_ponens,[status(thm)],[5934, 5933])).
% 48.47/31.53 tff(5936,plain,
% 48.47/31.53 (v90(constB34, bitIndex2) | (~v100(constB34))),
% 48.47/31.53 inference(unit_resolution,[status(thm)],[5935, 381, 5929])).
% 48.47/31.53 tff(5937,plain,
% 48.47/31.53 (v90(constB34, bitIndex2)),
% 48.47/31.53 inference(unit_resolution,[status(thm)],[5936, 5915])).
% 48.47/31.53 tff(5938,plain,
% 48.47/31.53 ((~v1(constB35)) <=> (~v1(constB35))),
% 48.47/31.53 inference(rewrite,[status(thm)],[])).
% 48.47/31.53 tff(5939,axiom,(~v1(constB35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_35_1_1')).
% 48.47/31.53 tff(5940,plain,
% 48.47/31.53 (~v1(constB35)),
% 48.47/31.53 inference(modus_ponens,[status(thm)],[5939, 5938])).
% 48.47/31.53 tff(5941,plain,
% 48.47/31.53 (nextState(constB34, constB35) <=> nextState(constB34, constB35)),
% 48.47/31.53 inference(rewrite,[status(thm)],[])).
% 48.47/31.53 tff(5942,axiom,(nextState(constB34, constB35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_34_1')).
% 48.47/31.53 tff(5943,plain,
% 48.47/31.53 (nextState(constB34, constB35)),
% 48.47/31.53 inference(modus_ponens,[status(thm)],[5942, 5941])).
% 48.47/31.53 tff(5944,plain,
% 48.47/31.53 (((~![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)))),
% 48.47/31.53 inference(rewrite,[status(thm)],[])).
% 48.47/31.53 tff(5945,plain,
% 48.47/31.53 (((~nextState(constB34, constB35)) | (~v101(constB35)) | v1(constB35)) <=> (v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35)))),
% 48.47/31.53 inference(rewrite,[status(thm)],[])).
% 48.47/31.53 tff(5946,plain,
% 48.47/31.53 (((~![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))))),
% 48.47/31.53 inference(monotonicity,[status(thm)],[5945])).
% 48.47/31.53 tff(5947,plain,
% 48.47/31.53 (((~![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)))),
% 48.47/31.53 inference(transitivity,[status(thm)],[5946, 5944])).
% 48.47/31.53 tff(5948,plain,
% 48.47/31.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB34, constB35)) | (~v101(constB35)) | v1(constB35))),
% 48.47/31.53 inference(quant_inst,[status(thm)],[])).
% 48.47/31.53 tff(5949,plain,
% 48.47/31.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35))),
% 48.47/31.53 inference(modus_ponens,[status(thm)],[5948, 5947])).
% 48.47/31.53 tff(5950,plain,
% 48.47/31.53 (~v101(constB35)),
% 48.47/31.53 inference(unit_resolution,[status(thm)],[5949, 49, 5943, 5940])).
% 48.47/31.53 tff(5951,plain,
% 48.47/31.53 (((~![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)))),
% 48.47/31.53 inference(rewrite,[status(thm)],[])).
% 48.47/31.53 tff(5952,plain,
% 48.47/31.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB34, constB35)) | v101(constB35) | (~v100(constB35)))),
% 48.47/31.53 inference(quant_inst,[status(thm)],[])).
% 48.47/31.53 tff(5953,plain,
% 48.47/31.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB34, constB35)) | v101(constB35) | (~v100(constB35))),
% 48.47/31.53 inference(modus_ponens,[status(thm)],[5952, 5951])).
% 48.47/31.53 tff(5954,plain,
% 48.47/31.53 (v101(constB35) | (~v100(constB35))),
% 48.47/31.53 inference(unit_resolution,[status(thm)],[5953, 66, 5943])).
% 48.47/31.53 tff(5955,plain,
% 48.47/31.53 (~v100(constB35)),
% 48.47/31.53 inference(unit_resolution,[status(thm)],[5954, 5950])).
% 48.47/31.53 tff(5956,plain,
% 48.47/31.53 (((~![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))),
% 48.47/31.53 inference(rewrite,[status(thm)],[])).
% 48.47/31.53 tff(5957,plain,
% 48.47/31.53 (((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex2)) | v100(constB35) | v90(constB35, bitIndex2)) <=> ((~v90(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex2))),
% 48.47/31.53 inference(rewrite,[status(thm)],[])).
% 48.47/31.53 tff(5958,plain,
% 48.47/31.53 (((~![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)))),
% 48.47/31.53 inference(monotonicity,[status(thm)],[5957])).
% 48.47/31.53 tff(5959,plain,
% 48.47/31.53 (((~![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))),
% 48.47/31.53 inference(transitivity,[status(thm)],[5958, 5956])).
% 48.47/31.53 tff(5960,plain,
% 48.47/31.53 ((~![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))),
% 48.47/31.53 inference(quant_inst,[status(thm)],[])).
% 48.47/31.53 tff(5961,plain,
% 48.47/31.53 ((~![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)),
% 48.47/31.53 inference(modus_ponens,[status(thm)],[5960, 5959])).
% 48.47/31.53 tff(5962,plain,
% 48.47/31.53 ((~v90(constB34, bitIndex2)) | v100(constB35) | v90(constB35, bitIndex2)),
% 48.47/31.53 inference(unit_resolution,[status(thm)],[5961, 417, 5943])).
% 48.47/31.53 tff(5963,plain,
% 48.47/31.53 ((~v90(constB34, bitIndex2)) | v90(constB35, bitIndex2)),
% 48.47/31.53 inference(unit_resolution,[status(thm)],[5962, 5955])).
% 48.47/31.53 tff(5964,plain,
% 48.47/31.53 (v90(constB35, bitIndex2)),
% 48.47/31.53 inference(unit_resolution,[status(thm)],[5963, 5937])).
% 48.47/31.53 tff(5965,plain,
% 48.47/31.53 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB33)) | v130(constB33, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB33)) | v130(constB33, bitIndex1))),
% 48.47/31.53 inference(rewrite,[status(thm)],[])).
% 48.47/31.53 tff(5966,plain,
% 48.47/31.53 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB33)) | v130(constB33, bitIndex1))),
% 48.47/31.53 inference(quant_inst,[status(thm)],[])).
% 48.47/31.53 tff(5967,plain,
% 48.47/31.53 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB33)) | v130(constB33, bitIndex1)),
% 48.47/31.53 inference(modus_ponens,[status(thm)],[5966, 5965])).
% 48.47/31.53 tff(5968,plain,
% 48.47/31.53 (v130(constB33, bitIndex1)),
% 48.47/31.53 inference(unit_resolution,[status(thm)],[5967, 667, 5853])).
% 48.47/31.53 tff(5969,plain,
% 48.47/31.53 (((~![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))) | v26(constB33) | (~v130(constB33, bitIndex1)) | v127(constB33, bitIndex1))),
% 48.47/31.53 inference(rewrite,[status(thm)],[])).
% 48.47/31.53 tff(5970,plain,
% 48.47/31.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB33) | (~v130(constB33, bitIndex1)) | v127(constB33, bitIndex1))),
% 48.47/31.53 inference(quant_inst,[status(thm)],[])).
% 48.47/31.53 tff(5971,plain,
% 48.47/31.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB33) | (~v130(constB33, bitIndex1)) | v127(constB33, bitIndex1)),
% 48.47/31.53 inference(modus_ponens,[status(thm)],[5970, 5969])).
% 48.47/31.53 tff(5972,plain,
% 48.47/31.53 ((~v130(constB33, bitIndex1)) | v127(constB33, bitIndex1)),
% 48.47/31.53 inference(unit_resolution,[status(thm)],[5971, 681, 5869])).
% 48.47/31.53 tff(5973,plain,
% 48.47/31.53 (v127(constB33, bitIndex1)),
% 48.47/31.53 inference(unit_resolution,[status(thm)],[5972, 5968])).
% 48.47/31.53 tff(5974,plain,
% 48.47/31.53 (((~![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))),
% 48.47/31.53 inference(rewrite,[status(thm)],[])).
% 48.47/31.53 tff(5975,plain,
% 48.47/31.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB33, constB34)) | (~v127(constB33, bitIndex1)) | v129(constB34, bitIndex1))),
% 48.47/31.53 inference(quant_inst,[status(thm)],[])).
% 48.47/31.53 tff(5976,plain,
% 48.47/31.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB33, constB34)) | (~v127(constB33, bitIndex1)) | v129(constB34, bitIndex1)),
% 48.47/31.53 inference(modus_ponens,[status(thm)],[5975, 5974])).
% 48.47/31.53 tff(5977,plain,
% 48.47/31.53 ((~v127(constB33, bitIndex1)) | v129(constB34, bitIndex1)),
% 48.47/31.53 inference(unit_resolution,[status(thm)],[5976, 696, 5881])).
% 48.47/31.53 tff(5978,plain,
% 48.47/31.53 (v129(constB34, bitIndex1)),
% 48.47/31.53 inference(unit_resolution,[status(thm)],[5977, 5973])).
% 48.47/31.53 tff(5979,plain,
% 48.47/31.53 (((~![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)))),
% 48.47/31.53 inference(rewrite,[status(thm)],[])).
% 48.47/31.53 tff(5980,plain,
% 48.47/31.53 ((v90(constB34, bitIndex1) | (~v100(constB34)) | (~v129(constB34, bitIndex1))) <=> (v90(constB34, bitIndex1) | (~v129(constB34, bitIndex1)) | (~v100(constB34)))),
% 48.47/31.53 inference(rewrite,[status(thm)],[])).
% 48.47/31.53 tff(5981,plain,
% 48.47/31.53 (((~![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))))),
% 48.47/31.53 inference(monotonicity,[status(thm)],[5980])).
% 48.47/31.53 tff(5982,plain,
% 48.47/31.53 (((~![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)))),
% 48.47/31.53 inference(transitivity,[status(thm)],[5981, 5979])).
% 48.47/31.53 tff(5983,plain,
% 48.47/31.53 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB34, bitIndex1) | (~v100(constB34)) | (~v129(constB34, bitIndex1)))),
% 48.47/31.53 inference(quant_inst,[status(thm)],[])).
% 48.47/31.53 tff(5984,plain,
% 48.47/31.53 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB34, bitIndex1) | (~v129(constB34, bitIndex1)) | (~v100(constB34))),
% 48.47/31.53 inference(modus_ponens,[status(thm)],[5983, 5982])).
% 48.47/31.53 tff(5985,plain,
% 48.47/31.53 (v90(constB34, bitIndex1) | (~v100(constB34))),
% 48.47/31.53 inference(unit_resolution,[status(thm)],[5984, 711, 5978])).
% 48.47/31.53 tff(5986,plain,
% 48.47/31.53 (v90(constB34, bitIndex1)),
% 48.47/31.53 inference(unit_resolution,[status(thm)],[5985, 5915])).
% 48.47/31.53 tff(5987,plain,
% 48.47/31.53 (((~![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))),
% 48.47/31.53 inference(rewrite,[status(thm)],[])).
% 48.47/31.53 tff(5988,plain,
% 48.47/31.53 (((~nextState(constB34, constB35)) | (~v90(constB34, bitIndex1)) | v100(constB35) | v90(constB35, bitIndex1)) <=> ((~v90(constB34, bitIndex1)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, bitIndex1))),
% 48.47/31.53 inference(rewrite,[status(thm)],[])).
% 48.47/31.53 tff(5989,plain,
% 48.47/31.53 (((~![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)))),
% 48.47/31.53 inference(monotonicity,[status(thm)],[5988])).
% 48.47/31.53 tff(5990,plain,
% 48.47/31.53 (((~![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))),
% 48.47/31.53 inference(transitivity,[status(thm)],[5989, 5987])).
% 48.47/31.53 tff(5991,plain,
% 48.47/31.53 ((~![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))),
% 48.47/31.53 inference(quant_inst,[status(thm)],[])).
% 48.47/31.53 tff(5992,plain,
% 48.47/31.53 ((~![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)),
% 48.47/31.53 inference(modus_ponens,[status(thm)],[5991, 5990])).
% 48.47/31.53 tff(5993,plain,
% 48.47/31.53 ((~v90(constB34, bitIndex1)) | v100(constB35) | v90(constB35, bitIndex1)),
% 48.47/31.53 inference(unit_resolution,[status(thm)],[5992, 747, 5943])).
% 48.47/31.53 tff(5994,plain,
% 48.47/31.53 ((~v90(constB34, bitIndex1)) | v90(constB35, bitIndex1)),
% 48.47/31.53 inference(unit_resolution,[status(thm)],[5993, 5955])).
% 48.47/31.53 tff(5995,plain,
% 48.47/31.53 (v90(constB35, bitIndex1)),
% 48.47/31.53 inference(unit_resolution,[status(thm)],[5994, 5986])).
% 48.47/31.53 tff(5996,plain,
% 48.47/31.53 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB33)) | (~v130(constB33, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB33)) | (~v130(constB33, bitIndex0)))),
% 48.47/31.53 inference(rewrite,[status(thm)],[])).
% 48.47/31.53 tff(5997,plain,
% 48.47/31.53 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB33)) | (~v130(constB33, bitIndex0)))),
% 48.47/31.53 inference(quant_inst,[status(thm)],[])).
% 48.47/31.53 tff(5998,plain,
% 48.47/31.53 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB33)) | (~v130(constB33, bitIndex0))),
% 48.47/31.53 inference(modus_ponens,[status(thm)],[5997, 5996])).
% 48.47/31.53 tff(5999,plain,
% 48.47/31.53 (~v130(constB33, bitIndex0)),
% 48.47/31.53 inference(unit_resolution,[status(thm)],[5998, 975, 5853])).
% 48.47/31.53 tff(6000,plain,
% 48.47/31.53 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB33, bitIndex0)) | v26(constB33) | v130(constB33, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB33, bitIndex0)) | v26(constB33) | v130(constB33, bitIndex0))),
% 48.47/31.53 inference(rewrite,[status(thm)],[])).
% 48.47/31.53 tff(6001,plain,
% 48.47/31.53 ((v26(constB33) | v130(constB33, bitIndex0) | (~v127(constB33, bitIndex0))) <=> ((~v127(constB33, bitIndex0)) | v26(constB33) | v130(constB33, bitIndex0))),
% 48.47/31.53 inference(rewrite,[status(thm)],[])).
% 48.47/31.53 tff(6002,plain,
% 48.47/31.53 (((~![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)))) | ((~v127(constB33, bitIndex0)) | v26(constB33) | v130(constB33, bitIndex0)))),
% 48.47/31.53 inference(monotonicity,[status(thm)],[6001])).
% 48.47/31.53 tff(6003,plain,
% 48.47/31.53 (((~![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)))) | (~v127(constB33, bitIndex0)) | v26(constB33) | v130(constB33, bitIndex0))),
% 48.47/31.53 inference(transitivity,[status(thm)],[6002, 6000])).
% 48.47/31.53 tff(6004,plain,
% 48.47/31.53 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB33) | v130(constB33, bitIndex0) | (~v127(constB33, bitIndex0)))),
% 48.47/31.53 inference(quant_inst,[status(thm)],[])).
% 48.47/31.53 tff(6005,plain,
% 48.47/31.53 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB33, bitIndex0)) | v26(constB33) | v130(constB33, bitIndex0)),
% 48.47/31.53 inference(modus_ponens,[status(thm)],[6004, 6003])).
% 48.47/31.53 tff(6006,plain,
% 48.47/31.53 ((~v127(constB33, bitIndex0)) | v130(constB33, bitIndex0)),
% 48.47/31.53 inference(unit_resolution,[status(thm)],[6005, 524, 5869])).
% 48.47/31.53 tff(6007,plain,
% 48.47/31.53 (~v127(constB33, bitIndex0)),
% 48.47/31.53 inference(unit_resolution,[status(thm)],[6006, 5999])).
% 48.47/31.53 tff(6008,plain,
% 48.47/31.53 (((~![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)))),
% 48.47/31.54 inference(rewrite,[status(thm)],[])).
% 48.47/31.54 tff(6009,plain,
% 48.47/31.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB33, constB34)) | v127(constB33, bitIndex0) | (~v129(constB34, bitIndex0)))),
% 48.47/31.54 inference(quant_inst,[status(thm)],[])).
% 48.47/31.54 tff(6010,plain,
% 48.47/31.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB33, constB34)) | v127(constB33, bitIndex0) | (~v129(constB34, bitIndex0))),
% 48.47/31.54 inference(modus_ponens,[status(thm)],[6009, 6008])).
% 48.47/31.54 tff(6011,plain,
% 48.47/31.54 (v127(constB33, bitIndex0) | (~v129(constB34, bitIndex0))),
% 48.47/31.54 inference(unit_resolution,[status(thm)],[6010, 542, 5881])).
% 48.47/31.54 tff(6012,plain,
% 48.47/31.54 (~v129(constB34, bitIndex0)),
% 48.47/31.54 inference(unit_resolution,[status(thm)],[6011, 6007])).
% 48.47/31.54 tff(6013,plain,
% 48.47/31.54 (((~![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)))),
% 48.47/31.54 inference(rewrite,[status(thm)],[])).
% 48.47/31.54 tff(6014,plain,
% 48.47/31.54 (((~v90(constB34, bitIndex0)) | (~v100(constB34)) | v129(constB34, bitIndex0)) <=> ((~v90(constB34, bitIndex0)) | v129(constB34, bitIndex0) | (~v100(constB34)))),
% 48.47/31.54 inference(rewrite,[status(thm)],[])).
% 48.47/31.54 tff(6015,plain,
% 48.47/31.54 (((~![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))))),
% 48.47/31.54 inference(monotonicity,[status(thm)],[6014])).
% 48.47/31.54 tff(6016,plain,
% 48.47/31.54 (((~![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)))),
% 48.47/31.54 inference(transitivity,[status(thm)],[6015, 6013])).
% 48.47/31.54 tff(6017,plain,
% 48.47/31.54 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB34, bitIndex0)) | (~v100(constB34)) | v129(constB34, bitIndex0))),
% 48.47/31.54 inference(quant_inst,[status(thm)],[])).
% 48.47/31.54 tff(6018,plain,
% 48.47/31.54 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB34, bitIndex0)) | v129(constB34, bitIndex0) | (~v100(constB34))),
% 48.47/31.54 inference(modus_ponens,[status(thm)],[6017, 6016])).
% 48.47/31.54 tff(6019,plain,
% 48.47/31.54 ((~v90(constB34, bitIndex0)) | (~v100(constB34))),
% 48.47/31.54 inference(unit_resolution,[status(thm)],[6018, 557, 6012])).
% 48.47/31.54 tff(6020,plain,
% 48.47/31.54 (~v90(constB34, bitIndex0)),
% 48.47/31.54 inference(unit_resolution,[status(thm)],[6019, 5915])).
% 48.47/31.54 tff(6021,plain,
% 48.47/31.54 (((~![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)))),
% 48.47/31.54 inference(rewrite,[status(thm)],[])).
% 48.47/31.54 tff(6022,plain,
% 48.47/31.54 (((~nextState(constB34, constB35)) | v90(constB34, bitIndex0) | v100(constB35) | (~v90(constB35, bitIndex0))) <=> (v90(constB34, bitIndex0) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, bitIndex0)))),
% 48.47/31.54 inference(rewrite,[status(thm)],[])).
% 48.47/31.54 tff(6023,plain,
% 48.47/31.54 (((~![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))))),
% 48.47/31.54 inference(monotonicity,[status(thm)],[6022])).
% 48.47/31.54 tff(6024,plain,
% 48.47/31.54 (((~![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)))),
% 48.47/31.54 inference(transitivity,[status(thm)],[6023, 6021])).
% 48.47/31.54 tff(6025,plain,
% 48.47/31.54 ((~![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)))),
% 48.47/31.54 inference(quant_inst,[status(thm)],[])).
% 48.47/31.54 tff(6026,plain,
% 48.47/31.54 ((~![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))),
% 48.47/31.54 inference(modus_ponens,[status(thm)],[6025, 6024])).
% 48.47/31.54 tff(6027,plain,
% 48.47/31.54 (v90(constB34, bitIndex0) | v100(constB35) | (~v90(constB35, bitIndex0))),
% 48.47/31.54 inference(unit_resolution,[status(thm)],[6026, 123, 5943])).
% 48.47/31.54 tff(6028,plain,
% 48.47/31.54 (v90(constB34, bitIndex0) | (~v90(constB35, bitIndex0))),
% 48.47/31.54 inference(unit_resolution,[status(thm)],[6027, 5955])).
% 48.47/31.54 tff(6029,plain,
% 48.47/31.54 (~v90(constB35, bitIndex0)),
% 48.47/31.54 inference(unit_resolution,[status(thm)],[6028, 6020])).
% 48.47/31.54 tff(6030,plain,
% 48.47/31.54 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB35, bitIndex0) | (~v90(constB35, bitIndex1)) | (~v90(constB35, bitIndex2)) | v125(constB35))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB35, bitIndex0) | (~v90(constB35, bitIndex1)) | (~v90(constB35, bitIndex2)) | v125(constB35))),
% 48.47/31.54 inference(rewrite,[status(thm)],[])).
% 48.47/31.54 tff(6031,plain,
% 48.47/31.54 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB35, bitIndex0) | (~v90(constB35, bitIndex1)) | (~v90(constB35, bitIndex2)) | v125(constB35))),
% 48.47/31.54 inference(quant_inst,[status(thm)],[])).
% 48.47/31.54 tff(6032,plain,
% 48.47/31.54 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB35, bitIndex0) | (~v90(constB35, bitIndex1)) | (~v90(constB35, bitIndex2)) | v125(constB35)),
% 48.47/31.54 inference(modus_ponens,[status(thm)],[6031, 6030])).
% 48.47/31.54 tff(6033,plain,
% 48.47/31.54 (v125(constB35)),
% 48.47/31.54 inference(unit_resolution,[status(thm)],[6032, 1019, 6029, 5995, 5964])).
% 48.47/31.54 tff(6034,plain,
% 48.47/31.54 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB35) | (~v125(constB35)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB35) | (~v125(constB35)))),
% 48.47/31.54 inference(rewrite,[status(thm)],[])).
% 48.47/31.54 tff(6035,plain,
% 48.47/31.54 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB35) | (~v125(constB35)))),
% 48.47/31.54 inference(quant_inst,[status(thm)],[])).
% 48.47/31.54 tff(6036,plain,
% 48.47/31.54 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB35) | (~v125(constB35))),
% 48.47/31.54 inference(modus_ponens,[status(thm)],[6035, 6034])).
% 48.47/31.54 tff(6037,plain,
% 48.47/31.54 (v113(constB35)),
% 48.47/31.54 inference(unit_resolution,[status(thm)],[6036, 1031, 6033])).
% 48.47/31.54 tff(6038,assumption,(v26(constB35)), introduced(assumption)).
% 48.47/31.54 tff(6039,plain,
% 48.47/31.54 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB35))),
% 48.47/31.54 inference(quant_inst,[status(thm)],[])).
% 48.47/31.54 tff(6040,plain,
% 48.47/31.54 ($false),
% 48.47/31.54 inference(unit_resolution,[status(thm)],[6039, 16, 6038])).
% 48.47/31.54 tff(6041,plain,(~v26(constB35)), inference(lemma,lemma(discharge,[]))).
% 48.47/31.54 tff(6042,plain,
% 48.47/31.54 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB35) | (~v113(constB35)) | v112(constB35))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB35) | (~v113(constB35)) | v112(constB35))),
% 48.47/31.54 inference(rewrite,[status(thm)],[])).
% 48.47/31.54 tff(6043,plain,
% 48.47/31.54 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB35) | (~v113(constB35)) | v112(constB35))),
% 48.47/31.54 inference(quant_inst,[status(thm)],[])).
% 48.47/31.54 tff(6044,plain,
% 48.47/31.54 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB35) | (~v113(constB35)) | v112(constB35)),
% 48.47/31.54 inference(modus_ponens,[status(thm)],[6043, 6042])).
% 48.47/31.54 tff(6045,plain,
% 48.47/31.54 ((~v113(constB35)) | v112(constB35)),
% 48.47/31.54 inference(unit_resolution,[status(thm)],[6044, 224, 6041])).
% 48.47/31.54 tff(6046,plain,
% 48.47/31.54 (v112(constB35)),
% 48.47/31.54 inference(unit_resolution,[status(thm)],[6045, 6037])).
% 48.47/31.54 tff(6047,plain,
% 48.47/31.54 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB35) | (~v112(constB35)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB35) | (~v112(constB35)))),
% 48.47/31.54 inference(rewrite,[status(thm)],[])).
% 48.47/31.54 tff(6048,plain,
% 48.47/31.54 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB35) | (~v112(constB35)))),
% 48.47/31.54 inference(quant_inst,[status(thm)],[])).
% 48.47/31.54 tff(6049,plain,
% 48.47/31.54 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB35) | (~v112(constB35))),
% 48.47/31.54 inference(modus_ponens,[status(thm)],[6048, 6047])).
% 48.47/31.54 tff(6050,plain,
% 48.47/31.54 (v108(constB35)),
% 48.47/31.54 inference(unit_resolution,[status(thm)],[6049, 236, 6046])).
% 48.47/31.54 tff(6051,plain,
% 48.47/31.54 (nextState(constB35, constB36) <=> nextState(constB35, constB36)),
% 48.47/31.54 inference(rewrite,[status(thm)],[])).
% 48.47/31.54 tff(6052,axiom,(nextState(constB35, constB36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_35_1')).
% 48.47/31.54 tff(6053,plain,
% 48.47/31.54 (nextState(constB35, constB36)),
% 48.47/31.54 inference(modus_ponens,[status(thm)],[6052, 6051])).
% 48.47/31.54 tff(6054,plain,
% 48.47/31.54 (((~![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)))),
% 48.47/31.54 inference(rewrite,[status(thm)],[])).
% 48.47/31.54 tff(6055,plain,
% 48.47/31.54 (((~nextState(constB35, constB36)) | (~v108(constB35)) | v110(constB36)) <=> ((~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35)))),
% 48.47/31.54 inference(rewrite,[status(thm)],[])).
% 48.47/31.54 tff(6056,plain,
% 48.47/31.54 (((~![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))))),
% 48.47/31.54 inference(monotonicity,[status(thm)],[6055])).
% 48.47/31.54 tff(6057,plain,
% 48.47/31.54 (((~![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)))),
% 48.47/31.54 inference(transitivity,[status(thm)],[6056, 6054])).
% 48.47/31.54 tff(6058,plain,
% 48.47/31.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB35, constB36)) | (~v108(constB35)) | v110(constB36))),
% 48.47/31.54 inference(quant_inst,[status(thm)],[])).
% 48.47/31.54 tff(6059,plain,
% 48.47/31.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35))),
% 48.47/31.54 inference(modus_ponens,[status(thm)],[6058, 6057])).
% 48.47/31.54 tff(6060,plain,
% 48.47/31.54 (v110(constB36) | (~v108(constB35))),
% 48.47/31.54 inference(unit_resolution,[status(thm)],[6059, 253, 6053])).
% 48.47/31.54 tff(6061,plain,
% 48.47/31.54 (v110(constB36)),
% 48.47/31.54 inference(unit_resolution,[status(thm)],[6060, 6050])).
% 48.47/31.54 tff(6062,plain,
% 48.47/31.54 (((~![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)))),
% 48.47/31.54 inference(rewrite,[status(thm)],[])).
% 48.47/31.54 tff(6063,plain,
% 48.47/31.54 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB35) | (~nextState(constB35, constB36)) | (~v104(constB36)))),
% 48.47/31.54 inference(quant_inst,[status(thm)],[])).
% 48.47/31.54 tff(6064,plain,
% 48.47/31.54 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB35) | (~nextState(constB35, constB36)) | (~v104(constB36))),
% 48.47/31.54 inference(modus_ponens,[status(thm)],[6063, 6062])).
% 48.47/31.54 tff(6065,plain,
% 48.47/31.54 (~v104(constB36)),
% 48.47/31.54 inference(unit_resolution,[status(thm)],[6064, 271, 6053, 5940])).
% 48.47/31.54 tff(6066,plain,
% 48.47/31.54 (((~![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))),
% 48.47/31.54 inference(rewrite,[status(thm)],[])).
% 48.47/31.54 tff(6067,plain,
% 48.47/31.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB35, constB36)) | v102(constB36) | v104(constB36))),
% 48.47/31.54 inference(quant_inst,[status(thm)],[])).
% 48.47/31.54 tff(6068,plain,
% 48.47/31.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB35, constB36)) | v102(constB36) | v104(constB36)),
% 48.47/31.54 inference(modus_ponens,[status(thm)],[6067, 6066])).
% 48.47/31.54 tff(6069,plain,
% 48.47/31.54 (v102(constB36) | v104(constB36)),
% 48.47/31.54 inference(unit_resolution,[status(thm)],[6068, 285, 6053])).
% 48.47/31.54 tff(6070,plain,
% 48.47/31.54 (v102(constB36)),
% 48.47/31.54 inference(unit_resolution,[status(thm)],[6069, 6065])).
% 48.47/31.54 tff(6071,plain,
% 48.47/31.54 (v1(constB36) <=> v1(constB36)),
% 48.47/31.54 inference(rewrite,[status(thm)],[])).
% 48.47/31.54 tff(6072,axiom,(v1(constB36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_36_1')).
% 48.47/31.54 tff(6073,plain,
% 48.47/31.54 (v1(constB36)),
% 48.47/31.54 inference(modus_ponens,[status(thm)],[6072, 6071])).
% 48.47/31.54 tff(6074,plain,
% 48.47/31.54 (((~![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)))),
% 48.47/31.54 inference(rewrite,[status(thm)],[])).
% 48.47/31.54 tff(6075,plain,
% 48.47/31.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB35, constB36)) | v101(constB36) | (~v102(constB36)) | (~v1(constB36)))),
% 48.47/31.54 inference(quant_inst,[status(thm)],[])).
% 48.47/31.54 tff(6076,plain,
% 48.47/31.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB35, constB36)) | v101(constB36) | (~v102(constB36)) | (~v1(constB36))),
% 48.47/31.54 inference(modus_ponens,[status(thm)],[6075, 6074])).
% 48.47/31.54 tff(6077,plain,
% 48.47/31.54 (v101(constB36) | (~v102(constB36))),
% 48.47/31.54 inference(unit_resolution,[status(thm)],[6076, 303, 6053, 6073])).
% 48.47/31.54 tff(6078,plain,
% 48.47/31.54 (v101(constB36)),
% 48.47/31.54 inference(unit_resolution,[status(thm)],[6077, 6070])).
% 48.47/31.54 tff(6079,plain,
% 48.47/31.54 (((~![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)))),
% 48.47/31.54 inference(rewrite,[status(thm)],[])).
% 48.47/31.54 tff(6080,plain,
% 48.47/31.54 (((~nextState(constB35, constB36)) | (~v101(constB36)) | (~v110(constB36)) | v100(constB36)) <=> ((~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36)))),
% 48.47/31.54 inference(rewrite,[status(thm)],[])).
% 48.47/31.54 tff(6081,plain,
% 48.47/31.54 (((~![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))))),
% 48.47/31.54 inference(monotonicity,[status(thm)],[6080])).
% 48.47/31.54 tff(6082,plain,
% 48.47/31.54 (((~![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)))),
% 48.47/31.54 inference(transitivity,[status(thm)],[6081, 6079])).
% 48.47/31.54 tff(6083,plain,
% 48.47/31.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB35, constB36)) | (~v101(constB36)) | (~v110(constB36)) | v100(constB36))),
% 48.47/31.54 inference(quant_inst,[status(thm)],[])).
% 48.47/31.54 tff(6084,plain,
% 48.47/31.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36))),
% 48.47/31.54 inference(modus_ponens,[status(thm)],[6083, 6082])).
% 48.47/31.54 tff(6085,plain,
% 48.47/31.54 (v100(constB36) | (~v101(constB36)) | (~v110(constB36))),
% 48.47/31.54 inference(unit_resolution,[status(thm)],[6084, 318, 6053])).
% 48.47/31.54 tff(6086,plain,
% 48.47/31.54 (v100(constB36) | (~v110(constB36))),
% 48.47/31.54 inference(unit_resolution,[status(thm)],[6085, 6078])).
% 48.47/31.54 tff(6087,plain,
% 48.47/31.54 (v100(constB36)),
% 48.47/31.54 inference(unit_resolution,[status(thm)],[6086, 6061])).
% 48.47/31.54 tff(6088,plain,
% 48.47/31.54 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB35, bitIndex2)) | (~v121(constB35)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB35, bitIndex2)) | (~v121(constB35)))),
% 48.47/31.54 inference(rewrite,[status(thm)],[])).
% 48.47/31.54 tff(6089,plain,
% 48.47/31.54 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB35, bitIndex2)) | (~v121(constB35)))),
% 48.47/31.54 inference(quant_inst,[status(thm)],[])).
% 48.47/31.54 tff(6090,plain,
% 48.47/31.54 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB35, bitIndex2)) | (~v121(constB35))),
% 48.47/31.54 inference(modus_ponens,[status(thm)],[6089, 6088])).
% 48.47/31.54 tff(6091,plain,
% 48.47/31.54 (~v121(constB35)),
% 48.47/31.54 inference(unit_resolution,[status(thm)],[6090, 883, 5964])).
% 48.47/31.54 tff(6092,plain,
% 48.47/31.54 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB35, bitIndex2)) | (~v122(constB35)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB35, bitIndex2)) | (~v122(constB35)))),
% 48.47/31.54 inference(rewrite,[status(thm)],[])).
% 48.47/31.54 tff(6093,plain,
% 48.47/31.54 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB35, bitIndex2)) | (~v122(constB35)))),
% 48.47/31.54 inference(quant_inst,[status(thm)],[])).
% 48.47/31.54 tff(6094,plain,
% 48.47/31.54 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB35, bitIndex2)) | (~v122(constB35))),
% 48.47/31.54 inference(modus_ponens,[status(thm)],[6093, 6092])).
% 48.47/31.54 tff(6095,plain,
% 48.47/31.54 (~v122(constB35)),
% 48.47/31.54 inference(unit_resolution,[status(thm)],[6094, 894, 5964])).
% 48.47/31.54 tff(6096,plain,
% 48.47/31.54 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB35)) | (~v90(constB35, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB35)) | (~v90(constB35, bitIndex1)))),
% 48.47/31.54 inference(rewrite,[status(thm)],[])).
% 48.47/31.54 tff(6097,plain,
% 48.47/31.54 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB35)) | (~v90(constB35, bitIndex1)))),
% 48.47/31.54 inference(quant_inst,[status(thm)],[])).
% 48.47/31.54 tff(6098,plain,
% 48.47/31.54 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB35)) | (~v90(constB35, bitIndex1))),
% 48.47/31.54 inference(modus_ponens,[status(thm)],[6097, 6096])).
% 48.47/31.54 tff(6099,plain,
% 48.47/31.54 (~v119(constB35)),
% 48.47/31.54 inference(unit_resolution,[status(thm)],[6098, 2293, 5995])).
% 48.47/31.54 tff(6100,plain,
% 48.47/31.54 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB35, bitIndex1)) | (~v124(constB35)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB35, bitIndex1)) | (~v124(constB35)))),
% 48.47/31.54 inference(rewrite,[status(thm)],[])).
% 48.47/31.54 tff(6101,plain,
% 48.47/31.54 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB35, bitIndex1)) | (~v124(constB35)))),
% 48.47/31.54 inference(quant_inst,[status(thm)],[])).
% 48.47/31.54 tff(6102,plain,
% 48.47/31.54 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB35, bitIndex1)) | (~v124(constB35))),
% 48.47/31.54 inference(modus_ponens,[status(thm)],[6101, 6100])).
% 48.47/31.54 tff(6103,plain,
% 48.47/31.54 (~v124(constB35)),
% 48.47/31.54 inference(unit_resolution,[status(thm)],[6102, 763, 5995])).
% 48.47/31.54 tff(6104,plain,
% 48.47/31.54 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB35, bitIndex1)) | (~v123(constB35)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB35, bitIndex1)) | (~v123(constB35)))),
% 48.47/31.54 inference(rewrite,[status(thm)],[])).
% 48.47/31.54 tff(6105,plain,
% 48.47/31.54 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB35, bitIndex1)) | (~v123(constB35)))),
% 48.47/31.54 inference(quant_inst,[status(thm)],[])).
% 48.47/31.54 tff(6106,plain,
% 48.47/31.54 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB35, bitIndex1)) | (~v123(constB35))),
% 48.47/31.54 inference(modus_ponens,[status(thm)],[6105, 6104])).
% 48.47/31.54 tff(6107,plain,
% 48.47/31.54 (~v123(constB35)),
% 48.47/31.54 inference(unit_resolution,[status(thm)],[6106, 774, 5995])).
% 48.47/31.54 tff(6108,plain,
% 48.47/31.54 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB35, bitIndex1)) | (~v120(constB35)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB35, bitIndex1)) | (~v120(constB35)))),
% 48.47/31.54 inference(rewrite,[status(thm)],[])).
% 48.47/31.54 tff(6109,plain,
% 48.47/31.54 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB35, bitIndex1)) | (~v120(constB35)))),
% 48.47/31.54 inference(quant_inst,[status(thm)],[])).
% 48.47/31.54 tff(6110,plain,
% 48.47/31.54 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB35, bitIndex1)) | (~v120(constB35))),
% 48.47/31.54 inference(modus_ponens,[status(thm)],[6109, 6108])).
% 48.47/31.54 tff(6111,plain,
% 48.47/31.54 (~v120(constB35)),
% 48.47/31.54 inference(unit_resolution,[status(thm)],[6110, 2312, 5995])).
% 48.47/31.54 tff(6112,plain,
% 48.47/31.54 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35) | (~v130(constB35, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35) | (~v130(constB35, bitIndex2)))),
% 48.47/31.54 inference(rewrite,[status(thm)],[])).
% 48.47/31.54 tff(6113,plain,
% 48.47/31.54 ((v120(constB35) | v119(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | (~v130(constB35, bitIndex2))) <=> (v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35) | (~v130(constB35, bitIndex2)))),
% 48.47/31.54 inference(rewrite,[status(thm)],[])).
% 48.47/31.54 tff(6114,plain,
% 48.47/31.54 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB35) | v119(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | (~v130(constB35, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35) | (~v130(constB35, bitIndex2))))),
% 48.47/31.54 inference(monotonicity,[status(thm)],[6113])).
% 48.47/31.54 tff(6115,plain,
% 48.47/31.54 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB35) | v119(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | (~v130(constB35, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35) | (~v130(constB35, bitIndex2)))),
% 48.47/31.54 inference(transitivity,[status(thm)],[6114, 6112])).
% 48.47/31.54 tff(6116,plain,
% 48.47/31.54 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB35) | v119(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | (~v130(constB35, bitIndex2)))),
% 48.47/31.54 inference(quant_inst,[status(thm)],[])).
% 48.47/31.54 tff(6117,plain,
% 48.47/31.54 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35) | (~v130(constB35, bitIndex2))),
% 48.47/31.54 inference(modus_ponens,[status(thm)],[6116, 6115])).
% 48.47/31.54 tff(6118,plain,
% 48.47/31.54 (~v130(constB35, bitIndex2)),
% 48.47/31.54 inference(unit_resolution,[status(thm)],[6117, 1192, 6111, 6107, 6103, 6099, 6095, 6091])).
% 48.47/31.54 tff(6119,plain,
% 48.47/31.54 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB35, bitIndex2)) | v26(constB35) | v130(constB35, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB35, bitIndex2)) | v26(constB35) | v130(constB35, bitIndex2))),
% 48.47/31.54 inference(rewrite,[status(thm)],[])).
% 48.47/31.54 tff(6120,plain,
% 48.47/31.54 ((v26(constB35) | v130(constB35, bitIndex2) | (~v127(constB35, bitIndex2))) <=> ((~v127(constB35, bitIndex2)) | v26(constB35) | v130(constB35, bitIndex2))),
% 48.47/31.54 inference(rewrite,[status(thm)],[])).
% 48.47/31.54 tff(6121,plain,
% 48.47/31.54 (((~![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)))) | ((~v127(constB35, bitIndex2)) | v26(constB35) | v130(constB35, bitIndex2)))),
% 48.47/31.54 inference(monotonicity,[status(thm)],[6120])).
% 48.47/31.54 tff(6122,plain,
% 48.47/31.54 (((~![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)))) | (~v127(constB35, bitIndex2)) | v26(constB35) | v130(constB35, bitIndex2))),
% 48.47/31.54 inference(transitivity,[status(thm)],[6121, 6119])).
% 48.47/31.54 tff(6123,plain,
% 48.47/31.54 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB35) | v130(constB35, bitIndex2) | (~v127(constB35, bitIndex2)))),
% 48.47/31.54 inference(quant_inst,[status(thm)],[])).
% 48.47/31.54 tff(6124,plain,
% 48.47/31.54 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB35, bitIndex2)) | v26(constB35) | v130(constB35, bitIndex2)),
% 48.47/31.54 inference(modus_ponens,[status(thm)],[6123, 6122])).
% 48.47/31.54 tff(6125,plain,
% 48.47/31.54 ((~v127(constB35, bitIndex2)) | v130(constB35, bitIndex2)),
% 48.47/31.54 inference(unit_resolution,[status(thm)],[6124, 1210, 6041])).
% 48.47/31.54 tff(6126,plain,
% 48.47/31.54 (~v127(constB35, bitIndex2)),
% 48.47/31.54 inference(unit_resolution,[status(thm)],[6125, 6118])).
% 48.47/31.54 tff(6127,plain,
% 48.47/31.54 (((~![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)))),
% 48.47/31.54 inference(rewrite,[status(thm)],[])).
% 48.47/31.54 tff(6128,plain,
% 48.47/31.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB35, constB36)) | v127(constB35, bitIndex2) | (~v129(constB36, bitIndex2)))),
% 48.47/31.54 inference(quant_inst,[status(thm)],[])).
% 48.47/31.54 tff(6129,plain,
% 48.47/31.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB35, constB36)) | v127(constB35, bitIndex2) | (~v129(constB36, bitIndex2))),
% 48.47/31.54 inference(modus_ponens,[status(thm)],[6128, 6127])).
% 48.47/31.54 tff(6130,plain,
% 48.47/31.54 (v127(constB35, bitIndex2) | (~v129(constB36, bitIndex2))),
% 48.47/31.54 inference(unit_resolution,[status(thm)],[6129, 1243, 6053])).
% 48.47/31.54 tff(6131,plain,
% 48.47/31.54 (~v129(constB36, bitIndex2)),
% 48.47/31.54 inference(unit_resolution,[status(thm)],[6130, 6126])).
% 48.47/31.54 tff(6132,plain,
% 48.47/31.54 (((~![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)))),
% 48.47/31.54 inference(rewrite,[status(thm)],[])).
% 48.47/31.54 tff(6133,plain,
% 48.47/31.54 (((~v90(constB36, bitIndex2)) | (~v100(constB36)) | v129(constB36, bitIndex2)) <=> ((~v90(constB36, bitIndex2)) | v129(constB36, bitIndex2) | (~v100(constB36)))),
% 48.47/31.54 inference(rewrite,[status(thm)],[])).
% 48.47/31.54 tff(6134,plain,
% 48.47/31.54 (((~![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))))),
% 48.47/31.54 inference(monotonicity,[status(thm)],[6133])).
% 48.47/31.54 tff(6135,plain,
% 48.47/31.54 (((~![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)))),
% 48.47/31.54 inference(transitivity,[status(thm)],[6134, 6132])).
% 48.47/31.54 tff(6136,plain,
% 48.47/31.54 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB36, bitIndex2)) | (~v100(constB36)) | v129(constB36, bitIndex2))),
% 48.47/31.54 inference(quant_inst,[status(thm)],[])).
% 48.47/31.54 tff(6137,plain,
% 48.47/31.54 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB36, bitIndex2)) | v129(constB36, bitIndex2) | (~v100(constB36))),
% 48.47/31.54 inference(modus_ponens,[status(thm)],[6136, 6135])).
% 48.47/31.54 tff(6138,plain,
% 48.47/31.54 ((~v90(constB36, bitIndex2)) | (~v100(constB36))),
% 48.47/31.54 inference(unit_resolution,[status(thm)],[6137, 1258, 6131])).
% 48.47/31.54 tff(6139,plain,
% 48.47/31.54 (~v90(constB36, bitIndex2)),
% 48.47/31.54 inference(unit_resolution,[status(thm)],[6138, 6087])).
% 48.47/31.54 tff(6140,plain,
% 48.47/31.54 ((~v1(constB37)) <=> (~v1(constB37))),
% 48.47/31.54 inference(rewrite,[status(thm)],[])).
% 48.47/31.54 tff(6141,axiom,(~v1(constB37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_37_1_1')).
% 48.47/31.54 tff(6142,plain,
% 48.47/31.54 (~v1(constB37)),
% 48.47/31.54 inference(modus_ponens,[status(thm)],[6141, 6140])).
% 48.47/31.54 tff(6143,plain,
% 48.47/31.54 (nextState(constB36, constB37) <=> nextState(constB36, constB37)),
% 48.47/31.54 inference(rewrite,[status(thm)],[])).
% 48.47/31.54 tff(6144,axiom,(nextState(constB36, constB37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_36_1')).
% 48.47/31.54 tff(6145,plain,
% 48.47/31.54 (nextState(constB36, constB37)),
% 48.47/31.54 inference(modus_ponens,[status(thm)],[6144, 6143])).
% 48.47/31.54 tff(6146,plain,
% 48.47/31.54 (((~![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)))),
% 48.47/31.55 inference(rewrite,[status(thm)],[])).
% 48.47/31.55 tff(6147,plain,
% 48.47/31.55 (((~nextState(constB36, constB37)) | (~v101(constB37)) | v1(constB37)) <=> (v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37)))),
% 48.47/31.55 inference(rewrite,[status(thm)],[])).
% 48.47/31.55 tff(6148,plain,
% 48.47/31.55 (((~![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))))),
% 48.47/31.55 inference(monotonicity,[status(thm)],[6147])).
% 48.47/31.55 tff(6149,plain,
% 48.47/31.55 (((~![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)))),
% 48.47/31.55 inference(transitivity,[status(thm)],[6148, 6146])).
% 48.47/31.55 tff(6150,plain,
% 48.47/31.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB36, constB37)) | (~v101(constB37)) | v1(constB37))),
% 48.47/31.55 inference(quant_inst,[status(thm)],[])).
% 48.47/31.55 tff(6151,plain,
% 48.47/31.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37))),
% 48.47/31.55 inference(modus_ponens,[status(thm)],[6150, 6149])).
% 48.47/31.55 tff(6152,plain,
% 48.47/31.55 (~v101(constB37)),
% 48.47/31.55 inference(unit_resolution,[status(thm)],[6151, 49, 6145, 6142])).
% 48.47/31.55 tff(6153,plain,
% 48.47/31.55 (((~![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)))),
% 48.47/31.55 inference(rewrite,[status(thm)],[])).
% 48.47/31.55 tff(6154,plain,
% 48.47/31.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB36, constB37)) | v101(constB37) | (~v100(constB37)))),
% 48.47/31.55 inference(quant_inst,[status(thm)],[])).
% 48.47/31.55 tff(6155,plain,
% 48.47/31.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB36, constB37)) | v101(constB37) | (~v100(constB37))),
% 48.47/31.55 inference(modus_ponens,[status(thm)],[6154, 6153])).
% 48.47/31.55 tff(6156,plain,
% 48.47/31.55 (v101(constB37) | (~v100(constB37))),
% 48.47/31.55 inference(unit_resolution,[status(thm)],[6155, 66, 6145])).
% 48.47/31.55 tff(6157,plain,
% 48.47/31.55 (~v100(constB37)),
% 48.47/31.55 inference(unit_resolution,[status(thm)],[6156, 6152])).
% 48.47/31.55 tff(6158,plain,
% 48.47/31.55 (((~![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)))),
% 48.47/31.55 inference(rewrite,[status(thm)],[])).
% 48.47/31.55 tff(6159,plain,
% 48.47/31.55 (((~nextState(constB36, constB37)) | v90(constB36, bitIndex2) | v100(constB37) | (~v90(constB37, bitIndex2))) <=> (v90(constB36, bitIndex2) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex2)))),
% 48.47/31.55 inference(rewrite,[status(thm)],[])).
% 48.47/31.55 tff(6160,plain,
% 48.47/31.55 (((~![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))))),
% 48.47/31.55 inference(monotonicity,[status(thm)],[6159])).
% 48.47/31.55 tff(6161,plain,
% 48.47/31.55 (((~![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)))),
% 48.47/31.55 inference(transitivity,[status(thm)],[6160, 6158])).
% 48.47/31.55 tff(6162,plain,
% 48.47/31.55 ((~![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)))),
% 48.47/31.55 inference(quant_inst,[status(thm)],[])).
% 48.47/31.55 tff(6163,plain,
% 48.47/31.55 ((~![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))),
% 48.47/31.55 inference(modus_ponens,[status(thm)],[6162, 6161])).
% 48.47/31.55 tff(6164,plain,
% 48.47/31.55 (v90(constB36, bitIndex2) | v100(constB37) | (~v90(constB37, bitIndex2))),
% 48.47/31.55 inference(unit_resolution,[status(thm)],[6163, 81, 6145])).
% 48.47/31.55 tff(6165,plain,
% 48.47/31.55 (v90(constB36, bitIndex2) | (~v90(constB37, bitIndex2))),
% 48.47/31.55 inference(unit_resolution,[status(thm)],[6164, 6157])).
% 48.47/31.55 tff(6166,plain,
% 48.47/31.55 (~v90(constB37, bitIndex2)),
% 48.47/31.55 inference(unit_resolution,[status(thm)],[6165, 6139])).
% 48.47/31.55 tff(6167,plain,
% 48.47/31.55 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35) | (~v130(constB35, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35) | (~v130(constB35, bitIndex1)))),
% 48.47/31.55 inference(rewrite,[status(thm)],[])).
% 48.47/31.55 tff(6168,plain,
% 48.47/31.55 ((v120(constB35) | v119(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | (~v130(constB35, bitIndex1))) <=> (v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35) | (~v130(constB35, bitIndex1)))),
% 48.47/31.55 inference(rewrite,[status(thm)],[])).
% 48.47/31.55 tff(6169,plain,
% 48.47/31.55 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB35) | v119(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | (~v130(constB35, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35) | (~v130(constB35, bitIndex1))))),
% 48.47/31.55 inference(monotonicity,[status(thm)],[6168])).
% 48.47/31.55 tff(6170,plain,
% 48.47/31.55 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB35) | v119(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | (~v130(constB35, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35) | (~v130(constB35, bitIndex1)))),
% 48.47/31.55 inference(transitivity,[status(thm)],[6169, 6167])).
% 48.47/31.55 tff(6171,plain,
% 48.47/31.55 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB35) | v119(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | (~v130(constB35, bitIndex1)))),
% 48.47/31.55 inference(quant_inst,[status(thm)],[])).
% 48.47/31.55 tff(6172,plain,
% 48.47/31.55 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35) | (~v130(constB35, bitIndex1))),
% 48.47/31.55 inference(modus_ponens,[status(thm)],[6171, 6170])).
% 48.47/31.55 tff(6173,plain,
% 48.47/31.55 (~v130(constB35, bitIndex1)),
% 48.47/31.55 inference(unit_resolution,[status(thm)],[6172, 1143, 6111, 6107, 6103, 6099, 6095, 6091])).
% 48.47/31.55 tff(6174,plain,
% 48.47/31.55 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB35, bitIndex1)) | v26(constB35) | v130(constB35, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB35, bitIndex1)) | v26(constB35) | v130(constB35, bitIndex1))),
% 48.47/31.55 inference(rewrite,[status(thm)],[])).
% 48.47/31.55 tff(6175,plain,
% 48.47/31.55 ((v26(constB35) | v130(constB35, bitIndex1) | (~v127(constB35, bitIndex1))) <=> ((~v127(constB35, bitIndex1)) | v26(constB35) | v130(constB35, bitIndex1))),
% 48.47/31.55 inference(rewrite,[status(thm)],[])).
% 48.47/31.55 tff(6176,plain,
% 48.47/31.55 (((~![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)))) | ((~v127(constB35, bitIndex1)) | v26(constB35) | v130(constB35, bitIndex1)))),
% 48.47/31.55 inference(monotonicity,[status(thm)],[6175])).
% 48.47/31.55 tff(6177,plain,
% 48.47/31.55 (((~![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)))) | (~v127(constB35, bitIndex1)) | v26(constB35) | v130(constB35, bitIndex1))),
% 48.47/31.55 inference(transitivity,[status(thm)],[6176, 6174])).
% 48.47/31.55 tff(6178,plain,
% 48.47/31.55 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB35) | v130(constB35, bitIndex1) | (~v127(constB35, bitIndex1)))),
% 48.47/31.55 inference(quant_inst,[status(thm)],[])).
% 48.47/31.55 tff(6179,plain,
% 48.47/31.55 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB35, bitIndex1)) | v26(constB35) | v130(constB35, bitIndex1)),
% 48.47/31.55 inference(modus_ponens,[status(thm)],[6178, 6177])).
% 48.47/31.55 tff(6180,plain,
% 48.47/31.55 ((~v127(constB35, bitIndex1)) | v130(constB35, bitIndex1)),
% 48.47/31.55 inference(unit_resolution,[status(thm)],[6179, 450, 6041])).
% 48.47/31.55 tff(6181,plain,
% 48.47/31.55 (~v127(constB35, bitIndex1)),
% 48.47/31.55 inference(unit_resolution,[status(thm)],[6180, 6173])).
% 48.47/31.55 tff(6182,plain,
% 48.47/31.55 (((~![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)))),
% 48.47/31.55 inference(rewrite,[status(thm)],[])).
% 48.47/31.55 tff(6183,plain,
% 48.47/31.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB35, constB36)) | v127(constB35, bitIndex1) | (~v129(constB36, bitIndex1)))),
% 48.47/31.55 inference(quant_inst,[status(thm)],[])).
% 48.47/31.55 tff(6184,plain,
% 48.47/31.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB35, constB36)) | v127(constB35, bitIndex1) | (~v129(constB36, bitIndex1))),
% 48.47/31.55 inference(modus_ponens,[status(thm)],[6183, 6182])).
% 48.47/31.55 tff(6185,plain,
% 48.47/31.55 (v127(constB35, bitIndex1) | (~v129(constB36, bitIndex1))),
% 48.47/31.55 inference(unit_resolution,[status(thm)],[6184, 468, 6053])).
% 48.47/31.55 tff(6186,plain,
% 48.47/31.55 (~v129(constB36, bitIndex1)),
% 48.47/31.55 inference(unit_resolution,[status(thm)],[6185, 6181])).
% 48.47/31.55 tff(6187,plain,
% 48.47/31.55 (((~![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)))),
% 48.47/31.55 inference(rewrite,[status(thm)],[])).
% 48.47/31.55 tff(6188,plain,
% 48.47/31.55 (((~v90(constB36, bitIndex1)) | (~v100(constB36)) | v129(constB36, bitIndex1)) <=> ((~v90(constB36, bitIndex1)) | v129(constB36, bitIndex1) | (~v100(constB36)))),
% 48.47/31.55 inference(rewrite,[status(thm)],[])).
% 48.47/31.55 tff(6189,plain,
% 48.47/31.55 (((~![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))))),
% 48.47/31.55 inference(monotonicity,[status(thm)],[6188])).
% 48.47/31.55 tff(6190,plain,
% 48.47/31.55 (((~![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)))),
% 48.47/31.55 inference(transitivity,[status(thm)],[6189, 6187])).
% 48.47/31.55 tff(6191,plain,
% 48.47/31.55 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB36, bitIndex1)) | (~v100(constB36)) | v129(constB36, bitIndex1))),
% 48.47/31.55 inference(quant_inst,[status(thm)],[])).
% 48.47/31.55 tff(6192,plain,
% 48.47/31.55 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB36, bitIndex1)) | v129(constB36, bitIndex1) | (~v100(constB36))),
% 48.47/31.55 inference(modus_ponens,[status(thm)],[6191, 6190])).
% 48.47/31.55 tff(6193,plain,
% 48.47/31.55 ((~v90(constB36, bitIndex1)) | (~v100(constB36))),
% 48.47/31.55 inference(unit_resolution,[status(thm)],[6192, 483, 6186])).
% 48.47/31.55 tff(6194,plain,
% 48.47/31.55 (~v90(constB36, bitIndex1)),
% 48.47/31.55 inference(unit_resolution,[status(thm)],[6193, 6087])).
% 48.47/31.55 tff(6195,plain,
% 48.47/31.55 (((~![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)))),
% 48.47/31.55 inference(rewrite,[status(thm)],[])).
% 48.47/31.55 tff(6196,plain,
% 48.47/31.55 (((~nextState(constB36, constB37)) | v90(constB36, bitIndex1) | v100(constB37) | (~v90(constB37, bitIndex1))) <=> (v90(constB36, bitIndex1) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, bitIndex1)))),
% 48.47/31.55 inference(rewrite,[status(thm)],[])).
% 48.47/31.55 tff(6197,plain,
% 48.47/31.55 (((~![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))))),
% 48.47/31.55 inference(monotonicity,[status(thm)],[6196])).
% 48.47/31.55 tff(6198,plain,
% 48.47/31.55 (((~![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)))),
% 48.47/31.55 inference(transitivity,[status(thm)],[6197, 6195])).
% 48.47/31.55 tff(6199,plain,
% 48.47/31.55 ((~![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)))),
% 48.47/31.55 inference(quant_inst,[status(thm)],[])).
% 48.47/31.55 tff(6200,plain,
% 48.47/31.55 ((~![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))),
% 48.47/31.55 inference(modus_ponens,[status(thm)],[6199, 6198])).
% 48.47/31.55 tff(6201,plain,
% 48.47/31.55 (v90(constB36, bitIndex1) | v100(constB37) | (~v90(constB37, bitIndex1))),
% 48.47/31.55 inference(unit_resolution,[status(thm)],[6200, 102, 6145])).
% 48.47/31.55 tff(6202,plain,
% 48.47/31.55 (v90(constB36, bitIndex1) | (~v90(constB37, bitIndex1))),
% 48.47/31.55 inference(unit_resolution,[status(thm)],[6201, 6157])).
% 48.47/31.55 tff(6203,plain,
% 48.47/31.55 (~v90(constB37, bitIndex1)),
% 48.47/31.55 inference(unit_resolution,[status(thm)],[6202, 6194])).
% 48.47/31.55 tff(6204,plain,
% 48.47/31.55 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35) | v130(constB35, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35) | v130(constB35, bitIndex0))),
% 48.47/31.55 inference(rewrite,[status(thm)],[])).
% 48.47/31.55 tff(6205,plain,
% 48.47/31.55 ((v120(constB35) | v119(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | v130(constB35, bitIndex0)) <=> (v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35) | v130(constB35, bitIndex0))),
% 48.47/31.55 inference(rewrite,[status(thm)],[])).
% 48.47/31.55 tff(6206,plain,
% 48.47/31.55 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB35) | v119(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | v130(constB35, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35) | v130(constB35, bitIndex0)))),
% 48.47/31.55 inference(monotonicity,[status(thm)],[6205])).
% 48.47/31.55 tff(6207,plain,
% 48.47/31.55 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB35) | v119(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | v130(constB35, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35) | v130(constB35, bitIndex0))),
% 48.47/31.55 inference(transitivity,[status(thm)],[6206, 6204])).
% 48.47/31.55 tff(6208,plain,
% 48.47/31.55 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB35) | v119(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | v130(constB35, bitIndex0))),
% 48.47/31.55 inference(quant_inst,[status(thm)],[])).
% 48.47/31.55 tff(6209,plain,
% 48.47/31.55 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB35) | v123(constB35) | v122(constB35) | v121(constB35) | v120(constB35) | v119(constB35) | v130(constB35, bitIndex0)),
% 48.47/31.55 inference(modus_ponens,[status(thm)],[6208, 6207])).
% 48.47/31.55 tff(6210,plain,
% 48.47/31.55 (v130(constB35, bitIndex0)),
% 48.47/31.55 inference(unit_resolution,[status(thm)],[6209, 908, 6111, 6107, 6103, 6099, 6095, 6091])).
% 48.47/31.55 tff(6211,plain,
% 48.47/31.55 (((~![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))) | v26(constB35) | (~v130(constB35, bitIndex0)) | v127(constB35, bitIndex0))),
% 48.47/31.55 inference(rewrite,[status(thm)],[])).
% 48.47/31.55 tff(6212,plain,
% 48.47/31.55 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB35) | (~v130(constB35, bitIndex0)) | v127(constB35, bitIndex0))),
% 48.47/31.55 inference(quant_inst,[status(thm)],[])).
% 48.47/31.55 tff(6213,plain,
% 48.47/31.55 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB35) | (~v130(constB35, bitIndex0)) | v127(constB35, bitIndex0)),
% 48.47/31.55 inference(modus_ponens,[status(thm)],[6212, 6211])).
% 48.47/31.55 tff(6214,plain,
% 48.47/31.55 ((~v130(constB35, bitIndex0)) | v127(constB35, bitIndex0)),
% 48.47/31.55 inference(unit_resolution,[status(thm)],[6213, 926, 6041])).
% 48.47/31.55 tff(6215,plain,
% 48.47/31.55 (v127(constB35, bitIndex0)),
% 48.47/31.55 inference(unit_resolution,[status(thm)],[6214, 6210])).
% 48.47/31.55 tff(6216,plain,
% 48.47/31.55 (((~![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))),
% 48.47/31.55 inference(rewrite,[status(thm)],[])).
% 48.47/31.55 tff(6217,plain,
% 48.47/31.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB35, constB36)) | (~v127(constB35, bitIndex0)) | v129(constB36, bitIndex0))),
% 48.47/31.55 inference(quant_inst,[status(thm)],[])).
% 48.47/31.55 tff(6218,plain,
% 48.47/31.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB35, constB36)) | (~v127(constB35, bitIndex0)) | v129(constB36, bitIndex0)),
% 48.47/31.55 inference(modus_ponens,[status(thm)],[6217, 6216])).
% 48.47/31.55 tff(6219,plain,
% 48.47/31.55 ((~v127(constB35, bitIndex0)) | v129(constB36, bitIndex0)),
% 48.47/31.55 inference(unit_resolution,[status(thm)],[6218, 944, 6053])).
% 48.47/31.55 tff(6220,plain,
% 48.47/31.55 (v129(constB36, bitIndex0)),
% 48.47/31.55 inference(unit_resolution,[status(thm)],[6219, 6215])).
% 48.47/31.55 tff(6221,plain,
% 48.47/31.55 (((~![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)))),
% 48.47/31.55 inference(rewrite,[status(thm)],[])).
% 48.47/31.55 tff(6222,plain,
% 48.47/31.55 ((v90(constB36, bitIndex0) | (~v100(constB36)) | (~v129(constB36, bitIndex0))) <=> (v90(constB36, bitIndex0) | (~v129(constB36, bitIndex0)) | (~v100(constB36)))),
% 48.47/31.55 inference(rewrite,[status(thm)],[])).
% 48.47/31.55 tff(6223,plain,
% 48.47/31.55 (((~![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))))),
% 48.47/31.55 inference(monotonicity,[status(thm)],[6222])).
% 48.47/31.55 tff(6224,plain,
% 48.47/31.55 (((~![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)))),
% 48.47/31.55 inference(transitivity,[status(thm)],[6223, 6221])).
% 48.47/31.55 tff(6225,plain,
% 48.47/31.55 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB36, bitIndex0) | (~v100(constB36)) | (~v129(constB36, bitIndex0)))),
% 48.47/31.55 inference(quant_inst,[status(thm)],[])).
% 48.47/31.55 tff(6226,plain,
% 48.47/31.55 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB36, bitIndex0) | (~v129(constB36, bitIndex0)) | (~v100(constB36))),
% 48.47/31.55 inference(modus_ponens,[status(thm)],[6225, 6224])).
% 48.47/31.55 tff(6227,plain,
% 48.47/31.55 (v90(constB36, bitIndex0) | (~v100(constB36))),
% 48.47/31.55 inference(unit_resolution,[status(thm)],[6226, 1088, 6220])).
% 48.47/31.55 tff(6228,plain,
% 48.47/31.55 (v90(constB36, bitIndex0)),
% 48.47/31.55 inference(unit_resolution,[status(thm)],[6227, 6087])).
% 48.47/31.55 tff(6229,plain,
% 48.47/31.55 (((~![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))),
% 48.47/31.55 inference(rewrite,[status(thm)],[])).
% 48.47/31.55 tff(6230,plain,
% 48.47/31.55 (((~nextState(constB36, constB37)) | (~v90(constB36, bitIndex0)) | v100(constB37) | v90(constB37, bitIndex0)) <=> ((~v90(constB36, bitIndex0)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, bitIndex0))),
% 48.47/31.55 inference(rewrite,[status(thm)],[])).
% 48.47/31.55 tff(6231,plain,
% 48.47/31.55 (((~![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)))),
% 48.47/31.55 inference(monotonicity,[status(thm)],[6230])).
% 48.47/31.55 tff(6232,plain,
% 48.47/31.55 (((~![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))),
% 48.47/31.55 inference(transitivity,[status(thm)],[6231, 6229])).
% 48.47/31.55 tff(6233,plain,
% 48.47/31.55 ((~![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))),
% 48.47/31.55 inference(quant_inst,[status(thm)],[])).
% 48.47/31.55 tff(6234,plain,
% 48.47/31.55 ((~![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)),
% 48.47/31.55 inference(modus_ponens,[status(thm)],[6233, 6232])).
% 48.47/31.55 tff(6235,plain,
% 48.47/31.55 ((~v90(constB36, bitIndex0)) | v100(constB37) | v90(constB37, bitIndex0)),
% 48.47/31.55 inference(unit_resolution,[status(thm)],[6234, 1124, 6145])).
% 48.47/31.56 tff(6236,plain,
% 48.47/31.56 ((~v90(constB36, bitIndex0)) | v90(constB37, bitIndex0)),
% 48.47/31.56 inference(unit_resolution,[status(thm)],[6235, 6157])).
% 48.47/31.56 tff(6237,plain,
% 48.47/31.56 (v90(constB37, bitIndex0)),
% 48.47/31.56 inference(unit_resolution,[status(thm)],[6236, 6228])).
% 48.47/31.56 tff(6238,plain,
% 48.47/31.56 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB37, bitIndex0)) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2) | v120(constB37))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB37, bitIndex0)) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2) | v120(constB37))),
% 48.47/31.56 inference(rewrite,[status(thm)],[])).
% 48.47/31.56 tff(6239,plain,
% 48.47/31.56 (((~v90(constB37, bitIndex0)) | v120(constB37) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2)) <=> ((~v90(constB37, bitIndex0)) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2) | v120(constB37))),
% 48.47/31.56 inference(rewrite,[status(thm)],[])).
% 48.47/31.56 tff(6240,plain,
% 48.47/31.56 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB37, bitIndex0)) | v120(constB37) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB37, bitIndex0)) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2) | v120(constB37)))),
% 48.47/31.56 inference(monotonicity,[status(thm)],[6239])).
% 48.47/31.56 tff(6241,plain,
% 48.47/31.56 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB37, bitIndex0)) | v120(constB37) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB37, bitIndex0)) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2) | v120(constB37))),
% 48.47/31.56 inference(transitivity,[status(thm)],[6240, 6238])).
% 48.47/31.56 tff(6242,plain,
% 48.47/31.56 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB37, bitIndex0)) | v120(constB37) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2))),
% 48.47/31.56 inference(quant_inst,[status(thm)],[])).
% 48.47/31.56 tff(6243,plain,
% 48.47/31.56 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB37, bitIndex0)) | v90(constB37, bitIndex1) | v90(constB37, bitIndex2) | v120(constB37)),
% 48.47/31.56 inference(modus_ponens,[status(thm)],[6242, 6241])).
% 48.47/31.56 tff(6244,plain,
% 48.47/31.56 (v120(constB37)),
% 48.47/31.56 inference(unit_resolution,[status(thm)],[6243, 1285, 6237, 6203, 6166])).
% 48.47/31.56 tff(6245,plain,
% 48.47/31.56 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB37) | (~v120(constB37)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB37) | (~v120(constB37)))),
% 48.47/31.56 inference(rewrite,[status(thm)],[])).
% 48.47/31.56 tff(6246,plain,
% 48.47/31.56 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB37) | (~v120(constB37)))),
% 48.47/31.56 inference(quant_inst,[status(thm)],[])).
% 48.47/31.56 tff(6247,plain,
% 48.47/31.56 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB37) | (~v120(constB37))),
% 48.47/31.56 inference(modus_ponens,[status(thm)],[6246, 6245])).
% 48.47/31.56 tff(6248,plain,
% 48.47/31.56 (v118(constB37)),
% 48.47/31.56 inference(unit_resolution,[status(thm)],[6247, 1302, 6244])).
% 48.47/31.56 tff(6249,plain,
% 48.47/31.56 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB37) | (~v118(constB37)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB37) | (~v118(constB37)))),
% 48.47/31.56 inference(rewrite,[status(thm)],[])).
% 48.47/31.56 tff(6250,plain,
% 48.47/31.56 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB37) | (~v118(constB37)))),
% 48.47/31.56 inference(quant_inst,[status(thm)],[])).
% 48.47/31.56 tff(6251,plain,
% 48.47/31.56 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB37) | (~v118(constB37))),
% 48.47/31.56 inference(modus_ponens,[status(thm)],[6250, 6249])).
% 48.47/31.56 tff(6252,plain,
% 48.47/31.56 (v117(constB37)),
% 48.47/31.56 inference(unit_resolution,[status(thm)],[6251, 166, 6248])).
% 48.47/31.56 tff(6253,plain,
% 48.47/31.56 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB37) | (~v117(constB37)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB37) | (~v117(constB37)))),
% 48.47/31.56 inference(rewrite,[status(thm)],[])).
% 48.47/31.56 tff(6254,plain,
% 48.47/31.56 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB37) | (~v117(constB37)))),
% 48.47/31.56 inference(quant_inst,[status(thm)],[])).
% 48.47/31.56 tff(6255,plain,
% 48.47/31.56 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB37) | (~v117(constB37))),
% 48.47/31.56 inference(modus_ponens,[status(thm)],[6254, 6253])).
% 48.47/31.56 tff(6256,plain,
% 48.47/31.56 (v116(constB37)),
% 48.47/31.56 inference(unit_resolution,[status(thm)],[6255, 177, 6252])).
% 48.47/31.56 tff(6257,plain,
% 48.47/31.56 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB37) | (~v116(constB37)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB37) | (~v116(constB37)))),
% 48.47/31.56 inference(rewrite,[status(thm)],[])).
% 48.47/31.56 tff(6258,plain,
% 48.47/31.56 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB37) | (~v116(constB37)))),
% 48.47/31.56 inference(quant_inst,[status(thm)],[])).
% 48.47/31.56 tff(6259,plain,
% 48.47/31.56 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB37) | (~v116(constB37))),
% 48.47/31.56 inference(modus_ponens,[status(thm)],[6258, 6257])).
% 48.47/31.56 tff(6260,plain,
% 48.47/31.56 (v115(constB37)),
% 48.47/31.56 inference(unit_resolution,[status(thm)],[6259, 188, 6256])).
% 48.47/31.56 tff(6261,plain,
% 48.47/31.56 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB37) | (~v115(constB37)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB37) | (~v115(constB37)))),
% 48.47/31.56 inference(rewrite,[status(thm)],[])).
% 48.47/31.56 tff(6262,plain,
% 48.47/31.56 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB37) | (~v115(constB37)))),
% 48.47/31.56 inference(quant_inst,[status(thm)],[])).
% 48.47/31.56 tff(6263,plain,
% 48.47/31.56 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB37) | (~v115(constB37))),
% 48.47/31.56 inference(modus_ponens,[status(thm)],[6262, 6261])).
% 48.47/31.56 tff(6264,plain,
% 48.47/31.56 (v114(constB37)),
% 48.47/31.56 inference(unit_resolution,[status(thm)],[6263, 199, 6260])).
% 48.47/31.56 tff(6265,plain,
% 48.47/31.56 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB37) | (~v114(constB37)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB37) | (~v114(constB37)))),
% 48.47/31.56 inference(rewrite,[status(thm)],[])).
% 48.47/31.56 tff(6266,plain,
% 48.47/31.56 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB37) | (~v114(constB37)))),
% 48.47/31.56 inference(quant_inst,[status(thm)],[])).
% 48.47/31.56 tff(6267,plain,
% 48.47/31.56 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB37) | (~v114(constB37))),
% 48.47/31.56 inference(modus_ponens,[status(thm)],[6266, 6265])).
% 48.47/31.56 tff(6268,plain,
% 48.47/31.56 (v113(constB37)),
% 48.47/31.56 inference(unit_resolution,[status(thm)],[6267, 210, 6264])).
% 48.47/31.56 tff(6269,assumption,(v26(constB37)), introduced(assumption)).
% 48.47/31.56 tff(6270,plain,
% 48.47/31.56 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB37))),
% 48.47/31.56 inference(quant_inst,[status(thm)],[])).
% 48.47/31.56 tff(6271,plain,
% 48.47/31.56 ($false),
% 48.47/31.56 inference(unit_resolution,[status(thm)],[6270, 16, 6269])).
% 48.47/31.56 tff(6272,plain,(~v26(constB37)), inference(lemma,lemma(discharge,[]))).
% 48.47/31.56 tff(6273,plain,
% 48.47/31.56 (((~![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))),
% 48.47/31.56 inference(rewrite,[status(thm)],[])).
% 48.47/31.56 tff(6274,plain,
% 48.47/31.56 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB37) | (~v113(constB37)) | v112(constB37))),
% 48.47/31.56 inference(quant_inst,[status(thm)],[])).
% 48.47/31.56 tff(6275,plain,
% 48.47/31.56 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB37) | (~v113(constB37)) | v112(constB37)),
% 48.47/31.56 inference(modus_ponens,[status(thm)],[6274, 6273])).
% 48.47/31.56 tff(6276,plain,
% 48.47/31.56 ((~v113(constB37)) | v112(constB37)),
% 48.47/31.56 inference(unit_resolution,[status(thm)],[6275, 224, 6272])).
% 48.47/31.56 tff(6277,plain,
% 48.47/31.56 (v112(constB37)),
% 48.47/31.56 inference(unit_resolution,[status(thm)],[6276, 6268])).
% 48.47/31.56 tff(6278,plain,
% 48.47/31.56 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB37) | (~v112(constB37)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB37) | (~v112(constB37)))),
% 48.47/31.56 inference(rewrite,[status(thm)],[])).
% 48.47/31.56 tff(6279,plain,
% 48.47/31.56 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB37) | (~v112(constB37)))),
% 48.47/31.56 inference(quant_inst,[status(thm)],[])).
% 48.47/31.56 tff(6280,plain,
% 48.47/31.56 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB37) | (~v112(constB37))),
% 48.47/31.56 inference(modus_ponens,[status(thm)],[6279, 6278])).
% 48.47/31.56 tff(6281,plain,
% 48.47/31.56 (v108(constB37)),
% 48.47/31.56 inference(unit_resolution,[status(thm)],[6280, 236, 6277])).
% 48.47/31.56 tff(6282,plain,
% 48.47/31.56 (nextState(constB37, constB38) <=> nextState(constB37, constB38)),
% 48.47/31.56 inference(rewrite,[status(thm)],[])).
% 48.47/31.56 tff(6283,axiom,(nextState(constB37, constB38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_37_1')).
% 48.47/31.56 tff(6284,plain,
% 48.47/31.56 (nextState(constB37, constB38)),
% 48.47/31.56 inference(modus_ponens,[status(thm)],[6283, 6282])).
% 48.47/31.56 tff(6285,plain,
% 48.47/31.56 (((~![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)))),
% 48.47/31.56 inference(rewrite,[status(thm)],[])).
% 48.47/31.56 tff(6286,plain,
% 48.47/31.56 (((~nextState(constB37, constB38)) | (~v108(constB37)) | v110(constB38)) <=> ((~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37)))),
% 48.47/31.56 inference(rewrite,[status(thm)],[])).
% 48.47/31.56 tff(6287,plain,
% 48.47/31.56 (((~![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))))),
% 48.47/31.56 inference(monotonicity,[status(thm)],[6286])).
% 48.47/31.56 tff(6288,plain,
% 48.47/31.56 (((~![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)))),
% 48.47/31.56 inference(transitivity,[status(thm)],[6287, 6285])).
% 48.47/31.56 tff(6289,plain,
% 48.47/31.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB37, constB38)) | (~v108(constB37)) | v110(constB38))),
% 48.47/31.56 inference(quant_inst,[status(thm)],[])).
% 48.47/31.56 tff(6290,plain,
% 48.47/31.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37))),
% 48.47/31.56 inference(modus_ponens,[status(thm)],[6289, 6288])).
% 48.47/31.56 tff(6291,plain,
% 48.47/31.56 (v110(constB38) | (~v108(constB37))),
% 48.47/31.56 inference(unit_resolution,[status(thm)],[6290, 253, 6284])).
% 48.47/31.56 tff(6292,plain,
% 48.47/31.56 (v110(constB38)),
% 48.47/31.56 inference(unit_resolution,[status(thm)],[6291, 6281])).
% 48.47/31.56 tff(6293,plain,
% 48.47/31.56 (((~![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)))),
% 48.47/31.56 inference(rewrite,[status(thm)],[])).
% 48.47/31.56 tff(6294,plain,
% 48.47/31.56 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB37) | (~nextState(constB37, constB38)) | (~v104(constB38)))),
% 48.47/31.56 inference(quant_inst,[status(thm)],[])).
% 48.47/31.56 tff(6295,plain,
% 48.47/31.56 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB37) | (~nextState(constB37, constB38)) | (~v104(constB38))),
% 48.47/31.56 inference(modus_ponens,[status(thm)],[6294, 6293])).
% 48.47/31.56 tff(6296,plain,
% 48.47/31.56 (~v104(constB38)),
% 48.47/31.56 inference(unit_resolution,[status(thm)],[6295, 271, 6284, 6142])).
% 48.47/31.56 tff(6297,plain,
% 48.47/31.56 (((~![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))),
% 48.47/31.56 inference(rewrite,[status(thm)],[])).
% 48.47/31.56 tff(6298,plain,
% 48.47/31.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB37, constB38)) | v102(constB38) | v104(constB38))),
% 48.47/31.56 inference(quant_inst,[status(thm)],[])).
% 48.47/31.56 tff(6299,plain,
% 48.47/31.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB37, constB38)) | v102(constB38) | v104(constB38)),
% 48.47/31.56 inference(modus_ponens,[status(thm)],[6298, 6297])).
% 48.47/31.56 tff(6300,plain,
% 48.47/31.56 (v102(constB38) | v104(constB38)),
% 48.47/31.56 inference(unit_resolution,[status(thm)],[6299, 285, 6284])).
% 48.47/31.56 tff(6301,plain,
% 48.47/31.56 (v102(constB38)),
% 48.47/31.56 inference(unit_resolution,[status(thm)],[6300, 6296])).
% 48.47/31.56 tff(6302,plain,
% 48.47/31.56 (v1(constB38) <=> v1(constB38)),
% 48.47/31.56 inference(rewrite,[status(thm)],[])).
% 48.47/31.56 tff(6303,axiom,(v1(constB38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_38_1')).
% 48.47/31.56 tff(6304,plain,
% 48.47/31.56 (v1(constB38)),
% 48.47/31.56 inference(modus_ponens,[status(thm)],[6303, 6302])).
% 48.47/31.56 tff(6305,plain,
% 48.47/31.56 (((~![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)))),
% 48.47/31.56 inference(rewrite,[status(thm)],[])).
% 48.47/31.56 tff(6306,plain,
% 48.47/31.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB37, constB38)) | v101(constB38) | (~v102(constB38)) | (~v1(constB38)))),
% 48.47/31.56 inference(quant_inst,[status(thm)],[])).
% 48.47/31.56 tff(6307,plain,
% 48.47/31.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB37, constB38)) | v101(constB38) | (~v102(constB38)) | (~v1(constB38))),
% 48.47/31.56 inference(modus_ponens,[status(thm)],[6306, 6305])).
% 48.47/31.56 tff(6308,plain,
% 48.47/31.56 (v101(constB38) | (~v102(constB38))),
% 48.47/31.56 inference(unit_resolution,[status(thm)],[6307, 303, 6284, 6304])).
% 48.47/31.56 tff(6309,plain,
% 48.47/31.56 (v101(constB38)),
% 48.47/31.56 inference(unit_resolution,[status(thm)],[6308, 6301])).
% 48.47/31.56 tff(6310,plain,
% 48.47/31.56 (((~![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)))),
% 48.47/31.56 inference(rewrite,[status(thm)],[])).
% 48.47/31.56 tff(6311,plain,
% 48.47/31.56 (((~nextState(constB37, constB38)) | (~v101(constB38)) | (~v110(constB38)) | v100(constB38)) <=> ((~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38)))),
% 48.47/31.56 inference(rewrite,[status(thm)],[])).
% 48.47/31.56 tff(6312,plain,
% 48.47/31.56 (((~![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))))),
% 48.47/31.56 inference(monotonicity,[status(thm)],[6311])).
% 48.47/31.56 tff(6313,plain,
% 48.47/31.56 (((~![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)))),
% 48.47/31.56 inference(transitivity,[status(thm)],[6312, 6310])).
% 48.47/31.56 tff(6314,plain,
% 48.47/31.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB37, constB38)) | (~v101(constB38)) | (~v110(constB38)) | v100(constB38))),
% 48.47/31.56 inference(quant_inst,[status(thm)],[])).
% 48.47/31.56 tff(6315,plain,
% 48.47/31.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38))),
% 48.47/31.56 inference(modus_ponens,[status(thm)],[6314, 6313])).
% 48.47/31.56 tff(6316,plain,
% 48.47/31.56 (v100(constB38) | (~v101(constB38)) | (~v110(constB38))),
% 48.47/31.56 inference(unit_resolution,[status(thm)],[6315, 318, 6284])).
% 48.47/31.56 tff(6317,plain,
% 48.47/31.56 (v100(constB38) | (~v110(constB38))),
% 48.47/31.56 inference(unit_resolution,[status(thm)],[6316, 6309])).
% 48.47/31.56 tff(6318,plain,
% 48.47/31.56 (v100(constB38)),
% 48.47/31.56 inference(unit_resolution,[status(thm)],[6317, 6292])).
% 48.47/31.56 tff(6319,plain,
% 48.47/31.56 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB37)) | (~v130(constB37, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB37)) | (~v130(constB37, bitIndex2)))),
% 48.47/31.56 inference(rewrite,[status(thm)],[])).
% 48.47/31.56 tff(6320,plain,
% 48.47/31.56 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB37)) | (~v130(constB37, bitIndex2)))),
% 48.47/31.56 inference(quant_inst,[status(thm)],[])).
% 48.47/31.56 tff(6321,plain,
% 48.47/31.56 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB37)) | (~v130(constB37, bitIndex2))),
% 48.47/31.56 inference(modus_ponens,[status(thm)],[6320, 6319])).
% 48.47/31.56 tff(6322,plain,
% 48.47/31.56 (~v130(constB37, bitIndex2)),
% 48.47/31.56 inference(unit_resolution,[status(thm)],[6321, 1383, 6244])).
% 48.47/31.56 tff(6323,plain,
% 48.47/31.56 (((~![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))),
% 48.47/31.56 inference(rewrite,[status(thm)],[])).
% 48.47/31.56 tff(6324,plain,
% 48.47/31.56 ((v26(constB37) | v130(constB37, bitIndex2) | (~v127(constB37, bitIndex2))) <=> ((~v127(constB37, bitIndex2)) | v26(constB37) | v130(constB37, bitIndex2))),
% 48.47/31.56 inference(rewrite,[status(thm)],[])).
% 48.47/31.56 tff(6325,plain,
% 48.47/31.56 (((~![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)))),
% 48.47/31.56 inference(monotonicity,[status(thm)],[6324])).
% 48.47/31.56 tff(6326,plain,
% 48.47/31.56 (((~![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))),
% 48.47/31.56 inference(transitivity,[status(thm)],[6325, 6323])).
% 48.47/31.56 tff(6327,plain,
% 48.47/31.56 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB37) | v130(constB37, bitIndex2) | (~v127(constB37, bitIndex2)))),
% 48.47/31.56 inference(quant_inst,[status(thm)],[])).
% 48.47/31.56 tff(6328,plain,
% 48.47/31.56 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB37, bitIndex2)) | v26(constB37) | v130(constB37, bitIndex2)),
% 48.47/31.56 inference(modus_ponens,[status(thm)],[6327, 6326])).
% 48.47/31.56 tff(6329,plain,
% 48.47/31.56 ((~v127(constB37, bitIndex2)) | v130(constB37, bitIndex2)),
% 48.47/31.56 inference(unit_resolution,[status(thm)],[6328, 1210, 6272])).
% 48.47/31.56 tff(6330,plain,
% 48.47/31.56 (~v127(constB37, bitIndex2)),
% 48.47/31.56 inference(unit_resolution,[status(thm)],[6329, 6322])).
% 48.47/31.56 tff(6331,plain,
% 48.47/31.56 (((~![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)))),
% 48.47/31.56 inference(rewrite,[status(thm)],[])).
% 48.47/31.56 tff(6332,plain,
% 48.47/31.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB37, constB38)) | v127(constB37, bitIndex2) | (~v129(constB38, bitIndex2)))),
% 48.47/31.56 inference(quant_inst,[status(thm)],[])).
% 48.47/31.56 tff(6333,plain,
% 48.47/31.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB37, constB38)) | v127(constB37, bitIndex2) | (~v129(constB38, bitIndex2))),
% 48.47/31.56 inference(modus_ponens,[status(thm)],[6332, 6331])).
% 48.47/31.56 tff(6334,plain,
% 48.47/31.56 (v127(constB37, bitIndex2) | (~v129(constB38, bitIndex2))),
% 48.47/31.56 inference(unit_resolution,[status(thm)],[6333, 1243, 6284])).
% 48.47/31.56 tff(6335,plain,
% 48.47/31.56 (~v129(constB38, bitIndex2)),
% 48.47/31.56 inference(unit_resolution,[status(thm)],[6334, 6330])).
% 48.47/31.56 tff(6336,plain,
% 48.47/31.56 (((~![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)))),
% 48.47/31.56 inference(rewrite,[status(thm)],[])).
% 48.47/31.56 tff(6337,plain,
% 48.47/31.56 (((~v90(constB38, bitIndex2)) | (~v100(constB38)) | v129(constB38, bitIndex2)) <=> ((~v90(constB38, bitIndex2)) | v129(constB38, bitIndex2) | (~v100(constB38)))),
% 48.47/31.56 inference(rewrite,[status(thm)],[])).
% 48.47/31.56 tff(6338,plain,
% 48.47/31.56 (((~![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))))),
% 48.47/31.56 inference(monotonicity,[status(thm)],[6337])).
% 48.47/31.56 tff(6339,plain,
% 48.47/31.56 (((~![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)))),
% 48.47/31.56 inference(transitivity,[status(thm)],[6338, 6336])).
% 48.47/31.56 tff(6340,plain,
% 48.47/31.56 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB38, bitIndex2)) | (~v100(constB38)) | v129(constB38, bitIndex2))),
% 48.47/31.56 inference(quant_inst,[status(thm)],[])).
% 48.47/31.56 tff(6341,plain,
% 48.47/31.56 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB38, bitIndex2)) | v129(constB38, bitIndex2) | (~v100(constB38))),
% 48.47/31.56 inference(modus_ponens,[status(thm)],[6340, 6339])).
% 48.47/31.56 tff(6342,plain,
% 48.47/31.56 ((~v90(constB38, bitIndex2)) | (~v100(constB38))),
% 48.47/31.56 inference(unit_resolution,[status(thm)],[6341, 1258, 6335])).
% 48.47/31.56 tff(6343,plain,
% 48.47/31.56 (~v90(constB38, bitIndex2)),
% 48.47/31.56 inference(unit_resolution,[status(thm)],[6342, 6318])).
% 48.47/31.56 tff(6344,plain,
% 48.47/31.56 ((~v1(constB39)) <=> (~v1(constB39))),
% 48.47/31.56 inference(rewrite,[status(thm)],[])).
% 48.47/31.56 tff(6345,axiom,(~v1(constB39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_39_1_1')).
% 48.47/31.56 tff(6346,plain,
% 48.47/31.56 (~v1(constB39)),
% 48.47/31.56 inference(modus_ponens,[status(thm)],[6345, 6344])).
% 48.47/31.56 tff(6347,plain,
% 48.47/31.56 (nextState(constB38, constB39) <=> nextState(constB38, constB39)),
% 48.47/31.56 inference(rewrite,[status(thm)],[])).
% 48.47/31.56 tff(6348,axiom,(nextState(constB38, constB39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_38_1')).
% 48.47/31.56 tff(6349,plain,
% 48.47/31.56 (nextState(constB38, constB39)),
% 48.47/31.56 inference(modus_ponens,[status(thm)],[6348, 6347])).
% 48.47/31.56 tff(6350,plain,
% 48.47/31.56 (((~![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)))),
% 48.47/31.56 inference(rewrite,[status(thm)],[])).
% 48.47/31.56 tff(6351,plain,
% 48.47/31.56 (((~nextState(constB38, constB39)) | (~v101(constB39)) | v1(constB39)) <=> (v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39)))),
% 48.47/31.56 inference(rewrite,[status(thm)],[])).
% 48.47/31.56 tff(6352,plain,
% 48.47/31.56 (((~![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))))),
% 48.47/31.56 inference(monotonicity,[status(thm)],[6351])).
% 48.47/31.56 tff(6353,plain,
% 48.47/31.56 (((~![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)))),
% 48.47/31.56 inference(transitivity,[status(thm)],[6352, 6350])).
% 48.47/31.56 tff(6354,plain,
% 48.47/31.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB38, constB39)) | (~v101(constB39)) | v1(constB39))),
% 48.47/31.56 inference(quant_inst,[status(thm)],[])).
% 48.47/31.56 tff(6355,plain,
% 48.47/31.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39))),
% 48.47/31.56 inference(modus_ponens,[status(thm)],[6354, 6353])).
% 48.47/31.56 tff(6356,plain,
% 48.47/31.56 (~v101(constB39)),
% 48.47/31.56 inference(unit_resolution,[status(thm)],[6355, 49, 6349, 6346])).
% 48.47/31.56 tff(6357,plain,
% 48.47/31.56 (((~![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)))),
% 48.47/31.56 inference(rewrite,[status(thm)],[])).
% 48.47/31.56 tff(6358,plain,
% 48.47/31.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB38, constB39)) | v101(constB39) | (~v100(constB39)))),
% 48.47/31.56 inference(quant_inst,[status(thm)],[])).
% 48.47/31.56 tff(6359,plain,
% 48.47/31.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB38, constB39)) | v101(constB39) | (~v100(constB39))),
% 48.47/31.56 inference(modus_ponens,[status(thm)],[6358, 6357])).
% 48.47/31.56 tff(6360,plain,
% 48.47/31.56 (v101(constB39) | (~v100(constB39))),
% 48.47/31.56 inference(unit_resolution,[status(thm)],[6359, 66, 6349])).
% 48.47/31.56 tff(6361,plain,
% 48.47/31.56 (~v100(constB39)),
% 48.47/31.56 inference(unit_resolution,[status(thm)],[6360, 6356])).
% 48.47/31.56 tff(6362,plain,
% 48.47/31.56 (((~![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)))),
% 48.47/31.56 inference(rewrite,[status(thm)],[])).
% 48.47/31.56 tff(6363,plain,
% 48.47/31.56 (((~nextState(constB38, constB39)) | v90(constB38, bitIndex2) | v100(constB39) | (~v90(constB39, bitIndex2))) <=> (v90(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex2)))),
% 48.47/31.56 inference(rewrite,[status(thm)],[])).
% 48.47/31.56 tff(6364,plain,
% 48.47/31.56 (((~![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))))),
% 48.47/31.56 inference(monotonicity,[status(thm)],[6363])).
% 48.47/31.56 tff(6365,plain,
% 48.47/31.56 (((~![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)))),
% 48.47/31.56 inference(transitivity,[status(thm)],[6364, 6362])).
% 48.47/31.56 tff(6366,plain,
% 48.47/31.56 ((~![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)))),
% 48.47/31.56 inference(quant_inst,[status(thm)],[])).
% 48.47/31.56 tff(6367,plain,
% 48.47/31.56 ((~![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))),
% 48.47/31.56 inference(modus_ponens,[status(thm)],[6366, 6365])).
% 48.47/31.56 tff(6368,plain,
% 48.47/31.56 (v90(constB38, bitIndex2) | v100(constB39) | (~v90(constB39, bitIndex2))),
% 48.47/31.56 inference(unit_resolution,[status(thm)],[6367, 81, 6349])).
% 48.47/31.56 tff(6369,plain,
% 48.47/31.56 (v90(constB38, bitIndex2) | (~v90(constB39, bitIndex2))),
% 48.47/31.56 inference(unit_resolution,[status(thm)],[6368, 6361])).
% 48.47/31.56 tff(6370,plain,
% 48.47/31.56 (~v90(constB39, bitIndex2)),
% 48.47/31.56 inference(unit_resolution,[status(thm)],[6369, 6343])).
% 48.47/31.56 tff(6371,plain,
% 48.47/31.56 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB37)) | v130(constB37, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB37)) | v130(constB37, bitIndex1))),
% 48.47/31.56 inference(rewrite,[status(thm)],[])).
% 48.47/31.56 tff(6372,plain,
% 48.47/31.56 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB37)) | v130(constB37, bitIndex1))),
% 48.47/31.56 inference(quant_inst,[status(thm)],[])).
% 48.47/31.56 tff(6373,plain,
% 48.47/31.56 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB37)) | v130(constB37, bitIndex1)),
% 48.47/31.56 inference(modus_ponens,[status(thm)],[6372, 6371])).
% 48.47/31.56 tff(6374,plain,
% 48.47/31.56 (v130(constB37, bitIndex1)),
% 48.47/31.56 inference(unit_resolution,[status(thm)],[6373, 1450, 6244])).
% 48.47/31.56 tff(6375,plain,
% 48.47/31.56 (((~![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))) | v26(constB37) | (~v130(constB37, bitIndex1)) | v127(constB37, bitIndex1))),
% 48.47/31.56 inference(rewrite,[status(thm)],[])).
% 48.47/31.56 tff(6376,plain,
% 48.47/31.56 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB37) | (~v130(constB37, bitIndex1)) | v127(constB37, bitIndex1))),
% 48.47/31.56 inference(quant_inst,[status(thm)],[])).
% 48.47/31.56 tff(6377,plain,
% 48.47/31.56 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB37) | (~v130(constB37, bitIndex1)) | v127(constB37, bitIndex1)),
% 48.47/31.56 inference(modus_ponens,[status(thm)],[6376, 6375])).
% 48.47/31.56 tff(6378,plain,
% 48.47/31.56 ((~v130(constB37, bitIndex1)) | v127(constB37, bitIndex1)),
% 48.47/31.56 inference(unit_resolution,[status(thm)],[6377, 681, 6272])).
% 48.47/31.56 tff(6379,plain,
% 48.47/31.56 (v127(constB37, bitIndex1)),
% 48.47/31.56 inference(unit_resolution,[status(thm)],[6378, 6374])).
% 48.47/31.56 tff(6380,plain,
% 48.47/31.56 (((~![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))),
% 48.47/31.56 inference(rewrite,[status(thm)],[])).
% 48.47/31.56 tff(6381,plain,
% 48.47/31.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB37, constB38)) | (~v127(constB37, bitIndex1)) | v129(constB38, bitIndex1))),
% 48.47/31.56 inference(quant_inst,[status(thm)],[])).
% 48.47/31.56 tff(6382,plain,
% 48.47/31.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB37, constB38)) | (~v127(constB37, bitIndex1)) | v129(constB38, bitIndex1)),
% 48.47/31.56 inference(modus_ponens,[status(thm)],[6381, 6380])).
% 48.47/31.56 tff(6383,plain,
% 48.47/31.56 ((~v127(constB37, bitIndex1)) | v129(constB38, bitIndex1)),
% 48.47/31.56 inference(unit_resolution,[status(thm)],[6382, 696, 6284])).
% 48.47/31.56 tff(6384,plain,
% 48.47/31.56 (v129(constB38, bitIndex1)),
% 48.47/31.56 inference(unit_resolution,[status(thm)],[6383, 6379])).
% 48.47/31.56 tff(6385,plain,
% 48.47/31.56 (((~![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)))),
% 48.47/31.56 inference(rewrite,[status(thm)],[])).
% 48.47/31.56 tff(6386,plain,
% 48.47/31.56 ((v90(constB38, bitIndex1) | (~v100(constB38)) | (~v129(constB38, bitIndex1))) <=> (v90(constB38, bitIndex1) | (~v129(constB38, bitIndex1)) | (~v100(constB38)))),
% 48.47/31.56 inference(rewrite,[status(thm)],[])).
% 48.47/31.56 tff(6387,plain,
% 48.47/31.56 (((~![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))))),
% 48.47/31.56 inference(monotonicity,[status(thm)],[6386])).
% 48.47/31.56 tff(6388,plain,
% 48.47/31.56 (((~![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)))),
% 48.47/31.56 inference(transitivity,[status(thm)],[6387, 6385])).
% 48.47/31.56 tff(6389,plain,
% 48.47/31.56 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB38, bitIndex1) | (~v100(constB38)) | (~v129(constB38, bitIndex1)))),
% 48.47/31.56 inference(quant_inst,[status(thm)],[])).
% 48.47/31.56 tff(6390,plain,
% 48.47/31.56 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB38, bitIndex1) | (~v129(constB38, bitIndex1)) | (~v100(constB38))),
% 48.47/31.56 inference(modus_ponens,[status(thm)],[6389, 6388])).
% 48.47/31.57 tff(6391,plain,
% 48.47/31.57 (v90(constB38, bitIndex1) | (~v100(constB38))),
% 48.47/31.57 inference(unit_resolution,[status(thm)],[6390, 711, 6384])).
% 48.47/31.57 tff(6392,plain,
% 48.47/31.57 (v90(constB38, bitIndex1)),
% 48.47/31.57 inference(unit_resolution,[status(thm)],[6391, 6318])).
% 48.47/31.57 tff(6393,plain,
% 48.47/31.57 (((~![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))),
% 48.47/31.57 inference(rewrite,[status(thm)],[])).
% 48.47/31.57 tff(6394,plain,
% 48.47/31.57 (((~nextState(constB38, constB39)) | (~v90(constB38, bitIndex1)) | v100(constB39) | v90(constB39, bitIndex1)) <=> ((~v90(constB38, bitIndex1)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, bitIndex1))),
% 48.47/31.57 inference(rewrite,[status(thm)],[])).
% 48.47/31.57 tff(6395,plain,
% 48.47/31.57 (((~![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)))),
% 48.47/31.57 inference(monotonicity,[status(thm)],[6394])).
% 48.47/31.57 tff(6396,plain,
% 48.47/31.57 (((~![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))),
% 48.47/31.57 inference(transitivity,[status(thm)],[6395, 6393])).
% 48.47/31.57 tff(6397,plain,
% 48.47/31.57 ((~![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))),
% 48.47/31.57 inference(quant_inst,[status(thm)],[])).
% 48.47/31.57 tff(6398,plain,
% 48.47/31.57 ((~![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)),
% 48.47/31.57 inference(modus_ponens,[status(thm)],[6397, 6396])).
% 48.47/31.57 tff(6399,plain,
% 48.47/31.57 ((~v90(constB38, bitIndex1)) | v100(constB39) | v90(constB39, bitIndex1)),
% 48.47/31.57 inference(unit_resolution,[status(thm)],[6398, 747, 6349])).
% 48.47/31.57 tff(6400,plain,
% 48.47/31.57 ((~v90(constB38, bitIndex1)) | v90(constB39, bitIndex1)),
% 48.47/31.57 inference(unit_resolution,[status(thm)],[6399, 6361])).
% 48.47/31.57 tff(6401,plain,
% 48.47/31.57 (v90(constB39, bitIndex1)),
% 48.47/31.57 inference(unit_resolution,[status(thm)],[6400, 6392])).
% 48.47/31.57 tff(6402,plain,
% 48.47/31.57 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB37)) | (~v130(constB37, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB37)) | (~v130(constB37, bitIndex0)))),
% 48.47/31.57 inference(rewrite,[status(thm)],[])).
% 48.47/31.57 tff(6403,plain,
% 48.47/31.57 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB37)) | (~v130(constB37, bitIndex0)))),
% 48.47/31.57 inference(quant_inst,[status(thm)],[])).
% 48.47/31.57 tff(6404,plain,
% 48.47/31.57 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB37)) | (~v130(constB37, bitIndex0))),
% 48.47/31.57 inference(modus_ponens,[status(thm)],[6403, 6402])).
% 48.47/31.57 tff(6405,plain,
% 48.47/31.57 (~v130(constB37, bitIndex0)),
% 48.47/31.57 inference(unit_resolution,[status(thm)],[6404, 1492, 6244])).
% 48.47/31.57 tff(6406,plain,
% 48.47/31.57 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB37, bitIndex0)) | v26(constB37) | v130(constB37, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB37, bitIndex0)) | v26(constB37) | v130(constB37, bitIndex0))),
% 48.47/31.57 inference(rewrite,[status(thm)],[])).
% 48.47/31.57 tff(6407,plain,
% 48.47/31.57 ((v26(constB37) | v130(constB37, bitIndex0) | (~v127(constB37, bitIndex0))) <=> ((~v127(constB37, bitIndex0)) | v26(constB37) | v130(constB37, bitIndex0))),
% 48.47/31.57 inference(rewrite,[status(thm)],[])).
% 48.47/31.57 tff(6408,plain,
% 48.47/31.57 (((~![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)))) | ((~v127(constB37, bitIndex0)) | v26(constB37) | v130(constB37, bitIndex0)))),
% 48.47/31.57 inference(monotonicity,[status(thm)],[6407])).
% 48.47/31.57 tff(6409,plain,
% 48.47/31.57 (((~![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)))) | (~v127(constB37, bitIndex0)) | v26(constB37) | v130(constB37, bitIndex0))),
% 48.47/31.57 inference(transitivity,[status(thm)],[6408, 6406])).
% 48.47/31.57 tff(6410,plain,
% 48.47/31.57 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB37) | v130(constB37, bitIndex0) | (~v127(constB37, bitIndex0)))),
% 48.47/31.57 inference(quant_inst,[status(thm)],[])).
% 48.47/31.57 tff(6411,plain,
% 48.47/31.57 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB37, bitIndex0)) | v26(constB37) | v130(constB37, bitIndex0)),
% 48.47/31.57 inference(modus_ponens,[status(thm)],[6410, 6409])).
% 48.47/31.57 tff(6412,plain,
% 48.47/31.57 ((~v127(constB37, bitIndex0)) | v130(constB37, bitIndex0)),
% 48.47/31.57 inference(unit_resolution,[status(thm)],[6411, 524, 6272])).
% 48.47/31.57 tff(6413,plain,
% 48.47/31.57 (~v127(constB37, bitIndex0)),
% 48.47/31.57 inference(unit_resolution,[status(thm)],[6412, 6405])).
% 48.47/31.57 tff(6414,plain,
% 48.47/31.57 (((~![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)))),
% 48.47/31.57 inference(rewrite,[status(thm)],[])).
% 48.47/31.57 tff(6415,plain,
% 48.47/31.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB37, constB38)) | v127(constB37, bitIndex0) | (~v129(constB38, bitIndex0)))),
% 48.47/31.57 inference(quant_inst,[status(thm)],[])).
% 48.47/31.57 tff(6416,plain,
% 48.47/31.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB37, constB38)) | v127(constB37, bitIndex0) | (~v129(constB38, bitIndex0))),
% 48.47/31.57 inference(modus_ponens,[status(thm)],[6415, 6414])).
% 48.47/31.57 tff(6417,plain,
% 48.47/31.57 (v127(constB37, bitIndex0) | (~v129(constB38, bitIndex0))),
% 48.47/31.57 inference(unit_resolution,[status(thm)],[6416, 542, 6284])).
% 48.47/31.57 tff(6418,plain,
% 48.47/31.57 (~v129(constB38, bitIndex0)),
% 48.47/31.57 inference(unit_resolution,[status(thm)],[6417, 6413])).
% 48.47/31.57 tff(6419,plain,
% 48.47/31.57 (((~![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)))),
% 48.47/31.57 inference(rewrite,[status(thm)],[])).
% 48.47/31.57 tff(6420,plain,
% 48.47/31.57 (((~v90(constB38, bitIndex0)) | (~v100(constB38)) | v129(constB38, bitIndex0)) <=> ((~v90(constB38, bitIndex0)) | v129(constB38, bitIndex0) | (~v100(constB38)))),
% 48.47/31.57 inference(rewrite,[status(thm)],[])).
% 48.47/31.57 tff(6421,plain,
% 48.47/31.57 (((~![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))))),
% 48.47/31.57 inference(monotonicity,[status(thm)],[6420])).
% 48.47/31.57 tff(6422,plain,
% 48.47/31.57 (((~![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)))),
% 48.47/31.57 inference(transitivity,[status(thm)],[6421, 6419])).
% 48.47/31.57 tff(6423,plain,
% 48.47/31.57 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB38, bitIndex0)) | (~v100(constB38)) | v129(constB38, bitIndex0))),
% 48.47/31.57 inference(quant_inst,[status(thm)],[])).
% 48.47/31.57 tff(6424,plain,
% 48.47/31.57 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB38, bitIndex0)) | v129(constB38, bitIndex0) | (~v100(constB38))),
% 48.47/31.57 inference(modus_ponens,[status(thm)],[6423, 6422])).
% 48.47/31.57 tff(6425,plain,
% 48.47/31.57 ((~v90(constB38, bitIndex0)) | (~v100(constB38))),
% 48.47/31.57 inference(unit_resolution,[status(thm)],[6424, 557, 6418])).
% 48.47/31.57 tff(6426,plain,
% 48.47/31.57 (~v90(constB38, bitIndex0)),
% 48.47/31.57 inference(unit_resolution,[status(thm)],[6425, 6318])).
% 48.47/31.57 tff(6427,plain,
% 48.47/31.57 (((~![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)))),
% 48.47/31.57 inference(rewrite,[status(thm)],[])).
% 48.47/31.57 tff(6428,plain,
% 48.47/31.57 (((~nextState(constB38, constB39)) | v90(constB38, bitIndex0) | v100(constB39) | (~v90(constB39, bitIndex0))) <=> (v90(constB38, bitIndex0) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, bitIndex0)))),
% 48.47/31.57 inference(rewrite,[status(thm)],[])).
% 48.47/31.57 tff(6429,plain,
% 48.47/31.57 (((~![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))))),
% 48.47/31.57 inference(monotonicity,[status(thm)],[6428])).
% 48.47/31.57 tff(6430,plain,
% 48.47/31.57 (((~![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)))),
% 48.47/31.57 inference(transitivity,[status(thm)],[6429, 6427])).
% 48.47/31.57 tff(6431,plain,
% 48.47/31.57 ((~![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)))),
% 48.47/31.57 inference(quant_inst,[status(thm)],[])).
% 48.47/31.57 tff(6432,plain,
% 48.47/31.57 ((~![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))),
% 48.47/31.57 inference(modus_ponens,[status(thm)],[6431, 6430])).
% 48.47/31.57 tff(6433,plain,
% 48.47/31.57 (v90(constB38, bitIndex0) | v100(constB39) | (~v90(constB39, bitIndex0))),
% 48.47/31.57 inference(unit_resolution,[status(thm)],[6432, 123, 6349])).
% 48.47/31.57 tff(6434,plain,
% 48.47/31.57 (v90(constB38, bitIndex0) | (~v90(constB39, bitIndex0))),
% 48.47/31.57 inference(unit_resolution,[status(thm)],[6433, 6361])).
% 48.47/31.57 tff(6435,plain,
% 48.47/31.57 (~v90(constB39, bitIndex0)),
% 48.47/31.57 inference(unit_resolution,[status(thm)],[6434, 6426])).
% 48.47/31.57 tff(6436,plain,
% 48.47/31.57 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB39, bitIndex0) | (~v90(constB39, bitIndex1)) | v90(constB39, bitIndex2) | v121(constB39))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB39, bitIndex0) | (~v90(constB39, bitIndex1)) | v90(constB39, bitIndex2) | v121(constB39))),
% 48.47/31.57 inference(rewrite,[status(thm)],[])).
% 48.47/31.57 tff(6437,plain,
% 48.47/31.57 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB39, bitIndex0) | (~v90(constB39, bitIndex1)) | v90(constB39, bitIndex2) | v121(constB39))),
% 48.47/31.57 inference(quant_inst,[status(thm)],[])).
% 48.47/31.57 tff(6438,plain,
% 48.47/31.57 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB39, bitIndex0) | (~v90(constB39, bitIndex1)) | v90(constB39, bitIndex2) | v121(constB39)),
% 48.47/31.57 inference(modus_ponens,[status(thm)],[6437, 6436])).
% 48.47/31.57 tff(6439,plain,
% 48.47/31.57 (v121(constB39)),
% 48.47/31.57 inference(unit_resolution,[status(thm)],[6438, 1551, 6435, 6401, 6370])).
% 48.47/31.57 tff(6440,plain,
% 48.47/31.57 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB39) | (~v121(constB39)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB39) | (~v121(constB39)))),
% 48.47/31.57 inference(rewrite,[status(thm)],[])).
% 48.47/31.57 tff(6441,plain,
% 48.47/31.57 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB39) | (~v121(constB39)))),
% 48.47/31.57 inference(quant_inst,[status(thm)],[])).
% 48.47/31.57 tff(6442,plain,
% 48.47/31.57 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB39) | (~v121(constB39))),
% 48.47/31.57 inference(modus_ponens,[status(thm)],[6441, 6440])).
% 48.47/31.57 tff(6443,plain,
% 48.47/31.57 (v117(constB39)),
% 48.47/31.57 inference(unit_resolution,[status(thm)],[6442, 1562, 6439])).
% 48.47/31.57 tff(6444,plain,
% 48.47/31.57 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB39) | (~v117(constB39)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB39) | (~v117(constB39)))),
% 48.47/31.57 inference(rewrite,[status(thm)],[])).
% 48.47/31.57 tff(6445,plain,
% 48.47/31.57 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB39) | (~v117(constB39)))),
% 48.47/31.57 inference(quant_inst,[status(thm)],[])).
% 48.47/31.57 tff(6446,plain,
% 48.47/31.57 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB39) | (~v117(constB39))),
% 48.47/31.57 inference(modus_ponens,[status(thm)],[6445, 6444])).
% 48.47/31.57 tff(6447,plain,
% 48.47/31.57 (v116(constB39)),
% 48.47/31.57 inference(unit_resolution,[status(thm)],[6446, 177, 6443])).
% 48.47/31.57 tff(6448,plain,
% 48.47/31.57 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB39) | (~v116(constB39)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB39) | (~v116(constB39)))),
% 48.47/31.57 inference(rewrite,[status(thm)],[])).
% 48.47/31.57 tff(6449,plain,
% 48.47/31.57 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB39) | (~v116(constB39)))),
% 48.47/31.57 inference(quant_inst,[status(thm)],[])).
% 48.47/31.57 tff(6450,plain,
% 48.47/31.57 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB39) | (~v116(constB39))),
% 48.47/31.57 inference(modus_ponens,[status(thm)],[6449, 6448])).
% 48.47/31.57 tff(6451,plain,
% 48.47/31.57 (v115(constB39)),
% 48.47/31.57 inference(unit_resolution,[status(thm)],[6450, 188, 6447])).
% 48.47/31.57 tff(6452,plain,
% 48.47/31.57 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB39) | (~v115(constB39)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB39) | (~v115(constB39)))),
% 48.47/31.57 inference(rewrite,[status(thm)],[])).
% 48.47/31.57 tff(6453,plain,
% 48.47/31.57 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB39) | (~v115(constB39)))),
% 48.47/31.57 inference(quant_inst,[status(thm)],[])).
% 48.47/31.57 tff(6454,plain,
% 48.47/31.57 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB39) | (~v115(constB39))),
% 48.47/31.57 inference(modus_ponens,[status(thm)],[6453, 6452])).
% 48.47/31.57 tff(6455,plain,
% 48.47/31.57 (v114(constB39)),
% 48.47/31.57 inference(unit_resolution,[status(thm)],[6454, 199, 6451])).
% 48.47/31.57 tff(6456,plain,
% 48.47/31.57 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB39) | (~v114(constB39)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB39) | (~v114(constB39)))),
% 48.47/31.57 inference(rewrite,[status(thm)],[])).
% 48.47/31.57 tff(6457,plain,
% 48.47/31.57 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB39) | (~v114(constB39)))),
% 48.47/31.57 inference(quant_inst,[status(thm)],[])).
% 48.47/31.57 tff(6458,plain,
% 48.47/31.57 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB39) | (~v114(constB39))),
% 48.47/31.57 inference(modus_ponens,[status(thm)],[6457, 6456])).
% 48.47/31.57 tff(6459,plain,
% 48.47/31.57 (v113(constB39)),
% 48.47/31.57 inference(unit_resolution,[status(thm)],[6458, 210, 6455])).
% 48.47/31.57 tff(6460,assumption,(v26(constB39)), introduced(assumption)).
% 48.47/31.57 tff(6461,plain,
% 48.47/31.57 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB39))),
% 48.47/31.57 inference(quant_inst,[status(thm)],[])).
% 48.47/31.57 tff(6462,plain,
% 48.47/31.57 ($false),
% 48.47/31.57 inference(unit_resolution,[status(thm)],[6461, 16, 6460])).
% 48.47/31.57 tff(6463,plain,(~v26(constB39)), inference(lemma,lemma(discharge,[]))).
% 48.47/31.57 tff(6464,plain,
% 48.47/31.57 (((~![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)))),
% 48.47/31.57 inference(rewrite,[status(thm)],[])).
% 48.47/31.57 tff(6465,plain,
% 48.47/31.57 ((v26(constB39) | (~v113(constB39)) | v112(constB39)) <=> (v26(constB39) | v112(constB39) | (~v113(constB39)))),
% 48.47/31.57 inference(rewrite,[status(thm)],[])).
% 48.47/31.57 tff(6466,plain,
% 48.47/31.57 (((~![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))))),
% 48.47/31.57 inference(monotonicity,[status(thm)],[6465])).
% 48.47/31.57 tff(6467,plain,
% 48.47/31.57 (((~![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)))),
% 48.47/31.57 inference(transitivity,[status(thm)],[6466, 6464])).
% 48.47/31.57 tff(6468,plain,
% 48.47/31.57 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB39) | (~v113(constB39)) | v112(constB39))),
% 48.47/31.57 inference(quant_inst,[status(thm)],[])).
% 48.47/31.57 tff(6469,plain,
% 48.47/31.57 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB39) | v112(constB39) | (~v113(constB39))),
% 48.47/31.57 inference(modus_ponens,[status(thm)],[6468, 6467])).
% 48.47/31.57 tff(6470,plain,
% 48.47/31.57 (v112(constB39) | (~v113(constB39))),
% 48.47/31.57 inference(unit_resolution,[status(thm)],[6469, 224, 6463])).
% 48.47/31.57 tff(6471,plain,
% 48.47/31.57 (v112(constB39)),
% 48.47/31.57 inference(unit_resolution,[status(thm)],[6470, 6459])).
% 48.47/31.57 tff(6472,plain,
% 48.47/31.57 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB39) | (~v112(constB39)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB39) | (~v112(constB39)))),
% 48.47/31.57 inference(rewrite,[status(thm)],[])).
% 48.47/31.57 tff(6473,plain,
% 48.47/31.57 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB39) | (~v112(constB39)))),
% 48.47/31.57 inference(quant_inst,[status(thm)],[])).
% 48.47/31.57 tff(6474,plain,
% 48.47/31.57 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB39) | (~v112(constB39))),
% 48.47/31.57 inference(modus_ponens,[status(thm)],[6473, 6472])).
% 48.47/31.57 tff(6475,plain,
% 48.47/31.57 (v108(constB39)),
% 48.47/31.57 inference(unit_resolution,[status(thm)],[6474, 236, 6471])).
% 48.47/31.57 tff(6476,plain,
% 48.47/31.57 (nextState(constB39, constB40) <=> nextState(constB39, constB40)),
% 48.47/31.57 inference(rewrite,[status(thm)],[])).
% 48.47/31.57 tff(6477,axiom,(nextState(constB39, constB40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_39_1')).
% 48.47/31.57 tff(6478,plain,
% 48.47/31.57 (nextState(constB39, constB40)),
% 48.47/31.57 inference(modus_ponens,[status(thm)],[6477, 6476])).
% 48.47/31.57 tff(6479,plain,
% 48.47/31.57 (((~![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)))),
% 48.47/31.57 inference(rewrite,[status(thm)],[])).
% 48.47/31.57 tff(6480,plain,
% 48.47/31.57 (((~nextState(constB39, constB40)) | (~v108(constB39)) | v110(constB40)) <=> ((~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39)))),
% 48.47/31.57 inference(rewrite,[status(thm)],[])).
% 48.47/31.57 tff(6481,plain,
% 48.47/31.57 (((~![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))))),
% 48.47/31.57 inference(monotonicity,[status(thm)],[6480])).
% 48.47/31.57 tff(6482,plain,
% 48.47/31.57 (((~![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)))),
% 48.47/31.57 inference(transitivity,[status(thm)],[6481, 6479])).
% 48.47/31.57 tff(6483,plain,
% 48.47/31.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB39, constB40)) | (~v108(constB39)) | v110(constB40))),
% 48.47/31.57 inference(quant_inst,[status(thm)],[])).
% 48.47/31.57 tff(6484,plain,
% 48.47/31.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39))),
% 48.47/31.57 inference(modus_ponens,[status(thm)],[6483, 6482])).
% 48.47/31.57 tff(6485,plain,
% 48.47/31.57 (v110(constB40) | (~v108(constB39))),
% 48.47/31.57 inference(unit_resolution,[status(thm)],[6484, 253, 6478])).
% 48.47/31.57 tff(6486,plain,
% 48.47/31.57 (v110(constB40)),
% 48.47/31.57 inference(unit_resolution,[status(thm)],[6485, 6475])).
% 48.47/31.57 tff(6487,plain,
% 48.47/31.57 (((~![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)))),
% 48.47/31.57 inference(rewrite,[status(thm)],[])).
% 48.47/31.57 tff(6488,plain,
% 48.47/31.57 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB39) | (~nextState(constB39, constB40)) | (~v104(constB40)))),
% 48.47/31.57 inference(quant_inst,[status(thm)],[])).
% 48.47/31.57 tff(6489,plain,
% 48.47/31.57 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB39) | (~nextState(constB39, constB40)) | (~v104(constB40))),
% 48.47/31.57 inference(modus_ponens,[status(thm)],[6488, 6487])).
% 48.47/31.57 tff(6490,plain,
% 48.47/31.57 (~v104(constB40)),
% 48.47/31.57 inference(unit_resolution,[status(thm)],[6489, 271, 6478, 6346])).
% 48.47/31.57 tff(6491,plain,
% 48.47/31.57 (((~![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))),
% 48.47/31.57 inference(rewrite,[status(thm)],[])).
% 48.47/31.57 tff(6492,plain,
% 48.47/31.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB39, constB40)) | v102(constB40) | v104(constB40))),
% 48.47/31.57 inference(quant_inst,[status(thm)],[])).
% 48.47/31.57 tff(6493,plain,
% 48.47/31.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB39, constB40)) | v102(constB40) | v104(constB40)),
% 48.47/31.57 inference(modus_ponens,[status(thm)],[6492, 6491])).
% 48.47/31.57 tff(6494,plain,
% 48.47/31.57 (v102(constB40) | v104(constB40)),
% 48.47/31.57 inference(unit_resolution,[status(thm)],[6493, 285, 6478])).
% 48.47/31.57 tff(6495,plain,
% 48.47/31.57 (v102(constB40)),
% 48.47/31.57 inference(unit_resolution,[status(thm)],[6494, 6490])).
% 48.47/31.57 tff(6496,plain,
% 48.47/31.57 (v1(constB40) <=> v1(constB40)),
% 48.47/31.57 inference(rewrite,[status(thm)],[])).
% 48.47/31.57 tff(6497,axiom,(v1(constB40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_40_1')).
% 48.47/31.57 tff(6498,plain,
% 48.47/31.57 (v1(constB40)),
% 48.47/31.57 inference(modus_ponens,[status(thm)],[6497, 6496])).
% 48.47/31.57 tff(6499,plain,
% 48.47/31.57 (((~![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)))),
% 48.47/31.57 inference(rewrite,[status(thm)],[])).
% 48.47/31.57 tff(6500,plain,
% 48.47/31.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB39, constB40)) | v101(constB40) | (~v102(constB40)) | (~v1(constB40)))),
% 48.47/31.57 inference(quant_inst,[status(thm)],[])).
% 48.47/31.57 tff(6501,plain,
% 48.47/31.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB39, constB40)) | v101(constB40) | (~v102(constB40)) | (~v1(constB40))),
% 48.47/31.57 inference(modus_ponens,[status(thm)],[6500, 6499])).
% 48.47/31.57 tff(6502,plain,
% 48.47/31.57 (v101(constB40) | (~v102(constB40))),
% 48.47/31.57 inference(unit_resolution,[status(thm)],[6501, 303, 6478, 6498])).
% 48.47/31.57 tff(6503,plain,
% 48.47/31.57 (v101(constB40)),
% 48.47/31.57 inference(unit_resolution,[status(thm)],[6502, 6495])).
% 48.47/31.57 tff(6504,plain,
% 48.47/31.57 (((~![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)))),
% 48.47/31.57 inference(rewrite,[status(thm)],[])).
% 48.47/31.57 tff(6505,plain,
% 48.47/31.57 (((~nextState(constB39, constB40)) | (~v101(constB40)) | (~v110(constB40)) | v100(constB40)) <=> ((~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40)))),
% 48.47/31.57 inference(rewrite,[status(thm)],[])).
% 48.47/31.57 tff(6506,plain,
% 48.47/31.57 (((~![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))))),
% 48.47/31.57 inference(monotonicity,[status(thm)],[6505])).
% 48.47/31.57 tff(6507,plain,
% 48.47/31.57 (((~![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)))),
% 48.47/31.57 inference(transitivity,[status(thm)],[6506, 6504])).
% 48.47/31.57 tff(6508,plain,
% 48.47/31.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB39, constB40)) | (~v101(constB40)) | (~v110(constB40)) | v100(constB40))),
% 48.47/31.57 inference(quant_inst,[status(thm)],[])).
% 48.47/31.57 tff(6509,plain,
% 48.47/31.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40))),
% 48.47/31.57 inference(modus_ponens,[status(thm)],[6508, 6507])).
% 48.47/31.57 tff(6510,plain,
% 48.47/31.57 (v100(constB40) | (~v101(constB40)) | (~v110(constB40))),
% 48.47/31.57 inference(unit_resolution,[status(thm)],[6509, 318, 6478])).
% 48.47/31.57 tff(6511,plain,
% 48.47/31.57 (v100(constB40) | (~v110(constB40))),
% 48.47/31.57 inference(unit_resolution,[status(thm)],[6510, 6503])).
% 48.47/31.57 tff(6512,plain,
% 48.47/31.57 (v100(constB40)),
% 48.47/31.57 inference(unit_resolution,[status(thm)],[6511, 6486])).
% 48.47/31.57 tff(6513,plain,
% 48.47/31.57 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB39)) | (~v130(constB39, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB39)) | (~v130(constB39, bitIndex2)))),
% 48.47/31.57 inference(rewrite,[status(thm)],[])).
% 48.47/31.57 tff(6514,plain,
% 48.47/31.57 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB39)) | (~v130(constB39, bitIndex2)))),
% 48.47/31.57 inference(quant_inst,[status(thm)],[])).
% 48.47/31.57 tff(6515,plain,
% 48.47/31.57 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB39)) | (~v130(constB39, bitIndex2))),
% 48.47/31.57 inference(modus_ponens,[status(thm)],[6514, 6513])).
% 48.47/31.57 tff(6516,plain,
% 48.47/31.57 (~v130(constB39, bitIndex2)),
% 48.47/31.57 inference(unit_resolution,[status(thm)],[6515, 1645, 6439])).
% 48.47/31.57 tff(6517,plain,
% 48.47/31.57 (((~![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))),
% 48.47/31.57 inference(rewrite,[status(thm)],[])).
% 48.47/31.57 tff(6518,plain,
% 48.47/31.57 ((v26(constB39) | v130(constB39, bitIndex2) | (~v127(constB39, bitIndex2))) <=> ((~v127(constB39, bitIndex2)) | v26(constB39) | v130(constB39, bitIndex2))),
% 48.47/31.57 inference(rewrite,[status(thm)],[])).
% 48.47/31.57 tff(6519,plain,
% 48.47/31.57 (((~![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)))),
% 48.47/31.57 inference(monotonicity,[status(thm)],[6518])).
% 48.47/31.57 tff(6520,plain,
% 48.47/31.57 (((~![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))),
% 48.47/31.57 inference(transitivity,[status(thm)],[6519, 6517])).
% 48.47/31.57 tff(6521,plain,
% 48.47/31.57 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB39) | v130(constB39, bitIndex2) | (~v127(constB39, bitIndex2)))),
% 48.47/31.57 inference(quant_inst,[status(thm)],[])).
% 48.47/31.57 tff(6522,plain,
% 48.47/31.57 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB39, bitIndex2)) | v26(constB39) | v130(constB39, bitIndex2)),
% 48.47/31.57 inference(modus_ponens,[status(thm)],[6521, 6520])).
% 48.47/31.57 tff(6523,plain,
% 48.47/31.57 ((~v127(constB39, bitIndex2)) | v130(constB39, bitIndex2)),
% 48.47/31.57 inference(unit_resolution,[status(thm)],[6522, 1210, 6463])).
% 48.47/31.57 tff(6524,plain,
% 48.47/31.57 (~v127(constB39, bitIndex2)),
% 48.47/31.57 inference(unit_resolution,[status(thm)],[6523, 6516])).
% 48.47/31.57 tff(6525,plain,
% 48.47/31.57 (((~![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)))),
% 48.47/31.58 inference(rewrite,[status(thm)],[])).
% 48.47/31.58 tff(6526,plain,
% 48.47/31.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB39, constB40)) | v127(constB39, bitIndex2) | (~v129(constB40, bitIndex2)))),
% 48.47/31.58 inference(quant_inst,[status(thm)],[])).
% 48.47/31.58 tff(6527,plain,
% 48.47/31.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB39, constB40)) | v127(constB39, bitIndex2) | (~v129(constB40, bitIndex2))),
% 48.47/31.58 inference(modus_ponens,[status(thm)],[6526, 6525])).
% 48.47/31.58 tff(6528,plain,
% 48.47/31.58 (v127(constB39, bitIndex2) | (~v129(constB40, bitIndex2))),
% 48.47/31.58 inference(unit_resolution,[status(thm)],[6527, 1243, 6478])).
% 48.47/31.58 tff(6529,plain,
% 48.47/31.58 (~v129(constB40, bitIndex2)),
% 48.47/31.58 inference(unit_resolution,[status(thm)],[6528, 6524])).
% 48.47/31.58 tff(6530,plain,
% 48.47/31.58 (((~![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)))),
% 48.47/31.58 inference(rewrite,[status(thm)],[])).
% 48.47/31.58 tff(6531,plain,
% 48.47/31.58 (((~v90(constB40, bitIndex2)) | (~v100(constB40)) | v129(constB40, bitIndex2)) <=> ((~v90(constB40, bitIndex2)) | v129(constB40, bitIndex2) | (~v100(constB40)))),
% 48.47/31.58 inference(rewrite,[status(thm)],[])).
% 48.47/31.58 tff(6532,plain,
% 48.47/31.58 (((~![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))))),
% 48.47/31.58 inference(monotonicity,[status(thm)],[6531])).
% 48.47/31.58 tff(6533,plain,
% 48.47/31.58 (((~![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)))),
% 48.47/31.58 inference(transitivity,[status(thm)],[6532, 6530])).
% 48.47/31.58 tff(6534,plain,
% 48.47/31.58 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB40, bitIndex2)) | (~v100(constB40)) | v129(constB40, bitIndex2))),
% 48.47/31.58 inference(quant_inst,[status(thm)],[])).
% 48.47/31.58 tff(6535,plain,
% 48.47/31.58 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB40, bitIndex2)) | v129(constB40, bitIndex2) | (~v100(constB40))),
% 48.47/31.58 inference(modus_ponens,[status(thm)],[6534, 6533])).
% 48.47/31.58 tff(6536,plain,
% 48.47/31.58 ((~v90(constB40, bitIndex2)) | (~v100(constB40))),
% 48.47/31.58 inference(unit_resolution,[status(thm)],[6535, 1258, 6529])).
% 48.47/31.58 tff(6537,plain,
% 48.47/31.58 (~v90(constB40, bitIndex2)),
% 48.47/31.58 inference(unit_resolution,[status(thm)],[6536, 6512])).
% 48.47/31.58 tff(6538,plain,
% 48.47/31.58 ((~v1(constB41)) <=> (~v1(constB41))),
% 48.47/31.58 inference(rewrite,[status(thm)],[])).
% 48.47/31.58 tff(6539,axiom,(~v1(constB41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_41_1_1')).
% 48.47/31.58 tff(6540,plain,
% 48.47/31.58 (~v1(constB41)),
% 48.47/31.58 inference(modus_ponens,[status(thm)],[6539, 6538])).
% 48.47/31.58 tff(6541,plain,
% 48.47/31.58 (nextState(constB40, constB41) <=> nextState(constB40, constB41)),
% 48.47/31.58 inference(rewrite,[status(thm)],[])).
% 48.47/31.58 tff(6542,axiom,(nextState(constB40, constB41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_40_1')).
% 48.47/31.58 tff(6543,plain,
% 48.47/31.58 (nextState(constB40, constB41)),
% 48.47/31.58 inference(modus_ponens,[status(thm)],[6542, 6541])).
% 48.47/31.58 tff(6544,plain,
% 48.47/31.58 (((~![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)))),
% 48.47/31.58 inference(rewrite,[status(thm)],[])).
% 48.47/31.58 tff(6545,plain,
% 48.47/31.58 (((~nextState(constB40, constB41)) | (~v101(constB41)) | v1(constB41)) <=> (v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41)))),
% 48.47/31.58 inference(rewrite,[status(thm)],[])).
% 48.47/31.58 tff(6546,plain,
% 48.47/31.58 (((~![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))))),
% 48.47/31.58 inference(monotonicity,[status(thm)],[6545])).
% 48.47/31.58 tff(6547,plain,
% 48.47/31.58 (((~![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)))),
% 48.47/31.58 inference(transitivity,[status(thm)],[6546, 6544])).
% 48.47/31.58 tff(6548,plain,
% 48.47/31.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB40, constB41)) | (~v101(constB41)) | v1(constB41))),
% 48.47/31.58 inference(quant_inst,[status(thm)],[])).
% 48.47/31.58 tff(6549,plain,
% 48.47/31.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41))),
% 48.47/31.58 inference(modus_ponens,[status(thm)],[6548, 6547])).
% 48.47/31.58 tff(6550,plain,
% 48.47/31.58 (~v101(constB41)),
% 48.47/31.58 inference(unit_resolution,[status(thm)],[6549, 49, 6543, 6540])).
% 48.47/31.58 tff(6551,plain,
% 48.47/31.58 (((~![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)))),
% 48.47/31.58 inference(rewrite,[status(thm)],[])).
% 48.47/31.58 tff(6552,plain,
% 48.47/31.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB40, constB41)) | v101(constB41) | (~v100(constB41)))),
% 48.47/31.58 inference(quant_inst,[status(thm)],[])).
% 48.47/31.58 tff(6553,plain,
% 48.47/31.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB40, constB41)) | v101(constB41) | (~v100(constB41))),
% 48.47/31.58 inference(modus_ponens,[status(thm)],[6552, 6551])).
% 48.47/31.58 tff(6554,plain,
% 48.47/31.58 (v101(constB41) | (~v100(constB41))),
% 48.47/31.58 inference(unit_resolution,[status(thm)],[6553, 66, 6543])).
% 48.47/31.58 tff(6555,plain,
% 48.47/31.58 (~v100(constB41)),
% 48.47/31.58 inference(unit_resolution,[status(thm)],[6554, 6550])).
% 48.47/31.58 tff(6556,plain,
% 48.47/31.58 (((~![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)))),
% 48.47/31.58 inference(rewrite,[status(thm)],[])).
% 48.47/31.58 tff(6557,plain,
% 48.47/31.58 (((~nextState(constB40, constB41)) | v90(constB40, bitIndex2) | v100(constB41) | (~v90(constB41, bitIndex2))) <=> (v90(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, bitIndex2)))),
% 48.47/31.58 inference(rewrite,[status(thm)],[])).
% 48.47/31.58 tff(6558,plain,
% 48.47/31.58 (((~![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))))),
% 48.47/31.58 inference(monotonicity,[status(thm)],[6557])).
% 48.47/31.58 tff(6559,plain,
% 48.47/31.58 (((~![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)))),
% 48.47/31.58 inference(transitivity,[status(thm)],[6558, 6556])).
% 48.47/31.58 tff(6560,plain,
% 48.47/31.58 ((~![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)))),
% 48.47/31.58 inference(quant_inst,[status(thm)],[])).
% 48.47/31.58 tff(6561,plain,
% 48.47/31.58 ((~![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))),
% 48.47/31.58 inference(modus_ponens,[status(thm)],[6560, 6559])).
% 48.47/31.58 tff(6562,plain,
% 48.47/31.58 (v90(constB40, bitIndex2) | v100(constB41) | (~v90(constB41, bitIndex2))),
% 48.47/31.58 inference(unit_resolution,[status(thm)],[6561, 81, 6543])).
% 48.47/31.58 tff(6563,plain,
% 48.47/31.58 (v90(constB40, bitIndex2) | (~v90(constB41, bitIndex2))),
% 48.47/31.58 inference(unit_resolution,[status(thm)],[6562, 6555])).
% 48.47/31.58 tff(6564,plain,
% 48.47/31.58 (~v90(constB41, bitIndex2)),
% 48.47/31.58 inference(unit_resolution,[status(thm)],[6563, 6537])).
% 48.47/31.58 tff(6565,plain,
% 48.47/31.58 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB39)) | v130(constB39, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB39)) | v130(constB39, bitIndex1))),
% 48.47/31.58 inference(rewrite,[status(thm)],[])).
% 48.47/31.58 tff(6566,plain,
% 48.47/31.58 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB39)) | v130(constB39, bitIndex1))),
% 48.47/31.58 inference(quant_inst,[status(thm)],[])).
% 48.47/31.58 tff(6567,plain,
% 48.47/31.58 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB39)) | v130(constB39, bitIndex1)),
% 48.47/31.58 inference(modus_ponens,[status(thm)],[6566, 6565])).
% 48.47/31.58 tff(6568,plain,
% 48.47/31.58 (v130(constB39, bitIndex1)),
% 48.47/31.58 inference(unit_resolution,[status(thm)],[6567, 1707, 6439])).
% 48.47/31.58 tff(6569,plain,
% 48.47/31.58 (((~![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))),
% 48.47/31.58 inference(rewrite,[status(thm)],[])).
% 48.47/31.58 tff(6570,plain,
% 48.47/31.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB39) | (~v130(constB39, bitIndex1)) | v127(constB39, bitIndex1))),
% 48.47/31.58 inference(quant_inst,[status(thm)],[])).
% 48.47/31.58 tff(6571,plain,
% 48.47/31.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB39) | (~v130(constB39, bitIndex1)) | v127(constB39, bitIndex1)),
% 48.47/31.58 inference(modus_ponens,[status(thm)],[6570, 6569])).
% 48.47/31.58 tff(6572,plain,
% 48.47/31.58 ((~v130(constB39, bitIndex1)) | v127(constB39, bitIndex1)),
% 48.47/31.58 inference(unit_resolution,[status(thm)],[6571, 681, 6463])).
% 48.47/31.58 tff(6573,plain,
% 48.47/31.58 (v127(constB39, bitIndex1)),
% 48.47/31.58 inference(unit_resolution,[status(thm)],[6572, 6568])).
% 48.47/31.58 tff(6574,plain,
% 48.47/31.58 (((~![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))),
% 48.47/31.58 inference(rewrite,[status(thm)],[])).
% 48.47/31.58 tff(6575,plain,
% 48.47/31.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB39, constB40)) | (~v127(constB39, bitIndex1)) | v129(constB40, bitIndex1))),
% 48.47/31.58 inference(quant_inst,[status(thm)],[])).
% 48.47/31.58 tff(6576,plain,
% 48.47/31.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB39, constB40)) | (~v127(constB39, bitIndex1)) | v129(constB40, bitIndex1)),
% 48.47/31.58 inference(modus_ponens,[status(thm)],[6575, 6574])).
% 48.47/31.58 tff(6577,plain,
% 48.47/31.58 ((~v127(constB39, bitIndex1)) | v129(constB40, bitIndex1)),
% 48.47/31.58 inference(unit_resolution,[status(thm)],[6576, 696, 6478])).
% 48.47/31.58 tff(6578,plain,
% 48.47/31.58 (v129(constB40, bitIndex1)),
% 48.47/31.58 inference(unit_resolution,[status(thm)],[6577, 6573])).
% 48.47/31.58 tff(6579,plain,
% 48.47/31.58 (((~![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)))),
% 48.47/31.58 inference(rewrite,[status(thm)],[])).
% 48.47/31.58 tff(6580,plain,
% 48.47/31.58 ((v90(constB40, bitIndex1) | (~v100(constB40)) | (~v129(constB40, bitIndex1))) <=> (v90(constB40, bitIndex1) | (~v129(constB40, bitIndex1)) | (~v100(constB40)))),
% 48.47/31.58 inference(rewrite,[status(thm)],[])).
% 48.47/31.58 tff(6581,plain,
% 48.47/31.58 (((~![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))))),
% 48.47/31.58 inference(monotonicity,[status(thm)],[6580])).
% 48.47/31.58 tff(6582,plain,
% 48.47/31.58 (((~![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)))),
% 48.47/31.58 inference(transitivity,[status(thm)],[6581, 6579])).
% 48.47/31.58 tff(6583,plain,
% 48.47/31.58 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB40, bitIndex1) | (~v100(constB40)) | (~v129(constB40, bitIndex1)))),
% 48.47/31.58 inference(quant_inst,[status(thm)],[])).
% 48.47/31.58 tff(6584,plain,
% 48.47/31.58 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB40, bitIndex1) | (~v129(constB40, bitIndex1)) | (~v100(constB40))),
% 48.47/31.58 inference(modus_ponens,[status(thm)],[6583, 6582])).
% 48.47/31.58 tff(6585,plain,
% 48.47/31.58 (v90(constB40, bitIndex1) | (~v100(constB40))),
% 48.47/31.58 inference(unit_resolution,[status(thm)],[6584, 711, 6578])).
% 48.47/31.58 tff(6586,plain,
% 48.47/31.58 (v90(constB40, bitIndex1)),
% 48.47/31.58 inference(unit_resolution,[status(thm)],[6585, 6512])).
% 48.47/31.58 tff(6587,plain,
% 48.47/31.58 (((~![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))),
% 48.47/31.58 inference(rewrite,[status(thm)],[])).
% 48.47/31.58 tff(6588,plain,
% 48.47/31.58 (((~nextState(constB40, constB41)) | (~v90(constB40, bitIndex1)) | v100(constB41) | v90(constB41, bitIndex1)) <=> ((~v90(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex1))),
% 48.47/31.58 inference(rewrite,[status(thm)],[])).
% 48.47/31.58 tff(6589,plain,
% 48.47/31.58 (((~![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)))),
% 48.47/31.58 inference(monotonicity,[status(thm)],[6588])).
% 48.47/31.58 tff(6590,plain,
% 48.47/31.58 (((~![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))),
% 48.47/31.58 inference(transitivity,[status(thm)],[6589, 6587])).
% 48.47/31.58 tff(6591,plain,
% 48.47/31.58 ((~![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))),
% 48.47/31.58 inference(quant_inst,[status(thm)],[])).
% 48.47/31.58 tff(6592,plain,
% 48.47/31.58 ((~![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)),
% 48.47/31.58 inference(modus_ponens,[status(thm)],[6591, 6590])).
% 48.47/31.58 tff(6593,plain,
% 48.47/31.58 ((~v90(constB40, bitIndex1)) | v100(constB41) | v90(constB41, bitIndex1)),
% 48.47/31.58 inference(unit_resolution,[status(thm)],[6592, 747, 6543])).
% 48.47/31.58 tff(6594,plain,
% 48.47/31.58 ((~v90(constB40, bitIndex1)) | v90(constB41, bitIndex1)),
% 48.47/31.58 inference(unit_resolution,[status(thm)],[6593, 6555])).
% 48.47/31.58 tff(6595,plain,
% 48.47/31.58 (v90(constB41, bitIndex1)),
% 48.47/31.58 inference(unit_resolution,[status(thm)],[6594, 6586])).
% 48.47/31.58 tff(6596,plain,
% 48.47/31.58 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB39)) | v130(constB39, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB39)) | v130(constB39, bitIndex0))),
% 48.47/31.58 inference(rewrite,[status(thm)],[])).
% 48.47/31.58 tff(6597,plain,
% 48.47/31.58 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB39)) | v130(constB39, bitIndex0))),
% 48.47/31.58 inference(quant_inst,[status(thm)],[])).
% 48.47/31.58 tff(6598,plain,
% 48.47/31.58 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB39)) | v130(constB39, bitIndex0)),
% 48.47/31.58 inference(modus_ponens,[status(thm)],[6597, 6596])).
% 48.47/31.58 tff(6599,plain,
% 48.47/31.58 (v130(constB39, bitIndex0)),
% 48.47/31.58 inference(unit_resolution,[status(thm)],[6598, 1748, 6439])).
% 48.47/31.58 tff(6600,plain,
% 48.47/31.58 (((~![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))) | v26(constB39) | (~v130(constB39, bitIndex0)) | v127(constB39, bitIndex0))),
% 48.47/31.58 inference(rewrite,[status(thm)],[])).
% 48.47/31.58 tff(6601,plain,
% 48.47/31.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB39) | (~v130(constB39, bitIndex0)) | v127(constB39, bitIndex0))),
% 48.47/31.58 inference(quant_inst,[status(thm)],[])).
% 48.47/31.58 tff(6602,plain,
% 48.47/31.58 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB39) | (~v130(constB39, bitIndex0)) | v127(constB39, bitIndex0)),
% 48.47/31.58 inference(modus_ponens,[status(thm)],[6601, 6600])).
% 48.47/31.58 tff(6603,plain,
% 48.47/31.58 ((~v130(constB39, bitIndex0)) | v127(constB39, bitIndex0)),
% 48.47/31.58 inference(unit_resolution,[status(thm)],[6602, 926, 6463])).
% 48.47/31.58 tff(6604,plain,
% 48.47/31.58 (v127(constB39, bitIndex0)),
% 48.47/31.58 inference(unit_resolution,[status(thm)],[6603, 6599])).
% 48.47/31.58 tff(6605,plain,
% 48.47/31.58 (((~![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))),
% 48.47/31.58 inference(rewrite,[status(thm)],[])).
% 48.47/31.58 tff(6606,plain,
% 48.47/31.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB39, constB40)) | (~v127(constB39, bitIndex0)) | v129(constB40, bitIndex0))),
% 48.47/31.58 inference(quant_inst,[status(thm)],[])).
% 48.47/31.58 tff(6607,plain,
% 48.47/31.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB39, constB40)) | (~v127(constB39, bitIndex0)) | v129(constB40, bitIndex0)),
% 48.47/31.58 inference(modus_ponens,[status(thm)],[6606, 6605])).
% 48.47/31.58 tff(6608,plain,
% 48.47/31.58 ((~v127(constB39, bitIndex0)) | v129(constB40, bitIndex0)),
% 48.47/31.58 inference(unit_resolution,[status(thm)],[6607, 944, 6478])).
% 48.47/31.58 tff(6609,plain,
% 48.47/31.58 (v129(constB40, bitIndex0)),
% 48.47/31.58 inference(unit_resolution,[status(thm)],[6608, 6604])).
% 48.47/31.58 tff(6610,plain,
% 48.47/31.58 (((~![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)))),
% 48.47/31.58 inference(rewrite,[status(thm)],[])).
% 48.47/31.58 tff(6611,plain,
% 48.47/31.58 ((v90(constB40, bitIndex0) | (~v100(constB40)) | (~v129(constB40, bitIndex0))) <=> (v90(constB40, bitIndex0) | (~v129(constB40, bitIndex0)) | (~v100(constB40)))),
% 48.47/31.58 inference(rewrite,[status(thm)],[])).
% 48.47/31.58 tff(6612,plain,
% 48.47/31.58 (((~![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))))),
% 48.47/31.58 inference(monotonicity,[status(thm)],[6611])).
% 48.47/31.58 tff(6613,plain,
% 48.47/31.58 (((~![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)))),
% 48.47/31.58 inference(transitivity,[status(thm)],[6612, 6610])).
% 48.47/31.58 tff(6614,plain,
% 48.47/31.58 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB40, bitIndex0) | (~v100(constB40)) | (~v129(constB40, bitIndex0)))),
% 48.47/31.58 inference(quant_inst,[status(thm)],[])).
% 48.47/31.58 tff(6615,plain,
% 48.47/31.58 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB40, bitIndex0) | (~v129(constB40, bitIndex0)) | (~v100(constB40))),
% 48.47/31.58 inference(modus_ponens,[status(thm)],[6614, 6613])).
% 48.47/31.58 tff(6616,plain,
% 48.47/31.58 (v90(constB40, bitIndex0) | (~v100(constB40))),
% 48.47/31.58 inference(unit_resolution,[status(thm)],[6615, 1088, 6609])).
% 48.47/31.58 tff(6617,plain,
% 48.47/31.58 (v90(constB40, bitIndex0)),
% 48.47/31.58 inference(unit_resolution,[status(thm)],[6616, 6512])).
% 48.47/31.58 tff(6618,plain,
% 48.47/31.58 (((~![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))),
% 48.47/31.58 inference(rewrite,[status(thm)],[])).
% 48.47/31.58 tff(6619,plain,
% 48.47/31.58 (((~nextState(constB40, constB41)) | (~v90(constB40, bitIndex0)) | v100(constB41) | v90(constB41, bitIndex0)) <=> ((~v90(constB40, bitIndex0)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, bitIndex0))),
% 48.47/31.58 inference(rewrite,[status(thm)],[])).
% 48.47/31.58 tff(6620,plain,
% 48.47/31.58 (((~![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)))),
% 48.47/31.58 inference(monotonicity,[status(thm)],[6619])).
% 48.47/31.58 tff(6621,plain,
% 48.47/31.58 (((~![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))),
% 48.47/31.58 inference(transitivity,[status(thm)],[6620, 6618])).
% 48.47/31.58 tff(6622,plain,
% 48.47/31.58 ((~![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))),
% 48.47/31.58 inference(quant_inst,[status(thm)],[])).
% 48.47/31.58 tff(6623,plain,
% 48.47/31.58 ((~![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)),
% 48.47/31.58 inference(modus_ponens,[status(thm)],[6622, 6621])).
% 48.47/31.58 tff(6624,plain,
% 48.47/31.58 ((~v90(constB40, bitIndex0)) | v100(constB41) | v90(constB41, bitIndex0)),
% 48.47/31.58 inference(unit_resolution,[status(thm)],[6623, 1124, 6543])).
% 48.47/31.58 tff(6625,plain,
% 48.47/31.58 ((~v90(constB40, bitIndex0)) | v90(constB41, bitIndex0)),
% 48.47/31.58 inference(unit_resolution,[status(thm)],[6624, 6555])).
% 48.47/31.58 tff(6626,plain,
% 48.47/31.58 (v90(constB41, bitIndex0)),
% 48.47/31.58 inference(unit_resolution,[status(thm)],[6625, 6617])).
% 48.47/31.58 tff(6627,plain,
% 48.47/31.58 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB41, bitIndex0)) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex2) | v122(constB41))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB41, bitIndex0)) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex2) | v122(constB41))),
% 48.47/31.58 inference(rewrite,[status(thm)],[])).
% 48.47/31.58 tff(6628,plain,
% 48.47/31.58 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB41, bitIndex0)) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex2) | v122(constB41))),
% 48.47/31.58 inference(quant_inst,[status(thm)],[])).
% 48.47/31.58 tff(6629,plain,
% 48.47/31.58 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB41, bitIndex0)) | (~v90(constB41, bitIndex1)) | v90(constB41, bitIndex2) | v122(constB41)),
% 48.47/31.58 inference(modus_ponens,[status(thm)],[6628, 6627])).
% 48.47/31.58 tff(6630,plain,
% 48.47/31.58 (v122(constB41)),
% 48.47/31.58 inference(unit_resolution,[status(thm)],[6629, 1789, 6626, 6595, 6564])).
% 48.47/31.58 tff(6631,plain,
% 48.47/31.58 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB41) | (~v122(constB41)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB41) | (~v122(constB41)))),
% 48.47/31.58 inference(rewrite,[status(thm)],[])).
% 48.47/31.58 tff(6632,plain,
% 48.47/31.58 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB41) | (~v122(constB41)))),
% 48.47/31.58 inference(quant_inst,[status(thm)],[])).
% 48.47/31.58 tff(6633,plain,
% 48.47/31.58 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB41) | (~v122(constB41))),
% 48.47/31.58 inference(modus_ponens,[status(thm)],[6632, 6631])).
% 48.47/31.58 tff(6634,plain,
% 48.47/31.58 (v116(constB41)),
% 48.47/31.58 inference(unit_resolution,[status(thm)],[6633, 1800, 6630])).
% 48.47/31.58 tff(6635,plain,
% 48.47/31.58 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB41) | (~v116(constB41)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB41) | (~v116(constB41)))),
% 48.47/31.59 inference(rewrite,[status(thm)],[])).
% 48.47/31.59 tff(6636,plain,
% 48.47/31.59 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB41) | (~v116(constB41)))),
% 48.47/31.59 inference(quant_inst,[status(thm)],[])).
% 48.47/31.59 tff(6637,plain,
% 48.47/31.59 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB41) | (~v116(constB41))),
% 48.47/31.59 inference(modus_ponens,[status(thm)],[6636, 6635])).
% 48.47/31.59 tff(6638,plain,
% 48.47/31.59 (v115(constB41)),
% 48.47/31.59 inference(unit_resolution,[status(thm)],[6637, 188, 6634])).
% 48.47/31.59 tff(6639,plain,
% 48.47/31.59 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB41) | (~v115(constB41)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB41) | (~v115(constB41)))),
% 48.47/31.59 inference(rewrite,[status(thm)],[])).
% 48.47/31.59 tff(6640,plain,
% 48.47/31.59 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB41) | (~v115(constB41)))),
% 48.47/31.59 inference(quant_inst,[status(thm)],[])).
% 48.47/31.59 tff(6641,plain,
% 48.47/31.59 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB41) | (~v115(constB41))),
% 48.47/31.59 inference(modus_ponens,[status(thm)],[6640, 6639])).
% 48.47/31.59 tff(6642,plain,
% 48.47/31.59 (v114(constB41)),
% 48.47/31.59 inference(unit_resolution,[status(thm)],[6641, 199, 6638])).
% 48.47/31.59 tff(6643,plain,
% 48.47/31.59 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB41) | (~v114(constB41)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB41) | (~v114(constB41)))),
% 48.47/31.59 inference(rewrite,[status(thm)],[])).
% 48.47/31.59 tff(6644,plain,
% 48.47/31.59 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB41) | (~v114(constB41)))),
% 48.47/31.59 inference(quant_inst,[status(thm)],[])).
% 48.47/31.59 tff(6645,plain,
% 48.47/31.59 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB41) | (~v114(constB41))),
% 48.47/31.59 inference(modus_ponens,[status(thm)],[6644, 6643])).
% 48.47/31.59 tff(6646,plain,
% 48.47/31.59 (v113(constB41)),
% 48.47/31.59 inference(unit_resolution,[status(thm)],[6645, 210, 6642])).
% 48.47/31.59 tff(6647,assumption,(v26(constB41)), introduced(assumption)).
% 48.47/31.59 tff(6648,plain,
% 48.47/31.59 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB41))),
% 48.47/31.59 inference(quant_inst,[status(thm)],[])).
% 48.47/31.59 tff(6649,plain,
% 48.47/31.59 ($false),
% 48.47/31.59 inference(unit_resolution,[status(thm)],[6648, 16, 6647])).
% 48.47/31.59 tff(6650,plain,(~v26(constB41)), inference(lemma,lemma(discharge,[]))).
% 48.47/31.59 tff(6651,plain,
% 48.47/31.59 (((~![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))),
% 48.47/31.59 inference(rewrite,[status(thm)],[])).
% 48.47/31.59 tff(6652,plain,
% 48.47/31.59 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB41) | (~v113(constB41)) | v112(constB41))),
% 48.47/31.59 inference(quant_inst,[status(thm)],[])).
% 48.47/31.59 tff(6653,plain,
% 48.47/31.59 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB41) | (~v113(constB41)) | v112(constB41)),
% 48.47/31.59 inference(modus_ponens,[status(thm)],[6652, 6651])).
% 48.47/31.59 tff(6654,plain,
% 48.47/31.59 ((~v113(constB41)) | v112(constB41)),
% 48.47/31.59 inference(unit_resolution,[status(thm)],[6653, 224, 6650])).
% 48.47/31.59 tff(6655,plain,
% 48.47/31.59 (v112(constB41)),
% 48.47/31.59 inference(unit_resolution,[status(thm)],[6654, 6646])).
% 48.47/31.59 tff(6656,plain,
% 48.47/31.59 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB41) | (~v112(constB41)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB41) | (~v112(constB41)))),
% 48.47/31.59 inference(rewrite,[status(thm)],[])).
% 48.47/31.59 tff(6657,plain,
% 48.47/31.59 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB41) | (~v112(constB41)))),
% 48.47/31.59 inference(quant_inst,[status(thm)],[])).
% 48.47/31.59 tff(6658,plain,
% 48.47/31.59 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB41) | (~v112(constB41))),
% 48.47/31.59 inference(modus_ponens,[status(thm)],[6657, 6656])).
% 48.47/31.59 tff(6659,plain,
% 48.47/31.59 (v108(constB41)),
% 48.47/31.59 inference(unit_resolution,[status(thm)],[6658, 236, 6655])).
% 48.47/31.59 tff(6660,plain,
% 48.47/31.59 (nextState(constB41, constB42) <=> nextState(constB41, constB42)),
% 48.47/31.59 inference(rewrite,[status(thm)],[])).
% 48.47/31.59 tff(6661,axiom,(nextState(constB41, constB42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_41_1')).
% 48.47/31.59 tff(6662,plain,
% 48.47/31.59 (nextState(constB41, constB42)),
% 48.47/31.59 inference(modus_ponens,[status(thm)],[6661, 6660])).
% 48.47/31.59 tff(6663,plain,
% 48.47/31.59 (((~![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)))),
% 48.47/31.59 inference(rewrite,[status(thm)],[])).
% 48.47/31.59 tff(6664,plain,
% 48.47/31.59 (((~nextState(constB41, constB42)) | (~v108(constB41)) | v110(constB42)) <=> ((~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41)))),
% 48.47/31.59 inference(rewrite,[status(thm)],[])).
% 48.47/31.59 tff(6665,plain,
% 48.47/31.59 (((~![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))))),
% 48.47/31.59 inference(monotonicity,[status(thm)],[6664])).
% 48.47/31.59 tff(6666,plain,
% 48.47/31.59 (((~![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)))),
% 48.47/31.59 inference(transitivity,[status(thm)],[6665, 6663])).
% 48.47/31.59 tff(6667,plain,
% 48.47/31.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB41, constB42)) | (~v108(constB41)) | v110(constB42))),
% 48.47/31.59 inference(quant_inst,[status(thm)],[])).
% 48.47/31.59 tff(6668,plain,
% 48.47/31.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41))),
% 48.47/31.59 inference(modus_ponens,[status(thm)],[6667, 6666])).
% 48.47/31.59 tff(6669,plain,
% 48.47/31.59 (v110(constB42) | (~v108(constB41))),
% 48.47/31.59 inference(unit_resolution,[status(thm)],[6668, 253, 6662])).
% 48.47/31.59 tff(6670,plain,
% 48.47/31.59 (v110(constB42)),
% 48.47/31.59 inference(unit_resolution,[status(thm)],[6669, 6659])).
% 48.47/31.59 tff(6671,plain,
% 48.47/31.59 (((~![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)))),
% 48.47/31.59 inference(rewrite,[status(thm)],[])).
% 48.47/31.59 tff(6672,plain,
% 48.47/31.59 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB41) | (~nextState(constB41, constB42)) | (~v104(constB42)))),
% 48.47/31.59 inference(quant_inst,[status(thm)],[])).
% 48.47/31.59 tff(6673,plain,
% 48.47/31.59 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB41) | (~nextState(constB41, constB42)) | (~v104(constB42))),
% 48.47/31.59 inference(modus_ponens,[status(thm)],[6672, 6671])).
% 48.47/31.59 tff(6674,plain,
% 48.47/31.59 (~v104(constB42)),
% 48.47/31.59 inference(unit_resolution,[status(thm)],[6673, 271, 6662, 6540])).
% 48.47/31.59 tff(6675,plain,
% 48.47/31.59 (((~![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))),
% 48.47/31.59 inference(rewrite,[status(thm)],[])).
% 48.47/31.59 tff(6676,plain,
% 48.47/31.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB41, constB42)) | v102(constB42) | v104(constB42))),
% 48.47/31.59 inference(quant_inst,[status(thm)],[])).
% 48.47/31.59 tff(6677,plain,
% 48.47/31.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB41, constB42)) | v102(constB42) | v104(constB42)),
% 48.47/31.59 inference(modus_ponens,[status(thm)],[6676, 6675])).
% 48.47/31.59 tff(6678,plain,
% 48.47/31.59 (v102(constB42) | v104(constB42)),
% 48.47/31.59 inference(unit_resolution,[status(thm)],[6677, 285, 6662])).
% 48.47/31.59 tff(6679,plain,
% 48.47/31.59 (v102(constB42)),
% 48.47/31.59 inference(unit_resolution,[status(thm)],[6678, 6674])).
% 48.47/31.59 tff(6680,plain,
% 48.47/31.59 (v1(constB42) <=> v1(constB42)),
% 48.47/31.59 inference(rewrite,[status(thm)],[])).
% 48.47/31.59 tff(6681,axiom,(v1(constB42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_42_1')).
% 48.47/31.59 tff(6682,plain,
% 48.47/31.59 (v1(constB42)),
% 48.47/31.59 inference(modus_ponens,[status(thm)],[6681, 6680])).
% 48.47/31.59 tff(6683,plain,
% 48.47/31.59 (((~![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)))),
% 48.47/31.59 inference(rewrite,[status(thm)],[])).
% 48.47/31.59 tff(6684,plain,
% 48.47/31.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB41, constB42)) | v101(constB42) | (~v102(constB42)) | (~v1(constB42)))),
% 48.47/31.59 inference(quant_inst,[status(thm)],[])).
% 48.47/31.59 tff(6685,plain,
% 48.47/31.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB41, constB42)) | v101(constB42) | (~v102(constB42)) | (~v1(constB42))),
% 48.47/31.59 inference(modus_ponens,[status(thm)],[6684, 6683])).
% 48.47/31.59 tff(6686,plain,
% 48.47/31.59 (v101(constB42) | (~v102(constB42))),
% 48.47/31.59 inference(unit_resolution,[status(thm)],[6685, 303, 6662, 6682])).
% 48.47/31.59 tff(6687,plain,
% 48.47/31.59 (v101(constB42)),
% 48.47/31.59 inference(unit_resolution,[status(thm)],[6686, 6679])).
% 48.47/31.59 tff(6688,plain,
% 48.47/31.59 (((~![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)))),
% 48.47/31.59 inference(rewrite,[status(thm)],[])).
% 48.47/31.59 tff(6689,plain,
% 48.47/31.59 (((~nextState(constB41, constB42)) | (~v101(constB42)) | (~v110(constB42)) | v100(constB42)) <=> ((~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42)))),
% 48.47/31.59 inference(rewrite,[status(thm)],[])).
% 48.47/31.59 tff(6690,plain,
% 48.47/31.59 (((~![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))))),
% 48.47/31.59 inference(monotonicity,[status(thm)],[6689])).
% 48.47/31.59 tff(6691,plain,
% 48.47/31.59 (((~![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)))),
% 48.47/31.59 inference(transitivity,[status(thm)],[6690, 6688])).
% 48.47/31.59 tff(6692,plain,
% 48.47/31.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB41, constB42)) | (~v101(constB42)) | (~v110(constB42)) | v100(constB42))),
% 48.47/31.59 inference(quant_inst,[status(thm)],[])).
% 48.47/31.59 tff(6693,plain,
% 48.47/31.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42))),
% 48.47/31.59 inference(modus_ponens,[status(thm)],[6692, 6691])).
% 48.47/31.59 tff(6694,plain,
% 48.47/31.59 (v100(constB42) | (~v101(constB42)) | (~v110(constB42))),
% 48.47/31.59 inference(unit_resolution,[status(thm)],[6693, 318, 6662])).
% 48.47/31.59 tff(6695,plain,
% 48.47/31.59 (v100(constB42) | (~v110(constB42))),
% 48.47/31.59 inference(unit_resolution,[status(thm)],[6694, 6687])).
% 48.47/31.59 tff(6696,plain,
% 48.47/31.59 (v100(constB42)),
% 48.47/31.59 inference(unit_resolution,[status(thm)],[6695, 6670])).
% 48.47/31.59 tff(6697,plain,
% 48.47/31.59 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB41)) | v130(constB41, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB41)) | v130(constB41, bitIndex2))),
% 48.47/31.59 inference(rewrite,[status(thm)],[])).
% 48.47/31.59 tff(6698,plain,
% 48.47/31.59 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB41)) | v130(constB41, bitIndex2))),
% 48.47/31.59 inference(quant_inst,[status(thm)],[])).
% 48.47/31.59 tff(6699,plain,
% 48.47/31.59 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB41)) | v130(constB41, bitIndex2)),
% 48.47/31.59 inference(modus_ponens,[status(thm)],[6698, 6697])).
% 48.47/31.59 tff(6700,plain,
% 48.47/31.59 (v130(constB41, bitIndex2)),
% 48.47/31.59 inference(unit_resolution,[status(thm)],[6699, 1876, 6630])).
% 48.47/31.59 tff(6701,plain,
% 48.47/31.59 (((~![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))) | v26(constB41) | (~v130(constB41, bitIndex2)) | v127(constB41, bitIndex2))),
% 48.47/31.59 inference(rewrite,[status(thm)],[])).
% 48.47/31.59 tff(6702,plain,
% 48.47/31.59 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB41) | (~v130(constB41, bitIndex2)) | v127(constB41, bitIndex2))),
% 48.47/31.59 inference(quant_inst,[status(thm)],[])).
% 48.47/31.59 tff(6703,plain,
% 48.47/31.59 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB41) | (~v130(constB41, bitIndex2)) | v127(constB41, bitIndex2)),
% 48.47/31.59 inference(modus_ponens,[status(thm)],[6702, 6701])).
% 48.47/31.59 tff(6704,plain,
% 48.47/31.59 ((~v130(constB41, bitIndex2)) | v127(constB41, bitIndex2)),
% 48.47/31.59 inference(unit_resolution,[status(thm)],[6703, 351, 6650])).
% 48.47/31.59 tff(6705,plain,
% 48.47/31.59 (v127(constB41, bitIndex2)),
% 48.47/31.59 inference(unit_resolution,[status(thm)],[6704, 6700])).
% 48.47/31.59 tff(6706,plain,
% 48.47/31.59 (((~![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))),
% 48.47/31.59 inference(rewrite,[status(thm)],[])).
% 48.47/31.59 tff(6707,plain,
% 48.47/31.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB41, constB42)) | (~v127(constB41, bitIndex2)) | v129(constB42, bitIndex2))),
% 48.47/31.59 inference(quant_inst,[status(thm)],[])).
% 48.47/31.59 tff(6708,plain,
% 48.47/31.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB41, constB42)) | (~v127(constB41, bitIndex2)) | v129(constB42, bitIndex2)),
% 48.47/31.59 inference(modus_ponens,[status(thm)],[6707, 6706])).
% 48.47/31.59 tff(6709,plain,
% 48.47/31.59 ((~v127(constB41, bitIndex2)) | v129(constB42, bitIndex2)),
% 48.47/31.59 inference(unit_resolution,[status(thm)],[6708, 366, 6662])).
% 48.47/31.59 tff(6710,plain,
% 48.47/31.59 (v129(constB42, bitIndex2)),
% 48.47/31.59 inference(unit_resolution,[status(thm)],[6709, 6705])).
% 48.47/31.59 tff(6711,plain,
% 48.47/31.59 (((~![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)))),
% 48.47/31.59 inference(rewrite,[status(thm)],[])).
% 48.47/31.59 tff(6712,plain,
% 48.47/31.59 ((v90(constB42, bitIndex2) | (~v100(constB42)) | (~v129(constB42, bitIndex2))) <=> (v90(constB42, bitIndex2) | (~v129(constB42, bitIndex2)) | (~v100(constB42)))),
% 48.47/31.59 inference(rewrite,[status(thm)],[])).
% 48.47/31.59 tff(6713,plain,
% 48.47/31.59 (((~![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))))),
% 48.47/31.59 inference(monotonicity,[status(thm)],[6712])).
% 48.47/31.59 tff(6714,plain,
% 48.47/31.59 (((~![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)))),
% 48.47/31.59 inference(transitivity,[status(thm)],[6713, 6711])).
% 48.47/31.59 tff(6715,plain,
% 48.47/31.59 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB42, bitIndex2) | (~v100(constB42)) | (~v129(constB42, bitIndex2)))),
% 48.47/31.59 inference(quant_inst,[status(thm)],[])).
% 48.47/31.59 tff(6716,plain,
% 48.47/31.59 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB42, bitIndex2) | (~v129(constB42, bitIndex2)) | (~v100(constB42))),
% 48.47/31.59 inference(modus_ponens,[status(thm)],[6715, 6714])).
% 48.47/31.59 tff(6717,plain,
% 48.47/31.59 (v90(constB42, bitIndex2) | (~v100(constB42))),
% 48.47/31.59 inference(unit_resolution,[status(thm)],[6716, 381, 6710])).
% 48.47/31.59 tff(6718,plain,
% 48.47/31.59 (v90(constB42, bitIndex2)),
% 48.47/31.59 inference(unit_resolution,[status(thm)],[6717, 6696])).
% 48.47/31.59 tff(6719,plain,
% 48.47/31.59 ((~v1(constB43)) <=> (~v1(constB43))),
% 48.47/31.59 inference(rewrite,[status(thm)],[])).
% 48.47/31.59 tff(6720,axiom,(~v1(constB43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_43_1_1')).
% 48.47/31.59 tff(6721,plain,
% 48.47/31.59 (~v1(constB43)),
% 48.47/31.59 inference(modus_ponens,[status(thm)],[6720, 6719])).
% 48.47/31.59 tff(6722,plain,
% 48.47/31.59 (nextState(constB42, constB43) <=> nextState(constB42, constB43)),
% 48.47/31.59 inference(rewrite,[status(thm)],[])).
% 48.47/31.59 tff(6723,axiom,(nextState(constB42, constB43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_42_1')).
% 48.47/31.59 tff(6724,plain,
% 48.47/31.59 (nextState(constB42, constB43)),
% 48.47/31.59 inference(modus_ponens,[status(thm)],[6723, 6722])).
% 48.47/31.59 tff(6725,plain,
% 48.47/31.59 (((~![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)))),
% 48.47/31.59 inference(rewrite,[status(thm)],[])).
% 48.47/31.59 tff(6726,plain,
% 48.47/31.59 (((~nextState(constB42, constB43)) | (~v101(constB43)) | v1(constB43)) <=> (v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43)))),
% 48.47/31.59 inference(rewrite,[status(thm)],[])).
% 48.47/31.59 tff(6727,plain,
% 48.47/31.59 (((~![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))))),
% 48.47/31.59 inference(monotonicity,[status(thm)],[6726])).
% 48.47/31.59 tff(6728,plain,
% 48.47/31.59 (((~![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)))),
% 48.47/31.59 inference(transitivity,[status(thm)],[6727, 6725])).
% 48.47/31.59 tff(6729,plain,
% 48.47/31.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB42, constB43)) | (~v101(constB43)) | v1(constB43))),
% 48.47/31.59 inference(quant_inst,[status(thm)],[])).
% 48.47/31.59 tff(6730,plain,
% 48.47/31.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43))),
% 48.47/31.59 inference(modus_ponens,[status(thm)],[6729, 6728])).
% 48.47/31.59 tff(6731,plain,
% 48.47/31.59 (~v101(constB43)),
% 48.47/31.59 inference(unit_resolution,[status(thm)],[6730, 49, 6724, 6721])).
% 48.47/31.59 tff(6732,plain,
% 48.47/31.59 (((~![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)))),
% 48.47/31.59 inference(rewrite,[status(thm)],[])).
% 48.47/31.59 tff(6733,plain,
% 48.47/31.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB42, constB43)) | v101(constB43) | (~v100(constB43)))),
% 48.47/31.59 inference(quant_inst,[status(thm)],[])).
% 48.47/31.59 tff(6734,plain,
% 48.47/31.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB42, constB43)) | v101(constB43) | (~v100(constB43))),
% 48.47/31.59 inference(modus_ponens,[status(thm)],[6733, 6732])).
% 48.47/31.59 tff(6735,plain,
% 48.47/31.59 (v101(constB43) | (~v100(constB43))),
% 48.47/31.59 inference(unit_resolution,[status(thm)],[6734, 66, 6724])).
% 48.47/31.59 tff(6736,plain,
% 48.47/31.59 (~v100(constB43)),
% 48.47/31.59 inference(unit_resolution,[status(thm)],[6735, 6731])).
% 48.47/31.59 tff(6737,plain,
% 48.47/31.59 (((~![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))),
% 48.47/31.59 inference(rewrite,[status(thm)],[])).
% 48.47/31.59 tff(6738,plain,
% 48.47/31.59 (((~nextState(constB42, constB43)) | (~v90(constB42, bitIndex2)) | v100(constB43) | v90(constB43, bitIndex2)) <=> ((~v90(constB42, bitIndex2)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, bitIndex2))),
% 48.47/31.59 inference(rewrite,[status(thm)],[])).
% 48.47/31.59 tff(6739,plain,
% 48.47/31.59 (((~![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)))),
% 48.47/31.59 inference(monotonicity,[status(thm)],[6738])).
% 48.47/31.59 tff(6740,plain,
% 48.47/31.59 (((~![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))),
% 48.47/31.59 inference(transitivity,[status(thm)],[6739, 6737])).
% 48.47/31.59 tff(6741,plain,
% 48.47/31.59 ((~![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))),
% 48.47/31.59 inference(quant_inst,[status(thm)],[])).
% 48.47/31.59 tff(6742,plain,
% 48.47/31.59 ((~![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)),
% 48.47/31.59 inference(modus_ponens,[status(thm)],[6741, 6740])).
% 48.47/31.59 tff(6743,plain,
% 48.47/31.59 ((~v90(constB42, bitIndex2)) | v100(constB43) | v90(constB43, bitIndex2)),
% 48.47/31.59 inference(unit_resolution,[status(thm)],[6742, 417, 6724])).
% 48.47/31.59 tff(6744,plain,
% 48.47/31.59 ((~v90(constB42, bitIndex2)) | v90(constB43, bitIndex2)),
% 48.47/31.59 inference(unit_resolution,[status(thm)],[6743, 6736])).
% 48.47/31.59 tff(6745,plain,
% 48.47/31.59 (v90(constB43, bitIndex2)),
% 48.47/31.59 inference(unit_resolution,[status(thm)],[6744, 6718])).
% 48.47/31.59 tff(6746,plain,
% 48.47/31.59 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB41)) | (~v130(constB41, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB41)) | (~v130(constB41, bitIndex1)))),
% 48.47/31.59 inference(rewrite,[status(thm)],[])).
% 48.47/31.59 tff(6747,plain,
% 48.47/31.59 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB41)) | (~v130(constB41, bitIndex1)))),
% 48.47/31.59 inference(quant_inst,[status(thm)],[])).
% 48.47/31.59 tff(6748,plain,
% 48.47/31.59 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB41)) | (~v130(constB41, bitIndex1))),
% 48.47/31.59 inference(modus_ponens,[status(thm)],[6747, 6746])).
% 48.47/31.59 tff(6749,plain,
% 48.47/31.59 (~v130(constB41, bitIndex1)),
% 48.47/31.59 inference(unit_resolution,[status(thm)],[6748, 1935, 6630])).
% 48.47/31.59 tff(6750,plain,
% 48.47/31.59 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB41, bitIndex1)) | v26(constB41) | v130(constB41, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB41, bitIndex1)) | v26(constB41) | v130(constB41, bitIndex1))),
% 48.47/31.59 inference(rewrite,[status(thm)],[])).
% 48.47/31.59 tff(6751,plain,
% 48.47/31.59 ((v26(constB41) | v130(constB41, bitIndex1) | (~v127(constB41, bitIndex1))) <=> ((~v127(constB41, bitIndex1)) | v26(constB41) | v130(constB41, bitIndex1))),
% 48.47/31.59 inference(rewrite,[status(thm)],[])).
% 48.47/31.59 tff(6752,plain,
% 48.47/31.59 (((~![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)))) | ((~v127(constB41, bitIndex1)) | v26(constB41) | v130(constB41, bitIndex1)))),
% 48.47/31.59 inference(monotonicity,[status(thm)],[6751])).
% 48.47/31.59 tff(6753,plain,
% 48.47/31.59 (((~![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)))) | (~v127(constB41, bitIndex1)) | v26(constB41) | v130(constB41, bitIndex1))),
% 48.47/31.59 inference(transitivity,[status(thm)],[6752, 6750])).
% 48.47/31.59 tff(6754,plain,
% 48.47/31.59 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB41) | v130(constB41, bitIndex1) | (~v127(constB41, bitIndex1)))),
% 48.47/31.59 inference(quant_inst,[status(thm)],[])).
% 48.47/31.59 tff(6755,plain,
% 48.47/31.59 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB41, bitIndex1)) | v26(constB41) | v130(constB41, bitIndex1)),
% 48.47/31.59 inference(modus_ponens,[status(thm)],[6754, 6753])).
% 48.47/31.59 tff(6756,plain,
% 48.47/31.59 ((~v127(constB41, bitIndex1)) | v130(constB41, bitIndex1)),
% 48.47/31.59 inference(unit_resolution,[status(thm)],[6755, 450, 6650])).
% 48.47/31.59 tff(6757,plain,
% 48.47/31.59 (~v127(constB41, bitIndex1)),
% 48.47/31.59 inference(unit_resolution,[status(thm)],[6756, 6749])).
% 48.47/31.59 tff(6758,plain,
% 48.47/31.59 (((~![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)))),
% 48.47/31.59 inference(rewrite,[status(thm)],[])).
% 48.47/31.59 tff(6759,plain,
% 48.47/31.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB41, constB42)) | v127(constB41, bitIndex1) | (~v129(constB42, bitIndex1)))),
% 48.47/31.59 inference(quant_inst,[status(thm)],[])).
% 48.47/31.59 tff(6760,plain,
% 48.47/31.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB41, constB42)) | v127(constB41, bitIndex1) | (~v129(constB42, bitIndex1))),
% 48.47/31.59 inference(modus_ponens,[status(thm)],[6759, 6758])).
% 48.47/31.59 tff(6761,plain,
% 48.47/31.59 (v127(constB41, bitIndex1) | (~v129(constB42, bitIndex1))),
% 48.47/31.59 inference(unit_resolution,[status(thm)],[6760, 468, 6662])).
% 48.47/31.59 tff(6762,plain,
% 48.47/31.59 (~v129(constB42, bitIndex1)),
% 48.47/31.59 inference(unit_resolution,[status(thm)],[6761, 6757])).
% 48.47/31.59 tff(6763,plain,
% 48.47/31.59 (((~![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)))),
% 48.47/31.59 inference(rewrite,[status(thm)],[])).
% 48.47/31.59 tff(6764,plain,
% 48.47/31.59 (((~v90(constB42, bitIndex1)) | (~v100(constB42)) | v129(constB42, bitIndex1)) <=> ((~v90(constB42, bitIndex1)) | v129(constB42, bitIndex1) | (~v100(constB42)))),
% 48.47/31.59 inference(rewrite,[status(thm)],[])).
% 48.47/31.59 tff(6765,plain,
% 48.47/31.59 (((~![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))))),
% 48.47/31.59 inference(monotonicity,[status(thm)],[6764])).
% 48.47/31.59 tff(6766,plain,
% 48.47/31.59 (((~![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)))),
% 48.47/31.59 inference(transitivity,[status(thm)],[6765, 6763])).
% 48.47/31.59 tff(6767,plain,
% 48.47/31.59 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB42, bitIndex1)) | (~v100(constB42)) | v129(constB42, bitIndex1))),
% 48.47/31.59 inference(quant_inst,[status(thm)],[])).
% 48.47/31.59 tff(6768,plain,
% 48.47/31.59 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB42, bitIndex1)) | v129(constB42, bitIndex1) | (~v100(constB42))),
% 48.47/31.59 inference(modus_ponens,[status(thm)],[6767, 6766])).
% 48.47/31.60 tff(6769,plain,
% 48.47/31.60 ((~v90(constB42, bitIndex1)) | (~v100(constB42))),
% 48.47/31.60 inference(unit_resolution,[status(thm)],[6768, 483, 6762])).
% 48.47/31.60 tff(6770,plain,
% 48.47/31.60 (~v90(constB42, bitIndex1)),
% 48.47/31.60 inference(unit_resolution,[status(thm)],[6769, 6696])).
% 48.47/31.60 tff(6771,plain,
% 48.47/31.60 (((~![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)))),
% 48.47/31.60 inference(rewrite,[status(thm)],[])).
% 48.47/31.60 tff(6772,plain,
% 48.47/31.60 (((~nextState(constB42, constB43)) | v90(constB42, bitIndex1) | v100(constB43) | (~v90(constB43, bitIndex1))) <=> (v90(constB42, bitIndex1) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex1)))),
% 48.47/31.60 inference(rewrite,[status(thm)],[])).
% 48.47/31.60 tff(6773,plain,
% 48.47/31.60 (((~![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))))),
% 48.47/31.60 inference(monotonicity,[status(thm)],[6772])).
% 48.47/31.60 tff(6774,plain,
% 48.47/31.60 (((~![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)))),
% 48.47/31.60 inference(transitivity,[status(thm)],[6773, 6771])).
% 48.47/31.60 tff(6775,plain,
% 48.47/31.60 ((~![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)))),
% 48.47/31.60 inference(quant_inst,[status(thm)],[])).
% 48.47/31.60 tff(6776,plain,
% 48.47/31.60 ((~![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))),
% 48.47/31.60 inference(modus_ponens,[status(thm)],[6775, 6774])).
% 48.47/31.60 tff(6777,plain,
% 48.47/31.60 (v90(constB42, bitIndex1) | v100(constB43) | (~v90(constB43, bitIndex1))),
% 48.47/31.60 inference(unit_resolution,[status(thm)],[6776, 102, 6724])).
% 48.47/31.60 tff(6778,plain,
% 48.47/31.60 (v90(constB42, bitIndex1) | (~v90(constB43, bitIndex1))),
% 48.47/31.60 inference(unit_resolution,[status(thm)],[6777, 6736])).
% 48.47/31.60 tff(6779,plain,
% 48.47/31.60 (~v90(constB43, bitIndex1)),
% 48.47/31.60 inference(unit_resolution,[status(thm)],[6778, 6770])).
% 48.47/31.60 tff(6780,plain,
% 48.47/31.60 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB41)) | (~v130(constB41, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB41)) | (~v130(constB41, bitIndex0)))),
% 48.47/31.60 inference(rewrite,[status(thm)],[])).
% 48.47/31.60 tff(6781,plain,
% 48.47/31.60 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB41)) | (~v130(constB41, bitIndex0)))),
% 48.47/31.60 inference(quant_inst,[status(thm)],[])).
% 48.47/31.60 tff(6782,plain,
% 48.47/31.60 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB41)) | (~v130(constB41, bitIndex0))),
% 48.47/31.60 inference(modus_ponens,[status(thm)],[6781, 6780])).
% 48.47/31.60 tff(6783,plain,
% 48.47/31.60 (~v130(constB41, bitIndex0)),
% 48.47/31.60 inference(unit_resolution,[status(thm)],[6782, 1997, 6630])).
% 48.47/31.60 tff(6784,assumption,(v127(constB41, bitIndex0)), introduced(assumption)).
% 48.47/31.60 tff(6785,assumption,(~v130(constB41, bitIndex0)), introduced(assumption)).
% 48.47/31.60 tff(6786,plain,
% 48.47/31.60 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB41, bitIndex0)) | v26(constB41) | v130(constB41, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB41, bitIndex0)) | v26(constB41) | v130(constB41, bitIndex0))),
% 48.47/31.60 inference(rewrite,[status(thm)],[])).
% 48.47/31.60 tff(6787,plain,
% 48.47/31.60 ((v26(constB41) | v130(constB41, bitIndex0) | (~v127(constB41, bitIndex0))) <=> ((~v127(constB41, bitIndex0)) | v26(constB41) | v130(constB41, bitIndex0))),
% 48.47/31.60 inference(rewrite,[status(thm)],[])).
% 48.47/31.60 tff(6788,plain,
% 48.47/31.60 (((~![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)))) | ((~v127(constB41, bitIndex0)) | v26(constB41) | v130(constB41, bitIndex0)))),
% 48.47/31.60 inference(monotonicity,[status(thm)],[6787])).
% 48.47/31.60 tff(6789,plain,
% 48.47/31.60 (((~![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)))) | (~v127(constB41, bitIndex0)) | v26(constB41) | v130(constB41, bitIndex0))),
% 48.47/31.60 inference(transitivity,[status(thm)],[6788, 6786])).
% 48.47/31.60 tff(6790,plain,
% 48.47/31.60 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB41) | v130(constB41, bitIndex0) | (~v127(constB41, bitIndex0)))),
% 48.47/31.60 inference(quant_inst,[status(thm)],[])).
% 48.47/31.60 tff(6791,plain,
% 48.47/31.60 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB41, bitIndex0)) | v26(constB41) | v130(constB41, bitIndex0)),
% 48.47/31.60 inference(modus_ponens,[status(thm)],[6790, 6789])).
% 48.47/31.60 tff(6792,plain,
% 48.47/31.60 ((~v127(constB41, bitIndex0)) | v26(constB41)),
% 48.47/31.60 inference(unit_resolution,[status(thm)],[6791, 524, 6785])).
% 48.47/31.60 tff(6793,plain,
% 48.47/31.60 (v26(constB41)),
% 48.47/31.60 inference(unit_resolution,[status(thm)],[6792, 6784])).
% 48.47/31.60 tff(6794,plain,
% 48.47/31.60 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB41)) | (~v127(constB41, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB41)) | (~v127(constB41, bitIndex0)))),
% 48.47/31.60 inference(rewrite,[status(thm)],[])).
% 48.47/31.60 tff(6795,plain,
% 48.47/31.60 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB41)) | (~v127(constB41, bitIndex0)))),
% 48.47/31.60 inference(quant_inst,[status(thm)],[])).
% 48.47/31.60 tff(6796,plain,
% 48.47/31.60 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB41)) | (~v127(constB41, bitIndex0))),
% 48.47/31.60 inference(modus_ponens,[status(thm)],[6795, 6794])).
% 48.47/31.60 tff(6797,plain,
% 48.47/31.60 ($false),
% 48.47/31.60 inference(unit_resolution,[status(thm)],[6796, 1514, 6784, 6793])).
% 48.47/31.60 tff(6798,plain,((~v127(constB41, bitIndex0)) | v130(constB41, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 48.47/31.60 tff(6799,plain,
% 48.47/31.60 (~v127(constB41, bitIndex0)),
% 48.47/31.60 inference(unit_resolution,[status(thm)],[6798, 6783])).
% 48.47/31.60 tff(6800,plain,
% 48.47/31.60 (((~![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)))),
% 48.47/31.60 inference(rewrite,[status(thm)],[])).
% 48.47/31.60 tff(6801,plain,
% 48.47/31.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB41, constB42)) | v127(constB41, bitIndex0) | (~v129(constB42, bitIndex0)))),
% 48.47/31.60 inference(quant_inst,[status(thm)],[])).
% 48.47/31.60 tff(6802,plain,
% 48.47/31.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB41, constB42)) | v127(constB41, bitIndex0) | (~v129(constB42, bitIndex0))),
% 48.47/31.60 inference(modus_ponens,[status(thm)],[6801, 6800])).
% 48.47/31.60 tff(6803,plain,
% 48.47/31.60 (v127(constB41, bitIndex0) | (~v129(constB42, bitIndex0))),
% 48.47/31.60 inference(unit_resolution,[status(thm)],[6802, 542, 6662])).
% 48.47/31.60 tff(6804,plain,
% 48.47/31.60 (~v129(constB42, bitIndex0)),
% 48.47/31.60 inference(unit_resolution,[status(thm)],[6803, 6799])).
% 48.47/31.60 tff(6805,plain,
% 48.47/31.60 (((~![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)))),
% 48.47/31.60 inference(rewrite,[status(thm)],[])).
% 48.47/31.60 tff(6806,plain,
% 48.47/31.60 (((~v90(constB42, bitIndex0)) | (~v100(constB42)) | v129(constB42, bitIndex0)) <=> ((~v90(constB42, bitIndex0)) | v129(constB42, bitIndex0) | (~v100(constB42)))),
% 48.47/31.60 inference(rewrite,[status(thm)],[])).
% 48.47/31.60 tff(6807,plain,
% 48.47/31.60 (((~![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))))),
% 48.47/31.60 inference(monotonicity,[status(thm)],[6806])).
% 48.47/31.60 tff(6808,plain,
% 48.47/31.60 (((~![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)))),
% 48.47/31.60 inference(transitivity,[status(thm)],[6807, 6805])).
% 48.47/31.60 tff(6809,plain,
% 48.47/31.60 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB42, bitIndex0)) | (~v100(constB42)) | v129(constB42, bitIndex0))),
% 48.47/31.60 inference(quant_inst,[status(thm)],[])).
% 48.47/31.60 tff(6810,plain,
% 48.47/31.60 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB42, bitIndex0)) | v129(constB42, bitIndex0) | (~v100(constB42))),
% 48.47/31.60 inference(modus_ponens,[status(thm)],[6809, 6808])).
% 48.47/31.60 tff(6811,plain,
% 48.47/31.60 ((~v90(constB42, bitIndex0)) | (~v100(constB42))),
% 48.47/31.60 inference(unit_resolution,[status(thm)],[6810, 557, 6804])).
% 48.47/31.60 tff(6812,plain,
% 48.47/31.60 (~v90(constB42, bitIndex0)),
% 48.47/31.60 inference(unit_resolution,[status(thm)],[6811, 6696])).
% 48.47/31.60 tff(6813,plain,
% 48.47/31.60 (((~![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)))),
% 48.47/31.60 inference(rewrite,[status(thm)],[])).
% 48.47/31.60 tff(6814,plain,
% 48.47/31.60 (((~nextState(constB42, constB43)) | v90(constB42, bitIndex0) | v100(constB43) | (~v90(constB43, bitIndex0))) <=> (v90(constB42, bitIndex0) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, bitIndex0)))),
% 48.47/31.60 inference(rewrite,[status(thm)],[])).
% 48.47/31.60 tff(6815,plain,
% 48.47/31.60 (((~![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))))),
% 48.47/31.60 inference(monotonicity,[status(thm)],[6814])).
% 48.47/31.60 tff(6816,plain,
% 48.47/31.60 (((~![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)))),
% 48.47/31.60 inference(transitivity,[status(thm)],[6815, 6813])).
% 48.47/31.60 tff(6817,plain,
% 48.47/31.60 ((~![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)))),
% 48.47/31.60 inference(quant_inst,[status(thm)],[])).
% 48.47/31.60 tff(6818,plain,
% 48.47/31.60 ((~![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))),
% 48.47/31.60 inference(modus_ponens,[status(thm)],[6817, 6816])).
% 48.47/31.60 tff(6819,plain,
% 48.47/31.60 (v90(constB42, bitIndex0) | v100(constB43) | (~v90(constB43, bitIndex0))),
% 48.47/31.60 inference(unit_resolution,[status(thm)],[6818, 123, 6724])).
% 48.47/31.60 tff(6820,plain,
% 48.47/31.60 (v90(constB42, bitIndex0) | (~v90(constB43, bitIndex0))),
% 48.47/31.60 inference(unit_resolution,[status(thm)],[6819, 6736])).
% 48.47/31.60 tff(6821,plain,
% 48.47/31.60 (~v90(constB43, bitIndex0)),
% 48.47/31.60 inference(unit_resolution,[status(thm)],[6820, 6812])).
% 48.47/31.60 tff(6822,plain,
% 48.47/31.60 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB43, bitIndex0) | v90(constB43, bitIndex1) | (~v90(constB43, bitIndex2)) | v123(constB43))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB43, bitIndex0) | v90(constB43, bitIndex1) | (~v90(constB43, bitIndex2)) | v123(constB43))),
% 48.47/31.60 inference(rewrite,[status(thm)],[])).
% 48.47/31.60 tff(6823,plain,
% 48.47/31.60 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB43, bitIndex0) | v90(constB43, bitIndex1) | (~v90(constB43, bitIndex2)) | v123(constB43))),
% 48.47/31.60 inference(quant_inst,[status(thm)],[])).
% 48.47/31.60 tff(6824,plain,
% 48.47/31.60 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB43, bitIndex0) | v90(constB43, bitIndex1) | (~v90(constB43, bitIndex2)) | v123(constB43)),
% 48.47/31.60 inference(modus_ponens,[status(thm)],[6823, 6822])).
% 48.47/31.60 tff(6825,plain,
% 48.47/31.60 (v123(constB43)),
% 48.47/31.60 inference(unit_resolution,[status(thm)],[6824, 584, 6821, 6779, 6745])).
% 48.47/31.60 tff(6826,plain,
% 48.47/31.60 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB43)) | v130(constB43, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB43)) | v130(constB43, bitIndex2))),
% 48.47/31.60 inference(rewrite,[status(thm)],[])).
% 48.47/31.60 tff(6827,plain,
% 48.47/31.60 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB43)) | v130(constB43, bitIndex2))),
% 48.47/31.60 inference(quant_inst,[status(thm)],[])).
% 48.47/31.60 tff(6828,plain,
% 48.47/31.60 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB43)) | v130(constB43, bitIndex2)),
% 48.47/31.60 inference(modus_ponens,[status(thm)],[6827, 6826])).
% 48.47/31.60 tff(6829,plain,
% 48.47/31.60 (v130(constB43, bitIndex2)),
% 48.47/31.60 inference(unit_resolution,[status(thm)],[6828, 836, 6825])).
% 48.47/31.60 tff(6830,assumption,(v26(constB43)), introduced(assumption)).
% 48.47/31.60 tff(6831,plain,
% 48.47/31.60 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB43))),
% 48.47/31.60 inference(quant_inst,[status(thm)],[])).
% 48.47/31.60 tff(6832,plain,
% 48.47/31.60 ($false),
% 48.47/31.60 inference(unit_resolution,[status(thm)],[6831, 16, 6830])).
% 48.47/31.60 tff(6833,plain,(~v26(constB43)), inference(lemma,lemma(discharge,[]))).
% 48.47/31.60 tff(6834,plain,
% 48.47/31.60 (((~![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))),
% 48.47/31.60 inference(rewrite,[status(thm)],[])).
% 48.47/31.60 tff(6835,plain,
% 48.47/31.60 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB43) | (~v130(constB43, bitIndex2)) | v127(constB43, bitIndex2))),
% 48.47/31.60 inference(quant_inst,[status(thm)],[])).
% 48.47/31.60 tff(6836,plain,
% 48.47/31.60 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB43) | (~v130(constB43, bitIndex2)) | v127(constB43, bitIndex2)),
% 48.47/31.60 inference(modus_ponens,[status(thm)],[6835, 6834])).
% 48.47/31.60 tff(6837,plain,
% 48.47/31.60 ((~v130(constB43, bitIndex2)) | v127(constB43, bitIndex2)),
% 48.47/31.60 inference(unit_resolution,[status(thm)],[6836, 351, 6833])).
% 48.47/31.60 tff(6838,plain,
% 48.47/31.60 (v127(constB43, bitIndex2)),
% 48.47/31.60 inference(unit_resolution,[status(thm)],[6837, 6829])).
% 48.47/31.60 tff(6839,plain,
% 48.47/31.60 (nextState(constB43, constB44) <=> nextState(constB43, constB44)),
% 48.47/31.60 inference(rewrite,[status(thm)],[])).
% 48.47/31.60 tff(6840,axiom,(nextState(constB43, constB44)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_43_1')).
% 48.47/31.60 tff(6841,plain,
% 48.47/31.60 (nextState(constB43, constB44)),
% 48.47/31.60 inference(modus_ponens,[status(thm)],[6840, 6839])).
% 48.47/31.60 tff(6842,plain,
% 48.47/31.60 (((~![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))),
% 48.47/31.60 inference(rewrite,[status(thm)],[])).
% 48.47/31.60 tff(6843,plain,
% 48.47/31.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB43, constB44)) | (~v127(constB43, bitIndex2)) | v129(constB44, bitIndex2))),
% 48.47/31.60 inference(quant_inst,[status(thm)],[])).
% 48.47/31.60 tff(6844,plain,
% 48.47/31.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB43, constB44)) | (~v127(constB43, bitIndex2)) | v129(constB44, bitIndex2)),
% 48.47/31.60 inference(modus_ponens,[status(thm)],[6843, 6842])).
% 48.47/31.60 tff(6845,plain,
% 48.47/31.60 ((~v127(constB43, bitIndex2)) | v129(constB44, bitIndex2)),
% 48.47/31.60 inference(unit_resolution,[status(thm)],[6844, 366, 6841])).
% 48.47/31.60 tff(6846,plain,
% 48.47/31.60 (v129(constB44, bitIndex2)),
% 48.47/31.60 inference(unit_resolution,[status(thm)],[6845, 6838])).
% 48.47/31.60 tff(6847,assumption,(~v90(constB43, bitIndex0)), introduced(assumption)).
% 48.47/31.60 tff(6848,assumption,(~v108(constB43)), introduced(assumption)).
% 48.47/31.60 tff(6849,plain,
% 48.47/31.60 (((~![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))),
% 48.47/31.60 inference(rewrite,[status(thm)],[])).
% 48.47/31.60 tff(6850,plain,
% 48.47/31.60 (((~nextState(constB43, constB44)) | v108(constB43) | (~v110(constB44))) <=> ((~nextState(constB43, constB44)) | (~v110(constB44)) | v108(constB43))),
% 48.47/31.60 inference(rewrite,[status(thm)],[])).
% 48.47/31.60 tff(6851,plain,
% 48.47/31.60 (((~![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)))),
% 48.47/31.60 inference(monotonicity,[status(thm)],[6850])).
% 48.47/31.60 tff(6852,plain,
% 48.47/31.60 (((~![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))),
% 48.47/31.60 inference(transitivity,[status(thm)],[6851, 6849])).
% 48.47/31.60 tff(6853,plain,
% 48.47/31.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB43, constB44)) | v108(constB43) | (~v110(constB44)))),
% 48.47/31.60 inference(quant_inst,[status(thm)],[])).
% 48.47/31.60 tff(6854,plain,
% 48.47/31.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB43, constB44)) | (~v110(constB44)) | v108(constB43)),
% 48.47/31.60 inference(modus_ponens,[status(thm)],[6853, 6852])).
% 48.47/31.60 tff(6855,plain,
% 48.47/31.60 ((~v110(constB44)) | v108(constB43)),
% 48.47/31.60 inference(unit_resolution,[status(thm)],[6854, 3199, 6841])).
% 48.47/31.60 tff(6856,plain,
% 48.47/31.60 (~v110(constB44)),
% 48.47/31.60 inference(unit_resolution,[status(thm)],[6855, 6848])).
% 48.47/31.60 tff(6857,plain,
% 48.47/31.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB43, constB44)) | v110(constB44) | (~v100(constB44)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB43, constB44)) | v110(constB44) | (~v100(constB44)))),
% 48.47/31.60 inference(rewrite,[status(thm)],[])).
% 48.47/31.60 tff(6858,plain,
% 48.47/31.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB43, constB44)) | v110(constB44) | (~v100(constB44)))),
% 48.47/31.60 inference(quant_inst,[status(thm)],[])).
% 48.47/31.60 tff(6859,plain,
% 48.47/31.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB43, constB44)) | v110(constB44) | (~v100(constB44))),
% 48.47/31.60 inference(modus_ponens,[status(thm)],[6858, 6857])).
% 48.47/31.60 tff(6860,plain,
% 48.47/31.60 (v110(constB44) | (~v100(constB44))),
% 48.47/31.60 inference(unit_resolution,[status(thm)],[6859, 3184, 6841])).
% 48.47/31.60 tff(6861,plain,
% 48.47/31.60 (~v100(constB44)),
% 48.47/31.60 inference(unit_resolution,[status(thm)],[6860, 6856])).
% 48.47/31.60 tff(6862,assumption,(~v90(constB44, bitIndex1)), introduced(assumption)).
% 48.47/31.60 tff(6863,plain,
% 48.47/31.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB43, bitIndex1)) | (~nextState(constB43, constB44)) | v100(constB44) | v90(constB44, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB43, bitIndex1)) | (~nextState(constB43, constB44)) | v100(constB44) | v90(constB44, bitIndex1))),
% 48.47/31.60 inference(rewrite,[status(thm)],[])).
% 48.47/31.60 tff(6864,plain,
% 48.47/31.60 (((~nextState(constB43, constB44)) | (~v90(constB43, bitIndex1)) | v100(constB44) | v90(constB44, bitIndex1)) <=> ((~v90(constB43, bitIndex1)) | (~nextState(constB43, constB44)) | v100(constB44) | v90(constB44, bitIndex1))),
% 48.47/31.60 inference(rewrite,[status(thm)],[])).
% 48.47/31.60 tff(6865,plain,
% 48.47/31.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB43, constB44)) | (~v90(constB43, bitIndex1)) | v100(constB44) | v90(constB44, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB43, bitIndex1)) | (~nextState(constB43, constB44)) | v100(constB44) | v90(constB44, bitIndex1)))),
% 48.47/31.60 inference(monotonicity,[status(thm)],[6864])).
% 48.47/31.60 tff(6866,plain,
% 48.47/31.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB43, constB44)) | (~v90(constB43, bitIndex1)) | v100(constB44) | v90(constB44, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB43, bitIndex1)) | (~nextState(constB43, constB44)) | v100(constB44) | v90(constB44, bitIndex1))),
% 48.47/31.60 inference(transitivity,[status(thm)],[6865, 6863])).
% 48.47/31.60 tff(6867,plain,
% 48.47/31.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB43, constB44)) | (~v90(constB43, bitIndex1)) | v100(constB44) | v90(constB44, bitIndex1))),
% 48.47/31.60 inference(quant_inst,[status(thm)],[])).
% 48.47/31.60 tff(6868,plain,
% 48.47/31.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB43, bitIndex1)) | (~nextState(constB43, constB44)) | v100(constB44) | v90(constB44, bitIndex1)),
% 48.47/31.60 inference(modus_ponens,[status(thm)],[6867, 6866])).
% 48.47/31.60 tff(6869,plain,
% 48.47/31.60 ((~v90(constB43, bitIndex1)) | v100(constB44) | v90(constB44, bitIndex1)),
% 48.47/31.60 inference(unit_resolution,[status(thm)],[6868, 747, 6841])).
% 48.47/31.60 tff(6870,plain,
% 48.47/31.60 (~v90(constB43, bitIndex1)),
% 48.47/31.60 inference(unit_resolution,[status(thm)],[6869, 6862, 6861])).
% 48.47/31.60 tff(6871,plain,
% 48.47/31.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB43, bitIndex0) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB43, bitIndex0) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex0)))),
% 48.47/31.60 inference(rewrite,[status(thm)],[])).
% 48.47/31.60 tff(6872,plain,
% 48.47/31.60 (((~nextState(constB43, constB44)) | v90(constB43, bitIndex0) | v100(constB44) | (~v90(constB44, bitIndex0))) <=> (v90(constB43, bitIndex0) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex0)))),
% 48.47/31.60 inference(rewrite,[status(thm)],[])).
% 48.47/31.60 tff(6873,plain,
% 48.47/31.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB43, constB44)) | v90(constB43, bitIndex0) | v100(constB44) | (~v90(constB44, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB43, bitIndex0) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex0))))),
% 48.47/31.60 inference(monotonicity,[status(thm)],[6872])).
% 48.47/31.60 tff(6874,plain,
% 48.47/31.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB43, constB44)) | v90(constB43, bitIndex0) | v100(constB44) | (~v90(constB44, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB43, bitIndex0) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex0)))),
% 48.47/31.60 inference(transitivity,[status(thm)],[6873, 6871])).
% 48.47/31.60 tff(6875,plain,
% 48.47/31.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB43, constB44)) | v90(constB43, bitIndex0) | v100(constB44) | (~v90(constB44, bitIndex0)))),
% 48.47/31.60 inference(quant_inst,[status(thm)],[])).
% 48.47/31.60 tff(6876,plain,
% 48.47/31.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB43, bitIndex0) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex0))),
% 48.47/31.60 inference(modus_ponens,[status(thm)],[6875, 6874])).
% 48.47/31.60 tff(6877,plain,
% 48.47/31.60 (v90(constB43, bitIndex0) | v100(constB44) | (~v90(constB44, bitIndex0))),
% 48.47/31.60 inference(unit_resolution,[status(thm)],[6876, 123, 6841])).
% 48.47/31.60 tff(6878,plain,
% 48.47/31.60 (~v90(constB44, bitIndex0)),
% 48.47/31.60 inference(unit_resolution,[status(thm)],[6877, 6847, 6861])).
% 48.47/31.60 tff(6879,plain,
% 48.47/31.60 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB43) | (~v112(constB43)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB43) | (~v112(constB43)))),
% 48.47/31.60 inference(rewrite,[status(thm)],[])).
% 48.47/31.60 tff(6880,plain,
% 48.47/31.60 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB43) | (~v112(constB43)))),
% 48.47/31.60 inference(quant_inst,[status(thm)],[])).
% 48.47/31.60 tff(6881,plain,
% 48.47/31.60 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB43) | (~v112(constB43))),
% 48.47/31.60 inference(modus_ponens,[status(thm)],[6880, 6879])).
% 48.47/31.60 tff(6882,plain,
% 48.47/31.60 (~v112(constB43)),
% 48.47/31.60 inference(unit_resolution,[status(thm)],[6881, 236, 6848])).
% 48.47/31.60 tff(6883,plain,
% 48.47/31.60 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB43) | (~v26(constB43)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB43) | (~v26(constB43)))),
% 48.47/31.60 inference(rewrite,[status(thm)],[])).
% 48.47/31.60 tff(6884,plain,
% 48.47/31.60 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB43) | (~v26(constB43)))),
% 48.47/31.60 inference(quant_inst,[status(thm)],[])).
% 48.47/31.60 tff(6885,plain,
% 48.47/31.60 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB43) | (~v26(constB43))),
% 48.47/31.60 inference(modus_ponens,[status(thm)],[6884, 6883])).
% 48.47/31.60 tff(6886,plain,
% 48.47/31.60 (~v26(constB43)),
% 48.47/31.60 inference(unit_resolution,[status(thm)],[6885, 961, 6848])).
% 48.47/31.60 tff(6887,assumption,(v113(constB43)), introduced(assumption)).
% 48.47/31.60 tff(6888,plain,
% 48.47/31.60 (((~![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)))),
% 48.47/31.60 inference(rewrite,[status(thm)],[])).
% 48.47/31.60 tff(6889,plain,
% 48.47/31.60 ((v26(constB43) | (~v113(constB43)) | v112(constB43)) <=> (v26(constB43) | v112(constB43) | (~v113(constB43)))),
% 48.47/31.60 inference(rewrite,[status(thm)],[])).
% 48.47/31.60 tff(6890,plain,
% 48.47/31.60 (((~![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))))),
% 48.47/31.60 inference(monotonicity,[status(thm)],[6889])).
% 48.47/31.60 tff(6891,plain,
% 48.47/31.60 (((~![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)))),
% 48.47/31.60 inference(transitivity,[status(thm)],[6890, 6888])).
% 48.47/31.60 tff(6892,plain,
% 48.47/31.60 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB43) | (~v113(constB43)) | v112(constB43))),
% 48.47/31.60 inference(quant_inst,[status(thm)],[])).
% 48.47/31.60 tff(6893,plain,
% 48.47/31.60 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB43) | v112(constB43) | (~v113(constB43))),
% 48.47/31.60 inference(modus_ponens,[status(thm)],[6892, 6891])).
% 48.47/31.60 tff(6894,plain,
% 48.47/31.60 (v26(constB43) | v112(constB43)),
% 48.47/31.60 inference(unit_resolution,[status(thm)],[6893, 224, 6887])).
% 48.47/31.60 tff(6895,plain,
% 48.47/31.60 ($false),
% 48.47/31.60 inference(unit_resolution,[status(thm)],[6894, 6886, 6882])).
% 48.47/31.60 tff(6896,plain,(v108(constB43) | (~v113(constB43))), inference(lemma,lemma(discharge,[]))).
% 48.47/31.60 tff(6897,plain,
% 48.47/31.60 (~v113(constB43)),
% 48.47/31.60 inference(unit_resolution,[status(thm)],[6896, 6848])).
% 48.47/31.60 tff(6898,plain,
% 48.47/31.60 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB43) | (~v114(constB43)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB43) | (~v114(constB43)))),
% 48.47/31.60 inference(rewrite,[status(thm)],[])).
% 48.47/31.60 tff(6899,plain,
% 48.47/31.60 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB43) | (~v114(constB43)))),
% 48.47/31.60 inference(quant_inst,[status(thm)],[])).
% 48.47/31.60 tff(6900,plain,
% 48.47/31.60 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB43) | (~v114(constB43))),
% 48.47/31.60 inference(modus_ponens,[status(thm)],[6899, 6898])).
% 48.47/31.61 tff(6901,plain,
% 48.47/31.61 (~v114(constB43)),
% 48.47/31.61 inference(unit_resolution,[status(thm)],[6900, 210, 6897])).
% 48.47/31.61 tff(6902,plain,
% 48.47/31.61 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB43) | (~v115(constB43)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB43) | (~v115(constB43)))),
% 48.47/31.61 inference(rewrite,[status(thm)],[])).
% 48.47/31.61 tff(6903,plain,
% 48.47/31.61 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB43) | (~v115(constB43)))),
% 48.47/31.61 inference(quant_inst,[status(thm)],[])).
% 48.47/31.61 tff(6904,plain,
% 48.47/31.61 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB43) | (~v115(constB43))),
% 48.47/31.61 inference(modus_ponens,[status(thm)],[6903, 6902])).
% 48.47/31.61 tff(6905,plain,
% 48.47/31.61 (~v115(constB43)),
% 48.47/31.61 inference(unit_resolution,[status(thm)],[6904, 199, 6901])).
% 48.47/31.61 tff(6906,plain,
% 48.47/31.61 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB43) | (~v116(constB43)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB43) | (~v116(constB43)))),
% 48.47/31.61 inference(rewrite,[status(thm)],[])).
% 48.47/31.61 tff(6907,plain,
% 48.47/31.61 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB43) | (~v116(constB43)))),
% 48.47/31.61 inference(quant_inst,[status(thm)],[])).
% 48.47/31.61 tff(6908,plain,
% 48.47/31.61 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB43) | (~v116(constB43))),
% 48.47/31.61 inference(modus_ponens,[status(thm)],[6907, 6906])).
% 48.47/31.61 tff(6909,plain,
% 48.47/31.61 (~v116(constB43)),
% 48.47/31.61 inference(unit_resolution,[status(thm)],[6908, 188, 6905])).
% 48.47/31.61 tff(6910,assumption,(~v90(constB44, bitIndex2)), introduced(assumption)).
% 48.47/31.61 tff(6911,plain,
% 48.47/31.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB43, bitIndex2)) | (~nextState(constB43, constB44)) | v100(constB44) | v90(constB44, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB43, bitIndex2)) | (~nextState(constB43, constB44)) | v100(constB44) | v90(constB44, bitIndex2))),
% 48.47/31.61 inference(rewrite,[status(thm)],[])).
% 48.47/31.61 tff(6912,plain,
% 48.47/31.61 (((~nextState(constB43, constB44)) | (~v90(constB43, bitIndex2)) | v100(constB44) | v90(constB44, bitIndex2)) <=> ((~v90(constB43, bitIndex2)) | (~nextState(constB43, constB44)) | v100(constB44) | v90(constB44, bitIndex2))),
% 48.47/31.61 inference(rewrite,[status(thm)],[])).
% 48.47/31.61 tff(6913,plain,
% 48.47/31.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB43, constB44)) | (~v90(constB43, bitIndex2)) | v100(constB44) | v90(constB44, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB43, bitIndex2)) | (~nextState(constB43, constB44)) | v100(constB44) | v90(constB44, bitIndex2)))),
% 48.47/31.61 inference(monotonicity,[status(thm)],[6912])).
% 48.47/31.61 tff(6914,plain,
% 48.47/31.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB43, constB44)) | (~v90(constB43, bitIndex2)) | v100(constB44) | v90(constB44, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB43, bitIndex2)) | (~nextState(constB43, constB44)) | v100(constB44) | v90(constB44, bitIndex2))),
% 48.47/31.61 inference(transitivity,[status(thm)],[6913, 6911])).
% 48.47/31.61 tff(6915,plain,
% 48.47/31.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB43, constB44)) | (~v90(constB43, bitIndex2)) | v100(constB44) | v90(constB44, bitIndex2))),
% 48.47/31.61 inference(quant_inst,[status(thm)],[])).
% 48.47/31.61 tff(6916,plain,
% 48.47/31.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB43, bitIndex2)) | (~nextState(constB43, constB44)) | v100(constB44) | v90(constB44, bitIndex2)),
% 48.47/31.61 inference(modus_ponens,[status(thm)],[6915, 6914])).
% 48.47/31.61 tff(6917,plain,
% 48.47/31.61 ((~v90(constB43, bitIndex2)) | v100(constB44) | v90(constB44, bitIndex2)),
% 48.47/31.61 inference(unit_resolution,[status(thm)],[6916, 417, 6841])).
% 48.47/31.61 tff(6918,plain,
% 48.47/31.61 (~v90(constB43, bitIndex2)),
% 48.47/31.61 inference(unit_resolution,[status(thm)],[6917, 6861, 6910])).
% 48.47/31.61 tff(6919,plain,
% 48.47/31.61 (~v90(constB43, bitIndex1)),
% 48.47/31.61 inference(unit_resolution,[status(thm)],[6869, 6861, 6862])).
% 48.47/31.61 tff(6920,assumption,(~v90(constB44, bitIndex0)), introduced(assumption)).
% 48.47/31.61 tff(6921,plain,
% 48.47/31.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB43, bitIndex0)) | (~nextState(constB43, constB44)) | v100(constB44) | v90(constB44, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB43, bitIndex0)) | (~nextState(constB43, constB44)) | v100(constB44) | v90(constB44, bitIndex0))),
% 48.47/31.61 inference(rewrite,[status(thm)],[])).
% 48.47/31.61 tff(6922,plain,
% 48.47/31.61 (((~nextState(constB43, constB44)) | (~v90(constB43, bitIndex0)) | v100(constB44) | v90(constB44, bitIndex0)) <=> ((~v90(constB43, bitIndex0)) | (~nextState(constB43, constB44)) | v100(constB44) | v90(constB44, bitIndex0))),
% 48.47/31.61 inference(rewrite,[status(thm)],[])).
% 48.47/31.61 tff(6923,plain,
% 48.47/31.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB43, constB44)) | (~v90(constB43, bitIndex0)) | v100(constB44) | v90(constB44, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB43, bitIndex0)) | (~nextState(constB43, constB44)) | v100(constB44) | v90(constB44, bitIndex0)))),
% 48.47/31.61 inference(monotonicity,[status(thm)],[6922])).
% 48.47/31.61 tff(6924,plain,
% 48.47/31.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB43, constB44)) | (~v90(constB43, bitIndex0)) | v100(constB44) | v90(constB44, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB43, bitIndex0)) | (~nextState(constB43, constB44)) | v100(constB44) | v90(constB44, bitIndex0))),
% 48.47/31.61 inference(transitivity,[status(thm)],[6923, 6921])).
% 48.47/31.61 tff(6925,plain,
% 48.47/31.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB43, constB44)) | (~v90(constB43, bitIndex0)) | v100(constB44) | v90(constB44, bitIndex0))),
% 48.47/31.61 inference(quant_inst,[status(thm)],[])).
% 48.47/31.61 tff(6926,plain,
% 48.47/31.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB43, bitIndex0)) | (~nextState(constB43, constB44)) | v100(constB44) | v90(constB44, bitIndex0)),
% 48.47/31.61 inference(modus_ponens,[status(thm)],[6925, 6924])).
% 48.47/31.61 tff(6927,plain,
% 48.47/31.61 ((~v90(constB43, bitIndex0)) | v100(constB44) | v90(constB44, bitIndex0)),
% 48.47/31.61 inference(unit_resolution,[status(thm)],[6926, 1124, 6841])).
% 48.47/31.61 tff(6928,plain,
% 48.47/31.61 (~v90(constB43, bitIndex0)),
% 48.47/31.61 inference(unit_resolution,[status(thm)],[6927, 6861, 6920])).
% 48.47/31.61 tff(6929,plain,
% 48.47/31.61 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB43) | v90(constB43, bitIndex0) | v90(constB43, bitIndex1) | v90(constB43, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB43) | v90(constB43, bitIndex0) | v90(constB43, bitIndex1) | v90(constB43, bitIndex2))),
% 48.47/31.61 inference(rewrite,[status(thm)],[])).
% 48.47/31.61 tff(6930,plain,
% 48.47/31.61 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB43) | v90(constB43, bitIndex0) | v90(constB43, bitIndex1) | v90(constB43, bitIndex2))),
% 48.47/31.61 inference(quant_inst,[status(thm)],[])).
% 48.47/31.61 tff(6931,plain,
% 48.47/31.61 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB43) | v90(constB43, bitIndex0) | v90(constB43, bitIndex1) | v90(constB43, bitIndex2)),
% 48.47/31.61 inference(modus_ponens,[status(thm)],[6930, 6929])).
% 48.47/31.61 tff(6932,plain,
% 48.47/31.61 (v119(constB43)),
% 48.47/31.61 inference(unit_resolution,[status(thm)],[6931, 144, 6928, 6919, 6918])).
% 48.47/31.61 tff(6933,plain,
% 48.47/31.61 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB43) | (~v119(constB43)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB43) | (~v119(constB43)))),
% 48.47/31.61 inference(rewrite,[status(thm)],[])).
% 48.47/31.61 tff(6934,plain,
% 48.47/31.61 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB43) | (~v119(constB43)))),
% 48.47/31.61 inference(quant_inst,[status(thm)],[])).
% 48.47/31.61 tff(6935,plain,
% 48.47/31.61 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB43) | (~v119(constB43))),
% 48.47/31.61 inference(modus_ponens,[status(thm)],[6934, 6933])).
% 48.47/31.61 tff(6936,plain,
% 48.47/31.61 (v118(constB43)),
% 48.47/31.61 inference(unit_resolution,[status(thm)],[6935, 155, 6932])).
% 48.47/31.61 tff(6937,plain,
% 48.47/31.61 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB43) | (~v118(constB43)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB43) | (~v118(constB43)))),
% 48.47/31.61 inference(rewrite,[status(thm)],[])).
% 48.47/31.61 tff(6938,plain,
% 48.47/31.61 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB43) | (~v118(constB43)))),
% 48.47/31.61 inference(quant_inst,[status(thm)],[])).
% 48.47/31.61 tff(6939,plain,
% 48.47/31.61 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB43) | (~v118(constB43))),
% 48.47/31.61 inference(modus_ponens,[status(thm)],[6938, 6937])).
% 48.47/31.61 tff(6940,plain,
% 48.47/31.61 (v117(constB43)),
% 48.47/31.61 inference(unit_resolution,[status(thm)],[6939, 166, 6936])).
% 48.47/31.61 tff(6941,plain,
% 48.47/31.61 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB43) | (~v117(constB43)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB43) | (~v117(constB43)))),
% 48.47/31.61 inference(rewrite,[status(thm)],[])).
% 48.47/31.61 tff(6942,plain,
% 48.47/31.61 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB43) | (~v117(constB43)))),
% 48.47/31.61 inference(quant_inst,[status(thm)],[])).
% 48.47/31.61 tff(6943,plain,
% 48.47/31.61 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB43) | (~v117(constB43))),
% 48.47/31.61 inference(modus_ponens,[status(thm)],[6942, 6941])).
% 48.47/31.61 tff(6944,plain,
% 48.47/31.61 ($false),
% 48.47/31.61 inference(unit_resolution,[status(thm)],[6943, 177, 6940, 6909])).
% 48.47/31.61 tff(6945,plain,(v108(constB43) | v90(constB44, bitIndex1) | v90(constB44, bitIndex0) | v90(constB44, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 48.47/31.61 tff(6946,plain,
% 48.47/31.61 (v90(constB44, bitIndex2)),
% 48.47/31.61 inference(unit_resolution,[status(thm)],[6945, 6862, 6848, 6878])).
% 48.47/31.61 tff(6947,plain,
% 48.47/31.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB43, bitIndex2) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB43, bitIndex2) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex2)))),
% 48.47/31.61 inference(rewrite,[status(thm)],[])).
% 48.47/31.61 tff(6948,plain,
% 48.47/31.61 (((~nextState(constB43, constB44)) | v90(constB43, bitIndex2) | v100(constB44) | (~v90(constB44, bitIndex2))) <=> (v90(constB43, bitIndex2) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex2)))),
% 48.47/31.61 inference(rewrite,[status(thm)],[])).
% 48.47/31.61 tff(6949,plain,
% 48.47/31.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB43, constB44)) | v90(constB43, bitIndex2) | v100(constB44) | (~v90(constB44, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB43, bitIndex2) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex2))))),
% 48.47/31.61 inference(monotonicity,[status(thm)],[6948])).
% 48.47/31.61 tff(6950,plain,
% 48.47/31.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB43, constB44)) | v90(constB43, bitIndex2) | v100(constB44) | (~v90(constB44, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB43, bitIndex2) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex2)))),
% 48.47/31.61 inference(transitivity,[status(thm)],[6949, 6947])).
% 48.47/31.61 tff(6951,plain,
% 48.47/31.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB43, constB44)) | v90(constB43, bitIndex2) | v100(constB44) | (~v90(constB44, bitIndex2)))),
% 48.47/31.61 inference(quant_inst,[status(thm)],[])).
% 48.47/31.61 tff(6952,plain,
% 48.47/31.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB43, bitIndex2) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex2))),
% 48.47/31.61 inference(modus_ponens,[status(thm)],[6951, 6950])).
% 48.47/31.61 tff(6953,plain,
% 48.47/31.61 (v90(constB43, bitIndex2) | v100(constB44) | (~v90(constB44, bitIndex2))),
% 48.47/31.61 inference(unit_resolution,[status(thm)],[6952, 81, 6841])).
% 48.47/31.61 tff(6954,plain,
% 48.47/31.61 (v90(constB43, bitIndex2)),
% 48.47/31.61 inference(unit_resolution,[status(thm)],[6953, 6946, 6861])).
% 48.47/31.61 tff(6955,plain,
% 48.47/31.61 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB43) | (~v123(constB43)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB43) | (~v123(constB43)))),
% 48.47/31.61 inference(rewrite,[status(thm)],[])).
% 48.47/31.61 tff(6956,plain,
% 48.47/31.61 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB43) | (~v123(constB43)))),
% 48.47/31.61 inference(quant_inst,[status(thm)],[])).
% 48.47/31.61 tff(6957,plain,
% 48.47/31.61 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB43) | (~v123(constB43))),
% 48.47/31.61 inference(modus_ponens,[status(thm)],[6956, 6955])).
% 48.47/31.61 tff(6958,plain,
% 48.47/31.61 (~v123(constB43)),
% 48.47/31.61 inference(unit_resolution,[status(thm)],[6957, 595, 6905])).
% 48.47/31.61 tff(6959,plain,
% 48.47/31.61 (v90(constB43, bitIndex0) | v90(constB43, bitIndex1) | (~v90(constB43, bitIndex2))),
% 48.47/31.61 inference(unit_resolution,[status(thm)],[6824, 584, 6958])).
% 48.47/31.61 tff(6960,plain,
% 48.47/31.61 ($false),
% 48.47/31.61 inference(unit_resolution,[status(thm)],[6959, 6954, 6870, 6847])).
% 48.47/31.61 tff(6961,plain,(v90(constB44, bitIndex1) | v90(constB43, bitIndex0) | v108(constB43)), inference(lemma,lemma(discharge,[]))).
% 48.47/31.61 tff(6962,plain,
% 48.47/31.61 (v90(constB44, bitIndex1)),
% 48.47/31.61 inference(unit_resolution,[status(thm)],[6961, 6847, 6848])).
% 48.47/31.61 tff(6963,plain,
% 48.47/31.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB43, bitIndex1) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB43, bitIndex1) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex1)))),
% 48.47/31.61 inference(rewrite,[status(thm)],[])).
% 48.47/31.61 tff(6964,plain,
% 48.47/31.61 (((~nextState(constB43, constB44)) | v90(constB43, bitIndex1) | v100(constB44) | (~v90(constB44, bitIndex1))) <=> (v90(constB43, bitIndex1) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex1)))),
% 48.47/31.61 inference(rewrite,[status(thm)],[])).
% 48.47/31.61 tff(6965,plain,
% 48.47/31.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB43, constB44)) | v90(constB43, bitIndex1) | v100(constB44) | (~v90(constB44, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB43, bitIndex1) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex1))))),
% 48.56/31.61 inference(monotonicity,[status(thm)],[6964])).
% 48.56/31.61 tff(6966,plain,
% 48.56/31.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB43, constB44)) | v90(constB43, bitIndex1) | v100(constB44) | (~v90(constB44, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB43, bitIndex1) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex1)))),
% 48.56/31.61 inference(transitivity,[status(thm)],[6965, 6963])).
% 48.56/31.61 tff(6967,plain,
% 48.56/31.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB43, constB44)) | v90(constB43, bitIndex1) | v100(constB44) | (~v90(constB44, bitIndex1)))),
% 48.56/31.61 inference(quant_inst,[status(thm)],[])).
% 48.56/31.61 tff(6968,plain,
% 48.56/31.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB43, bitIndex1) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, bitIndex1))),
% 48.56/31.61 inference(modus_ponens,[status(thm)],[6967, 6966])).
% 48.56/31.61 tff(6969,plain,
% 48.56/31.61 (v90(constB43, bitIndex1) | v100(constB44) | (~v90(constB44, bitIndex1))),
% 48.56/31.61 inference(unit_resolution,[status(thm)],[6968, 102, 6841])).
% 48.56/31.61 tff(6970,plain,
% 48.56/31.61 (v90(constB43, bitIndex1)),
% 48.56/31.61 inference(unit_resolution,[status(thm)],[6969, 6962, 6861])).
% 48.56/31.61 tff(6971,plain,
% 48.56/31.61 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB43) | (~v125(constB43)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB43) | (~v125(constB43)))),
% 48.56/31.61 inference(rewrite,[status(thm)],[])).
% 48.56/31.61 tff(6972,plain,
% 48.56/31.61 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB43) | (~v125(constB43)))),
% 48.56/31.61 inference(quant_inst,[status(thm)],[])).
% 48.56/31.61 tff(6973,plain,
% 48.56/31.61 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB43) | (~v125(constB43))),
% 48.56/31.61 inference(modus_ponens,[status(thm)],[6972, 6971])).
% 48.56/31.61 tff(6974,plain,
% 48.56/31.61 (~v125(constB43)),
% 48.56/31.61 inference(unit_resolution,[status(thm)],[6973, 1031, 6897])).
% 48.56/31.61 tff(6975,plain,
% 48.56/31.61 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB43, bitIndex0) | (~v90(constB43, bitIndex1)) | (~v90(constB43, bitIndex2)) | v125(constB43))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB43, bitIndex0) | (~v90(constB43, bitIndex1)) | (~v90(constB43, bitIndex2)) | v125(constB43))),
% 48.56/31.61 inference(rewrite,[status(thm)],[])).
% 48.56/31.61 tff(6976,plain,
% 48.56/31.61 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB43, bitIndex0) | (~v90(constB43, bitIndex1)) | (~v90(constB43, bitIndex2)) | v125(constB43))),
% 48.56/31.61 inference(quant_inst,[status(thm)],[])).
% 48.56/31.61 tff(6977,plain,
% 48.56/31.61 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB43, bitIndex0) | (~v90(constB43, bitIndex1)) | (~v90(constB43, bitIndex2)) | v125(constB43)),
% 48.56/31.61 inference(modus_ponens,[status(thm)],[6976, 6975])).
% 48.56/31.61 tff(6978,plain,
% 48.56/31.61 (v90(constB43, bitIndex0) | (~v90(constB43, bitIndex1)) | (~v90(constB43, bitIndex2))),
% 48.56/31.61 inference(unit_resolution,[status(thm)],[6977, 1019, 6974])).
% 48.56/31.61 tff(6979,plain,
% 48.56/31.61 (~v90(constB43, bitIndex2)),
% 48.56/31.61 inference(unit_resolution,[status(thm)],[6978, 6970, 6847])).
% 48.56/31.61 tff(6980,plain,
% 48.56/31.61 (~v117(constB43)),
% 48.56/31.61 inference(unit_resolution,[status(thm)],[6943, 177, 6909])).
% 48.56/31.61 tff(6981,plain,
% 48.56/31.61 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB43) | (~v121(constB43)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB43) | (~v121(constB43)))),
% 48.56/31.61 inference(rewrite,[status(thm)],[])).
% 48.56/31.61 tff(6982,plain,
% 48.56/31.61 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB43) | (~v121(constB43)))),
% 48.56/31.61 inference(quant_inst,[status(thm)],[])).
% 48.56/31.61 tff(6983,plain,
% 48.56/31.61 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB43) | (~v121(constB43))),
% 48.56/31.61 inference(modus_ponens,[status(thm)],[6982, 6981])).
% 48.56/31.61 tff(6984,plain,
% 48.56/31.61 (~v121(constB43)),
% 48.56/31.61 inference(unit_resolution,[status(thm)],[6983, 1562, 6980])).
% 48.56/31.61 tff(6985,plain,
% 48.56/31.61 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB43, bitIndex0) | (~v90(constB43, bitIndex1)) | v90(constB43, bitIndex2) | v121(constB43))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB43, bitIndex0) | (~v90(constB43, bitIndex1)) | v90(constB43, bitIndex2) | v121(constB43))),
% 48.56/31.61 inference(rewrite,[status(thm)],[])).
% 48.56/31.61 tff(6986,plain,
% 48.56/31.61 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB43, bitIndex0) | (~v90(constB43, bitIndex1)) | v90(constB43, bitIndex2) | v121(constB43))),
% 48.56/31.61 inference(quant_inst,[status(thm)],[])).
% 48.56/31.61 tff(6987,plain,
% 48.56/31.61 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB43, bitIndex0) | (~v90(constB43, bitIndex1)) | v90(constB43, bitIndex2) | v121(constB43)),
% 48.56/31.61 inference(modus_ponens,[status(thm)],[6986, 6985])).
% 48.56/31.61 tff(6988,plain,
% 48.56/31.61 (v90(constB43, bitIndex0) | (~v90(constB43, bitIndex1)) | v90(constB43, bitIndex2)),
% 48.56/31.61 inference(unit_resolution,[status(thm)],[6987, 1551, 6984])).
% 48.56/31.61 tff(6989,plain,
% 48.56/31.61 ($false),
% 48.56/31.61 inference(unit_resolution,[status(thm)],[6988, 6979, 6970, 6847])).
% 48.56/31.61 tff(6990,plain,(v90(constB43, bitIndex0) | v108(constB43)), inference(lemma,lemma(discharge,[]))).
% 48.56/31.61 tff(6991,plain,
% 48.56/31.61 (v108(constB43)),
% 48.56/31.61 inference(unit_resolution,[status(thm)],[6990, 6821])).
% 48.56/31.61 tff(6992,plain,
% 48.56/31.61 (((~![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)))),
% 48.56/31.61 inference(rewrite,[status(thm)],[])).
% 48.56/31.61 tff(6993,plain,
% 48.56/31.61 (((~nextState(constB43, constB44)) | (~v108(constB43)) | v110(constB44)) <=> ((~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43)))),
% 48.56/31.61 inference(rewrite,[status(thm)],[])).
% 48.56/31.61 tff(6994,plain,
% 48.56/31.61 (((~![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))))),
% 48.56/31.61 inference(monotonicity,[status(thm)],[6993])).
% 48.56/31.61 tff(6995,plain,
% 48.56/31.61 (((~![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)))),
% 48.56/31.61 inference(transitivity,[status(thm)],[6994, 6992])).
% 48.56/31.61 tff(6996,plain,
% 48.56/31.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB43, constB44)) | (~v108(constB43)) | v110(constB44))),
% 48.56/31.61 inference(quant_inst,[status(thm)],[])).
% 48.56/31.61 tff(6997,plain,
% 48.56/31.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43))),
% 48.56/31.61 inference(modus_ponens,[status(thm)],[6996, 6995])).
% 48.56/31.61 tff(6998,plain,
% 48.56/31.61 (v110(constB44) | (~v108(constB43))),
% 48.56/31.61 inference(unit_resolution,[status(thm)],[6997, 253, 6841])).
% 48.56/31.61 tff(6999,plain,
% 48.56/31.61 (v110(constB44)),
% 48.56/31.61 inference(unit_resolution,[status(thm)],[6998, 6991])).
% 48.56/31.61 tff(7000,plain,
% 48.56/31.61 (((~![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)))),
% 48.56/31.61 inference(rewrite,[status(thm)],[])).
% 48.56/31.61 tff(7001,plain,
% 48.56/31.61 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB43) | (~nextState(constB43, constB44)) | (~v104(constB44)))),
% 48.56/31.61 inference(quant_inst,[status(thm)],[])).
% 48.56/31.61 tff(7002,plain,
% 48.56/31.61 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB43) | (~nextState(constB43, constB44)) | (~v104(constB44))),
% 48.56/31.61 inference(modus_ponens,[status(thm)],[7001, 7000])).
% 48.56/31.61 tff(7003,plain,
% 48.56/31.61 (~v104(constB44)),
% 48.56/31.61 inference(unit_resolution,[status(thm)],[7002, 271, 6841, 6721])).
% 48.56/31.61 tff(7004,plain,
% 48.56/31.61 (((~![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))),
% 48.56/31.61 inference(rewrite,[status(thm)],[])).
% 48.56/31.61 tff(7005,plain,
% 48.56/31.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB43, constB44)) | v102(constB44) | v104(constB44))),
% 48.56/31.61 inference(quant_inst,[status(thm)],[])).
% 48.56/31.61 tff(7006,plain,
% 48.56/31.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB43, constB44)) | v102(constB44) | v104(constB44)),
% 48.56/31.61 inference(modus_ponens,[status(thm)],[7005, 7004])).
% 48.56/31.61 tff(7007,plain,
% 48.56/31.61 (v102(constB44) | v104(constB44)),
% 48.56/31.61 inference(unit_resolution,[status(thm)],[7006, 285, 6841])).
% 48.56/31.61 tff(7008,plain,
% 48.56/31.61 (v102(constB44)),
% 48.56/31.61 inference(unit_resolution,[status(thm)],[7007, 7003])).
% 48.56/31.61 tff(7009,plain,
% 48.56/31.61 (v1(constB44) <=> v1(constB44)),
% 48.56/31.61 inference(rewrite,[status(thm)],[])).
% 48.56/31.61 tff(7010,axiom,(v1(constB44)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_44_1')).
% 48.56/31.61 tff(7011,plain,
% 48.56/31.61 (v1(constB44)),
% 48.56/31.61 inference(modus_ponens,[status(thm)],[7010, 7009])).
% 48.56/31.61 tff(7012,plain,
% 48.56/31.61 (((~![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)))),
% 48.56/31.61 inference(rewrite,[status(thm)],[])).
% 48.56/31.61 tff(7013,plain,
% 48.56/31.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB43, constB44)) | v101(constB44) | (~v102(constB44)) | (~v1(constB44)))),
% 48.56/31.61 inference(quant_inst,[status(thm)],[])).
% 48.56/31.61 tff(7014,plain,
% 48.56/31.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB43, constB44)) | v101(constB44) | (~v102(constB44)) | (~v1(constB44))),
% 48.56/31.61 inference(modus_ponens,[status(thm)],[7013, 7012])).
% 48.56/31.61 tff(7015,plain,
% 48.56/31.61 (v101(constB44) | (~v102(constB44))),
% 48.56/31.61 inference(unit_resolution,[status(thm)],[7014, 303, 6841, 7011])).
% 48.56/31.61 tff(7016,plain,
% 48.56/31.61 (v101(constB44)),
% 48.56/31.61 inference(unit_resolution,[status(thm)],[7015, 7008])).
% 48.56/31.61 tff(7017,plain,
% 48.56/31.61 (((~![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)))),
% 48.56/31.61 inference(rewrite,[status(thm)],[])).
% 48.56/31.61 tff(7018,plain,
% 48.56/31.61 (((~nextState(constB43, constB44)) | (~v101(constB44)) | (~v110(constB44)) | v100(constB44)) <=> ((~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44)))),
% 48.56/31.61 inference(rewrite,[status(thm)],[])).
% 48.56/31.61 tff(7019,plain,
% 48.56/31.61 (((~![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))))),
% 48.56/31.61 inference(monotonicity,[status(thm)],[7018])).
% 48.56/31.61 tff(7020,plain,
% 48.56/31.61 (((~![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)))),
% 48.56/31.61 inference(transitivity,[status(thm)],[7019, 7017])).
% 48.56/31.61 tff(7021,plain,
% 48.56/31.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB43, constB44)) | (~v101(constB44)) | (~v110(constB44)) | v100(constB44))),
% 48.56/31.61 inference(quant_inst,[status(thm)],[])).
% 48.56/31.61 tff(7022,plain,
% 48.56/31.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44))),
% 48.56/31.61 inference(modus_ponens,[status(thm)],[7021, 7020])).
% 48.56/31.61 tff(7023,plain,
% 48.56/31.61 (v100(constB44) | (~v101(constB44)) | (~v110(constB44))),
% 48.56/31.61 inference(unit_resolution,[status(thm)],[7022, 318, 6841])).
% 48.56/31.61 tff(7024,plain,
% 48.56/31.61 (v100(constB44) | (~v110(constB44))),
% 48.56/31.61 inference(unit_resolution,[status(thm)],[7023, 7016])).
% 48.56/31.61 tff(7025,plain,
% 48.56/31.61 (v100(constB44)),
% 48.56/31.61 inference(unit_resolution,[status(thm)],[7024, 6999])).
% 48.56/31.61 tff(7026,plain,
% 48.56/31.61 (((~![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)))),
% 48.56/31.61 inference(rewrite,[status(thm)],[])).
% 48.56/31.61 tff(7027,plain,
% 48.56/31.61 ((v90(constB44, bitIndex2) | (~v100(constB44)) | (~v129(constB44, bitIndex2))) <=> (v90(constB44, bitIndex2) | (~v129(constB44, bitIndex2)) | (~v100(constB44)))),
% 48.56/31.61 inference(rewrite,[status(thm)],[])).
% 48.56/31.61 tff(7028,plain,
% 48.56/31.61 (((~![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))))),
% 48.56/31.61 inference(monotonicity,[status(thm)],[7027])).
% 48.56/31.61 tff(7029,plain,
% 48.56/31.61 (((~![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)))),
% 48.56/31.62 inference(transitivity,[status(thm)],[7028, 7026])).
% 48.56/31.62 tff(7030,plain,
% 48.56/31.62 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB44, bitIndex2) | (~v100(constB44)) | (~v129(constB44, bitIndex2)))),
% 48.56/31.62 inference(quant_inst,[status(thm)],[])).
% 48.56/31.62 tff(7031,plain,
% 48.56/31.62 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB44, bitIndex2) | (~v129(constB44, bitIndex2)) | (~v100(constB44))),
% 48.56/31.62 inference(modus_ponens,[status(thm)],[7030, 7029])).
% 48.56/31.62 tff(7032,plain,
% 48.56/31.62 (v90(constB44, bitIndex2) | (~v129(constB44, bitIndex2))),
% 48.56/31.62 inference(unit_resolution,[status(thm)],[7031, 381, 7025])).
% 48.56/31.62 tff(7033,plain,
% 48.56/31.62 (v90(constB44, bitIndex2)),
% 48.56/31.62 inference(unit_resolution,[status(thm)],[7032, 6846])).
% 48.56/31.62 tff(7034,plain,
% 48.56/31.62 ((~v1(constB45)) <=> (~v1(constB45))),
% 48.56/31.62 inference(rewrite,[status(thm)],[])).
% 48.56/31.62 tff(7035,axiom,(~v1(constB45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_45_1_1')).
% 48.56/31.62 tff(7036,plain,
% 48.56/31.62 (~v1(constB45)),
% 48.56/31.62 inference(modus_ponens,[status(thm)],[7035, 7034])).
% 48.56/31.62 tff(7037,plain,
% 48.56/31.62 (nextState(constB44, constB45) <=> nextState(constB44, constB45)),
% 48.56/31.62 inference(rewrite,[status(thm)],[])).
% 48.56/31.62 tff(7038,axiom,(nextState(constB44, constB45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_44_1')).
% 48.56/31.62 tff(7039,plain,
% 48.56/31.62 (nextState(constB44, constB45)),
% 48.56/31.62 inference(modus_ponens,[status(thm)],[7038, 7037])).
% 48.56/31.62 tff(7040,plain,
% 48.56/31.62 (((~![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)))),
% 48.56/31.62 inference(rewrite,[status(thm)],[])).
% 48.56/31.62 tff(7041,plain,
% 48.56/31.62 (((~nextState(constB44, constB45)) | (~v101(constB45)) | v1(constB45)) <=> (v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45)))),
% 48.56/31.62 inference(rewrite,[status(thm)],[])).
% 48.56/31.62 tff(7042,plain,
% 48.56/31.62 (((~![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))))),
% 48.56/31.62 inference(monotonicity,[status(thm)],[7041])).
% 48.56/31.62 tff(7043,plain,
% 48.56/31.62 (((~![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)))),
% 48.56/31.62 inference(transitivity,[status(thm)],[7042, 7040])).
% 48.56/31.62 tff(7044,plain,
% 48.56/31.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB44, constB45)) | (~v101(constB45)) | v1(constB45))),
% 48.56/31.62 inference(quant_inst,[status(thm)],[])).
% 48.56/31.62 tff(7045,plain,
% 48.56/31.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45))),
% 48.56/31.62 inference(modus_ponens,[status(thm)],[7044, 7043])).
% 48.56/31.62 tff(7046,plain,
% 48.56/31.62 (~v101(constB45)),
% 48.56/31.62 inference(unit_resolution,[status(thm)],[7045, 49, 7039, 7036])).
% 48.56/31.62 tff(7047,plain,
% 48.56/31.62 (((~![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)))),
% 48.56/31.62 inference(rewrite,[status(thm)],[])).
% 48.56/31.62 tff(7048,plain,
% 48.56/31.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB44, constB45)) | v101(constB45) | (~v100(constB45)))),
% 48.56/31.62 inference(quant_inst,[status(thm)],[])).
% 48.56/31.62 tff(7049,plain,
% 48.56/31.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB44, constB45)) | v101(constB45) | (~v100(constB45))),
% 48.56/31.62 inference(modus_ponens,[status(thm)],[7048, 7047])).
% 48.56/31.62 tff(7050,plain,
% 48.56/31.62 (v101(constB45) | (~v100(constB45))),
% 48.56/31.62 inference(unit_resolution,[status(thm)],[7049, 66, 7039])).
% 48.56/31.62 tff(7051,plain,
% 48.56/31.62 (~v100(constB45)),
% 48.56/31.62 inference(unit_resolution,[status(thm)],[7050, 7046])).
% 48.56/31.62 tff(7052,plain,
% 48.56/31.62 (((~![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))),
% 48.56/31.62 inference(rewrite,[status(thm)],[])).
% 48.56/31.62 tff(7053,plain,
% 48.56/31.62 (((~nextState(constB44, constB45)) | (~v90(constB44, bitIndex2)) | v100(constB45) | v90(constB45, bitIndex2)) <=> ((~v90(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex2))),
% 48.56/31.62 inference(rewrite,[status(thm)],[])).
% 48.56/31.62 tff(7054,plain,
% 48.56/31.62 (((~![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)))),
% 48.56/31.62 inference(monotonicity,[status(thm)],[7053])).
% 48.56/31.62 tff(7055,plain,
% 48.56/31.62 (((~![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))),
% 48.56/31.62 inference(transitivity,[status(thm)],[7054, 7052])).
% 48.56/31.62 tff(7056,plain,
% 48.56/31.62 ((~![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))),
% 48.56/31.62 inference(quant_inst,[status(thm)],[])).
% 48.56/31.62 tff(7057,plain,
% 48.56/31.62 ((~![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)),
% 48.56/31.62 inference(modus_ponens,[status(thm)],[7056, 7055])).
% 48.56/31.62 tff(7058,plain,
% 48.56/31.62 ((~v90(constB44, bitIndex2)) | v100(constB45) | v90(constB45, bitIndex2)),
% 48.56/31.62 inference(unit_resolution,[status(thm)],[7057, 417, 7039])).
% 48.56/31.62 tff(7059,plain,
% 48.56/31.62 ((~v90(constB44, bitIndex2)) | v90(constB45, bitIndex2)),
% 48.56/31.62 inference(unit_resolution,[status(thm)],[7058, 7051])).
% 48.56/31.62 tff(7060,plain,
% 48.56/31.62 (v90(constB45, bitIndex2)),
% 48.56/31.62 inference(unit_resolution,[status(thm)],[7059, 7033])).
% 48.56/31.62 tff(7061,plain,
% 48.56/31.62 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB45, bitIndex2)) | (~v121(constB45)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB45, bitIndex2)) | (~v121(constB45)))),
% 48.56/31.62 inference(rewrite,[status(thm)],[])).
% 48.56/31.62 tff(7062,plain,
% 48.56/31.62 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB45, bitIndex2)) | (~v121(constB45)))),
% 48.56/31.62 inference(quant_inst,[status(thm)],[])).
% 48.56/31.62 tff(7063,plain,
% 48.56/31.62 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB45, bitIndex2)) | (~v121(constB45))),
% 48.56/31.62 inference(modus_ponens,[status(thm)],[7062, 7061])).
% 48.56/31.62 tff(7064,plain,
% 48.56/31.62 (~v121(constB45)),
% 48.56/31.62 inference(unit_resolution,[status(thm)],[7063, 883, 7060])).
% 48.56/31.62 tff(7065,plain,
% 48.56/31.62 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB45, bitIndex2)) | (~v122(constB45)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB45, bitIndex2)) | (~v122(constB45)))),
% 48.56/31.62 inference(rewrite,[status(thm)],[])).
% 48.56/31.62 tff(7066,plain,
% 48.56/31.62 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB45, bitIndex2)) | (~v122(constB45)))),
% 48.56/31.62 inference(quant_inst,[status(thm)],[])).
% 48.56/31.62 tff(7067,plain,
% 48.56/31.62 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB45, bitIndex2)) | (~v122(constB45))),
% 48.56/31.62 inference(modus_ponens,[status(thm)],[7066, 7065])).
% 48.56/31.62 tff(7068,plain,
% 48.56/31.62 (~v122(constB45)),
% 48.56/31.62 inference(unit_resolution,[status(thm)],[7067, 894, 7060])).
% 48.56/31.62 tff(7069,plain,
% 48.56/31.62 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB43)) | v130(constB43, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB43)) | v130(constB43, bitIndex1))),
% 48.56/31.62 inference(rewrite,[status(thm)],[])).
% 48.56/31.62 tff(7070,plain,
% 48.56/31.62 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB43)) | v130(constB43, bitIndex1))),
% 48.56/31.62 inference(quant_inst,[status(thm)],[])).
% 48.56/31.62 tff(7071,plain,
% 48.56/31.62 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB43)) | v130(constB43, bitIndex1)),
% 48.56/31.62 inference(modus_ponens,[status(thm)],[7070, 7069])).
% 48.56/31.62 tff(7072,plain,
% 48.56/31.62 (v130(constB43, bitIndex1)),
% 48.56/31.62 inference(unit_resolution,[status(thm)],[7071, 667, 6825])).
% 48.56/31.62 tff(7073,plain,
% 48.56/31.62 (((~![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))) | v26(constB43) | (~v130(constB43, bitIndex1)) | v127(constB43, bitIndex1))),
% 48.56/31.62 inference(rewrite,[status(thm)],[])).
% 48.56/31.62 tff(7074,plain,
% 48.56/31.62 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB43) | (~v130(constB43, bitIndex1)) | v127(constB43, bitIndex1))),
% 48.56/31.62 inference(quant_inst,[status(thm)],[])).
% 48.56/31.62 tff(7075,plain,
% 48.56/31.62 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB43) | (~v130(constB43, bitIndex1)) | v127(constB43, bitIndex1)),
% 48.56/31.62 inference(modus_ponens,[status(thm)],[7074, 7073])).
% 48.56/31.62 tff(7076,plain,
% 48.56/31.62 ((~v130(constB43, bitIndex1)) | v127(constB43, bitIndex1)),
% 48.56/31.62 inference(unit_resolution,[status(thm)],[7075, 681, 6833])).
% 48.56/31.62 tff(7077,plain,
% 48.56/31.62 (v127(constB43, bitIndex1)),
% 48.56/31.62 inference(unit_resolution,[status(thm)],[7076, 7072])).
% 48.56/31.62 tff(7078,plain,
% 48.56/31.62 (((~![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))),
% 48.56/31.62 inference(rewrite,[status(thm)],[])).
% 48.56/31.62 tff(7079,plain,
% 48.56/31.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB43, constB44)) | (~v127(constB43, bitIndex1)) | v129(constB44, bitIndex1))),
% 48.56/31.62 inference(quant_inst,[status(thm)],[])).
% 48.56/31.62 tff(7080,plain,
% 48.56/31.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB43, constB44)) | (~v127(constB43, bitIndex1)) | v129(constB44, bitIndex1)),
% 48.56/31.62 inference(modus_ponens,[status(thm)],[7079, 7078])).
% 48.56/31.62 tff(7081,plain,
% 48.56/31.62 ((~v127(constB43, bitIndex1)) | v129(constB44, bitIndex1)),
% 48.56/31.62 inference(unit_resolution,[status(thm)],[7080, 696, 6841])).
% 48.56/31.62 tff(7082,plain,
% 48.56/31.62 (v129(constB44, bitIndex1)),
% 48.56/31.62 inference(unit_resolution,[status(thm)],[7081, 7077])).
% 48.56/31.62 tff(7083,plain,
% 48.56/31.62 (((~![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)))),
% 48.56/31.62 inference(rewrite,[status(thm)],[])).
% 48.56/31.62 tff(7084,plain,
% 48.56/31.62 ((v90(constB44, bitIndex1) | (~v100(constB44)) | (~v129(constB44, bitIndex1))) <=> (v90(constB44, bitIndex1) | (~v129(constB44, bitIndex1)) | (~v100(constB44)))),
% 48.56/31.62 inference(rewrite,[status(thm)],[])).
% 48.56/31.62 tff(7085,plain,
% 48.56/31.62 (((~![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))))),
% 48.56/31.62 inference(monotonicity,[status(thm)],[7084])).
% 48.56/31.62 tff(7086,plain,
% 48.56/31.62 (((~![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)))),
% 48.56/31.62 inference(transitivity,[status(thm)],[7085, 7083])).
% 48.56/31.62 tff(7087,plain,
% 48.56/31.62 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB44, bitIndex1) | (~v100(constB44)) | (~v129(constB44, bitIndex1)))),
% 48.56/31.62 inference(quant_inst,[status(thm)],[])).
% 48.56/31.62 tff(7088,plain,
% 48.56/31.62 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB44, bitIndex1) | (~v129(constB44, bitIndex1)) | (~v100(constB44))),
% 48.56/31.62 inference(modus_ponens,[status(thm)],[7087, 7086])).
% 48.56/31.62 tff(7089,plain,
% 48.56/31.62 (v90(constB44, bitIndex1) | (~v129(constB44, bitIndex1))),
% 48.56/31.62 inference(unit_resolution,[status(thm)],[7088, 711, 7025])).
% 48.56/31.62 tff(7090,plain,
% 48.56/31.62 (v90(constB44, bitIndex1)),
% 48.56/31.62 inference(unit_resolution,[status(thm)],[7089, 7082])).
% 48.56/31.62 tff(7091,plain,
% 48.56/31.62 (((~![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))),
% 48.56/31.62 inference(rewrite,[status(thm)],[])).
% 48.56/31.62 tff(7092,plain,
% 48.56/31.62 (((~nextState(constB44, constB45)) | (~v90(constB44, bitIndex1)) | v100(constB45) | v90(constB45, bitIndex1)) <=> ((~v90(constB44, bitIndex1)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, bitIndex1))),
% 48.56/31.62 inference(rewrite,[status(thm)],[])).
% 48.56/31.62 tff(7093,plain,
% 48.56/31.62 (((~![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)))),
% 48.56/31.62 inference(monotonicity,[status(thm)],[7092])).
% 48.56/31.62 tff(7094,plain,
% 48.56/31.62 (((~![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))),
% 48.56/31.62 inference(transitivity,[status(thm)],[7093, 7091])).
% 48.56/31.62 tff(7095,plain,
% 48.56/31.62 ((~![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))),
% 48.56/31.62 inference(quant_inst,[status(thm)],[])).
% 48.56/31.62 tff(7096,plain,
% 48.56/31.62 ((~![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)),
% 48.56/31.62 inference(modus_ponens,[status(thm)],[7095, 7094])).
% 48.56/31.62 tff(7097,plain,
% 48.56/31.62 ((~v90(constB44, bitIndex1)) | v100(constB45) | v90(constB45, bitIndex1)),
% 48.56/31.62 inference(unit_resolution,[status(thm)],[7096, 747, 7039])).
% 48.56/31.62 tff(7098,plain,
% 48.56/31.62 ((~v90(constB44, bitIndex1)) | v90(constB45, bitIndex1)),
% 48.56/31.62 inference(unit_resolution,[status(thm)],[7097, 7051])).
% 48.56/31.62 tff(7099,plain,
% 48.56/31.62 (v90(constB45, bitIndex1)),
% 48.56/31.62 inference(unit_resolution,[status(thm)],[7098, 7090])).
% 48.56/31.62 tff(7100,plain,
% 48.56/31.62 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB45)) | (~v90(constB45, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB45)) | (~v90(constB45, bitIndex1)))),
% 48.56/31.62 inference(rewrite,[status(thm)],[])).
% 48.56/31.62 tff(7101,plain,
% 48.56/31.62 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB45)) | (~v90(constB45, bitIndex1)))),
% 48.56/31.62 inference(quant_inst,[status(thm)],[])).
% 48.56/31.62 tff(7102,plain,
% 48.56/31.62 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB45)) | (~v90(constB45, bitIndex1))),
% 48.56/31.62 inference(modus_ponens,[status(thm)],[7101, 7100])).
% 48.56/31.62 tff(7103,plain,
% 48.56/31.62 (~v119(constB45)),
% 48.56/31.62 inference(unit_resolution,[status(thm)],[7102, 2293, 7099])).
% 48.56/31.62 tff(7104,plain,
% 48.56/31.62 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB45, bitIndex1)) | (~v120(constB45)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB45, bitIndex1)) | (~v120(constB45)))),
% 48.56/31.62 inference(rewrite,[status(thm)],[])).
% 48.56/31.62 tff(7105,plain,
% 48.56/31.62 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB45, bitIndex1)) | (~v120(constB45)))),
% 48.56/31.62 inference(quant_inst,[status(thm)],[])).
% 48.56/31.62 tff(7106,plain,
% 48.56/31.62 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB45, bitIndex1)) | (~v120(constB45))),
% 48.56/31.62 inference(modus_ponens,[status(thm)],[7105, 7104])).
% 48.56/31.62 tff(7107,plain,
% 48.56/31.62 (~v120(constB45)),
% 48.56/31.62 inference(unit_resolution,[status(thm)],[7106, 2312, 7099])).
% 48.56/31.62 tff(7108,plain,
% 48.56/31.62 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB45, bitIndex1)) | (~v124(constB45)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB45, bitIndex1)) | (~v124(constB45)))),
% 48.56/31.62 inference(rewrite,[status(thm)],[])).
% 48.56/31.62 tff(7109,plain,
% 48.56/31.62 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB45, bitIndex1)) | (~v124(constB45)))),
% 48.56/31.62 inference(quant_inst,[status(thm)],[])).
% 48.56/31.62 tff(7110,plain,
% 48.56/31.62 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB45, bitIndex1)) | (~v124(constB45))),
% 48.56/31.62 inference(modus_ponens,[status(thm)],[7109, 7108])).
% 48.56/31.62 tff(7111,plain,
% 48.56/31.62 (~v124(constB45)),
% 48.56/31.62 inference(unit_resolution,[status(thm)],[7110, 763, 7099])).
% 48.56/31.62 tff(7112,plain,
% 48.56/31.62 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB45, bitIndex1)) | (~v123(constB45)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB45, bitIndex1)) | (~v123(constB45)))),
% 48.56/31.62 inference(rewrite,[status(thm)],[])).
% 48.56/31.62 tff(7113,plain,
% 48.56/31.62 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB45, bitIndex1)) | (~v123(constB45)))),
% 48.56/31.62 inference(quant_inst,[status(thm)],[])).
% 48.56/31.62 tff(7114,plain,
% 48.56/31.62 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB45, bitIndex1)) | (~v123(constB45))),
% 48.56/31.62 inference(modus_ponens,[status(thm)],[7113, 7112])).
% 48.56/31.62 tff(7115,plain,
% 48.56/31.62 (~v123(constB45)),
% 48.56/31.62 inference(unit_resolution,[status(thm)],[7114, 774, 7099])).
% 48.56/31.62 tff(7116,plain,
% 48.56/31.62 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB45, bitIndex2)) | v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB45, bitIndex2)) | v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45))),
% 48.56/31.62 inference(rewrite,[status(thm)],[])).
% 48.56/31.62 tff(7117,plain,
% 48.56/31.62 ((v120(constB45) | v119(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~v130(constB45, bitIndex2))) <=> ((~v130(constB45, bitIndex2)) | v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45))),
% 48.56/31.62 inference(rewrite,[status(thm)],[])).
% 48.56/31.62 tff(7118,plain,
% 48.56/31.62 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB45) | v119(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~v130(constB45, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB45, bitIndex2)) | v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45)))),
% 48.56/31.62 inference(monotonicity,[status(thm)],[7117])).
% 48.56/31.62 tff(7119,plain,
% 48.56/31.62 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB45) | v119(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~v130(constB45, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB45, bitIndex2)) | v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45))),
% 48.56/31.62 inference(transitivity,[status(thm)],[7118, 7116])).
% 48.56/31.62 tff(7120,plain,
% 48.56/31.62 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB45) | v119(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~v130(constB45, bitIndex2)))),
% 48.56/31.62 inference(quant_inst,[status(thm)],[])).
% 48.56/31.62 tff(7121,plain,
% 48.56/31.62 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB45, bitIndex2)) | v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45)),
% 48.56/31.62 inference(modus_ponens,[status(thm)],[7120, 7119])).
% 48.56/31.62 tff(7122,plain,
% 48.56/31.62 (~v130(constB45, bitIndex2)),
% 48.56/31.62 inference(unit_resolution,[status(thm)],[7121, 1192, 7115, 7111, 7107, 7103, 7068, 7064])).
% 48.56/31.62 tff(7123,plain,
% 48.56/31.62 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB45, bitIndex0) | v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB45, bitIndex0) | v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45))),
% 48.56/31.62 inference(rewrite,[status(thm)],[])).
% 48.56/31.62 tff(7124,plain,
% 48.56/31.62 ((v120(constB45) | v119(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | v130(constB45, bitIndex0)) <=> (v130(constB45, bitIndex0) | v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45))),
% 48.56/31.62 inference(rewrite,[status(thm)],[])).
% 48.56/31.62 tff(7125,plain,
% 48.56/31.62 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB45) | v119(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | v130(constB45, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB45, bitIndex0) | v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45)))),
% 48.56/31.62 inference(monotonicity,[status(thm)],[7124])).
% 48.56/31.62 tff(7126,plain,
% 48.56/31.62 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB45) | v119(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | v130(constB45, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB45, bitIndex0) | v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45))),
% 48.56/31.62 inference(transitivity,[status(thm)],[7125, 7123])).
% 48.56/31.62 tff(7127,plain,
% 48.56/31.62 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB45) | v119(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | v130(constB45, bitIndex0))),
% 48.56/31.62 inference(quant_inst,[status(thm)],[])).
% 48.56/31.62 tff(7128,plain,
% 48.56/31.62 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB45, bitIndex0) | v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45)),
% 48.56/31.62 inference(modus_ponens,[status(thm)],[7127, 7126])).
% 48.56/31.62 tff(7129,plain,
% 48.56/31.62 (v130(constB45, bitIndex0)),
% 48.56/31.62 inference(unit_resolution,[status(thm)],[7128, 908, 7115, 7111, 7107, 7103, 7068, 7064])).
% 48.56/31.62 tff(7130,plain,
% 48.56/31.62 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB43)) | (~v130(constB43, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB43)) | (~v130(constB43, bitIndex0)))),
% 48.56/31.62 inference(rewrite,[status(thm)],[])).
% 48.56/31.62 tff(7131,plain,
% 48.56/31.62 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB43)) | (~v130(constB43, bitIndex0)))),
% 48.56/31.62 inference(quant_inst,[status(thm)],[])).
% 48.56/31.62 tff(7132,plain,
% 48.56/31.62 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB43)) | (~v130(constB43, bitIndex0))),
% 48.56/31.62 inference(modus_ponens,[status(thm)],[7131, 7130])).
% 48.56/31.62 tff(7133,plain,
% 48.56/31.62 (~v130(constB43, bitIndex0)),
% 48.56/31.62 inference(unit_resolution,[status(thm)],[7132, 975, 6825])).
% 48.56/31.62 tff(7134,plain,
% 48.56/31.62 (((~![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))),
% 48.56/31.62 inference(rewrite,[status(thm)],[])).
% 48.56/31.62 tff(7135,plain,
% 48.56/31.63 ((v26(constB43) | v130(constB43, bitIndex0) | (~v127(constB43, bitIndex0))) <=> ((~v127(constB43, bitIndex0)) | v26(constB43) | v130(constB43, bitIndex0))),
% 48.56/31.63 inference(rewrite,[status(thm)],[])).
% 48.56/31.63 tff(7136,plain,
% 48.56/31.63 (((~![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)))),
% 48.56/31.63 inference(monotonicity,[status(thm)],[7135])).
% 48.56/31.63 tff(7137,plain,
% 48.56/31.63 (((~![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))),
% 48.56/31.63 inference(transitivity,[status(thm)],[7136, 7134])).
% 48.56/31.63 tff(7138,plain,
% 48.56/31.63 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB43) | v130(constB43, bitIndex0) | (~v127(constB43, bitIndex0)))),
% 48.56/31.63 inference(quant_inst,[status(thm)],[])).
% 48.56/31.63 tff(7139,plain,
% 48.56/31.63 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB43, bitIndex0)) | v26(constB43) | v130(constB43, bitIndex0)),
% 48.56/31.63 inference(modus_ponens,[status(thm)],[7138, 7137])).
% 48.56/31.63 tff(7140,plain,
% 48.56/31.63 ((~v127(constB43, bitIndex0)) | v130(constB43, bitIndex0)),
% 48.56/31.63 inference(unit_resolution,[status(thm)],[7139, 524, 6833])).
% 48.56/31.63 tff(7141,plain,
% 48.56/31.63 (~v127(constB43, bitIndex0)),
% 48.56/31.63 inference(unit_resolution,[status(thm)],[7140, 7133])).
% 48.56/31.63 tff(7142,plain,
% 48.56/31.63 (((~![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)))),
% 48.56/31.63 inference(rewrite,[status(thm)],[])).
% 48.56/31.63 tff(7143,plain,
% 48.56/31.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB43, constB44)) | v127(constB43, bitIndex0) | (~v129(constB44, bitIndex0)))),
% 48.56/31.63 inference(quant_inst,[status(thm)],[])).
% 48.56/31.63 tff(7144,plain,
% 48.56/31.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB43, constB44)) | v127(constB43, bitIndex0) | (~v129(constB44, bitIndex0))),
% 48.56/31.63 inference(modus_ponens,[status(thm)],[7143, 7142])).
% 48.56/31.63 tff(7145,plain,
% 48.56/31.63 (v127(constB43, bitIndex0) | (~v129(constB44, bitIndex0))),
% 48.56/31.63 inference(unit_resolution,[status(thm)],[7144, 542, 6841])).
% 48.56/31.63 tff(7146,plain,
% 48.56/31.63 (~v129(constB44, bitIndex0)),
% 48.56/31.63 inference(unit_resolution,[status(thm)],[7145, 7141])).
% 48.56/31.63 tff(7147,plain,
% 48.56/31.63 (((~![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)))),
% 48.56/31.63 inference(rewrite,[status(thm)],[])).
% 48.56/31.63 tff(7148,plain,
% 48.56/31.63 (((~v90(constB44, bitIndex0)) | (~v100(constB44)) | v129(constB44, bitIndex0)) <=> ((~v90(constB44, bitIndex0)) | v129(constB44, bitIndex0) | (~v100(constB44)))),
% 48.56/31.63 inference(rewrite,[status(thm)],[])).
% 48.56/31.63 tff(7149,plain,
% 48.56/31.63 (((~![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))))),
% 48.56/31.63 inference(monotonicity,[status(thm)],[7148])).
% 48.56/31.63 tff(7150,plain,
% 48.56/31.63 (((~![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)))),
% 48.56/31.63 inference(transitivity,[status(thm)],[7149, 7147])).
% 48.56/31.63 tff(7151,plain,
% 48.56/31.63 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB44, bitIndex0)) | (~v100(constB44)) | v129(constB44, bitIndex0))),
% 48.56/31.63 inference(quant_inst,[status(thm)],[])).
% 48.56/31.63 tff(7152,plain,
% 48.56/31.63 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB44, bitIndex0)) | v129(constB44, bitIndex0) | (~v100(constB44))),
% 48.56/31.63 inference(modus_ponens,[status(thm)],[7151, 7150])).
% 48.56/31.63 tff(7153,plain,
% 48.56/31.63 ((~v90(constB44, bitIndex0)) | v129(constB44, bitIndex0)),
% 48.56/31.63 inference(unit_resolution,[status(thm)],[7152, 557, 7025])).
% 48.56/31.63 tff(7154,plain,
% 48.56/31.63 (~v90(constB44, bitIndex0)),
% 48.56/31.63 inference(unit_resolution,[status(thm)],[7153, 7146])).
% 48.56/31.63 tff(7155,plain,
% 48.56/31.63 (((~![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)))),
% 48.56/31.63 inference(rewrite,[status(thm)],[])).
% 48.56/31.63 tff(7156,plain,
% 48.56/31.63 (((~nextState(constB44, constB45)) | v90(constB44, bitIndex0) | v100(constB45) | (~v90(constB45, bitIndex0))) <=> (v90(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, bitIndex0)))),
% 48.56/31.63 inference(rewrite,[status(thm)],[])).
% 48.56/31.63 tff(7157,plain,
% 48.56/31.63 (((~![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))))),
% 48.56/31.63 inference(monotonicity,[status(thm)],[7156])).
% 48.56/31.63 tff(7158,plain,
% 48.56/31.63 (((~![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)))),
% 48.56/31.63 inference(transitivity,[status(thm)],[7157, 7155])).
% 48.56/31.63 tff(7159,plain,
% 48.56/31.63 ((~![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)))),
% 48.56/31.63 inference(quant_inst,[status(thm)],[])).
% 48.56/31.63 tff(7160,plain,
% 48.56/31.63 ((~![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))),
% 48.56/31.63 inference(modus_ponens,[status(thm)],[7159, 7158])).
% 48.56/31.63 tff(7161,plain,
% 48.56/31.63 (v90(constB44, bitIndex0) | v100(constB45) | (~v90(constB45, bitIndex0))),
% 48.56/31.63 inference(unit_resolution,[status(thm)],[7160, 123, 7039])).
% 48.56/31.63 tff(7162,plain,
% 48.56/31.63 (v90(constB44, bitIndex0) | (~v90(constB45, bitIndex0))),
% 48.56/31.63 inference(unit_resolution,[status(thm)],[7161, 7051])).
% 48.56/31.63 tff(7163,plain,
% 48.56/31.63 (~v90(constB45, bitIndex0)),
% 48.56/31.63 inference(unit_resolution,[status(thm)],[7162, 7154])).
% 48.56/31.63 tff(7164,plain,
% 48.56/31.63 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB45, bitIndex0) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex2)) | v125(constB45))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB45, bitIndex0) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex2)) | v125(constB45))),
% 48.56/31.63 inference(rewrite,[status(thm)],[])).
% 48.56/31.63 tff(7165,plain,
% 48.56/31.63 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB45, bitIndex0) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex2)) | v125(constB45))),
% 48.56/31.63 inference(quant_inst,[status(thm)],[])).
% 48.56/31.63 tff(7166,plain,
% 48.56/31.63 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB45, bitIndex0) | (~v90(constB45, bitIndex1)) | (~v90(constB45, bitIndex2)) | v125(constB45)),
% 48.56/31.63 inference(modus_ponens,[status(thm)],[7165, 7164])).
% 48.56/31.63 tff(7167,plain,
% 48.56/31.63 (v125(constB45)),
% 48.56/31.63 inference(unit_resolution,[status(thm)],[7166, 1019, 7163, 7099, 7060])).
% 48.56/31.63 tff(7168,plain,
% 48.56/31.63 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB45) | (~v125(constB45)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB45) | (~v125(constB45)))),
% 48.56/31.63 inference(rewrite,[status(thm)],[])).
% 48.56/31.63 tff(7169,plain,
% 48.56/31.63 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB45) | (~v125(constB45)))),
% 48.56/31.63 inference(quant_inst,[status(thm)],[])).
% 48.56/31.63 tff(7170,plain,
% 48.56/31.63 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB45) | (~v125(constB45))),
% 48.56/31.63 inference(modus_ponens,[status(thm)],[7169, 7168])).
% 48.56/31.63 tff(7171,plain,
% 48.56/31.63 (v113(constB45)),
% 48.56/31.63 inference(unit_resolution,[status(thm)],[7170, 1031, 7167])).
% 48.56/31.63 tff(7172,plain,
% 48.56/31.63 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB45, bitIndex1)) | v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB45, bitIndex1)) | v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45))),
% 48.56/31.63 inference(rewrite,[status(thm)],[])).
% 48.56/31.63 tff(7173,plain,
% 48.56/31.63 ((v120(constB45) | v119(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~v130(constB45, bitIndex1))) <=> ((~v130(constB45, bitIndex1)) | v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45))),
% 48.56/31.63 inference(rewrite,[status(thm)],[])).
% 48.56/31.63 tff(7174,plain,
% 48.56/31.63 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB45) | v119(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~v130(constB45, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB45, bitIndex1)) | v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45)))),
% 48.56/31.63 inference(monotonicity,[status(thm)],[7173])).
% 48.56/31.63 tff(7175,plain,
% 48.56/31.63 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB45) | v119(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~v130(constB45, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB45, bitIndex1)) | v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45))),
% 48.56/31.63 inference(transitivity,[status(thm)],[7174, 7172])).
% 48.56/31.63 tff(7176,plain,
% 48.56/31.63 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB45) | v119(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~v130(constB45, bitIndex1)))),
% 48.56/31.63 inference(quant_inst,[status(thm)],[])).
% 48.56/31.63 tff(7177,plain,
% 48.56/31.63 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB45, bitIndex1)) | v124(constB45) | v123(constB45) | v122(constB45) | v121(constB45) | v120(constB45) | v119(constB45)),
% 48.56/31.63 inference(modus_ponens,[status(thm)],[7176, 7175])).
% 48.56/31.63 tff(7178,plain,
% 48.56/31.63 (~v130(constB45, bitIndex1)),
% 48.56/31.63 inference(unit_resolution,[status(thm)],[7177, 1143, 7115, 7111, 7107, 7103, 7068, 7064])).
% 48.56/31.63 tff(7179,assumption,(v26(constB45)), introduced(assumption)).
% 48.56/31.63 tff(7180,plain,
% 48.56/31.63 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB45))),
% 48.56/31.63 inference(quant_inst,[status(thm)],[])).
% 48.56/31.63 tff(7181,plain,
% 48.56/31.63 ($false),
% 48.56/31.63 inference(unit_resolution,[status(thm)],[7180, 16, 7179])).
% 48.56/31.63 tff(7182,plain,(~v26(constB45)), inference(lemma,lemma(discharge,[]))).
% 48.56/31.63 tff(7183,assumption,(~v26(constB45)), introduced(assumption)).
% 48.56/31.63 tff(7184,assumption,(v113(constB45)), introduced(assumption)).
% 48.56/31.63 tff(7185,plain,
% 48.56/31.63 (((~![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)))),
% 48.56/31.63 inference(rewrite,[status(thm)],[])).
% 48.56/31.63 tff(7186,plain,
% 48.56/31.63 ((v26(constB45) | (~v113(constB45)) | v112(constB45)) <=> (v26(constB45) | v112(constB45) | (~v113(constB45)))),
% 48.56/31.63 inference(rewrite,[status(thm)],[])).
% 48.56/31.63 tff(7187,plain,
% 48.56/31.63 (((~![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))))),
% 48.56/31.63 inference(monotonicity,[status(thm)],[7186])).
% 48.56/31.63 tff(7188,plain,
% 48.56/31.63 (((~![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)))),
% 48.56/31.63 inference(transitivity,[status(thm)],[7187, 7185])).
% 48.56/31.63 tff(7189,plain,
% 48.56/31.63 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB45) | (~v113(constB45)) | v112(constB45))),
% 48.56/31.63 inference(quant_inst,[status(thm)],[])).
% 48.56/31.63 tff(7190,plain,
% 48.56/31.63 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB45) | v112(constB45) | (~v113(constB45))),
% 48.56/31.63 inference(modus_ponens,[status(thm)],[7189, 7188])).
% 48.56/31.63 tff(7191,plain,
% 48.56/31.63 (v26(constB45) | v112(constB45)),
% 48.56/31.63 inference(unit_resolution,[status(thm)],[7190, 224, 7184])).
% 48.56/31.63 tff(7192,plain,
% 48.56/31.63 (v112(constB45)),
% 48.56/31.63 inference(unit_resolution,[status(thm)],[7191, 7183])).
% 48.56/31.63 tff(7193,plain,
% 48.56/31.63 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB45) | (~v112(constB45)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB45) | (~v112(constB45)))),
% 48.56/31.63 inference(rewrite,[status(thm)],[])).
% 48.56/31.63 tff(7194,plain,
% 48.56/31.63 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB45) | (~v112(constB45)))),
% 48.56/31.63 inference(quant_inst,[status(thm)],[])).
% 48.56/31.63 tff(7195,plain,
% 48.56/31.63 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB45) | (~v112(constB45))),
% 48.56/31.63 inference(modus_ponens,[status(thm)],[7194, 7193])).
% 48.56/31.63 tff(7196,plain,
% 48.56/31.63 (v108(constB45)),
% 48.56/31.63 inference(unit_resolution,[status(thm)],[7195, 236, 7192])).
% 48.56/31.63 tff(7197,plain,
% 48.56/31.63 (nextState(constB45, constB46) <=> nextState(constB45, constB46)),
% 48.56/31.63 inference(rewrite,[status(thm)],[])).
% 48.56/31.63 tff(7198,axiom,(nextState(constB45, constB46)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_45_1')).
% 48.56/31.63 tff(7199,plain,
% 48.56/31.63 (nextState(constB45, constB46)),
% 48.56/31.63 inference(modus_ponens,[status(thm)],[7198, 7197])).
% 48.56/31.63 tff(7200,plain,
% 48.56/31.63 (((~![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)))),
% 48.56/31.63 inference(rewrite,[status(thm)],[])).
% 48.56/31.63 tff(7201,plain,
% 48.56/31.63 (((~nextState(constB45, constB46)) | (~v108(constB45)) | v110(constB46)) <=> ((~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45)))),
% 48.56/31.63 inference(rewrite,[status(thm)],[])).
% 48.56/31.63 tff(7202,plain,
% 48.56/31.63 (((~![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))))),
% 48.56/31.63 inference(monotonicity,[status(thm)],[7201])).
% 48.56/31.63 tff(7203,plain,
% 48.56/31.63 (((~![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)))),
% 48.56/31.63 inference(transitivity,[status(thm)],[7202, 7200])).
% 48.56/31.63 tff(7204,plain,
% 48.56/31.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB45, constB46)) | (~v108(constB45)) | v110(constB46))),
% 48.56/31.63 inference(quant_inst,[status(thm)],[])).
% 48.56/31.63 tff(7205,plain,
% 48.56/31.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45))),
% 48.56/31.63 inference(modus_ponens,[status(thm)],[7204, 7203])).
% 48.56/31.63 tff(7206,plain,
% 48.56/31.63 (v110(constB46) | (~v108(constB45))),
% 48.56/31.63 inference(unit_resolution,[status(thm)],[7205, 253, 7199])).
% 48.56/31.63 tff(7207,plain,
% 48.56/31.63 (v110(constB46)),
% 48.56/31.63 inference(unit_resolution,[status(thm)],[7206, 7196])).
% 48.56/31.63 tff(7208,plain,
% 48.56/31.63 (((~![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)))),
% 48.56/31.63 inference(rewrite,[status(thm)],[])).
% 48.56/31.63 tff(7209,plain,
% 48.56/31.63 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB45) | (~nextState(constB45, constB46)) | (~v104(constB46)))),
% 48.56/31.63 inference(quant_inst,[status(thm)],[])).
% 48.56/31.63 tff(7210,plain,
% 48.56/31.63 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB45) | (~nextState(constB45, constB46)) | (~v104(constB46))),
% 48.56/31.63 inference(modus_ponens,[status(thm)],[7209, 7208])).
% 48.56/31.63 tff(7211,plain,
% 48.56/31.63 (~v104(constB46)),
% 48.56/31.63 inference(unit_resolution,[status(thm)],[7210, 271, 7199, 7036])).
% 48.56/31.63 tff(7212,plain,
% 48.56/31.63 (((~![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))),
% 48.56/31.63 inference(rewrite,[status(thm)],[])).
% 48.56/31.63 tff(7213,plain,
% 48.56/31.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB45, constB46)) | v102(constB46) | v104(constB46))),
% 48.56/31.63 inference(quant_inst,[status(thm)],[])).
% 48.56/31.63 tff(7214,plain,
% 48.56/31.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB45, constB46)) | v102(constB46) | v104(constB46)),
% 48.56/31.63 inference(modus_ponens,[status(thm)],[7213, 7212])).
% 48.56/31.63 tff(7215,plain,
% 48.56/31.63 (v102(constB46) | v104(constB46)),
% 48.56/31.63 inference(unit_resolution,[status(thm)],[7214, 285, 7199])).
% 48.56/31.63 tff(7216,plain,
% 48.56/31.63 (v102(constB46)),
% 48.56/31.63 inference(unit_resolution,[status(thm)],[7215, 7211])).
% 48.56/31.63 tff(7217,plain,
% 48.56/31.63 (v1(constB46) <=> v1(constB46)),
% 48.56/31.63 inference(rewrite,[status(thm)],[])).
% 48.56/31.63 tff(7218,axiom,(v1(constB46)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_46_1')).
% 48.56/31.63 tff(7219,plain,
% 48.56/31.63 (v1(constB46)),
% 48.56/31.63 inference(modus_ponens,[status(thm)],[7218, 7217])).
% 48.56/31.63 tff(7220,plain,
% 48.56/31.63 (((~![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)))),
% 48.56/31.63 inference(rewrite,[status(thm)],[])).
% 48.56/31.63 tff(7221,plain,
% 48.56/31.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB45, constB46)) | v101(constB46) | (~v102(constB46)) | (~v1(constB46)))),
% 48.56/31.63 inference(quant_inst,[status(thm)],[])).
% 48.56/31.63 tff(7222,plain,
% 48.56/31.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB45, constB46)) | v101(constB46) | (~v102(constB46)) | (~v1(constB46))),
% 48.56/31.63 inference(modus_ponens,[status(thm)],[7221, 7220])).
% 48.56/31.63 tff(7223,plain,
% 48.56/31.63 (v101(constB46) | (~v102(constB46))),
% 48.56/31.63 inference(unit_resolution,[status(thm)],[7222, 303, 7199, 7219])).
% 48.56/31.63 tff(7224,plain,
% 48.56/31.63 (v101(constB46)),
% 48.56/31.63 inference(unit_resolution,[status(thm)],[7223, 7216])).
% 48.56/31.63 tff(7225,plain,
% 48.56/31.63 (((~![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)))),
% 48.56/31.63 inference(rewrite,[status(thm)],[])).
% 48.56/31.63 tff(7226,plain,
% 48.56/31.63 (((~nextState(constB45, constB46)) | (~v101(constB46)) | (~v110(constB46)) | v100(constB46)) <=> ((~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46)))),
% 48.56/31.63 inference(rewrite,[status(thm)],[])).
% 48.56/31.63 tff(7227,plain,
% 48.56/31.63 (((~![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))))),
% 48.56/31.63 inference(monotonicity,[status(thm)],[7226])).
% 48.56/31.63 tff(7228,plain,
% 48.56/31.63 (((~![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)))),
% 48.56/31.63 inference(transitivity,[status(thm)],[7227, 7225])).
% 48.56/31.63 tff(7229,plain,
% 48.56/31.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB45, constB46)) | (~v101(constB46)) | (~v110(constB46)) | v100(constB46))),
% 48.56/31.63 inference(quant_inst,[status(thm)],[])).
% 48.56/31.63 tff(7230,plain,
% 48.56/31.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46))),
% 48.56/31.63 inference(modus_ponens,[status(thm)],[7229, 7228])).
% 48.56/31.63 tff(7231,plain,
% 48.56/31.63 (v100(constB46) | (~v101(constB46)) | (~v110(constB46))),
% 48.56/31.63 inference(unit_resolution,[status(thm)],[7230, 318, 7199])).
% 48.56/31.63 tff(7232,plain,
% 48.56/31.63 (v100(constB46) | (~v110(constB46))),
% 48.56/31.63 inference(unit_resolution,[status(thm)],[7231, 7224])).
% 48.56/31.63 tff(7233,plain,
% 48.56/31.63 (v100(constB46)),
% 48.56/31.63 inference(unit_resolution,[status(thm)],[7232, 7207])).
% 48.56/31.63 tff(7234,assumption,(~v130(constB45, bitIndex2)), introduced(assumption)).
% 48.56/31.63 tff(7235,plain,
% 48.56/31.63 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB45, bitIndex2)) | v26(constB45) | v130(constB45, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB45, bitIndex2)) | v26(constB45) | v130(constB45, bitIndex2))),
% 48.56/31.63 inference(rewrite,[status(thm)],[])).
% 48.56/31.63 tff(7236,plain,
% 48.56/31.63 ((v26(constB45) | v130(constB45, bitIndex2) | (~v127(constB45, bitIndex2))) <=> ((~v127(constB45, bitIndex2)) | v26(constB45) | v130(constB45, bitIndex2))),
% 48.56/31.63 inference(rewrite,[status(thm)],[])).
% 48.56/31.63 tff(7237,plain,
% 48.56/31.63 (((~![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)))) | ((~v127(constB45, bitIndex2)) | v26(constB45) | v130(constB45, bitIndex2)))),
% 48.56/31.63 inference(monotonicity,[status(thm)],[7236])).
% 48.56/31.63 tff(7238,plain,
% 48.56/31.63 (((~![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)))) | (~v127(constB45, bitIndex2)) | v26(constB45) | v130(constB45, bitIndex2))),
% 48.56/31.63 inference(transitivity,[status(thm)],[7237, 7235])).
% 48.56/31.63 tff(7239,plain,
% 48.56/31.63 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB45) | v130(constB45, bitIndex2) | (~v127(constB45, bitIndex2)))),
% 48.56/31.63 inference(quant_inst,[status(thm)],[])).
% 48.56/31.63 tff(7240,plain,
% 48.56/31.63 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB45, bitIndex2)) | v26(constB45) | v130(constB45, bitIndex2)),
% 48.56/31.63 inference(modus_ponens,[status(thm)],[7239, 7238])).
% 48.56/31.63 tff(7241,plain,
% 48.56/31.63 ((~v127(constB45, bitIndex2)) | v26(constB45)),
% 48.56/31.63 inference(unit_resolution,[status(thm)],[7240, 1210, 7234])).
% 48.56/31.63 tff(7242,plain,
% 48.56/31.63 (~v127(constB45, bitIndex2)),
% 48.56/31.63 inference(unit_resolution,[status(thm)],[7241, 7183])).
% 48.56/31.63 tff(7243,plain,
% 48.56/31.63 (((~![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)))),
% 48.56/31.63 inference(rewrite,[status(thm)],[])).
% 48.56/31.63 tff(7244,plain,
% 48.56/31.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB45, constB46)) | v127(constB45, bitIndex2) | (~v129(constB46, bitIndex2)))),
% 48.56/31.63 inference(quant_inst,[status(thm)],[])).
% 48.56/31.63 tff(7245,plain,
% 48.56/31.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB45, constB46)) | v127(constB45, bitIndex2) | (~v129(constB46, bitIndex2))),
% 48.56/31.63 inference(modus_ponens,[status(thm)],[7244, 7243])).
% 48.56/31.63 tff(7246,plain,
% 48.56/31.63 (v127(constB45, bitIndex2) | (~v129(constB46, bitIndex2))),
% 48.56/31.63 inference(unit_resolution,[status(thm)],[7245, 1243, 7199])).
% 48.56/31.63 tff(7247,plain,
% 48.56/31.63 (~v129(constB46, bitIndex2)),
% 48.56/31.63 inference(unit_resolution,[status(thm)],[7246, 7242])).
% 48.56/31.63 tff(7248,plain,
% 48.56/31.63 (((~![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)))),
% 48.56/31.63 inference(rewrite,[status(thm)],[])).
% 48.56/31.63 tff(7249,plain,
% 48.56/31.63 (((~v90(constB46, bitIndex2)) | (~v100(constB46)) | v129(constB46, bitIndex2)) <=> ((~v90(constB46, bitIndex2)) | v129(constB46, bitIndex2) | (~v100(constB46)))),
% 48.56/31.63 inference(rewrite,[status(thm)],[])).
% 48.56/31.63 tff(7250,plain,
% 48.56/31.63 (((~![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))))),
% 48.56/31.63 inference(monotonicity,[status(thm)],[7249])).
% 48.56/31.63 tff(7251,plain,
% 48.56/31.63 (((~![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)))),
% 48.56/31.63 inference(transitivity,[status(thm)],[7250, 7248])).
% 48.56/31.63 tff(7252,plain,
% 48.56/31.63 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB46, bitIndex2)) | (~v100(constB46)) | v129(constB46, bitIndex2))),
% 48.56/31.63 inference(quant_inst,[status(thm)],[])).
% 48.56/31.63 tff(7253,plain,
% 48.56/31.63 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB46, bitIndex2)) | v129(constB46, bitIndex2) | (~v100(constB46))),
% 48.56/31.63 inference(modus_ponens,[status(thm)],[7252, 7251])).
% 48.56/31.63 tff(7254,plain,
% 48.56/31.63 ((~v90(constB46, bitIndex2)) | (~v100(constB46))),
% 48.56/31.63 inference(unit_resolution,[status(thm)],[7253, 1258, 7247])).
% 48.56/31.63 tff(7255,plain,
% 48.56/31.63 (~v90(constB46, bitIndex2)),
% 48.56/31.63 inference(unit_resolution,[status(thm)],[7254, 7233])).
% 48.56/31.63 tff(7256,plain,
% 48.56/31.63 ((~v1(constB47)) <=> (~v1(constB47))),
% 48.56/31.63 inference(rewrite,[status(thm)],[])).
% 48.56/31.63 tff(7257,axiom,(~v1(constB47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_47_1_1')).
% 48.56/31.63 tff(7258,plain,
% 48.56/31.63 (~v1(constB47)),
% 48.56/31.63 inference(modus_ponens,[status(thm)],[7257, 7256])).
% 48.56/31.63 tff(7259,plain,
% 48.56/31.63 (nextState(constB46, constB47) <=> nextState(constB46, constB47)),
% 48.56/31.63 inference(rewrite,[status(thm)],[])).
% 48.56/31.63 tff(7260,axiom,(nextState(constB46, constB47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_46_1')).
% 48.56/31.63 tff(7261,plain,
% 48.56/31.63 (nextState(constB46, constB47)),
% 48.56/31.63 inference(modus_ponens,[status(thm)],[7260, 7259])).
% 48.56/31.63 tff(7262,plain,
% 48.56/31.63 (((~![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)))),
% 48.56/31.63 inference(rewrite,[status(thm)],[])).
% 48.56/31.63 tff(7263,plain,
% 48.56/31.63 (((~nextState(constB46, constB47)) | (~v101(constB47)) | v1(constB47)) <=> (v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47)))),
% 48.56/31.63 inference(rewrite,[status(thm)],[])).
% 48.56/31.63 tff(7264,plain,
% 48.56/31.63 (((~![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))))),
% 48.56/31.64 inference(monotonicity,[status(thm)],[7263])).
% 48.56/31.64 tff(7265,plain,
% 48.56/31.64 (((~![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)))),
% 48.56/31.64 inference(transitivity,[status(thm)],[7264, 7262])).
% 48.56/31.64 tff(7266,plain,
% 48.56/31.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB46, constB47)) | (~v101(constB47)) | v1(constB47))),
% 48.56/31.64 inference(quant_inst,[status(thm)],[])).
% 48.56/31.64 tff(7267,plain,
% 48.56/31.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47))),
% 48.56/31.64 inference(modus_ponens,[status(thm)],[7266, 7265])).
% 48.56/31.64 tff(7268,plain,
% 48.56/31.64 (~v101(constB47)),
% 48.56/31.64 inference(unit_resolution,[status(thm)],[7267, 49, 7261, 7258])).
% 48.56/31.64 tff(7269,plain,
% 48.56/31.64 (((~![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)))),
% 48.56/31.64 inference(rewrite,[status(thm)],[])).
% 48.56/31.64 tff(7270,plain,
% 48.56/31.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB46, constB47)) | v101(constB47) | (~v100(constB47)))),
% 48.56/31.64 inference(quant_inst,[status(thm)],[])).
% 48.56/31.64 tff(7271,plain,
% 48.56/31.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB46, constB47)) | v101(constB47) | (~v100(constB47))),
% 48.56/31.64 inference(modus_ponens,[status(thm)],[7270, 7269])).
% 48.56/31.64 tff(7272,plain,
% 48.56/31.64 (v101(constB47) | (~v100(constB47))),
% 48.56/31.64 inference(unit_resolution,[status(thm)],[7271, 66, 7261])).
% 48.56/31.64 tff(7273,plain,
% 48.56/31.64 (~v100(constB47)),
% 48.56/31.64 inference(unit_resolution,[status(thm)],[7272, 7268])).
% 48.56/31.64 tff(7274,plain,
% 48.56/31.64 (((~![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)))),
% 48.56/31.64 inference(rewrite,[status(thm)],[])).
% 48.56/31.64 tff(7275,plain,
% 48.56/31.64 (((~nextState(constB46, constB47)) | v90(constB46, bitIndex2) | v100(constB47) | (~v90(constB47, bitIndex2))) <=> (v90(constB46, bitIndex2) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex2)))),
% 48.56/31.64 inference(rewrite,[status(thm)],[])).
% 48.56/31.64 tff(7276,plain,
% 48.56/31.64 (((~![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))))),
% 48.56/31.64 inference(monotonicity,[status(thm)],[7275])).
% 48.56/31.64 tff(7277,plain,
% 48.56/31.64 (((~![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)))),
% 48.56/31.64 inference(transitivity,[status(thm)],[7276, 7274])).
% 48.56/31.64 tff(7278,plain,
% 48.56/31.64 ((~![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)))),
% 48.56/31.64 inference(quant_inst,[status(thm)],[])).
% 48.56/31.64 tff(7279,plain,
% 48.56/31.64 ((~![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))),
% 48.56/31.64 inference(modus_ponens,[status(thm)],[7278, 7277])).
% 48.56/31.64 tff(7280,plain,
% 48.56/31.64 (v90(constB46, bitIndex2) | v100(constB47) | (~v90(constB47, bitIndex2))),
% 48.56/31.64 inference(unit_resolution,[status(thm)],[7279, 81, 7261])).
% 48.56/31.64 tff(7281,plain,
% 48.56/31.64 (v90(constB46, bitIndex2) | (~v90(constB47, bitIndex2))),
% 48.56/31.64 inference(unit_resolution,[status(thm)],[7280, 7273])).
% 48.56/31.64 tff(7282,plain,
% 48.56/31.64 (~v90(constB47, bitIndex2)),
% 48.56/31.64 inference(unit_resolution,[status(thm)],[7281, 7255])).
% 48.56/31.64 tff(7283,assumption,(v130(constB45, bitIndex0)), introduced(assumption)).
% 48.56/31.64 tff(7284,plain,
% 48.56/31.64 (((~![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))),
% 48.56/31.64 inference(rewrite,[status(thm)],[])).
% 48.56/31.64 tff(7285,plain,
% 48.56/31.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB45) | (~v130(constB45, bitIndex0)) | v127(constB45, bitIndex0))),
% 48.56/31.64 inference(quant_inst,[status(thm)],[])).
% 48.56/31.64 tff(7286,plain,
% 48.56/31.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB45) | (~v130(constB45, bitIndex0)) | v127(constB45, bitIndex0)),
% 48.56/31.64 inference(modus_ponens,[status(thm)],[7285, 7284])).
% 48.56/31.64 tff(7287,plain,
% 48.56/31.64 (v26(constB45) | v127(constB45, bitIndex0)),
% 48.56/31.64 inference(unit_resolution,[status(thm)],[7286, 926, 7283])).
% 48.56/31.64 tff(7288,plain,
% 48.56/31.64 (v127(constB45, bitIndex0)),
% 48.56/31.64 inference(unit_resolution,[status(thm)],[7287, 7183])).
% 48.56/31.64 tff(7289,plain,
% 48.56/31.64 (((~![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))),
% 48.56/31.64 inference(rewrite,[status(thm)],[])).
% 48.56/31.64 tff(7290,plain,
% 48.56/31.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB45, constB46)) | (~v127(constB45, bitIndex0)) | v129(constB46, bitIndex0))),
% 48.56/31.64 inference(quant_inst,[status(thm)],[])).
% 48.56/31.64 tff(7291,plain,
% 48.56/31.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB45, constB46)) | (~v127(constB45, bitIndex0)) | v129(constB46, bitIndex0)),
% 48.56/31.64 inference(modus_ponens,[status(thm)],[7290, 7289])).
% 48.56/31.64 tff(7292,plain,
% 48.56/31.64 ((~v127(constB45, bitIndex0)) | v129(constB46, bitIndex0)),
% 48.56/31.64 inference(unit_resolution,[status(thm)],[7291, 944, 7199])).
% 48.56/31.64 tff(7293,plain,
% 48.56/31.64 (v129(constB46, bitIndex0)),
% 48.56/31.64 inference(unit_resolution,[status(thm)],[7292, 7288])).
% 48.56/31.64 tff(7294,plain,
% 48.56/31.64 (((~![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)))),
% 48.56/31.64 inference(rewrite,[status(thm)],[])).
% 48.56/31.64 tff(7295,plain,
% 48.56/31.64 ((v90(constB46, bitIndex0) | (~v100(constB46)) | (~v129(constB46, bitIndex0))) <=> (v90(constB46, bitIndex0) | (~v129(constB46, bitIndex0)) | (~v100(constB46)))),
% 48.56/31.64 inference(rewrite,[status(thm)],[])).
% 48.56/31.64 tff(7296,plain,
% 48.56/31.64 (((~![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))))),
% 48.56/31.64 inference(monotonicity,[status(thm)],[7295])).
% 48.56/31.64 tff(7297,plain,
% 48.56/31.64 (((~![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)))),
% 48.56/31.64 inference(transitivity,[status(thm)],[7296, 7294])).
% 48.56/31.64 tff(7298,plain,
% 48.56/31.64 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB46, bitIndex0) | (~v100(constB46)) | (~v129(constB46, bitIndex0)))),
% 48.56/31.64 inference(quant_inst,[status(thm)],[])).
% 48.56/31.64 tff(7299,plain,
% 48.56/31.64 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB46, bitIndex0) | (~v129(constB46, bitIndex0)) | (~v100(constB46))),
% 48.56/31.64 inference(modus_ponens,[status(thm)],[7298, 7297])).
% 48.56/31.64 tff(7300,plain,
% 48.56/31.64 (v90(constB46, bitIndex0) | (~v100(constB46))),
% 48.56/31.64 inference(unit_resolution,[status(thm)],[7299, 1088, 7293])).
% 48.56/31.64 tff(7301,plain,
% 48.56/31.64 (v90(constB46, bitIndex0)),
% 48.56/31.64 inference(unit_resolution,[status(thm)],[7300, 7233])).
% 48.56/31.64 tff(7302,plain,
% 48.56/31.64 (((~![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))),
% 48.56/31.64 inference(rewrite,[status(thm)],[])).
% 48.56/31.64 tff(7303,plain,
% 48.56/31.64 (((~nextState(constB46, constB47)) | (~v90(constB46, bitIndex0)) | v100(constB47) | v90(constB47, bitIndex0)) <=> ((~v90(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, bitIndex0))),
% 48.56/31.64 inference(rewrite,[status(thm)],[])).
% 48.56/31.64 tff(7304,plain,
% 48.56/31.64 (((~![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)))),
% 48.56/31.64 inference(monotonicity,[status(thm)],[7303])).
% 48.56/31.64 tff(7305,plain,
% 48.56/31.64 (((~![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))),
% 48.56/31.64 inference(transitivity,[status(thm)],[7304, 7302])).
% 48.56/31.64 tff(7306,plain,
% 48.56/31.64 ((~![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))),
% 48.56/31.64 inference(quant_inst,[status(thm)],[])).
% 48.56/31.64 tff(7307,plain,
% 48.56/31.64 ((~![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)),
% 48.56/31.64 inference(modus_ponens,[status(thm)],[7306, 7305])).
% 48.56/31.64 tff(7308,plain,
% 48.56/31.64 ((~v90(constB46, bitIndex0)) | v100(constB47) | v90(constB47, bitIndex0)),
% 48.56/31.64 inference(unit_resolution,[status(thm)],[7307, 1124, 7261])).
% 48.56/31.64 tff(7309,plain,
% 48.56/31.64 ((~v90(constB46, bitIndex0)) | v90(constB47, bitIndex0)),
% 48.56/31.64 inference(unit_resolution,[status(thm)],[7308, 7273])).
% 48.56/31.64 tff(7310,plain,
% 48.56/31.64 (v90(constB47, bitIndex0)),
% 48.56/31.64 inference(unit_resolution,[status(thm)],[7309, 7301])).
% 48.56/31.64 tff(7311,assumption,(~v130(constB45, bitIndex1)), introduced(assumption)).
% 48.56/31.64 tff(7312,plain,
% 48.56/31.64 (((~![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))),
% 48.56/31.64 inference(rewrite,[status(thm)],[])).
% 48.56/31.64 tff(7313,plain,
% 48.56/31.64 ((v26(constB45) | v130(constB45, bitIndex1) | (~v127(constB45, bitIndex1))) <=> ((~v127(constB45, bitIndex1)) | v26(constB45) | v130(constB45, bitIndex1))),
% 48.56/31.64 inference(rewrite,[status(thm)],[])).
% 48.56/31.64 tff(7314,plain,
% 48.56/31.64 (((~![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)))),
% 48.56/31.64 inference(monotonicity,[status(thm)],[7313])).
% 48.56/31.64 tff(7315,plain,
% 48.56/31.64 (((~![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))),
% 48.56/31.64 inference(transitivity,[status(thm)],[7314, 7312])).
% 48.56/31.64 tff(7316,plain,
% 48.56/31.64 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB45) | v130(constB45, bitIndex1) | (~v127(constB45, bitIndex1)))),
% 48.56/31.64 inference(quant_inst,[status(thm)],[])).
% 48.56/31.64 tff(7317,plain,
% 48.56/31.64 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB45, bitIndex1)) | v26(constB45) | v130(constB45, bitIndex1)),
% 48.56/31.64 inference(modus_ponens,[status(thm)],[7316, 7315])).
% 48.56/31.64 tff(7318,plain,
% 48.56/31.64 ((~v127(constB45, bitIndex1)) | v26(constB45)),
% 48.56/31.64 inference(unit_resolution,[status(thm)],[7317, 450, 7311])).
% 48.56/31.64 tff(7319,plain,
% 48.56/31.64 (~v127(constB45, bitIndex1)),
% 48.56/31.64 inference(unit_resolution,[status(thm)],[7318, 7183])).
% 48.56/31.64 tff(7320,plain,
% 48.56/31.64 (((~![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)))),
% 48.56/31.64 inference(rewrite,[status(thm)],[])).
% 48.56/31.64 tff(7321,plain,
% 48.56/31.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB45, constB46)) | v127(constB45, bitIndex1) | (~v129(constB46, bitIndex1)))),
% 48.56/31.64 inference(quant_inst,[status(thm)],[])).
% 48.56/31.64 tff(7322,plain,
% 48.56/31.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB45, constB46)) | v127(constB45, bitIndex1) | (~v129(constB46, bitIndex1))),
% 48.56/31.64 inference(modus_ponens,[status(thm)],[7321, 7320])).
% 48.56/31.64 tff(7323,plain,
% 48.56/31.64 (v127(constB45, bitIndex1) | (~v129(constB46, bitIndex1))),
% 48.56/31.64 inference(unit_resolution,[status(thm)],[7322, 468, 7199])).
% 48.56/31.64 tff(7324,plain,
% 48.56/31.64 (~v129(constB46, bitIndex1)),
% 48.56/31.64 inference(unit_resolution,[status(thm)],[7323, 7319])).
% 48.56/31.64 tff(7325,plain,
% 48.56/31.64 (((~![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)))),
% 48.56/31.64 inference(rewrite,[status(thm)],[])).
% 48.56/31.64 tff(7326,plain,
% 48.56/31.64 (((~v90(constB46, bitIndex1)) | (~v100(constB46)) | v129(constB46, bitIndex1)) <=> ((~v90(constB46, bitIndex1)) | v129(constB46, bitIndex1) | (~v100(constB46)))),
% 48.56/31.64 inference(rewrite,[status(thm)],[])).
% 48.56/31.64 tff(7327,plain,
% 48.56/31.64 (((~![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))))),
% 48.56/31.64 inference(monotonicity,[status(thm)],[7326])).
% 48.56/31.64 tff(7328,plain,
% 48.56/31.64 (((~![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)))),
% 48.56/31.64 inference(transitivity,[status(thm)],[7327, 7325])).
% 48.56/31.64 tff(7329,plain,
% 48.56/31.64 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB46, bitIndex1)) | (~v100(constB46)) | v129(constB46, bitIndex1))),
% 48.56/31.64 inference(quant_inst,[status(thm)],[])).
% 48.56/31.64 tff(7330,plain,
% 48.56/31.64 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB46, bitIndex1)) | v129(constB46, bitIndex1) | (~v100(constB46))),
% 48.56/31.64 inference(modus_ponens,[status(thm)],[7329, 7328])).
% 48.56/31.64 tff(7331,plain,
% 48.56/31.64 ((~v90(constB46, bitIndex1)) | (~v100(constB46))),
% 48.56/31.64 inference(unit_resolution,[status(thm)],[7330, 483, 7324])).
% 48.56/31.64 tff(7332,plain,
% 48.56/31.64 (~v90(constB46, bitIndex1)),
% 48.56/31.64 inference(unit_resolution,[status(thm)],[7331, 7233])).
% 48.56/31.64 tff(7333,plain,
% 48.56/31.64 (((~![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)))),
% 48.56/31.64 inference(rewrite,[status(thm)],[])).
% 48.56/31.64 tff(7334,plain,
% 48.56/31.64 (((~nextState(constB46, constB47)) | v90(constB46, bitIndex1) | v100(constB47) | (~v90(constB47, bitIndex1))) <=> (v90(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, bitIndex1)))),
% 48.56/31.64 inference(rewrite,[status(thm)],[])).
% 48.56/31.64 tff(7335,plain,
% 48.56/31.64 (((~![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))))),
% 48.56/31.64 inference(monotonicity,[status(thm)],[7334])).
% 48.56/31.64 tff(7336,plain,
% 48.56/31.64 (((~![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)))),
% 48.56/31.64 inference(transitivity,[status(thm)],[7335, 7333])).
% 48.56/31.64 tff(7337,plain,
% 48.56/31.64 ((~![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)))),
% 48.56/31.64 inference(quant_inst,[status(thm)],[])).
% 48.56/31.64 tff(7338,plain,
% 48.56/31.64 ((~![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))),
% 48.56/31.64 inference(modus_ponens,[status(thm)],[7337, 7336])).
% 48.56/31.64 tff(7339,plain,
% 48.56/31.64 (v90(constB46, bitIndex1) | v100(constB47) | (~v90(constB47, bitIndex1))),
% 48.56/31.64 inference(unit_resolution,[status(thm)],[7338, 102, 7261])).
% 48.56/31.64 tff(7340,plain,
% 48.56/31.64 (v90(constB46, bitIndex1) | (~v90(constB47, bitIndex1))),
% 48.56/31.64 inference(unit_resolution,[status(thm)],[7339, 7273])).
% 48.56/31.64 tff(7341,plain,
% 48.56/31.64 (~v90(constB47, bitIndex1)),
% 48.56/31.64 inference(unit_resolution,[status(thm)],[7340, 7332])).
% 48.56/31.64 tff(7342,assumption,(~v120(constB47)), introduced(assumption)).
% 48.56/31.64 tff(7343,plain,
% 48.56/31.64 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB47, bitIndex0)) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2) | v120(constB47))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB47, bitIndex0)) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2) | v120(constB47))),
% 48.56/31.64 inference(rewrite,[status(thm)],[])).
% 48.56/31.64 tff(7344,plain,
% 48.56/31.64 (((~v90(constB47, bitIndex0)) | v120(constB47) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2)) <=> ((~v90(constB47, bitIndex0)) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2) | v120(constB47))),
% 48.56/31.64 inference(rewrite,[status(thm)],[])).
% 48.56/31.64 tff(7345,plain,
% 48.56/31.64 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB47, bitIndex0)) | v120(constB47) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB47, bitIndex0)) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2) | v120(constB47)))),
% 48.56/31.64 inference(monotonicity,[status(thm)],[7344])).
% 48.56/31.64 tff(7346,plain,
% 48.56/31.64 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB47, bitIndex0)) | v120(constB47) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB47, bitIndex0)) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2) | v120(constB47))),
% 48.56/31.64 inference(transitivity,[status(thm)],[7345, 7343])).
% 48.56/31.64 tff(7347,plain,
% 48.56/31.64 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB47, bitIndex0)) | v120(constB47) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2))),
% 48.56/31.64 inference(quant_inst,[status(thm)],[])).
% 48.56/31.64 tff(7348,plain,
% 48.56/31.64 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB47, bitIndex0)) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2) | v120(constB47)),
% 48.56/31.64 inference(modus_ponens,[status(thm)],[7347, 7346])).
% 48.56/31.64 tff(7349,plain,
% 48.56/31.64 ((~v90(constB47, bitIndex0)) | v90(constB47, bitIndex1) | v90(constB47, bitIndex2)),
% 48.56/31.64 inference(unit_resolution,[status(thm)],[7348, 1285, 7342])).
% 48.56/31.64 tff(7350,plain,
% 48.56/31.64 ($false),
% 48.56/31.64 inference(unit_resolution,[status(thm)],[7349, 7341, 7310, 7282])).
% 48.56/31.64 tff(7351,plain,(v26(constB45) | v120(constB47) | v130(constB45, bitIndex2) | v130(constB45, bitIndex1) | (~v130(constB45, bitIndex0)) | (~v113(constB45))), inference(lemma,lemma(discharge,[]))).
% 48.56/31.64 tff(7352,plain,
% 48.56/31.64 (v120(constB47) | v130(constB45, bitIndex2) | v130(constB45, bitIndex1) | (~v130(constB45, bitIndex0)) | (~v113(constB45))),
% 48.56/31.64 inference(unit_resolution,[status(thm)],[7351, 7182])).
% 48.56/31.64 tff(7353,plain,
% 48.56/31.64 (v120(constB47)),
% 48.56/31.64 inference(unit_resolution,[status(thm)],[7352, 7178, 7171, 7129, 7122])).
% 48.56/31.64 tff(7354,plain,
% 48.56/31.64 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB47) | (~v120(constB47)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB47) | (~v120(constB47)))),
% 48.56/31.64 inference(rewrite,[status(thm)],[])).
% 48.56/31.64 tff(7355,plain,
% 48.56/31.64 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB47) | (~v120(constB47)))),
% 48.56/31.64 inference(quant_inst,[status(thm)],[])).
% 48.56/31.64 tff(7356,plain,
% 48.56/31.64 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB47) | (~v120(constB47))),
% 48.56/31.64 inference(modus_ponens,[status(thm)],[7355, 7354])).
% 48.56/31.64 tff(7357,plain,
% 48.56/31.64 (v118(constB47)),
% 48.56/31.64 inference(unit_resolution,[status(thm)],[7356, 1302, 7353])).
% 48.56/31.64 tff(7358,plain,
% 48.56/31.64 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB47) | (~v118(constB47)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB47) | (~v118(constB47)))),
% 48.56/31.64 inference(rewrite,[status(thm)],[])).
% 48.56/31.64 tff(7359,plain,
% 48.56/31.64 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB47) | (~v118(constB47)))),
% 48.56/31.64 inference(quant_inst,[status(thm)],[])).
% 48.56/31.64 tff(7360,plain,
% 48.56/31.64 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB47) | (~v118(constB47))),
% 48.56/31.64 inference(modus_ponens,[status(thm)],[7359, 7358])).
% 48.56/31.64 tff(7361,plain,
% 48.56/31.64 (v117(constB47)),
% 48.56/31.64 inference(unit_resolution,[status(thm)],[7360, 166, 7357])).
% 48.56/31.64 tff(7362,plain,
% 48.56/31.64 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB47) | (~v117(constB47)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB47) | (~v117(constB47)))),
% 48.56/31.64 inference(rewrite,[status(thm)],[])).
% 48.56/31.64 tff(7363,plain,
% 48.56/31.64 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB47) | (~v117(constB47)))),
% 48.56/31.64 inference(quant_inst,[status(thm)],[])).
% 48.56/31.64 tff(7364,plain,
% 48.56/31.64 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB47) | (~v117(constB47))),
% 48.56/31.64 inference(modus_ponens,[status(thm)],[7363, 7362])).
% 48.56/31.64 tff(7365,plain,
% 48.56/31.64 (v116(constB47)),
% 48.56/31.64 inference(unit_resolution,[status(thm)],[7364, 177, 7361])).
% 48.56/31.64 tff(7366,plain,
% 48.56/31.64 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB47) | (~v116(constB47)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB47) | (~v116(constB47)))),
% 48.56/31.64 inference(rewrite,[status(thm)],[])).
% 48.56/31.64 tff(7367,plain,
% 48.56/31.64 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB47) | (~v116(constB47)))),
% 48.56/31.64 inference(quant_inst,[status(thm)],[])).
% 48.56/31.64 tff(7368,plain,
% 48.56/31.64 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB47) | (~v116(constB47))),
% 48.56/31.64 inference(modus_ponens,[status(thm)],[7367, 7366])).
% 48.56/31.64 tff(7369,plain,
% 48.56/31.64 (v115(constB47)),
% 48.56/31.64 inference(unit_resolution,[status(thm)],[7368, 188, 7365])).
% 48.56/31.64 tff(7370,plain,
% 48.56/31.64 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB47) | (~v115(constB47)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB47) | (~v115(constB47)))),
% 48.56/31.64 inference(rewrite,[status(thm)],[])).
% 48.56/31.64 tff(7371,plain,
% 48.56/31.64 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB47) | (~v115(constB47)))),
% 48.56/31.64 inference(quant_inst,[status(thm)],[])).
% 48.56/31.64 tff(7372,plain,
% 48.56/31.64 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB47) | (~v115(constB47))),
% 48.56/31.64 inference(modus_ponens,[status(thm)],[7371, 7370])).
% 48.56/31.64 tff(7373,plain,
% 48.56/31.64 (v114(constB47)),
% 48.56/31.64 inference(unit_resolution,[status(thm)],[7372, 199, 7369])).
% 48.56/31.64 tff(7374,plain,
% 48.56/31.64 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB47) | (~v114(constB47)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB47) | (~v114(constB47)))),
% 48.56/31.64 inference(rewrite,[status(thm)],[])).
% 48.56/31.64 tff(7375,plain,
% 48.56/31.64 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB47) | (~v114(constB47)))),
% 48.56/31.64 inference(quant_inst,[status(thm)],[])).
% 48.56/31.64 tff(7376,plain,
% 48.56/31.64 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB47) | (~v114(constB47))),
% 48.56/31.64 inference(modus_ponens,[status(thm)],[7375, 7374])).
% 48.56/31.64 tff(7377,plain,
% 48.56/31.64 (v113(constB47)),
% 48.56/31.64 inference(unit_resolution,[status(thm)],[7376, 210, 7373])).
% 48.56/31.64 tff(7378,assumption,(~v108(constB47)), introduced(assumption)).
% 48.56/31.64 tff(7379,plain,
% 48.56/31.64 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB47) | (~v112(constB47)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB47) | (~v112(constB47)))),
% 48.56/31.64 inference(rewrite,[status(thm)],[])).
% 48.56/31.64 tff(7380,plain,
% 48.56/31.64 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB47) | (~v112(constB47)))),
% 48.56/31.64 inference(quant_inst,[status(thm)],[])).
% 48.56/31.64 tff(7381,plain,
% 48.56/31.64 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB47) | (~v112(constB47))),
% 48.56/31.64 inference(modus_ponens,[status(thm)],[7380, 7379])).
% 48.56/31.64 tff(7382,plain,
% 48.56/31.64 (~v112(constB47)),
% 48.56/31.64 inference(unit_resolution,[status(thm)],[7381, 236, 7378])).
% 48.56/31.64 tff(7383,plain,
% 48.56/31.64 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB47) | (~v26(constB47)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB47) | (~v26(constB47)))),
% 48.56/31.64 inference(rewrite,[status(thm)],[])).
% 48.56/31.64 tff(7384,plain,
% 48.56/31.64 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB47) | (~v26(constB47)))),
% 48.56/31.64 inference(quant_inst,[status(thm)],[])).
% 48.56/31.64 tff(7385,plain,
% 48.56/31.64 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB47) | (~v26(constB47))),
% 48.56/31.64 inference(modus_ponens,[status(thm)],[7384, 7383])).
% 48.56/31.64 tff(7386,plain,
% 48.56/31.64 (~v26(constB47)),
% 48.56/31.64 inference(unit_resolution,[status(thm)],[7385, 961, 7378])).
% 48.56/31.64 tff(7387,assumption,(v113(constB47)), introduced(assumption)).
% 48.56/31.64 tff(7388,plain,
% 48.56/31.64 (((~![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)))),
% 48.56/31.64 inference(rewrite,[status(thm)],[])).
% 48.56/31.64 tff(7389,plain,
% 48.56/31.64 ((v26(constB47) | (~v113(constB47)) | v112(constB47)) <=> (v26(constB47) | v112(constB47) | (~v113(constB47)))),
% 48.56/31.64 inference(rewrite,[status(thm)],[])).
% 48.56/31.64 tff(7390,plain,
% 48.56/31.64 (((~![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))))),
% 48.56/31.64 inference(monotonicity,[status(thm)],[7389])).
% 48.56/31.64 tff(7391,plain,
% 48.56/31.64 (((~![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)))),
% 48.56/31.64 inference(transitivity,[status(thm)],[7390, 7388])).
% 48.56/31.64 tff(7392,plain,
% 48.56/31.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB47) | (~v113(constB47)) | v112(constB47))),
% 48.56/31.64 inference(quant_inst,[status(thm)],[])).
% 48.56/31.64 tff(7393,plain,
% 48.56/31.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB47) | v112(constB47) | (~v113(constB47))),
% 48.56/31.65 inference(modus_ponens,[status(thm)],[7392, 7391])).
% 48.56/31.65 tff(7394,plain,
% 48.56/31.65 (v26(constB47) | v112(constB47)),
% 48.56/31.65 inference(unit_resolution,[status(thm)],[7393, 224, 7387])).
% 48.56/31.65 tff(7395,plain,
% 48.56/31.65 ($false),
% 48.56/31.65 inference(unit_resolution,[status(thm)],[7394, 7386, 7382])).
% 48.56/31.65 tff(7396,plain,(v108(constB47) | (~v113(constB47))), inference(lemma,lemma(discharge,[]))).
% 48.56/31.65 tff(7397,plain,
% 48.56/31.65 (v108(constB47)),
% 48.56/31.65 inference(unit_resolution,[status(thm)],[7396, 7377])).
% 48.56/31.65 tff(7398,plain,
% 48.56/31.65 (nextState(constB47, constB48) <=> nextState(constB47, constB48)),
% 48.56/31.65 inference(rewrite,[status(thm)],[])).
% 48.56/31.65 tff(7399,axiom,(nextState(constB47, constB48)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_47_1')).
% 48.56/31.65 tff(7400,plain,
% 48.56/31.65 (nextState(constB47, constB48)),
% 48.56/31.65 inference(modus_ponens,[status(thm)],[7399, 7398])).
% 48.56/31.65 tff(7401,plain,
% 48.56/31.65 (((~![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)))),
% 48.56/31.65 inference(rewrite,[status(thm)],[])).
% 48.56/31.65 tff(7402,plain,
% 48.56/31.65 (((~nextState(constB47, constB48)) | (~v108(constB47)) | v110(constB48)) <=> ((~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47)))),
% 48.56/31.65 inference(rewrite,[status(thm)],[])).
% 48.56/31.65 tff(7403,plain,
% 48.56/31.65 (((~![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))))),
% 48.56/31.65 inference(monotonicity,[status(thm)],[7402])).
% 48.56/31.65 tff(7404,plain,
% 48.56/31.65 (((~![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)))),
% 48.56/31.65 inference(transitivity,[status(thm)],[7403, 7401])).
% 48.56/31.65 tff(7405,plain,
% 48.56/31.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB47, constB48)) | (~v108(constB47)) | v110(constB48))),
% 48.56/31.65 inference(quant_inst,[status(thm)],[])).
% 48.56/31.65 tff(7406,plain,
% 48.56/31.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47))),
% 48.56/31.65 inference(modus_ponens,[status(thm)],[7405, 7404])).
% 48.56/31.65 tff(7407,plain,
% 48.56/31.65 (v110(constB48) | (~v108(constB47))),
% 48.56/31.65 inference(unit_resolution,[status(thm)],[7406, 253, 7400])).
% 48.56/31.65 tff(7408,plain,
% 48.56/31.65 (v110(constB48)),
% 48.56/31.65 inference(unit_resolution,[status(thm)],[7407, 7397])).
% 48.56/31.65 tff(7409,plain,
% 48.56/31.65 (((~![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)))),
% 48.56/31.65 inference(rewrite,[status(thm)],[])).
% 48.56/31.65 tff(7410,plain,
% 48.56/31.65 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB47) | (~nextState(constB47, constB48)) | (~v104(constB48)))),
% 48.56/31.65 inference(quant_inst,[status(thm)],[])).
% 48.56/31.65 tff(7411,plain,
% 48.56/31.65 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB47) | (~nextState(constB47, constB48)) | (~v104(constB48))),
% 48.56/31.65 inference(modus_ponens,[status(thm)],[7410, 7409])).
% 48.56/31.65 tff(7412,plain,
% 48.56/31.65 (~v104(constB48)),
% 48.56/31.65 inference(unit_resolution,[status(thm)],[7411, 271, 7400, 7258])).
% 48.56/31.65 tff(7413,plain,
% 48.56/31.65 (((~![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))),
% 48.56/31.65 inference(rewrite,[status(thm)],[])).
% 48.56/31.65 tff(7414,plain,
% 48.56/31.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB47, constB48)) | v102(constB48) | v104(constB48))),
% 48.56/31.65 inference(quant_inst,[status(thm)],[])).
% 48.56/31.65 tff(7415,plain,
% 48.56/31.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB47, constB48)) | v102(constB48) | v104(constB48)),
% 48.56/31.65 inference(modus_ponens,[status(thm)],[7414, 7413])).
% 48.56/31.65 tff(7416,plain,
% 48.56/31.65 (v102(constB48) | v104(constB48)),
% 48.56/31.65 inference(unit_resolution,[status(thm)],[7415, 285, 7400])).
% 48.56/31.65 tff(7417,plain,
% 48.56/31.65 (v102(constB48)),
% 48.56/31.65 inference(unit_resolution,[status(thm)],[7416, 7412])).
% 48.56/31.65 tff(7418,plain,
% 48.56/31.65 (v1(constB48) <=> v1(constB48)),
% 48.56/31.65 inference(rewrite,[status(thm)],[])).
% 48.56/31.65 tff(7419,axiom,(v1(constB48)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_48_1')).
% 48.56/31.65 tff(7420,plain,
% 48.56/31.65 (v1(constB48)),
% 48.56/31.65 inference(modus_ponens,[status(thm)],[7419, 7418])).
% 48.56/31.65 tff(7421,plain,
% 48.56/31.65 (((~![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)))),
% 48.56/31.65 inference(rewrite,[status(thm)],[])).
% 48.56/31.65 tff(7422,plain,
% 48.56/31.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB47, constB48)) | v101(constB48) | (~v102(constB48)) | (~v1(constB48)))),
% 48.56/31.65 inference(quant_inst,[status(thm)],[])).
% 48.56/31.65 tff(7423,plain,
% 48.56/31.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB47, constB48)) | v101(constB48) | (~v102(constB48)) | (~v1(constB48))),
% 48.56/31.65 inference(modus_ponens,[status(thm)],[7422, 7421])).
% 48.56/31.65 tff(7424,plain,
% 48.56/31.65 (v101(constB48) | (~v102(constB48))),
% 48.56/31.65 inference(unit_resolution,[status(thm)],[7423, 303, 7400, 7420])).
% 48.56/31.65 tff(7425,plain,
% 48.56/31.65 (v101(constB48)),
% 48.56/31.65 inference(unit_resolution,[status(thm)],[7424, 7417])).
% 48.56/31.65 tff(7426,plain,
% 48.56/31.65 (((~![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)))),
% 48.56/31.65 inference(rewrite,[status(thm)],[])).
% 48.56/31.65 tff(7427,plain,
% 48.56/31.65 (((~nextState(constB47, constB48)) | (~v101(constB48)) | (~v110(constB48)) | v100(constB48)) <=> ((~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48)))),
% 48.56/31.65 inference(rewrite,[status(thm)],[])).
% 48.56/31.65 tff(7428,plain,
% 48.56/31.65 (((~![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))))),
% 48.56/31.65 inference(monotonicity,[status(thm)],[7427])).
% 48.56/31.65 tff(7429,plain,
% 48.56/31.65 (((~![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)))),
% 48.56/31.65 inference(transitivity,[status(thm)],[7428, 7426])).
% 48.56/31.65 tff(7430,plain,
% 48.56/31.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB47, constB48)) | (~v101(constB48)) | (~v110(constB48)) | v100(constB48))),
% 48.56/31.65 inference(quant_inst,[status(thm)],[])).
% 48.56/31.65 tff(7431,plain,
% 48.56/31.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48))),
% 48.56/31.65 inference(modus_ponens,[status(thm)],[7430, 7429])).
% 48.56/31.65 tff(7432,plain,
% 48.56/31.65 (v100(constB48) | (~v101(constB48)) | (~v110(constB48))),
% 48.56/31.65 inference(unit_resolution,[status(thm)],[7431, 318, 7400])).
% 48.56/31.65 tff(7433,plain,
% 48.56/31.65 (v100(constB48) | (~v110(constB48))),
% 48.56/31.65 inference(unit_resolution,[status(thm)],[7432, 7425])).
% 48.56/31.65 tff(7434,plain,
% 48.56/31.65 (v100(constB48)),
% 48.56/31.65 inference(unit_resolution,[status(thm)],[7433, 7408])).
% 48.56/31.65 tff(7435,plain,
% 48.56/31.65 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB47)) | (~v130(constB47, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB47)) | (~v130(constB47, bitIndex2)))),
% 48.56/31.65 inference(rewrite,[status(thm)],[])).
% 48.56/31.65 tff(7436,plain,
% 48.56/31.65 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB47)) | (~v130(constB47, bitIndex2)))),
% 48.56/31.65 inference(quant_inst,[status(thm)],[])).
% 48.56/31.65 tff(7437,plain,
% 48.56/31.65 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB47)) | (~v130(constB47, bitIndex2))),
% 48.56/31.65 inference(modus_ponens,[status(thm)],[7436, 7435])).
% 48.56/31.65 tff(7438,plain,
% 48.56/31.65 (~v130(constB47, bitIndex2)),
% 48.56/31.65 inference(unit_resolution,[status(thm)],[7437, 1383, 7353])).
% 48.56/31.65 tff(7439,assumption,(v26(constB47)), introduced(assumption)).
% 48.56/31.65 tff(7440,plain,
% 48.56/31.65 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB47))),
% 48.56/31.65 inference(quant_inst,[status(thm)],[])).
% 48.56/31.65 tff(7441,plain,
% 48.56/31.65 ($false),
% 48.56/31.65 inference(unit_resolution,[status(thm)],[7440, 16, 7439])).
% 48.56/31.65 tff(7442,plain,(~v26(constB47)), inference(lemma,lemma(discharge,[]))).
% 48.56/31.65 tff(7443,plain,
% 48.56/31.65 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB47, bitIndex2)) | v26(constB47) | v130(constB47, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB47, bitIndex2)) | v26(constB47) | v130(constB47, bitIndex2))),
% 48.56/31.65 inference(rewrite,[status(thm)],[])).
% 48.56/31.65 tff(7444,plain,
% 48.56/31.65 ((v26(constB47) | v130(constB47, bitIndex2) | (~v127(constB47, bitIndex2))) <=> ((~v127(constB47, bitIndex2)) | v26(constB47) | v130(constB47, bitIndex2))),
% 48.56/31.65 inference(rewrite,[status(thm)],[])).
% 48.56/31.65 tff(7445,plain,
% 48.56/31.65 (((~![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)))) | ((~v127(constB47, bitIndex2)) | v26(constB47) | v130(constB47, bitIndex2)))),
% 48.56/31.65 inference(monotonicity,[status(thm)],[7444])).
% 48.56/31.65 tff(7446,plain,
% 48.56/31.65 (((~![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)))) | (~v127(constB47, bitIndex2)) | v26(constB47) | v130(constB47, bitIndex2))),
% 48.56/31.65 inference(transitivity,[status(thm)],[7445, 7443])).
% 48.56/31.65 tff(7447,plain,
% 48.56/31.65 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB47) | v130(constB47, bitIndex2) | (~v127(constB47, bitIndex2)))),
% 48.56/31.65 inference(quant_inst,[status(thm)],[])).
% 48.56/31.65 tff(7448,plain,
% 48.56/31.65 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB47, bitIndex2)) | v26(constB47) | v130(constB47, bitIndex2)),
% 48.56/31.65 inference(modus_ponens,[status(thm)],[7447, 7446])).
% 48.56/31.65 tff(7449,plain,
% 48.56/31.65 ((~v127(constB47, bitIndex2)) | v130(constB47, bitIndex2)),
% 48.56/31.65 inference(unit_resolution,[status(thm)],[7448, 1210, 7442])).
% 48.56/31.65 tff(7450,plain,
% 48.56/31.65 (~v127(constB47, bitIndex2)),
% 48.56/31.65 inference(unit_resolution,[status(thm)],[7449, 7438])).
% 48.56/31.65 tff(7451,plain,
% 48.56/31.65 (((~![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)))),
% 48.56/31.65 inference(rewrite,[status(thm)],[])).
% 48.56/31.65 tff(7452,plain,
% 48.56/31.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB47, constB48)) | v127(constB47, bitIndex2) | (~v129(constB48, bitIndex2)))),
% 48.56/31.65 inference(quant_inst,[status(thm)],[])).
% 48.56/31.65 tff(7453,plain,
% 48.56/31.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB47, constB48)) | v127(constB47, bitIndex2) | (~v129(constB48, bitIndex2))),
% 48.56/31.65 inference(modus_ponens,[status(thm)],[7452, 7451])).
% 48.56/31.65 tff(7454,plain,
% 48.56/31.65 (v127(constB47, bitIndex2) | (~v129(constB48, bitIndex2))),
% 48.56/31.65 inference(unit_resolution,[status(thm)],[7453, 1243, 7400])).
% 48.56/31.65 tff(7455,plain,
% 48.56/31.65 (~v129(constB48, bitIndex2)),
% 48.56/31.65 inference(unit_resolution,[status(thm)],[7454, 7450])).
% 48.56/31.65 tff(7456,plain,
% 48.56/31.65 (((~![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)))),
% 48.56/31.65 inference(rewrite,[status(thm)],[])).
% 48.56/31.65 tff(7457,plain,
% 48.56/31.65 (((~v90(constB48, bitIndex2)) | (~v100(constB48)) | v129(constB48, bitIndex2)) <=> ((~v90(constB48, bitIndex2)) | v129(constB48, bitIndex2) | (~v100(constB48)))),
% 48.56/31.65 inference(rewrite,[status(thm)],[])).
% 48.56/31.65 tff(7458,plain,
% 48.56/31.65 (((~![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))))),
% 48.56/31.65 inference(monotonicity,[status(thm)],[7457])).
% 48.56/31.65 tff(7459,plain,
% 48.56/31.65 (((~![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)))),
% 48.56/31.65 inference(transitivity,[status(thm)],[7458, 7456])).
% 48.56/31.65 tff(7460,plain,
% 48.56/31.65 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB48, bitIndex2)) | (~v100(constB48)) | v129(constB48, bitIndex2))),
% 48.56/31.65 inference(quant_inst,[status(thm)],[])).
% 48.56/31.65 tff(7461,plain,
% 48.56/31.65 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB48, bitIndex2)) | v129(constB48, bitIndex2) | (~v100(constB48))),
% 48.56/31.65 inference(modus_ponens,[status(thm)],[7460, 7459])).
% 48.56/31.65 tff(7462,plain,
% 48.56/31.65 ((~v90(constB48, bitIndex2)) | (~v100(constB48))),
% 48.56/31.65 inference(unit_resolution,[status(thm)],[7461, 1258, 7455])).
% 48.56/31.65 tff(7463,plain,
% 48.56/31.65 (~v90(constB48, bitIndex2)),
% 48.56/31.65 inference(unit_resolution,[status(thm)],[7462, 7434])).
% 48.56/31.65 tff(7464,plain,
% 48.56/31.65 ((~v1(constB49)) <=> (~v1(constB49))),
% 48.56/31.65 inference(rewrite,[status(thm)],[])).
% 48.56/31.65 tff(7465,axiom,(~v1(constB49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_49_1_1')).
% 48.56/31.65 tff(7466,plain,
% 48.56/31.65 (~v1(constB49)),
% 48.56/31.65 inference(modus_ponens,[status(thm)],[7465, 7464])).
% 48.56/31.65 tff(7467,plain,
% 48.56/31.65 (nextState(constB48, constB49) <=> nextState(constB48, constB49)),
% 48.56/31.65 inference(rewrite,[status(thm)],[])).
% 48.56/31.65 tff(7468,axiom,(nextState(constB48, constB49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_48_1')).
% 48.56/31.65 tff(7469,plain,
% 48.56/31.65 (nextState(constB48, constB49)),
% 48.56/31.65 inference(modus_ponens,[status(thm)],[7468, 7467])).
% 48.56/31.65 tff(7470,plain,
% 48.56/31.65 (((~![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)))),
% 48.56/31.65 inference(rewrite,[status(thm)],[])).
% 48.56/31.65 tff(7471,plain,
% 48.56/31.65 (((~nextState(constB48, constB49)) | (~v101(constB49)) | v1(constB49)) <=> (v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49)))),
% 48.56/31.65 inference(rewrite,[status(thm)],[])).
% 48.56/31.65 tff(7472,plain,
% 48.56/31.65 (((~![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))))),
% 48.56/31.65 inference(monotonicity,[status(thm)],[7471])).
% 48.56/31.65 tff(7473,plain,
% 48.56/31.65 (((~![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)))),
% 48.56/31.65 inference(transitivity,[status(thm)],[7472, 7470])).
% 48.56/31.65 tff(7474,plain,
% 48.56/31.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB48, constB49)) | (~v101(constB49)) | v1(constB49))),
% 48.56/31.65 inference(quant_inst,[status(thm)],[])).
% 48.56/31.65 tff(7475,plain,
% 48.56/31.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49))),
% 48.56/31.65 inference(modus_ponens,[status(thm)],[7474, 7473])).
% 48.56/31.65 tff(7476,plain,
% 48.56/31.65 (~v101(constB49)),
% 48.56/31.65 inference(unit_resolution,[status(thm)],[7475, 49, 7469, 7466])).
% 48.56/31.65 tff(7477,plain,
% 48.56/31.65 (((~![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)))),
% 48.56/31.65 inference(rewrite,[status(thm)],[])).
% 48.56/31.65 tff(7478,plain,
% 48.56/31.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB48, constB49)) | v101(constB49) | (~v100(constB49)))),
% 48.56/31.65 inference(quant_inst,[status(thm)],[])).
% 48.56/31.65 tff(7479,plain,
% 48.56/31.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB48, constB49)) | v101(constB49) | (~v100(constB49))),
% 48.56/31.65 inference(modus_ponens,[status(thm)],[7478, 7477])).
% 48.56/31.65 tff(7480,plain,
% 48.56/31.65 (v101(constB49) | (~v100(constB49))),
% 48.56/31.65 inference(unit_resolution,[status(thm)],[7479, 66, 7469])).
% 48.56/31.65 tff(7481,plain,
% 48.56/31.65 (~v100(constB49)),
% 48.56/31.65 inference(unit_resolution,[status(thm)],[7480, 7476])).
% 48.56/31.65 tff(7482,plain,
% 48.56/31.65 (((~![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)))),
% 48.56/31.65 inference(rewrite,[status(thm)],[])).
% 48.56/31.65 tff(7483,plain,
% 48.56/31.65 (((~nextState(constB48, constB49)) | v90(constB48, bitIndex2) | v100(constB49) | (~v90(constB49, bitIndex2))) <=> (v90(constB48, bitIndex2) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex2)))),
% 48.56/31.65 inference(rewrite,[status(thm)],[])).
% 48.56/31.65 tff(7484,plain,
% 48.56/31.65 (((~![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))))),
% 48.56/31.65 inference(monotonicity,[status(thm)],[7483])).
% 48.56/31.65 tff(7485,plain,
% 48.56/31.65 (((~![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)))),
% 48.56/31.65 inference(transitivity,[status(thm)],[7484, 7482])).
% 48.56/31.65 tff(7486,plain,
% 48.56/31.65 ((~![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)))),
% 48.56/31.65 inference(quant_inst,[status(thm)],[])).
% 48.56/31.65 tff(7487,plain,
% 48.56/31.65 ((~![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))),
% 48.56/31.65 inference(modus_ponens,[status(thm)],[7486, 7485])).
% 48.56/31.65 tff(7488,plain,
% 48.56/31.65 (v90(constB48, bitIndex2) | v100(constB49) | (~v90(constB49, bitIndex2))),
% 48.56/31.65 inference(unit_resolution,[status(thm)],[7487, 81, 7469])).
% 48.56/31.65 tff(7489,plain,
% 48.56/31.65 (v90(constB48, bitIndex2) | (~v90(constB49, bitIndex2))),
% 48.56/31.65 inference(unit_resolution,[status(thm)],[7488, 7481])).
% 48.56/31.65 tff(7490,plain,
% 48.56/31.65 (~v90(constB49, bitIndex2)),
% 48.56/31.65 inference(unit_resolution,[status(thm)],[7489, 7463])).
% 48.56/31.65 tff(7491,plain,
% 48.56/31.65 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB47)) | v130(constB47, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB47)) | v130(constB47, bitIndex1))),
% 48.56/31.65 inference(rewrite,[status(thm)],[])).
% 48.56/31.65 tff(7492,plain,
% 48.56/31.65 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB47)) | v130(constB47, bitIndex1))),
% 48.56/31.65 inference(quant_inst,[status(thm)],[])).
% 48.56/31.65 tff(7493,plain,
% 48.56/31.65 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB47)) | v130(constB47, bitIndex1)),
% 48.56/31.65 inference(modus_ponens,[status(thm)],[7492, 7491])).
% 48.56/31.65 tff(7494,plain,
% 48.56/31.65 (v130(constB47, bitIndex1)),
% 48.56/31.65 inference(unit_resolution,[status(thm)],[7493, 1450, 7353])).
% 48.56/31.65 tff(7495,plain,
% 48.56/31.65 (((~![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))),
% 48.56/31.65 inference(rewrite,[status(thm)],[])).
% 48.56/31.65 tff(7496,plain,
% 48.56/31.65 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB47) | (~v130(constB47, bitIndex1)) | v127(constB47, bitIndex1))),
% 48.56/31.65 inference(quant_inst,[status(thm)],[])).
% 48.56/31.65 tff(7497,plain,
% 48.56/31.65 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB47) | (~v130(constB47, bitIndex1)) | v127(constB47, bitIndex1)),
% 48.56/31.65 inference(modus_ponens,[status(thm)],[7496, 7495])).
% 48.56/31.65 tff(7498,plain,
% 48.56/31.65 ((~v130(constB47, bitIndex1)) | v127(constB47, bitIndex1)),
% 48.56/31.65 inference(unit_resolution,[status(thm)],[7497, 681, 7442])).
% 48.56/31.65 tff(7499,plain,
% 48.56/31.65 (v127(constB47, bitIndex1)),
% 48.56/31.65 inference(unit_resolution,[status(thm)],[7498, 7494])).
% 48.56/31.65 tff(7500,plain,
% 48.56/31.65 (((~![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))),
% 48.56/31.65 inference(rewrite,[status(thm)],[])).
% 48.56/31.65 tff(7501,plain,
% 48.56/31.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB47, constB48)) | (~v127(constB47, bitIndex1)) | v129(constB48, bitIndex1))),
% 48.56/31.65 inference(quant_inst,[status(thm)],[])).
% 48.56/31.65 tff(7502,plain,
% 48.56/31.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB47, constB48)) | (~v127(constB47, bitIndex1)) | v129(constB48, bitIndex1)),
% 48.56/31.65 inference(modus_ponens,[status(thm)],[7501, 7500])).
% 48.56/31.65 tff(7503,plain,
% 48.56/31.65 ((~v127(constB47, bitIndex1)) | v129(constB48, bitIndex1)),
% 48.56/31.65 inference(unit_resolution,[status(thm)],[7502, 696, 7400])).
% 48.56/31.65 tff(7504,plain,
% 48.56/31.65 (v129(constB48, bitIndex1)),
% 48.56/31.65 inference(unit_resolution,[status(thm)],[7503, 7499])).
% 48.56/31.65 tff(7505,plain,
% 48.56/31.65 (((~![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)))),
% 48.56/31.65 inference(rewrite,[status(thm)],[])).
% 48.56/31.65 tff(7506,plain,
% 48.56/31.65 ((v90(constB48, bitIndex1) | (~v100(constB48)) | (~v129(constB48, bitIndex1))) <=> (v90(constB48, bitIndex1) | (~v129(constB48, bitIndex1)) | (~v100(constB48)))),
% 48.56/31.65 inference(rewrite,[status(thm)],[])).
% 48.56/31.65 tff(7507,plain,
% 48.56/31.65 (((~![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))))),
% 48.56/31.65 inference(monotonicity,[status(thm)],[7506])).
% 48.56/31.65 tff(7508,plain,
% 48.56/31.65 (((~![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)))),
% 48.56/31.65 inference(transitivity,[status(thm)],[7507, 7505])).
% 48.56/31.65 tff(7509,plain,
% 48.56/31.65 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB48, bitIndex1) | (~v100(constB48)) | (~v129(constB48, bitIndex1)))),
% 48.56/31.65 inference(quant_inst,[status(thm)],[])).
% 48.56/31.65 tff(7510,plain,
% 48.56/31.65 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB48, bitIndex1) | (~v129(constB48, bitIndex1)) | (~v100(constB48))),
% 48.56/31.65 inference(modus_ponens,[status(thm)],[7509, 7508])).
% 48.56/31.65 tff(7511,plain,
% 48.56/31.65 (v90(constB48, bitIndex1) | (~v100(constB48))),
% 48.56/31.65 inference(unit_resolution,[status(thm)],[7510, 711, 7504])).
% 48.56/31.65 tff(7512,plain,
% 48.56/31.65 (v90(constB48, bitIndex1)),
% 48.56/31.65 inference(unit_resolution,[status(thm)],[7511, 7434])).
% 48.56/31.65 tff(7513,plain,
% 48.56/31.65 (((~![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))),
% 48.56/31.65 inference(rewrite,[status(thm)],[])).
% 48.56/31.65 tff(7514,plain,
% 48.56/31.65 (((~nextState(constB48, constB49)) | (~v90(constB48, bitIndex1)) | v100(constB49) | v90(constB49, bitIndex1)) <=> ((~v90(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, bitIndex1))),
% 48.56/31.65 inference(rewrite,[status(thm)],[])).
% 48.56/31.65 tff(7515,plain,
% 48.56/31.65 (((~![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)))),
% 48.56/31.65 inference(monotonicity,[status(thm)],[7514])).
% 48.56/31.65 tff(7516,plain,
% 48.56/31.65 (((~![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))),
% 48.56/31.65 inference(transitivity,[status(thm)],[7515, 7513])).
% 48.56/31.65 tff(7517,plain,
% 48.56/31.65 ((~![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))),
% 48.56/31.65 inference(quant_inst,[status(thm)],[])).
% 48.56/31.65 tff(7518,plain,
% 48.56/31.65 ((~![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)),
% 48.56/31.65 inference(modus_ponens,[status(thm)],[7517, 7516])).
% 48.56/31.65 tff(7519,plain,
% 48.56/31.65 ((~v90(constB48, bitIndex1)) | v100(constB49) | v90(constB49, bitIndex1)),
% 48.56/31.65 inference(unit_resolution,[status(thm)],[7518, 747, 7469])).
% 48.56/31.65 tff(7520,plain,
% 48.56/31.65 ((~v90(constB48, bitIndex1)) | v90(constB49, bitIndex1)),
% 48.56/31.65 inference(unit_resolution,[status(thm)],[7519, 7481])).
% 48.56/31.65 tff(7521,plain,
% 48.56/31.65 (v90(constB49, bitIndex1)),
% 48.56/31.65 inference(unit_resolution,[status(thm)],[7520, 7512])).
% 48.56/31.65 tff(7522,plain,
% 48.56/31.65 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB47)) | (~v130(constB47, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB47)) | (~v130(constB47, bitIndex0)))),
% 48.56/31.65 inference(rewrite,[status(thm)],[])).
% 48.56/31.65 tff(7523,plain,
% 48.56/31.65 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB47)) | (~v130(constB47, bitIndex0)))),
% 48.56/31.65 inference(quant_inst,[status(thm)],[])).
% 48.56/31.65 tff(7524,plain,
% 48.56/31.65 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB47)) | (~v130(constB47, bitIndex0))),
% 48.56/31.65 inference(modus_ponens,[status(thm)],[7523, 7522])).
% 48.56/31.65 tff(7525,plain,
% 48.56/31.65 (~v130(constB47, bitIndex0)),
% 48.56/31.66 inference(unit_resolution,[status(thm)],[7524, 1492, 7353])).
% 48.56/31.66 tff(7526,plain,
% 48.56/31.66 (((~![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))),
% 48.56/31.66 inference(rewrite,[status(thm)],[])).
% 48.56/31.66 tff(7527,plain,
% 48.56/31.66 ((v26(constB47) | v130(constB47, bitIndex0) | (~v127(constB47, bitIndex0))) <=> ((~v127(constB47, bitIndex0)) | v26(constB47) | v130(constB47, bitIndex0))),
% 48.56/31.66 inference(rewrite,[status(thm)],[])).
% 48.56/31.66 tff(7528,plain,
% 48.56/31.66 (((~![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)))),
% 48.56/31.66 inference(monotonicity,[status(thm)],[7527])).
% 48.56/31.66 tff(7529,plain,
% 48.56/31.66 (((~![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))),
% 48.56/31.66 inference(transitivity,[status(thm)],[7528, 7526])).
% 48.56/31.66 tff(7530,plain,
% 48.56/31.66 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB47) | v130(constB47, bitIndex0) | (~v127(constB47, bitIndex0)))),
% 48.56/31.66 inference(quant_inst,[status(thm)],[])).
% 48.56/31.66 tff(7531,plain,
% 48.56/31.66 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB47, bitIndex0)) | v26(constB47) | v130(constB47, bitIndex0)),
% 48.56/31.66 inference(modus_ponens,[status(thm)],[7530, 7529])).
% 48.56/31.66 tff(7532,plain,
% 48.56/31.66 ((~v127(constB47, bitIndex0)) | v130(constB47, bitIndex0)),
% 48.56/31.66 inference(unit_resolution,[status(thm)],[7531, 524, 7442])).
% 48.56/31.66 tff(7533,plain,
% 48.56/31.66 (~v127(constB47, bitIndex0)),
% 48.56/31.66 inference(unit_resolution,[status(thm)],[7532, 7525])).
% 48.56/31.66 tff(7534,plain,
% 48.56/31.66 (((~![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)))),
% 48.56/31.66 inference(rewrite,[status(thm)],[])).
% 48.56/31.66 tff(7535,plain,
% 48.56/31.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB47, constB48)) | v127(constB47, bitIndex0) | (~v129(constB48, bitIndex0)))),
% 48.56/31.66 inference(quant_inst,[status(thm)],[])).
% 48.56/31.66 tff(7536,plain,
% 48.56/31.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB47, constB48)) | v127(constB47, bitIndex0) | (~v129(constB48, bitIndex0))),
% 48.56/31.66 inference(modus_ponens,[status(thm)],[7535, 7534])).
% 48.56/31.66 tff(7537,plain,
% 48.56/31.66 (v127(constB47, bitIndex0) | (~v129(constB48, bitIndex0))),
% 48.56/31.66 inference(unit_resolution,[status(thm)],[7536, 542, 7400])).
% 48.56/31.66 tff(7538,plain,
% 48.56/31.66 (~v129(constB48, bitIndex0)),
% 48.56/31.66 inference(unit_resolution,[status(thm)],[7537, 7533])).
% 48.56/31.66 tff(7539,plain,
% 48.56/31.66 (((~![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)))),
% 48.56/31.66 inference(rewrite,[status(thm)],[])).
% 48.56/31.66 tff(7540,plain,
% 48.56/31.66 (((~v90(constB48, bitIndex0)) | (~v100(constB48)) | v129(constB48, bitIndex0)) <=> ((~v90(constB48, bitIndex0)) | v129(constB48, bitIndex0) | (~v100(constB48)))),
% 48.56/31.66 inference(rewrite,[status(thm)],[])).
% 48.56/31.66 tff(7541,plain,
% 48.56/31.66 (((~![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))))),
% 48.56/31.66 inference(monotonicity,[status(thm)],[7540])).
% 48.56/31.66 tff(7542,plain,
% 48.56/31.66 (((~![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)))),
% 48.56/31.66 inference(transitivity,[status(thm)],[7541, 7539])).
% 48.56/31.66 tff(7543,plain,
% 48.56/31.66 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB48, bitIndex0)) | (~v100(constB48)) | v129(constB48, bitIndex0))),
% 48.56/31.66 inference(quant_inst,[status(thm)],[])).
% 48.56/31.66 tff(7544,plain,
% 48.56/31.66 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB48, bitIndex0)) | v129(constB48, bitIndex0) | (~v100(constB48))),
% 48.56/31.66 inference(modus_ponens,[status(thm)],[7543, 7542])).
% 48.56/31.66 tff(7545,plain,
% 48.56/31.66 ((~v90(constB48, bitIndex0)) | (~v100(constB48))),
% 48.56/31.66 inference(unit_resolution,[status(thm)],[7544, 557, 7538])).
% 48.56/31.66 tff(7546,plain,
% 48.56/31.66 (~v90(constB48, bitIndex0)),
% 48.56/31.66 inference(unit_resolution,[status(thm)],[7545, 7434])).
% 48.56/31.66 tff(7547,plain,
% 48.56/31.66 (((~![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)))),
% 48.56/31.66 inference(rewrite,[status(thm)],[])).
% 48.56/31.66 tff(7548,plain,
% 48.56/31.66 (((~nextState(constB48, constB49)) | v90(constB48, bitIndex0) | v100(constB49) | (~v90(constB49, bitIndex0))) <=> (v90(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, bitIndex0)))),
% 48.56/31.66 inference(rewrite,[status(thm)],[])).
% 48.56/31.66 tff(7549,plain,
% 48.56/31.66 (((~![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))))),
% 48.56/31.66 inference(monotonicity,[status(thm)],[7548])).
% 48.56/31.66 tff(7550,plain,
% 48.56/31.66 (((~![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)))),
% 48.56/31.66 inference(transitivity,[status(thm)],[7549, 7547])).
% 48.56/31.66 tff(7551,plain,
% 48.56/31.66 ((~![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)))),
% 48.56/31.66 inference(quant_inst,[status(thm)],[])).
% 48.56/31.66 tff(7552,plain,
% 48.56/31.66 ((~![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))),
% 48.56/31.66 inference(modus_ponens,[status(thm)],[7551, 7550])).
% 48.56/31.66 tff(7553,plain,
% 48.56/31.66 (v90(constB48, bitIndex0) | v100(constB49) | (~v90(constB49, bitIndex0))),
% 48.56/31.66 inference(unit_resolution,[status(thm)],[7552, 123, 7469])).
% 48.56/31.66 tff(7554,plain,
% 48.56/31.66 (v90(constB48, bitIndex0) | (~v90(constB49, bitIndex0))),
% 48.56/31.66 inference(unit_resolution,[status(thm)],[7553, 7481])).
% 48.56/31.66 tff(7555,plain,
% 48.56/31.66 (~v90(constB49, bitIndex0)),
% 48.56/31.66 inference(unit_resolution,[status(thm)],[7554, 7546])).
% 48.56/31.66 tff(7556,plain,
% 48.56/31.66 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex2) | v121(constB49))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex2) | v121(constB49))),
% 48.56/31.66 inference(rewrite,[status(thm)],[])).
% 48.56/31.66 tff(7557,plain,
% 48.56/31.66 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex2) | v121(constB49))),
% 48.56/31.66 inference(quant_inst,[status(thm)],[])).
% 48.56/31.66 tff(7558,plain,
% 48.56/31.66 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB49, bitIndex0) | (~v90(constB49, bitIndex1)) | v90(constB49, bitIndex2) | v121(constB49)),
% 48.56/31.66 inference(modus_ponens,[status(thm)],[7557, 7556])).
% 48.56/31.66 tff(7559,plain,
% 48.56/31.66 (v121(constB49)),
% 48.56/31.66 inference(unit_resolution,[status(thm)],[7558, 1551, 7555, 7521, 7490])).
% 48.56/31.66 tff(7560,plain,
% 48.56/31.66 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB49) | (~v121(constB49)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB49) | (~v121(constB49)))),
% 48.56/31.66 inference(rewrite,[status(thm)],[])).
% 48.56/31.66 tff(7561,plain,
% 48.56/31.66 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB49) | (~v121(constB49)))),
% 48.56/31.66 inference(quant_inst,[status(thm)],[])).
% 48.56/31.66 tff(7562,plain,
% 48.56/31.66 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB49) | (~v121(constB49))),
% 48.56/31.66 inference(modus_ponens,[status(thm)],[7561, 7560])).
% 48.56/31.66 tff(7563,plain,
% 48.56/31.66 (v117(constB49)),
% 48.56/31.66 inference(unit_resolution,[status(thm)],[7562, 1562, 7559])).
% 48.56/31.66 tff(7564,plain,
% 48.56/31.66 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB49) | (~v117(constB49)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB49) | (~v117(constB49)))),
% 48.56/31.66 inference(rewrite,[status(thm)],[])).
% 48.56/31.66 tff(7565,plain,
% 48.56/31.66 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB49) | (~v117(constB49)))),
% 48.56/31.66 inference(quant_inst,[status(thm)],[])).
% 48.56/31.66 tff(7566,plain,
% 48.56/31.66 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB49) | (~v117(constB49))),
% 48.56/31.66 inference(modus_ponens,[status(thm)],[7565, 7564])).
% 48.56/31.66 tff(7567,plain,
% 48.56/31.66 (v116(constB49)),
% 48.56/31.66 inference(unit_resolution,[status(thm)],[7566, 177, 7563])).
% 48.56/31.66 tff(7568,plain,
% 48.56/31.66 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB49) | (~v116(constB49)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB49) | (~v116(constB49)))),
% 48.56/31.66 inference(rewrite,[status(thm)],[])).
% 48.56/31.66 tff(7569,plain,
% 48.56/31.66 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB49) | (~v116(constB49)))),
% 48.56/31.66 inference(quant_inst,[status(thm)],[])).
% 48.56/31.66 tff(7570,plain,
% 48.56/31.66 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB49) | (~v116(constB49))),
% 48.56/31.66 inference(modus_ponens,[status(thm)],[7569, 7568])).
% 48.56/31.66 tff(7571,plain,
% 48.56/31.66 (v115(constB49)),
% 48.56/31.66 inference(unit_resolution,[status(thm)],[7570, 188, 7567])).
% 48.56/31.66 tff(7572,plain,
% 48.56/31.66 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB49) | (~v115(constB49)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB49) | (~v115(constB49)))),
% 48.56/31.66 inference(rewrite,[status(thm)],[])).
% 48.56/31.66 tff(7573,plain,
% 48.56/31.66 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB49) | (~v115(constB49)))),
% 48.56/31.66 inference(quant_inst,[status(thm)],[])).
% 48.56/31.66 tff(7574,plain,
% 48.56/31.66 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB49) | (~v115(constB49))),
% 48.56/31.66 inference(modus_ponens,[status(thm)],[7573, 7572])).
% 48.56/31.66 tff(7575,plain,
% 48.56/31.66 (v114(constB49)),
% 48.56/31.66 inference(unit_resolution,[status(thm)],[7574, 199, 7571])).
% 48.56/31.66 tff(7576,plain,
% 48.56/31.66 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB49) | (~v114(constB49)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB49) | (~v114(constB49)))),
% 48.56/31.66 inference(rewrite,[status(thm)],[])).
% 48.56/31.66 tff(7577,plain,
% 48.56/31.66 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB49) | (~v114(constB49)))),
% 48.56/31.66 inference(quant_inst,[status(thm)],[])).
% 48.56/31.66 tff(7578,plain,
% 48.56/31.66 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB49) | (~v114(constB49))),
% 48.56/31.66 inference(modus_ponens,[status(thm)],[7577, 7576])).
% 48.56/31.66 tff(7579,plain,
% 48.56/31.66 (v113(constB49)),
% 48.56/31.66 inference(unit_resolution,[status(thm)],[7578, 210, 7575])).
% 48.56/31.66 tff(7580,assumption,(~v108(constB49)), introduced(assumption)).
% 48.56/31.66 tff(7581,plain,
% 48.56/31.66 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB49) | (~v112(constB49)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB49) | (~v112(constB49)))),
% 48.56/31.66 inference(rewrite,[status(thm)],[])).
% 48.56/31.66 tff(7582,plain,
% 48.56/31.66 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB49) | (~v112(constB49)))),
% 48.56/31.66 inference(quant_inst,[status(thm)],[])).
% 48.56/31.66 tff(7583,plain,
% 48.56/31.66 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB49) | (~v112(constB49))),
% 48.56/31.66 inference(modus_ponens,[status(thm)],[7582, 7581])).
% 48.56/31.66 tff(7584,plain,
% 48.56/31.66 (~v112(constB49)),
% 48.56/31.66 inference(unit_resolution,[status(thm)],[7583, 236, 7580])).
% 48.56/31.66 tff(7585,plain,
% 48.56/31.66 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB49) | (~v26(constB49)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB49) | (~v26(constB49)))),
% 48.56/31.66 inference(rewrite,[status(thm)],[])).
% 48.56/31.66 tff(7586,plain,
% 48.56/31.66 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB49) | (~v26(constB49)))),
% 48.56/31.66 inference(quant_inst,[status(thm)],[])).
% 48.56/31.66 tff(7587,plain,
% 48.56/31.66 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB49) | (~v26(constB49))),
% 48.56/31.66 inference(modus_ponens,[status(thm)],[7586, 7585])).
% 48.56/31.66 tff(7588,plain,
% 48.56/31.66 (~v26(constB49)),
% 48.56/31.66 inference(unit_resolution,[status(thm)],[7587, 961, 7580])).
% 48.56/31.66 tff(7589,assumption,(v113(constB49)), introduced(assumption)).
% 48.56/31.66 tff(7590,plain,
% 48.56/31.66 (((~![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)))),
% 48.56/31.66 inference(rewrite,[status(thm)],[])).
% 48.56/31.66 tff(7591,plain,
% 48.56/31.66 ((v26(constB49) | (~v113(constB49)) | v112(constB49)) <=> (v26(constB49) | v112(constB49) | (~v113(constB49)))),
% 48.56/31.66 inference(rewrite,[status(thm)],[])).
% 48.56/31.66 tff(7592,plain,
% 48.56/31.66 (((~![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))))),
% 48.56/31.66 inference(monotonicity,[status(thm)],[7591])).
% 48.56/31.66 tff(7593,plain,
% 48.56/31.66 (((~![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)))),
% 48.56/31.66 inference(transitivity,[status(thm)],[7592, 7590])).
% 48.56/31.66 tff(7594,plain,
% 48.56/31.66 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB49) | (~v113(constB49)) | v112(constB49))),
% 48.56/31.66 inference(quant_inst,[status(thm)],[])).
% 48.56/31.66 tff(7595,plain,
% 48.56/31.66 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB49) | v112(constB49) | (~v113(constB49))),
% 48.56/31.66 inference(modus_ponens,[status(thm)],[7594, 7593])).
% 48.56/31.66 tff(7596,plain,
% 48.56/31.66 (v26(constB49) | v112(constB49)),
% 48.56/31.66 inference(unit_resolution,[status(thm)],[7595, 224, 7589])).
% 48.56/31.66 tff(7597,plain,
% 48.56/31.66 ($false),
% 48.56/31.66 inference(unit_resolution,[status(thm)],[7596, 7588, 7584])).
% 48.56/31.66 tff(7598,plain,(v108(constB49) | (~v113(constB49))), inference(lemma,lemma(discharge,[]))).
% 48.56/31.66 tff(7599,plain,
% 48.56/31.66 (v108(constB49)),
% 48.56/31.66 inference(unit_resolution,[status(thm)],[7598, 7579])).
% 48.56/31.66 tff(7600,plain,
% 48.56/31.66 (nextState(constB49, constB50) <=> nextState(constB49, constB50)),
% 48.56/31.66 inference(rewrite,[status(thm)],[])).
% 48.56/31.66 tff(7601,axiom,(nextState(constB49, constB50)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_49_1')).
% 48.56/31.66 tff(7602,plain,
% 48.56/31.66 (nextState(constB49, constB50)),
% 48.56/31.66 inference(modus_ponens,[status(thm)],[7601, 7600])).
% 48.56/31.66 tff(7603,plain,
% 48.56/31.66 (((~![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)))),
% 48.56/31.66 inference(rewrite,[status(thm)],[])).
% 48.56/31.66 tff(7604,plain,
% 48.56/31.66 (((~nextState(constB49, constB50)) | (~v108(constB49)) | v110(constB50)) <=> ((~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49)))),
% 48.56/31.66 inference(rewrite,[status(thm)],[])).
% 48.56/31.66 tff(7605,plain,
% 48.56/31.66 (((~![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))))),
% 48.56/31.66 inference(monotonicity,[status(thm)],[7604])).
% 48.56/31.66 tff(7606,plain,
% 48.56/31.66 (((~![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)))),
% 48.56/31.66 inference(transitivity,[status(thm)],[7605, 7603])).
% 48.56/31.66 tff(7607,plain,
% 48.56/31.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB49, constB50)) | (~v108(constB49)) | v110(constB50))),
% 48.56/31.66 inference(quant_inst,[status(thm)],[])).
% 48.56/31.66 tff(7608,plain,
% 48.56/31.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49))),
% 48.56/31.66 inference(modus_ponens,[status(thm)],[7607, 7606])).
% 48.56/31.66 tff(7609,plain,
% 48.56/31.66 (v110(constB50) | (~v108(constB49))),
% 48.56/31.66 inference(unit_resolution,[status(thm)],[7608, 253, 7602])).
% 48.56/31.66 tff(7610,plain,
% 48.56/31.66 (v110(constB50)),
% 48.56/31.66 inference(unit_resolution,[status(thm)],[7609, 7599])).
% 48.56/31.66 tff(7611,plain,
% 48.56/31.66 (((~![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)))),
% 48.56/31.66 inference(rewrite,[status(thm)],[])).
% 48.56/31.66 tff(7612,plain,
% 48.56/31.66 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB49) | (~nextState(constB49, constB50)) | (~v104(constB50)))),
% 48.56/31.66 inference(quant_inst,[status(thm)],[])).
% 48.56/31.66 tff(7613,plain,
% 48.56/31.66 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB49) | (~nextState(constB49, constB50)) | (~v104(constB50))),
% 48.56/31.66 inference(modus_ponens,[status(thm)],[7612, 7611])).
% 48.56/31.66 tff(7614,plain,
% 48.56/31.66 (~v104(constB50)),
% 48.56/31.66 inference(unit_resolution,[status(thm)],[7613, 271, 7602, 7466])).
% 48.56/31.66 tff(7615,plain,
% 48.56/31.66 (((~![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))),
% 48.56/31.66 inference(rewrite,[status(thm)],[])).
% 48.56/31.66 tff(7616,plain,
% 48.56/31.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB49, constB50)) | v102(constB50) | v104(constB50))),
% 48.56/31.66 inference(quant_inst,[status(thm)],[])).
% 48.56/31.66 tff(7617,plain,
% 48.56/31.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB49, constB50)) | v102(constB50) | v104(constB50)),
% 48.56/31.66 inference(modus_ponens,[status(thm)],[7616, 7615])).
% 48.56/31.66 tff(7618,plain,
% 48.56/31.66 (v102(constB50) | v104(constB50)),
% 48.56/31.66 inference(unit_resolution,[status(thm)],[7617, 285, 7602])).
% 48.56/31.66 tff(7619,plain,
% 48.56/31.66 (v102(constB50)),
% 48.56/31.66 inference(unit_resolution,[status(thm)],[7618, 7614])).
% 48.56/31.66 tff(7620,plain,
% 48.56/31.66 (v1(constB50) <=> v1(constB50)),
% 48.56/31.66 inference(rewrite,[status(thm)],[])).
% 48.56/31.66 tff(7621,axiom,(v1(constB50)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_50_1')).
% 48.56/31.66 tff(7622,plain,
% 48.56/31.66 (v1(constB50)),
% 48.56/31.66 inference(modus_ponens,[status(thm)],[7621, 7620])).
% 48.56/31.66 tff(7623,plain,
% 48.56/31.66 (((~![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)))),
% 48.56/31.66 inference(rewrite,[status(thm)],[])).
% 48.56/31.66 tff(7624,plain,
% 48.56/31.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB49, constB50)) | v101(constB50) | (~v102(constB50)) | (~v1(constB50)))),
% 48.56/31.66 inference(quant_inst,[status(thm)],[])).
% 48.56/31.66 tff(7625,plain,
% 48.56/31.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB49, constB50)) | v101(constB50) | (~v102(constB50)) | (~v1(constB50))),
% 48.56/31.66 inference(modus_ponens,[status(thm)],[7624, 7623])).
% 48.56/31.66 tff(7626,plain,
% 48.56/31.66 (v101(constB50) | (~v102(constB50))),
% 48.56/31.66 inference(unit_resolution,[status(thm)],[7625, 303, 7602, 7622])).
% 48.56/31.66 tff(7627,plain,
% 48.56/31.66 (v101(constB50)),
% 48.56/31.66 inference(unit_resolution,[status(thm)],[7626, 7619])).
% 48.56/31.66 tff(7628,plain,
% 48.56/31.66 (((~![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)))),
% 48.56/31.66 inference(rewrite,[status(thm)],[])).
% 48.56/31.66 tff(7629,plain,
% 48.56/31.66 (((~nextState(constB49, constB50)) | (~v101(constB50)) | (~v110(constB50)) | v100(constB50)) <=> ((~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50)))),
% 48.56/31.66 inference(rewrite,[status(thm)],[])).
% 48.56/31.66 tff(7630,plain,
% 48.56/31.66 (((~![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))))),
% 48.56/31.66 inference(monotonicity,[status(thm)],[7629])).
% 48.56/31.66 tff(7631,plain,
% 48.56/31.66 (((~![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)))),
% 48.56/31.66 inference(transitivity,[status(thm)],[7630, 7628])).
% 48.56/31.66 tff(7632,plain,
% 48.56/31.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB49, constB50)) | (~v101(constB50)) | (~v110(constB50)) | v100(constB50))),
% 48.56/31.66 inference(quant_inst,[status(thm)],[])).
% 48.56/31.66 tff(7633,plain,
% 48.56/31.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50))),
% 48.56/31.66 inference(modus_ponens,[status(thm)],[7632, 7631])).
% 48.56/31.66 tff(7634,plain,
% 48.56/31.66 (v100(constB50) | (~v101(constB50)) | (~v110(constB50))),
% 48.56/31.66 inference(unit_resolution,[status(thm)],[7633, 318, 7602])).
% 48.56/31.66 tff(7635,plain,
% 48.56/31.66 (v100(constB50) | (~v110(constB50))),
% 48.56/31.66 inference(unit_resolution,[status(thm)],[7634, 7627])).
% 48.56/31.66 tff(7636,plain,
% 48.56/31.66 (v100(constB50)),
% 48.56/31.66 inference(unit_resolution,[status(thm)],[7635, 7610])).
% 48.56/31.66 tff(7637,plain,
% 48.56/31.66 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB49)) | (~v130(constB49, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB49)) | (~v130(constB49, bitIndex2)))),
% 48.56/31.66 inference(rewrite,[status(thm)],[])).
% 48.56/31.66 tff(7638,plain,
% 48.56/31.66 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB49)) | (~v130(constB49, bitIndex2)))),
% 48.56/31.66 inference(quant_inst,[status(thm)],[])).
% 48.56/31.66 tff(7639,plain,
% 48.56/31.66 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB49)) | (~v130(constB49, bitIndex2))),
% 48.56/31.66 inference(modus_ponens,[status(thm)],[7638, 7637])).
% 48.56/31.66 tff(7640,plain,
% 48.56/31.66 (~v130(constB49, bitIndex2)),
% 48.56/31.66 inference(unit_resolution,[status(thm)],[7639, 1645, 7559])).
% 48.56/31.66 tff(7641,assumption,(v26(constB49)), introduced(assumption)).
% 48.56/31.66 tff(7642,plain,
% 48.56/31.66 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB49))),
% 48.56/31.66 inference(quant_inst,[status(thm)],[])).
% 48.56/31.66 tff(7643,plain,
% 48.56/31.66 ($false),
% 48.56/31.66 inference(unit_resolution,[status(thm)],[7642, 16, 7641])).
% 48.56/31.66 tff(7644,plain,(~v26(constB49)), inference(lemma,lemma(discharge,[]))).
% 48.56/31.66 tff(7645,plain,
% 48.56/31.66 (((~![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))),
% 48.56/31.66 inference(rewrite,[status(thm)],[])).
% 48.56/31.66 tff(7646,plain,
% 48.56/31.66 ((v26(constB49) | v130(constB49, bitIndex2) | (~v127(constB49, bitIndex2))) <=> ((~v127(constB49, bitIndex2)) | v26(constB49) | v130(constB49, bitIndex2))),
% 48.56/31.66 inference(rewrite,[status(thm)],[])).
% 48.56/31.66 tff(7647,plain,
% 48.56/31.66 (((~![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)))),
% 48.56/31.66 inference(monotonicity,[status(thm)],[7646])).
% 48.56/31.66 tff(7648,plain,
% 48.56/31.66 (((~![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))),
% 48.56/31.66 inference(transitivity,[status(thm)],[7647, 7645])).
% 48.56/31.66 tff(7649,plain,
% 48.56/31.66 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB49) | v130(constB49, bitIndex2) | (~v127(constB49, bitIndex2)))),
% 48.56/31.66 inference(quant_inst,[status(thm)],[])).
% 48.56/31.66 tff(7650,plain,
% 48.56/31.66 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB49, bitIndex2)) | v26(constB49) | v130(constB49, bitIndex2)),
% 48.56/31.66 inference(modus_ponens,[status(thm)],[7649, 7648])).
% 48.56/31.66 tff(7651,plain,
% 48.56/31.66 ((~v127(constB49, bitIndex2)) | v130(constB49, bitIndex2)),
% 48.56/31.66 inference(unit_resolution,[status(thm)],[7650, 1210, 7644])).
% 48.56/31.66 tff(7652,plain,
% 48.56/31.66 (~v127(constB49, bitIndex2)),
% 48.56/31.66 inference(unit_resolution,[status(thm)],[7651, 7640])).
% 48.56/31.66 tff(7653,plain,
% 48.56/31.66 (((~![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)))),
% 48.56/31.66 inference(rewrite,[status(thm)],[])).
% 48.56/31.66 tff(7654,plain,
% 48.56/31.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB49, constB50)) | v127(constB49, bitIndex2) | (~v129(constB50, bitIndex2)))),
% 48.56/31.66 inference(quant_inst,[status(thm)],[])).
% 48.56/31.66 tff(7655,plain,
% 48.56/31.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB49, constB50)) | v127(constB49, bitIndex2) | (~v129(constB50, bitIndex2))),
% 48.56/31.66 inference(modus_ponens,[status(thm)],[7654, 7653])).
% 48.56/31.66 tff(7656,plain,
% 48.56/31.66 (v127(constB49, bitIndex2) | (~v129(constB50, bitIndex2))),
% 48.56/31.66 inference(unit_resolution,[status(thm)],[7655, 1243, 7602])).
% 48.56/31.66 tff(7657,plain,
% 48.56/31.66 (~v129(constB50, bitIndex2)),
% 48.56/31.66 inference(unit_resolution,[status(thm)],[7656, 7652])).
% 48.56/31.66 tff(7658,plain,
% 48.56/31.66 (((~![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)))),
% 48.56/31.66 inference(rewrite,[status(thm)],[])).
% 48.56/31.66 tff(7659,plain,
% 48.56/31.66 (((~v90(constB50, bitIndex2)) | (~v100(constB50)) | v129(constB50, bitIndex2)) <=> ((~v90(constB50, bitIndex2)) | v129(constB50, bitIndex2) | (~v100(constB50)))),
% 48.56/31.66 inference(rewrite,[status(thm)],[])).
% 48.56/31.66 tff(7660,plain,
% 48.56/31.66 (((~![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))))),
% 48.56/31.66 inference(monotonicity,[status(thm)],[7659])).
% 48.56/31.66 tff(7661,plain,
% 48.56/31.66 (((~![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)))),
% 48.56/31.66 inference(transitivity,[status(thm)],[7660, 7658])).
% 48.56/31.66 tff(7662,plain,
% 48.56/31.66 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB50, bitIndex2)) | (~v100(constB50)) | v129(constB50, bitIndex2))),
% 48.56/31.66 inference(quant_inst,[status(thm)],[])).
% 48.56/31.66 tff(7663,plain,
% 48.56/31.66 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB50, bitIndex2)) | v129(constB50, bitIndex2) | (~v100(constB50))),
% 48.56/31.67 inference(modus_ponens,[status(thm)],[7662, 7661])).
% 48.56/31.67 tff(7664,plain,
% 48.56/31.67 ((~v90(constB50, bitIndex2)) | (~v100(constB50))),
% 48.56/31.67 inference(unit_resolution,[status(thm)],[7663, 1258, 7657])).
% 48.56/31.67 tff(7665,plain,
% 48.56/31.67 (~v90(constB50, bitIndex2)),
% 48.56/31.67 inference(unit_resolution,[status(thm)],[7664, 7636])).
% 48.56/31.67 tff(7666,plain,
% 48.56/31.67 ((~v1(constB51)) <=> (~v1(constB51))),
% 48.56/31.67 inference(rewrite,[status(thm)],[])).
% 48.56/31.67 tff(7667,axiom,(~v1(constB51)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_51_1_1')).
% 48.56/31.67 tff(7668,plain,
% 48.56/31.67 (~v1(constB51)),
% 48.56/31.67 inference(modus_ponens,[status(thm)],[7667, 7666])).
% 48.56/31.67 tff(7669,plain,
% 48.56/31.67 (nextState(constB50, constB51) <=> nextState(constB50, constB51)),
% 48.56/31.67 inference(rewrite,[status(thm)],[])).
% 48.56/31.67 tff(7670,axiom,(nextState(constB50, constB51)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_50_1')).
% 48.56/31.67 tff(7671,plain,
% 48.56/31.67 (nextState(constB50, constB51)),
% 48.56/31.67 inference(modus_ponens,[status(thm)],[7670, 7669])).
% 48.56/31.67 tff(7672,plain,
% 48.56/31.67 (((~![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)))),
% 48.56/31.67 inference(rewrite,[status(thm)],[])).
% 48.56/31.67 tff(7673,plain,
% 48.56/31.67 (((~nextState(constB50, constB51)) | (~v101(constB51)) | v1(constB51)) <=> (v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51)))),
% 48.56/31.67 inference(rewrite,[status(thm)],[])).
% 48.56/31.67 tff(7674,plain,
% 48.56/31.67 (((~![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))))),
% 48.56/31.67 inference(monotonicity,[status(thm)],[7673])).
% 48.56/31.67 tff(7675,plain,
% 48.56/31.67 (((~![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)))),
% 48.56/31.67 inference(transitivity,[status(thm)],[7674, 7672])).
% 48.56/31.67 tff(7676,plain,
% 48.56/31.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB50, constB51)) | (~v101(constB51)) | v1(constB51))),
% 48.56/31.67 inference(quant_inst,[status(thm)],[])).
% 48.56/31.67 tff(7677,plain,
% 48.56/31.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51))),
% 48.56/31.67 inference(modus_ponens,[status(thm)],[7676, 7675])).
% 48.56/31.67 tff(7678,plain,
% 48.56/31.67 (~v101(constB51)),
% 48.56/31.67 inference(unit_resolution,[status(thm)],[7677, 49, 7671, 7668])).
% 48.56/31.67 tff(7679,plain,
% 48.56/31.67 (((~![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)))),
% 48.56/31.67 inference(rewrite,[status(thm)],[])).
% 48.56/31.67 tff(7680,plain,
% 48.56/31.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB50, constB51)) | v101(constB51) | (~v100(constB51)))),
% 48.56/31.67 inference(quant_inst,[status(thm)],[])).
% 48.56/31.67 tff(7681,plain,
% 48.56/31.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB50, constB51)) | v101(constB51) | (~v100(constB51))),
% 48.56/31.67 inference(modus_ponens,[status(thm)],[7680, 7679])).
% 48.56/31.67 tff(7682,plain,
% 48.56/31.67 (v101(constB51) | (~v100(constB51))),
% 48.56/31.67 inference(unit_resolution,[status(thm)],[7681, 66, 7671])).
% 48.56/31.67 tff(7683,plain,
% 48.56/31.67 (~v100(constB51)),
% 48.56/31.67 inference(unit_resolution,[status(thm)],[7682, 7678])).
% 48.56/31.67 tff(7684,plain,
% 48.56/31.67 (((~![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)))),
% 48.56/31.67 inference(rewrite,[status(thm)],[])).
% 48.56/31.67 tff(7685,plain,
% 48.56/31.67 (((~nextState(constB50, constB51)) | v90(constB50, bitIndex2) | v100(constB51) | (~v90(constB51, bitIndex2))) <=> (v90(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, bitIndex2)))),
% 48.56/31.67 inference(rewrite,[status(thm)],[])).
% 48.56/31.67 tff(7686,plain,
% 48.56/31.67 (((~![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))))),
% 48.56/31.67 inference(monotonicity,[status(thm)],[7685])).
% 48.56/31.67 tff(7687,plain,
% 48.56/31.67 (((~![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)))),
% 48.56/31.67 inference(transitivity,[status(thm)],[7686, 7684])).
% 48.56/31.67 tff(7688,plain,
% 48.56/31.67 ((~![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)))),
% 48.56/31.67 inference(quant_inst,[status(thm)],[])).
% 48.56/31.67 tff(7689,plain,
% 48.56/31.67 ((~![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))),
% 48.56/31.67 inference(modus_ponens,[status(thm)],[7688, 7687])).
% 48.56/31.67 tff(7690,plain,
% 48.56/31.67 (v90(constB50, bitIndex2) | v100(constB51) | (~v90(constB51, bitIndex2))),
% 48.56/31.67 inference(unit_resolution,[status(thm)],[7689, 81, 7671])).
% 48.56/31.67 tff(7691,plain,
% 48.56/31.67 (v90(constB50, bitIndex2) | (~v90(constB51, bitIndex2))),
% 48.56/31.67 inference(unit_resolution,[status(thm)],[7690, 7683])).
% 48.56/31.67 tff(7692,plain,
% 48.56/31.67 (~v90(constB51, bitIndex2)),
% 48.56/31.67 inference(unit_resolution,[status(thm)],[7691, 7665])).
% 48.56/31.67 tff(7693,plain,
% 48.56/31.67 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB49)) | v130(constB49, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB49)) | v130(constB49, bitIndex1))),
% 48.56/31.67 inference(rewrite,[status(thm)],[])).
% 48.56/31.67 tff(7694,plain,
% 48.56/31.67 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB49)) | v130(constB49, bitIndex1))),
% 48.56/31.67 inference(quant_inst,[status(thm)],[])).
% 48.56/31.67 tff(7695,plain,
% 48.56/31.67 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB49)) | v130(constB49, bitIndex1)),
% 48.56/31.67 inference(modus_ponens,[status(thm)],[7694, 7693])).
% 48.56/31.67 tff(7696,plain,
% 48.56/31.67 (v130(constB49, bitIndex1)),
% 48.56/31.67 inference(unit_resolution,[status(thm)],[7695, 1707, 7559])).
% 48.56/31.67 tff(7697,plain,
% 48.56/31.67 (((~![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))) | v26(constB49) | (~v130(constB49, bitIndex1)) | v127(constB49, bitIndex1))),
% 48.56/31.67 inference(rewrite,[status(thm)],[])).
% 48.56/31.67 tff(7698,plain,
% 48.56/31.67 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB49) | (~v130(constB49, bitIndex1)) | v127(constB49, bitIndex1))),
% 48.56/31.67 inference(quant_inst,[status(thm)],[])).
% 48.56/31.67 tff(7699,plain,
% 48.56/31.67 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB49) | (~v130(constB49, bitIndex1)) | v127(constB49, bitIndex1)),
% 48.56/31.67 inference(modus_ponens,[status(thm)],[7698, 7697])).
% 48.56/31.67 tff(7700,plain,
% 48.56/31.67 ((~v130(constB49, bitIndex1)) | v127(constB49, bitIndex1)),
% 48.56/31.67 inference(unit_resolution,[status(thm)],[7699, 681, 7644])).
% 48.56/31.67 tff(7701,plain,
% 48.56/31.67 (v127(constB49, bitIndex1)),
% 48.56/31.67 inference(unit_resolution,[status(thm)],[7700, 7696])).
% 48.56/31.67 tff(7702,plain,
% 48.56/31.67 (((~![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))),
% 48.56/31.67 inference(rewrite,[status(thm)],[])).
% 48.56/31.67 tff(7703,plain,
% 48.56/31.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB49, constB50)) | (~v127(constB49, bitIndex1)) | v129(constB50, bitIndex1))),
% 48.56/31.67 inference(quant_inst,[status(thm)],[])).
% 48.56/31.67 tff(7704,plain,
% 48.56/31.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB49, constB50)) | (~v127(constB49, bitIndex1)) | v129(constB50, bitIndex1)),
% 48.56/31.67 inference(modus_ponens,[status(thm)],[7703, 7702])).
% 48.56/31.67 tff(7705,plain,
% 48.56/31.67 ((~v127(constB49, bitIndex1)) | v129(constB50, bitIndex1)),
% 48.56/31.67 inference(unit_resolution,[status(thm)],[7704, 696, 7602])).
% 48.56/31.67 tff(7706,plain,
% 48.56/31.67 (v129(constB50, bitIndex1)),
% 48.56/31.67 inference(unit_resolution,[status(thm)],[7705, 7701])).
% 48.56/31.67 tff(7707,plain,
% 48.56/31.67 (((~![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)))),
% 48.56/31.67 inference(rewrite,[status(thm)],[])).
% 48.56/31.67 tff(7708,plain,
% 48.56/31.67 ((v90(constB50, bitIndex1) | (~v100(constB50)) | (~v129(constB50, bitIndex1))) <=> (v90(constB50, bitIndex1) | (~v129(constB50, bitIndex1)) | (~v100(constB50)))),
% 48.56/31.67 inference(rewrite,[status(thm)],[])).
% 48.56/31.67 tff(7709,plain,
% 48.56/31.67 (((~![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))))),
% 48.56/31.67 inference(monotonicity,[status(thm)],[7708])).
% 48.56/31.67 tff(7710,plain,
% 48.56/31.67 (((~![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)))),
% 48.56/31.67 inference(transitivity,[status(thm)],[7709, 7707])).
% 48.56/31.67 tff(7711,plain,
% 48.56/31.67 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB50, bitIndex1) | (~v100(constB50)) | (~v129(constB50, bitIndex1)))),
% 48.56/31.67 inference(quant_inst,[status(thm)],[])).
% 48.56/31.67 tff(7712,plain,
% 48.56/31.67 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB50, bitIndex1) | (~v129(constB50, bitIndex1)) | (~v100(constB50))),
% 48.56/31.67 inference(modus_ponens,[status(thm)],[7711, 7710])).
% 48.56/31.67 tff(7713,plain,
% 48.56/31.67 (v90(constB50, bitIndex1) | (~v100(constB50))),
% 48.56/31.67 inference(unit_resolution,[status(thm)],[7712, 711, 7706])).
% 48.56/31.67 tff(7714,plain,
% 48.56/31.67 (v90(constB50, bitIndex1)),
% 48.56/31.67 inference(unit_resolution,[status(thm)],[7713, 7636])).
% 48.56/31.67 tff(7715,plain,
% 48.56/31.67 (((~![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))),
% 48.56/31.67 inference(rewrite,[status(thm)],[])).
% 48.56/31.67 tff(7716,plain,
% 48.56/31.67 (((~nextState(constB50, constB51)) | (~v90(constB50, bitIndex1)) | v100(constB51) | v90(constB51, bitIndex1)) <=> ((~v90(constB50, bitIndex1)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex1))),
% 48.56/31.67 inference(rewrite,[status(thm)],[])).
% 48.56/31.67 tff(7717,plain,
% 48.56/31.67 (((~![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)))),
% 48.56/31.67 inference(monotonicity,[status(thm)],[7716])).
% 48.56/31.67 tff(7718,plain,
% 48.56/31.67 (((~![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))),
% 48.56/31.67 inference(transitivity,[status(thm)],[7717, 7715])).
% 48.56/31.67 tff(7719,plain,
% 48.56/31.67 ((~![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))),
% 48.56/31.67 inference(quant_inst,[status(thm)],[])).
% 48.56/31.67 tff(7720,plain,
% 48.56/31.67 ((~![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)),
% 48.56/31.67 inference(modus_ponens,[status(thm)],[7719, 7718])).
% 48.56/31.67 tff(7721,plain,
% 48.56/31.67 ((~v90(constB50, bitIndex1)) | v100(constB51) | v90(constB51, bitIndex1)),
% 48.56/31.67 inference(unit_resolution,[status(thm)],[7720, 747, 7671])).
% 48.56/31.67 tff(7722,plain,
% 48.56/31.67 ((~v90(constB50, bitIndex1)) | v90(constB51, bitIndex1)),
% 48.56/31.67 inference(unit_resolution,[status(thm)],[7721, 7683])).
% 48.56/31.67 tff(7723,plain,
% 48.56/31.67 (v90(constB51, bitIndex1)),
% 48.56/31.67 inference(unit_resolution,[status(thm)],[7722, 7714])).
% 48.56/31.67 tff(7724,plain,
% 48.56/31.67 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB49)) | v130(constB49, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB49)) | v130(constB49, bitIndex0))),
% 48.56/31.67 inference(rewrite,[status(thm)],[])).
% 48.56/31.67 tff(7725,plain,
% 48.56/31.67 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB49)) | v130(constB49, bitIndex0))),
% 48.56/31.67 inference(quant_inst,[status(thm)],[])).
% 48.56/31.67 tff(7726,plain,
% 48.56/31.67 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB49)) | v130(constB49, bitIndex0)),
% 48.56/31.67 inference(modus_ponens,[status(thm)],[7725, 7724])).
% 48.56/31.67 tff(7727,plain,
% 48.56/31.67 (v130(constB49, bitIndex0)),
% 48.56/31.67 inference(unit_resolution,[status(thm)],[7726, 1748, 7559])).
% 48.56/31.67 tff(7728,plain,
% 48.56/31.67 (((~![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))),
% 48.56/31.67 inference(rewrite,[status(thm)],[])).
% 48.56/31.67 tff(7729,plain,
% 48.56/31.67 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB49) | (~v130(constB49, bitIndex0)) | v127(constB49, bitIndex0))),
% 48.56/31.67 inference(quant_inst,[status(thm)],[])).
% 48.56/31.67 tff(7730,plain,
% 48.56/31.67 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB49) | (~v130(constB49, bitIndex0)) | v127(constB49, bitIndex0)),
% 48.56/31.67 inference(modus_ponens,[status(thm)],[7729, 7728])).
% 48.56/31.67 tff(7731,plain,
% 48.56/31.67 ((~v130(constB49, bitIndex0)) | v127(constB49, bitIndex0)),
% 48.56/31.67 inference(unit_resolution,[status(thm)],[7730, 926, 7644])).
% 48.56/31.67 tff(7732,plain,
% 48.56/31.67 (v127(constB49, bitIndex0)),
% 48.56/31.67 inference(unit_resolution,[status(thm)],[7731, 7727])).
% 48.56/31.67 tff(7733,plain,
% 48.56/31.67 (((~![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))),
% 48.56/31.67 inference(rewrite,[status(thm)],[])).
% 48.56/31.67 tff(7734,plain,
% 48.56/31.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB49, constB50)) | (~v127(constB49, bitIndex0)) | v129(constB50, bitIndex0))),
% 48.56/31.67 inference(quant_inst,[status(thm)],[])).
% 48.56/31.67 tff(7735,plain,
% 48.56/31.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB49, constB50)) | (~v127(constB49, bitIndex0)) | v129(constB50, bitIndex0)),
% 48.56/31.67 inference(modus_ponens,[status(thm)],[7734, 7733])).
% 48.56/31.67 tff(7736,plain,
% 48.56/31.67 ((~v127(constB49, bitIndex0)) | v129(constB50, bitIndex0)),
% 48.56/31.67 inference(unit_resolution,[status(thm)],[7735, 944, 7602])).
% 48.56/31.67 tff(7737,plain,
% 48.56/31.67 (v129(constB50, bitIndex0)),
% 48.56/31.67 inference(unit_resolution,[status(thm)],[7736, 7732])).
% 48.56/31.67 tff(7738,plain,
% 48.56/31.67 (((~![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)))),
% 48.56/31.67 inference(rewrite,[status(thm)],[])).
% 48.56/31.67 tff(7739,plain,
% 48.56/31.67 ((v90(constB50, bitIndex0) | (~v100(constB50)) | (~v129(constB50, bitIndex0))) <=> (v90(constB50, bitIndex0) | (~v129(constB50, bitIndex0)) | (~v100(constB50)))),
% 48.56/31.67 inference(rewrite,[status(thm)],[])).
% 48.56/31.67 tff(7740,plain,
% 48.56/31.67 (((~![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))))),
% 48.56/31.67 inference(monotonicity,[status(thm)],[7739])).
% 48.56/31.67 tff(7741,plain,
% 48.56/31.67 (((~![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)))),
% 48.56/31.67 inference(transitivity,[status(thm)],[7740, 7738])).
% 48.56/31.67 tff(7742,plain,
% 48.56/31.67 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB50, bitIndex0) | (~v100(constB50)) | (~v129(constB50, bitIndex0)))),
% 48.56/31.67 inference(quant_inst,[status(thm)],[])).
% 48.56/31.67 tff(7743,plain,
% 48.56/31.67 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB50, bitIndex0) | (~v129(constB50, bitIndex0)) | (~v100(constB50))),
% 48.56/31.67 inference(modus_ponens,[status(thm)],[7742, 7741])).
% 48.56/31.67 tff(7744,plain,
% 48.56/31.67 (v90(constB50, bitIndex0) | (~v100(constB50))),
% 48.56/31.67 inference(unit_resolution,[status(thm)],[7743, 1088, 7737])).
% 48.56/31.67 tff(7745,plain,
% 48.56/31.67 (v90(constB50, bitIndex0)),
% 48.56/31.67 inference(unit_resolution,[status(thm)],[7744, 7636])).
% 48.56/31.67 tff(7746,plain,
% 48.56/31.67 (((~![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))),
% 48.56/31.67 inference(rewrite,[status(thm)],[])).
% 48.56/31.67 tff(7747,plain,
% 48.56/31.67 (((~nextState(constB50, constB51)) | (~v90(constB50, bitIndex0)) | v100(constB51) | v90(constB51, bitIndex0)) <=> ((~v90(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, bitIndex0))),
% 48.56/31.67 inference(rewrite,[status(thm)],[])).
% 48.56/31.67 tff(7748,plain,
% 48.56/31.67 (((~![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)))),
% 48.56/31.67 inference(monotonicity,[status(thm)],[7747])).
% 48.56/31.67 tff(7749,plain,
% 48.56/31.67 (((~![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))),
% 48.56/31.67 inference(transitivity,[status(thm)],[7748, 7746])).
% 48.56/31.67 tff(7750,plain,
% 48.56/31.67 ((~![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))),
% 48.56/31.67 inference(quant_inst,[status(thm)],[])).
% 48.56/31.67 tff(7751,plain,
% 48.56/31.67 ((~![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)),
% 48.56/31.67 inference(modus_ponens,[status(thm)],[7750, 7749])).
% 48.56/31.67 tff(7752,plain,
% 48.56/31.67 ((~v90(constB50, bitIndex0)) | v100(constB51) | v90(constB51, bitIndex0)),
% 48.56/31.67 inference(unit_resolution,[status(thm)],[7751, 1124, 7671])).
% 48.56/31.67 tff(7753,plain,
% 48.56/31.67 ((~v90(constB50, bitIndex0)) | v90(constB51, bitIndex0)),
% 48.56/31.67 inference(unit_resolution,[status(thm)],[7752, 7683])).
% 48.56/31.67 tff(7754,plain,
% 48.56/31.67 (v90(constB51, bitIndex0)),
% 48.56/31.67 inference(unit_resolution,[status(thm)],[7753, 7745])).
% 48.56/31.67 tff(7755,plain,
% 48.56/31.67 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB51, bitIndex0)) | (~v90(constB51, bitIndex1)) | v90(constB51, bitIndex2) | v122(constB51))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB51, bitIndex0)) | (~v90(constB51, bitIndex1)) | v90(constB51, bitIndex2) | v122(constB51))),
% 48.56/31.67 inference(rewrite,[status(thm)],[])).
% 48.56/31.67 tff(7756,plain,
% 48.56/31.67 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB51, bitIndex0)) | (~v90(constB51, bitIndex1)) | v90(constB51, bitIndex2) | v122(constB51))),
% 48.56/31.67 inference(quant_inst,[status(thm)],[])).
% 48.56/31.67 tff(7757,plain,
% 48.56/31.67 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB51, bitIndex0)) | (~v90(constB51, bitIndex1)) | v90(constB51, bitIndex2) | v122(constB51)),
% 48.56/31.67 inference(modus_ponens,[status(thm)],[7756, 7755])).
% 48.56/31.67 tff(7758,plain,
% 48.56/31.67 (v122(constB51)),
% 48.56/31.67 inference(unit_resolution,[status(thm)],[7757, 1789, 7754, 7723, 7692])).
% 48.56/31.67 tff(7759,plain,
% 48.56/31.67 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB51) | (~v122(constB51)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB51) | (~v122(constB51)))),
% 48.56/31.67 inference(rewrite,[status(thm)],[])).
% 48.56/31.67 tff(7760,plain,
% 48.56/31.67 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB51) | (~v122(constB51)))),
% 48.56/31.67 inference(quant_inst,[status(thm)],[])).
% 48.56/31.67 tff(7761,plain,
% 48.56/31.67 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB51) | (~v122(constB51))),
% 48.56/31.67 inference(modus_ponens,[status(thm)],[7760, 7759])).
% 48.56/31.67 tff(7762,plain,
% 48.56/31.67 (v116(constB51)),
% 48.56/31.67 inference(unit_resolution,[status(thm)],[7761, 1800, 7758])).
% 48.56/31.67 tff(7763,plain,
% 48.56/31.67 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB51) | (~v116(constB51)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB51) | (~v116(constB51)))),
% 48.56/31.67 inference(rewrite,[status(thm)],[])).
% 48.56/31.67 tff(7764,plain,
% 48.56/31.67 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB51) | (~v116(constB51)))),
% 48.56/31.67 inference(quant_inst,[status(thm)],[])).
% 48.56/31.67 tff(7765,plain,
% 48.56/31.67 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB51) | (~v116(constB51))),
% 48.56/31.67 inference(modus_ponens,[status(thm)],[7764, 7763])).
% 48.56/31.67 tff(7766,plain,
% 48.56/31.67 (v115(constB51)),
% 48.56/31.67 inference(unit_resolution,[status(thm)],[7765, 188, 7762])).
% 48.56/31.67 tff(7767,plain,
% 48.56/31.67 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB51) | (~v115(constB51)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB51) | (~v115(constB51)))),
% 48.56/31.67 inference(rewrite,[status(thm)],[])).
% 48.56/31.67 tff(7768,plain,
% 48.56/31.67 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB51) | (~v115(constB51)))),
% 48.56/31.67 inference(quant_inst,[status(thm)],[])).
% 48.56/31.67 tff(7769,plain,
% 48.56/31.67 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB51) | (~v115(constB51))),
% 48.56/31.67 inference(modus_ponens,[status(thm)],[7768, 7767])).
% 48.56/31.67 tff(7770,plain,
% 48.56/31.67 (v114(constB51)),
% 48.56/31.67 inference(unit_resolution,[status(thm)],[7769, 199, 7766])).
% 48.56/31.67 tff(7771,plain,
% 48.56/31.67 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB51) | (~v114(constB51)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB51) | (~v114(constB51)))),
% 48.56/31.67 inference(rewrite,[status(thm)],[])).
% 48.56/31.67 tff(7772,plain,
% 48.56/31.67 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB51) | (~v114(constB51)))),
% 48.56/31.67 inference(quant_inst,[status(thm)],[])).
% 48.56/31.67 tff(7773,plain,
% 48.56/31.67 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB51) | (~v114(constB51))),
% 48.56/31.67 inference(modus_ponens,[status(thm)],[7772, 7771])).
% 48.56/31.67 tff(7774,plain,
% 48.56/31.67 (v113(constB51)),
% 48.56/31.67 inference(unit_resolution,[status(thm)],[7773, 210, 7770])).
% 48.56/31.67 tff(7775,assumption,(v26(constB51)), introduced(assumption)).
% 48.56/31.67 tff(7776,plain,
% 48.56/31.67 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB51))),
% 48.56/31.67 inference(quant_inst,[status(thm)],[])).
% 48.56/31.67 tff(7777,plain,
% 48.56/31.67 ($false),
% 48.56/31.67 inference(unit_resolution,[status(thm)],[7776, 16, 7775])).
% 48.56/31.67 tff(7778,plain,(~v26(constB51)), inference(lemma,lemma(discharge,[]))).
% 48.56/31.67 tff(7779,plain,
% 48.56/31.67 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB51) | (~v113(constB51)) | v112(constB51))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB51) | (~v113(constB51)) | v112(constB51))),
% 48.56/31.67 inference(rewrite,[status(thm)],[])).
% 48.56/31.67 tff(7780,plain,
% 48.56/31.67 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB51) | (~v113(constB51)) | v112(constB51))),
% 48.56/31.67 inference(quant_inst,[status(thm)],[])).
% 48.56/31.67 tff(7781,plain,
% 48.56/31.67 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB51) | (~v113(constB51)) | v112(constB51)),
% 48.56/31.67 inference(modus_ponens,[status(thm)],[7780, 7779])).
% 48.56/31.67 tff(7782,plain,
% 48.56/31.67 ((~v113(constB51)) | v112(constB51)),
% 48.56/31.67 inference(unit_resolution,[status(thm)],[7781, 224, 7778])).
% 48.56/31.67 tff(7783,plain,
% 48.56/31.67 (v112(constB51)),
% 48.56/31.67 inference(unit_resolution,[status(thm)],[7782, 7774])).
% 48.56/31.67 tff(7784,plain,
% 48.56/31.67 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB51) | (~v112(constB51)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB51) | (~v112(constB51)))),
% 48.56/31.67 inference(rewrite,[status(thm)],[])).
% 48.56/31.67 tff(7785,plain,
% 48.56/31.67 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB51) | (~v112(constB51)))),
% 48.56/31.67 inference(quant_inst,[status(thm)],[])).
% 48.56/31.67 tff(7786,plain,
% 48.56/31.67 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB51) | (~v112(constB51))),
% 48.56/31.67 inference(modus_ponens,[status(thm)],[7785, 7784])).
% 48.56/31.67 tff(7787,plain,
% 48.56/31.67 (v108(constB51)),
% 48.56/31.67 inference(unit_resolution,[status(thm)],[7786, 236, 7783])).
% 48.56/31.67 tff(7788,plain,
% 48.56/31.67 (nextState(constB51, constB52) <=> nextState(constB51, constB52)),
% 48.56/31.67 inference(rewrite,[status(thm)],[])).
% 48.56/31.67 tff(7789,axiom,(nextState(constB51, constB52)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_51_1')).
% 48.56/31.67 tff(7790,plain,
% 48.56/31.67 (nextState(constB51, constB52)),
% 48.56/31.67 inference(modus_ponens,[status(thm)],[7789, 7788])).
% 48.56/31.67 tff(7791,plain,
% 48.56/31.67 (((~![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)))),
% 48.56/31.67 inference(rewrite,[status(thm)],[])).
% 48.56/31.67 tff(7792,plain,
% 48.56/31.67 (((~nextState(constB51, constB52)) | (~v108(constB51)) | v110(constB52)) <=> ((~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51)))),
% 48.56/31.67 inference(rewrite,[status(thm)],[])).
% 48.56/31.67 tff(7793,plain,
% 48.56/31.67 (((~![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))))),
% 48.56/31.67 inference(monotonicity,[status(thm)],[7792])).
% 48.56/31.67 tff(7794,plain,
% 48.56/31.67 (((~![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)))),
% 48.56/31.67 inference(transitivity,[status(thm)],[7793, 7791])).
% 48.56/31.67 tff(7795,plain,
% 48.56/31.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB51, constB52)) | (~v108(constB51)) | v110(constB52))),
% 48.56/31.67 inference(quant_inst,[status(thm)],[])).
% 48.56/31.67 tff(7796,plain,
% 48.56/31.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51))),
% 48.56/31.68 inference(modus_ponens,[status(thm)],[7795, 7794])).
% 48.56/31.68 tff(7797,plain,
% 48.56/31.68 (v110(constB52) | (~v108(constB51))),
% 48.56/31.68 inference(unit_resolution,[status(thm)],[7796, 253, 7790])).
% 48.56/31.68 tff(7798,plain,
% 48.56/31.68 (v110(constB52)),
% 48.56/31.68 inference(unit_resolution,[status(thm)],[7797, 7787])).
% 48.56/31.68 tff(7799,plain,
% 48.56/31.68 (((~![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)))),
% 48.56/31.68 inference(rewrite,[status(thm)],[])).
% 48.56/31.68 tff(7800,plain,
% 48.56/31.68 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB51) | (~nextState(constB51, constB52)) | (~v104(constB52)))),
% 48.56/31.68 inference(quant_inst,[status(thm)],[])).
% 48.56/31.68 tff(7801,plain,
% 48.56/31.68 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB51) | (~nextState(constB51, constB52)) | (~v104(constB52))),
% 48.56/31.68 inference(modus_ponens,[status(thm)],[7800, 7799])).
% 48.56/31.68 tff(7802,plain,
% 48.56/31.68 (~v104(constB52)),
% 48.56/31.68 inference(unit_resolution,[status(thm)],[7801, 271, 7790, 7668])).
% 48.56/31.68 tff(7803,plain,
% 48.56/31.68 (((~![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))),
% 48.56/31.68 inference(rewrite,[status(thm)],[])).
% 48.56/31.68 tff(7804,plain,
% 48.56/31.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB51, constB52)) | v102(constB52) | v104(constB52))),
% 48.56/31.68 inference(quant_inst,[status(thm)],[])).
% 48.56/31.68 tff(7805,plain,
% 48.56/31.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB51, constB52)) | v102(constB52) | v104(constB52)),
% 48.56/31.68 inference(modus_ponens,[status(thm)],[7804, 7803])).
% 48.56/31.68 tff(7806,plain,
% 48.56/31.68 (v102(constB52) | v104(constB52)),
% 48.56/31.68 inference(unit_resolution,[status(thm)],[7805, 285, 7790])).
% 48.56/31.68 tff(7807,plain,
% 48.56/31.68 (v102(constB52)),
% 48.56/31.68 inference(unit_resolution,[status(thm)],[7806, 7802])).
% 48.56/31.68 tff(7808,plain,
% 48.56/31.68 (v1(constB52) <=> v1(constB52)),
% 48.56/31.68 inference(rewrite,[status(thm)],[])).
% 48.56/31.68 tff(7809,axiom,(v1(constB52)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_52_1')).
% 48.56/31.68 tff(7810,plain,
% 48.56/31.68 (v1(constB52)),
% 48.56/31.68 inference(modus_ponens,[status(thm)],[7809, 7808])).
% 48.56/31.68 tff(7811,plain,
% 48.56/31.68 (((~![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)))),
% 48.56/31.68 inference(rewrite,[status(thm)],[])).
% 48.56/31.68 tff(7812,plain,
% 48.56/31.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB51, constB52)) | v101(constB52) | (~v102(constB52)) | (~v1(constB52)))),
% 48.56/31.68 inference(quant_inst,[status(thm)],[])).
% 48.56/31.68 tff(7813,plain,
% 48.56/31.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB51, constB52)) | v101(constB52) | (~v102(constB52)) | (~v1(constB52))),
% 48.56/31.68 inference(modus_ponens,[status(thm)],[7812, 7811])).
% 48.56/31.68 tff(7814,plain,
% 48.56/31.68 (v101(constB52) | (~v102(constB52))),
% 48.56/31.68 inference(unit_resolution,[status(thm)],[7813, 303, 7790, 7810])).
% 48.56/31.68 tff(7815,plain,
% 48.56/31.68 (v101(constB52)),
% 48.56/31.68 inference(unit_resolution,[status(thm)],[7814, 7807])).
% 48.56/31.68 tff(7816,plain,
% 48.56/31.68 (((~![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)))),
% 48.56/31.68 inference(rewrite,[status(thm)],[])).
% 48.56/31.68 tff(7817,plain,
% 48.56/31.68 (((~nextState(constB51, constB52)) | (~v101(constB52)) | (~v110(constB52)) | v100(constB52)) <=> ((~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52)))),
% 48.56/31.68 inference(rewrite,[status(thm)],[])).
% 48.56/31.68 tff(7818,plain,
% 48.56/31.68 (((~![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))))),
% 48.56/31.68 inference(monotonicity,[status(thm)],[7817])).
% 48.56/31.68 tff(7819,plain,
% 48.56/31.68 (((~![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)))),
% 48.56/31.68 inference(transitivity,[status(thm)],[7818, 7816])).
% 48.56/31.68 tff(7820,plain,
% 48.56/31.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB51, constB52)) | (~v101(constB52)) | (~v110(constB52)) | v100(constB52))),
% 48.56/31.68 inference(quant_inst,[status(thm)],[])).
% 48.56/31.68 tff(7821,plain,
% 48.56/31.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52))),
% 48.56/31.68 inference(modus_ponens,[status(thm)],[7820, 7819])).
% 48.56/31.68 tff(7822,plain,
% 48.56/31.68 (v100(constB52) | (~v101(constB52)) | (~v110(constB52))),
% 48.56/31.68 inference(unit_resolution,[status(thm)],[7821, 318, 7790])).
% 48.56/31.68 tff(7823,plain,
% 48.56/31.68 (v100(constB52) | (~v110(constB52))),
% 48.56/31.68 inference(unit_resolution,[status(thm)],[7822, 7815])).
% 48.56/31.68 tff(7824,plain,
% 48.56/31.68 (v100(constB52)),
% 48.56/31.68 inference(unit_resolution,[status(thm)],[7823, 7798])).
% 48.56/31.68 tff(7825,plain,
% 48.56/31.68 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB51)) | v130(constB51, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB51)) | v130(constB51, bitIndex2))),
% 48.56/31.68 inference(rewrite,[status(thm)],[])).
% 48.56/31.68 tff(7826,plain,
% 48.56/31.68 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB51)) | v130(constB51, bitIndex2))),
% 48.56/31.68 inference(quant_inst,[status(thm)],[])).
% 48.56/31.68 tff(7827,plain,
% 48.56/31.68 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB51)) | v130(constB51, bitIndex2)),
% 48.56/31.68 inference(modus_ponens,[status(thm)],[7826, 7825])).
% 48.56/31.68 tff(7828,plain,
% 48.56/31.68 (v130(constB51, bitIndex2)),
% 48.56/31.68 inference(unit_resolution,[status(thm)],[7827, 1876, 7758])).
% 48.56/31.68 tff(7829,plain,
% 48.56/31.68 (((~![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))) | v26(constB51) | (~v130(constB51, bitIndex2)) | v127(constB51, bitIndex2))),
% 48.56/31.68 inference(rewrite,[status(thm)],[])).
% 48.56/31.68 tff(7830,plain,
% 48.56/31.68 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB51) | (~v130(constB51, bitIndex2)) | v127(constB51, bitIndex2))),
% 48.56/31.68 inference(quant_inst,[status(thm)],[])).
% 48.56/31.68 tff(7831,plain,
% 48.56/31.68 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB51) | (~v130(constB51, bitIndex2)) | v127(constB51, bitIndex2)),
% 48.56/31.68 inference(modus_ponens,[status(thm)],[7830, 7829])).
% 48.56/31.68 tff(7832,plain,
% 48.56/31.68 ((~v130(constB51, bitIndex2)) | v127(constB51, bitIndex2)),
% 48.56/31.68 inference(unit_resolution,[status(thm)],[7831, 351, 7778])).
% 48.56/31.68 tff(7833,plain,
% 48.56/31.68 (v127(constB51, bitIndex2)),
% 48.56/31.68 inference(unit_resolution,[status(thm)],[7832, 7828])).
% 48.56/31.68 tff(7834,plain,
% 48.56/31.68 (((~![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))),
% 48.56/31.68 inference(rewrite,[status(thm)],[])).
% 48.56/31.68 tff(7835,plain,
% 48.56/31.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB51, constB52)) | (~v127(constB51, bitIndex2)) | v129(constB52, bitIndex2))),
% 48.56/31.68 inference(quant_inst,[status(thm)],[])).
% 48.56/31.68 tff(7836,plain,
% 48.56/31.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB51, constB52)) | (~v127(constB51, bitIndex2)) | v129(constB52, bitIndex2)),
% 48.56/31.68 inference(modus_ponens,[status(thm)],[7835, 7834])).
% 48.56/31.68 tff(7837,plain,
% 48.56/31.68 ((~v127(constB51, bitIndex2)) | v129(constB52, bitIndex2)),
% 48.56/31.68 inference(unit_resolution,[status(thm)],[7836, 366, 7790])).
% 48.56/31.68 tff(7838,plain,
% 48.56/31.68 (v129(constB52, bitIndex2)),
% 48.56/31.68 inference(unit_resolution,[status(thm)],[7837, 7833])).
% 48.56/31.68 tff(7839,plain,
% 48.56/31.68 (((~![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)))),
% 48.56/31.68 inference(rewrite,[status(thm)],[])).
% 48.56/31.68 tff(7840,plain,
% 48.56/31.68 ((v90(constB52, bitIndex2) | (~v100(constB52)) | (~v129(constB52, bitIndex2))) <=> (v90(constB52, bitIndex2) | (~v129(constB52, bitIndex2)) | (~v100(constB52)))),
% 48.56/31.68 inference(rewrite,[status(thm)],[])).
% 48.56/31.68 tff(7841,plain,
% 48.56/31.68 (((~![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))))),
% 48.56/31.68 inference(monotonicity,[status(thm)],[7840])).
% 48.56/31.68 tff(7842,plain,
% 48.56/31.68 (((~![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)))),
% 48.56/31.68 inference(transitivity,[status(thm)],[7841, 7839])).
% 48.56/31.68 tff(7843,plain,
% 48.56/31.68 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB52, bitIndex2) | (~v100(constB52)) | (~v129(constB52, bitIndex2)))),
% 48.56/31.68 inference(quant_inst,[status(thm)],[])).
% 48.56/31.68 tff(7844,plain,
% 48.56/31.68 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB52, bitIndex2) | (~v129(constB52, bitIndex2)) | (~v100(constB52))),
% 48.56/31.68 inference(modus_ponens,[status(thm)],[7843, 7842])).
% 48.56/31.68 tff(7845,plain,
% 48.56/31.68 (v90(constB52, bitIndex2) | (~v100(constB52))),
% 48.56/31.68 inference(unit_resolution,[status(thm)],[7844, 381, 7838])).
% 48.56/31.68 tff(7846,plain,
% 48.56/31.68 (v90(constB52, bitIndex2)),
% 48.56/31.68 inference(unit_resolution,[status(thm)],[7845, 7824])).
% 48.56/31.68 tff(7847,plain,
% 48.56/31.68 ((~v1(constB53)) <=> (~v1(constB53))),
% 48.56/31.68 inference(rewrite,[status(thm)],[])).
% 48.56/31.68 tff(7848,axiom,(~v1(constB53)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_53_1_1')).
% 48.56/31.68 tff(7849,plain,
% 48.56/31.68 (~v1(constB53)),
% 48.56/31.68 inference(modus_ponens,[status(thm)],[7848, 7847])).
% 48.56/31.68 tff(7850,plain,
% 48.56/31.68 (nextState(constB52, constB53) <=> nextState(constB52, constB53)),
% 48.56/31.68 inference(rewrite,[status(thm)],[])).
% 48.56/31.68 tff(7851,axiom,(nextState(constB52, constB53)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_52_1')).
% 48.56/31.68 tff(7852,plain,
% 48.56/31.68 (nextState(constB52, constB53)),
% 48.56/31.68 inference(modus_ponens,[status(thm)],[7851, 7850])).
% 48.56/31.68 tff(7853,plain,
% 48.56/31.68 (((~![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)))),
% 48.56/31.68 inference(rewrite,[status(thm)],[])).
% 48.56/31.68 tff(7854,plain,
% 48.56/31.68 (((~nextState(constB52, constB53)) | (~v101(constB53)) | v1(constB53)) <=> (v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53)))),
% 48.56/31.68 inference(rewrite,[status(thm)],[])).
% 48.56/31.68 tff(7855,plain,
% 48.56/31.68 (((~![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))))),
% 48.56/31.68 inference(monotonicity,[status(thm)],[7854])).
% 48.56/31.68 tff(7856,plain,
% 48.56/31.68 (((~![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)))),
% 48.56/31.68 inference(transitivity,[status(thm)],[7855, 7853])).
% 48.56/31.68 tff(7857,plain,
% 48.56/31.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB52, constB53)) | (~v101(constB53)) | v1(constB53))),
% 48.56/31.68 inference(quant_inst,[status(thm)],[])).
% 48.56/31.68 tff(7858,plain,
% 48.56/31.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53))),
% 48.56/31.68 inference(modus_ponens,[status(thm)],[7857, 7856])).
% 48.56/31.68 tff(7859,plain,
% 48.56/31.68 (~v101(constB53)),
% 48.56/31.68 inference(unit_resolution,[status(thm)],[7858, 49, 7852, 7849])).
% 48.56/31.68 tff(7860,plain,
% 48.56/31.68 (((~![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)))),
% 48.56/31.68 inference(rewrite,[status(thm)],[])).
% 48.56/31.68 tff(7861,plain,
% 48.56/31.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB52, constB53)) | v101(constB53) | (~v100(constB53)))),
% 48.56/31.68 inference(quant_inst,[status(thm)],[])).
% 48.56/31.68 tff(7862,plain,
% 48.56/31.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB52, constB53)) | v101(constB53) | (~v100(constB53))),
% 48.56/31.68 inference(modus_ponens,[status(thm)],[7861, 7860])).
% 48.56/31.68 tff(7863,plain,
% 48.56/31.68 (v101(constB53) | (~v100(constB53))),
% 48.56/31.68 inference(unit_resolution,[status(thm)],[7862, 66, 7852])).
% 48.56/31.68 tff(7864,plain,
% 48.56/31.68 (~v100(constB53)),
% 48.56/31.68 inference(unit_resolution,[status(thm)],[7863, 7859])).
% 48.56/31.68 tff(7865,plain,
% 48.56/31.68 (((~![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))),
% 48.56/31.68 inference(rewrite,[status(thm)],[])).
% 48.56/31.68 tff(7866,plain,
% 48.56/31.68 (((~nextState(constB52, constB53)) | (~v90(constB52, bitIndex2)) | v100(constB53) | v90(constB53, bitIndex2)) <=> ((~v90(constB52, bitIndex2)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, bitIndex2))),
% 48.56/31.68 inference(rewrite,[status(thm)],[])).
% 48.56/31.68 tff(7867,plain,
% 48.56/31.68 (((~![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)))),
% 48.56/31.68 inference(monotonicity,[status(thm)],[7866])).
% 48.56/31.68 tff(7868,plain,
% 48.56/31.68 (((~![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))),
% 48.56/31.68 inference(transitivity,[status(thm)],[7867, 7865])).
% 48.56/31.68 tff(7869,plain,
% 48.56/31.68 ((~![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))),
% 48.56/31.68 inference(quant_inst,[status(thm)],[])).
% 48.56/31.68 tff(7870,plain,
% 48.56/31.68 ((~![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)),
% 48.56/31.68 inference(modus_ponens,[status(thm)],[7869, 7868])).
% 48.56/31.68 tff(7871,plain,
% 48.56/31.68 ((~v90(constB52, bitIndex2)) | v100(constB53) | v90(constB53, bitIndex2)),
% 48.56/31.68 inference(unit_resolution,[status(thm)],[7870, 417, 7852])).
% 48.56/31.68 tff(7872,plain,
% 48.56/31.68 ((~v90(constB52, bitIndex2)) | v90(constB53, bitIndex2)),
% 48.56/31.68 inference(unit_resolution,[status(thm)],[7871, 7864])).
% 48.56/31.68 tff(7873,plain,
% 48.56/31.68 (v90(constB53, bitIndex2)),
% 48.56/31.68 inference(unit_resolution,[status(thm)],[7872, 7846])).
% 48.56/31.68 tff(7874,plain,
% 48.56/31.68 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB51)) | (~v130(constB51, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB51)) | (~v130(constB51, bitIndex1)))),
% 48.56/31.68 inference(rewrite,[status(thm)],[])).
% 48.56/31.68 tff(7875,plain,
% 48.56/31.68 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB51)) | (~v130(constB51, bitIndex1)))),
% 48.56/31.68 inference(quant_inst,[status(thm)],[])).
% 48.56/31.68 tff(7876,plain,
% 48.56/31.68 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB51)) | (~v130(constB51, bitIndex1))),
% 48.56/31.68 inference(modus_ponens,[status(thm)],[7875, 7874])).
% 48.56/31.68 tff(7877,plain,
% 48.56/31.68 (~v130(constB51, bitIndex1)),
% 48.56/31.68 inference(unit_resolution,[status(thm)],[7876, 1935, 7758])).
% 48.56/31.68 tff(7878,plain,
% 48.56/31.68 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB51, bitIndex1)) | v26(constB51) | v130(constB51, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB51, bitIndex1)) | v26(constB51) | v130(constB51, bitIndex1))),
% 48.56/31.68 inference(rewrite,[status(thm)],[])).
% 48.56/31.68 tff(7879,plain,
% 48.56/31.68 ((v26(constB51) | v130(constB51, bitIndex1) | (~v127(constB51, bitIndex1))) <=> ((~v127(constB51, bitIndex1)) | v26(constB51) | v130(constB51, bitIndex1))),
% 48.56/31.68 inference(rewrite,[status(thm)],[])).
% 48.56/31.68 tff(7880,plain,
% 48.56/31.68 (((~![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)))) | ((~v127(constB51, bitIndex1)) | v26(constB51) | v130(constB51, bitIndex1)))),
% 48.56/31.68 inference(monotonicity,[status(thm)],[7879])).
% 48.56/31.68 tff(7881,plain,
% 48.56/31.68 (((~![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)))) | (~v127(constB51, bitIndex1)) | v26(constB51) | v130(constB51, bitIndex1))),
% 48.56/31.68 inference(transitivity,[status(thm)],[7880, 7878])).
% 48.56/31.68 tff(7882,plain,
% 48.56/31.68 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB51) | v130(constB51, bitIndex1) | (~v127(constB51, bitIndex1)))),
% 48.56/31.68 inference(quant_inst,[status(thm)],[])).
% 48.56/31.68 tff(7883,plain,
% 48.56/31.68 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB51, bitIndex1)) | v26(constB51) | v130(constB51, bitIndex1)),
% 48.56/31.68 inference(modus_ponens,[status(thm)],[7882, 7881])).
% 48.56/31.68 tff(7884,plain,
% 48.56/31.68 ((~v127(constB51, bitIndex1)) | v130(constB51, bitIndex1)),
% 48.56/31.68 inference(unit_resolution,[status(thm)],[7883, 450, 7778])).
% 48.56/31.68 tff(7885,plain,
% 48.56/31.68 (~v127(constB51, bitIndex1)),
% 48.56/31.68 inference(unit_resolution,[status(thm)],[7884, 7877])).
% 48.56/31.68 tff(7886,plain,
% 48.56/31.68 (((~![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)))),
% 48.56/31.68 inference(rewrite,[status(thm)],[])).
% 48.56/31.68 tff(7887,plain,
% 48.56/31.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB51, constB52)) | v127(constB51, bitIndex1) | (~v129(constB52, bitIndex1)))),
% 48.56/31.68 inference(quant_inst,[status(thm)],[])).
% 48.56/31.68 tff(7888,plain,
% 48.56/31.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB51, constB52)) | v127(constB51, bitIndex1) | (~v129(constB52, bitIndex1))),
% 48.56/31.68 inference(modus_ponens,[status(thm)],[7887, 7886])).
% 48.56/31.68 tff(7889,plain,
% 48.56/31.68 (v127(constB51, bitIndex1) | (~v129(constB52, bitIndex1))),
% 48.56/31.68 inference(unit_resolution,[status(thm)],[7888, 468, 7790])).
% 48.56/31.68 tff(7890,plain,
% 48.56/31.68 (~v129(constB52, bitIndex1)),
% 48.56/31.68 inference(unit_resolution,[status(thm)],[7889, 7885])).
% 48.56/31.68 tff(7891,plain,
% 48.56/31.68 (((~![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)))),
% 48.56/31.68 inference(rewrite,[status(thm)],[])).
% 48.56/31.68 tff(7892,plain,
% 48.56/31.68 (((~v90(constB52, bitIndex1)) | (~v100(constB52)) | v129(constB52, bitIndex1)) <=> ((~v90(constB52, bitIndex1)) | v129(constB52, bitIndex1) | (~v100(constB52)))),
% 48.56/31.68 inference(rewrite,[status(thm)],[])).
% 48.56/31.68 tff(7893,plain,
% 48.56/31.68 (((~![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))))),
% 48.56/31.68 inference(monotonicity,[status(thm)],[7892])).
% 48.56/31.68 tff(7894,plain,
% 48.56/31.68 (((~![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)))),
% 48.56/31.68 inference(transitivity,[status(thm)],[7893, 7891])).
% 48.56/31.68 tff(7895,plain,
% 48.56/31.68 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB52, bitIndex1)) | (~v100(constB52)) | v129(constB52, bitIndex1))),
% 48.56/31.68 inference(quant_inst,[status(thm)],[])).
% 48.56/31.68 tff(7896,plain,
% 48.56/31.68 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB52, bitIndex1)) | v129(constB52, bitIndex1) | (~v100(constB52))),
% 48.56/31.68 inference(modus_ponens,[status(thm)],[7895, 7894])).
% 48.56/31.68 tff(7897,plain,
% 48.56/31.68 ((~v90(constB52, bitIndex1)) | (~v100(constB52))),
% 48.56/31.68 inference(unit_resolution,[status(thm)],[7896, 483, 7890])).
% 48.56/31.68 tff(7898,plain,
% 48.56/31.68 (~v90(constB52, bitIndex1)),
% 48.56/31.68 inference(unit_resolution,[status(thm)],[7897, 7824])).
% 48.56/31.68 tff(7899,plain,
% 48.56/31.68 (((~![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)))),
% 48.56/31.68 inference(rewrite,[status(thm)],[])).
% 48.56/31.68 tff(7900,plain,
% 48.56/31.68 (((~nextState(constB52, constB53)) | v90(constB52, bitIndex1) | v100(constB53) | (~v90(constB53, bitIndex1))) <=> (v90(constB52, bitIndex1) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex1)))),
% 48.56/31.68 inference(rewrite,[status(thm)],[])).
% 48.56/31.68 tff(7901,plain,
% 48.56/31.68 (((~![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))))),
% 48.56/31.68 inference(monotonicity,[status(thm)],[7900])).
% 48.56/31.68 tff(7902,plain,
% 48.56/31.68 (((~![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)))),
% 48.56/31.68 inference(transitivity,[status(thm)],[7901, 7899])).
% 48.56/31.68 tff(7903,plain,
% 48.56/31.68 ((~![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)))),
% 48.56/31.68 inference(quant_inst,[status(thm)],[])).
% 48.56/31.68 tff(7904,plain,
% 48.56/31.68 ((~![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))),
% 48.56/31.68 inference(modus_ponens,[status(thm)],[7903, 7902])).
% 48.56/31.68 tff(7905,plain,
% 48.56/31.68 (v90(constB52, bitIndex1) | v100(constB53) | (~v90(constB53, bitIndex1))),
% 48.56/31.68 inference(unit_resolution,[status(thm)],[7904, 102, 7852])).
% 48.56/31.68 tff(7906,plain,
% 48.56/31.68 (v90(constB52, bitIndex1) | (~v90(constB53, bitIndex1))),
% 48.56/31.68 inference(unit_resolution,[status(thm)],[7905, 7864])).
% 48.56/31.68 tff(7907,plain,
% 48.56/31.68 (~v90(constB53, bitIndex1)),
% 48.56/31.68 inference(unit_resolution,[status(thm)],[7906, 7898])).
% 48.56/31.68 tff(7908,plain,
% 48.56/31.68 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB51)) | (~v130(constB51, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB51)) | (~v130(constB51, bitIndex0)))),
% 48.56/31.68 inference(rewrite,[status(thm)],[])).
% 48.56/31.68 tff(7909,plain,
% 48.56/31.68 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB51)) | (~v130(constB51, bitIndex0)))),
% 48.56/31.68 inference(quant_inst,[status(thm)],[])).
% 48.56/31.68 tff(7910,plain,
% 48.56/31.68 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB51)) | (~v130(constB51, bitIndex0))),
% 48.56/31.68 inference(modus_ponens,[status(thm)],[7909, 7908])).
% 48.56/31.68 tff(7911,plain,
% 48.56/31.68 (~v130(constB51, bitIndex0)),
% 48.56/31.68 inference(unit_resolution,[status(thm)],[7910, 1997, 7758])).
% 48.56/31.68 tff(7912,plain,
% 48.56/31.68 (((~![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))),
% 48.56/31.68 inference(rewrite,[status(thm)],[])).
% 48.56/31.68 tff(7913,plain,
% 48.56/31.68 ((v26(constB51) | v130(constB51, bitIndex0) | (~v127(constB51, bitIndex0))) <=> ((~v127(constB51, bitIndex0)) | v26(constB51) | v130(constB51, bitIndex0))),
% 48.56/31.68 inference(rewrite,[status(thm)],[])).
% 48.56/31.68 tff(7914,plain,
% 48.56/31.68 (((~![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)))),
% 48.56/31.68 inference(monotonicity,[status(thm)],[7913])).
% 48.56/31.68 tff(7915,plain,
% 48.56/31.68 (((~![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))),
% 48.56/31.68 inference(transitivity,[status(thm)],[7914, 7912])).
% 48.56/31.68 tff(7916,plain,
% 48.56/31.68 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB51) | v130(constB51, bitIndex0) | (~v127(constB51, bitIndex0)))),
% 48.56/31.68 inference(quant_inst,[status(thm)],[])).
% 48.56/31.68 tff(7917,plain,
% 48.56/31.68 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB51, bitIndex0)) | v26(constB51) | v130(constB51, bitIndex0)),
% 48.56/31.68 inference(modus_ponens,[status(thm)],[7916, 7915])).
% 48.56/31.68 tff(7918,plain,
% 48.56/31.68 ((~v127(constB51, bitIndex0)) | v130(constB51, bitIndex0)),
% 48.56/31.68 inference(unit_resolution,[status(thm)],[7917, 524, 7778])).
% 48.56/31.68 tff(7919,plain,
% 48.56/31.68 (~v127(constB51, bitIndex0)),
% 48.56/31.68 inference(unit_resolution,[status(thm)],[7918, 7911])).
% 48.56/31.68 tff(7920,plain,
% 48.56/31.68 (((~![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)))),
% 48.56/31.68 inference(rewrite,[status(thm)],[])).
% 48.56/31.68 tff(7921,plain,
% 48.56/31.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB51, constB52)) | v127(constB51, bitIndex0) | (~v129(constB52, bitIndex0)))),
% 48.56/31.68 inference(quant_inst,[status(thm)],[])).
% 48.56/31.68 tff(7922,plain,
% 48.56/31.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB51, constB52)) | v127(constB51, bitIndex0) | (~v129(constB52, bitIndex0))),
% 48.56/31.69 inference(modus_ponens,[status(thm)],[7921, 7920])).
% 48.56/31.69 tff(7923,plain,
% 48.56/31.69 (v127(constB51, bitIndex0) | (~v129(constB52, bitIndex0))),
% 48.56/31.69 inference(unit_resolution,[status(thm)],[7922, 542, 7790])).
% 48.56/31.69 tff(7924,plain,
% 48.56/31.69 (~v129(constB52, bitIndex0)),
% 48.56/31.69 inference(unit_resolution,[status(thm)],[7923, 7919])).
% 48.56/31.69 tff(7925,plain,
% 48.56/31.69 (((~![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)))),
% 48.56/31.69 inference(rewrite,[status(thm)],[])).
% 48.56/31.69 tff(7926,plain,
% 48.56/31.69 (((~v90(constB52, bitIndex0)) | (~v100(constB52)) | v129(constB52, bitIndex0)) <=> ((~v90(constB52, bitIndex0)) | v129(constB52, bitIndex0) | (~v100(constB52)))),
% 48.56/31.69 inference(rewrite,[status(thm)],[])).
% 48.56/31.69 tff(7927,plain,
% 48.56/31.69 (((~![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))))),
% 48.56/31.69 inference(monotonicity,[status(thm)],[7926])).
% 48.56/31.69 tff(7928,plain,
% 48.56/31.69 (((~![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)))),
% 48.56/31.69 inference(transitivity,[status(thm)],[7927, 7925])).
% 48.56/31.69 tff(7929,plain,
% 48.56/31.69 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB52, bitIndex0)) | (~v100(constB52)) | v129(constB52, bitIndex0))),
% 48.56/31.69 inference(quant_inst,[status(thm)],[])).
% 48.56/31.69 tff(7930,plain,
% 48.56/31.69 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB52, bitIndex0)) | v129(constB52, bitIndex0) | (~v100(constB52))),
% 48.56/31.69 inference(modus_ponens,[status(thm)],[7929, 7928])).
% 48.56/31.69 tff(7931,plain,
% 48.56/31.69 ((~v90(constB52, bitIndex0)) | (~v100(constB52))),
% 48.56/31.69 inference(unit_resolution,[status(thm)],[7930, 557, 7924])).
% 48.56/31.69 tff(7932,plain,
% 48.56/31.69 (~v90(constB52, bitIndex0)),
% 48.56/31.69 inference(unit_resolution,[status(thm)],[7931, 7824])).
% 48.56/31.69 tff(7933,plain,
% 48.56/31.69 (((~![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)))),
% 48.56/31.69 inference(rewrite,[status(thm)],[])).
% 48.56/31.69 tff(7934,plain,
% 48.56/31.69 (((~nextState(constB52, constB53)) | v90(constB52, bitIndex0) | v100(constB53) | (~v90(constB53, bitIndex0))) <=> (v90(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, bitIndex0)))),
% 48.56/31.69 inference(rewrite,[status(thm)],[])).
% 48.56/31.69 tff(7935,plain,
% 48.56/31.69 (((~![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))))),
% 48.56/31.69 inference(monotonicity,[status(thm)],[7934])).
% 48.56/31.69 tff(7936,plain,
% 48.56/31.69 (((~![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)))),
% 48.56/31.69 inference(transitivity,[status(thm)],[7935, 7933])).
% 48.56/31.69 tff(7937,plain,
% 48.56/31.69 ((~![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)))),
% 48.56/31.69 inference(quant_inst,[status(thm)],[])).
% 48.56/31.69 tff(7938,plain,
% 48.56/31.69 ((~![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))),
% 48.56/31.69 inference(modus_ponens,[status(thm)],[7937, 7936])).
% 48.56/31.69 tff(7939,plain,
% 48.56/31.69 (v90(constB52, bitIndex0) | v100(constB53) | (~v90(constB53, bitIndex0))),
% 48.56/31.69 inference(unit_resolution,[status(thm)],[7938, 123, 7852])).
% 48.56/31.69 tff(7940,plain,
% 48.56/31.69 (v90(constB52, bitIndex0) | (~v90(constB53, bitIndex0))),
% 48.56/31.69 inference(unit_resolution,[status(thm)],[7939, 7864])).
% 48.56/31.69 tff(7941,plain,
% 48.56/31.69 (~v90(constB53, bitIndex0)),
% 48.56/31.69 inference(unit_resolution,[status(thm)],[7940, 7932])).
% 48.56/31.69 tff(7942,plain,
% 48.56/31.69 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB53, bitIndex0) | v90(constB53, bitIndex1) | (~v90(constB53, bitIndex2)) | v123(constB53))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB53, bitIndex0) | v90(constB53, bitIndex1) | (~v90(constB53, bitIndex2)) | v123(constB53))),
% 48.56/31.69 inference(rewrite,[status(thm)],[])).
% 48.56/31.69 tff(7943,plain,
% 48.56/31.69 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB53, bitIndex0) | v90(constB53, bitIndex1) | (~v90(constB53, bitIndex2)) | v123(constB53))),
% 48.56/31.69 inference(quant_inst,[status(thm)],[])).
% 48.56/31.69 tff(7944,plain,
% 48.56/31.69 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB53, bitIndex0) | v90(constB53, bitIndex1) | (~v90(constB53, bitIndex2)) | v123(constB53)),
% 48.56/31.69 inference(modus_ponens,[status(thm)],[7943, 7942])).
% 48.56/31.69 tff(7945,plain,
% 48.56/31.69 (v123(constB53)),
% 48.56/31.69 inference(unit_resolution,[status(thm)],[7944, 584, 7941, 7907, 7873])).
% 48.56/31.69 tff(7946,plain,
% 48.56/31.69 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB53) | (~v123(constB53)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB53) | (~v123(constB53)))),
% 48.56/31.69 inference(rewrite,[status(thm)],[])).
% 48.56/31.69 tff(7947,plain,
% 48.56/31.69 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB53) | (~v123(constB53)))),
% 48.56/31.69 inference(quant_inst,[status(thm)],[])).
% 48.56/31.69 tff(7948,plain,
% 48.56/31.69 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB53) | (~v123(constB53))),
% 48.56/31.69 inference(modus_ponens,[status(thm)],[7947, 7946])).
% 48.56/31.69 tff(7949,plain,
% 48.56/31.69 (v115(constB53)),
% 48.56/31.69 inference(unit_resolution,[status(thm)],[7948, 595, 7945])).
% 48.56/31.69 tff(7950,plain,
% 48.56/31.69 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB53) | (~v115(constB53)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB53) | (~v115(constB53)))),
% 48.56/31.69 inference(rewrite,[status(thm)],[])).
% 48.56/31.69 tff(7951,plain,
% 48.56/31.69 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB53) | (~v115(constB53)))),
% 48.56/31.69 inference(quant_inst,[status(thm)],[])).
% 48.56/31.69 tff(7952,plain,
% 48.56/31.69 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB53) | (~v115(constB53))),
% 48.56/31.69 inference(modus_ponens,[status(thm)],[7951, 7950])).
% 48.56/31.69 tff(7953,plain,
% 48.56/31.69 (v114(constB53)),
% 48.56/31.69 inference(unit_resolution,[status(thm)],[7952, 199, 7949])).
% 48.56/31.69 tff(7954,plain,
% 48.56/31.69 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB53) | (~v114(constB53)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB53) | (~v114(constB53)))),
% 48.56/31.69 inference(rewrite,[status(thm)],[])).
% 48.56/31.69 tff(7955,plain,
% 48.56/31.69 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB53) | (~v114(constB53)))),
% 48.56/31.69 inference(quant_inst,[status(thm)],[])).
% 48.56/31.69 tff(7956,plain,
% 48.56/31.69 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB53) | (~v114(constB53))),
% 48.56/31.69 inference(modus_ponens,[status(thm)],[7955, 7954])).
% 48.56/31.69 tff(7957,plain,
% 48.56/31.69 (v113(constB53)),
% 48.56/31.69 inference(unit_resolution,[status(thm)],[7956, 210, 7953])).
% 48.56/31.69 tff(7958,assumption,(v26(constB53)), introduced(assumption)).
% 48.56/31.69 tff(7959,plain,
% 48.56/31.69 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB53))),
% 48.56/31.69 inference(quant_inst,[status(thm)],[])).
% 48.56/31.69 tff(7960,plain,
% 48.56/31.69 ($false),
% 48.56/31.69 inference(unit_resolution,[status(thm)],[7959, 16, 7958])).
% 48.56/31.69 tff(7961,plain,(~v26(constB53)), inference(lemma,lemma(discharge,[]))).
% 48.56/31.69 tff(7962,plain,
% 48.56/31.69 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | (~v113(constB53)) | v112(constB53))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB53) | (~v113(constB53)) | v112(constB53))),
% 48.56/31.69 inference(rewrite,[status(thm)],[])).
% 48.56/31.69 tff(7963,plain,
% 48.56/31.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | (~v113(constB53)) | v112(constB53))),
% 48.56/31.69 inference(quant_inst,[status(thm)],[])).
% 48.56/31.69 tff(7964,plain,
% 48.56/31.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB53) | (~v113(constB53)) | v112(constB53)),
% 48.56/31.69 inference(modus_ponens,[status(thm)],[7963, 7962])).
% 48.56/31.69 tff(7965,plain,
% 48.56/31.69 ((~v113(constB53)) | v112(constB53)),
% 48.56/31.69 inference(unit_resolution,[status(thm)],[7964, 224, 7961])).
% 48.56/31.69 tff(7966,plain,
% 48.56/31.69 (v112(constB53)),
% 48.56/31.69 inference(unit_resolution,[status(thm)],[7965, 7957])).
% 48.56/31.69 tff(7967,plain,
% 48.56/31.69 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB53) | (~v112(constB53)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB53) | (~v112(constB53)))),
% 48.56/31.69 inference(rewrite,[status(thm)],[])).
% 48.56/31.69 tff(7968,plain,
% 48.56/31.69 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB53) | (~v112(constB53)))),
% 48.56/31.69 inference(quant_inst,[status(thm)],[])).
% 48.56/31.69 tff(7969,plain,
% 48.56/31.69 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB53) | (~v112(constB53))),
% 48.56/31.69 inference(modus_ponens,[status(thm)],[7968, 7967])).
% 48.56/31.69 tff(7970,plain,
% 48.56/31.69 (v108(constB53)),
% 48.56/31.69 inference(unit_resolution,[status(thm)],[7969, 236, 7966])).
% 48.56/31.69 tff(7971,plain,
% 48.56/31.69 (nextState(constB53, constB54) <=> nextState(constB53, constB54)),
% 48.56/31.69 inference(rewrite,[status(thm)],[])).
% 48.56/31.69 tff(7972,axiom,(nextState(constB53, constB54)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_53_1')).
% 48.56/31.69 tff(7973,plain,
% 48.56/31.69 (nextState(constB53, constB54)),
% 48.56/31.69 inference(modus_ponens,[status(thm)],[7972, 7971])).
% 48.56/31.69 tff(7974,plain,
% 48.56/31.69 (((~![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)))),
% 48.56/31.69 inference(rewrite,[status(thm)],[])).
% 48.56/31.69 tff(7975,plain,
% 48.56/31.69 (((~nextState(constB53, constB54)) | (~v108(constB53)) | v110(constB54)) <=> ((~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53)))),
% 48.56/31.69 inference(rewrite,[status(thm)],[])).
% 48.56/31.69 tff(7976,plain,
% 48.56/31.69 (((~![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))))),
% 48.56/31.69 inference(monotonicity,[status(thm)],[7975])).
% 48.56/31.69 tff(7977,plain,
% 48.56/31.69 (((~![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)))),
% 48.56/31.69 inference(transitivity,[status(thm)],[7976, 7974])).
% 48.56/31.69 tff(7978,plain,
% 48.56/31.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB53, constB54)) | (~v108(constB53)) | v110(constB54))),
% 48.56/31.69 inference(quant_inst,[status(thm)],[])).
% 48.56/31.69 tff(7979,plain,
% 48.56/31.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53))),
% 48.56/31.69 inference(modus_ponens,[status(thm)],[7978, 7977])).
% 48.56/31.69 tff(7980,plain,
% 48.56/31.69 (v110(constB54) | (~v108(constB53))),
% 48.56/31.69 inference(unit_resolution,[status(thm)],[7979, 253, 7973])).
% 48.56/31.69 tff(7981,plain,
% 48.56/31.69 (v110(constB54)),
% 48.56/31.69 inference(unit_resolution,[status(thm)],[7980, 7970])).
% 48.56/31.69 tff(7982,plain,
% 48.56/31.69 (((~![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)))),
% 48.56/31.69 inference(rewrite,[status(thm)],[])).
% 48.56/31.69 tff(7983,plain,
% 48.56/31.69 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB53) | (~nextState(constB53, constB54)) | (~v104(constB54)))),
% 48.56/31.69 inference(quant_inst,[status(thm)],[])).
% 48.56/31.69 tff(7984,plain,
% 48.56/31.69 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB53) | (~nextState(constB53, constB54)) | (~v104(constB54))),
% 48.56/31.69 inference(modus_ponens,[status(thm)],[7983, 7982])).
% 48.56/31.69 tff(7985,plain,
% 48.56/31.69 (~v104(constB54)),
% 48.56/31.69 inference(unit_resolution,[status(thm)],[7984, 271, 7973, 7849])).
% 48.56/31.69 tff(7986,plain,
% 48.56/31.69 (((~![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))),
% 48.56/31.69 inference(rewrite,[status(thm)],[])).
% 48.56/31.69 tff(7987,plain,
% 48.56/31.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB53, constB54)) | v102(constB54) | v104(constB54))),
% 48.56/31.69 inference(quant_inst,[status(thm)],[])).
% 48.56/31.69 tff(7988,plain,
% 48.56/31.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB53, constB54)) | v102(constB54) | v104(constB54)),
% 48.56/31.69 inference(modus_ponens,[status(thm)],[7987, 7986])).
% 48.56/31.69 tff(7989,plain,
% 48.56/31.69 (v102(constB54) | v104(constB54)),
% 48.56/31.69 inference(unit_resolution,[status(thm)],[7988, 285, 7973])).
% 48.56/31.69 tff(7990,plain,
% 48.56/31.69 (v102(constB54)),
% 48.56/31.69 inference(unit_resolution,[status(thm)],[7989, 7985])).
% 48.56/31.69 tff(7991,plain,
% 48.56/31.69 (v1(constB54) <=> v1(constB54)),
% 48.56/31.69 inference(rewrite,[status(thm)],[])).
% 48.56/31.69 tff(7992,axiom,(v1(constB54)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_54_1')).
% 48.56/31.69 tff(7993,plain,
% 48.56/31.69 (v1(constB54)),
% 48.56/31.69 inference(modus_ponens,[status(thm)],[7992, 7991])).
% 48.56/31.69 tff(7994,plain,
% 48.56/31.69 (((~![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)))),
% 48.56/31.69 inference(rewrite,[status(thm)],[])).
% 48.56/31.69 tff(7995,plain,
% 48.56/31.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB53, constB54)) | v101(constB54) | (~v102(constB54)) | (~v1(constB54)))),
% 48.56/31.69 inference(quant_inst,[status(thm)],[])).
% 48.56/31.69 tff(7996,plain,
% 48.56/31.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB53, constB54)) | v101(constB54) | (~v102(constB54)) | (~v1(constB54))),
% 48.56/31.69 inference(modus_ponens,[status(thm)],[7995, 7994])).
% 48.56/31.69 tff(7997,plain,
% 48.56/31.69 (v101(constB54) | (~v102(constB54))),
% 48.56/31.69 inference(unit_resolution,[status(thm)],[7996, 303, 7973, 7993])).
% 48.56/31.69 tff(7998,plain,
% 48.56/31.69 (v101(constB54)),
% 48.56/31.69 inference(unit_resolution,[status(thm)],[7997, 7990])).
% 48.56/31.69 tff(7999,plain,
% 48.56/31.69 (((~![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)))),
% 48.56/31.69 inference(rewrite,[status(thm)],[])).
% 48.56/31.69 tff(8000,plain,
% 48.56/31.69 (((~nextState(constB53, constB54)) | (~v101(constB54)) | (~v110(constB54)) | v100(constB54)) <=> ((~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54)))),
% 48.56/31.69 inference(rewrite,[status(thm)],[])).
% 48.56/31.69 tff(8001,plain,
% 48.56/31.69 (((~![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))))),
% 48.56/31.69 inference(monotonicity,[status(thm)],[8000])).
% 48.56/31.69 tff(8002,plain,
% 48.56/31.69 (((~![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)))),
% 48.56/31.69 inference(transitivity,[status(thm)],[8001, 7999])).
% 48.56/31.69 tff(8003,plain,
% 48.56/31.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB53, constB54)) | (~v101(constB54)) | (~v110(constB54)) | v100(constB54))),
% 48.56/31.69 inference(quant_inst,[status(thm)],[])).
% 48.56/31.69 tff(8004,plain,
% 48.56/31.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54))),
% 48.56/31.69 inference(modus_ponens,[status(thm)],[8003, 8002])).
% 48.56/31.69 tff(8005,plain,
% 48.56/31.69 (v100(constB54) | (~v101(constB54)) | (~v110(constB54))),
% 48.56/31.69 inference(unit_resolution,[status(thm)],[8004, 318, 7973])).
% 48.56/31.69 tff(8006,plain,
% 48.56/31.69 (v100(constB54) | (~v110(constB54))),
% 48.56/31.69 inference(unit_resolution,[status(thm)],[8005, 7998])).
% 48.56/31.69 tff(8007,plain,
% 48.56/31.69 (v100(constB54)),
% 48.56/31.69 inference(unit_resolution,[status(thm)],[8006, 7981])).
% 48.56/31.69 tff(8008,plain,
% 48.56/31.69 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB53)) | v130(constB53, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB53)) | v130(constB53, bitIndex2))),
% 48.56/31.69 inference(rewrite,[status(thm)],[])).
% 48.56/31.69 tff(8009,plain,
% 48.56/31.69 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB53)) | v130(constB53, bitIndex2))),
% 48.56/31.69 inference(quant_inst,[status(thm)],[])).
% 48.56/31.69 tff(8010,plain,
% 48.56/31.69 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB53)) | v130(constB53, bitIndex2)),
% 48.56/31.69 inference(modus_ponens,[status(thm)],[8009, 8008])).
% 48.56/31.69 tff(8011,plain,
% 48.56/31.69 (v130(constB53, bitIndex2)),
% 48.56/31.69 inference(unit_resolution,[status(thm)],[8010, 836, 7945])).
% 48.56/31.69 tff(8012,plain,
% 48.56/31.69 (((~![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))) | v26(constB53) | (~v130(constB53, bitIndex2)) | v127(constB53, bitIndex2))),
% 48.56/31.69 inference(rewrite,[status(thm)],[])).
% 48.56/31.69 tff(8013,plain,
% 48.56/31.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB53) | (~v130(constB53, bitIndex2)) | v127(constB53, bitIndex2))),
% 48.56/31.69 inference(quant_inst,[status(thm)],[])).
% 48.56/31.69 tff(8014,plain,
% 48.56/31.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB53) | (~v130(constB53, bitIndex2)) | v127(constB53, bitIndex2)),
% 48.56/31.69 inference(modus_ponens,[status(thm)],[8013, 8012])).
% 48.56/31.69 tff(8015,plain,
% 48.56/31.69 ((~v130(constB53, bitIndex2)) | v127(constB53, bitIndex2)),
% 48.56/31.69 inference(unit_resolution,[status(thm)],[8014, 351, 7961])).
% 48.56/31.69 tff(8016,plain,
% 48.56/31.69 (v127(constB53, bitIndex2)),
% 48.56/31.69 inference(unit_resolution,[status(thm)],[8015, 8011])).
% 48.56/31.69 tff(8017,plain,
% 48.56/31.69 (((~![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))),
% 48.56/31.69 inference(rewrite,[status(thm)],[])).
% 48.56/31.69 tff(8018,plain,
% 48.56/31.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB53, constB54)) | (~v127(constB53, bitIndex2)) | v129(constB54, bitIndex2))),
% 48.56/31.69 inference(quant_inst,[status(thm)],[])).
% 48.56/31.69 tff(8019,plain,
% 48.56/31.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB53, constB54)) | (~v127(constB53, bitIndex2)) | v129(constB54, bitIndex2)),
% 48.56/31.69 inference(modus_ponens,[status(thm)],[8018, 8017])).
% 48.56/31.69 tff(8020,plain,
% 48.56/31.69 ((~v127(constB53, bitIndex2)) | v129(constB54, bitIndex2)),
% 48.56/31.69 inference(unit_resolution,[status(thm)],[8019, 366, 7973])).
% 48.56/31.69 tff(8021,plain,
% 48.56/31.69 (v129(constB54, bitIndex2)),
% 48.56/31.69 inference(unit_resolution,[status(thm)],[8020, 8016])).
% 48.56/31.69 tff(8022,plain,
% 48.56/31.69 (((~![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)))),
% 48.56/31.69 inference(rewrite,[status(thm)],[])).
% 48.56/31.69 tff(8023,plain,
% 48.56/31.69 ((v90(constB54, bitIndex2) | (~v100(constB54)) | (~v129(constB54, bitIndex2))) <=> (v90(constB54, bitIndex2) | (~v129(constB54, bitIndex2)) | (~v100(constB54)))),
% 48.56/31.69 inference(rewrite,[status(thm)],[])).
% 48.56/31.69 tff(8024,plain,
% 48.56/31.69 (((~![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))))),
% 48.56/31.69 inference(monotonicity,[status(thm)],[8023])).
% 48.56/31.69 tff(8025,plain,
% 48.56/31.69 (((~![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)))),
% 48.56/31.69 inference(transitivity,[status(thm)],[8024, 8022])).
% 48.56/31.69 tff(8026,plain,
% 48.56/31.69 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB54, bitIndex2) | (~v100(constB54)) | (~v129(constB54, bitIndex2)))),
% 48.56/31.69 inference(quant_inst,[status(thm)],[])).
% 48.56/31.69 tff(8027,plain,
% 48.56/31.69 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB54, bitIndex2) | (~v129(constB54, bitIndex2)) | (~v100(constB54))),
% 48.56/31.69 inference(modus_ponens,[status(thm)],[8026, 8025])).
% 48.56/31.69 tff(8028,plain,
% 48.56/31.69 (v90(constB54, bitIndex2) | (~v100(constB54))),
% 48.56/31.69 inference(unit_resolution,[status(thm)],[8027, 381, 8021])).
% 48.56/31.69 tff(8029,plain,
% 48.56/31.69 (v90(constB54, bitIndex2)),
% 48.56/31.69 inference(unit_resolution,[status(thm)],[8028, 8007])).
% 48.56/31.69 tff(8030,plain,
% 48.56/31.69 ((~v1(constB55)) <=> (~v1(constB55))),
% 48.56/31.69 inference(rewrite,[status(thm)],[])).
% 48.56/31.69 tff(8031,axiom,(~v1(constB55)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_55_1_1')).
% 48.56/31.69 tff(8032,plain,
% 48.56/31.69 (~v1(constB55)),
% 48.56/31.69 inference(modus_ponens,[status(thm)],[8031, 8030])).
% 48.56/31.69 tff(8033,plain,
% 48.56/31.69 (nextState(constB54, constB55) <=> nextState(constB54, constB55)),
% 48.56/31.69 inference(rewrite,[status(thm)],[])).
% 48.56/31.69 tff(8034,axiom,(nextState(constB54, constB55)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_54_1')).
% 48.56/31.69 tff(8035,plain,
% 48.56/31.69 (nextState(constB54, constB55)),
% 48.56/31.69 inference(modus_ponens,[status(thm)],[8034, 8033])).
% 48.56/31.69 tff(8036,plain,
% 48.56/31.69 (((~![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)))),
% 48.56/31.69 inference(rewrite,[status(thm)],[])).
% 48.56/31.69 tff(8037,plain,
% 48.56/31.69 (((~nextState(constB54, constB55)) | (~v101(constB55)) | v1(constB55)) <=> (v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55)))),
% 48.56/31.69 inference(rewrite,[status(thm)],[])).
% 48.56/31.69 tff(8038,plain,
% 48.56/31.69 (((~![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))))),
% 48.56/31.69 inference(monotonicity,[status(thm)],[8037])).
% 48.56/31.69 tff(8039,plain,
% 48.56/31.69 (((~![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)))),
% 48.56/31.69 inference(transitivity,[status(thm)],[8038, 8036])).
% 48.56/31.69 tff(8040,plain,
% 48.56/31.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB54, constB55)) | (~v101(constB55)) | v1(constB55))),
% 48.56/31.69 inference(quant_inst,[status(thm)],[])).
% 48.56/31.69 tff(8041,plain,
% 48.56/31.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55))),
% 48.56/31.69 inference(modus_ponens,[status(thm)],[8040, 8039])).
% 48.56/31.69 tff(8042,plain,
% 48.56/31.69 (~v101(constB55)),
% 48.56/31.69 inference(unit_resolution,[status(thm)],[8041, 49, 8035, 8032])).
% 48.56/31.69 tff(8043,plain,
% 48.56/31.69 (((~![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)))),
% 48.56/31.69 inference(rewrite,[status(thm)],[])).
% 48.56/31.69 tff(8044,plain,
% 48.56/31.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB54, constB55)) | v101(constB55) | (~v100(constB55)))),
% 48.56/31.69 inference(quant_inst,[status(thm)],[])).
% 48.56/31.69 tff(8045,plain,
% 48.56/31.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB54, constB55)) | v101(constB55) | (~v100(constB55))),
% 48.56/31.69 inference(modus_ponens,[status(thm)],[8044, 8043])).
% 48.56/31.69 tff(8046,plain,
% 48.56/31.69 (v101(constB55) | (~v100(constB55))),
% 48.56/31.69 inference(unit_resolution,[status(thm)],[8045, 66, 8035])).
% 48.56/31.69 tff(8047,plain,
% 48.56/31.69 (~v100(constB55)),
% 48.56/31.69 inference(unit_resolution,[status(thm)],[8046, 8042])).
% 48.56/31.69 tff(8048,plain,
% 48.56/31.69 (((~![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))),
% 48.56/31.69 inference(rewrite,[status(thm)],[])).
% 48.56/31.69 tff(8049,plain,
% 48.56/31.69 (((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex2)) | v100(constB55) | v90(constB55, bitIndex2)) <=> ((~v90(constB54, bitIndex2)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex2))),
% 48.56/31.69 inference(rewrite,[status(thm)],[])).
% 48.56/31.69 tff(8050,plain,
% 48.56/31.69 (((~![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)))),
% 48.56/31.69 inference(monotonicity,[status(thm)],[8049])).
% 48.56/31.69 tff(8051,plain,
% 48.56/31.69 (((~![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))),
% 48.56/31.69 inference(transitivity,[status(thm)],[8050, 8048])).
% 48.56/31.69 tff(8052,plain,
% 48.56/31.69 ((~![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))),
% 48.56/31.69 inference(quant_inst,[status(thm)],[])).
% 48.56/31.69 tff(8053,plain,
% 48.56/31.69 ((~![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)),
% 48.56/31.69 inference(modus_ponens,[status(thm)],[8052, 8051])).
% 48.56/31.69 tff(8054,plain,
% 48.56/31.69 ((~v90(constB54, bitIndex2)) | v100(constB55) | v90(constB55, bitIndex2)),
% 48.56/31.69 inference(unit_resolution,[status(thm)],[8053, 417, 8035])).
% 48.56/31.69 tff(8055,plain,
% 48.56/31.69 ((~v90(constB54, bitIndex2)) | v90(constB55, bitIndex2)),
% 48.56/31.69 inference(unit_resolution,[status(thm)],[8054, 8047])).
% 48.56/31.69 tff(8056,plain,
% 48.56/31.69 (v90(constB55, bitIndex2)),
% 48.56/31.69 inference(unit_resolution,[status(thm)],[8055, 8029])).
% 48.56/31.69 tff(8057,plain,
% 48.56/31.69 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB53)) | v130(constB53, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB53)) | v130(constB53, bitIndex1))),
% 48.65/31.70 inference(rewrite,[status(thm)],[])).
% 48.65/31.70 tff(8058,plain,
% 48.65/31.70 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB53)) | v130(constB53, bitIndex1))),
% 48.65/31.70 inference(quant_inst,[status(thm)],[])).
% 48.65/31.70 tff(8059,plain,
% 48.65/31.70 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB53)) | v130(constB53, bitIndex1)),
% 48.65/31.70 inference(modus_ponens,[status(thm)],[8058, 8057])).
% 48.65/31.70 tff(8060,plain,
% 48.65/31.70 (v130(constB53, bitIndex1)),
% 48.65/31.70 inference(unit_resolution,[status(thm)],[8059, 667, 7945])).
% 48.65/31.70 tff(8061,plain,
% 48.65/31.70 (((~![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))),
% 48.65/31.70 inference(rewrite,[status(thm)],[])).
% 48.65/31.70 tff(8062,plain,
% 48.65/31.70 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB53) | (~v130(constB53, bitIndex1)) | v127(constB53, bitIndex1))),
% 48.65/31.70 inference(quant_inst,[status(thm)],[])).
% 48.65/31.70 tff(8063,plain,
% 48.65/31.70 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB53) | (~v130(constB53, bitIndex1)) | v127(constB53, bitIndex1)),
% 48.65/31.70 inference(modus_ponens,[status(thm)],[8062, 8061])).
% 48.65/31.70 tff(8064,plain,
% 48.65/31.70 ((~v130(constB53, bitIndex1)) | v127(constB53, bitIndex1)),
% 48.65/31.70 inference(unit_resolution,[status(thm)],[8063, 681, 7961])).
% 48.65/31.70 tff(8065,plain,
% 48.65/31.70 (v127(constB53, bitIndex1)),
% 48.65/31.70 inference(unit_resolution,[status(thm)],[8064, 8060])).
% 48.65/31.70 tff(8066,plain,
% 48.65/31.70 (((~![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))),
% 48.65/31.70 inference(rewrite,[status(thm)],[])).
% 48.65/31.70 tff(8067,plain,
% 48.65/31.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB53, constB54)) | (~v127(constB53, bitIndex1)) | v129(constB54, bitIndex1))),
% 48.65/31.70 inference(quant_inst,[status(thm)],[])).
% 48.65/31.70 tff(8068,plain,
% 48.65/31.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB53, constB54)) | (~v127(constB53, bitIndex1)) | v129(constB54, bitIndex1)),
% 48.65/31.70 inference(modus_ponens,[status(thm)],[8067, 8066])).
% 48.65/31.70 tff(8069,plain,
% 48.65/31.70 ((~v127(constB53, bitIndex1)) | v129(constB54, bitIndex1)),
% 48.65/31.70 inference(unit_resolution,[status(thm)],[8068, 696, 7973])).
% 48.65/31.70 tff(8070,plain,
% 48.65/31.70 (v129(constB54, bitIndex1)),
% 48.65/31.70 inference(unit_resolution,[status(thm)],[8069, 8065])).
% 48.65/31.70 tff(8071,plain,
% 48.65/31.70 (((~![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)))),
% 48.65/31.70 inference(rewrite,[status(thm)],[])).
% 48.65/31.70 tff(8072,plain,
% 48.65/31.70 ((v90(constB54, bitIndex1) | (~v100(constB54)) | (~v129(constB54, bitIndex1))) <=> (v90(constB54, bitIndex1) | (~v129(constB54, bitIndex1)) | (~v100(constB54)))),
% 48.65/31.70 inference(rewrite,[status(thm)],[])).
% 48.65/31.70 tff(8073,plain,
% 48.65/31.70 (((~![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))))),
% 48.65/31.70 inference(monotonicity,[status(thm)],[8072])).
% 48.65/31.70 tff(8074,plain,
% 48.65/31.70 (((~![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)))),
% 48.65/31.70 inference(transitivity,[status(thm)],[8073, 8071])).
% 48.65/31.70 tff(8075,plain,
% 48.65/31.70 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB54, bitIndex1) | (~v100(constB54)) | (~v129(constB54, bitIndex1)))),
% 48.65/31.70 inference(quant_inst,[status(thm)],[])).
% 48.65/31.70 tff(8076,plain,
% 48.65/31.70 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB54, bitIndex1) | (~v129(constB54, bitIndex1)) | (~v100(constB54))),
% 48.65/31.70 inference(modus_ponens,[status(thm)],[8075, 8074])).
% 48.65/31.70 tff(8077,plain,
% 48.65/31.70 (v90(constB54, bitIndex1) | (~v100(constB54))),
% 48.65/31.70 inference(unit_resolution,[status(thm)],[8076, 711, 8070])).
% 48.65/31.70 tff(8078,plain,
% 48.65/31.70 (v90(constB54, bitIndex1)),
% 48.65/31.70 inference(unit_resolution,[status(thm)],[8077, 8007])).
% 48.65/31.70 tff(8079,plain,
% 48.65/31.70 (((~![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))),
% 48.65/31.70 inference(rewrite,[status(thm)],[])).
% 48.65/31.70 tff(8080,plain,
% 48.65/31.70 (((~nextState(constB54, constB55)) | (~v90(constB54, bitIndex1)) | v100(constB55) | v90(constB55, bitIndex1)) <=> ((~v90(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, bitIndex1))),
% 48.65/31.70 inference(rewrite,[status(thm)],[])).
% 48.65/31.70 tff(8081,plain,
% 48.65/31.70 (((~![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)))),
% 48.65/31.70 inference(monotonicity,[status(thm)],[8080])).
% 48.65/31.70 tff(8082,plain,
% 48.65/31.70 (((~![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))),
% 48.65/31.70 inference(transitivity,[status(thm)],[8081, 8079])).
% 48.65/31.70 tff(8083,plain,
% 48.65/31.70 ((~![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))),
% 48.65/31.70 inference(quant_inst,[status(thm)],[])).
% 48.65/31.70 tff(8084,plain,
% 48.65/31.70 ((~![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)),
% 48.65/31.70 inference(modus_ponens,[status(thm)],[8083, 8082])).
% 48.65/31.70 tff(8085,plain,
% 48.65/31.70 ((~v90(constB54, bitIndex1)) | v100(constB55) | v90(constB55, bitIndex1)),
% 48.65/31.70 inference(unit_resolution,[status(thm)],[8084, 747, 8035])).
% 48.65/31.70 tff(8086,plain,
% 48.65/31.70 ((~v90(constB54, bitIndex1)) | v90(constB55, bitIndex1)),
% 48.65/31.70 inference(unit_resolution,[status(thm)],[8085, 8047])).
% 48.65/31.70 tff(8087,plain,
% 48.65/31.70 (v90(constB55, bitIndex1)),
% 48.65/31.70 inference(unit_resolution,[status(thm)],[8086, 8078])).
% 48.65/31.70 tff(8088,plain,
% 48.65/31.70 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB53)) | (~v130(constB53, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB53)) | (~v130(constB53, bitIndex0)))),
% 48.65/31.70 inference(rewrite,[status(thm)],[])).
% 48.65/31.70 tff(8089,plain,
% 48.65/31.70 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB53)) | (~v130(constB53, bitIndex0)))),
% 48.65/31.70 inference(quant_inst,[status(thm)],[])).
% 48.65/31.70 tff(8090,plain,
% 48.65/31.70 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB53)) | (~v130(constB53, bitIndex0))),
% 48.65/31.70 inference(modus_ponens,[status(thm)],[8089, 8088])).
% 48.65/31.70 tff(8091,plain,
% 48.65/31.70 (~v130(constB53, bitIndex0)),
% 48.65/31.70 inference(unit_resolution,[status(thm)],[8090, 975, 7945])).
% 48.65/31.70 tff(8092,plain,
% 48.65/31.70 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB53, bitIndex0)) | v26(constB53) | v130(constB53, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB53, bitIndex0)) | v26(constB53) | v130(constB53, bitIndex0))),
% 48.65/31.70 inference(rewrite,[status(thm)],[])).
% 48.65/31.70 tff(8093,plain,
% 48.65/31.70 ((v26(constB53) | v130(constB53, bitIndex0) | (~v127(constB53, bitIndex0))) <=> ((~v127(constB53, bitIndex0)) | v26(constB53) | v130(constB53, bitIndex0))),
% 48.65/31.70 inference(rewrite,[status(thm)],[])).
% 48.65/31.70 tff(8094,plain,
% 48.65/31.70 (((~![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)))) | ((~v127(constB53, bitIndex0)) | v26(constB53) | v130(constB53, bitIndex0)))),
% 48.65/31.70 inference(monotonicity,[status(thm)],[8093])).
% 48.65/31.70 tff(8095,plain,
% 48.65/31.70 (((~![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)))) | (~v127(constB53, bitIndex0)) | v26(constB53) | v130(constB53, bitIndex0))),
% 48.65/31.70 inference(transitivity,[status(thm)],[8094, 8092])).
% 48.65/31.70 tff(8096,plain,
% 48.65/31.70 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB53) | v130(constB53, bitIndex0) | (~v127(constB53, bitIndex0)))),
% 48.65/31.70 inference(quant_inst,[status(thm)],[])).
% 48.65/31.70 tff(8097,plain,
% 48.65/31.70 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB53, bitIndex0)) | v26(constB53) | v130(constB53, bitIndex0)),
% 48.65/31.70 inference(modus_ponens,[status(thm)],[8096, 8095])).
% 48.65/31.70 tff(8098,plain,
% 48.65/31.70 ((~v127(constB53, bitIndex0)) | v130(constB53, bitIndex0)),
% 48.65/31.70 inference(unit_resolution,[status(thm)],[8097, 524, 7961])).
% 48.65/31.70 tff(8099,plain,
% 48.65/31.70 (~v127(constB53, bitIndex0)),
% 48.65/31.70 inference(unit_resolution,[status(thm)],[8098, 8091])).
% 48.65/31.70 tff(8100,plain,
% 48.65/31.70 (((~![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)))),
% 48.65/31.70 inference(rewrite,[status(thm)],[])).
% 48.65/31.70 tff(8101,plain,
% 48.65/31.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB53, constB54)) | v127(constB53, bitIndex0) | (~v129(constB54, bitIndex0)))),
% 48.65/31.70 inference(quant_inst,[status(thm)],[])).
% 48.65/31.70 tff(8102,plain,
% 48.65/31.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB53, constB54)) | v127(constB53, bitIndex0) | (~v129(constB54, bitIndex0))),
% 48.65/31.70 inference(modus_ponens,[status(thm)],[8101, 8100])).
% 48.65/31.70 tff(8103,plain,
% 48.65/31.70 (v127(constB53, bitIndex0) | (~v129(constB54, bitIndex0))),
% 48.65/31.70 inference(unit_resolution,[status(thm)],[8102, 542, 7973])).
% 48.65/31.70 tff(8104,plain,
% 48.65/31.70 (~v129(constB54, bitIndex0)),
% 48.65/31.70 inference(unit_resolution,[status(thm)],[8103, 8099])).
% 48.65/31.70 tff(8105,plain,
% 48.65/31.70 (((~![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)))),
% 48.65/31.70 inference(rewrite,[status(thm)],[])).
% 48.65/31.70 tff(8106,plain,
% 48.65/31.70 (((~v90(constB54, bitIndex0)) | (~v100(constB54)) | v129(constB54, bitIndex0)) <=> ((~v90(constB54, bitIndex0)) | v129(constB54, bitIndex0) | (~v100(constB54)))),
% 48.65/31.70 inference(rewrite,[status(thm)],[])).
% 48.65/31.70 tff(8107,plain,
% 48.65/31.70 (((~![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))))),
% 48.65/31.70 inference(monotonicity,[status(thm)],[8106])).
% 48.65/31.70 tff(8108,plain,
% 48.65/31.70 (((~![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)))),
% 48.65/31.70 inference(transitivity,[status(thm)],[8107, 8105])).
% 48.65/31.70 tff(8109,plain,
% 48.65/31.70 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB54, bitIndex0)) | (~v100(constB54)) | v129(constB54, bitIndex0))),
% 48.65/31.70 inference(quant_inst,[status(thm)],[])).
% 48.65/31.70 tff(8110,plain,
% 48.65/31.70 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB54, bitIndex0)) | v129(constB54, bitIndex0) | (~v100(constB54))),
% 48.65/31.70 inference(modus_ponens,[status(thm)],[8109, 8108])).
% 48.65/31.70 tff(8111,plain,
% 48.65/31.70 ((~v90(constB54, bitIndex0)) | (~v100(constB54))),
% 48.65/31.70 inference(unit_resolution,[status(thm)],[8110, 557, 8104])).
% 48.65/31.70 tff(8112,plain,
% 48.65/31.70 (~v90(constB54, bitIndex0)),
% 48.65/31.70 inference(unit_resolution,[status(thm)],[8111, 8007])).
% 48.65/31.70 tff(8113,plain,
% 48.65/31.70 (((~![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)))),
% 48.65/31.70 inference(rewrite,[status(thm)],[])).
% 48.65/31.70 tff(8114,plain,
% 48.65/31.70 (((~nextState(constB54, constB55)) | v90(constB54, bitIndex0) | v100(constB55) | (~v90(constB55, bitIndex0))) <=> (v90(constB54, bitIndex0) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, bitIndex0)))),
% 48.65/31.70 inference(rewrite,[status(thm)],[])).
% 48.65/31.70 tff(8115,plain,
% 48.65/31.70 (((~![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))))),
% 48.65/31.70 inference(monotonicity,[status(thm)],[8114])).
% 48.65/31.70 tff(8116,plain,
% 48.65/31.70 (((~![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)))),
% 48.65/31.70 inference(transitivity,[status(thm)],[8115, 8113])).
% 48.65/31.70 tff(8117,plain,
% 48.65/31.70 ((~![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)))),
% 48.65/31.70 inference(quant_inst,[status(thm)],[])).
% 48.65/31.70 tff(8118,plain,
% 48.65/31.70 ((~![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))),
% 48.65/31.70 inference(modus_ponens,[status(thm)],[8117, 8116])).
% 48.65/31.70 tff(8119,plain,
% 48.65/31.70 (v90(constB54, bitIndex0) | v100(constB55) | (~v90(constB55, bitIndex0))),
% 48.65/31.70 inference(unit_resolution,[status(thm)],[8118, 123, 8035])).
% 48.65/31.70 tff(8120,plain,
% 48.65/31.70 (v90(constB54, bitIndex0) | (~v90(constB55, bitIndex0))),
% 48.65/31.70 inference(unit_resolution,[status(thm)],[8119, 8047])).
% 48.65/31.70 tff(8121,plain,
% 48.65/31.70 (~v90(constB55, bitIndex0)),
% 48.65/31.70 inference(unit_resolution,[status(thm)],[8120, 8112])).
% 48.65/31.70 tff(8122,plain,
% 48.65/31.70 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex2)) | v125(constB55))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex2)) | v125(constB55))),
% 48.65/31.70 inference(rewrite,[status(thm)],[])).
% 48.65/31.70 tff(8123,plain,
% 48.65/31.70 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex2)) | v125(constB55))),
% 48.65/31.70 inference(quant_inst,[status(thm)],[])).
% 48.65/31.70 tff(8124,plain,
% 48.65/31.70 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB55, bitIndex0) | (~v90(constB55, bitIndex1)) | (~v90(constB55, bitIndex2)) | v125(constB55)),
% 48.65/31.70 inference(modus_ponens,[status(thm)],[8123, 8122])).
% 48.65/31.70 tff(8125,plain,
% 48.65/31.70 (v125(constB55)),
% 48.65/31.70 inference(unit_resolution,[status(thm)],[8124, 1019, 8121, 8087, 8056])).
% 48.65/31.70 tff(8126,plain,
% 48.65/31.70 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB55) | (~v125(constB55)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB55) | (~v125(constB55)))),
% 48.65/31.70 inference(rewrite,[status(thm)],[])).
% 48.65/31.70 tff(8127,plain,
% 48.65/31.70 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB55) | (~v125(constB55)))),
% 48.65/31.70 inference(quant_inst,[status(thm)],[])).
% 48.65/31.70 tff(8128,plain,
% 48.65/31.70 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB55) | (~v125(constB55))),
% 48.65/31.70 inference(modus_ponens,[status(thm)],[8127, 8126])).
% 48.65/31.70 tff(8129,plain,
% 48.65/31.70 (v113(constB55)),
% 48.65/31.70 inference(unit_resolution,[status(thm)],[8128, 1031, 8125])).
% 48.65/31.70 tff(8130,assumption,(v26(constB55)), introduced(assumption)).
% 48.65/31.70 tff(8131,plain,
% 48.65/31.70 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB55))),
% 48.65/31.70 inference(quant_inst,[status(thm)],[])).
% 48.65/31.70 tff(8132,plain,
% 48.65/31.70 ($false),
% 48.65/31.70 inference(unit_resolution,[status(thm)],[8131, 16, 8130])).
% 48.65/31.70 tff(8133,plain,(~v26(constB55)), inference(lemma,lemma(discharge,[]))).
% 48.65/31.70 tff(8134,plain,
% 48.65/31.70 (((~![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)))),
% 48.65/31.70 inference(rewrite,[status(thm)],[])).
% 48.65/31.70 tff(8135,plain,
% 48.65/31.70 ((v26(constB55) | (~v113(constB55)) | v112(constB55)) <=> (v26(constB55) | v112(constB55) | (~v113(constB55)))),
% 48.65/31.70 inference(rewrite,[status(thm)],[])).
% 48.65/31.70 tff(8136,plain,
% 48.65/31.70 (((~![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))))),
% 48.65/31.70 inference(monotonicity,[status(thm)],[8135])).
% 48.65/31.70 tff(8137,plain,
% 48.65/31.70 (((~![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)))),
% 48.65/31.70 inference(transitivity,[status(thm)],[8136, 8134])).
% 48.65/31.70 tff(8138,plain,
% 48.65/31.70 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB55) | (~v113(constB55)) | v112(constB55))),
% 48.65/31.70 inference(quant_inst,[status(thm)],[])).
% 48.65/31.70 tff(8139,plain,
% 48.65/31.70 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB55) | v112(constB55) | (~v113(constB55))),
% 48.65/31.70 inference(modus_ponens,[status(thm)],[8138, 8137])).
% 48.65/31.70 tff(8140,plain,
% 48.65/31.70 (v112(constB55) | (~v113(constB55))),
% 48.65/31.70 inference(unit_resolution,[status(thm)],[8139, 224, 8133])).
% 48.65/31.70 tff(8141,plain,
% 48.65/31.70 (v112(constB55)),
% 48.65/31.70 inference(unit_resolution,[status(thm)],[8140, 8129])).
% 48.65/31.70 tff(8142,plain,
% 48.65/31.70 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB55) | (~v112(constB55)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB55) | (~v112(constB55)))),
% 48.65/31.70 inference(rewrite,[status(thm)],[])).
% 48.65/31.70 tff(8143,plain,
% 48.65/31.70 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB55) | (~v112(constB55)))),
% 48.65/31.70 inference(quant_inst,[status(thm)],[])).
% 48.65/31.70 tff(8144,plain,
% 48.65/31.70 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB55) | (~v112(constB55))),
% 48.65/31.70 inference(modus_ponens,[status(thm)],[8143, 8142])).
% 48.65/31.70 tff(8145,plain,
% 48.65/31.70 (v108(constB55)),
% 48.65/31.70 inference(unit_resolution,[status(thm)],[8144, 236, 8141])).
% 48.65/31.70 tff(8146,plain,
% 48.65/31.70 (nextState(constB55, constB56) <=> nextState(constB55, constB56)),
% 48.65/31.70 inference(rewrite,[status(thm)],[])).
% 48.65/31.70 tff(8147,axiom,(nextState(constB55, constB56)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_55_1')).
% 48.65/31.70 tff(8148,plain,
% 48.65/31.70 (nextState(constB55, constB56)),
% 48.65/31.70 inference(modus_ponens,[status(thm)],[8147, 8146])).
% 48.65/31.70 tff(8149,plain,
% 48.65/31.70 (((~![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)))),
% 48.65/31.70 inference(rewrite,[status(thm)],[])).
% 48.65/31.70 tff(8150,plain,
% 48.65/31.70 (((~nextState(constB55, constB56)) | (~v108(constB55)) | v110(constB56)) <=> ((~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55)))),
% 48.65/31.70 inference(rewrite,[status(thm)],[])).
% 48.65/31.70 tff(8151,plain,
% 48.65/31.70 (((~![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))))),
% 48.65/31.70 inference(monotonicity,[status(thm)],[8150])).
% 48.65/31.70 tff(8152,plain,
% 48.65/31.70 (((~![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)))),
% 48.65/31.70 inference(transitivity,[status(thm)],[8151, 8149])).
% 48.65/31.70 tff(8153,plain,
% 48.65/31.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB55, constB56)) | (~v108(constB55)) | v110(constB56))),
% 48.65/31.70 inference(quant_inst,[status(thm)],[])).
% 48.65/31.70 tff(8154,plain,
% 48.65/31.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55))),
% 48.65/31.70 inference(modus_ponens,[status(thm)],[8153, 8152])).
% 48.65/31.70 tff(8155,plain,
% 48.65/31.70 (v110(constB56) | (~v108(constB55))),
% 48.65/31.70 inference(unit_resolution,[status(thm)],[8154, 253, 8148])).
% 48.65/31.70 tff(8156,plain,
% 48.65/31.70 (v110(constB56)),
% 48.65/31.70 inference(unit_resolution,[status(thm)],[8155, 8145])).
% 48.65/31.70 tff(8157,plain,
% 48.65/31.70 (((~![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)))),
% 48.65/31.70 inference(rewrite,[status(thm)],[])).
% 48.65/31.70 tff(8158,plain,
% 48.65/31.70 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB55) | (~nextState(constB55, constB56)) | (~v104(constB56)))),
% 48.65/31.70 inference(quant_inst,[status(thm)],[])).
% 48.65/31.70 tff(8159,plain,
% 48.65/31.70 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB55) | (~nextState(constB55, constB56)) | (~v104(constB56))),
% 48.65/31.70 inference(modus_ponens,[status(thm)],[8158, 8157])).
% 48.65/31.70 tff(8160,plain,
% 48.65/31.70 (~v104(constB56)),
% 48.65/31.70 inference(unit_resolution,[status(thm)],[8159, 271, 8148, 8032])).
% 48.65/31.70 tff(8161,plain,
% 48.65/31.70 (((~![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))),
% 48.65/31.70 inference(rewrite,[status(thm)],[])).
% 48.65/31.70 tff(8162,plain,
% 48.65/31.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB55, constB56)) | v102(constB56) | v104(constB56))),
% 48.65/31.70 inference(quant_inst,[status(thm)],[])).
% 48.65/31.70 tff(8163,plain,
% 48.65/31.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB55, constB56)) | v102(constB56) | v104(constB56)),
% 48.65/31.70 inference(modus_ponens,[status(thm)],[8162, 8161])).
% 48.65/31.70 tff(8164,plain,
% 48.65/31.70 (v102(constB56) | v104(constB56)),
% 48.65/31.70 inference(unit_resolution,[status(thm)],[8163, 285, 8148])).
% 48.65/31.70 tff(8165,plain,
% 48.65/31.70 (v102(constB56)),
% 48.65/31.70 inference(unit_resolution,[status(thm)],[8164, 8160])).
% 48.65/31.70 tff(8166,plain,
% 48.65/31.70 (v1(constB56) <=> v1(constB56)),
% 48.65/31.70 inference(rewrite,[status(thm)],[])).
% 48.65/31.70 tff(8167,axiom,(v1(constB56)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_56_1')).
% 48.65/31.70 tff(8168,plain,
% 48.65/31.70 (v1(constB56)),
% 48.65/31.70 inference(modus_ponens,[status(thm)],[8167, 8166])).
% 48.65/31.70 tff(8169,plain,
% 48.65/31.70 (((~![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)))),
% 48.65/31.70 inference(rewrite,[status(thm)],[])).
% 48.65/31.70 tff(8170,plain,
% 48.65/31.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB55, constB56)) | v101(constB56) | (~v102(constB56)) | (~v1(constB56)))),
% 48.65/31.70 inference(quant_inst,[status(thm)],[])).
% 48.65/31.70 tff(8171,plain,
% 48.65/31.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB55, constB56)) | v101(constB56) | (~v102(constB56)) | (~v1(constB56))),
% 48.65/31.70 inference(modus_ponens,[status(thm)],[8170, 8169])).
% 48.65/31.70 tff(8172,plain,
% 48.65/31.70 (v101(constB56) | (~v102(constB56))),
% 48.65/31.70 inference(unit_resolution,[status(thm)],[8171, 303, 8148, 8168])).
% 48.65/31.70 tff(8173,plain,
% 48.65/31.70 (v101(constB56)),
% 48.65/31.70 inference(unit_resolution,[status(thm)],[8172, 8165])).
% 48.65/31.70 tff(8174,plain,
% 48.65/31.70 (((~![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)))),
% 48.65/31.70 inference(rewrite,[status(thm)],[])).
% 48.65/31.70 tff(8175,plain,
% 48.65/31.70 (((~nextState(constB55, constB56)) | (~v101(constB56)) | (~v110(constB56)) | v100(constB56)) <=> ((~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56)))),
% 48.65/31.70 inference(rewrite,[status(thm)],[])).
% 48.65/31.70 tff(8176,plain,
% 48.65/31.70 (((~![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))))),
% 48.65/31.70 inference(monotonicity,[status(thm)],[8175])).
% 48.65/31.70 tff(8177,plain,
% 48.65/31.70 (((~![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)))),
% 48.65/31.70 inference(transitivity,[status(thm)],[8176, 8174])).
% 48.65/31.70 tff(8178,plain,
% 48.65/31.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB55, constB56)) | (~v101(constB56)) | (~v110(constB56)) | v100(constB56))),
% 48.65/31.70 inference(quant_inst,[status(thm)],[])).
% 48.65/31.70 tff(8179,plain,
% 48.65/31.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56))),
% 48.65/31.70 inference(modus_ponens,[status(thm)],[8178, 8177])).
% 48.65/31.70 tff(8180,plain,
% 48.65/31.70 (v100(constB56) | (~v101(constB56)) | (~v110(constB56))),
% 48.65/31.70 inference(unit_resolution,[status(thm)],[8179, 318, 8148])).
% 48.65/31.70 tff(8181,plain,
% 48.65/31.70 (v100(constB56) | (~v110(constB56))),
% 48.65/31.70 inference(unit_resolution,[status(thm)],[8180, 8173])).
% 48.65/31.70 tff(8182,plain,
% 48.65/31.70 (v100(constB56)),
% 48.65/31.70 inference(unit_resolution,[status(thm)],[8181, 8156])).
% 48.65/31.70 tff(8183,plain,
% 48.65/31.70 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB55, bitIndex1)) | (~v124(constB55)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB55, bitIndex1)) | (~v124(constB55)))),
% 48.65/31.70 inference(rewrite,[status(thm)],[])).
% 48.65/31.70 tff(8184,plain,
% 48.65/31.70 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB55, bitIndex1)) | (~v124(constB55)))),
% 48.65/31.70 inference(quant_inst,[status(thm)],[])).
% 48.65/31.70 tff(8185,plain,
% 48.65/31.70 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB55, bitIndex1)) | (~v124(constB55))),
% 48.65/31.70 inference(modus_ponens,[status(thm)],[8184, 8183])).
% 48.65/31.70 tff(8186,plain,
% 48.65/31.70 (~v124(constB55)),
% 48.65/31.70 inference(unit_resolution,[status(thm)],[8185, 763, 8087])).
% 48.65/31.70 tff(8187,plain,
% 48.65/31.70 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB55, bitIndex1)) | (~v123(constB55)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB55, bitIndex1)) | (~v123(constB55)))),
% 48.65/31.71 inference(rewrite,[status(thm)],[])).
% 48.65/31.71 tff(8188,plain,
% 48.65/31.71 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB55, bitIndex1)) | (~v123(constB55)))),
% 48.65/31.71 inference(quant_inst,[status(thm)],[])).
% 48.65/31.71 tff(8189,plain,
% 48.65/31.71 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB55, bitIndex1)) | (~v123(constB55))),
% 48.65/31.71 inference(modus_ponens,[status(thm)],[8188, 8187])).
% 48.65/31.71 tff(8190,plain,
% 48.65/31.71 (~v123(constB55)),
% 48.65/31.71 inference(unit_resolution,[status(thm)],[8189, 774, 8087])).
% 48.65/31.71 tff(8191,plain,
% 48.65/31.71 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB55, bitIndex2)) | (~v122(constB55)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB55, bitIndex2)) | (~v122(constB55)))),
% 48.65/31.71 inference(rewrite,[status(thm)],[])).
% 48.65/31.71 tff(8192,plain,
% 48.65/31.71 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB55, bitIndex2)) | (~v122(constB55)))),
% 48.65/31.71 inference(quant_inst,[status(thm)],[])).
% 48.65/31.71 tff(8193,plain,
% 48.65/31.71 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB55, bitIndex2)) | (~v122(constB55))),
% 48.65/31.71 inference(modus_ponens,[status(thm)],[8192, 8191])).
% 48.65/31.71 tff(8194,plain,
% 48.65/31.71 (~v122(constB55)),
% 48.65/31.71 inference(unit_resolution,[status(thm)],[8193, 894, 8056])).
% 48.65/31.71 tff(8195,plain,
% 48.65/31.71 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB55, bitIndex1)) | (~v120(constB55)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB55, bitIndex1)) | (~v120(constB55)))),
% 48.65/31.71 inference(rewrite,[status(thm)],[])).
% 48.65/31.71 tff(8196,plain,
% 48.65/31.71 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB55, bitIndex1)) | (~v120(constB55)))),
% 48.65/31.71 inference(quant_inst,[status(thm)],[])).
% 48.65/31.71 tff(8197,plain,
% 48.65/31.71 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB55, bitIndex1)) | (~v120(constB55))),
% 48.65/31.71 inference(modus_ponens,[status(thm)],[8196, 8195])).
% 48.65/31.71 tff(8198,plain,
% 48.65/31.71 (~v120(constB55)),
% 48.65/31.71 inference(unit_resolution,[status(thm)],[8197, 2312, 8087])).
% 48.65/31.71 tff(8199,plain,
% 48.65/31.71 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB55, bitIndex2)) | (~v121(constB55)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB55, bitIndex2)) | (~v121(constB55)))),
% 48.65/31.71 inference(rewrite,[status(thm)],[])).
% 48.65/31.71 tff(8200,plain,
% 48.65/31.71 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB55, bitIndex2)) | (~v121(constB55)))),
% 48.65/31.71 inference(quant_inst,[status(thm)],[])).
% 48.65/31.71 tff(8201,plain,
% 48.65/31.71 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB55, bitIndex2)) | (~v121(constB55))),
% 48.65/31.71 inference(modus_ponens,[status(thm)],[8200, 8199])).
% 48.65/31.71 tff(8202,plain,
% 48.65/31.71 (~v121(constB55)),
% 48.65/31.71 inference(unit_resolution,[status(thm)],[8201, 883, 8056])).
% 48.65/31.71 tff(8203,plain,
% 48.65/31.71 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB55)) | (~v90(constB55, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB55)) | (~v90(constB55, bitIndex1)))),
% 48.65/31.71 inference(rewrite,[status(thm)],[])).
% 48.65/31.71 tff(8204,plain,
% 48.65/31.71 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB55)) | (~v90(constB55, bitIndex1)))),
% 48.65/31.71 inference(quant_inst,[status(thm)],[])).
% 48.65/31.71 tff(8205,plain,
% 48.65/31.71 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB55)) | (~v90(constB55, bitIndex1))),
% 48.65/31.71 inference(modus_ponens,[status(thm)],[8204, 8203])).
% 48.65/31.71 tff(8206,plain,
% 48.65/31.71 (~v119(constB55)),
% 48.65/31.71 inference(unit_resolution,[status(thm)],[8205, 2293, 8087])).
% 48.65/31.71 tff(8207,plain,
% 48.65/31.71 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB55) | v123(constB55) | v122(constB55) | v121(constB55) | v120(constB55) | v119(constB55) | (~v130(constB55, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB55) | v123(constB55) | v122(constB55) | v121(constB55) | v120(constB55) | v119(constB55) | (~v130(constB55, bitIndex2)))),
% 48.65/31.71 inference(rewrite,[status(thm)],[])).
% 48.65/31.71 tff(8208,plain,
% 48.65/31.71 ((v120(constB55) | v119(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | (~v130(constB55, bitIndex2))) <=> (v124(constB55) | v123(constB55) | v122(constB55) | v121(constB55) | v120(constB55) | v119(constB55) | (~v130(constB55, bitIndex2)))),
% 48.65/31.71 inference(rewrite,[status(thm)],[])).
% 48.65/31.71 tff(8209,plain,
% 48.65/31.71 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB55) | v119(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | (~v130(constB55, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB55) | v123(constB55) | v122(constB55) | v121(constB55) | v120(constB55) | v119(constB55) | (~v130(constB55, bitIndex2))))),
% 48.65/31.71 inference(monotonicity,[status(thm)],[8208])).
% 48.65/31.71 tff(8210,plain,
% 48.65/31.71 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB55) | v119(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | (~v130(constB55, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB55) | v123(constB55) | v122(constB55) | v121(constB55) | v120(constB55) | v119(constB55) | (~v130(constB55, bitIndex2)))),
% 48.65/31.71 inference(transitivity,[status(thm)],[8209, 8207])).
% 48.65/31.71 tff(8211,plain,
% 48.65/31.71 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB55) | v119(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | (~v130(constB55, bitIndex2)))),
% 48.65/31.71 inference(quant_inst,[status(thm)],[])).
% 48.65/31.71 tff(8212,plain,
% 48.65/31.71 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB55) | v123(constB55) | v122(constB55) | v121(constB55) | v120(constB55) | v119(constB55) | (~v130(constB55, bitIndex2))),
% 48.65/31.71 inference(modus_ponens,[status(thm)],[8211, 8210])).
% 48.65/31.71 tff(8213,plain,
% 48.65/31.71 (~v130(constB55, bitIndex2)),
% 48.65/31.71 inference(unit_resolution,[status(thm)],[8212, 1192, 8206, 8202, 8198, 8194, 8190, 8186])).
% 48.65/31.71 tff(8214,plain,
% 48.65/31.71 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB55, bitIndex2)) | v26(constB55) | v130(constB55, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB55, bitIndex2)) | v26(constB55) | v130(constB55, bitIndex2))),
% 48.65/31.71 inference(rewrite,[status(thm)],[])).
% 48.65/31.71 tff(8215,plain,
% 48.65/31.71 ((v26(constB55) | v130(constB55, bitIndex2) | (~v127(constB55, bitIndex2))) <=> ((~v127(constB55, bitIndex2)) | v26(constB55) | v130(constB55, bitIndex2))),
% 48.65/31.71 inference(rewrite,[status(thm)],[])).
% 48.65/31.71 tff(8216,plain,
% 48.65/31.71 (((~![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)))) | ((~v127(constB55, bitIndex2)) | v26(constB55) | v130(constB55, bitIndex2)))),
% 48.65/31.71 inference(monotonicity,[status(thm)],[8215])).
% 48.65/31.71 tff(8217,plain,
% 48.65/31.71 (((~![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)))) | (~v127(constB55, bitIndex2)) | v26(constB55) | v130(constB55, bitIndex2))),
% 48.65/31.71 inference(transitivity,[status(thm)],[8216, 8214])).
% 48.65/31.71 tff(8218,plain,
% 48.65/31.71 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB55) | v130(constB55, bitIndex2) | (~v127(constB55, bitIndex2)))),
% 48.65/31.71 inference(quant_inst,[status(thm)],[])).
% 48.65/31.71 tff(8219,plain,
% 48.65/31.71 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB55, bitIndex2)) | v26(constB55) | v130(constB55, bitIndex2)),
% 48.65/31.71 inference(modus_ponens,[status(thm)],[8218, 8217])).
% 48.65/31.71 tff(8220,plain,
% 48.65/31.71 ((~v127(constB55, bitIndex2)) | v130(constB55, bitIndex2)),
% 48.65/31.71 inference(unit_resolution,[status(thm)],[8219, 1210, 8133])).
% 48.65/31.71 tff(8221,plain,
% 48.65/31.71 (~v127(constB55, bitIndex2)),
% 48.65/31.71 inference(unit_resolution,[status(thm)],[8220, 8213])).
% 48.65/31.71 tff(8222,plain,
% 48.65/31.71 (((~![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)))),
% 48.65/31.71 inference(rewrite,[status(thm)],[])).
% 48.65/31.71 tff(8223,plain,
% 48.65/31.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB55, constB56)) | v127(constB55, bitIndex2) | (~v129(constB56, bitIndex2)))),
% 48.65/31.71 inference(quant_inst,[status(thm)],[])).
% 48.65/31.71 tff(8224,plain,
% 48.65/31.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB55, constB56)) | v127(constB55, bitIndex2) | (~v129(constB56, bitIndex2))),
% 48.65/31.71 inference(modus_ponens,[status(thm)],[8223, 8222])).
% 48.65/31.71 tff(8225,plain,
% 48.65/31.71 (v127(constB55, bitIndex2) | (~v129(constB56, bitIndex2))),
% 48.65/31.71 inference(unit_resolution,[status(thm)],[8224, 1243, 8148])).
% 48.65/31.71 tff(8226,plain,
% 48.65/31.71 (~v129(constB56, bitIndex2)),
% 48.65/31.71 inference(unit_resolution,[status(thm)],[8225, 8221])).
% 48.65/31.71 tff(8227,plain,
% 48.65/31.71 (((~![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)))),
% 48.65/31.71 inference(rewrite,[status(thm)],[])).
% 48.65/31.71 tff(8228,plain,
% 48.65/31.71 (((~v90(constB56, bitIndex2)) | (~v100(constB56)) | v129(constB56, bitIndex2)) <=> ((~v90(constB56, bitIndex2)) | v129(constB56, bitIndex2) | (~v100(constB56)))),
% 48.65/31.71 inference(rewrite,[status(thm)],[])).
% 48.65/31.71 tff(8229,plain,
% 48.65/31.71 (((~![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))))),
% 48.65/31.71 inference(monotonicity,[status(thm)],[8228])).
% 48.65/31.71 tff(8230,plain,
% 48.65/31.71 (((~![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)))),
% 48.65/31.71 inference(transitivity,[status(thm)],[8229, 8227])).
% 48.65/31.71 tff(8231,plain,
% 48.65/31.71 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB56, bitIndex2)) | (~v100(constB56)) | v129(constB56, bitIndex2))),
% 48.65/31.71 inference(quant_inst,[status(thm)],[])).
% 48.65/31.71 tff(8232,plain,
% 48.65/31.71 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB56, bitIndex2)) | v129(constB56, bitIndex2) | (~v100(constB56))),
% 48.65/31.71 inference(modus_ponens,[status(thm)],[8231, 8230])).
% 48.65/31.71 tff(8233,plain,
% 48.65/31.71 ((~v90(constB56, bitIndex2)) | (~v100(constB56))),
% 48.65/31.71 inference(unit_resolution,[status(thm)],[8232, 1258, 8226])).
% 48.65/31.71 tff(8234,plain,
% 48.65/31.71 (~v90(constB56, bitIndex2)),
% 48.65/31.71 inference(unit_resolution,[status(thm)],[8233, 8182])).
% 48.65/31.71 tff(8235,plain,
% 48.65/31.71 ((~v1(constB57)) <=> (~v1(constB57))),
% 48.65/31.71 inference(rewrite,[status(thm)],[])).
% 48.65/31.71 tff(8236,axiom,(~v1(constB57)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_57_1_1')).
% 48.65/31.71 tff(8237,plain,
% 48.65/31.71 (~v1(constB57)),
% 48.65/31.71 inference(modus_ponens,[status(thm)],[8236, 8235])).
% 48.65/31.71 tff(8238,plain,
% 48.65/31.71 (nextState(constB56, constB57) <=> nextState(constB56, constB57)),
% 48.65/31.71 inference(rewrite,[status(thm)],[])).
% 48.65/31.71 tff(8239,axiom,(nextState(constB56, constB57)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_56_1')).
% 48.65/31.71 tff(8240,plain,
% 48.65/31.71 (nextState(constB56, constB57)),
% 48.65/31.71 inference(modus_ponens,[status(thm)],[8239, 8238])).
% 48.65/31.71 tff(8241,plain,
% 48.65/31.71 (((~![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)))),
% 48.65/31.71 inference(rewrite,[status(thm)],[])).
% 48.65/31.71 tff(8242,plain,
% 48.65/31.71 (((~nextState(constB56, constB57)) | (~v101(constB57)) | v1(constB57)) <=> (v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57)))),
% 48.65/31.71 inference(rewrite,[status(thm)],[])).
% 48.65/31.71 tff(8243,plain,
% 48.65/31.71 (((~![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))))),
% 48.65/31.71 inference(monotonicity,[status(thm)],[8242])).
% 48.65/31.71 tff(8244,plain,
% 48.65/31.71 (((~![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)))),
% 48.65/31.71 inference(transitivity,[status(thm)],[8243, 8241])).
% 48.65/31.71 tff(8245,plain,
% 48.65/31.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB56, constB57)) | (~v101(constB57)) | v1(constB57))),
% 48.65/31.71 inference(quant_inst,[status(thm)],[])).
% 48.65/31.71 tff(8246,plain,
% 48.65/31.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57))),
% 48.65/31.71 inference(modus_ponens,[status(thm)],[8245, 8244])).
% 48.65/31.71 tff(8247,plain,
% 48.65/31.71 (~v101(constB57)),
% 48.65/31.71 inference(unit_resolution,[status(thm)],[8246, 49, 8240, 8237])).
% 48.65/31.71 tff(8248,plain,
% 48.65/31.71 (((~![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)))),
% 48.65/31.71 inference(rewrite,[status(thm)],[])).
% 48.65/31.71 tff(8249,plain,
% 48.65/31.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB56, constB57)) | v101(constB57) | (~v100(constB57)))),
% 48.65/31.71 inference(quant_inst,[status(thm)],[])).
% 48.65/31.71 tff(8250,plain,
% 48.65/31.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB56, constB57)) | v101(constB57) | (~v100(constB57))),
% 48.65/31.71 inference(modus_ponens,[status(thm)],[8249, 8248])).
% 48.65/31.71 tff(8251,plain,
% 48.65/31.71 (v101(constB57) | (~v100(constB57))),
% 48.65/31.71 inference(unit_resolution,[status(thm)],[8250, 66, 8240])).
% 48.65/31.71 tff(8252,plain,
% 48.65/31.71 (~v100(constB57)),
% 48.65/31.71 inference(unit_resolution,[status(thm)],[8251, 8247])).
% 48.65/31.71 tff(8253,plain,
% 48.65/31.71 (((~![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)))),
% 48.65/31.71 inference(rewrite,[status(thm)],[])).
% 48.65/31.71 tff(8254,plain,
% 48.65/31.71 (((~nextState(constB56, constB57)) | v90(constB56, bitIndex2) | v100(constB57) | (~v90(constB57, bitIndex2))) <=> (v90(constB56, bitIndex2) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex2)))),
% 48.65/31.71 inference(rewrite,[status(thm)],[])).
% 48.65/31.71 tff(8255,plain,
% 48.65/31.71 (((~![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))))),
% 48.65/31.71 inference(monotonicity,[status(thm)],[8254])).
% 48.65/31.71 tff(8256,plain,
% 48.65/31.71 (((~![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)))),
% 48.65/31.71 inference(transitivity,[status(thm)],[8255, 8253])).
% 48.65/31.71 tff(8257,plain,
% 48.65/31.71 ((~![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)))),
% 48.65/31.71 inference(quant_inst,[status(thm)],[])).
% 48.65/31.71 tff(8258,plain,
% 48.65/31.71 ((~![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))),
% 48.65/31.71 inference(modus_ponens,[status(thm)],[8257, 8256])).
% 48.65/31.71 tff(8259,plain,
% 48.65/31.71 (v90(constB56, bitIndex2) | v100(constB57) | (~v90(constB57, bitIndex2))),
% 48.65/31.71 inference(unit_resolution,[status(thm)],[8258, 81, 8240])).
% 48.65/31.71 tff(8260,plain,
% 48.65/31.71 (v90(constB56, bitIndex2) | (~v90(constB57, bitIndex2))),
% 48.65/31.71 inference(unit_resolution,[status(thm)],[8259, 8252])).
% 48.65/31.71 tff(8261,plain,
% 48.65/31.71 (~v90(constB57, bitIndex2)),
% 48.65/31.71 inference(unit_resolution,[status(thm)],[8260, 8234])).
% 48.65/31.71 tff(8262,plain,
% 48.65/31.71 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB55) | v123(constB55) | v122(constB55) | v121(constB55) | v120(constB55) | v119(constB55) | (~v130(constB55, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB55) | v123(constB55) | v122(constB55) | v121(constB55) | v120(constB55) | v119(constB55) | (~v130(constB55, bitIndex1)))),
% 48.65/31.71 inference(rewrite,[status(thm)],[])).
% 48.65/31.71 tff(8263,plain,
% 48.65/31.71 ((v120(constB55) | v119(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | (~v130(constB55, bitIndex1))) <=> (v124(constB55) | v123(constB55) | v122(constB55) | v121(constB55) | v120(constB55) | v119(constB55) | (~v130(constB55, bitIndex1)))),
% 48.65/31.71 inference(rewrite,[status(thm)],[])).
% 48.65/31.71 tff(8264,plain,
% 48.65/31.71 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB55) | v119(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | (~v130(constB55, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB55) | v123(constB55) | v122(constB55) | v121(constB55) | v120(constB55) | v119(constB55) | (~v130(constB55, bitIndex1))))),
% 48.65/31.71 inference(monotonicity,[status(thm)],[8263])).
% 48.65/31.71 tff(8265,plain,
% 48.65/31.71 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB55) | v119(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | (~v130(constB55, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB55) | v123(constB55) | v122(constB55) | v121(constB55) | v120(constB55) | v119(constB55) | (~v130(constB55, bitIndex1)))),
% 48.65/31.71 inference(transitivity,[status(thm)],[8264, 8262])).
% 48.65/31.71 tff(8266,plain,
% 48.65/31.71 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB55) | v119(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | (~v130(constB55, bitIndex1)))),
% 48.65/31.71 inference(quant_inst,[status(thm)],[])).
% 48.65/31.71 tff(8267,plain,
% 48.65/31.71 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB55) | v123(constB55) | v122(constB55) | v121(constB55) | v120(constB55) | v119(constB55) | (~v130(constB55, bitIndex1))),
% 48.65/31.71 inference(modus_ponens,[status(thm)],[8266, 8265])).
% 48.65/31.71 tff(8268,plain,
% 48.65/31.71 (~v130(constB55, bitIndex1)),
% 48.65/31.71 inference(unit_resolution,[status(thm)],[8267, 1143, 8206, 8202, 8198, 8194, 8190, 8186])).
% 48.65/31.71 tff(8269,plain,
% 48.65/31.71 (((~![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))),
% 48.65/31.71 inference(rewrite,[status(thm)],[])).
% 48.65/31.71 tff(8270,plain,
% 48.65/31.71 ((v26(constB55) | v130(constB55, bitIndex1) | (~v127(constB55, bitIndex1))) <=> ((~v127(constB55, bitIndex1)) | v26(constB55) | v130(constB55, bitIndex1))),
% 48.65/31.71 inference(rewrite,[status(thm)],[])).
% 48.65/31.71 tff(8271,plain,
% 48.65/31.71 (((~![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)))),
% 48.65/31.71 inference(monotonicity,[status(thm)],[8270])).
% 48.65/31.71 tff(8272,plain,
% 48.65/31.71 (((~![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))),
% 48.65/31.71 inference(transitivity,[status(thm)],[8271, 8269])).
% 48.65/31.71 tff(8273,plain,
% 48.65/31.71 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB55) | v130(constB55, bitIndex1) | (~v127(constB55, bitIndex1)))),
% 48.65/31.71 inference(quant_inst,[status(thm)],[])).
% 48.65/31.71 tff(8274,plain,
% 48.65/31.71 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB55, bitIndex1)) | v26(constB55) | v130(constB55, bitIndex1)),
% 48.65/31.71 inference(modus_ponens,[status(thm)],[8273, 8272])).
% 48.65/31.71 tff(8275,plain,
% 48.65/31.71 ((~v127(constB55, bitIndex1)) | v130(constB55, bitIndex1)),
% 48.65/31.71 inference(unit_resolution,[status(thm)],[8274, 450, 8133])).
% 48.65/31.71 tff(8276,plain,
% 48.65/31.71 (~v127(constB55, bitIndex1)),
% 48.65/31.71 inference(unit_resolution,[status(thm)],[8275, 8268])).
% 48.65/31.71 tff(8277,plain,
% 48.65/31.71 (((~![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)))),
% 48.65/31.71 inference(rewrite,[status(thm)],[])).
% 48.65/31.71 tff(8278,plain,
% 48.65/31.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB55, constB56)) | v127(constB55, bitIndex1) | (~v129(constB56, bitIndex1)))),
% 48.65/31.71 inference(quant_inst,[status(thm)],[])).
% 48.65/31.71 tff(8279,plain,
% 48.65/31.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB55, constB56)) | v127(constB55, bitIndex1) | (~v129(constB56, bitIndex1))),
% 48.65/31.71 inference(modus_ponens,[status(thm)],[8278, 8277])).
% 48.65/31.71 tff(8280,plain,
% 48.65/31.71 (v127(constB55, bitIndex1) | (~v129(constB56, bitIndex1))),
% 48.65/31.71 inference(unit_resolution,[status(thm)],[8279, 468, 8148])).
% 48.65/31.71 tff(8281,plain,
% 48.65/31.71 (~v129(constB56, bitIndex1)),
% 48.65/31.71 inference(unit_resolution,[status(thm)],[8280, 8276])).
% 48.65/31.71 tff(8282,plain,
% 48.65/31.71 (((~![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)))),
% 48.65/31.71 inference(rewrite,[status(thm)],[])).
% 48.65/31.71 tff(8283,plain,
% 48.65/31.71 (((~v90(constB56, bitIndex1)) | (~v100(constB56)) | v129(constB56, bitIndex1)) <=> ((~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1) | (~v100(constB56)))),
% 48.65/31.71 inference(rewrite,[status(thm)],[])).
% 48.65/31.71 tff(8284,plain,
% 48.65/31.71 (((~![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))))),
% 48.65/31.71 inference(monotonicity,[status(thm)],[8283])).
% 48.65/31.71 tff(8285,plain,
% 48.65/31.71 (((~![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)))),
% 48.65/31.71 inference(transitivity,[status(thm)],[8284, 8282])).
% 48.65/31.71 tff(8286,plain,
% 48.65/31.71 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB56, bitIndex1)) | (~v100(constB56)) | v129(constB56, bitIndex1))),
% 48.65/31.71 inference(quant_inst,[status(thm)],[])).
% 48.65/31.71 tff(8287,plain,
% 48.65/31.71 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB56, bitIndex1)) | v129(constB56, bitIndex1) | (~v100(constB56))),
% 48.65/31.71 inference(modus_ponens,[status(thm)],[8286, 8285])).
% 48.65/31.71 tff(8288,plain,
% 48.65/31.71 ((~v90(constB56, bitIndex1)) | (~v100(constB56))),
% 48.65/31.71 inference(unit_resolution,[status(thm)],[8287, 483, 8281])).
% 48.65/31.71 tff(8289,plain,
% 48.65/31.71 (~v90(constB56, bitIndex1)),
% 48.65/31.71 inference(unit_resolution,[status(thm)],[8288, 8182])).
% 48.65/31.71 tff(8290,plain,
% 48.65/31.71 (((~![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)))),
% 48.65/31.71 inference(rewrite,[status(thm)],[])).
% 48.65/31.71 tff(8291,plain,
% 48.65/31.71 (((~nextState(constB56, constB57)) | v90(constB56, bitIndex1) | v100(constB57) | (~v90(constB57, bitIndex1))) <=> (v90(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, bitIndex1)))),
% 48.65/31.71 inference(rewrite,[status(thm)],[])).
% 48.65/31.71 tff(8292,plain,
% 48.65/31.71 (((~![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))))),
% 48.65/31.71 inference(monotonicity,[status(thm)],[8291])).
% 48.65/31.71 tff(8293,plain,
% 48.65/31.71 (((~![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)))),
% 48.65/31.71 inference(transitivity,[status(thm)],[8292, 8290])).
% 48.65/31.71 tff(8294,plain,
% 48.65/31.71 ((~![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)))),
% 48.65/31.71 inference(quant_inst,[status(thm)],[])).
% 48.65/31.71 tff(8295,plain,
% 48.65/31.71 ((~![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))),
% 48.65/31.71 inference(modus_ponens,[status(thm)],[8294, 8293])).
% 48.65/31.71 tff(8296,plain,
% 48.65/31.71 (v90(constB56, bitIndex1) | v100(constB57) | (~v90(constB57, bitIndex1))),
% 48.65/31.71 inference(unit_resolution,[status(thm)],[8295, 102, 8240])).
% 48.65/31.71 tff(8297,plain,
% 48.65/31.71 (v90(constB56, bitIndex1) | (~v90(constB57, bitIndex1))),
% 48.65/31.71 inference(unit_resolution,[status(thm)],[8296, 8252])).
% 48.65/31.71 tff(8298,plain,
% 48.65/31.71 (~v90(constB57, bitIndex1)),
% 48.65/31.71 inference(unit_resolution,[status(thm)],[8297, 8289])).
% 48.65/31.71 tff(8299,plain,
% 48.65/31.71 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB55) | v123(constB55) | v122(constB55) | v121(constB55) | v120(constB55) | v119(constB55) | v130(constB55, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB55) | v123(constB55) | v122(constB55) | v121(constB55) | v120(constB55) | v119(constB55) | v130(constB55, bitIndex0))),
% 48.65/31.71 inference(rewrite,[status(thm)],[])).
% 48.65/31.71 tff(8300,plain,
% 48.65/31.71 ((v120(constB55) | v119(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | v130(constB55, bitIndex0)) <=> (v124(constB55) | v123(constB55) | v122(constB55) | v121(constB55) | v120(constB55) | v119(constB55) | v130(constB55, bitIndex0))),
% 48.65/31.71 inference(rewrite,[status(thm)],[])).
% 48.65/31.72 tff(8301,plain,
% 48.65/31.72 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB55) | v119(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | v130(constB55, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB55) | v123(constB55) | v122(constB55) | v121(constB55) | v120(constB55) | v119(constB55) | v130(constB55, bitIndex0)))),
% 48.65/31.72 inference(monotonicity,[status(thm)],[8300])).
% 48.65/31.72 tff(8302,plain,
% 48.65/31.72 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB55) | v119(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | v130(constB55, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB55) | v123(constB55) | v122(constB55) | v121(constB55) | v120(constB55) | v119(constB55) | v130(constB55, bitIndex0))),
% 48.65/31.72 inference(transitivity,[status(thm)],[8301, 8299])).
% 48.65/31.72 tff(8303,plain,
% 48.65/31.72 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB55) | v119(constB55) | v121(constB55) | v122(constB55) | v123(constB55) | v124(constB55) | v130(constB55, bitIndex0))),
% 48.65/31.72 inference(quant_inst,[status(thm)],[])).
% 48.65/31.72 tff(8304,plain,
% 48.65/31.72 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB55) | v123(constB55) | v122(constB55) | v121(constB55) | v120(constB55) | v119(constB55) | v130(constB55, bitIndex0)),
% 48.65/31.72 inference(modus_ponens,[status(thm)],[8303, 8302])).
% 48.65/31.72 tff(8305,plain,
% 48.65/31.72 (v130(constB55, bitIndex0)),
% 48.65/31.72 inference(unit_resolution,[status(thm)],[8304, 908, 8206, 8202, 8198, 8194, 8190, 8186])).
% 48.65/31.72 tff(8306,plain,
% 48.65/31.72 (((~![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))) | v26(constB55) | (~v130(constB55, bitIndex0)) | v127(constB55, bitIndex0))),
% 48.65/31.72 inference(rewrite,[status(thm)],[])).
% 48.65/31.72 tff(8307,plain,
% 48.65/31.72 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB55) | (~v130(constB55, bitIndex0)) | v127(constB55, bitIndex0))),
% 48.65/31.72 inference(quant_inst,[status(thm)],[])).
% 48.65/31.72 tff(8308,plain,
% 48.65/31.72 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB55) | (~v130(constB55, bitIndex0)) | v127(constB55, bitIndex0)),
% 48.65/31.72 inference(modus_ponens,[status(thm)],[8307, 8306])).
% 48.65/31.72 tff(8309,plain,
% 48.65/31.72 ((~v130(constB55, bitIndex0)) | v127(constB55, bitIndex0)),
% 48.65/31.72 inference(unit_resolution,[status(thm)],[8308, 926, 8133])).
% 48.65/31.72 tff(8310,plain,
% 48.65/31.72 (v127(constB55, bitIndex0)),
% 48.65/31.72 inference(unit_resolution,[status(thm)],[8309, 8305])).
% 48.65/31.72 tff(8311,plain,
% 48.65/31.72 (((~![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))),
% 48.65/31.72 inference(rewrite,[status(thm)],[])).
% 48.65/31.72 tff(8312,plain,
% 48.65/31.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB55, constB56)) | (~v127(constB55, bitIndex0)) | v129(constB56, bitIndex0))),
% 48.65/31.72 inference(quant_inst,[status(thm)],[])).
% 48.65/31.72 tff(8313,plain,
% 48.65/31.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB55, constB56)) | (~v127(constB55, bitIndex0)) | v129(constB56, bitIndex0)),
% 48.65/31.72 inference(modus_ponens,[status(thm)],[8312, 8311])).
% 48.65/31.72 tff(8314,plain,
% 48.65/31.72 ((~v127(constB55, bitIndex0)) | v129(constB56, bitIndex0)),
% 48.65/31.72 inference(unit_resolution,[status(thm)],[8313, 944, 8148])).
% 48.65/31.72 tff(8315,plain,
% 48.65/31.72 (v129(constB56, bitIndex0)),
% 48.65/31.72 inference(unit_resolution,[status(thm)],[8314, 8310])).
% 48.65/31.72 tff(8316,plain,
% 48.65/31.72 (((~![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)))),
% 48.65/31.72 inference(rewrite,[status(thm)],[])).
% 48.65/31.72 tff(8317,plain,
% 48.65/31.72 ((v90(constB56, bitIndex0) | (~v100(constB56)) | (~v129(constB56, bitIndex0))) <=> (v90(constB56, bitIndex0) | (~v129(constB56, bitIndex0)) | (~v100(constB56)))),
% 48.65/31.72 inference(rewrite,[status(thm)],[])).
% 48.65/31.72 tff(8318,plain,
% 48.65/31.72 (((~![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))))),
% 48.65/31.72 inference(monotonicity,[status(thm)],[8317])).
% 48.65/31.72 tff(8319,plain,
% 48.65/31.72 (((~![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)))),
% 48.65/31.72 inference(transitivity,[status(thm)],[8318, 8316])).
% 48.65/31.72 tff(8320,plain,
% 48.65/31.72 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB56, bitIndex0) | (~v100(constB56)) | (~v129(constB56, bitIndex0)))),
% 48.65/31.72 inference(quant_inst,[status(thm)],[])).
% 48.65/31.72 tff(8321,plain,
% 48.65/31.72 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB56, bitIndex0) | (~v129(constB56, bitIndex0)) | (~v100(constB56))),
% 48.65/31.72 inference(modus_ponens,[status(thm)],[8320, 8319])).
% 48.65/31.72 tff(8322,plain,
% 48.65/31.72 (v90(constB56, bitIndex0) | (~v100(constB56))),
% 48.65/31.72 inference(unit_resolution,[status(thm)],[8321, 1088, 8315])).
% 48.65/31.72 tff(8323,plain,
% 48.65/31.72 (v90(constB56, bitIndex0)),
% 48.65/31.72 inference(unit_resolution,[status(thm)],[8322, 8182])).
% 48.65/31.72 tff(8324,plain,
% 48.65/31.72 (((~![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))),
% 48.65/31.72 inference(rewrite,[status(thm)],[])).
% 48.65/31.72 tff(8325,plain,
% 48.65/31.72 (((~nextState(constB56, constB57)) | (~v90(constB56, bitIndex0)) | v100(constB57) | v90(constB57, bitIndex0)) <=> ((~v90(constB56, bitIndex0)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, bitIndex0))),
% 48.65/31.72 inference(rewrite,[status(thm)],[])).
% 48.65/31.72 tff(8326,plain,
% 48.65/31.72 (((~![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)))),
% 48.65/31.72 inference(monotonicity,[status(thm)],[8325])).
% 48.65/31.72 tff(8327,plain,
% 48.65/31.72 (((~![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))),
% 48.65/31.72 inference(transitivity,[status(thm)],[8326, 8324])).
% 48.65/31.72 tff(8328,plain,
% 48.65/31.72 ((~![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))),
% 48.65/31.72 inference(quant_inst,[status(thm)],[])).
% 48.65/31.72 tff(8329,plain,
% 48.65/31.72 ((~![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)),
% 48.65/31.72 inference(modus_ponens,[status(thm)],[8328, 8327])).
% 48.65/31.72 tff(8330,plain,
% 48.65/31.72 ((~v90(constB56, bitIndex0)) | v100(constB57) | v90(constB57, bitIndex0)),
% 48.65/31.72 inference(unit_resolution,[status(thm)],[8329, 1124, 8240])).
% 48.65/31.72 tff(8331,plain,
% 48.65/31.72 ((~v90(constB56, bitIndex0)) | v90(constB57, bitIndex0)),
% 48.65/31.72 inference(unit_resolution,[status(thm)],[8330, 8252])).
% 48.65/31.72 tff(8332,plain,
% 48.65/31.72 (v90(constB57, bitIndex0)),
% 48.65/31.72 inference(unit_resolution,[status(thm)],[8331, 8323])).
% 48.65/31.72 tff(8333,plain,
% 48.65/31.72 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB57, bitIndex0)) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2) | v120(constB57))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB57, bitIndex0)) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2) | v120(constB57))),
% 48.65/31.72 inference(rewrite,[status(thm)],[])).
% 48.65/31.72 tff(8334,plain,
% 48.65/31.72 (((~v90(constB57, bitIndex0)) | v120(constB57) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2)) <=> ((~v90(constB57, bitIndex0)) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2) | v120(constB57))),
% 48.65/31.72 inference(rewrite,[status(thm)],[])).
% 48.65/31.72 tff(8335,plain,
% 48.65/31.72 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB57, bitIndex0)) | v120(constB57) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB57, bitIndex0)) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2) | v120(constB57)))),
% 48.65/31.72 inference(monotonicity,[status(thm)],[8334])).
% 48.65/31.72 tff(8336,plain,
% 48.65/31.72 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB57, bitIndex0)) | v120(constB57) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB57, bitIndex0)) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2) | v120(constB57))),
% 48.65/31.72 inference(transitivity,[status(thm)],[8335, 8333])).
% 48.65/31.72 tff(8337,plain,
% 48.65/31.72 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB57, bitIndex0)) | v120(constB57) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2))),
% 48.65/31.72 inference(quant_inst,[status(thm)],[])).
% 48.65/31.72 tff(8338,plain,
% 48.65/31.72 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB57, bitIndex0)) | v90(constB57, bitIndex1) | v90(constB57, bitIndex2) | v120(constB57)),
% 48.65/31.72 inference(modus_ponens,[status(thm)],[8337, 8336])).
% 48.65/31.72 tff(8339,plain,
% 48.65/31.72 (v120(constB57)),
% 48.65/31.72 inference(unit_resolution,[status(thm)],[8338, 1285, 8332, 8298, 8261])).
% 48.65/31.72 tff(8340,plain,
% 48.65/31.72 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB57) | (~v120(constB57)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB57) | (~v120(constB57)))),
% 48.65/31.72 inference(rewrite,[status(thm)],[])).
% 48.65/31.72 tff(8341,plain,
% 48.65/31.72 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB57) | (~v120(constB57)))),
% 48.65/31.72 inference(quant_inst,[status(thm)],[])).
% 48.65/31.72 tff(8342,plain,
% 48.65/31.72 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB57) | (~v120(constB57))),
% 48.65/31.72 inference(modus_ponens,[status(thm)],[8341, 8340])).
% 48.65/31.72 tff(8343,plain,
% 48.65/31.72 (v118(constB57)),
% 48.65/31.72 inference(unit_resolution,[status(thm)],[8342, 1302, 8339])).
% 48.65/31.72 tff(8344,plain,
% 48.65/31.72 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB57) | (~v118(constB57)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB57) | (~v118(constB57)))),
% 48.65/31.72 inference(rewrite,[status(thm)],[])).
% 48.65/31.72 tff(8345,plain,
% 48.65/31.72 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB57) | (~v118(constB57)))),
% 48.65/31.72 inference(quant_inst,[status(thm)],[])).
% 48.65/31.72 tff(8346,plain,
% 48.65/31.72 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB57) | (~v118(constB57))),
% 48.65/31.72 inference(modus_ponens,[status(thm)],[8345, 8344])).
% 48.65/31.72 tff(8347,plain,
% 48.65/31.72 (v117(constB57)),
% 48.65/31.72 inference(unit_resolution,[status(thm)],[8346, 166, 8343])).
% 48.65/31.72 tff(8348,plain,
% 48.65/31.72 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB57) | (~v117(constB57)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB57) | (~v117(constB57)))),
% 48.65/31.72 inference(rewrite,[status(thm)],[])).
% 48.65/31.72 tff(8349,plain,
% 48.65/31.72 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB57) | (~v117(constB57)))),
% 48.65/31.72 inference(quant_inst,[status(thm)],[])).
% 48.65/31.72 tff(8350,plain,
% 48.65/31.72 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB57) | (~v117(constB57))),
% 48.65/31.72 inference(modus_ponens,[status(thm)],[8349, 8348])).
% 48.65/31.72 tff(8351,plain,
% 48.65/31.72 (v116(constB57)),
% 48.65/31.72 inference(unit_resolution,[status(thm)],[8350, 177, 8347])).
% 48.65/31.72 tff(8352,plain,
% 48.65/31.72 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB57) | (~v116(constB57)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB57) | (~v116(constB57)))),
% 48.65/31.72 inference(rewrite,[status(thm)],[])).
% 48.65/31.72 tff(8353,plain,
% 48.65/31.72 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB57) | (~v116(constB57)))),
% 48.65/31.72 inference(quant_inst,[status(thm)],[])).
% 48.65/31.72 tff(8354,plain,
% 48.65/31.72 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB57) | (~v116(constB57))),
% 48.65/31.72 inference(modus_ponens,[status(thm)],[8353, 8352])).
% 48.65/31.72 tff(8355,plain,
% 48.65/31.72 (v115(constB57)),
% 48.65/31.72 inference(unit_resolution,[status(thm)],[8354, 188, 8351])).
% 48.65/31.72 tff(8356,plain,
% 48.65/31.72 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB57) | (~v115(constB57)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB57) | (~v115(constB57)))),
% 48.65/31.72 inference(rewrite,[status(thm)],[])).
% 48.65/31.72 tff(8357,plain,
% 48.65/31.72 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB57) | (~v115(constB57)))),
% 48.65/31.72 inference(quant_inst,[status(thm)],[])).
% 48.65/31.72 tff(8358,plain,
% 48.65/31.72 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB57) | (~v115(constB57))),
% 48.65/31.72 inference(modus_ponens,[status(thm)],[8357, 8356])).
% 48.65/31.72 tff(8359,plain,
% 48.65/31.72 (v114(constB57)),
% 48.65/31.72 inference(unit_resolution,[status(thm)],[8358, 199, 8355])).
% 48.65/31.72 tff(8360,plain,
% 48.65/31.72 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB57) | (~v114(constB57)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB57) | (~v114(constB57)))),
% 48.65/31.72 inference(rewrite,[status(thm)],[])).
% 48.65/31.72 tff(8361,plain,
% 48.65/31.72 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB57) | (~v114(constB57)))),
% 48.65/31.72 inference(quant_inst,[status(thm)],[])).
% 48.65/31.72 tff(8362,plain,
% 48.65/31.72 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB57) | (~v114(constB57))),
% 48.65/31.72 inference(modus_ponens,[status(thm)],[8361, 8360])).
% 48.65/31.72 tff(8363,plain,
% 48.65/31.72 (v113(constB57)),
% 48.65/31.72 inference(unit_resolution,[status(thm)],[8362, 210, 8359])).
% 48.65/31.72 tff(8364,assumption,(v26(constB57)), introduced(assumption)).
% 48.65/31.72 tff(8365,plain,
% 48.65/31.72 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB57))),
% 48.65/31.72 inference(quant_inst,[status(thm)],[])).
% 48.65/31.72 tff(8366,plain,
% 48.65/31.72 ($false),
% 48.65/31.72 inference(unit_resolution,[status(thm)],[8365, 16, 8364])).
% 48.65/31.72 tff(8367,plain,(~v26(constB57)), inference(lemma,lemma(discharge,[]))).
% 48.65/31.72 tff(8368,plain,
% 48.65/31.72 (((~![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)))),
% 48.65/31.72 inference(rewrite,[status(thm)],[])).
% 48.65/31.72 tff(8369,plain,
% 48.65/31.72 ((v26(constB57) | (~v113(constB57)) | v112(constB57)) <=> (v26(constB57) | v112(constB57) | (~v113(constB57)))),
% 48.65/31.72 inference(rewrite,[status(thm)],[])).
% 48.65/31.72 tff(8370,plain,
% 48.65/31.72 (((~![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))))),
% 48.65/31.72 inference(monotonicity,[status(thm)],[8369])).
% 48.65/31.72 tff(8371,plain,
% 48.65/31.72 (((~![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)))),
% 48.65/31.72 inference(transitivity,[status(thm)],[8370, 8368])).
% 48.65/31.72 tff(8372,plain,
% 48.65/31.72 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB57) | (~v113(constB57)) | v112(constB57))),
% 48.65/31.72 inference(quant_inst,[status(thm)],[])).
% 48.65/31.72 tff(8373,plain,
% 48.65/31.72 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB57) | v112(constB57) | (~v113(constB57))),
% 48.65/31.72 inference(modus_ponens,[status(thm)],[8372, 8371])).
% 48.65/31.72 tff(8374,plain,
% 48.65/31.72 (v112(constB57) | (~v113(constB57))),
% 48.65/31.72 inference(unit_resolution,[status(thm)],[8373, 224, 8367])).
% 48.65/31.72 tff(8375,plain,
% 48.65/31.72 (v112(constB57)),
% 48.65/31.72 inference(unit_resolution,[status(thm)],[8374, 8363])).
% 48.65/31.72 tff(8376,plain,
% 48.65/31.72 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB57) | (~v112(constB57)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB57) | (~v112(constB57)))),
% 48.65/31.72 inference(rewrite,[status(thm)],[])).
% 48.65/31.72 tff(8377,plain,
% 48.65/31.72 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB57) | (~v112(constB57)))),
% 48.65/31.72 inference(quant_inst,[status(thm)],[])).
% 48.65/31.72 tff(8378,plain,
% 48.65/31.72 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB57) | (~v112(constB57))),
% 48.65/31.72 inference(modus_ponens,[status(thm)],[8377, 8376])).
% 48.65/31.72 tff(8379,plain,
% 48.65/31.72 (v108(constB57)),
% 48.65/31.72 inference(unit_resolution,[status(thm)],[8378, 236, 8375])).
% 48.65/31.72 tff(8380,plain,
% 48.65/31.72 (nextState(constB57, constB58) <=> nextState(constB57, constB58)),
% 48.65/31.72 inference(rewrite,[status(thm)],[])).
% 48.65/31.72 tff(8381,axiom,(nextState(constB57, constB58)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_57_1')).
% 48.65/31.72 tff(8382,plain,
% 48.65/31.72 (nextState(constB57, constB58)),
% 48.65/31.72 inference(modus_ponens,[status(thm)],[8381, 8380])).
% 48.65/31.72 tff(8383,plain,
% 48.65/31.72 (((~![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)))),
% 48.65/31.72 inference(rewrite,[status(thm)],[])).
% 48.65/31.72 tff(8384,plain,
% 48.65/31.72 (((~nextState(constB57, constB58)) | (~v108(constB57)) | v110(constB58)) <=> ((~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57)))),
% 48.65/31.72 inference(rewrite,[status(thm)],[])).
% 48.65/31.72 tff(8385,plain,
% 48.65/31.72 (((~![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))))),
% 48.65/31.72 inference(monotonicity,[status(thm)],[8384])).
% 48.65/31.72 tff(8386,plain,
% 48.65/31.72 (((~![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)))),
% 48.65/31.72 inference(transitivity,[status(thm)],[8385, 8383])).
% 48.65/31.72 tff(8387,plain,
% 48.65/31.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB57, constB58)) | (~v108(constB57)) | v110(constB58))),
% 48.65/31.72 inference(quant_inst,[status(thm)],[])).
% 48.65/31.72 tff(8388,plain,
% 48.65/31.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57))),
% 48.65/31.72 inference(modus_ponens,[status(thm)],[8387, 8386])).
% 48.65/31.72 tff(8389,plain,
% 48.65/31.72 (v110(constB58) | (~v108(constB57))),
% 48.65/31.72 inference(unit_resolution,[status(thm)],[8388, 253, 8382])).
% 48.65/31.72 tff(8390,plain,
% 48.65/31.72 (v110(constB58)),
% 48.65/31.72 inference(unit_resolution,[status(thm)],[8389, 8379])).
% 48.65/31.72 tff(8391,plain,
% 48.65/31.72 (((~![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)))),
% 48.65/31.72 inference(rewrite,[status(thm)],[])).
% 48.65/31.72 tff(8392,plain,
% 48.65/31.72 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB57) | (~nextState(constB57, constB58)) | (~v104(constB58)))),
% 48.65/31.72 inference(quant_inst,[status(thm)],[])).
% 48.65/31.72 tff(8393,plain,
% 48.65/31.72 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB57) | (~nextState(constB57, constB58)) | (~v104(constB58))),
% 48.65/31.72 inference(modus_ponens,[status(thm)],[8392, 8391])).
% 48.65/31.72 tff(8394,plain,
% 48.65/31.72 (~v104(constB58)),
% 48.65/31.72 inference(unit_resolution,[status(thm)],[8393, 271, 8382, 8237])).
% 48.65/31.72 tff(8395,plain,
% 48.65/31.72 (((~![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))),
% 48.65/31.72 inference(rewrite,[status(thm)],[])).
% 48.65/31.72 tff(8396,plain,
% 48.65/31.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB57, constB58)) | v102(constB58) | v104(constB58))),
% 48.65/31.72 inference(quant_inst,[status(thm)],[])).
% 48.65/31.72 tff(8397,plain,
% 48.65/31.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB57, constB58)) | v102(constB58) | v104(constB58)),
% 48.65/31.72 inference(modus_ponens,[status(thm)],[8396, 8395])).
% 48.65/31.72 tff(8398,plain,
% 48.65/31.72 (v102(constB58) | v104(constB58)),
% 48.65/31.72 inference(unit_resolution,[status(thm)],[8397, 285, 8382])).
% 48.65/31.72 tff(8399,plain,
% 48.65/31.72 (v102(constB58)),
% 48.65/31.72 inference(unit_resolution,[status(thm)],[8398, 8394])).
% 48.65/31.72 tff(8400,plain,
% 48.65/31.72 (v1(constB58) <=> v1(constB58)),
% 48.65/31.72 inference(rewrite,[status(thm)],[])).
% 48.65/31.72 tff(8401,axiom,(v1(constB58)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_58_1')).
% 48.65/31.72 tff(8402,plain,
% 48.65/31.72 (v1(constB58)),
% 48.65/31.72 inference(modus_ponens,[status(thm)],[8401, 8400])).
% 48.65/31.72 tff(8403,plain,
% 48.65/31.72 (((~![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)))),
% 48.65/31.72 inference(rewrite,[status(thm)],[])).
% 48.65/31.72 tff(8404,plain,
% 48.65/31.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB57, constB58)) | v101(constB58) | (~v102(constB58)) | (~v1(constB58)))),
% 48.65/31.72 inference(quant_inst,[status(thm)],[])).
% 48.65/31.72 tff(8405,plain,
% 48.65/31.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB57, constB58)) | v101(constB58) | (~v102(constB58)) | (~v1(constB58))),
% 48.65/31.72 inference(modus_ponens,[status(thm)],[8404, 8403])).
% 48.65/31.72 tff(8406,plain,
% 48.65/31.72 (v101(constB58) | (~v102(constB58))),
% 48.65/31.72 inference(unit_resolution,[status(thm)],[8405, 303, 8382, 8402])).
% 48.65/31.72 tff(8407,plain,
% 48.65/31.72 (v101(constB58)),
% 48.65/31.72 inference(unit_resolution,[status(thm)],[8406, 8399])).
% 48.65/31.72 tff(8408,plain,
% 48.65/31.72 (((~![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)))),
% 48.65/31.72 inference(rewrite,[status(thm)],[])).
% 48.65/31.72 tff(8409,plain,
% 48.65/31.72 (((~nextState(constB57, constB58)) | (~v101(constB58)) | (~v110(constB58)) | v100(constB58)) <=> ((~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58)))),
% 48.65/31.72 inference(rewrite,[status(thm)],[])).
% 48.65/31.72 tff(8410,plain,
% 48.65/31.72 (((~![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))))),
% 48.65/31.72 inference(monotonicity,[status(thm)],[8409])).
% 48.65/31.72 tff(8411,plain,
% 48.65/31.72 (((~![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)))),
% 48.65/31.72 inference(transitivity,[status(thm)],[8410, 8408])).
% 48.65/31.72 tff(8412,plain,
% 48.65/31.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB57, constB58)) | (~v101(constB58)) | (~v110(constB58)) | v100(constB58))),
% 48.65/31.72 inference(quant_inst,[status(thm)],[])).
% 48.65/31.72 tff(8413,plain,
% 48.65/31.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58))),
% 48.65/31.72 inference(modus_ponens,[status(thm)],[8412, 8411])).
% 48.65/31.72 tff(8414,plain,
% 48.65/31.72 (v100(constB58) | (~v101(constB58)) | (~v110(constB58))),
% 48.65/31.72 inference(unit_resolution,[status(thm)],[8413, 318, 8382])).
% 48.65/31.72 tff(8415,plain,
% 48.65/31.72 (v100(constB58) | (~v110(constB58))),
% 48.65/31.72 inference(unit_resolution,[status(thm)],[8414, 8407])).
% 48.65/31.72 tff(8416,plain,
% 48.65/31.72 (v100(constB58)),
% 48.65/31.72 inference(unit_resolution,[status(thm)],[8415, 8390])).
% 48.65/31.72 tff(8417,plain,
% 48.65/31.72 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB57)) | (~v130(constB57, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB57)) | (~v130(constB57, bitIndex2)))),
% 48.65/31.72 inference(rewrite,[status(thm)],[])).
% 48.65/31.72 tff(8418,plain,
% 48.65/31.72 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB57)) | (~v130(constB57, bitIndex2)))),
% 48.65/31.72 inference(quant_inst,[status(thm)],[])).
% 48.65/31.72 tff(8419,plain,
% 48.65/31.72 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB57)) | (~v130(constB57, bitIndex2))),
% 48.65/31.72 inference(modus_ponens,[status(thm)],[8418, 8417])).
% 48.65/31.72 tff(8420,plain,
% 48.65/31.72 (~v130(constB57, bitIndex2)),
% 48.65/31.72 inference(unit_resolution,[status(thm)],[8419, 1383, 8339])).
% 48.65/31.72 tff(8421,plain,
% 48.65/31.72 (((~![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))),
% 48.65/31.72 inference(rewrite,[status(thm)],[])).
% 48.65/31.72 tff(8422,plain,
% 48.65/31.72 ((v26(constB57) | v130(constB57, bitIndex2) | (~v127(constB57, bitIndex2))) <=> ((~v127(constB57, bitIndex2)) | v26(constB57) | v130(constB57, bitIndex2))),
% 48.65/31.72 inference(rewrite,[status(thm)],[])).
% 48.65/31.72 tff(8423,plain,
% 48.65/31.72 (((~![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)))),
% 48.65/31.72 inference(monotonicity,[status(thm)],[8422])).
% 48.65/31.72 tff(8424,plain,
% 48.65/31.72 (((~![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))),
% 48.65/31.72 inference(transitivity,[status(thm)],[8423, 8421])).
% 48.65/31.72 tff(8425,plain,
% 48.65/31.72 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB57) | v130(constB57, bitIndex2) | (~v127(constB57, bitIndex2)))),
% 48.65/31.72 inference(quant_inst,[status(thm)],[])).
% 48.65/31.72 tff(8426,plain,
% 48.65/31.72 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB57, bitIndex2)) | v26(constB57) | v130(constB57, bitIndex2)),
% 48.65/31.72 inference(modus_ponens,[status(thm)],[8425, 8424])).
% 48.65/31.72 tff(8427,plain,
% 48.65/31.72 ((~v127(constB57, bitIndex2)) | v130(constB57, bitIndex2)),
% 48.65/31.72 inference(unit_resolution,[status(thm)],[8426, 1210, 8367])).
% 48.65/31.72 tff(8428,plain,
% 48.65/31.72 (~v127(constB57, bitIndex2)),
% 48.65/31.72 inference(unit_resolution,[status(thm)],[8427, 8420])).
% 48.65/31.72 tff(8429,plain,
% 48.65/31.72 (((~![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)))),
% 48.65/31.72 inference(rewrite,[status(thm)],[])).
% 48.65/31.72 tff(8430,plain,
% 48.65/31.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB57, constB58)) | v127(constB57, bitIndex2) | (~v129(constB58, bitIndex2)))),
% 48.65/31.72 inference(quant_inst,[status(thm)],[])).
% 48.65/31.72 tff(8431,plain,
% 48.65/31.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB57, constB58)) | v127(constB57, bitIndex2) | (~v129(constB58, bitIndex2))),
% 48.65/31.72 inference(modus_ponens,[status(thm)],[8430, 8429])).
% 48.65/31.72 tff(8432,plain,
% 48.65/31.72 (v127(constB57, bitIndex2) | (~v129(constB58, bitIndex2))),
% 48.65/31.72 inference(unit_resolution,[status(thm)],[8431, 1243, 8382])).
% 48.65/31.72 tff(8433,plain,
% 48.65/31.72 (~v129(constB58, bitIndex2)),
% 48.65/31.73 inference(unit_resolution,[status(thm)],[8432, 8428])).
% 48.65/31.73 tff(8434,plain,
% 48.65/31.73 (((~![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)))),
% 48.65/31.73 inference(rewrite,[status(thm)],[])).
% 48.65/31.73 tff(8435,plain,
% 48.65/31.73 (((~v90(constB58, bitIndex2)) | (~v100(constB58)) | v129(constB58, bitIndex2)) <=> ((~v90(constB58, bitIndex2)) | v129(constB58, bitIndex2) | (~v100(constB58)))),
% 48.65/31.73 inference(rewrite,[status(thm)],[])).
% 48.65/31.73 tff(8436,plain,
% 48.65/31.73 (((~![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))))),
% 48.65/31.73 inference(monotonicity,[status(thm)],[8435])).
% 48.65/31.73 tff(8437,plain,
% 48.65/31.73 (((~![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)))),
% 48.65/31.73 inference(transitivity,[status(thm)],[8436, 8434])).
% 48.65/31.73 tff(8438,plain,
% 48.65/31.73 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB58, bitIndex2)) | (~v100(constB58)) | v129(constB58, bitIndex2))),
% 48.65/31.73 inference(quant_inst,[status(thm)],[])).
% 48.65/31.73 tff(8439,plain,
% 48.65/31.73 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB58, bitIndex2)) | v129(constB58, bitIndex2) | (~v100(constB58))),
% 48.65/31.73 inference(modus_ponens,[status(thm)],[8438, 8437])).
% 48.65/31.73 tff(8440,plain,
% 48.65/31.73 ((~v90(constB58, bitIndex2)) | (~v100(constB58))),
% 48.65/31.73 inference(unit_resolution,[status(thm)],[8439, 1258, 8433])).
% 48.65/31.73 tff(8441,plain,
% 48.65/31.73 (~v90(constB58, bitIndex2)),
% 48.65/31.73 inference(unit_resolution,[status(thm)],[8440, 8416])).
% 48.65/31.73 tff(8442,plain,
% 48.65/31.73 ((~v1(constB59)) <=> (~v1(constB59))),
% 48.65/31.73 inference(rewrite,[status(thm)],[])).
% 48.65/31.73 tff(8443,axiom,(~v1(constB59)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_59_1_1')).
% 48.65/31.73 tff(8444,plain,
% 48.65/31.73 (~v1(constB59)),
% 48.65/31.73 inference(modus_ponens,[status(thm)],[8443, 8442])).
% 48.65/31.73 tff(8445,plain,
% 48.65/31.73 (nextState(constB58, constB59) <=> nextState(constB58, constB59)),
% 48.65/31.73 inference(rewrite,[status(thm)],[])).
% 48.65/31.73 tff(8446,axiom,(nextState(constB58, constB59)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_58_1')).
% 48.65/31.73 tff(8447,plain,
% 48.65/31.73 (nextState(constB58, constB59)),
% 48.65/31.73 inference(modus_ponens,[status(thm)],[8446, 8445])).
% 48.65/31.73 tff(8448,plain,
% 48.65/31.73 (((~![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)))),
% 48.65/31.73 inference(rewrite,[status(thm)],[])).
% 48.65/31.73 tff(8449,plain,
% 48.65/31.73 (((~nextState(constB58, constB59)) | (~v101(constB59)) | v1(constB59)) <=> (v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59)))),
% 48.65/31.73 inference(rewrite,[status(thm)],[])).
% 48.65/31.73 tff(8450,plain,
% 48.65/31.73 (((~![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))))),
% 48.65/31.73 inference(monotonicity,[status(thm)],[8449])).
% 48.65/31.73 tff(8451,plain,
% 48.65/31.73 (((~![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)))),
% 48.65/31.73 inference(transitivity,[status(thm)],[8450, 8448])).
% 48.65/31.73 tff(8452,plain,
% 48.65/31.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB58, constB59)) | (~v101(constB59)) | v1(constB59))),
% 48.65/31.73 inference(quant_inst,[status(thm)],[])).
% 48.65/31.73 tff(8453,plain,
% 48.65/31.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59))),
% 48.65/31.73 inference(modus_ponens,[status(thm)],[8452, 8451])).
% 48.65/31.73 tff(8454,plain,
% 48.65/31.73 (~v101(constB59)),
% 48.65/31.73 inference(unit_resolution,[status(thm)],[8453, 49, 8447, 8444])).
% 48.65/31.73 tff(8455,plain,
% 48.65/31.73 (((~![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)))),
% 48.65/31.73 inference(rewrite,[status(thm)],[])).
% 48.65/31.73 tff(8456,plain,
% 48.65/31.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB58, constB59)) | v101(constB59) | (~v100(constB59)))),
% 48.65/31.73 inference(quant_inst,[status(thm)],[])).
% 48.65/31.73 tff(8457,plain,
% 48.65/31.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB58, constB59)) | v101(constB59) | (~v100(constB59))),
% 48.65/31.73 inference(modus_ponens,[status(thm)],[8456, 8455])).
% 48.65/31.73 tff(8458,plain,
% 48.65/31.73 (v101(constB59) | (~v100(constB59))),
% 48.65/31.73 inference(unit_resolution,[status(thm)],[8457, 66, 8447])).
% 48.65/31.73 tff(8459,plain,
% 48.65/31.73 (~v100(constB59)),
% 48.65/31.73 inference(unit_resolution,[status(thm)],[8458, 8454])).
% 48.65/31.73 tff(8460,plain,
% 48.65/31.73 (((~![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)))),
% 48.65/31.73 inference(rewrite,[status(thm)],[])).
% 48.65/31.73 tff(8461,plain,
% 48.65/31.73 (((~nextState(constB58, constB59)) | v90(constB58, bitIndex2) | v100(constB59) | (~v90(constB59, bitIndex2))) <=> (v90(constB58, bitIndex2) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex2)))),
% 48.65/31.73 inference(rewrite,[status(thm)],[])).
% 48.65/31.73 tff(8462,plain,
% 48.65/31.73 (((~![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))))),
% 48.65/31.73 inference(monotonicity,[status(thm)],[8461])).
% 48.65/31.73 tff(8463,plain,
% 48.65/31.73 (((~![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)))),
% 48.65/31.73 inference(transitivity,[status(thm)],[8462, 8460])).
% 48.65/31.73 tff(8464,plain,
% 48.65/31.73 ((~![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)))),
% 48.65/31.73 inference(quant_inst,[status(thm)],[])).
% 48.65/31.73 tff(8465,plain,
% 48.65/31.73 ((~![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))),
% 48.65/31.73 inference(modus_ponens,[status(thm)],[8464, 8463])).
% 48.65/31.73 tff(8466,plain,
% 48.65/31.73 (v90(constB58, bitIndex2) | v100(constB59) | (~v90(constB59, bitIndex2))),
% 48.65/31.73 inference(unit_resolution,[status(thm)],[8465, 81, 8447])).
% 48.65/31.73 tff(8467,plain,
% 48.65/31.73 (v90(constB58, bitIndex2) | (~v90(constB59, bitIndex2))),
% 48.65/31.73 inference(unit_resolution,[status(thm)],[8466, 8459])).
% 48.65/31.73 tff(8468,plain,
% 48.65/31.73 (~v90(constB59, bitIndex2)),
% 48.65/31.73 inference(unit_resolution,[status(thm)],[8467, 8441])).
% 48.65/31.73 tff(8469,plain,
% 48.65/31.73 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB57)) | v130(constB57, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB57)) | v130(constB57, bitIndex1))),
% 48.65/31.73 inference(rewrite,[status(thm)],[])).
% 48.65/31.73 tff(8470,plain,
% 48.65/31.73 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB57)) | v130(constB57, bitIndex1))),
% 48.65/31.73 inference(quant_inst,[status(thm)],[])).
% 48.65/31.73 tff(8471,plain,
% 48.65/31.73 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB57)) | v130(constB57, bitIndex1)),
% 48.65/31.73 inference(modus_ponens,[status(thm)],[8470, 8469])).
% 48.65/31.73 tff(8472,plain,
% 48.65/31.73 (v130(constB57, bitIndex1)),
% 48.65/31.73 inference(unit_resolution,[status(thm)],[8471, 1450, 8339])).
% 48.65/31.73 tff(8473,plain,
% 48.65/31.73 (((~![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))),
% 48.65/31.73 inference(rewrite,[status(thm)],[])).
% 48.65/31.73 tff(8474,plain,
% 48.65/31.73 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB57) | (~v130(constB57, bitIndex1)) | v127(constB57, bitIndex1))),
% 48.65/31.73 inference(quant_inst,[status(thm)],[])).
% 48.65/31.73 tff(8475,plain,
% 48.65/31.73 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB57) | (~v130(constB57, bitIndex1)) | v127(constB57, bitIndex1)),
% 48.65/31.73 inference(modus_ponens,[status(thm)],[8474, 8473])).
% 48.65/31.73 tff(8476,plain,
% 48.65/31.73 ((~v130(constB57, bitIndex1)) | v127(constB57, bitIndex1)),
% 48.65/31.73 inference(unit_resolution,[status(thm)],[8475, 681, 8367])).
% 48.65/31.73 tff(8477,plain,
% 48.65/31.73 (v127(constB57, bitIndex1)),
% 48.65/31.73 inference(unit_resolution,[status(thm)],[8476, 8472])).
% 48.65/31.73 tff(8478,plain,
% 48.65/31.73 (((~![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))),
% 48.65/31.73 inference(rewrite,[status(thm)],[])).
% 48.65/31.73 tff(8479,plain,
% 48.65/31.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB57, constB58)) | (~v127(constB57, bitIndex1)) | v129(constB58, bitIndex1))),
% 48.65/31.73 inference(quant_inst,[status(thm)],[])).
% 48.65/31.73 tff(8480,plain,
% 48.65/31.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB57, constB58)) | (~v127(constB57, bitIndex1)) | v129(constB58, bitIndex1)),
% 48.65/31.73 inference(modus_ponens,[status(thm)],[8479, 8478])).
% 48.65/31.73 tff(8481,plain,
% 48.65/31.73 ((~v127(constB57, bitIndex1)) | v129(constB58, bitIndex1)),
% 48.65/31.73 inference(unit_resolution,[status(thm)],[8480, 696, 8382])).
% 48.65/31.73 tff(8482,plain,
% 48.65/31.73 (v129(constB58, bitIndex1)),
% 48.65/31.73 inference(unit_resolution,[status(thm)],[8481, 8477])).
% 48.65/31.73 tff(8483,plain,
% 48.65/31.73 (((~![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)))),
% 48.65/31.73 inference(rewrite,[status(thm)],[])).
% 48.65/31.73 tff(8484,plain,
% 48.65/31.73 ((v90(constB58, bitIndex1) | (~v100(constB58)) | (~v129(constB58, bitIndex1))) <=> (v90(constB58, bitIndex1) | (~v129(constB58, bitIndex1)) | (~v100(constB58)))),
% 48.65/31.73 inference(rewrite,[status(thm)],[])).
% 48.65/31.73 tff(8485,plain,
% 48.65/31.73 (((~![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))))),
% 48.65/31.73 inference(monotonicity,[status(thm)],[8484])).
% 48.65/31.73 tff(8486,plain,
% 48.65/31.73 (((~![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)))),
% 48.65/31.73 inference(transitivity,[status(thm)],[8485, 8483])).
% 48.65/31.73 tff(8487,plain,
% 48.65/31.73 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB58, bitIndex1) | (~v100(constB58)) | (~v129(constB58, bitIndex1)))),
% 48.65/31.73 inference(quant_inst,[status(thm)],[])).
% 48.65/31.73 tff(8488,plain,
% 48.65/31.73 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB58, bitIndex1) | (~v129(constB58, bitIndex1)) | (~v100(constB58))),
% 48.65/31.73 inference(modus_ponens,[status(thm)],[8487, 8486])).
% 48.65/31.73 tff(8489,plain,
% 48.65/31.73 (v90(constB58, bitIndex1) | (~v100(constB58))),
% 48.65/31.73 inference(unit_resolution,[status(thm)],[8488, 711, 8482])).
% 48.65/31.73 tff(8490,plain,
% 48.65/31.73 (v90(constB58, bitIndex1)),
% 48.65/31.73 inference(unit_resolution,[status(thm)],[8489, 8416])).
% 48.65/31.73 tff(8491,plain,
% 48.65/31.73 (((~![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))),
% 48.65/31.73 inference(rewrite,[status(thm)],[])).
% 48.65/31.73 tff(8492,plain,
% 48.65/31.73 (((~nextState(constB58, constB59)) | (~v90(constB58, bitIndex1)) | v100(constB59) | v90(constB59, bitIndex1)) <=> ((~v90(constB58, bitIndex1)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, bitIndex1))),
% 48.65/31.73 inference(rewrite,[status(thm)],[])).
% 48.65/31.73 tff(8493,plain,
% 48.65/31.73 (((~![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)))),
% 48.65/31.73 inference(monotonicity,[status(thm)],[8492])).
% 48.65/31.73 tff(8494,plain,
% 48.65/31.73 (((~![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))),
% 48.65/31.73 inference(transitivity,[status(thm)],[8493, 8491])).
% 48.65/31.73 tff(8495,plain,
% 48.65/31.73 ((~![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))),
% 48.65/31.73 inference(quant_inst,[status(thm)],[])).
% 48.65/31.73 tff(8496,plain,
% 48.65/31.73 ((~![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)),
% 48.65/31.73 inference(modus_ponens,[status(thm)],[8495, 8494])).
% 48.65/31.73 tff(8497,plain,
% 48.65/31.73 ((~v90(constB58, bitIndex1)) | v100(constB59) | v90(constB59, bitIndex1)),
% 48.65/31.73 inference(unit_resolution,[status(thm)],[8496, 747, 8447])).
% 48.65/31.73 tff(8498,plain,
% 48.65/31.73 ((~v90(constB58, bitIndex1)) | v90(constB59, bitIndex1)),
% 48.65/31.73 inference(unit_resolution,[status(thm)],[8497, 8459])).
% 48.65/31.73 tff(8499,plain,
% 48.65/31.73 (v90(constB59, bitIndex1)),
% 48.65/31.73 inference(unit_resolution,[status(thm)],[8498, 8490])).
% 48.65/31.73 tff(8500,plain,
% 48.65/31.73 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB57)) | (~v130(constB57, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB57)) | (~v130(constB57, bitIndex0)))),
% 48.65/31.73 inference(rewrite,[status(thm)],[])).
% 48.65/31.73 tff(8501,plain,
% 48.65/31.73 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB57)) | (~v130(constB57, bitIndex0)))),
% 48.65/31.73 inference(quant_inst,[status(thm)],[])).
% 48.65/31.73 tff(8502,plain,
% 48.65/31.73 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB57)) | (~v130(constB57, bitIndex0))),
% 48.65/31.73 inference(modus_ponens,[status(thm)],[8501, 8500])).
% 48.65/31.73 tff(8503,plain,
% 48.65/31.73 (~v130(constB57, bitIndex0)),
% 48.65/31.73 inference(unit_resolution,[status(thm)],[8502, 1492, 8339])).
% 48.65/31.73 tff(8504,plain,
% 48.65/31.73 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB57, bitIndex0)) | v26(constB57) | v130(constB57, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB57, bitIndex0)) | v26(constB57) | v130(constB57, bitIndex0))),
% 48.65/31.73 inference(rewrite,[status(thm)],[])).
% 48.65/31.73 tff(8505,plain,
% 48.65/31.73 ((v26(constB57) | v130(constB57, bitIndex0) | (~v127(constB57, bitIndex0))) <=> ((~v127(constB57, bitIndex0)) | v26(constB57) | v130(constB57, bitIndex0))),
% 48.65/31.73 inference(rewrite,[status(thm)],[])).
% 48.65/31.73 tff(8506,plain,
% 48.65/31.73 (((~![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)))) | ((~v127(constB57, bitIndex0)) | v26(constB57) | v130(constB57, bitIndex0)))),
% 48.65/31.73 inference(monotonicity,[status(thm)],[8505])).
% 48.65/31.73 tff(8507,plain,
% 48.65/31.73 (((~![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)))) | (~v127(constB57, bitIndex0)) | v26(constB57) | v130(constB57, bitIndex0))),
% 48.65/31.73 inference(transitivity,[status(thm)],[8506, 8504])).
% 48.65/31.73 tff(8508,plain,
% 48.65/31.73 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB57) | v130(constB57, bitIndex0) | (~v127(constB57, bitIndex0)))),
% 48.65/31.73 inference(quant_inst,[status(thm)],[])).
% 48.65/31.73 tff(8509,plain,
% 48.65/31.73 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB57, bitIndex0)) | v26(constB57) | v130(constB57, bitIndex0)),
% 48.65/31.73 inference(modus_ponens,[status(thm)],[8508, 8507])).
% 48.65/31.73 tff(8510,plain,
% 48.65/31.73 ((~v127(constB57, bitIndex0)) | v130(constB57, bitIndex0)),
% 48.65/31.73 inference(unit_resolution,[status(thm)],[8509, 524, 8367])).
% 48.65/31.73 tff(8511,plain,
% 48.65/31.73 (~v127(constB57, bitIndex0)),
% 48.65/31.73 inference(unit_resolution,[status(thm)],[8510, 8503])).
% 48.65/31.73 tff(8512,plain,
% 48.65/31.73 (((~![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)))),
% 48.65/31.73 inference(rewrite,[status(thm)],[])).
% 48.65/31.73 tff(8513,plain,
% 48.65/31.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB57, constB58)) | v127(constB57, bitIndex0) | (~v129(constB58, bitIndex0)))),
% 48.65/31.73 inference(quant_inst,[status(thm)],[])).
% 48.65/31.73 tff(8514,plain,
% 48.65/31.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB57, constB58)) | v127(constB57, bitIndex0) | (~v129(constB58, bitIndex0))),
% 48.65/31.73 inference(modus_ponens,[status(thm)],[8513, 8512])).
% 48.65/31.73 tff(8515,plain,
% 48.65/31.73 (v127(constB57, bitIndex0) | (~v129(constB58, bitIndex0))),
% 48.65/31.73 inference(unit_resolution,[status(thm)],[8514, 542, 8382])).
% 48.65/31.73 tff(8516,plain,
% 48.65/31.73 (~v129(constB58, bitIndex0)),
% 48.65/31.73 inference(unit_resolution,[status(thm)],[8515, 8511])).
% 48.65/31.73 tff(8517,plain,
% 48.65/31.73 (((~![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)))),
% 48.65/31.73 inference(rewrite,[status(thm)],[])).
% 48.65/31.73 tff(8518,plain,
% 48.65/31.73 (((~v90(constB58, bitIndex0)) | (~v100(constB58)) | v129(constB58, bitIndex0)) <=> ((~v90(constB58, bitIndex0)) | v129(constB58, bitIndex0) | (~v100(constB58)))),
% 48.65/31.73 inference(rewrite,[status(thm)],[])).
% 48.65/31.73 tff(8519,plain,
% 48.65/31.73 (((~![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))))),
% 48.65/31.73 inference(monotonicity,[status(thm)],[8518])).
% 48.65/31.73 tff(8520,plain,
% 48.65/31.73 (((~![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)))),
% 48.65/31.73 inference(transitivity,[status(thm)],[8519, 8517])).
% 48.65/31.73 tff(8521,plain,
% 48.65/31.73 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB58, bitIndex0)) | (~v100(constB58)) | v129(constB58, bitIndex0))),
% 48.65/31.73 inference(quant_inst,[status(thm)],[])).
% 48.65/31.73 tff(8522,plain,
% 48.65/31.73 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB58, bitIndex0)) | v129(constB58, bitIndex0) | (~v100(constB58))),
% 48.65/31.73 inference(modus_ponens,[status(thm)],[8521, 8520])).
% 48.65/31.73 tff(8523,plain,
% 48.65/31.73 ((~v90(constB58, bitIndex0)) | (~v100(constB58))),
% 48.65/31.73 inference(unit_resolution,[status(thm)],[8522, 557, 8516])).
% 48.65/31.73 tff(8524,plain,
% 48.65/31.73 (~v90(constB58, bitIndex0)),
% 48.65/31.73 inference(unit_resolution,[status(thm)],[8523, 8416])).
% 48.65/31.73 tff(8525,plain,
% 48.65/31.73 (((~![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)))),
% 48.65/31.73 inference(rewrite,[status(thm)],[])).
% 48.65/31.73 tff(8526,plain,
% 48.65/31.73 (((~nextState(constB58, constB59)) | v90(constB58, bitIndex0) | v100(constB59) | (~v90(constB59, bitIndex0))) <=> (v90(constB58, bitIndex0) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, bitIndex0)))),
% 48.65/31.73 inference(rewrite,[status(thm)],[])).
% 48.65/31.73 tff(8527,plain,
% 48.65/31.73 (((~![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))))),
% 48.65/31.73 inference(monotonicity,[status(thm)],[8526])).
% 48.65/31.73 tff(8528,plain,
% 48.65/31.73 (((~![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)))),
% 48.65/31.73 inference(transitivity,[status(thm)],[8527, 8525])).
% 48.65/31.73 tff(8529,plain,
% 48.65/31.73 ((~![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)))),
% 48.65/31.73 inference(quant_inst,[status(thm)],[])).
% 48.65/31.73 tff(8530,plain,
% 48.65/31.73 ((~![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))),
% 48.65/31.73 inference(modus_ponens,[status(thm)],[8529, 8528])).
% 48.65/31.73 tff(8531,plain,
% 48.65/31.73 (v90(constB58, bitIndex0) | v100(constB59) | (~v90(constB59, bitIndex0))),
% 48.65/31.73 inference(unit_resolution,[status(thm)],[8530, 123, 8447])).
% 48.65/31.73 tff(8532,plain,
% 48.65/31.73 (v90(constB58, bitIndex0) | (~v90(constB59, bitIndex0))),
% 48.65/31.73 inference(unit_resolution,[status(thm)],[8531, 8459])).
% 48.65/31.73 tff(8533,plain,
% 48.65/31.73 (~v90(constB59, bitIndex0)),
% 48.65/31.73 inference(unit_resolution,[status(thm)],[8532, 8524])).
% 48.65/31.73 tff(8534,plain,
% 48.65/31.73 (((~![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))),
% 48.65/31.73 inference(rewrite,[status(thm)],[])).
% 48.65/31.73 tff(8535,plain,
% 48.65/31.73 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB59, bitIndex0) | (~v90(constB59, bitIndex1)) | v90(constB59, bitIndex2) | v121(constB59))),
% 48.65/31.73 inference(quant_inst,[status(thm)],[])).
% 48.65/31.73 tff(8536,plain,
% 48.65/31.73 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB59, bitIndex0) | (~v90(constB59, bitIndex1)) | v90(constB59, bitIndex2) | v121(constB59)),
% 48.65/31.73 inference(modus_ponens,[status(thm)],[8535, 8534])).
% 48.65/31.73 tff(8537,plain,
% 48.65/31.73 (v121(constB59)),
% 48.65/31.73 inference(unit_resolution,[status(thm)],[8536, 1551, 8533, 8499, 8468])).
% 48.65/31.73 tff(8538,plain,
% 48.65/31.73 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB59) | (~v121(constB59)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB59) | (~v121(constB59)))),
% 48.65/31.73 inference(rewrite,[status(thm)],[])).
% 48.65/31.73 tff(8539,plain,
% 48.65/31.73 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB59) | (~v121(constB59)))),
% 48.65/31.73 inference(quant_inst,[status(thm)],[])).
% 48.65/31.73 tff(8540,plain,
% 48.65/31.73 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB59) | (~v121(constB59))),
% 48.65/31.73 inference(modus_ponens,[status(thm)],[8539, 8538])).
% 48.65/31.73 tff(8541,plain,
% 48.65/31.73 (v117(constB59)),
% 48.65/31.73 inference(unit_resolution,[status(thm)],[8540, 1562, 8537])).
% 48.65/31.73 tff(8542,plain,
% 48.65/31.73 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB59) | (~v117(constB59)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB59) | (~v117(constB59)))),
% 48.65/31.73 inference(rewrite,[status(thm)],[])).
% 48.65/31.73 tff(8543,plain,
% 48.65/31.73 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB59) | (~v117(constB59)))),
% 48.65/31.73 inference(quant_inst,[status(thm)],[])).
% 48.65/31.73 tff(8544,plain,
% 48.65/31.73 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB59) | (~v117(constB59))),
% 48.65/31.73 inference(modus_ponens,[status(thm)],[8543, 8542])).
% 48.65/31.73 tff(8545,plain,
% 48.65/31.73 (v116(constB59)),
% 48.65/31.73 inference(unit_resolution,[status(thm)],[8544, 177, 8541])).
% 48.65/31.73 tff(8546,plain,
% 48.65/31.73 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB59) | (~v116(constB59)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB59) | (~v116(constB59)))),
% 48.65/31.73 inference(rewrite,[status(thm)],[])).
% 48.65/31.73 tff(8547,plain,
% 48.65/31.73 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB59) | (~v116(constB59)))),
% 48.65/31.73 inference(quant_inst,[status(thm)],[])).
% 48.65/31.73 tff(8548,plain,
% 48.65/31.73 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB59) | (~v116(constB59))),
% 48.65/31.73 inference(modus_ponens,[status(thm)],[8547, 8546])).
% 48.65/31.73 tff(8549,plain,
% 48.65/31.73 (v115(constB59)),
% 48.65/31.73 inference(unit_resolution,[status(thm)],[8548, 188, 8545])).
% 48.65/31.73 tff(8550,plain,
% 48.65/31.73 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB59) | (~v115(constB59)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB59) | (~v115(constB59)))),
% 48.65/31.73 inference(rewrite,[status(thm)],[])).
% 48.65/31.73 tff(8551,plain,
% 48.65/31.73 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB59) | (~v115(constB59)))),
% 48.65/31.73 inference(quant_inst,[status(thm)],[])).
% 48.65/31.73 tff(8552,plain,
% 48.65/31.73 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB59) | (~v115(constB59))),
% 48.65/31.73 inference(modus_ponens,[status(thm)],[8551, 8550])).
% 48.65/31.73 tff(8553,plain,
% 48.65/31.73 (v114(constB59)),
% 48.65/31.73 inference(unit_resolution,[status(thm)],[8552, 199, 8549])).
% 48.65/31.73 tff(8554,plain,
% 48.65/31.73 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB59) | (~v114(constB59)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB59) | (~v114(constB59)))),
% 48.65/31.73 inference(rewrite,[status(thm)],[])).
% 48.65/31.73 tff(8555,plain,
% 48.65/31.73 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB59) | (~v114(constB59)))),
% 48.65/31.73 inference(quant_inst,[status(thm)],[])).
% 48.65/31.73 tff(8556,plain,
% 48.65/31.73 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB59) | (~v114(constB59))),
% 48.65/31.73 inference(modus_ponens,[status(thm)],[8555, 8554])).
% 48.65/31.73 tff(8557,plain,
% 48.65/31.73 (v113(constB59)),
% 48.65/31.73 inference(unit_resolution,[status(thm)],[8556, 210, 8553])).
% 48.65/31.73 tff(8558,plain,
% 48.65/31.73 (((~![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))),
% 48.65/31.73 inference(rewrite,[status(thm)],[])).
% 48.65/31.73 tff(8559,plain,
% 48.65/31.73 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB59) | (~v113(constB59)) | v112(constB59))),
% 48.65/31.73 inference(quant_inst,[status(thm)],[])).
% 48.65/31.74 tff(8560,plain,
% 48.65/31.74 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB59) | (~v113(constB59)) | v112(constB59)),
% 48.65/31.74 inference(modus_ponens,[status(thm)],[8559, 8558])).
% 48.65/31.74 tff(8561,plain,
% 48.65/31.74 (v26(constB59) | v112(constB59)),
% 48.65/31.74 inference(unit_resolution,[status(thm)],[8560, 224, 8557])).
% 48.65/31.74 tff(8562,plain,
% 48.65/31.74 (v112(constB59)),
% 48.65/31.74 inference(unit_resolution,[status(thm)],[8561, 19])).
% 48.65/31.74 tff(8563,plain,
% 48.65/31.74 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB59) | (~v112(constB59)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB59) | (~v112(constB59)))),
% 48.65/31.74 inference(rewrite,[status(thm)],[])).
% 48.65/31.74 tff(8564,plain,
% 48.65/31.74 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB59) | (~v112(constB59)))),
% 48.65/31.74 inference(quant_inst,[status(thm)],[])).
% 48.65/31.74 tff(8565,plain,
% 48.65/31.74 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB59) | (~v112(constB59))),
% 48.65/31.74 inference(modus_ponens,[status(thm)],[8564, 8563])).
% 48.65/31.74 tff(8566,plain,
% 48.65/31.74 (v108(constB59)),
% 48.65/31.74 inference(unit_resolution,[status(thm)],[8565, 236, 8562])).
% 48.65/31.74 tff(8567,plain,
% 48.65/31.74 (nextState(constB59, constB60) <=> nextState(constB59, constB60)),
% 48.65/31.74 inference(rewrite,[status(thm)],[])).
% 48.65/31.74 tff(8568,axiom,(nextState(constB59, constB60)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_59_1')).
% 48.65/31.74 tff(8569,plain,
% 48.65/31.74 (nextState(constB59, constB60)),
% 48.65/31.74 inference(modus_ponens,[status(thm)],[8568, 8567])).
% 48.65/31.74 tff(8570,plain,
% 48.65/31.74 (((~![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)))),
% 48.65/31.74 inference(rewrite,[status(thm)],[])).
% 48.65/31.74 tff(8571,plain,
% 48.65/31.74 (((~nextState(constB59, constB60)) | (~v108(constB59)) | v110(constB60)) <=> ((~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59)))),
% 48.65/31.74 inference(rewrite,[status(thm)],[])).
% 48.65/31.74 tff(8572,plain,
% 48.65/31.74 (((~![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))))),
% 48.65/31.74 inference(monotonicity,[status(thm)],[8571])).
% 48.65/31.74 tff(8573,plain,
% 48.65/31.74 (((~![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)))),
% 48.65/31.74 inference(transitivity,[status(thm)],[8572, 8570])).
% 48.65/31.74 tff(8574,plain,
% 48.65/31.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB59, constB60)) | (~v108(constB59)) | v110(constB60))),
% 48.65/31.74 inference(quant_inst,[status(thm)],[])).
% 48.65/31.74 tff(8575,plain,
% 48.65/31.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59))),
% 48.65/31.74 inference(modus_ponens,[status(thm)],[8574, 8573])).
% 48.65/31.74 tff(8576,plain,
% 48.65/31.74 (v110(constB60) | (~v108(constB59))),
% 48.65/31.74 inference(unit_resolution,[status(thm)],[8575, 253, 8569])).
% 48.65/31.74 tff(8577,plain,
% 48.65/31.74 (v110(constB60)),
% 48.65/31.74 inference(unit_resolution,[status(thm)],[8576, 8566])).
% 48.65/31.74 tff(8578,plain,
% 48.65/31.74 (((~![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)))),
% 48.65/31.74 inference(rewrite,[status(thm)],[])).
% 48.65/31.74 tff(8579,plain,
% 48.65/31.74 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB59) | (~nextState(constB59, constB60)) | (~v104(constB60)))),
% 48.65/31.74 inference(quant_inst,[status(thm)],[])).
% 48.65/31.74 tff(8580,plain,
% 48.65/31.74 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB59) | (~nextState(constB59, constB60)) | (~v104(constB60))),
% 48.65/31.74 inference(modus_ponens,[status(thm)],[8579, 8578])).
% 48.65/31.74 tff(8581,plain,
% 48.65/31.74 (~v104(constB60)),
% 48.65/31.74 inference(unit_resolution,[status(thm)],[8580, 271, 8569, 8444])).
% 48.65/31.74 tff(8582,plain,
% 48.65/31.74 (((~![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))),
% 48.65/31.74 inference(rewrite,[status(thm)],[])).
% 48.65/31.74 tff(8583,plain,
% 48.65/31.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB59, constB60)) | v102(constB60) | v104(constB60))),
% 48.65/31.74 inference(quant_inst,[status(thm)],[])).
% 48.65/31.74 tff(8584,plain,
% 48.65/31.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB59, constB60)) | v102(constB60) | v104(constB60)),
% 48.65/31.74 inference(modus_ponens,[status(thm)],[8583, 8582])).
% 48.65/31.74 tff(8585,plain,
% 48.65/31.74 (v102(constB60) | v104(constB60)),
% 48.65/31.74 inference(unit_resolution,[status(thm)],[8584, 285, 8569])).
% 48.65/31.74 tff(8586,plain,
% 48.65/31.74 (v102(constB60)),
% 48.65/31.74 inference(unit_resolution,[status(thm)],[8585, 8581])).
% 48.65/31.74 tff(8587,plain,
% 48.65/31.74 (v1(constB60) <=> v1(constB60)),
% 48.65/31.74 inference(rewrite,[status(thm)],[])).
% 48.65/31.74 tff(8588,axiom,(v1(constB60)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_60_1')).
% 48.65/31.74 tff(8589,plain,
% 48.65/31.74 (v1(constB60)),
% 48.65/31.74 inference(modus_ponens,[status(thm)],[8588, 8587])).
% 48.65/31.74 tff(8590,plain,
% 48.65/31.74 (((~![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)))),
% 48.65/31.74 inference(rewrite,[status(thm)],[])).
% 48.65/31.74 tff(8591,plain,
% 48.65/31.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB59, constB60)) | v101(constB60) | (~v102(constB60)) | (~v1(constB60)))),
% 48.65/31.74 inference(quant_inst,[status(thm)],[])).
% 48.65/31.74 tff(8592,plain,
% 48.65/31.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB59, constB60)) | v101(constB60) | (~v102(constB60)) | (~v1(constB60))),
% 48.65/31.74 inference(modus_ponens,[status(thm)],[8591, 8590])).
% 48.65/31.74 tff(8593,plain,
% 48.65/31.74 (v101(constB60) | (~v102(constB60))),
% 48.65/31.74 inference(unit_resolution,[status(thm)],[8592, 303, 8569, 8589])).
% 48.65/31.74 tff(8594,plain,
% 48.65/31.74 (v101(constB60)),
% 48.65/31.74 inference(unit_resolution,[status(thm)],[8593, 8586])).
% 48.65/31.74 tff(8595,plain,
% 48.65/31.74 (((~![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)))),
% 48.65/31.74 inference(rewrite,[status(thm)],[])).
% 48.65/31.74 tff(8596,plain,
% 48.65/31.74 (((~nextState(constB59, constB60)) | (~v101(constB60)) | (~v110(constB60)) | v100(constB60)) <=> ((~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60)))),
% 48.65/31.74 inference(rewrite,[status(thm)],[])).
% 48.65/31.74 tff(8597,plain,
% 48.65/31.74 (((~![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))))),
% 48.65/31.74 inference(monotonicity,[status(thm)],[8596])).
% 48.65/31.74 tff(8598,plain,
% 48.65/31.74 (((~![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)))),
% 48.65/31.74 inference(transitivity,[status(thm)],[8597, 8595])).
% 48.65/31.74 tff(8599,plain,
% 48.65/31.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB59, constB60)) | (~v101(constB60)) | (~v110(constB60)) | v100(constB60))),
% 48.65/31.74 inference(quant_inst,[status(thm)],[])).
% 48.65/31.74 tff(8600,plain,
% 48.65/31.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60))),
% 48.65/31.74 inference(modus_ponens,[status(thm)],[8599, 8598])).
% 48.65/31.74 tff(8601,plain,
% 48.65/31.74 (v100(constB60) | (~v101(constB60)) | (~v110(constB60))),
% 48.65/31.74 inference(unit_resolution,[status(thm)],[8600, 318, 8569])).
% 48.65/31.74 tff(8602,plain,
% 48.65/31.74 (v100(constB60) | (~v110(constB60))),
% 48.65/31.74 inference(unit_resolution,[status(thm)],[8601, 8594])).
% 48.65/31.74 tff(8603,plain,
% 48.65/31.74 (v100(constB60)),
% 48.65/31.74 inference(unit_resolution,[status(thm)],[8602, 8577])).
% 48.65/31.74 tff(8604,plain,
% 48.65/31.74 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB59)) | v130(constB59, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB59)) | v130(constB59, bitIndex0))),
% 48.65/31.74 inference(rewrite,[status(thm)],[])).
% 48.65/31.74 tff(8605,plain,
% 48.65/31.74 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB59)) | v130(constB59, bitIndex0))),
% 48.65/31.74 inference(quant_inst,[status(thm)],[])).
% 48.65/31.74 tff(8606,plain,
% 48.65/31.74 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB59)) | v130(constB59, bitIndex0)),
% 48.65/31.74 inference(modus_ponens,[status(thm)],[8605, 8604])).
% 48.65/31.74 tff(8607,plain,
% 48.65/31.74 (v130(constB59, bitIndex0)),
% 48.65/31.74 inference(unit_resolution,[status(thm)],[8606, 1748, 8537])).
% 48.65/31.74 tff(8608,plain,
% 48.65/31.74 (((~![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))),
% 48.65/31.74 inference(rewrite,[status(thm)],[])).
% 48.65/31.74 tff(8609,plain,
% 48.65/31.74 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB59) | (~v130(constB59, bitIndex0)) | v127(constB59, bitIndex0))),
% 48.65/31.74 inference(quant_inst,[status(thm)],[])).
% 48.65/31.74 tff(8610,plain,
% 48.65/31.74 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB59) | (~v130(constB59, bitIndex0)) | v127(constB59, bitIndex0)),
% 48.65/31.74 inference(modus_ponens,[status(thm)],[8609, 8608])).
% 48.65/31.74 tff(8611,plain,
% 48.65/31.74 (v26(constB59) | v127(constB59, bitIndex0)),
% 48.65/31.74 inference(unit_resolution,[status(thm)],[8610, 926, 8607])).
% 48.65/31.74 tff(8612,plain,
% 48.65/31.74 (v127(constB59, bitIndex0)),
% 48.65/31.74 inference(unit_resolution,[status(thm)],[8611, 19])).
% 48.65/31.74 tff(8613,plain,
% 48.65/31.74 (((~![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))),
% 48.65/31.74 inference(rewrite,[status(thm)],[])).
% 48.65/31.74 tff(8614,plain,
% 48.65/31.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB59, constB60)) | (~v127(constB59, bitIndex0)) | v129(constB60, bitIndex0))),
% 48.65/31.74 inference(quant_inst,[status(thm)],[])).
% 48.65/31.74 tff(8615,plain,
% 48.65/31.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB59, constB60)) | (~v127(constB59, bitIndex0)) | v129(constB60, bitIndex0)),
% 48.65/31.74 inference(modus_ponens,[status(thm)],[8614, 8613])).
% 48.65/31.74 tff(8616,plain,
% 48.65/31.74 ((~v127(constB59, bitIndex0)) | v129(constB60, bitIndex0)),
% 48.65/31.74 inference(unit_resolution,[status(thm)],[8615, 944, 8569])).
% 48.65/31.74 tff(8617,plain,
% 48.65/31.74 (v129(constB60, bitIndex0)),
% 48.65/31.74 inference(unit_resolution,[status(thm)],[8616, 8612])).
% 48.65/31.74 tff(8618,plain,
% 48.65/31.74 (((~![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)))),
% 48.65/31.74 inference(rewrite,[status(thm)],[])).
% 48.65/31.74 tff(8619,plain,
% 48.65/31.74 ((v90(constB60, bitIndex0) | (~v100(constB60)) | (~v129(constB60, bitIndex0))) <=> (v90(constB60, bitIndex0) | (~v129(constB60, bitIndex0)) | (~v100(constB60)))),
% 48.65/31.74 inference(rewrite,[status(thm)],[])).
% 48.65/31.74 tff(8620,plain,
% 48.65/31.74 (((~![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))))),
% 48.65/31.74 inference(monotonicity,[status(thm)],[8619])).
% 48.65/31.74 tff(8621,plain,
% 48.65/31.74 (((~![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)))),
% 48.65/31.74 inference(transitivity,[status(thm)],[8620, 8618])).
% 48.65/31.74 tff(8622,plain,
% 48.65/31.74 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB60, bitIndex0) | (~v100(constB60)) | (~v129(constB60, bitIndex0)))),
% 48.65/31.74 inference(quant_inst,[status(thm)],[])).
% 48.65/31.74 tff(8623,plain,
% 48.65/31.74 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB60, bitIndex0) | (~v129(constB60, bitIndex0)) | (~v100(constB60))),
% 48.65/31.74 inference(modus_ponens,[status(thm)],[8622, 8621])).
% 48.65/31.74 tff(8624,plain,
% 48.65/31.74 (v90(constB60, bitIndex0) | (~v100(constB60))),
% 48.65/31.74 inference(unit_resolution,[status(thm)],[8623, 1088, 8617])).
% 48.65/31.74 tff(8625,plain,
% 48.65/31.74 (v90(constB60, bitIndex0)),
% 48.65/31.74 inference(unit_resolution,[status(thm)],[8624, 8603])).
% 48.65/31.74 tff(8626,plain,
% 48.65/31.74 ((~v1(constB61)) <=> (~v1(constB61))),
% 48.65/31.74 inference(rewrite,[status(thm)],[])).
% 48.65/31.74 tff(8627,axiom,(~v1(constB61)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_61_1_1')).
% 48.65/31.74 tff(8628,plain,
% 48.65/31.74 (~v1(constB61)),
% 48.65/31.74 inference(modus_ponens,[status(thm)],[8627, 8626])).
% 48.65/31.74 tff(8629,plain,
% 48.65/31.74 (nextState(constB60, constB61) <=> nextState(constB60, constB61)),
% 48.65/31.74 inference(rewrite,[status(thm)],[])).
% 48.65/31.74 tff(8630,axiom,(nextState(constB60, constB61)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_60_1')).
% 48.65/31.74 tff(8631,plain,
% 48.65/31.74 (nextState(constB60, constB61)),
% 48.65/31.74 inference(modus_ponens,[status(thm)],[8630, 8629])).
% 48.65/31.74 tff(8632,plain,
% 48.65/31.74 (((~![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)))),
% 48.65/31.74 inference(rewrite,[status(thm)],[])).
% 48.65/31.74 tff(8633,plain,
% 48.65/31.74 (((~nextState(constB60, constB61)) | (~v101(constB61)) | v1(constB61)) <=> (v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61)))),
% 48.65/31.74 inference(rewrite,[status(thm)],[])).
% 48.65/31.74 tff(8634,plain,
% 48.65/31.74 (((~![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))))),
% 48.65/31.74 inference(monotonicity,[status(thm)],[8633])).
% 48.65/31.74 tff(8635,plain,
% 48.65/31.74 (((~![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)))),
% 48.65/31.74 inference(transitivity,[status(thm)],[8634, 8632])).
% 48.65/31.74 tff(8636,plain,
% 48.65/31.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB60, constB61)) | (~v101(constB61)) | v1(constB61))),
% 48.65/31.74 inference(quant_inst,[status(thm)],[])).
% 48.65/31.74 tff(8637,plain,
% 48.65/31.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61))),
% 48.65/31.74 inference(modus_ponens,[status(thm)],[8636, 8635])).
% 48.65/31.74 tff(8638,plain,
% 48.65/31.74 (~v101(constB61)),
% 48.65/31.74 inference(unit_resolution,[status(thm)],[8637, 49, 8631, 8628])).
% 48.65/31.74 tff(8639,plain,
% 48.65/31.74 (((~![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)))),
% 48.65/31.74 inference(rewrite,[status(thm)],[])).
% 48.65/31.74 tff(8640,plain,
% 48.65/31.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB60, constB61)) | v101(constB61) | (~v100(constB61)))),
% 48.65/31.74 inference(quant_inst,[status(thm)],[])).
% 48.65/31.74 tff(8641,plain,
% 48.65/31.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB60, constB61)) | v101(constB61) | (~v100(constB61))),
% 48.65/31.74 inference(modus_ponens,[status(thm)],[8640, 8639])).
% 48.65/31.74 tff(8642,plain,
% 48.65/31.74 (v101(constB61) | (~v100(constB61))),
% 48.65/31.74 inference(unit_resolution,[status(thm)],[8641, 66, 8631])).
% 48.65/31.74 tff(8643,plain,
% 48.65/31.74 (~v100(constB61)),
% 48.65/31.74 inference(unit_resolution,[status(thm)],[8642, 8638])).
% 48.65/31.74 tff(8644,plain,
% 48.65/31.74 (((~![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))),
% 48.65/31.74 inference(rewrite,[status(thm)],[])).
% 48.65/31.74 tff(8645,plain,
% 48.65/31.74 (((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex0)) | v100(constB61) | v90(constB61, bitIndex0)) <=> ((~v90(constB60, bitIndex0)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex0))),
% 48.65/31.74 inference(rewrite,[status(thm)],[])).
% 48.65/31.74 tff(8646,plain,
% 48.65/31.74 (((~![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)))),
% 48.65/31.74 inference(monotonicity,[status(thm)],[8645])).
% 48.65/31.74 tff(8647,plain,
% 48.65/31.74 (((~![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))),
% 48.65/31.74 inference(transitivity,[status(thm)],[8646, 8644])).
% 48.65/31.74 tff(8648,plain,
% 48.65/31.74 ((~![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))),
% 48.65/31.74 inference(quant_inst,[status(thm)],[])).
% 48.65/31.74 tff(8649,plain,
% 48.65/31.74 ((~![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)),
% 48.65/31.74 inference(modus_ponens,[status(thm)],[8648, 8647])).
% 48.65/31.74 tff(8650,plain,
% 48.65/31.74 ((~v90(constB60, bitIndex0)) | v100(constB61) | v90(constB61, bitIndex0)),
% 48.65/31.74 inference(unit_resolution,[status(thm)],[8649, 1124, 8631])).
% 48.65/31.74 tff(8651,plain,
% 48.65/31.74 ((~v90(constB60, bitIndex0)) | v90(constB61, bitIndex0)),
% 48.65/31.74 inference(unit_resolution,[status(thm)],[8650, 8643])).
% 48.65/31.74 tff(8652,plain,
% 48.65/31.74 (v90(constB61, bitIndex0)),
% 48.65/31.74 inference(unit_resolution,[status(thm)],[8651, 8625])).
% 48.65/31.74 tff(8653,plain,
% 48.65/31.74 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0)) <=> ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0)))),
% 48.65/31.74 inference(bind,[status(th)],[])).
% 48.65/31.74 tff(8654,plain,
% 48.65/31.74 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 48.65/31.74 inference(quant_intro,[status(thm)],[8653])).
% 48.65/31.74 tff(8655,plain,
% 48.65/31.74 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 48.65/31.74 inference(rewrite,[status(thm)],[])).
% 48.65/31.74 tff(8656,plain,
% 48.65/31.74 (^[VarCurr: $i] : rewrite((v88(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex0))) <=> ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0)))),
% 48.65/31.74 inference(bind,[status(th)],[])).
% 48.65/31.74 tff(8657,plain,
% 48.65/31.74 (![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 48.65/31.74 inference(quant_intro,[status(thm)],[8656])).
% 48.65/31.74 tff(8658,axiom,(![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_8_1_1')).
% 48.65/31.74 tff(8659,plain,
% 48.65/31.74 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 48.65/31.74 inference(modus_ponens,[status(thm)],[8658, 8657])).
% 48.65/31.74 tff(8660,plain,
% 48.65/31.74 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 48.65/31.74 inference(modus_ponens,[status(thm)],[8659, 8655])).
% 48.65/31.74 tff(8661,plain,(
% 48.65/31.74 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 48.65/31.74 inference(skolemize,[status(sab)],[8660])).
% 48.65/31.74 tff(8662,plain,
% 48.65/31.74 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))),
% 48.65/31.74 inference(modus_ponens,[status(thm)],[8661, 8654])).
% 48.65/31.74 tff(8663,plain,
% 48.65/31.74 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB61, bitIndex0)) | v88(constB61, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB61, bitIndex0)) | v88(constB61, bitIndex0))),
% 48.65/31.74 inference(rewrite,[status(thm)],[])).
% 48.65/31.74 tff(8664,plain,
% 48.65/31.74 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB61, bitIndex0)) | v88(constB61, bitIndex0))),
% 48.65/31.74 inference(quant_inst,[status(thm)],[])).
% 48.65/31.74 tff(8665,plain,
% 48.65/31.74 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB61, bitIndex0)) | v88(constB61, bitIndex0)),
% 48.65/31.74 inference(modus_ponens,[status(thm)],[8664, 8663])).
% 48.65/31.74 tff(8666,plain,
% 48.65/31.74 (v88(constB61, bitIndex0)),
% 48.65/31.74 inference(unit_resolution,[status(thm)],[8665, 8662, 8652])).
% 48.65/31.74 tff(8667,plain,
% 48.65/31.74 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB59)) | v130(constB59, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB59)) | v130(constB59, bitIndex1))),
% 48.65/31.74 inference(rewrite,[status(thm)],[])).
% 48.65/31.74 tff(8668,plain,
% 48.65/31.74 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB59)) | v130(constB59, bitIndex1))),
% 48.65/31.74 inference(quant_inst,[status(thm)],[])).
% 48.65/31.74 tff(8669,plain,
% 48.65/31.74 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB59)) | v130(constB59, bitIndex1)),
% 48.65/31.74 inference(modus_ponens,[status(thm)],[8668, 8667])).
% 48.65/31.74 tff(8670,plain,
% 48.65/31.74 (v130(constB59, bitIndex1)),
% 48.65/31.74 inference(unit_resolution,[status(thm)],[8669, 1707, 8537])).
% 48.65/31.74 tff(8671,plain,
% 48.65/31.74 (((~![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))),
% 48.65/31.74 inference(rewrite,[status(thm)],[])).
% 48.65/31.74 tff(8672,plain,
% 48.65/31.74 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB59) | (~v130(constB59, bitIndex1)) | v127(constB59, bitIndex1))),
% 48.65/31.74 inference(quant_inst,[status(thm)],[])).
% 48.65/31.74 tff(8673,plain,
% 48.65/31.74 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB59) | (~v130(constB59, bitIndex1)) | v127(constB59, bitIndex1)),
% 48.65/31.74 inference(modus_ponens,[status(thm)],[8672, 8671])).
% 48.65/31.74 tff(8674,plain,
% 48.65/31.74 (v26(constB59) | v127(constB59, bitIndex1)),
% 48.65/31.74 inference(unit_resolution,[status(thm)],[8673, 681, 8670])).
% 48.65/31.74 tff(8675,plain,
% 48.65/31.74 (v127(constB59, bitIndex1)),
% 48.65/31.74 inference(unit_resolution,[status(thm)],[8674, 19])).
% 48.65/31.74 tff(8676,plain,
% 48.65/31.74 (((~![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))),
% 48.65/31.74 inference(rewrite,[status(thm)],[])).
% 48.65/31.74 tff(8677,plain,
% 48.65/31.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB59, constB60)) | (~v127(constB59, bitIndex1)) | v129(constB60, bitIndex1))),
% 48.65/31.74 inference(quant_inst,[status(thm)],[])).
% 48.65/31.74 tff(8678,plain,
% 48.65/31.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB59, constB60)) | (~v127(constB59, bitIndex1)) | v129(constB60, bitIndex1)),
% 48.65/31.74 inference(modus_ponens,[status(thm)],[8677, 8676])).
% 48.65/31.74 tff(8679,plain,
% 48.65/31.74 ((~v127(constB59, bitIndex1)) | v129(constB60, bitIndex1)),
% 48.65/31.74 inference(unit_resolution,[status(thm)],[8678, 696, 8569])).
% 48.65/31.74 tff(8680,plain,
% 48.65/31.74 (v129(constB60, bitIndex1)),
% 48.65/31.74 inference(unit_resolution,[status(thm)],[8679, 8675])).
% 48.65/31.74 tff(8681,plain,
% 48.65/31.74 (((~![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)))),
% 48.65/31.74 inference(rewrite,[status(thm)],[])).
% 48.65/31.74 tff(8682,plain,
% 48.65/31.74 ((v90(constB60, bitIndex1) | (~v100(constB60)) | (~v129(constB60, bitIndex1))) <=> (v90(constB60, bitIndex1) | (~v129(constB60, bitIndex1)) | (~v100(constB60)))),
% 48.65/31.74 inference(rewrite,[status(thm)],[])).
% 48.65/31.74 tff(8683,plain,
% 48.65/31.74 (((~![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))))),
% 48.65/31.74 inference(monotonicity,[status(thm)],[8682])).
% 48.65/31.74 tff(8684,plain,
% 48.65/31.74 (((~![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)))),
% 48.65/31.74 inference(transitivity,[status(thm)],[8683, 8681])).
% 48.65/31.74 tff(8685,plain,
% 48.65/31.74 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB60, bitIndex1) | (~v100(constB60)) | (~v129(constB60, bitIndex1)))),
% 48.65/31.74 inference(quant_inst,[status(thm)],[])).
% 48.65/31.74 tff(8686,plain,
% 48.65/31.74 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB60, bitIndex1) | (~v129(constB60, bitIndex1)) | (~v100(constB60))),
% 48.65/31.74 inference(modus_ponens,[status(thm)],[8685, 8684])).
% 48.65/31.74 tff(8687,plain,
% 48.65/31.74 (v90(constB60, bitIndex1) | (~v100(constB60))),
% 48.65/31.74 inference(unit_resolution,[status(thm)],[8686, 711, 8680])).
% 48.65/31.74 tff(8688,plain,
% 48.65/31.74 (v90(constB60, bitIndex1)),
% 48.65/31.74 inference(unit_resolution,[status(thm)],[8687, 8603])).
% 48.65/31.74 tff(8689,plain,
% 48.65/31.74 (((~![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))),
% 48.65/31.74 inference(rewrite,[status(thm)],[])).
% 48.65/31.74 tff(8690,plain,
% 48.65/31.74 (((~nextState(constB60, constB61)) | (~v90(constB60, bitIndex1)) | v100(constB61) | v90(constB61, bitIndex1)) <=> ((~v90(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, bitIndex1))),
% 48.65/31.74 inference(rewrite,[status(thm)],[])).
% 48.65/31.74 tff(8691,plain,
% 48.65/31.74 (((~![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)))),
% 48.65/31.74 inference(monotonicity,[status(thm)],[8690])).
% 48.65/31.74 tff(8692,plain,
% 48.65/31.74 (((~![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))),
% 48.65/31.75 inference(transitivity,[status(thm)],[8691, 8689])).
% 48.65/31.75 tff(8693,plain,
% 48.65/31.75 ((~![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))),
% 48.65/31.75 inference(quant_inst,[status(thm)],[])).
% 48.65/31.75 tff(8694,plain,
% 48.65/31.75 ((~![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)),
% 48.65/31.75 inference(modus_ponens,[status(thm)],[8693, 8692])).
% 48.65/31.75 tff(8695,plain,
% 48.65/31.75 ((~v90(constB60, bitIndex1)) | v100(constB61) | v90(constB61, bitIndex1)),
% 48.65/31.75 inference(unit_resolution,[status(thm)],[8694, 747, 8631])).
% 48.65/31.75 tff(8696,plain,
% 48.65/31.75 ((~v90(constB60, bitIndex1)) | v90(constB61, bitIndex1)),
% 48.65/31.75 inference(unit_resolution,[status(thm)],[8695, 8643])).
% 48.65/31.75 tff(8697,plain,
% 48.65/31.75 (v90(constB61, bitIndex1)),
% 48.65/31.75 inference(unit_resolution,[status(thm)],[8696, 8688])).
% 48.65/31.75 tff(8698,plain,
% 48.65/31.75 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1)) <=> ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1)))),
% 48.65/31.75 inference(bind,[status(th)],[])).
% 48.65/31.75 tff(8699,plain,
% 48.65/31.75 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 48.65/31.75 inference(quant_intro,[status(thm)],[8698])).
% 48.65/31.75 tff(8700,plain,
% 48.65/31.75 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 48.65/31.75 inference(rewrite,[status(thm)],[])).
% 48.65/31.75 tff(8701,plain,
% 48.65/31.75 (^[VarCurr: $i] : rewrite((v88(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex1))) <=> ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1)))),
% 48.65/31.75 inference(bind,[status(th)],[])).
% 48.65/31.75 tff(8702,plain,
% 48.65/31.75 (![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 48.65/31.75 inference(quant_intro,[status(thm)],[8701])).
% 48.65/31.75 tff(8703,axiom,(![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_8_1_3')).
% 48.65/31.75 tff(8704,plain,
% 48.65/31.75 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 48.65/31.75 inference(modus_ponens,[status(thm)],[8703, 8702])).
% 48.65/31.75 tff(8705,plain,
% 48.65/31.75 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 48.65/31.75 inference(modus_ponens,[status(thm)],[8704, 8700])).
% 48.65/31.75 tff(8706,plain,(
% 48.65/31.75 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 48.65/31.75 inference(skolemize,[status(sab)],[8705])).
% 48.65/31.75 tff(8707,plain,
% 48.65/31.75 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))),
% 48.65/31.75 inference(modus_ponens,[status(thm)],[8706, 8699])).
% 48.65/31.75 tff(8708,plain,
% 48.65/31.75 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB61, bitIndex1)) | v88(constB61, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB61, bitIndex1)) | v88(constB61, bitIndex1))),
% 48.65/31.75 inference(rewrite,[status(thm)],[])).
% 48.65/31.75 tff(8709,plain,
% 48.65/31.75 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB61, bitIndex1)) | v88(constB61, bitIndex1))),
% 48.65/31.75 inference(quant_inst,[status(thm)],[])).
% 48.65/31.75 tff(8710,plain,
% 48.65/31.75 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB61, bitIndex1)) | v88(constB61, bitIndex1)),
% 48.65/31.75 inference(modus_ponens,[status(thm)],[8709, 8708])).
% 48.65/31.75 tff(8711,plain,
% 48.65/31.75 (v88(constB61, bitIndex1)),
% 48.65/31.75 inference(unit_resolution,[status(thm)],[8710, 8707, 8697])).
% 48.65/31.75 tff(8712,assumption,(v90(constB60, bitIndex2)), introduced(assumption)).
% 48.65/31.75 tff(8713,plain,
% 48.65/31.75 (((~![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)))),
% 48.65/31.75 inference(rewrite,[status(thm)],[])).
% 48.65/31.75 tff(8714,plain,
% 48.65/31.75 (((~nextState(constB59, constB60)) | v90(constB59, bitIndex2) | v100(constB60) | (~v90(constB60, bitIndex2))) <=> (v90(constB59, bitIndex2) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex2)))),
% 48.65/31.75 inference(rewrite,[status(thm)],[])).
% 48.65/31.75 tff(8715,plain,
% 48.65/31.75 (((~![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))))),
% 48.65/31.75 inference(monotonicity,[status(thm)],[8714])).
% 48.65/31.75 tff(8716,plain,
% 48.65/31.75 (((~![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)))),
% 48.65/31.75 inference(transitivity,[status(thm)],[8715, 8713])).
% 48.65/31.75 tff(8717,plain,
% 48.65/31.75 ((~![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)))),
% 48.65/31.75 inference(quant_inst,[status(thm)],[])).
% 48.65/31.75 tff(8718,plain,
% 48.65/31.75 ((~![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))),
% 48.65/31.75 inference(modus_ponens,[status(thm)],[8717, 8716])).
% 48.65/31.75 tff(8719,plain,
% 48.65/31.75 (v90(constB59, bitIndex2) | v100(constB60) | (~v90(constB60, bitIndex2))),
% 48.65/31.75 inference(unit_resolution,[status(thm)],[8718, 81, 8569])).
% 48.65/31.75 tff(8720,plain,
% 48.65/31.75 (v100(constB60) | (~v90(constB60, bitIndex2))),
% 48.65/31.75 inference(unit_resolution,[status(thm)],[8719, 8468])).
% 48.65/31.75 tff(8721,plain,
% 48.65/31.75 (v100(constB60)),
% 48.65/31.75 inference(unit_resolution,[status(thm)],[8720, 8712])).
% 48.65/31.75 tff(8722,assumption,(v127(constB59, bitIndex2)), introduced(assumption)).
% 48.65/31.75 tff(8723,plain,
% 48.65/31.75 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB59)) | (~v130(constB59, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB59)) | (~v130(constB59, bitIndex2)))),
% 48.65/31.75 inference(rewrite,[status(thm)],[])).
% 48.65/31.75 tff(8724,plain,
% 48.65/31.75 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB59)) | (~v130(constB59, bitIndex2)))),
% 48.65/31.75 inference(quant_inst,[status(thm)],[])).
% 48.65/31.75 tff(8725,plain,
% 48.65/31.75 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB59)) | (~v130(constB59, bitIndex2))),
% 48.65/31.75 inference(modus_ponens,[status(thm)],[8724, 8723])).
% 48.65/31.75 tff(8726,plain,
% 48.65/31.75 (~v130(constB59, bitIndex2)),
% 48.65/31.75 inference(unit_resolution,[status(thm)],[8725, 1645, 8537])).
% 48.65/31.75 tff(8727,plain,
% 48.65/31.75 (((~![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))),
% 48.65/31.75 inference(rewrite,[status(thm)],[])).
% 48.65/31.75 tff(8728,plain,
% 48.65/31.75 ((v26(constB59) | v130(constB59, bitIndex2) | (~v127(constB59, bitIndex2))) <=> ((~v127(constB59, bitIndex2)) | v26(constB59) | v130(constB59, bitIndex2))),
% 48.65/31.75 inference(rewrite,[status(thm)],[])).
% 48.65/31.75 tff(8729,plain,
% 48.65/31.75 (((~![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)))),
% 48.65/31.75 inference(monotonicity,[status(thm)],[8728])).
% 48.65/31.75 tff(8730,plain,
% 48.65/31.75 (((~![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))),
% 48.65/31.75 inference(transitivity,[status(thm)],[8729, 8727])).
% 48.65/31.75 tff(8731,plain,
% 48.65/31.75 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB59) | v130(constB59, bitIndex2) | (~v127(constB59, bitIndex2)))),
% 48.65/31.75 inference(quant_inst,[status(thm)],[])).
% 48.65/31.75 tff(8732,plain,
% 48.65/31.75 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB59, bitIndex2)) | v26(constB59) | v130(constB59, bitIndex2)),
% 48.65/31.75 inference(modus_ponens,[status(thm)],[8731, 8730])).
% 48.65/31.75 tff(8733,plain,
% 48.65/31.75 ((~v127(constB59, bitIndex2)) | v26(constB59)),
% 48.65/31.75 inference(unit_resolution,[status(thm)],[8732, 1210, 8726])).
% 48.65/31.75 tff(8734,plain,
% 48.65/31.75 (v26(constB59)),
% 48.65/31.75 inference(unit_resolution,[status(thm)],[8733, 8722])).
% 48.65/31.75 tff(8735,plain,
% 48.65/31.75 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB59)) | (~v127(constB59, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB59)) | (~v127(constB59, bitIndex2)))),
% 48.65/31.75 inference(rewrite,[status(thm)],[])).
% 48.65/31.75 tff(8736,plain,
% 48.65/31.75 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB59)) | (~v127(constB59, bitIndex2)))),
% 48.65/31.75 inference(quant_inst,[status(thm)],[])).
% 48.65/31.75 tff(8737,plain,
% 48.65/31.75 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB59)) | (~v127(constB59, bitIndex2))),
% 48.65/31.75 inference(modus_ponens,[status(thm)],[8736, 8735])).
% 48.65/31.75 tff(8738,plain,
% 48.65/31.75 ($false),
% 48.65/31.75 inference(unit_resolution,[status(thm)],[8737, 1228, 8722, 8734])).
% 48.65/31.75 tff(8739,plain,(~v127(constB59, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 48.65/31.75 tff(8740,plain,
% 48.65/31.75 (((~![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)))),
% 48.65/31.75 inference(rewrite,[status(thm)],[])).
% 48.65/31.75 tff(8741,plain,
% 48.65/31.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB59, constB60)) | v127(constB59, bitIndex2) | (~v129(constB60, bitIndex2)))),
% 48.65/31.75 inference(quant_inst,[status(thm)],[])).
% 48.65/31.75 tff(8742,plain,
% 48.65/31.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB59, constB60)) | v127(constB59, bitIndex2) | (~v129(constB60, bitIndex2))),
% 48.65/31.75 inference(modus_ponens,[status(thm)],[8741, 8740])).
% 48.65/31.75 tff(8743,plain,
% 48.65/31.75 (v127(constB59, bitIndex2) | (~v129(constB60, bitIndex2))),
% 48.65/31.75 inference(unit_resolution,[status(thm)],[8742, 1243, 8569])).
% 48.65/31.75 tff(8744,plain,
% 48.65/31.75 (~v129(constB60, bitIndex2)),
% 48.65/31.75 inference(unit_resolution,[status(thm)],[8743, 8739])).
% 48.65/31.75 tff(8745,plain,
% 48.65/31.75 (((~![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)))),
% 48.65/31.75 inference(rewrite,[status(thm)],[])).
% 48.65/31.75 tff(8746,plain,
% 48.65/31.75 (((~v90(constB60, bitIndex2)) | (~v100(constB60)) | v129(constB60, bitIndex2)) <=> ((~v90(constB60, bitIndex2)) | v129(constB60, bitIndex2) | (~v100(constB60)))),
% 48.65/31.75 inference(rewrite,[status(thm)],[])).
% 48.65/31.75 tff(8747,plain,
% 48.65/31.75 (((~![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))))),
% 48.65/31.75 inference(monotonicity,[status(thm)],[8746])).
% 48.65/31.75 tff(8748,plain,
% 48.65/31.75 (((~![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)))),
% 48.65/31.75 inference(transitivity,[status(thm)],[8747, 8745])).
% 48.65/31.75 tff(8749,plain,
% 48.65/31.75 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB60, bitIndex2)) | (~v100(constB60)) | v129(constB60, bitIndex2))),
% 48.65/31.75 inference(quant_inst,[status(thm)],[])).
% 48.65/31.75 tff(8750,plain,
% 48.65/31.75 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB60, bitIndex2)) | v129(constB60, bitIndex2) | (~v100(constB60))),
% 48.65/31.75 inference(modus_ponens,[status(thm)],[8749, 8748])).
% 48.65/31.75 tff(8751,plain,
% 48.65/31.75 ((~v90(constB60, bitIndex2)) | (~v100(constB60))),
% 48.65/31.75 inference(unit_resolution,[status(thm)],[8750, 1258, 8744])).
% 48.65/31.75 tff(8752,plain,
% 48.65/31.75 ($false),
% 48.65/31.75 inference(unit_resolution,[status(thm)],[8751, 8721, 8712])).
% 48.65/31.75 tff(8753,plain,(~v90(constB60, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 48.65/31.75 tff(8754,plain,
% 48.65/31.75 (((~![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)))),
% 48.65/31.75 inference(rewrite,[status(thm)],[])).
% 48.65/31.75 tff(8755,plain,
% 48.65/31.75 (((~nextState(constB60, constB61)) | v90(constB60, bitIndex2) | v100(constB61) | (~v90(constB61, bitIndex2))) <=> (v90(constB60, bitIndex2) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex2)))),
% 48.65/31.75 inference(rewrite,[status(thm)],[])).
% 48.65/31.75 tff(8756,plain,
% 48.65/31.75 (((~![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))))),
% 48.65/31.75 inference(monotonicity,[status(thm)],[8755])).
% 48.65/31.75 tff(8757,plain,
% 48.65/31.75 (((~![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)))),
% 48.65/31.75 inference(transitivity,[status(thm)],[8756, 8754])).
% 48.65/31.75 tff(8758,plain,
% 48.65/31.75 ((~![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)))),
% 48.65/31.75 inference(quant_inst,[status(thm)],[])).
% 48.65/31.75 tff(8759,plain,
% 48.65/31.75 ((~![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))),
% 48.65/31.75 inference(modus_ponens,[status(thm)],[8758, 8757])).
% 48.65/31.75 tff(8760,plain,
% 48.65/31.75 (v90(constB60, bitIndex2) | v100(constB61) | (~v90(constB61, bitIndex2))),
% 48.65/31.75 inference(unit_resolution,[status(thm)],[8759, 81, 8631])).
% 48.65/31.75 tff(8761,plain,
% 48.65/31.75 (v90(constB60, bitIndex2) | (~v90(constB61, bitIndex2))),
% 48.65/31.75 inference(unit_resolution,[status(thm)],[8760, 8643])).
% 48.65/31.75 tff(8762,plain,
% 48.65/31.75 (~v90(constB61, bitIndex2)),
% 48.65/31.75 inference(unit_resolution,[status(thm)],[8761, 8753])).
% 48.65/31.75 tff(8763,plain,
% 48.65/31.75 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2))) <=> (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2))))),
% 48.65/31.75 inference(bind,[status(th)],[])).
% 48.65/31.75 tff(8764,plain,
% 48.65/31.75 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))),
% 48.65/31.75 inference(quant_intro,[status(thm)],[8763])).
% 48.65/31.75 tff(8765,plain,
% 48.65/31.75 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))),
% 48.65/31.75 inference(rewrite,[status(thm)],[])).
% 48.65/31.75 tff(8766,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_8_1_6')).
% 48.65/31.75 tff(8767,plain,
% 48.65/31.75 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))),
% 48.65/31.75 inference(modus_ponens,[status(thm)],[8766, 8765])).
% 48.65/31.75 tff(8768,plain,(
% 48.65/31.75 ![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))),
% 48.65/31.75 inference(skolemize,[status(sab)],[8767])).
% 48.65/31.75 tff(8769,plain,
% 48.65/31.75 (![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))),
% 48.65/31.75 inference(modus_ponens,[status(thm)],[8768, 8764])).
% 48.65/31.75 tff(8770,plain,
% 48.65/31.75 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB61, bitIndex2) | (~v88(constB61, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB61, bitIndex2) | (~v88(constB61, bitIndex2)))),
% 48.65/31.75 inference(rewrite,[status(thm)],[])).
% 48.65/31.75 tff(8771,plain,
% 48.65/31.75 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB61, bitIndex2) | (~v88(constB61, bitIndex2)))),
% 48.65/31.75 inference(quant_inst,[status(thm)],[])).
% 48.65/31.75 tff(8772,plain,
% 48.65/31.75 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB61, bitIndex2) | (~v88(constB61, bitIndex2))),
% 48.65/31.75 inference(modus_ponens,[status(thm)],[8771, 8770])).
% 48.65/31.75 tff(8773,plain,
% 48.65/31.75 (~v88(constB61, bitIndex2)),
% 48.65/31.75 inference(unit_resolution,[status(thm)],[8772, 8769, 8762])).
% 48.65/31.75 tff(8774,plain,
% 48.65/31.75 (^[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)))),
% 48.65/31.75 inference(bind,[status(th)],[])).
% 48.65/31.75 tff(8775,plain,
% 48.65/31.75 (![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))),
% 48.65/31.75 inference(quant_intro,[status(thm)],[8774])).
% 48.65/31.75 tff(8776,plain,
% 48.65/31.75 (![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))),
% 48.65/31.75 inference(rewrite,[status(thm)],[])).
% 48.65/31.75 tff(8777,plain,
% 48.65/31.75 (^[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))))),
% 48.65/31.75 inference(bind,[status(th)],[])).
% 48.65/31.75 tff(8778,plain,
% 48.65/31.75 (![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))),
% 48.65/31.75 inference(quant_intro,[status(thm)],[8777])).
% 48.65/31.75 tff(8779,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')).
% 48.65/31.75 tff(8780,plain,
% 48.65/31.75 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 48.65/31.75 inference(modus_ponens,[status(thm)],[8779, 8778])).
% 48.65/31.75 tff(8781,plain,
% 48.65/31.75 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 48.65/31.75 inference(modus_ponens,[status(thm)],[8780, 8776])).
% 48.65/31.75 tff(8782,plain,(
% 48.65/31.75 ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 48.65/31.75 inference(skolemize,[status(sab)],[8781])).
% 48.65/31.75 tff(8783,plain,
% 48.65/31.75 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))),
% 48.65/31.75 inference(modus_ponens,[status(thm)],[8782, 8775])).
% 48.65/31.75 tff(8784,plain,
% 48.65/31.75 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB61, bitIndex2) | (~v88(constB61, bitIndex0)) | (~v88(constB61, bitIndex1)) | v141(constB61))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB61, bitIndex2) | (~v88(constB61, bitIndex0)) | (~v88(constB61, bitIndex1)) | v141(constB61))),
% 48.65/31.75 inference(rewrite,[status(thm)],[])).
% 48.65/31.75 tff(8785,plain,
% 48.65/31.75 ((v88(constB61, bitIndex2) | (~v88(constB61, bitIndex1)) | (~v88(constB61, bitIndex0)) | v141(constB61)) <=> (v88(constB61, bitIndex2) | (~v88(constB61, bitIndex0)) | (~v88(constB61, bitIndex1)) | v141(constB61))),
% 48.65/31.75 inference(rewrite,[status(thm)],[])).
% 48.65/31.75 tff(8786,plain,
% 48.65/31.75 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB61, bitIndex2) | (~v88(constB61, bitIndex1)) | (~v88(constB61, bitIndex0)) | v141(constB61))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB61, bitIndex2) | (~v88(constB61, bitIndex0)) | (~v88(constB61, bitIndex1)) | v141(constB61)))),
% 48.65/31.75 inference(monotonicity,[status(thm)],[8785])).
% 48.65/31.75 tff(8787,plain,
% 48.65/31.75 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB61, bitIndex2) | (~v88(constB61, bitIndex1)) | (~v88(constB61, bitIndex0)) | v141(constB61))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB61, bitIndex2) | (~v88(constB61, bitIndex0)) | (~v88(constB61, bitIndex1)) | v141(constB61))),
% 48.65/31.75 inference(transitivity,[status(thm)],[8786, 8784])).
% 48.65/31.75 tff(8788,plain,
% 48.65/31.75 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB61, bitIndex2) | (~v88(constB61, bitIndex1)) | (~v88(constB61, bitIndex0)) | v141(constB61))),
% 48.65/31.75 inference(quant_inst,[status(thm)],[])).
% 48.65/31.75 tff(8789,plain,
% 48.65/31.75 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB61, bitIndex2) | (~v88(constB61, bitIndex0)) | (~v88(constB61, bitIndex1)) | v141(constB61)),
% 48.65/31.75 inference(modus_ponens,[status(thm)],[8788, 8787])).
% 48.65/31.75 tff(8790,plain,
% 48.65/31.75 ((~v88(constB61, bitIndex0)) | (~v88(constB61, bitIndex1)) | v141(constB61)),
% 48.65/31.75 inference(unit_resolution,[status(thm)],[8789, 8783, 8773])).
% 48.65/31.75 tff(8791,plain,
% 48.65/31.75 (v141(constB61)),
% 48.65/31.75 inference(unit_resolution,[status(thm)],[8790, 8711, 8666])).
% 48.65/31.75 tff(8792,plain,
% 48.65/31.75 (^[VarCurr: $i] : refl((v199(VarCurr) | (~v141(VarCurr))) <=> (v199(VarCurr) | (~v141(VarCurr))))),
% 48.65/31.75 inference(bind,[status(th)],[])).
% 48.65/31.75 tff(8793,plain,
% 48.65/31.75 (![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr))) <=> ![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))),
% 48.65/31.75 inference(quant_intro,[status(thm)],[8792])).
% 48.65/31.75 tff(8794,plain,
% 48.65/31.75 (![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr))) <=> ![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))),
% 48.65/31.75 inference(rewrite,[status(thm)],[])).
% 48.65/31.75 tff(8795,axiom,(![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_49_1_1_2')).
% 48.65/31.75 tff(8796,plain,
% 48.65/31.75 (![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))),
% 48.65/31.75 inference(modus_ponens,[status(thm)],[8795, 8794])).
% 48.65/31.75 tff(8797,plain,(
% 48.65/31.75 ![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))),
% 48.65/31.75 inference(skolemize,[status(sab)],[8796])).
% 48.65/31.75 tff(8798,plain,
% 48.65/31.75 (![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))),
% 48.65/31.75 inference(modus_ponens,[status(thm)],[8797, 8793])).
% 48.65/31.75 tff(8799,plain,
% 48.65/31.75 (((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB61) | (~v141(constB61)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB61) | (~v141(constB61)))),
% 48.65/31.75 inference(rewrite,[status(thm)],[])).
% 48.65/31.75 tff(8800,plain,
% 48.65/31.75 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB61) | (~v141(constB61)))),
% 48.65/31.75 inference(quant_inst,[status(thm)],[])).
% 48.65/31.75 tff(8801,plain,
% 48.65/31.75 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB61) | (~v141(constB61))),
% 48.65/31.75 inference(modus_ponens,[status(thm)],[8800, 8799])).
% 48.65/31.75 tff(8802,plain,
% 48.65/31.75 (v199(constB61)),
% 48.65/31.75 inference(unit_resolution,[status(thm)],[8801, 8798, 8791])).
% 48.65/31.75 tff(8803,plain,
% 48.65/31.75 (^[VarCurr: $i] : refl((v198(VarCurr) | (~v199(VarCurr))) <=> (v198(VarCurr) | (~v199(VarCurr))))),
% 48.65/31.75 inference(bind,[status(th)],[])).
% 48.65/31.75 tff(8804,plain,
% 48.65/31.75 (![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr))) <=> ![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))),
% 48.65/31.75 inference(quant_intro,[status(thm)],[8803])).
% 48.65/31.75 tff(8805,plain,
% 48.65/31.75 (![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr))) <=> ![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))),
% 48.65/31.75 inference(rewrite,[status(thm)],[])).
% 48.65/31.75 tff(8806,axiom,(![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_50_1_1_1')).
% 48.65/31.75 tff(8807,plain,
% 48.65/31.75 (![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))),
% 48.65/31.75 inference(modus_ponens,[status(thm)],[8806, 8805])).
% 48.65/31.75 tff(8808,plain,(
% 48.65/31.75 ![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))),
% 48.65/31.75 inference(skolemize,[status(sab)],[8807])).
% 48.65/31.75 tff(8809,plain,
% 48.65/31.75 (![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))),
% 48.65/31.75 inference(modus_ponens,[status(thm)],[8808, 8804])).
% 48.65/31.75 tff(8810,plain,
% 48.65/31.75 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB61) | (~v199(constB61)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB61) | (~v199(constB61)))),
% 48.65/31.75 inference(rewrite,[status(thm)],[])).
% 48.65/31.75 tff(8811,plain,
% 48.65/31.75 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB61) | (~v199(constB61)))),
% 48.65/31.75 inference(quant_inst,[status(thm)],[])).
% 48.65/31.75 tff(8812,plain,
% 48.65/31.75 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB61) | (~v199(constB61))),
% 48.65/31.75 inference(modus_ponens,[status(thm)],[8811, 8810])).
% 48.65/31.75 tff(8813,plain,
% 48.65/31.75 (v198(constB61)),
% 48.65/31.75 inference(unit_resolution,[status(thm)],[8812, 8809, 8802])).
% 48.65/31.75 tff(8814,plain,
% 48.65/31.75 (^[VarCurr: $i] : refl(((~v198(VarCurr)) | (~v201(VarCurr))) <=> ((~v198(VarCurr)) | (~v201(VarCurr))))),
% 48.65/31.75 inference(bind,[status(th)],[])).
% 48.65/31.75 tff(8815,plain,
% 48.65/31.75 (![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr))) <=> ![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))),
% 48.65/31.75 inference(quant_intro,[status(thm)],[8814])).
% 48.65/31.75 tff(8816,plain,
% 48.65/31.75 (![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr))) <=> ![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))),
% 48.65/31.75 inference(rewrite,[status(thm)],[])).
% 48.65/31.75 tff(8817,plain,
% 48.65/31.75 (^[VarCurr: $i] : rewrite(((~v201(VarCurr)) | (~v198(VarCurr))) <=> ((~v198(VarCurr)) | (~v201(VarCurr))))),
% 48.65/31.75 inference(bind,[status(th)],[])).
% 48.65/31.75 tff(8818,plain,
% 48.65/31.75 (![VarCurr: $i] : ((~v201(VarCurr)) | (~v198(VarCurr))) <=> ![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))),
% 48.65/31.75 inference(quant_intro,[status(thm)],[8817])).
% 48.65/31.75 tff(8819,axiom,(![VarCurr: $i] : ((~v201(VarCurr)) | (~v198(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_5_1_1_1')).
% 48.65/31.75 tff(8820,plain,
% 48.65/31.75 (![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))),
% 48.65/31.75 inference(modus_ponens,[status(thm)],[8819, 8818])).
% 48.65/31.75 tff(8821,plain,
% 48.65/31.75 (![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))),
% 48.65/31.75 inference(modus_ponens,[status(thm)],[8820, 8816])).
% 48.65/31.75 tff(8822,plain,(
% 48.65/31.75 ![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))),
% 48.65/31.75 inference(skolemize,[status(sab)],[8821])).
% 48.65/31.75 tff(8823,plain,
% 48.65/31.75 (![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))),
% 48.65/31.75 inference(modus_ponens,[status(thm)],[8822, 8815])).
% 48.65/31.75 tff(8824,plain,
% 48.65/31.75 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB61)) | (~v201(constB61)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB61)) | (~v201(constB61)))),
% 48.65/31.75 inference(rewrite,[status(thm)],[])).
% 48.65/31.75 tff(8825,plain,
% 48.65/31.75 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB61)) | (~v201(constB61)))),
% 48.65/31.75 inference(quant_inst,[status(thm)],[])).
% 48.65/31.75 tff(8826,plain,
% 48.65/31.75 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB61)) | (~v201(constB61))),
% 48.65/31.75 inference(modus_ponens,[status(thm)],[8825, 8824])).
% 48.65/31.75 tff(8827,plain,
% 48.65/31.75 (~v201(constB61)),
% 48.65/31.75 inference(unit_resolution,[status(thm)],[8826, 8823, 8813])).
% 48.65/31.75 tff(8828,plain,
% 48.65/31.75 (^[VarCurr: $i] : refl((v197(VarCurr) | (~v198(VarCurr))) <=> (v197(VarCurr) | (~v198(VarCurr))))),
% 48.65/31.75 inference(bind,[status(th)],[])).
% 48.65/31.75 tff(8829,plain,
% 48.65/31.75 (![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr))) <=> ![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))),
% 48.65/31.75 inference(quant_intro,[status(thm)],[8828])).
% 48.65/31.75 tff(8830,plain,
% 48.65/31.75 (![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr))) <=> ![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))),
% 48.65/31.75 inference(rewrite,[status(thm)],[])).
% 48.65/31.75 tff(8831,axiom,(![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_51_1_1_1')).
% 48.65/31.75 tff(8832,plain,
% 48.65/31.75 (![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))),
% 48.65/31.75 inference(modus_ponens,[status(thm)],[8831, 8830])).
% 48.65/31.75 tff(8833,plain,(
% 48.65/31.75 ![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))),
% 48.65/31.75 inference(skolemize,[status(sab)],[8832])).
% 48.65/31.75 tff(8834,plain,
% 48.65/31.75 (![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))),
% 48.65/31.75 inference(modus_ponens,[status(thm)],[8833, 8829])).
% 48.65/31.75 tff(8835,plain,
% 48.65/31.75 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB61) | (~v198(constB61)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB61) | (~v198(constB61)))),
% 48.65/31.75 inference(rewrite,[status(thm)],[])).
% 48.65/31.75 tff(8836,plain,
% 48.65/31.75 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB61) | (~v198(constB61)))),
% 48.65/31.75 inference(quant_inst,[status(thm)],[])).
% 48.65/31.75 tff(8837,plain,
% 48.65/31.75 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB61) | (~v198(constB61))),
% 48.65/31.75 inference(modus_ponens,[status(thm)],[8836, 8835])).
% 48.65/31.75 tff(8838,plain,
% 48.65/31.75 (v197(constB61)),
% 48.65/31.75 inference(unit_resolution,[status(thm)],[8837, 8834, 8813])).
% 48.65/31.75 tff(8839,plain,
% 48.65/31.75 (^[VarNext: $i] : refl(((~v197(VarNext)) | v201(VarNext) | v227(VarNext)) <=> ((~v197(VarNext)) | v201(VarNext) | v227(VarNext)))),
% 48.65/31.75 inference(bind,[status(th)],[])).
% 48.65/31.75 tff(8840,plain,
% 48.65/31.75 (![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext)) <=> ![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))),
% 48.65/31.75 inference(quant_intro,[status(thm)],[8839])).
% 48.65/31.75 tff(8841,plain,
% 48.65/31.75 (![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext)) <=> ![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))),
% 48.65/31.75 inference(rewrite,[status(thm)],[])).
% 48.65/31.75 tff(8842,plain,
% 48.65/31.75 (^[VarNext: $i] : rewrite(((v201(VarNext) | v227(VarNext)) | (~v197(VarNext))) <=> ((~v197(VarNext)) | v201(VarNext) | v227(VarNext)))),
% 48.65/31.75 inference(bind,[status(th)],[])).
% 48.65/31.75 tff(8843,plain,
% 48.65/31.75 (![VarNext: $i] : ((v201(VarNext) | v227(VarNext)) | (~v197(VarNext))) <=> ![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))),
% 48.65/31.75 inference(quant_intro,[status(thm)],[8842])).
% 48.65/31.75 tff(8844,axiom,(![VarNext: $i] : ((v201(VarNext) | v227(VarNext)) | (~v197(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_7_1_2')).
% 48.65/31.75 tff(8845,plain,
% 48.65/31.75 (![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))),
% 48.65/31.75 inference(modus_ponens,[status(thm)],[8844, 8843])).
% 48.65/31.75 tff(8846,plain,
% 48.65/31.75 (![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))),
% 48.65/31.75 inference(modus_ponens,[status(thm)],[8845, 8841])).
% 48.65/31.75 tff(8847,plain,(
% 48.65/31.75 ![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))),
% 48.65/31.75 inference(skolemize,[status(sab)],[8846])).
% 48.65/31.75 tff(8848,plain,
% 48.65/31.75 (![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))),
% 48.65/31.75 inference(modus_ponens,[status(thm)],[8847, 8840])).
% 48.65/31.75 tff(8849,plain,
% 48.65/31.75 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB61) | (~v197(constB61)) | v201(constB61))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB61) | (~v197(constB61)) | v201(constB61))),
% 48.65/31.75 inference(rewrite,[status(thm)],[])).
% 48.65/31.75 tff(8850,plain,
% 48.65/31.75 (((~v197(constB61)) | v201(constB61) | v227(constB61)) <=> (v227(constB61) | (~v197(constB61)) | v201(constB61))),
% 48.65/31.75 inference(rewrite,[status(thm)],[])).
% 48.65/31.75 tff(8851,plain,
% 48.65/31.75 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB61)) | v201(constB61) | v227(constB61))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB61) | (~v197(constB61)) | v201(constB61)))),
% 48.65/31.75 inference(monotonicity,[status(thm)],[8850])).
% 48.65/31.75 tff(8852,plain,
% 48.65/31.75 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB61)) | v201(constB61) | v227(constB61))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB61) | (~v197(constB61)) | v201(constB61))),
% 48.65/31.75 inference(transitivity,[status(thm)],[8851, 8849])).
% 48.65/31.75 tff(8853,plain,
% 48.65/31.75 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB61)) | v201(constB61) | v227(constB61))),
% 48.65/31.75 inference(quant_inst,[status(thm)],[])).
% 48.65/31.75 tff(8854,plain,
% 48.65/31.75 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB61) | (~v197(constB61)) | v201(constB61)),
% 48.65/31.75 inference(modus_ponens,[status(thm)],[8853, 8852])).
% 48.65/31.75 tff(8855,plain,
% 48.65/31.75 (v227(constB61)),
% 48.65/31.75 inference(unit_resolution,[status(thm)],[8854, 8848, 8838, 8827])).
% 48.65/31.75 tff(8856,plain,
% 48.65/31.75 (^[VarCurr: $i] : refl(((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0))) <=> ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0))))),
% 48.65/31.76 inference(bind,[status(th)],[])).
% 48.65/31.76 tff(8857,plain,
% 48.65/31.76 (![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))),
% 48.65/31.76 inference(quant_intro,[status(thm)],[8856])).
% 48.65/31.76 tff(8858,plain,
% 48.65/31.76 (![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))),
% 48.65/31.76 inference(rewrite,[status(thm)],[])).
% 48.65/31.76 tff(8859,axiom,(![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_15_1_1')).
% 48.65/31.76 tff(8860,plain,
% 48.65/31.76 (![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[8859, 8858])).
% 48.65/31.76 tff(8861,plain,(
% 48.65/31.76 ![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))),
% 48.65/31.76 inference(skolemize,[status(sab)],[8860])).
% 48.65/31.76 tff(8862,plain,
% 48.65/31.76 (![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[8861, 8857])).
% 48.65/31.76 tff(8863,plain,
% 48.65/31.76 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB61)) | (~v223(constB61, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB61)) | (~v223(constB61, bitIndex0)))),
% 48.65/31.76 inference(rewrite,[status(thm)],[])).
% 48.65/31.76 tff(8864,plain,
% 48.65/31.76 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB61)) | (~v223(constB61, bitIndex0)))),
% 48.65/31.76 inference(quant_inst,[status(thm)],[])).
% 48.65/31.76 tff(8865,plain,
% 48.65/31.76 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB61)) | (~v223(constB61, bitIndex0))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[8864, 8863])).
% 48.65/31.76 tff(8866,plain,
% 48.65/31.76 (~v223(constB61, bitIndex0)),
% 48.65/31.76 inference(unit_resolution,[status(thm)],[8865, 8862, 8855])).
% 48.65/31.76 tff(8867,plain,
% 48.65/31.76 (^[VarCurr: $i] : refl(((~v183(VarCurr)) | (~v199(VarCurr))) <=> ((~v183(VarCurr)) | (~v199(VarCurr))))),
% 48.65/31.76 inference(bind,[status(th)],[])).
% 48.65/31.76 tff(8868,plain,
% 48.65/31.76 (![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr))) <=> ![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))),
% 48.65/31.76 inference(quant_intro,[status(thm)],[8867])).
% 48.65/31.76 tff(8869,plain,
% 48.65/31.76 (![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr))) <=> ![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))),
% 48.65/31.76 inference(rewrite,[status(thm)],[])).
% 48.65/31.76 tff(8870,axiom,(![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_4_1_1_1')).
% 48.65/31.76 tff(8871,plain,
% 48.65/31.76 (![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[8870, 8869])).
% 48.65/31.76 tff(8872,plain,(
% 48.65/31.76 ![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))),
% 48.65/31.76 inference(skolemize,[status(sab)],[8871])).
% 48.65/31.76 tff(8873,plain,
% 48.65/31.76 (![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[8872, 8868])).
% 48.65/31.76 tff(8874,plain,
% 48.65/31.76 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB61)) | (~v199(constB61)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB61)) | (~v199(constB61)))),
% 48.65/31.76 inference(rewrite,[status(thm)],[])).
% 48.65/31.76 tff(8875,plain,
% 48.65/31.76 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB61)) | (~v199(constB61)))),
% 48.65/31.76 inference(quant_inst,[status(thm)],[])).
% 48.65/31.76 tff(8876,plain,
% 48.65/31.76 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB61)) | (~v199(constB61))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[8875, 8874])).
% 48.65/31.76 tff(8877,plain,
% 48.65/31.76 (~v183(constB61)),
% 48.65/31.76 inference(unit_resolution,[status(thm)],[8876, 8873, 8802])).
% 48.65/31.76 tff(8878,plain,
% 48.65/31.76 (^[VarNext: $i] : refl(((~v197(VarNext)) | v183(VarNext) | v228(VarNext)) <=> ((~v197(VarNext)) | v183(VarNext) | v228(VarNext)))),
% 48.65/31.76 inference(bind,[status(th)],[])).
% 48.65/31.76 tff(8879,plain,
% 48.65/31.76 (![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext)) <=> ![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))),
% 48.65/31.76 inference(quant_intro,[status(thm)],[8878])).
% 48.65/31.76 tff(8880,plain,
% 48.65/31.76 (![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext)) <=> ![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))),
% 48.65/31.76 inference(rewrite,[status(thm)],[])).
% 48.65/31.76 tff(8881,plain,
% 48.65/31.76 (^[VarNext: $i] : rewrite(((v183(VarNext) | v228(VarNext)) | (~v197(VarNext))) <=> ((~v197(VarNext)) | v183(VarNext) | v228(VarNext)))),
% 48.65/31.76 inference(bind,[status(th)],[])).
% 48.65/31.76 tff(8882,plain,
% 48.65/31.76 (![VarNext: $i] : ((v183(VarNext) | v228(VarNext)) | (~v197(VarNext))) <=> ![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))),
% 48.65/31.76 inference(quant_intro,[status(thm)],[8881])).
% 48.65/31.76 tff(8883,axiom,(![VarNext: $i] : ((v183(VarNext) | v228(VarNext)) | (~v197(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_6_1_2')).
% 48.65/31.76 tff(8884,plain,
% 48.65/31.76 (![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[8883, 8882])).
% 48.65/31.76 tff(8885,plain,
% 48.65/31.76 (![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[8884, 8880])).
% 48.65/31.76 tff(8886,plain,(
% 48.65/31.76 ![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))),
% 48.65/31.76 inference(skolemize,[status(sab)],[8885])).
% 48.65/31.76 tff(8887,plain,
% 48.65/31.76 (![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[8886, 8879])).
% 48.65/31.76 tff(8888,plain,
% 48.65/31.76 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB61) | (~v197(constB61)) | v183(constB61))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB61) | (~v197(constB61)) | v183(constB61))),
% 48.65/31.76 inference(rewrite,[status(thm)],[])).
% 48.65/31.76 tff(8889,plain,
% 48.65/31.76 (((~v197(constB61)) | v183(constB61) | v228(constB61)) <=> (v228(constB61) | (~v197(constB61)) | v183(constB61))),
% 48.65/31.76 inference(rewrite,[status(thm)],[])).
% 48.65/31.76 tff(8890,plain,
% 48.65/31.76 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB61)) | v183(constB61) | v228(constB61))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB61) | (~v197(constB61)) | v183(constB61)))),
% 48.65/31.76 inference(monotonicity,[status(thm)],[8889])).
% 48.65/31.76 tff(8891,plain,
% 48.65/31.76 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB61)) | v183(constB61) | v228(constB61))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB61) | (~v197(constB61)) | v183(constB61))),
% 48.65/31.76 inference(transitivity,[status(thm)],[8890, 8888])).
% 48.65/31.76 tff(8892,plain,
% 48.65/31.76 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB61)) | v183(constB61) | v228(constB61))),
% 48.65/31.76 inference(quant_inst,[status(thm)],[])).
% 48.65/31.76 tff(8893,plain,
% 48.65/31.76 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB61) | (~v197(constB61)) | v183(constB61)),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[8892, 8891])).
% 48.65/31.76 tff(8894,plain,
% 48.65/31.76 (v228(constB61)),
% 48.65/31.76 inference(unit_resolution,[status(thm)],[8893, 8887, 8838, 8877])).
% 48.65/31.76 tff(8895,plain,
% 48.65/31.76 (^[VarCurr: $i] : refl(((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1))) <=> ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1))))),
% 48.65/31.76 inference(bind,[status(th)],[])).
% 48.65/31.76 tff(8896,plain,
% 48.65/31.76 (![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))),
% 48.65/31.76 inference(quant_intro,[status(thm)],[8895])).
% 48.65/31.76 tff(8897,plain,
% 48.65/31.76 (![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))),
% 48.65/31.76 inference(rewrite,[status(thm)],[])).
% 48.65/31.76 tff(8898,axiom,(![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_16_1_1')).
% 48.65/31.76 tff(8899,plain,
% 48.65/31.76 (![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[8898, 8897])).
% 48.65/31.76 tff(8900,plain,(
% 48.65/31.76 ![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))),
% 48.65/31.76 inference(skolemize,[status(sab)],[8899])).
% 48.65/31.76 tff(8901,plain,
% 48.65/31.76 (![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[8900, 8896])).
% 48.65/31.76 tff(8902,plain,
% 48.65/31.76 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB61)) | (~v223(constB61, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB61)) | (~v223(constB61, bitIndex1)))),
% 48.65/31.76 inference(rewrite,[status(thm)],[])).
% 48.65/31.76 tff(8903,plain,
% 48.65/31.76 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB61)) | (~v223(constB61, bitIndex1)))),
% 48.65/31.76 inference(quant_inst,[status(thm)],[])).
% 48.65/31.76 tff(8904,plain,
% 48.65/31.76 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB61)) | (~v223(constB61, bitIndex1))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[8903, 8902])).
% 48.65/31.76 tff(8905,plain,
% 48.65/31.76 (~v223(constB61, bitIndex1)),
% 48.65/31.76 inference(unit_resolution,[status(thm)],[8904, 8901, 8894])).
% 48.65/31.76 tff(8906,plain,
% 48.65/31.76 (^[VarCurr: $i] : refl((v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr))) <=> (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr))))),
% 48.65/31.76 inference(bind,[status(th)],[])).
% 48.65/31.76 tff(8907,plain,
% 48.65/31.76 (![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr))) <=> ![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))),
% 48.65/31.76 inference(quant_intro,[status(thm)],[8906])).
% 48.65/31.76 tff(8908,plain,
% 48.65/31.76 (![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr))) <=> ![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))),
% 48.65/31.76 inference(rewrite,[status(thm)],[])).
% 48.65/31.76 tff(8909,plain,
% 48.65/31.76 (^[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)))))),
% 48.65/31.76 inference(bind,[status(th)],[])).
% 48.65/31.76 tff(8910,plain,
% 48.65/31.76 (![VarCurr: $i] : ((v223(VarCurr, bitIndex1) | v223(VarCurr, bitIndex0)) | (~v229(VarCurr))) <=> ![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))),
% 48.65/31.76 inference(quant_intro,[status(thm)],[8909])).
% 48.65/31.76 tff(8911,axiom,(![VarCurr: $i] : ((v223(VarCurr, bitIndex1) | v223(VarCurr, bitIndex0)) | (~v229(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_56_1_3')).
% 48.65/31.76 tff(8912,plain,
% 48.65/31.76 (![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[8911, 8910])).
% 48.65/31.76 tff(8913,plain,
% 48.65/31.76 (![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[8912, 8908])).
% 48.65/31.76 tff(8914,plain,(
% 48.65/31.76 ![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))),
% 48.65/31.76 inference(skolemize,[status(sab)],[8913])).
% 48.65/31.76 tff(8915,plain,
% 48.65/31.76 (![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[8914, 8907])).
% 48.65/31.76 tff(8916,plain,
% 48.65/31.76 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB61, bitIndex1) | v223(constB61, bitIndex0) | (~v229(constB61)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB61, bitIndex1) | v223(constB61, bitIndex0) | (~v229(constB61)))),
% 48.65/31.76 inference(rewrite,[status(thm)],[])).
% 48.65/31.76 tff(8917,plain,
% 48.65/31.76 ((v223(constB61, bitIndex0) | v223(constB61, bitIndex1) | (~v229(constB61))) <=> (v223(constB61, bitIndex1) | v223(constB61, bitIndex0) | (~v229(constB61)))),
% 48.65/31.76 inference(rewrite,[status(thm)],[])).
% 48.65/31.76 tff(8918,plain,
% 48.65/31.76 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB61, bitIndex0) | v223(constB61, bitIndex1) | (~v229(constB61)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB61, bitIndex1) | v223(constB61, bitIndex0) | (~v229(constB61))))),
% 48.65/31.76 inference(monotonicity,[status(thm)],[8917])).
% 48.65/31.76 tff(8919,plain,
% 48.65/31.76 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB61, bitIndex0) | v223(constB61, bitIndex1) | (~v229(constB61)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB61, bitIndex1) | v223(constB61, bitIndex0) | (~v229(constB61)))),
% 48.65/31.76 inference(transitivity,[status(thm)],[8918, 8916])).
% 48.65/31.76 tff(8920,plain,
% 48.65/31.76 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB61, bitIndex0) | v223(constB61, bitIndex1) | (~v229(constB61)))),
% 48.65/31.76 inference(quant_inst,[status(thm)],[])).
% 48.65/31.76 tff(8921,plain,
% 48.65/31.76 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB61, bitIndex1) | v223(constB61, bitIndex0) | (~v229(constB61))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[8920, 8919])).
% 48.65/31.76 tff(8922,plain,
% 48.65/31.76 (~v229(constB61)),
% 48.65/31.76 inference(unit_resolution,[status(thm)],[8921, 8915, 8905, 8866])).
% 48.65/31.76 tff(8923,plain,
% 48.65/31.76 (^[VarCurr: $i] : refl((v229(VarCurr) | (~v225(VarCurr))) <=> (v229(VarCurr) | (~v225(VarCurr))))),
% 48.65/31.76 inference(bind,[status(th)],[])).
% 48.65/31.76 tff(8924,plain,
% 48.65/31.76 (![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr))) <=> ![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))),
% 48.65/31.76 inference(quant_intro,[status(thm)],[8923])).
% 48.65/31.76 tff(8925,plain,
% 48.65/31.76 (![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr))) <=> ![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))),
% 48.65/31.76 inference(rewrite,[status(thm)],[])).
% 48.65/31.76 tff(8926,axiom,(![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_57_1_2')).
% 48.65/31.76 tff(8927,plain,
% 48.65/31.76 (![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[8926, 8925])).
% 48.65/31.76 tff(8928,plain,(
% 48.65/31.76 ![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))),
% 48.65/31.76 inference(skolemize,[status(sab)],[8927])).
% 48.65/31.76 tff(8929,plain,
% 48.65/31.76 (![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[8928, 8924])).
% 48.65/31.76 tff(8930,plain,
% 48.65/31.76 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB61) | (~v225(constB61)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB61) | (~v225(constB61)))),
% 48.65/31.76 inference(rewrite,[status(thm)],[])).
% 48.65/31.76 tff(8931,plain,
% 48.65/31.76 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB61) | (~v225(constB61)))),
% 48.65/31.76 inference(quant_inst,[status(thm)],[])).
% 48.65/31.76 tff(8932,plain,
% 48.65/31.76 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB61) | (~v225(constB61))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[8931, 8930])).
% 48.65/31.76 tff(8933,plain,
% 48.65/31.76 (~v225(constB61)),
% 48.65/31.76 inference(unit_resolution,[status(thm)],[8932, 8929, 8922])).
% 48.65/31.76 tff(8934,plain,
% 48.65/31.76 (^[VarCurr: $i] : refl((v225(VarCurr) | (~v224(VarCurr))) <=> (v225(VarCurr) | (~v224(VarCurr))))),
% 48.65/31.76 inference(bind,[status(th)],[])).
% 48.65/31.76 tff(8935,plain,
% 48.65/31.76 (![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr))) <=> ![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))),
% 48.65/31.76 inference(quant_intro,[status(thm)],[8934])).
% 48.65/31.76 tff(8936,plain,
% 48.65/31.76 (![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr))) <=> ![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))),
% 48.65/31.76 inference(rewrite,[status(thm)],[])).
% 48.65/31.76 tff(8937,axiom,(![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_58_1_3')).
% 48.65/31.76 tff(8938,plain,
% 48.65/31.76 (![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[8937, 8936])).
% 48.65/31.76 tff(8939,plain,(
% 48.65/31.76 ![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))),
% 48.65/31.76 inference(skolemize,[status(sab)],[8938])).
% 48.65/31.76 tff(8940,plain,
% 48.65/31.76 (![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[8939, 8935])).
% 48.65/31.76 tff(8941,plain,
% 48.65/31.76 (((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB61) | (~v224(constB61)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB61) | (~v224(constB61)))),
% 48.65/31.76 inference(rewrite,[status(thm)],[])).
% 48.65/31.76 tff(8942,plain,
% 48.65/31.76 ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB61) | (~v224(constB61)))),
% 48.65/31.76 inference(quant_inst,[status(thm)],[])).
% 48.65/31.76 tff(8943,plain,
% 48.65/31.76 ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB61) | (~v224(constB61))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[8942, 8941])).
% 48.65/31.76 tff(8944,plain,
% 48.65/31.76 (~v224(constB61)),
% 48.65/31.76 inference(unit_resolution,[status(thm)],[8943, 8940, 8933])).
% 48.65/31.76 tff(8945,plain,
% 48.65/31.76 (^[VarCurr: $i] : refl(((~v222(VarCurr)) | v223(VarCurr, bitIndex1)) <=> ((~v222(VarCurr)) | v223(VarCurr, bitIndex1)))),
% 48.65/31.76 inference(bind,[status(th)],[])).
% 48.65/31.76 tff(8946,plain,
% 48.65/31.76 (![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))),
% 48.65/31.76 inference(quant_intro,[status(thm)],[8945])).
% 48.65/31.76 tff(8947,plain,
% 48.65/31.76 (![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))),
% 48.65/31.76 inference(rewrite,[status(thm)],[])).
% 48.65/31.76 tff(8948,plain,
% 48.65/31.76 (^[VarCurr: $i] : rewrite((v223(VarCurr, bitIndex1) | (~v222(VarCurr))) <=> ((~v222(VarCurr)) | v223(VarCurr, bitIndex1)))),
% 48.65/31.76 inference(bind,[status(th)],[])).
% 48.65/31.76 tff(8949,plain,
% 48.65/31.76 (![VarCurr: $i] : (v223(VarCurr, bitIndex1) | (~v222(VarCurr))) <=> ![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))),
% 48.65/31.76 inference(quant_intro,[status(thm)],[8948])).
% 48.65/31.76 tff(8950,axiom,(![VarCurr: $i] : (v223(VarCurr, bitIndex1) | (~v222(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_54_1_2')).
% 48.65/31.76 tff(8951,plain,
% 48.65/31.76 (![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[8950, 8949])).
% 48.65/31.76 tff(8952,plain,
% 48.65/31.76 (![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[8951, 8947])).
% 48.65/31.76 tff(8953,plain,(
% 48.65/31.76 ![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))),
% 48.65/31.76 inference(skolemize,[status(sab)],[8952])).
% 48.65/31.76 tff(8954,plain,
% 48.65/31.76 (![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[8953, 8946])).
% 48.65/31.76 tff(8955,plain,
% 48.65/31.76 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB61)) | v223(constB61, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB61)) | v223(constB61, bitIndex1))),
% 48.65/31.76 inference(rewrite,[status(thm)],[])).
% 48.65/31.76 tff(8956,plain,
% 48.65/31.76 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB61)) | v223(constB61, bitIndex1))),
% 48.65/31.76 inference(quant_inst,[status(thm)],[])).
% 48.65/31.76 tff(8957,plain,
% 48.65/31.76 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB61)) | v223(constB61, bitIndex1)),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[8956, 8955])).
% 48.65/31.76 tff(8958,plain,
% 48.65/31.76 (~v222(constB61)),
% 48.65/31.76 inference(unit_resolution,[status(thm)],[8957, 8954, 8905])).
% 48.65/31.76 tff(8959,plain,
% 48.65/31.76 (^[VarCurr: $i] : refl((v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr))) <=> (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr))))),
% 48.65/31.76 inference(bind,[status(th)],[])).
% 48.65/31.76 tff(8960,plain,
% 48.65/31.76 (![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr))) <=> ![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))),
% 48.65/31.76 inference(quant_intro,[status(thm)],[8959])).
% 48.65/31.76 tff(8961,plain,
% 48.65/31.76 (![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr))) <=> ![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))),
% 48.65/31.76 inference(rewrite,[status(thm)],[])).
% 48.65/31.76 tff(8962,plain,
% 48.65/31.76 (^[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)))))),
% 48.65/31.76 inference(bind,[status(th)],[])).
% 48.65/31.76 tff(8963,plain,
% 48.65/31.76 (![VarCurr: $i] : ((v224(VarCurr) | v222(VarCurr)) | (~v236(VarCurr))) <=> ![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))),
% 48.65/31.76 inference(quant_intro,[status(thm)],[8962])).
% 48.65/31.76 tff(8964,axiom,(![VarCurr: $i] : ((v224(VarCurr) | v222(VarCurr)) | (~v236(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_61_1_3')).
% 48.65/31.76 tff(8965,plain,
% 48.65/31.76 (![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[8964, 8963])).
% 48.65/31.76 tff(8966,plain,
% 48.65/31.76 (![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[8965, 8961])).
% 48.65/31.76 tff(8967,plain,(
% 48.65/31.76 ![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))),
% 48.65/31.76 inference(skolemize,[status(sab)],[8966])).
% 48.65/31.76 tff(8968,plain,
% 48.65/31.76 (![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[8967, 8960])).
% 48.65/31.76 tff(8969,plain,
% 48.65/31.76 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB61) | v224(constB61) | (~v236(constB61)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB61) | v224(constB61) | (~v236(constB61)))),
% 48.65/31.76 inference(rewrite,[status(thm)],[])).
% 48.65/31.76 tff(8970,plain,
% 48.65/31.76 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB61) | v224(constB61) | (~v236(constB61)))),
% 48.65/31.76 inference(quant_inst,[status(thm)],[])).
% 48.65/31.76 tff(8971,plain,
% 48.65/31.76 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB61) | v224(constB61) | (~v236(constB61))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[8970, 8969])).
% 48.65/31.76 tff(8972,plain,
% 48.65/31.76 (v224(constB61) | (~v236(constB61))),
% 48.65/31.76 inference(unit_resolution,[status(thm)],[8971, 8968, 8958])).
% 48.65/31.76 tff(8973,plain,
% 48.65/31.76 (~v236(constB61)),
% 48.65/31.76 inference(unit_resolution,[status(thm)],[8972, 8944])).
% 48.65/31.76 tff(8974,plain,
% 48.65/31.76 (^[VarCurr: $i] : refl((v236(VarCurr) | (~v232(VarCurr))) <=> (v236(VarCurr) | (~v232(VarCurr))))),
% 48.65/31.76 inference(bind,[status(th)],[])).
% 48.65/31.76 tff(8975,plain,
% 48.65/31.76 (![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr))) <=> ![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))),
% 48.65/31.76 inference(quant_intro,[status(thm)],[8974])).
% 48.65/31.76 tff(8976,plain,
% 48.65/31.76 (![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr))) <=> ![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))),
% 48.65/31.76 inference(rewrite,[status(thm)],[])).
% 48.65/31.76 tff(8977,axiom,(![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_62_1_2')).
% 48.65/31.76 tff(8978,plain,
% 48.65/31.76 (![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[8977, 8976])).
% 48.65/31.76 tff(8979,plain,(
% 48.65/31.76 ![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))),
% 48.65/31.76 inference(skolemize,[status(sab)],[8978])).
% 48.65/31.76 tff(8980,plain,
% 48.65/31.76 (![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[8979, 8975])).
% 48.65/31.76 tff(8981,plain,
% 48.65/31.76 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB61) | (~v232(constB61)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB61) | (~v232(constB61)))),
% 48.65/31.76 inference(rewrite,[status(thm)],[])).
% 48.65/31.76 tff(8982,plain,
% 48.65/31.76 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB61) | (~v232(constB61)))),
% 48.65/31.76 inference(quant_inst,[status(thm)],[])).
% 48.65/31.76 tff(8983,plain,
% 48.65/31.76 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB61) | (~v232(constB61))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[8982, 8981])).
% 48.65/31.76 tff(8984,plain,
% 48.65/31.76 (~v232(constB61)),
% 48.65/31.76 inference(unit_resolution,[status(thm)],[8983, 8980, 8973])).
% 48.65/31.76 tff(8985,plain,
% 48.65/31.76 (^[VarCurr: $i] : refl(((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr))) <=> ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr))))),
% 48.65/31.76 inference(bind,[status(th)],[])).
% 48.65/31.76 tff(8986,plain,
% 48.65/31.76 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))),
% 48.65/31.76 inference(quant_intro,[status(thm)],[8985])).
% 48.65/31.76 tff(8987,plain,
% 48.65/31.76 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))),
% 48.65/31.76 inference(rewrite,[status(thm)],[])).
% 48.65/31.76 tff(8988,axiom,(![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_4')).
% 48.65/31.76 tff(8989,plain,
% 48.65/31.76 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[8988, 8987])).
% 48.65/31.76 tff(8990,plain,(
% 48.65/31.76 ![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))),
% 48.65/31.76 inference(skolemize,[status(sab)],[8989])).
% 48.65/31.76 tff(8991,plain,
% 48.65/31.76 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[8990, 8986])).
% 48.65/31.76 tff(8992,plain,
% 48.65/31.76 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB61, bitIndex0)) | (~v139(constB61)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB61, bitIndex0)) | (~v139(constB61)))),
% 48.65/31.76 inference(rewrite,[status(thm)],[])).
% 48.65/31.76 tff(8993,plain,
% 48.65/31.76 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB61, bitIndex0)) | (~v139(constB61)))),
% 48.65/31.76 inference(quant_inst,[status(thm)],[])).
% 48.65/31.76 tff(8994,plain,
% 48.65/31.76 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB61, bitIndex0)) | (~v139(constB61))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[8993, 8992])).
% 48.65/31.76 tff(8995,plain,
% 48.65/31.76 (~v139(constB61)),
% 48.65/31.76 inference(unit_resolution,[status(thm)],[8994, 8991, 8666])).
% 48.65/31.76 tff(8996,plain,
% 48.65/31.76 (^[VarCurr: $i] : refl(((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr))) <=> ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr))))),
% 48.65/31.76 inference(bind,[status(th)],[])).
% 48.65/31.76 tff(8997,plain,
% 48.65/31.76 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))),
% 48.65/31.76 inference(quant_intro,[status(thm)],[8996])).
% 48.65/31.76 tff(8998,plain,
% 48.65/31.76 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))),
% 48.65/31.76 inference(rewrite,[status(thm)],[])).
% 48.65/31.76 tff(8999,axiom,(![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10_1_1_4')).
% 48.65/31.76 tff(9000,plain,
% 48.65/31.76 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[8999, 8998])).
% 48.65/31.76 tff(9001,plain,(
% 48.65/31.76 ![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))),
% 48.65/31.76 inference(skolemize,[status(sab)],[9000])).
% 48.65/31.76 tff(9002,plain,
% 48.65/31.76 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[9001, 8997])).
% 48.65/31.76 tff(9003,plain,
% 48.65/31.76 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB61, bitIndex1)) | (~v140(constB61)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB61, bitIndex1)) | (~v140(constB61)))),
% 48.65/31.76 inference(rewrite,[status(thm)],[])).
% 48.65/31.76 tff(9004,plain,
% 48.65/31.76 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB61, bitIndex1)) | (~v140(constB61)))),
% 48.65/31.76 inference(quant_inst,[status(thm)],[])).
% 48.65/31.76 tff(9005,plain,
% 48.65/31.76 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB61, bitIndex1)) | (~v140(constB61))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[9004, 9003])).
% 48.65/31.76 tff(9006,plain,
% 48.65/31.76 (~v140(constB61)),
% 48.65/31.76 inference(unit_resolution,[status(thm)],[9005, 9002, 8711])).
% 48.65/31.76 tff(9007,plain,
% 48.65/31.76 (^[VarCurr: $i] : refl((v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr))) <=> (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr))))),
% 48.65/31.76 inference(bind,[status(th)],[])).
% 48.65/31.76 tff(9008,plain,
% 48.65/31.76 (![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr))) <=> ![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))),
% 48.65/31.76 inference(quant_intro,[status(thm)],[9007])).
% 48.65/31.76 tff(9009,plain,
% 48.65/31.76 (![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr))) <=> ![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))),
% 48.65/31.76 inference(rewrite,[status(thm)],[])).
% 48.65/31.76 tff(9010,plain,
% 48.65/31.76 (^[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)))))),
% 48.65/31.76 inference(bind,[status(th)],[])).
% 48.65/31.76 tff(9011,plain,
% 48.65/31.76 (![VarCurr: $i] : (((~v148(VarCurr)) | v140(VarCurr)) | v139(VarCurr)) <=> ![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))),
% 48.65/31.76 inference(quant_intro,[status(thm)],[9010])).
% 48.65/31.76 tff(9012,axiom,(![VarCurr: $i] : (((~v148(VarCurr)) | v140(VarCurr)) | v139(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_1_1_1')).
% 48.65/31.76 tff(9013,plain,
% 48.65/31.76 (![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[9012, 9011])).
% 48.65/31.76 tff(9014,plain,
% 48.65/31.76 (![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[9013, 9009])).
% 48.65/31.76 tff(9015,plain,(
% 48.65/31.76 ![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))),
% 48.65/31.76 inference(skolemize,[status(sab)],[9014])).
% 48.65/31.76 tff(9016,plain,
% 48.65/31.76 (![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[9015, 9008])).
% 48.65/31.76 tff(9017,plain,
% 48.65/31.76 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v139(constB61) | v140(constB61) | (~v148(constB61)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v139(constB61) | v140(constB61) | (~v148(constB61)))),
% 48.65/31.76 inference(rewrite,[status(thm)],[])).
% 48.65/31.76 tff(9018,plain,
% 48.65/31.76 ((v140(constB61) | v139(constB61) | (~v148(constB61))) <=> (v139(constB61) | v140(constB61) | (~v148(constB61)))),
% 48.65/31.76 inference(rewrite,[status(thm)],[])).
% 48.65/31.76 tff(9019,plain,
% 48.65/31.76 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB61) | v139(constB61) | (~v148(constB61)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v139(constB61) | v140(constB61) | (~v148(constB61))))),
% 48.65/31.76 inference(monotonicity,[status(thm)],[9018])).
% 48.65/31.76 tff(9020,plain,
% 48.65/31.76 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB61) | v139(constB61) | (~v148(constB61)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v139(constB61) | v140(constB61) | (~v148(constB61)))),
% 48.65/31.76 inference(transitivity,[status(thm)],[9019, 9017])).
% 48.65/31.76 tff(9021,plain,
% 48.65/31.76 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB61) | v139(constB61) | (~v148(constB61)))),
% 48.65/31.76 inference(quant_inst,[status(thm)],[])).
% 48.65/31.76 tff(9022,plain,
% 48.65/31.76 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v139(constB61) | v140(constB61) | (~v148(constB61))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[9021, 9020])).
% 48.65/31.76 tff(9023,plain,
% 48.65/31.76 (~v148(constB61)),
% 48.65/31.76 inference(unit_resolution,[status(thm)],[9022, 9016, 9006, 8995])).
% 48.65/31.76 tff(9024,plain,
% 48.65/31.76 (^[VarNext: $i] : refl((v148(VarNext) | (~v197(VarNext)) | v252(VarNext)) <=> (v148(VarNext) | (~v197(VarNext)) | v252(VarNext)))),
% 48.65/31.76 inference(bind,[status(th)],[])).
% 48.65/31.76 tff(9025,plain,
% 48.65/31.76 (![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext)) <=> ![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))),
% 48.65/31.76 inference(quant_intro,[status(thm)],[9024])).
% 48.65/31.76 tff(9026,plain,
% 48.65/31.76 (![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext)) <=> ![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))),
% 48.65/31.76 inference(rewrite,[status(thm)],[])).
% 48.65/31.76 tff(9027,plain,
% 48.65/31.76 (^[VarNext: $i] : rewrite(((v148(VarNext) | v252(VarNext)) | (~v197(VarNext))) <=> (v148(VarNext) | (~v197(VarNext)) | v252(VarNext)))),
% 48.65/31.76 inference(bind,[status(th)],[])).
% 48.65/31.76 tff(9028,plain,
% 48.65/31.76 (![VarNext: $i] : ((v148(VarNext) | v252(VarNext)) | (~v197(VarNext))) <=> ![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))),
% 48.65/31.76 inference(quant_intro,[status(thm)],[9027])).
% 48.65/31.76 tff(9029,axiom,(![VarNext: $i] : ((v148(VarNext) | v252(VarNext)) | (~v197(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_4_1_2')).
% 48.65/31.76 tff(9030,plain,
% 48.65/31.76 (![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[9029, 9028])).
% 48.65/31.76 tff(9031,plain,
% 48.65/31.76 (![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[9030, 9026])).
% 48.65/31.76 tff(9032,plain,(
% 48.65/31.76 ![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))),
% 48.65/31.76 inference(skolemize,[status(sab)],[9031])).
% 48.65/31.76 tff(9033,plain,
% 48.65/31.76 (![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[9032, 9025])).
% 48.65/31.76 tff(9034,plain,
% 48.65/31.76 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB61) | (~v197(constB61)) | v148(constB61))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB61) | (~v197(constB61)) | v148(constB61))),
% 48.65/31.76 inference(rewrite,[status(thm)],[])).
% 48.65/31.76 tff(9035,plain,
% 48.65/31.76 ((v148(constB61) | (~v197(constB61)) | v252(constB61)) <=> (v252(constB61) | (~v197(constB61)) | v148(constB61))),
% 48.65/31.76 inference(rewrite,[status(thm)],[])).
% 48.65/31.76 tff(9036,plain,
% 48.65/31.76 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB61) | (~v197(constB61)) | v252(constB61))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB61) | (~v197(constB61)) | v148(constB61)))),
% 48.65/31.76 inference(monotonicity,[status(thm)],[9035])).
% 48.65/31.76 tff(9037,plain,
% 48.65/31.76 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB61) | (~v197(constB61)) | v252(constB61))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB61) | (~v197(constB61)) | v148(constB61))),
% 48.65/31.76 inference(transitivity,[status(thm)],[9036, 9034])).
% 48.65/31.76 tff(9038,plain,
% 48.65/31.76 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB61) | (~v197(constB61)) | v252(constB61))),
% 48.65/31.76 inference(quant_inst,[status(thm)],[])).
% 48.65/31.76 tff(9039,plain,
% 48.65/31.76 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB61) | (~v197(constB61)) | v148(constB61)),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[9038, 9037])).
% 48.65/31.76 tff(9040,plain,
% 48.65/31.76 (v252(constB61) | (~v197(constB61))),
% 48.65/31.76 inference(unit_resolution,[status(thm)],[9039, 9033, 9023])).
% 48.65/31.76 tff(9041,plain,
% 48.65/31.76 (v252(constB61)),
% 48.65/31.76 inference(unit_resolution,[status(thm)],[9040, 8838])).
% 48.65/31.76 tff(9042,plain,
% 48.65/31.76 (^[VarCurr: $i] : refl(((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3))) <=> ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3))))),
% 48.65/31.76 inference(bind,[status(th)],[])).
% 48.65/31.76 tff(9043,plain,
% 48.65/31.76 (![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3))) <=> ![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))),
% 48.65/31.76 inference(quant_intro,[status(thm)],[9042])).
% 48.65/31.76 tff(9044,plain,
% 48.65/31.76 (![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3))) <=> ![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))),
% 48.65/31.76 inference(rewrite,[status(thm)],[])).
% 48.65/31.76 tff(9045,axiom,(![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_26_1_1')).
% 48.65/31.76 tff(9046,plain,
% 48.65/31.76 (![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[9045, 9044])).
% 48.65/31.76 tff(9047,plain,(
% 48.65/31.76 ![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))),
% 48.65/31.76 inference(skolemize,[status(sab)],[9046])).
% 48.65/31.76 tff(9048,plain,
% 48.65/31.76 (![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[9047, 9043])).
% 48.65/31.76 tff(9049,plain,
% 48.65/31.76 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB61)) | (~v223(constB61, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB61)) | (~v223(constB61, bitIndex3)))),
% 48.65/31.76 inference(rewrite,[status(thm)],[])).
% 48.65/31.76 tff(9050,plain,
% 48.65/31.76 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB61)) | (~v223(constB61, bitIndex3)))),
% 48.65/31.76 inference(quant_inst,[status(thm)],[])).
% 48.65/31.76 tff(9051,plain,
% 48.65/31.76 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB61)) | (~v223(constB61, bitIndex3))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[9050, 9049])).
% 48.65/31.76 tff(9052,plain,
% 48.65/31.76 (~v223(constB61, bitIndex3)),
% 48.65/31.76 inference(unit_resolution,[status(thm)],[9051, 9048, 9041])).
% 48.65/31.76 tff(9053,plain,
% 48.65/31.76 (^[VarCurr: $i] : refl(((~v237(VarCurr)) | v223(VarCurr, bitIndex3)) <=> ((~v237(VarCurr)) | v223(VarCurr, bitIndex3)))),
% 48.65/31.76 inference(bind,[status(th)],[])).
% 48.65/31.76 tff(9054,plain,
% 48.65/31.76 (![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3)) <=> ![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))),
% 48.65/31.76 inference(quant_intro,[status(thm)],[9053])).
% 48.65/31.76 tff(9055,plain,
% 48.65/31.76 (![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3)) <=> ![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))),
% 48.65/31.76 inference(rewrite,[status(thm)],[])).
% 48.65/31.76 tff(9056,plain,
% 48.65/31.76 (^[VarCurr: $i] : rewrite((v223(VarCurr, bitIndex3) | (~v237(VarCurr))) <=> ((~v237(VarCurr)) | v223(VarCurr, bitIndex3)))),
% 48.65/31.76 inference(bind,[status(th)],[])).
% 48.65/31.76 tff(9057,plain,
% 48.65/31.76 (![VarCurr: $i] : (v223(VarCurr, bitIndex3) | (~v237(VarCurr))) <=> ![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))),
% 48.65/31.76 inference(quant_intro,[status(thm)],[9056])).
% 48.65/31.76 tff(9058,axiom,(![VarCurr: $i] : (v223(VarCurr, bitIndex3) | (~v237(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_66_1_2')).
% 48.65/31.76 tff(9059,plain,
% 48.65/31.76 (![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[9058, 9057])).
% 48.65/31.76 tff(9060,plain,
% 48.65/31.76 (![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[9059, 9055])).
% 48.65/31.76 tff(9061,plain,(
% 48.65/31.76 ![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))),
% 48.65/31.76 inference(skolemize,[status(sab)],[9060])).
% 48.65/31.76 tff(9062,plain,
% 48.65/31.76 (![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[9061, 9054])).
% 48.65/31.76 tff(9063,plain,
% 48.65/31.76 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB61)) | v223(constB61, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB61)) | v223(constB61, bitIndex3))),
% 48.65/31.76 inference(rewrite,[status(thm)],[])).
% 48.65/31.76 tff(9064,plain,
% 48.65/31.76 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB61)) | v223(constB61, bitIndex3))),
% 48.65/31.76 inference(quant_inst,[status(thm)],[])).
% 48.65/31.76 tff(9065,plain,
% 48.65/31.76 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB61)) | v223(constB61, bitIndex3)),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[9064, 9063])).
% 48.65/31.76 tff(9066,plain,
% 48.65/31.76 (~v237(constB61)),
% 48.65/31.76 inference(unit_resolution,[status(thm)],[9065, 9062, 9052])).
% 48.65/31.76 tff(9067,plain,
% 48.65/31.76 (^[VarCurr: $i] : refl((v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr))) <=> (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr))))),
% 48.65/31.76 inference(bind,[status(th)],[])).
% 48.65/31.76 tff(9068,plain,
% 48.65/31.76 (![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr))) <=> ![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))),
% 48.65/31.76 inference(quant_intro,[status(thm)],[9067])).
% 48.65/31.76 tff(9069,plain,
% 48.65/31.76 (![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr))) <=> ![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))),
% 48.65/31.76 inference(rewrite,[status(thm)],[])).
% 48.65/31.76 tff(9070,plain,
% 48.65/31.76 (^[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)))))),
% 48.65/31.76 inference(bind,[status(th)],[])).
% 48.65/31.76 tff(9071,plain,
% 48.65/31.76 (![VarCurr: $i] : ((v237(VarCurr) | v232(VarCurr)) | (~v248(VarCurr))) <=> ![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))),
% 48.65/31.76 inference(quant_intro,[status(thm)],[9070])).
% 48.65/31.76 tff(9072,axiom,(![VarCurr: $i] : ((v237(VarCurr) | v232(VarCurr)) | (~v248(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_72_1_3')).
% 48.65/31.76 tff(9073,plain,
% 48.65/31.76 (![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[9072, 9071])).
% 48.65/31.76 tff(9074,plain,
% 48.65/31.76 (![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[9073, 9069])).
% 48.65/31.76 tff(9075,plain,(
% 48.65/31.76 ![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))),
% 48.65/31.76 inference(skolemize,[status(sab)],[9074])).
% 48.65/31.76 tff(9076,plain,
% 48.65/31.76 (![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[9075, 9068])).
% 48.65/31.76 tff(9077,plain,
% 48.65/31.76 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB61) | v232(constB61) | (~v248(constB61)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB61) | v232(constB61) | (~v248(constB61)))),
% 48.65/31.76 inference(rewrite,[status(thm)],[])).
% 48.65/31.76 tff(9078,plain,
% 48.65/31.76 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB61) | v232(constB61) | (~v248(constB61)))),
% 48.65/31.76 inference(quant_inst,[status(thm)],[])).
% 48.65/31.76 tff(9079,plain,
% 48.65/31.76 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB61) | v232(constB61) | (~v248(constB61))),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[9078, 9077])).
% 48.65/31.76 tff(9080,plain,
% 48.65/31.76 (v232(constB61) | (~v248(constB61))),
% 48.65/31.76 inference(unit_resolution,[status(thm)],[9079, 9076, 9066])).
% 48.65/31.76 tff(9081,plain,
% 48.65/31.76 (~v248(constB61)),
% 48.65/31.76 inference(unit_resolution,[status(thm)],[9080, 8984])).
% 48.65/31.76 tff(9082,plain,
% 48.65/31.76 ($false),
% 48.65/31.76 inference(unit_resolution,[status(thm)],[9081, 8])).
% 48.65/31.76 tff(9083,plain,((~(constB61 = sK0_VarCurr)) | (~v248(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 48.65/31.76 tff(9084,plain,
% 48.65/31.76 (~(constB61 = sK0_VarCurr)),
% 48.65/31.76 inference(unit_resolution,[status(thm)],[9083, 4])).
% 48.65/31.76 tff(9085,plain,
% 48.65/31.76 (v248(constB67) <=> v248(sK0_VarCurr)),
% 48.65/31.76 inference(monotonicity,[status(thm)],[1])).
% 48.65/31.76 tff(9086,plain,
% 48.65/31.76 (v248(sK0_VarCurr) <=> v248(constB67)),
% 48.65/31.76 inference(symmetry,[status(thm)],[9085])).
% 48.65/31.76 tff(9087,plain,
% 48.65/31.76 (v248(constB67)),
% 48.65/31.76 inference(modus_ponens,[status(thm)],[4, 9086])).
% 48.65/31.76 tff(9088,plain,
% 48.65/31.76 (((~![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))),
% 48.65/31.76 inference(rewrite,[status(thm)],[])).
% 48.65/31.76 tff(9089,plain,
% 48.65/31.76 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex2) | v122(constB61))),
% 48.65/31.77 inference(quant_inst,[status(thm)],[])).
% 48.65/31.77 tff(9090,plain,
% 48.65/31.77 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex1)) | v90(constB61, bitIndex2) | v122(constB61)),
% 48.65/31.77 inference(modus_ponens,[status(thm)],[9089, 9088])).
% 48.65/31.77 tff(9091,plain,
% 48.65/31.77 ((~v90(constB61, bitIndex0)) | (~v90(constB61, bitIndex1)) | v122(constB61)),
% 48.65/31.77 inference(unit_resolution,[status(thm)],[9090, 1789, 8762])).
% 48.65/31.77 tff(9092,plain,
% 48.65/31.77 (v122(constB61)),
% 48.65/31.77 inference(unit_resolution,[status(thm)],[9091, 8697, 8652])).
% 48.65/31.77 tff(9093,plain,
% 48.65/31.77 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB61) | (~v122(constB61)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB61) | (~v122(constB61)))),
% 48.65/31.77 inference(rewrite,[status(thm)],[])).
% 48.65/31.77 tff(9094,plain,
% 48.65/31.77 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB61) | (~v122(constB61)))),
% 48.65/31.77 inference(quant_inst,[status(thm)],[])).
% 48.65/31.77 tff(9095,plain,
% 48.65/31.77 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB61) | (~v122(constB61))),
% 48.65/31.77 inference(modus_ponens,[status(thm)],[9094, 9093])).
% 48.65/31.77 tff(9096,plain,
% 48.65/31.77 (v116(constB61)),
% 48.65/31.77 inference(unit_resolution,[status(thm)],[9095, 1800, 9092])).
% 48.65/31.77 tff(9097,plain,
% 48.65/31.77 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB61) | (~v116(constB61)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB61) | (~v116(constB61)))),
% 48.65/31.77 inference(rewrite,[status(thm)],[])).
% 48.65/31.77 tff(9098,plain,
% 48.65/31.77 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB61) | (~v116(constB61)))),
% 48.65/31.77 inference(quant_inst,[status(thm)],[])).
% 48.65/31.77 tff(9099,plain,
% 48.65/31.77 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB61) | (~v116(constB61))),
% 48.65/31.77 inference(modus_ponens,[status(thm)],[9098, 9097])).
% 48.65/31.77 tff(9100,plain,
% 48.65/31.77 (v115(constB61)),
% 48.65/31.77 inference(unit_resolution,[status(thm)],[9099, 188, 9096])).
% 48.65/31.77 tff(9101,plain,
% 48.65/31.77 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB61) | (~v115(constB61)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB61) | (~v115(constB61)))),
% 48.65/31.77 inference(rewrite,[status(thm)],[])).
% 48.65/31.77 tff(9102,plain,
% 48.65/31.77 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB61) | (~v115(constB61)))),
% 48.65/31.77 inference(quant_inst,[status(thm)],[])).
% 48.65/31.77 tff(9103,plain,
% 48.65/31.77 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB61) | (~v115(constB61))),
% 48.65/31.77 inference(modus_ponens,[status(thm)],[9102, 9101])).
% 48.65/31.77 tff(9104,plain,
% 48.65/31.77 (v114(constB61)),
% 48.65/31.77 inference(unit_resolution,[status(thm)],[9103, 199, 9100])).
% 48.65/31.77 tff(9105,plain,
% 48.65/31.77 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB61) | (~v114(constB61)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB61) | (~v114(constB61)))),
% 48.65/31.77 inference(rewrite,[status(thm)],[])).
% 48.65/31.77 tff(9106,plain,
% 48.65/31.77 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB61) | (~v114(constB61)))),
% 48.65/31.77 inference(quant_inst,[status(thm)],[])).
% 48.65/31.77 tff(9107,plain,
% 48.65/31.77 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB61) | (~v114(constB61))),
% 48.65/31.77 inference(modus_ponens,[status(thm)],[9106, 9105])).
% 48.65/31.77 tff(9108,plain,
% 48.65/31.77 (v113(constB61)),
% 48.65/31.77 inference(unit_resolution,[status(thm)],[9107, 210, 9104])).
% 48.65/31.77 tff(9109,assumption,(~v108(constB61)), introduced(assumption)).
% 48.65/31.77 tff(9110,plain,
% 48.65/31.77 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB61) | (~v112(constB61)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB61) | (~v112(constB61)))),
% 48.65/31.77 inference(rewrite,[status(thm)],[])).
% 48.65/31.77 tff(9111,plain,
% 48.65/31.77 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB61) | (~v112(constB61)))),
% 48.65/31.77 inference(quant_inst,[status(thm)],[])).
% 48.65/31.77 tff(9112,plain,
% 48.65/31.77 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB61) | (~v112(constB61))),
% 48.65/31.77 inference(modus_ponens,[status(thm)],[9111, 9110])).
% 48.65/31.77 tff(9113,plain,
% 48.65/31.77 (~v112(constB61)),
% 48.65/31.77 inference(unit_resolution,[status(thm)],[9112, 236, 9109])).
% 48.65/31.77 tff(9114,plain,
% 48.65/31.77 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB61) | (~v26(constB61)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB61) | (~v26(constB61)))),
% 48.65/31.77 inference(rewrite,[status(thm)],[])).
% 48.65/31.77 tff(9115,plain,
% 48.65/31.77 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB61) | (~v26(constB61)))),
% 48.65/31.77 inference(quant_inst,[status(thm)],[])).
% 48.65/31.77 tff(9116,plain,
% 48.65/31.77 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB61) | (~v26(constB61))),
% 48.65/31.77 inference(modus_ponens,[status(thm)],[9115, 9114])).
% 48.65/31.77 tff(9117,plain,
% 48.65/31.77 (~v26(constB61)),
% 48.65/31.77 inference(unit_resolution,[status(thm)],[9116, 961, 9109])).
% 48.65/31.77 tff(9118,assumption,(v113(constB61)), introduced(assumption)).
% 48.65/31.77 tff(9119,plain,
% 48.65/31.77 (((~![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)))),
% 48.65/31.77 inference(rewrite,[status(thm)],[])).
% 48.65/31.77 tff(9120,plain,
% 48.65/31.77 ((v26(constB61) | (~v113(constB61)) | v112(constB61)) <=> (v26(constB61) | v112(constB61) | (~v113(constB61)))),
% 48.65/31.77 inference(rewrite,[status(thm)],[])).
% 48.65/31.77 tff(9121,plain,
% 48.65/31.77 (((~![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))))),
% 48.65/31.77 inference(monotonicity,[status(thm)],[9120])).
% 48.65/31.77 tff(9122,plain,
% 48.65/31.77 (((~![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)))),
% 48.65/31.77 inference(transitivity,[status(thm)],[9121, 9119])).
% 48.65/31.77 tff(9123,plain,
% 48.65/31.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB61) | (~v113(constB61)) | v112(constB61))),
% 48.65/31.77 inference(quant_inst,[status(thm)],[])).
% 48.65/31.77 tff(9124,plain,
% 48.65/31.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB61) | v112(constB61) | (~v113(constB61))),
% 48.65/31.77 inference(modus_ponens,[status(thm)],[9123, 9122])).
% 48.65/31.77 tff(9125,plain,
% 48.65/31.77 (v26(constB61) | v112(constB61)),
% 48.65/31.77 inference(unit_resolution,[status(thm)],[9124, 224, 9118])).
% 48.65/31.77 tff(9126,plain,
% 48.65/31.77 ($false),
% 48.65/31.77 inference(unit_resolution,[status(thm)],[9125, 9117, 9113])).
% 48.65/31.77 tff(9127,plain,(v108(constB61) | (~v113(constB61))), inference(lemma,lemma(discharge,[]))).
% 48.65/31.77 tff(9128,plain,
% 48.65/31.77 (v108(constB61)),
% 48.65/31.77 inference(unit_resolution,[status(thm)],[9127, 9108])).
% 48.65/31.77 tff(9129,plain,
% 48.65/31.77 (nextState(constB61, constB62) <=> nextState(constB61, constB62)),
% 48.65/31.77 inference(rewrite,[status(thm)],[])).
% 48.65/31.77 tff(9130,axiom,(nextState(constB61, constB62)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_61_1')).
% 48.65/31.77 tff(9131,plain,
% 48.65/31.77 (nextState(constB61, constB62)),
% 48.65/31.77 inference(modus_ponens,[status(thm)],[9130, 9129])).
% 48.65/31.77 tff(9132,plain,
% 48.65/31.77 (((~![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)))),
% 48.65/31.77 inference(rewrite,[status(thm)],[])).
% 48.65/31.77 tff(9133,plain,
% 48.65/31.77 (((~nextState(constB61, constB62)) | (~v108(constB61)) | v110(constB62)) <=> ((~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61)))),
% 48.65/31.77 inference(rewrite,[status(thm)],[])).
% 48.65/31.77 tff(9134,plain,
% 48.65/31.77 (((~![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))))),
% 48.65/31.77 inference(monotonicity,[status(thm)],[9133])).
% 48.65/31.77 tff(9135,plain,
% 48.65/31.77 (((~![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)))),
% 48.65/31.77 inference(transitivity,[status(thm)],[9134, 9132])).
% 48.65/31.77 tff(9136,plain,
% 48.65/31.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB61, constB62)) | (~v108(constB61)) | v110(constB62))),
% 48.65/31.77 inference(quant_inst,[status(thm)],[])).
% 48.65/31.77 tff(9137,plain,
% 48.65/31.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61))),
% 48.65/31.77 inference(modus_ponens,[status(thm)],[9136, 9135])).
% 48.65/31.77 tff(9138,plain,
% 48.65/31.77 (v110(constB62) | (~v108(constB61))),
% 48.65/31.77 inference(unit_resolution,[status(thm)],[9137, 253, 9131])).
% 48.65/31.77 tff(9139,plain,
% 48.65/31.77 (v110(constB62)),
% 48.65/31.77 inference(unit_resolution,[status(thm)],[9138, 9128])).
% 48.65/31.77 tff(9140,plain,
% 48.65/31.77 (((~![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)))),
% 48.65/31.77 inference(rewrite,[status(thm)],[])).
% 48.65/31.77 tff(9141,plain,
% 48.65/31.77 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB61) | (~nextState(constB61, constB62)) | (~v104(constB62)))),
% 48.65/31.77 inference(quant_inst,[status(thm)],[])).
% 48.65/31.77 tff(9142,plain,
% 48.65/31.77 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB61) | (~nextState(constB61, constB62)) | (~v104(constB62))),
% 48.65/31.77 inference(modus_ponens,[status(thm)],[9141, 9140])).
% 48.65/31.77 tff(9143,plain,
% 48.65/31.77 (~v104(constB62)),
% 48.65/31.77 inference(unit_resolution,[status(thm)],[9142, 271, 9131, 8628])).
% 48.65/31.77 tff(9144,plain,
% 48.65/31.77 (((~![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))),
% 48.65/31.77 inference(rewrite,[status(thm)],[])).
% 48.65/31.77 tff(9145,plain,
% 48.65/31.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB61, constB62)) | v102(constB62) | v104(constB62))),
% 48.65/31.77 inference(quant_inst,[status(thm)],[])).
% 48.65/31.77 tff(9146,plain,
% 48.65/31.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB61, constB62)) | v102(constB62) | v104(constB62)),
% 48.65/31.77 inference(modus_ponens,[status(thm)],[9145, 9144])).
% 48.65/31.77 tff(9147,plain,
% 48.65/31.77 (v102(constB62) | v104(constB62)),
% 48.65/31.77 inference(unit_resolution,[status(thm)],[9146, 285, 9131])).
% 48.65/31.77 tff(9148,plain,
% 48.65/31.77 (v102(constB62)),
% 48.65/31.77 inference(unit_resolution,[status(thm)],[9147, 9143])).
% 48.65/31.77 tff(9149,plain,
% 48.65/31.77 (v1(constB62) <=> v1(constB62)),
% 48.65/31.77 inference(rewrite,[status(thm)],[])).
% 48.65/31.77 tff(9150,axiom,(v1(constB62)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_62_1')).
% 48.65/31.77 tff(9151,plain,
% 48.65/31.77 (v1(constB62)),
% 48.65/31.77 inference(modus_ponens,[status(thm)],[9150, 9149])).
% 48.65/31.77 tff(9152,plain,
% 48.65/31.77 (((~![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)))),
% 48.65/31.77 inference(rewrite,[status(thm)],[])).
% 48.65/31.77 tff(9153,plain,
% 48.65/31.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB61, constB62)) | v101(constB62) | (~v102(constB62)) | (~v1(constB62)))),
% 48.65/31.77 inference(quant_inst,[status(thm)],[])).
% 48.65/31.77 tff(9154,plain,
% 48.65/31.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB61, constB62)) | v101(constB62) | (~v102(constB62)) | (~v1(constB62))),
% 48.65/31.77 inference(modus_ponens,[status(thm)],[9153, 9152])).
% 48.65/31.77 tff(9155,plain,
% 48.65/31.77 (v101(constB62) | (~v102(constB62))),
% 48.65/31.77 inference(unit_resolution,[status(thm)],[9154, 303, 9131, 9151])).
% 48.65/31.77 tff(9156,plain,
% 48.65/31.77 (v101(constB62)),
% 48.65/31.77 inference(unit_resolution,[status(thm)],[9155, 9148])).
% 48.65/31.77 tff(9157,plain,
% 48.65/31.77 (((~![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)))),
% 48.65/31.77 inference(rewrite,[status(thm)],[])).
% 48.65/31.77 tff(9158,plain,
% 48.65/31.77 (((~nextState(constB61, constB62)) | (~v101(constB62)) | (~v110(constB62)) | v100(constB62)) <=> ((~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62)))),
% 48.65/31.77 inference(rewrite,[status(thm)],[])).
% 48.65/31.77 tff(9159,plain,
% 48.65/31.77 (((~![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))))),
% 48.65/31.77 inference(monotonicity,[status(thm)],[9158])).
% 48.65/31.77 tff(9160,plain,
% 48.65/31.77 (((~![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)))),
% 48.65/31.77 inference(transitivity,[status(thm)],[9159, 9157])).
% 48.65/31.77 tff(9161,plain,
% 48.65/31.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB61, constB62)) | (~v101(constB62)) | (~v110(constB62)) | v100(constB62))),
% 48.65/31.77 inference(quant_inst,[status(thm)],[])).
% 48.65/31.77 tff(9162,plain,
% 48.65/31.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62))),
% 48.65/31.77 inference(modus_ponens,[status(thm)],[9161, 9160])).
% 48.65/31.77 tff(9163,plain,
% 48.65/31.77 (v100(constB62) | (~v101(constB62)) | (~v110(constB62))),
% 48.65/31.77 inference(unit_resolution,[status(thm)],[9162, 318, 9131])).
% 48.65/31.77 tff(9164,plain,
% 48.65/31.77 (v100(constB62) | (~v110(constB62))),
% 48.65/31.77 inference(unit_resolution,[status(thm)],[9163, 9156])).
% 48.65/31.77 tff(9165,plain,
% 48.65/31.77 (v100(constB62)),
% 48.65/31.77 inference(unit_resolution,[status(thm)],[9164, 9139])).
% 48.65/31.77 tff(9166,plain,
% 48.65/31.77 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB61)) | (~v130(constB61, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB61)) | (~v130(constB61, bitIndex1)))),
% 48.65/31.77 inference(rewrite,[status(thm)],[])).
% 48.65/31.77 tff(9167,plain,
% 48.65/31.77 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB61)) | (~v130(constB61, bitIndex1)))),
% 48.65/31.77 inference(quant_inst,[status(thm)],[])).
% 48.65/31.77 tff(9168,plain,
% 48.65/31.77 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB61)) | (~v130(constB61, bitIndex1))),
% 48.65/31.77 inference(modus_ponens,[status(thm)],[9167, 9166])).
% 48.65/31.77 tff(9169,plain,
% 48.65/31.77 (~v130(constB61, bitIndex1)),
% 48.65/31.77 inference(unit_resolution,[status(thm)],[9168, 1935, 9092])).
% 48.65/31.77 tff(9170,assumption,(v26(constB61)), introduced(assumption)).
% 48.65/31.77 tff(9171,plain,
% 48.65/31.77 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB61))),
% 48.65/31.77 inference(quant_inst,[status(thm)],[])).
% 48.65/31.77 tff(9172,plain,
% 48.65/31.77 ($false),
% 48.65/31.77 inference(unit_resolution,[status(thm)],[9171, 16, 9170])).
% 48.65/31.77 tff(9173,plain,(~v26(constB61)), inference(lemma,lemma(discharge,[]))).
% 48.65/31.77 tff(9174,plain,
% 48.65/31.77 (((~![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))),
% 48.65/31.77 inference(rewrite,[status(thm)],[])).
% 48.65/31.77 tff(9175,plain,
% 48.65/31.77 ((v26(constB61) | v130(constB61, bitIndex1) | (~v127(constB61, bitIndex1))) <=> ((~v127(constB61, bitIndex1)) | v26(constB61) | v130(constB61, bitIndex1))),
% 48.65/31.77 inference(rewrite,[status(thm)],[])).
% 48.65/31.77 tff(9176,plain,
% 48.65/31.77 (((~![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)))),
% 48.65/31.77 inference(monotonicity,[status(thm)],[9175])).
% 48.65/31.77 tff(9177,plain,
% 48.65/31.77 (((~![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))),
% 48.65/31.77 inference(transitivity,[status(thm)],[9176, 9174])).
% 48.65/31.77 tff(9178,plain,
% 48.65/31.77 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB61) | v130(constB61, bitIndex1) | (~v127(constB61, bitIndex1)))),
% 48.65/31.77 inference(quant_inst,[status(thm)],[])).
% 48.65/31.77 tff(9179,plain,
% 48.65/31.77 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB61, bitIndex1)) | v26(constB61) | v130(constB61, bitIndex1)),
% 48.65/31.77 inference(modus_ponens,[status(thm)],[9178, 9177])).
% 48.65/31.77 tff(9180,plain,
% 48.65/31.77 ((~v127(constB61, bitIndex1)) | v130(constB61, bitIndex1)),
% 48.65/31.77 inference(unit_resolution,[status(thm)],[9179, 450, 9173])).
% 48.65/31.77 tff(9181,plain,
% 48.65/31.77 (~v127(constB61, bitIndex1)),
% 48.65/31.77 inference(unit_resolution,[status(thm)],[9180, 9169])).
% 48.65/31.77 tff(9182,plain,
% 48.65/31.77 (((~![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)))),
% 48.65/31.77 inference(rewrite,[status(thm)],[])).
% 48.65/31.77 tff(9183,plain,
% 48.65/31.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB61, constB62)) | v127(constB61, bitIndex1) | (~v129(constB62, bitIndex1)))),
% 48.65/31.77 inference(quant_inst,[status(thm)],[])).
% 48.65/31.77 tff(9184,plain,
% 48.65/31.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB61, constB62)) | v127(constB61, bitIndex1) | (~v129(constB62, bitIndex1))),
% 48.65/31.77 inference(modus_ponens,[status(thm)],[9183, 9182])).
% 48.65/31.77 tff(9185,plain,
% 48.65/31.77 (v127(constB61, bitIndex1) | (~v129(constB62, bitIndex1))),
% 48.65/31.77 inference(unit_resolution,[status(thm)],[9184, 468, 9131])).
% 48.65/31.77 tff(9186,plain,
% 48.65/31.77 (~v129(constB62, bitIndex1)),
% 48.65/31.77 inference(unit_resolution,[status(thm)],[9185, 9181])).
% 48.65/31.77 tff(9187,plain,
% 48.65/31.77 (((~![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)))),
% 48.65/31.77 inference(rewrite,[status(thm)],[])).
% 48.65/31.77 tff(9188,plain,
% 48.65/31.77 (((~v90(constB62, bitIndex1)) | (~v100(constB62)) | v129(constB62, bitIndex1)) <=> ((~v90(constB62, bitIndex1)) | v129(constB62, bitIndex1) | (~v100(constB62)))),
% 48.65/31.77 inference(rewrite,[status(thm)],[])).
% 48.65/31.77 tff(9189,plain,
% 48.65/31.77 (((~![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))))),
% 48.65/31.77 inference(monotonicity,[status(thm)],[9188])).
% 48.65/31.77 tff(9190,plain,
% 48.65/31.77 (((~![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)))),
% 48.65/31.77 inference(transitivity,[status(thm)],[9189, 9187])).
% 48.65/31.77 tff(9191,plain,
% 48.65/31.77 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB62, bitIndex1)) | (~v100(constB62)) | v129(constB62, bitIndex1))),
% 48.65/31.77 inference(quant_inst,[status(thm)],[])).
% 48.65/31.77 tff(9192,plain,
% 48.65/31.77 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB62, bitIndex1)) | v129(constB62, bitIndex1) | (~v100(constB62))),
% 48.65/31.77 inference(modus_ponens,[status(thm)],[9191, 9190])).
% 48.65/31.77 tff(9193,plain,
% 48.65/31.77 ((~v90(constB62, bitIndex1)) | (~v100(constB62))),
% 48.65/31.77 inference(unit_resolution,[status(thm)],[9192, 483, 9186])).
% 48.65/31.77 tff(9194,plain,
% 48.65/31.77 (~v90(constB62, bitIndex1)),
% 48.65/31.77 inference(unit_resolution,[status(thm)],[9193, 9165])).
% 48.65/31.77 tff(9195,plain,
% 48.65/31.77 ((~v1(constB63)) <=> (~v1(constB63))),
% 48.65/31.77 inference(rewrite,[status(thm)],[])).
% 48.65/31.77 tff(9196,axiom,(~v1(constB63)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_63_1_1')).
% 48.65/31.77 tff(9197,plain,
% 48.65/31.77 (~v1(constB63)),
% 48.65/31.77 inference(modus_ponens,[status(thm)],[9196, 9195])).
% 48.65/31.77 tff(9198,plain,
% 48.65/31.77 (nextState(constB62, constB63) <=> nextState(constB62, constB63)),
% 48.65/31.77 inference(rewrite,[status(thm)],[])).
% 48.65/31.77 tff(9199,axiom,(nextState(constB62, constB63)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_62_1')).
% 48.65/31.77 tff(9200,plain,
% 48.65/31.77 (nextState(constB62, constB63)),
% 48.65/31.77 inference(modus_ponens,[status(thm)],[9199, 9198])).
% 48.65/31.77 tff(9201,plain,
% 48.65/31.77 (((~![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)))),
% 48.65/31.77 inference(rewrite,[status(thm)],[])).
% 48.65/31.77 tff(9202,plain,
% 48.65/31.77 (((~nextState(constB62, constB63)) | (~v101(constB63)) | v1(constB63)) <=> (v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63)))),
% 48.65/31.77 inference(rewrite,[status(thm)],[])).
% 48.65/31.77 tff(9203,plain,
% 48.65/31.77 (((~![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))))),
% 48.65/31.77 inference(monotonicity,[status(thm)],[9202])).
% 48.65/31.77 tff(9204,plain,
% 48.65/31.77 (((~![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)))),
% 48.65/31.77 inference(transitivity,[status(thm)],[9203, 9201])).
% 48.65/31.77 tff(9205,plain,
% 48.65/31.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB62, constB63)) | (~v101(constB63)) | v1(constB63))),
% 48.65/31.77 inference(quant_inst,[status(thm)],[])).
% 48.65/31.77 tff(9206,plain,
% 48.65/31.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63))),
% 48.65/31.77 inference(modus_ponens,[status(thm)],[9205, 9204])).
% 48.65/31.77 tff(9207,plain,
% 48.65/31.77 (~v101(constB63)),
% 48.65/31.77 inference(unit_resolution,[status(thm)],[9206, 49, 9200, 9197])).
% 48.65/31.77 tff(9208,plain,
% 48.65/31.77 (((~![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)))),
% 48.65/31.77 inference(rewrite,[status(thm)],[])).
% 48.65/31.77 tff(9209,plain,
% 48.65/31.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB62, constB63)) | v101(constB63) | (~v100(constB63)))),
% 48.65/31.77 inference(quant_inst,[status(thm)],[])).
% 48.65/31.77 tff(9210,plain,
% 48.65/31.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB62, constB63)) | v101(constB63) | (~v100(constB63))),
% 48.65/31.77 inference(modus_ponens,[status(thm)],[9209, 9208])).
% 48.65/31.77 tff(9211,plain,
% 48.65/31.77 (v101(constB63) | (~v100(constB63))),
% 48.65/31.77 inference(unit_resolution,[status(thm)],[9210, 66, 9200])).
% 48.65/31.77 tff(9212,plain,
% 48.65/31.77 (~v100(constB63)),
% 48.65/31.77 inference(unit_resolution,[status(thm)],[9211, 9207])).
% 48.65/31.77 tff(9213,plain,
% 48.65/31.77 (((~![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)))),
% 48.65/31.77 inference(rewrite,[status(thm)],[])).
% 48.65/31.77 tff(9214,plain,
% 48.65/31.77 (((~nextState(constB62, constB63)) | v90(constB62, bitIndex1) | v100(constB63) | (~v90(constB63, bitIndex1))) <=> (v90(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex1)))),
% 48.65/31.77 inference(rewrite,[status(thm)],[])).
% 48.65/31.77 tff(9215,plain,
% 48.65/31.77 (((~![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))))),
% 48.65/31.77 inference(monotonicity,[status(thm)],[9214])).
% 48.65/31.77 tff(9216,plain,
% 48.65/31.77 (((~![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)))),
% 48.65/31.77 inference(transitivity,[status(thm)],[9215, 9213])).
% 48.65/31.77 tff(9217,plain,
% 48.65/31.77 ((~![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)))),
% 48.65/31.77 inference(quant_inst,[status(thm)],[])).
% 48.65/31.77 tff(9218,plain,
% 48.65/31.77 ((~![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))),
% 48.65/31.77 inference(modus_ponens,[status(thm)],[9217, 9216])).
% 48.65/31.77 tff(9219,plain,
% 48.65/31.77 (v90(constB62, bitIndex1) | v100(constB63) | (~v90(constB63, bitIndex1))),
% 48.65/31.77 inference(unit_resolution,[status(thm)],[9218, 102, 9200])).
% 48.65/31.77 tff(9220,plain,
% 48.65/31.77 (v90(constB62, bitIndex1) | (~v90(constB63, bitIndex1))),
% 48.65/31.77 inference(unit_resolution,[status(thm)],[9219, 9212])).
% 48.65/31.77 tff(9221,plain,
% 48.65/31.77 (~v90(constB63, bitIndex1)),
% 48.65/31.77 inference(unit_resolution,[status(thm)],[9220, 9194])).
% 48.65/31.77 tff(9222,assumption,(~v114(constB63)), introduced(assumption)).
% 48.65/31.77 tff(9223,plain,
% 48.65/31.77 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB63) | (~v115(constB63)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB63) | (~v115(constB63)))),
% 48.65/31.77 inference(rewrite,[status(thm)],[])).
% 48.65/31.77 tff(9224,plain,
% 48.65/31.77 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB63) | (~v115(constB63)))),
% 48.65/31.77 inference(quant_inst,[status(thm)],[])).
% 48.65/31.77 tff(9225,plain,
% 48.65/31.77 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB63) | (~v115(constB63))),
% 48.65/31.77 inference(modus_ponens,[status(thm)],[9224, 9223])).
% 48.65/31.77 tff(9226,plain,
% 48.65/31.77 (~v115(constB63)),
% 48.65/31.77 inference(unit_resolution,[status(thm)],[9225, 199, 9222])).
% 48.65/31.77 tff(9227,plain,
% 48.65/31.77 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB63) | (~v123(constB63)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB63) | (~v123(constB63)))),
% 48.65/31.77 inference(rewrite,[status(thm)],[])).
% 48.65/31.77 tff(9228,plain,
% 48.65/31.77 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB63) | (~v123(constB63)))),
% 48.65/31.77 inference(quant_inst,[status(thm)],[])).
% 48.65/31.77 tff(9229,plain,
% 48.65/31.77 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB63) | (~v123(constB63))),
% 48.65/31.77 inference(modus_ponens,[status(thm)],[9228, 9227])).
% 48.65/31.77 tff(9230,plain,
% 48.65/31.77 (~v123(constB63)),
% 48.65/31.77 inference(unit_resolution,[status(thm)],[9229, 595, 9226])).
% 48.65/31.77 tff(9231,plain,
% 48.65/31.77 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB63) | (~v116(constB63)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB63) | (~v116(constB63)))),
% 48.65/31.77 inference(rewrite,[status(thm)],[])).
% 48.65/31.77 tff(9232,plain,
% 48.65/31.77 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB63) | (~v116(constB63)))),
% 48.65/31.77 inference(quant_inst,[status(thm)],[])).
% 48.65/31.77 tff(9233,plain,
% 48.65/31.77 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB63) | (~v116(constB63))),
% 48.65/31.77 inference(modus_ponens,[status(thm)],[9232, 9231])).
% 48.65/31.77 tff(9234,plain,
% 48.65/31.77 (~v116(constB63)),
% 48.65/31.77 inference(unit_resolution,[status(thm)],[9233, 188, 9226])).
% 48.65/31.77 tff(9235,plain,
% 48.65/31.77 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB63) | (~v117(constB63)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB63) | (~v117(constB63)))),
% 48.65/31.77 inference(rewrite,[status(thm)],[])).
% 48.65/31.77 tff(9236,plain,
% 48.65/31.77 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB63) | (~v117(constB63)))),
% 48.65/31.77 inference(quant_inst,[status(thm)],[])).
% 48.65/31.77 tff(9237,plain,
% 48.65/31.77 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB63) | (~v117(constB63))),
% 48.65/31.77 inference(modus_ponens,[status(thm)],[9236, 9235])).
% 48.65/31.77 tff(9238,plain,
% 48.65/31.77 (~v117(constB63)),
% 48.65/31.77 inference(unit_resolution,[status(thm)],[9237, 177, 9234])).
% 48.65/31.77 tff(9239,plain,
% 48.65/31.77 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB63) | (~v118(constB63)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB63) | (~v118(constB63)))),
% 48.65/31.77 inference(rewrite,[status(thm)],[])).
% 48.65/31.77 tff(9240,plain,
% 48.65/31.77 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB63) | (~v118(constB63)))),
% 48.65/31.77 inference(quant_inst,[status(thm)],[])).
% 48.65/31.77 tff(9241,plain,
% 48.65/31.77 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB63) | (~v118(constB63))),
% 48.65/31.77 inference(modus_ponens,[status(thm)],[9240, 9239])).
% 48.65/31.77 tff(9242,plain,
% 48.65/31.77 (~v118(constB63)),
% 48.65/31.77 inference(unit_resolution,[status(thm)],[9241, 166, 9238])).
% 48.65/31.77 tff(9243,plain,
% 48.65/31.77 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB63) | (~v120(constB63)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB63) | (~v120(constB63)))),
% 48.65/31.77 inference(rewrite,[status(thm)],[])).
% 48.65/31.77 tff(9244,plain,
% 48.65/31.77 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB63) | (~v120(constB63)))),
% 48.65/31.77 inference(quant_inst,[status(thm)],[])).
% 48.65/31.77 tff(9245,plain,
% 48.65/31.77 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB63) | (~v120(constB63))),
% 48.65/31.77 inference(modus_ponens,[status(thm)],[9244, 9243])).
% 48.65/31.77 tff(9246,plain,
% 48.65/31.77 (~v120(constB63)),
% 48.65/31.77 inference(unit_resolution,[status(thm)],[9245, 1302, 9242])).
% 48.65/31.77 tff(9247,assumption,(~v90(constB63, bitIndex1)), introduced(assumption)).
% 48.65/31.77 tff(9248,plain,
% 48.65/31.77 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB63) | (~v119(constB63)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB63) | (~v119(constB63)))),
% 48.65/31.77 inference(rewrite,[status(thm)],[])).
% 48.65/31.77 tff(9249,plain,
% 48.65/31.77 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB63) | (~v119(constB63)))),
% 48.65/31.77 inference(quant_inst,[status(thm)],[])).
% 48.65/31.77 tff(9250,plain,
% 48.65/31.77 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB63) | (~v119(constB63))),
% 48.65/31.77 inference(modus_ponens,[status(thm)],[9249, 9248])).
% 48.65/31.77 tff(9251,plain,
% 48.65/31.77 (~v119(constB63)),
% 48.65/31.77 inference(unit_resolution,[status(thm)],[9250, 155, 9242])).
% 48.65/31.77 tff(9252,assumption,(~v119(constB63)), introduced(assumption)).
% 48.65/31.77 tff(9253,assumption,(~v90(constB63, bitIndex2)), introduced(assumption)).
% 48.65/31.77 tff(9254,assumption,(~v120(constB63)), introduced(assumption)).
% 48.65/31.77 tff(9255,plain,
% 48.65/31.77 (((~![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))),
% 48.65/31.77 inference(rewrite,[status(thm)],[])).
% 48.65/31.77 tff(9256,plain,
% 48.65/31.77 (((~v90(constB63, bitIndex0)) | v120(constB63) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2)) <=> ((~v90(constB63, bitIndex0)) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2) | v120(constB63))),
% 48.65/31.77 inference(rewrite,[status(thm)],[])).
% 48.65/31.77 tff(9257,plain,
% 48.65/31.77 (((~![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)))),
% 48.65/31.77 inference(monotonicity,[status(thm)],[9256])).
% 48.65/31.77 tff(9258,plain,
% 48.65/31.77 (((~![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))),
% 48.65/31.78 inference(transitivity,[status(thm)],[9257, 9255])).
% 48.65/31.78 tff(9259,plain,
% 48.65/31.78 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB63, bitIndex0)) | v120(constB63) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2))),
% 48.65/31.78 inference(quant_inst,[status(thm)],[])).
% 48.65/31.78 tff(9260,plain,
% 48.65/31.78 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB63, bitIndex0)) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2) | v120(constB63)),
% 48.65/31.78 inference(modus_ponens,[status(thm)],[9259, 9258])).
% 48.65/31.78 tff(9261,plain,
% 48.65/31.78 ((~v90(constB63, bitIndex0)) | v90(constB63, bitIndex2) | v120(constB63)),
% 48.65/31.78 inference(unit_resolution,[status(thm)],[9260, 1285, 9247])).
% 48.65/31.78 tff(9262,plain,
% 48.65/31.78 (~v90(constB63, bitIndex0)),
% 48.65/31.78 inference(unit_resolution,[status(thm)],[9261, 9253, 9254])).
% 48.65/31.78 tff(9263,plain,
% 48.65/31.78 (((~![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))),
% 48.65/31.78 inference(rewrite,[status(thm)],[])).
% 48.65/31.78 tff(9264,plain,
% 48.65/31.78 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB63) | v90(constB63, bitIndex0) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2))),
% 48.65/31.78 inference(quant_inst,[status(thm)],[])).
% 48.65/31.78 tff(9265,plain,
% 48.65/31.78 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB63) | v90(constB63, bitIndex0) | v90(constB63, bitIndex1) | v90(constB63, bitIndex2)),
% 48.65/31.78 inference(modus_ponens,[status(thm)],[9264, 9263])).
% 48.65/31.78 tff(9266,plain,
% 48.65/31.78 (v119(constB63) | v90(constB63, bitIndex0) | v90(constB63, bitIndex2)),
% 48.65/31.78 inference(unit_resolution,[status(thm)],[9265, 144, 9247])).
% 48.65/31.78 tff(9267,plain,
% 48.65/31.78 ($false),
% 48.65/31.78 inference(unit_resolution,[status(thm)],[9266, 9262, 9253, 9252])).
% 48.65/31.78 tff(9268,plain,(v90(constB63, bitIndex2) | v119(constB63) | v90(constB63, bitIndex1) | v120(constB63)), inference(lemma,lemma(discharge,[]))).
% 48.65/31.78 tff(9269,plain,
% 48.65/31.78 (v90(constB63, bitIndex2)),
% 48.65/31.78 inference(unit_resolution,[status(thm)],[9268, 9251, 9247, 9246])).
% 48.65/31.78 tff(9270,plain,
% 48.65/31.78 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB63) | (~v124(constB63)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB63) | (~v124(constB63)))),
% 48.65/31.78 inference(rewrite,[status(thm)],[])).
% 48.65/31.78 tff(9271,plain,
% 48.65/31.78 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB63) | (~v124(constB63)))),
% 48.65/31.78 inference(quant_inst,[status(thm)],[])).
% 48.65/31.78 tff(9272,plain,
% 48.65/31.78 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB63) | (~v124(constB63))),
% 48.65/31.78 inference(modus_ponens,[status(thm)],[9271, 9270])).
% 48.65/31.78 tff(9273,plain,
% 48.65/31.78 (~v124(constB63)),
% 48.65/31.78 inference(unit_resolution,[status(thm)],[9272, 2631, 9222])).
% 48.65/31.78 tff(9274,plain,
% 48.65/31.78 (((~![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))),
% 48.65/31.78 inference(rewrite,[status(thm)],[])).
% 48.65/31.78 tff(9275,plain,
% 48.65/31.78 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB63, bitIndex0)) | v90(constB63, bitIndex1) | (~v90(constB63, bitIndex2)) | v124(constB63))),
% 48.65/31.78 inference(quant_inst,[status(thm)],[])).
% 48.65/31.78 tff(9276,plain,
% 48.65/31.78 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB63, bitIndex0)) | v90(constB63, bitIndex1) | (~v90(constB63, bitIndex2)) | v124(constB63)),
% 48.65/31.78 inference(modus_ponens,[status(thm)],[9275, 9274])).
% 48.65/31.78 tff(9277,plain,
% 48.65/31.78 ((~v90(constB63, bitIndex0)) | (~v90(constB63, bitIndex2)) | v124(constB63)),
% 48.65/31.78 inference(unit_resolution,[status(thm)],[9276, 2663, 9247])).
% 48.65/31.78 tff(9278,plain,
% 48.65/31.78 (~v90(constB63, bitIndex0)),
% 48.65/31.78 inference(unit_resolution,[status(thm)],[9277, 9269, 9273])).
% 48.65/31.78 tff(9279,plain,
% 48.65/31.78 (((~![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))),
% 48.65/31.78 inference(rewrite,[status(thm)],[])).
% 48.65/31.78 tff(9280,plain,
% 48.65/31.78 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB63, bitIndex0) | v90(constB63, bitIndex1) | (~v90(constB63, bitIndex2)) | v123(constB63))),
% 48.65/31.78 inference(quant_inst,[status(thm)],[])).
% 48.65/31.78 tff(9281,plain,
% 48.65/31.78 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB63, bitIndex0) | v90(constB63, bitIndex1) | (~v90(constB63, bitIndex2)) | v123(constB63)),
% 48.65/31.78 inference(modus_ponens,[status(thm)],[9280, 9279])).
% 48.65/31.78 tff(9282,plain,
% 48.65/31.78 (v90(constB63, bitIndex0) | (~v90(constB63, bitIndex2)) | v123(constB63)),
% 48.65/31.78 inference(unit_resolution,[status(thm)],[9281, 584, 9247])).
% 48.65/31.78 tff(9283,plain,
% 48.65/31.78 ($false),
% 48.65/31.78 inference(unit_resolution,[status(thm)],[9282, 9278, 9269, 9230])).
% 48.65/31.78 tff(9284,plain,(v114(constB63) | v90(constB63, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 48.65/31.78 tff(9285,plain,
% 48.65/31.78 (v114(constB63)),
% 48.65/31.78 inference(unit_resolution,[status(thm)],[9284, 9221])).
% 48.65/31.78 tff(9286,plain,
% 48.65/31.78 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB63) | (~v114(constB63)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB63) | (~v114(constB63)))),
% 48.65/31.78 inference(rewrite,[status(thm)],[])).
% 48.65/31.78 tff(9287,plain,
% 48.65/31.78 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB63) | (~v114(constB63)))),
% 48.65/31.78 inference(quant_inst,[status(thm)],[])).
% 48.65/31.78 tff(9288,plain,
% 48.65/31.78 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB63) | (~v114(constB63))),
% 48.65/31.78 inference(modus_ponens,[status(thm)],[9287, 9286])).
% 48.65/31.78 tff(9289,plain,
% 48.65/31.78 (v113(constB63)),
% 48.65/31.78 inference(unit_resolution,[status(thm)],[9288, 210, 9285])).
% 48.65/31.78 tff(9290,assumption,(v26(constB63)), introduced(assumption)).
% 48.65/31.78 tff(9291,plain,
% 48.65/31.78 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB63))),
% 48.65/31.78 inference(quant_inst,[status(thm)],[])).
% 48.65/31.78 tff(9292,plain,
% 48.65/31.78 ($false),
% 48.65/31.78 inference(unit_resolution,[status(thm)],[9291, 16, 9290])).
% 48.65/31.78 tff(9293,plain,(~v26(constB63)), inference(lemma,lemma(discharge,[]))).
% 48.65/31.78 tff(9294,plain,
% 48.65/31.78 (((~![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)))),
% 48.65/31.78 inference(rewrite,[status(thm)],[])).
% 48.65/31.78 tff(9295,plain,
% 48.65/31.78 ((v26(constB63) | (~v113(constB63)) | v112(constB63)) <=> (v26(constB63) | v112(constB63) | (~v113(constB63)))),
% 48.65/31.78 inference(rewrite,[status(thm)],[])).
% 48.65/31.78 tff(9296,plain,
% 48.65/31.78 (((~![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))))),
% 48.65/31.78 inference(monotonicity,[status(thm)],[9295])).
% 48.65/31.78 tff(9297,plain,
% 48.65/31.78 (((~![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)))),
% 48.65/31.78 inference(transitivity,[status(thm)],[9296, 9294])).
% 48.65/31.78 tff(9298,plain,
% 48.65/31.78 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB63) | (~v113(constB63)) | v112(constB63))),
% 48.65/31.78 inference(quant_inst,[status(thm)],[])).
% 48.65/31.78 tff(9299,plain,
% 48.65/31.78 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB63) | v112(constB63) | (~v113(constB63))),
% 48.65/31.78 inference(modus_ponens,[status(thm)],[9298, 9297])).
% 48.65/31.78 tff(9300,plain,
% 48.65/31.78 (v112(constB63) | (~v113(constB63))),
% 48.65/31.78 inference(unit_resolution,[status(thm)],[9299, 224, 9293])).
% 48.65/31.78 tff(9301,plain,
% 48.65/31.78 (v112(constB63)),
% 48.65/31.78 inference(unit_resolution,[status(thm)],[9300, 9289])).
% 48.65/31.78 tff(9302,plain,
% 48.65/31.78 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB63) | (~v112(constB63)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB63) | (~v112(constB63)))),
% 48.65/31.78 inference(rewrite,[status(thm)],[])).
% 48.65/31.78 tff(9303,plain,
% 48.65/31.78 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB63) | (~v112(constB63)))),
% 48.65/31.78 inference(quant_inst,[status(thm)],[])).
% 48.65/31.78 tff(9304,plain,
% 48.65/31.78 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB63) | (~v112(constB63))),
% 48.65/31.78 inference(modus_ponens,[status(thm)],[9303, 9302])).
% 48.65/31.78 tff(9305,plain,
% 48.65/31.78 (v108(constB63)),
% 48.65/31.78 inference(unit_resolution,[status(thm)],[9304, 236, 9301])).
% 48.65/31.78 tff(9306,plain,
% 48.65/31.78 (nextState(constB63, constB64) <=> nextState(constB63, constB64)),
% 48.65/31.78 inference(rewrite,[status(thm)],[])).
% 48.65/31.78 tff(9307,axiom,(nextState(constB63, constB64)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_63_1')).
% 48.65/31.78 tff(9308,plain,
% 48.65/31.78 (nextState(constB63, constB64)),
% 48.65/31.78 inference(modus_ponens,[status(thm)],[9307, 9306])).
% 48.65/31.78 tff(9309,plain,
% 48.65/31.78 (((~![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)))),
% 48.65/31.78 inference(rewrite,[status(thm)],[])).
% 48.65/31.78 tff(9310,plain,
% 48.65/31.78 (((~nextState(constB63, constB64)) | (~v108(constB63)) | v110(constB64)) <=> ((~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63)))),
% 48.65/31.78 inference(rewrite,[status(thm)],[])).
% 48.65/31.78 tff(9311,plain,
% 48.65/31.78 (((~![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))))),
% 48.65/31.78 inference(monotonicity,[status(thm)],[9310])).
% 48.65/31.78 tff(9312,plain,
% 48.65/31.78 (((~![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)))),
% 48.65/31.78 inference(transitivity,[status(thm)],[9311, 9309])).
% 48.65/31.78 tff(9313,plain,
% 48.65/31.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB63, constB64)) | (~v108(constB63)) | v110(constB64))),
% 48.65/31.78 inference(quant_inst,[status(thm)],[])).
% 48.65/31.78 tff(9314,plain,
% 48.65/31.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63))),
% 48.65/31.78 inference(modus_ponens,[status(thm)],[9313, 9312])).
% 48.65/31.78 tff(9315,plain,
% 48.65/31.78 (v110(constB64) | (~v108(constB63))),
% 48.65/31.78 inference(unit_resolution,[status(thm)],[9314, 253, 9308])).
% 48.65/31.78 tff(9316,plain,
% 48.65/31.78 (v110(constB64)),
% 48.65/31.78 inference(unit_resolution,[status(thm)],[9315, 9305])).
% 48.65/31.78 tff(9317,plain,
% 48.65/31.78 (((~![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)))),
% 48.65/31.78 inference(rewrite,[status(thm)],[])).
% 48.65/31.78 tff(9318,plain,
% 48.65/31.78 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB63) | (~nextState(constB63, constB64)) | (~v104(constB64)))),
% 48.65/31.78 inference(quant_inst,[status(thm)],[])).
% 48.65/31.78 tff(9319,plain,
% 48.65/31.78 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB63) | (~nextState(constB63, constB64)) | (~v104(constB64))),
% 48.65/31.78 inference(modus_ponens,[status(thm)],[9318, 9317])).
% 48.65/31.78 tff(9320,plain,
% 48.65/31.78 (~v104(constB64)),
% 48.65/31.78 inference(unit_resolution,[status(thm)],[9319, 271, 9308, 9197])).
% 48.65/31.78 tff(9321,plain,
% 48.65/31.78 (((~![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))),
% 48.65/31.78 inference(rewrite,[status(thm)],[])).
% 48.65/31.78 tff(9322,plain,
% 48.65/31.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB63, constB64)) | v102(constB64) | v104(constB64))),
% 48.65/31.78 inference(quant_inst,[status(thm)],[])).
% 48.65/31.78 tff(9323,plain,
% 48.65/31.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB63, constB64)) | v102(constB64) | v104(constB64)),
% 48.65/31.78 inference(modus_ponens,[status(thm)],[9322, 9321])).
% 48.65/31.78 tff(9324,plain,
% 48.65/31.78 (v102(constB64) | v104(constB64)),
% 48.65/31.78 inference(unit_resolution,[status(thm)],[9323, 285, 9308])).
% 48.65/31.78 tff(9325,plain,
% 48.65/31.78 (v102(constB64)),
% 48.65/31.78 inference(unit_resolution,[status(thm)],[9324, 9320])).
% 48.65/31.78 tff(9326,plain,
% 48.65/31.78 (v1(constB64) <=> v1(constB64)),
% 48.65/31.78 inference(rewrite,[status(thm)],[])).
% 48.65/31.78 tff(9327,axiom,(v1(constB64)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_64_1')).
% 48.65/31.78 tff(9328,plain,
% 48.65/31.78 (v1(constB64)),
% 48.65/31.78 inference(modus_ponens,[status(thm)],[9327, 9326])).
% 48.65/31.78 tff(9329,plain,
% 48.65/31.78 (((~![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)))),
% 48.65/31.78 inference(rewrite,[status(thm)],[])).
% 48.65/31.78 tff(9330,plain,
% 48.65/31.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB63, constB64)) | v101(constB64) | (~v102(constB64)) | (~v1(constB64)))),
% 48.65/31.78 inference(quant_inst,[status(thm)],[])).
% 48.65/31.78 tff(9331,plain,
% 48.65/31.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB63, constB64)) | v101(constB64) | (~v102(constB64)) | (~v1(constB64))),
% 48.65/31.78 inference(modus_ponens,[status(thm)],[9330, 9329])).
% 48.65/31.78 tff(9332,plain,
% 48.65/31.78 (v101(constB64) | (~v102(constB64))),
% 48.65/31.78 inference(unit_resolution,[status(thm)],[9331, 303, 9308, 9328])).
% 48.65/31.78 tff(9333,plain,
% 48.65/31.78 (v101(constB64)),
% 48.65/31.78 inference(unit_resolution,[status(thm)],[9332, 9325])).
% 48.65/31.78 tff(9334,plain,
% 48.65/31.78 (((~![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)))),
% 48.73/31.78 inference(rewrite,[status(thm)],[])).
% 48.73/31.78 tff(9335,plain,
% 48.73/31.78 (((~nextState(constB63, constB64)) | (~v101(constB64)) | (~v110(constB64)) | v100(constB64)) <=> ((~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64)))),
% 48.73/31.78 inference(rewrite,[status(thm)],[])).
% 48.73/31.78 tff(9336,plain,
% 48.73/31.78 (((~![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))))),
% 48.73/31.78 inference(monotonicity,[status(thm)],[9335])).
% 48.73/31.78 tff(9337,plain,
% 48.73/31.78 (((~![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)))),
% 48.73/31.78 inference(transitivity,[status(thm)],[9336, 9334])).
% 48.73/31.78 tff(9338,plain,
% 48.73/31.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB63, constB64)) | (~v101(constB64)) | (~v110(constB64)) | v100(constB64))),
% 48.73/31.78 inference(quant_inst,[status(thm)],[])).
% 48.73/31.78 tff(9339,plain,
% 48.73/31.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64))),
% 48.73/31.78 inference(modus_ponens,[status(thm)],[9338, 9337])).
% 48.73/31.78 tff(9340,plain,
% 48.73/31.78 (v100(constB64) | (~v101(constB64)) | (~v110(constB64))),
% 48.73/31.78 inference(unit_resolution,[status(thm)],[9339, 318, 9308])).
% 48.73/31.78 tff(9341,plain,
% 48.73/31.78 (v100(constB64) | (~v110(constB64))),
% 48.73/31.78 inference(unit_resolution,[status(thm)],[9340, 9333])).
% 48.73/31.78 tff(9342,plain,
% 48.73/31.78 (v100(constB64)),
% 48.73/31.78 inference(unit_resolution,[status(thm)],[9341, 9316])).
% 48.73/31.78 tff(9343,plain,
% 48.73/31.78 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB61)) | v130(constB61, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB61)) | v130(constB61, bitIndex2))),
% 48.73/31.78 inference(rewrite,[status(thm)],[])).
% 48.73/31.78 tff(9344,plain,
% 48.73/31.78 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB61)) | v130(constB61, bitIndex2))),
% 48.73/31.78 inference(quant_inst,[status(thm)],[])).
% 48.73/31.78 tff(9345,plain,
% 48.73/31.78 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB61)) | v130(constB61, bitIndex2)),
% 48.73/31.78 inference(modus_ponens,[status(thm)],[9344, 9343])).
% 48.73/31.78 tff(9346,plain,
% 48.73/31.78 (v130(constB61, bitIndex2)),
% 48.73/31.78 inference(unit_resolution,[status(thm)],[9345, 1876, 9092])).
% 48.73/31.78 tff(9347,plain,
% 48.73/31.78 (((~![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))) | v26(constB61) | (~v130(constB61, bitIndex2)) | v127(constB61, bitIndex2))),
% 48.73/31.78 inference(rewrite,[status(thm)],[])).
% 48.73/31.78 tff(9348,plain,
% 48.73/31.78 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB61) | (~v130(constB61, bitIndex2)) | v127(constB61, bitIndex2))),
% 48.73/31.78 inference(quant_inst,[status(thm)],[])).
% 48.73/31.78 tff(9349,plain,
% 48.73/31.78 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB61) | (~v130(constB61, bitIndex2)) | v127(constB61, bitIndex2)),
% 48.73/31.78 inference(modus_ponens,[status(thm)],[9348, 9347])).
% 48.73/31.78 tff(9350,plain,
% 48.73/31.78 ((~v130(constB61, bitIndex2)) | v127(constB61, bitIndex2)),
% 48.73/31.78 inference(unit_resolution,[status(thm)],[9349, 351, 9173])).
% 48.73/31.78 tff(9351,plain,
% 48.73/31.78 (v127(constB61, bitIndex2)),
% 48.73/31.78 inference(unit_resolution,[status(thm)],[9350, 9346])).
% 48.73/31.78 tff(9352,plain,
% 48.73/31.78 (((~![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))),
% 48.73/31.78 inference(rewrite,[status(thm)],[])).
% 48.73/31.78 tff(9353,plain,
% 48.73/31.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB61, constB62)) | (~v127(constB61, bitIndex2)) | v129(constB62, bitIndex2))),
% 48.73/31.78 inference(quant_inst,[status(thm)],[])).
% 48.73/31.78 tff(9354,plain,
% 48.73/31.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB61, constB62)) | (~v127(constB61, bitIndex2)) | v129(constB62, bitIndex2)),
% 48.73/31.78 inference(modus_ponens,[status(thm)],[9353, 9352])).
% 48.73/31.78 tff(9355,plain,
% 48.73/31.78 ((~v127(constB61, bitIndex2)) | v129(constB62, bitIndex2)),
% 48.73/31.78 inference(unit_resolution,[status(thm)],[9354, 366, 9131])).
% 48.73/31.78 tff(9356,plain,
% 48.73/31.78 (v129(constB62, bitIndex2)),
% 48.73/31.78 inference(unit_resolution,[status(thm)],[9355, 9351])).
% 48.73/31.78 tff(9357,plain,
% 48.73/31.78 (((~![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)))),
% 48.73/31.78 inference(rewrite,[status(thm)],[])).
% 48.73/31.78 tff(9358,plain,
% 48.73/31.78 ((v90(constB62, bitIndex2) | (~v100(constB62)) | (~v129(constB62, bitIndex2))) <=> (v90(constB62, bitIndex2) | (~v129(constB62, bitIndex2)) | (~v100(constB62)))),
% 48.73/31.78 inference(rewrite,[status(thm)],[])).
% 48.73/31.78 tff(9359,plain,
% 48.73/31.78 (((~![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))))),
% 48.73/31.78 inference(monotonicity,[status(thm)],[9358])).
% 48.73/31.78 tff(9360,plain,
% 48.73/31.78 (((~![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)))),
% 48.73/31.78 inference(transitivity,[status(thm)],[9359, 9357])).
% 48.73/31.78 tff(9361,plain,
% 48.73/31.78 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB62, bitIndex2) | (~v100(constB62)) | (~v129(constB62, bitIndex2)))),
% 48.73/31.78 inference(quant_inst,[status(thm)],[])).
% 48.73/31.78 tff(9362,plain,
% 48.73/31.78 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB62, bitIndex2) | (~v129(constB62, bitIndex2)) | (~v100(constB62))),
% 48.73/31.78 inference(modus_ponens,[status(thm)],[9361, 9360])).
% 48.73/31.78 tff(9363,plain,
% 48.73/31.78 (v90(constB62, bitIndex2) | (~v100(constB62))),
% 48.73/31.78 inference(unit_resolution,[status(thm)],[9362, 381, 9356])).
% 48.73/31.78 tff(9364,plain,
% 48.73/31.78 (v90(constB62, bitIndex2)),
% 48.73/31.78 inference(unit_resolution,[status(thm)],[9363, 9165])).
% 48.73/31.78 tff(9365,plain,
% 48.73/31.78 (((~![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))),
% 48.73/31.78 inference(rewrite,[status(thm)],[])).
% 48.73/31.78 tff(9366,plain,
% 48.73/31.78 (((~nextState(constB62, constB63)) | (~v90(constB62, bitIndex2)) | v100(constB63) | v90(constB63, bitIndex2)) <=> ((~v90(constB62, bitIndex2)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, bitIndex2))),
% 48.73/31.78 inference(rewrite,[status(thm)],[])).
% 48.73/31.78 tff(9367,plain,
% 48.73/31.78 (((~![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)))),
% 48.73/31.78 inference(monotonicity,[status(thm)],[9366])).
% 48.73/31.78 tff(9368,plain,
% 48.73/31.78 (((~![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))),
% 48.73/31.78 inference(transitivity,[status(thm)],[9367, 9365])).
% 48.73/31.78 tff(9369,plain,
% 48.73/31.78 ((~![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))),
% 48.73/31.78 inference(quant_inst,[status(thm)],[])).
% 48.73/31.78 tff(9370,plain,
% 48.73/31.78 ((~![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)),
% 48.73/31.78 inference(modus_ponens,[status(thm)],[9369, 9368])).
% 48.73/31.78 tff(9371,plain,
% 48.73/31.78 ((~v90(constB62, bitIndex2)) | v100(constB63) | v90(constB63, bitIndex2)),
% 48.73/31.78 inference(unit_resolution,[status(thm)],[9370, 417, 9200])).
% 48.73/31.78 tff(9372,plain,
% 48.73/31.78 ((~v90(constB62, bitIndex2)) | v90(constB63, bitIndex2)),
% 48.73/31.78 inference(unit_resolution,[status(thm)],[9371, 9212])).
% 48.73/31.78 tff(9373,plain,
% 48.73/31.78 (v90(constB63, bitIndex2)),
% 48.73/31.78 inference(unit_resolution,[status(thm)],[9372, 9364])).
% 48.73/31.78 tff(9374,plain,
% 48.73/31.78 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB61)) | (~v130(constB61, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB61)) | (~v130(constB61, bitIndex0)))),
% 48.73/31.78 inference(rewrite,[status(thm)],[])).
% 48.73/31.78 tff(9375,plain,
% 48.73/31.78 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB61)) | (~v130(constB61, bitIndex0)))),
% 48.73/31.78 inference(quant_inst,[status(thm)],[])).
% 48.73/31.78 tff(9376,plain,
% 48.73/31.78 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB61)) | (~v130(constB61, bitIndex0))),
% 48.73/31.78 inference(modus_ponens,[status(thm)],[9375, 9374])).
% 48.73/31.78 tff(9377,plain,
% 48.73/31.78 (~v130(constB61, bitIndex0)),
% 48.73/31.78 inference(unit_resolution,[status(thm)],[9376, 1997, 9092])).
% 48.73/31.78 tff(9378,plain,
% 48.73/31.78 (((~![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))),
% 48.73/31.78 inference(rewrite,[status(thm)],[])).
% 48.73/31.78 tff(9379,plain,
% 48.73/31.78 ((v26(constB61) | v130(constB61, bitIndex0) | (~v127(constB61, bitIndex0))) <=> ((~v127(constB61, bitIndex0)) | v26(constB61) | v130(constB61, bitIndex0))),
% 48.73/31.78 inference(rewrite,[status(thm)],[])).
% 48.73/31.78 tff(9380,plain,
% 48.73/31.78 (((~![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)))),
% 48.73/31.78 inference(monotonicity,[status(thm)],[9379])).
% 48.73/31.78 tff(9381,plain,
% 48.73/31.78 (((~![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))),
% 48.73/31.78 inference(transitivity,[status(thm)],[9380, 9378])).
% 48.73/31.78 tff(9382,plain,
% 48.73/31.78 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB61) | v130(constB61, bitIndex0) | (~v127(constB61, bitIndex0)))),
% 48.73/31.78 inference(quant_inst,[status(thm)],[])).
% 48.73/31.78 tff(9383,plain,
% 48.73/31.78 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB61, bitIndex0)) | v26(constB61) | v130(constB61, bitIndex0)),
% 48.73/31.78 inference(modus_ponens,[status(thm)],[9382, 9381])).
% 48.73/31.78 tff(9384,plain,
% 48.73/31.78 ((~v127(constB61, bitIndex0)) | v130(constB61, bitIndex0)),
% 48.73/31.78 inference(unit_resolution,[status(thm)],[9383, 524, 9173])).
% 48.73/31.78 tff(9385,plain,
% 48.73/31.78 (~v127(constB61, bitIndex0)),
% 48.73/31.78 inference(unit_resolution,[status(thm)],[9384, 9377])).
% 48.73/31.78 tff(9386,plain,
% 48.73/31.78 (((~![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)))),
% 48.73/31.78 inference(rewrite,[status(thm)],[])).
% 48.73/31.78 tff(9387,plain,
% 48.73/31.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB61, constB62)) | v127(constB61, bitIndex0) | (~v129(constB62, bitIndex0)))),
% 48.73/31.78 inference(quant_inst,[status(thm)],[])).
% 48.73/31.78 tff(9388,plain,
% 48.73/31.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB61, constB62)) | v127(constB61, bitIndex0) | (~v129(constB62, bitIndex0))),
% 48.73/31.78 inference(modus_ponens,[status(thm)],[9387, 9386])).
% 48.73/31.78 tff(9389,plain,
% 48.73/31.78 (v127(constB61, bitIndex0) | (~v129(constB62, bitIndex0))),
% 48.73/31.78 inference(unit_resolution,[status(thm)],[9388, 542, 9131])).
% 48.73/31.78 tff(9390,plain,
% 48.73/31.78 (~v129(constB62, bitIndex0)),
% 48.73/31.78 inference(unit_resolution,[status(thm)],[9389, 9385])).
% 48.73/31.78 tff(9391,plain,
% 48.73/31.78 (((~![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)))),
% 48.73/31.78 inference(rewrite,[status(thm)],[])).
% 48.73/31.78 tff(9392,plain,
% 48.73/31.78 (((~v90(constB62, bitIndex0)) | (~v100(constB62)) | v129(constB62, bitIndex0)) <=> ((~v90(constB62, bitIndex0)) | v129(constB62, bitIndex0) | (~v100(constB62)))),
% 48.73/31.78 inference(rewrite,[status(thm)],[])).
% 48.73/31.78 tff(9393,plain,
% 48.73/31.78 (((~![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))))),
% 48.73/31.79 inference(monotonicity,[status(thm)],[9392])).
% 48.73/31.79 tff(9394,plain,
% 48.73/31.79 (((~![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)))),
% 48.73/31.79 inference(transitivity,[status(thm)],[9393, 9391])).
% 48.73/31.79 tff(9395,plain,
% 48.73/31.79 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB62, bitIndex0)) | (~v100(constB62)) | v129(constB62, bitIndex0))),
% 48.73/31.79 inference(quant_inst,[status(thm)],[])).
% 48.73/31.79 tff(9396,plain,
% 48.73/31.79 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB62, bitIndex0)) | v129(constB62, bitIndex0) | (~v100(constB62))),
% 48.73/31.79 inference(modus_ponens,[status(thm)],[9395, 9394])).
% 48.73/31.79 tff(9397,plain,
% 48.73/31.79 ((~v90(constB62, bitIndex0)) | (~v100(constB62))),
% 48.73/31.79 inference(unit_resolution,[status(thm)],[9396, 557, 9390])).
% 48.73/31.79 tff(9398,plain,
% 48.73/31.79 (~v90(constB62, bitIndex0)),
% 48.73/31.79 inference(unit_resolution,[status(thm)],[9397, 9165])).
% 48.73/31.79 tff(9399,plain,
% 48.73/31.79 (((~![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)))),
% 48.73/31.79 inference(rewrite,[status(thm)],[])).
% 48.73/31.79 tff(9400,plain,
% 48.73/31.79 (((~nextState(constB62, constB63)) | v90(constB62, bitIndex0) | v100(constB63) | (~v90(constB63, bitIndex0))) <=> (v90(constB62, bitIndex0) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex0)))),
% 48.73/31.79 inference(rewrite,[status(thm)],[])).
% 48.73/31.79 tff(9401,plain,
% 48.73/31.79 (((~![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))))),
% 48.73/31.79 inference(monotonicity,[status(thm)],[9400])).
% 48.73/31.79 tff(9402,plain,
% 48.73/31.79 (((~![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)))),
% 48.73/31.79 inference(transitivity,[status(thm)],[9401, 9399])).
% 48.73/31.79 tff(9403,plain,
% 48.73/31.79 ((~![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)))),
% 48.73/31.79 inference(quant_inst,[status(thm)],[])).
% 48.73/31.79 tff(9404,plain,
% 48.73/31.79 ((~![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))),
% 48.73/31.79 inference(modus_ponens,[status(thm)],[9403, 9402])).
% 48.73/31.79 tff(9405,plain,
% 48.73/31.79 (v90(constB62, bitIndex0) | v100(constB63) | (~v90(constB63, bitIndex0))),
% 48.73/31.79 inference(unit_resolution,[status(thm)],[9404, 123, 9200])).
% 48.73/31.79 tff(9406,plain,
% 48.73/31.79 (v90(constB62, bitIndex0) | (~v90(constB63, bitIndex0))),
% 48.73/31.79 inference(unit_resolution,[status(thm)],[9405, 9212])).
% 48.73/31.79 tff(9407,plain,
% 48.73/31.79 (~v90(constB63, bitIndex0)),
% 48.73/31.79 inference(unit_resolution,[status(thm)],[9406, 9398])).
% 48.73/31.79 tff(9408,plain,
% 48.73/31.79 (v123(constB63)),
% 48.73/31.79 inference(unit_resolution,[status(thm)],[9281, 584, 9407, 9221, 9373])).
% 48.73/31.79 tff(9409,plain,
% 48.73/31.79 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB63)) | v130(constB63, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB63)) | v130(constB63, bitIndex2))),
% 48.73/31.79 inference(rewrite,[status(thm)],[])).
% 48.73/31.79 tff(9410,plain,
% 48.73/31.79 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB63)) | v130(constB63, bitIndex2))),
% 48.73/31.79 inference(quant_inst,[status(thm)],[])).
% 48.73/31.79 tff(9411,plain,
% 48.73/31.79 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB63)) | v130(constB63, bitIndex2)),
% 48.73/31.79 inference(modus_ponens,[status(thm)],[9410, 9409])).
% 48.73/31.79 tff(9412,plain,
% 48.73/31.79 (v130(constB63, bitIndex2)),
% 48.73/31.79 inference(unit_resolution,[status(thm)],[9411, 836, 9408])).
% 48.73/31.79 tff(9413,plain,
% 48.73/31.79 (((~![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))) | v26(constB63) | (~v130(constB63, bitIndex2)) | v127(constB63, bitIndex2))),
% 48.73/31.79 inference(rewrite,[status(thm)],[])).
% 48.73/31.79 tff(9414,plain,
% 48.73/31.79 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB63) | (~v130(constB63, bitIndex2)) | v127(constB63, bitIndex2))),
% 48.73/31.79 inference(quant_inst,[status(thm)],[])).
% 48.73/31.79 tff(9415,plain,
% 48.73/31.79 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB63) | (~v130(constB63, bitIndex2)) | v127(constB63, bitIndex2)),
% 48.73/31.79 inference(modus_ponens,[status(thm)],[9414, 9413])).
% 48.73/31.79 tff(9416,plain,
% 48.73/31.79 ((~v130(constB63, bitIndex2)) | v127(constB63, bitIndex2)),
% 48.73/31.79 inference(unit_resolution,[status(thm)],[9415, 351, 9293])).
% 48.73/31.79 tff(9417,plain,
% 48.73/31.79 (v127(constB63, bitIndex2)),
% 48.73/31.79 inference(unit_resolution,[status(thm)],[9416, 9412])).
% 48.73/31.79 tff(9418,plain,
% 48.73/31.79 (((~![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))),
% 48.73/31.79 inference(rewrite,[status(thm)],[])).
% 48.73/31.79 tff(9419,plain,
% 48.73/31.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB63, constB64)) | (~v127(constB63, bitIndex2)) | v129(constB64, bitIndex2))),
% 48.73/31.79 inference(quant_inst,[status(thm)],[])).
% 48.73/31.79 tff(9420,plain,
% 48.73/31.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB63, constB64)) | (~v127(constB63, bitIndex2)) | v129(constB64, bitIndex2)),
% 48.73/31.79 inference(modus_ponens,[status(thm)],[9419, 9418])).
% 48.73/31.79 tff(9421,plain,
% 48.73/31.79 ((~v127(constB63, bitIndex2)) | v129(constB64, bitIndex2)),
% 48.73/31.79 inference(unit_resolution,[status(thm)],[9420, 366, 9308])).
% 48.73/31.79 tff(9422,plain,
% 48.73/31.79 (v129(constB64, bitIndex2)),
% 48.73/31.79 inference(unit_resolution,[status(thm)],[9421, 9417])).
% 48.73/31.79 tff(9423,plain,
% 48.73/31.79 (((~![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)))),
% 48.73/31.79 inference(rewrite,[status(thm)],[])).
% 48.73/31.79 tff(9424,plain,
% 48.73/31.79 ((v90(constB64, bitIndex2) | (~v100(constB64)) | (~v129(constB64, bitIndex2))) <=> (v90(constB64, bitIndex2) | (~v129(constB64, bitIndex2)) | (~v100(constB64)))),
% 48.73/31.79 inference(rewrite,[status(thm)],[])).
% 48.73/31.79 tff(9425,plain,
% 48.73/31.79 (((~![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))))),
% 48.73/31.79 inference(monotonicity,[status(thm)],[9424])).
% 48.73/31.79 tff(9426,plain,
% 48.73/31.79 (((~![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)))),
% 48.73/31.79 inference(transitivity,[status(thm)],[9425, 9423])).
% 48.73/31.79 tff(9427,plain,
% 48.73/31.79 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB64, bitIndex2) | (~v100(constB64)) | (~v129(constB64, bitIndex2)))),
% 48.73/31.79 inference(quant_inst,[status(thm)],[])).
% 48.73/31.79 tff(9428,plain,
% 48.73/31.79 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB64, bitIndex2) | (~v129(constB64, bitIndex2)) | (~v100(constB64))),
% 48.73/31.79 inference(modus_ponens,[status(thm)],[9427, 9426])).
% 48.73/31.79 tff(9429,plain,
% 48.73/31.79 (v90(constB64, bitIndex2) | (~v100(constB64))),
% 48.73/31.79 inference(unit_resolution,[status(thm)],[9428, 381, 9422])).
% 48.73/31.79 tff(9430,plain,
% 48.73/31.79 (v90(constB64, bitIndex2)),
% 48.73/31.79 inference(unit_resolution,[status(thm)],[9429, 9342])).
% 48.73/31.79 tff(9431,plain,
% 48.73/31.79 ((~v1(constB65)) <=> (~v1(constB65))),
% 48.73/31.79 inference(rewrite,[status(thm)],[])).
% 48.73/31.79 tff(9432,axiom,(~v1(constB65)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_65_1_1')).
% 48.73/31.79 tff(9433,plain,
% 48.73/31.79 (~v1(constB65)),
% 48.73/31.79 inference(modus_ponens,[status(thm)],[9432, 9431])).
% 48.73/31.79 tff(9434,plain,
% 48.73/31.79 (nextState(constB64, constB65) <=> nextState(constB64, constB65)),
% 48.73/31.79 inference(rewrite,[status(thm)],[])).
% 48.73/31.79 tff(9435,axiom,(nextState(constB64, constB65)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_64_1')).
% 48.73/31.79 tff(9436,plain,
% 48.73/31.79 (nextState(constB64, constB65)),
% 48.73/31.79 inference(modus_ponens,[status(thm)],[9435, 9434])).
% 48.73/31.79 tff(9437,plain,
% 48.73/31.79 (((~![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)))),
% 48.73/31.79 inference(rewrite,[status(thm)],[])).
% 48.73/31.79 tff(9438,plain,
% 48.73/31.79 (((~nextState(constB64, constB65)) | (~v101(constB65)) | v1(constB65)) <=> (v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65)))),
% 48.73/31.79 inference(rewrite,[status(thm)],[])).
% 48.73/31.79 tff(9439,plain,
% 48.73/31.79 (((~![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))))),
% 48.73/31.79 inference(monotonicity,[status(thm)],[9438])).
% 48.73/31.79 tff(9440,plain,
% 48.73/31.79 (((~![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)))),
% 48.73/31.79 inference(transitivity,[status(thm)],[9439, 9437])).
% 48.73/31.79 tff(9441,plain,
% 48.73/31.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB64, constB65)) | (~v101(constB65)) | v1(constB65))),
% 48.73/31.79 inference(quant_inst,[status(thm)],[])).
% 48.73/31.79 tff(9442,plain,
% 48.73/31.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65))),
% 48.73/31.79 inference(modus_ponens,[status(thm)],[9441, 9440])).
% 48.73/31.79 tff(9443,plain,
% 48.73/31.79 (~v101(constB65)),
% 48.73/31.79 inference(unit_resolution,[status(thm)],[9442, 49, 9436, 9433])).
% 48.73/31.79 tff(9444,plain,
% 48.73/31.79 (((~![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)))),
% 48.73/31.79 inference(rewrite,[status(thm)],[])).
% 48.73/31.79 tff(9445,plain,
% 48.73/31.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB64, constB65)) | v101(constB65) | (~v100(constB65)))),
% 48.73/31.79 inference(quant_inst,[status(thm)],[])).
% 48.73/31.79 tff(9446,plain,
% 48.73/31.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB64, constB65)) | v101(constB65) | (~v100(constB65))),
% 48.73/31.79 inference(modus_ponens,[status(thm)],[9445, 9444])).
% 48.73/31.79 tff(9447,plain,
% 48.73/31.79 (v101(constB65) | (~v100(constB65))),
% 48.73/31.79 inference(unit_resolution,[status(thm)],[9446, 66, 9436])).
% 48.73/31.79 tff(9448,plain,
% 48.73/31.79 (~v100(constB65)),
% 48.73/31.79 inference(unit_resolution,[status(thm)],[9447, 9443])).
% 48.73/31.79 tff(9449,plain,
% 48.73/31.79 (((~![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))),
% 48.73/31.79 inference(rewrite,[status(thm)],[])).
% 48.73/31.79 tff(9450,plain,
% 48.73/31.79 (((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex2)) | v100(constB65) | v90(constB65, bitIndex2)) <=> ((~v90(constB64, bitIndex2)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex2))),
% 48.73/31.79 inference(rewrite,[status(thm)],[])).
% 48.73/31.79 tff(9451,plain,
% 48.73/31.79 (((~![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)))),
% 48.73/31.79 inference(monotonicity,[status(thm)],[9450])).
% 48.73/31.79 tff(9452,plain,
% 48.73/31.79 (((~![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))),
% 48.73/31.79 inference(transitivity,[status(thm)],[9451, 9449])).
% 48.73/31.79 tff(9453,plain,
% 48.73/31.79 ((~![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))),
% 48.73/31.79 inference(quant_inst,[status(thm)],[])).
% 48.73/31.79 tff(9454,plain,
% 48.73/31.79 ((~![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)),
% 48.73/31.79 inference(modus_ponens,[status(thm)],[9453, 9452])).
% 48.73/31.79 tff(9455,plain,
% 48.73/31.79 ((~v90(constB64, bitIndex2)) | v100(constB65) | v90(constB65, bitIndex2)),
% 48.73/31.79 inference(unit_resolution,[status(thm)],[9454, 417, 9436])).
% 48.73/31.79 tff(9456,plain,
% 48.73/31.79 ((~v90(constB64, bitIndex2)) | v90(constB65, bitIndex2)),
% 48.73/31.79 inference(unit_resolution,[status(thm)],[9455, 9448])).
% 48.73/31.79 tff(9457,plain,
% 48.73/31.79 (v90(constB65, bitIndex2)),
% 48.73/31.79 inference(unit_resolution,[status(thm)],[9456, 9430])).
% 48.73/31.79 tff(9458,plain,
% 48.73/31.79 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB65, bitIndex2)) | (~v121(constB65)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB65, bitIndex2)) | (~v121(constB65)))),
% 48.73/31.79 inference(rewrite,[status(thm)],[])).
% 48.73/31.79 tff(9459,plain,
% 48.73/31.79 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB65, bitIndex2)) | (~v121(constB65)))),
% 48.73/31.79 inference(quant_inst,[status(thm)],[])).
% 48.73/31.79 tff(9460,plain,
% 48.73/31.79 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB65, bitIndex2)) | (~v121(constB65))),
% 48.73/31.79 inference(modus_ponens,[status(thm)],[9459, 9458])).
% 48.73/31.79 tff(9461,plain,
% 48.73/31.79 (~v121(constB65)),
% 48.73/31.79 inference(unit_resolution,[status(thm)],[9460, 883, 9457])).
% 48.73/31.79 tff(9462,plain,
% 48.73/31.79 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB63)) | v130(constB63, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB63)) | v130(constB63, bitIndex1))),
% 48.73/31.79 inference(rewrite,[status(thm)],[])).
% 48.73/31.79 tff(9463,plain,
% 48.73/31.79 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB63)) | v130(constB63, bitIndex1))),
% 48.73/31.79 inference(quant_inst,[status(thm)],[])).
% 48.73/31.79 tff(9464,plain,
% 48.73/31.79 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB63)) | v130(constB63, bitIndex1)),
% 48.73/31.79 inference(modus_ponens,[status(thm)],[9463, 9462])).
% 48.73/31.79 tff(9465,plain,
% 48.73/31.79 (v130(constB63, bitIndex1)),
% 48.73/31.79 inference(unit_resolution,[status(thm)],[9464, 667, 9408])).
% 48.73/31.79 tff(9466,plain,
% 48.73/31.79 (((~![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))) | v26(constB63) | (~v130(constB63, bitIndex1)) | v127(constB63, bitIndex1))),
% 48.73/31.79 inference(rewrite,[status(thm)],[])).
% 48.73/31.79 tff(9467,plain,
% 48.73/31.79 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB63) | (~v130(constB63, bitIndex1)) | v127(constB63, bitIndex1))),
% 48.73/31.79 inference(quant_inst,[status(thm)],[])).
% 48.73/31.79 tff(9468,plain,
% 48.73/31.79 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB63) | (~v130(constB63, bitIndex1)) | v127(constB63, bitIndex1)),
% 48.73/31.79 inference(modus_ponens,[status(thm)],[9467, 9466])).
% 48.73/31.79 tff(9469,plain,
% 48.73/31.79 ((~v130(constB63, bitIndex1)) | v127(constB63, bitIndex1)),
% 48.73/31.79 inference(unit_resolution,[status(thm)],[9468, 681, 9293])).
% 48.73/31.79 tff(9470,plain,
% 48.73/31.79 (v127(constB63, bitIndex1)),
% 48.73/31.79 inference(unit_resolution,[status(thm)],[9469, 9465])).
% 48.73/31.79 tff(9471,plain,
% 48.73/31.79 (((~![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))),
% 48.73/31.79 inference(rewrite,[status(thm)],[])).
% 48.73/31.79 tff(9472,plain,
% 48.73/31.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB63, constB64)) | (~v127(constB63, bitIndex1)) | v129(constB64, bitIndex1))),
% 48.73/31.79 inference(quant_inst,[status(thm)],[])).
% 48.73/31.79 tff(9473,plain,
% 48.73/31.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB63, constB64)) | (~v127(constB63, bitIndex1)) | v129(constB64, bitIndex1)),
% 48.73/31.79 inference(modus_ponens,[status(thm)],[9472, 9471])).
% 48.73/31.79 tff(9474,plain,
% 48.73/31.79 ((~v127(constB63, bitIndex1)) | v129(constB64, bitIndex1)),
% 48.73/31.79 inference(unit_resolution,[status(thm)],[9473, 696, 9308])).
% 48.73/31.79 tff(9475,plain,
% 48.73/31.79 (v129(constB64, bitIndex1)),
% 48.73/31.79 inference(unit_resolution,[status(thm)],[9474, 9470])).
% 48.73/31.79 tff(9476,plain,
% 48.73/31.79 (((~![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)))),
% 48.73/31.79 inference(rewrite,[status(thm)],[])).
% 48.73/31.79 tff(9477,plain,
% 48.73/31.79 ((v90(constB64, bitIndex1) | (~v100(constB64)) | (~v129(constB64, bitIndex1))) <=> (v90(constB64, bitIndex1) | (~v129(constB64, bitIndex1)) | (~v100(constB64)))),
% 48.73/31.79 inference(rewrite,[status(thm)],[])).
% 48.73/31.79 tff(9478,plain,
% 48.73/31.79 (((~![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))))),
% 48.73/31.79 inference(monotonicity,[status(thm)],[9477])).
% 48.73/31.79 tff(9479,plain,
% 48.73/31.79 (((~![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)))),
% 48.73/31.79 inference(transitivity,[status(thm)],[9478, 9476])).
% 48.73/31.79 tff(9480,plain,
% 48.73/31.79 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB64, bitIndex1) | (~v100(constB64)) | (~v129(constB64, bitIndex1)))),
% 48.73/31.79 inference(quant_inst,[status(thm)],[])).
% 48.73/31.79 tff(9481,plain,
% 48.73/31.79 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB64, bitIndex1) | (~v129(constB64, bitIndex1)) | (~v100(constB64))),
% 48.73/31.79 inference(modus_ponens,[status(thm)],[9480, 9479])).
% 48.73/31.79 tff(9482,plain,
% 48.73/31.79 (v90(constB64, bitIndex1) | (~v100(constB64))),
% 48.73/31.79 inference(unit_resolution,[status(thm)],[9481, 711, 9475])).
% 48.73/31.79 tff(9483,plain,
% 48.73/31.79 (v90(constB64, bitIndex1)),
% 48.73/31.79 inference(unit_resolution,[status(thm)],[9482, 9342])).
% 48.73/31.79 tff(9484,plain,
% 48.73/31.79 (((~![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))),
% 48.73/31.79 inference(rewrite,[status(thm)],[])).
% 48.73/31.79 tff(9485,plain,
% 48.73/31.79 (((~nextState(constB64, constB65)) | (~v90(constB64, bitIndex1)) | v100(constB65) | v90(constB65, bitIndex1)) <=> ((~v90(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, bitIndex1))),
% 48.73/31.79 inference(rewrite,[status(thm)],[])).
% 48.73/31.79 tff(9486,plain,
% 48.73/31.79 (((~![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)))),
% 48.73/31.79 inference(monotonicity,[status(thm)],[9485])).
% 48.73/31.79 tff(9487,plain,
% 48.73/31.79 (((~![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))),
% 48.73/31.79 inference(transitivity,[status(thm)],[9486, 9484])).
% 48.73/31.79 tff(9488,plain,
% 48.73/31.79 ((~![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))),
% 48.73/31.79 inference(quant_inst,[status(thm)],[])).
% 48.73/31.79 tff(9489,plain,
% 48.73/31.79 ((~![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)),
% 48.73/31.79 inference(modus_ponens,[status(thm)],[9488, 9487])).
% 48.73/31.79 tff(9490,plain,
% 48.73/31.79 ((~v90(constB64, bitIndex1)) | v100(constB65) | v90(constB65, bitIndex1)),
% 48.73/31.79 inference(unit_resolution,[status(thm)],[9489, 747, 9436])).
% 48.73/31.79 tff(9491,plain,
% 48.73/31.79 ((~v90(constB64, bitIndex1)) | v90(constB65, bitIndex1)),
% 48.73/31.79 inference(unit_resolution,[status(thm)],[9490, 9448])).
% 48.73/31.79 tff(9492,plain,
% 48.73/31.79 (v90(constB65, bitIndex1)),
% 48.73/31.79 inference(unit_resolution,[status(thm)],[9491, 9483])).
% 48.73/31.79 tff(9493,plain,
% 48.73/31.79 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB65, bitIndex1)) | (~v124(constB65)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB65, bitIndex1)) | (~v124(constB65)))),
% 48.73/31.79 inference(rewrite,[status(thm)],[])).
% 48.73/31.79 tff(9494,plain,
% 48.73/31.79 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB65, bitIndex1)) | (~v124(constB65)))),
% 48.73/31.79 inference(quant_inst,[status(thm)],[])).
% 48.73/31.79 tff(9495,plain,
% 48.73/31.79 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB65, bitIndex1)) | (~v124(constB65))),
% 48.73/31.79 inference(modus_ponens,[status(thm)],[9494, 9493])).
% 48.73/31.79 tff(9496,plain,
% 48.73/31.79 (~v124(constB65)),
% 48.73/31.79 inference(unit_resolution,[status(thm)],[9495, 763, 9492])).
% 48.73/31.79 tff(9497,plain,
% 48.73/31.79 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB65, bitIndex1)) | (~v120(constB65)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB65, bitIndex1)) | (~v120(constB65)))),
% 48.73/31.79 inference(rewrite,[status(thm)],[])).
% 48.73/31.79 tff(9498,plain,
% 48.73/31.79 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB65, bitIndex1)) | (~v120(constB65)))),
% 48.73/31.79 inference(quant_inst,[status(thm)],[])).
% 48.73/31.79 tff(9499,plain,
% 48.73/31.79 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB65, bitIndex1)) | (~v120(constB65))),
% 48.73/31.79 inference(modus_ponens,[status(thm)],[9498, 9497])).
% 48.73/31.79 tff(9500,plain,
% 48.73/31.79 (~v120(constB65)),
% 48.73/31.79 inference(unit_resolution,[status(thm)],[9499, 2312, 9492])).
% 48.73/31.79 tff(9501,plain,
% 48.73/31.79 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB65, bitIndex2)) | (~v122(constB65)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB65, bitIndex2)) | (~v122(constB65)))),
% 48.73/31.79 inference(rewrite,[status(thm)],[])).
% 48.73/31.79 tff(9502,plain,
% 48.73/31.79 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB65, bitIndex2)) | (~v122(constB65)))),
% 48.73/31.79 inference(quant_inst,[status(thm)],[])).
% 48.73/31.79 tff(9503,plain,
% 48.73/31.79 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB65, bitIndex2)) | (~v122(constB65))),
% 48.73/31.79 inference(modus_ponens,[status(thm)],[9502, 9501])).
% 48.73/31.79 tff(9504,plain,
% 48.73/31.79 (~v122(constB65)),
% 48.73/31.79 inference(unit_resolution,[status(thm)],[9503, 894, 9457])).
% 48.73/31.79 tff(9505,plain,
% 48.73/31.79 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB65, bitIndex1)) | (~v123(constB65)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB65, bitIndex1)) | (~v123(constB65)))),
% 48.73/31.79 inference(rewrite,[status(thm)],[])).
% 48.73/31.79 tff(9506,plain,
% 48.73/31.79 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB65, bitIndex1)) | (~v123(constB65)))),
% 48.73/31.79 inference(quant_inst,[status(thm)],[])).
% 48.73/31.79 tff(9507,plain,
% 48.73/31.79 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB65, bitIndex1)) | (~v123(constB65))),
% 48.73/31.79 inference(modus_ponens,[status(thm)],[9506, 9505])).
% 48.73/31.79 tff(9508,plain,
% 48.73/31.79 (~v123(constB65)),
% 48.73/31.79 inference(unit_resolution,[status(thm)],[9507, 774, 9492])).
% 48.73/31.79 tff(9509,plain,
% 48.73/31.79 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB65)) | (~v90(constB65, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB65)) | (~v90(constB65, bitIndex1)))),
% 48.73/31.80 inference(rewrite,[status(thm)],[])).
% 48.73/31.80 tff(9510,plain,
% 48.73/31.80 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB65)) | (~v90(constB65, bitIndex1)))),
% 48.73/31.80 inference(quant_inst,[status(thm)],[])).
% 48.73/31.80 tff(9511,plain,
% 48.73/31.80 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB65)) | (~v90(constB65, bitIndex1))),
% 48.73/31.80 inference(modus_ponens,[status(thm)],[9510, 9509])).
% 48.73/31.80 tff(9512,plain,
% 48.73/31.80 (~v119(constB65)),
% 48.73/31.80 inference(unit_resolution,[status(thm)],[9511, 2293, 9492])).
% 48.73/31.80 tff(9513,plain,
% 48.73/31.80 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v123(constB65) | v121(constB65) | v124(constB65) | v120(constB65) | v122(constB65) | v119(constB65) | (~v130(constB65, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v123(constB65) | v121(constB65) | v124(constB65) | v120(constB65) | v122(constB65) | v119(constB65) | (~v130(constB65, bitIndex2)))),
% 48.73/31.80 inference(rewrite,[status(thm)],[])).
% 48.73/31.80 tff(9514,plain,
% 48.73/31.80 ((v120(constB65) | v119(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | (~v130(constB65, bitIndex2))) <=> (v123(constB65) | v121(constB65) | v124(constB65) | v120(constB65) | v122(constB65) | v119(constB65) | (~v130(constB65, bitIndex2)))),
% 48.73/31.80 inference(rewrite,[status(thm)],[])).
% 48.73/31.80 tff(9515,plain,
% 48.73/31.80 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB65) | v119(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | (~v130(constB65, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v123(constB65) | v121(constB65) | v124(constB65) | v120(constB65) | v122(constB65) | v119(constB65) | (~v130(constB65, bitIndex2))))),
% 48.73/31.80 inference(monotonicity,[status(thm)],[9514])).
% 48.73/31.80 tff(9516,plain,
% 48.73/31.80 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB65) | v119(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | (~v130(constB65, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v123(constB65) | v121(constB65) | v124(constB65) | v120(constB65) | v122(constB65) | v119(constB65) | (~v130(constB65, bitIndex2)))),
% 48.73/31.80 inference(transitivity,[status(thm)],[9515, 9513])).
% 48.73/31.80 tff(9517,plain,
% 48.73/31.80 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB65) | v119(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | (~v130(constB65, bitIndex2)))),
% 48.75/31.80 inference(quant_inst,[status(thm)],[])).
% 48.75/31.80 tff(9518,plain,
% 48.75/31.80 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v123(constB65) | v121(constB65) | v124(constB65) | v120(constB65) | v122(constB65) | v119(constB65) | (~v130(constB65, bitIndex2))),
% 48.75/31.80 inference(modus_ponens,[status(thm)],[9517, 9516])).
% 48.75/31.80 tff(9519,plain,
% 48.75/31.80 (~v130(constB65, bitIndex2)),
% 48.75/31.80 inference(unit_resolution,[status(thm)],[9518, 1192, 9512, 9508, 9504, 9500, 9496, 9461])).
% 48.75/31.80 tff(9520,assumption,(v26(constB65)), introduced(assumption)).
% 48.75/31.80 tff(9521,plain,
% 48.75/31.80 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB65))),
% 48.75/31.80 inference(quant_inst,[status(thm)],[])).
% 48.75/31.80 tff(9522,plain,
% 48.75/31.80 ($false),
% 48.75/31.80 inference(unit_resolution,[status(thm)],[9521, 16, 9520])).
% 48.75/31.80 tff(9523,plain,(~v26(constB65)), inference(lemma,lemma(discharge,[]))).
% 48.75/31.80 tff(9524,plain,
% 48.75/31.80 (((~![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))),
% 48.75/31.80 inference(rewrite,[status(thm)],[])).
% 48.75/31.80 tff(9525,plain,
% 48.75/31.80 ((v26(constB65) | v130(constB65, bitIndex2) | (~v127(constB65, bitIndex2))) <=> ((~v127(constB65, bitIndex2)) | v26(constB65) | v130(constB65, bitIndex2))),
% 48.75/31.80 inference(rewrite,[status(thm)],[])).
% 48.75/31.80 tff(9526,plain,
% 48.75/31.80 (((~![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)))),
% 48.75/31.80 inference(monotonicity,[status(thm)],[9525])).
% 48.75/31.80 tff(9527,plain,
% 48.75/31.80 (((~![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))),
% 48.75/31.80 inference(transitivity,[status(thm)],[9526, 9524])).
% 48.75/31.80 tff(9528,plain,
% 48.75/31.80 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB65) | v130(constB65, bitIndex2) | (~v127(constB65, bitIndex2)))),
% 48.75/31.80 inference(quant_inst,[status(thm)],[])).
% 48.75/31.80 tff(9529,plain,
% 48.75/31.80 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB65, bitIndex2)) | v26(constB65) | v130(constB65, bitIndex2)),
% 48.75/31.80 inference(modus_ponens,[status(thm)],[9528, 9527])).
% 48.75/31.80 tff(9530,plain,
% 48.75/31.80 ((~v127(constB65, bitIndex2)) | v130(constB65, bitIndex2)),
% 48.75/31.80 inference(unit_resolution,[status(thm)],[9529, 1210, 9523])).
% 48.75/31.80 tff(9531,plain,
% 48.75/31.80 (~v127(constB65, bitIndex2)),
% 48.75/31.80 inference(unit_resolution,[status(thm)],[9530, 9519])).
% 48.75/31.80 tff(9532,plain,
% 48.75/31.80 (nextState(constB65, constB66) <=> nextState(constB65, constB66)),
% 48.75/31.80 inference(rewrite,[status(thm)],[])).
% 48.75/31.80 tff(9533,axiom,(nextState(constB65, constB66)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_65_1')).
% 48.75/31.80 tff(9534,plain,
% 48.75/31.80 (nextState(constB65, constB66)),
% 48.75/31.80 inference(modus_ponens,[status(thm)],[9533, 9532])).
% 48.75/31.80 tff(9535,plain,
% 48.75/31.80 (((~![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)))),
% 48.75/31.80 inference(rewrite,[status(thm)],[])).
% 48.75/31.80 tff(9536,plain,
% 48.75/31.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB65, constB66)) | v127(constB65, bitIndex2) | (~v129(constB66, bitIndex2)))),
% 48.75/31.80 inference(quant_inst,[status(thm)],[])).
% 48.75/31.80 tff(9537,plain,
% 48.75/31.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB65, constB66)) | v127(constB65, bitIndex2) | (~v129(constB66, bitIndex2))),
% 48.75/31.80 inference(modus_ponens,[status(thm)],[9536, 9535])).
% 48.75/31.80 tff(9538,plain,
% 48.75/31.80 (v127(constB65, bitIndex2) | (~v129(constB66, bitIndex2))),
% 48.75/31.80 inference(unit_resolution,[status(thm)],[9537, 1243, 9534])).
% 48.75/31.80 tff(9539,plain,
% 48.75/31.80 (~v129(constB66, bitIndex2)),
% 48.75/31.80 inference(unit_resolution,[status(thm)],[9538, 9531])).
% 48.75/31.80 tff(9540,assumption,(~v122(constB65)), introduced(assumption)).
% 48.75/31.80 tff(9541,assumption,(~v100(constB66)), introduced(assumption)).
% 48.75/31.80 tff(9542,plain,
% 48.75/31.80 (((~![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)))),
% 48.75/31.80 inference(rewrite,[status(thm)],[])).
% 48.75/31.80 tff(9543,plain,
% 48.75/31.80 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB65) | (~nextState(constB65, constB66)) | (~v104(constB66)))),
% 48.75/31.80 inference(quant_inst,[status(thm)],[])).
% 48.75/31.80 tff(9544,plain,
% 48.75/31.80 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB65) | (~nextState(constB65, constB66)) | (~v104(constB66))),
% 48.75/31.80 inference(modus_ponens,[status(thm)],[9543, 9542])).
% 48.75/31.80 tff(9545,plain,
% 48.75/31.80 (~v104(constB66)),
% 48.75/31.80 inference(unit_resolution,[status(thm)],[9544, 271, 9534, 9433])).
% 48.75/31.80 tff(9546,plain,
% 48.75/31.80 (((~![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))),
% 48.75/31.80 inference(rewrite,[status(thm)],[])).
% 48.75/31.80 tff(9547,plain,
% 48.75/31.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB65, constB66)) | v102(constB66) | v104(constB66))),
% 48.75/31.80 inference(quant_inst,[status(thm)],[])).
% 48.75/31.80 tff(9548,plain,
% 48.75/31.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB65, constB66)) | v102(constB66) | v104(constB66)),
% 48.75/31.80 inference(modus_ponens,[status(thm)],[9547, 9546])).
% 48.75/31.80 tff(9549,plain,
% 48.75/31.80 (v102(constB66) | v104(constB66)),
% 48.75/31.80 inference(unit_resolution,[status(thm)],[9548, 285, 9534])).
% 48.75/31.80 tff(9550,plain,
% 48.75/31.80 (v102(constB66)),
% 48.75/31.80 inference(unit_resolution,[status(thm)],[9549, 9545])).
% 48.75/31.80 tff(9551,plain,
% 48.75/31.80 (v1(constB66) <=> v1(constB66)),
% 48.75/31.80 inference(rewrite,[status(thm)],[])).
% 48.75/31.80 tff(9552,axiom,(v1(constB66)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_66_1')).
% 48.75/31.80 tff(9553,plain,
% 48.75/31.80 (v1(constB66)),
% 48.75/31.80 inference(modus_ponens,[status(thm)],[9552, 9551])).
% 48.75/31.80 tff(9554,plain,
% 48.75/31.80 (((~![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)))),
% 48.75/31.80 inference(rewrite,[status(thm)],[])).
% 48.75/31.80 tff(9555,plain,
% 48.75/31.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB65, constB66)) | v101(constB66) | (~v102(constB66)) | (~v1(constB66)))),
% 48.75/31.80 inference(quant_inst,[status(thm)],[])).
% 48.75/31.80 tff(9556,plain,
% 48.75/31.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB65, constB66)) | v101(constB66) | (~v102(constB66)) | (~v1(constB66))),
% 48.75/31.80 inference(modus_ponens,[status(thm)],[9555, 9554])).
% 48.75/31.80 tff(9557,plain,
% 48.75/31.80 (v101(constB66) | (~v102(constB66))),
% 48.75/31.80 inference(unit_resolution,[status(thm)],[9556, 303, 9534, 9553])).
% 48.75/31.80 tff(9558,plain,
% 48.75/31.80 (v101(constB66)),
% 48.75/31.80 inference(unit_resolution,[status(thm)],[9557, 9550])).
% 48.75/31.80 tff(9559,plain,
% 48.75/31.80 (((~![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)))),
% 48.75/31.80 inference(rewrite,[status(thm)],[])).
% 48.75/31.80 tff(9560,plain,
% 48.75/31.80 (((~nextState(constB65, constB66)) | (~v101(constB66)) | (~v110(constB66)) | v100(constB66)) <=> ((~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66)))),
% 48.75/31.80 inference(rewrite,[status(thm)],[])).
% 48.75/31.80 tff(9561,plain,
% 48.75/31.80 (((~![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))))),
% 48.75/31.80 inference(monotonicity,[status(thm)],[9560])).
% 48.75/31.80 tff(9562,plain,
% 48.75/31.80 (((~![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)))),
% 48.75/31.80 inference(transitivity,[status(thm)],[9561, 9559])).
% 48.75/31.80 tff(9563,plain,
% 48.75/31.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB65, constB66)) | (~v101(constB66)) | (~v110(constB66)) | v100(constB66))),
% 48.75/31.80 inference(quant_inst,[status(thm)],[])).
% 48.75/31.80 tff(9564,plain,
% 48.75/31.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66))),
% 48.75/31.80 inference(modus_ponens,[status(thm)],[9563, 9562])).
% 48.75/31.80 tff(9565,plain,
% 48.75/31.80 (v100(constB66) | (~v101(constB66)) | (~v110(constB66))),
% 48.75/31.80 inference(unit_resolution,[status(thm)],[9564, 318, 9534])).
% 48.75/31.80 tff(9566,plain,
% 48.75/31.80 (v100(constB66) | (~v110(constB66))),
% 48.75/31.80 inference(unit_resolution,[status(thm)],[9565, 9558])).
% 48.75/31.80 tff(9567,plain,
% 48.75/31.80 (~v110(constB66)),
% 48.75/31.80 inference(unit_resolution,[status(thm)],[9566, 9541])).
% 48.75/31.80 tff(9568,plain,
% 48.75/31.80 (((~![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)))),
% 48.75/31.80 inference(rewrite,[status(thm)],[])).
% 48.75/31.80 tff(9569,plain,
% 48.75/31.80 (((~nextState(constB65, constB66)) | (~v108(constB65)) | v110(constB66)) <=> ((~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65)))),
% 48.75/31.80 inference(rewrite,[status(thm)],[])).
% 48.75/31.80 tff(9570,plain,
% 48.75/31.80 (((~![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))))),
% 48.75/31.80 inference(monotonicity,[status(thm)],[9569])).
% 48.75/31.80 tff(9571,plain,
% 48.75/31.80 (((~![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)))),
% 48.75/31.80 inference(transitivity,[status(thm)],[9570, 9568])).
% 48.75/31.80 tff(9572,plain,
% 48.75/31.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB65, constB66)) | (~v108(constB65)) | v110(constB66))),
% 48.75/31.80 inference(quant_inst,[status(thm)],[])).
% 48.75/31.80 tff(9573,plain,
% 48.75/31.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65))),
% 48.75/31.80 inference(modus_ponens,[status(thm)],[9572, 9571])).
% 48.75/31.80 tff(9574,plain,
% 48.75/31.80 (v110(constB66) | (~v108(constB65))),
% 48.75/31.80 inference(unit_resolution,[status(thm)],[9573, 253, 9534])).
% 48.75/31.80 tff(9575,plain,
% 48.75/31.80 (~v108(constB65)),
% 48.75/31.80 inference(unit_resolution,[status(thm)],[9574, 9567])).
% 48.75/31.80 tff(9576,plain,
% 48.75/31.80 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB65) | (~v112(constB65)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB65) | (~v112(constB65)))),
% 48.75/31.80 inference(rewrite,[status(thm)],[])).
% 48.75/31.80 tff(9577,plain,
% 48.75/31.80 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB65) | (~v112(constB65)))),
% 48.75/31.80 inference(quant_inst,[status(thm)],[])).
% 48.75/31.80 tff(9578,plain,
% 48.75/31.80 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB65) | (~v112(constB65))),
% 48.75/31.80 inference(modus_ponens,[status(thm)],[9577, 9576])).
% 48.75/31.80 tff(9579,plain,
% 48.75/31.80 (~v112(constB65)),
% 48.75/31.80 inference(unit_resolution,[status(thm)],[9578, 236, 9575])).
% 48.75/31.80 tff(9580,plain,
% 48.75/31.80 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB65) | (~v26(constB65)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB65) | (~v26(constB65)))),
% 48.75/31.80 inference(rewrite,[status(thm)],[])).
% 48.75/31.80 tff(9581,plain,
% 48.75/31.80 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB65) | (~v26(constB65)))),
% 48.75/31.80 inference(quant_inst,[status(thm)],[])).
% 48.75/31.80 tff(9582,plain,
% 48.75/31.80 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB65) | (~v26(constB65))),
% 48.75/31.80 inference(modus_ponens,[status(thm)],[9581, 9580])).
% 48.75/31.80 tff(9583,plain,
% 48.75/31.80 (~v26(constB65)),
% 48.75/31.80 inference(unit_resolution,[status(thm)],[9582, 961, 9575])).
% 48.75/31.80 tff(9584,plain,
% 48.75/31.80 (((~![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)))),
% 48.75/31.80 inference(rewrite,[status(thm)],[])).
% 48.75/31.80 tff(9585,plain,
% 48.75/31.80 ((v26(constB65) | (~v113(constB65)) | v112(constB65)) <=> (v26(constB65) | v112(constB65) | (~v113(constB65)))),
% 48.75/31.80 inference(rewrite,[status(thm)],[])).
% 48.75/31.80 tff(9586,plain,
% 48.75/31.80 (((~![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))))),
% 48.75/31.80 inference(monotonicity,[status(thm)],[9585])).
% 48.75/31.80 tff(9587,plain,
% 48.75/31.80 (((~![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)))),
% 48.75/31.80 inference(transitivity,[status(thm)],[9586, 9584])).
% 48.75/31.80 tff(9588,plain,
% 48.75/31.80 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB65) | (~v113(constB65)) | v112(constB65))),
% 48.75/31.80 inference(quant_inst,[status(thm)],[])).
% 48.75/31.80 tff(9589,plain,
% 48.75/31.80 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB65) | v112(constB65) | (~v113(constB65))),
% 48.75/31.80 inference(modus_ponens,[status(thm)],[9588, 9587])).
% 48.75/31.80 tff(9590,plain,
% 48.75/31.80 (~v113(constB65)),
% 48.75/31.80 inference(unit_resolution,[status(thm)],[9589, 224, 9583, 9579])).
% 48.75/31.80 tff(9591,plain,
% 48.75/31.80 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB65) | (~v114(constB65)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB65) | (~v114(constB65)))),
% 48.75/31.80 inference(rewrite,[status(thm)],[])).
% 48.75/31.80 tff(9592,plain,
% 48.75/31.80 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB65) | (~v114(constB65)))),
% 48.75/31.80 inference(quant_inst,[status(thm)],[])).
% 48.75/31.80 tff(9593,plain,
% 48.75/31.80 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB65) | (~v114(constB65))),
% 48.75/31.80 inference(modus_ponens,[status(thm)],[9592, 9591])).
% 48.75/31.80 tff(9594,plain,
% 48.75/31.80 (~v114(constB65)),
% 48.75/31.80 inference(unit_resolution,[status(thm)],[9593, 210, 9590])).
% 48.75/31.80 tff(9595,plain,
% 48.75/31.80 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB65) | (~v115(constB65)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB65) | (~v115(constB65)))),
% 48.75/31.80 inference(rewrite,[status(thm)],[])).
% 48.75/31.80 tff(9596,plain,
% 48.75/31.80 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB65) | (~v115(constB65)))),
% 48.75/31.80 inference(quant_inst,[status(thm)],[])).
% 48.75/31.80 tff(9597,plain,
% 48.75/31.80 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB65) | (~v115(constB65))),
% 48.75/31.80 inference(modus_ponens,[status(thm)],[9596, 9595])).
% 48.75/31.80 tff(9598,plain,
% 48.75/31.80 (~v115(constB65)),
% 48.75/31.80 inference(unit_resolution,[status(thm)],[9597, 199, 9594])).
% 48.75/31.80 tff(9599,plain,
% 48.75/31.80 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB65) | (~v116(constB65)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB65) | (~v116(constB65)))),
% 48.75/31.80 inference(rewrite,[status(thm)],[])).
% 48.75/31.80 tff(9600,plain,
% 48.75/31.80 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB65) | (~v116(constB65)))),
% 48.75/31.80 inference(quant_inst,[status(thm)],[])).
% 48.75/31.80 tff(9601,plain,
% 48.75/31.80 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB65) | (~v116(constB65))),
% 48.75/31.80 inference(modus_ponens,[status(thm)],[9600, 9599])).
% 48.75/31.80 tff(9602,plain,
% 48.75/31.80 (~v116(constB65)),
% 48.75/31.80 inference(unit_resolution,[status(thm)],[9601, 188, 9598])).
% 48.75/31.80 tff(9603,plain,
% 48.75/31.80 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB65) | (~v117(constB65)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB65) | (~v117(constB65)))),
% 48.75/31.80 inference(rewrite,[status(thm)],[])).
% 48.75/31.80 tff(9604,plain,
% 48.75/31.80 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB65) | (~v117(constB65)))),
% 48.75/31.80 inference(quant_inst,[status(thm)],[])).
% 48.75/31.80 tff(9605,plain,
% 48.75/31.80 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB65) | (~v117(constB65))),
% 48.75/31.80 inference(modus_ponens,[status(thm)],[9604, 9603])).
% 48.75/31.80 tff(9606,plain,
% 48.75/31.80 (~v117(constB65)),
% 48.75/31.80 inference(unit_resolution,[status(thm)],[9605, 177, 9602])).
% 48.75/31.80 tff(9607,plain,
% 48.75/31.80 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB65) | (~v121(constB65)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB65) | (~v121(constB65)))),
% 48.75/31.80 inference(rewrite,[status(thm)],[])).
% 48.75/31.80 tff(9608,plain,
% 48.75/31.80 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB65) | (~v121(constB65)))),
% 48.75/31.80 inference(quant_inst,[status(thm)],[])).
% 48.75/31.80 tff(9609,plain,
% 48.75/31.80 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB65) | (~v121(constB65))),
% 48.75/31.80 inference(modus_ponens,[status(thm)],[9608, 9607])).
% 48.75/31.80 tff(9610,plain,
% 48.75/31.80 (~v121(constB65)),
% 48.75/31.80 inference(unit_resolution,[status(thm)],[9609, 1562, 9606])).
% 48.75/31.80 tff(9611,plain,
% 48.75/31.80 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB65) | (~v123(constB65)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB65) | (~v123(constB65)))),
% 48.75/31.80 inference(rewrite,[status(thm)],[])).
% 48.75/31.80 tff(9612,plain,
% 48.75/31.80 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB65) | (~v123(constB65)))),
% 48.75/31.80 inference(quant_inst,[status(thm)],[])).
% 48.75/31.80 tff(9613,plain,
% 48.75/31.80 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB65) | (~v123(constB65))),
% 48.75/31.80 inference(modus_ponens,[status(thm)],[9612, 9611])).
% 48.75/31.80 tff(9614,plain,
% 48.75/31.80 (~v123(constB65)),
% 48.75/31.80 inference(unit_resolution,[status(thm)],[9613, 595, 9598])).
% 48.75/31.80 tff(9615,assumption,(~v90(constB66, bitIndex0)), introduced(assumption)).
% 48.75/31.80 tff(9616,plain,
% 48.75/31.80 (((~![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))),
% 48.75/31.80 inference(rewrite,[status(thm)],[])).
% 48.75/31.80 tff(9617,plain,
% 48.75/31.80 (((~nextState(constB65, constB66)) | (~v90(constB65, bitIndex0)) | v100(constB66) | v90(constB66, bitIndex0)) <=> ((~v90(constB65, bitIndex0)) | (~nextState(constB65, constB66)) | v100(constB66) | v90(constB66, bitIndex0))),
% 48.75/31.80 inference(rewrite,[status(thm)],[])).
% 48.75/31.80 tff(9618,plain,
% 48.75/31.80 (((~![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)))),
% 48.75/31.80 inference(monotonicity,[status(thm)],[9617])).
% 48.75/31.80 tff(9619,plain,
% 48.75/31.80 (((~![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))),
% 48.75/31.80 inference(transitivity,[status(thm)],[9618, 9616])).
% 48.75/31.80 tff(9620,plain,
% 48.75/31.80 ((~![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))),
% 48.75/31.80 inference(quant_inst,[status(thm)],[])).
% 48.75/31.80 tff(9621,plain,
% 48.75/31.80 ((~![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)),
% 48.75/31.80 inference(modus_ponens,[status(thm)],[9620, 9619])).
% 48.75/31.80 tff(9622,plain,
% 48.75/31.80 ((~v90(constB65, bitIndex0)) | v100(constB66) | v90(constB66, bitIndex0)),
% 48.75/31.80 inference(unit_resolution,[status(thm)],[9621, 1124, 9534])).
% 48.75/31.80 tff(9623,plain,
% 48.75/31.80 (~v90(constB65, bitIndex0)),
% 48.75/31.80 inference(unit_resolution,[status(thm)],[9622, 9541, 9615])).
% 48.75/31.80 tff(9624,plain,
% 48.75/31.80 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB65) | (~v118(constB65)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB65) | (~v118(constB65)))),
% 48.75/31.80 inference(rewrite,[status(thm)],[])).
% 48.75/31.80 tff(9625,plain,
% 48.75/31.80 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB65) | (~v118(constB65)))),
% 48.75/31.80 inference(quant_inst,[status(thm)],[])).
% 48.75/31.80 tff(9626,plain,
% 48.75/31.80 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB65) | (~v118(constB65))),
% 48.75/31.80 inference(modus_ponens,[status(thm)],[9625, 9624])).
% 48.75/31.80 tff(9627,plain,
% 48.75/31.80 (~v118(constB65)),
% 48.75/31.80 inference(unit_resolution,[status(thm)],[9626, 166, 9606])).
% 48.75/31.80 tff(9628,plain,
% 48.75/31.80 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB65) | (~v119(constB65)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB65) | (~v119(constB65)))),
% 48.75/31.80 inference(rewrite,[status(thm)],[])).
% 48.75/31.80 tff(9629,plain,
% 48.75/31.80 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB65) | (~v119(constB65)))),
% 48.75/31.80 inference(quant_inst,[status(thm)],[])).
% 48.75/31.80 tff(9630,plain,
% 48.75/31.80 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB65) | (~v119(constB65))),
% 48.75/31.80 inference(modus_ponens,[status(thm)],[9629, 9628])).
% 48.75/31.80 tff(9631,plain,
% 48.75/31.80 (~v119(constB65)),
% 48.75/31.80 inference(unit_resolution,[status(thm)],[9630, 155, 9627])).
% 48.75/31.80 tff(9632,assumption,(~v119(constB65)), introduced(assumption)).
% 48.75/31.80 tff(9633,assumption,(~v90(constB65, bitIndex1)), introduced(assumption)).
% 48.75/31.80 tff(9634,assumption,(~v123(constB65)), introduced(assumption)).
% 48.75/31.80 tff(9635,assumption,(~v90(constB65, bitIndex0)), introduced(assumption)).
% 48.75/31.80 tff(9636,plain,
% 48.75/31.80 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB65, bitIndex0) | v90(constB65, bitIndex1) | (~v90(constB65, bitIndex2)) | v123(constB65))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB65, bitIndex0) | v90(constB65, bitIndex1) | (~v90(constB65, bitIndex2)) | v123(constB65))),
% 48.75/31.80 inference(rewrite,[status(thm)],[])).
% 48.75/31.80 tff(9637,plain,
% 48.75/31.80 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB65, bitIndex0) | v90(constB65, bitIndex1) | (~v90(constB65, bitIndex2)) | v123(constB65))),
% 48.75/31.80 inference(quant_inst,[status(thm)],[])).
% 48.75/31.80 tff(9638,plain,
% 48.75/31.80 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB65, bitIndex0) | v90(constB65, bitIndex1) | (~v90(constB65, bitIndex2)) | v123(constB65)),
% 48.75/31.80 inference(modus_ponens,[status(thm)],[9637, 9636])).
% 48.75/31.80 tff(9639,plain,
% 48.75/31.80 (v90(constB65, bitIndex1) | (~v90(constB65, bitIndex2)) | v123(constB65)),
% 48.75/31.80 inference(unit_resolution,[status(thm)],[9638, 584, 9635])).
% 48.75/31.80 tff(9640,plain,
% 48.75/31.80 (~v90(constB65, bitIndex2)),
% 48.75/31.80 inference(unit_resolution,[status(thm)],[9639, 9633, 9634])).
% 48.75/31.80 tff(9641,plain,
% 48.75/31.80 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB65) | v90(constB65, bitIndex0) | v90(constB65, bitIndex1) | v90(constB65, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB65) | v90(constB65, bitIndex0) | v90(constB65, bitIndex1) | v90(constB65, bitIndex2))),
% 48.75/31.80 inference(rewrite,[status(thm)],[])).
% 48.75/31.80 tff(9642,plain,
% 48.75/31.80 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB65) | v90(constB65, bitIndex0) | v90(constB65, bitIndex1) | v90(constB65, bitIndex2))),
% 48.75/31.80 inference(quant_inst,[status(thm)],[])).
% 48.75/31.80 tff(9643,plain,
% 48.75/31.80 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB65) | v90(constB65, bitIndex0) | v90(constB65, bitIndex1) | v90(constB65, bitIndex2)),
% 48.75/31.80 inference(modus_ponens,[status(thm)],[9642, 9641])).
% 48.75/31.80 tff(9644,plain,
% 48.75/31.80 (v119(constB65) | v90(constB65, bitIndex1) | v90(constB65, bitIndex2)),
% 48.75/31.80 inference(unit_resolution,[status(thm)],[9643, 144, 9635])).
% 48.75/31.80 tff(9645,plain,
% 48.75/31.80 ($false),
% 48.75/31.80 inference(unit_resolution,[status(thm)],[9644, 9640, 9633, 9632])).
% 48.75/31.80 tff(9646,plain,(v90(constB65, bitIndex1) | v119(constB65) | v90(constB65, bitIndex0) | v123(constB65)), inference(lemma,lemma(discharge,[]))).
% 48.75/31.80 tff(9647,plain,
% 48.75/31.80 (v90(constB65, bitIndex1)),
% 48.75/31.80 inference(unit_resolution,[status(thm)],[9646, 9631, 9623, 9614])).
% 48.75/31.80 tff(9648,plain,
% 48.75/31.80 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB65) | (~v125(constB65)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB65) | (~v125(constB65)))),
% 48.75/31.80 inference(rewrite,[status(thm)],[])).
% 48.75/31.80 tff(9649,plain,
% 48.75/31.80 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB65) | (~v125(constB65)))),
% 48.75/31.80 inference(quant_inst,[status(thm)],[])).
% 48.75/31.80 tff(9650,plain,
% 48.75/31.80 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB65) | (~v125(constB65))),
% 48.75/31.80 inference(modus_ponens,[status(thm)],[9649, 9648])).
% 48.75/31.80 tff(9651,plain,
% 48.75/31.80 (~v125(constB65)),
% 48.75/31.80 inference(unit_resolution,[status(thm)],[9650, 1031, 9590])).
% 48.75/31.80 tff(9652,plain,
% 48.75/31.80 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)) | (~v90(constB65, bitIndex2)) | v125(constB65))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)) | (~v90(constB65, bitIndex2)) | v125(constB65))),
% 48.75/31.80 inference(rewrite,[status(thm)],[])).
% 48.75/31.80 tff(9653,plain,
% 48.75/31.80 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)) | (~v90(constB65, bitIndex2)) | v125(constB65))),
% 48.75/31.80 inference(quant_inst,[status(thm)],[])).
% 48.75/31.80 tff(9654,plain,
% 48.75/31.80 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)) | (~v90(constB65, bitIndex2)) | v125(constB65)),
% 48.75/31.80 inference(modus_ponens,[status(thm)],[9653, 9652])).
% 48.75/31.80 tff(9655,plain,
% 48.75/31.80 ((~v90(constB65, bitIndex1)) | (~v90(constB65, bitIndex2)) | v125(constB65)),
% 48.75/31.80 inference(unit_resolution,[status(thm)],[9654, 1019, 9623])).
% 48.75/31.80 tff(9656,plain,
% 48.75/31.80 (~v90(constB65, bitIndex2)),
% 48.75/31.80 inference(unit_resolution,[status(thm)],[9655, 9647, 9651])).
% 48.75/31.80 tff(9657,plain,
% 48.75/31.80 (((~![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))),
% 48.75/31.80 inference(rewrite,[status(thm)],[])).
% 48.75/31.80 tff(9658,plain,
% 48.75/31.80 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex2) | v121(constB65))),
% 48.75/31.80 inference(quant_inst,[status(thm)],[])).
% 48.75/31.80 tff(9659,plain,
% 48.75/31.80 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB65, bitIndex0) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex2) | v121(constB65)),
% 48.75/31.80 inference(modus_ponens,[status(thm)],[9658, 9657])).
% 48.75/31.80 tff(9660,plain,
% 48.75/31.80 ((~v90(constB65, bitIndex1)) | v90(constB65, bitIndex2) | v121(constB65)),
% 48.75/31.80 inference(unit_resolution,[status(thm)],[9659, 1551, 9623])).
% 48.75/31.80 tff(9661,plain,
% 48.75/31.80 ($false),
% 48.75/31.80 inference(unit_resolution,[status(thm)],[9660, 9656, 9647, 9610])).
% 48.75/31.80 tff(9662,plain,(v100(constB66) | v90(constB66, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 48.75/31.80 tff(9663,plain,
% 48.75/31.80 (v90(constB66, bitIndex0)),
% 48.75/31.80 inference(unit_resolution,[status(thm)],[9662, 9541])).
% 48.75/31.80 tff(9664,plain,
% 48.75/31.80 (((~![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)))),
% 48.75/31.80 inference(rewrite,[status(thm)],[])).
% 48.75/31.81 tff(9665,plain,
% 48.75/31.81 (((~nextState(constB65, constB66)) | v90(constB65, bitIndex0) | v100(constB66) | (~v90(constB66, bitIndex0))) <=> (v90(constB65, bitIndex0) | (~nextState(constB65, constB66)) | v100(constB66) | (~v90(constB66, bitIndex0)))),
% 48.75/31.81 inference(rewrite,[status(thm)],[])).
% 48.75/31.81 tff(9666,plain,
% 48.75/31.81 (((~![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))))),
% 48.75/31.81 inference(monotonicity,[status(thm)],[9665])).
% 48.75/31.81 tff(9667,plain,
% 48.75/31.81 (((~![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)))),
% 48.75/31.81 inference(transitivity,[status(thm)],[9666, 9664])).
% 48.75/31.81 tff(9668,plain,
% 48.75/31.81 ((~![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)))),
% 48.75/31.81 inference(quant_inst,[status(thm)],[])).
% 48.75/31.81 tff(9669,plain,
% 48.75/31.81 ((~![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))),
% 48.75/31.81 inference(modus_ponens,[status(thm)],[9668, 9667])).
% 48.75/31.81 tff(9670,plain,
% 48.75/31.81 (v90(constB65, bitIndex0) | v100(constB66) | (~v90(constB66, bitIndex0))),
% 48.75/31.81 inference(unit_resolution,[status(thm)],[9669, 123, 9534])).
% 48.75/31.81 tff(9671,plain,
% 48.75/31.81 (v90(constB65, bitIndex0)),
% 48.75/31.81 inference(unit_resolution,[status(thm)],[9670, 9541, 9663])).
% 48.75/31.81 tff(9672,plain,
% 48.75/31.81 (v112(constB65) | (~v113(constB65))),
% 48.75/31.81 inference(unit_resolution,[status(thm)],[9589, 224, 9523])).
% 48.75/31.81 tff(9673,plain,
% 48.75/31.81 (~v113(constB65)),
% 48.75/31.81 inference(unit_resolution,[status(thm)],[9672, 9579])).
% 48.75/31.81 tff(9674,plain,
% 48.75/31.81 (~v114(constB65)),
% 48.75/31.81 inference(unit_resolution,[status(thm)],[9593, 210, 9673])).
% 48.75/31.81 tff(9675,plain,
% 48.75/31.81 (~v115(constB65)),
% 48.75/31.81 inference(unit_resolution,[status(thm)],[9597, 199, 9674])).
% 48.75/31.81 tff(9676,plain,
% 48.75/31.81 (~v116(constB65)),
% 48.75/31.81 inference(unit_resolution,[status(thm)],[9601, 188, 9675])).
% 48.75/31.81 tff(9677,plain,
% 48.75/31.81 (~v117(constB65)),
% 48.75/31.81 inference(unit_resolution,[status(thm)],[9605, 177, 9676])).
% 48.75/31.81 tff(9678,plain,
% 48.75/31.81 (~v118(constB65)),
% 48.75/31.81 inference(unit_resolution,[status(thm)],[9626, 166, 9677])).
% 48.75/31.81 tff(9679,plain,
% 48.75/31.81 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB65) | (~v120(constB65)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB65) | (~v120(constB65)))),
% 48.75/31.81 inference(rewrite,[status(thm)],[])).
% 48.75/31.81 tff(9680,plain,
% 48.75/31.81 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB65) | (~v120(constB65)))),
% 48.75/31.81 inference(quant_inst,[status(thm)],[])).
% 48.75/31.81 tff(9681,plain,
% 48.75/31.81 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB65) | (~v120(constB65))),
% 48.75/31.81 inference(modus_ponens,[status(thm)],[9680, 9679])).
% 48.75/31.81 tff(9682,plain,
% 48.75/31.81 (~v120(constB65)),
% 48.75/31.81 inference(unit_resolution,[status(thm)],[9681, 1302, 9678])).
% 48.75/31.81 tff(9683,assumption,(~v120(constB65)), introduced(assumption)).
% 48.75/31.81 tff(9684,assumption,(~v90(constB65, bitIndex2)), introduced(assumption)).
% 48.75/31.81 tff(9685,assumption,(v90(constB65, bitIndex0)), introduced(assumption)).
% 48.75/31.81 tff(9686,plain,
% 48.75/31.81 (((~![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))),
% 48.75/31.81 inference(rewrite,[status(thm)],[])).
% 48.75/31.81 tff(9687,plain,
% 48.75/31.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB65, bitIndex0)) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex2) | v122(constB65))),
% 48.75/31.81 inference(quant_inst,[status(thm)],[])).
% 48.75/31.81 tff(9688,plain,
% 48.75/31.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB65, bitIndex0)) | (~v90(constB65, bitIndex1)) | v90(constB65, bitIndex2) | v122(constB65)),
% 48.75/31.81 inference(modus_ponens,[status(thm)],[9687, 9686])).
% 48.75/31.81 tff(9689,plain,
% 48.75/31.81 ((~v90(constB65, bitIndex1)) | v90(constB65, bitIndex2)),
% 48.75/31.81 inference(unit_resolution,[status(thm)],[9688, 1789, 9685, 9540])).
% 48.75/31.81 tff(9690,plain,
% 48.75/31.81 (~v90(constB65, bitIndex1)),
% 48.75/31.81 inference(unit_resolution,[status(thm)],[9689, 9684])).
% 48.75/31.81 tff(9691,plain,
% 48.75/31.81 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB65, bitIndex0)) | v90(constB65, bitIndex1) | v90(constB65, bitIndex2) | v120(constB65))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB65, bitIndex0)) | v90(constB65, bitIndex1) | v90(constB65, bitIndex2) | v120(constB65))),
% 48.75/31.81 inference(rewrite,[status(thm)],[])).
% 48.75/31.81 tff(9692,plain,
% 48.75/31.81 (((~v90(constB65, bitIndex0)) | v120(constB65) | v90(constB65, bitIndex1) | v90(constB65, bitIndex2)) <=> ((~v90(constB65, bitIndex0)) | v90(constB65, bitIndex1) | v90(constB65, bitIndex2) | v120(constB65))),
% 48.75/31.81 inference(rewrite,[status(thm)],[])).
% 48.75/31.81 tff(9693,plain,
% 48.75/31.81 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB65, bitIndex0)) | v120(constB65) | v90(constB65, bitIndex1) | v90(constB65, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB65, bitIndex0)) | v90(constB65, bitIndex1) | v90(constB65, bitIndex2) | v120(constB65)))),
% 48.75/31.81 inference(monotonicity,[status(thm)],[9692])).
% 48.75/31.81 tff(9694,plain,
% 48.75/31.81 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB65, bitIndex0)) | v120(constB65) | v90(constB65, bitIndex1) | v90(constB65, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB65, bitIndex0)) | v90(constB65, bitIndex1) | v90(constB65, bitIndex2) | v120(constB65))),
% 48.75/31.81 inference(transitivity,[status(thm)],[9693, 9691])).
% 48.75/31.81 tff(9695,plain,
% 48.75/31.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB65, bitIndex0)) | v120(constB65) | v90(constB65, bitIndex1) | v90(constB65, bitIndex2))),
% 48.75/31.81 inference(quant_inst,[status(thm)],[])).
% 48.75/31.81 tff(9696,plain,
% 48.75/31.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB65, bitIndex0)) | v90(constB65, bitIndex1) | v90(constB65, bitIndex2) | v120(constB65)),
% 48.75/31.81 inference(modus_ponens,[status(thm)],[9695, 9694])).
% 48.75/31.81 tff(9697,plain,
% 48.75/31.81 (v90(constB65, bitIndex1) | v90(constB65, bitIndex2) | v120(constB65)),
% 48.75/31.81 inference(unit_resolution,[status(thm)],[9696, 1285, 9685])).
% 48.75/31.81 tff(9698,plain,
% 48.75/31.81 ($false),
% 48.75/31.81 inference(unit_resolution,[status(thm)],[9697, 9690, 9684, 9683])).
% 48.75/31.81 tff(9699,plain,(v90(constB65, bitIndex2) | v120(constB65) | (~v90(constB65, bitIndex0)) | v122(constB65)), inference(lemma,lemma(discharge,[]))).
% 48.75/31.81 tff(9700,plain,
% 48.75/31.81 (v90(constB65, bitIndex2)),
% 48.75/31.81 inference(unit_resolution,[status(thm)],[9699, 9682, 9671, 9540])).
% 48.75/31.81 tff(9701,plain,
% 48.75/31.81 (((~![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)))),
% 48.75/31.81 inference(rewrite,[status(thm)],[])).
% 48.75/31.81 tff(9702,plain,
% 48.75/31.81 (((~nextState(constB64, constB65)) | v90(constB64, bitIndex2) | v100(constB65) | (~v90(constB65, bitIndex2))) <=> (v90(constB64, bitIndex2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex2)))),
% 48.75/31.81 inference(rewrite,[status(thm)],[])).
% 48.75/31.81 tff(9703,plain,
% 48.75/31.81 (((~![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))))),
% 48.75/31.81 inference(monotonicity,[status(thm)],[9702])).
% 48.75/31.81 tff(9704,plain,
% 48.75/31.81 (((~![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)))),
% 48.75/31.81 inference(transitivity,[status(thm)],[9703, 9701])).
% 48.75/31.81 tff(9705,plain,
% 48.75/31.81 ((~![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)))),
% 48.75/31.81 inference(quant_inst,[status(thm)],[])).
% 48.75/31.81 tff(9706,plain,
% 48.75/31.81 ((~![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))),
% 48.75/31.81 inference(modus_ponens,[status(thm)],[9705, 9704])).
% 48.75/31.81 tff(9707,plain,
% 48.75/31.81 (v90(constB64, bitIndex2) | v100(constB65) | (~v90(constB65, bitIndex2))),
% 48.75/31.81 inference(unit_resolution,[status(thm)],[9706, 81, 9436])).
% 48.75/31.81 tff(9708,plain,
% 48.75/31.81 (v90(constB64, bitIndex2) | (~v90(constB65, bitIndex2))),
% 48.75/31.81 inference(unit_resolution,[status(thm)],[9707, 9448])).
% 48.75/31.81 tff(9709,plain,
% 48.75/31.81 (v90(constB64, bitIndex2)),
% 48.75/31.81 inference(unit_resolution,[status(thm)],[9708, 9700])).
% 48.75/31.81 tff(9710,plain,
% 48.75/31.81 (v114(constB63)),
% 48.75/31.81 inference(unit_resolution,[status(thm)],[9284, 9247])).
% 48.75/31.81 tff(9711,plain,
% 48.75/31.81 (v113(constB63)),
% 48.75/31.81 inference(unit_resolution,[status(thm)],[9288, 210, 9710])).
% 48.75/31.81 tff(9712,plain,
% 48.75/31.81 (v112(constB63)),
% 48.75/31.81 inference(unit_resolution,[status(thm)],[9300, 9711])).
% 48.75/31.81 tff(9713,plain,
% 48.75/31.81 (v108(constB63)),
% 48.75/31.81 inference(unit_resolution,[status(thm)],[9304, 236, 9712])).
% 48.75/31.81 tff(9714,plain,
% 48.75/31.81 (v110(constB64)),
% 48.75/31.81 inference(unit_resolution,[status(thm)],[9315, 9713])).
% 48.75/31.81 tff(9715,plain,
% 48.75/31.81 (v100(constB64)),
% 48.75/31.81 inference(unit_resolution,[status(thm)],[9341, 9714])).
% 48.75/31.81 tff(9716,plain,
% 48.75/31.81 (((~![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)))),
% 48.75/31.81 inference(rewrite,[status(thm)],[])).
% 48.75/31.81 tff(9717,plain,
% 48.75/31.81 (((~nextState(constB64, constB65)) | v90(constB64, bitIndex0) | v100(constB65) | (~v90(constB65, bitIndex0))) <=> (v90(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex0)))),
% 48.75/31.81 inference(rewrite,[status(thm)],[])).
% 48.75/31.81 tff(9718,plain,
% 48.75/31.81 (((~![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))))),
% 48.75/31.81 inference(monotonicity,[status(thm)],[9717])).
% 48.75/31.81 tff(9719,plain,
% 48.75/31.81 (((~![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)))),
% 48.75/31.81 inference(transitivity,[status(thm)],[9718, 9716])).
% 48.75/31.81 tff(9720,plain,
% 48.75/31.81 ((~![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)))),
% 48.75/31.81 inference(quant_inst,[status(thm)],[])).
% 48.75/31.81 tff(9721,plain,
% 48.75/31.81 ((~![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))),
% 48.75/31.81 inference(modus_ponens,[status(thm)],[9720, 9719])).
% 48.75/31.81 tff(9722,plain,
% 48.75/31.81 (v90(constB64, bitIndex0) | v100(constB65) | (~v90(constB65, bitIndex0))),
% 48.75/31.81 inference(unit_resolution,[status(thm)],[9721, 123, 9436])).
% 48.75/31.81 tff(9723,plain,
% 48.75/31.81 (v90(constB64, bitIndex0) | (~v90(constB65, bitIndex0))),
% 48.75/31.81 inference(unit_resolution,[status(thm)],[9722, 9448])).
% 48.75/31.81 tff(9724,plain,
% 48.75/31.81 (v90(constB64, bitIndex0)),
% 48.75/31.81 inference(unit_resolution,[status(thm)],[9723, 9685])).
% 48.75/31.81 tff(9725,plain,
% 48.75/31.81 (((~![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)))),
% 48.75/31.81 inference(rewrite,[status(thm)],[])).
% 48.75/31.81 tff(9726,plain,
% 48.75/31.81 (((~v90(constB64, bitIndex0)) | (~v100(constB64)) | v129(constB64, bitIndex0)) <=> ((~v90(constB64, bitIndex0)) | v129(constB64, bitIndex0) | (~v100(constB64)))),
% 48.75/31.81 inference(rewrite,[status(thm)],[])).
% 48.75/31.81 tff(9727,plain,
% 48.75/31.81 (((~![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))))),
% 48.75/31.81 inference(monotonicity,[status(thm)],[9726])).
% 48.75/31.81 tff(9728,plain,
% 48.75/31.81 (((~![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)))),
% 48.77/31.81 inference(transitivity,[status(thm)],[9727, 9725])).
% 48.77/31.81 tff(9729,plain,
% 48.77/31.81 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB64, bitIndex0)) | (~v100(constB64)) | v129(constB64, bitIndex0))),
% 48.77/31.81 inference(quant_inst,[status(thm)],[])).
% 48.77/31.81 tff(9730,plain,
% 48.77/31.81 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB64, bitIndex0)) | v129(constB64, bitIndex0) | (~v100(constB64))),
% 48.77/31.81 inference(modus_ponens,[status(thm)],[9729, 9728])).
% 48.77/31.81 tff(9731,plain,
% 48.77/31.81 (v129(constB64, bitIndex0) | (~v100(constB64))),
% 48.77/31.81 inference(unit_resolution,[status(thm)],[9730, 557, 9724])).
% 48.77/31.81 tff(9732,plain,
% 48.77/31.81 (v129(constB64, bitIndex0)),
% 48.77/31.81 inference(unit_resolution,[status(thm)],[9731, 9715])).
% 48.77/31.81 tff(9733,plain,
% 48.77/31.81 (((~![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)))),
% 48.77/31.81 inference(rewrite,[status(thm)],[])).
% 48.77/31.81 tff(9734,plain,
% 48.77/31.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB63, constB64)) | v127(constB63, bitIndex0) | (~v129(constB64, bitIndex0)))),
% 48.77/31.81 inference(quant_inst,[status(thm)],[])).
% 48.77/31.81 tff(9735,plain,
% 48.77/31.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB63, constB64)) | v127(constB63, bitIndex0) | (~v129(constB64, bitIndex0))),
% 48.77/31.81 inference(modus_ponens,[status(thm)],[9734, 9733])).
% 48.77/31.81 tff(9736,plain,
% 48.77/31.81 (v127(constB63, bitIndex0) | (~v129(constB64, bitIndex0))),
% 48.77/31.81 inference(unit_resolution,[status(thm)],[9735, 542, 9308])).
% 48.77/31.81 tff(9737,plain,
% 48.77/31.81 (v127(constB63, bitIndex0)),
% 48.77/31.81 inference(unit_resolution,[status(thm)],[9736, 9732])).
% 48.77/31.81 tff(9738,plain,
% 48.77/31.81 (((~![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))),
% 48.77/31.81 inference(rewrite,[status(thm)],[])).
% 48.77/31.81 tff(9739,plain,
% 48.77/31.81 ((v26(constB63) | v130(constB63, bitIndex0) | (~v127(constB63, bitIndex0))) <=> ((~v127(constB63, bitIndex0)) | v26(constB63) | v130(constB63, bitIndex0))),
% 48.77/31.81 inference(rewrite,[status(thm)],[])).
% 48.77/31.81 tff(9740,plain,
% 48.77/31.81 (((~![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)))),
% 48.77/31.81 inference(monotonicity,[status(thm)],[9739])).
% 48.77/31.81 tff(9741,plain,
% 48.77/31.81 (((~![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))),
% 48.77/31.81 inference(transitivity,[status(thm)],[9740, 9738])).
% 48.77/31.81 tff(9742,plain,
% 48.77/31.81 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB63) | v130(constB63, bitIndex0) | (~v127(constB63, bitIndex0)))),
% 48.77/31.81 inference(quant_inst,[status(thm)],[])).
% 48.77/31.81 tff(9743,plain,
% 48.77/31.81 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB63, bitIndex0)) | v26(constB63) | v130(constB63, bitIndex0)),
% 48.77/31.81 inference(modus_ponens,[status(thm)],[9742, 9741])).
% 48.77/31.81 tff(9744,plain,
% 48.77/31.81 ((~v127(constB63, bitIndex0)) | v130(constB63, bitIndex0)),
% 48.77/31.81 inference(unit_resolution,[status(thm)],[9743, 524, 9293])).
% 48.77/31.81 tff(9745,plain,
% 48.77/31.81 (v130(constB63, bitIndex0)),
% 48.77/31.81 inference(unit_resolution,[status(thm)],[9744, 9737])).
% 48.77/31.81 tff(9746,plain,
% 48.77/31.81 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB63)) | (~v130(constB63, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB63)) | (~v130(constB63, bitIndex0)))),
% 48.77/31.81 inference(rewrite,[status(thm)],[])).
% 48.77/31.81 tff(9747,plain,
% 48.77/31.81 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB63)) | (~v130(constB63, bitIndex0)))),
% 48.77/31.81 inference(quant_inst,[status(thm)],[])).
% 48.77/31.81 tff(9748,plain,
% 48.77/31.81 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB63)) | (~v130(constB63, bitIndex0))),
% 48.77/31.81 inference(modus_ponens,[status(thm)],[9747, 9746])).
% 48.77/31.81 tff(9749,plain,
% 48.77/31.81 (~v119(constB63)),
% 48.77/31.81 inference(unit_resolution,[status(thm)],[9748, 510, 9745])).
% 48.77/31.81 tff(9750,plain,
% 48.77/31.81 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB63)) | (~v130(constB63, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB63)) | (~v130(constB63, bitIndex0)))),
% 48.77/31.81 inference(rewrite,[status(thm)],[])).
% 48.77/31.81 tff(9751,plain,
% 48.77/31.81 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB63)) | (~v130(constB63, bitIndex0)))),
% 48.77/31.81 inference(quant_inst,[status(thm)],[])).
% 48.77/31.81 tff(9752,plain,
% 48.77/31.81 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB63)) | (~v130(constB63, bitIndex0))),
% 48.77/31.81 inference(modus_ponens,[status(thm)],[9751, 9750])).
% 48.77/31.81 tff(9753,plain,
% 48.77/31.81 (~v120(constB63)),
% 48.77/31.81 inference(unit_resolution,[status(thm)],[9752, 1492, 9745])).
% 48.77/31.81 tff(9754,plain,
% 48.77/31.81 (v90(constB63, bitIndex2)),
% 48.77/31.81 inference(unit_resolution,[status(thm)],[9268, 9753, 9247, 9749])).
% 48.77/31.81 tff(9755,plain,
% 48.77/31.81 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB63)) | (~v130(constB63, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB63)) | (~v130(constB63, bitIndex0)))),
% 48.77/31.81 inference(rewrite,[status(thm)],[])).
% 48.77/31.81 tff(9756,plain,
% 48.77/31.81 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB63)) | (~v130(constB63, bitIndex0)))),
% 48.77/31.81 inference(quant_inst,[status(thm)],[])).
% 48.77/31.81 tff(9757,plain,
% 48.77/31.81 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB63)) | (~v130(constB63, bitIndex0))),
% 48.77/31.81 inference(modus_ponens,[status(thm)],[9756, 9755])).
% 48.77/31.81 tff(9758,plain,
% 48.77/31.81 (~v123(constB63)),
% 48.77/31.81 inference(unit_resolution,[status(thm)],[9757, 975, 9745])).
% 48.77/31.81 tff(9759,plain,
% 48.77/31.81 (v90(constB63, bitIndex0)),
% 48.77/31.81 inference(unit_resolution,[status(thm)],[9282, 9754, 9758])).
% 48.77/31.81 tff(9760,plain,
% 48.77/31.81 (v124(constB63)),
% 48.77/31.81 inference(unit_resolution,[status(thm)],[9277, 9759, 9754])).
% 48.77/31.81 tff(9761,plain,
% 48.77/31.81 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB63)) | v130(constB63, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB63)) | v130(constB63, bitIndex1))),
% 48.77/31.81 inference(rewrite,[status(thm)],[])).
% 48.77/31.81 tff(9762,plain,
% 48.77/31.81 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB63)) | v130(constB63, bitIndex1))),
% 48.77/31.81 inference(quant_inst,[status(thm)],[])).
% 48.77/31.81 tff(9763,plain,
% 48.77/31.81 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB63)) | v130(constB63, bitIndex1)),
% 48.77/31.81 inference(modus_ponens,[status(thm)],[9762, 9761])).
% 48.77/31.81 tff(9764,plain,
% 48.77/31.81 (v130(constB63, bitIndex1)),
% 48.77/31.81 inference(unit_resolution,[status(thm)],[9763, 3155, 9760])).
% 48.77/31.81 tff(9765,plain,
% 48.77/31.81 (v127(constB63, bitIndex1)),
% 48.77/31.81 inference(unit_resolution,[status(thm)],[9469, 9764])).
% 48.77/31.81 tff(9766,plain,
% 48.77/31.81 (v129(constB64, bitIndex1)),
% 48.77/31.81 inference(unit_resolution,[status(thm)],[9474, 9765])).
% 48.77/31.81 tff(9767,plain,
% 48.77/31.81 (v90(constB64, bitIndex1) | (~v129(constB64, bitIndex1))),
% 48.77/31.81 inference(unit_resolution,[status(thm)],[9481, 711, 9715])).
% 48.77/31.81 tff(9768,plain,
% 48.77/31.81 (v90(constB64, bitIndex1)),
% 48.77/31.81 inference(unit_resolution,[status(thm)],[9767, 9766])).
% 48.77/31.81 tff(9769,plain,
% 48.77/31.81 (v90(constB65, bitIndex1)),
% 48.77/31.81 inference(unit_resolution,[status(thm)],[9491, 9768])).
% 48.77/31.81 tff(9770,plain,
% 48.77/31.81 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB63)) | (~v130(constB63, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB63)) | (~v130(constB63, bitIndex2)))),
% 48.77/31.81 inference(rewrite,[status(thm)],[])).
% 48.77/31.81 tff(9771,plain,
% 48.77/31.81 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB63)) | (~v130(constB63, bitIndex2)))),
% 48.77/31.81 inference(quant_inst,[status(thm)],[])).
% 48.77/31.81 tff(9772,plain,
% 48.77/31.81 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB63)) | (~v130(constB63, bitIndex2))),
% 48.77/31.81 inference(modus_ponens,[status(thm)],[9771, 9770])).
% 48.77/31.81 tff(9773,plain,
% 48.77/31.81 (~v130(constB63, bitIndex2)),
% 48.77/31.81 inference(unit_resolution,[status(thm)],[9772, 2853, 9760])).
% 48.77/31.81 tff(9774,plain,
% 48.77/31.81 (((~![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))),
% 48.77/31.81 inference(rewrite,[status(thm)],[])).
% 48.77/31.81 tff(9775,plain,
% 48.77/31.81 ((v26(constB63) | v130(constB63, bitIndex2) | (~v127(constB63, bitIndex2))) <=> ((~v127(constB63, bitIndex2)) | v26(constB63) | v130(constB63, bitIndex2))),
% 48.77/31.81 inference(rewrite,[status(thm)],[])).
% 48.77/31.81 tff(9776,plain,
% 48.77/31.81 (((~![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)))),
% 48.77/31.81 inference(monotonicity,[status(thm)],[9775])).
% 48.77/31.81 tff(9777,plain,
% 48.77/31.81 (((~![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))),
% 48.77/31.81 inference(transitivity,[status(thm)],[9776, 9774])).
% 48.77/31.81 tff(9778,plain,
% 48.77/31.81 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB63) | v130(constB63, bitIndex2) | (~v127(constB63, bitIndex2)))),
% 48.77/31.81 inference(quant_inst,[status(thm)],[])).
% 48.77/31.81 tff(9779,plain,
% 48.77/31.81 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB63, bitIndex2)) | v26(constB63) | v130(constB63, bitIndex2)),
% 48.77/31.81 inference(modus_ponens,[status(thm)],[9778, 9777])).
% 48.77/31.81 tff(9780,plain,
% 48.77/31.81 ((~v127(constB63, bitIndex2)) | v130(constB63, bitIndex2)),
% 48.77/31.81 inference(unit_resolution,[status(thm)],[9779, 1210, 9293])).
% 48.77/31.81 tff(9781,plain,
% 48.77/31.81 (~v127(constB63, bitIndex2)),
% 48.77/31.81 inference(unit_resolution,[status(thm)],[9780, 9773])).
% 48.77/31.81 tff(9782,plain,
% 48.77/31.81 (((~![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)))),
% 48.77/31.81 inference(rewrite,[status(thm)],[])).
% 48.77/31.81 tff(9783,plain,
% 48.77/31.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB63, constB64)) | v127(constB63, bitIndex2) | (~v129(constB64, bitIndex2)))),
% 48.77/31.82 inference(quant_inst,[status(thm)],[])).
% 48.77/31.82 tff(9784,plain,
% 48.77/31.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB63, constB64)) | v127(constB63, bitIndex2) | (~v129(constB64, bitIndex2))),
% 48.77/31.82 inference(modus_ponens,[status(thm)],[9783, 9782])).
% 48.77/31.82 tff(9785,plain,
% 48.77/31.82 (v127(constB63, bitIndex2) | (~v129(constB64, bitIndex2))),
% 48.77/31.82 inference(unit_resolution,[status(thm)],[9784, 1243, 9308])).
% 48.77/31.82 tff(9786,plain,
% 48.77/31.82 (~v129(constB64, bitIndex2)),
% 48.77/31.82 inference(unit_resolution,[status(thm)],[9785, 9781])).
% 48.77/31.82 tff(9787,plain,
% 48.77/31.82 (((~![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)))),
% 48.77/31.82 inference(rewrite,[status(thm)],[])).
% 48.77/31.82 tff(9788,plain,
% 48.77/31.82 (((~v90(constB64, bitIndex2)) | (~v100(constB64)) | v129(constB64, bitIndex2)) <=> ((~v90(constB64, bitIndex2)) | v129(constB64, bitIndex2) | (~v100(constB64)))),
% 48.77/31.82 inference(rewrite,[status(thm)],[])).
% 48.77/31.82 tff(9789,plain,
% 48.77/31.82 (((~![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))))),
% 48.77/31.82 inference(monotonicity,[status(thm)],[9788])).
% 48.77/31.82 tff(9790,plain,
% 48.77/31.82 (((~![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)))),
% 48.77/31.82 inference(transitivity,[status(thm)],[9789, 9787])).
% 48.77/31.82 tff(9791,plain,
% 48.77/31.82 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB64, bitIndex2)) | (~v100(constB64)) | v129(constB64, bitIndex2))),
% 48.77/31.82 inference(quant_inst,[status(thm)],[])).
% 48.77/31.82 tff(9792,plain,
% 48.77/31.82 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB64, bitIndex2)) | v129(constB64, bitIndex2) | (~v100(constB64))),
% 48.77/31.82 inference(modus_ponens,[status(thm)],[9791, 9790])).
% 48.77/31.82 tff(9793,plain,
% 48.77/31.82 ((~v90(constB64, bitIndex2)) | v129(constB64, bitIndex2)),
% 48.77/31.82 inference(unit_resolution,[status(thm)],[9792, 1258, 9715])).
% 48.77/31.82 tff(9794,plain,
% 48.77/31.82 (~v90(constB64, bitIndex2)),
% 48.77/31.82 inference(unit_resolution,[status(thm)],[9793, 9786])).
% 48.77/31.82 tff(9795,plain,
% 48.77/31.82 (~v90(constB65, bitIndex2)),
% 48.77/31.82 inference(unit_resolution,[status(thm)],[9708, 9794])).
% 48.77/31.82 tff(9796,plain,
% 48.77/31.82 ((~v90(constB65, bitIndex1)) | v90(constB65, bitIndex2) | v122(constB65)),
% 48.77/31.82 inference(unit_resolution,[status(thm)],[9688, 1789, 9685])).
% 48.77/31.82 tff(9797,plain,
% 48.77/31.82 ($false),
% 48.77/31.82 inference(unit_resolution,[status(thm)],[9796, 9795, 9769, 9540])).
% 48.77/31.82 tff(9798,plain,(v90(constB63, bitIndex1) | v122(constB65) | (~v90(constB65, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 48.77/31.82 tff(9799,plain,
% 48.77/31.82 (v90(constB63, bitIndex1)),
% 48.77/31.82 inference(unit_resolution,[status(thm)],[9798, 9671, 9540])).
% 48.77/31.82 tff(9800,plain,
% 48.77/31.82 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB63, bitIndex1)) | (~v123(constB63)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB63, bitIndex1)) | (~v123(constB63)))),
% 48.77/31.82 inference(rewrite,[status(thm)],[])).
% 48.77/31.82 tff(9801,plain,
% 48.77/31.82 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB63, bitIndex1)) | (~v123(constB63)))),
% 48.77/31.82 inference(quant_inst,[status(thm)],[])).
% 48.77/31.82 tff(9802,plain,
% 48.77/31.82 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB63, bitIndex1)) | (~v123(constB63))),
% 48.77/31.82 inference(modus_ponens,[status(thm)],[9801, 9800])).
% 48.77/31.82 tff(9803,plain,
% 48.77/31.82 (~v123(constB63)),
% 48.77/31.82 inference(unit_resolution,[status(thm)],[9802, 774, 9799])).
% 48.77/31.82 tff(9804,plain,
% 48.77/31.82 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB63)) | (~v90(constB63, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB63)) | (~v90(constB63, bitIndex1)))),
% 48.77/31.82 inference(rewrite,[status(thm)],[])).
% 48.77/31.82 tff(9805,plain,
% 48.77/31.82 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB63)) | (~v90(constB63, bitIndex1)))),
% 48.77/31.82 inference(quant_inst,[status(thm)],[])).
% 48.77/31.82 tff(9806,plain,
% 48.77/31.82 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB63)) | (~v90(constB63, bitIndex1))),
% 48.77/31.82 inference(modus_ponens,[status(thm)],[9805, 9804])).
% 48.77/31.82 tff(9807,plain,
% 48.77/31.82 (~v119(constB63)),
% 48.77/31.82 inference(unit_resolution,[status(thm)],[9806, 2293, 9799])).
% 48.77/31.82 tff(9808,plain,
% 48.77/31.82 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB63, bitIndex1)) | (~v124(constB63)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB63, bitIndex1)) | (~v124(constB63)))),
% 48.77/31.82 inference(rewrite,[status(thm)],[])).
% 48.77/31.82 tff(9809,plain,
% 48.77/31.82 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB63, bitIndex1)) | (~v124(constB63)))),
% 48.77/31.82 inference(quant_inst,[status(thm)],[])).
% 48.77/31.82 tff(9810,plain,
% 48.77/31.82 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB63, bitIndex1)) | (~v124(constB63))),
% 48.77/31.82 inference(modus_ponens,[status(thm)],[9809, 9808])).
% 48.77/31.82 tff(9811,plain,
% 48.77/31.82 (~v124(constB63)),
% 48.77/31.82 inference(unit_resolution,[status(thm)],[9810, 763, 9799])).
% 48.77/31.82 tff(9812,plain,
% 48.77/31.82 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB63, bitIndex1)) | (~v120(constB63)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB63, bitIndex1)) | (~v120(constB63)))),
% 48.77/31.82 inference(rewrite,[status(thm)],[])).
% 48.77/31.82 tff(9813,plain,
% 48.77/31.82 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB63, bitIndex1)) | (~v120(constB63)))),
% 48.77/31.82 inference(quant_inst,[status(thm)],[])).
% 48.77/31.82 tff(9814,plain,
% 48.77/31.82 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB63, bitIndex1)) | (~v120(constB63))),
% 48.77/31.82 inference(modus_ponens,[status(thm)],[9813, 9812])).
% 48.77/31.82 tff(9815,plain,
% 48.77/31.82 (~v120(constB63)),
% 48.77/31.82 inference(unit_resolution,[status(thm)],[9814, 2312, 9799])).
% 48.77/31.82 tff(9816,plain,
% 48.77/31.82 (v90(constB64, bitIndex0)),
% 48.77/31.82 inference(unit_resolution,[status(thm)],[9723, 9671])).
% 48.77/31.82 tff(9817,plain,
% 48.77/31.82 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB65) | (~v124(constB65)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB65) | (~v124(constB65)))),
% 48.77/31.82 inference(rewrite,[status(thm)],[])).
% 48.77/31.82 tff(9818,plain,
% 48.77/31.82 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB65) | (~v124(constB65)))),
% 48.77/31.82 inference(quant_inst,[status(thm)],[])).
% 48.77/31.82 tff(9819,plain,
% 48.77/31.82 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB65) | (~v124(constB65))),
% 48.77/31.82 inference(modus_ponens,[status(thm)],[9818, 9817])).
% 48.77/31.82 tff(9820,plain,
% 48.77/31.82 (~v124(constB65)),
% 48.77/31.82 inference(unit_resolution,[status(thm)],[9819, 2631, 9674])).
% 48.77/31.82 tff(9821,plain,
% 48.77/31.82 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB65, bitIndex0)) | v90(constB65, bitIndex1) | (~v90(constB65, bitIndex2)) | v124(constB65))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB65, bitIndex0)) | v90(constB65, bitIndex1) | (~v90(constB65, bitIndex2)) | v124(constB65))),
% 48.77/31.82 inference(rewrite,[status(thm)],[])).
% 48.77/31.82 tff(9822,plain,
% 48.77/31.82 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB65, bitIndex0)) | v90(constB65, bitIndex1) | (~v90(constB65, bitIndex2)) | v124(constB65))),
% 48.77/31.82 inference(quant_inst,[status(thm)],[])).
% 48.77/31.82 tff(9823,plain,
% 48.77/31.82 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB65, bitIndex0)) | v90(constB65, bitIndex1) | (~v90(constB65, bitIndex2)) | v124(constB65)),
% 48.77/31.82 inference(modus_ponens,[status(thm)],[9822, 9821])).
% 48.77/31.82 tff(9824,plain,
% 48.77/31.82 (v90(constB65, bitIndex1) | (~v90(constB65, bitIndex2)) | v124(constB65)),
% 48.77/31.82 inference(unit_resolution,[status(thm)],[9823, 2663, 9671])).
% 48.77/31.82 tff(9825,plain,
% 48.77/31.82 (v90(constB65, bitIndex1)),
% 48.77/31.82 inference(unit_resolution,[status(thm)],[9824, 9700, 9820])).
% 48.77/31.82 tff(9826,plain,
% 48.77/31.82 (((~![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)))),
% 48.77/31.82 inference(rewrite,[status(thm)],[])).
% 48.77/31.82 tff(9827,plain,
% 48.77/31.82 (((~nextState(constB64, constB65)) | v90(constB64, bitIndex1) | v100(constB65) | (~v90(constB65, bitIndex1))) <=> (v90(constB64, bitIndex1) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, bitIndex1)))),
% 48.77/31.82 inference(rewrite,[status(thm)],[])).
% 48.77/31.82 tff(9828,plain,
% 48.77/31.82 (((~![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))))),
% 48.77/31.82 inference(monotonicity,[status(thm)],[9827])).
% 48.77/31.82 tff(9829,plain,
% 48.77/31.82 (((~![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)))),
% 48.77/31.82 inference(transitivity,[status(thm)],[9828, 9826])).
% 48.77/31.82 tff(9830,plain,
% 48.77/31.82 ((~![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)))),
% 48.77/31.82 inference(quant_inst,[status(thm)],[])).
% 48.77/31.82 tff(9831,plain,
% 48.77/31.82 ((~![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))),
% 48.77/31.82 inference(modus_ponens,[status(thm)],[9830, 9829])).
% 48.77/31.82 tff(9832,plain,
% 48.77/31.82 (v90(constB64, bitIndex1) | v100(constB65) | (~v90(constB65, bitIndex1))),
% 48.77/31.82 inference(unit_resolution,[status(thm)],[9831, 102, 9436])).
% 48.77/31.82 tff(9833,plain,
% 48.77/31.82 (v90(constB64, bitIndex1) | (~v90(constB65, bitIndex1))),
% 48.77/31.82 inference(unit_resolution,[status(thm)],[9832, 9448])).
% 48.77/31.82 tff(9834,plain,
% 48.77/31.82 (v90(constB64, bitIndex1)),
% 48.77/31.82 inference(unit_resolution,[status(thm)],[9833, 9825])).
% 48.77/31.82 tff(9835,assumption,(v100(constB64)), introduced(assumption)).
% 48.77/31.82 tff(9836,assumption,(v90(constB64, bitIndex1)), introduced(assumption)).
% 48.77/31.82 tff(9837,plain,
% 48.77/31.82 (((~![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)))),
% 48.77/31.82 inference(rewrite,[status(thm)],[])).
% 48.77/31.82 tff(9838,plain,
% 48.77/31.82 (((~v90(constB64, bitIndex1)) | (~v100(constB64)) | v129(constB64, bitIndex1)) <=> ((~v90(constB64, bitIndex1)) | v129(constB64, bitIndex1) | (~v100(constB64)))),
% 48.77/31.82 inference(rewrite,[status(thm)],[])).
% 48.77/31.82 tff(9839,plain,
% 48.77/31.82 (((~![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))))),
% 48.77/31.82 inference(monotonicity,[status(thm)],[9838])).
% 48.77/31.82 tff(9840,plain,
% 48.77/31.82 (((~![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)))),
% 48.77/31.82 inference(transitivity,[status(thm)],[9839, 9837])).
% 48.77/31.82 tff(9841,plain,
% 48.77/31.82 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB64, bitIndex1)) | (~v100(constB64)) | v129(constB64, bitIndex1))),
% 48.77/31.82 inference(quant_inst,[status(thm)],[])).
% 48.77/31.82 tff(9842,plain,
% 48.77/31.82 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB64, bitIndex1)) | v129(constB64, bitIndex1) | (~v100(constB64))),
% 48.77/31.82 inference(modus_ponens,[status(thm)],[9841, 9840])).
% 48.77/31.82 tff(9843,plain,
% 48.77/31.82 (v129(constB64, bitIndex1) | (~v100(constB64))),
% 48.77/31.82 inference(unit_resolution,[status(thm)],[9842, 483, 9836])).
% 48.77/31.82 tff(9844,plain,
% 48.77/31.82 (v129(constB64, bitIndex1)),
% 48.77/31.82 inference(unit_resolution,[status(thm)],[9843, 9835])).
% 48.77/31.82 tff(9845,plain,
% 48.77/31.82 (((~![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)))),
% 48.77/31.82 inference(rewrite,[status(thm)],[])).
% 48.77/31.82 tff(9846,plain,
% 48.77/31.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB63, constB64)) | v127(constB63, bitIndex1) | (~v129(constB64, bitIndex1)))),
% 48.77/31.82 inference(quant_inst,[status(thm)],[])).
% 48.77/31.82 tff(9847,plain,
% 48.77/31.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB63, constB64)) | v127(constB63, bitIndex1) | (~v129(constB64, bitIndex1))),
% 48.77/31.82 inference(modus_ponens,[status(thm)],[9846, 9845])).
% 48.77/31.82 tff(9848,plain,
% 48.77/31.82 (v127(constB63, bitIndex1) | (~v129(constB64, bitIndex1))),
% 48.77/31.82 inference(unit_resolution,[status(thm)],[9847, 468, 9308])).
% 48.77/31.82 tff(9849,plain,
% 48.77/31.82 (v127(constB63, bitIndex1)),
% 48.77/31.82 inference(unit_resolution,[status(thm)],[9848, 9844])).
% 48.77/31.82 tff(9850,plain,
% 48.77/31.82 (((~![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))),
% 48.77/31.82 inference(rewrite,[status(thm)],[])).
% 48.77/31.82 tff(9851,plain,
% 48.77/31.82 ((v26(constB63) | v130(constB63, bitIndex1) | (~v127(constB63, bitIndex1))) <=> ((~v127(constB63, bitIndex1)) | v26(constB63) | v130(constB63, bitIndex1))),
% 48.77/31.82 inference(rewrite,[status(thm)],[])).
% 48.77/31.82 tff(9852,plain,
% 48.77/31.82 (((~![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)))),
% 48.77/31.82 inference(monotonicity,[status(thm)],[9851])).
% 48.77/31.82 tff(9853,plain,
% 48.77/31.82 (((~![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))),
% 48.77/31.82 inference(transitivity,[status(thm)],[9852, 9850])).
% 48.77/31.82 tff(9854,plain,
% 48.77/31.82 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB63) | v130(constB63, bitIndex1) | (~v127(constB63, bitIndex1)))),
% 48.77/31.82 inference(quant_inst,[status(thm)],[])).
% 48.77/31.82 tff(9855,plain,
% 48.77/31.82 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB63, bitIndex1)) | v26(constB63) | v130(constB63, bitIndex1)),
% 48.77/31.82 inference(modus_ponens,[status(thm)],[9854, 9853])).
% 48.77/31.82 tff(9856,plain,
% 48.77/31.82 ((~v127(constB63, bitIndex1)) | v130(constB63, bitIndex1)),
% 48.77/31.82 inference(unit_resolution,[status(thm)],[9855, 450, 9293])).
% 48.77/31.82 tff(9857,plain,
% 48.77/31.82 (v130(constB63, bitIndex1)),
% 48.77/31.82 inference(unit_resolution,[status(thm)],[9856, 9849])).
% 48.77/31.82 tff(9858,assumption,(v90(constB64, bitIndex2)), introduced(assumption)).
% 48.77/31.82 tff(9859,plain,
% 48.77/31.82 (v129(constB64, bitIndex2) | (~v100(constB64))),
% 48.77/31.82 inference(unit_resolution,[status(thm)],[9792, 1258, 9858])).
% 48.77/31.82 tff(9860,plain,
% 48.77/31.82 (v129(constB64, bitIndex2)),
% 48.77/31.82 inference(unit_resolution,[status(thm)],[9859, 9835])).
% 48.77/31.82 tff(9861,plain,
% 48.77/31.82 (v127(constB63, bitIndex2)),
% 48.77/31.82 inference(unit_resolution,[status(thm)],[9785, 9860])).
% 48.77/31.82 tff(9862,plain,
% 48.77/31.82 (v130(constB63, bitIndex2)),
% 48.77/31.82 inference(unit_resolution,[status(thm)],[9780, 9861])).
% 48.77/31.82 tff(9863,plain,
% 48.77/31.82 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB63)) | (~v130(constB63, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB63)) | (~v130(constB63, bitIndex2)))),
% 48.77/31.82 inference(rewrite,[status(thm)],[])).
% 48.77/31.82 tff(9864,plain,
% 48.77/31.82 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB63)) | (~v130(constB63, bitIndex2)))),
% 48.77/31.82 inference(quant_inst,[status(thm)],[])).
% 48.77/31.82 tff(9865,plain,
% 48.77/31.82 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB63)) | (~v130(constB63, bitIndex2))),
% 48.77/31.82 inference(modus_ponens,[status(thm)],[9864, 9863])).
% 48.77/31.82 tff(9866,plain,
% 48.77/31.82 (~v121(constB63)),
% 48.77/31.82 inference(unit_resolution,[status(thm)],[9865, 1645, 9862])).
% 48.77/31.82 tff(9867,assumption,(v90(constB64, bitIndex0)), introduced(assumption)).
% 48.77/31.82 tff(9868,plain,
% 48.77/31.82 (v129(constB64, bitIndex0) | (~v100(constB64))),
% 48.77/31.82 inference(unit_resolution,[status(thm)],[9730, 557, 9867])).
% 48.77/31.82 tff(9869,plain,
% 48.77/31.82 (v129(constB64, bitIndex0)),
% 48.77/31.82 inference(unit_resolution,[status(thm)],[9868, 9835])).
% 48.77/31.82 tff(9870,plain,
% 48.77/31.82 (v127(constB63, bitIndex0)),
% 48.77/31.82 inference(unit_resolution,[status(thm)],[9736, 9869])).
% 48.77/31.82 tff(9871,plain,
% 48.77/31.82 (v130(constB63, bitIndex0)),
% 48.77/31.82 inference(unit_resolution,[status(thm)],[9744, 9870])).
% 48.77/31.82 tff(9872,plain,
% 48.77/31.82 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB63)) | (~v130(constB63, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB63)) | (~v130(constB63, bitIndex0)))),
% 48.77/31.82 inference(rewrite,[status(thm)],[])).
% 48.77/31.82 tff(9873,plain,
% 48.77/31.82 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB63)) | (~v130(constB63, bitIndex0)))),
% 48.77/31.82 inference(quant_inst,[status(thm)],[])).
% 48.77/31.82 tff(9874,plain,
% 48.77/31.82 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB63)) | (~v130(constB63, bitIndex0))),
% 48.77/31.82 inference(modus_ponens,[status(thm)],[9873, 9872])).
% 48.77/31.82 tff(9875,plain,
% 48.77/31.82 (~v122(constB63)),
% 48.77/31.82 inference(unit_resolution,[status(thm)],[9874, 1997, 9871])).
% 48.77/31.82 tff(9876,assumption,(~v124(constB63)), introduced(assumption)).
% 48.77/31.82 tff(9877,assumption,(~v123(constB63)), introduced(assumption)).
% 48.77/31.82 tff(9878,plain,
% 48.77/31.82 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB63, bitIndex1)) | v124(constB63) | v123(constB63) | v121(constB63) | v120(constB63) | v119(constB63) | v122(constB63))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB63, bitIndex1)) | v124(constB63) | v123(constB63) | v121(constB63) | v120(constB63) | v119(constB63) | v122(constB63))),
% 48.77/31.82 inference(rewrite,[status(thm)],[])).
% 48.77/31.82 tff(9879,plain,
% 48.77/31.82 ((v120(constB63) | v119(constB63) | v121(constB63) | v122(constB63) | v123(constB63) | v124(constB63) | (~v130(constB63, bitIndex1))) <=> ((~v130(constB63, bitIndex1)) | v124(constB63) | v123(constB63) | v121(constB63) | v120(constB63) | v119(constB63) | v122(constB63))),
% 48.77/31.82 inference(rewrite,[status(thm)],[])).
% 48.77/31.82 tff(9880,plain,
% 48.77/31.82 (((~![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) | v123(constB63) | v121(constB63) | v120(constB63) | v119(constB63) | v122(constB63)))),
% 48.77/31.82 inference(monotonicity,[status(thm)],[9879])).
% 48.77/31.82 tff(9881,plain,
% 48.77/31.82 (((~![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) | v123(constB63) | v121(constB63) | v120(constB63) | v119(constB63) | v122(constB63))),
% 48.77/31.82 inference(transitivity,[status(thm)],[9880, 9878])).
% 48.77/31.82 tff(9882,plain,
% 48.77/31.82 ((~![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)))),
% 48.77/31.82 inference(quant_inst,[status(thm)],[])).
% 48.77/31.82 tff(9883,plain,
% 48.77/31.82 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB63, bitIndex1)) | v124(constB63) | v123(constB63) | v121(constB63) | v120(constB63) | v119(constB63) | v122(constB63)),
% 48.77/31.82 inference(modus_ponens,[status(thm)],[9882, 9881])).
% 48.77/31.82 tff(9884,plain,
% 48.77/31.82 ((~v130(constB63, bitIndex1)) | v121(constB63) | v122(constB63)),
% 48.77/31.82 inference(unit_resolution,[status(thm)],[9883, 1143, 9877, 9252, 9254, 9876])).
% 48.77/31.82 tff(9885,plain,
% 48.77/31.82 ($false),
% 48.77/31.82 inference(unit_resolution,[status(thm)],[9884, 9875, 9866, 9857])).
% 48.77/31.82 tff(9886,plain,((~v100(constB64)) | v123(constB63) | v119(constB63) | v120(constB63) | v124(constB63) | (~v90(constB64, bitIndex1)) | (~v90(constB64, bitIndex0)) | (~v90(constB64, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 48.77/31.82 tff(9887,plain,
% 48.77/31.82 (~v100(constB64)),
% 48.77/31.82 inference(unit_resolution,[status(thm)],[9886, 9834, 9816, 9815, 9811, 9807, 9709, 9803])).
% 48.77/31.82 tff(9888,plain,
% 48.77/31.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB63, bitIndex2) | (~nextState(constB63, constB64)) | v100(constB64) | (~v90(constB64, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB63, bitIndex2) | (~nextState(constB63, constB64)) | v100(constB64) | (~v90(constB64, bitIndex2)))),
% 48.77/31.82 inference(rewrite,[status(thm)],[])).
% 48.77/31.82 tff(9889,plain,
% 48.77/31.82 (((~nextState(constB63, constB64)) | v90(constB63, bitIndex2) | v100(constB64) | (~v90(constB64, bitIndex2))) <=> (v90(constB63, bitIndex2) | (~nextState(constB63, constB64)) | v100(constB64) | (~v90(constB64, bitIndex2)))),
% 48.77/31.82 inference(rewrite,[status(thm)],[])).
% 48.77/31.82 tff(9890,plain,
% 48.77/31.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB63, constB64)) | v90(constB63, bitIndex2) | v100(constB64) | (~v90(constB64, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB63, bitIndex2) | (~nextState(constB63, constB64)) | v100(constB64) | (~v90(constB64, bitIndex2))))),
% 48.77/31.82 inference(monotonicity,[status(thm)],[9889])).
% 48.77/31.82 tff(9891,plain,
% 48.77/31.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB63, constB64)) | v90(constB63, bitIndex2) | v100(constB64) | (~v90(constB64, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB63, bitIndex2) | (~nextState(constB63, constB64)) | v100(constB64) | (~v90(constB64, bitIndex2)))),
% 48.77/31.82 inference(transitivity,[status(thm)],[9890, 9888])).
% 48.77/31.82 tff(9892,plain,
% 48.77/31.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB63, constB64)) | v90(constB63, bitIndex2) | v100(constB64) | (~v90(constB64, bitIndex2)))),
% 48.77/31.82 inference(quant_inst,[status(thm)],[])).
% 48.77/31.82 tff(9893,plain,
% 48.77/31.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB63, bitIndex2) | (~nextState(constB63, constB64)) | v100(constB64) | (~v90(constB64, bitIndex2))),
% 48.77/31.82 inference(modus_ponens,[status(thm)],[9892, 9891])).
% 48.77/31.82 tff(9894,plain,
% 48.77/31.82 (v90(constB63, bitIndex2) | v100(constB64) | (~v90(constB64, bitIndex2))),
% 48.77/31.82 inference(unit_resolution,[status(thm)],[9893, 81, 9308])).
% 48.77/31.82 tff(9895,plain,
% 48.77/31.82 (v90(constB63, bitIndex2)),
% 48.77/31.82 inference(unit_resolution,[status(thm)],[9894, 9887, 9709])).
% 48.77/31.82 tff(9896,plain,
% 48.77/31.82 (((~![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)))),
% 48.77/31.82 inference(rewrite,[status(thm)],[])).
% 48.77/31.82 tff(9897,plain,
% 48.77/31.82 (((~nextState(constB62, constB63)) | v90(constB62, bitIndex2) | v100(constB63) | (~v90(constB63, bitIndex2))) <=> (v90(constB62, bitIndex2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, bitIndex2)))),
% 48.77/31.82 inference(rewrite,[status(thm)],[])).
% 48.77/31.82 tff(9898,plain,
% 48.77/31.82 (((~![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))))),
% 48.77/31.82 inference(monotonicity,[status(thm)],[9897])).
% 48.77/31.82 tff(9899,plain,
% 48.77/31.82 (((~![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)))),
% 48.77/31.82 inference(transitivity,[status(thm)],[9898, 9896])).
% 48.77/31.82 tff(9900,plain,
% 48.77/31.82 ((~![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)))),
% 48.77/31.82 inference(quant_inst,[status(thm)],[])).
% 48.77/31.82 tff(9901,plain,
% 48.77/31.82 ((~![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))),
% 48.77/31.82 inference(modus_ponens,[status(thm)],[9900, 9899])).
% 48.77/31.82 tff(9902,plain,
% 48.77/31.82 (v90(constB62, bitIndex2) | v100(constB63) | (~v90(constB63, bitIndex2))),
% 48.77/31.82 inference(unit_resolution,[status(thm)],[9901, 81, 9200])).
% 48.77/31.82 tff(9903,plain,
% 48.77/31.82 (v90(constB62, bitIndex2) | (~v90(constB63, bitIndex2))),
% 48.77/31.82 inference(unit_resolution,[status(thm)],[9902, 9212])).
% 48.77/31.82 tff(9904,plain,
% 48.77/31.82 (v90(constB62, bitIndex2)),
% 48.77/31.82 inference(unit_resolution,[status(thm)],[9903, 9895])).
% 48.77/31.82 tff(9905,plain,
% 48.77/31.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB63, bitIndex0) | (~nextState(constB63, constB64)) | v100(constB64) | (~v90(constB64, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB63, bitIndex0) | (~nextState(constB63, constB64)) | v100(constB64) | (~v90(constB64, bitIndex0)))),
% 48.77/31.82 inference(rewrite,[status(thm)],[])).
% 48.77/31.82 tff(9906,plain,
% 48.77/31.82 (((~nextState(constB63, constB64)) | v90(constB63, bitIndex0) | v100(constB64) | (~v90(constB64, bitIndex0))) <=> (v90(constB63, bitIndex0) | (~nextState(constB63, constB64)) | v100(constB64) | (~v90(constB64, bitIndex0)))),
% 48.77/31.82 inference(rewrite,[status(thm)],[])).
% 48.77/31.82 tff(9907,plain,
% 48.77/31.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB63, constB64)) | v90(constB63, bitIndex0) | v100(constB64) | (~v90(constB64, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB63, bitIndex0) | (~nextState(constB63, constB64)) | v100(constB64) | (~v90(constB64, bitIndex0))))),
% 48.77/31.82 inference(monotonicity,[status(thm)],[9906])).
% 48.77/31.82 tff(9908,plain,
% 48.77/31.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB63, constB64)) | v90(constB63, bitIndex0) | v100(constB64) | (~v90(constB64, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB63, bitIndex0) | (~nextState(constB63, constB64)) | v100(constB64) | (~v90(constB64, bitIndex0)))),
% 48.77/31.82 inference(transitivity,[status(thm)],[9907, 9905])).
% 48.77/31.82 tff(9909,plain,
% 48.77/31.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB63, constB64)) | v90(constB63, bitIndex0) | v100(constB64) | (~v90(constB64, bitIndex0)))),
% 48.77/31.82 inference(quant_inst,[status(thm)],[])).
% 48.77/31.83 tff(9910,plain,
% 48.77/31.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB63, bitIndex0) | (~nextState(constB63, constB64)) | v100(constB64) | (~v90(constB64, bitIndex0))),
% 48.77/31.83 inference(modus_ponens,[status(thm)],[9909, 9908])).
% 48.77/31.83 tff(9911,plain,
% 48.77/31.83 (v90(constB63, bitIndex0) | v100(constB64) | (~v90(constB64, bitIndex0))),
% 48.77/31.83 inference(unit_resolution,[status(thm)],[9910, 123, 9308])).
% 48.77/31.83 tff(9912,plain,
% 48.77/31.83 (v90(constB63, bitIndex0)),
% 48.77/31.83 inference(unit_resolution,[status(thm)],[9911, 9887, 9816])).
% 48.77/31.83 tff(9913,plain,
% 48.77/31.83 (v90(constB62, bitIndex0)),
% 48.77/31.83 inference(unit_resolution,[status(thm)],[9406, 9912])).
% 48.77/31.83 tff(9914,plain,
% 48.77/31.83 (v90(constB62, bitIndex1)),
% 48.77/31.83 inference(unit_resolution,[status(thm)],[9220, 9799])).
% 48.77/31.83 tff(9915,assumption,(v100(constB62)), introduced(assumption)).
% 48.77/31.83 tff(9916,assumption,(v90(constB62, bitIndex1)), introduced(assumption)).
% 48.77/31.83 tff(9917,plain,
% 48.77/31.83 (v129(constB62, bitIndex1) | (~v100(constB62))),
% 48.77/31.83 inference(unit_resolution,[status(thm)],[9192, 483, 9916])).
% 48.77/31.83 tff(9918,plain,
% 48.77/31.83 (v129(constB62, bitIndex1)),
% 48.77/31.83 inference(unit_resolution,[status(thm)],[9917, 9915])).
% 48.77/31.83 tff(9919,plain,
% 48.77/31.83 (v127(constB61, bitIndex1)),
% 48.77/31.83 inference(unit_resolution,[status(thm)],[9185, 9918])).
% 48.77/31.83 tff(9920,plain,
% 48.77/31.83 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB61)) | (~v127(constB61, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB61)) | (~v127(constB61, bitIndex1)))),
% 48.77/31.83 inference(rewrite,[status(thm)],[])).
% 48.77/31.83 tff(9921,plain,
% 48.77/31.83 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB61)) | (~v127(constB61, bitIndex1)))),
% 48.77/31.83 inference(quant_inst,[status(thm)],[])).
% 48.77/31.83 tff(9922,plain,
% 48.77/31.83 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB61)) | (~v127(constB61, bitIndex1))),
% 48.77/31.83 inference(modus_ponens,[status(thm)],[9921, 9920])).
% 48.77/31.83 tff(9923,plain,
% 48.77/31.83 (~v26(constB61)),
% 48.77/31.83 inference(unit_resolution,[status(thm)],[9922, 1959, 9919])).
% 48.77/31.83 tff(9924,plain,
% 48.77/31.83 (v130(constB61, bitIndex1)),
% 48.77/31.83 inference(unit_resolution,[status(thm)],[9179, 450, 9919, 9923])).
% 48.77/31.83 tff(9925,plain,
% 48.77/31.83 (~v122(constB61)),
% 48.77/31.83 inference(unit_resolution,[status(thm)],[9168, 1935, 9924])).
% 48.77/31.83 tff(9926,plain,
% 48.77/31.83 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB61)) | (~v130(constB61, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB61)) | (~v130(constB61, bitIndex1)))),
% 48.77/31.83 inference(rewrite,[status(thm)],[])).
% 48.77/31.83 tff(9927,plain,
% 48.77/31.83 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB61)) | (~v130(constB61, bitIndex1)))),
% 48.77/31.83 inference(quant_inst,[status(thm)],[])).
% 48.77/31.83 tff(9928,plain,
% 48.77/31.83 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB61)) | (~v130(constB61, bitIndex1))),
% 48.77/31.83 inference(modus_ponens,[status(thm)],[9927, 9926])).
% 48.77/31.83 tff(9929,plain,
% 48.77/31.83 (~v119(constB61)),
% 48.77/31.83 inference(unit_resolution,[status(thm)],[9928, 436, 9924])).
% 48.77/31.83 tff(9930,assumption,(v90(constB62, bitIndex0)), introduced(assumption)).
% 48.77/31.83 tff(9931,plain,
% 48.77/31.83 (v129(constB62, bitIndex0) | (~v100(constB62))),
% 48.77/31.83 inference(unit_resolution,[status(thm)],[9396, 557, 9930])).
% 48.77/31.83 tff(9932,plain,
% 48.77/31.83 (v129(constB62, bitIndex0)),
% 48.77/31.83 inference(unit_resolution,[status(thm)],[9931, 9915])).
% 48.77/31.83 tff(9933,plain,
% 48.77/31.83 (v127(constB61, bitIndex0)),
% 48.77/31.83 inference(unit_resolution,[status(thm)],[9389, 9932])).
% 48.77/31.83 tff(9934,plain,
% 48.77/31.83 (v130(constB61, bitIndex0)),
% 48.77/31.83 inference(unit_resolution,[status(thm)],[9383, 524, 9933, 9923])).
% 48.77/31.83 tff(9935,plain,
% 48.77/31.83 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB61)) | (~v130(constB61, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB61)) | (~v130(constB61, bitIndex0)))),
% 48.77/31.83 inference(rewrite,[status(thm)],[])).
% 48.77/31.83 tff(9936,plain,
% 48.77/31.83 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB61)) | (~v130(constB61, bitIndex0)))),
% 48.77/31.83 inference(quant_inst,[status(thm)],[])).
% 48.77/31.83 tff(9937,plain,
% 48.77/31.83 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB61)) | (~v130(constB61, bitIndex0))),
% 48.77/31.83 inference(modus_ponens,[status(thm)],[9936, 9935])).
% 48.77/31.83 tff(9938,plain,
% 48.77/31.83 (~v120(constB61)),
% 48.77/31.83 inference(unit_resolution,[status(thm)],[9937, 1492, 9934])).
% 48.77/31.83 tff(9939,assumption,(v90(constB62, bitIndex2)), introduced(assumption)).
% 48.77/31.83 tff(9940,plain,
% 48.77/31.83 (((~![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)))),
% 48.77/31.83 inference(rewrite,[status(thm)],[])).
% 48.77/31.83 tff(9941,plain,
% 48.77/31.83 (((~v90(constB62, bitIndex2)) | (~v100(constB62)) | v129(constB62, bitIndex2)) <=> ((~v90(constB62, bitIndex2)) | v129(constB62, bitIndex2) | (~v100(constB62)))),
% 48.77/31.83 inference(rewrite,[status(thm)],[])).
% 48.77/31.83 tff(9942,plain,
% 48.77/31.83 (((~![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))))),
% 48.77/31.83 inference(monotonicity,[status(thm)],[9941])).
% 48.77/31.83 tff(9943,plain,
% 48.77/31.83 (((~![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)))),
% 48.77/31.83 inference(transitivity,[status(thm)],[9942, 9940])).
% 48.77/31.83 tff(9944,plain,
% 48.77/31.83 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB62, bitIndex2)) | (~v100(constB62)) | v129(constB62, bitIndex2))),
% 48.77/31.83 inference(quant_inst,[status(thm)],[])).
% 48.77/31.83 tff(9945,plain,
% 48.77/31.83 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB62, bitIndex2)) | v129(constB62, bitIndex2) | (~v100(constB62))),
% 48.77/31.83 inference(modus_ponens,[status(thm)],[9944, 9943])).
% 48.77/31.83 tff(9946,plain,
% 48.77/31.83 (v129(constB62, bitIndex2) | (~v100(constB62))),
% 48.77/31.83 inference(unit_resolution,[status(thm)],[9945, 1258, 9939])).
% 48.77/31.83 tff(9947,plain,
% 48.77/31.83 (v129(constB62, bitIndex2)),
% 48.77/31.83 inference(unit_resolution,[status(thm)],[9946, 9915])).
% 48.77/31.83 tff(9948,plain,
% 48.77/31.83 (((~![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)))),
% 48.77/31.83 inference(rewrite,[status(thm)],[])).
% 48.77/31.83 tff(9949,plain,
% 48.77/31.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB61, constB62)) | v127(constB61, bitIndex2) | (~v129(constB62, bitIndex2)))),
% 48.77/31.83 inference(quant_inst,[status(thm)],[])).
% 48.77/31.83 tff(9950,plain,
% 48.77/31.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB61, constB62)) | v127(constB61, bitIndex2) | (~v129(constB62, bitIndex2))),
% 48.77/31.83 inference(modus_ponens,[status(thm)],[9949, 9948])).
% 48.77/31.83 tff(9951,plain,
% 48.77/31.83 (v127(constB61, bitIndex2) | (~v129(constB62, bitIndex2))),
% 48.77/31.83 inference(unit_resolution,[status(thm)],[9950, 1243, 9131])).
% 48.77/31.83 tff(9952,plain,
% 48.77/31.83 (v127(constB61, bitIndex2)),
% 48.77/31.83 inference(unit_resolution,[status(thm)],[9951, 9947])).
% 48.77/31.83 tff(9953,plain,
% 48.77/31.83 (((~![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))),
% 48.77/31.83 inference(rewrite,[status(thm)],[])).
% 48.77/31.83 tff(9954,plain,
% 48.77/31.83 ((v26(constB61) | v130(constB61, bitIndex2) | (~v127(constB61, bitIndex2))) <=> ((~v127(constB61, bitIndex2)) | v26(constB61) | v130(constB61, bitIndex2))),
% 48.77/31.83 inference(rewrite,[status(thm)],[])).
% 48.77/31.83 tff(9955,plain,
% 48.77/31.83 (((~![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)))),
% 48.77/31.83 inference(monotonicity,[status(thm)],[9954])).
% 48.77/31.83 tff(9956,plain,
% 48.77/31.83 (((~![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))),
% 48.77/31.83 inference(transitivity,[status(thm)],[9955, 9953])).
% 48.77/31.83 tff(9957,plain,
% 48.77/31.83 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB61) | v130(constB61, bitIndex2) | (~v127(constB61, bitIndex2)))),
% 48.77/31.83 inference(quant_inst,[status(thm)],[])).
% 48.77/31.83 tff(9958,plain,
% 48.77/31.83 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB61, bitIndex2)) | v26(constB61) | v130(constB61, bitIndex2)),
% 48.77/31.83 inference(modus_ponens,[status(thm)],[9957, 9956])).
% 48.77/31.83 tff(9959,plain,
% 48.77/31.83 (v130(constB61, bitIndex2)),
% 48.77/31.83 inference(unit_resolution,[status(thm)],[9958, 1210, 9952, 9923])).
% 48.77/31.83 tff(9960,plain,
% 48.77/31.83 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB61)) | (~v130(constB61, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB61)) | (~v130(constB61, bitIndex2)))),
% 48.77/31.83 inference(rewrite,[status(thm)],[])).
% 48.77/31.83 tff(9961,plain,
% 48.77/31.83 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB61)) | (~v130(constB61, bitIndex2)))),
% 48.77/31.83 inference(quant_inst,[status(thm)],[])).
% 48.77/31.83 tff(9962,plain,
% 48.77/31.83 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB61)) | (~v130(constB61, bitIndex2))),
% 48.77/31.83 inference(modus_ponens,[status(thm)],[9961, 9960])).
% 48.77/31.83 tff(9963,plain,
% 48.77/31.83 (~v121(constB61)),
% 48.77/31.83 inference(unit_resolution,[status(thm)],[9962, 1645, 9959])).
% 48.77/31.83 tff(9964,plain,
% 48.77/31.83 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB61)) | (~v130(constB61, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB61)) | (~v130(constB61, bitIndex0)))),
% 48.77/31.83 inference(rewrite,[status(thm)],[])).
% 48.77/31.83 tff(9965,plain,
% 48.77/31.83 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB61)) | (~v130(constB61, bitIndex0)))),
% 48.77/31.83 inference(quant_inst,[status(thm)],[])).
% 48.77/31.83 tff(9966,plain,
% 48.77/31.83 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB61)) | (~v130(constB61, bitIndex0))),
% 48.77/31.83 inference(modus_ponens,[status(thm)],[9965, 9964])).
% 48.77/31.83 tff(9967,plain,
% 48.77/31.83 (~v123(constB61)),
% 48.77/31.83 inference(unit_resolution,[status(thm)],[9966, 975, 9934])).
% 48.77/31.83 tff(9968,plain,
% 48.77/31.83 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB61)) | (~v130(constB61, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB61)) | (~v130(constB61, bitIndex2)))),
% 48.77/31.83 inference(rewrite,[status(thm)],[])).
% 48.77/31.83 tff(9969,plain,
% 48.77/31.83 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB61)) | (~v130(constB61, bitIndex2)))),
% 48.77/31.83 inference(quant_inst,[status(thm)],[])).
% 48.77/31.83 tff(9970,plain,
% 48.77/31.83 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB61)) | (~v130(constB61, bitIndex2))),
% 48.77/31.83 inference(modus_ponens,[status(thm)],[9969, 9968])).
% 48.77/31.83 tff(9971,plain,
% 48.77/31.83 (~v124(constB61)),
% 48.77/31.83 inference(unit_resolution,[status(thm)],[9970, 2853, 9959])).
% 48.77/31.83 tff(9972,plain,
% 48.77/31.83 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB61, bitIndex1)) | v124(constB61) | v123(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | v122(constB61))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB61, bitIndex1)) | v124(constB61) | v123(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | v122(constB61))),
% 48.77/31.83 inference(rewrite,[status(thm)],[])).
% 48.77/31.83 tff(9973,plain,
% 48.77/31.83 ((v120(constB61) | v119(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, bitIndex1))) <=> ((~v130(constB61, bitIndex1)) | v124(constB61) | v123(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | v122(constB61))),
% 48.77/31.83 inference(rewrite,[status(thm)],[])).
% 48.77/31.83 tff(9974,plain,
% 48.77/31.83 (((~![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) | v123(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | v122(constB61)))),
% 48.77/31.83 inference(monotonicity,[status(thm)],[9973])).
% 48.77/31.83 tff(9975,plain,
% 48.77/31.83 (((~![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) | v123(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | v122(constB61))),
% 48.77/31.83 inference(transitivity,[status(thm)],[9974, 9972])).
% 48.77/31.83 tff(9976,plain,
% 48.77/31.83 ((~![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)))),
% 48.77/31.83 inference(quant_inst,[status(thm)],[])).
% 48.77/31.83 tff(9977,plain,
% 48.77/31.83 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB61, bitIndex1)) | v124(constB61) | v123(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | v122(constB61)),
% 48.77/31.83 inference(modus_ponens,[status(thm)],[9976, 9975])).
% 48.77/31.83 tff(9978,plain,
% 48.77/31.83 (v124(constB61) | v123(constB61) | v121(constB61) | v120(constB61) | v119(constB61) | v122(constB61)),
% 48.77/31.83 inference(unit_resolution,[status(thm)],[9977, 1143, 9924])).
% 48.77/31.83 tff(9979,plain,
% 48.77/31.83 ($false),
% 48.77/31.83 inference(unit_resolution,[status(thm)],[9978, 9971, 9967, 9963, 9938, 9929, 9925])).
% 48.77/31.83 tff(9980,plain,((~v100(constB62)) | (~v90(constB62, bitIndex2)) | (~v90(constB62, bitIndex0)) | (~v90(constB62, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 48.77/31.83 tff(9981,plain,
% 48.77/31.83 (~v100(constB62)),
% 48.77/31.83 inference(unit_resolution,[status(thm)],[9980, 9913, 9904, 9914])).
% 48.77/31.83 tff(9982,assumption,(~v100(constB62)), introduced(assumption)).
% 48.77/31.83 tff(9983,plain,
% 48.77/31.83 (((~![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)))),
% 48.77/31.83 inference(rewrite,[status(thm)],[])).
% 48.77/31.83 tff(9984,plain,
% 48.77/31.83 (((~nextState(constB61, constB62)) | v90(constB61, bitIndex2) | v100(constB62) | (~v90(constB62, bitIndex2))) <=> (v90(constB61, bitIndex2) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, bitIndex2)))),
% 48.77/31.83 inference(rewrite,[status(thm)],[])).
% 48.77/31.83 tff(9985,plain,
% 48.77/31.83 (((~![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))))),
% 48.77/31.83 inference(monotonicity,[status(thm)],[9984])).
% 48.77/31.83 tff(9986,plain,
% 48.77/31.83 (((~![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)))),
% 48.77/31.83 inference(transitivity,[status(thm)],[9985, 9983])).
% 48.77/31.83 tff(9987,plain,
% 48.77/31.83 ((~![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)))),
% 48.77/31.83 inference(quant_inst,[status(thm)],[])).
% 48.77/31.83 tff(9988,plain,
% 48.77/31.83 ((~![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))),
% 48.77/31.83 inference(modus_ponens,[status(thm)],[9987, 9986])).
% 48.77/31.83 tff(9989,plain,
% 48.77/31.83 (v90(constB61, bitIndex2) | v100(constB62) | (~v90(constB62, bitIndex2))),
% 48.77/31.83 inference(unit_resolution,[status(thm)],[9988, 81, 9131])).
% 48.77/31.83 tff(9990,plain,
% 48.77/31.83 (v90(constB61, bitIndex2)),
% 48.77/31.83 inference(unit_resolution,[status(thm)],[9989, 9982, 9939])).
% 48.77/31.83 tff(9991,plain,
% 48.77/31.83 (v90(constB60, bitIndex2)),
% 48.77/31.83 inference(unit_resolution,[status(thm)],[8761, 9990])).
% 48.77/31.83 tff(9992,assumption,(~v90(constB59, bitIndex0)), introduced(assumption)).
% 48.77/31.83 tff(9993,plain,
% 48.77/31.83 (((~![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)))),
% 48.77/31.83 inference(rewrite,[status(thm)],[])).
% 48.77/31.83 tff(9994,plain,
% 48.77/31.83 (((~nextState(constB61, constB62)) | v90(constB61, bitIndex0) | v100(constB62) | (~v90(constB62, bitIndex0))) <=> (v90(constB61, bitIndex0) | (~nextState(constB61, constB62)) | v100(constB62) | (~v90(constB62, bitIndex0)))),
% 48.77/31.83 inference(rewrite,[status(thm)],[])).
% 48.77/31.83 tff(9995,plain,
% 48.77/31.83 (((~![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))))),
% 48.77/31.83 inference(monotonicity,[status(thm)],[9994])).
% 48.77/31.83 tff(9996,plain,
% 48.77/31.83 (((~![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)))),
% 48.77/31.83 inference(transitivity,[status(thm)],[9995, 9993])).
% 48.77/31.83 tff(9997,plain,
% 48.77/31.83 ((~![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)))),
% 48.77/31.83 inference(quant_inst,[status(thm)],[])).
% 48.77/31.83 tff(9998,plain,
% 48.77/31.83 ((~![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))),
% 48.77/31.83 inference(modus_ponens,[status(thm)],[9997, 9996])).
% 48.77/31.83 tff(9999,plain,
% 48.77/31.83 (v90(constB61, bitIndex0) | v100(constB62) | (~v90(constB62, bitIndex0))),
% 48.77/31.83 inference(unit_resolution,[status(thm)],[9998, 123, 9131])).
% 48.77/31.83 tff(10000,plain,
% 48.77/31.83 (v90(constB61, bitIndex0)),
% 48.77/31.83 inference(unit_resolution,[status(thm)],[9999, 9982, 9930])).
% 48.77/31.83 tff(10001,plain,
% 48.77/31.83 (((~![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)))),
% 48.77/31.83 inference(rewrite,[status(thm)],[])).
% 48.77/31.83 tff(10002,plain,
% 48.77/31.83 (((~nextState(constB60, constB61)) | v90(constB60, bitIndex0) | v100(constB61) | (~v90(constB61, bitIndex0))) <=> (v90(constB60, bitIndex0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, bitIndex0)))),
% 48.77/31.83 inference(rewrite,[status(thm)],[])).
% 48.77/31.83 tff(10003,plain,
% 48.77/31.83 (((~![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))))),
% 48.77/31.83 inference(monotonicity,[status(thm)],[10002])).
% 48.77/31.83 tff(10004,plain,
% 48.77/31.83 (((~![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)))),
% 48.77/31.83 inference(transitivity,[status(thm)],[10003, 10001])).
% 48.77/31.83 tff(10005,plain,
% 48.77/31.83 ((~![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)))),
% 48.77/31.83 inference(quant_inst,[status(thm)],[])).
% 48.77/31.83 tff(10006,plain,
% 48.77/31.83 ((~![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))),
% 48.77/31.83 inference(modus_ponens,[status(thm)],[10005, 10004])).
% 48.77/31.83 tff(10007,plain,
% 48.77/31.83 (v90(constB60, bitIndex0) | v100(constB61) | (~v90(constB61, bitIndex0))),
% 48.77/31.83 inference(unit_resolution,[status(thm)],[10006, 123, 8631])).
% 48.77/31.83 tff(10008,plain,
% 48.77/31.83 (v90(constB60, bitIndex0) | (~v90(constB61, bitIndex0))),
% 48.77/31.83 inference(unit_resolution,[status(thm)],[10007, 8643])).
% 48.77/31.83 tff(10009,plain,
% 48.77/31.83 (v90(constB60, bitIndex0)),
% 48.77/31.83 inference(unit_resolution,[status(thm)],[10008, 10000])).
% 48.77/31.83 tff(10010,plain,
% 48.77/31.83 (((~![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)))),
% 48.77/31.83 inference(rewrite,[status(thm)],[])).
% 48.77/31.83 tff(10011,plain,
% 48.77/31.83 (((~nextState(constB59, constB60)) | v90(constB59, bitIndex0) | v100(constB60) | (~v90(constB60, bitIndex0))) <=> (v90(constB59, bitIndex0) | (~nextState(constB59, constB60)) | v100(constB60) | (~v90(constB60, bitIndex0)))),
% 48.77/31.83 inference(rewrite,[status(thm)],[])).
% 48.77/31.83 tff(10012,plain,
% 48.77/31.83 (((~![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))))),
% 48.77/31.83 inference(monotonicity,[status(thm)],[10011])).
% 48.77/31.83 tff(10013,plain,
% 48.77/31.83 (((~![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)))),
% 48.77/31.83 inference(transitivity,[status(thm)],[10012, 10010])).
% 48.77/31.83 tff(10014,plain,
% 48.77/31.83 ((~![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)))),
% 48.77/31.83 inference(quant_inst,[status(thm)],[])).
% 48.77/31.83 tff(10015,plain,
% 48.77/31.83 ((~![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))),
% 48.77/31.83 inference(modus_ponens,[status(thm)],[10014, 10013])).
% 48.77/31.83 tff(10016,plain,
% 48.77/31.83 (v90(constB59, bitIndex0) | v100(constB60) | (~v90(constB60, bitIndex0))),
% 48.77/31.83 inference(unit_resolution,[status(thm)],[10015, 123, 8569])).
% 48.77/31.83 tff(10017,plain,
% 48.77/31.83 (v100(constB60)),
% 48.77/31.83 inference(unit_resolution,[status(thm)],[10016, 10009, 9992])).
% 48.77/31.83 tff(10018,plain,
% 48.77/31.83 (v129(constB60, bitIndex2)),
% 48.77/31.83 inference(unit_resolution,[status(thm)],[8750, 1258, 10017, 9991])).
% 48.77/31.83 tff(10019,plain,
% 48.77/31.83 (v127(constB59, bitIndex2)),
% 48.77/31.83 inference(unit_resolution,[status(thm)],[8743, 10018])).
% 48.77/31.83 tff(10020,assumption,(~v130(constB59, bitIndex2)), introduced(assumption)).
% 48.77/31.84 tff(10021,plain,
% 48.77/31.84 ((~v127(constB59, bitIndex2)) | v26(constB59)),
% 48.77/31.84 inference(unit_resolution,[status(thm)],[8732, 1210, 10020])).
% 48.77/31.84 tff(10022,plain,
% 48.77/31.84 (v26(constB59)),
% 48.77/31.84 inference(unit_resolution,[status(thm)],[10021, 10019])).
% 48.77/31.84 tff(10023,plain,
% 48.77/31.84 (((~![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)))),
% 48.77/31.84 inference(rewrite,[status(thm)],[])).
% 48.77/31.84 tff(10024,plain,
% 48.77/31.84 (((~v90(constB60, bitIndex0)) | (~v100(constB60)) | v129(constB60, bitIndex0)) <=> ((~v90(constB60, bitIndex0)) | v129(constB60, bitIndex0) | (~v100(constB60)))),
% 48.77/31.84 inference(rewrite,[status(thm)],[])).
% 48.77/31.84 tff(10025,plain,
% 48.77/31.84 (((~![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))))),
% 48.77/31.84 inference(monotonicity,[status(thm)],[10024])).
% 48.77/31.84 tff(10026,plain,
% 48.77/31.84 (((~![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)))),
% 48.77/31.84 inference(transitivity,[status(thm)],[10025, 10023])).
% 48.77/31.84 tff(10027,plain,
% 48.77/31.84 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB60, bitIndex0)) | (~v100(constB60)) | v129(constB60, bitIndex0))),
% 48.77/31.84 inference(quant_inst,[status(thm)],[])).
% 48.77/31.84 tff(10028,plain,
% 48.77/31.84 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB60, bitIndex0)) | v129(constB60, bitIndex0) | (~v100(constB60))),
% 48.77/31.84 inference(modus_ponens,[status(thm)],[10027, 10026])).
% 48.77/31.84 tff(10029,plain,
% 48.77/31.84 (v129(constB60, bitIndex0)),
% 48.77/31.84 inference(unit_resolution,[status(thm)],[10028, 557, 10017, 10009])).
% 48.77/31.84 tff(10030,plain,
% 48.77/31.84 (((~![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)))),
% 48.77/31.84 inference(rewrite,[status(thm)],[])).
% 48.77/31.84 tff(10031,plain,
% 48.77/31.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB59, constB60)) | v127(constB59, bitIndex0) | (~v129(constB60, bitIndex0)))),
% 48.77/31.84 inference(quant_inst,[status(thm)],[])).
% 48.77/31.84 tff(10032,plain,
% 48.77/31.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB59, constB60)) | v127(constB59, bitIndex0) | (~v129(constB60, bitIndex0))),
% 48.77/31.84 inference(modus_ponens,[status(thm)],[10031, 10030])).
% 48.77/31.84 tff(10033,plain,
% 48.77/31.84 (v127(constB59, bitIndex0) | (~v129(constB60, bitIndex0))),
% 48.77/31.84 inference(unit_resolution,[status(thm)],[10032, 542, 8569])).
% 48.77/31.84 tff(10034,plain,
% 48.77/31.84 (v127(constB59, bitIndex0)),
% 48.77/31.84 inference(unit_resolution,[status(thm)],[10033, 10029])).
% 48.77/31.84 tff(10035,plain,
% 48.77/31.84 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB59)) | (~v127(constB59, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB59)) | (~v127(constB59, bitIndex0)))),
% 48.77/31.84 inference(rewrite,[status(thm)],[])).
% 48.77/31.84 tff(10036,plain,
% 48.77/31.84 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB59)) | (~v127(constB59, bitIndex0)))),
% 48.77/31.84 inference(quant_inst,[status(thm)],[])).
% 48.77/31.84 tff(10037,plain,
% 48.77/31.84 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB59)) | (~v127(constB59, bitIndex0))),
% 48.77/31.84 inference(modus_ponens,[status(thm)],[10036, 10035])).
% 48.77/31.84 tff(10038,plain,
% 48.77/31.84 ($false),
% 48.77/31.84 inference(unit_resolution,[status(thm)],[10037, 1514, 10034, 10022])).
% 48.77/31.84 tff(10039,plain,(v100(constB62) | v130(constB59, bitIndex2) | v90(constB59, bitIndex0) | (~v90(constB62, bitIndex2)) | (~v90(constB62, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 48.77/31.84 tff(10040,plain,
% 48.77/31.84 (v100(constB62) | (~v90(constB62, bitIndex2)) | (~v90(constB62, bitIndex0))),
% 48.77/31.84 inference(unit_resolution,[status(thm)],[10039, 8533, 8726])).
% 48.77/31.84 tff(10041,plain,
% 48.77/31.84 ($false),
% 48.77/31.84 inference(unit_resolution,[status(thm)],[10040, 9981, 9913, 9904])).
% 48.77/31.84 tff(10042,plain,(v100(constB66) | v122(constB65)), inference(lemma,lemma(discharge,[]))).
% 48.77/31.84 tff(10043,plain,
% 48.77/31.84 (v100(constB66)),
% 48.77/31.84 inference(unit_resolution,[status(thm)],[10042, 9504])).
% 48.77/31.84 tff(10044,plain,
% 48.77/31.84 (((~![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)))),
% 48.77/31.84 inference(rewrite,[status(thm)],[])).
% 48.77/31.84 tff(10045,plain,
% 48.77/31.84 (((~v90(constB66, bitIndex2)) | (~v100(constB66)) | v129(constB66, bitIndex2)) <=> ((~v90(constB66, bitIndex2)) | v129(constB66, bitIndex2) | (~v100(constB66)))),
% 48.77/31.84 inference(rewrite,[status(thm)],[])).
% 48.77/31.84 tff(10046,plain,
% 48.77/31.84 (((~![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))))),
% 48.77/31.84 inference(monotonicity,[status(thm)],[10045])).
% 48.77/31.84 tff(10047,plain,
% 48.77/31.84 (((~![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)))),
% 48.77/31.84 inference(transitivity,[status(thm)],[10046, 10044])).
% 48.77/31.84 tff(10048,plain,
% 48.77/31.84 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB66, bitIndex2)) | (~v100(constB66)) | v129(constB66, bitIndex2))),
% 48.77/31.84 inference(quant_inst,[status(thm)],[])).
% 48.77/31.84 tff(10049,plain,
% 48.77/31.84 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB66, bitIndex2)) | v129(constB66, bitIndex2) | (~v100(constB66))),
% 48.77/31.84 inference(modus_ponens,[status(thm)],[10048, 10047])).
% 48.77/31.84 tff(10050,plain,
% 48.77/31.84 ((~v90(constB66, bitIndex2)) | v129(constB66, bitIndex2)),
% 48.77/31.84 inference(unit_resolution,[status(thm)],[10049, 1258, 10043])).
% 48.77/31.84 tff(10051,plain,
% 48.77/31.84 (~v90(constB66, bitIndex2)),
% 48.77/31.84 inference(unit_resolution,[status(thm)],[10050, 9539])).
% 48.77/31.84 tff(10052,plain,
% 48.77/31.84 ((~v1(constB67)) <=> (~v1(constB67))),
% 48.77/31.84 inference(rewrite,[status(thm)],[])).
% 48.77/31.84 tff(10053,axiom,(~v1(constB67)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_67_1_1')).
% 48.77/31.84 tff(10054,plain,
% 48.77/31.84 (~v1(constB67)),
% 48.77/31.84 inference(modus_ponens,[status(thm)],[10053, 10052])).
% 48.77/31.84 tff(10055,plain,
% 48.77/31.84 (nextState(constB66, constB67) <=> nextState(constB66, constB67)),
% 48.77/31.84 inference(rewrite,[status(thm)],[])).
% 48.77/31.84 tff(10056,axiom,(nextState(constB66, constB67)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_66_1')).
% 48.77/31.84 tff(10057,plain,
% 48.77/31.84 (nextState(constB66, constB67)),
% 48.77/31.84 inference(modus_ponens,[status(thm)],[10056, 10055])).
% 48.77/31.84 tff(10058,plain,
% 48.77/31.84 (((~![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)))),
% 48.77/31.84 inference(rewrite,[status(thm)],[])).
% 48.77/31.84 tff(10059,plain,
% 48.77/31.84 (((~nextState(constB66, constB67)) | (~v101(constB67)) | v1(constB67)) <=> (v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67)))),
% 48.77/31.84 inference(rewrite,[status(thm)],[])).
% 48.77/31.84 tff(10060,plain,
% 48.77/31.84 (((~![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))))),
% 48.77/31.84 inference(monotonicity,[status(thm)],[10059])).
% 48.77/31.84 tff(10061,plain,
% 48.77/31.84 (((~![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)))),
% 48.77/31.84 inference(transitivity,[status(thm)],[10060, 10058])).
% 48.77/31.84 tff(10062,plain,
% 48.77/31.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB66, constB67)) | (~v101(constB67)) | v1(constB67))),
% 48.77/31.84 inference(quant_inst,[status(thm)],[])).
% 48.77/31.84 tff(10063,plain,
% 48.77/31.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67))),
% 48.77/31.84 inference(modus_ponens,[status(thm)],[10062, 10061])).
% 48.77/31.84 tff(10064,plain,
% 48.77/31.84 (~v101(constB67)),
% 48.77/31.84 inference(unit_resolution,[status(thm)],[10063, 49, 10057, 10054])).
% 48.77/31.84 tff(10065,plain,
% 48.77/31.84 (((~![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)))),
% 48.77/31.84 inference(rewrite,[status(thm)],[])).
% 48.77/31.84 tff(10066,plain,
% 48.77/31.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB66, constB67)) | v101(constB67) | (~v100(constB67)))),
% 48.77/31.84 inference(quant_inst,[status(thm)],[])).
% 48.77/31.84 tff(10067,plain,
% 48.77/31.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB66, constB67)) | v101(constB67) | (~v100(constB67))),
% 48.77/31.84 inference(modus_ponens,[status(thm)],[10066, 10065])).
% 48.77/31.84 tff(10068,plain,
% 48.77/31.84 (v101(constB67) | (~v100(constB67))),
% 48.77/31.84 inference(unit_resolution,[status(thm)],[10067, 66, 10057])).
% 48.77/31.84 tff(10069,plain,
% 48.77/31.84 (~v100(constB67)),
% 48.77/31.84 inference(unit_resolution,[status(thm)],[10068, 10064])).
% 48.77/31.84 tff(10070,plain,
% 48.77/31.84 (((~![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)))),
% 48.77/31.84 inference(rewrite,[status(thm)],[])).
% 48.77/31.84 tff(10071,plain,
% 48.77/31.84 (((~nextState(constB66, constB67)) | v90(constB66, bitIndex2) | v100(constB67) | (~v90(constB67, bitIndex2))) <=> (v90(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex2)))),
% 48.77/31.84 inference(rewrite,[status(thm)],[])).
% 48.77/31.84 tff(10072,plain,
% 48.77/31.84 (((~![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))))),
% 48.77/31.84 inference(monotonicity,[status(thm)],[10071])).
% 48.77/31.84 tff(10073,plain,
% 48.77/31.84 (((~![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)))),
% 48.77/31.84 inference(transitivity,[status(thm)],[10072, 10070])).
% 48.77/31.84 tff(10074,plain,
% 48.77/31.84 ((~![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)))),
% 48.77/31.84 inference(quant_inst,[status(thm)],[])).
% 48.77/31.84 tff(10075,plain,
% 48.77/31.84 ((~![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))),
% 48.77/31.84 inference(modus_ponens,[status(thm)],[10074, 10073])).
% 48.77/31.84 tff(10076,plain,
% 48.77/31.84 (v90(constB66, bitIndex2) | v100(constB67) | (~v90(constB67, bitIndex2))),
% 48.77/31.84 inference(unit_resolution,[status(thm)],[10075, 81, 10057])).
% 48.77/31.84 tff(10077,plain,
% 48.77/31.84 (v90(constB66, bitIndex2) | (~v90(constB67, bitIndex2))),
% 48.77/31.84 inference(unit_resolution,[status(thm)],[10076, 10069])).
% 48.77/31.84 tff(10078,plain,
% 48.77/31.84 (~v90(constB67, bitIndex2)),
% 48.77/31.84 inference(unit_resolution,[status(thm)],[10077, 10051])).
% 48.77/31.84 tff(10079,plain,
% 48.77/31.84 (((~![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)))),
% 48.77/31.84 inference(rewrite,[status(thm)],[])).
% 48.77/31.84 tff(10080,plain,
% 48.77/31.84 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB67, bitIndex2) | (~v88(constB67, bitIndex2)))),
% 48.77/31.84 inference(quant_inst,[status(thm)],[])).
% 48.77/31.84 tff(10081,plain,
% 48.77/31.84 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB67, bitIndex2) | (~v88(constB67, bitIndex2))),
% 48.77/31.84 inference(modus_ponens,[status(thm)],[10080, 10079])).
% 48.77/31.84 tff(10082,plain,
% 48.77/31.84 (~v88(constB67, bitIndex2)),
% 48.77/31.84 inference(unit_resolution,[status(thm)],[10081, 8769, 10078])).
% 48.77/31.84 tff(10083,plain,
% 48.77/31.84 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB65, bitIndex1)) | v123(constB65) | v121(constB65) | v124(constB65) | v120(constB65) | v122(constB65) | v119(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) | v124(constB65) | v120(constB65) | v122(constB65) | v119(constB65))),
% 48.77/31.84 inference(rewrite,[status(thm)],[])).
% 48.77/31.84 tff(10084,plain,
% 48.77/31.84 ((v120(constB65) | v119(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | (~v130(constB65, bitIndex1))) <=> ((~v130(constB65, bitIndex1)) | v123(constB65) | v121(constB65) | v124(constB65) | v120(constB65) | v122(constB65) | v119(constB65))),
% 48.77/31.84 inference(rewrite,[status(thm)],[])).
% 48.77/31.84 tff(10085,plain,
% 48.77/31.84 (((~![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) | v124(constB65) | v120(constB65) | v122(constB65) | v119(constB65)))),
% 48.77/31.84 inference(monotonicity,[status(thm)],[10084])).
% 48.77/31.84 tff(10086,plain,
% 48.77/31.84 (((~![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) | v124(constB65) | v120(constB65) | v122(constB65) | v119(constB65))),
% 48.77/31.84 inference(transitivity,[status(thm)],[10085, 10083])).
% 48.77/31.84 tff(10087,plain,
% 48.77/31.84 ((~![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)))),
% 48.77/31.84 inference(quant_inst,[status(thm)],[])).
% 48.77/31.84 tff(10088,plain,
% 48.77/31.84 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB65, bitIndex1)) | v123(constB65) | v121(constB65) | v124(constB65) | v120(constB65) | v122(constB65) | v119(constB65)),
% 48.77/31.84 inference(modus_ponens,[status(thm)],[10087, 10086])).
% 48.77/31.84 tff(10089,plain,
% 48.77/31.84 (~v130(constB65, bitIndex1)),
% 48.77/31.84 inference(unit_resolution,[status(thm)],[10088, 1143, 9512, 9508, 9504, 9500, 9496, 9461])).
% 48.77/31.84 tff(10090,plain,
% 48.77/31.84 (((~![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))),
% 48.77/31.84 inference(rewrite,[status(thm)],[])).
% 48.77/31.84 tff(10091,plain,
% 48.77/31.84 ((v26(constB65) | v130(constB65, bitIndex1) | (~v127(constB65, bitIndex1))) <=> ((~v127(constB65, bitIndex1)) | v26(constB65) | v130(constB65, bitIndex1))),
% 48.77/31.84 inference(rewrite,[status(thm)],[])).
% 48.77/31.84 tff(10092,plain,
% 48.77/31.84 (((~![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)))),
% 48.77/31.84 inference(monotonicity,[status(thm)],[10091])).
% 48.77/31.84 tff(10093,plain,
% 48.77/31.84 (((~![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))),
% 48.77/31.84 inference(transitivity,[status(thm)],[10092, 10090])).
% 48.77/31.84 tff(10094,plain,
% 48.77/31.84 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB65) | v130(constB65, bitIndex1) | (~v127(constB65, bitIndex1)))),
% 48.77/31.84 inference(quant_inst,[status(thm)],[])).
% 48.77/31.84 tff(10095,plain,
% 48.77/31.84 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB65, bitIndex1)) | v26(constB65) | v130(constB65, bitIndex1)),
% 48.77/31.84 inference(modus_ponens,[status(thm)],[10094, 10093])).
% 48.77/31.84 tff(10096,plain,
% 48.77/31.84 ((~v127(constB65, bitIndex1)) | v130(constB65, bitIndex1)),
% 48.77/31.84 inference(unit_resolution,[status(thm)],[10095, 450, 9523])).
% 48.77/31.84 tff(10097,plain,
% 48.77/31.84 (~v127(constB65, bitIndex1)),
% 48.77/31.84 inference(unit_resolution,[status(thm)],[10096, 10089])).
% 48.77/31.84 tff(10098,plain,
% 48.77/31.84 (((~![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)))),
% 48.77/31.84 inference(rewrite,[status(thm)],[])).
% 48.77/31.84 tff(10099,plain,
% 48.77/31.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB65, constB66)) | v127(constB65, bitIndex1) | (~v129(constB66, bitIndex1)))),
% 48.77/31.84 inference(quant_inst,[status(thm)],[])).
% 48.77/31.84 tff(10100,plain,
% 48.77/31.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB65, constB66)) | v127(constB65, bitIndex1) | (~v129(constB66, bitIndex1))),
% 48.77/31.84 inference(modus_ponens,[status(thm)],[10099, 10098])).
% 48.77/31.84 tff(10101,plain,
% 48.77/31.84 (v127(constB65, bitIndex1) | (~v129(constB66, bitIndex1))),
% 48.77/31.84 inference(unit_resolution,[status(thm)],[10100, 468, 9534])).
% 48.77/31.84 tff(10102,plain,
% 48.77/31.84 (~v129(constB66, bitIndex1)),
% 48.77/31.84 inference(unit_resolution,[status(thm)],[10101, 10097])).
% 48.77/31.84 tff(10103,plain,
% 48.77/31.84 (((~![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)))),
% 48.77/31.84 inference(rewrite,[status(thm)],[])).
% 48.77/31.84 tff(10104,plain,
% 48.77/31.84 (((~v90(constB66, bitIndex1)) | (~v100(constB66)) | v129(constB66, bitIndex1)) <=> ((~v90(constB66, bitIndex1)) | v129(constB66, bitIndex1) | (~v100(constB66)))),
% 48.77/31.84 inference(rewrite,[status(thm)],[])).
% 48.77/31.84 tff(10105,plain,
% 48.77/31.84 (((~![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))))),
% 48.77/31.84 inference(monotonicity,[status(thm)],[10104])).
% 48.77/31.84 tff(10106,plain,
% 48.77/31.84 (((~![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)))),
% 48.77/31.84 inference(transitivity,[status(thm)],[10105, 10103])).
% 48.77/31.84 tff(10107,plain,
% 48.77/31.84 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB66, bitIndex1)) | (~v100(constB66)) | v129(constB66, bitIndex1))),
% 48.77/31.84 inference(quant_inst,[status(thm)],[])).
% 48.77/31.84 tff(10108,plain,
% 48.77/31.84 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB66, bitIndex1)) | v129(constB66, bitIndex1) | (~v100(constB66))),
% 48.77/31.84 inference(modus_ponens,[status(thm)],[10107, 10106])).
% 48.77/31.84 tff(10109,plain,
% 48.77/31.84 ((~v90(constB66, bitIndex1)) | v129(constB66, bitIndex1)),
% 48.77/31.84 inference(unit_resolution,[status(thm)],[10108, 483, 10043])).
% 48.77/31.84 tff(10110,plain,
% 48.77/31.84 (~v90(constB66, bitIndex1)),
% 48.77/31.84 inference(unit_resolution,[status(thm)],[10109, 10102])).
% 48.77/31.84 tff(10111,plain,
% 48.77/31.84 (((~![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)))),
% 48.77/31.84 inference(rewrite,[status(thm)],[])).
% 48.77/31.84 tff(10112,plain,
% 48.77/31.84 (((~nextState(constB66, constB67)) | v90(constB66, bitIndex1) | v100(constB67) | (~v90(constB67, bitIndex1))) <=> (v90(constB66, bitIndex1) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, bitIndex1)))),
% 48.77/31.84 inference(rewrite,[status(thm)],[])).
% 48.77/31.84 tff(10113,plain,
% 48.77/31.84 (((~![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))))),
% 48.77/31.84 inference(monotonicity,[status(thm)],[10112])).
% 48.77/31.84 tff(10114,plain,
% 48.77/31.84 (((~![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)))),
% 48.77/31.84 inference(transitivity,[status(thm)],[10113, 10111])).
% 48.77/31.84 tff(10115,plain,
% 48.77/31.84 ((~![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)))),
% 48.77/31.84 inference(quant_inst,[status(thm)],[])).
% 48.77/31.84 tff(10116,plain,
% 48.77/31.84 ((~![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))),
% 48.77/31.84 inference(modus_ponens,[status(thm)],[10115, 10114])).
% 48.77/31.84 tff(10117,plain,
% 48.77/31.84 (v90(constB66, bitIndex1) | v100(constB67) | (~v90(constB67, bitIndex1))),
% 48.77/31.84 inference(unit_resolution,[status(thm)],[10116, 102, 10057])).
% 48.77/31.84 tff(10118,plain,
% 48.77/31.84 (v90(constB66, bitIndex1) | (~v90(constB67, bitIndex1))),
% 48.77/31.84 inference(unit_resolution,[status(thm)],[10117, 10069])).
% 48.77/31.84 tff(10119,plain,
% 48.77/31.84 (~v90(constB67, bitIndex1)),
% 48.77/31.84 inference(unit_resolution,[status(thm)],[10118, 10110])).
% 48.77/31.84 tff(10120,plain,
% 48.77/31.84 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1))) <=> (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1))))),
% 48.77/31.84 inference(bind,[status(th)],[])).
% 48.77/31.84 tff(10121,plain,
% 48.77/31.84 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))),
% 48.77/31.84 inference(quant_intro,[status(thm)],[10120])).
% 48.77/31.84 tff(10122,plain,
% 48.77/31.84 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))),
% 48.77/31.84 inference(rewrite,[status(thm)],[])).
% 48.77/31.84 tff(10123,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_8_1_4')).
% 48.77/31.84 tff(10124,plain,
% 48.77/31.84 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))),
% 48.77/31.84 inference(modus_ponens,[status(thm)],[10123, 10122])).
% 48.77/31.84 tff(10125,plain,(
% 48.77/31.84 ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))),
% 48.77/31.84 inference(skolemize,[status(sab)],[10124])).
% 48.77/31.84 tff(10126,plain,
% 48.77/31.84 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))),
% 48.77/31.84 inference(modus_ponens,[status(thm)],[10125, 10121])).
% 48.77/31.84 tff(10127,plain,
% 48.77/31.84 (((~![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)))),
% 48.77/31.84 inference(rewrite,[status(thm)],[])).
% 48.77/31.84 tff(10128,plain,
% 48.77/31.84 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB67, bitIndex1) | (~v88(constB67, bitIndex1)))),
% 48.77/31.84 inference(quant_inst,[status(thm)],[])).
% 48.77/31.84 tff(10129,plain,
% 48.77/31.84 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB67, bitIndex1) | (~v88(constB67, bitIndex1))),
% 48.77/31.84 inference(modus_ponens,[status(thm)],[10128, 10127])).
% 48.77/31.84 tff(10130,plain,
% 48.77/31.84 (~v88(constB67, bitIndex1)),
% 48.77/31.84 inference(unit_resolution,[status(thm)],[10129, 10126, 10119])).
% 48.77/31.84 tff(10131,plain,
% 48.77/31.84 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v123(constB65) | v121(constB65) | v124(constB65) | v120(constB65) | v122(constB65) | v119(constB65) | v130(constB65, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v123(constB65) | v121(constB65) | v124(constB65) | v120(constB65) | v122(constB65) | v119(constB65) | v130(constB65, bitIndex0))),
% 48.77/31.84 inference(rewrite,[status(thm)],[])).
% 48.77/31.84 tff(10132,plain,
% 48.77/31.84 ((v120(constB65) | v119(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | v130(constB65, bitIndex0)) <=> (v123(constB65) | v121(constB65) | v124(constB65) | v120(constB65) | v122(constB65) | v119(constB65) | v130(constB65, bitIndex0))),
% 48.77/31.84 inference(rewrite,[status(thm)],[])).
% 48.77/31.84 tff(10133,plain,
% 48.77/31.84 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB65) | v119(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | v130(constB65, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v123(constB65) | v121(constB65) | v124(constB65) | v120(constB65) | v122(constB65) | v119(constB65) | v130(constB65, bitIndex0)))),
% 48.77/31.84 inference(monotonicity,[status(thm)],[10132])).
% 48.77/31.84 tff(10134,plain,
% 48.77/31.84 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB65) | v119(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | v130(constB65, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v123(constB65) | v121(constB65) | v124(constB65) | v120(constB65) | v122(constB65) | v119(constB65) | v130(constB65, bitIndex0))),
% 48.77/31.84 inference(transitivity,[status(thm)],[10133, 10131])).
% 48.77/31.84 tff(10135,plain,
% 48.77/31.84 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB65) | v119(constB65) | v121(constB65) | v122(constB65) | v123(constB65) | v124(constB65) | v130(constB65, bitIndex0))),
% 48.77/31.84 inference(quant_inst,[status(thm)],[])).
% 48.77/31.84 tff(10136,plain,
% 48.77/31.84 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v123(constB65) | v121(constB65) | v124(constB65) | v120(constB65) | v122(constB65) | v119(constB65) | v130(constB65, bitIndex0)),
% 48.77/31.84 inference(modus_ponens,[status(thm)],[10135, 10134])).
% 48.77/31.84 tff(10137,plain,
% 48.77/31.84 (v130(constB65, bitIndex0)),
% 48.77/31.84 inference(unit_resolution,[status(thm)],[10136, 908, 9512, 9508, 9504, 9500, 9496, 9461])).
% 48.77/31.84 tff(10138,plain,
% 48.77/31.84 (((~![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))),
% 48.77/31.85 inference(rewrite,[status(thm)],[])).
% 48.77/31.85 tff(10139,plain,
% 48.77/31.85 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB65) | (~v130(constB65, bitIndex0)) | v127(constB65, bitIndex0))),
% 48.77/31.85 inference(quant_inst,[status(thm)],[])).
% 48.77/31.85 tff(10140,plain,
% 48.77/31.85 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB65) | (~v130(constB65, bitIndex0)) | v127(constB65, bitIndex0)),
% 48.77/31.85 inference(modus_ponens,[status(thm)],[10139, 10138])).
% 48.77/31.85 tff(10141,plain,
% 48.77/31.85 ((~v130(constB65, bitIndex0)) | v127(constB65, bitIndex0)),
% 48.77/31.85 inference(unit_resolution,[status(thm)],[10140, 926, 9523])).
% 48.77/31.85 tff(10142,plain,
% 48.77/31.85 (v127(constB65, bitIndex0)),
% 48.77/31.85 inference(unit_resolution,[status(thm)],[10141, 10137])).
% 48.77/31.85 tff(10143,plain,
% 48.77/31.85 (((~![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))),
% 48.77/31.85 inference(rewrite,[status(thm)],[])).
% 48.77/31.85 tff(10144,plain,
% 48.77/31.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB65, constB66)) | (~v127(constB65, bitIndex0)) | v129(constB66, bitIndex0))),
% 48.77/31.85 inference(quant_inst,[status(thm)],[])).
% 48.77/31.85 tff(10145,plain,
% 48.77/31.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB65, constB66)) | (~v127(constB65, bitIndex0)) | v129(constB66, bitIndex0)),
% 48.77/31.85 inference(modus_ponens,[status(thm)],[10144, 10143])).
% 48.77/31.85 tff(10146,plain,
% 48.77/31.85 ((~v127(constB65, bitIndex0)) | v129(constB66, bitIndex0)),
% 48.77/31.85 inference(unit_resolution,[status(thm)],[10145, 944, 9534])).
% 48.77/31.85 tff(10147,plain,
% 48.77/31.85 (v129(constB66, bitIndex0)),
% 48.77/31.85 inference(unit_resolution,[status(thm)],[10146, 10142])).
% 48.77/31.85 tff(10148,plain,
% 48.77/31.85 (((~![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)))),
% 48.77/31.85 inference(rewrite,[status(thm)],[])).
% 48.77/31.85 tff(10149,plain,
% 48.77/31.85 ((v90(constB66, bitIndex0) | (~v100(constB66)) | (~v129(constB66, bitIndex0))) <=> (v90(constB66, bitIndex0) | (~v129(constB66, bitIndex0)) | (~v100(constB66)))),
% 48.77/31.85 inference(rewrite,[status(thm)],[])).
% 48.77/31.85 tff(10150,plain,
% 48.77/31.85 (((~![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))))),
% 48.77/31.85 inference(monotonicity,[status(thm)],[10149])).
% 48.77/31.85 tff(10151,plain,
% 48.77/31.85 (((~![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)))),
% 48.77/31.85 inference(transitivity,[status(thm)],[10150, 10148])).
% 48.77/31.85 tff(10152,plain,
% 48.77/31.85 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB66, bitIndex0) | (~v100(constB66)) | (~v129(constB66, bitIndex0)))),
% 48.77/31.85 inference(quant_inst,[status(thm)],[])).
% 48.77/31.85 tff(10153,plain,
% 48.77/31.85 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB66, bitIndex0) | (~v129(constB66, bitIndex0)) | (~v100(constB66))),
% 48.77/31.85 inference(modus_ponens,[status(thm)],[10152, 10151])).
% 48.77/31.85 tff(10154,plain,
% 48.77/31.85 (v90(constB66, bitIndex0) | (~v129(constB66, bitIndex0))),
% 48.77/31.85 inference(unit_resolution,[status(thm)],[10153, 1088, 10043])).
% 48.77/31.85 tff(10155,plain,
% 48.77/31.85 (v90(constB66, bitIndex0)),
% 48.77/31.85 inference(unit_resolution,[status(thm)],[10154, 10147])).
% 48.77/31.85 tff(10156,plain,
% 48.77/31.85 (((~![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))),
% 48.77/31.85 inference(rewrite,[status(thm)],[])).
% 48.77/31.85 tff(10157,plain,
% 48.77/31.85 (((~nextState(constB66, constB67)) | (~v90(constB66, bitIndex0)) | v100(constB67) | v90(constB67, bitIndex0)) <=> ((~v90(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, bitIndex0))),
% 48.77/31.85 inference(rewrite,[status(thm)],[])).
% 48.77/31.85 tff(10158,plain,
% 48.77/31.85 (((~![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)))),
% 48.77/31.85 inference(monotonicity,[status(thm)],[10157])).
% 48.77/31.85 tff(10159,plain,
% 48.77/31.85 (((~![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))),
% 48.77/31.85 inference(transitivity,[status(thm)],[10158, 10156])).
% 48.77/31.85 tff(10160,plain,
% 48.77/31.85 ((~![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))),
% 48.77/31.85 inference(quant_inst,[status(thm)],[])).
% 48.77/31.85 tff(10161,plain,
% 48.77/31.85 ((~![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)),
% 48.77/31.85 inference(modus_ponens,[status(thm)],[10160, 10159])).
% 48.77/31.85 tff(10162,plain,
% 48.77/31.85 ((~v90(constB66, bitIndex0)) | v100(constB67) | v90(constB67, bitIndex0)),
% 48.77/31.85 inference(unit_resolution,[status(thm)],[10161, 1124, 10057])).
% 48.77/31.85 tff(10163,plain,
% 48.77/31.85 ((~v90(constB66, bitIndex0)) | v90(constB67, bitIndex0)),
% 48.77/31.85 inference(unit_resolution,[status(thm)],[10162, 10069])).
% 48.77/31.85 tff(10164,plain,
% 48.77/31.85 (v90(constB67, bitIndex0)),
% 48.77/31.85 inference(unit_resolution,[status(thm)],[10163, 10155])).
% 48.77/31.85 tff(10165,plain,
% 48.77/31.85 (((~![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))),
% 48.77/31.85 inference(rewrite,[status(thm)],[])).
% 48.77/31.85 tff(10166,plain,
% 48.77/31.85 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB67, bitIndex0)) | v88(constB67, bitIndex0))),
% 48.77/31.85 inference(quant_inst,[status(thm)],[])).
% 48.77/31.85 tff(10167,plain,
% 48.77/31.85 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB67, bitIndex0)) | v88(constB67, bitIndex0)),
% 48.77/31.85 inference(modus_ponens,[status(thm)],[10166, 10165])).
% 48.77/31.85 tff(10168,plain,
% 48.77/31.85 (v88(constB67, bitIndex0)),
% 48.77/31.85 inference(unit_resolution,[status(thm)],[10167, 8662, 10164])).
% 48.77/31.85 tff(10169,plain,
% 48.77/31.85 (^[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)))),
% 48.77/31.85 inference(bind,[status(th)],[])).
% 48.77/31.85 tff(10170,plain,
% 48.77/31.85 (![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))),
% 48.77/31.85 inference(quant_intro,[status(thm)],[10169])).
% 48.77/31.85 tff(10171,plain,
% 48.77/31.85 (![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))),
% 48.77/31.85 inference(rewrite,[status(thm)],[])).
% 48.77/31.85 tff(10172,plain,
% 48.77/31.85 (^[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))))),
% 48.77/31.85 inference(bind,[status(th)],[])).
% 48.77/31.85 tff(10173,plain,
% 48.77/31.85 (![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))),
% 48.77/31.85 inference(quant_intro,[status(thm)],[10172])).
% 48.77/31.85 tff(10174,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')).
% 48.77/31.85 tff(10175,plain,
% 48.77/31.85 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))),
% 48.77/31.85 inference(modus_ponens,[status(thm)],[10174, 10173])).
% 48.77/31.85 tff(10176,plain,
% 48.77/31.85 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))),
% 48.77/31.85 inference(modus_ponens,[status(thm)],[10175, 10171])).
% 48.77/31.85 tff(10177,plain,(
% 48.77/31.85 ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))),
% 48.77/31.85 inference(skolemize,[status(sab)],[10176])).
% 48.77/31.85 tff(10178,plain,
% 48.77/31.85 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))),
% 48.77/31.85 inference(modus_ponens,[status(thm)],[10177, 10170])).
% 48.77/31.85 tff(10179,plain,
% 48.77/31.85 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB67, bitIndex1) | v88(constB67, bitIndex2) | (~v88(constB67, bitIndex0)) | v140(constB67))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB67, bitIndex1) | v88(constB67, bitIndex2) | (~v88(constB67, bitIndex0)) | v140(constB67))),
% 48.77/31.85 inference(rewrite,[status(thm)],[])).
% 48.77/31.85 tff(10180,plain,
% 48.77/31.85 ((v88(constB67, bitIndex2) | v88(constB67, bitIndex1) | (~v88(constB67, bitIndex0)) | v140(constB67)) <=> (v88(constB67, bitIndex1) | v88(constB67, bitIndex2) | (~v88(constB67, bitIndex0)) | v140(constB67))),
% 48.77/31.85 inference(rewrite,[status(thm)],[])).
% 48.77/31.85 tff(10181,plain,
% 48.77/31.85 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB67, bitIndex2) | v88(constB67, bitIndex1) | (~v88(constB67, bitIndex0)) | v140(constB67))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB67, bitIndex1) | v88(constB67, bitIndex2) | (~v88(constB67, bitIndex0)) | v140(constB67)))),
% 48.77/31.85 inference(monotonicity,[status(thm)],[10180])).
% 48.77/31.85 tff(10182,plain,
% 48.77/31.85 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB67, bitIndex2) | v88(constB67, bitIndex1) | (~v88(constB67, bitIndex0)) | v140(constB67))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB67, bitIndex1) | v88(constB67, bitIndex2) | (~v88(constB67, bitIndex0)) | v140(constB67))),
% 48.77/31.85 inference(transitivity,[status(thm)],[10181, 10179])).
% 48.77/31.85 tff(10183,plain,
% 48.77/31.85 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB67, bitIndex2) | v88(constB67, bitIndex1) | (~v88(constB67, bitIndex0)) | v140(constB67))),
% 48.77/31.85 inference(quant_inst,[status(thm)],[])).
% 48.77/31.85 tff(10184,plain,
% 48.77/31.85 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB67, bitIndex1) | v88(constB67, bitIndex2) | (~v88(constB67, bitIndex0)) | v140(constB67)),
% 48.77/31.85 inference(modus_ponens,[status(thm)],[10183, 10182])).
% 48.77/31.85 tff(10185,plain,
% 48.77/31.85 (v140(constB67)),
% 48.77/31.85 inference(unit_resolution,[status(thm)],[10184, 10178, 10168, 10130, 10082])).
% 48.77/31.85 tff(10186,plain,
% 48.77/31.85 (^[VarCurr: $i] : refl((v200(VarCurr) | (~v140(VarCurr))) <=> (v200(VarCurr) | (~v140(VarCurr))))),
% 48.77/31.85 inference(bind,[status(th)],[])).
% 48.77/31.85 tff(10187,plain,
% 48.77/31.85 (![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr))) <=> ![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))),
% 48.77/31.85 inference(quant_intro,[status(thm)],[10186])).
% 48.77/31.85 tff(10188,plain,
% 48.77/31.85 (![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr))) <=> ![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))),
% 48.77/31.85 inference(rewrite,[status(thm)],[])).
% 48.77/31.85 tff(10189,axiom,(![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_48_1_1')).
% 48.77/31.85 tff(10190,plain,
% 48.77/31.85 (![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))),
% 48.77/31.85 inference(modus_ponens,[status(thm)],[10189, 10188])).
% 48.77/31.85 tff(10191,plain,(
% 48.77/31.85 ![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))),
% 48.77/31.85 inference(skolemize,[status(sab)],[10190])).
% 48.77/31.85 tff(10192,plain,
% 48.77/31.85 (![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))),
% 48.77/31.85 inference(modus_ponens,[status(thm)],[10191, 10187])).
% 48.77/31.85 tff(10193,plain,
% 48.77/31.85 (((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB67) | (~v140(constB67)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB67) | (~v140(constB67)))),
% 48.77/31.85 inference(rewrite,[status(thm)],[])).
% 48.77/31.85 tff(10194,plain,
% 48.77/31.85 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB67) | (~v140(constB67)))),
% 48.77/31.85 inference(quant_inst,[status(thm)],[])).
% 48.77/31.85 tff(10195,plain,
% 48.77/31.85 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB67) | (~v140(constB67))),
% 48.77/31.85 inference(modus_ponens,[status(thm)],[10194, 10193])).
% 48.77/31.85 tff(10196,plain,
% 48.77/31.85 (v200(constB67)),
% 48.77/31.85 inference(unit_resolution,[status(thm)],[10195, 10192, 10185])).
% 48.77/31.85 tff(10197,plain,
% 48.77/31.85 (^[VarCurr: $i] : refl((v199(VarCurr) | (~v200(VarCurr))) <=> (v199(VarCurr) | (~v200(VarCurr))))),
% 48.77/31.85 inference(bind,[status(th)],[])).
% 48.77/31.85 tff(10198,plain,
% 48.77/31.85 (![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr))) <=> ![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))),
% 48.77/31.85 inference(quant_intro,[status(thm)],[10197])).
% 48.77/31.85 tff(10199,plain,
% 48.77/31.85 (![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr))) <=> ![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))),
% 48.77/31.85 inference(rewrite,[status(thm)],[])).
% 48.77/31.85 tff(10200,axiom,(![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_49_1_1_1')).
% 48.77/31.85 tff(10201,plain,
% 48.77/31.85 (![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))),
% 48.77/31.85 inference(modus_ponens,[status(thm)],[10200, 10199])).
% 48.77/31.85 tff(10202,plain,(
% 48.77/31.85 ![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))),
% 48.77/31.85 inference(skolemize,[status(sab)],[10201])).
% 48.77/31.85 tff(10203,plain,
% 48.77/31.85 (![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))),
% 48.77/31.85 inference(modus_ponens,[status(thm)],[10202, 10198])).
% 48.77/31.85 tff(10204,plain,
% 48.77/31.85 (((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB67) | (~v200(constB67)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB67) | (~v200(constB67)))),
% 48.77/31.85 inference(rewrite,[status(thm)],[])).
% 48.77/31.85 tff(10205,plain,
% 48.77/31.85 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB67) | (~v200(constB67)))),
% 48.77/31.85 inference(quant_inst,[status(thm)],[])).
% 48.77/31.85 tff(10206,plain,
% 48.77/31.85 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB67) | (~v200(constB67))),
% 48.77/31.85 inference(modus_ponens,[status(thm)],[10205, 10204])).
% 48.77/31.85 tff(10207,plain,
% 48.77/31.85 (v199(constB67)),
% 48.77/31.85 inference(unit_resolution,[status(thm)],[10206, 10203, 10196])).
% 48.77/31.85 tff(10208,plain,
% 48.77/31.85 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB67) | (~v199(constB67)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB67) | (~v199(constB67)))),
% 48.77/31.85 inference(rewrite,[status(thm)],[])).
% 48.77/31.85 tff(10209,plain,
% 48.77/31.85 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB67) | (~v199(constB67)))),
% 48.77/31.85 inference(quant_inst,[status(thm)],[])).
% 48.77/31.85 tff(10210,plain,
% 48.77/31.85 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB67) | (~v199(constB67))),
% 48.77/31.85 inference(modus_ponens,[status(thm)],[10209, 10208])).
% 48.77/31.85 tff(10211,plain,
% 48.77/31.85 (v198(constB67)),
% 48.77/31.85 inference(unit_resolution,[status(thm)],[10210, 8809, 10207])).
% 48.77/31.85 tff(10212,plain,
% 48.77/31.85 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB67)) | (~v201(constB67)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB67)) | (~v201(constB67)))),
% 48.77/31.85 inference(rewrite,[status(thm)],[])).
% 48.77/31.85 tff(10213,plain,
% 48.77/31.85 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB67)) | (~v201(constB67)))),
% 48.77/31.85 inference(quant_inst,[status(thm)],[])).
% 48.77/31.85 tff(10214,plain,
% 48.77/31.85 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB67)) | (~v201(constB67))),
% 48.77/31.85 inference(modus_ponens,[status(thm)],[10213, 10212])).
% 48.77/31.85 tff(10215,plain,
% 48.77/31.85 (~v201(constB67)),
% 48.77/31.85 inference(unit_resolution,[status(thm)],[10214, 8823, 10211])).
% 48.77/31.85 tff(10216,plain,
% 48.77/31.85 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB67) | (~v198(constB67)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB67) | (~v198(constB67)))),
% 48.77/31.85 inference(rewrite,[status(thm)],[])).
% 48.77/31.85 tff(10217,plain,
% 48.77/31.85 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB67) | (~v198(constB67)))),
% 48.77/31.85 inference(quant_inst,[status(thm)],[])).
% 48.77/31.85 tff(10218,plain,
% 48.77/31.85 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB67) | (~v198(constB67))),
% 48.77/31.85 inference(modus_ponens,[status(thm)],[10217, 10216])).
% 48.77/31.85 tff(10219,plain,
% 48.77/31.85 (v197(constB67)),
% 48.77/31.85 inference(unit_resolution,[status(thm)],[10218, 8834, 10211])).
% 48.77/31.85 tff(10220,plain,
% 48.77/31.85 (((~![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))),
% 48.77/31.85 inference(rewrite,[status(thm)],[])).
% 48.77/31.85 tff(10221,plain,
% 48.77/31.85 (((~v197(constB67)) | v201(constB67) | v227(constB67)) <=> (v227(constB67) | (~v197(constB67)) | v201(constB67))),
% 48.77/31.85 inference(rewrite,[status(thm)],[])).
% 48.77/31.85 tff(10222,plain,
% 48.77/31.85 (((~![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)))),
% 48.77/31.85 inference(monotonicity,[status(thm)],[10221])).
% 48.77/31.85 tff(10223,plain,
% 48.77/31.85 (((~![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))),
% 48.77/31.85 inference(transitivity,[status(thm)],[10222, 10220])).
% 48.77/31.85 tff(10224,plain,
% 48.77/31.85 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB67)) | v201(constB67) | v227(constB67))),
% 48.77/31.85 inference(quant_inst,[status(thm)],[])).
% 48.77/31.85 tff(10225,plain,
% 48.77/31.85 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB67) | (~v197(constB67)) | v201(constB67)),
% 48.77/31.85 inference(modus_ponens,[status(thm)],[10224, 10223])).
% 48.77/31.85 tff(10226,plain,
% 48.77/31.85 (v227(constB67)),
% 48.77/31.85 inference(unit_resolution,[status(thm)],[10225, 8848, 10219, 10215])).
% 48.77/31.85 tff(10227,plain,
% 48.77/31.85 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB67)) | (~v223(constB67, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB67)) | (~v223(constB67, bitIndex0)))),
% 48.77/31.85 inference(rewrite,[status(thm)],[])).
% 48.77/31.85 tff(10228,plain,
% 48.77/31.85 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB67)) | (~v223(constB67, bitIndex0)))),
% 48.77/31.85 inference(quant_inst,[status(thm)],[])).
% 48.77/31.85 tff(10229,plain,
% 48.77/31.85 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB67)) | (~v223(constB67, bitIndex0))),
% 48.77/31.85 inference(modus_ponens,[status(thm)],[10228, 10227])).
% 48.77/31.85 tff(10230,plain,
% 48.77/31.85 (~v223(constB67, bitIndex0)),
% 48.77/31.85 inference(unit_resolution,[status(thm)],[10229, 8862, 10226])).
% 48.77/31.85 tff(10231,plain,
% 48.77/31.85 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB67)) | (~v199(constB67)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB67)) | (~v199(constB67)))),
% 48.77/31.85 inference(rewrite,[status(thm)],[])).
% 48.77/31.85 tff(10232,plain,
% 48.77/31.85 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB67)) | (~v199(constB67)))),
% 48.77/31.85 inference(quant_inst,[status(thm)],[])).
% 48.77/31.85 tff(10233,plain,
% 48.77/31.85 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB67)) | (~v199(constB67))),
% 48.77/31.85 inference(modus_ponens,[status(thm)],[10232, 10231])).
% 48.77/31.85 tff(10234,plain,
% 48.77/31.85 (~v183(constB67)),
% 48.77/31.85 inference(unit_resolution,[status(thm)],[10233, 8873, 10207])).
% 48.77/31.85 tff(10235,plain,
% 48.77/31.85 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB67) | (~v197(constB67)) | v183(constB67))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB67) | (~v197(constB67)) | v183(constB67))),
% 48.77/31.85 inference(rewrite,[status(thm)],[])).
% 48.77/31.85 tff(10236,plain,
% 48.77/31.85 (((~v197(constB67)) | v183(constB67) | v228(constB67)) <=> (v228(constB67) | (~v197(constB67)) | v183(constB67))),
% 48.77/31.85 inference(rewrite,[status(thm)],[])).
% 48.77/31.85 tff(10237,plain,
% 48.77/31.85 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB67)) | v183(constB67) | v228(constB67))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB67) | (~v197(constB67)) | v183(constB67)))),
% 48.77/31.85 inference(monotonicity,[status(thm)],[10236])).
% 48.77/31.85 tff(10238,plain,
% 48.77/31.85 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB67)) | v183(constB67) | v228(constB67))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB67) | (~v197(constB67)) | v183(constB67))),
% 48.77/31.85 inference(transitivity,[status(thm)],[10237, 10235])).
% 48.77/31.85 tff(10239,plain,
% 48.77/31.85 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB67)) | v183(constB67) | v228(constB67))),
% 48.77/31.85 inference(quant_inst,[status(thm)],[])).
% 48.77/31.85 tff(10240,plain,
% 48.77/31.85 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB67) | (~v197(constB67)) | v183(constB67)),
% 48.77/31.85 inference(modus_ponens,[status(thm)],[10239, 10238])).
% 48.77/31.85 tff(10241,plain,
% 48.77/31.85 (v228(constB67)),
% 48.77/31.85 inference(unit_resolution,[status(thm)],[10240, 8887, 10219, 10234])).
% 48.77/31.85 tff(10242,plain,
% 48.77/31.85 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB67)) | (~v223(constB67, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB67)) | (~v223(constB67, bitIndex1)))),
% 48.77/31.85 inference(rewrite,[status(thm)],[])).
% 48.77/31.85 tff(10243,plain,
% 48.77/31.85 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB67)) | (~v223(constB67, bitIndex1)))),
% 48.77/31.85 inference(quant_inst,[status(thm)],[])).
% 48.77/31.85 tff(10244,plain,
% 48.77/31.85 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB67)) | (~v223(constB67, bitIndex1))),
% 48.77/31.85 inference(modus_ponens,[status(thm)],[10243, 10242])).
% 48.77/31.85 tff(10245,plain,
% 48.77/31.85 (~v223(constB67, bitIndex1)),
% 48.77/31.85 inference(unit_resolution,[status(thm)],[10244, 8901, 10241])).
% 48.77/31.85 tff(10246,plain,
% 48.77/31.85 (((~![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)))),
% 48.77/31.85 inference(rewrite,[status(thm)],[])).
% 48.77/31.85 tff(10247,plain,
% 48.77/31.85 ((v223(constB67, bitIndex0) | v223(constB67, bitIndex1) | (~v229(constB67))) <=> (v223(constB67, bitIndex1) | v223(constB67, bitIndex0) | (~v229(constB67)))),
% 48.77/31.85 inference(rewrite,[status(thm)],[])).
% 48.77/31.85 tff(10248,plain,
% 48.77/31.85 (((~![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))))),
% 48.77/31.85 inference(monotonicity,[status(thm)],[10247])).
% 48.77/31.85 tff(10249,plain,
% 48.77/31.85 (((~![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)))),
% 48.77/31.85 inference(transitivity,[status(thm)],[10248, 10246])).
% 48.77/31.85 tff(10250,plain,
% 48.77/31.85 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB67, bitIndex0) | v223(constB67, bitIndex1) | (~v229(constB67)))),
% 48.77/31.85 inference(quant_inst,[status(thm)],[])).
% 48.77/31.85 tff(10251,plain,
% 48.77/31.85 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB67, bitIndex1) | v223(constB67, bitIndex0) | (~v229(constB67))),
% 48.77/31.85 inference(modus_ponens,[status(thm)],[10250, 10249])).
% 48.77/31.85 tff(10252,plain,
% 48.77/31.85 (~v229(constB67)),
% 48.77/31.85 inference(unit_resolution,[status(thm)],[10251, 8915, 10245, 10230])).
% 48.77/31.85 tff(10253,plain,
% 48.77/31.85 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB67) | (~v225(constB67)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB67) | (~v225(constB67)))),
% 48.77/31.85 inference(rewrite,[status(thm)],[])).
% 48.77/31.85 tff(10254,plain,
% 48.77/31.85 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB67) | (~v225(constB67)))),
% 48.77/31.85 inference(quant_inst,[status(thm)],[])).
% 48.77/31.85 tff(10255,plain,
% 48.77/31.85 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB67) | (~v225(constB67))),
% 48.77/31.85 inference(modus_ponens,[status(thm)],[10254, 10253])).
% 48.77/31.85 tff(10256,plain,
% 48.77/31.85 (~v225(constB67)),
% 48.77/31.85 inference(unit_resolution,[status(thm)],[10255, 8929, 10252])).
% 48.77/31.85 tff(10257,plain,
% 48.77/31.85 (^[VarCurr: $i] : refl(((~v166(VarCurr)) | (~v200(VarCurr))) <=> ((~v166(VarCurr)) | (~v200(VarCurr))))),
% 48.77/31.85 inference(bind,[status(th)],[])).
% 48.77/31.85 tff(10258,plain,
% 48.77/31.85 (![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr))) <=> ![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))),
% 48.77/31.85 inference(quant_intro,[status(thm)],[10257])).
% 48.77/31.85 tff(10259,plain,
% 48.77/31.85 (![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr))) <=> ![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))),
% 48.77/31.85 inference(rewrite,[status(thm)],[])).
% 48.77/31.85 tff(10260,axiom,(![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_3_1_1_1')).
% 48.77/31.85 tff(10261,plain,
% 48.77/31.85 (![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))),
% 48.77/31.85 inference(modus_ponens,[status(thm)],[10260, 10259])).
% 48.77/31.85 tff(10262,plain,(
% 48.77/31.85 ![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))),
% 48.77/31.85 inference(skolemize,[status(sab)],[10261])).
% 48.77/31.85 tff(10263,plain,
% 48.77/31.85 (![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))),
% 48.77/31.85 inference(modus_ponens,[status(thm)],[10262, 10258])).
% 48.77/31.85 tff(10264,plain,
% 48.77/31.85 (((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB67)) | (~v200(constB67)))) <=> ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB67)) | (~v200(constB67)))),
% 48.77/31.85 inference(rewrite,[status(thm)],[])).
% 48.77/31.85 tff(10265,plain,
% 48.77/31.85 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB67)) | (~v200(constB67)))),
% 48.77/31.85 inference(quant_inst,[status(thm)],[])).
% 48.77/31.85 tff(10266,plain,
% 48.77/31.85 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB67)) | (~v200(constB67))),
% 48.77/31.85 inference(modus_ponens,[status(thm)],[10265, 10264])).
% 48.77/31.85 tff(10267,plain,
% 48.77/31.85 (~v166(constB67)),
% 48.77/31.85 inference(unit_resolution,[status(thm)],[10266, 10263, 10196])).
% 48.77/31.85 tff(10268,plain,
% 48.77/31.85 (^[VarNext: $i] : refl(((~v197(VarNext)) | v166(VarNext) | v241(VarNext)) <=> ((~v197(VarNext)) | v166(VarNext) | v241(VarNext)))),
% 48.77/31.85 inference(bind,[status(th)],[])).
% 48.77/31.85 tff(10269,plain,
% 48.77/31.85 (![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext)) <=> ![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))),
% 48.77/31.85 inference(quant_intro,[status(thm)],[10268])).
% 48.77/31.85 tff(10270,plain,
% 48.77/31.85 (![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext)) <=> ![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))),
% 48.77/31.85 inference(rewrite,[status(thm)],[])).
% 48.77/31.85 tff(10271,plain,
% 48.77/31.85 (^[VarNext: $i] : rewrite(((v166(VarNext) | v241(VarNext)) | (~v197(VarNext))) <=> ((~v197(VarNext)) | v166(VarNext) | v241(VarNext)))),
% 48.77/31.85 inference(bind,[status(th)],[])).
% 48.77/31.85 tff(10272,plain,
% 48.77/31.85 (![VarNext: $i] : ((v166(VarNext) | v241(VarNext)) | (~v197(VarNext))) <=> ![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))),
% 48.77/31.85 inference(quant_intro,[status(thm)],[10271])).
% 48.77/31.85 tff(10273,axiom,(![VarNext: $i] : ((v166(VarNext) | v241(VarNext)) | (~v197(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_5_1_2')).
% 48.77/31.85 tff(10274,plain,
% 48.77/31.85 (![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))),
% 48.77/31.85 inference(modus_ponens,[status(thm)],[10273, 10272])).
% 48.77/31.85 tff(10275,plain,
% 48.77/31.85 (![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))),
% 48.77/31.85 inference(modus_ponens,[status(thm)],[10274, 10270])).
% 48.77/31.85 tff(10276,plain,(
% 48.77/31.85 ![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))),
% 48.77/31.85 inference(skolemize,[status(sab)],[10275])).
% 48.77/31.85 tff(10277,plain,
% 48.77/31.85 (![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))),
% 48.77/31.85 inference(modus_ponens,[status(thm)],[10276, 10269])).
% 48.77/31.85 tff(10278,plain,
% 48.77/31.85 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB67) | v166(constB67) | (~v197(constB67)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB67) | v166(constB67) | (~v197(constB67)))),
% 48.77/31.85 inference(rewrite,[status(thm)],[])).
% 48.77/31.85 tff(10279,plain,
% 48.77/31.85 (((~v197(constB67)) | v166(constB67) | v241(constB67)) <=> (v241(constB67) | v166(constB67) | (~v197(constB67)))),
% 48.77/31.85 inference(rewrite,[status(thm)],[])).
% 48.77/31.85 tff(10280,plain,
% 48.77/31.85 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB67)) | v166(constB67) | v241(constB67))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB67) | v166(constB67) | (~v197(constB67))))),
% 48.77/31.85 inference(monotonicity,[status(thm)],[10279])).
% 48.77/31.85 tff(10281,plain,
% 48.77/31.85 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB67)) | v166(constB67) | v241(constB67))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB67) | v166(constB67) | (~v197(constB67)))),
% 48.77/31.85 inference(transitivity,[status(thm)],[10280, 10278])).
% 48.77/31.85 tff(10282,plain,
% 48.77/31.85 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB67)) | v166(constB67) | v241(constB67))),
% 48.77/31.85 inference(quant_inst,[status(thm)],[])).
% 48.77/31.85 tff(10283,plain,
% 48.77/31.85 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB67) | v166(constB67) | (~v197(constB67))),
% 48.77/31.85 inference(modus_ponens,[status(thm)],[10282, 10281])).
% 48.77/31.85 tff(10284,plain,
% 48.77/31.85 (v241(constB67) | (~v197(constB67))),
% 48.77/31.85 inference(unit_resolution,[status(thm)],[10283, 10277, 10267])).
% 48.77/31.85 tff(10285,plain,
% 48.77/31.85 (v241(constB67)),
% 48.77/31.85 inference(unit_resolution,[status(thm)],[10284, 10219])).
% 48.77/31.85 tff(10286,plain,
% 48.77/31.85 (^[VarCurr: $i] : refl(((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2))) <=> ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2))))),
% 48.77/31.85 inference(bind,[status(th)],[])).
% 48.77/31.85 tff(10287,plain,
% 48.77/31.85 (![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))),
% 48.77/31.85 inference(quant_intro,[status(thm)],[10286])).
% 48.77/31.85 tff(10288,plain,
% 48.77/31.85 (![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))),
% 48.77/31.85 inference(rewrite,[status(thm)],[])).
% 48.77/31.85 tff(10289,axiom,(![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_21_1_1')).
% 48.77/31.85 tff(10290,plain,
% 48.77/31.85 (![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))),
% 48.77/31.85 inference(modus_ponens,[status(thm)],[10289, 10288])).
% 48.77/31.85 tff(10291,plain,(
% 48.77/31.85 ![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))),
% 48.77/31.85 inference(skolemize,[status(sab)],[10290])).
% 48.77/31.85 tff(10292,plain,
% 48.77/31.85 (![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))),
% 48.77/31.85 inference(modus_ponens,[status(thm)],[10291, 10287])).
% 48.77/31.85 tff(10293,plain,
% 48.77/31.85 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB67)) | (~v223(constB67, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB67)) | (~v223(constB67, bitIndex2)))),
% 48.77/31.85 inference(rewrite,[status(thm)],[])).
% 48.77/31.85 tff(10294,plain,
% 48.77/31.85 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB67)) | (~v223(constB67, bitIndex2)))),
% 48.77/31.85 inference(quant_inst,[status(thm)],[])).
% 48.77/31.85 tff(10295,plain,
% 48.77/31.85 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB67)) | (~v223(constB67, bitIndex2))),
% 48.77/31.85 inference(modus_ponens,[status(thm)],[10294, 10293])).
% 48.77/31.85 tff(10296,plain,
% 48.77/31.85 (~v223(constB67, bitIndex2)),
% 48.77/31.85 inference(unit_resolution,[status(thm)],[10295, 10292, 10285])).
% 48.77/31.85 tff(10297,plain,
% 48.77/31.85 (^[VarCurr: $i] : refl((v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr))) <=> (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr))))),
% 48.77/31.85 inference(bind,[status(th)],[])).
% 48.77/31.85 tff(10298,plain,
% 48.77/31.85 (![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr))) <=> ![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))),
% 48.77/31.85 inference(quant_intro,[status(thm)],[10297])).
% 48.77/31.85 tff(10299,plain,
% 48.77/31.85 (![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr))) <=> ![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))),
% 48.77/31.85 inference(rewrite,[status(thm)],[])).
% 48.77/31.85 tff(10300,plain,
% 48.77/31.85 (^[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)))))),
% 48.77/31.85 inference(bind,[status(th)],[])).
% 48.77/31.85 tff(10301,plain,
% 48.77/31.85 (![VarCurr: $i] : ((v223(VarCurr, bitIndex2) | v225(VarCurr)) | (~v242(VarCurr))) <=> ![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))),
% 48.77/31.85 inference(quant_intro,[status(thm)],[10300])).
% 48.77/31.85 tff(10302,axiom,(![VarCurr: $i] : ((v223(VarCurr, bitIndex2) | v225(VarCurr)) | (~v242(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_64_1_3')).
% 48.77/31.85 tff(10303,plain,
% 48.77/31.85 (![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))),
% 48.77/31.85 inference(modus_ponens,[status(thm)],[10302, 10301])).
% 48.77/31.85 tff(10304,plain,
% 48.77/31.85 (![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))),
% 48.77/31.85 inference(modus_ponens,[status(thm)],[10303, 10299])).
% 48.77/31.85 tff(10305,plain,(
% 48.77/31.85 ![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))),
% 48.77/31.85 inference(skolemize,[status(sab)],[10304])).
% 48.77/31.85 tff(10306,plain,
% 48.77/31.85 (![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))),
% 48.77/31.85 inference(modus_ponens,[status(thm)],[10305, 10298])).
% 48.77/31.85 tff(10307,plain,
% 48.77/31.85 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB67) | v223(constB67, bitIndex2) | (~v242(constB67)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v225(constB67) | v223(constB67, bitIndex2) | (~v242(constB67)))),
% 48.77/31.85 inference(rewrite,[status(thm)],[])).
% 48.77/31.85 tff(10308,plain,
% 48.77/31.85 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB67) | v223(constB67, bitIndex2) | (~v242(constB67)))),
% 48.77/31.86 inference(quant_inst,[status(thm)],[])).
% 48.77/31.86 tff(10309,plain,
% 48.77/31.86 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v225(constB67) | v223(constB67, bitIndex2) | (~v242(constB67))),
% 48.77/31.86 inference(modus_ponens,[status(thm)],[10308, 10307])).
% 48.77/31.86 tff(10310,plain,
% 48.77/31.86 (v225(constB67) | (~v242(constB67))),
% 48.77/31.86 inference(unit_resolution,[status(thm)],[10309, 10306, 10296])).
% 48.77/31.86 tff(10311,plain,
% 48.77/31.86 (~v242(constB67)),
% 48.77/31.86 inference(unit_resolution,[status(thm)],[10310, 10256])).
% 48.77/31.86 tff(10312,plain,
% 48.77/31.86 (^[VarCurr: $i] : refl((v242(VarCurr) | (~v238(VarCurr))) <=> (v242(VarCurr) | (~v238(VarCurr))))),
% 48.77/31.86 inference(bind,[status(th)],[])).
% 48.77/31.86 tff(10313,plain,
% 48.77/31.86 (![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr))) <=> ![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))),
% 48.77/31.86 inference(quant_intro,[status(thm)],[10312])).
% 48.77/31.86 tff(10314,plain,
% 48.77/31.86 (![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr))) <=> ![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))),
% 48.77/31.86 inference(rewrite,[status(thm)],[])).
% 48.77/31.86 tff(10315,axiom,(![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_65_1_2')).
% 48.77/31.86 tff(10316,plain,
% 48.77/31.86 (![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))),
% 48.77/31.86 inference(modus_ponens,[status(thm)],[10315, 10314])).
% 48.77/31.86 tff(10317,plain,(
% 48.77/31.86 ![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))),
% 48.77/31.86 inference(skolemize,[status(sab)],[10316])).
% 48.77/31.86 tff(10318,plain,
% 48.77/31.86 (![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))),
% 48.77/31.86 inference(modus_ponens,[status(thm)],[10317, 10313])).
% 48.77/31.86 tff(10319,plain,
% 48.77/31.86 (((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB67) | (~v238(constB67)))) <=> ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB67) | (~v238(constB67)))),
% 48.77/31.86 inference(rewrite,[status(thm)],[])).
% 48.77/31.86 tff(10320,plain,
% 48.77/31.86 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB67) | (~v238(constB67)))),
% 48.77/31.86 inference(quant_inst,[status(thm)],[])).
% 48.77/31.86 tff(10321,plain,
% 48.77/31.86 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB67) | (~v238(constB67))),
% 48.77/31.86 inference(modus_ponens,[status(thm)],[10320, 10319])).
% 48.77/31.86 tff(10322,plain,
% 48.77/31.86 (~v238(constB67)),
% 48.77/31.86 inference(unit_resolution,[status(thm)],[10321, 10318, 10311])).
% 48.77/31.86 tff(10323,plain,
% 48.77/31.86 (^[VarCurr: $i] : refl((v238(VarCurr) | (~v237(VarCurr))) <=> (v238(VarCurr) | (~v237(VarCurr))))),
% 48.77/31.86 inference(bind,[status(th)],[])).
% 48.77/31.86 tff(10324,plain,
% 48.77/31.86 (![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr))) <=> ![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))),
% 48.77/31.86 inference(quant_intro,[status(thm)],[10323])).
% 48.77/31.86 tff(10325,plain,
% 48.77/31.86 (![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr))) <=> ![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))),
% 48.77/31.86 inference(rewrite,[status(thm)],[])).
% 48.77/31.86 tff(10326,axiom,(![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_66_1_3')).
% 48.77/31.86 tff(10327,plain,
% 48.77/31.86 (![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))),
% 48.77/31.86 inference(modus_ponens,[status(thm)],[10326, 10325])).
% 48.77/31.86 tff(10328,plain,(
% 48.77/31.86 ![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))),
% 48.77/31.86 inference(skolemize,[status(sab)],[10327])).
% 48.77/31.86 tff(10329,plain,
% 48.77/31.86 (![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))),
% 48.77/31.86 inference(modus_ponens,[status(thm)],[10328, 10324])).
% 48.77/31.86 tff(10330,plain,
% 48.77/31.86 (((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB67) | (~v237(constB67)))) <=> ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB67) | (~v237(constB67)))),
% 48.77/31.86 inference(rewrite,[status(thm)],[])).
% 48.77/31.86 tff(10331,plain,
% 48.77/31.86 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB67) | (~v237(constB67)))),
% 48.77/31.86 inference(quant_inst,[status(thm)],[])).
% 48.77/31.86 tff(10332,plain,
% 48.77/31.86 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB67) | (~v237(constB67))),
% 48.77/31.86 inference(modus_ponens,[status(thm)],[10331, 10330])).
% 48.77/31.86 tff(10333,plain,
% 48.77/31.86 (~v237(constB67)),
% 48.77/31.86 inference(unit_resolution,[status(thm)],[10332, 10329, 10322])).
% 48.77/31.86 tff(10334,plain,
% 48.77/31.86 (^[VarCurr: $i] : refl(((~v224(VarCurr)) | v223(VarCurr, bitIndex2)) <=> ((~v224(VarCurr)) | v223(VarCurr, bitIndex2)))),
% 48.77/31.86 inference(bind,[status(th)],[])).
% 48.77/31.86 tff(10335,plain,
% 48.77/31.86 (![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))),
% 48.77/31.86 inference(quant_intro,[status(thm)],[10334])).
% 48.77/31.86 tff(10336,plain,
% 48.77/31.86 (![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))),
% 48.77/31.86 inference(rewrite,[status(thm)],[])).
% 48.77/31.86 tff(10337,plain,
% 48.77/31.86 (^[VarCurr: $i] : rewrite((v223(VarCurr, bitIndex2) | (~v224(VarCurr))) <=> ((~v224(VarCurr)) | v223(VarCurr, bitIndex2)))),
% 48.77/31.86 inference(bind,[status(th)],[])).
% 48.77/31.86 tff(10338,plain,
% 48.77/31.86 (![VarCurr: $i] : (v223(VarCurr, bitIndex2) | (~v224(VarCurr))) <=> ![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))),
% 48.77/31.86 inference(quant_intro,[status(thm)],[10337])).
% 48.77/31.86 tff(10339,axiom,(![VarCurr: $i] : (v223(VarCurr, bitIndex2) | (~v224(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_58_1_2')).
% 48.77/31.86 tff(10340,plain,
% 48.77/31.86 (![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))),
% 48.77/31.86 inference(modus_ponens,[status(thm)],[10339, 10338])).
% 48.77/31.86 tff(10341,plain,
% 48.77/31.86 (![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))),
% 48.77/31.86 inference(modus_ponens,[status(thm)],[10340, 10336])).
% 48.77/31.86 tff(10342,plain,(
% 48.77/31.86 ![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))),
% 48.77/31.86 inference(skolemize,[status(sab)],[10341])).
% 48.77/31.86 tff(10343,plain,
% 48.77/31.86 (![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))),
% 48.77/31.86 inference(modus_ponens,[status(thm)],[10342, 10335])).
% 48.77/31.86 tff(10344,plain,
% 48.77/31.86 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB67)) | v223(constB67, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB67)) | v223(constB67, bitIndex2))),
% 48.77/31.86 inference(rewrite,[status(thm)],[])).
% 48.77/31.86 tff(10345,plain,
% 48.77/31.86 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB67)) | v223(constB67, bitIndex2))),
% 48.77/31.86 inference(quant_inst,[status(thm)],[])).
% 48.77/31.86 tff(10346,plain,
% 48.77/31.86 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB67)) | v223(constB67, bitIndex2)),
% 48.77/31.86 inference(modus_ponens,[status(thm)],[10345, 10344])).
% 48.77/31.86 tff(10347,plain,
% 48.77/31.86 (~v224(constB67)),
% 48.77/31.86 inference(unit_resolution,[status(thm)],[10346, 10343, 10296])).
% 48.77/31.86 tff(10348,plain,
% 48.77/31.86 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB67)) | v223(constB67, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB67)) | v223(constB67, bitIndex1))),
% 48.77/31.86 inference(rewrite,[status(thm)],[])).
% 48.77/31.86 tff(10349,plain,
% 48.77/31.86 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB67)) | v223(constB67, bitIndex1))),
% 48.77/31.86 inference(quant_inst,[status(thm)],[])).
% 48.77/31.86 tff(10350,plain,
% 48.77/31.86 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB67)) | v223(constB67, bitIndex1)),
% 48.77/31.86 inference(modus_ponens,[status(thm)],[10349, 10348])).
% 48.77/31.86 tff(10351,plain,
% 48.77/31.86 (~v222(constB67)),
% 48.77/31.86 inference(unit_resolution,[status(thm)],[10350, 8954, 10245])).
% 48.77/31.86 tff(10352,plain,
% 48.77/31.86 (((~![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)))),
% 48.77/31.86 inference(rewrite,[status(thm)],[])).
% 48.77/31.86 tff(10353,plain,
% 48.77/31.86 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB67) | v224(constB67) | (~v236(constB67)))),
% 48.77/31.86 inference(quant_inst,[status(thm)],[])).
% 48.77/31.86 tff(10354,plain,
% 48.77/31.86 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB67) | v224(constB67) | (~v236(constB67))),
% 48.77/31.86 inference(modus_ponens,[status(thm)],[10353, 10352])).
% 48.77/31.86 tff(10355,plain,
% 48.77/31.86 (~v236(constB67)),
% 48.77/31.86 inference(unit_resolution,[status(thm)],[10354, 8968, 10351, 10347])).
% 48.77/31.86 tff(10356,plain,
% 48.77/31.86 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB67) | (~v232(constB67)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB67) | (~v232(constB67)))),
% 48.77/31.86 inference(rewrite,[status(thm)],[])).
% 48.77/31.86 tff(10357,plain,
% 48.77/31.86 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB67) | (~v232(constB67)))),
% 48.77/31.86 inference(quant_inst,[status(thm)],[])).
% 48.77/31.86 tff(10358,plain,
% 48.77/31.86 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB67) | (~v232(constB67))),
% 48.77/31.86 inference(modus_ponens,[status(thm)],[10357, 10356])).
% 48.77/31.86 tff(10359,plain,
% 48.77/31.86 (~v232(constB67)),
% 48.77/31.86 inference(unit_resolution,[status(thm)],[10358, 8980, 10355])).
% 48.77/31.86 tff(10360,plain,
% 48.77/31.86 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB67) | v232(constB67) | (~v248(constB67)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB67) | v232(constB67) | (~v248(constB67)))),
% 48.77/31.86 inference(rewrite,[status(thm)],[])).
% 48.77/31.86 tff(10361,plain,
% 48.77/31.86 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB67) | v232(constB67) | (~v248(constB67)))),
% 48.77/31.86 inference(quant_inst,[status(thm)],[])).
% 48.77/31.86 tff(10362,plain,
% 48.77/31.86 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB67) | v232(constB67) | (~v248(constB67))),
% 48.77/31.86 inference(modus_ponens,[status(thm)],[10361, 10360])).
% 48.77/31.86 tff(10363,plain,
% 48.77/31.86 (v237(constB67) | (~v248(constB67))),
% 48.77/31.86 inference(unit_resolution,[status(thm)],[10362, 9076, 10359])).
% 48.77/31.86 tff(10364,plain,
% 48.77/31.86 (~v248(constB67)),
% 48.77/31.86 inference(unit_resolution,[status(thm)],[10363, 10333])).
% 48.77/31.86 tff(10365,plain,
% 48.77/31.86 ($false),
% 48.77/31.86 inference(unit_resolution,[status(thm)],[10364, 9087])).
% 48.77/31.86 tff(10366,plain,((~(constB67 = sK0_VarCurr)) | (~v248(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 48.77/31.86 tff(10367,plain,
% 48.77/31.86 (~(constB67 = sK0_VarCurr)),
% 48.77/31.86 inference(unit_resolution,[status(thm)],[10366, 4])).
% 48.77/31.86 tff(10368,assumption,(constB51 = sK0_VarCurr), introduced(assumption)).
% 48.77/31.86 tff(10369,plain,
% 48.77/31.86 (v248(constB51) <=> v248(sK0_VarCurr)),
% 48.77/31.86 inference(monotonicity,[status(thm)],[10368])).
% 48.77/31.86 tff(10370,plain,
% 48.77/31.86 (v248(sK0_VarCurr) <=> v248(constB51)),
% 48.77/31.86 inference(symmetry,[status(thm)],[10369])).
% 48.77/31.86 tff(10371,plain,
% 48.77/31.86 (v248(constB51)),
% 48.77/31.86 inference(modus_ponens,[status(thm)],[4, 10370])).
% 48.77/31.86 tff(10372,plain,
% 48.77/31.86 (((~![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)))),
% 48.77/31.86 inference(rewrite,[status(thm)],[])).
% 48.77/31.86 tff(10373,plain,
% 48.77/31.86 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB51, bitIndex2) | (~v88(constB51, bitIndex2)))),
% 48.77/31.86 inference(quant_inst,[status(thm)],[])).
% 48.77/31.86 tff(10374,plain,
% 48.77/31.86 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB51, bitIndex2) | (~v88(constB51, bitIndex2))),
% 48.77/31.86 inference(modus_ponens,[status(thm)],[10373, 10372])).
% 48.77/31.86 tff(10375,plain,
% 48.77/31.86 (~v88(constB51, bitIndex2)),
% 48.77/31.86 inference(unit_resolution,[status(thm)],[10374, 8769, 7692])).
% 48.77/31.86 tff(10376,plain,
% 48.77/31.86 (((~![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))),
% 48.77/31.86 inference(rewrite,[status(thm)],[])).
% 48.77/31.86 tff(10377,plain,
% 48.77/31.86 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB51, bitIndex1)) | v88(constB51, bitIndex1))),
% 48.77/31.86 inference(quant_inst,[status(thm)],[])).
% 48.77/31.86 tff(10378,plain,
% 48.77/31.86 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB51, bitIndex1)) | v88(constB51, bitIndex1)),
% 48.77/31.86 inference(modus_ponens,[status(thm)],[10377, 10376])).
% 48.77/31.86 tff(10379,plain,
% 48.77/31.86 (v88(constB51, bitIndex1)),
% 48.77/31.86 inference(unit_resolution,[status(thm)],[10378, 8707, 7723])).
% 48.77/31.86 tff(10380,plain,
% 48.77/31.86 (((~![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))),
% 48.77/31.86 inference(rewrite,[status(thm)],[])).
% 48.77/31.86 tff(10381,plain,
% 48.77/31.86 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB51, bitIndex0)) | v88(constB51, bitIndex0))),
% 48.77/31.86 inference(quant_inst,[status(thm)],[])).
% 48.77/31.86 tff(10382,plain,
% 48.77/31.86 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB51, bitIndex0)) | v88(constB51, bitIndex0)),
% 48.77/31.86 inference(modus_ponens,[status(thm)],[10381, 10380])).
% 48.77/31.86 tff(10383,plain,
% 48.77/31.86 (v88(constB51, bitIndex0)),
% 48.77/31.86 inference(unit_resolution,[status(thm)],[10382, 8662, 7754])).
% 48.77/31.86 tff(10384,plain,
% 48.77/31.86 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB51, bitIndex2) | (~v88(constB51, bitIndex1)) | (~v88(constB51, bitIndex0)) | v141(constB51))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB51, bitIndex2) | (~v88(constB51, bitIndex1)) | (~v88(constB51, bitIndex0)) | v141(constB51))),
% 48.77/31.86 inference(rewrite,[status(thm)],[])).
% 48.77/31.86 tff(10385,plain,
% 48.77/31.86 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB51, bitIndex2) | (~v88(constB51, bitIndex1)) | (~v88(constB51, bitIndex0)) | v141(constB51))),
% 48.77/31.86 inference(quant_inst,[status(thm)],[])).
% 48.77/31.86 tff(10386,plain,
% 48.77/31.86 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB51, bitIndex2) | (~v88(constB51, bitIndex1)) | (~v88(constB51, bitIndex0)) | v141(constB51)),
% 48.77/31.86 inference(modus_ponens,[status(thm)],[10385, 10384])).
% 48.77/31.86 tff(10387,plain,
% 48.77/31.86 (v141(constB51)),
% 48.77/31.86 inference(unit_resolution,[status(thm)],[10386, 8783, 10383, 10379, 10375])).
% 48.77/31.86 tff(10388,plain,
% 48.77/31.86 (((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB51) | (~v141(constB51)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB51) | (~v141(constB51)))),
% 48.77/31.86 inference(rewrite,[status(thm)],[])).
% 48.77/31.86 tff(10389,plain,
% 48.77/31.86 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB51) | (~v141(constB51)))),
% 48.77/31.86 inference(quant_inst,[status(thm)],[])).
% 48.77/31.86 tff(10390,plain,
% 48.77/31.86 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB51) | (~v141(constB51))),
% 48.77/31.86 inference(modus_ponens,[status(thm)],[10389, 10388])).
% 48.77/31.86 tff(10391,plain,
% 48.77/31.86 (v199(constB51)),
% 48.77/31.86 inference(unit_resolution,[status(thm)],[10390, 8798, 10387])).
% 48.77/31.86 tff(10392,plain,
% 48.77/31.86 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB51) | (~v199(constB51)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB51) | (~v199(constB51)))),
% 48.77/31.86 inference(rewrite,[status(thm)],[])).
% 48.77/31.86 tff(10393,plain,
% 48.77/31.86 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB51) | (~v199(constB51)))),
% 48.77/31.86 inference(quant_inst,[status(thm)],[])).
% 48.77/31.86 tff(10394,plain,
% 48.77/31.86 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB51) | (~v199(constB51))),
% 48.77/31.86 inference(modus_ponens,[status(thm)],[10393, 10392])).
% 48.77/31.86 tff(10395,plain,
% 48.77/31.86 (v198(constB51)),
% 48.77/31.86 inference(unit_resolution,[status(thm)],[10394, 8809, 10391])).
% 48.77/31.86 tff(10396,plain,
% 48.77/31.86 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB51)) | (~v201(constB51)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB51)) | (~v201(constB51)))),
% 48.77/31.86 inference(rewrite,[status(thm)],[])).
% 48.77/31.86 tff(10397,plain,
% 48.77/31.86 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB51)) | (~v201(constB51)))),
% 48.77/31.86 inference(quant_inst,[status(thm)],[])).
% 48.77/31.86 tff(10398,plain,
% 48.77/31.86 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB51)) | (~v201(constB51))),
% 48.77/31.86 inference(modus_ponens,[status(thm)],[10397, 10396])).
% 48.77/31.86 tff(10399,plain,
% 48.77/31.86 (~v201(constB51)),
% 48.77/31.86 inference(unit_resolution,[status(thm)],[10398, 8823, 10395])).
% 48.77/31.86 tff(10400,plain,
% 48.77/31.86 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB51) | (~v198(constB51)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB51) | (~v198(constB51)))),
% 48.77/31.86 inference(rewrite,[status(thm)],[])).
% 48.77/31.86 tff(10401,plain,
% 48.77/31.86 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB51) | (~v198(constB51)))),
% 48.77/31.86 inference(quant_inst,[status(thm)],[])).
% 48.77/31.86 tff(10402,plain,
% 48.77/31.86 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB51) | (~v198(constB51))),
% 48.77/31.86 inference(modus_ponens,[status(thm)],[10401, 10400])).
% 48.77/31.86 tff(10403,plain,
% 48.77/31.86 (v197(constB51)),
% 48.77/31.86 inference(unit_resolution,[status(thm)],[10402, 8834, 10395])).
% 48.77/31.86 tff(10404,plain,
% 48.77/31.86 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB51) | (~v197(constB51)) | v201(constB51))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB51) | (~v197(constB51)) | v201(constB51))),
% 48.77/31.86 inference(rewrite,[status(thm)],[])).
% 48.77/31.86 tff(10405,plain,
% 48.77/31.86 (((~v197(constB51)) | v201(constB51) | v227(constB51)) <=> (v227(constB51) | (~v197(constB51)) | v201(constB51))),
% 48.77/31.86 inference(rewrite,[status(thm)],[])).
% 48.77/31.86 tff(10406,plain,
% 48.77/31.86 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB51)) | v201(constB51) | v227(constB51))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB51) | (~v197(constB51)) | v201(constB51)))),
% 48.77/31.86 inference(monotonicity,[status(thm)],[10405])).
% 48.77/31.86 tff(10407,plain,
% 48.77/31.86 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB51)) | v201(constB51) | v227(constB51))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB51) | (~v197(constB51)) | v201(constB51))),
% 48.77/31.86 inference(transitivity,[status(thm)],[10406, 10404])).
% 48.77/31.86 tff(10408,plain,
% 48.77/31.86 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB51)) | v201(constB51) | v227(constB51))),
% 48.77/31.86 inference(quant_inst,[status(thm)],[])).
% 48.77/31.86 tff(10409,plain,
% 48.77/31.86 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB51) | (~v197(constB51)) | v201(constB51)),
% 48.77/31.86 inference(modus_ponens,[status(thm)],[10408, 10407])).
% 48.77/31.86 tff(10410,plain,
% 48.77/31.86 (v227(constB51)),
% 48.77/31.86 inference(unit_resolution,[status(thm)],[10409, 8848, 10403, 10399])).
% 48.77/31.86 tff(10411,plain,
% 48.77/31.86 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB51)) | (~v223(constB51, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB51)) | (~v223(constB51, bitIndex0)))),
% 48.77/31.86 inference(rewrite,[status(thm)],[])).
% 48.77/31.86 tff(10412,plain,
% 48.77/31.86 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB51)) | (~v223(constB51, bitIndex0)))),
% 48.77/31.86 inference(quant_inst,[status(thm)],[])).
% 48.77/31.86 tff(10413,plain,
% 48.77/31.86 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB51)) | (~v223(constB51, bitIndex0))),
% 48.77/31.86 inference(modus_ponens,[status(thm)],[10412, 10411])).
% 48.77/31.86 tff(10414,plain,
% 48.77/31.86 (~v223(constB51, bitIndex0)),
% 48.77/31.86 inference(unit_resolution,[status(thm)],[10413, 8862, 10410])).
% 48.77/31.86 tff(10415,plain,
% 48.77/31.86 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB51)) | (~v199(constB51)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB51)) | (~v199(constB51)))),
% 48.77/31.86 inference(rewrite,[status(thm)],[])).
% 48.77/31.86 tff(10416,plain,
% 48.77/31.86 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB51)) | (~v199(constB51)))),
% 48.77/31.86 inference(quant_inst,[status(thm)],[])).
% 48.77/31.86 tff(10417,plain,
% 48.77/31.86 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB51)) | (~v199(constB51))),
% 48.77/31.86 inference(modus_ponens,[status(thm)],[10416, 10415])).
% 48.77/31.86 tff(10418,plain,
% 48.77/31.86 (~v183(constB51)),
% 48.77/31.86 inference(unit_resolution,[status(thm)],[10417, 8873, 10391])).
% 48.77/31.86 tff(10419,plain,
% 48.77/31.86 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB51) | (~v197(constB51)) | v183(constB51))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB51) | (~v197(constB51)) | v183(constB51))),
% 48.77/31.86 inference(rewrite,[status(thm)],[])).
% 48.77/31.86 tff(10420,plain,
% 48.77/31.86 (((~v197(constB51)) | v183(constB51) | v228(constB51)) <=> (v228(constB51) | (~v197(constB51)) | v183(constB51))),
% 48.77/31.86 inference(rewrite,[status(thm)],[])).
% 48.77/31.86 tff(10421,plain,
% 48.77/31.86 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB51)) | v183(constB51) | v228(constB51))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB51) | (~v197(constB51)) | v183(constB51)))),
% 48.77/31.86 inference(monotonicity,[status(thm)],[10420])).
% 48.77/31.86 tff(10422,plain,
% 48.77/31.86 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB51)) | v183(constB51) | v228(constB51))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB51) | (~v197(constB51)) | v183(constB51))),
% 48.77/31.86 inference(transitivity,[status(thm)],[10421, 10419])).
% 48.77/31.86 tff(10423,plain,
% 48.77/31.86 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB51)) | v183(constB51) | v228(constB51))),
% 48.77/31.86 inference(quant_inst,[status(thm)],[])).
% 48.77/31.86 tff(10424,plain,
% 48.77/31.86 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB51) | (~v197(constB51)) | v183(constB51)),
% 48.77/31.86 inference(modus_ponens,[status(thm)],[10423, 10422])).
% 48.77/31.86 tff(10425,plain,
% 48.77/31.86 (v228(constB51)),
% 48.77/31.86 inference(unit_resolution,[status(thm)],[10424, 8887, 10403, 10418])).
% 48.77/31.86 tff(10426,plain,
% 48.77/31.86 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB51)) | (~v223(constB51, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB51)) | (~v223(constB51, bitIndex1)))),
% 48.77/31.86 inference(rewrite,[status(thm)],[])).
% 48.77/31.86 tff(10427,plain,
% 48.77/31.86 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB51)) | (~v223(constB51, bitIndex1)))),
% 48.77/31.86 inference(quant_inst,[status(thm)],[])).
% 48.77/31.86 tff(10428,plain,
% 48.77/31.86 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB51)) | (~v223(constB51, bitIndex1))),
% 48.77/31.86 inference(modus_ponens,[status(thm)],[10427, 10426])).
% 48.77/31.86 tff(10429,plain,
% 48.77/31.86 (~v223(constB51, bitIndex1)),
% 48.77/31.86 inference(unit_resolution,[status(thm)],[10428, 8901, 10425])).
% 48.77/31.86 tff(10430,plain,
% 48.77/31.86 (((~![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)))),
% 48.77/31.86 inference(rewrite,[status(thm)],[])).
% 48.77/31.86 tff(10431,plain,
% 48.77/31.86 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB51, bitIndex0) | v223(constB51, bitIndex1) | (~v229(constB51)))),
% 48.77/31.86 inference(quant_inst,[status(thm)],[])).
% 48.77/31.86 tff(10432,plain,
% 48.77/31.86 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB51, bitIndex0) | v223(constB51, bitIndex1) | (~v229(constB51))),
% 48.77/31.86 inference(modus_ponens,[status(thm)],[10431, 10430])).
% 48.77/31.86 tff(10433,plain,
% 48.77/31.86 (~v229(constB51)),
% 48.77/31.86 inference(unit_resolution,[status(thm)],[10432, 8915, 10429, 10414])).
% 48.77/31.86 tff(10434,plain,
% 48.77/31.86 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB51) | (~v225(constB51)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB51) | (~v225(constB51)))),
% 48.77/31.86 inference(rewrite,[status(thm)],[])).
% 48.77/31.86 tff(10435,plain,
% 48.77/31.86 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB51) | (~v225(constB51)))),
% 48.77/31.86 inference(quant_inst,[status(thm)],[])).
% 48.77/31.86 tff(10436,plain,
% 48.77/31.86 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB51) | (~v225(constB51))),
% 48.77/31.86 inference(modus_ponens,[status(thm)],[10435, 10434])).
% 48.77/31.86 tff(10437,plain,
% 48.77/31.86 (~v225(constB51)),
% 48.77/31.86 inference(unit_resolution,[status(thm)],[10436, 8929, 10433])).
% 48.77/31.86 tff(10438,plain,
% 48.77/31.86 (((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB51) | (~v224(constB51)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB51) | (~v224(constB51)))),
% 48.77/31.86 inference(rewrite,[status(thm)],[])).
% 48.77/31.86 tff(10439,plain,
% 48.77/31.86 ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB51) | (~v224(constB51)))),
% 48.77/31.86 inference(quant_inst,[status(thm)],[])).
% 48.77/31.86 tff(10440,plain,
% 48.77/31.86 ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB51) | (~v224(constB51))),
% 48.77/31.86 inference(modus_ponens,[status(thm)],[10439, 10438])).
% 48.77/31.86 tff(10441,plain,
% 48.77/31.86 (~v224(constB51)),
% 48.77/31.86 inference(unit_resolution,[status(thm)],[10440, 8940, 10437])).
% 48.77/31.86 tff(10442,plain,
% 48.77/31.86 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB51)) | v223(constB51, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB51)) | v223(constB51, bitIndex1))),
% 48.77/31.86 inference(rewrite,[status(thm)],[])).
% 48.77/31.86 tff(10443,plain,
% 48.77/31.86 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB51)) | v223(constB51, bitIndex1))),
% 48.77/31.86 inference(quant_inst,[status(thm)],[])).
% 48.77/31.86 tff(10444,plain,
% 48.77/31.86 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB51)) | v223(constB51, bitIndex1)),
% 48.77/31.86 inference(modus_ponens,[status(thm)],[10443, 10442])).
% 48.77/31.86 tff(10445,plain,
% 48.77/31.86 (~v222(constB51)),
% 48.77/31.86 inference(unit_resolution,[status(thm)],[10444, 8954, 10429])).
% 48.77/31.86 tff(10446,plain,
% 48.77/31.86 (((~![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)))),
% 48.77/31.86 inference(rewrite,[status(thm)],[])).
% 48.77/31.86 tff(10447,plain,
% 48.77/31.86 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB51) | v224(constB51) | (~v236(constB51)))),
% 48.77/31.86 inference(quant_inst,[status(thm)],[])).
% 48.77/31.86 tff(10448,plain,
% 48.77/31.86 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB51) | v224(constB51) | (~v236(constB51))),
% 48.77/31.86 inference(modus_ponens,[status(thm)],[10447, 10446])).
% 48.77/31.86 tff(10449,plain,
% 48.77/31.86 (v224(constB51) | (~v236(constB51))),
% 48.77/31.86 inference(unit_resolution,[status(thm)],[10448, 8968, 10445])).
% 48.77/31.86 tff(10450,plain,
% 48.77/31.86 (~v236(constB51)),
% 48.77/31.86 inference(unit_resolution,[status(thm)],[10449, 10441])).
% 48.77/31.86 tff(10451,plain,
% 48.77/31.86 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB51) | (~v232(constB51)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB51) | (~v232(constB51)))),
% 48.77/31.86 inference(rewrite,[status(thm)],[])).
% 48.77/31.86 tff(10452,plain,
% 48.77/31.86 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB51) | (~v232(constB51)))),
% 48.77/31.86 inference(quant_inst,[status(thm)],[])).
% 48.77/31.86 tff(10453,plain,
% 48.77/31.86 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB51) | (~v232(constB51))),
% 48.77/31.86 inference(modus_ponens,[status(thm)],[10452, 10451])).
% 48.77/31.86 tff(10454,plain,
% 48.77/31.86 (~v232(constB51)),
% 48.77/31.86 inference(unit_resolution,[status(thm)],[10453, 8980, 10450])).
% 48.77/31.86 tff(10455,plain,
% 48.77/31.86 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB51, bitIndex1)) | (~v140(constB51)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB51, bitIndex1)) | (~v140(constB51)))),
% 48.77/31.86 inference(rewrite,[status(thm)],[])).
% 48.77/31.86 tff(10456,plain,
% 48.77/31.86 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB51, bitIndex1)) | (~v140(constB51)))),
% 48.77/31.86 inference(quant_inst,[status(thm)],[])).
% 48.77/31.86 tff(10457,plain,
% 48.77/31.86 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB51, bitIndex1)) | (~v140(constB51))),
% 48.77/31.86 inference(modus_ponens,[status(thm)],[10456, 10455])).
% 48.77/31.86 tff(10458,plain,
% 48.77/31.86 (~v140(constB51)),
% 48.77/31.86 inference(unit_resolution,[status(thm)],[10457, 9002, 10379])).
% 48.77/31.86 tff(10459,plain,
% 48.77/31.86 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB51, bitIndex0)) | (~v139(constB51)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB51, bitIndex0)) | (~v139(constB51)))),
% 48.77/31.86 inference(rewrite,[status(thm)],[])).
% 48.77/31.86 tff(10460,plain,
% 48.77/31.86 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB51, bitIndex0)) | (~v139(constB51)))),
% 48.77/31.86 inference(quant_inst,[status(thm)],[])).
% 48.77/31.86 tff(10461,plain,
% 48.77/31.86 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB51, bitIndex0)) | (~v139(constB51))),
% 48.77/31.86 inference(modus_ponens,[status(thm)],[10460, 10459])).
% 48.77/31.86 tff(10462,plain,
% 48.77/31.86 (~v139(constB51)),
% 48.77/31.86 inference(unit_resolution,[status(thm)],[10461, 8991, 10383])).
% 48.77/31.86 tff(10463,plain,
% 48.77/31.86 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB51) | v139(constB51) | (~v148(constB51)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB51) | v139(constB51) | (~v148(constB51)))),
% 48.77/31.86 inference(rewrite,[status(thm)],[])).
% 48.77/31.86 tff(10464,plain,
% 48.77/31.86 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB51) | v139(constB51) | (~v148(constB51)))),
% 48.77/31.86 inference(quant_inst,[status(thm)],[])).
% 48.77/31.86 tff(10465,plain,
% 48.77/31.86 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB51) | v139(constB51) | (~v148(constB51))),
% 48.77/31.86 inference(modus_ponens,[status(thm)],[10464, 10463])).
% 48.77/31.86 tff(10466,plain,
% 48.77/31.86 (~v148(constB51)),
% 48.77/31.86 inference(unit_resolution,[status(thm)],[10465, 9016, 10462, 10458])).
% 48.77/31.86 tff(10467,plain,
% 48.77/31.86 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB51) | (~v197(constB51)) | v148(constB51))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB51) | (~v197(constB51)) | v148(constB51))),
% 48.77/31.86 inference(rewrite,[status(thm)],[])).
% 48.77/31.86 tff(10468,plain,
% 48.77/31.86 ((v148(constB51) | (~v197(constB51)) | v252(constB51)) <=> (v252(constB51) | (~v197(constB51)) | v148(constB51))),
% 48.77/31.86 inference(rewrite,[status(thm)],[])).
% 48.77/31.86 tff(10469,plain,
% 48.77/31.86 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB51) | (~v197(constB51)) | v252(constB51))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB51) | (~v197(constB51)) | v148(constB51)))),
% 48.77/31.86 inference(monotonicity,[status(thm)],[10468])).
% 48.77/31.86 tff(10470,plain,
% 48.77/31.86 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB51) | (~v197(constB51)) | v252(constB51))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB51) | (~v197(constB51)) | v148(constB51))),
% 48.77/31.86 inference(transitivity,[status(thm)],[10469, 10467])).
% 48.77/31.86 tff(10471,plain,
% 48.77/31.86 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB51) | (~v197(constB51)) | v252(constB51))),
% 48.77/31.86 inference(quant_inst,[status(thm)],[])).
% 48.77/31.86 tff(10472,plain,
% 48.77/31.86 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB51) | (~v197(constB51)) | v148(constB51)),
% 48.77/31.86 inference(modus_ponens,[status(thm)],[10471, 10470])).
% 48.77/31.86 tff(10473,plain,
% 48.77/31.86 (v252(constB51) | (~v197(constB51))),
% 48.77/31.86 inference(unit_resolution,[status(thm)],[10472, 9033, 10466])).
% 48.77/31.86 tff(10474,plain,
% 48.77/31.86 (v252(constB51)),
% 48.77/31.86 inference(unit_resolution,[status(thm)],[10473, 10403])).
% 48.77/31.86 tff(10475,plain,
% 48.77/31.86 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB51)) | (~v223(constB51, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB51)) | (~v223(constB51, bitIndex3)))),
% 48.77/31.86 inference(rewrite,[status(thm)],[])).
% 48.77/31.86 tff(10476,plain,
% 48.77/31.86 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB51)) | (~v223(constB51, bitIndex3)))),
% 48.77/31.86 inference(quant_inst,[status(thm)],[])).
% 48.77/31.86 tff(10477,plain,
% 48.77/31.86 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB51)) | (~v223(constB51, bitIndex3))),
% 48.77/31.86 inference(modus_ponens,[status(thm)],[10476, 10475])).
% 48.77/31.86 tff(10478,plain,
% 48.77/31.86 (~v223(constB51, bitIndex3)),
% 48.77/31.86 inference(unit_resolution,[status(thm)],[10477, 9048, 10474])).
% 48.77/31.86 tff(10479,plain,
% 48.77/31.86 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB51)) | v223(constB51, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB51)) | v223(constB51, bitIndex3))),
% 48.77/31.86 inference(rewrite,[status(thm)],[])).
% 48.77/31.86 tff(10480,plain,
% 48.77/31.86 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB51)) | v223(constB51, bitIndex3))),
% 48.77/31.86 inference(quant_inst,[status(thm)],[])).
% 48.77/31.86 tff(10481,plain,
% 48.77/31.86 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB51)) | v223(constB51, bitIndex3)),
% 48.77/31.86 inference(modus_ponens,[status(thm)],[10480, 10479])).
% 48.77/31.86 tff(10482,plain,
% 48.77/31.86 (~v237(constB51)),
% 48.77/31.86 inference(unit_resolution,[status(thm)],[10481, 9062, 10478])).
% 48.77/31.86 tff(10483,plain,
% 48.77/31.86 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB51) | v232(constB51) | (~v248(constB51)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB51) | v232(constB51) | (~v248(constB51)))),
% 48.77/31.86 inference(rewrite,[status(thm)],[])).
% 48.77/31.86 tff(10484,plain,
% 48.77/31.86 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB51) | v232(constB51) | (~v248(constB51)))),
% 48.77/31.86 inference(quant_inst,[status(thm)],[])).
% 48.77/31.86 tff(10485,plain,
% 48.77/31.86 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB51) | v232(constB51) | (~v248(constB51))),
% 48.77/31.86 inference(modus_ponens,[status(thm)],[10484, 10483])).
% 48.77/31.86 tff(10486,plain,
% 48.77/31.86 (v232(constB51) | (~v248(constB51))),
% 48.77/31.86 inference(unit_resolution,[status(thm)],[10485, 9076, 10482])).
% 48.77/31.86 tff(10487,plain,
% 48.77/31.86 (~v248(constB51)),
% 48.77/31.86 inference(unit_resolution,[status(thm)],[10486, 10454])).
% 48.77/31.86 tff(10488,plain,
% 48.77/31.86 ($false),
% 48.77/31.86 inference(unit_resolution,[status(thm)],[10487, 10371])).
% 48.77/31.86 tff(10489,plain,((~(constB51 = sK0_VarCurr)) | (~v248(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 48.77/31.86 tff(10490,plain,
% 48.77/31.86 (~(constB51 = sK0_VarCurr)),
% 48.77/31.86 inference(unit_resolution,[status(thm)],[10489, 4])).
% 48.77/31.86 tff(10491,assumption,(constB59 = sK0_VarCurr), introduced(assumption)).
% 48.77/31.86 tff(10492,plain,
% 48.77/31.86 (v248(constB59) <=> v248(sK0_VarCurr)),
% 48.77/31.86 inference(monotonicity,[status(thm)],[10491])).
% 48.77/31.86 tff(10493,plain,
% 48.77/31.86 (v248(sK0_VarCurr) <=> v248(constB59)),
% 48.77/31.86 inference(symmetry,[status(thm)],[10492])).
% 48.77/31.86 tff(10494,plain,
% 48.77/31.86 (v248(constB59)),
% 48.77/31.86 inference(modus_ponens,[status(thm)],[4, 10493])).
% 48.77/31.86 tff(10495,plain,
% 48.77/31.86 (((~![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)))),
% 48.77/31.86 inference(rewrite,[status(thm)],[])).
% 48.77/31.86 tff(10496,plain,
% 48.77/31.86 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB59, bitIndex2) | (~v88(constB59, bitIndex2)))),
% 48.77/31.86 inference(quant_inst,[status(thm)],[])).
% 48.77/31.86 tff(10497,plain,
% 48.77/31.86 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB59, bitIndex2) | (~v88(constB59, bitIndex2))),
% 48.77/31.86 inference(modus_ponens,[status(thm)],[10496, 10495])).
% 48.77/31.86 tff(10498,plain,
% 48.77/31.86 (~v88(constB59, bitIndex2)),
% 48.77/31.86 inference(unit_resolution,[status(thm)],[10497, 8769, 8468])).
% 48.77/31.86 tff(10499,plain,
% 48.77/31.86 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0))) <=> (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0))))),
% 48.77/31.86 inference(bind,[status(th)],[])).
% 48.77/31.86 tff(10500,plain,
% 48.77/31.86 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))),
% 48.77/31.86 inference(quant_intro,[status(thm)],[10499])).
% 48.77/31.86 tff(10501,plain,
% 48.77/31.86 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))),
% 48.77/31.86 inference(rewrite,[status(thm)],[])).
% 48.77/31.86 tff(10502,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_8_1_2')).
% 48.77/31.86 tff(10503,plain,
% 48.77/31.86 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))),
% 48.77/31.86 inference(modus_ponens,[status(thm)],[10502, 10501])).
% 48.77/31.86 tff(10504,plain,(
% 48.77/31.86 ![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))),
% 48.77/31.86 inference(skolemize,[status(sab)],[10503])).
% 48.77/31.86 tff(10505,plain,
% 48.77/31.86 (![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))),
% 48.77/31.86 inference(modus_ponens,[status(thm)],[10504, 10500])).
% 48.77/31.86 tff(10506,plain,
% 48.77/31.86 (((~![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)))),
% 48.77/31.86 inference(rewrite,[status(thm)],[])).
% 48.77/31.86 tff(10507,plain,
% 48.77/31.86 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB59, bitIndex0) | (~v88(constB59, bitIndex0)))),
% 48.77/31.86 inference(quant_inst,[status(thm)],[])).
% 48.77/31.86 tff(10508,plain,
% 48.77/31.86 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB59, bitIndex0) | (~v88(constB59, bitIndex0))),
% 48.77/31.86 inference(modus_ponens,[status(thm)],[10507, 10506])).
% 48.77/31.86 tff(10509,plain,
% 48.77/31.86 (~v88(constB59, bitIndex0)),
% 48.77/31.86 inference(unit_resolution,[status(thm)],[10508, 10505, 8533])).
% 48.77/31.86 tff(10510,plain,
% 48.77/31.86 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB59, bitIndex1)) | v88(constB59, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB59, bitIndex1)) | v88(constB59, bitIndex1))),
% 48.77/31.87 inference(rewrite,[status(thm)],[])).
% 48.77/31.87 tff(10511,plain,
% 48.77/31.87 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB59, bitIndex1)) | v88(constB59, bitIndex1))),
% 48.77/31.87 inference(quant_inst,[status(thm)],[])).
% 48.77/31.87 tff(10512,plain,
% 48.77/31.87 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB59, bitIndex1)) | v88(constB59, bitIndex1)),
% 48.77/31.87 inference(modus_ponens,[status(thm)],[10511, 10510])).
% 48.77/31.87 tff(10513,plain,
% 48.77/31.87 (v88(constB59, bitIndex1)),
% 48.77/31.87 inference(unit_resolution,[status(thm)],[10512, 8707, 8499])).
% 48.77/31.87 tff(10514,plain,
% 48.77/31.87 (^[VarCurr: $i] : refl((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr)) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr)))),
% 48.77/31.87 inference(bind,[status(th)],[])).
% 48.77/31.87 tff(10515,plain,
% 48.77/31.87 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr)) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))),
% 48.77/31.87 inference(quant_intro,[status(thm)],[10514])).
% 48.77/31.87 tff(10516,plain,
% 48.77/31.87 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr)) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))),
% 48.77/31.87 inference(rewrite,[status(thm)],[])).
% 48.77/31.87 tff(10517,plain,
% 48.77/31.87 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v143(VarCurr) | (~v88(VarCurr, bitIndex1))) | v88(VarCurr, bitIndex2)) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v143(VarCurr))), ((((v143(VarCurr) | (~v88(VarCurr, bitIndex1))) | v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex0)) <=> ((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v143(VarCurr)) | v88(VarCurr, bitIndex0)))), rewrite(((v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v143(VarCurr)) | v88(VarCurr, bitIndex0)) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))), ((((v143(VarCurr) | (~v88(VarCurr, bitIndex1))) | v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex0)) <=> (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))))),
% 48.77/31.87 inference(bind,[status(th)],[])).
% 48.77/31.87 tff(10518,plain,
% 48.77/31.87 (![VarCurr: $i] : (((v143(VarCurr) | (~v88(VarCurr, bitIndex1))) | v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))),
% 48.77/31.87 inference(quant_intro,[status(thm)],[10517])).
% 48.77/31.87 tff(10519,axiom,(![VarCurr: $i] : (((v143(VarCurr) | (~v88(VarCurr, bitIndex1))) | v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_12_1_1_1')).
% 48.77/31.87 tff(10520,plain,
% 48.77/31.87 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))),
% 48.77/31.87 inference(modus_ponens,[status(thm)],[10519, 10518])).
% 48.77/31.87 tff(10521,plain,
% 48.77/31.87 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))),
% 48.77/31.87 inference(modus_ponens,[status(thm)],[10520, 10516])).
% 48.77/31.87 tff(10522,plain,(
% 48.77/31.87 ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))),
% 48.77/31.87 inference(skolemize,[status(sab)],[10521])).
% 48.77/31.87 tff(10523,plain,
% 48.77/31.87 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))),
% 48.77/31.87 inference(modus_ponens,[status(thm)],[10522, 10515])).
% 48.77/31.87 tff(10524,plain,
% 48.77/31.87 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB59, bitIndex0) | v88(constB59, bitIndex2) | (~v88(constB59, bitIndex1)) | v143(constB59))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB59, bitIndex0) | v88(constB59, bitIndex2) | (~v88(constB59, bitIndex1)) | v143(constB59))),
% 48.77/31.87 inference(rewrite,[status(thm)],[])).
% 48.77/31.87 tff(10525,plain,
% 48.77/31.87 ((v88(constB59, bitIndex2) | (~v88(constB59, bitIndex1)) | v88(constB59, bitIndex0) | v143(constB59)) <=> (v88(constB59, bitIndex0) | v88(constB59, bitIndex2) | (~v88(constB59, bitIndex1)) | v143(constB59))),
% 48.77/31.87 inference(rewrite,[status(thm)],[])).
% 48.77/31.87 tff(10526,plain,
% 48.77/31.87 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB59, bitIndex2) | (~v88(constB59, bitIndex1)) | v88(constB59, bitIndex0) | v143(constB59))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB59, bitIndex0) | v88(constB59, bitIndex2) | (~v88(constB59, bitIndex1)) | v143(constB59)))),
% 48.77/31.87 inference(monotonicity,[status(thm)],[10525])).
% 48.77/31.87 tff(10527,plain,
% 48.77/31.87 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB59, bitIndex2) | (~v88(constB59, bitIndex1)) | v88(constB59, bitIndex0) | v143(constB59))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB59, bitIndex0) | v88(constB59, bitIndex2) | (~v88(constB59, bitIndex1)) | v143(constB59))),
% 48.77/31.87 inference(transitivity,[status(thm)],[10526, 10524])).
% 48.77/31.87 tff(10528,plain,
% 48.77/31.87 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB59, bitIndex2) | (~v88(constB59, bitIndex1)) | v88(constB59, bitIndex0) | v143(constB59))),
% 48.77/31.87 inference(quant_inst,[status(thm)],[])).
% 48.77/31.87 tff(10529,plain,
% 48.77/31.87 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB59, bitIndex0) | v88(constB59, bitIndex2) | (~v88(constB59, bitIndex1)) | v143(constB59)),
% 48.77/31.87 inference(modus_ponens,[status(thm)],[10528, 10527])).
% 48.77/31.87 tff(10530,plain,
% 48.77/31.87 (v143(constB59)),
% 48.77/31.87 inference(unit_resolution,[status(thm)],[10529, 10523, 10513, 10509, 10498])).
% 48.77/31.87 tff(10531,plain,
% 48.77/31.87 (^[VarCurr: $i] : refl((v142(VarCurr) | (~v143(VarCurr))) <=> (v142(VarCurr) | (~v143(VarCurr))))),
% 48.77/31.87 inference(bind,[status(th)],[])).
% 48.77/31.87 tff(10532,plain,
% 48.77/31.87 (![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr))) <=> ![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))),
% 48.77/31.87 inference(quant_intro,[status(thm)],[10531])).
% 48.77/31.87 tff(10533,plain,
% 48.77/31.87 (![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr))) <=> ![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))),
% 48.77/31.87 inference(rewrite,[status(thm)],[])).
% 48.77/31.87 tff(10534,axiom,(![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_30_1_2')).
% 48.77/31.87 tff(10535,plain,
% 48.77/31.87 (![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))),
% 48.77/31.87 inference(modus_ponens,[status(thm)],[10534, 10533])).
% 48.77/31.87 tff(10536,plain,(
% 48.77/31.87 ![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))),
% 48.77/31.87 inference(skolemize,[status(sab)],[10535])).
% 48.77/31.87 tff(10537,plain,
% 48.77/31.87 (![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))),
% 48.77/31.87 inference(modus_ponens,[status(thm)],[10536, 10532])).
% 48.77/31.87 tff(10538,plain,
% 48.77/31.87 (((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB59) | (~v143(constB59)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB59) | (~v143(constB59)))),
% 48.77/31.87 inference(rewrite,[status(thm)],[])).
% 48.77/31.87 tff(10539,plain,
% 48.77/31.87 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB59) | (~v143(constB59)))),
% 48.77/31.87 inference(quant_inst,[status(thm)],[])).
% 48.77/31.87 tff(10540,plain,
% 48.77/31.87 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB59) | (~v143(constB59))),
% 48.77/31.87 inference(modus_ponens,[status(thm)],[10539, 10538])).
% 48.77/31.87 tff(10541,plain,
% 48.77/31.87 (v142(constB59)),
% 48.77/31.87 inference(unit_resolution,[status(thm)],[10540, 10537, 10530])).
% 48.77/31.87 tff(10542,plain,
% 48.77/31.87 (^[VarCurr: $i] : refl((v198(VarCurr) | (~v142(VarCurr))) <=> (v198(VarCurr) | (~v142(VarCurr))))),
% 48.77/31.87 inference(bind,[status(th)],[])).
% 48.77/31.87 tff(10543,plain,
% 48.77/31.87 (![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr))) <=> ![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))),
% 48.77/31.87 inference(quant_intro,[status(thm)],[10542])).
% 48.77/31.87 tff(10544,plain,
% 48.77/31.87 (![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr))) <=> ![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))),
% 48.77/31.87 inference(rewrite,[status(thm)],[])).
% 48.77/31.87 tff(10545,axiom,(![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_50_1_1_2')).
% 48.77/31.87 tff(10546,plain,
% 48.77/31.87 (![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))),
% 48.77/31.87 inference(modus_ponens,[status(thm)],[10545, 10544])).
% 48.77/31.87 tff(10547,plain,(
% 48.77/31.87 ![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))),
% 48.77/31.87 inference(skolemize,[status(sab)],[10546])).
% 48.77/31.87 tff(10548,plain,
% 48.77/31.87 (![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))),
% 48.77/31.87 inference(modus_ponens,[status(thm)],[10547, 10543])).
% 48.77/31.87 tff(10549,plain,
% 48.77/31.87 (((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB59) | (~v142(constB59)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB59) | (~v142(constB59)))),
% 48.77/31.87 inference(rewrite,[status(thm)],[])).
% 48.77/31.87 tff(10550,plain,
% 48.77/31.87 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB59) | (~v142(constB59)))),
% 48.77/31.87 inference(quant_inst,[status(thm)],[])).
% 48.77/31.87 tff(10551,plain,
% 48.77/31.87 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB59) | (~v142(constB59))),
% 48.77/31.87 inference(modus_ponens,[status(thm)],[10550, 10549])).
% 48.77/31.87 tff(10552,plain,
% 48.77/31.87 (v198(constB59)),
% 48.77/31.87 inference(unit_resolution,[status(thm)],[10551, 10548, 10541])).
% 48.77/31.87 tff(10553,plain,
% 48.77/31.87 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB59)) | (~v201(constB59)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB59)) | (~v201(constB59)))),
% 48.77/31.87 inference(rewrite,[status(thm)],[])).
% 48.77/31.87 tff(10554,plain,
% 48.77/31.87 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB59)) | (~v201(constB59)))),
% 48.77/31.87 inference(quant_inst,[status(thm)],[])).
% 48.77/31.87 tff(10555,plain,
% 48.77/31.87 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB59)) | (~v201(constB59))),
% 48.77/31.87 inference(modus_ponens,[status(thm)],[10554, 10553])).
% 48.77/31.87 tff(10556,plain,
% 48.77/31.87 (~v201(constB59)),
% 48.77/31.87 inference(unit_resolution,[status(thm)],[10555, 8823, 10552])).
% 48.77/31.87 tff(10557,plain,
% 48.77/31.87 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB59) | (~v198(constB59)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB59) | (~v198(constB59)))),
% 48.77/31.87 inference(rewrite,[status(thm)],[])).
% 48.77/31.87 tff(10558,plain,
% 48.77/31.87 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB59) | (~v198(constB59)))),
% 48.77/31.87 inference(quant_inst,[status(thm)],[])).
% 48.77/31.87 tff(10559,plain,
% 48.77/31.87 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB59) | (~v198(constB59))),
% 48.77/31.87 inference(modus_ponens,[status(thm)],[10558, 10557])).
% 48.77/31.87 tff(10560,plain,
% 48.77/31.87 (v197(constB59)),
% 48.77/31.87 inference(unit_resolution,[status(thm)],[10559, 8834, 10552])).
% 48.77/31.87 tff(10561,plain,
% 48.77/31.87 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB59) | (~v197(constB59)) | v201(constB59))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB59) | (~v197(constB59)) | v201(constB59))),
% 48.77/31.87 inference(rewrite,[status(thm)],[])).
% 48.77/31.87 tff(10562,plain,
% 48.77/31.87 (((~v197(constB59)) | v201(constB59) | v227(constB59)) <=> (v227(constB59) | (~v197(constB59)) | v201(constB59))),
% 48.77/31.87 inference(rewrite,[status(thm)],[])).
% 48.77/31.87 tff(10563,plain,
% 48.77/31.87 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB59)) | v201(constB59) | v227(constB59))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB59) | (~v197(constB59)) | v201(constB59)))),
% 48.77/31.87 inference(monotonicity,[status(thm)],[10562])).
% 48.77/31.87 tff(10564,plain,
% 48.77/31.87 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB59)) | v201(constB59) | v227(constB59))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB59) | (~v197(constB59)) | v201(constB59))),
% 48.77/31.87 inference(transitivity,[status(thm)],[10563, 10561])).
% 48.77/31.87 tff(10565,plain,
% 48.77/31.87 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB59)) | v201(constB59) | v227(constB59))),
% 48.77/31.87 inference(quant_inst,[status(thm)],[])).
% 48.77/31.87 tff(10566,plain,
% 48.77/31.87 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB59) | (~v197(constB59)) | v201(constB59)),
% 48.77/31.87 inference(modus_ponens,[status(thm)],[10565, 10564])).
% 48.77/31.87 tff(10567,plain,
% 48.77/31.87 (v227(constB59)),
% 48.77/31.87 inference(unit_resolution,[status(thm)],[10566, 8848, 10560, 10556])).
% 48.77/31.87 tff(10568,plain,
% 48.77/31.87 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB59)) | (~v223(constB59, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB59)) | (~v223(constB59, bitIndex0)))),
% 48.77/31.87 inference(rewrite,[status(thm)],[])).
% 48.77/31.87 tff(10569,plain,
% 48.77/31.87 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB59)) | (~v223(constB59, bitIndex0)))),
% 48.77/31.87 inference(quant_inst,[status(thm)],[])).
% 48.77/31.87 tff(10570,plain,
% 48.77/31.87 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB59)) | (~v223(constB59, bitIndex0))),
% 48.77/31.87 inference(modus_ponens,[status(thm)],[10569, 10568])).
% 48.77/31.87 tff(10571,plain,
% 48.77/31.87 (~v223(constB59, bitIndex0)),
% 48.77/31.87 inference(unit_resolution,[status(thm)],[10570, 8862, 10567])).
% 48.77/31.87 tff(10572,plain,
% 48.77/31.87 (^[VarCurr: $i] : refl((v223(VarCurr, bitIndex0) | (~v222(VarCurr))) <=> (v223(VarCurr, bitIndex0) | (~v222(VarCurr))))),
% 48.77/31.87 inference(bind,[status(th)],[])).
% 48.77/31.87 tff(10573,plain,
% 48.77/31.87 (![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr))) <=> ![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))),
% 48.77/31.87 inference(quant_intro,[status(thm)],[10572])).
% 48.77/31.87 tff(10574,plain,
% 48.77/31.87 (![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr))) <=> ![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))),
% 48.77/31.87 inference(rewrite,[status(thm)],[])).
% 48.77/31.87 tff(10575,axiom,(![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_54_1_3')).
% 48.77/31.87 tff(10576,plain,
% 48.77/31.87 (![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))),
% 48.77/31.87 inference(modus_ponens,[status(thm)],[10575, 10574])).
% 48.77/31.87 tff(10577,plain,(
% 48.77/31.87 ![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))),
% 48.77/31.87 inference(skolemize,[status(sab)],[10576])).
% 48.77/31.87 tff(10578,plain,
% 48.77/31.87 (![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))),
% 48.77/31.87 inference(modus_ponens,[status(thm)],[10577, 10573])).
% 48.77/31.87 tff(10579,plain,
% 48.77/31.87 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB59, bitIndex0) | (~v222(constB59)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | v223(constB59, bitIndex0) | (~v222(constB59)))),
% 48.77/31.87 inference(rewrite,[status(thm)],[])).
% 48.77/31.87 tff(10580,plain,
% 48.77/31.87 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB59, bitIndex0) | (~v222(constB59)))),
% 48.77/31.87 inference(quant_inst,[status(thm)],[])).
% 48.77/31.87 tff(10581,plain,
% 48.77/31.87 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | v223(constB59, bitIndex0) | (~v222(constB59))),
% 48.77/31.87 inference(modus_ponens,[status(thm)],[10580, 10579])).
% 48.77/31.87 tff(10582,plain,
% 48.77/31.87 (~v222(constB59)),
% 48.77/31.87 inference(unit_resolution,[status(thm)],[10581, 10578, 10571])).
% 48.77/31.87 tff(10583,plain,
% 48.77/31.87 (^[VarCurr: $i] : refl(((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr))) <=> ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr))))),
% 48.77/31.87 inference(bind,[status(th)],[])).
% 48.77/31.87 tff(10584,plain,
% 48.77/31.87 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))),
% 48.77/31.87 inference(quant_intro,[status(thm)],[10583])).
% 48.77/31.87 tff(10585,plain,
% 48.77/31.87 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))),
% 48.77/31.87 inference(rewrite,[status(thm)],[])).
% 48.77/31.87 tff(10586,axiom,(![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_3')).
% 48.77/31.87 tff(10587,plain,
% 48.77/31.87 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))),
% 48.77/31.87 inference(modus_ponens,[status(thm)],[10586, 10585])).
% 48.77/31.87 tff(10588,plain,(
% 48.77/31.87 ![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))),
% 48.77/31.87 inference(skolemize,[status(sab)],[10587])).
% 48.77/31.87 tff(10589,plain,
% 48.77/31.87 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))),
% 48.77/31.87 inference(modus_ponens,[status(thm)],[10588, 10584])).
% 48.77/31.87 tff(10590,plain,
% 48.77/31.87 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v139(constB59)) | (~v88(constB59, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB59)) | (~v88(constB59, bitIndex1)))),
% 48.77/31.87 inference(rewrite,[status(thm)],[])).
% 48.77/31.87 tff(10591,plain,
% 48.77/31.87 (((~v88(constB59, bitIndex1)) | (~v139(constB59))) <=> ((~v139(constB59)) | (~v88(constB59, bitIndex1)))),
% 48.77/31.87 inference(rewrite,[status(thm)],[])).
% 48.77/31.87 tff(10592,plain,
% 48.77/31.87 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB59, bitIndex1)) | (~v139(constB59)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v139(constB59)) | (~v88(constB59, bitIndex1))))),
% 48.77/31.87 inference(monotonicity,[status(thm)],[10591])).
% 48.77/31.87 tff(10593,plain,
% 48.77/31.87 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB59, bitIndex1)) | (~v139(constB59)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB59)) | (~v88(constB59, bitIndex1)))),
% 48.77/31.87 inference(transitivity,[status(thm)],[10592, 10590])).
% 48.77/31.87 tff(10594,plain,
% 48.77/31.87 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB59, bitIndex1)) | (~v139(constB59)))),
% 48.77/31.87 inference(quant_inst,[status(thm)],[])).
% 48.77/31.87 tff(10595,plain,
% 48.77/31.87 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB59)) | (~v88(constB59, bitIndex1))),
% 48.77/31.87 inference(modus_ponens,[status(thm)],[10594, 10593])).
% 48.77/31.87 tff(10596,plain,
% 48.77/31.87 (~v139(constB59)),
% 48.77/31.87 inference(unit_resolution,[status(thm)],[10595, 10589, 10513])).
% 48.77/31.87 tff(10597,plain,
% 48.77/31.87 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB59, bitIndex1)) | (~v140(constB59)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB59, bitIndex1)) | (~v140(constB59)))),
% 48.77/31.87 inference(rewrite,[status(thm)],[])).
% 48.77/31.87 tff(10598,plain,
% 48.77/31.87 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB59, bitIndex1)) | (~v140(constB59)))),
% 48.77/31.87 inference(quant_inst,[status(thm)],[])).
% 48.77/31.87 tff(10599,plain,
% 48.77/31.87 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB59, bitIndex1)) | (~v140(constB59))),
% 48.77/31.87 inference(modus_ponens,[status(thm)],[10598, 10597])).
% 48.77/31.87 tff(10600,plain,
% 48.77/31.87 (~v140(constB59)),
% 48.77/31.87 inference(unit_resolution,[status(thm)],[10599, 9002, 10513])).
% 48.77/31.87 tff(10601,plain,
% 48.77/31.87 (^[VarCurr: $i] : refl((v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr))) <=> (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr))))),
% 48.77/31.87 inference(bind,[status(th)],[])).
% 48.77/31.87 tff(10602,plain,
% 48.77/31.87 (![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr))) <=> ![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))),
% 48.77/31.87 inference(quant_intro,[status(thm)],[10601])).
% 48.77/31.87 tff(10603,plain,
% 48.77/31.87 (![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr))) <=> ![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))),
% 48.77/31.87 inference(rewrite,[status(thm)],[])).
% 48.77/31.87 tff(10604,plain,
% 48.77/31.87 (^[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)))))),
% 48.77/31.87 inference(bind,[status(th)],[])).
% 48.77/31.87 tff(10605,plain,
% 48.77/31.87 (![VarCurr: $i] : ((v140(VarCurr) | v139(VarCurr)) | (~v200(VarCurr))) <=> ![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))),
% 48.77/31.87 inference(quant_intro,[status(thm)],[10604])).
% 48.77/31.87 tff(10606,axiom,(![VarCurr: $i] : ((v140(VarCurr) | v139(VarCurr)) | (~v200(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_48_1_3')).
% 48.77/31.87 tff(10607,plain,
% 48.77/31.87 (![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))),
% 48.77/31.87 inference(modus_ponens,[status(thm)],[10606, 10605])).
% 48.77/31.87 tff(10608,plain,
% 48.77/31.87 (![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))),
% 48.77/31.87 inference(modus_ponens,[status(thm)],[10607, 10603])).
% 48.77/31.87 tff(10609,plain,(
% 48.77/31.87 ![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))),
% 48.77/31.87 inference(skolemize,[status(sab)],[10608])).
% 48.77/31.87 tff(10610,plain,
% 48.77/31.87 (![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))),
% 48.77/31.87 inference(modus_ponens,[status(thm)],[10609, 10602])).
% 48.77/31.87 tff(10611,plain,
% 48.77/31.87 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | ((~v200(constB59)) | v140(constB59) | v139(constB59))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (~v200(constB59)) | v140(constB59) | v139(constB59))),
% 48.77/31.87 inference(rewrite,[status(thm)],[])).
% 48.77/31.87 tff(10612,plain,
% 48.77/31.87 ((v140(constB59) | v139(constB59) | (~v200(constB59))) <=> ((~v200(constB59)) | v140(constB59) | v139(constB59))),
% 48.77/31.87 inference(rewrite,[status(thm)],[])).
% 48.77/31.87 tff(10613,plain,
% 48.77/31.87 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB59) | v139(constB59) | (~v200(constB59)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | ((~v200(constB59)) | v140(constB59) | v139(constB59)))),
% 48.77/31.87 inference(monotonicity,[status(thm)],[10612])).
% 48.77/31.87 tff(10614,plain,
% 48.77/31.87 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB59) | v139(constB59) | (~v200(constB59)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (~v200(constB59)) | v140(constB59) | v139(constB59))),
% 48.77/31.87 inference(transitivity,[status(thm)],[10613, 10611])).
% 48.77/31.87 tff(10615,plain,
% 48.77/31.87 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB59) | v139(constB59) | (~v200(constB59)))),
% 48.77/31.87 inference(quant_inst,[status(thm)],[])).
% 48.77/31.87 tff(10616,plain,
% 48.77/31.87 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (~v200(constB59)) | v140(constB59) | v139(constB59)),
% 48.77/31.87 inference(modus_ponens,[status(thm)],[10615, 10614])).
% 48.77/31.87 tff(10617,plain,
% 48.77/31.87 (~v200(constB59)),
% 48.77/31.87 inference(unit_resolution,[status(thm)],[10616, 10610, 10600, 10596])).
% 48.77/31.87 tff(10618,plain,
% 48.77/31.87 (^[VarCurr: $i] : refl((v88(VarCurr, bitIndex0) | (~v141(VarCurr))) <=> (v88(VarCurr, bitIndex0) | (~v141(VarCurr))))),
% 48.77/31.87 inference(bind,[status(th)],[])).
% 48.77/31.87 tff(10619,plain,
% 48.77/31.87 (![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr))) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))),
% 48.77/31.87 inference(quant_intro,[status(thm)],[10618])).
% 48.77/31.87 tff(10620,plain,
% 48.77/31.87 (![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr))) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))),
% 48.77/31.87 inference(rewrite,[status(thm)],[])).
% 48.77/31.87 tff(10621,axiom,(![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_11_1_1_3')).
% 48.77/31.87 tff(10622,plain,
% 48.77/31.87 (![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))),
% 48.77/31.87 inference(modus_ponens,[status(thm)],[10621, 10620])).
% 48.77/31.87 tff(10623,plain,(
% 48.77/31.87 ![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))),
% 48.77/31.87 inference(skolemize,[status(sab)],[10622])).
% 48.77/31.87 tff(10624,plain,
% 48.77/31.87 (![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))),
% 48.77/31.87 inference(modus_ponens,[status(thm)],[10623, 10619])).
% 48.77/31.87 tff(10625,plain,
% 48.77/31.87 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB59, bitIndex0) | (~v141(constB59)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB59, bitIndex0) | (~v141(constB59)))),
% 48.77/31.87 inference(rewrite,[status(thm)],[])).
% 48.77/31.87 tff(10626,plain,
% 48.77/31.87 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB59, bitIndex0) | (~v141(constB59)))),
% 48.77/31.87 inference(quant_inst,[status(thm)],[])).
% 48.77/31.87 tff(10627,plain,
% 48.77/31.87 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB59, bitIndex0) | (~v141(constB59))),
% 48.77/31.87 inference(modus_ponens,[status(thm)],[10626, 10625])).
% 48.77/31.87 tff(10628,plain,
% 48.77/31.87 (~v141(constB59)),
% 48.77/31.87 inference(unit_resolution,[status(thm)],[10627, 10624, 10509])).
% 48.77/31.87 tff(10629,plain,
% 48.77/31.87 (^[VarCurr: $i] : refl((v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr))) <=> (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr))))),
% 48.77/31.87 inference(bind,[status(th)],[])).
% 48.77/31.87 tff(10630,plain,
% 48.77/31.87 (![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr))) <=> ![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))),
% 48.77/31.87 inference(quant_intro,[status(thm)],[10629])).
% 48.77/31.87 tff(10631,plain,
% 48.77/31.87 (![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr))) <=> ![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))),
% 48.77/31.87 inference(rewrite,[status(thm)],[])).
% 48.77/31.87 tff(10632,plain,
% 48.77/31.87 (^[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)))))),
% 48.77/31.87 inference(bind,[status(th)],[])).
% 48.77/31.87 tff(10633,plain,
% 48.77/31.87 (![VarCurr: $i] : (((~v166(VarCurr)) | v200(VarCurr)) | v141(VarCurr)) <=> ![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))),
% 48.77/31.87 inference(quant_intro,[status(thm)],[10632])).
% 48.77/31.87 tff(10634,axiom,(![VarCurr: $i] : (((~v166(VarCurr)) | v200(VarCurr)) | v141(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_2_1_1_1')).
% 48.77/31.87 tff(10635,plain,
% 48.77/31.87 (![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))),
% 48.77/31.87 inference(modus_ponens,[status(thm)],[10634, 10633])).
% 48.77/31.87 tff(10636,plain,
% 48.77/31.87 (![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))),
% 48.77/31.87 inference(modus_ponens,[status(thm)],[10635, 10631])).
% 48.77/31.87 tff(10637,plain,(
% 48.77/31.87 ![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))),
% 48.77/31.87 inference(skolemize,[status(sab)],[10636])).
% 48.77/31.87 tff(10638,plain,
% 48.77/31.87 (![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))),
% 48.77/31.87 inference(modus_ponens,[status(thm)],[10637, 10630])).
% 48.77/31.87 tff(10639,plain,
% 48.77/31.87 (((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB59) | v200(constB59) | (~v166(constB59)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB59) | v200(constB59) | (~v166(constB59)))),
% 48.77/31.87 inference(rewrite,[status(thm)],[])).
% 48.77/31.87 tff(10640,plain,
% 48.77/31.87 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB59) | v200(constB59) | (~v166(constB59)))),
% 48.77/31.87 inference(quant_inst,[status(thm)],[])).
% 48.77/31.87 tff(10641,plain,
% 48.77/31.87 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB59) | v200(constB59) | (~v166(constB59))),
% 48.77/31.87 inference(modus_ponens,[status(thm)],[10640, 10639])).
% 48.77/31.87 tff(10642,plain,
% 48.77/31.87 (~v166(constB59)),
% 48.77/31.87 inference(unit_resolution,[status(thm)],[10641, 10638, 10628, 10617])).
% 48.77/31.87 tff(10643,plain,
% 48.77/31.87 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB59) | v166(constB59) | (~v197(constB59)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB59) | v166(constB59) | (~v197(constB59)))),
% 48.77/31.87 inference(rewrite,[status(thm)],[])).
% 48.77/31.87 tff(10644,plain,
% 48.77/31.87 (((~v197(constB59)) | v166(constB59) | v241(constB59)) <=> (v241(constB59) | v166(constB59) | (~v197(constB59)))),
% 48.77/31.87 inference(rewrite,[status(thm)],[])).
% 48.77/31.87 tff(10645,plain,
% 48.77/31.87 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB59)) | v166(constB59) | v241(constB59))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB59) | v166(constB59) | (~v197(constB59))))),
% 48.77/31.87 inference(monotonicity,[status(thm)],[10644])).
% 48.77/31.87 tff(10646,plain,
% 48.77/31.87 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB59)) | v166(constB59) | v241(constB59))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB59) | v166(constB59) | (~v197(constB59)))),
% 48.77/31.87 inference(transitivity,[status(thm)],[10645, 10643])).
% 48.77/31.87 tff(10647,plain,
% 48.77/31.87 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB59)) | v166(constB59) | v241(constB59))),
% 48.77/31.87 inference(quant_inst,[status(thm)],[])).
% 48.77/31.87 tff(10648,plain,
% 48.77/31.87 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB59) | v166(constB59) | (~v197(constB59))),
% 48.77/31.87 inference(modus_ponens,[status(thm)],[10647, 10646])).
% 48.77/31.87 tff(10649,plain,
% 48.77/31.87 (v241(constB59) | (~v197(constB59))),
% 48.77/31.87 inference(unit_resolution,[status(thm)],[10648, 10277, 10642])).
% 48.77/31.87 tff(10650,plain,
% 48.77/31.87 (v241(constB59)),
% 48.77/31.87 inference(unit_resolution,[status(thm)],[10649, 10560])).
% 48.77/31.87 tff(10651,plain,
% 48.77/31.87 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB59)) | (~v223(constB59, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB59)) | (~v223(constB59, bitIndex2)))),
% 48.77/31.87 inference(rewrite,[status(thm)],[])).
% 48.77/31.87 tff(10652,plain,
% 48.77/31.87 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB59)) | (~v223(constB59, bitIndex2)))),
% 48.77/31.87 inference(quant_inst,[status(thm)],[])).
% 48.77/31.87 tff(10653,plain,
% 48.77/31.87 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB59)) | (~v223(constB59, bitIndex2))),
% 48.77/31.87 inference(modus_ponens,[status(thm)],[10652, 10651])).
% 48.77/31.87 tff(10654,plain,
% 48.77/31.87 (~v223(constB59, bitIndex2)),
% 48.77/31.87 inference(unit_resolution,[status(thm)],[10653, 10292, 10650])).
% 48.77/31.87 tff(10655,plain,
% 48.77/31.87 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB59)) | v223(constB59, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB59)) | v223(constB59, bitIndex2))),
% 48.77/31.87 inference(rewrite,[status(thm)],[])).
% 48.77/31.87 tff(10656,plain,
% 48.77/31.87 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB59)) | v223(constB59, bitIndex2))),
% 48.77/31.87 inference(quant_inst,[status(thm)],[])).
% 48.77/31.87 tff(10657,plain,
% 48.77/31.87 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB59)) | v223(constB59, bitIndex2)),
% 48.77/31.87 inference(modus_ponens,[status(thm)],[10656, 10655])).
% 48.77/31.87 tff(10658,plain,
% 48.77/31.87 (~v224(constB59)),
% 48.77/31.87 inference(unit_resolution,[status(thm)],[10657, 10343, 10654])).
% 48.77/31.87 tff(10659,plain,
% 48.77/31.87 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB59) | v224(constB59) | (~v236(constB59)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB59) | v224(constB59) | (~v236(constB59)))),
% 48.77/31.87 inference(rewrite,[status(thm)],[])).
% 48.77/31.87 tff(10660,plain,
% 48.77/31.87 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB59) | v224(constB59) | (~v236(constB59)))),
% 48.77/31.87 inference(quant_inst,[status(thm)],[])).
% 48.77/31.87 tff(10661,plain,
% 48.77/31.87 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB59) | v224(constB59) | (~v236(constB59))),
% 48.77/31.87 inference(modus_ponens,[status(thm)],[10660, 10659])).
% 48.77/31.87 tff(10662,plain,
% 48.77/31.87 (~v236(constB59)),
% 48.77/31.87 inference(unit_resolution,[status(thm)],[10661, 8968, 10658, 10582])).
% 48.77/31.87 tff(10663,plain,
% 48.77/31.87 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB59) | (~v232(constB59)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB59) | (~v232(constB59)))),
% 48.77/31.87 inference(rewrite,[status(thm)],[])).
% 48.77/31.87 tff(10664,plain,
% 48.77/31.87 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB59) | (~v232(constB59)))),
% 48.77/31.87 inference(quant_inst,[status(thm)],[])).
% 48.77/31.87 tff(10665,plain,
% 48.77/31.87 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB59) | (~v232(constB59))),
% 48.77/31.87 inference(modus_ponens,[status(thm)],[10664, 10663])).
% 48.77/31.87 tff(10666,plain,
% 48.77/31.87 (~v232(constB59)),
% 48.77/31.87 inference(unit_resolution,[status(thm)],[10665, 8980, 10662])).
% 48.77/31.87 tff(10667,plain,
% 48.77/31.87 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | ((~v148(constB59)) | v140(constB59) | v139(constB59))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (~v148(constB59)) | v140(constB59) | v139(constB59))),
% 48.77/31.87 inference(rewrite,[status(thm)],[])).
% 48.77/31.87 tff(10668,plain,
% 48.77/31.87 ((v140(constB59) | v139(constB59) | (~v148(constB59))) <=> ((~v148(constB59)) | v140(constB59) | v139(constB59))),
% 48.77/31.87 inference(rewrite,[status(thm)],[])).
% 48.77/31.87 tff(10669,plain,
% 48.77/31.87 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB59) | v139(constB59) | (~v148(constB59)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | ((~v148(constB59)) | v140(constB59) | v139(constB59)))),
% 48.77/31.87 inference(monotonicity,[status(thm)],[10668])).
% 48.77/31.87 tff(10670,plain,
% 48.77/31.87 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB59) | v139(constB59) | (~v148(constB59)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (~v148(constB59)) | v140(constB59) | v139(constB59))),
% 48.77/31.87 inference(transitivity,[status(thm)],[10669, 10667])).
% 48.77/31.87 tff(10671,plain,
% 48.77/31.87 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB59) | v139(constB59) | (~v148(constB59)))),
% 48.77/31.87 inference(quant_inst,[status(thm)],[])).
% 48.77/31.87 tff(10672,plain,
% 48.77/31.87 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (~v148(constB59)) | v140(constB59) | v139(constB59)),
% 48.77/31.87 inference(modus_ponens,[status(thm)],[10671, 10670])).
% 48.77/31.87 tff(10673,plain,
% 48.77/31.87 (~v148(constB59)),
% 48.77/31.87 inference(unit_resolution,[status(thm)],[10672, 9016, 10600, 10596])).
% 48.77/31.87 tff(10674,plain,
% 48.77/31.87 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB59) | (~v197(constB59)) | v148(constB59))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB59) | (~v197(constB59)) | v148(constB59))),
% 48.77/31.87 inference(rewrite,[status(thm)],[])).
% 48.77/31.87 tff(10675,plain,
% 48.77/31.87 ((v148(constB59) | (~v197(constB59)) | v252(constB59)) <=> (v252(constB59) | (~v197(constB59)) | v148(constB59))),
% 48.77/31.87 inference(rewrite,[status(thm)],[])).
% 48.77/31.87 tff(10676,plain,
% 48.77/31.87 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB59) | (~v197(constB59)) | v252(constB59))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB59) | (~v197(constB59)) | v148(constB59)))),
% 48.77/31.87 inference(monotonicity,[status(thm)],[10675])).
% 48.77/31.87 tff(10677,plain,
% 48.77/31.87 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB59) | (~v197(constB59)) | v252(constB59))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB59) | (~v197(constB59)) | v148(constB59))),
% 48.77/31.87 inference(transitivity,[status(thm)],[10676, 10674])).
% 48.77/31.87 tff(10678,plain,
% 48.77/31.87 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB59) | (~v197(constB59)) | v252(constB59))),
% 48.77/31.87 inference(quant_inst,[status(thm)],[])).
% 48.77/31.87 tff(10679,plain,
% 48.77/31.87 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB59) | (~v197(constB59)) | v148(constB59)),
% 48.77/31.87 inference(modus_ponens,[status(thm)],[10678, 10677])).
% 48.77/31.87 tff(10680,plain,
% 48.77/31.87 (v252(constB59) | (~v197(constB59))),
% 48.77/31.87 inference(unit_resolution,[status(thm)],[10679, 9033, 10673])).
% 48.77/31.87 tff(10681,plain,
% 48.77/31.87 (v252(constB59)),
% 48.77/31.87 inference(unit_resolution,[status(thm)],[10680, 10560])).
% 48.77/31.87 tff(10682,plain,
% 48.77/31.87 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB59)) | (~v223(constB59, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB59)) | (~v223(constB59, bitIndex3)))),
% 48.77/31.87 inference(rewrite,[status(thm)],[])).
% 48.77/31.87 tff(10683,plain,
% 48.77/31.87 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB59)) | (~v223(constB59, bitIndex3)))),
% 48.77/31.87 inference(quant_inst,[status(thm)],[])).
% 48.77/31.87 tff(10684,plain,
% 48.77/31.87 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB59)) | (~v223(constB59, bitIndex3))),
% 48.77/31.87 inference(modus_ponens,[status(thm)],[10683, 10682])).
% 48.77/31.87 tff(10685,plain,
% 48.77/31.87 (~v223(constB59, bitIndex3)),
% 48.77/31.87 inference(unit_resolution,[status(thm)],[10684, 9048, 10681])).
% 48.77/31.87 tff(10686,plain,
% 48.77/31.87 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB59)) | v223(constB59, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB59)) | v223(constB59, bitIndex3))),
% 48.77/31.87 inference(rewrite,[status(thm)],[])).
% 48.77/31.87 tff(10687,plain,
% 48.77/31.87 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB59)) | v223(constB59, bitIndex3))),
% 48.77/31.87 inference(quant_inst,[status(thm)],[])).
% 48.77/31.87 tff(10688,plain,
% 48.77/31.87 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB59)) | v223(constB59, bitIndex3)),
% 48.77/31.87 inference(modus_ponens,[status(thm)],[10687, 10686])).
% 48.77/31.87 tff(10689,plain,
% 48.77/31.87 (~v237(constB59)),
% 48.77/31.87 inference(unit_resolution,[status(thm)],[10688, 9062, 10685])).
% 48.77/31.87 tff(10690,plain,
% 48.77/31.87 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB59) | v232(constB59) | (~v248(constB59)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB59) | v232(constB59) | (~v248(constB59)))),
% 48.77/31.87 inference(rewrite,[status(thm)],[])).
% 48.77/31.87 tff(10691,plain,
% 48.77/31.87 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB59) | v232(constB59) | (~v248(constB59)))),
% 48.77/31.87 inference(quant_inst,[status(thm)],[])).
% 48.77/31.87 tff(10692,plain,
% 48.77/31.87 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB59) | v232(constB59) | (~v248(constB59))),
% 48.77/31.87 inference(modus_ponens,[status(thm)],[10691, 10690])).
% 48.77/31.87 tff(10693,plain,
% 48.77/31.87 (v232(constB59) | (~v248(constB59))),
% 48.77/31.87 inference(unit_resolution,[status(thm)],[10692, 9076, 10689])).
% 48.77/31.87 tff(10694,plain,
% 48.77/31.87 (~v248(constB59)),
% 48.77/31.87 inference(unit_resolution,[status(thm)],[10693, 10666])).
% 48.77/31.87 tff(10695,plain,
% 48.77/31.87 ($false),
% 48.77/31.87 inference(unit_resolution,[status(thm)],[10694, 10494])).
% 48.77/31.87 tff(10696,plain,((~(constB59 = sK0_VarCurr)) | (~v248(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 48.77/31.87 tff(10697,plain,
% 48.77/31.87 (~(constB59 = sK0_VarCurr)),
% 48.77/31.87 inference(unit_resolution,[status(thm)],[10696, 4])).
% 48.77/31.87 tff(10698,assumption,(constB71 = sK0_VarCurr), introduced(assumption)).
% 48.77/31.87 tff(10699,plain,
% 48.77/31.87 (v254(constB71) <=> v254(sK0_VarCurr)),
% 48.77/31.87 inference(monotonicity,[status(thm)],[10698])).
% 48.77/31.87 tff(10700,plain,
% 48.77/31.87 (v254(sK0_VarCurr) <=> v254(constB71)),
% 48.77/31.87 inference(symmetry,[status(thm)],[10699])).
% 48.77/31.87 tff(10701,plain,
% 48.77/31.87 (v243(constB71) <=> v243(sK0_VarCurr)),
% 48.77/31.87 inference(monotonicity,[status(thm)],[10698])).
% 48.77/31.87 tff(10702,plain,
% 48.77/31.87 (v243(sK0_VarCurr) <=> v243(constB71)),
% 48.77/31.87 inference(symmetry,[status(thm)],[10701])).
% 48.77/31.87 tff(10703,assumption,(v243(sK0_VarCurr)), introduced(assumption)).
% 48.77/31.87 tff(10704,plain,
% 48.77/31.87 (v243(constB71)),
% 48.77/31.87 inference(modus_ponens,[status(thm)],[10703, 10702])).
% 48.77/31.87 tff(10705,plain,
% 48.77/31.87 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB67, bitIndex0)) | v90(constB67, bitIndex1) | v90(constB67, bitIndex2) | v120(constB67))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB67, bitIndex0)) | v90(constB67, bitIndex1) | v90(constB67, bitIndex2) | v120(constB67))),
% 48.77/31.87 inference(rewrite,[status(thm)],[])).
% 48.77/31.87 tff(10706,plain,
% 48.77/31.88 (((~v90(constB67, bitIndex0)) | v120(constB67) | v90(constB67, bitIndex1) | v90(constB67, bitIndex2)) <=> ((~v90(constB67, bitIndex0)) | v90(constB67, bitIndex1) | v90(constB67, bitIndex2) | v120(constB67))),
% 48.77/31.88 inference(rewrite,[status(thm)],[])).
% 48.77/31.88 tff(10707,plain,
% 48.77/31.88 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB67, bitIndex0)) | v120(constB67) | v90(constB67, bitIndex1) | v90(constB67, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB67, bitIndex0)) | v90(constB67, bitIndex1) | v90(constB67, bitIndex2) | v120(constB67)))),
% 48.77/31.88 inference(monotonicity,[status(thm)],[10706])).
% 48.77/31.88 tff(10708,plain,
% 48.77/31.88 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB67, bitIndex0)) | v120(constB67) | v90(constB67, bitIndex1) | v90(constB67, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB67, bitIndex0)) | v90(constB67, bitIndex1) | v90(constB67, bitIndex2) | v120(constB67))),
% 48.77/31.88 inference(transitivity,[status(thm)],[10707, 10705])).
% 48.77/31.88 tff(10709,plain,
% 48.77/31.88 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB67, bitIndex0)) | v120(constB67) | v90(constB67, bitIndex1) | v90(constB67, bitIndex2))),
% 48.77/31.88 inference(quant_inst,[status(thm)],[])).
% 48.77/31.88 tff(10710,plain,
% 48.77/31.88 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB67, bitIndex0)) | v90(constB67, bitIndex1) | v90(constB67, bitIndex2) | v120(constB67)),
% 48.77/31.88 inference(modus_ponens,[status(thm)],[10709, 10708])).
% 48.77/31.88 tff(10711,plain,
% 48.77/31.88 (v120(constB67)),
% 48.77/31.88 inference(unit_resolution,[status(thm)],[10710, 1285, 10164, 10119, 10078])).
% 48.77/31.88 tff(10712,plain,
% 48.77/31.88 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB67) | (~v120(constB67)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB67) | (~v120(constB67)))),
% 48.77/31.88 inference(rewrite,[status(thm)],[])).
% 48.77/31.88 tff(10713,plain,
% 48.77/31.88 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB67) | (~v120(constB67)))),
% 48.77/31.88 inference(quant_inst,[status(thm)],[])).
% 48.77/31.88 tff(10714,plain,
% 48.77/31.88 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB67) | (~v120(constB67))),
% 48.77/31.88 inference(modus_ponens,[status(thm)],[10713, 10712])).
% 48.77/31.88 tff(10715,plain,
% 48.77/31.88 (v118(constB67)),
% 48.77/31.88 inference(unit_resolution,[status(thm)],[10714, 1302, 10711])).
% 48.77/31.88 tff(10716,plain,
% 48.77/31.88 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB67) | (~v118(constB67)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB67) | (~v118(constB67)))),
% 48.77/31.88 inference(rewrite,[status(thm)],[])).
% 48.77/31.88 tff(10717,plain,
% 48.77/31.88 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB67) | (~v118(constB67)))),
% 48.77/31.88 inference(quant_inst,[status(thm)],[])).
% 48.77/31.88 tff(10718,plain,
% 48.77/31.88 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB67) | (~v118(constB67))),
% 48.77/31.88 inference(modus_ponens,[status(thm)],[10717, 10716])).
% 48.77/31.88 tff(10719,plain,
% 48.77/31.88 (v117(constB67)),
% 48.77/31.88 inference(unit_resolution,[status(thm)],[10718, 166, 10715])).
% 48.77/31.88 tff(10720,plain,
% 48.77/31.88 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB67) | (~v117(constB67)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB67) | (~v117(constB67)))),
% 48.77/31.88 inference(rewrite,[status(thm)],[])).
% 48.77/31.88 tff(10721,plain,
% 48.77/31.88 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB67) | (~v117(constB67)))),
% 48.77/31.88 inference(quant_inst,[status(thm)],[])).
% 48.77/31.88 tff(10722,plain,
% 48.77/31.88 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB67) | (~v117(constB67))),
% 48.77/31.88 inference(modus_ponens,[status(thm)],[10721, 10720])).
% 48.77/31.88 tff(10723,plain,
% 48.77/31.88 (v116(constB67)),
% 48.77/31.88 inference(unit_resolution,[status(thm)],[10722, 177, 10719])).
% 48.77/31.88 tff(10724,plain,
% 48.77/31.88 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB67) | (~v116(constB67)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB67) | (~v116(constB67)))),
% 48.77/31.88 inference(rewrite,[status(thm)],[])).
% 48.77/31.88 tff(10725,plain,
% 48.77/31.88 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB67) | (~v116(constB67)))),
% 48.77/31.88 inference(quant_inst,[status(thm)],[])).
% 48.77/31.88 tff(10726,plain,
% 48.77/31.88 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB67) | (~v116(constB67))),
% 48.77/31.88 inference(modus_ponens,[status(thm)],[10725, 10724])).
% 48.77/31.88 tff(10727,plain,
% 48.77/31.88 (v115(constB67)),
% 48.77/31.88 inference(unit_resolution,[status(thm)],[10726, 188, 10723])).
% 48.77/31.88 tff(10728,plain,
% 48.77/31.88 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB67) | (~v115(constB67)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB67) | (~v115(constB67)))),
% 48.77/31.88 inference(rewrite,[status(thm)],[])).
% 48.77/31.88 tff(10729,plain,
% 48.77/31.88 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB67) | (~v115(constB67)))),
% 48.77/31.88 inference(quant_inst,[status(thm)],[])).
% 48.77/31.88 tff(10730,plain,
% 48.77/31.88 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB67) | (~v115(constB67))),
% 48.77/31.88 inference(modus_ponens,[status(thm)],[10729, 10728])).
% 48.77/31.88 tff(10731,plain,
% 48.77/31.88 (v114(constB67)),
% 48.77/31.88 inference(unit_resolution,[status(thm)],[10730, 199, 10727])).
% 48.77/31.88 tff(10732,plain,
% 48.77/31.88 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB67) | (~v114(constB67)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB67) | (~v114(constB67)))),
% 48.77/31.88 inference(rewrite,[status(thm)],[])).
% 48.77/31.88 tff(10733,plain,
% 48.77/31.88 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB67) | (~v114(constB67)))),
% 48.77/31.88 inference(quant_inst,[status(thm)],[])).
% 48.77/31.88 tff(10734,plain,
% 48.77/31.88 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB67) | (~v114(constB67))),
% 48.77/31.88 inference(modus_ponens,[status(thm)],[10733, 10732])).
% 48.77/31.88 tff(10735,plain,
% 48.77/31.88 (v113(constB67)),
% 48.77/31.88 inference(unit_resolution,[status(thm)],[10734, 210, 10731])).
% 48.77/31.88 tff(10736,assumption,(v26(constB67)), introduced(assumption)).
% 48.77/31.88 tff(10737,plain,
% 48.77/31.88 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB67))),
% 48.77/31.88 inference(quant_inst,[status(thm)],[])).
% 48.77/31.88 tff(10738,plain,
% 48.77/31.88 ($false),
% 48.77/31.88 inference(unit_resolution,[status(thm)],[10737, 16, 10736])).
% 48.77/31.88 tff(10739,plain,(~v26(constB67)), inference(lemma,lemma(discharge,[]))).
% 48.77/31.88 tff(10740,plain,
% 48.77/31.88 (((~![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)))),
% 48.77/31.88 inference(rewrite,[status(thm)],[])).
% 48.77/31.88 tff(10741,plain,
% 48.77/31.88 ((v26(constB67) | (~v113(constB67)) | v112(constB67)) <=> (v26(constB67) | v112(constB67) | (~v113(constB67)))),
% 48.77/31.88 inference(rewrite,[status(thm)],[])).
% 48.77/31.88 tff(10742,plain,
% 48.77/31.88 (((~![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))))),
% 48.77/31.88 inference(monotonicity,[status(thm)],[10741])).
% 48.77/31.88 tff(10743,plain,
% 48.77/31.88 (((~![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)))),
% 48.77/31.88 inference(transitivity,[status(thm)],[10742, 10740])).
% 48.77/31.88 tff(10744,plain,
% 48.77/31.88 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB67) | (~v113(constB67)) | v112(constB67))),
% 48.77/31.88 inference(quant_inst,[status(thm)],[])).
% 48.77/31.88 tff(10745,plain,
% 48.77/31.88 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB67) | v112(constB67) | (~v113(constB67))),
% 48.77/31.88 inference(modus_ponens,[status(thm)],[10744, 10743])).
% 48.77/31.88 tff(10746,plain,
% 48.77/31.88 (v112(constB67) | (~v113(constB67))),
% 48.77/31.88 inference(unit_resolution,[status(thm)],[10745, 224, 10739])).
% 48.77/31.88 tff(10747,plain,
% 48.77/31.88 (v112(constB67)),
% 48.77/31.88 inference(unit_resolution,[status(thm)],[10746, 10735])).
% 48.77/31.88 tff(10748,plain,
% 48.77/31.88 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB67) | (~v112(constB67)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB67) | (~v112(constB67)))),
% 48.77/31.88 inference(rewrite,[status(thm)],[])).
% 48.77/31.88 tff(10749,plain,
% 48.77/31.88 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB67) | (~v112(constB67)))),
% 48.77/31.88 inference(quant_inst,[status(thm)],[])).
% 48.77/31.88 tff(10750,plain,
% 48.77/31.88 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB67) | (~v112(constB67))),
% 48.77/31.88 inference(modus_ponens,[status(thm)],[10749, 10748])).
% 48.77/31.88 tff(10751,plain,
% 48.77/31.88 (v108(constB67)),
% 48.77/31.88 inference(unit_resolution,[status(thm)],[10750, 236, 10747])).
% 48.77/31.88 tff(10752,plain,
% 48.77/31.88 (nextState(constB67, constB68) <=> nextState(constB67, constB68)),
% 48.77/31.88 inference(rewrite,[status(thm)],[])).
% 48.77/31.88 tff(10753,axiom,(nextState(constB67, constB68)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_67_1')).
% 48.77/31.88 tff(10754,plain,
% 48.77/31.88 (nextState(constB67, constB68)),
% 48.77/31.88 inference(modus_ponens,[status(thm)],[10753, 10752])).
% 48.77/31.88 tff(10755,plain,
% 48.77/31.88 (((~![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)))),
% 48.77/31.88 inference(rewrite,[status(thm)],[])).
% 48.77/31.88 tff(10756,plain,
% 48.77/31.88 (((~nextState(constB67, constB68)) | (~v108(constB67)) | v110(constB68)) <=> ((~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67)))),
% 48.77/31.88 inference(rewrite,[status(thm)],[])).
% 48.77/31.88 tff(10757,plain,
% 48.77/31.88 (((~![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))))),
% 48.77/31.88 inference(monotonicity,[status(thm)],[10756])).
% 48.77/31.88 tff(10758,plain,
% 48.77/31.88 (((~![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)))),
% 48.77/31.88 inference(transitivity,[status(thm)],[10757, 10755])).
% 48.77/31.88 tff(10759,plain,
% 48.77/31.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB67, constB68)) | (~v108(constB67)) | v110(constB68))),
% 48.77/31.88 inference(quant_inst,[status(thm)],[])).
% 48.77/31.88 tff(10760,plain,
% 48.77/31.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67))),
% 48.77/31.88 inference(modus_ponens,[status(thm)],[10759, 10758])).
% 48.77/31.88 tff(10761,plain,
% 48.77/31.88 (v110(constB68) | (~v108(constB67))),
% 48.77/31.88 inference(unit_resolution,[status(thm)],[10760, 253, 10754])).
% 48.77/31.88 tff(10762,plain,
% 48.77/31.88 (v110(constB68)),
% 48.77/31.88 inference(unit_resolution,[status(thm)],[10761, 10751])).
% 48.77/31.88 tff(10763,plain,
% 48.77/31.88 (((~![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)))),
% 48.77/31.88 inference(rewrite,[status(thm)],[])).
% 48.77/31.88 tff(10764,plain,
% 48.77/31.88 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB67) | (~nextState(constB67, constB68)) | (~v104(constB68)))),
% 48.77/31.88 inference(quant_inst,[status(thm)],[])).
% 48.77/31.88 tff(10765,plain,
% 48.77/31.88 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB67) | (~nextState(constB67, constB68)) | (~v104(constB68))),
% 48.77/31.88 inference(modus_ponens,[status(thm)],[10764, 10763])).
% 48.77/31.88 tff(10766,plain,
% 48.77/31.88 (~v104(constB68)),
% 48.77/31.88 inference(unit_resolution,[status(thm)],[10765, 271, 10754, 10054])).
% 48.77/31.88 tff(10767,plain,
% 48.77/31.88 (((~![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))),
% 48.77/31.88 inference(rewrite,[status(thm)],[])).
% 48.77/31.88 tff(10768,plain,
% 48.77/31.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB67, constB68)) | v102(constB68) | v104(constB68))),
% 48.77/31.88 inference(quant_inst,[status(thm)],[])).
% 48.77/31.88 tff(10769,plain,
% 48.77/31.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB67, constB68)) | v102(constB68) | v104(constB68)),
% 48.77/31.88 inference(modus_ponens,[status(thm)],[10768, 10767])).
% 48.77/31.88 tff(10770,plain,
% 48.77/31.88 (v102(constB68) | v104(constB68)),
% 48.77/31.88 inference(unit_resolution,[status(thm)],[10769, 285, 10754])).
% 48.77/31.88 tff(10771,plain,
% 48.77/31.88 (v102(constB68)),
% 48.77/31.88 inference(unit_resolution,[status(thm)],[10770, 10766])).
% 48.77/31.88 tff(10772,plain,
% 48.77/31.88 (v1(constB68) <=> v1(constB68)),
% 48.77/31.88 inference(rewrite,[status(thm)],[])).
% 48.77/31.88 tff(10773,axiom,(v1(constB68)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_68_1')).
% 48.77/31.88 tff(10774,plain,
% 48.77/31.88 (v1(constB68)),
% 48.77/31.88 inference(modus_ponens,[status(thm)],[10773, 10772])).
% 48.77/31.88 tff(10775,plain,
% 48.77/31.88 (((~![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)))),
% 48.77/31.88 inference(rewrite,[status(thm)],[])).
% 48.77/31.88 tff(10776,plain,
% 48.77/31.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB67, constB68)) | v101(constB68) | (~v102(constB68)) | (~v1(constB68)))),
% 48.77/31.88 inference(quant_inst,[status(thm)],[])).
% 48.77/31.88 tff(10777,plain,
% 48.77/31.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB67, constB68)) | v101(constB68) | (~v102(constB68)) | (~v1(constB68))),
% 48.77/31.88 inference(modus_ponens,[status(thm)],[10776, 10775])).
% 48.77/31.88 tff(10778,plain,
% 48.77/31.88 (v101(constB68) | (~v102(constB68))),
% 48.77/31.88 inference(unit_resolution,[status(thm)],[10777, 303, 10754, 10774])).
% 48.77/31.88 tff(10779,plain,
% 48.77/31.88 (v101(constB68)),
% 48.77/31.88 inference(unit_resolution,[status(thm)],[10778, 10771])).
% 48.77/31.88 tff(10780,plain,
% 48.77/31.88 (((~![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)))),
% 48.77/31.88 inference(rewrite,[status(thm)],[])).
% 48.77/31.88 tff(10781,plain,
% 48.77/31.88 (((~nextState(constB67, constB68)) | (~v101(constB68)) | (~v110(constB68)) | v100(constB68)) <=> ((~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68)))),
% 48.77/31.88 inference(rewrite,[status(thm)],[])).
% 48.77/31.88 tff(10782,plain,
% 48.77/31.88 (((~![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))))),
% 48.77/31.88 inference(monotonicity,[status(thm)],[10781])).
% 48.77/31.88 tff(10783,plain,
% 48.77/31.88 (((~![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)))),
% 48.77/31.88 inference(transitivity,[status(thm)],[10782, 10780])).
% 48.77/31.88 tff(10784,plain,
% 48.77/31.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB67, constB68)) | (~v101(constB68)) | (~v110(constB68)) | v100(constB68))),
% 48.77/31.88 inference(quant_inst,[status(thm)],[])).
% 48.77/31.88 tff(10785,plain,
% 48.77/31.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68))),
% 48.77/31.88 inference(modus_ponens,[status(thm)],[10784, 10783])).
% 48.77/31.88 tff(10786,plain,
% 48.77/31.88 (v100(constB68) | (~v101(constB68)) | (~v110(constB68))),
% 48.77/31.88 inference(unit_resolution,[status(thm)],[10785, 318, 10754])).
% 48.77/31.88 tff(10787,plain,
% 48.77/31.88 (v100(constB68) | (~v110(constB68))),
% 48.77/31.88 inference(unit_resolution,[status(thm)],[10786, 10779])).
% 48.77/31.88 tff(10788,plain,
% 48.77/31.88 (v100(constB68)),
% 48.77/31.88 inference(unit_resolution,[status(thm)],[10787, 10762])).
% 48.77/31.88 tff(10789,plain,
% 48.77/31.88 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB67)) | (~v130(constB67, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB67)) | (~v130(constB67, bitIndex2)))),
% 48.77/31.88 inference(rewrite,[status(thm)],[])).
% 48.77/31.88 tff(10790,plain,
% 48.77/31.88 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB67)) | (~v130(constB67, bitIndex2)))),
% 48.77/31.88 inference(quant_inst,[status(thm)],[])).
% 48.77/31.88 tff(10791,plain,
% 48.77/31.88 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB67)) | (~v130(constB67, bitIndex2))),
% 48.77/31.88 inference(modus_ponens,[status(thm)],[10790, 10789])).
% 48.77/31.88 tff(10792,plain,
% 48.77/31.88 (~v130(constB67, bitIndex2)),
% 48.77/31.88 inference(unit_resolution,[status(thm)],[10791, 1383, 10711])).
% 48.77/31.88 tff(10793,plain,
% 48.77/31.88 (((~![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))),
% 48.77/31.88 inference(rewrite,[status(thm)],[])).
% 48.77/31.88 tff(10794,plain,
% 48.77/31.88 ((v26(constB67) | v130(constB67, bitIndex2) | (~v127(constB67, bitIndex2))) <=> ((~v127(constB67, bitIndex2)) | v26(constB67) | v130(constB67, bitIndex2))),
% 48.77/31.88 inference(rewrite,[status(thm)],[])).
% 48.77/31.88 tff(10795,plain,
% 48.77/31.88 (((~![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)))),
% 48.77/31.88 inference(monotonicity,[status(thm)],[10794])).
% 48.77/31.88 tff(10796,plain,
% 48.77/31.88 (((~![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))),
% 48.77/31.88 inference(transitivity,[status(thm)],[10795, 10793])).
% 48.77/31.88 tff(10797,plain,
% 48.77/31.88 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB67) | v130(constB67, bitIndex2) | (~v127(constB67, bitIndex2)))),
% 48.77/31.88 inference(quant_inst,[status(thm)],[])).
% 48.77/31.88 tff(10798,plain,
% 48.77/31.88 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB67, bitIndex2)) | v26(constB67) | v130(constB67, bitIndex2)),
% 48.77/31.88 inference(modus_ponens,[status(thm)],[10797, 10796])).
% 48.77/31.88 tff(10799,plain,
% 48.77/31.88 ((~v127(constB67, bitIndex2)) | v130(constB67, bitIndex2)),
% 48.77/31.88 inference(unit_resolution,[status(thm)],[10798, 1210, 10739])).
% 48.77/31.88 tff(10800,plain,
% 48.77/31.88 (~v127(constB67, bitIndex2)),
% 48.77/31.88 inference(unit_resolution,[status(thm)],[10799, 10792])).
% 48.77/31.88 tff(10801,plain,
% 48.77/31.88 (((~![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)))),
% 48.77/31.88 inference(rewrite,[status(thm)],[])).
% 48.77/31.88 tff(10802,plain,
% 48.77/31.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB67, constB68)) | v127(constB67, bitIndex2) | (~v129(constB68, bitIndex2)))),
% 48.77/31.88 inference(quant_inst,[status(thm)],[])).
% 48.77/31.88 tff(10803,plain,
% 48.77/31.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB67, constB68)) | v127(constB67, bitIndex2) | (~v129(constB68, bitIndex2))),
% 48.77/31.88 inference(modus_ponens,[status(thm)],[10802, 10801])).
% 48.77/31.88 tff(10804,plain,
% 48.77/31.88 (v127(constB67, bitIndex2) | (~v129(constB68, bitIndex2))),
% 48.77/31.88 inference(unit_resolution,[status(thm)],[10803, 1243, 10754])).
% 48.77/31.88 tff(10805,plain,
% 48.77/31.88 (~v129(constB68, bitIndex2)),
% 48.77/31.88 inference(unit_resolution,[status(thm)],[10804, 10800])).
% 48.77/31.88 tff(10806,plain,
% 48.77/31.88 (((~![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)))),
% 48.77/31.88 inference(rewrite,[status(thm)],[])).
% 48.77/31.88 tff(10807,plain,
% 48.77/31.88 (((~v90(constB68, bitIndex2)) | (~v100(constB68)) | v129(constB68, bitIndex2)) <=> ((~v90(constB68, bitIndex2)) | v129(constB68, bitIndex2) | (~v100(constB68)))),
% 48.77/31.88 inference(rewrite,[status(thm)],[])).
% 48.77/31.88 tff(10808,plain,
% 48.77/31.88 (((~![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))))),
% 48.77/31.88 inference(monotonicity,[status(thm)],[10807])).
% 48.77/31.88 tff(10809,plain,
% 48.77/31.88 (((~![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)))),
% 48.77/31.88 inference(transitivity,[status(thm)],[10808, 10806])).
% 48.77/31.88 tff(10810,plain,
% 48.77/31.88 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB68, bitIndex2)) | (~v100(constB68)) | v129(constB68, bitIndex2))),
% 48.77/31.88 inference(quant_inst,[status(thm)],[])).
% 48.77/31.88 tff(10811,plain,
% 48.77/31.88 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB68, bitIndex2)) | v129(constB68, bitIndex2) | (~v100(constB68))),
% 48.77/31.88 inference(modus_ponens,[status(thm)],[10810, 10809])).
% 48.77/31.88 tff(10812,plain,
% 48.77/31.88 ((~v90(constB68, bitIndex2)) | (~v100(constB68))),
% 48.77/31.88 inference(unit_resolution,[status(thm)],[10811, 1258, 10805])).
% 48.77/31.88 tff(10813,plain,
% 48.77/31.88 (~v90(constB68, bitIndex2)),
% 48.77/31.88 inference(unit_resolution,[status(thm)],[10812, 10788])).
% 48.77/31.88 tff(10814,plain,
% 48.77/31.88 ((~v1(constB69)) <=> (~v1(constB69))),
% 48.77/31.88 inference(rewrite,[status(thm)],[])).
% 48.77/31.88 tff(10815,axiom,(~v1(constB69)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_69_1_1')).
% 48.77/31.88 tff(10816,plain,
% 48.77/31.88 (~v1(constB69)),
% 48.77/31.88 inference(modus_ponens,[status(thm)],[10815, 10814])).
% 48.77/31.88 tff(10817,plain,
% 48.77/31.88 (nextState(constB68, constB69) <=> nextState(constB68, constB69)),
% 48.77/31.88 inference(rewrite,[status(thm)],[])).
% 48.77/31.88 tff(10818,axiom,(nextState(constB68, constB69)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_68_1')).
% 48.77/31.88 tff(10819,plain,
% 48.77/31.88 (nextState(constB68, constB69)),
% 48.77/31.88 inference(modus_ponens,[status(thm)],[10818, 10817])).
% 48.77/31.88 tff(10820,plain,
% 48.77/31.88 (((~![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)))),
% 48.77/31.88 inference(rewrite,[status(thm)],[])).
% 48.77/31.88 tff(10821,plain,
% 48.77/31.88 (((~nextState(constB68, constB69)) | (~v101(constB69)) | v1(constB69)) <=> (v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69)))),
% 48.77/31.88 inference(rewrite,[status(thm)],[])).
% 48.77/31.88 tff(10822,plain,
% 48.77/31.88 (((~![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))))),
% 48.77/31.88 inference(monotonicity,[status(thm)],[10821])).
% 48.77/31.88 tff(10823,plain,
% 48.77/31.88 (((~![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)))),
% 48.77/31.88 inference(transitivity,[status(thm)],[10822, 10820])).
% 48.77/31.88 tff(10824,plain,
% 48.77/31.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB68, constB69)) | (~v101(constB69)) | v1(constB69))),
% 48.77/31.88 inference(quant_inst,[status(thm)],[])).
% 48.77/31.88 tff(10825,plain,
% 48.77/31.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69))),
% 48.77/31.88 inference(modus_ponens,[status(thm)],[10824, 10823])).
% 48.77/31.88 tff(10826,plain,
% 48.77/31.88 (~v101(constB69)),
% 48.77/31.88 inference(unit_resolution,[status(thm)],[10825, 49, 10819, 10816])).
% 48.77/31.88 tff(10827,plain,
% 48.77/31.88 (((~![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)))),
% 48.77/31.88 inference(rewrite,[status(thm)],[])).
% 48.77/31.88 tff(10828,plain,
% 48.77/31.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB68, constB69)) | v101(constB69) | (~v100(constB69)))),
% 48.77/31.88 inference(quant_inst,[status(thm)],[])).
% 48.77/31.88 tff(10829,plain,
% 48.77/31.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB68, constB69)) | v101(constB69) | (~v100(constB69))),
% 48.77/31.88 inference(modus_ponens,[status(thm)],[10828, 10827])).
% 48.77/31.88 tff(10830,plain,
% 48.77/31.88 (v101(constB69) | (~v100(constB69))),
% 48.77/31.88 inference(unit_resolution,[status(thm)],[10829, 66, 10819])).
% 48.77/31.88 tff(10831,plain,
% 48.77/31.88 (~v100(constB69)),
% 48.77/31.88 inference(unit_resolution,[status(thm)],[10830, 10826])).
% 48.77/31.88 tff(10832,plain,
% 48.77/31.88 (((~![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)))),
% 48.77/31.88 inference(rewrite,[status(thm)],[])).
% 48.77/31.88 tff(10833,plain,
% 48.77/31.88 (((~nextState(constB68, constB69)) | v90(constB68, bitIndex2) | v100(constB69) | (~v90(constB69, bitIndex2))) <=> (v90(constB68, bitIndex2) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex2)))),
% 48.77/31.88 inference(rewrite,[status(thm)],[])).
% 48.77/31.88 tff(10834,plain,
% 48.77/31.88 (((~![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))))),
% 48.77/31.88 inference(monotonicity,[status(thm)],[10833])).
% 48.77/31.88 tff(10835,plain,
% 48.77/31.88 (((~![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)))),
% 48.77/31.88 inference(transitivity,[status(thm)],[10834, 10832])).
% 48.77/31.88 tff(10836,plain,
% 48.77/31.88 ((~![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)))),
% 48.77/31.88 inference(quant_inst,[status(thm)],[])).
% 48.77/31.88 tff(10837,plain,
% 48.77/31.88 ((~![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))),
% 48.77/31.88 inference(modus_ponens,[status(thm)],[10836, 10835])).
% 48.77/31.88 tff(10838,plain,
% 48.77/31.88 (v90(constB68, bitIndex2) | v100(constB69) | (~v90(constB69, bitIndex2))),
% 48.77/31.88 inference(unit_resolution,[status(thm)],[10837, 81, 10819])).
% 48.77/31.88 tff(10839,plain,
% 48.77/31.88 (v90(constB68, bitIndex2) | (~v90(constB69, bitIndex2))),
% 48.77/31.88 inference(unit_resolution,[status(thm)],[10838, 10831])).
% 48.77/31.88 tff(10840,plain,
% 48.77/31.88 (~v90(constB69, bitIndex2)),
% 48.77/31.88 inference(unit_resolution,[status(thm)],[10839, 10813])).
% 48.77/31.88 tff(10841,plain,
% 48.77/31.88 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB67)) | v130(constB67, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB67)) | v130(constB67, bitIndex1))),
% 48.77/31.88 inference(rewrite,[status(thm)],[])).
% 48.77/31.88 tff(10842,plain,
% 48.77/31.88 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB67)) | v130(constB67, bitIndex1))),
% 48.77/31.88 inference(quant_inst,[status(thm)],[])).
% 48.77/31.88 tff(10843,plain,
% 48.77/31.88 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB67)) | v130(constB67, bitIndex1)),
% 48.77/31.88 inference(modus_ponens,[status(thm)],[10842, 10841])).
% 48.77/31.88 tff(10844,plain,
% 48.77/31.88 (v130(constB67, bitIndex1)),
% 48.77/31.88 inference(unit_resolution,[status(thm)],[10843, 1450, 10711])).
% 48.77/31.88 tff(10845,plain,
% 48.77/31.88 (((~![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))) | v26(constB67) | (~v130(constB67, bitIndex1)) | v127(constB67, bitIndex1))),
% 48.77/31.89 inference(rewrite,[status(thm)],[])).
% 48.77/31.89 tff(10846,plain,
% 48.77/31.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB67) | (~v130(constB67, bitIndex1)) | v127(constB67, bitIndex1))),
% 48.77/31.89 inference(quant_inst,[status(thm)],[])).
% 48.77/31.89 tff(10847,plain,
% 48.77/31.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB67) | (~v130(constB67, bitIndex1)) | v127(constB67, bitIndex1)),
% 48.77/31.89 inference(modus_ponens,[status(thm)],[10846, 10845])).
% 48.77/31.89 tff(10848,plain,
% 48.77/31.89 ((~v130(constB67, bitIndex1)) | v127(constB67, bitIndex1)),
% 48.77/31.89 inference(unit_resolution,[status(thm)],[10847, 681, 10739])).
% 48.77/31.89 tff(10849,plain,
% 48.77/31.89 (v127(constB67, bitIndex1)),
% 48.77/31.89 inference(unit_resolution,[status(thm)],[10848, 10844])).
% 48.77/31.89 tff(10850,plain,
% 48.77/31.89 (((~![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))),
% 48.77/31.89 inference(rewrite,[status(thm)],[])).
% 48.77/31.89 tff(10851,plain,
% 48.77/31.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB67, constB68)) | (~v127(constB67, bitIndex1)) | v129(constB68, bitIndex1))),
% 48.77/31.89 inference(quant_inst,[status(thm)],[])).
% 48.77/31.89 tff(10852,plain,
% 48.77/31.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB67, constB68)) | (~v127(constB67, bitIndex1)) | v129(constB68, bitIndex1)),
% 48.77/31.89 inference(modus_ponens,[status(thm)],[10851, 10850])).
% 48.77/31.89 tff(10853,plain,
% 48.77/31.89 ((~v127(constB67, bitIndex1)) | v129(constB68, bitIndex1)),
% 48.77/31.89 inference(unit_resolution,[status(thm)],[10852, 696, 10754])).
% 48.77/31.89 tff(10854,plain,
% 48.77/31.89 (v129(constB68, bitIndex1)),
% 48.77/31.89 inference(unit_resolution,[status(thm)],[10853, 10849])).
% 48.77/31.89 tff(10855,plain,
% 48.77/31.89 (((~![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)))),
% 48.77/31.89 inference(rewrite,[status(thm)],[])).
% 48.77/31.89 tff(10856,plain,
% 48.77/31.89 ((v90(constB68, bitIndex1) | (~v100(constB68)) | (~v129(constB68, bitIndex1))) <=> (v90(constB68, bitIndex1) | (~v129(constB68, bitIndex1)) | (~v100(constB68)))),
% 48.77/31.89 inference(rewrite,[status(thm)],[])).
% 48.77/31.89 tff(10857,plain,
% 48.77/31.89 (((~![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))))),
% 48.77/31.89 inference(monotonicity,[status(thm)],[10856])).
% 48.77/31.89 tff(10858,plain,
% 48.77/31.89 (((~![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)))),
% 48.77/31.89 inference(transitivity,[status(thm)],[10857, 10855])).
% 48.77/31.89 tff(10859,plain,
% 48.77/31.89 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB68, bitIndex1) | (~v100(constB68)) | (~v129(constB68, bitIndex1)))),
% 48.77/31.89 inference(quant_inst,[status(thm)],[])).
% 48.77/31.89 tff(10860,plain,
% 48.77/31.89 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB68, bitIndex1) | (~v129(constB68, bitIndex1)) | (~v100(constB68))),
% 48.77/31.89 inference(modus_ponens,[status(thm)],[10859, 10858])).
% 48.77/31.89 tff(10861,plain,
% 48.77/31.89 (v90(constB68, bitIndex1) | (~v100(constB68))),
% 48.77/31.89 inference(unit_resolution,[status(thm)],[10860, 711, 10854])).
% 48.77/31.89 tff(10862,plain,
% 48.77/31.89 (v90(constB68, bitIndex1)),
% 48.77/31.89 inference(unit_resolution,[status(thm)],[10861, 10788])).
% 48.77/31.89 tff(10863,plain,
% 48.77/31.89 (((~![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))),
% 48.77/31.89 inference(rewrite,[status(thm)],[])).
% 48.77/31.89 tff(10864,plain,
% 48.77/31.89 (((~nextState(constB68, constB69)) | (~v90(constB68, bitIndex1)) | v100(constB69) | v90(constB69, bitIndex1)) <=> ((~v90(constB68, bitIndex1)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, bitIndex1))),
% 48.77/31.89 inference(rewrite,[status(thm)],[])).
% 48.77/31.89 tff(10865,plain,
% 48.77/31.89 (((~![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)))),
% 48.77/31.89 inference(monotonicity,[status(thm)],[10864])).
% 48.77/31.89 tff(10866,plain,
% 48.77/31.89 (((~![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))),
% 48.77/31.89 inference(transitivity,[status(thm)],[10865, 10863])).
% 48.77/31.89 tff(10867,plain,
% 48.77/31.89 ((~![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))),
% 48.77/31.89 inference(quant_inst,[status(thm)],[])).
% 48.77/31.89 tff(10868,plain,
% 48.77/31.89 ((~![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)),
% 48.77/31.89 inference(modus_ponens,[status(thm)],[10867, 10866])).
% 48.77/31.89 tff(10869,plain,
% 48.77/31.89 ((~v90(constB68, bitIndex1)) | v100(constB69) | v90(constB69, bitIndex1)),
% 48.77/31.89 inference(unit_resolution,[status(thm)],[10868, 747, 10819])).
% 48.77/31.89 tff(10870,plain,
% 48.77/31.89 ((~v90(constB68, bitIndex1)) | v90(constB69, bitIndex1)),
% 48.77/31.89 inference(unit_resolution,[status(thm)],[10869, 10831])).
% 48.77/31.89 tff(10871,plain,
% 48.77/31.89 (v90(constB69, bitIndex1)),
% 48.77/31.89 inference(unit_resolution,[status(thm)],[10870, 10862])).
% 48.77/31.89 tff(10872,plain,
% 48.77/31.89 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB67)) | (~v130(constB67, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB67)) | (~v130(constB67, bitIndex0)))),
% 48.77/31.89 inference(rewrite,[status(thm)],[])).
% 48.77/31.89 tff(10873,plain,
% 48.77/31.89 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB67)) | (~v130(constB67, bitIndex0)))),
% 48.77/31.89 inference(quant_inst,[status(thm)],[])).
% 48.77/31.89 tff(10874,plain,
% 48.77/31.89 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB67)) | (~v130(constB67, bitIndex0))),
% 48.77/31.89 inference(modus_ponens,[status(thm)],[10873, 10872])).
% 48.77/31.89 tff(10875,plain,
% 48.77/31.89 (~v130(constB67, bitIndex0)),
% 48.77/31.89 inference(unit_resolution,[status(thm)],[10874, 1492, 10711])).
% 48.77/31.89 tff(10876,plain,
% 48.77/31.89 (((~![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))),
% 48.77/31.89 inference(rewrite,[status(thm)],[])).
% 48.77/31.89 tff(10877,plain,
% 48.77/31.89 ((v26(constB67) | v130(constB67, bitIndex0) | (~v127(constB67, bitIndex0))) <=> ((~v127(constB67, bitIndex0)) | v26(constB67) | v130(constB67, bitIndex0))),
% 48.77/31.89 inference(rewrite,[status(thm)],[])).
% 48.77/31.89 tff(10878,plain,
% 48.77/31.89 (((~![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)))),
% 48.77/31.89 inference(monotonicity,[status(thm)],[10877])).
% 48.77/31.89 tff(10879,plain,
% 48.77/31.89 (((~![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))),
% 48.77/31.89 inference(transitivity,[status(thm)],[10878, 10876])).
% 48.77/31.89 tff(10880,plain,
% 48.77/31.89 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB67) | v130(constB67, bitIndex0) | (~v127(constB67, bitIndex0)))),
% 48.77/31.89 inference(quant_inst,[status(thm)],[])).
% 48.77/31.89 tff(10881,plain,
% 48.77/31.89 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB67, bitIndex0)) | v26(constB67) | v130(constB67, bitIndex0)),
% 48.77/31.89 inference(modus_ponens,[status(thm)],[10880, 10879])).
% 48.77/31.89 tff(10882,plain,
% 48.77/31.89 ((~v127(constB67, bitIndex0)) | v130(constB67, bitIndex0)),
% 48.77/31.89 inference(unit_resolution,[status(thm)],[10881, 524, 10739])).
% 48.77/31.89 tff(10883,plain,
% 48.77/31.89 (~v127(constB67, bitIndex0)),
% 48.77/31.89 inference(unit_resolution,[status(thm)],[10882, 10875])).
% 48.77/31.89 tff(10884,plain,
% 48.77/31.89 (((~![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)))),
% 48.77/31.89 inference(rewrite,[status(thm)],[])).
% 48.77/31.89 tff(10885,plain,
% 48.77/31.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB67, constB68)) | v127(constB67, bitIndex0) | (~v129(constB68, bitIndex0)))),
% 48.77/31.89 inference(quant_inst,[status(thm)],[])).
% 48.77/31.89 tff(10886,plain,
% 48.77/31.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB67, constB68)) | v127(constB67, bitIndex0) | (~v129(constB68, bitIndex0))),
% 48.77/31.89 inference(modus_ponens,[status(thm)],[10885, 10884])).
% 48.77/31.89 tff(10887,plain,
% 48.77/31.89 (v127(constB67, bitIndex0) | (~v129(constB68, bitIndex0))),
% 48.77/31.89 inference(unit_resolution,[status(thm)],[10886, 542, 10754])).
% 48.77/31.89 tff(10888,plain,
% 48.77/31.89 (~v129(constB68, bitIndex0)),
% 48.77/31.89 inference(unit_resolution,[status(thm)],[10887, 10883])).
% 48.77/31.89 tff(10889,plain,
% 48.77/31.89 (((~![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)))),
% 48.77/31.89 inference(rewrite,[status(thm)],[])).
% 48.77/31.89 tff(10890,plain,
% 48.77/31.89 (((~v90(constB68, bitIndex0)) | (~v100(constB68)) | v129(constB68, bitIndex0)) <=> ((~v90(constB68, bitIndex0)) | v129(constB68, bitIndex0) | (~v100(constB68)))),
% 48.77/31.89 inference(rewrite,[status(thm)],[])).
% 48.77/31.89 tff(10891,plain,
% 48.77/31.89 (((~![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))))),
% 48.77/31.89 inference(monotonicity,[status(thm)],[10890])).
% 48.77/31.89 tff(10892,plain,
% 48.77/31.89 (((~![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)))),
% 48.77/31.89 inference(transitivity,[status(thm)],[10891, 10889])).
% 48.77/31.89 tff(10893,plain,
% 48.77/31.89 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB68, bitIndex0)) | (~v100(constB68)) | v129(constB68, bitIndex0))),
% 48.77/31.89 inference(quant_inst,[status(thm)],[])).
% 48.77/31.89 tff(10894,plain,
% 48.77/31.89 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB68, bitIndex0)) | v129(constB68, bitIndex0) | (~v100(constB68))),
% 48.77/31.89 inference(modus_ponens,[status(thm)],[10893, 10892])).
% 48.77/31.89 tff(10895,plain,
% 48.77/31.89 ((~v90(constB68, bitIndex0)) | (~v100(constB68))),
% 48.77/31.89 inference(unit_resolution,[status(thm)],[10894, 557, 10888])).
% 48.77/31.89 tff(10896,plain,
% 48.77/31.89 (~v90(constB68, bitIndex0)),
% 48.77/31.89 inference(unit_resolution,[status(thm)],[10895, 10788])).
% 48.77/31.89 tff(10897,plain,
% 48.77/31.89 (((~![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)))),
% 48.77/31.89 inference(rewrite,[status(thm)],[])).
% 48.77/31.89 tff(10898,plain,
% 48.77/31.89 (((~nextState(constB68, constB69)) | v90(constB68, bitIndex0) | v100(constB69) | (~v90(constB69, bitIndex0))) <=> (v90(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, bitIndex0)))),
% 48.77/31.89 inference(rewrite,[status(thm)],[])).
% 48.77/31.89 tff(10899,plain,
% 48.77/31.89 (((~![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))))),
% 48.77/31.89 inference(monotonicity,[status(thm)],[10898])).
% 48.77/31.89 tff(10900,plain,
% 48.77/31.89 (((~![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)))),
% 48.77/31.89 inference(transitivity,[status(thm)],[10899, 10897])).
% 48.77/31.89 tff(10901,plain,
% 48.77/31.89 ((~![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)))),
% 48.77/31.89 inference(quant_inst,[status(thm)],[])).
% 48.77/31.89 tff(10902,plain,
% 48.77/31.89 ((~![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))),
% 48.77/31.89 inference(modus_ponens,[status(thm)],[10901, 10900])).
% 48.77/31.89 tff(10903,plain,
% 48.77/31.89 (v90(constB68, bitIndex0) | v100(constB69) | (~v90(constB69, bitIndex0))),
% 48.77/31.89 inference(unit_resolution,[status(thm)],[10902, 123, 10819])).
% 48.77/31.89 tff(10904,plain,
% 48.77/31.89 (v90(constB68, bitIndex0) | (~v90(constB69, bitIndex0))),
% 48.77/31.89 inference(unit_resolution,[status(thm)],[10903, 10831])).
% 48.77/31.89 tff(10905,plain,
% 48.77/31.89 (~v90(constB69, bitIndex0)),
% 48.77/31.89 inference(unit_resolution,[status(thm)],[10904, 10896])).
% 48.77/31.89 tff(10906,plain,
% 48.77/31.89 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB69, bitIndex0) | (~v90(constB69, bitIndex1)) | v90(constB69, bitIndex2) | v121(constB69))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB69, bitIndex0) | (~v90(constB69, bitIndex1)) | v90(constB69, bitIndex2) | v121(constB69))),
% 48.77/31.89 inference(rewrite,[status(thm)],[])).
% 48.77/31.89 tff(10907,plain,
% 48.77/31.89 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB69, bitIndex0) | (~v90(constB69, bitIndex1)) | v90(constB69, bitIndex2) | v121(constB69))),
% 48.77/31.89 inference(quant_inst,[status(thm)],[])).
% 48.77/31.89 tff(10908,plain,
% 48.77/31.89 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB69, bitIndex0) | (~v90(constB69, bitIndex1)) | v90(constB69, bitIndex2) | v121(constB69)),
% 48.77/31.89 inference(modus_ponens,[status(thm)],[10907, 10906])).
% 48.77/31.89 tff(10909,plain,
% 48.77/31.89 (v121(constB69)),
% 48.77/31.89 inference(unit_resolution,[status(thm)],[10908, 1551, 10905, 10871, 10840])).
% 48.77/31.89 tff(10910,plain,
% 48.77/31.89 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB69) | (~v121(constB69)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB69) | (~v121(constB69)))),
% 48.77/31.89 inference(rewrite,[status(thm)],[])).
% 48.77/31.89 tff(10911,plain,
% 48.77/31.89 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB69) | (~v121(constB69)))),
% 48.77/31.89 inference(quant_inst,[status(thm)],[])).
% 48.77/31.89 tff(10912,plain,
% 48.77/31.89 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB69) | (~v121(constB69))),
% 48.77/31.89 inference(modus_ponens,[status(thm)],[10911, 10910])).
% 48.77/31.89 tff(10913,plain,
% 48.77/31.89 (v117(constB69)),
% 48.77/31.89 inference(unit_resolution,[status(thm)],[10912, 1562, 10909])).
% 48.77/31.89 tff(10914,plain,
% 48.77/31.89 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB69) | (~v117(constB69)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB69) | (~v117(constB69)))),
% 48.77/31.89 inference(rewrite,[status(thm)],[])).
% 48.77/31.89 tff(10915,plain,
% 48.77/31.89 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB69) | (~v117(constB69)))),
% 48.77/31.89 inference(quant_inst,[status(thm)],[])).
% 48.77/31.89 tff(10916,plain,
% 48.77/31.89 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB69) | (~v117(constB69))),
% 48.77/31.89 inference(modus_ponens,[status(thm)],[10915, 10914])).
% 48.77/31.89 tff(10917,plain,
% 48.77/31.89 (v116(constB69)),
% 48.77/31.89 inference(unit_resolution,[status(thm)],[10916, 177, 10913])).
% 48.77/31.89 tff(10918,plain,
% 48.77/31.89 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB69) | (~v116(constB69)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB69) | (~v116(constB69)))),
% 48.77/31.89 inference(rewrite,[status(thm)],[])).
% 48.77/31.89 tff(10919,plain,
% 48.77/31.89 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB69) | (~v116(constB69)))),
% 48.77/31.89 inference(quant_inst,[status(thm)],[])).
% 48.77/31.89 tff(10920,plain,
% 48.77/31.89 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB69) | (~v116(constB69))),
% 48.77/31.89 inference(modus_ponens,[status(thm)],[10919, 10918])).
% 48.77/31.89 tff(10921,plain,
% 48.77/31.89 (v115(constB69)),
% 48.77/31.89 inference(unit_resolution,[status(thm)],[10920, 188, 10917])).
% 48.77/31.89 tff(10922,plain,
% 48.77/31.89 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB69) | (~v115(constB69)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB69) | (~v115(constB69)))),
% 48.77/31.89 inference(rewrite,[status(thm)],[])).
% 48.77/31.89 tff(10923,plain,
% 48.77/31.89 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB69) | (~v115(constB69)))),
% 48.77/31.89 inference(quant_inst,[status(thm)],[])).
% 48.77/31.89 tff(10924,plain,
% 48.77/31.89 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB69) | (~v115(constB69))),
% 48.77/31.89 inference(modus_ponens,[status(thm)],[10923, 10922])).
% 48.77/31.89 tff(10925,plain,
% 48.77/31.89 (v114(constB69)),
% 48.77/31.89 inference(unit_resolution,[status(thm)],[10924, 199, 10921])).
% 48.77/31.89 tff(10926,plain,
% 48.77/31.89 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB69) | (~v114(constB69)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB69) | (~v114(constB69)))),
% 48.77/31.89 inference(rewrite,[status(thm)],[])).
% 48.77/31.89 tff(10927,plain,
% 48.77/31.89 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB69) | (~v114(constB69)))),
% 48.77/31.89 inference(quant_inst,[status(thm)],[])).
% 48.77/31.89 tff(10928,plain,
% 48.77/31.89 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB69) | (~v114(constB69))),
% 48.77/31.89 inference(modus_ponens,[status(thm)],[10927, 10926])).
% 48.77/31.89 tff(10929,plain,
% 48.77/31.89 (v113(constB69)),
% 48.77/31.89 inference(unit_resolution,[status(thm)],[10928, 210, 10925])).
% 48.77/31.89 tff(10930,assumption,(v26(constB69)), introduced(assumption)).
% 48.77/31.89 tff(10931,plain,
% 48.77/31.89 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB69))),
% 48.77/31.89 inference(quant_inst,[status(thm)],[])).
% 48.77/31.89 tff(10932,plain,
% 48.77/31.89 ($false),
% 48.77/31.89 inference(unit_resolution,[status(thm)],[10931, 16, 10930])).
% 48.77/31.89 tff(10933,plain,(~v26(constB69)), inference(lemma,lemma(discharge,[]))).
% 48.77/31.89 tff(10934,plain,
% 48.77/31.89 (((~![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)))),
% 48.77/31.89 inference(rewrite,[status(thm)],[])).
% 48.77/31.89 tff(10935,plain,
% 48.77/31.89 ((v26(constB69) | (~v113(constB69)) | v112(constB69)) <=> (v26(constB69) | v112(constB69) | (~v113(constB69)))),
% 48.77/31.89 inference(rewrite,[status(thm)],[])).
% 48.77/31.89 tff(10936,plain,
% 48.77/31.89 (((~![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))))),
% 48.77/31.89 inference(monotonicity,[status(thm)],[10935])).
% 48.77/31.89 tff(10937,plain,
% 48.77/31.89 (((~![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)))),
% 48.77/31.89 inference(transitivity,[status(thm)],[10936, 10934])).
% 48.77/31.89 tff(10938,plain,
% 48.77/31.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB69) | (~v113(constB69)) | v112(constB69))),
% 48.77/31.89 inference(quant_inst,[status(thm)],[])).
% 48.77/31.89 tff(10939,plain,
% 48.77/31.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB69) | v112(constB69) | (~v113(constB69))),
% 48.77/31.89 inference(modus_ponens,[status(thm)],[10938, 10937])).
% 48.77/31.89 tff(10940,plain,
% 48.77/31.89 (v112(constB69) | (~v113(constB69))),
% 48.77/31.89 inference(unit_resolution,[status(thm)],[10939, 224, 10933])).
% 48.77/31.89 tff(10941,plain,
% 48.77/31.89 (v112(constB69)),
% 48.77/31.89 inference(unit_resolution,[status(thm)],[10940, 10929])).
% 48.77/31.89 tff(10942,plain,
% 48.77/31.89 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB69) | (~v112(constB69)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB69) | (~v112(constB69)))),
% 48.77/31.89 inference(rewrite,[status(thm)],[])).
% 48.77/31.89 tff(10943,plain,
% 48.77/31.89 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB69) | (~v112(constB69)))),
% 48.77/31.89 inference(quant_inst,[status(thm)],[])).
% 48.77/31.89 tff(10944,plain,
% 48.77/31.89 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB69) | (~v112(constB69))),
% 48.77/31.89 inference(modus_ponens,[status(thm)],[10943, 10942])).
% 48.77/31.89 tff(10945,plain,
% 48.77/31.89 (v108(constB69)),
% 48.77/31.89 inference(unit_resolution,[status(thm)],[10944, 236, 10941])).
% 48.77/31.89 tff(10946,plain,
% 48.77/31.89 (nextState(constB69, constB70) <=> nextState(constB69, constB70)),
% 48.77/31.89 inference(rewrite,[status(thm)],[])).
% 48.77/31.89 tff(10947,axiom,(nextState(constB69, constB70)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_69_1')).
% 48.77/31.89 tff(10948,plain,
% 48.77/31.89 (nextState(constB69, constB70)),
% 48.77/31.89 inference(modus_ponens,[status(thm)],[10947, 10946])).
% 48.77/31.89 tff(10949,plain,
% 48.77/31.89 (((~![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)))),
% 48.77/31.89 inference(rewrite,[status(thm)],[])).
% 48.77/31.89 tff(10950,plain,
% 48.77/31.89 (((~nextState(constB69, constB70)) | (~v108(constB69)) | v110(constB70)) <=> ((~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69)))),
% 48.77/31.89 inference(rewrite,[status(thm)],[])).
% 48.77/31.89 tff(10951,plain,
% 48.77/31.89 (((~![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))))),
% 48.77/31.89 inference(monotonicity,[status(thm)],[10950])).
% 48.77/31.89 tff(10952,plain,
% 48.77/31.89 (((~![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)))),
% 48.77/31.89 inference(transitivity,[status(thm)],[10951, 10949])).
% 48.77/31.89 tff(10953,plain,
% 48.77/31.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB69, constB70)) | (~v108(constB69)) | v110(constB70))),
% 48.77/31.89 inference(quant_inst,[status(thm)],[])).
% 48.77/31.89 tff(10954,plain,
% 48.77/31.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69))),
% 48.77/31.89 inference(modus_ponens,[status(thm)],[10953, 10952])).
% 48.77/31.89 tff(10955,plain,
% 48.77/31.89 (v110(constB70) | (~v108(constB69))),
% 48.77/31.89 inference(unit_resolution,[status(thm)],[10954, 253, 10948])).
% 48.77/31.89 tff(10956,plain,
% 48.77/31.89 (v110(constB70)),
% 48.77/31.89 inference(unit_resolution,[status(thm)],[10955, 10945])).
% 48.77/31.89 tff(10957,plain,
% 48.77/31.89 (((~![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)))),
% 48.77/31.89 inference(rewrite,[status(thm)],[])).
% 48.77/31.89 tff(10958,plain,
% 48.77/31.89 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB69) | (~nextState(constB69, constB70)) | (~v104(constB70)))),
% 48.77/31.89 inference(quant_inst,[status(thm)],[])).
% 48.77/31.89 tff(10959,plain,
% 48.77/31.89 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB69) | (~nextState(constB69, constB70)) | (~v104(constB70))),
% 48.77/31.89 inference(modus_ponens,[status(thm)],[10958, 10957])).
% 48.77/31.89 tff(10960,plain,
% 48.77/31.89 (~v104(constB70)),
% 48.77/31.89 inference(unit_resolution,[status(thm)],[10959, 271, 10948, 10816])).
% 48.77/31.89 tff(10961,plain,
% 48.77/31.89 (((~![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))),
% 48.77/31.89 inference(rewrite,[status(thm)],[])).
% 48.77/31.89 tff(10962,plain,
% 48.77/31.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB69, constB70)) | v102(constB70) | v104(constB70))),
% 48.77/31.89 inference(quant_inst,[status(thm)],[])).
% 48.77/31.89 tff(10963,plain,
% 48.77/31.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB69, constB70)) | v102(constB70) | v104(constB70)),
% 48.77/31.89 inference(modus_ponens,[status(thm)],[10962, 10961])).
% 48.77/31.89 tff(10964,plain,
% 48.77/31.89 (v102(constB70) | v104(constB70)),
% 48.77/31.89 inference(unit_resolution,[status(thm)],[10963, 285, 10948])).
% 48.77/31.89 tff(10965,plain,
% 48.77/31.89 (v102(constB70)),
% 48.77/31.89 inference(unit_resolution,[status(thm)],[10964, 10960])).
% 48.77/31.89 tff(10966,plain,
% 48.77/31.89 (v1(constB70) <=> v1(constB70)),
% 48.77/31.89 inference(rewrite,[status(thm)],[])).
% 48.77/31.89 tff(10967,axiom,(v1(constB70)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_70_1')).
% 48.77/31.89 tff(10968,plain,
% 48.77/31.89 (v1(constB70)),
% 48.77/31.89 inference(modus_ponens,[status(thm)],[10967, 10966])).
% 48.77/31.89 tff(10969,plain,
% 48.77/31.89 (((~![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)))),
% 48.77/31.89 inference(rewrite,[status(thm)],[])).
% 48.77/31.89 tff(10970,plain,
% 48.77/31.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB69, constB70)) | v101(constB70) | (~v102(constB70)) | (~v1(constB70)))),
% 48.77/31.89 inference(quant_inst,[status(thm)],[])).
% 48.77/31.89 tff(10971,plain,
% 48.77/31.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB69, constB70)) | v101(constB70) | (~v102(constB70)) | (~v1(constB70))),
% 48.77/31.89 inference(modus_ponens,[status(thm)],[10970, 10969])).
% 48.77/31.89 tff(10972,plain,
% 48.77/31.89 (v101(constB70) | (~v102(constB70))),
% 48.77/31.89 inference(unit_resolution,[status(thm)],[10971, 303, 10948, 10968])).
% 48.77/31.89 tff(10973,plain,
% 48.77/31.89 (v101(constB70)),
% 48.77/31.89 inference(unit_resolution,[status(thm)],[10972, 10965])).
% 48.77/31.89 tff(10974,plain,
% 48.77/31.89 (((~![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)))),
% 48.77/31.89 inference(rewrite,[status(thm)],[])).
% 48.77/31.89 tff(10975,plain,
% 48.77/31.89 (((~nextState(constB69, constB70)) | (~v101(constB70)) | (~v110(constB70)) | v100(constB70)) <=> ((~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70)))),
% 48.77/31.89 inference(rewrite,[status(thm)],[])).
% 48.77/31.89 tff(10976,plain,
% 48.77/31.89 (((~![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))))),
% 48.77/31.89 inference(monotonicity,[status(thm)],[10975])).
% 48.77/31.90 tff(10977,plain,
% 48.77/31.90 (((~![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)))),
% 48.77/31.90 inference(transitivity,[status(thm)],[10976, 10974])).
% 48.77/31.90 tff(10978,plain,
% 48.77/31.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB69, constB70)) | (~v101(constB70)) | (~v110(constB70)) | v100(constB70))),
% 48.77/31.90 inference(quant_inst,[status(thm)],[])).
% 48.77/31.90 tff(10979,plain,
% 48.77/31.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70))),
% 48.77/31.90 inference(modus_ponens,[status(thm)],[10978, 10977])).
% 48.77/31.90 tff(10980,plain,
% 48.77/31.90 (v100(constB70) | (~v101(constB70)) | (~v110(constB70))),
% 48.77/31.90 inference(unit_resolution,[status(thm)],[10979, 318, 10948])).
% 48.77/31.90 tff(10981,plain,
% 48.77/31.90 (v100(constB70) | (~v110(constB70))),
% 48.77/31.90 inference(unit_resolution,[status(thm)],[10980, 10973])).
% 48.77/31.90 tff(10982,plain,
% 48.77/31.90 (v100(constB70)),
% 48.77/31.90 inference(unit_resolution,[status(thm)],[10981, 10956])).
% 48.77/31.90 tff(10983,plain,
% 48.77/31.90 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB69)) | (~v130(constB69, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB69)) | (~v130(constB69, bitIndex2)))),
% 48.77/31.90 inference(rewrite,[status(thm)],[])).
% 48.77/31.90 tff(10984,plain,
% 48.77/31.90 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB69)) | (~v130(constB69, bitIndex2)))),
% 48.77/31.90 inference(quant_inst,[status(thm)],[])).
% 48.77/31.90 tff(10985,plain,
% 48.77/31.90 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB69)) | (~v130(constB69, bitIndex2))),
% 48.77/31.90 inference(modus_ponens,[status(thm)],[10984, 10983])).
% 48.77/31.90 tff(10986,plain,
% 48.77/31.90 (~v130(constB69, bitIndex2)),
% 48.77/31.90 inference(unit_resolution,[status(thm)],[10985, 1645, 10909])).
% 48.77/31.90 tff(10987,plain,
% 48.77/31.90 (((~![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))),
% 48.77/31.90 inference(rewrite,[status(thm)],[])).
% 48.77/31.90 tff(10988,plain,
% 48.77/31.90 ((v26(constB69) | v130(constB69, bitIndex2) | (~v127(constB69, bitIndex2))) <=> ((~v127(constB69, bitIndex2)) | v26(constB69) | v130(constB69, bitIndex2))),
% 48.77/31.90 inference(rewrite,[status(thm)],[])).
% 48.77/31.90 tff(10989,plain,
% 48.77/31.90 (((~![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)))),
% 48.77/31.90 inference(monotonicity,[status(thm)],[10988])).
% 48.77/31.90 tff(10990,plain,
% 48.77/31.90 (((~![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))),
% 48.77/31.90 inference(transitivity,[status(thm)],[10989, 10987])).
% 48.77/31.90 tff(10991,plain,
% 48.77/31.90 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB69) | v130(constB69, bitIndex2) | (~v127(constB69, bitIndex2)))),
% 48.77/31.90 inference(quant_inst,[status(thm)],[])).
% 48.77/31.90 tff(10992,plain,
% 48.77/31.90 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB69, bitIndex2)) | v26(constB69) | v130(constB69, bitIndex2)),
% 48.77/31.90 inference(modus_ponens,[status(thm)],[10991, 10990])).
% 48.77/31.90 tff(10993,plain,
% 48.77/31.90 ((~v127(constB69, bitIndex2)) | v130(constB69, bitIndex2)),
% 48.77/31.90 inference(unit_resolution,[status(thm)],[10992, 1210, 10933])).
% 48.77/31.90 tff(10994,plain,
% 48.77/31.90 (~v127(constB69, bitIndex2)),
% 48.77/31.90 inference(unit_resolution,[status(thm)],[10993, 10986])).
% 48.77/31.90 tff(10995,plain,
% 48.77/31.90 (((~![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)))),
% 48.77/31.90 inference(rewrite,[status(thm)],[])).
% 48.77/31.90 tff(10996,plain,
% 48.77/31.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB69, constB70)) | v127(constB69, bitIndex2) | (~v129(constB70, bitIndex2)))),
% 48.77/31.90 inference(quant_inst,[status(thm)],[])).
% 48.77/31.90 tff(10997,plain,
% 48.77/31.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB69, constB70)) | v127(constB69, bitIndex2) | (~v129(constB70, bitIndex2))),
% 48.77/31.90 inference(modus_ponens,[status(thm)],[10996, 10995])).
% 48.77/31.90 tff(10998,plain,
% 48.77/31.90 (v127(constB69, bitIndex2) | (~v129(constB70, bitIndex2))),
% 48.77/31.90 inference(unit_resolution,[status(thm)],[10997, 1243, 10948])).
% 48.77/31.90 tff(10999,plain,
% 48.77/31.90 (~v129(constB70, bitIndex2)),
% 48.77/31.90 inference(unit_resolution,[status(thm)],[10998, 10994])).
% 48.77/31.90 tff(11000,plain,
% 48.77/31.90 (((~![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)))),
% 48.77/31.90 inference(rewrite,[status(thm)],[])).
% 48.77/31.90 tff(11001,plain,
% 48.77/31.90 (((~v90(constB70, bitIndex2)) | (~v100(constB70)) | v129(constB70, bitIndex2)) <=> ((~v90(constB70, bitIndex2)) | v129(constB70, bitIndex2) | (~v100(constB70)))),
% 48.77/31.90 inference(rewrite,[status(thm)],[])).
% 48.77/31.90 tff(11002,plain,
% 48.77/31.90 (((~![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))))),
% 48.77/31.90 inference(monotonicity,[status(thm)],[11001])).
% 48.77/31.90 tff(11003,plain,
% 48.77/31.90 (((~![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)))),
% 48.77/31.90 inference(transitivity,[status(thm)],[11002, 11000])).
% 48.77/31.90 tff(11004,plain,
% 48.77/31.90 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB70, bitIndex2)) | (~v100(constB70)) | v129(constB70, bitIndex2))),
% 48.77/31.90 inference(quant_inst,[status(thm)],[])).
% 48.77/31.90 tff(11005,plain,
% 48.77/31.90 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB70, bitIndex2)) | v129(constB70, bitIndex2) | (~v100(constB70))),
% 48.77/31.90 inference(modus_ponens,[status(thm)],[11004, 11003])).
% 48.77/31.90 tff(11006,plain,
% 48.77/31.90 ((~v90(constB70, bitIndex2)) | (~v100(constB70))),
% 48.77/31.90 inference(unit_resolution,[status(thm)],[11005, 1258, 10999])).
% 48.77/31.90 tff(11007,plain,
% 48.77/31.90 (~v90(constB70, bitIndex2)),
% 48.77/31.90 inference(unit_resolution,[status(thm)],[11006, 10982])).
% 48.77/31.90 tff(11008,plain,
% 48.77/31.90 ((~v1(constB71)) <=> (~v1(constB71))),
% 48.77/31.90 inference(rewrite,[status(thm)],[])).
% 48.77/31.90 tff(11009,axiom,(~v1(constB71)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_71_1_1')).
% 48.77/31.90 tff(11010,plain,
% 48.77/31.90 (~v1(constB71)),
% 48.77/31.90 inference(modus_ponens,[status(thm)],[11009, 11008])).
% 48.77/31.90 tff(11011,plain,
% 48.77/31.90 (nextState(constB70, constB71) <=> nextState(constB70, constB71)),
% 48.77/31.90 inference(rewrite,[status(thm)],[])).
% 48.77/31.90 tff(11012,axiom,(nextState(constB70, constB71)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_70_1')).
% 48.77/31.90 tff(11013,plain,
% 48.77/31.90 (nextState(constB70, constB71)),
% 48.77/31.90 inference(modus_ponens,[status(thm)],[11012, 11011])).
% 48.77/31.90 tff(11014,plain,
% 48.77/31.90 (((~![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)))),
% 48.77/31.90 inference(rewrite,[status(thm)],[])).
% 48.77/31.90 tff(11015,plain,
% 48.77/31.90 (((~nextState(constB70, constB71)) | (~v101(constB71)) | v1(constB71)) <=> (v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71)))),
% 48.77/31.90 inference(rewrite,[status(thm)],[])).
% 48.77/31.90 tff(11016,plain,
% 48.77/31.90 (((~![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))))),
% 48.77/31.90 inference(monotonicity,[status(thm)],[11015])).
% 48.77/31.90 tff(11017,plain,
% 48.77/31.90 (((~![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)))),
% 48.77/31.90 inference(transitivity,[status(thm)],[11016, 11014])).
% 48.77/31.90 tff(11018,plain,
% 48.77/31.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB70, constB71)) | (~v101(constB71)) | v1(constB71))),
% 48.77/31.90 inference(quant_inst,[status(thm)],[])).
% 48.77/31.90 tff(11019,plain,
% 48.77/31.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71))),
% 48.77/31.90 inference(modus_ponens,[status(thm)],[11018, 11017])).
% 48.77/31.90 tff(11020,plain,
% 48.77/31.90 (~v101(constB71)),
% 48.77/31.90 inference(unit_resolution,[status(thm)],[11019, 49, 11013, 11010])).
% 48.77/31.90 tff(11021,plain,
% 48.77/31.90 (((~![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)))),
% 48.77/31.90 inference(rewrite,[status(thm)],[])).
% 48.77/31.90 tff(11022,plain,
% 48.77/31.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB70, constB71)) | v101(constB71) | (~v100(constB71)))),
% 48.77/31.90 inference(quant_inst,[status(thm)],[])).
% 48.77/31.90 tff(11023,plain,
% 48.77/31.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB70, constB71)) | v101(constB71) | (~v100(constB71))),
% 48.77/31.90 inference(modus_ponens,[status(thm)],[11022, 11021])).
% 48.77/31.90 tff(11024,plain,
% 48.77/31.90 (v101(constB71) | (~v100(constB71))),
% 48.77/31.90 inference(unit_resolution,[status(thm)],[11023, 66, 11013])).
% 48.77/31.90 tff(11025,plain,
% 48.77/31.90 (~v100(constB71)),
% 48.77/31.90 inference(unit_resolution,[status(thm)],[11024, 11020])).
% 48.77/31.90 tff(11026,plain,
% 48.77/31.90 (((~![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)))),
% 48.77/31.90 inference(rewrite,[status(thm)],[])).
% 48.77/31.90 tff(11027,plain,
% 48.77/31.90 (((~nextState(constB70, constB71)) | v90(constB70, bitIndex2) | v100(constB71) | (~v90(constB71, bitIndex2))) <=> (v90(constB70, bitIndex2) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, bitIndex2)))),
% 48.77/31.90 inference(rewrite,[status(thm)],[])).
% 48.77/31.90 tff(11028,plain,
% 48.77/31.90 (((~![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))))),
% 48.77/31.90 inference(monotonicity,[status(thm)],[11027])).
% 48.77/31.90 tff(11029,plain,
% 48.77/31.90 (((~![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)))),
% 48.77/31.90 inference(transitivity,[status(thm)],[11028, 11026])).
% 48.77/31.90 tff(11030,plain,
% 48.77/31.90 ((~![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)))),
% 48.77/31.90 inference(quant_inst,[status(thm)],[])).
% 48.77/31.90 tff(11031,plain,
% 48.77/31.90 ((~![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))),
% 48.77/31.90 inference(modus_ponens,[status(thm)],[11030, 11029])).
% 48.77/31.90 tff(11032,plain,
% 48.77/31.90 (v90(constB70, bitIndex2) | v100(constB71) | (~v90(constB71, bitIndex2))),
% 48.77/31.90 inference(unit_resolution,[status(thm)],[11031, 81, 11013])).
% 48.77/31.90 tff(11033,plain,
% 48.77/31.90 (v90(constB70, bitIndex2) | (~v90(constB71, bitIndex2))),
% 48.77/31.90 inference(unit_resolution,[status(thm)],[11032, 11025])).
% 48.77/31.90 tff(11034,plain,
% 48.77/31.90 (~v90(constB71, bitIndex2)),
% 48.77/31.90 inference(unit_resolution,[status(thm)],[11033, 11007])).
% 48.77/31.90 tff(11035,plain,
% 48.77/31.90 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB71, bitIndex2) | (~v88(constB71, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB71, bitIndex2) | (~v88(constB71, bitIndex2)))),
% 48.77/31.90 inference(rewrite,[status(thm)],[])).
% 48.77/31.90 tff(11036,plain,
% 48.77/31.90 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB71, bitIndex2) | (~v88(constB71, bitIndex2)))),
% 48.77/31.90 inference(quant_inst,[status(thm)],[])).
% 48.77/31.90 tff(11037,plain,
% 48.77/31.90 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB71, bitIndex2) | (~v88(constB71, bitIndex2))),
% 48.77/31.90 inference(modus_ponens,[status(thm)],[11036, 11035])).
% 48.77/31.90 tff(11038,plain,
% 48.77/31.90 (~v88(constB71, bitIndex2)),
% 48.77/31.90 inference(unit_resolution,[status(thm)],[11037, 8769, 11034])).
% 48.77/31.90 tff(11039,plain,
% 48.77/31.90 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB69)) | v130(constB69, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB69)) | v130(constB69, bitIndex1))),
% 48.77/31.90 inference(rewrite,[status(thm)],[])).
% 48.77/31.90 tff(11040,plain,
% 48.77/31.90 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB69)) | v130(constB69, bitIndex1))),
% 48.77/31.90 inference(quant_inst,[status(thm)],[])).
% 48.77/31.90 tff(11041,plain,
% 48.77/31.90 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB69)) | v130(constB69, bitIndex1)),
% 48.77/31.90 inference(modus_ponens,[status(thm)],[11040, 11039])).
% 48.77/31.90 tff(11042,plain,
% 48.77/31.90 (v130(constB69, bitIndex1)),
% 48.77/31.90 inference(unit_resolution,[status(thm)],[11041, 1707, 10909])).
% 48.77/31.90 tff(11043,plain,
% 48.77/31.90 (((~![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))),
% 48.77/31.90 inference(rewrite,[status(thm)],[])).
% 48.77/31.90 tff(11044,plain,
% 48.77/31.90 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB69) | (~v130(constB69, bitIndex1)) | v127(constB69, bitIndex1))),
% 48.77/31.90 inference(quant_inst,[status(thm)],[])).
% 48.77/31.90 tff(11045,plain,
% 48.77/31.90 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB69) | (~v130(constB69, bitIndex1)) | v127(constB69, bitIndex1)),
% 48.77/31.90 inference(modus_ponens,[status(thm)],[11044, 11043])).
% 48.77/31.90 tff(11046,plain,
% 48.77/31.90 ((~v130(constB69, bitIndex1)) | v127(constB69, bitIndex1)),
% 48.77/31.90 inference(unit_resolution,[status(thm)],[11045, 681, 10933])).
% 48.77/31.90 tff(11047,plain,
% 48.77/31.90 (v127(constB69, bitIndex1)),
% 48.77/31.90 inference(unit_resolution,[status(thm)],[11046, 11042])).
% 48.77/31.90 tff(11048,plain,
% 48.77/31.90 (((~![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))),
% 48.77/31.90 inference(rewrite,[status(thm)],[])).
% 48.77/31.90 tff(11049,plain,
% 48.77/31.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB69, constB70)) | (~v127(constB69, bitIndex1)) | v129(constB70, bitIndex1))),
% 48.77/31.90 inference(quant_inst,[status(thm)],[])).
% 48.77/31.90 tff(11050,plain,
% 48.77/31.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB69, constB70)) | (~v127(constB69, bitIndex1)) | v129(constB70, bitIndex1)),
% 48.77/31.90 inference(modus_ponens,[status(thm)],[11049, 11048])).
% 48.77/31.90 tff(11051,plain,
% 48.77/31.90 ((~v127(constB69, bitIndex1)) | v129(constB70, bitIndex1)),
% 48.77/31.90 inference(unit_resolution,[status(thm)],[11050, 696, 10948])).
% 48.77/31.90 tff(11052,plain,
% 48.77/31.90 (v129(constB70, bitIndex1)),
% 48.77/31.90 inference(unit_resolution,[status(thm)],[11051, 11047])).
% 48.77/31.90 tff(11053,plain,
% 48.77/31.90 (((~![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)))),
% 48.77/31.90 inference(rewrite,[status(thm)],[])).
% 48.77/31.90 tff(11054,plain,
% 48.77/31.90 ((v90(constB70, bitIndex1) | (~v100(constB70)) | (~v129(constB70, bitIndex1))) <=> (v90(constB70, bitIndex1) | (~v129(constB70, bitIndex1)) | (~v100(constB70)))),
% 48.77/31.90 inference(rewrite,[status(thm)],[])).
% 48.77/31.90 tff(11055,plain,
% 48.77/31.90 (((~![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))))),
% 48.77/31.90 inference(monotonicity,[status(thm)],[11054])).
% 48.77/31.90 tff(11056,plain,
% 48.77/31.90 (((~![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)))),
% 48.77/31.90 inference(transitivity,[status(thm)],[11055, 11053])).
% 48.77/31.90 tff(11057,plain,
% 48.77/31.90 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB70, bitIndex1) | (~v100(constB70)) | (~v129(constB70, bitIndex1)))),
% 48.77/31.90 inference(quant_inst,[status(thm)],[])).
% 48.77/31.90 tff(11058,plain,
% 48.77/31.90 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB70, bitIndex1) | (~v129(constB70, bitIndex1)) | (~v100(constB70))),
% 48.77/31.90 inference(modus_ponens,[status(thm)],[11057, 11056])).
% 48.77/31.90 tff(11059,plain,
% 48.77/31.90 (v90(constB70, bitIndex1) | (~v100(constB70))),
% 48.77/31.90 inference(unit_resolution,[status(thm)],[11058, 711, 11052])).
% 48.77/31.90 tff(11060,plain,
% 48.77/31.90 (v90(constB70, bitIndex1)),
% 48.77/31.90 inference(unit_resolution,[status(thm)],[11059, 10982])).
% 48.77/31.90 tff(11061,plain,
% 48.77/31.90 (((~![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))),
% 48.77/31.90 inference(rewrite,[status(thm)],[])).
% 48.77/31.90 tff(11062,plain,
% 48.77/31.90 (((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex1)) | v100(constB71) | v90(constB71, bitIndex1)) <=> ((~v90(constB70, bitIndex1)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex1))),
% 48.77/31.90 inference(rewrite,[status(thm)],[])).
% 48.77/31.90 tff(11063,plain,
% 48.77/31.90 (((~![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)))),
% 48.77/31.90 inference(monotonicity,[status(thm)],[11062])).
% 48.77/31.90 tff(11064,plain,
% 48.77/31.90 (((~![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))),
% 48.77/31.90 inference(transitivity,[status(thm)],[11063, 11061])).
% 48.77/31.90 tff(11065,plain,
% 48.77/31.90 ((~![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))),
% 48.77/31.90 inference(quant_inst,[status(thm)],[])).
% 48.77/31.90 tff(11066,plain,
% 48.77/31.90 ((~![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)),
% 48.77/31.90 inference(modus_ponens,[status(thm)],[11065, 11064])).
% 48.77/31.90 tff(11067,plain,
% 48.77/31.90 ((~v90(constB70, bitIndex1)) | v100(constB71) | v90(constB71, bitIndex1)),
% 48.77/31.90 inference(unit_resolution,[status(thm)],[11066, 747, 11013])).
% 48.77/31.90 tff(11068,plain,
% 48.77/31.90 ((~v90(constB70, bitIndex1)) | v90(constB71, bitIndex1)),
% 48.77/31.90 inference(unit_resolution,[status(thm)],[11067, 11025])).
% 48.77/31.90 tff(11069,plain,
% 48.77/31.90 (v90(constB71, bitIndex1)),
% 48.77/31.90 inference(unit_resolution,[status(thm)],[11068, 11060])).
% 48.77/31.90 tff(11070,plain,
% 48.77/31.90 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB71, bitIndex1)) | v88(constB71, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB71, bitIndex1)) | v88(constB71, bitIndex1))),
% 48.77/31.90 inference(rewrite,[status(thm)],[])).
% 48.77/31.90 tff(11071,plain,
% 48.77/31.90 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB71, bitIndex1)) | v88(constB71, bitIndex1))),
% 48.77/31.90 inference(quant_inst,[status(thm)],[])).
% 48.77/31.90 tff(11072,plain,
% 48.77/31.90 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB71, bitIndex1)) | v88(constB71, bitIndex1)),
% 48.77/31.90 inference(modus_ponens,[status(thm)],[11071, 11070])).
% 48.77/31.90 tff(11073,plain,
% 48.77/31.90 (v88(constB71, bitIndex1)),
% 48.77/31.90 inference(unit_resolution,[status(thm)],[11072, 8707, 11069])).
% 48.77/31.90 tff(11074,plain,
% 48.77/31.90 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB69)) | v130(constB69, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB69)) | v130(constB69, bitIndex0))),
% 48.77/31.90 inference(rewrite,[status(thm)],[])).
% 48.77/31.90 tff(11075,plain,
% 48.77/31.90 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB69)) | v130(constB69, bitIndex0))),
% 48.77/31.90 inference(quant_inst,[status(thm)],[])).
% 48.77/31.90 tff(11076,plain,
% 48.77/31.90 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB69)) | v130(constB69, bitIndex0)),
% 48.77/31.90 inference(modus_ponens,[status(thm)],[11075, 11074])).
% 48.77/31.90 tff(11077,plain,
% 48.77/31.90 (v130(constB69, bitIndex0)),
% 48.77/31.90 inference(unit_resolution,[status(thm)],[11076, 1748, 10909])).
% 48.77/31.90 tff(11078,plain,
% 48.77/31.90 (((~![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))),
% 48.77/31.90 inference(rewrite,[status(thm)],[])).
% 48.77/31.90 tff(11079,plain,
% 48.77/31.90 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB69) | (~v130(constB69, bitIndex0)) | v127(constB69, bitIndex0))),
% 48.77/31.90 inference(quant_inst,[status(thm)],[])).
% 48.77/31.90 tff(11080,plain,
% 48.77/31.90 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB69) | (~v130(constB69, bitIndex0)) | v127(constB69, bitIndex0)),
% 48.77/31.90 inference(modus_ponens,[status(thm)],[11079, 11078])).
% 48.77/31.90 tff(11081,plain,
% 48.77/31.90 ((~v130(constB69, bitIndex0)) | v127(constB69, bitIndex0)),
% 48.77/31.90 inference(unit_resolution,[status(thm)],[11080, 926, 10933])).
% 48.77/31.90 tff(11082,plain,
% 48.77/31.90 (v127(constB69, bitIndex0)),
% 48.77/31.90 inference(unit_resolution,[status(thm)],[11081, 11077])).
% 48.77/31.90 tff(11083,plain,
% 48.77/31.90 (((~![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))),
% 48.77/31.90 inference(rewrite,[status(thm)],[])).
% 48.77/31.90 tff(11084,plain,
% 48.77/31.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB69, constB70)) | (~v127(constB69, bitIndex0)) | v129(constB70, bitIndex0))),
% 48.77/31.90 inference(quant_inst,[status(thm)],[])).
% 48.77/31.90 tff(11085,plain,
% 48.77/31.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB69, constB70)) | (~v127(constB69, bitIndex0)) | v129(constB70, bitIndex0)),
% 48.77/31.90 inference(modus_ponens,[status(thm)],[11084, 11083])).
% 48.77/31.90 tff(11086,plain,
% 48.77/31.90 ((~v127(constB69, bitIndex0)) | v129(constB70, bitIndex0)),
% 48.77/31.90 inference(unit_resolution,[status(thm)],[11085, 944, 10948])).
% 48.77/31.90 tff(11087,plain,
% 48.77/31.90 (v129(constB70, bitIndex0)),
% 48.77/31.90 inference(unit_resolution,[status(thm)],[11086, 11082])).
% 48.77/31.90 tff(11088,plain,
% 48.77/31.90 (((~![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)))),
% 48.77/31.90 inference(rewrite,[status(thm)],[])).
% 48.77/31.90 tff(11089,plain,
% 48.77/31.90 ((v90(constB70, bitIndex0) | (~v100(constB70)) | (~v129(constB70, bitIndex0))) <=> (v90(constB70, bitIndex0) | (~v129(constB70, bitIndex0)) | (~v100(constB70)))),
% 48.77/31.90 inference(rewrite,[status(thm)],[])).
% 48.77/31.90 tff(11090,plain,
% 48.77/31.90 (((~![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))))),
% 48.77/31.90 inference(monotonicity,[status(thm)],[11089])).
% 48.77/31.90 tff(11091,plain,
% 48.77/31.90 (((~![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)))),
% 48.77/31.90 inference(transitivity,[status(thm)],[11090, 11088])).
% 48.77/31.90 tff(11092,plain,
% 48.77/31.90 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB70, bitIndex0) | (~v100(constB70)) | (~v129(constB70, bitIndex0)))),
% 48.77/31.90 inference(quant_inst,[status(thm)],[])).
% 48.77/31.90 tff(11093,plain,
% 48.77/31.90 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB70, bitIndex0) | (~v129(constB70, bitIndex0)) | (~v100(constB70))),
% 48.77/31.90 inference(modus_ponens,[status(thm)],[11092, 11091])).
% 48.77/31.90 tff(11094,plain,
% 48.77/31.90 (v90(constB70, bitIndex0) | (~v100(constB70))),
% 48.77/31.90 inference(unit_resolution,[status(thm)],[11093, 1088, 11087])).
% 48.77/31.90 tff(11095,plain,
% 48.77/31.90 (v90(constB70, bitIndex0)),
% 48.77/31.90 inference(unit_resolution,[status(thm)],[11094, 10982])).
% 48.77/31.90 tff(11096,plain,
% 48.77/31.90 (((~![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))),
% 48.77/31.90 inference(rewrite,[status(thm)],[])).
% 48.77/31.90 tff(11097,plain,
% 48.77/31.90 (((~nextState(constB70, constB71)) | (~v90(constB70, bitIndex0)) | v100(constB71) | v90(constB71, bitIndex0)) <=> ((~v90(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, bitIndex0))),
% 48.77/31.90 inference(rewrite,[status(thm)],[])).
% 48.77/31.90 tff(11098,plain,
% 48.77/31.90 (((~![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)))),
% 48.77/31.90 inference(monotonicity,[status(thm)],[11097])).
% 48.77/31.90 tff(11099,plain,
% 48.77/31.90 (((~![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))),
% 48.77/31.91 inference(transitivity,[status(thm)],[11098, 11096])).
% 48.77/31.91 tff(11100,plain,
% 48.77/31.91 ((~![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))),
% 48.77/31.91 inference(quant_inst,[status(thm)],[])).
% 48.77/31.91 tff(11101,plain,
% 48.77/31.91 ((~![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)),
% 48.77/31.91 inference(modus_ponens,[status(thm)],[11100, 11099])).
% 48.77/31.91 tff(11102,plain,
% 48.77/31.91 ((~v90(constB70, bitIndex0)) | v100(constB71) | v90(constB71, bitIndex0)),
% 48.77/31.91 inference(unit_resolution,[status(thm)],[11101, 1124, 11013])).
% 48.77/31.91 tff(11103,plain,
% 48.77/31.91 ((~v90(constB70, bitIndex0)) | v90(constB71, bitIndex0)),
% 48.77/31.91 inference(unit_resolution,[status(thm)],[11102, 11025])).
% 48.77/31.91 tff(11104,plain,
% 48.77/31.91 (v90(constB71, bitIndex0)),
% 48.77/31.91 inference(unit_resolution,[status(thm)],[11103, 11095])).
% 48.77/31.91 tff(11105,plain,
% 48.77/31.91 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB71, bitIndex0)) | v88(constB71, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB71, bitIndex0)) | v88(constB71, bitIndex0))),
% 48.77/31.91 inference(rewrite,[status(thm)],[])).
% 48.77/31.91 tff(11106,plain,
% 48.77/31.91 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB71, bitIndex0)) | v88(constB71, bitIndex0))),
% 48.77/31.91 inference(quant_inst,[status(thm)],[])).
% 48.77/31.91 tff(11107,plain,
% 48.77/31.91 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB71, bitIndex0)) | v88(constB71, bitIndex0)),
% 48.77/31.91 inference(modus_ponens,[status(thm)],[11106, 11105])).
% 48.77/31.91 tff(11108,plain,
% 48.77/31.91 (v88(constB71, bitIndex0)),
% 48.77/31.91 inference(unit_resolution,[status(thm)],[11107, 8662, 11104])).
% 48.77/31.91 tff(11109,plain,
% 48.77/31.91 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB71, bitIndex0)) | v88(constB71, bitIndex2) | (~v88(constB71, bitIndex1)) | v141(constB71))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB71, bitIndex0)) | v88(constB71, bitIndex2) | (~v88(constB71, bitIndex1)) | v141(constB71))),
% 48.77/31.91 inference(rewrite,[status(thm)],[])).
% 48.77/31.91 tff(11110,plain,
% 48.77/31.91 ((v88(constB71, bitIndex2) | (~v88(constB71, bitIndex1)) | (~v88(constB71, bitIndex0)) | v141(constB71)) <=> ((~v88(constB71, bitIndex0)) | v88(constB71, bitIndex2) | (~v88(constB71, bitIndex1)) | v141(constB71))),
% 48.77/31.91 inference(rewrite,[status(thm)],[])).
% 48.77/31.91 tff(11111,plain,
% 48.77/31.91 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB71, bitIndex2) | (~v88(constB71, bitIndex1)) | (~v88(constB71, bitIndex0)) | v141(constB71))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB71, bitIndex0)) | v88(constB71, bitIndex2) | (~v88(constB71, bitIndex1)) | v141(constB71)))),
% 48.77/31.91 inference(monotonicity,[status(thm)],[11110])).
% 48.77/31.91 tff(11112,plain,
% 48.77/31.91 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB71, bitIndex2) | (~v88(constB71, bitIndex1)) | (~v88(constB71, bitIndex0)) | v141(constB71))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB71, bitIndex0)) | v88(constB71, bitIndex2) | (~v88(constB71, bitIndex1)) | v141(constB71))),
% 48.77/31.91 inference(transitivity,[status(thm)],[11111, 11109])).
% 48.77/31.91 tff(11113,plain,
% 48.77/31.91 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB71, bitIndex2) | (~v88(constB71, bitIndex1)) | (~v88(constB71, bitIndex0)) | v141(constB71))),
% 48.77/31.91 inference(quant_inst,[status(thm)],[])).
% 48.77/31.91 tff(11114,plain,
% 48.77/31.91 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB71, bitIndex0)) | v88(constB71, bitIndex2) | (~v88(constB71, bitIndex1)) | v141(constB71)),
% 48.77/31.91 inference(modus_ponens,[status(thm)],[11113, 11112])).
% 48.77/31.91 tff(11115,plain,
% 48.77/31.91 (v141(constB71)),
% 48.77/31.91 inference(unit_resolution,[status(thm)],[11114, 8783, 11108, 11073, 11038])).
% 48.77/31.91 tff(11116,plain,
% 48.77/31.91 (((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB71) | (~v141(constB71)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB71) | (~v141(constB71)))),
% 48.77/31.91 inference(rewrite,[status(thm)],[])).
% 48.77/31.91 tff(11117,plain,
% 48.77/31.91 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB71) | (~v141(constB71)))),
% 48.77/31.91 inference(quant_inst,[status(thm)],[])).
% 48.77/31.91 tff(11118,plain,
% 48.77/31.91 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB71) | (~v141(constB71))),
% 48.77/31.91 inference(modus_ponens,[status(thm)],[11117, 11116])).
% 48.77/31.91 tff(11119,plain,
% 48.77/31.91 (v199(constB71)),
% 48.77/31.91 inference(unit_resolution,[status(thm)],[11118, 8798, 11115])).
% 48.77/31.91 tff(11120,plain,
% 48.77/31.91 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB71) | (~v199(constB71)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB71) | (~v199(constB71)))),
% 48.77/31.91 inference(rewrite,[status(thm)],[])).
% 48.77/31.91 tff(11121,plain,
% 48.77/31.91 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB71) | (~v199(constB71)))),
% 48.77/31.91 inference(quant_inst,[status(thm)],[])).
% 48.77/31.91 tff(11122,plain,
% 48.77/31.91 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB71) | (~v199(constB71))),
% 48.77/31.91 inference(modus_ponens,[status(thm)],[11121, 11120])).
% 48.77/31.91 tff(11123,plain,
% 48.77/31.91 (v198(constB71)),
% 48.77/31.91 inference(unit_resolution,[status(thm)],[11122, 8809, 11119])).
% 48.77/31.91 tff(11124,plain,
% 48.77/31.91 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB71) | (~v198(constB71)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB71) | (~v198(constB71)))),
% 48.77/31.91 inference(rewrite,[status(thm)],[])).
% 48.77/31.91 tff(11125,plain,
% 48.77/31.91 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB71) | (~v198(constB71)))),
% 48.77/31.91 inference(quant_inst,[status(thm)],[])).
% 48.77/31.91 tff(11126,plain,
% 48.77/31.91 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB71) | (~v198(constB71))),
% 48.77/31.91 inference(modus_ponens,[status(thm)],[11125, 11124])).
% 48.77/31.91 tff(11127,plain,
% 48.77/31.91 (v197(constB71)),
% 48.77/31.91 inference(unit_resolution,[status(thm)],[11126, 8834, 11123])).
% 48.77/31.91 tff(11128,plain,
% 48.77/31.91 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB71, bitIndex1)) | (~v140(constB71)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB71, bitIndex1)) | (~v140(constB71)))),
% 48.77/31.91 inference(rewrite,[status(thm)],[])).
% 48.77/31.91 tff(11129,plain,
% 48.77/31.91 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB71, bitIndex1)) | (~v140(constB71)))),
% 48.77/31.91 inference(quant_inst,[status(thm)],[])).
% 48.77/31.91 tff(11130,plain,
% 48.77/31.91 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB71, bitIndex1)) | (~v140(constB71))),
% 48.77/31.91 inference(modus_ponens,[status(thm)],[11129, 11128])).
% 48.77/31.91 tff(11131,plain,
% 48.77/31.91 (~v140(constB71)),
% 48.77/31.91 inference(unit_resolution,[status(thm)],[11130, 9002, 11073])).
% 48.77/31.91 tff(11132,plain,
% 48.77/31.91 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB71, bitIndex0)) | (~v139(constB71)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB71, bitIndex0)) | (~v139(constB71)))),
% 48.77/31.91 inference(rewrite,[status(thm)],[])).
% 48.77/31.91 tff(11133,plain,
% 48.77/31.91 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB71, bitIndex0)) | (~v139(constB71)))),
% 48.77/31.91 inference(quant_inst,[status(thm)],[])).
% 48.77/31.91 tff(11134,plain,
% 48.77/31.91 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB71, bitIndex0)) | (~v139(constB71))),
% 48.77/31.91 inference(modus_ponens,[status(thm)],[11133, 11132])).
% 48.77/31.91 tff(11135,plain,
% 48.77/31.91 (~v139(constB71)),
% 48.77/31.91 inference(unit_resolution,[status(thm)],[11134, 8991, 11108])).
% 48.77/31.91 tff(11136,plain,
% 48.77/31.91 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB71) | v139(constB71) | (~v148(constB71)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB71) | v139(constB71) | (~v148(constB71)))),
% 48.77/31.91 inference(rewrite,[status(thm)],[])).
% 48.77/31.91 tff(11137,plain,
% 48.77/31.91 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB71) | v139(constB71) | (~v148(constB71)))),
% 48.77/31.91 inference(quant_inst,[status(thm)],[])).
% 48.77/31.91 tff(11138,plain,
% 48.77/31.91 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB71) | v139(constB71) | (~v148(constB71))),
% 48.77/31.91 inference(modus_ponens,[status(thm)],[11137, 11136])).
% 48.77/31.91 tff(11139,plain,
% 48.77/31.91 (~v148(constB71)),
% 48.77/31.91 inference(unit_resolution,[status(thm)],[11138, 9016, 11135, 11131])).
% 48.77/31.91 tff(11140,plain,
% 48.77/31.91 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB71) | v148(constB71) | (~v197(constB71)))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB71) | v148(constB71) | (~v197(constB71)))),
% 48.77/31.91 inference(rewrite,[status(thm)],[])).
% 48.77/31.91 tff(11141,plain,
% 48.77/31.91 ((v148(constB71) | (~v197(constB71)) | v252(constB71)) <=> (v252(constB71) | v148(constB71) | (~v197(constB71)))),
% 48.77/31.91 inference(rewrite,[status(thm)],[])).
% 48.77/31.91 tff(11142,plain,
% 48.77/31.91 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB71) | (~v197(constB71)) | v252(constB71))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB71) | v148(constB71) | (~v197(constB71))))),
% 48.77/31.91 inference(monotonicity,[status(thm)],[11141])).
% 48.77/31.91 tff(11143,plain,
% 48.77/31.91 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB71) | (~v197(constB71)) | v252(constB71))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB71) | v148(constB71) | (~v197(constB71)))),
% 48.77/31.91 inference(transitivity,[status(thm)],[11142, 11140])).
% 48.77/31.91 tff(11144,plain,
% 48.77/31.91 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB71) | (~v197(constB71)) | v252(constB71))),
% 48.77/31.91 inference(quant_inst,[status(thm)],[])).
% 48.77/31.91 tff(11145,plain,
% 48.77/31.91 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB71) | v148(constB71) | (~v197(constB71))),
% 48.77/31.91 inference(modus_ponens,[status(thm)],[11144, 11143])).
% 48.77/31.91 tff(11146,plain,
% 48.77/31.91 (v252(constB71) | (~v197(constB71))),
% 48.77/31.91 inference(unit_resolution,[status(thm)],[11145, 9033, 11139])).
% 48.77/31.91 tff(11147,plain,
% 48.77/31.91 (v252(constB71)),
% 48.77/31.91 inference(unit_resolution,[status(thm)],[11146, 11127])).
% 48.77/31.91 tff(11148,plain,
% 48.77/31.91 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB71)) | (~v223(constB71, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB71)) | (~v223(constB71, bitIndex3)))),
% 48.77/31.91 inference(rewrite,[status(thm)],[])).
% 48.77/31.91 tff(11149,plain,
% 48.77/31.91 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB71)) | (~v223(constB71, bitIndex3)))),
% 48.77/31.91 inference(quant_inst,[status(thm)],[])).
% 48.77/31.91 tff(11150,plain,
% 48.77/31.91 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB71)) | (~v223(constB71, bitIndex3))),
% 48.77/31.91 inference(modus_ponens,[status(thm)],[11149, 11148])).
% 48.77/31.91 tff(11151,plain,
% 48.77/31.91 (~v223(constB71, bitIndex3)),
% 48.77/31.91 inference(unit_resolution,[status(thm)],[11150, 9048, 11147])).
% 48.77/31.91 tff(11152,plain,
% 48.77/31.91 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB71)) | v223(constB71, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB71)) | v223(constB71, bitIndex3))),
% 48.77/31.91 inference(rewrite,[status(thm)],[])).
% 48.77/31.91 tff(11153,plain,
% 48.77/31.91 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB71)) | v223(constB71, bitIndex3))),
% 48.77/31.91 inference(quant_inst,[status(thm)],[])).
% 48.77/31.91 tff(11154,plain,
% 48.77/31.91 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB71)) | v223(constB71, bitIndex3)),
% 48.77/31.91 inference(modus_ponens,[status(thm)],[11153, 11152])).
% 48.77/31.91 tff(11155,plain,
% 48.77/31.91 (~v237(constB71)),
% 48.77/31.91 inference(unit_resolution,[status(thm)],[11154, 9062, 11151])).
% 48.77/31.91 tff(11156,plain,
% 48.77/31.91 (^[VarCurr: $i] : refl((v237(VarCurr) | (~v231(VarCurr))) <=> (v237(VarCurr) | (~v231(VarCurr))))),
% 48.77/31.91 inference(bind,[status(th)],[])).
% 48.77/31.91 tff(11157,plain,
% 48.77/31.91 (![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr))) <=> ![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))),
% 48.77/31.91 inference(quant_intro,[status(thm)],[11156])).
% 48.77/31.91 tff(11158,plain,
% 48.77/31.91 (![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr))) <=> ![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))),
% 48.77/31.91 inference(rewrite,[status(thm)],[])).
% 48.77/31.91 tff(11159,axiom,(![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_67_1_2')).
% 48.77/31.91 tff(11160,plain,
% 48.77/31.91 (![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))),
% 48.77/31.91 inference(modus_ponens,[status(thm)],[11159, 11158])).
% 48.77/31.91 tff(11161,plain,(
% 48.77/31.91 ![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))),
% 48.77/31.91 inference(skolemize,[status(sab)],[11160])).
% 48.77/31.91 tff(11162,plain,
% 48.77/31.91 (![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))),
% 48.77/31.91 inference(modus_ponens,[status(thm)],[11161, 11157])).
% 48.77/31.91 tff(11163,plain,
% 48.77/31.91 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB71) | (~v231(constB71)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB71) | (~v231(constB71)))),
% 48.77/31.91 inference(rewrite,[status(thm)],[])).
% 48.77/31.91 tff(11164,plain,
% 48.77/31.91 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB71) | (~v231(constB71)))),
% 48.77/31.91 inference(quant_inst,[status(thm)],[])).
% 48.77/31.91 tff(11165,plain,
% 48.77/31.91 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB71) | (~v231(constB71))),
% 48.77/31.91 inference(modus_ponens,[status(thm)],[11164, 11163])).
% 48.77/31.91 tff(11166,plain,
% 48.77/31.91 (~v231(constB71)),
% 48.77/31.91 inference(unit_resolution,[status(thm)],[11165, 11162, 11155])).
% 48.77/31.91 tff(11167,plain,
% 48.77/31.91 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB71)) | (~v199(constB71)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB71)) | (~v199(constB71)))),
% 48.77/31.91 inference(rewrite,[status(thm)],[])).
% 48.77/31.91 tff(11168,plain,
% 48.77/31.91 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB71)) | (~v199(constB71)))),
% 48.77/31.91 inference(quant_inst,[status(thm)],[])).
% 48.77/31.91 tff(11169,plain,
% 48.77/31.91 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB71)) | (~v199(constB71))),
% 48.77/31.91 inference(modus_ponens,[status(thm)],[11168, 11167])).
% 48.77/31.91 tff(11170,plain,
% 48.77/31.91 (~v183(constB71)),
% 48.77/31.91 inference(unit_resolution,[status(thm)],[11169, 8873, 11119])).
% 48.77/31.91 tff(11171,plain,
% 48.77/31.91 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB71) | v183(constB71) | (~v197(constB71)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB71) | v183(constB71) | (~v197(constB71)))),
% 48.77/31.91 inference(rewrite,[status(thm)],[])).
% 48.77/31.91 tff(11172,plain,
% 48.77/31.91 (((~v197(constB71)) | v183(constB71) | v228(constB71)) <=> (v228(constB71) | v183(constB71) | (~v197(constB71)))),
% 48.77/31.91 inference(rewrite,[status(thm)],[])).
% 48.77/31.91 tff(11173,plain,
% 48.77/31.91 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB71)) | v183(constB71) | v228(constB71))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB71) | v183(constB71) | (~v197(constB71))))),
% 48.77/31.91 inference(monotonicity,[status(thm)],[11172])).
% 48.77/31.91 tff(11174,plain,
% 48.77/31.91 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB71)) | v183(constB71) | v228(constB71))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB71) | v183(constB71) | (~v197(constB71)))),
% 48.77/31.91 inference(transitivity,[status(thm)],[11173, 11171])).
% 48.77/31.91 tff(11175,plain,
% 48.77/31.91 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB71)) | v183(constB71) | v228(constB71))),
% 48.77/31.91 inference(quant_inst,[status(thm)],[])).
% 48.77/31.91 tff(11176,plain,
% 48.77/31.91 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB71) | v183(constB71) | (~v197(constB71))),
% 48.77/31.91 inference(modus_ponens,[status(thm)],[11175, 11174])).
% 48.77/31.91 tff(11177,plain,
% 48.77/31.91 (v228(constB71)),
% 48.77/31.91 inference(unit_resolution,[status(thm)],[11176, 8887, 11127, 11170])).
% 48.77/31.91 tff(11178,plain,
% 48.77/31.91 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB71)) | (~v223(constB71, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB71)) | (~v223(constB71, bitIndex1)))),
% 48.77/31.91 inference(rewrite,[status(thm)],[])).
% 48.77/31.91 tff(11179,plain,
% 48.77/31.91 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB71)) | (~v223(constB71, bitIndex1)))),
% 48.77/31.91 inference(quant_inst,[status(thm)],[])).
% 48.77/31.91 tff(11180,plain,
% 48.77/31.91 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB71)) | (~v223(constB71, bitIndex1))),
% 48.77/31.91 inference(modus_ponens,[status(thm)],[11179, 11178])).
% 48.77/31.91 tff(11181,plain,
% 48.77/31.91 (~v223(constB71, bitIndex1)),
% 48.77/31.91 inference(unit_resolution,[status(thm)],[11180, 8901, 11177])).
% 48.77/31.91 tff(11182,plain,
% 48.77/31.91 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB71)) | v223(constB71, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB71)) | v223(constB71, bitIndex1))),
% 48.77/31.91 inference(rewrite,[status(thm)],[])).
% 48.77/31.91 tff(11183,plain,
% 48.77/31.91 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB71)) | v223(constB71, bitIndex1))),
% 48.77/31.91 inference(quant_inst,[status(thm)],[])).
% 48.77/31.91 tff(11184,plain,
% 48.77/31.91 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB71)) | v223(constB71, bitIndex1)),
% 48.77/31.91 inference(modus_ponens,[status(thm)],[11183, 11182])).
% 48.77/31.91 tff(11185,plain,
% 48.77/31.91 (~v222(constB71)),
% 48.77/31.91 inference(unit_resolution,[status(thm)],[11184, 8954, 11181])).
% 48.77/31.91 tff(11186,plain,
% 48.77/31.91 (^[VarCurr: $i] : refl((v222(VarCurr) | (~v221(VarCurr))) <=> (v222(VarCurr) | (~v221(VarCurr))))),
% 48.77/31.91 inference(bind,[status(th)],[])).
% 48.77/31.91 tff(11187,plain,
% 48.77/31.91 (![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr))) <=> ![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))),
% 48.77/31.91 inference(quant_intro,[status(thm)],[11186])).
% 48.77/31.91 tff(11188,plain,
% 48.77/31.91 (![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr))) <=> ![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))),
% 48.77/31.91 inference(rewrite,[status(thm)],[])).
% 48.77/31.91 tff(11189,axiom,(![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_59_1_3')).
% 48.77/31.91 tff(11190,plain,
% 48.77/31.91 (![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))),
% 48.77/31.91 inference(modus_ponens,[status(thm)],[11189, 11188])).
% 48.77/31.91 tff(11191,plain,(
% 48.77/31.91 ![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))),
% 48.77/31.91 inference(skolemize,[status(sab)],[11190])).
% 48.77/31.91 tff(11192,plain,
% 48.77/31.91 (![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))),
% 48.77/31.91 inference(modus_ponens,[status(thm)],[11191, 11187])).
% 48.77/31.91 tff(11193,plain,
% 48.77/31.91 (((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB71) | (~v221(constB71)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB71) | (~v221(constB71)))),
% 48.77/31.91 inference(rewrite,[status(thm)],[])).
% 48.77/31.91 tff(11194,plain,
% 48.77/31.91 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB71) | (~v221(constB71)))),
% 48.77/31.91 inference(quant_inst,[status(thm)],[])).
% 48.77/31.91 tff(11195,plain,
% 48.77/31.91 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB71) | (~v221(constB71))),
% 48.77/31.91 inference(modus_ponens,[status(thm)],[11194, 11193])).
% 48.86/31.91 tff(11196,plain,
% 48.86/31.91 (~v221(constB71)),
% 48.86/31.91 inference(unit_resolution,[status(thm)],[11195, 11192, 11185])).
% 48.86/31.91 tff(11197,plain,
% 48.86/31.91 (^[VarCurr: $i] : refl((v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr))) <=> (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr))))),
% 48.86/31.91 inference(bind,[status(th)],[])).
% 48.86/31.91 tff(11198,plain,
% 48.86/31.91 (![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr))) <=> ![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))),
% 48.86/31.91 inference(quant_intro,[status(thm)],[11197])).
% 48.86/31.91 tff(11199,plain,
% 48.86/31.91 (![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr))) <=> ![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))),
% 48.86/31.91 inference(rewrite,[status(thm)],[])).
% 48.86/31.91 tff(11200,plain,
% 48.86/31.91 (^[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)))))),
% 48.86/31.91 inference(bind,[status(th)],[])).
% 48.86/31.91 tff(11201,plain,
% 48.86/31.91 (![VarCurr: $i] : ((v231(VarCurr) | v221(VarCurr)) | (~v243(VarCurr))) <=> ![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))),
% 48.86/31.91 inference(quant_intro,[status(thm)],[11200])).
% 48.86/31.91 tff(11202,axiom,(![VarCurr: $i] : ((v231(VarCurr) | v221(VarCurr)) | (~v243(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_69_1_3')).
% 48.86/31.91 tff(11203,plain,
% 48.86/31.91 (![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))),
% 48.86/31.91 inference(modus_ponens,[status(thm)],[11202, 11201])).
% 48.86/31.91 tff(11204,plain,
% 48.86/31.91 (![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))),
% 48.86/31.91 inference(modus_ponens,[status(thm)],[11203, 11199])).
% 48.86/31.91 tff(11205,plain,(
% 48.86/31.91 ![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))),
% 48.86/31.91 inference(skolemize,[status(sab)],[11204])).
% 48.86/31.91 tff(11206,plain,
% 48.86/31.91 (![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))),
% 48.86/31.91 inference(modus_ponens,[status(thm)],[11205, 11198])).
% 48.86/31.91 tff(11207,plain,
% 48.86/31.91 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB71) | v231(constB71) | (~v243(constB71)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB71) | v231(constB71) | (~v243(constB71)))),
% 48.86/31.91 inference(rewrite,[status(thm)],[])).
% 48.86/31.91 tff(11208,plain,
% 48.86/31.91 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB71) | v231(constB71) | (~v243(constB71)))),
% 48.86/31.91 inference(quant_inst,[status(thm)],[])).
% 48.86/31.91 tff(11209,plain,
% 48.86/31.91 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB71) | v231(constB71) | (~v243(constB71))),
% 48.86/31.91 inference(modus_ponens,[status(thm)],[11208, 11207])).
% 48.86/31.91 tff(11210,plain,
% 48.86/31.91 (~v243(constB71)),
% 48.86/31.91 inference(unit_resolution,[status(thm)],[11209, 11206, 11196, 11166])).
% 48.86/31.91 tff(11211,plain,
% 48.86/31.91 ($false),
% 48.86/31.91 inference(unit_resolution,[status(thm)],[11210, 10704])).
% 48.86/31.91 tff(11212,plain,((~(constB71 = sK0_VarCurr)) | (~v243(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 48.86/31.91 tff(11213,plain,
% 48.86/31.91 (~v243(sK0_VarCurr)),
% 48.86/31.91 inference(unit_resolution,[status(thm)],[11212, 10698])).
% 48.86/31.91 tff(11214,assumption,(~v255(sK0_VarCurr)), introduced(assumption)).
% 48.86/31.91 tff(11215,assumption,(~v243(sK0_VarCurr)), introduced(assumption)).
% 48.86/31.91 tff(11216,plain,
% 48.86/31.91 (^[VarCurr: $i] : refl((v243(VarCurr) | v255(VarCurr)) <=> (v243(VarCurr) | v255(VarCurr)))),
% 48.86/31.91 inference(bind,[status(th)],[])).
% 48.86/31.91 tff(11217,plain,
% 48.86/31.91 (![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr)) <=> ![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))),
% 48.86/31.91 inference(quant_intro,[status(thm)],[11216])).
% 48.86/31.91 tff(11218,plain,
% 48.86/31.91 (![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr)) <=> ![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))),
% 48.86/31.91 inference(rewrite,[status(thm)],[])).
% 48.86/31.91 tff(11219,axiom,(![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_70_1_1_2')).
% 48.86/31.91 tff(11220,plain,
% 48.86/31.91 (![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))),
% 48.86/31.91 inference(modus_ponens,[status(thm)],[11219, 11218])).
% 48.86/31.91 tff(11221,plain,(
% 48.86/31.91 ![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))),
% 48.86/31.91 inference(skolemize,[status(sab)],[11220])).
% 48.86/31.91 tff(11222,plain,
% 48.86/31.91 (![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))),
% 48.86/31.91 inference(modus_ponens,[status(thm)],[11221, 11217])).
% 48.86/31.91 tff(11223,plain,
% 48.86/31.91 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(sK0_VarCurr) | v255(sK0_VarCurr))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(sK0_VarCurr) | v255(sK0_VarCurr))),
% 48.86/31.91 inference(rewrite,[status(thm)],[])).
% 48.86/31.91 tff(11224,plain,
% 48.86/31.91 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(sK0_VarCurr) | v255(sK0_VarCurr))),
% 48.86/31.91 inference(quant_inst,[status(thm)],[])).
% 48.86/31.91 tff(11225,plain,
% 48.86/31.91 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(sK0_VarCurr) | v255(sK0_VarCurr)),
% 48.86/31.91 inference(modus_ponens,[status(thm)],[11224, 11223])).
% 48.86/31.91 tff(11226,plain,
% 48.86/31.91 ($false),
% 48.86/31.91 inference(unit_resolution,[status(thm)],[11225, 11222, 11215, 11214])).
% 48.86/31.91 tff(11227,plain,(v255(sK0_VarCurr) | v243(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 48.86/31.91 tff(11228,plain,
% 48.86/31.91 (v255(sK0_VarCurr)),
% 48.86/31.91 inference(unit_resolution,[status(thm)],[11227, 11213])).
% 48.86/31.91 tff(11229,assumption,(v255(sK0_VarCurr)), introduced(assumption)).
% 48.86/31.91 tff(11230,assumption,(v216(sK0_VarCurr, bitIndex2)), introduced(assumption)).
% 48.86/31.91 tff(11231,plain,
% 48.86/31.91 (^[VarCurr: $i] : refl(((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2))) <=> ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2))))),
% 48.86/31.91 inference(bind,[status(th)],[])).
% 48.86/31.91 tff(11232,plain,
% 48.86/31.91 (![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))),
% 48.86/31.91 inference(quant_intro,[status(thm)],[11231])).
% 48.86/31.91 tff(11233,plain,
% 48.86/31.91 (![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))),
% 48.86/31.91 inference(rewrite,[status(thm)],[])).
% 48.86/31.91 tff(11234,axiom,(![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_27_1_1')).
% 48.86/31.91 tff(11235,plain,
% 48.86/31.91 (![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))),
% 48.86/31.91 inference(modus_ponens,[status(thm)],[11234, 11233])).
% 48.86/31.91 tff(11236,plain,(
% 48.86/31.91 ![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))),
% 48.86/31.91 inference(skolemize,[status(sab)],[11235])).
% 48.86/31.91 tff(11237,plain,
% 48.86/31.91 (![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))),
% 48.86/31.91 inference(modus_ponens,[status(thm)],[11236, 11232])).
% 48.86/31.91 tff(11238,plain,
% 48.86/31.91 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(sK0_VarCurr)) | (~v216(sK0_VarCurr, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(sK0_VarCurr)) | (~v216(sK0_VarCurr, bitIndex2)))),
% 48.86/31.91 inference(rewrite,[status(thm)],[])).
% 48.86/31.91 tff(11239,plain,
% 48.86/31.91 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(sK0_VarCurr)) | (~v216(sK0_VarCurr, bitIndex2)))),
% 48.86/31.91 inference(quant_inst,[status(thm)],[])).
% 48.86/31.91 tff(11240,plain,
% 48.86/31.91 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(sK0_VarCurr)) | (~v216(sK0_VarCurr, bitIndex2))),
% 48.86/31.91 inference(modus_ponens,[status(thm)],[11239, 11238])).
% 48.86/31.91 tff(11241,plain,
% 48.86/31.91 ($false),
% 48.86/31.91 inference(unit_resolution,[status(thm)],[11240, 11237, 11230, 11229])).
% 48.86/31.91 tff(11242,plain,((~v216(sK0_VarCurr, bitIndex2)) | (~v255(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 48.86/31.91 tff(11243,plain,
% 48.86/31.91 (~v216(sK0_VarCurr, bitIndex2)),
% 48.86/31.91 inference(unit_resolution,[status(thm)],[11242, 11228])).
% 48.86/31.91 tff(11244,plain,
% 48.86/31.91 (v209(sK0_VarCurr) <=> v209(sK0_VarCurr)),
% 48.86/31.91 inference(rewrite,[status(thm)],[])).
% 48.86/31.91 tff(11245,axiom,(v209(sK0_VarCurr)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssertion_1_1_1')).
% 48.86/31.91 tff(11246,plain,
% 48.86/31.91 (v209(sK0_VarCurr)),
% 48.86/31.91 inference(modus_ponens,[status(thm)],[11245, 11244])).
% 48.86/31.91 tff(11247,plain,
% 48.86/31.91 (^[VarCurr: $i] : refl((v211(VarCurr) | (~v209(VarCurr))) <=> (v211(VarCurr) | (~v209(VarCurr))))),
% 48.86/31.91 inference(bind,[status(th)],[])).
% 48.86/31.91 tff(11248,plain,
% 48.86/31.91 (![VarCurr: $i] : (v211(VarCurr) | (~v209(VarCurr))) <=> ![VarCurr: $i] : (v211(VarCurr) | (~v209(VarCurr)))),
% 48.86/31.91 inference(quant_intro,[status(thm)],[11247])).
% 48.86/31.91 tff(11249,plain,
% 48.86/31.91 (![VarCurr: $i] : (v211(VarCurr) | (~v209(VarCurr))) <=> ![VarCurr: $i] : (v211(VarCurr) | (~v209(VarCurr)))),
% 48.86/31.91 inference(rewrite,[status(thm)],[])).
% 48.86/31.91 tff(11250,axiom,(![VarCurr: $i] : (v211(VarCurr) | (~v209(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_81_1_1_1_1')).
% 48.86/31.91 tff(11251,plain,
% 48.86/31.91 (![VarCurr: $i] : (v211(VarCurr) | (~v209(VarCurr)))),
% 48.86/31.91 inference(modus_ponens,[status(thm)],[11250, 11249])).
% 48.86/31.91 tff(11252,plain,(
% 48.86/31.91 ![VarCurr: $i] : (v211(VarCurr) | (~v209(VarCurr)))),
% 48.86/31.91 inference(skolemize,[status(sab)],[11251])).
% 48.86/31.91 tff(11253,plain,
% 48.86/31.91 (![VarCurr: $i] : (v211(VarCurr) | (~v209(VarCurr)))),
% 48.86/31.91 inference(modus_ponens,[status(thm)],[11252, 11248])).
% 48.86/31.91 tff(11254,plain,
% 48.86/31.91 (((~![VarCurr: $i] : (v211(VarCurr) | (~v209(VarCurr)))) | (v211(sK0_VarCurr) | (~v209(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : (v211(VarCurr) | (~v209(VarCurr)))) | v211(sK0_VarCurr) | (~v209(sK0_VarCurr)))),
% 48.86/31.91 inference(rewrite,[status(thm)],[])).
% 48.86/31.91 tff(11255,plain,
% 48.86/31.91 ((~![VarCurr: $i] : (v211(VarCurr) | (~v209(VarCurr)))) | (v211(sK0_VarCurr) | (~v209(sK0_VarCurr)))),
% 48.86/31.91 inference(quant_inst,[status(thm)],[])).
% 48.86/31.91 tff(11256,plain,
% 48.86/31.91 ((~![VarCurr: $i] : (v211(VarCurr) | (~v209(VarCurr)))) | v211(sK0_VarCurr) | (~v209(sK0_VarCurr))),
% 48.86/31.91 inference(modus_ponens,[status(thm)],[11255, 11254])).
% 48.86/31.91 tff(11257,plain,
% 48.86/31.91 (v211(sK0_VarCurr)),
% 48.86/31.91 inference(unit_resolution,[status(thm)],[11256, 11253, 11246])).
% 48.86/31.91 tff(11258,plain,
% 48.86/31.91 (^[VarCurr: $i] : refl((v215(VarCurr) | (~v211(VarCurr))) <=> (v215(VarCurr) | (~v211(VarCurr))))),
% 48.86/31.91 inference(bind,[status(th)],[])).
% 48.86/31.91 tff(11259,plain,
% 48.86/31.91 (![VarCurr: $i] : (v215(VarCurr) | (~v211(VarCurr))) <=> ![VarCurr: $i] : (v215(VarCurr) | (~v211(VarCurr)))),
% 48.86/31.91 inference(quant_intro,[status(thm)],[11258])).
% 48.86/31.91 tff(11260,plain,
% 48.86/31.91 (![VarCurr: $i] : (v215(VarCurr) | (~v211(VarCurr))) <=> ![VarCurr: $i] : (v215(VarCurr) | (~v211(VarCurr)))),
% 48.86/31.91 inference(rewrite,[status(thm)],[])).
% 48.86/31.91 tff(11261,axiom,(![VarCurr: $i] : (v215(VarCurr) | (~v211(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_80_1_1_1_2')).
% 48.86/31.91 tff(11262,plain,
% 48.86/31.91 (![VarCurr: $i] : (v215(VarCurr) | (~v211(VarCurr)))),
% 48.86/31.91 inference(modus_ponens,[status(thm)],[11261, 11260])).
% 48.86/31.91 tff(11263,plain,(
% 48.86/31.91 ![VarCurr: $i] : (v215(VarCurr) | (~v211(VarCurr)))),
% 48.86/31.91 inference(skolemize,[status(sab)],[11262])).
% 48.86/31.91 tff(11264,plain,
% 48.86/31.91 (![VarCurr: $i] : (v215(VarCurr) | (~v211(VarCurr)))),
% 48.86/31.91 inference(modus_ponens,[status(thm)],[11263, 11259])).
% 48.86/31.91 tff(11265,plain,
% 48.86/31.91 (((~![VarCurr: $i] : (v215(VarCurr) | (~v211(VarCurr)))) | (v215(sK0_VarCurr) | (~v211(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : (v215(VarCurr) | (~v211(VarCurr)))) | v215(sK0_VarCurr) | (~v211(sK0_VarCurr)))),
% 48.86/31.91 inference(rewrite,[status(thm)],[])).
% 48.86/31.91 tff(11266,plain,
% 48.86/31.91 ((~![VarCurr: $i] : (v215(VarCurr) | (~v211(VarCurr)))) | (v215(sK0_VarCurr) | (~v211(sK0_VarCurr)))),
% 48.86/31.91 inference(quant_inst,[status(thm)],[])).
% 48.86/31.91 tff(11267,plain,
% 48.86/31.91 ((~![VarCurr: $i] : (v215(VarCurr) | (~v211(VarCurr)))) | v215(sK0_VarCurr) | (~v211(sK0_VarCurr))),
% 48.86/31.91 inference(modus_ponens,[status(thm)],[11266, 11265])).
% 48.86/31.91 tff(11268,plain,
% 48.86/31.91 (v215(sK0_VarCurr)),
% 48.86/31.91 inference(unit_resolution,[status(thm)],[11267, 11264, 11257])).
% 48.86/31.91 tff(11269,plain,
% 48.86/31.91 (^[VarCurr: $i] : refl((v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr))) <=> (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr))))),
% 48.86/31.91 inference(bind,[status(th)],[])).
% 48.86/31.91 tff(11270,plain,
% 48.86/31.91 (![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr))) <=> ![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))),
% 48.86/31.91 inference(quant_intro,[status(thm)],[11269])).
% 48.86/31.91 tff(11271,plain,
% 48.86/31.91 (![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr))) <=> ![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))),
% 48.86/31.91 inference(rewrite,[status(thm)],[])).
% 48.86/31.91 tff(11272,plain,
% 48.86/31.91 (^[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)))))),
% 48.86/31.91 inference(bind,[status(th)],[])).
% 48.86/31.91 tff(11273,plain,
% 48.86/31.91 (![VarCurr: $i] : ((v216(VarCurr, bitIndex2) | v254(VarCurr)) | (~v215(VarCurr))) <=> ![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))),
% 48.86/31.91 inference(quant_intro,[status(thm)],[11272])).
% 48.86/31.91 tff(11274,axiom,(![VarCurr: $i] : ((v216(VarCurr, bitIndex2) | v254(VarCurr)) | (~v215(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_78_1_1_1_1')).
% 48.86/31.91 tff(11275,plain,
% 48.86/31.91 (![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))),
% 48.86/31.91 inference(modus_ponens,[status(thm)],[11274, 11273])).
% 48.86/31.91 tff(11276,plain,
% 48.86/31.91 (![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))),
% 48.86/31.91 inference(modus_ponens,[status(thm)],[11275, 11271])).
% 48.86/31.91 tff(11277,plain,(
% 48.86/31.91 ![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))),
% 48.86/31.91 inference(skolemize,[status(sab)],[11276])).
% 48.86/31.91 tff(11278,plain,
% 48.86/31.91 (![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))),
% 48.86/31.91 inference(modus_ponens,[status(thm)],[11277, 11270])).
% 48.86/31.91 tff(11279,plain,
% 48.86/31.91 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(sK0_VarCurr, bitIndex2) | v254(sK0_VarCurr) | (~v215(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(sK0_VarCurr, bitIndex2) | v254(sK0_VarCurr) | (~v215(sK0_VarCurr)))),
% 48.86/31.91 inference(rewrite,[status(thm)],[])).
% 48.86/31.91 tff(11280,plain,
% 48.86/31.91 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(sK0_VarCurr, bitIndex2) | v254(sK0_VarCurr) | (~v215(sK0_VarCurr)))),
% 48.86/31.91 inference(quant_inst,[status(thm)],[])).
% 48.86/31.91 tff(11281,plain,
% 48.86/31.91 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(sK0_VarCurr, bitIndex2) | v254(sK0_VarCurr) | (~v215(sK0_VarCurr))),
% 48.86/31.91 inference(modus_ponens,[status(thm)],[11280, 11279])).
% 48.86/31.91 tff(11282,plain,
% 48.86/31.91 (v216(sK0_VarCurr, bitIndex2) | v254(sK0_VarCurr)),
% 48.86/31.91 inference(unit_resolution,[status(thm)],[11281, 11278, 11268])).
% 48.86/31.91 tff(11283,plain,
% 48.86/31.91 (v254(sK0_VarCurr)),
% 48.86/31.91 inference(unit_resolution,[status(thm)],[11282, 11243])).
% 48.86/31.91 tff(11284,plain,
% 48.86/31.91 (v254(constB71)),
% 48.86/31.91 inference(modus_ponens,[status(thm)],[11283, 10700])).
% 48.86/31.91 tff(11285,plain,
% 48.86/31.91 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB71)) | (~v201(constB71)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB71)) | (~v201(constB71)))),
% 48.86/31.91 inference(rewrite,[status(thm)],[])).
% 48.86/31.91 tff(11286,plain,
% 48.86/31.91 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB71)) | (~v201(constB71)))),
% 48.86/31.91 inference(quant_inst,[status(thm)],[])).
% 48.86/31.91 tff(11287,plain,
% 48.86/31.91 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB71)) | (~v201(constB71))),
% 48.86/31.91 inference(modus_ponens,[status(thm)],[11286, 11285])).
% 48.86/31.91 tff(11288,plain,
% 48.86/31.91 (~v201(constB71)),
% 48.86/31.91 inference(unit_resolution,[status(thm)],[11287, 8823, 11123])).
% 48.86/31.91 tff(11289,plain,
% 48.86/31.91 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB71) | (~v197(constB71)) | v201(constB71))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB71) | (~v197(constB71)) | v201(constB71))),
% 48.86/31.91 inference(rewrite,[status(thm)],[])).
% 48.86/31.91 tff(11290,plain,
% 48.86/31.91 (((~v197(constB71)) | v201(constB71) | v227(constB71)) <=> (v227(constB71) | (~v197(constB71)) | v201(constB71))),
% 48.86/31.91 inference(rewrite,[status(thm)],[])).
% 48.86/31.91 tff(11291,plain,
% 48.86/31.91 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB71)) | v201(constB71) | v227(constB71))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB71) | (~v197(constB71)) | v201(constB71)))),
% 48.86/31.91 inference(monotonicity,[status(thm)],[11290])).
% 48.86/31.91 tff(11292,plain,
% 48.86/31.91 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB71)) | v201(constB71) | v227(constB71))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB71) | (~v197(constB71)) | v201(constB71))),
% 48.86/31.91 inference(transitivity,[status(thm)],[11291, 11289])).
% 48.86/31.91 tff(11293,plain,
% 48.86/31.91 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB71)) | v201(constB71) | v227(constB71))),
% 48.86/31.91 inference(quant_inst,[status(thm)],[])).
% 48.86/31.91 tff(11294,plain,
% 48.86/31.91 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB71) | (~v197(constB71)) | v201(constB71)),
% 48.86/31.91 inference(modus_ponens,[status(thm)],[11293, 11292])).
% 48.86/31.91 tff(11295,plain,
% 48.86/31.91 (v227(constB71)),
% 48.86/31.91 inference(unit_resolution,[status(thm)],[11294, 8848, 11127, 11288])).
% 48.86/31.91 tff(11296,plain,
% 48.86/31.91 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB71)) | (~v223(constB71, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB71)) | (~v223(constB71, bitIndex0)))),
% 48.86/31.91 inference(rewrite,[status(thm)],[])).
% 48.86/31.91 tff(11297,plain,
% 48.86/31.91 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB71)) | (~v223(constB71, bitIndex0)))),
% 48.86/31.91 inference(quant_inst,[status(thm)],[])).
% 48.86/31.91 tff(11298,plain,
% 48.86/31.91 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB71)) | (~v223(constB71, bitIndex0))),
% 48.86/31.91 inference(modus_ponens,[status(thm)],[11297, 11296])).
% 48.86/31.91 tff(11299,plain,
% 48.86/31.91 (~v223(constB71, bitIndex0)),
% 48.86/31.91 inference(unit_resolution,[status(thm)],[11298, 8862, 11295])).
% 48.86/31.91 tff(11300,plain,
% 48.86/31.91 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB71, bitIndex1) | v223(constB71, bitIndex0) | (~v229(constB71)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB71, bitIndex1) | v223(constB71, bitIndex0) | (~v229(constB71)))),
% 48.86/31.91 inference(rewrite,[status(thm)],[])).
% 48.86/31.91 tff(11301,plain,
% 48.86/31.91 ((v223(constB71, bitIndex0) | v223(constB71, bitIndex1) | (~v229(constB71))) <=> (v223(constB71, bitIndex1) | v223(constB71, bitIndex0) | (~v229(constB71)))),
% 48.86/31.91 inference(rewrite,[status(thm)],[])).
% 48.86/31.91 tff(11302,plain,
% 48.86/31.91 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB71, bitIndex0) | v223(constB71, bitIndex1) | (~v229(constB71)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB71, bitIndex1) | v223(constB71, bitIndex0) | (~v229(constB71))))),
% 48.86/31.91 inference(monotonicity,[status(thm)],[11301])).
% 48.86/31.91 tff(11303,plain,
% 48.86/31.91 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB71, bitIndex0) | v223(constB71, bitIndex1) | (~v229(constB71)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB71, bitIndex1) | v223(constB71, bitIndex0) | (~v229(constB71)))),
% 48.86/31.91 inference(transitivity,[status(thm)],[11302, 11300])).
% 48.86/31.91 tff(11304,plain,
% 48.86/31.91 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB71, bitIndex0) | v223(constB71, bitIndex1) | (~v229(constB71)))),
% 48.86/31.91 inference(quant_inst,[status(thm)],[])).
% 48.86/31.92 tff(11305,plain,
% 48.86/31.92 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB71, bitIndex1) | v223(constB71, bitIndex0) | (~v229(constB71))),
% 48.86/31.92 inference(modus_ponens,[status(thm)],[11304, 11303])).
% 48.86/31.92 tff(11306,plain,
% 48.86/31.92 (~v229(constB71)),
% 48.86/31.92 inference(unit_resolution,[status(thm)],[11305, 8915, 11181, 11299])).
% 48.86/31.92 tff(11307,plain,
% 48.86/31.92 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB71) | (~v225(constB71)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB71) | (~v225(constB71)))),
% 48.86/31.92 inference(rewrite,[status(thm)],[])).
% 48.86/31.92 tff(11308,plain,
% 48.86/31.92 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB71) | (~v225(constB71)))),
% 48.86/31.92 inference(quant_inst,[status(thm)],[])).
% 48.86/31.92 tff(11309,plain,
% 48.86/31.92 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB71) | (~v225(constB71))),
% 48.86/31.92 inference(modus_ponens,[status(thm)],[11308, 11307])).
% 48.86/31.92 tff(11310,plain,
% 48.86/31.92 (~v225(constB71)),
% 48.86/31.92 inference(unit_resolution,[status(thm)],[11309, 8929, 11306])).
% 48.86/31.92 tff(11311,plain,
% 48.86/31.92 (((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB71) | (~v224(constB71)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB71) | (~v224(constB71)))),
% 48.86/31.92 inference(rewrite,[status(thm)],[])).
% 48.86/31.92 tff(11312,plain,
% 48.86/31.92 ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB71) | (~v224(constB71)))),
% 48.86/31.92 inference(quant_inst,[status(thm)],[])).
% 48.86/31.92 tff(11313,plain,
% 48.86/31.92 ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB71) | (~v224(constB71))),
% 48.86/31.92 inference(modus_ponens,[status(thm)],[11312, 11311])).
% 48.86/31.92 tff(11314,plain,
% 48.86/31.92 (~v224(constB71)),
% 48.86/31.92 inference(unit_resolution,[status(thm)],[11313, 8940, 11310])).
% 48.86/31.92 tff(11315,plain,
% 48.86/31.92 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB71) | v224(constB71) | (~v236(constB71)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB71) | v224(constB71) | (~v236(constB71)))),
% 48.86/31.92 inference(rewrite,[status(thm)],[])).
% 48.86/31.92 tff(11316,plain,
% 48.86/31.92 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB71) | v224(constB71) | (~v236(constB71)))),
% 48.86/31.92 inference(quant_inst,[status(thm)],[])).
% 48.86/31.92 tff(11317,plain,
% 48.86/31.92 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB71) | v224(constB71) | (~v236(constB71))),
% 48.86/31.92 inference(modus_ponens,[status(thm)],[11316, 11315])).
% 48.86/31.92 tff(11318,plain,
% 48.86/31.92 (v224(constB71) | (~v236(constB71))),
% 48.86/31.92 inference(unit_resolution,[status(thm)],[11317, 8968, 11185])).
% 48.86/31.92 tff(11319,plain,
% 48.86/31.92 (~v236(constB71)),
% 48.86/31.92 inference(unit_resolution,[status(thm)],[11318, 11314])).
% 48.86/31.92 tff(11320,plain,
% 48.86/31.92 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB71) | (~v232(constB71)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB71) | (~v232(constB71)))),
% 48.86/31.92 inference(rewrite,[status(thm)],[])).
% 48.86/31.92 tff(11321,plain,
% 48.86/31.92 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB71) | (~v232(constB71)))),
% 48.86/31.92 inference(quant_inst,[status(thm)],[])).
% 48.86/31.92 tff(11322,plain,
% 48.86/31.92 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB71) | (~v232(constB71))),
% 48.86/31.92 inference(modus_ponens,[status(thm)],[11321, 11320])).
% 48.86/31.92 tff(11323,plain,
% 48.86/31.92 (~v232(constB71)),
% 48.86/31.92 inference(unit_resolution,[status(thm)],[11322, 8980, 11319])).
% 48.86/31.92 tff(11324,plain,
% 48.86/31.92 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB71) | v232(constB71) | (~v248(constB71)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB71) | v232(constB71) | (~v248(constB71)))),
% 48.86/31.92 inference(rewrite,[status(thm)],[])).
% 48.86/31.92 tff(11325,plain,
% 48.86/31.92 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB71) | v232(constB71) | (~v248(constB71)))),
% 48.86/31.92 inference(quant_inst,[status(thm)],[])).
% 48.86/31.92 tff(11326,plain,
% 48.86/31.92 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB71) | v232(constB71) | (~v248(constB71))),
% 48.86/31.92 inference(modus_ponens,[status(thm)],[11325, 11324])).
% 48.86/31.92 tff(11327,plain,
% 48.86/31.92 (v232(constB71) | (~v248(constB71))),
% 48.86/31.92 inference(unit_resolution,[status(thm)],[11326, 9076, 11155])).
% 48.86/31.92 tff(11328,plain,
% 48.86/31.92 (~v248(constB71)),
% 48.86/31.92 inference(unit_resolution,[status(thm)],[11327, 11323])).
% 48.86/31.92 tff(11329,plain,
% 48.86/31.92 (^[VarCurr: $i] : refl((v248(VarCurr) | (~v244(VarCurr))) <=> (v248(VarCurr) | (~v244(VarCurr))))),
% 48.86/31.92 inference(bind,[status(th)],[])).
% 48.86/31.92 tff(11330,plain,
% 48.86/31.92 (![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr))) <=> ![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))),
% 48.86/31.92 inference(quant_intro,[status(thm)],[11329])).
% 48.86/31.92 tff(11331,plain,
% 48.86/31.92 (![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr))) <=> ![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))),
% 48.86/31.92 inference(rewrite,[status(thm)],[])).
% 48.86/31.92 tff(11332,axiom,(![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_73_1_2')).
% 48.86/31.92 tff(11333,plain,
% 48.86/31.92 (![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))),
% 48.86/31.92 inference(modus_ponens,[status(thm)],[11332, 11331])).
% 48.86/31.92 tff(11334,plain,(
% 48.86/31.92 ![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))),
% 48.86/31.92 inference(skolemize,[status(sab)],[11333])).
% 48.86/31.92 tff(11335,plain,
% 48.86/31.92 (![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))),
% 48.86/31.92 inference(modus_ponens,[status(thm)],[11334, 11330])).
% 48.86/31.92 tff(11336,plain,
% 48.86/31.92 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB71) | (~v244(constB71)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB71) | (~v244(constB71)))),
% 48.86/31.92 inference(rewrite,[status(thm)],[])).
% 48.86/31.92 tff(11337,plain,
% 48.86/31.92 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB71) | (~v244(constB71)))),
% 48.86/31.92 inference(quant_inst,[status(thm)],[])).
% 48.86/31.92 tff(11338,plain,
% 48.86/31.92 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB71) | (~v244(constB71))),
% 48.86/31.92 inference(modus_ponens,[status(thm)],[11337, 11336])).
% 48.86/31.92 tff(11339,plain,
% 48.86/31.92 (~v244(constB71)),
% 48.86/31.92 inference(unit_resolution,[status(thm)],[11338, 11335, 11328])).
% 48.86/31.92 tff(11340,plain,
% 48.86/31.92 (^[VarCurr: $i] : refl((v244(VarCurr) | (~v216(VarCurr, bitIndex1))) <=> (v244(VarCurr) | (~v216(VarCurr, bitIndex1))))),
% 48.86/31.92 inference(bind,[status(th)],[])).
% 48.86/31.92 tff(11341,plain,
% 48.86/31.92 (![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))),
% 48.86/31.92 inference(quant_intro,[status(thm)],[11340])).
% 48.86/31.92 tff(11342,plain,
% 48.86/31.92 (![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))),
% 48.86/31.92 inference(rewrite,[status(thm)],[])).
% 48.86/31.92 tff(11343,axiom,(![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_18_1_2')).
% 48.86/31.92 tff(11344,plain,
% 48.86/31.92 (![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))),
% 48.86/31.92 inference(modus_ponens,[status(thm)],[11343, 11342])).
% 48.86/31.92 tff(11345,plain,(
% 48.86/31.92 ![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))),
% 48.86/31.92 inference(skolemize,[status(sab)],[11344])).
% 48.86/31.92 tff(11346,plain,
% 48.86/31.92 (![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))),
% 48.86/31.92 inference(modus_ponens,[status(thm)],[11345, 11341])).
% 48.86/31.92 tff(11347,plain,
% 48.86/31.92 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB71) | (~v216(constB71, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB71) | (~v216(constB71, bitIndex1)))),
% 48.86/31.92 inference(rewrite,[status(thm)],[])).
% 48.86/31.92 tff(11348,plain,
% 48.86/31.92 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB71) | (~v216(constB71, bitIndex1)))),
% 48.86/31.92 inference(quant_inst,[status(thm)],[])).
% 48.86/31.92 tff(11349,plain,
% 48.86/31.92 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB71) | (~v216(constB71, bitIndex1))),
% 48.86/31.92 inference(modus_ponens,[status(thm)],[11348, 11347])).
% 48.86/31.92 tff(11350,plain,
% 48.86/31.92 (~v216(constB71, bitIndex1)),
% 48.86/31.92 inference(unit_resolution,[status(thm)],[11349, 11346, 11339])).
% 48.86/31.92 tff(11351,plain,
% 48.86/31.92 (^[VarCurr: $i] : refl((v216(VarCurr, bitIndex1) | (~v254(VarCurr))) <=> (v216(VarCurr, bitIndex1) | (~v254(VarCurr))))),
% 48.86/31.92 inference(bind,[status(th)],[])).
% 48.86/31.92 tff(11352,plain,
% 48.86/31.92 (![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr))) <=> ![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))),
% 48.86/31.92 inference(quant_intro,[status(thm)],[11351])).
% 48.86/31.92 tff(11353,plain,
% 48.86/31.92 (![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr))) <=> ![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))),
% 48.86/31.92 inference(rewrite,[status(thm)],[])).
% 48.86/31.92 tff(11354,axiom,(![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_77_1_1_1_1')).
% 48.86/31.92 tff(11355,plain,
% 48.86/31.92 (![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))),
% 48.86/31.92 inference(modus_ponens,[status(thm)],[11354, 11353])).
% 48.86/31.92 tff(11356,plain,(
% 48.86/31.92 ![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))),
% 48.86/31.92 inference(skolemize,[status(sab)],[11355])).
% 48.86/31.92 tff(11357,plain,
% 48.86/31.92 (![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))),
% 48.86/31.92 inference(modus_ponens,[status(thm)],[11356, 11352])).
% 48.86/31.92 tff(11358,plain,
% 48.86/31.92 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB71, bitIndex1) | (~v254(constB71)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB71, bitIndex1) | (~v254(constB71)))),
% 48.86/31.92 inference(rewrite,[status(thm)],[])).
% 48.86/31.92 tff(11359,plain,
% 48.86/31.92 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB71, bitIndex1) | (~v254(constB71)))),
% 48.86/31.92 inference(quant_inst,[status(thm)],[])).
% 48.86/31.92 tff(11360,plain,
% 48.86/31.92 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB71, bitIndex1) | (~v254(constB71))),
% 48.86/31.92 inference(modus_ponens,[status(thm)],[11359, 11358])).
% 48.86/31.92 tff(11361,plain,
% 48.86/31.92 (~v254(constB71)),
% 48.86/31.92 inference(unit_resolution,[status(thm)],[11360, 11357, 11350])).
% 48.86/31.92 tff(11362,plain,
% 48.86/31.92 ($false),
% 48.86/31.92 inference(unit_resolution,[status(thm)],[11361, 11284])).
% 48.86/31.92 tff(11363,plain,(~(constB71 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 48.86/31.92 tff(11364,assumption,(constB49 = sK0_VarCurr), introduced(assumption)).
% 48.86/31.92 tff(11365,plain,
% 48.86/31.92 (v215(constB49) <=> v215(sK0_VarCurr)),
% 48.86/31.92 inference(monotonicity,[status(thm)],[11364])).
% 48.86/31.92 tff(11366,plain,
% 48.86/31.92 (v215(sK0_VarCurr) <=> v215(constB49)),
% 48.86/31.92 inference(symmetry,[status(thm)],[11365])).
% 48.86/31.92 tff(11367,plain,
% 48.86/31.92 (v215(constB49)),
% 48.86/31.92 inference(modus_ponens,[status(thm)],[11268, 11366])).
% 48.86/31.92 tff(11368,plain,
% 48.86/31.92 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB49, bitIndex2) | (~v88(constB49, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB49, bitIndex2) | (~v88(constB49, bitIndex2)))),
% 48.86/31.92 inference(rewrite,[status(thm)],[])).
% 48.86/31.92 tff(11369,plain,
% 48.86/31.92 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB49, bitIndex2) | (~v88(constB49, bitIndex2)))),
% 48.86/31.92 inference(quant_inst,[status(thm)],[])).
% 48.86/31.92 tff(11370,plain,
% 48.86/31.92 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB49, bitIndex2) | (~v88(constB49, bitIndex2))),
% 48.86/31.92 inference(modus_ponens,[status(thm)],[11369, 11368])).
% 48.86/31.92 tff(11371,plain,
% 48.86/31.92 (~v88(constB49, bitIndex2)),
% 48.86/31.92 inference(unit_resolution,[status(thm)],[11370, 8769, 7490])).
% 48.86/31.92 tff(11372,plain,
% 48.86/31.92 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB49, bitIndex0) | (~v88(constB49, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB49, bitIndex0) | (~v88(constB49, bitIndex0)))),
% 48.86/31.92 inference(rewrite,[status(thm)],[])).
% 48.86/31.92 tff(11373,plain,
% 48.86/31.92 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB49, bitIndex0) | (~v88(constB49, bitIndex0)))),
% 48.86/31.92 inference(quant_inst,[status(thm)],[])).
% 48.86/31.92 tff(11374,plain,
% 48.86/31.92 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB49, bitIndex0) | (~v88(constB49, bitIndex0))),
% 48.86/31.92 inference(modus_ponens,[status(thm)],[11373, 11372])).
% 48.86/31.92 tff(11375,plain,
% 48.86/31.92 (~v88(constB49, bitIndex0)),
% 48.86/31.92 inference(unit_resolution,[status(thm)],[11374, 10505, 7555])).
% 48.86/31.92 tff(11376,plain,
% 48.86/31.92 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB49, bitIndex1)) | v88(constB49, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB49, bitIndex1)) | v88(constB49, bitIndex1))),
% 48.86/31.92 inference(rewrite,[status(thm)],[])).
% 48.86/31.92 tff(11377,plain,
% 48.86/31.92 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB49, bitIndex1)) | v88(constB49, bitIndex1))),
% 48.86/31.92 inference(quant_inst,[status(thm)],[])).
% 48.86/31.92 tff(11378,plain,
% 48.86/31.92 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB49, bitIndex1)) | v88(constB49, bitIndex1)),
% 48.86/31.92 inference(modus_ponens,[status(thm)],[11377, 11376])).
% 48.86/31.92 tff(11379,plain,
% 48.86/31.92 (v88(constB49, bitIndex1)),
% 48.86/31.92 inference(unit_resolution,[status(thm)],[11378, 8707, 7521])).
% 48.86/31.92 tff(11380,plain,
% 48.86/31.92 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB49, bitIndex2) | (~v88(constB49, bitIndex1)) | v88(constB49, bitIndex0) | v143(constB49))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB49, bitIndex2) | (~v88(constB49, bitIndex1)) | v88(constB49, bitIndex0) | v143(constB49))),
% 48.86/31.92 inference(rewrite,[status(thm)],[])).
% 48.86/31.92 tff(11381,plain,
% 48.86/31.92 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB49, bitIndex2) | (~v88(constB49, bitIndex1)) | v88(constB49, bitIndex0) | v143(constB49))),
% 48.86/31.92 inference(quant_inst,[status(thm)],[])).
% 48.86/31.92 tff(11382,plain,
% 48.86/31.92 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB49, bitIndex2) | (~v88(constB49, bitIndex1)) | v88(constB49, bitIndex0) | v143(constB49)),
% 48.86/31.92 inference(modus_ponens,[status(thm)],[11381, 11380])).
% 48.86/31.92 tff(11383,plain,
% 48.86/31.92 (v143(constB49)),
% 48.86/31.92 inference(unit_resolution,[status(thm)],[11382, 10523, 11379, 11375, 11371])).
% 48.86/31.92 tff(11384,plain,
% 48.86/31.92 (((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB49) | (~v143(constB49)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB49) | (~v143(constB49)))),
% 48.86/31.92 inference(rewrite,[status(thm)],[])).
% 48.86/31.92 tff(11385,plain,
% 48.86/31.92 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB49) | (~v143(constB49)))),
% 48.86/31.92 inference(quant_inst,[status(thm)],[])).
% 48.86/31.92 tff(11386,plain,
% 48.86/31.92 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB49) | (~v143(constB49))),
% 48.86/31.92 inference(modus_ponens,[status(thm)],[11385, 11384])).
% 48.86/31.92 tff(11387,plain,
% 48.86/31.92 (v142(constB49)),
% 48.86/31.92 inference(unit_resolution,[status(thm)],[11386, 10537, 11383])).
% 48.86/31.92 tff(11388,plain,
% 48.86/31.92 (((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB49) | (~v142(constB49)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB49) | (~v142(constB49)))),
% 48.86/31.92 inference(rewrite,[status(thm)],[])).
% 48.86/31.92 tff(11389,plain,
% 48.86/31.92 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB49) | (~v142(constB49)))),
% 48.86/31.92 inference(quant_inst,[status(thm)],[])).
% 48.86/31.92 tff(11390,plain,
% 48.86/31.92 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB49) | (~v142(constB49))),
% 48.86/31.92 inference(modus_ponens,[status(thm)],[11389, 11388])).
% 48.86/31.92 tff(11391,plain,
% 48.86/31.92 (v198(constB49)),
% 48.86/31.92 inference(unit_resolution,[status(thm)],[11390, 10548, 11387])).
% 48.86/31.92 tff(11392,plain,
% 48.86/31.92 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB49)) | (~v201(constB49)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB49)) | (~v201(constB49)))),
% 48.86/31.92 inference(rewrite,[status(thm)],[])).
% 48.86/31.92 tff(11393,plain,
% 48.86/31.92 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB49)) | (~v201(constB49)))),
% 48.86/31.92 inference(quant_inst,[status(thm)],[])).
% 48.86/31.92 tff(11394,plain,
% 48.86/31.92 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB49)) | (~v201(constB49))),
% 48.86/31.92 inference(modus_ponens,[status(thm)],[11393, 11392])).
% 48.86/31.92 tff(11395,plain,
% 48.86/31.92 (~v201(constB49)),
% 48.86/31.92 inference(unit_resolution,[status(thm)],[11394, 8823, 11391])).
% 48.86/31.92 tff(11396,plain,
% 48.86/31.92 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB49) | (~v198(constB49)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB49) | (~v198(constB49)))),
% 48.86/31.92 inference(rewrite,[status(thm)],[])).
% 48.86/31.92 tff(11397,plain,
% 48.86/31.92 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB49) | (~v198(constB49)))),
% 48.86/31.92 inference(quant_inst,[status(thm)],[])).
% 48.86/31.92 tff(11398,plain,
% 48.86/31.92 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB49) | (~v198(constB49))),
% 48.86/31.92 inference(modus_ponens,[status(thm)],[11397, 11396])).
% 48.86/31.92 tff(11399,plain,
% 48.86/31.92 (v197(constB49)),
% 48.86/31.92 inference(unit_resolution,[status(thm)],[11398, 8834, 11391])).
% 48.86/31.92 tff(11400,plain,
% 48.86/31.92 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB49) | (~v197(constB49)) | v201(constB49))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB49) | (~v197(constB49)) | v201(constB49))),
% 48.86/31.92 inference(rewrite,[status(thm)],[])).
% 48.86/31.92 tff(11401,plain,
% 48.86/31.92 (((~v197(constB49)) | v201(constB49) | v227(constB49)) <=> (v227(constB49) | (~v197(constB49)) | v201(constB49))),
% 48.86/31.92 inference(rewrite,[status(thm)],[])).
% 48.86/31.92 tff(11402,plain,
% 48.86/31.92 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB49)) | v201(constB49) | v227(constB49))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB49) | (~v197(constB49)) | v201(constB49)))),
% 48.86/31.92 inference(monotonicity,[status(thm)],[11401])).
% 48.86/31.92 tff(11403,plain,
% 48.86/31.92 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB49)) | v201(constB49) | v227(constB49))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB49) | (~v197(constB49)) | v201(constB49))),
% 48.86/31.92 inference(transitivity,[status(thm)],[11402, 11400])).
% 48.86/31.92 tff(11404,plain,
% 48.86/31.92 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB49)) | v201(constB49) | v227(constB49))),
% 48.86/31.92 inference(quant_inst,[status(thm)],[])).
% 48.86/31.92 tff(11405,plain,
% 48.86/31.92 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB49) | (~v197(constB49)) | v201(constB49)),
% 48.86/31.92 inference(modus_ponens,[status(thm)],[11404, 11403])).
% 48.86/31.92 tff(11406,plain,
% 48.86/31.92 (v227(constB49)),
% 48.86/31.92 inference(unit_resolution,[status(thm)],[11405, 8848, 11399, 11395])).
% 48.86/31.92 tff(11407,plain,
% 48.86/31.92 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB49)) | (~v223(constB49, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB49)) | (~v223(constB49, bitIndex0)))),
% 48.86/31.92 inference(rewrite,[status(thm)],[])).
% 48.86/31.92 tff(11408,plain,
% 48.86/31.92 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB49)) | (~v223(constB49, bitIndex0)))),
% 48.86/31.92 inference(quant_inst,[status(thm)],[])).
% 48.86/31.92 tff(11409,plain,
% 48.86/31.92 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB49)) | (~v223(constB49, bitIndex0))),
% 48.86/31.92 inference(modus_ponens,[status(thm)],[11408, 11407])).
% 48.86/31.92 tff(11410,plain,
% 48.86/31.92 (~v223(constB49, bitIndex0)),
% 48.86/31.92 inference(unit_resolution,[status(thm)],[11409, 8862, 11406])).
% 48.86/31.92 tff(11411,plain,
% 48.86/31.92 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB49, bitIndex0) | (~v222(constB49)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | v223(constB49, bitIndex0) | (~v222(constB49)))),
% 48.86/31.92 inference(rewrite,[status(thm)],[])).
% 48.86/31.92 tff(11412,plain,
% 48.86/31.92 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB49, bitIndex0) | (~v222(constB49)))),
% 48.86/31.92 inference(quant_inst,[status(thm)],[])).
% 48.86/31.92 tff(11413,plain,
% 48.86/31.92 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | v223(constB49, bitIndex0) | (~v222(constB49))),
% 48.86/31.92 inference(modus_ponens,[status(thm)],[11412, 11411])).
% 48.86/31.92 tff(11414,plain,
% 48.86/31.92 (~v222(constB49)),
% 48.86/31.92 inference(unit_resolution,[status(thm)],[11413, 10578, 11410])).
% 48.86/31.92 tff(11415,plain,
% 48.86/31.92 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB49, bitIndex1)) | (~v139(constB49)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB49, bitIndex1)) | (~v139(constB49)))),
% 48.86/31.92 inference(rewrite,[status(thm)],[])).
% 48.86/31.92 tff(11416,plain,
% 48.86/31.92 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB49, bitIndex1)) | (~v139(constB49)))),
% 48.86/31.92 inference(quant_inst,[status(thm)],[])).
% 48.86/31.92 tff(11417,plain,
% 48.86/31.92 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB49, bitIndex1)) | (~v139(constB49))),
% 48.86/31.92 inference(modus_ponens,[status(thm)],[11416, 11415])).
% 48.86/31.92 tff(11418,plain,
% 48.86/31.92 (~v139(constB49)),
% 48.86/31.92 inference(unit_resolution,[status(thm)],[11417, 10589, 11379])).
% 48.86/31.92 tff(11419,plain,
% 48.86/31.92 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB49, bitIndex1)) | (~v140(constB49)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB49, bitIndex1)) | (~v140(constB49)))),
% 48.86/31.92 inference(rewrite,[status(thm)],[])).
% 48.86/31.92 tff(11420,plain,
% 48.86/31.92 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB49, bitIndex1)) | (~v140(constB49)))),
% 48.86/31.92 inference(quant_inst,[status(thm)],[])).
% 48.86/31.92 tff(11421,plain,
% 48.86/31.92 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB49, bitIndex1)) | (~v140(constB49))),
% 48.86/31.92 inference(modus_ponens,[status(thm)],[11420, 11419])).
% 48.86/31.92 tff(11422,plain,
% 48.86/31.92 (~v140(constB49)),
% 48.86/31.92 inference(unit_resolution,[status(thm)],[11421, 9002, 11379])).
% 48.86/31.92 tff(11423,plain,
% 48.86/31.92 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB49) | v139(constB49) | (~v200(constB49)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB49) | v139(constB49) | (~v200(constB49)))),
% 48.86/31.92 inference(rewrite,[status(thm)],[])).
% 48.86/31.92 tff(11424,plain,
% 48.86/31.92 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB49) | v139(constB49) | (~v200(constB49)))),
% 48.86/31.92 inference(quant_inst,[status(thm)],[])).
% 48.86/31.92 tff(11425,plain,
% 48.86/31.92 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB49) | v139(constB49) | (~v200(constB49))),
% 48.86/31.92 inference(modus_ponens,[status(thm)],[11424, 11423])).
% 48.86/31.92 tff(11426,plain,
% 48.86/31.92 (~v200(constB49)),
% 48.86/31.92 inference(unit_resolution,[status(thm)],[11425, 10610, 11422, 11418])).
% 48.86/31.92 tff(11427,plain,
% 48.86/31.92 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB49, bitIndex0) | (~v141(constB49)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB49, bitIndex0) | (~v141(constB49)))),
% 48.86/31.92 inference(rewrite,[status(thm)],[])).
% 48.86/31.92 tff(11428,plain,
% 48.86/31.92 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB49, bitIndex0) | (~v141(constB49)))),
% 48.86/31.92 inference(quant_inst,[status(thm)],[])).
% 48.86/31.92 tff(11429,plain,
% 48.86/31.92 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB49, bitIndex0) | (~v141(constB49))),
% 48.86/31.92 inference(modus_ponens,[status(thm)],[11428, 11427])).
% 48.86/31.92 tff(11430,plain,
% 48.86/31.92 (~v141(constB49)),
% 48.86/31.92 inference(unit_resolution,[status(thm)],[11429, 10624, 11375])).
% 48.86/31.92 tff(11431,plain,
% 48.86/31.92 (((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB49) | v200(constB49) | (~v166(constB49)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB49) | v200(constB49) | (~v166(constB49)))),
% 48.86/31.92 inference(rewrite,[status(thm)],[])).
% 48.86/31.92 tff(11432,plain,
% 48.86/31.92 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB49) | v200(constB49) | (~v166(constB49)))),
% 48.86/31.92 inference(quant_inst,[status(thm)],[])).
% 48.86/31.92 tff(11433,plain,
% 48.86/31.92 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB49) | v200(constB49) | (~v166(constB49))),
% 48.86/31.92 inference(modus_ponens,[status(thm)],[11432, 11431])).
% 48.86/31.92 tff(11434,plain,
% 48.86/31.92 (~v166(constB49)),
% 48.86/31.92 inference(unit_resolution,[status(thm)],[11433, 10638, 11430, 11426])).
% 48.86/31.92 tff(11435,plain,
% 48.86/31.92 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB49) | (~v197(constB49)) | v166(constB49))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB49) | (~v197(constB49)) | v166(constB49))),
% 48.86/31.92 inference(rewrite,[status(thm)],[])).
% 48.86/31.92 tff(11436,plain,
% 48.86/31.92 (((~v197(constB49)) | v166(constB49) | v241(constB49)) <=> (v241(constB49) | (~v197(constB49)) | v166(constB49))),
% 48.86/31.92 inference(rewrite,[status(thm)],[])).
% 48.86/31.92 tff(11437,plain,
% 48.86/31.92 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB49)) | v166(constB49) | v241(constB49))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB49) | (~v197(constB49)) | v166(constB49)))),
% 48.86/31.92 inference(monotonicity,[status(thm)],[11436])).
% 48.86/31.92 tff(11438,plain,
% 48.86/31.92 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB49)) | v166(constB49) | v241(constB49))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB49) | (~v197(constB49)) | v166(constB49))),
% 48.86/31.92 inference(transitivity,[status(thm)],[11437, 11435])).
% 48.86/31.92 tff(11439,plain,
% 48.86/31.92 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB49)) | v166(constB49) | v241(constB49))),
% 48.86/31.92 inference(quant_inst,[status(thm)],[])).
% 48.86/31.92 tff(11440,plain,
% 48.86/31.92 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB49) | (~v197(constB49)) | v166(constB49)),
% 48.86/31.92 inference(modus_ponens,[status(thm)],[11439, 11438])).
% 48.86/31.92 tff(11441,plain,
% 48.86/31.92 (v241(constB49) | (~v197(constB49))),
% 48.86/31.92 inference(unit_resolution,[status(thm)],[11440, 10277, 11434])).
% 48.86/31.92 tff(11442,plain,
% 48.86/31.92 (v241(constB49)),
% 48.86/31.92 inference(unit_resolution,[status(thm)],[11441, 11399])).
% 48.86/31.92 tff(11443,plain,
% 48.86/31.92 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB49)) | (~v223(constB49, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB49)) | (~v223(constB49, bitIndex2)))),
% 48.86/31.92 inference(rewrite,[status(thm)],[])).
% 48.86/31.92 tff(11444,plain,
% 48.86/31.92 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB49)) | (~v223(constB49, bitIndex2)))),
% 48.86/31.92 inference(quant_inst,[status(thm)],[])).
% 48.86/31.92 tff(11445,plain,
% 48.86/31.92 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB49)) | (~v223(constB49, bitIndex2))),
% 48.86/31.92 inference(modus_ponens,[status(thm)],[11444, 11443])).
% 48.86/31.92 tff(11446,plain,
% 48.86/31.92 (~v223(constB49, bitIndex2)),
% 48.86/31.92 inference(unit_resolution,[status(thm)],[11445, 10292, 11442])).
% 48.86/31.92 tff(11447,plain,
% 48.86/31.92 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB49)) | v223(constB49, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB49)) | v223(constB49, bitIndex2))),
% 48.86/31.92 inference(rewrite,[status(thm)],[])).
% 48.86/31.92 tff(11448,plain,
% 48.86/31.92 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB49)) | v223(constB49, bitIndex2))),
% 48.86/31.92 inference(quant_inst,[status(thm)],[])).
% 48.86/31.92 tff(11449,plain,
% 48.86/31.92 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB49)) | v223(constB49, bitIndex2)),
% 48.86/31.92 inference(modus_ponens,[status(thm)],[11448, 11447])).
% 48.86/31.92 tff(11450,plain,
% 48.86/31.92 (~v224(constB49)),
% 48.86/31.92 inference(unit_resolution,[status(thm)],[11449, 10343, 11446])).
% 48.86/31.92 tff(11451,plain,
% 48.86/31.92 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB49) | v224(constB49) | (~v236(constB49)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB49) | v224(constB49) | (~v236(constB49)))),
% 48.86/31.92 inference(rewrite,[status(thm)],[])).
% 48.86/31.92 tff(11452,plain,
% 48.86/31.92 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB49) | v224(constB49) | (~v236(constB49)))),
% 48.86/31.92 inference(quant_inst,[status(thm)],[])).
% 48.86/31.92 tff(11453,plain,
% 48.86/31.92 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB49) | v224(constB49) | (~v236(constB49))),
% 48.86/31.92 inference(modus_ponens,[status(thm)],[11452, 11451])).
% 48.86/31.92 tff(11454,plain,
% 48.86/31.92 (~v236(constB49)),
% 48.86/31.92 inference(unit_resolution,[status(thm)],[11453, 8968, 11450, 11414])).
% 48.86/31.92 tff(11455,plain,
% 48.86/31.92 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB49) | (~v232(constB49)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB49) | (~v232(constB49)))),
% 48.86/31.92 inference(rewrite,[status(thm)],[])).
% 48.86/31.92 tff(11456,plain,
% 48.86/31.92 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB49) | (~v232(constB49)))),
% 48.86/31.92 inference(quant_inst,[status(thm)],[])).
% 48.86/31.92 tff(11457,plain,
% 48.86/31.92 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB49) | (~v232(constB49))),
% 48.86/31.92 inference(modus_ponens,[status(thm)],[11456, 11455])).
% 48.86/31.92 tff(11458,plain,
% 48.86/31.92 (~v232(constB49)),
% 48.86/31.92 inference(unit_resolution,[status(thm)],[11457, 8980, 11454])).
% 48.86/31.92 tff(11459,plain,
% 48.86/31.92 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB49) | v139(constB49) | (~v148(constB49)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB49) | v139(constB49) | (~v148(constB49)))),
% 48.86/31.92 inference(rewrite,[status(thm)],[])).
% 48.86/31.92 tff(11460,plain,
% 48.86/31.92 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB49) | v139(constB49) | (~v148(constB49)))),
% 48.86/31.92 inference(quant_inst,[status(thm)],[])).
% 48.86/31.92 tff(11461,plain,
% 48.86/31.92 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB49) | v139(constB49) | (~v148(constB49))),
% 48.86/31.92 inference(modus_ponens,[status(thm)],[11460, 11459])).
% 48.86/31.92 tff(11462,plain,
% 48.86/31.92 (~v148(constB49)),
% 48.86/31.92 inference(unit_resolution,[status(thm)],[11461, 9016, 11422, 11418])).
% 48.86/31.92 tff(11463,plain,
% 48.86/31.92 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB49) | (~v197(constB49)) | v148(constB49))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB49) | (~v197(constB49)) | v148(constB49))),
% 48.86/31.92 inference(rewrite,[status(thm)],[])).
% 48.86/31.92 tff(11464,plain,
% 48.86/31.92 ((v148(constB49) | (~v197(constB49)) | v252(constB49)) <=> (v252(constB49) | (~v197(constB49)) | v148(constB49))),
% 48.86/31.92 inference(rewrite,[status(thm)],[])).
% 48.86/31.92 tff(11465,plain,
% 48.86/31.92 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB49) | (~v197(constB49)) | v252(constB49))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB49) | (~v197(constB49)) | v148(constB49)))),
% 48.86/31.92 inference(monotonicity,[status(thm)],[11464])).
% 48.86/31.92 tff(11466,plain,
% 48.86/31.92 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB49) | (~v197(constB49)) | v252(constB49))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB49) | (~v197(constB49)) | v148(constB49))),
% 48.86/31.92 inference(transitivity,[status(thm)],[11465, 11463])).
% 48.86/31.92 tff(11467,plain,
% 48.86/31.92 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB49) | (~v197(constB49)) | v252(constB49))),
% 48.86/31.92 inference(quant_inst,[status(thm)],[])).
% 48.86/31.92 tff(11468,plain,
% 48.86/31.92 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB49) | (~v197(constB49)) | v148(constB49)),
% 48.86/31.92 inference(modus_ponens,[status(thm)],[11467, 11466])).
% 48.86/31.92 tff(11469,plain,
% 48.86/31.92 (v252(constB49) | (~v197(constB49))),
% 48.86/31.92 inference(unit_resolution,[status(thm)],[11468, 9033, 11462])).
% 48.86/31.92 tff(11470,plain,
% 48.86/31.92 (v252(constB49)),
% 48.86/31.92 inference(unit_resolution,[status(thm)],[11469, 11399])).
% 48.86/31.92 tff(11471,plain,
% 48.86/31.92 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB49)) | (~v223(constB49, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB49)) | (~v223(constB49, bitIndex3)))),
% 48.86/31.92 inference(rewrite,[status(thm)],[])).
% 48.86/31.92 tff(11472,plain,
% 48.86/31.92 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB49)) | (~v223(constB49, bitIndex3)))),
% 48.86/31.92 inference(quant_inst,[status(thm)],[])).
% 48.86/31.92 tff(11473,plain,
% 48.86/31.92 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB49)) | (~v223(constB49, bitIndex3))),
% 48.86/31.92 inference(modus_ponens,[status(thm)],[11472, 11471])).
% 48.86/31.92 tff(11474,plain,
% 48.86/31.92 (~v223(constB49, bitIndex3)),
% 48.86/31.92 inference(unit_resolution,[status(thm)],[11473, 9048, 11470])).
% 48.86/31.92 tff(11475,plain,
% 48.86/31.92 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB49)) | v223(constB49, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB49)) | v223(constB49, bitIndex3))),
% 48.86/31.92 inference(rewrite,[status(thm)],[])).
% 48.86/31.92 tff(11476,plain,
% 48.86/31.92 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB49)) | v223(constB49, bitIndex3))),
% 48.86/31.92 inference(quant_inst,[status(thm)],[])).
% 48.86/31.92 tff(11477,plain,
% 48.86/31.92 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB49)) | v223(constB49, bitIndex3)),
% 48.86/31.92 inference(modus_ponens,[status(thm)],[11476, 11475])).
% 48.86/31.92 tff(11478,plain,
% 48.86/31.92 (~v237(constB49)),
% 48.86/31.92 inference(unit_resolution,[status(thm)],[11477, 9062, 11474])).
% 48.86/31.92 tff(11479,plain,
% 48.86/31.92 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB49) | v232(constB49) | (~v248(constB49)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB49) | v232(constB49) | (~v248(constB49)))),
% 48.86/31.92 inference(rewrite,[status(thm)],[])).
% 48.86/31.92 tff(11480,plain,
% 48.86/31.92 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB49) | v232(constB49) | (~v248(constB49)))),
% 48.86/31.92 inference(quant_inst,[status(thm)],[])).
% 48.86/31.92 tff(11481,plain,
% 48.86/31.92 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB49) | v232(constB49) | (~v248(constB49))),
% 48.86/31.92 inference(modus_ponens,[status(thm)],[11480, 11479])).
% 48.86/31.92 tff(11482,plain,
% 48.86/31.92 (v232(constB49) | (~v248(constB49))),
% 48.86/31.92 inference(unit_resolution,[status(thm)],[11481, 9076, 11478])).
% 48.86/31.92 tff(11483,plain,
% 48.86/31.92 (~v248(constB49)),
% 48.86/31.92 inference(unit_resolution,[status(thm)],[11482, 11458])).
% 48.86/31.92 tff(11484,plain,
% 48.86/31.92 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB49) | (~v244(constB49)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB49) | (~v244(constB49)))),
% 48.86/31.92 inference(rewrite,[status(thm)],[])).
% 48.86/31.92 tff(11485,plain,
% 48.86/31.92 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB49) | (~v244(constB49)))),
% 48.86/31.92 inference(quant_inst,[status(thm)],[])).
% 48.86/31.92 tff(11486,plain,
% 48.86/31.92 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB49) | (~v244(constB49))),
% 48.86/31.92 inference(modus_ponens,[status(thm)],[11485, 11484])).
% 48.86/31.92 tff(11487,plain,
% 48.86/31.92 (~v244(constB49)),
% 48.86/31.92 inference(unit_resolution,[status(thm)],[11486, 11335, 11483])).
% 48.86/31.92 tff(11488,plain,
% 48.86/31.92 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB49) | (~v216(constB49, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB49) | (~v216(constB49, bitIndex1)))),
% 48.86/31.92 inference(rewrite,[status(thm)],[])).
% 48.86/31.92 tff(11489,plain,
% 48.86/31.92 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB49) | (~v216(constB49, bitIndex1)))),
% 48.86/31.92 inference(quant_inst,[status(thm)],[])).
% 48.86/31.92 tff(11490,plain,
% 48.86/31.92 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB49) | (~v216(constB49, bitIndex1))),
% 48.86/31.92 inference(modus_ponens,[status(thm)],[11489, 11488])).
% 48.86/31.92 tff(11491,plain,
% 48.86/31.92 (~v216(constB49, bitIndex1)),
% 48.86/31.92 inference(unit_resolution,[status(thm)],[11490, 11346, 11487])).
% 48.86/31.92 tff(11492,plain,
% 48.86/31.92 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | ((~v254(constB49)) | v216(constB49, bitIndex1))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB49)) | v216(constB49, bitIndex1))),
% 48.86/31.92 inference(rewrite,[status(thm)],[])).
% 48.86/31.92 tff(11493,plain,
% 48.86/31.92 ((v216(constB49, bitIndex1) | (~v254(constB49))) <=> ((~v254(constB49)) | v216(constB49, bitIndex1))),
% 48.86/31.92 inference(rewrite,[status(thm)],[])).
% 48.86/31.92 tff(11494,plain,
% 48.86/31.92 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB49, bitIndex1) | (~v254(constB49)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | ((~v254(constB49)) | v216(constB49, bitIndex1)))),
% 48.86/31.92 inference(monotonicity,[status(thm)],[11493])).
% 48.86/31.92 tff(11495,plain,
% 48.86/31.92 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB49, bitIndex1) | (~v254(constB49)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB49)) | v216(constB49, bitIndex1))),
% 48.86/31.92 inference(transitivity,[status(thm)],[11494, 11492])).
% 48.86/31.92 tff(11496,plain,
% 48.86/31.92 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB49, bitIndex1) | (~v254(constB49)))),
% 48.86/31.92 inference(quant_inst,[status(thm)],[])).
% 48.86/31.92 tff(11497,plain,
% 48.86/31.92 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB49)) | v216(constB49, bitIndex1)),
% 48.86/31.92 inference(modus_ponens,[status(thm)],[11496, 11495])).
% 48.86/31.92 tff(11498,plain,
% 48.86/31.92 (~v254(constB49)),
% 48.86/31.92 inference(unit_resolution,[status(thm)],[11497, 11357, 11491])).
% 48.86/31.92 tff(11499,plain,
% 48.86/31.92 (^[VarCurr: $i] : refl((v224(VarCurr) | (~v221(VarCurr))) <=> (v224(VarCurr) | (~v221(VarCurr))))),
% 48.86/31.92 inference(bind,[status(th)],[])).
% 48.86/31.92 tff(11500,plain,
% 48.86/31.92 (![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr))) <=> ![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))),
% 48.86/31.92 inference(quant_intro,[status(thm)],[11499])).
% 48.86/31.92 tff(11501,plain,
% 48.86/31.92 (![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr))) <=> ![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))),
% 48.86/31.92 inference(rewrite,[status(thm)],[])).
% 48.86/31.92 tff(11502,axiom,(![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_59_1_2')).
% 48.86/31.93 tff(11503,plain,
% 48.86/31.93 (![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))),
% 48.86/31.93 inference(modus_ponens,[status(thm)],[11502, 11501])).
% 48.86/31.93 tff(11504,plain,(
% 48.86/31.93 ![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))),
% 48.86/31.93 inference(skolemize,[status(sab)],[11503])).
% 48.86/31.93 tff(11505,plain,
% 48.86/31.93 (![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))),
% 48.86/31.93 inference(modus_ponens,[status(thm)],[11504, 11500])).
% 48.86/31.93 tff(11506,plain,
% 48.86/31.93 (((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB49) | (~v221(constB49)))) <=> ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB49) | (~v221(constB49)))),
% 48.86/31.93 inference(rewrite,[status(thm)],[])).
% 48.86/31.93 tff(11507,plain,
% 48.86/31.93 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB49) | (~v221(constB49)))),
% 48.86/31.93 inference(quant_inst,[status(thm)],[])).
% 48.86/31.93 tff(11508,plain,
% 48.86/31.93 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB49) | (~v221(constB49))),
% 48.86/31.93 inference(modus_ponens,[status(thm)],[11507, 11506])).
% 48.86/31.93 tff(11509,plain,
% 48.86/31.93 (~v221(constB49)),
% 48.86/31.93 inference(unit_resolution,[status(thm)],[11508, 11505, 11450])).
% 48.86/31.93 tff(11510,plain,
% 48.86/31.93 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB49) | (~v231(constB49)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB49) | (~v231(constB49)))),
% 48.86/31.93 inference(rewrite,[status(thm)],[])).
% 48.86/31.93 tff(11511,plain,
% 48.86/31.93 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB49) | (~v231(constB49)))),
% 48.86/31.93 inference(quant_inst,[status(thm)],[])).
% 48.86/31.93 tff(11512,plain,
% 48.86/31.93 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB49) | (~v231(constB49))),
% 48.86/31.93 inference(modus_ponens,[status(thm)],[11511, 11510])).
% 48.86/31.93 tff(11513,plain,
% 48.86/31.93 (~v231(constB49)),
% 48.86/31.93 inference(unit_resolution,[status(thm)],[11512, 11162, 11478])).
% 48.86/31.93 tff(11514,plain,
% 48.86/31.93 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB49) | v231(constB49) | (~v243(constB49)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB49) | v231(constB49) | (~v243(constB49)))),
% 48.86/31.93 inference(rewrite,[status(thm)],[])).
% 48.86/31.93 tff(11515,plain,
% 48.86/31.93 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB49) | v231(constB49) | (~v243(constB49)))),
% 48.86/31.93 inference(quant_inst,[status(thm)],[])).
% 48.86/31.93 tff(11516,plain,
% 48.86/31.93 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB49) | v231(constB49) | (~v243(constB49))),
% 48.86/31.93 inference(modus_ponens,[status(thm)],[11515, 11514])).
% 48.86/31.93 tff(11517,plain,
% 48.86/31.93 (~v243(constB49)),
% 48.86/31.93 inference(unit_resolution,[status(thm)],[11516, 11206, 11513, 11509])).
% 48.86/31.93 tff(11518,plain,
% 48.86/31.93 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB49) | v255(constB49))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB49) | v255(constB49))),
% 48.86/31.93 inference(rewrite,[status(thm)],[])).
% 48.86/31.93 tff(11519,plain,
% 48.86/31.93 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB49) | v255(constB49))),
% 48.86/31.93 inference(quant_inst,[status(thm)],[])).
% 48.86/31.93 tff(11520,plain,
% 48.86/31.93 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB49) | v255(constB49)),
% 48.86/31.93 inference(modus_ponens,[status(thm)],[11519, 11518])).
% 48.86/31.93 tff(11521,plain,
% 48.86/31.93 (v255(constB49)),
% 48.86/31.93 inference(unit_resolution,[status(thm)],[11520, 11222, 11517])).
% 48.86/31.93 tff(11522,plain,
% 48.86/31.93 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB49)) | (~v216(constB49, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB49)) | (~v216(constB49, bitIndex2)))),
% 48.86/31.93 inference(rewrite,[status(thm)],[])).
% 48.86/31.93 tff(11523,plain,
% 48.86/31.93 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB49)) | (~v216(constB49, bitIndex2)))),
% 48.86/31.93 inference(quant_inst,[status(thm)],[])).
% 48.86/31.93 tff(11524,plain,
% 48.86/31.93 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB49)) | (~v216(constB49, bitIndex2))),
% 48.86/31.93 inference(modus_ponens,[status(thm)],[11523, 11522])).
% 48.86/31.93 tff(11525,plain,
% 48.86/31.93 (~v216(constB49, bitIndex2)),
% 48.86/31.93 inference(unit_resolution,[status(thm)],[11524, 11237, 11521])).
% 48.86/31.93 tff(11526,plain,
% 48.86/31.93 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB49, bitIndex2) | v254(constB49) | (~v215(constB49)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB49, bitIndex2) | v254(constB49) | (~v215(constB49)))),
% 48.86/31.93 inference(rewrite,[status(thm)],[])).
% 48.86/31.93 tff(11527,plain,
% 48.86/31.93 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB49, bitIndex2) | v254(constB49) | (~v215(constB49)))),
% 48.86/31.93 inference(quant_inst,[status(thm)],[])).
% 48.86/31.93 tff(11528,plain,
% 48.86/31.93 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB49, bitIndex2) | v254(constB49) | (~v215(constB49))),
% 48.86/31.93 inference(modus_ponens,[status(thm)],[11527, 11526])).
% 48.86/31.93 tff(11529,plain,
% 48.86/31.93 (v254(constB49) | (~v215(constB49))),
% 48.86/31.93 inference(unit_resolution,[status(thm)],[11528, 11278, 11525])).
% 48.86/31.93 tff(11530,plain,
% 48.86/31.93 (~v215(constB49)),
% 48.86/31.93 inference(unit_resolution,[status(thm)],[11529, 11498])).
% 48.86/31.93 tff(11531,plain,
% 48.86/31.93 ($false),
% 48.86/31.93 inference(unit_resolution,[status(thm)],[11530, 11367])).
% 48.86/31.93 tff(11532,plain,(~(constB49 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 48.86/31.93 tff(11533,assumption,(constB21 = sK0_VarCurr), introduced(assumption)).
% 48.86/31.93 tff(11534,plain,
% 48.86/31.93 (v215(constB21) <=> v215(sK0_VarCurr)),
% 48.86/31.93 inference(monotonicity,[status(thm)],[11533])).
% 48.86/31.93 tff(11535,plain,
% 48.86/31.93 (v215(sK0_VarCurr) <=> v215(constB21)),
% 48.86/31.93 inference(symmetry,[status(thm)],[11534])).
% 48.86/31.93 tff(11536,plain,
% 48.86/31.93 (v215(constB21)),
% 48.86/31.93 inference(modus_ponens,[status(thm)],[11268, 11535])).
% 48.86/31.93 tff(11537,plain,
% 48.86/31.93 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB21, bitIndex2) | (~v88(constB21, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB21, bitIndex2) | (~v88(constB21, bitIndex2)))),
% 48.86/31.93 inference(rewrite,[status(thm)],[])).
% 48.86/31.93 tff(11538,plain,
% 48.86/31.93 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB21, bitIndex2) | (~v88(constB21, bitIndex2)))),
% 48.86/31.93 inference(quant_inst,[status(thm)],[])).
% 48.86/31.93 tff(11539,plain,
% 48.86/31.93 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB21, bitIndex2) | (~v88(constB21, bitIndex2))),
% 48.86/31.93 inference(modus_ponens,[status(thm)],[11538, 11537])).
% 48.86/31.93 tff(11540,plain,
% 48.86/31.93 (~v88(constB21, bitIndex2)),
% 48.86/31.93 inference(unit_resolution,[status(thm)],[11539, 8769, 4248])).
% 48.86/31.93 tff(11541,plain,
% 48.86/31.93 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB21, bitIndex1)) | v88(constB21, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB21, bitIndex1)) | v88(constB21, bitIndex1))),
% 48.86/31.93 inference(rewrite,[status(thm)],[])).
% 48.86/31.93 tff(11542,plain,
% 48.86/31.93 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB21, bitIndex1)) | v88(constB21, bitIndex1))),
% 48.86/31.93 inference(quant_inst,[status(thm)],[])).
% 48.86/31.93 tff(11543,plain,
% 48.86/31.93 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB21, bitIndex1)) | v88(constB21, bitIndex1)),
% 48.86/31.93 inference(modus_ponens,[status(thm)],[11542, 11541])).
% 48.86/31.93 tff(11544,plain,
% 48.86/31.93 (v88(constB21, bitIndex1)),
% 48.86/31.93 inference(unit_resolution,[status(thm)],[11543, 8707, 4279])).
% 48.86/31.93 tff(11545,plain,
% 48.86/31.93 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB21, bitIndex0)) | v88(constB21, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB21, bitIndex0)) | v88(constB21, bitIndex0))),
% 48.86/31.93 inference(rewrite,[status(thm)],[])).
% 48.86/31.93 tff(11546,plain,
% 48.86/31.93 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB21, bitIndex0)) | v88(constB21, bitIndex0))),
% 48.86/31.93 inference(quant_inst,[status(thm)],[])).
% 48.86/31.93 tff(11547,plain,
% 48.86/31.93 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB21, bitIndex0)) | v88(constB21, bitIndex0)),
% 48.86/31.93 inference(modus_ponens,[status(thm)],[11546, 11545])).
% 48.86/31.93 tff(11548,plain,
% 48.86/31.93 (v88(constB21, bitIndex0)),
% 48.86/31.93 inference(unit_resolution,[status(thm)],[11547, 8662, 4310])).
% 48.86/31.93 tff(11549,plain,
% 48.86/31.93 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB21, bitIndex0)) | v88(constB21, bitIndex2) | (~v88(constB21, bitIndex1)) | v141(constB21))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB21, bitIndex0)) | v88(constB21, bitIndex2) | (~v88(constB21, bitIndex1)) | v141(constB21))),
% 48.86/31.93 inference(rewrite,[status(thm)],[])).
% 48.86/31.93 tff(11550,plain,
% 48.86/31.93 ((v88(constB21, bitIndex2) | (~v88(constB21, bitIndex1)) | (~v88(constB21, bitIndex0)) | v141(constB21)) <=> ((~v88(constB21, bitIndex0)) | v88(constB21, bitIndex2) | (~v88(constB21, bitIndex1)) | v141(constB21))),
% 48.86/31.93 inference(rewrite,[status(thm)],[])).
% 48.86/31.93 tff(11551,plain,
% 48.86/31.93 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB21, bitIndex2) | (~v88(constB21, bitIndex1)) | (~v88(constB21, bitIndex0)) | v141(constB21))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB21, bitIndex0)) | v88(constB21, bitIndex2) | (~v88(constB21, bitIndex1)) | v141(constB21)))),
% 48.86/31.93 inference(monotonicity,[status(thm)],[11550])).
% 48.86/31.93 tff(11552,plain,
% 48.86/31.93 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB21, bitIndex2) | (~v88(constB21, bitIndex1)) | (~v88(constB21, bitIndex0)) | v141(constB21))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB21, bitIndex0)) | v88(constB21, bitIndex2) | (~v88(constB21, bitIndex1)) | v141(constB21))),
% 48.86/31.93 inference(transitivity,[status(thm)],[11551, 11549])).
% 48.86/31.93 tff(11553,plain,
% 48.86/31.93 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB21, bitIndex2) | (~v88(constB21, bitIndex1)) | (~v88(constB21, bitIndex0)) | v141(constB21))),
% 48.86/31.93 inference(quant_inst,[status(thm)],[])).
% 48.86/31.93 tff(11554,plain,
% 48.86/31.93 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB21, bitIndex0)) | v88(constB21, bitIndex2) | (~v88(constB21, bitIndex1)) | v141(constB21)),
% 48.86/31.93 inference(modus_ponens,[status(thm)],[11553, 11552])).
% 48.86/31.93 tff(11555,plain,
% 48.86/31.93 (v141(constB21)),
% 48.86/31.93 inference(unit_resolution,[status(thm)],[11554, 8783, 11548, 11544, 11540])).
% 48.86/31.93 tff(11556,plain,
% 48.86/31.93 (((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB21) | (~v141(constB21)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB21) | (~v141(constB21)))),
% 48.86/31.93 inference(rewrite,[status(thm)],[])).
% 48.86/31.93 tff(11557,plain,
% 48.86/31.93 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB21) | (~v141(constB21)))),
% 48.86/31.93 inference(quant_inst,[status(thm)],[])).
% 48.86/31.93 tff(11558,plain,
% 48.86/31.93 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB21) | (~v141(constB21))),
% 48.86/31.93 inference(modus_ponens,[status(thm)],[11557, 11556])).
% 48.86/31.93 tff(11559,plain,
% 48.86/31.93 (v199(constB21)),
% 48.86/31.93 inference(unit_resolution,[status(thm)],[11558, 8798, 11555])).
% 48.86/31.93 tff(11560,plain,
% 48.86/31.93 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB21) | (~v199(constB21)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB21) | (~v199(constB21)))),
% 48.86/31.93 inference(rewrite,[status(thm)],[])).
% 48.86/31.93 tff(11561,plain,
% 48.86/31.93 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB21) | (~v199(constB21)))),
% 48.86/31.93 inference(quant_inst,[status(thm)],[])).
% 48.86/31.93 tff(11562,plain,
% 48.86/31.93 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB21) | (~v199(constB21))),
% 48.86/31.93 inference(modus_ponens,[status(thm)],[11561, 11560])).
% 48.86/31.93 tff(11563,plain,
% 48.86/31.93 (v198(constB21)),
% 48.86/31.93 inference(unit_resolution,[status(thm)],[11562, 8809, 11559])).
% 48.86/31.93 tff(11564,plain,
% 48.86/31.93 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB21)) | (~v201(constB21)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB21)) | (~v201(constB21)))),
% 48.86/31.93 inference(rewrite,[status(thm)],[])).
% 48.86/31.93 tff(11565,plain,
% 48.86/31.93 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB21)) | (~v201(constB21)))),
% 48.86/31.93 inference(quant_inst,[status(thm)],[])).
% 48.86/31.93 tff(11566,plain,
% 48.86/31.93 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB21)) | (~v201(constB21))),
% 48.86/31.93 inference(modus_ponens,[status(thm)],[11565, 11564])).
% 48.86/31.93 tff(11567,plain,
% 48.86/31.93 (~v201(constB21)),
% 48.86/31.93 inference(unit_resolution,[status(thm)],[11566, 8823, 11563])).
% 48.86/31.93 tff(11568,plain,
% 48.86/31.93 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB21) | (~v198(constB21)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB21) | (~v198(constB21)))),
% 48.86/31.93 inference(rewrite,[status(thm)],[])).
% 48.86/31.93 tff(11569,plain,
% 48.86/31.93 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB21) | (~v198(constB21)))),
% 48.86/31.93 inference(quant_inst,[status(thm)],[])).
% 48.86/31.93 tff(11570,plain,
% 48.86/31.93 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB21) | (~v198(constB21))),
% 48.86/31.93 inference(modus_ponens,[status(thm)],[11569, 11568])).
% 48.86/31.93 tff(11571,plain,
% 48.86/31.93 (v197(constB21)),
% 48.86/31.93 inference(unit_resolution,[status(thm)],[11570, 8834, 11563])).
% 48.86/31.93 tff(11572,plain,
% 48.86/31.93 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB21) | (~v197(constB21)) | v201(constB21))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB21) | (~v197(constB21)) | v201(constB21))),
% 48.86/31.93 inference(rewrite,[status(thm)],[])).
% 48.86/31.93 tff(11573,plain,
% 48.86/31.93 (((~v197(constB21)) | v201(constB21) | v227(constB21)) <=> (v227(constB21) | (~v197(constB21)) | v201(constB21))),
% 48.86/31.93 inference(rewrite,[status(thm)],[])).
% 48.86/31.93 tff(11574,plain,
% 48.86/31.93 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB21)) | v201(constB21) | v227(constB21))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB21) | (~v197(constB21)) | v201(constB21)))),
% 48.86/31.93 inference(monotonicity,[status(thm)],[11573])).
% 48.86/31.93 tff(11575,plain,
% 48.86/31.93 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB21)) | v201(constB21) | v227(constB21))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB21) | (~v197(constB21)) | v201(constB21))),
% 48.86/31.93 inference(transitivity,[status(thm)],[11574, 11572])).
% 48.86/31.93 tff(11576,plain,
% 48.86/31.93 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB21)) | v201(constB21) | v227(constB21))),
% 48.86/31.93 inference(quant_inst,[status(thm)],[])).
% 48.86/31.93 tff(11577,plain,
% 48.86/31.93 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB21) | (~v197(constB21)) | v201(constB21)),
% 48.86/31.93 inference(modus_ponens,[status(thm)],[11576, 11575])).
% 48.86/31.93 tff(11578,plain,
% 48.86/31.93 (v227(constB21)),
% 48.86/31.93 inference(unit_resolution,[status(thm)],[11577, 8848, 11571, 11567])).
% 48.86/31.93 tff(11579,plain,
% 48.86/31.93 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB21)) | (~v223(constB21, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB21)) | (~v223(constB21, bitIndex0)))),
% 48.86/31.93 inference(rewrite,[status(thm)],[])).
% 48.86/31.93 tff(11580,plain,
% 48.86/31.93 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB21)) | (~v223(constB21, bitIndex0)))),
% 48.86/31.93 inference(quant_inst,[status(thm)],[])).
% 48.86/31.93 tff(11581,plain,
% 48.86/31.93 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB21)) | (~v223(constB21, bitIndex0))),
% 48.86/31.93 inference(modus_ponens,[status(thm)],[11580, 11579])).
% 48.86/31.93 tff(11582,plain,
% 48.86/31.93 (~v223(constB21, bitIndex0)),
% 48.86/31.93 inference(unit_resolution,[status(thm)],[11581, 8862, 11578])).
% 48.86/31.93 tff(11583,plain,
% 48.86/31.93 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB21)) | (~v199(constB21)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB21)) | (~v199(constB21)))),
% 48.86/31.93 inference(rewrite,[status(thm)],[])).
% 48.86/31.93 tff(11584,plain,
% 48.86/31.93 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB21)) | (~v199(constB21)))),
% 48.86/31.93 inference(quant_inst,[status(thm)],[])).
% 48.86/31.93 tff(11585,plain,
% 48.86/31.93 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB21)) | (~v199(constB21))),
% 48.86/31.93 inference(modus_ponens,[status(thm)],[11584, 11583])).
% 48.86/31.93 tff(11586,plain,
% 48.86/31.93 (~v183(constB21)),
% 48.86/31.93 inference(unit_resolution,[status(thm)],[11585, 8873, 11559])).
% 48.86/31.93 tff(11587,plain,
% 48.86/31.93 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB21) | (~v197(constB21)) | v183(constB21))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB21) | (~v197(constB21)) | v183(constB21))),
% 48.86/31.93 inference(rewrite,[status(thm)],[])).
% 48.86/31.93 tff(11588,plain,
% 48.86/31.93 (((~v197(constB21)) | v183(constB21) | v228(constB21)) <=> (v228(constB21) | (~v197(constB21)) | v183(constB21))),
% 48.86/31.93 inference(rewrite,[status(thm)],[])).
% 48.86/31.93 tff(11589,plain,
% 48.86/31.93 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB21)) | v183(constB21) | v228(constB21))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB21) | (~v197(constB21)) | v183(constB21)))),
% 48.86/31.93 inference(monotonicity,[status(thm)],[11588])).
% 48.86/31.93 tff(11590,plain,
% 48.86/31.93 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB21)) | v183(constB21) | v228(constB21))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB21) | (~v197(constB21)) | v183(constB21))),
% 48.86/31.93 inference(transitivity,[status(thm)],[11589, 11587])).
% 48.86/31.93 tff(11591,plain,
% 48.86/31.93 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB21)) | v183(constB21) | v228(constB21))),
% 48.86/31.93 inference(quant_inst,[status(thm)],[])).
% 48.86/31.93 tff(11592,plain,
% 48.86/31.93 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB21) | (~v197(constB21)) | v183(constB21)),
% 48.86/31.93 inference(modus_ponens,[status(thm)],[11591, 11590])).
% 48.86/31.93 tff(11593,plain,
% 48.86/31.93 (v228(constB21)),
% 48.86/31.93 inference(unit_resolution,[status(thm)],[11592, 8887, 11571, 11586])).
% 48.86/31.93 tff(11594,plain,
% 48.86/31.93 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB21)) | (~v223(constB21, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB21)) | (~v223(constB21, bitIndex1)))),
% 48.86/31.93 inference(rewrite,[status(thm)],[])).
% 48.86/31.93 tff(11595,plain,
% 48.86/31.93 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB21)) | (~v223(constB21, bitIndex1)))),
% 48.86/31.93 inference(quant_inst,[status(thm)],[])).
% 48.86/31.93 tff(11596,plain,
% 48.86/31.93 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB21)) | (~v223(constB21, bitIndex1))),
% 48.86/31.93 inference(modus_ponens,[status(thm)],[11595, 11594])).
% 48.86/31.93 tff(11597,plain,
% 48.86/31.93 (~v223(constB21, bitIndex1)),
% 48.86/31.93 inference(unit_resolution,[status(thm)],[11596, 8901, 11593])).
% 48.86/31.93 tff(11598,plain,
% 48.86/31.93 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB21, bitIndex1) | v223(constB21, bitIndex0) | (~v229(constB21)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB21, bitIndex1) | v223(constB21, bitIndex0) | (~v229(constB21)))),
% 48.86/31.93 inference(rewrite,[status(thm)],[])).
% 48.86/31.93 tff(11599,plain,
% 48.86/31.93 ((v223(constB21, bitIndex0) | v223(constB21, bitIndex1) | (~v229(constB21))) <=> (v223(constB21, bitIndex1) | v223(constB21, bitIndex0) | (~v229(constB21)))),
% 48.86/31.93 inference(rewrite,[status(thm)],[])).
% 48.86/31.93 tff(11600,plain,
% 48.86/31.93 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB21, bitIndex0) | v223(constB21, bitIndex1) | (~v229(constB21)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB21, bitIndex1) | v223(constB21, bitIndex0) | (~v229(constB21))))),
% 48.86/31.93 inference(monotonicity,[status(thm)],[11599])).
% 48.86/31.93 tff(11601,plain,
% 48.86/31.93 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB21, bitIndex0) | v223(constB21, bitIndex1) | (~v229(constB21)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB21, bitIndex1) | v223(constB21, bitIndex0) | (~v229(constB21)))),
% 48.86/31.93 inference(transitivity,[status(thm)],[11600, 11598])).
% 48.86/31.93 tff(11602,plain,
% 48.86/31.93 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB21, bitIndex0) | v223(constB21, bitIndex1) | (~v229(constB21)))),
% 48.86/31.93 inference(quant_inst,[status(thm)],[])).
% 48.86/31.93 tff(11603,plain,
% 48.86/31.93 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB21, bitIndex1) | v223(constB21, bitIndex0) | (~v229(constB21))),
% 48.86/31.93 inference(modus_ponens,[status(thm)],[11602, 11601])).
% 48.86/31.93 tff(11604,plain,
% 48.86/31.93 (~v229(constB21)),
% 48.86/31.93 inference(unit_resolution,[status(thm)],[11603, 8915, 11597, 11582])).
% 48.86/31.93 tff(11605,plain,
% 48.86/31.93 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB21) | (~v225(constB21)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB21) | (~v225(constB21)))),
% 48.86/31.93 inference(rewrite,[status(thm)],[])).
% 48.86/31.93 tff(11606,plain,
% 48.86/31.93 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB21) | (~v225(constB21)))),
% 48.86/31.93 inference(quant_inst,[status(thm)],[])).
% 48.86/31.93 tff(11607,plain,
% 48.86/31.93 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB21) | (~v225(constB21))),
% 48.86/31.93 inference(modus_ponens,[status(thm)],[11606, 11605])).
% 48.86/31.93 tff(11608,plain,
% 48.86/31.93 (~v225(constB21)),
% 48.86/31.93 inference(unit_resolution,[status(thm)],[11607, 8929, 11604])).
% 48.86/31.93 tff(11609,plain,
% 48.86/31.93 (((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB21) | (~v224(constB21)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB21) | (~v224(constB21)))),
% 48.86/31.93 inference(rewrite,[status(thm)],[])).
% 48.86/31.93 tff(11610,plain,
% 48.86/31.93 ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB21) | (~v224(constB21)))),
% 48.86/31.93 inference(quant_inst,[status(thm)],[])).
% 48.86/31.93 tff(11611,plain,
% 48.86/31.93 ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB21) | (~v224(constB21))),
% 48.86/31.93 inference(modus_ponens,[status(thm)],[11610, 11609])).
% 48.86/31.93 tff(11612,plain,
% 48.86/31.93 (~v224(constB21)),
% 48.86/31.93 inference(unit_resolution,[status(thm)],[11611, 8940, 11608])).
% 48.86/31.93 tff(11613,plain,
% 48.86/31.93 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB21)) | v223(constB21, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB21)) | v223(constB21, bitIndex1))),
% 48.86/31.93 inference(rewrite,[status(thm)],[])).
% 48.86/31.93 tff(11614,plain,
% 48.86/31.93 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB21)) | v223(constB21, bitIndex1))),
% 48.86/31.93 inference(quant_inst,[status(thm)],[])).
% 48.86/31.93 tff(11615,plain,
% 48.86/31.93 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB21)) | v223(constB21, bitIndex1)),
% 48.86/31.93 inference(modus_ponens,[status(thm)],[11614, 11613])).
% 48.86/31.93 tff(11616,plain,
% 48.86/31.93 (~v222(constB21)),
% 48.86/31.93 inference(unit_resolution,[status(thm)],[11615, 8954, 11597])).
% 48.86/31.93 tff(11617,plain,
% 48.86/31.93 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB21) | v224(constB21) | (~v236(constB21)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB21) | v224(constB21) | (~v236(constB21)))),
% 48.86/31.93 inference(rewrite,[status(thm)],[])).
% 48.86/31.93 tff(11618,plain,
% 48.86/31.93 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB21) | v224(constB21) | (~v236(constB21)))),
% 48.86/31.93 inference(quant_inst,[status(thm)],[])).
% 48.86/31.93 tff(11619,plain,
% 48.86/31.93 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB21) | v224(constB21) | (~v236(constB21))),
% 48.86/31.93 inference(modus_ponens,[status(thm)],[11618, 11617])).
% 48.86/31.93 tff(11620,plain,
% 48.86/31.93 (v224(constB21) | (~v236(constB21))),
% 48.86/31.93 inference(unit_resolution,[status(thm)],[11619, 8968, 11616])).
% 48.86/31.93 tff(11621,plain,
% 48.86/31.93 (~v236(constB21)),
% 48.86/31.93 inference(unit_resolution,[status(thm)],[11620, 11612])).
% 48.86/31.93 tff(11622,plain,
% 48.86/31.93 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB21) | (~v232(constB21)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB21) | (~v232(constB21)))),
% 48.86/31.93 inference(rewrite,[status(thm)],[])).
% 48.86/31.93 tff(11623,plain,
% 48.86/31.93 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB21) | (~v232(constB21)))),
% 48.86/31.93 inference(quant_inst,[status(thm)],[])).
% 48.86/31.93 tff(11624,plain,
% 48.86/31.93 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB21) | (~v232(constB21))),
% 48.86/31.93 inference(modus_ponens,[status(thm)],[11623, 11622])).
% 48.86/31.93 tff(11625,plain,
% 48.86/31.93 (~v232(constB21)),
% 48.86/31.93 inference(unit_resolution,[status(thm)],[11624, 8980, 11621])).
% 48.86/31.93 tff(11626,plain,
% 48.86/31.93 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB21, bitIndex1)) | (~v140(constB21)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB21, bitIndex1)) | (~v140(constB21)))),
% 48.86/31.93 inference(rewrite,[status(thm)],[])).
% 48.86/31.93 tff(11627,plain,
% 48.86/31.93 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB21, bitIndex1)) | (~v140(constB21)))),
% 48.86/31.93 inference(quant_inst,[status(thm)],[])).
% 48.86/31.93 tff(11628,plain,
% 48.86/31.93 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB21, bitIndex1)) | (~v140(constB21))),
% 48.86/31.93 inference(modus_ponens,[status(thm)],[11627, 11626])).
% 48.86/31.93 tff(11629,plain,
% 48.86/31.93 (~v140(constB21)),
% 48.86/31.93 inference(unit_resolution,[status(thm)],[11628, 9002, 11544])).
% 48.86/31.93 tff(11630,plain,
% 48.86/31.93 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB21, bitIndex0)) | (~v139(constB21)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB21, bitIndex0)) | (~v139(constB21)))),
% 48.86/31.93 inference(rewrite,[status(thm)],[])).
% 48.86/31.93 tff(11631,plain,
% 48.86/31.93 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB21, bitIndex0)) | (~v139(constB21)))),
% 48.86/31.93 inference(quant_inst,[status(thm)],[])).
% 48.86/31.93 tff(11632,plain,
% 48.86/31.93 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB21, bitIndex0)) | (~v139(constB21))),
% 48.86/31.93 inference(modus_ponens,[status(thm)],[11631, 11630])).
% 48.86/31.93 tff(11633,plain,
% 48.86/31.93 (~v139(constB21)),
% 48.86/31.93 inference(unit_resolution,[status(thm)],[11632, 8991, 11548])).
% 48.86/31.93 tff(11634,plain,
% 48.86/31.93 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB21) | v139(constB21) | (~v148(constB21)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB21) | v139(constB21) | (~v148(constB21)))),
% 48.86/31.93 inference(rewrite,[status(thm)],[])).
% 48.86/31.93 tff(11635,plain,
% 48.86/31.93 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB21) | v139(constB21) | (~v148(constB21)))),
% 48.86/31.93 inference(quant_inst,[status(thm)],[])).
% 48.86/31.93 tff(11636,plain,
% 48.86/31.93 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB21) | v139(constB21) | (~v148(constB21))),
% 48.86/31.93 inference(modus_ponens,[status(thm)],[11635, 11634])).
% 48.86/31.93 tff(11637,plain,
% 48.86/31.93 (~v148(constB21)),
% 48.86/31.93 inference(unit_resolution,[status(thm)],[11636, 9016, 11633, 11629])).
% 48.86/31.93 tff(11638,plain,
% 48.86/31.93 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB21) | v148(constB21) | (~v197(constB21)))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB21) | v148(constB21) | (~v197(constB21)))),
% 48.86/31.93 inference(rewrite,[status(thm)],[])).
% 48.86/31.93 tff(11639,plain,
% 48.86/31.93 ((v148(constB21) | (~v197(constB21)) | v252(constB21)) <=> (v252(constB21) | v148(constB21) | (~v197(constB21)))),
% 48.86/31.93 inference(rewrite,[status(thm)],[])).
% 48.86/31.93 tff(11640,plain,
% 48.86/31.93 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB21) | (~v197(constB21)) | v252(constB21))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB21) | v148(constB21) | (~v197(constB21))))),
% 48.86/31.93 inference(monotonicity,[status(thm)],[11639])).
% 48.86/31.93 tff(11641,plain,
% 48.86/31.93 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB21) | (~v197(constB21)) | v252(constB21))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB21) | v148(constB21) | (~v197(constB21)))),
% 48.86/31.93 inference(transitivity,[status(thm)],[11640, 11638])).
% 48.86/31.93 tff(11642,plain,
% 48.86/31.93 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB21) | (~v197(constB21)) | v252(constB21))),
% 48.86/31.93 inference(quant_inst,[status(thm)],[])).
% 48.86/31.93 tff(11643,plain,
% 48.86/31.93 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB21) | v148(constB21) | (~v197(constB21))),
% 48.86/31.93 inference(modus_ponens,[status(thm)],[11642, 11641])).
% 48.86/31.93 tff(11644,plain,
% 48.86/31.93 (v252(constB21) | (~v197(constB21))),
% 48.86/31.93 inference(unit_resolution,[status(thm)],[11643, 9033, 11637])).
% 48.86/31.93 tff(11645,plain,
% 48.86/31.93 (v252(constB21)),
% 48.86/31.93 inference(unit_resolution,[status(thm)],[11644, 11571])).
% 48.86/31.93 tff(11646,plain,
% 48.86/31.93 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB21)) | (~v223(constB21, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB21)) | (~v223(constB21, bitIndex3)))),
% 48.86/31.93 inference(rewrite,[status(thm)],[])).
% 48.86/31.93 tff(11647,plain,
% 48.86/31.93 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB21)) | (~v223(constB21, bitIndex3)))),
% 48.86/31.93 inference(quant_inst,[status(thm)],[])).
% 48.86/31.93 tff(11648,plain,
% 48.86/31.93 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB21)) | (~v223(constB21, bitIndex3))),
% 48.86/31.93 inference(modus_ponens,[status(thm)],[11647, 11646])).
% 48.86/31.93 tff(11649,plain,
% 48.86/31.93 (~v223(constB21, bitIndex3)),
% 48.86/31.93 inference(unit_resolution,[status(thm)],[11648, 9048, 11645])).
% 48.86/31.93 tff(11650,plain,
% 48.86/31.93 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB21)) | v223(constB21, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB21)) | v223(constB21, bitIndex3))),
% 48.86/31.93 inference(rewrite,[status(thm)],[])).
% 48.86/31.93 tff(11651,plain,
% 48.86/31.93 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB21)) | v223(constB21, bitIndex3))),
% 48.86/31.93 inference(quant_inst,[status(thm)],[])).
% 48.86/31.93 tff(11652,plain,
% 48.86/31.93 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB21)) | v223(constB21, bitIndex3)),
% 48.86/31.93 inference(modus_ponens,[status(thm)],[11651, 11650])).
% 48.86/31.93 tff(11653,plain,
% 48.86/31.93 (~v237(constB21)),
% 48.86/31.93 inference(unit_resolution,[status(thm)],[11652, 9062, 11649])).
% 48.86/31.93 tff(11654,plain,
% 48.86/31.93 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB21) | (~v248(constB21)) | v232(constB21))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB21) | (~v248(constB21)) | v232(constB21))),
% 48.86/31.93 inference(rewrite,[status(thm)],[])).
% 48.86/31.93 tff(11655,plain,
% 48.86/31.93 ((v237(constB21) | v232(constB21) | (~v248(constB21))) <=> (v237(constB21) | (~v248(constB21)) | v232(constB21))),
% 48.86/31.93 inference(rewrite,[status(thm)],[])).
% 48.86/31.93 tff(11656,plain,
% 48.86/31.93 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB21) | v232(constB21) | (~v248(constB21)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB21) | (~v248(constB21)) | v232(constB21)))),
% 48.86/31.93 inference(monotonicity,[status(thm)],[11655])).
% 48.86/31.93 tff(11657,plain,
% 48.86/31.93 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB21) | v232(constB21) | (~v248(constB21)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB21) | (~v248(constB21)) | v232(constB21))),
% 48.86/31.93 inference(transitivity,[status(thm)],[11656, 11654])).
% 48.86/31.93 tff(11658,plain,
% 48.86/31.93 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB21) | v232(constB21) | (~v248(constB21)))),
% 48.86/31.93 inference(quant_inst,[status(thm)],[])).
% 48.86/31.93 tff(11659,plain,
% 48.86/31.93 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB21) | (~v248(constB21)) | v232(constB21)),
% 48.86/31.93 inference(modus_ponens,[status(thm)],[11658, 11657])).
% 48.86/31.93 tff(11660,plain,
% 48.86/31.93 ((~v248(constB21)) | v232(constB21)),
% 48.86/31.93 inference(unit_resolution,[status(thm)],[11659, 9076, 11653])).
% 48.86/31.93 tff(11661,plain,
% 48.86/31.93 (~v248(constB21)),
% 48.86/31.93 inference(unit_resolution,[status(thm)],[11660, 11625])).
% 48.86/31.93 tff(11662,plain,
% 48.86/31.93 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB21) | (~v244(constB21)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB21) | (~v244(constB21)))),
% 48.86/31.93 inference(rewrite,[status(thm)],[])).
% 48.86/31.93 tff(11663,plain,
% 48.86/31.93 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB21) | (~v244(constB21)))),
% 48.86/31.93 inference(quant_inst,[status(thm)],[])).
% 48.86/31.93 tff(11664,plain,
% 48.86/31.93 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB21) | (~v244(constB21))),
% 48.86/31.93 inference(modus_ponens,[status(thm)],[11663, 11662])).
% 48.86/31.93 tff(11665,plain,
% 48.86/31.93 (~v244(constB21)),
% 48.86/31.93 inference(unit_resolution,[status(thm)],[11664, 11335, 11661])).
% 48.86/31.93 tff(11666,plain,
% 48.86/31.93 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB21) | (~v216(constB21, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB21) | (~v216(constB21, bitIndex1)))),
% 48.86/31.93 inference(rewrite,[status(thm)],[])).
% 48.86/31.93 tff(11667,plain,
% 48.86/31.93 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB21) | (~v216(constB21, bitIndex1)))),
% 48.86/31.93 inference(quant_inst,[status(thm)],[])).
% 48.86/31.93 tff(11668,plain,
% 48.86/31.93 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB21) | (~v216(constB21, bitIndex1))),
% 48.86/31.93 inference(modus_ponens,[status(thm)],[11667, 11666])).
% 48.86/31.93 tff(11669,plain,
% 48.86/31.93 (~v216(constB21, bitIndex1)),
% 48.86/31.93 inference(unit_resolution,[status(thm)],[11668, 11346, 11665])).
% 48.86/31.94 tff(11670,plain,
% 48.86/31.94 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB21, bitIndex1) | (~v254(constB21)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB21, bitIndex1) | (~v254(constB21)))),
% 48.86/31.94 inference(rewrite,[status(thm)],[])).
% 48.86/31.94 tff(11671,plain,
% 48.86/31.94 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB21, bitIndex1) | (~v254(constB21)))),
% 48.86/31.94 inference(quant_inst,[status(thm)],[])).
% 48.86/31.94 tff(11672,plain,
% 48.86/31.94 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB21, bitIndex1) | (~v254(constB21))),
% 48.86/31.94 inference(modus_ponens,[status(thm)],[11671, 11670])).
% 48.86/31.94 tff(11673,plain,
% 48.86/31.94 (~v254(constB21)),
% 48.86/31.94 inference(unit_resolution,[status(thm)],[11672, 11357, 11669])).
% 48.86/31.94 tff(11674,plain,
% 48.86/31.94 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB21) | (~v231(constB21)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB21) | (~v231(constB21)))),
% 48.86/31.94 inference(rewrite,[status(thm)],[])).
% 48.86/31.94 tff(11675,plain,
% 48.86/31.94 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB21) | (~v231(constB21)))),
% 48.86/31.94 inference(quant_inst,[status(thm)],[])).
% 48.86/31.94 tff(11676,plain,
% 48.86/31.94 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB21) | (~v231(constB21))),
% 48.86/31.94 inference(modus_ponens,[status(thm)],[11675, 11674])).
% 48.86/31.94 tff(11677,plain,
% 48.86/31.94 (~v231(constB21)),
% 48.86/31.94 inference(unit_resolution,[status(thm)],[11676, 11162, 11653])).
% 48.86/31.94 tff(11678,plain,
% 48.86/31.94 (((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB21) | (~v221(constB21)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB21) | (~v221(constB21)))),
% 48.86/31.94 inference(rewrite,[status(thm)],[])).
% 48.86/31.94 tff(11679,plain,
% 48.86/31.94 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB21) | (~v221(constB21)))),
% 48.86/31.94 inference(quant_inst,[status(thm)],[])).
% 48.86/31.94 tff(11680,plain,
% 48.86/31.94 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB21) | (~v221(constB21))),
% 48.86/31.94 inference(modus_ponens,[status(thm)],[11679, 11678])).
% 48.86/31.94 tff(11681,plain,
% 48.86/31.94 (~v221(constB21)),
% 48.86/31.94 inference(unit_resolution,[status(thm)],[11680, 11192, 11616])).
% 48.86/31.94 tff(11682,plain,
% 48.86/31.94 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB21) | v231(constB21) | (~v243(constB21)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB21) | v231(constB21) | (~v243(constB21)))),
% 48.86/31.94 inference(rewrite,[status(thm)],[])).
% 48.86/31.94 tff(11683,plain,
% 48.86/31.94 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB21) | v231(constB21) | (~v243(constB21)))),
% 48.86/31.94 inference(quant_inst,[status(thm)],[])).
% 48.86/31.94 tff(11684,plain,
% 48.86/31.94 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB21) | v231(constB21) | (~v243(constB21))),
% 48.86/31.94 inference(modus_ponens,[status(thm)],[11683, 11682])).
% 48.86/31.94 tff(11685,plain,
% 48.86/31.94 (~v243(constB21)),
% 48.86/31.94 inference(unit_resolution,[status(thm)],[11684, 11206, 11681, 11677])).
% 48.86/31.94 tff(11686,plain,
% 48.86/31.94 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB21) | v255(constB21))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB21) | v255(constB21))),
% 48.86/31.94 inference(rewrite,[status(thm)],[])).
% 48.86/31.94 tff(11687,plain,
% 48.86/31.94 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB21) | v255(constB21))),
% 48.86/31.94 inference(quant_inst,[status(thm)],[])).
% 48.86/31.94 tff(11688,plain,
% 48.86/31.94 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB21) | v255(constB21)),
% 48.86/31.94 inference(modus_ponens,[status(thm)],[11687, 11686])).
% 48.86/31.94 tff(11689,plain,
% 48.86/31.94 (v255(constB21)),
% 48.86/31.94 inference(unit_resolution,[status(thm)],[11688, 11222, 11685])).
% 48.86/31.94 tff(11690,plain,
% 48.86/31.94 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB21)) | (~v216(constB21, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB21)) | (~v216(constB21, bitIndex2)))),
% 48.86/31.94 inference(rewrite,[status(thm)],[])).
% 48.86/31.94 tff(11691,plain,
% 48.86/31.94 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB21)) | (~v216(constB21, bitIndex2)))),
% 48.86/31.94 inference(quant_inst,[status(thm)],[])).
% 48.86/31.94 tff(11692,plain,
% 48.86/31.94 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB21)) | (~v216(constB21, bitIndex2))),
% 48.86/31.94 inference(modus_ponens,[status(thm)],[11691, 11690])).
% 48.86/31.94 tff(11693,plain,
% 48.86/31.94 (~v216(constB21, bitIndex2)),
% 48.86/31.94 inference(unit_resolution,[status(thm)],[11692, 11237, 11689])).
% 48.86/31.94 tff(11694,plain,
% 48.86/31.94 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB21)) | v216(constB21, bitIndex2) | v254(constB21))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB21)) | v216(constB21, bitIndex2) | v254(constB21))),
% 48.86/31.94 inference(rewrite,[status(thm)],[])).
% 48.86/31.94 tff(11695,plain,
% 48.86/31.94 ((v216(constB21, bitIndex2) | v254(constB21) | (~v215(constB21))) <=> ((~v215(constB21)) | v216(constB21, bitIndex2) | v254(constB21))),
% 48.86/31.94 inference(rewrite,[status(thm)],[])).
% 48.86/31.94 tff(11696,plain,
% 48.86/31.94 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB21, bitIndex2) | v254(constB21) | (~v215(constB21)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB21)) | v216(constB21, bitIndex2) | v254(constB21)))),
% 48.86/31.94 inference(monotonicity,[status(thm)],[11695])).
% 48.86/31.94 tff(11697,plain,
% 48.86/31.94 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB21, bitIndex2) | v254(constB21) | (~v215(constB21)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB21)) | v216(constB21, bitIndex2) | v254(constB21))),
% 48.86/31.94 inference(transitivity,[status(thm)],[11696, 11694])).
% 48.86/31.94 tff(11698,plain,
% 48.86/31.94 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB21, bitIndex2) | v254(constB21) | (~v215(constB21)))),
% 48.86/31.94 inference(quant_inst,[status(thm)],[])).
% 48.86/31.94 tff(11699,plain,
% 48.86/31.94 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB21)) | v216(constB21, bitIndex2) | v254(constB21)),
% 48.86/31.94 inference(modus_ponens,[status(thm)],[11698, 11697])).
% 48.86/31.94 tff(11700,plain,
% 48.86/31.94 ((~v215(constB21)) | v254(constB21)),
% 48.86/31.94 inference(unit_resolution,[status(thm)],[11699, 11278, 11693])).
% 48.86/31.94 tff(11701,plain,
% 48.86/31.94 (~v215(constB21)),
% 48.86/31.94 inference(unit_resolution,[status(thm)],[11700, 11673])).
% 48.86/31.94 tff(11702,plain,
% 48.86/31.94 ($false),
% 48.86/31.94 inference(unit_resolution,[status(thm)],[11701, 11536])).
% 48.86/31.94 tff(11703,plain,(~(constB21 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 48.86/31.94 tff(11704,assumption,(constB129 = sK0_VarCurr), introduced(assumption)).
% 48.86/31.94 tff(11705,plain,
% 48.86/31.94 (v215(constB129) <=> v215(sK0_VarCurr)),
% 48.86/31.94 inference(monotonicity,[status(thm)],[11704])).
% 48.86/31.94 tff(11706,plain,
% 48.86/31.94 (v215(sK0_VarCurr) <=> v215(constB129)),
% 48.86/31.94 inference(symmetry,[status(thm)],[11705])).
% 48.86/31.94 tff(11707,plain,
% 48.86/31.94 (v215(constB129)),
% 48.86/31.94 inference(modus_ponens,[status(thm)],[11268, 11706])).
% 48.86/31.94 tff(11708,assumption,(v26(constB87)), introduced(assumption)).
% 48.86/31.94 tff(11709,plain,
% 48.86/31.94 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB87))),
% 48.86/31.94 inference(quant_inst,[status(thm)],[])).
% 48.86/31.94 tff(11710,plain,
% 48.86/31.94 ($false),
% 48.86/31.94 inference(unit_resolution,[status(thm)],[11709, 16, 11708])).
% 48.86/31.94 tff(11711,plain,(~v26(constB87)), inference(lemma,lemma(discharge,[]))).
% 48.86/31.94 tff(11712,assumption,(v26(constB85)), introduced(assumption)).
% 48.86/31.94 tff(11713,plain,
% 48.86/31.94 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB85))),
% 48.86/31.94 inference(quant_inst,[status(thm)],[])).
% 48.86/31.94 tff(11714,plain,
% 48.86/31.94 ($false),
% 48.86/31.94 inference(unit_resolution,[status(thm)],[11713, 16, 11712])).
% 48.86/31.94 tff(11715,plain,(~v26(constB85)), inference(lemma,lemma(discharge,[]))).
% 48.86/31.94 tff(11716,assumption,(v26(constB83)), introduced(assumption)).
% 48.86/31.94 tff(11717,plain,
% 48.86/31.94 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB83))),
% 48.86/31.94 inference(quant_inst,[status(thm)],[])).
% 48.86/31.94 tff(11718,plain,
% 48.86/31.94 ($false),
% 48.86/31.94 inference(unit_resolution,[status(thm)],[11717, 16, 11716])).
% 48.86/31.94 tff(11719,plain,(~v26(constB83)), inference(lemma,lemma(discharge,[]))).
% 48.86/31.94 tff(11720,assumption,(v26(constB81)), introduced(assumption)).
% 48.86/31.94 tff(11721,plain,
% 48.86/31.94 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB81))),
% 48.86/31.94 inference(quant_inst,[status(thm)],[])).
% 48.86/31.94 tff(11722,plain,
% 48.86/31.94 ($false),
% 48.86/31.94 inference(unit_resolution,[status(thm)],[11721, 16, 11720])).
% 48.86/31.94 tff(11723,plain,(~v26(constB81)), inference(lemma,lemma(discharge,[]))).
% 48.86/31.94 tff(11724,plain,
% 48.86/31.94 (((~![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))),
% 48.86/31.94 inference(rewrite,[status(thm)],[])).
% 48.86/31.94 tff(11725,plain,
% 48.86/31.94 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB71, bitIndex0)) | (~v90(constB71, bitIndex1)) | v90(constB71, bitIndex2) | v122(constB71))),
% 48.86/31.94 inference(quant_inst,[status(thm)],[])).
% 48.86/31.94 tff(11726,plain,
% 48.86/31.94 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB71, bitIndex0)) | (~v90(constB71, bitIndex1)) | v90(constB71, bitIndex2) | v122(constB71)),
% 48.86/31.94 inference(modus_ponens,[status(thm)],[11725, 11724])).
% 48.86/31.94 tff(11727,plain,
% 48.86/31.94 (v122(constB71)),
% 48.86/31.94 inference(unit_resolution,[status(thm)],[11726, 1789, 11104, 11069, 11034])).
% 48.86/31.94 tff(11728,plain,
% 48.86/31.94 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB71) | (~v122(constB71)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB71) | (~v122(constB71)))),
% 48.86/31.94 inference(rewrite,[status(thm)],[])).
% 48.86/31.94 tff(11729,plain,
% 48.86/31.94 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB71) | (~v122(constB71)))),
% 48.86/31.94 inference(quant_inst,[status(thm)],[])).
% 48.86/31.94 tff(11730,plain,
% 48.86/31.94 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB71) | (~v122(constB71))),
% 48.86/31.94 inference(modus_ponens,[status(thm)],[11729, 11728])).
% 48.86/31.94 tff(11731,plain,
% 48.86/31.94 (v116(constB71)),
% 48.86/31.94 inference(unit_resolution,[status(thm)],[11730, 1800, 11727])).
% 48.86/31.94 tff(11732,plain,
% 48.86/31.94 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB71) | (~v116(constB71)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB71) | (~v116(constB71)))),
% 48.86/31.94 inference(rewrite,[status(thm)],[])).
% 48.86/31.94 tff(11733,plain,
% 48.86/31.94 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB71) | (~v116(constB71)))),
% 48.86/31.94 inference(quant_inst,[status(thm)],[])).
% 48.86/31.94 tff(11734,plain,
% 48.86/31.94 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB71) | (~v116(constB71))),
% 48.86/31.94 inference(modus_ponens,[status(thm)],[11733, 11732])).
% 48.86/31.94 tff(11735,plain,
% 48.86/31.94 (v115(constB71)),
% 48.86/31.94 inference(unit_resolution,[status(thm)],[11734, 188, 11731])).
% 48.86/31.94 tff(11736,plain,
% 48.86/31.94 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB71) | (~v115(constB71)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB71) | (~v115(constB71)))),
% 48.86/31.94 inference(rewrite,[status(thm)],[])).
% 48.86/31.94 tff(11737,plain,
% 48.86/31.94 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB71) | (~v115(constB71)))),
% 48.86/31.94 inference(quant_inst,[status(thm)],[])).
% 48.86/31.94 tff(11738,plain,
% 48.86/31.94 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB71) | (~v115(constB71))),
% 48.86/31.94 inference(modus_ponens,[status(thm)],[11737, 11736])).
% 48.86/31.94 tff(11739,plain,
% 48.86/31.94 (v114(constB71)),
% 48.86/31.94 inference(unit_resolution,[status(thm)],[11738, 199, 11735])).
% 48.86/31.94 tff(11740,plain,
% 48.86/31.94 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB71) | (~v114(constB71)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB71) | (~v114(constB71)))),
% 48.86/31.94 inference(rewrite,[status(thm)],[])).
% 48.86/31.94 tff(11741,plain,
% 48.86/31.94 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB71) | (~v114(constB71)))),
% 48.86/31.94 inference(quant_inst,[status(thm)],[])).
% 48.86/31.94 tff(11742,plain,
% 48.86/31.94 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB71) | (~v114(constB71))),
% 48.86/31.94 inference(modus_ponens,[status(thm)],[11741, 11740])).
% 48.86/31.94 tff(11743,plain,
% 48.86/31.94 (v113(constB71)),
% 48.86/31.94 inference(unit_resolution,[status(thm)],[11742, 210, 11739])).
% 48.86/31.94 tff(11744,assumption,(~v108(constB71)), introduced(assumption)).
% 48.86/31.94 tff(11745,plain,
% 48.86/31.94 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB71) | (~v112(constB71)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB71) | (~v112(constB71)))),
% 48.86/31.94 inference(rewrite,[status(thm)],[])).
% 48.86/31.94 tff(11746,plain,
% 48.86/31.94 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB71) | (~v112(constB71)))),
% 48.86/31.94 inference(quant_inst,[status(thm)],[])).
% 48.86/31.94 tff(11747,plain,
% 48.86/31.94 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB71) | (~v112(constB71))),
% 48.86/31.94 inference(modus_ponens,[status(thm)],[11746, 11745])).
% 48.86/31.94 tff(11748,plain,
% 48.86/31.94 (~v112(constB71)),
% 48.86/31.94 inference(unit_resolution,[status(thm)],[11747, 236, 11744])).
% 48.86/31.94 tff(11749,plain,
% 48.86/31.94 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB71) | (~v26(constB71)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB71) | (~v26(constB71)))),
% 48.86/31.94 inference(rewrite,[status(thm)],[])).
% 48.86/31.94 tff(11750,plain,
% 48.86/31.94 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB71) | (~v26(constB71)))),
% 48.86/31.94 inference(quant_inst,[status(thm)],[])).
% 48.86/31.94 tff(11751,plain,
% 48.86/31.94 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB71) | (~v26(constB71))),
% 48.86/31.94 inference(modus_ponens,[status(thm)],[11750, 11749])).
% 48.86/31.94 tff(11752,plain,
% 48.86/31.94 (~v26(constB71)),
% 48.86/31.94 inference(unit_resolution,[status(thm)],[11751, 961, 11744])).
% 48.86/31.94 tff(11753,assumption,(v113(constB71)), introduced(assumption)).
% 48.86/31.94 tff(11754,plain,
% 48.86/31.94 (((~![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))),
% 48.86/31.94 inference(rewrite,[status(thm)],[])).
% 48.86/31.94 tff(11755,plain,
% 48.86/31.94 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB71) | (~v113(constB71)) | v112(constB71))),
% 48.86/31.94 inference(quant_inst,[status(thm)],[])).
% 48.86/31.94 tff(11756,plain,
% 48.86/31.94 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB71) | (~v113(constB71)) | v112(constB71)),
% 48.86/31.94 inference(modus_ponens,[status(thm)],[11755, 11754])).
% 48.86/31.94 tff(11757,plain,
% 48.86/31.94 (v26(constB71) | v112(constB71)),
% 48.86/31.94 inference(unit_resolution,[status(thm)],[11756, 224, 11753])).
% 48.86/31.94 tff(11758,plain,
% 48.86/31.94 ($false),
% 48.86/31.94 inference(unit_resolution,[status(thm)],[11757, 11752, 11748])).
% 48.86/31.94 tff(11759,plain,(v108(constB71) | (~v113(constB71))), inference(lemma,lemma(discharge,[]))).
% 48.86/31.94 tff(11760,plain,
% 48.86/31.94 (v108(constB71)),
% 48.86/31.94 inference(unit_resolution,[status(thm)],[11759, 11743])).
% 48.86/31.94 tff(11761,plain,
% 48.86/31.94 (nextState(constB71, constB72) <=> nextState(constB71, constB72)),
% 48.86/31.94 inference(rewrite,[status(thm)],[])).
% 48.86/31.94 tff(11762,axiom,(nextState(constB71, constB72)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_71_1')).
% 48.86/31.94 tff(11763,plain,
% 48.86/31.94 (nextState(constB71, constB72)),
% 48.86/31.94 inference(modus_ponens,[status(thm)],[11762, 11761])).
% 48.86/31.94 tff(11764,plain,
% 48.86/31.94 (((~![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)))),
% 48.86/31.94 inference(rewrite,[status(thm)],[])).
% 48.86/31.94 tff(11765,plain,
% 48.86/31.94 (((~nextState(constB71, constB72)) | (~v108(constB71)) | v110(constB72)) <=> ((~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71)))),
% 48.86/31.94 inference(rewrite,[status(thm)],[])).
% 48.86/31.94 tff(11766,plain,
% 48.86/31.94 (((~![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))))),
% 48.86/31.94 inference(monotonicity,[status(thm)],[11765])).
% 48.86/31.94 tff(11767,plain,
% 48.86/31.94 (((~![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)))),
% 48.86/31.94 inference(transitivity,[status(thm)],[11766, 11764])).
% 48.86/31.94 tff(11768,plain,
% 48.86/31.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB71, constB72)) | (~v108(constB71)) | v110(constB72))),
% 48.86/31.94 inference(quant_inst,[status(thm)],[])).
% 48.86/31.94 tff(11769,plain,
% 48.86/31.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71))),
% 48.86/31.94 inference(modus_ponens,[status(thm)],[11768, 11767])).
% 48.86/31.94 tff(11770,plain,
% 48.86/31.94 (v110(constB72) | (~v108(constB71))),
% 48.86/31.94 inference(unit_resolution,[status(thm)],[11769, 253, 11763])).
% 48.86/31.94 tff(11771,plain,
% 48.86/31.94 (v110(constB72)),
% 48.86/31.94 inference(unit_resolution,[status(thm)],[11770, 11760])).
% 48.86/31.94 tff(11772,plain,
% 48.86/31.94 (((~![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)))),
% 48.86/31.94 inference(rewrite,[status(thm)],[])).
% 48.86/31.94 tff(11773,plain,
% 48.86/31.94 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB71) | (~nextState(constB71, constB72)) | (~v104(constB72)))),
% 48.86/31.94 inference(quant_inst,[status(thm)],[])).
% 48.86/31.94 tff(11774,plain,
% 48.86/31.94 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB71) | (~nextState(constB71, constB72)) | (~v104(constB72))),
% 48.86/31.94 inference(modus_ponens,[status(thm)],[11773, 11772])).
% 48.86/31.94 tff(11775,plain,
% 48.86/31.94 (~v104(constB72)),
% 48.86/31.94 inference(unit_resolution,[status(thm)],[11774, 271, 11763, 11010])).
% 48.86/31.94 tff(11776,plain,
% 48.86/31.94 (((~![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))),
% 48.86/31.94 inference(rewrite,[status(thm)],[])).
% 48.86/31.94 tff(11777,plain,
% 48.86/31.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB71, constB72)) | v102(constB72) | v104(constB72))),
% 48.86/31.94 inference(quant_inst,[status(thm)],[])).
% 48.86/31.94 tff(11778,plain,
% 48.86/31.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB71, constB72)) | v102(constB72) | v104(constB72)),
% 48.86/31.94 inference(modus_ponens,[status(thm)],[11777, 11776])).
% 48.86/31.94 tff(11779,plain,
% 48.86/31.94 (v102(constB72) | v104(constB72)),
% 48.86/31.94 inference(unit_resolution,[status(thm)],[11778, 285, 11763])).
% 48.86/31.94 tff(11780,plain,
% 48.86/31.94 (v102(constB72)),
% 48.86/31.94 inference(unit_resolution,[status(thm)],[11779, 11775])).
% 48.86/31.94 tff(11781,plain,
% 48.86/31.94 (v1(constB72) <=> v1(constB72)),
% 48.86/31.94 inference(rewrite,[status(thm)],[])).
% 48.86/31.94 tff(11782,axiom,(v1(constB72)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_72_1')).
% 48.86/31.94 tff(11783,plain,
% 48.86/31.94 (v1(constB72)),
% 48.86/31.94 inference(modus_ponens,[status(thm)],[11782, 11781])).
% 48.86/31.94 tff(11784,plain,
% 48.86/31.94 (((~![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)))),
% 48.86/31.94 inference(rewrite,[status(thm)],[])).
% 48.86/31.94 tff(11785,plain,
% 48.86/31.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB71, constB72)) | v101(constB72) | (~v102(constB72)) | (~v1(constB72)))),
% 48.86/31.94 inference(quant_inst,[status(thm)],[])).
% 48.86/31.94 tff(11786,plain,
% 48.86/31.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB71, constB72)) | v101(constB72) | (~v102(constB72)) | (~v1(constB72))),
% 48.86/31.94 inference(modus_ponens,[status(thm)],[11785, 11784])).
% 48.86/31.94 tff(11787,plain,
% 48.86/31.94 (v101(constB72) | (~v102(constB72))),
% 48.86/31.94 inference(unit_resolution,[status(thm)],[11786, 303, 11763, 11783])).
% 48.86/31.94 tff(11788,plain,
% 48.86/31.94 (v101(constB72)),
% 48.86/31.94 inference(unit_resolution,[status(thm)],[11787, 11780])).
% 48.86/31.94 tff(11789,plain,
% 48.86/31.94 (((~![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)))),
% 48.86/31.94 inference(rewrite,[status(thm)],[])).
% 48.86/31.94 tff(11790,plain,
% 48.86/31.94 (((~nextState(constB71, constB72)) | (~v101(constB72)) | (~v110(constB72)) | v100(constB72)) <=> ((~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72)))),
% 48.86/31.94 inference(rewrite,[status(thm)],[])).
% 48.86/31.94 tff(11791,plain,
% 48.86/31.94 (((~![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))))),
% 48.86/31.94 inference(monotonicity,[status(thm)],[11790])).
% 48.86/31.94 tff(11792,plain,
% 48.86/31.94 (((~![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)))),
% 48.86/31.94 inference(transitivity,[status(thm)],[11791, 11789])).
% 48.86/31.94 tff(11793,plain,
% 48.86/31.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | (~v101(constB72)) | (~v110(constB72)) | v100(constB72))),
% 48.86/31.94 inference(quant_inst,[status(thm)],[])).
% 48.86/31.94 tff(11794,plain,
% 48.86/31.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72))),
% 48.86/31.94 inference(modus_ponens,[status(thm)],[11793, 11792])).
% 48.86/31.94 tff(11795,plain,
% 48.86/31.94 (v100(constB72) | (~v101(constB72)) | (~v110(constB72))),
% 48.86/31.94 inference(unit_resolution,[status(thm)],[11794, 318, 11763])).
% 48.86/31.94 tff(11796,plain,
% 48.86/31.94 (v100(constB72) | (~v110(constB72))),
% 48.86/31.94 inference(unit_resolution,[status(thm)],[11795, 11788])).
% 48.86/31.94 tff(11797,plain,
% 48.86/31.94 (v100(constB72)),
% 48.86/31.94 inference(unit_resolution,[status(thm)],[11796, 11771])).
% 48.86/31.94 tff(11798,plain,
% 48.86/31.94 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB71)) | v130(constB71, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB71)) | v130(constB71, bitIndex2))),
% 48.86/31.94 inference(rewrite,[status(thm)],[])).
% 48.86/31.94 tff(11799,plain,
% 48.86/31.94 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB71)) | v130(constB71, bitIndex2))),
% 48.86/31.94 inference(quant_inst,[status(thm)],[])).
% 48.86/31.94 tff(11800,plain,
% 48.86/31.94 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB71)) | v130(constB71, bitIndex2)),
% 48.86/31.94 inference(modus_ponens,[status(thm)],[11799, 11798])).
% 48.86/31.94 tff(11801,plain,
% 48.86/31.94 (v130(constB71, bitIndex2)),
% 48.86/31.94 inference(unit_resolution,[status(thm)],[11800, 1876, 11727])).
% 48.86/31.94 tff(11802,assumption,(v26(constB71)), introduced(assumption)).
% 48.86/31.94 tff(11803,plain,
% 48.86/31.94 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB71))),
% 48.86/31.94 inference(quant_inst,[status(thm)],[])).
% 48.86/31.94 tff(11804,plain,
% 48.86/31.94 ($false),
% 48.86/31.94 inference(unit_resolution,[status(thm)],[11803, 16, 11802])).
% 48.86/31.94 tff(11805,plain,(~v26(constB71)), inference(lemma,lemma(discharge,[]))).
% 48.86/31.94 tff(11806,plain,
% 48.86/31.94 (((~![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))),
% 48.86/31.94 inference(rewrite,[status(thm)],[])).
% 48.86/31.94 tff(11807,plain,
% 48.86/31.94 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB71) | (~v130(constB71, bitIndex2)) | v127(constB71, bitIndex2))),
% 48.86/31.94 inference(quant_inst,[status(thm)],[])).
% 48.86/31.94 tff(11808,plain,
% 48.86/31.94 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB71) | (~v130(constB71, bitIndex2)) | v127(constB71, bitIndex2)),
% 48.86/31.94 inference(modus_ponens,[status(thm)],[11807, 11806])).
% 48.86/31.94 tff(11809,plain,
% 48.86/31.94 ((~v130(constB71, bitIndex2)) | v127(constB71, bitIndex2)),
% 48.86/31.94 inference(unit_resolution,[status(thm)],[11808, 351, 11805])).
% 48.86/31.94 tff(11810,plain,
% 48.86/31.94 (v127(constB71, bitIndex2)),
% 48.86/31.94 inference(unit_resolution,[status(thm)],[11809, 11801])).
% 48.86/31.94 tff(11811,plain,
% 48.86/31.94 (((~![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))),
% 48.86/31.94 inference(rewrite,[status(thm)],[])).
% 48.86/31.94 tff(11812,plain,
% 48.86/31.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB71, constB72)) | (~v127(constB71, bitIndex2)) | v129(constB72, bitIndex2))),
% 48.86/31.94 inference(quant_inst,[status(thm)],[])).
% 48.86/31.94 tff(11813,plain,
% 48.86/31.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB71, constB72)) | (~v127(constB71, bitIndex2)) | v129(constB72, bitIndex2)),
% 48.86/31.94 inference(modus_ponens,[status(thm)],[11812, 11811])).
% 48.86/31.94 tff(11814,plain,
% 48.86/31.94 ((~v127(constB71, bitIndex2)) | v129(constB72, bitIndex2)),
% 48.86/31.94 inference(unit_resolution,[status(thm)],[11813, 366, 11763])).
% 48.86/31.94 tff(11815,plain,
% 48.86/31.94 (v129(constB72, bitIndex2)),
% 48.86/31.94 inference(unit_resolution,[status(thm)],[11814, 11810])).
% 48.86/31.94 tff(11816,plain,
% 48.86/31.94 (((~![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)))),
% 48.86/31.94 inference(rewrite,[status(thm)],[])).
% 48.86/31.94 tff(11817,plain,
% 48.86/31.94 ((v90(constB72, bitIndex2) | (~v100(constB72)) | (~v129(constB72, bitIndex2))) <=> (v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2)) | (~v100(constB72)))),
% 48.86/31.94 inference(rewrite,[status(thm)],[])).
% 48.86/31.94 tff(11818,plain,
% 48.86/31.94 (((~![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))))),
% 48.86/31.94 inference(monotonicity,[status(thm)],[11817])).
% 48.86/31.94 tff(11819,plain,
% 48.86/31.94 (((~![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)))),
% 48.86/31.94 inference(transitivity,[status(thm)],[11818, 11816])).
% 48.86/31.94 tff(11820,plain,
% 48.86/31.94 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB72, bitIndex2) | (~v100(constB72)) | (~v129(constB72, bitIndex2)))),
% 48.86/31.94 inference(quant_inst,[status(thm)],[])).
% 48.86/31.94 tff(11821,plain,
% 48.86/31.94 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB72, bitIndex2) | (~v129(constB72, bitIndex2)) | (~v100(constB72))),
% 48.86/31.94 inference(modus_ponens,[status(thm)],[11820, 11819])).
% 48.86/31.94 tff(11822,plain,
% 48.86/31.94 (v90(constB72, bitIndex2) | (~v100(constB72))),
% 48.86/31.94 inference(unit_resolution,[status(thm)],[11821, 381, 11815])).
% 48.86/31.94 tff(11823,plain,
% 48.86/31.94 (v90(constB72, bitIndex2)),
% 48.86/31.94 inference(unit_resolution,[status(thm)],[11822, 11797])).
% 48.86/31.94 tff(11824,plain,
% 48.86/31.94 ((~v1(constB73)) <=> (~v1(constB73))),
% 48.86/31.94 inference(rewrite,[status(thm)],[])).
% 48.86/31.94 tff(11825,axiom,(~v1(constB73)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_73_1_1')).
% 48.86/31.94 tff(11826,plain,
% 48.86/31.94 (~v1(constB73)),
% 48.86/31.94 inference(modus_ponens,[status(thm)],[11825, 11824])).
% 48.86/31.94 tff(11827,plain,
% 48.86/31.94 (nextState(constB72, constB73) <=> nextState(constB72, constB73)),
% 48.86/31.94 inference(rewrite,[status(thm)],[])).
% 48.86/31.94 tff(11828,axiom,(nextState(constB72, constB73)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_72_1')).
% 48.86/31.94 tff(11829,plain,
% 48.86/31.94 (nextState(constB72, constB73)),
% 48.86/31.94 inference(modus_ponens,[status(thm)],[11828, 11827])).
% 48.86/31.94 tff(11830,plain,
% 48.86/31.94 (((~![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)))),
% 48.86/31.94 inference(rewrite,[status(thm)],[])).
% 48.86/31.94 tff(11831,plain,
% 48.86/31.94 (((~nextState(constB72, constB73)) | (~v101(constB73)) | v1(constB73)) <=> (v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73)))),
% 48.86/31.94 inference(rewrite,[status(thm)],[])).
% 48.86/31.94 tff(11832,plain,
% 48.86/31.94 (((~![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))))),
% 48.86/31.94 inference(monotonicity,[status(thm)],[11831])).
% 48.86/31.94 tff(11833,plain,
% 48.86/31.94 (((~![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)))),
% 48.86/31.94 inference(transitivity,[status(thm)],[11832, 11830])).
% 48.86/31.94 tff(11834,plain,
% 48.86/31.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB72, constB73)) | (~v101(constB73)) | v1(constB73))),
% 48.86/31.94 inference(quant_inst,[status(thm)],[])).
% 48.86/31.94 tff(11835,plain,
% 48.86/31.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73))),
% 48.86/31.94 inference(modus_ponens,[status(thm)],[11834, 11833])).
% 48.86/31.94 tff(11836,plain,
% 48.86/31.94 (~v101(constB73)),
% 48.86/31.94 inference(unit_resolution,[status(thm)],[11835, 49, 11829, 11826])).
% 48.86/31.94 tff(11837,plain,
% 48.86/31.94 (((~![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)))),
% 48.86/31.94 inference(rewrite,[status(thm)],[])).
% 48.86/31.94 tff(11838,plain,
% 48.86/31.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB72, constB73)) | v101(constB73) | (~v100(constB73)))),
% 48.86/31.94 inference(quant_inst,[status(thm)],[])).
% 48.86/31.94 tff(11839,plain,
% 48.86/31.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB72, constB73)) | v101(constB73) | (~v100(constB73))),
% 48.86/31.94 inference(modus_ponens,[status(thm)],[11838, 11837])).
% 48.86/31.94 tff(11840,plain,
% 48.86/31.94 (v101(constB73) | (~v100(constB73))),
% 48.86/31.94 inference(unit_resolution,[status(thm)],[11839, 66, 11829])).
% 48.86/31.94 tff(11841,plain,
% 48.86/31.94 (~v100(constB73)),
% 48.86/31.94 inference(unit_resolution,[status(thm)],[11840, 11836])).
% 48.86/31.94 tff(11842,plain,
% 48.86/31.94 (((~![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))),
% 48.86/31.94 inference(rewrite,[status(thm)],[])).
% 48.86/31.94 tff(11843,plain,
% 48.86/31.94 (((~nextState(constB72, constB73)) | (~v90(constB72, bitIndex2)) | v100(constB73) | v90(constB73, bitIndex2)) <=> ((~v90(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, bitIndex2))),
% 48.86/31.94 inference(rewrite,[status(thm)],[])).
% 48.86/31.94 tff(11844,plain,
% 48.86/31.94 (((~![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)))),
% 48.86/31.94 inference(monotonicity,[status(thm)],[11843])).
% 48.86/31.94 tff(11845,plain,
% 48.86/31.94 (((~![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))),
% 48.86/31.94 inference(transitivity,[status(thm)],[11844, 11842])).
% 48.86/31.94 tff(11846,plain,
% 48.86/31.94 ((~![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))),
% 48.86/31.94 inference(quant_inst,[status(thm)],[])).
% 48.86/31.94 tff(11847,plain,
% 48.86/31.94 ((~![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)),
% 48.86/31.95 inference(modus_ponens,[status(thm)],[11846, 11845])).
% 48.86/31.95 tff(11848,plain,
% 48.86/31.95 ((~v90(constB72, bitIndex2)) | v100(constB73) | v90(constB73, bitIndex2)),
% 48.86/31.95 inference(unit_resolution,[status(thm)],[11847, 417, 11829])).
% 48.86/31.95 tff(11849,plain,
% 48.86/31.95 ((~v90(constB72, bitIndex2)) | v90(constB73, bitIndex2)),
% 48.86/31.95 inference(unit_resolution,[status(thm)],[11848, 11841])).
% 48.86/31.95 tff(11850,plain,
% 48.86/31.95 (v90(constB73, bitIndex2)),
% 48.86/31.95 inference(unit_resolution,[status(thm)],[11849, 11823])).
% 48.86/31.95 tff(11851,plain,
% 48.86/31.95 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB71)) | (~v130(constB71, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB71)) | (~v130(constB71, bitIndex1)))),
% 48.86/31.95 inference(rewrite,[status(thm)],[])).
% 48.86/31.95 tff(11852,plain,
% 48.86/31.95 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB71)) | (~v130(constB71, bitIndex1)))),
% 48.86/31.95 inference(quant_inst,[status(thm)],[])).
% 48.86/31.95 tff(11853,plain,
% 48.86/31.95 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB71)) | (~v130(constB71, bitIndex1))),
% 48.86/31.95 inference(modus_ponens,[status(thm)],[11852, 11851])).
% 48.86/31.95 tff(11854,plain,
% 48.86/31.95 (~v130(constB71, bitIndex1)),
% 48.86/31.95 inference(unit_resolution,[status(thm)],[11853, 1935, 11727])).
% 48.86/31.95 tff(11855,plain,
% 48.86/31.95 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB71, bitIndex1)) | v26(constB71) | v130(constB71, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB71, bitIndex1)) | v26(constB71) | v130(constB71, bitIndex1))),
% 48.86/31.95 inference(rewrite,[status(thm)],[])).
% 48.86/31.95 tff(11856,plain,
% 48.86/31.95 ((v26(constB71) | v130(constB71, bitIndex1) | (~v127(constB71, bitIndex1))) <=> ((~v127(constB71, bitIndex1)) | v26(constB71) | v130(constB71, bitIndex1))),
% 48.86/31.95 inference(rewrite,[status(thm)],[])).
% 48.86/31.95 tff(11857,plain,
% 48.86/31.95 (((~![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)))) | ((~v127(constB71, bitIndex1)) | v26(constB71) | v130(constB71, bitIndex1)))),
% 48.86/31.95 inference(monotonicity,[status(thm)],[11856])).
% 48.86/31.95 tff(11858,plain,
% 48.86/31.95 (((~![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)))) | (~v127(constB71, bitIndex1)) | v26(constB71) | v130(constB71, bitIndex1))),
% 48.86/31.95 inference(transitivity,[status(thm)],[11857, 11855])).
% 48.86/31.95 tff(11859,plain,
% 48.86/31.95 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB71) | v130(constB71, bitIndex1) | (~v127(constB71, bitIndex1)))),
% 48.86/31.95 inference(quant_inst,[status(thm)],[])).
% 48.86/31.95 tff(11860,plain,
% 48.86/31.95 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB71, bitIndex1)) | v26(constB71) | v130(constB71, bitIndex1)),
% 48.86/31.95 inference(modus_ponens,[status(thm)],[11859, 11858])).
% 48.86/31.95 tff(11861,plain,
% 48.86/31.95 ((~v127(constB71, bitIndex1)) | v130(constB71, bitIndex1)),
% 48.86/31.95 inference(unit_resolution,[status(thm)],[11860, 450, 11805])).
% 48.86/31.95 tff(11862,plain,
% 48.86/31.95 (~v127(constB71, bitIndex1)),
% 48.86/31.95 inference(unit_resolution,[status(thm)],[11861, 11854])).
% 48.86/31.95 tff(11863,plain,
% 48.86/31.95 (((~![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)))),
% 48.86/31.95 inference(rewrite,[status(thm)],[])).
% 48.86/31.95 tff(11864,plain,
% 48.86/31.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB71, constB72)) | v127(constB71, bitIndex1) | (~v129(constB72, bitIndex1)))),
% 48.86/31.95 inference(quant_inst,[status(thm)],[])).
% 48.86/31.95 tff(11865,plain,
% 48.86/31.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB71, constB72)) | v127(constB71, bitIndex1) | (~v129(constB72, bitIndex1))),
% 48.86/31.95 inference(modus_ponens,[status(thm)],[11864, 11863])).
% 48.86/31.95 tff(11866,plain,
% 48.86/31.95 (v127(constB71, bitIndex1) | (~v129(constB72, bitIndex1))),
% 48.86/31.95 inference(unit_resolution,[status(thm)],[11865, 468, 11763])).
% 48.86/31.95 tff(11867,plain,
% 48.86/31.95 (~v129(constB72, bitIndex1)),
% 48.86/31.95 inference(unit_resolution,[status(thm)],[11866, 11862])).
% 48.86/31.95 tff(11868,plain,
% 48.86/31.95 (((~![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)))),
% 48.86/31.95 inference(rewrite,[status(thm)],[])).
% 48.86/31.95 tff(11869,plain,
% 48.86/31.95 (((~v90(constB72, bitIndex1)) | (~v100(constB72)) | v129(constB72, bitIndex1)) <=> ((~v90(constB72, bitIndex1)) | v129(constB72, bitIndex1) | (~v100(constB72)))),
% 48.86/31.95 inference(rewrite,[status(thm)],[])).
% 48.86/31.95 tff(11870,plain,
% 48.86/31.95 (((~![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))))),
% 48.86/31.95 inference(monotonicity,[status(thm)],[11869])).
% 48.86/31.95 tff(11871,plain,
% 48.86/31.95 (((~![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)))),
% 48.86/31.95 inference(transitivity,[status(thm)],[11870, 11868])).
% 48.86/31.95 tff(11872,plain,
% 48.86/31.95 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB72, bitIndex1)) | (~v100(constB72)) | v129(constB72, bitIndex1))),
% 48.86/31.95 inference(quant_inst,[status(thm)],[])).
% 48.86/31.95 tff(11873,plain,
% 48.86/31.95 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB72, bitIndex1)) | v129(constB72, bitIndex1) | (~v100(constB72))),
% 48.86/31.95 inference(modus_ponens,[status(thm)],[11872, 11871])).
% 48.86/31.95 tff(11874,plain,
% 48.86/31.95 ((~v90(constB72, bitIndex1)) | (~v100(constB72))),
% 48.86/31.95 inference(unit_resolution,[status(thm)],[11873, 483, 11867])).
% 48.86/31.95 tff(11875,plain,
% 48.86/31.95 (~v90(constB72, bitIndex1)),
% 48.86/31.95 inference(unit_resolution,[status(thm)],[11874, 11797])).
% 48.86/31.95 tff(11876,plain,
% 48.86/31.95 (((~![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)))),
% 48.86/31.95 inference(rewrite,[status(thm)],[])).
% 48.86/31.95 tff(11877,plain,
% 48.86/31.95 (((~nextState(constB72, constB73)) | v90(constB72, bitIndex1) | v100(constB73) | (~v90(constB73, bitIndex1))) <=> (v90(constB72, bitIndex1) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex1)))),
% 48.86/31.95 inference(rewrite,[status(thm)],[])).
% 48.86/31.95 tff(11878,plain,
% 48.86/31.95 (((~![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))))),
% 48.86/31.95 inference(monotonicity,[status(thm)],[11877])).
% 48.86/31.95 tff(11879,plain,
% 48.86/31.95 (((~![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)))),
% 48.86/31.95 inference(transitivity,[status(thm)],[11878, 11876])).
% 48.86/31.95 tff(11880,plain,
% 48.86/31.95 ((~![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)))),
% 48.86/31.95 inference(quant_inst,[status(thm)],[])).
% 48.86/31.95 tff(11881,plain,
% 48.86/31.95 ((~![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))),
% 48.86/31.95 inference(modus_ponens,[status(thm)],[11880, 11879])).
% 48.86/31.95 tff(11882,plain,
% 48.86/31.95 (v90(constB72, bitIndex1) | v100(constB73) | (~v90(constB73, bitIndex1))),
% 48.86/31.95 inference(unit_resolution,[status(thm)],[11881, 102, 11829])).
% 48.86/31.95 tff(11883,plain,
% 48.86/31.95 (v90(constB72, bitIndex1) | (~v90(constB73, bitIndex1))),
% 48.86/31.95 inference(unit_resolution,[status(thm)],[11882, 11841])).
% 48.86/31.95 tff(11884,plain,
% 48.86/31.95 (~v90(constB73, bitIndex1)),
% 48.86/31.95 inference(unit_resolution,[status(thm)],[11883, 11875])).
% 48.86/31.95 tff(11885,plain,
% 48.86/31.95 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB71)) | (~v130(constB71, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB71)) | (~v130(constB71, bitIndex0)))),
% 48.86/31.95 inference(rewrite,[status(thm)],[])).
% 48.86/31.95 tff(11886,plain,
% 48.86/31.95 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB71)) | (~v130(constB71, bitIndex0)))),
% 48.86/31.95 inference(quant_inst,[status(thm)],[])).
% 48.86/31.95 tff(11887,plain,
% 48.86/31.95 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB71)) | (~v130(constB71, bitIndex0))),
% 48.86/31.95 inference(modus_ponens,[status(thm)],[11886, 11885])).
% 48.86/31.95 tff(11888,plain,
% 48.86/31.95 (~v130(constB71, bitIndex0)),
% 48.86/31.95 inference(unit_resolution,[status(thm)],[11887, 1997, 11727])).
% 48.86/31.95 tff(11889,plain,
% 48.86/31.95 (((~![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))),
% 48.86/31.95 inference(rewrite,[status(thm)],[])).
% 48.86/31.95 tff(11890,plain,
% 48.86/31.95 ((v26(constB71) | v130(constB71, bitIndex0) | (~v127(constB71, bitIndex0))) <=> ((~v127(constB71, bitIndex0)) | v26(constB71) | v130(constB71, bitIndex0))),
% 48.86/31.95 inference(rewrite,[status(thm)],[])).
% 48.86/31.95 tff(11891,plain,
% 48.86/31.95 (((~![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)))),
% 48.86/31.95 inference(monotonicity,[status(thm)],[11890])).
% 48.86/31.95 tff(11892,plain,
% 48.86/31.95 (((~![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))),
% 48.86/31.95 inference(transitivity,[status(thm)],[11891, 11889])).
% 48.86/31.95 tff(11893,plain,
% 48.86/31.95 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB71) | v130(constB71, bitIndex0) | (~v127(constB71, bitIndex0)))),
% 48.86/31.95 inference(quant_inst,[status(thm)],[])).
% 48.86/31.95 tff(11894,plain,
% 48.86/31.95 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB71, bitIndex0)) | v26(constB71) | v130(constB71, bitIndex0)),
% 48.86/31.95 inference(modus_ponens,[status(thm)],[11893, 11892])).
% 48.86/31.95 tff(11895,plain,
% 48.86/31.95 ((~v127(constB71, bitIndex0)) | v130(constB71, bitIndex0)),
% 48.86/31.95 inference(unit_resolution,[status(thm)],[11894, 524, 11805])).
% 48.86/31.95 tff(11896,plain,
% 48.86/31.95 (~v127(constB71, bitIndex0)),
% 48.86/31.95 inference(unit_resolution,[status(thm)],[11895, 11888])).
% 48.86/31.95 tff(11897,plain,
% 48.86/31.95 (((~![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)))),
% 48.86/31.95 inference(rewrite,[status(thm)],[])).
% 48.86/31.95 tff(11898,plain,
% 48.86/31.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB71, constB72)) | v127(constB71, bitIndex0) | (~v129(constB72, bitIndex0)))),
% 48.86/31.95 inference(quant_inst,[status(thm)],[])).
% 48.86/31.95 tff(11899,plain,
% 48.86/31.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB71, constB72)) | v127(constB71, bitIndex0) | (~v129(constB72, bitIndex0))),
% 48.86/31.95 inference(modus_ponens,[status(thm)],[11898, 11897])).
% 48.86/31.95 tff(11900,plain,
% 48.86/31.95 (v127(constB71, bitIndex0) | (~v129(constB72, bitIndex0))),
% 48.86/31.95 inference(unit_resolution,[status(thm)],[11899, 542, 11763])).
% 48.86/31.95 tff(11901,plain,
% 48.86/31.95 (~v129(constB72, bitIndex0)),
% 48.86/31.95 inference(unit_resolution,[status(thm)],[11900, 11896])).
% 48.86/31.95 tff(11902,plain,
% 48.86/31.95 (((~![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)))),
% 48.86/31.95 inference(rewrite,[status(thm)],[])).
% 48.86/31.95 tff(11903,plain,
% 48.86/31.95 (((~v90(constB72, bitIndex0)) | (~v100(constB72)) | v129(constB72, bitIndex0)) <=> ((~v90(constB72, bitIndex0)) | v129(constB72, bitIndex0) | (~v100(constB72)))),
% 48.86/31.95 inference(rewrite,[status(thm)],[])).
% 48.86/31.95 tff(11904,plain,
% 48.86/31.95 (((~![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))))),
% 48.86/31.95 inference(monotonicity,[status(thm)],[11903])).
% 48.86/31.95 tff(11905,plain,
% 48.86/31.95 (((~![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)))),
% 48.86/31.95 inference(transitivity,[status(thm)],[11904, 11902])).
% 48.86/31.95 tff(11906,plain,
% 48.86/31.95 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB72, bitIndex0)) | (~v100(constB72)) | v129(constB72, bitIndex0))),
% 48.86/31.95 inference(quant_inst,[status(thm)],[])).
% 48.86/31.95 tff(11907,plain,
% 48.86/31.95 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB72, bitIndex0)) | v129(constB72, bitIndex0) | (~v100(constB72))),
% 48.86/31.95 inference(modus_ponens,[status(thm)],[11906, 11905])).
% 48.86/31.95 tff(11908,plain,
% 48.86/31.95 ((~v90(constB72, bitIndex0)) | (~v100(constB72))),
% 48.86/31.95 inference(unit_resolution,[status(thm)],[11907, 557, 11901])).
% 48.86/31.95 tff(11909,plain,
% 48.86/31.95 (~v90(constB72, bitIndex0)),
% 48.86/31.95 inference(unit_resolution,[status(thm)],[11908, 11797])).
% 48.86/31.95 tff(11910,plain,
% 48.86/31.95 (((~![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)))),
% 48.86/31.95 inference(rewrite,[status(thm)],[])).
% 48.86/31.95 tff(11911,plain,
% 48.86/31.95 (((~nextState(constB72, constB73)) | v90(constB72, bitIndex0) | v100(constB73) | (~v90(constB73, bitIndex0))) <=> (v90(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, bitIndex0)))),
% 48.86/31.95 inference(rewrite,[status(thm)],[])).
% 48.86/31.95 tff(11912,plain,
% 48.86/31.95 (((~![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))))),
% 48.86/31.95 inference(monotonicity,[status(thm)],[11911])).
% 48.86/31.95 tff(11913,plain,
% 48.86/31.95 (((~![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)))),
% 48.86/31.95 inference(transitivity,[status(thm)],[11912, 11910])).
% 48.86/31.95 tff(11914,plain,
% 48.86/31.95 ((~![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)))),
% 48.86/31.95 inference(quant_inst,[status(thm)],[])).
% 48.86/31.95 tff(11915,plain,
% 48.86/31.95 ((~![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))),
% 48.86/31.95 inference(modus_ponens,[status(thm)],[11914, 11913])).
% 48.86/31.95 tff(11916,plain,
% 48.86/31.95 (v90(constB72, bitIndex0) | v100(constB73) | (~v90(constB73, bitIndex0))),
% 48.86/31.95 inference(unit_resolution,[status(thm)],[11915, 123, 11829])).
% 48.86/31.95 tff(11917,plain,
% 48.86/31.95 (v90(constB72, bitIndex0) | (~v90(constB73, bitIndex0))),
% 48.86/31.95 inference(unit_resolution,[status(thm)],[11916, 11841])).
% 48.86/31.95 tff(11918,plain,
% 48.86/31.95 (~v90(constB73, bitIndex0)),
% 48.86/31.95 inference(unit_resolution,[status(thm)],[11917, 11909])).
% 48.86/31.95 tff(11919,plain,
% 48.86/31.95 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB73, bitIndex0) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex2)) | v123(constB73))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB73, bitIndex0) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex2)) | v123(constB73))),
% 48.86/31.95 inference(rewrite,[status(thm)],[])).
% 48.86/31.95 tff(11920,plain,
% 48.86/31.95 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB73, bitIndex0) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex2)) | v123(constB73))),
% 48.86/31.95 inference(quant_inst,[status(thm)],[])).
% 48.86/31.95 tff(11921,plain,
% 48.86/31.95 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB73, bitIndex0) | v90(constB73, bitIndex1) | (~v90(constB73, bitIndex2)) | v123(constB73)),
% 48.86/31.95 inference(modus_ponens,[status(thm)],[11920, 11919])).
% 48.86/31.95 tff(11922,plain,
% 48.86/31.95 (v123(constB73)),
% 48.86/31.95 inference(unit_resolution,[status(thm)],[11921, 584, 11918, 11884, 11850])).
% 48.86/31.95 tff(11923,plain,
% 48.86/31.95 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB73) | (~v123(constB73)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB73) | (~v123(constB73)))),
% 48.86/31.95 inference(rewrite,[status(thm)],[])).
% 48.86/31.95 tff(11924,plain,
% 48.86/31.95 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB73) | (~v123(constB73)))),
% 48.86/31.95 inference(quant_inst,[status(thm)],[])).
% 48.86/31.95 tff(11925,plain,
% 48.86/31.95 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB73) | (~v123(constB73))),
% 48.86/31.95 inference(modus_ponens,[status(thm)],[11924, 11923])).
% 48.86/31.95 tff(11926,plain,
% 48.86/31.95 (v115(constB73)),
% 48.86/31.95 inference(unit_resolution,[status(thm)],[11925, 595, 11922])).
% 48.86/31.95 tff(11927,plain,
% 48.86/31.95 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB73) | (~v115(constB73)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB73) | (~v115(constB73)))),
% 48.86/31.95 inference(rewrite,[status(thm)],[])).
% 48.86/31.95 tff(11928,plain,
% 48.86/31.95 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB73) | (~v115(constB73)))),
% 48.86/31.95 inference(quant_inst,[status(thm)],[])).
% 48.86/31.95 tff(11929,plain,
% 48.86/31.95 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB73) | (~v115(constB73))),
% 48.86/31.95 inference(modus_ponens,[status(thm)],[11928, 11927])).
% 48.86/31.95 tff(11930,plain,
% 48.86/31.95 (v114(constB73)),
% 48.86/31.95 inference(unit_resolution,[status(thm)],[11929, 199, 11926])).
% 48.86/31.95 tff(11931,plain,
% 48.86/31.95 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB73) | (~v114(constB73)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB73) | (~v114(constB73)))),
% 48.86/31.95 inference(rewrite,[status(thm)],[])).
% 48.86/31.95 tff(11932,plain,
% 48.86/31.95 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB73) | (~v114(constB73)))),
% 48.86/31.95 inference(quant_inst,[status(thm)],[])).
% 48.86/31.95 tff(11933,plain,
% 48.86/31.95 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB73) | (~v114(constB73))),
% 48.86/31.95 inference(modus_ponens,[status(thm)],[11932, 11931])).
% 48.86/31.95 tff(11934,plain,
% 48.86/31.95 (v113(constB73)),
% 48.86/31.95 inference(unit_resolution,[status(thm)],[11933, 210, 11930])).
% 48.86/31.95 tff(11935,assumption,(v26(constB73)), introduced(assumption)).
% 48.86/31.95 tff(11936,plain,
% 48.86/31.95 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB73))),
% 48.86/31.95 inference(quant_inst,[status(thm)],[])).
% 48.86/31.95 tff(11937,plain,
% 48.86/31.95 ($false),
% 48.86/31.95 inference(unit_resolution,[status(thm)],[11936, 16, 11935])).
% 48.86/31.95 tff(11938,plain,(~v26(constB73)), inference(lemma,lemma(discharge,[]))).
% 48.86/31.95 tff(11939,plain,
% 48.86/31.95 (((~![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))),
% 48.86/31.95 inference(rewrite,[status(thm)],[])).
% 48.86/31.95 tff(11940,plain,
% 48.86/31.95 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB73) | (~v113(constB73)) | v112(constB73))),
% 48.86/31.95 inference(quant_inst,[status(thm)],[])).
% 48.86/31.95 tff(11941,plain,
% 48.86/31.95 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB73) | (~v113(constB73)) | v112(constB73)),
% 48.86/31.95 inference(modus_ponens,[status(thm)],[11940, 11939])).
% 48.86/31.95 tff(11942,plain,
% 48.86/31.95 ((~v113(constB73)) | v112(constB73)),
% 48.86/31.95 inference(unit_resolution,[status(thm)],[11941, 224, 11938])).
% 48.86/31.95 tff(11943,plain,
% 48.86/31.95 (v112(constB73)),
% 48.86/31.95 inference(unit_resolution,[status(thm)],[11942, 11934])).
% 48.86/31.95 tff(11944,plain,
% 48.86/31.95 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB73) | (~v112(constB73)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB73) | (~v112(constB73)))),
% 48.86/31.95 inference(rewrite,[status(thm)],[])).
% 48.86/31.95 tff(11945,plain,
% 48.86/31.95 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB73) | (~v112(constB73)))),
% 48.86/31.95 inference(quant_inst,[status(thm)],[])).
% 48.86/31.95 tff(11946,plain,
% 48.86/31.95 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB73) | (~v112(constB73))),
% 48.86/31.95 inference(modus_ponens,[status(thm)],[11945, 11944])).
% 48.86/31.95 tff(11947,plain,
% 48.86/31.95 (v108(constB73)),
% 48.86/31.95 inference(unit_resolution,[status(thm)],[11946, 236, 11943])).
% 48.86/31.95 tff(11948,plain,
% 48.86/31.95 (nextState(constB73, constB74) <=> nextState(constB73, constB74)),
% 48.86/31.95 inference(rewrite,[status(thm)],[])).
% 48.86/31.95 tff(11949,axiom,(nextState(constB73, constB74)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_73_1')).
% 48.86/31.95 tff(11950,plain,
% 48.86/31.95 (nextState(constB73, constB74)),
% 48.86/31.95 inference(modus_ponens,[status(thm)],[11949, 11948])).
% 48.86/31.95 tff(11951,plain,
% 48.86/31.95 (((~![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)))),
% 48.86/31.95 inference(rewrite,[status(thm)],[])).
% 48.86/31.95 tff(11952,plain,
% 48.86/31.95 (((~nextState(constB73, constB74)) | (~v108(constB73)) | v110(constB74)) <=> ((~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73)))),
% 48.86/31.95 inference(rewrite,[status(thm)],[])).
% 48.86/31.95 tff(11953,plain,
% 48.86/31.95 (((~![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))))),
% 48.86/31.95 inference(monotonicity,[status(thm)],[11952])).
% 48.86/31.95 tff(11954,plain,
% 48.86/31.95 (((~![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)))),
% 48.86/31.95 inference(transitivity,[status(thm)],[11953, 11951])).
% 48.86/31.95 tff(11955,plain,
% 48.86/31.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | (~v108(constB73)) | v110(constB74))),
% 48.86/31.95 inference(quant_inst,[status(thm)],[])).
% 48.86/31.95 tff(11956,plain,
% 48.86/31.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73))),
% 48.86/31.95 inference(modus_ponens,[status(thm)],[11955, 11954])).
% 48.86/31.95 tff(11957,plain,
% 48.86/31.95 (v110(constB74) | (~v108(constB73))),
% 48.86/31.95 inference(unit_resolution,[status(thm)],[11956, 253, 11950])).
% 48.86/31.95 tff(11958,plain,
% 48.86/31.95 (v110(constB74)),
% 48.86/31.95 inference(unit_resolution,[status(thm)],[11957, 11947])).
% 48.86/31.95 tff(11959,plain,
% 48.86/31.95 (((~![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)))),
% 48.86/31.95 inference(rewrite,[status(thm)],[])).
% 48.86/31.95 tff(11960,plain,
% 48.86/31.95 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB73) | (~nextState(constB73, constB74)) | (~v104(constB74)))),
% 48.86/31.95 inference(quant_inst,[status(thm)],[])).
% 48.86/31.95 tff(11961,plain,
% 48.86/31.95 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB73) | (~nextState(constB73, constB74)) | (~v104(constB74))),
% 48.86/31.95 inference(modus_ponens,[status(thm)],[11960, 11959])).
% 48.86/31.95 tff(11962,plain,
% 48.86/31.95 (~v104(constB74)),
% 48.86/31.95 inference(unit_resolution,[status(thm)],[11961, 271, 11950, 11826])).
% 48.86/31.95 tff(11963,plain,
% 48.86/31.95 (((~![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))),
% 48.86/31.95 inference(rewrite,[status(thm)],[])).
% 48.86/31.95 tff(11964,plain,
% 48.86/31.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB73, constB74)) | v102(constB74) | v104(constB74))),
% 48.86/31.95 inference(quant_inst,[status(thm)],[])).
% 48.86/31.95 tff(11965,plain,
% 48.86/31.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB73, constB74)) | v102(constB74) | v104(constB74)),
% 48.86/31.96 inference(modus_ponens,[status(thm)],[11964, 11963])).
% 48.86/31.96 tff(11966,plain,
% 48.86/31.96 (v102(constB74) | v104(constB74)),
% 48.86/31.96 inference(unit_resolution,[status(thm)],[11965, 285, 11950])).
% 48.86/31.96 tff(11967,plain,
% 48.86/31.96 (v102(constB74)),
% 48.86/31.96 inference(unit_resolution,[status(thm)],[11966, 11962])).
% 48.86/31.96 tff(11968,plain,
% 48.86/31.96 (v1(constB74) <=> v1(constB74)),
% 48.86/31.96 inference(rewrite,[status(thm)],[])).
% 48.86/31.96 tff(11969,axiom,(v1(constB74)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_74_1')).
% 48.86/31.96 tff(11970,plain,
% 48.86/31.96 (v1(constB74)),
% 48.86/31.96 inference(modus_ponens,[status(thm)],[11969, 11968])).
% 48.86/31.96 tff(11971,plain,
% 48.86/31.96 (((~![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)))),
% 48.86/31.96 inference(rewrite,[status(thm)],[])).
% 48.86/31.96 tff(11972,plain,
% 48.86/31.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB73, constB74)) | v101(constB74) | (~v102(constB74)) | (~v1(constB74)))),
% 48.86/31.96 inference(quant_inst,[status(thm)],[])).
% 48.86/31.96 tff(11973,plain,
% 48.86/31.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB73, constB74)) | v101(constB74) | (~v102(constB74)) | (~v1(constB74))),
% 48.86/31.96 inference(modus_ponens,[status(thm)],[11972, 11971])).
% 48.86/31.96 tff(11974,plain,
% 48.86/31.96 (v101(constB74) | (~v102(constB74))),
% 48.86/31.96 inference(unit_resolution,[status(thm)],[11973, 303, 11950, 11970])).
% 48.86/31.96 tff(11975,plain,
% 48.86/31.96 (v101(constB74)),
% 48.86/31.96 inference(unit_resolution,[status(thm)],[11974, 11967])).
% 48.86/31.96 tff(11976,plain,
% 48.86/31.96 (((~![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)))),
% 48.86/31.96 inference(rewrite,[status(thm)],[])).
% 48.86/31.96 tff(11977,plain,
% 48.86/31.96 (((~nextState(constB73, constB74)) | (~v101(constB74)) | (~v110(constB74)) | v100(constB74)) <=> ((~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74)))),
% 48.86/31.96 inference(rewrite,[status(thm)],[])).
% 48.86/31.96 tff(11978,plain,
% 48.86/31.96 (((~![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))))),
% 48.86/31.96 inference(monotonicity,[status(thm)],[11977])).
% 48.86/31.96 tff(11979,plain,
% 48.86/31.96 (((~![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)))),
% 48.86/31.96 inference(transitivity,[status(thm)],[11978, 11976])).
% 48.86/31.96 tff(11980,plain,
% 48.86/31.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | (~v101(constB74)) | (~v110(constB74)) | v100(constB74))),
% 48.86/31.96 inference(quant_inst,[status(thm)],[])).
% 48.86/31.96 tff(11981,plain,
% 48.86/31.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74))),
% 48.86/31.96 inference(modus_ponens,[status(thm)],[11980, 11979])).
% 48.86/31.96 tff(11982,plain,
% 48.86/31.96 (v100(constB74) | (~v101(constB74)) | (~v110(constB74))),
% 48.86/31.96 inference(unit_resolution,[status(thm)],[11981, 318, 11950])).
% 48.86/31.96 tff(11983,plain,
% 48.86/31.96 (v100(constB74) | (~v110(constB74))),
% 48.86/31.96 inference(unit_resolution,[status(thm)],[11982, 11975])).
% 48.86/31.96 tff(11984,plain,
% 48.86/31.96 (v100(constB74)),
% 48.86/31.96 inference(unit_resolution,[status(thm)],[11983, 11958])).
% 48.86/31.96 tff(11985,plain,
% 48.86/31.96 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB73)) | v130(constB73, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB73)) | v130(constB73, bitIndex2))),
% 48.86/31.96 inference(rewrite,[status(thm)],[])).
% 48.86/31.96 tff(11986,plain,
% 48.86/31.96 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB73)) | v130(constB73, bitIndex2))),
% 48.86/31.96 inference(quant_inst,[status(thm)],[])).
% 48.86/31.96 tff(11987,plain,
% 48.86/31.96 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB73)) | v130(constB73, bitIndex2)),
% 48.86/31.96 inference(modus_ponens,[status(thm)],[11986, 11985])).
% 48.86/31.96 tff(11988,plain,
% 48.86/31.96 (v130(constB73, bitIndex2)),
% 48.86/31.96 inference(unit_resolution,[status(thm)],[11987, 836, 11922])).
% 48.86/31.96 tff(11989,plain,
% 48.86/31.96 (((~![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))) | v26(constB73) | (~v130(constB73, bitIndex2)) | v127(constB73, bitIndex2))),
% 48.86/31.96 inference(rewrite,[status(thm)],[])).
% 48.86/31.96 tff(11990,plain,
% 48.86/31.96 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB73) | (~v130(constB73, bitIndex2)) | v127(constB73, bitIndex2))),
% 48.86/31.96 inference(quant_inst,[status(thm)],[])).
% 48.86/31.96 tff(11991,plain,
% 48.86/31.96 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB73) | (~v130(constB73, bitIndex2)) | v127(constB73, bitIndex2)),
% 48.86/31.96 inference(modus_ponens,[status(thm)],[11990, 11989])).
% 48.86/31.96 tff(11992,plain,
% 48.86/31.96 ((~v130(constB73, bitIndex2)) | v127(constB73, bitIndex2)),
% 48.86/31.96 inference(unit_resolution,[status(thm)],[11991, 351, 11938])).
% 48.86/31.96 tff(11993,plain,
% 48.86/31.96 (v127(constB73, bitIndex2)),
% 48.86/31.96 inference(unit_resolution,[status(thm)],[11992, 11988])).
% 48.86/31.96 tff(11994,plain,
% 48.86/31.96 (((~![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))),
% 48.86/31.96 inference(rewrite,[status(thm)],[])).
% 48.86/31.96 tff(11995,plain,
% 48.86/31.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB73, constB74)) | (~v127(constB73, bitIndex2)) | v129(constB74, bitIndex2))),
% 48.86/31.96 inference(quant_inst,[status(thm)],[])).
% 48.86/31.96 tff(11996,plain,
% 48.86/31.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB73, constB74)) | (~v127(constB73, bitIndex2)) | v129(constB74, bitIndex2)),
% 48.86/31.96 inference(modus_ponens,[status(thm)],[11995, 11994])).
% 48.86/31.96 tff(11997,plain,
% 48.86/31.96 ((~v127(constB73, bitIndex2)) | v129(constB74, bitIndex2)),
% 48.86/31.96 inference(unit_resolution,[status(thm)],[11996, 366, 11950])).
% 48.86/31.96 tff(11998,plain,
% 48.86/31.96 (v129(constB74, bitIndex2)),
% 48.86/31.96 inference(unit_resolution,[status(thm)],[11997, 11993])).
% 48.86/31.96 tff(11999,plain,
% 48.86/31.96 (((~![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)))),
% 48.86/31.96 inference(rewrite,[status(thm)],[])).
% 48.86/31.96 tff(12000,plain,
% 48.86/31.96 ((v90(constB74, bitIndex2) | (~v100(constB74)) | (~v129(constB74, bitIndex2))) <=> (v90(constB74, bitIndex2) | (~v129(constB74, bitIndex2)) | (~v100(constB74)))),
% 48.86/31.96 inference(rewrite,[status(thm)],[])).
% 48.86/31.96 tff(12001,plain,
% 48.86/31.96 (((~![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))))),
% 48.86/31.96 inference(monotonicity,[status(thm)],[12000])).
% 48.86/31.96 tff(12002,plain,
% 48.86/31.96 (((~![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)))),
% 48.86/31.96 inference(transitivity,[status(thm)],[12001, 11999])).
% 48.86/31.96 tff(12003,plain,
% 48.86/31.96 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB74, bitIndex2) | (~v100(constB74)) | (~v129(constB74, bitIndex2)))),
% 48.86/31.96 inference(quant_inst,[status(thm)],[])).
% 48.86/31.96 tff(12004,plain,
% 48.86/31.96 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB74, bitIndex2) | (~v129(constB74, bitIndex2)) | (~v100(constB74))),
% 48.86/31.96 inference(modus_ponens,[status(thm)],[12003, 12002])).
% 48.86/31.96 tff(12005,plain,
% 48.86/31.96 (v90(constB74, bitIndex2) | (~v100(constB74))),
% 48.86/31.96 inference(unit_resolution,[status(thm)],[12004, 381, 11998])).
% 48.86/31.96 tff(12006,plain,
% 48.86/31.96 (v90(constB74, bitIndex2)),
% 48.86/31.96 inference(unit_resolution,[status(thm)],[12005, 11984])).
% 48.86/31.96 tff(12007,plain,
% 48.86/31.96 ((~v1(constB75)) <=> (~v1(constB75))),
% 48.86/31.96 inference(rewrite,[status(thm)],[])).
% 48.86/31.96 tff(12008,axiom,(~v1(constB75)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_75_1_1')).
% 48.86/31.96 tff(12009,plain,
% 48.86/31.96 (~v1(constB75)),
% 48.86/31.96 inference(modus_ponens,[status(thm)],[12008, 12007])).
% 48.86/31.96 tff(12010,plain,
% 48.86/31.96 (nextState(constB74, constB75) <=> nextState(constB74, constB75)),
% 48.86/31.96 inference(rewrite,[status(thm)],[])).
% 48.86/31.96 tff(12011,axiom,(nextState(constB74, constB75)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_74_1')).
% 48.86/31.96 tff(12012,plain,
% 48.86/31.96 (nextState(constB74, constB75)),
% 48.86/31.96 inference(modus_ponens,[status(thm)],[12011, 12010])).
% 48.86/31.96 tff(12013,plain,
% 48.86/31.96 (((~![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)))),
% 48.86/31.96 inference(rewrite,[status(thm)],[])).
% 48.86/31.96 tff(12014,plain,
% 48.86/31.96 (((~nextState(constB74, constB75)) | (~v101(constB75)) | v1(constB75)) <=> (v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75)))),
% 48.86/31.96 inference(rewrite,[status(thm)],[])).
% 48.86/31.96 tff(12015,plain,
% 48.86/31.96 (((~![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))))),
% 48.86/31.96 inference(monotonicity,[status(thm)],[12014])).
% 48.86/31.96 tff(12016,plain,
% 48.86/31.96 (((~![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)))),
% 48.86/31.96 inference(transitivity,[status(thm)],[12015, 12013])).
% 48.86/31.96 tff(12017,plain,
% 48.86/31.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB74, constB75)) | (~v101(constB75)) | v1(constB75))),
% 48.86/31.96 inference(quant_inst,[status(thm)],[])).
% 48.86/31.96 tff(12018,plain,
% 48.86/31.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75))),
% 48.86/31.96 inference(modus_ponens,[status(thm)],[12017, 12016])).
% 48.86/31.96 tff(12019,plain,
% 48.86/31.96 (~v101(constB75)),
% 48.86/31.96 inference(unit_resolution,[status(thm)],[12018, 49, 12012, 12009])).
% 48.86/31.96 tff(12020,plain,
% 48.86/31.96 (((~![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)))),
% 48.86/31.96 inference(rewrite,[status(thm)],[])).
% 48.86/31.96 tff(12021,plain,
% 48.86/31.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB74, constB75)) | v101(constB75) | (~v100(constB75)))),
% 48.86/31.96 inference(quant_inst,[status(thm)],[])).
% 48.86/31.96 tff(12022,plain,
% 48.86/31.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB74, constB75)) | v101(constB75) | (~v100(constB75))),
% 48.86/31.96 inference(modus_ponens,[status(thm)],[12021, 12020])).
% 48.86/31.96 tff(12023,plain,
% 48.86/31.96 (v101(constB75) | (~v100(constB75))),
% 48.86/31.96 inference(unit_resolution,[status(thm)],[12022, 66, 12012])).
% 48.86/31.96 tff(12024,plain,
% 48.86/31.96 (~v100(constB75)),
% 48.86/31.96 inference(unit_resolution,[status(thm)],[12023, 12019])).
% 48.86/31.96 tff(12025,plain,
% 48.86/31.96 (((~![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))),
% 48.86/31.96 inference(rewrite,[status(thm)],[])).
% 48.86/31.96 tff(12026,plain,
% 48.86/31.96 (((~nextState(constB74, constB75)) | (~v90(constB74, bitIndex2)) | v100(constB75) | v90(constB75, bitIndex2)) <=> ((~v90(constB74, bitIndex2)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex2))),
% 48.86/31.96 inference(rewrite,[status(thm)],[])).
% 48.86/31.96 tff(12027,plain,
% 48.86/31.96 (((~![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)))),
% 48.86/31.96 inference(monotonicity,[status(thm)],[12026])).
% 48.86/31.96 tff(12028,plain,
% 48.86/31.96 (((~![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))),
% 48.86/31.96 inference(transitivity,[status(thm)],[12027, 12025])).
% 48.86/31.96 tff(12029,plain,
% 48.86/31.96 ((~![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))),
% 48.86/31.96 inference(quant_inst,[status(thm)],[])).
% 48.86/31.96 tff(12030,plain,
% 48.86/31.96 ((~![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)),
% 48.86/31.96 inference(modus_ponens,[status(thm)],[12029, 12028])).
% 48.86/31.96 tff(12031,plain,
% 48.86/31.96 ((~v90(constB74, bitIndex2)) | v100(constB75) | v90(constB75, bitIndex2)),
% 48.86/31.96 inference(unit_resolution,[status(thm)],[12030, 417, 12012])).
% 48.86/31.96 tff(12032,plain,
% 48.86/31.96 ((~v90(constB74, bitIndex2)) | v90(constB75, bitIndex2)),
% 48.86/31.96 inference(unit_resolution,[status(thm)],[12031, 12024])).
% 48.86/31.96 tff(12033,plain,
% 48.86/31.96 (v90(constB75, bitIndex2)),
% 48.86/31.96 inference(unit_resolution,[status(thm)],[12032, 12006])).
% 48.86/31.96 tff(12034,plain,
% 48.86/31.96 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB73)) | v130(constB73, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB73)) | v130(constB73, bitIndex1))),
% 48.86/31.96 inference(rewrite,[status(thm)],[])).
% 48.86/31.96 tff(12035,plain,
% 48.86/31.96 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB73)) | v130(constB73, bitIndex1))),
% 48.86/31.96 inference(quant_inst,[status(thm)],[])).
% 48.86/31.96 tff(12036,plain,
% 48.86/31.96 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB73)) | v130(constB73, bitIndex1)),
% 48.86/31.96 inference(modus_ponens,[status(thm)],[12035, 12034])).
% 48.86/31.96 tff(12037,plain,
% 48.86/31.96 (v130(constB73, bitIndex1)),
% 48.86/31.96 inference(unit_resolution,[status(thm)],[12036, 667, 11922])).
% 48.86/31.96 tff(12038,plain,
% 48.86/31.96 (((~![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))) | v26(constB73) | (~v130(constB73, bitIndex1)) | v127(constB73, bitIndex1))),
% 48.86/31.96 inference(rewrite,[status(thm)],[])).
% 48.86/31.96 tff(12039,plain,
% 48.86/31.96 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB73) | (~v130(constB73, bitIndex1)) | v127(constB73, bitIndex1))),
% 48.86/31.96 inference(quant_inst,[status(thm)],[])).
% 48.86/31.96 tff(12040,plain,
% 48.86/31.96 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB73) | (~v130(constB73, bitIndex1)) | v127(constB73, bitIndex1)),
% 48.86/31.96 inference(modus_ponens,[status(thm)],[12039, 12038])).
% 48.86/31.96 tff(12041,plain,
% 48.86/31.96 ((~v130(constB73, bitIndex1)) | v127(constB73, bitIndex1)),
% 48.86/31.96 inference(unit_resolution,[status(thm)],[12040, 681, 11938])).
% 48.86/31.96 tff(12042,plain,
% 48.86/31.96 (v127(constB73, bitIndex1)),
% 48.86/31.96 inference(unit_resolution,[status(thm)],[12041, 12037])).
% 48.86/31.96 tff(12043,plain,
% 48.86/31.96 (((~![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))),
% 48.86/31.96 inference(rewrite,[status(thm)],[])).
% 48.86/31.96 tff(12044,plain,
% 48.86/31.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB73, constB74)) | (~v127(constB73, bitIndex1)) | v129(constB74, bitIndex1))),
% 48.86/31.96 inference(quant_inst,[status(thm)],[])).
% 48.86/31.96 tff(12045,plain,
% 48.86/31.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB73, constB74)) | (~v127(constB73, bitIndex1)) | v129(constB74, bitIndex1)),
% 48.86/31.96 inference(modus_ponens,[status(thm)],[12044, 12043])).
% 48.86/31.96 tff(12046,plain,
% 48.86/31.96 ((~v127(constB73, bitIndex1)) | v129(constB74, bitIndex1)),
% 48.86/31.96 inference(unit_resolution,[status(thm)],[12045, 696, 11950])).
% 48.86/31.96 tff(12047,plain,
% 48.86/31.96 (v129(constB74, bitIndex1)),
% 48.86/31.96 inference(unit_resolution,[status(thm)],[12046, 12042])).
% 48.86/31.96 tff(12048,plain,
% 48.86/31.96 (((~![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)))),
% 48.86/31.96 inference(rewrite,[status(thm)],[])).
% 48.86/31.96 tff(12049,plain,
% 48.86/31.96 ((v90(constB74, bitIndex1) | (~v100(constB74)) | (~v129(constB74, bitIndex1))) <=> (v90(constB74, bitIndex1) | (~v129(constB74, bitIndex1)) | (~v100(constB74)))),
% 48.86/31.96 inference(rewrite,[status(thm)],[])).
% 48.86/31.96 tff(12050,plain,
% 48.86/31.96 (((~![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))))),
% 48.86/31.96 inference(monotonicity,[status(thm)],[12049])).
% 48.86/31.96 tff(12051,plain,
% 48.86/31.96 (((~![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)))),
% 48.86/31.96 inference(transitivity,[status(thm)],[12050, 12048])).
% 48.86/31.96 tff(12052,plain,
% 48.86/31.96 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB74, bitIndex1) | (~v100(constB74)) | (~v129(constB74, bitIndex1)))),
% 48.86/31.96 inference(quant_inst,[status(thm)],[])).
% 48.86/31.96 tff(12053,plain,
% 48.86/31.96 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB74, bitIndex1) | (~v129(constB74, bitIndex1)) | (~v100(constB74))),
% 48.86/31.96 inference(modus_ponens,[status(thm)],[12052, 12051])).
% 48.86/31.96 tff(12054,plain,
% 48.86/31.96 (v90(constB74, bitIndex1) | (~v100(constB74))),
% 48.86/31.96 inference(unit_resolution,[status(thm)],[12053, 711, 12047])).
% 48.86/31.96 tff(12055,plain,
% 48.86/31.96 (v90(constB74, bitIndex1)),
% 48.86/31.96 inference(unit_resolution,[status(thm)],[12054, 11984])).
% 48.86/31.96 tff(12056,plain,
% 48.86/31.96 (((~![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))),
% 48.86/31.96 inference(rewrite,[status(thm)],[])).
% 48.86/31.96 tff(12057,plain,
% 48.86/31.96 (((~nextState(constB74, constB75)) | (~v90(constB74, bitIndex1)) | v100(constB75) | v90(constB75, bitIndex1)) <=> ((~v90(constB74, bitIndex1)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, bitIndex1))),
% 48.86/31.96 inference(rewrite,[status(thm)],[])).
% 48.86/31.96 tff(12058,plain,
% 48.86/31.96 (((~![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)))),
% 48.86/31.96 inference(monotonicity,[status(thm)],[12057])).
% 48.86/31.96 tff(12059,plain,
% 48.86/31.96 (((~![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))),
% 48.86/31.96 inference(transitivity,[status(thm)],[12058, 12056])).
% 48.86/31.96 tff(12060,plain,
% 48.86/31.96 ((~![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))),
% 48.86/31.96 inference(quant_inst,[status(thm)],[])).
% 48.86/31.96 tff(12061,plain,
% 48.86/31.96 ((~![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)),
% 48.86/31.96 inference(modus_ponens,[status(thm)],[12060, 12059])).
% 48.86/31.96 tff(12062,plain,
% 48.86/31.96 ((~v90(constB74, bitIndex1)) | v100(constB75) | v90(constB75, bitIndex1)),
% 48.86/31.96 inference(unit_resolution,[status(thm)],[12061, 747, 12012])).
% 48.86/31.96 tff(12063,plain,
% 48.86/31.96 ((~v90(constB74, bitIndex1)) | v90(constB75, bitIndex1)),
% 48.86/31.96 inference(unit_resolution,[status(thm)],[12062, 12024])).
% 48.86/31.96 tff(12064,plain,
% 48.86/31.96 (v90(constB75, bitIndex1)),
% 48.86/31.96 inference(unit_resolution,[status(thm)],[12063, 12055])).
% 48.86/31.96 tff(12065,plain,
% 48.86/31.96 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB73)) | (~v130(constB73, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB73)) | (~v130(constB73, bitIndex0)))),
% 48.86/31.96 inference(rewrite,[status(thm)],[])).
% 48.86/31.96 tff(12066,plain,
% 48.86/31.96 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB73)) | (~v130(constB73, bitIndex0)))),
% 48.86/31.96 inference(quant_inst,[status(thm)],[])).
% 48.86/31.96 tff(12067,plain,
% 48.86/31.96 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB73)) | (~v130(constB73, bitIndex0))),
% 48.86/31.96 inference(modus_ponens,[status(thm)],[12066, 12065])).
% 48.86/31.96 tff(12068,plain,
% 48.86/31.96 (~v130(constB73, bitIndex0)),
% 48.86/31.96 inference(unit_resolution,[status(thm)],[12067, 975, 11922])).
% 48.86/31.96 tff(12069,plain,
% 48.86/31.96 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB73, bitIndex0)) | v26(constB73) | v130(constB73, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB73, bitIndex0)) | v26(constB73) | v130(constB73, bitIndex0))),
% 48.86/31.96 inference(rewrite,[status(thm)],[])).
% 48.86/31.96 tff(12070,plain,
% 48.86/31.96 ((v26(constB73) | v130(constB73, bitIndex0) | (~v127(constB73, bitIndex0))) <=> ((~v127(constB73, bitIndex0)) | v26(constB73) | v130(constB73, bitIndex0))),
% 48.86/31.96 inference(rewrite,[status(thm)],[])).
% 48.86/31.96 tff(12071,plain,
% 48.86/31.96 (((~![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)))) | ((~v127(constB73, bitIndex0)) | v26(constB73) | v130(constB73, bitIndex0)))),
% 48.86/31.96 inference(monotonicity,[status(thm)],[12070])).
% 48.86/31.96 tff(12072,plain,
% 48.86/31.96 (((~![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)))) | (~v127(constB73, bitIndex0)) | v26(constB73) | v130(constB73, bitIndex0))),
% 48.86/31.96 inference(transitivity,[status(thm)],[12071, 12069])).
% 48.86/31.96 tff(12073,plain,
% 48.86/31.96 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB73) | v130(constB73, bitIndex0) | (~v127(constB73, bitIndex0)))),
% 48.86/31.96 inference(quant_inst,[status(thm)],[])).
% 48.86/31.96 tff(12074,plain,
% 48.86/31.96 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB73, bitIndex0)) | v26(constB73) | v130(constB73, bitIndex0)),
% 48.86/31.96 inference(modus_ponens,[status(thm)],[12073, 12072])).
% 48.86/31.96 tff(12075,plain,
% 48.86/31.96 ((~v127(constB73, bitIndex0)) | v130(constB73, bitIndex0)),
% 48.86/31.96 inference(unit_resolution,[status(thm)],[12074, 524, 11938])).
% 48.86/31.96 tff(12076,plain,
% 48.86/31.96 (~v127(constB73, bitIndex0)),
% 48.86/31.96 inference(unit_resolution,[status(thm)],[12075, 12068])).
% 48.86/31.96 tff(12077,plain,
% 48.86/31.96 (((~![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)))),
% 48.86/31.96 inference(rewrite,[status(thm)],[])).
% 48.86/31.96 tff(12078,plain,
% 48.86/31.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB73, constB74)) | v127(constB73, bitIndex0) | (~v129(constB74, bitIndex0)))),
% 48.86/31.96 inference(quant_inst,[status(thm)],[])).
% 48.86/31.96 tff(12079,plain,
% 48.86/31.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB73, constB74)) | v127(constB73, bitIndex0) | (~v129(constB74, bitIndex0))),
% 48.86/31.96 inference(modus_ponens,[status(thm)],[12078, 12077])).
% 48.86/31.96 tff(12080,plain,
% 48.86/31.96 (v127(constB73, bitIndex0) | (~v129(constB74, bitIndex0))),
% 48.86/31.96 inference(unit_resolution,[status(thm)],[12079, 542, 11950])).
% 48.86/31.96 tff(12081,plain,
% 48.86/31.96 (~v129(constB74, bitIndex0)),
% 48.86/31.96 inference(unit_resolution,[status(thm)],[12080, 12076])).
% 48.86/31.96 tff(12082,plain,
% 48.86/31.96 (((~![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)))),
% 48.86/31.96 inference(rewrite,[status(thm)],[])).
% 48.86/31.96 tff(12083,plain,
% 48.86/31.96 (((~v90(constB74, bitIndex0)) | (~v100(constB74)) | v129(constB74, bitIndex0)) <=> ((~v90(constB74, bitIndex0)) | v129(constB74, bitIndex0) | (~v100(constB74)))),
% 48.86/31.96 inference(rewrite,[status(thm)],[])).
% 48.86/31.96 tff(12084,plain,
% 48.86/31.96 (((~![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))))),
% 48.86/31.96 inference(monotonicity,[status(thm)],[12083])).
% 48.86/31.96 tff(12085,plain,
% 48.86/31.96 (((~![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)))),
% 48.86/31.97 inference(transitivity,[status(thm)],[12084, 12082])).
% 48.86/31.97 tff(12086,plain,
% 48.86/31.97 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB74, bitIndex0)) | (~v100(constB74)) | v129(constB74, bitIndex0))),
% 48.86/31.97 inference(quant_inst,[status(thm)],[])).
% 48.86/31.97 tff(12087,plain,
% 48.86/31.97 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB74, bitIndex0)) | v129(constB74, bitIndex0) | (~v100(constB74))),
% 48.86/31.97 inference(modus_ponens,[status(thm)],[12086, 12085])).
% 48.86/31.97 tff(12088,plain,
% 48.86/31.97 ((~v90(constB74, bitIndex0)) | (~v100(constB74))),
% 48.86/31.97 inference(unit_resolution,[status(thm)],[12087, 557, 12081])).
% 48.86/31.97 tff(12089,plain,
% 48.86/31.97 (~v90(constB74, bitIndex0)),
% 48.86/31.97 inference(unit_resolution,[status(thm)],[12088, 11984])).
% 48.86/31.97 tff(12090,plain,
% 48.86/31.97 (((~![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)))),
% 48.86/31.97 inference(rewrite,[status(thm)],[])).
% 48.86/31.97 tff(12091,plain,
% 48.86/31.97 (((~nextState(constB74, constB75)) | v90(constB74, bitIndex0) | v100(constB75) | (~v90(constB75, bitIndex0))) <=> (v90(constB74, bitIndex0) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, bitIndex0)))),
% 48.86/31.97 inference(rewrite,[status(thm)],[])).
% 48.86/31.97 tff(12092,plain,
% 48.86/31.97 (((~![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))))),
% 48.86/31.97 inference(monotonicity,[status(thm)],[12091])).
% 48.86/31.97 tff(12093,plain,
% 48.86/31.97 (((~![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)))),
% 48.86/31.97 inference(transitivity,[status(thm)],[12092, 12090])).
% 48.86/31.97 tff(12094,plain,
% 48.86/31.97 ((~![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)))),
% 48.86/31.97 inference(quant_inst,[status(thm)],[])).
% 48.86/31.97 tff(12095,plain,
% 48.86/31.97 ((~![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))),
% 48.86/31.97 inference(modus_ponens,[status(thm)],[12094, 12093])).
% 48.86/31.97 tff(12096,plain,
% 48.86/31.97 (v90(constB74, bitIndex0) | v100(constB75) | (~v90(constB75, bitIndex0))),
% 48.86/31.97 inference(unit_resolution,[status(thm)],[12095, 123, 12012])).
% 48.86/31.97 tff(12097,plain,
% 48.86/31.97 (v90(constB74, bitIndex0) | (~v90(constB75, bitIndex0))),
% 48.86/31.97 inference(unit_resolution,[status(thm)],[12096, 12024])).
% 48.86/31.97 tff(12098,plain,
% 48.86/31.97 (~v90(constB75, bitIndex0)),
% 48.86/31.97 inference(unit_resolution,[status(thm)],[12097, 12089])).
% 48.86/31.97 tff(12099,plain,
% 48.86/31.97 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB75, bitIndex0) | (~v90(constB75, bitIndex1)) | (~v90(constB75, bitIndex2)) | v125(constB75))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB75, bitIndex0) | (~v90(constB75, bitIndex1)) | (~v90(constB75, bitIndex2)) | v125(constB75))),
% 48.86/31.97 inference(rewrite,[status(thm)],[])).
% 48.86/31.97 tff(12100,plain,
% 48.86/31.97 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB75, bitIndex0) | (~v90(constB75, bitIndex1)) | (~v90(constB75, bitIndex2)) | v125(constB75))),
% 48.86/31.97 inference(quant_inst,[status(thm)],[])).
% 48.86/31.97 tff(12101,plain,
% 48.86/31.97 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB75, bitIndex0) | (~v90(constB75, bitIndex1)) | (~v90(constB75, bitIndex2)) | v125(constB75)),
% 48.86/31.97 inference(modus_ponens,[status(thm)],[12100, 12099])).
% 48.86/31.97 tff(12102,plain,
% 48.86/31.97 (v125(constB75)),
% 48.86/31.97 inference(unit_resolution,[status(thm)],[12101, 1019, 12098, 12064, 12033])).
% 48.86/31.97 tff(12103,plain,
% 48.86/31.97 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB75) | (~v125(constB75)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB75) | (~v125(constB75)))),
% 48.86/31.97 inference(rewrite,[status(thm)],[])).
% 48.86/31.97 tff(12104,plain,
% 48.86/31.97 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB75) | (~v125(constB75)))),
% 48.86/31.97 inference(quant_inst,[status(thm)],[])).
% 48.86/31.97 tff(12105,plain,
% 48.86/31.97 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB75) | (~v125(constB75))),
% 48.86/31.97 inference(modus_ponens,[status(thm)],[12104, 12103])).
% 48.86/31.97 tff(12106,plain,
% 48.86/31.97 (v113(constB75)),
% 48.86/31.97 inference(unit_resolution,[status(thm)],[12105, 1031, 12102])).
% 48.86/31.97 tff(12107,assumption,(v26(constB75)), introduced(assumption)).
% 48.86/31.97 tff(12108,plain,
% 48.86/31.97 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB75))),
% 48.86/31.97 inference(quant_inst,[status(thm)],[])).
% 48.86/31.97 tff(12109,plain,
% 48.86/31.97 ($false),
% 48.86/31.97 inference(unit_resolution,[status(thm)],[12108, 16, 12107])).
% 48.86/31.97 tff(12110,plain,(~v26(constB75)), inference(lemma,lemma(discharge,[]))).
% 48.86/31.97 tff(12111,plain,
% 48.86/31.97 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB75) | (~v113(constB75)) | v112(constB75))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB75) | (~v113(constB75)) | v112(constB75))),
% 48.86/31.97 inference(rewrite,[status(thm)],[])).
% 48.86/31.97 tff(12112,plain,
% 48.86/31.97 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB75) | (~v113(constB75)) | v112(constB75))),
% 48.86/31.97 inference(quant_inst,[status(thm)],[])).
% 48.86/31.97 tff(12113,plain,
% 48.86/31.97 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB75) | (~v113(constB75)) | v112(constB75)),
% 48.86/31.97 inference(modus_ponens,[status(thm)],[12112, 12111])).
% 48.86/31.97 tff(12114,plain,
% 48.86/31.97 ((~v113(constB75)) | v112(constB75)),
% 48.86/31.97 inference(unit_resolution,[status(thm)],[12113, 224, 12110])).
% 48.86/31.97 tff(12115,plain,
% 48.86/31.97 (v112(constB75)),
% 48.86/31.97 inference(unit_resolution,[status(thm)],[12114, 12106])).
% 48.86/31.97 tff(12116,plain,
% 48.86/31.97 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB75) | (~v112(constB75)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB75) | (~v112(constB75)))),
% 48.86/31.97 inference(rewrite,[status(thm)],[])).
% 48.86/31.97 tff(12117,plain,
% 48.86/31.97 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB75) | (~v112(constB75)))),
% 48.86/31.97 inference(quant_inst,[status(thm)],[])).
% 48.86/31.97 tff(12118,plain,
% 48.86/31.97 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB75) | (~v112(constB75))),
% 48.86/31.97 inference(modus_ponens,[status(thm)],[12117, 12116])).
% 48.86/31.97 tff(12119,plain,
% 48.86/31.97 (v108(constB75)),
% 48.86/31.97 inference(unit_resolution,[status(thm)],[12118, 236, 12115])).
% 48.86/31.97 tff(12120,plain,
% 48.86/31.97 (nextState(constB75, constB76) <=> nextState(constB75, constB76)),
% 48.86/31.97 inference(rewrite,[status(thm)],[])).
% 48.86/31.97 tff(12121,axiom,(nextState(constB75, constB76)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_75_1')).
% 48.86/31.97 tff(12122,plain,
% 48.86/31.97 (nextState(constB75, constB76)),
% 48.86/31.97 inference(modus_ponens,[status(thm)],[12121, 12120])).
% 48.86/31.97 tff(12123,plain,
% 48.86/31.97 (((~![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)))),
% 48.86/31.97 inference(rewrite,[status(thm)],[])).
% 48.86/31.97 tff(12124,plain,
% 48.86/31.97 (((~nextState(constB75, constB76)) | (~v108(constB75)) | v110(constB76)) <=> ((~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75)))),
% 48.86/31.97 inference(rewrite,[status(thm)],[])).
% 48.86/31.97 tff(12125,plain,
% 48.86/31.97 (((~![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))))),
% 48.86/31.97 inference(monotonicity,[status(thm)],[12124])).
% 48.86/31.97 tff(12126,plain,
% 48.86/31.97 (((~![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)))),
% 48.86/31.97 inference(transitivity,[status(thm)],[12125, 12123])).
% 48.86/31.97 tff(12127,plain,
% 48.86/31.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | (~v108(constB75)) | v110(constB76))),
% 48.86/31.97 inference(quant_inst,[status(thm)],[])).
% 48.86/31.97 tff(12128,plain,
% 48.86/31.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75))),
% 48.86/31.97 inference(modus_ponens,[status(thm)],[12127, 12126])).
% 48.86/31.97 tff(12129,plain,
% 48.86/31.97 (v110(constB76) | (~v108(constB75))),
% 48.86/31.97 inference(unit_resolution,[status(thm)],[12128, 253, 12122])).
% 48.86/31.97 tff(12130,plain,
% 48.86/31.97 (v110(constB76)),
% 48.86/31.97 inference(unit_resolution,[status(thm)],[12129, 12119])).
% 48.86/31.97 tff(12131,plain,
% 48.86/31.97 (((~![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)))),
% 48.86/31.97 inference(rewrite,[status(thm)],[])).
% 48.86/31.97 tff(12132,plain,
% 48.86/31.97 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB75) | (~nextState(constB75, constB76)) | (~v104(constB76)))),
% 48.86/31.97 inference(quant_inst,[status(thm)],[])).
% 48.86/31.97 tff(12133,plain,
% 48.86/31.97 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB75) | (~nextState(constB75, constB76)) | (~v104(constB76))),
% 48.86/31.97 inference(modus_ponens,[status(thm)],[12132, 12131])).
% 48.86/31.97 tff(12134,plain,
% 48.86/31.97 (~v104(constB76)),
% 48.86/31.97 inference(unit_resolution,[status(thm)],[12133, 271, 12122, 12009])).
% 48.86/31.97 tff(12135,plain,
% 48.86/31.97 (((~![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))),
% 48.86/31.97 inference(rewrite,[status(thm)],[])).
% 48.86/31.97 tff(12136,plain,
% 48.86/31.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB75, constB76)) | v102(constB76) | v104(constB76))),
% 48.86/31.97 inference(quant_inst,[status(thm)],[])).
% 48.86/31.97 tff(12137,plain,
% 48.86/31.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB75, constB76)) | v102(constB76) | v104(constB76)),
% 48.86/31.97 inference(modus_ponens,[status(thm)],[12136, 12135])).
% 48.86/31.97 tff(12138,plain,
% 48.86/31.97 (v102(constB76) | v104(constB76)),
% 48.86/31.97 inference(unit_resolution,[status(thm)],[12137, 285, 12122])).
% 48.86/31.97 tff(12139,plain,
% 48.86/31.97 (v102(constB76)),
% 48.86/31.97 inference(unit_resolution,[status(thm)],[12138, 12134])).
% 48.86/31.97 tff(12140,plain,
% 48.86/31.97 (v1(constB76) <=> v1(constB76)),
% 48.86/31.97 inference(rewrite,[status(thm)],[])).
% 48.86/31.97 tff(12141,axiom,(v1(constB76)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_76_1')).
% 48.86/31.97 tff(12142,plain,
% 48.86/31.97 (v1(constB76)),
% 48.86/31.97 inference(modus_ponens,[status(thm)],[12141, 12140])).
% 48.86/31.97 tff(12143,plain,
% 48.86/31.97 (((~![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)))),
% 48.86/31.97 inference(rewrite,[status(thm)],[])).
% 48.86/31.97 tff(12144,plain,
% 48.86/31.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB75, constB76)) | v101(constB76) | (~v102(constB76)) | (~v1(constB76)))),
% 48.86/31.97 inference(quant_inst,[status(thm)],[])).
% 48.86/31.97 tff(12145,plain,
% 48.86/31.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB75, constB76)) | v101(constB76) | (~v102(constB76)) | (~v1(constB76))),
% 48.86/31.97 inference(modus_ponens,[status(thm)],[12144, 12143])).
% 48.86/31.97 tff(12146,plain,
% 48.86/31.97 (v101(constB76) | (~v102(constB76))),
% 48.86/31.97 inference(unit_resolution,[status(thm)],[12145, 303, 12122, 12142])).
% 48.86/31.97 tff(12147,plain,
% 48.86/31.97 (v101(constB76)),
% 48.86/31.97 inference(unit_resolution,[status(thm)],[12146, 12139])).
% 48.86/31.97 tff(12148,plain,
% 48.86/31.97 (((~![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)))),
% 48.86/31.97 inference(rewrite,[status(thm)],[])).
% 48.86/31.97 tff(12149,plain,
% 48.86/31.97 (((~nextState(constB75, constB76)) | (~v101(constB76)) | (~v110(constB76)) | v100(constB76)) <=> ((~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76)))),
% 48.86/31.97 inference(rewrite,[status(thm)],[])).
% 48.86/31.97 tff(12150,plain,
% 48.86/31.97 (((~![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))))),
% 48.86/31.97 inference(monotonicity,[status(thm)],[12149])).
% 48.86/31.97 tff(12151,plain,
% 48.86/31.97 (((~![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)))),
% 48.86/31.97 inference(transitivity,[status(thm)],[12150, 12148])).
% 48.86/31.97 tff(12152,plain,
% 48.86/31.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | (~v101(constB76)) | (~v110(constB76)) | v100(constB76))),
% 48.86/31.97 inference(quant_inst,[status(thm)],[])).
% 48.86/31.97 tff(12153,plain,
% 48.86/31.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76))),
% 48.86/31.97 inference(modus_ponens,[status(thm)],[12152, 12151])).
% 48.86/31.97 tff(12154,plain,
% 48.86/31.97 (v100(constB76) | (~v101(constB76)) | (~v110(constB76))),
% 48.86/31.97 inference(unit_resolution,[status(thm)],[12153, 318, 12122])).
% 48.86/31.97 tff(12155,plain,
% 48.86/31.97 (v100(constB76) | (~v110(constB76))),
% 48.86/31.97 inference(unit_resolution,[status(thm)],[12154, 12147])).
% 48.86/31.97 tff(12156,plain,
% 48.86/31.97 (v100(constB76)),
% 48.86/31.97 inference(unit_resolution,[status(thm)],[12155, 12130])).
% 48.86/31.97 tff(12157,plain,
% 48.86/31.97 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB75, bitIndex2)) | (~v121(constB75)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB75, bitIndex2)) | (~v121(constB75)))),
% 48.86/31.97 inference(rewrite,[status(thm)],[])).
% 48.86/31.97 tff(12158,plain,
% 48.86/31.97 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB75, bitIndex2)) | (~v121(constB75)))),
% 48.86/31.97 inference(quant_inst,[status(thm)],[])).
% 48.86/31.97 tff(12159,plain,
% 48.86/31.97 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB75, bitIndex2)) | (~v121(constB75))),
% 48.86/31.97 inference(modus_ponens,[status(thm)],[12158, 12157])).
% 48.86/31.97 tff(12160,plain,
% 48.86/31.97 (~v121(constB75)),
% 48.86/31.97 inference(unit_resolution,[status(thm)],[12159, 883, 12033])).
% 48.86/31.97 tff(12161,plain,
% 48.86/31.97 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB75, bitIndex2)) | (~v122(constB75)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB75, bitIndex2)) | (~v122(constB75)))),
% 48.86/31.97 inference(rewrite,[status(thm)],[])).
% 48.86/31.97 tff(12162,plain,
% 48.86/31.97 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB75, bitIndex2)) | (~v122(constB75)))),
% 48.86/31.97 inference(quant_inst,[status(thm)],[])).
% 48.86/31.97 tff(12163,plain,
% 48.86/31.97 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB75, bitIndex2)) | (~v122(constB75))),
% 48.86/31.97 inference(modus_ponens,[status(thm)],[12162, 12161])).
% 48.86/31.97 tff(12164,plain,
% 48.86/31.97 (~v122(constB75)),
% 48.86/31.97 inference(unit_resolution,[status(thm)],[12163, 894, 12033])).
% 48.86/31.97 tff(12165,plain,
% 48.86/31.97 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB75, bitIndex1)) | (~v120(constB75)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB75, bitIndex1)) | (~v120(constB75)))),
% 48.86/31.97 inference(rewrite,[status(thm)],[])).
% 48.86/31.97 tff(12166,plain,
% 48.86/31.97 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB75, bitIndex1)) | (~v120(constB75)))),
% 48.86/31.97 inference(quant_inst,[status(thm)],[])).
% 48.86/31.97 tff(12167,plain,
% 48.86/31.97 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB75, bitIndex1)) | (~v120(constB75))),
% 48.86/31.97 inference(modus_ponens,[status(thm)],[12166, 12165])).
% 48.86/31.97 tff(12168,plain,
% 48.86/31.97 (~v120(constB75)),
% 48.86/31.97 inference(unit_resolution,[status(thm)],[12167, 2312, 12064])).
% 48.86/31.97 tff(12169,plain,
% 48.86/31.97 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB75, bitIndex1)) | (~v123(constB75)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB75, bitIndex1)) | (~v123(constB75)))),
% 48.86/31.97 inference(rewrite,[status(thm)],[])).
% 48.86/31.97 tff(12170,plain,
% 48.86/31.97 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB75, bitIndex1)) | (~v123(constB75)))),
% 48.86/31.97 inference(quant_inst,[status(thm)],[])).
% 48.86/31.97 tff(12171,plain,
% 48.86/31.97 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB75, bitIndex1)) | (~v123(constB75))),
% 48.86/31.97 inference(modus_ponens,[status(thm)],[12170, 12169])).
% 48.86/31.97 tff(12172,plain,
% 48.86/31.97 (~v123(constB75)),
% 48.86/31.97 inference(unit_resolution,[status(thm)],[12171, 774, 12064])).
% 48.86/31.97 tff(12173,plain,
% 48.86/31.97 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB75, bitIndex1)) | (~v124(constB75)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB75, bitIndex1)) | (~v124(constB75)))),
% 48.86/31.97 inference(rewrite,[status(thm)],[])).
% 48.86/31.97 tff(12174,plain,
% 48.86/31.97 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB75, bitIndex1)) | (~v124(constB75)))),
% 48.86/31.97 inference(quant_inst,[status(thm)],[])).
% 48.86/31.97 tff(12175,plain,
% 48.86/31.97 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB75, bitIndex1)) | (~v124(constB75))),
% 48.86/31.97 inference(modus_ponens,[status(thm)],[12174, 12173])).
% 48.86/31.97 tff(12176,plain,
% 48.86/31.97 (~v124(constB75)),
% 48.86/31.97 inference(unit_resolution,[status(thm)],[12175, 763, 12064])).
% 48.86/31.97 tff(12177,plain,
% 48.86/31.97 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB75)) | (~v90(constB75, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB75)) | (~v90(constB75, bitIndex1)))),
% 48.86/31.97 inference(rewrite,[status(thm)],[])).
% 48.86/31.97 tff(12178,plain,
% 48.86/31.97 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB75)) | (~v90(constB75, bitIndex1)))),
% 48.86/31.97 inference(quant_inst,[status(thm)],[])).
% 48.86/31.97 tff(12179,plain,
% 48.86/31.97 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB75)) | (~v90(constB75, bitIndex1))),
% 48.86/31.97 inference(modus_ponens,[status(thm)],[12178, 12177])).
% 48.86/31.97 tff(12180,plain,
% 48.86/31.97 (~v119(constB75)),
% 48.86/31.97 inference(unit_resolution,[status(thm)],[12179, 2293, 12064])).
% 48.86/31.97 tff(12181,plain,
% 48.86/31.97 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB75) | v123(constB75) | v122(constB75) | v120(constB75) | v121(constB75) | v119(constB75) | (~v130(constB75, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB75) | v123(constB75) | v122(constB75) | v120(constB75) | v121(constB75) | v119(constB75) | (~v130(constB75, bitIndex2)))),
% 48.86/31.97 inference(rewrite,[status(thm)],[])).
% 48.86/31.97 tff(12182,plain,
% 48.86/31.97 ((v120(constB75) | v119(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | (~v130(constB75, bitIndex2))) <=> (v124(constB75) | v123(constB75) | v122(constB75) | v120(constB75) | v121(constB75) | v119(constB75) | (~v130(constB75, bitIndex2)))),
% 48.86/31.97 inference(rewrite,[status(thm)],[])).
% 48.86/31.97 tff(12183,plain,
% 48.86/31.97 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB75) | v119(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | (~v130(constB75, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB75) | v123(constB75) | v122(constB75) | v120(constB75) | v121(constB75) | v119(constB75) | (~v130(constB75, bitIndex2))))),
% 48.86/31.97 inference(monotonicity,[status(thm)],[12182])).
% 48.86/31.97 tff(12184,plain,
% 48.86/31.97 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB75) | v119(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | (~v130(constB75, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB75) | v123(constB75) | v122(constB75) | v120(constB75) | v121(constB75) | v119(constB75) | (~v130(constB75, bitIndex2)))),
% 48.86/31.97 inference(transitivity,[status(thm)],[12183, 12181])).
% 48.86/31.97 tff(12185,plain,
% 48.86/31.97 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB75) | v119(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | (~v130(constB75, bitIndex2)))),
% 48.86/31.97 inference(quant_inst,[status(thm)],[])).
% 48.86/31.97 tff(12186,plain,
% 48.86/31.97 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB75) | v123(constB75) | v122(constB75) | v120(constB75) | v121(constB75) | v119(constB75) | (~v130(constB75, bitIndex2))),
% 48.86/31.97 inference(modus_ponens,[status(thm)],[12185, 12184])).
% 48.86/31.97 tff(12187,plain,
% 48.86/31.97 (~v130(constB75, bitIndex2)),
% 48.86/31.97 inference(unit_resolution,[status(thm)],[12186, 1192, 12180, 12176, 12172, 12168, 12164, 12160])).
% 48.86/31.97 tff(12188,plain,
% 48.86/31.97 (((~![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))),
% 48.86/31.97 inference(rewrite,[status(thm)],[])).
% 48.86/31.97 tff(12189,plain,
% 48.86/31.97 ((v26(constB75) | v130(constB75, bitIndex2) | (~v127(constB75, bitIndex2))) <=> ((~v127(constB75, bitIndex2)) | v26(constB75) | v130(constB75, bitIndex2))),
% 48.86/31.97 inference(rewrite,[status(thm)],[])).
% 48.86/31.97 tff(12190,plain,
% 48.86/31.97 (((~![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)))),
% 48.86/31.97 inference(monotonicity,[status(thm)],[12189])).
% 48.86/31.97 tff(12191,plain,
% 48.86/31.97 (((~![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))),
% 48.86/31.97 inference(transitivity,[status(thm)],[12190, 12188])).
% 48.86/31.97 tff(12192,plain,
% 48.86/31.97 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB75) | v130(constB75, bitIndex2) | (~v127(constB75, bitIndex2)))),
% 48.86/31.97 inference(quant_inst,[status(thm)],[])).
% 48.86/31.97 tff(12193,plain,
% 48.86/31.97 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB75, bitIndex2)) | v26(constB75) | v130(constB75, bitIndex2)),
% 48.86/31.97 inference(modus_ponens,[status(thm)],[12192, 12191])).
% 48.86/31.97 tff(12194,plain,
% 48.86/31.97 ((~v127(constB75, bitIndex2)) | v130(constB75, bitIndex2)),
% 48.86/31.97 inference(unit_resolution,[status(thm)],[12193, 1210, 12110])).
% 48.86/31.97 tff(12195,plain,
% 48.86/31.97 (~v127(constB75, bitIndex2)),
% 48.86/31.97 inference(unit_resolution,[status(thm)],[12194, 12187])).
% 48.86/31.97 tff(12196,plain,
% 48.86/31.97 (((~![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)))),
% 48.86/31.97 inference(rewrite,[status(thm)],[])).
% 48.86/31.97 tff(12197,plain,
% 48.86/31.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB75, constB76)) | v127(constB75, bitIndex2) | (~v129(constB76, bitIndex2)))),
% 48.86/31.97 inference(quant_inst,[status(thm)],[])).
% 48.86/31.97 tff(12198,plain,
% 48.86/31.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB75, constB76)) | v127(constB75, bitIndex2) | (~v129(constB76, bitIndex2))),
% 48.86/31.97 inference(modus_ponens,[status(thm)],[12197, 12196])).
% 48.86/31.97 tff(12199,plain,
% 48.86/31.97 (v127(constB75, bitIndex2) | (~v129(constB76, bitIndex2))),
% 48.86/31.97 inference(unit_resolution,[status(thm)],[12198, 1243, 12122])).
% 48.86/31.97 tff(12200,plain,
% 48.86/31.97 (~v129(constB76, bitIndex2)),
% 48.86/31.97 inference(unit_resolution,[status(thm)],[12199, 12195])).
% 48.86/31.97 tff(12201,plain,
% 48.86/31.97 (((~![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)))),
% 48.86/31.97 inference(rewrite,[status(thm)],[])).
% 48.86/31.97 tff(12202,plain,
% 48.86/31.97 (((~v90(constB76, bitIndex2)) | (~v100(constB76)) | v129(constB76, bitIndex2)) <=> ((~v90(constB76, bitIndex2)) | v129(constB76, bitIndex2) | (~v100(constB76)))),
% 48.86/31.97 inference(rewrite,[status(thm)],[])).
% 48.86/31.97 tff(12203,plain,
% 48.86/31.97 (((~![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))))),
% 48.86/31.97 inference(monotonicity,[status(thm)],[12202])).
% 48.86/31.97 tff(12204,plain,
% 48.86/31.97 (((~![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)))),
% 48.86/31.97 inference(transitivity,[status(thm)],[12203, 12201])).
% 48.86/31.97 tff(12205,plain,
% 48.86/31.97 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB76, bitIndex2)) | (~v100(constB76)) | v129(constB76, bitIndex2))),
% 48.86/31.97 inference(quant_inst,[status(thm)],[])).
% 48.86/31.97 tff(12206,plain,
% 48.86/31.97 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB76, bitIndex2)) | v129(constB76, bitIndex2) | (~v100(constB76))),
% 48.86/31.97 inference(modus_ponens,[status(thm)],[12205, 12204])).
% 48.86/31.97 tff(12207,plain,
% 48.86/31.97 ((~v90(constB76, bitIndex2)) | (~v100(constB76))),
% 48.86/31.97 inference(unit_resolution,[status(thm)],[12206, 1258, 12200])).
% 48.86/31.97 tff(12208,plain,
% 48.86/31.97 (~v90(constB76, bitIndex2)),
% 48.86/31.97 inference(unit_resolution,[status(thm)],[12207, 12156])).
% 48.86/31.97 tff(12209,plain,
% 48.86/31.97 ((~v1(constB77)) <=> (~v1(constB77))),
% 48.86/31.97 inference(rewrite,[status(thm)],[])).
% 48.86/31.97 tff(12210,axiom,(~v1(constB77)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_77_1_1')).
% 48.86/31.97 tff(12211,plain,
% 48.86/31.97 (~v1(constB77)),
% 48.86/31.97 inference(modus_ponens,[status(thm)],[12210, 12209])).
% 48.86/31.97 tff(12212,plain,
% 48.86/31.97 (nextState(constB76, constB77) <=> nextState(constB76, constB77)),
% 48.86/31.97 inference(rewrite,[status(thm)],[])).
% 48.86/31.97 tff(12213,axiom,(nextState(constB76, constB77)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_76_1')).
% 48.86/31.97 tff(12214,plain,
% 48.86/31.97 (nextState(constB76, constB77)),
% 48.86/31.97 inference(modus_ponens,[status(thm)],[12213, 12212])).
% 48.86/31.97 tff(12215,plain,
% 48.86/31.97 (((~![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)))),
% 48.86/31.97 inference(rewrite,[status(thm)],[])).
% 48.86/31.97 tff(12216,plain,
% 48.86/31.97 (((~nextState(constB76, constB77)) | (~v101(constB77)) | v1(constB77)) <=> (v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77)))),
% 48.86/31.97 inference(rewrite,[status(thm)],[])).
% 48.86/31.97 tff(12217,plain,
% 48.86/31.97 (((~![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))))),
% 48.86/31.97 inference(monotonicity,[status(thm)],[12216])).
% 48.86/31.97 tff(12218,plain,
% 48.86/31.97 (((~![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)))),
% 48.86/31.98 inference(transitivity,[status(thm)],[12217, 12215])).
% 48.86/31.98 tff(12219,plain,
% 48.86/31.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB76, constB77)) | (~v101(constB77)) | v1(constB77))),
% 48.86/31.98 inference(quant_inst,[status(thm)],[])).
% 48.86/31.98 tff(12220,plain,
% 48.86/31.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77))),
% 48.86/31.98 inference(modus_ponens,[status(thm)],[12219, 12218])).
% 48.86/31.98 tff(12221,plain,
% 48.86/31.98 (~v101(constB77)),
% 48.86/31.98 inference(unit_resolution,[status(thm)],[12220, 49, 12214, 12211])).
% 48.86/31.98 tff(12222,plain,
% 48.86/31.98 (((~![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)))),
% 48.86/31.98 inference(rewrite,[status(thm)],[])).
% 48.86/31.98 tff(12223,plain,
% 48.86/31.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB76, constB77)) | v101(constB77) | (~v100(constB77)))),
% 48.86/31.98 inference(quant_inst,[status(thm)],[])).
% 48.86/31.98 tff(12224,plain,
% 48.86/31.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB76, constB77)) | v101(constB77) | (~v100(constB77))),
% 48.86/31.98 inference(modus_ponens,[status(thm)],[12223, 12222])).
% 48.86/31.98 tff(12225,plain,
% 48.86/31.98 (v101(constB77) | (~v100(constB77))),
% 48.86/31.98 inference(unit_resolution,[status(thm)],[12224, 66, 12214])).
% 48.86/31.98 tff(12226,plain,
% 48.86/31.98 (~v100(constB77)),
% 48.86/31.98 inference(unit_resolution,[status(thm)],[12225, 12221])).
% 48.86/31.98 tff(12227,plain,
% 48.86/31.98 (((~![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)))),
% 48.86/31.98 inference(rewrite,[status(thm)],[])).
% 48.86/31.98 tff(12228,plain,
% 48.86/31.98 (((~nextState(constB76, constB77)) | v90(constB76, bitIndex2) | v100(constB77) | (~v90(constB77, bitIndex2))) <=> (v90(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex2)))),
% 48.86/31.98 inference(rewrite,[status(thm)],[])).
% 48.86/31.98 tff(12229,plain,
% 48.86/31.98 (((~![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))))),
% 48.86/31.98 inference(monotonicity,[status(thm)],[12228])).
% 48.86/31.98 tff(12230,plain,
% 48.86/31.98 (((~![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)))),
% 48.86/31.98 inference(transitivity,[status(thm)],[12229, 12227])).
% 48.86/31.98 tff(12231,plain,
% 48.86/31.98 ((~![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)))),
% 48.86/31.98 inference(quant_inst,[status(thm)],[])).
% 48.86/31.98 tff(12232,plain,
% 48.86/31.98 ((~![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))),
% 48.86/31.98 inference(modus_ponens,[status(thm)],[12231, 12230])).
% 48.86/31.98 tff(12233,plain,
% 48.86/31.98 (v90(constB76, bitIndex2) | v100(constB77) | (~v90(constB77, bitIndex2))),
% 48.86/31.98 inference(unit_resolution,[status(thm)],[12232, 81, 12214])).
% 48.86/31.98 tff(12234,plain,
% 48.86/31.98 (v90(constB76, bitIndex2) | (~v90(constB77, bitIndex2))),
% 48.86/31.98 inference(unit_resolution,[status(thm)],[12233, 12226])).
% 48.86/31.98 tff(12235,plain,
% 48.86/31.98 (~v90(constB77, bitIndex2)),
% 48.86/31.98 inference(unit_resolution,[status(thm)],[12234, 12208])).
% 48.86/31.98 tff(12236,plain,
% 48.86/31.98 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB75) | v123(constB75) | v122(constB75) | v120(constB75) | v121(constB75) | v119(constB75) | (~v130(constB75, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB75) | v123(constB75) | v122(constB75) | v120(constB75) | v121(constB75) | v119(constB75) | (~v130(constB75, bitIndex1)))),
% 48.86/31.98 inference(rewrite,[status(thm)],[])).
% 48.86/31.98 tff(12237,plain,
% 48.86/31.98 ((v120(constB75) | v119(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | (~v130(constB75, bitIndex1))) <=> (v124(constB75) | v123(constB75) | v122(constB75) | v120(constB75) | v121(constB75) | v119(constB75) | (~v130(constB75, bitIndex1)))),
% 48.86/31.98 inference(rewrite,[status(thm)],[])).
% 48.86/31.98 tff(12238,plain,
% 48.86/31.98 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB75) | v119(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | (~v130(constB75, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB75) | v123(constB75) | v122(constB75) | v120(constB75) | v121(constB75) | v119(constB75) | (~v130(constB75, bitIndex1))))),
% 48.86/31.98 inference(monotonicity,[status(thm)],[12237])).
% 48.86/31.98 tff(12239,plain,
% 48.86/31.98 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB75) | v119(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | (~v130(constB75, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB75) | v123(constB75) | v122(constB75) | v120(constB75) | v121(constB75) | v119(constB75) | (~v130(constB75, bitIndex1)))),
% 48.86/31.98 inference(transitivity,[status(thm)],[12238, 12236])).
% 48.86/31.98 tff(12240,plain,
% 48.86/31.98 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB75) | v119(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | (~v130(constB75, bitIndex1)))),
% 48.86/31.98 inference(quant_inst,[status(thm)],[])).
% 48.86/31.98 tff(12241,plain,
% 48.86/31.98 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB75) | v123(constB75) | v122(constB75) | v120(constB75) | v121(constB75) | v119(constB75) | (~v130(constB75, bitIndex1))),
% 48.86/31.98 inference(modus_ponens,[status(thm)],[12240, 12239])).
% 48.86/31.98 tff(12242,plain,
% 48.86/31.98 (~v130(constB75, bitIndex1)),
% 48.86/31.98 inference(unit_resolution,[status(thm)],[12241, 1143, 12180, 12176, 12172, 12168, 12164, 12160])).
% 48.86/31.98 tff(12243,plain,
% 48.86/31.98 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB75, bitIndex1)) | v26(constB75) | v130(constB75, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB75, bitIndex1)) | v26(constB75) | v130(constB75, bitIndex1))),
% 48.86/31.98 inference(rewrite,[status(thm)],[])).
% 48.86/31.98 tff(12244,plain,
% 48.86/31.98 ((v26(constB75) | v130(constB75, bitIndex1) | (~v127(constB75, bitIndex1))) <=> ((~v127(constB75, bitIndex1)) | v26(constB75) | v130(constB75, bitIndex1))),
% 48.86/31.98 inference(rewrite,[status(thm)],[])).
% 48.86/31.98 tff(12245,plain,
% 48.86/31.98 (((~![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)))) | ((~v127(constB75, bitIndex1)) | v26(constB75) | v130(constB75, bitIndex1)))),
% 48.86/31.98 inference(monotonicity,[status(thm)],[12244])).
% 48.86/31.98 tff(12246,plain,
% 48.86/31.98 (((~![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)))) | (~v127(constB75, bitIndex1)) | v26(constB75) | v130(constB75, bitIndex1))),
% 48.86/31.98 inference(transitivity,[status(thm)],[12245, 12243])).
% 48.86/31.98 tff(12247,plain,
% 48.86/31.98 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB75) | v130(constB75, bitIndex1) | (~v127(constB75, bitIndex1)))),
% 48.86/31.98 inference(quant_inst,[status(thm)],[])).
% 48.86/31.98 tff(12248,plain,
% 48.86/31.98 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB75, bitIndex1)) | v26(constB75) | v130(constB75, bitIndex1)),
% 48.86/31.98 inference(modus_ponens,[status(thm)],[12247, 12246])).
% 48.86/31.98 tff(12249,plain,
% 48.86/31.98 ((~v127(constB75, bitIndex1)) | v130(constB75, bitIndex1)),
% 48.86/31.98 inference(unit_resolution,[status(thm)],[12248, 450, 12110])).
% 48.86/31.98 tff(12250,plain,
% 48.86/31.98 (~v127(constB75, bitIndex1)),
% 48.86/31.98 inference(unit_resolution,[status(thm)],[12249, 12242])).
% 48.86/31.98 tff(12251,plain,
% 48.86/31.98 (((~![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)))),
% 48.86/31.98 inference(rewrite,[status(thm)],[])).
% 48.86/31.98 tff(12252,plain,
% 48.86/31.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB75, constB76)) | v127(constB75, bitIndex1) | (~v129(constB76, bitIndex1)))),
% 48.86/31.98 inference(quant_inst,[status(thm)],[])).
% 48.86/31.98 tff(12253,plain,
% 48.86/31.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB75, constB76)) | v127(constB75, bitIndex1) | (~v129(constB76, bitIndex1))),
% 48.86/31.98 inference(modus_ponens,[status(thm)],[12252, 12251])).
% 48.86/31.98 tff(12254,plain,
% 48.86/31.98 (v127(constB75, bitIndex1) | (~v129(constB76, bitIndex1))),
% 48.86/31.98 inference(unit_resolution,[status(thm)],[12253, 468, 12122])).
% 48.86/31.98 tff(12255,plain,
% 48.86/31.98 (~v129(constB76, bitIndex1)),
% 48.86/31.98 inference(unit_resolution,[status(thm)],[12254, 12250])).
% 48.86/31.98 tff(12256,plain,
% 48.86/31.98 (((~![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)))),
% 48.86/31.98 inference(rewrite,[status(thm)],[])).
% 48.86/31.98 tff(12257,plain,
% 48.86/31.98 (((~v90(constB76, bitIndex1)) | (~v100(constB76)) | v129(constB76, bitIndex1)) <=> ((~v90(constB76, bitIndex1)) | v129(constB76, bitIndex1) | (~v100(constB76)))),
% 48.86/31.98 inference(rewrite,[status(thm)],[])).
% 48.86/31.98 tff(12258,plain,
% 48.86/31.98 (((~![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))))),
% 48.86/31.98 inference(monotonicity,[status(thm)],[12257])).
% 48.86/31.98 tff(12259,plain,
% 48.86/31.98 (((~![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)))),
% 48.86/31.98 inference(transitivity,[status(thm)],[12258, 12256])).
% 48.86/31.98 tff(12260,plain,
% 48.86/31.98 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB76, bitIndex1)) | (~v100(constB76)) | v129(constB76, bitIndex1))),
% 48.86/31.98 inference(quant_inst,[status(thm)],[])).
% 48.86/31.98 tff(12261,plain,
% 48.86/31.98 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB76, bitIndex1)) | v129(constB76, bitIndex1) | (~v100(constB76))),
% 48.86/31.98 inference(modus_ponens,[status(thm)],[12260, 12259])).
% 48.86/31.98 tff(12262,plain,
% 48.86/31.98 ((~v90(constB76, bitIndex1)) | (~v100(constB76))),
% 48.86/31.98 inference(unit_resolution,[status(thm)],[12261, 483, 12255])).
% 48.86/31.98 tff(12263,plain,
% 48.86/31.98 (~v90(constB76, bitIndex1)),
% 48.86/31.98 inference(unit_resolution,[status(thm)],[12262, 12156])).
% 48.86/31.98 tff(12264,plain,
% 48.86/31.98 (((~![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)))),
% 48.86/31.98 inference(rewrite,[status(thm)],[])).
% 48.86/31.98 tff(12265,plain,
% 48.86/31.98 (((~nextState(constB76, constB77)) | v90(constB76, bitIndex1) | v100(constB77) | (~v90(constB77, bitIndex1))) <=> (v90(constB76, bitIndex1) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, bitIndex1)))),
% 48.86/31.98 inference(rewrite,[status(thm)],[])).
% 48.86/31.98 tff(12266,plain,
% 48.86/31.98 (((~![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))))),
% 48.86/31.98 inference(monotonicity,[status(thm)],[12265])).
% 48.86/31.98 tff(12267,plain,
% 48.86/31.98 (((~![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)))),
% 48.86/31.98 inference(transitivity,[status(thm)],[12266, 12264])).
% 48.86/31.98 tff(12268,plain,
% 48.86/31.98 ((~![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)))),
% 48.86/31.98 inference(quant_inst,[status(thm)],[])).
% 48.86/31.98 tff(12269,plain,
% 48.86/31.98 ((~![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))),
% 48.86/31.98 inference(modus_ponens,[status(thm)],[12268, 12267])).
% 48.86/31.98 tff(12270,plain,
% 48.86/31.98 (v90(constB76, bitIndex1) | v100(constB77) | (~v90(constB77, bitIndex1))),
% 48.86/31.98 inference(unit_resolution,[status(thm)],[12269, 102, 12214])).
% 48.86/31.98 tff(12271,plain,
% 48.86/31.98 (v90(constB76, bitIndex1) | (~v90(constB77, bitIndex1))),
% 48.86/31.98 inference(unit_resolution,[status(thm)],[12270, 12226])).
% 48.86/31.98 tff(12272,plain,
% 48.86/31.98 (~v90(constB77, bitIndex1)),
% 48.86/31.98 inference(unit_resolution,[status(thm)],[12271, 12263])).
% 48.86/31.98 tff(12273,plain,
% 48.86/31.98 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB75, bitIndex0) | v124(constB75) | v123(constB75) | v122(constB75) | v120(constB75) | v121(constB75) | v119(constB75))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB75, bitIndex0) | v124(constB75) | v123(constB75) | v122(constB75) | v120(constB75) | v121(constB75) | v119(constB75))),
% 48.86/31.98 inference(rewrite,[status(thm)],[])).
% 48.86/31.98 tff(12274,plain,
% 48.86/31.98 ((v120(constB75) | v119(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | v130(constB75, bitIndex0)) <=> (v130(constB75, bitIndex0) | v124(constB75) | v123(constB75) | v122(constB75) | v120(constB75) | v121(constB75) | v119(constB75))),
% 48.86/31.98 inference(rewrite,[status(thm)],[])).
% 48.86/31.98 tff(12275,plain,
% 48.86/31.98 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB75) | v119(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | v130(constB75, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB75, bitIndex0) | v124(constB75) | v123(constB75) | v122(constB75) | v120(constB75) | v121(constB75) | v119(constB75)))),
% 48.86/31.98 inference(monotonicity,[status(thm)],[12274])).
% 48.86/31.98 tff(12276,plain,
% 48.86/31.98 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB75) | v119(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | v130(constB75, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB75, bitIndex0) | v124(constB75) | v123(constB75) | v122(constB75) | v120(constB75) | v121(constB75) | v119(constB75))),
% 48.86/31.98 inference(transitivity,[status(thm)],[12275, 12273])).
% 48.86/31.98 tff(12277,plain,
% 48.86/31.98 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB75) | v119(constB75) | v121(constB75) | v122(constB75) | v123(constB75) | v124(constB75) | v130(constB75, bitIndex0))),
% 48.86/31.98 inference(quant_inst,[status(thm)],[])).
% 48.86/31.98 tff(12278,plain,
% 48.86/31.98 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB75, bitIndex0) | v124(constB75) | v123(constB75) | v122(constB75) | v120(constB75) | v121(constB75) | v119(constB75)),
% 48.86/31.98 inference(modus_ponens,[status(thm)],[12277, 12276])).
% 48.86/31.98 tff(12279,plain,
% 48.86/31.98 (v130(constB75, bitIndex0)),
% 48.86/31.98 inference(unit_resolution,[status(thm)],[12278, 908, 12180, 12176, 12172, 12168, 12164, 12160])).
% 48.86/31.98 tff(12280,plain,
% 48.86/31.98 (((~![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))) | v26(constB75) | (~v130(constB75, bitIndex0)) | v127(constB75, bitIndex0))),
% 48.86/31.98 inference(rewrite,[status(thm)],[])).
% 48.86/31.98 tff(12281,plain,
% 48.86/31.98 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB75) | (~v130(constB75, bitIndex0)) | v127(constB75, bitIndex0))),
% 48.86/31.98 inference(quant_inst,[status(thm)],[])).
% 48.86/31.98 tff(12282,plain,
% 48.86/31.98 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB75) | (~v130(constB75, bitIndex0)) | v127(constB75, bitIndex0)),
% 48.86/31.98 inference(modus_ponens,[status(thm)],[12281, 12280])).
% 48.86/31.98 tff(12283,plain,
% 48.86/31.98 ((~v130(constB75, bitIndex0)) | v127(constB75, bitIndex0)),
% 48.86/31.98 inference(unit_resolution,[status(thm)],[12282, 926, 12110])).
% 48.86/31.98 tff(12284,plain,
% 48.86/31.98 (v127(constB75, bitIndex0)),
% 48.86/31.98 inference(unit_resolution,[status(thm)],[12283, 12279])).
% 48.86/31.98 tff(12285,plain,
% 48.86/31.98 (((~![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))),
% 48.86/31.98 inference(rewrite,[status(thm)],[])).
% 48.86/31.98 tff(12286,plain,
% 48.86/31.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB75, constB76)) | (~v127(constB75, bitIndex0)) | v129(constB76, bitIndex0))),
% 48.86/31.98 inference(quant_inst,[status(thm)],[])).
% 48.86/31.98 tff(12287,plain,
% 48.86/31.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB75, constB76)) | (~v127(constB75, bitIndex0)) | v129(constB76, bitIndex0)),
% 48.86/31.98 inference(modus_ponens,[status(thm)],[12286, 12285])).
% 48.86/31.98 tff(12288,plain,
% 48.86/31.98 ((~v127(constB75, bitIndex0)) | v129(constB76, bitIndex0)),
% 48.86/31.98 inference(unit_resolution,[status(thm)],[12287, 944, 12122])).
% 48.86/31.98 tff(12289,plain,
% 48.86/31.98 (v129(constB76, bitIndex0)),
% 48.86/31.98 inference(unit_resolution,[status(thm)],[12288, 12284])).
% 48.86/31.98 tff(12290,plain,
% 48.86/31.98 (((~![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)))),
% 48.86/31.98 inference(rewrite,[status(thm)],[])).
% 48.86/31.98 tff(12291,plain,
% 48.86/31.98 ((v90(constB76, bitIndex0) | (~v100(constB76)) | (~v129(constB76, bitIndex0))) <=> (v90(constB76, bitIndex0) | (~v129(constB76, bitIndex0)) | (~v100(constB76)))),
% 48.86/31.98 inference(rewrite,[status(thm)],[])).
% 48.86/31.98 tff(12292,plain,
% 48.86/31.98 (((~![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))))),
% 48.86/31.98 inference(monotonicity,[status(thm)],[12291])).
% 48.86/31.98 tff(12293,plain,
% 48.86/31.98 (((~![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)))),
% 48.86/31.98 inference(transitivity,[status(thm)],[12292, 12290])).
% 48.86/31.98 tff(12294,plain,
% 48.86/31.98 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB76, bitIndex0) | (~v100(constB76)) | (~v129(constB76, bitIndex0)))),
% 48.86/31.98 inference(quant_inst,[status(thm)],[])).
% 48.86/31.98 tff(12295,plain,
% 48.86/31.98 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB76, bitIndex0) | (~v129(constB76, bitIndex0)) | (~v100(constB76))),
% 48.86/31.98 inference(modus_ponens,[status(thm)],[12294, 12293])).
% 48.86/31.98 tff(12296,plain,
% 48.86/31.98 (v90(constB76, bitIndex0) | (~v100(constB76))),
% 48.86/31.98 inference(unit_resolution,[status(thm)],[12295, 1088, 12289])).
% 48.86/31.98 tff(12297,plain,
% 48.86/31.98 (v90(constB76, bitIndex0)),
% 48.86/31.98 inference(unit_resolution,[status(thm)],[12296, 12156])).
% 48.86/31.98 tff(12298,plain,
% 48.86/31.98 (((~![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))),
% 48.86/31.98 inference(rewrite,[status(thm)],[])).
% 48.86/31.98 tff(12299,plain,
% 48.86/31.98 (((~nextState(constB76, constB77)) | (~v90(constB76, bitIndex0)) | v100(constB77) | v90(constB77, bitIndex0)) <=> ((~v90(constB76, bitIndex0)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, bitIndex0))),
% 48.86/31.98 inference(rewrite,[status(thm)],[])).
% 48.86/31.98 tff(12300,plain,
% 48.86/31.98 (((~![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)))),
% 48.86/31.98 inference(monotonicity,[status(thm)],[12299])).
% 48.86/31.98 tff(12301,plain,
% 48.86/31.98 (((~![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))),
% 48.86/31.98 inference(transitivity,[status(thm)],[12300, 12298])).
% 48.86/31.98 tff(12302,plain,
% 48.86/31.98 ((~![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))),
% 48.86/31.98 inference(quant_inst,[status(thm)],[])).
% 48.86/31.98 tff(12303,plain,
% 48.86/31.98 ((~![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)),
% 48.86/31.98 inference(modus_ponens,[status(thm)],[12302, 12301])).
% 48.86/31.98 tff(12304,plain,
% 48.86/31.98 ((~v90(constB76, bitIndex0)) | v100(constB77) | v90(constB77, bitIndex0)),
% 48.86/31.98 inference(unit_resolution,[status(thm)],[12303, 1124, 12214])).
% 48.86/31.98 tff(12305,plain,
% 48.86/31.98 ((~v90(constB76, bitIndex0)) | v90(constB77, bitIndex0)),
% 48.86/31.98 inference(unit_resolution,[status(thm)],[12304, 12226])).
% 48.86/31.98 tff(12306,plain,
% 48.86/31.98 (v90(constB77, bitIndex0)),
% 48.86/31.98 inference(unit_resolution,[status(thm)],[12305, 12297])).
% 48.86/31.98 tff(12307,plain,
% 48.86/31.98 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB77, bitIndex0)) | v90(constB77, bitIndex1) | v90(constB77, bitIndex2) | v120(constB77))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB77, bitIndex0)) | v90(constB77, bitIndex1) | v90(constB77, bitIndex2) | v120(constB77))),
% 48.86/31.98 inference(rewrite,[status(thm)],[])).
% 48.86/31.98 tff(12308,plain,
% 48.86/31.98 (((~v90(constB77, bitIndex0)) | v120(constB77) | v90(constB77, bitIndex1) | v90(constB77, bitIndex2)) <=> ((~v90(constB77, bitIndex0)) | v90(constB77, bitIndex1) | v90(constB77, bitIndex2) | v120(constB77))),
% 48.86/31.98 inference(rewrite,[status(thm)],[])).
% 48.86/31.98 tff(12309,plain,
% 48.86/31.98 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB77, bitIndex0)) | v120(constB77) | v90(constB77, bitIndex1) | v90(constB77, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB77, bitIndex0)) | v90(constB77, bitIndex1) | v90(constB77, bitIndex2) | v120(constB77)))),
% 48.86/31.98 inference(monotonicity,[status(thm)],[12308])).
% 48.86/31.98 tff(12310,plain,
% 48.86/31.98 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB77, bitIndex0)) | v120(constB77) | v90(constB77, bitIndex1) | v90(constB77, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB77, bitIndex0)) | v90(constB77, bitIndex1) | v90(constB77, bitIndex2) | v120(constB77))),
% 48.86/31.98 inference(transitivity,[status(thm)],[12309, 12307])).
% 48.86/31.98 tff(12311,plain,
% 48.86/31.98 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB77, bitIndex0)) | v120(constB77) | v90(constB77, bitIndex1) | v90(constB77, bitIndex2))),
% 48.86/31.98 inference(quant_inst,[status(thm)],[])).
% 48.86/31.98 tff(12312,plain,
% 48.86/31.98 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB77, bitIndex0)) | v90(constB77, bitIndex1) | v90(constB77, bitIndex2) | v120(constB77)),
% 48.86/31.98 inference(modus_ponens,[status(thm)],[12311, 12310])).
% 48.86/31.98 tff(12313,plain,
% 48.86/31.98 (v120(constB77)),
% 48.86/31.98 inference(unit_resolution,[status(thm)],[12312, 1285, 12306, 12272, 12235])).
% 48.86/31.98 tff(12314,plain,
% 48.86/31.98 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB77) | (~v120(constB77)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB77) | (~v120(constB77)))),
% 48.86/31.98 inference(rewrite,[status(thm)],[])).
% 48.86/31.98 tff(12315,plain,
% 48.86/31.98 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB77) | (~v120(constB77)))),
% 48.86/31.98 inference(quant_inst,[status(thm)],[])).
% 48.86/31.98 tff(12316,plain,
% 48.86/31.98 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB77) | (~v120(constB77))),
% 48.86/31.98 inference(modus_ponens,[status(thm)],[12315, 12314])).
% 48.86/31.98 tff(12317,plain,
% 48.86/31.98 (v118(constB77)),
% 48.86/31.98 inference(unit_resolution,[status(thm)],[12316, 1302, 12313])).
% 48.86/31.98 tff(12318,plain,
% 48.86/31.98 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB77) | (~v118(constB77)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB77) | (~v118(constB77)))),
% 48.86/31.98 inference(rewrite,[status(thm)],[])).
% 48.86/31.98 tff(12319,plain,
% 48.86/31.98 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB77) | (~v118(constB77)))),
% 48.86/31.98 inference(quant_inst,[status(thm)],[])).
% 48.86/31.98 tff(12320,plain,
% 48.86/31.98 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB77) | (~v118(constB77))),
% 48.86/31.98 inference(modus_ponens,[status(thm)],[12319, 12318])).
% 48.86/31.98 tff(12321,plain,
% 48.86/31.98 (v117(constB77)),
% 48.86/31.98 inference(unit_resolution,[status(thm)],[12320, 166, 12317])).
% 48.86/31.98 tff(12322,plain,
% 48.86/31.98 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB77) | (~v117(constB77)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB77) | (~v117(constB77)))),
% 48.86/31.98 inference(rewrite,[status(thm)],[])).
% 48.86/31.98 tff(12323,plain,
% 48.86/31.98 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB77) | (~v117(constB77)))),
% 48.86/31.98 inference(quant_inst,[status(thm)],[])).
% 48.86/31.98 tff(12324,plain,
% 48.86/31.98 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB77) | (~v117(constB77))),
% 48.86/31.98 inference(modus_ponens,[status(thm)],[12323, 12322])).
% 48.86/31.99 tff(12325,plain,
% 48.86/31.99 (v116(constB77)),
% 48.86/31.99 inference(unit_resolution,[status(thm)],[12324, 177, 12321])).
% 48.86/31.99 tff(12326,plain,
% 48.86/31.99 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB77) | (~v116(constB77)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB77) | (~v116(constB77)))),
% 48.86/31.99 inference(rewrite,[status(thm)],[])).
% 48.86/31.99 tff(12327,plain,
% 48.86/31.99 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB77) | (~v116(constB77)))),
% 48.86/31.99 inference(quant_inst,[status(thm)],[])).
% 48.86/31.99 tff(12328,plain,
% 48.86/31.99 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB77) | (~v116(constB77))),
% 48.86/31.99 inference(modus_ponens,[status(thm)],[12327, 12326])).
% 48.86/31.99 tff(12329,plain,
% 48.86/31.99 (v115(constB77)),
% 48.86/31.99 inference(unit_resolution,[status(thm)],[12328, 188, 12325])).
% 48.86/31.99 tff(12330,plain,
% 48.86/31.99 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB77) | (~v115(constB77)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB77) | (~v115(constB77)))),
% 48.86/31.99 inference(rewrite,[status(thm)],[])).
% 48.86/31.99 tff(12331,plain,
% 48.86/31.99 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB77) | (~v115(constB77)))),
% 48.86/31.99 inference(quant_inst,[status(thm)],[])).
% 48.86/31.99 tff(12332,plain,
% 48.86/31.99 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB77) | (~v115(constB77))),
% 48.86/31.99 inference(modus_ponens,[status(thm)],[12331, 12330])).
% 48.86/31.99 tff(12333,plain,
% 48.86/31.99 (v114(constB77)),
% 48.86/31.99 inference(unit_resolution,[status(thm)],[12332, 199, 12329])).
% 48.86/31.99 tff(12334,plain,
% 48.86/31.99 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB77) | (~v114(constB77)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB77) | (~v114(constB77)))),
% 48.86/31.99 inference(rewrite,[status(thm)],[])).
% 48.86/31.99 tff(12335,plain,
% 48.86/31.99 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB77) | (~v114(constB77)))),
% 48.86/31.99 inference(quant_inst,[status(thm)],[])).
% 48.86/31.99 tff(12336,plain,
% 48.86/31.99 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB77) | (~v114(constB77))),
% 48.86/31.99 inference(modus_ponens,[status(thm)],[12335, 12334])).
% 48.86/31.99 tff(12337,plain,
% 48.86/31.99 (v113(constB77)),
% 48.86/31.99 inference(unit_resolution,[status(thm)],[12336, 210, 12333])).
% 48.86/31.99 tff(12338,assumption,(v26(constB77)), introduced(assumption)).
% 48.86/31.99 tff(12339,plain,
% 48.86/31.99 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB77))),
% 48.86/31.99 inference(quant_inst,[status(thm)],[])).
% 48.86/31.99 tff(12340,plain,
% 48.86/31.99 ($false),
% 48.86/31.99 inference(unit_resolution,[status(thm)],[12339, 16, 12338])).
% 48.86/31.99 tff(12341,plain,(~v26(constB77)), inference(lemma,lemma(discharge,[]))).
% 48.86/31.99 tff(12342,plain,
% 48.86/31.99 (((~![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))),
% 48.86/31.99 inference(rewrite,[status(thm)],[])).
% 48.86/31.99 tff(12343,plain,
% 48.86/31.99 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB77) | (~v113(constB77)) | v112(constB77))),
% 48.86/31.99 inference(quant_inst,[status(thm)],[])).
% 48.86/31.99 tff(12344,plain,
% 48.86/31.99 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB77) | (~v113(constB77)) | v112(constB77)),
% 48.86/31.99 inference(modus_ponens,[status(thm)],[12343, 12342])).
% 48.86/31.99 tff(12345,plain,
% 48.86/31.99 ((~v113(constB77)) | v112(constB77)),
% 48.86/31.99 inference(unit_resolution,[status(thm)],[12344, 224, 12341])).
% 48.86/31.99 tff(12346,plain,
% 48.86/31.99 (v112(constB77)),
% 48.86/31.99 inference(unit_resolution,[status(thm)],[12345, 12337])).
% 48.86/31.99 tff(12347,plain,
% 48.86/31.99 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB77) | (~v112(constB77)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB77) | (~v112(constB77)))),
% 48.86/31.99 inference(rewrite,[status(thm)],[])).
% 48.86/31.99 tff(12348,plain,
% 48.86/31.99 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB77) | (~v112(constB77)))),
% 48.86/31.99 inference(quant_inst,[status(thm)],[])).
% 48.86/31.99 tff(12349,plain,
% 48.86/31.99 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB77) | (~v112(constB77))),
% 48.86/31.99 inference(modus_ponens,[status(thm)],[12348, 12347])).
% 48.86/31.99 tff(12350,plain,
% 48.86/31.99 (v108(constB77)),
% 48.86/31.99 inference(unit_resolution,[status(thm)],[12349, 236, 12346])).
% 48.86/31.99 tff(12351,plain,
% 48.86/31.99 (nextState(constB77, constB78) <=> nextState(constB77, constB78)),
% 48.86/31.99 inference(rewrite,[status(thm)],[])).
% 48.86/31.99 tff(12352,axiom,(nextState(constB77, constB78)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_77_1')).
% 48.86/31.99 tff(12353,plain,
% 48.86/31.99 (nextState(constB77, constB78)),
% 48.86/31.99 inference(modus_ponens,[status(thm)],[12352, 12351])).
% 48.86/31.99 tff(12354,plain,
% 48.86/31.99 (((~![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)))),
% 48.86/31.99 inference(rewrite,[status(thm)],[])).
% 48.86/31.99 tff(12355,plain,
% 48.86/31.99 (((~nextState(constB77, constB78)) | (~v108(constB77)) | v110(constB78)) <=> ((~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77)))),
% 48.86/31.99 inference(rewrite,[status(thm)],[])).
% 48.86/31.99 tff(12356,plain,
% 48.86/31.99 (((~![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))))),
% 48.86/31.99 inference(monotonicity,[status(thm)],[12355])).
% 48.86/31.99 tff(12357,plain,
% 48.86/31.99 (((~![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)))),
% 48.86/31.99 inference(transitivity,[status(thm)],[12356, 12354])).
% 48.86/31.99 tff(12358,plain,
% 48.86/31.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | (~v108(constB77)) | v110(constB78))),
% 48.86/31.99 inference(quant_inst,[status(thm)],[])).
% 48.86/31.99 tff(12359,plain,
% 48.86/31.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77))),
% 48.86/31.99 inference(modus_ponens,[status(thm)],[12358, 12357])).
% 48.86/31.99 tff(12360,plain,
% 48.86/31.99 (v110(constB78) | (~v108(constB77))),
% 48.86/31.99 inference(unit_resolution,[status(thm)],[12359, 253, 12353])).
% 48.86/31.99 tff(12361,plain,
% 48.86/31.99 (v110(constB78)),
% 48.86/31.99 inference(unit_resolution,[status(thm)],[12360, 12350])).
% 48.86/31.99 tff(12362,plain,
% 48.86/31.99 (((~![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)))),
% 48.86/31.99 inference(rewrite,[status(thm)],[])).
% 48.86/31.99 tff(12363,plain,
% 48.86/31.99 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB77) | (~nextState(constB77, constB78)) | (~v104(constB78)))),
% 48.86/31.99 inference(quant_inst,[status(thm)],[])).
% 48.86/31.99 tff(12364,plain,
% 48.86/31.99 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB77) | (~nextState(constB77, constB78)) | (~v104(constB78))),
% 48.86/31.99 inference(modus_ponens,[status(thm)],[12363, 12362])).
% 48.86/31.99 tff(12365,plain,
% 48.86/31.99 (~v104(constB78)),
% 48.86/31.99 inference(unit_resolution,[status(thm)],[12364, 271, 12353, 12211])).
% 48.86/31.99 tff(12366,plain,
% 48.86/31.99 (((~![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))),
% 48.86/31.99 inference(rewrite,[status(thm)],[])).
% 48.86/31.99 tff(12367,plain,
% 48.86/31.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB77, constB78)) | v102(constB78) | v104(constB78))),
% 48.86/31.99 inference(quant_inst,[status(thm)],[])).
% 48.86/31.99 tff(12368,plain,
% 48.86/31.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB77, constB78)) | v102(constB78) | v104(constB78)),
% 48.86/31.99 inference(modus_ponens,[status(thm)],[12367, 12366])).
% 48.86/31.99 tff(12369,plain,
% 48.86/31.99 (v102(constB78) | v104(constB78)),
% 48.86/31.99 inference(unit_resolution,[status(thm)],[12368, 285, 12353])).
% 48.86/31.99 tff(12370,plain,
% 48.86/31.99 (v102(constB78)),
% 48.86/31.99 inference(unit_resolution,[status(thm)],[12369, 12365])).
% 48.86/31.99 tff(12371,plain,
% 48.86/31.99 (v1(constB78) <=> v1(constB78)),
% 48.86/31.99 inference(rewrite,[status(thm)],[])).
% 48.86/31.99 tff(12372,axiom,(v1(constB78)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_78_1')).
% 48.86/31.99 tff(12373,plain,
% 48.86/31.99 (v1(constB78)),
% 48.86/31.99 inference(modus_ponens,[status(thm)],[12372, 12371])).
% 48.86/31.99 tff(12374,plain,
% 48.86/31.99 (((~![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)))),
% 48.86/31.99 inference(rewrite,[status(thm)],[])).
% 48.86/31.99 tff(12375,plain,
% 48.86/31.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB77, constB78)) | v101(constB78) | (~v102(constB78)) | (~v1(constB78)))),
% 48.86/31.99 inference(quant_inst,[status(thm)],[])).
% 48.86/31.99 tff(12376,plain,
% 48.86/31.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB77, constB78)) | v101(constB78) | (~v102(constB78)) | (~v1(constB78))),
% 48.86/31.99 inference(modus_ponens,[status(thm)],[12375, 12374])).
% 48.86/31.99 tff(12377,plain,
% 48.86/31.99 (v101(constB78) | (~v102(constB78))),
% 48.86/31.99 inference(unit_resolution,[status(thm)],[12376, 303, 12353, 12373])).
% 48.86/31.99 tff(12378,plain,
% 48.86/31.99 (v101(constB78)),
% 48.86/31.99 inference(unit_resolution,[status(thm)],[12377, 12370])).
% 48.86/31.99 tff(12379,plain,
% 48.86/31.99 (((~![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)))),
% 48.86/31.99 inference(rewrite,[status(thm)],[])).
% 48.86/31.99 tff(12380,plain,
% 48.86/31.99 (((~nextState(constB77, constB78)) | (~v101(constB78)) | (~v110(constB78)) | v100(constB78)) <=> ((~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78)))),
% 48.86/31.99 inference(rewrite,[status(thm)],[])).
% 48.86/31.99 tff(12381,plain,
% 48.86/31.99 (((~![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))))),
% 48.86/31.99 inference(monotonicity,[status(thm)],[12380])).
% 48.86/31.99 tff(12382,plain,
% 48.86/31.99 (((~![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)))),
% 48.86/31.99 inference(transitivity,[status(thm)],[12381, 12379])).
% 48.86/31.99 tff(12383,plain,
% 48.86/31.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | (~v101(constB78)) | (~v110(constB78)) | v100(constB78))),
% 48.86/31.99 inference(quant_inst,[status(thm)],[])).
% 48.86/31.99 tff(12384,plain,
% 48.86/31.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78))),
% 48.86/31.99 inference(modus_ponens,[status(thm)],[12383, 12382])).
% 48.86/31.99 tff(12385,plain,
% 48.86/31.99 (v100(constB78) | (~v101(constB78)) | (~v110(constB78))),
% 48.86/31.99 inference(unit_resolution,[status(thm)],[12384, 318, 12353])).
% 48.86/31.99 tff(12386,plain,
% 48.86/31.99 (v100(constB78) | (~v110(constB78))),
% 48.86/31.99 inference(unit_resolution,[status(thm)],[12385, 12378])).
% 48.86/31.99 tff(12387,plain,
% 48.86/31.99 (v100(constB78)),
% 48.86/31.99 inference(unit_resolution,[status(thm)],[12386, 12361])).
% 48.86/31.99 tff(12388,plain,
% 48.86/31.99 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB77)) | (~v130(constB77, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB77)) | (~v130(constB77, bitIndex2)))),
% 48.86/31.99 inference(rewrite,[status(thm)],[])).
% 48.86/31.99 tff(12389,plain,
% 48.86/31.99 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB77)) | (~v130(constB77, bitIndex2)))),
% 48.86/31.99 inference(quant_inst,[status(thm)],[])).
% 48.86/31.99 tff(12390,plain,
% 48.86/31.99 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB77)) | (~v130(constB77, bitIndex2))),
% 48.86/31.99 inference(modus_ponens,[status(thm)],[12389, 12388])).
% 48.86/31.99 tff(12391,plain,
% 48.86/31.99 (~v130(constB77, bitIndex2)),
% 48.86/31.99 inference(unit_resolution,[status(thm)],[12390, 1383, 12313])).
% 48.86/31.99 tff(12392,plain,
% 48.86/31.99 (((~![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))),
% 48.86/31.99 inference(rewrite,[status(thm)],[])).
% 48.86/31.99 tff(12393,plain,
% 48.86/31.99 ((v26(constB77) | v130(constB77, bitIndex2) | (~v127(constB77, bitIndex2))) <=> ((~v127(constB77, bitIndex2)) | v26(constB77) | v130(constB77, bitIndex2))),
% 48.86/31.99 inference(rewrite,[status(thm)],[])).
% 48.86/31.99 tff(12394,plain,
% 48.86/31.99 (((~![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)))),
% 48.86/31.99 inference(monotonicity,[status(thm)],[12393])).
% 48.86/31.99 tff(12395,plain,
% 48.86/31.99 (((~![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))),
% 48.86/31.99 inference(transitivity,[status(thm)],[12394, 12392])).
% 48.86/31.99 tff(12396,plain,
% 48.86/31.99 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB77) | v130(constB77, bitIndex2) | (~v127(constB77, bitIndex2)))),
% 48.86/31.99 inference(quant_inst,[status(thm)],[])).
% 48.86/31.99 tff(12397,plain,
% 48.86/31.99 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB77, bitIndex2)) | v26(constB77) | v130(constB77, bitIndex2)),
% 48.86/31.99 inference(modus_ponens,[status(thm)],[12396, 12395])).
% 48.86/31.99 tff(12398,plain,
% 48.86/31.99 ((~v127(constB77, bitIndex2)) | v130(constB77, bitIndex2)),
% 48.86/31.99 inference(unit_resolution,[status(thm)],[12397, 1210, 12341])).
% 48.86/31.99 tff(12399,plain,
% 48.86/31.99 (~v127(constB77, bitIndex2)),
% 48.86/31.99 inference(unit_resolution,[status(thm)],[12398, 12391])).
% 48.86/31.99 tff(12400,plain,
% 48.86/31.99 (((~![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)))),
% 48.86/31.99 inference(rewrite,[status(thm)],[])).
% 48.86/31.99 tff(12401,plain,
% 48.86/31.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB77, constB78)) | v127(constB77, bitIndex2) | (~v129(constB78, bitIndex2)))),
% 48.86/31.99 inference(quant_inst,[status(thm)],[])).
% 48.86/31.99 tff(12402,plain,
% 48.86/31.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB77, constB78)) | v127(constB77, bitIndex2) | (~v129(constB78, bitIndex2))),
% 48.86/31.99 inference(modus_ponens,[status(thm)],[12401, 12400])).
% 48.86/31.99 tff(12403,plain,
% 48.86/31.99 (v127(constB77, bitIndex2) | (~v129(constB78, bitIndex2))),
% 48.86/31.99 inference(unit_resolution,[status(thm)],[12402, 1243, 12353])).
% 48.86/31.99 tff(12404,plain,
% 48.86/31.99 (~v129(constB78, bitIndex2)),
% 48.86/31.99 inference(unit_resolution,[status(thm)],[12403, 12399])).
% 48.86/31.99 tff(12405,plain,
% 48.86/31.99 (((~![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)))),
% 48.86/31.99 inference(rewrite,[status(thm)],[])).
% 48.86/31.99 tff(12406,plain,
% 48.86/31.99 (((~v90(constB78, bitIndex2)) | (~v100(constB78)) | v129(constB78, bitIndex2)) <=> ((~v90(constB78, bitIndex2)) | v129(constB78, bitIndex2) | (~v100(constB78)))),
% 48.86/31.99 inference(rewrite,[status(thm)],[])).
% 48.86/31.99 tff(12407,plain,
% 48.86/31.99 (((~![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))))),
% 48.86/31.99 inference(monotonicity,[status(thm)],[12406])).
% 48.86/31.99 tff(12408,plain,
% 48.86/31.99 (((~![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)))),
% 48.86/31.99 inference(transitivity,[status(thm)],[12407, 12405])).
% 48.86/31.99 tff(12409,plain,
% 48.86/31.99 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB78, bitIndex2)) | (~v100(constB78)) | v129(constB78, bitIndex2))),
% 48.86/31.99 inference(quant_inst,[status(thm)],[])).
% 48.86/31.99 tff(12410,plain,
% 48.86/31.99 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB78, bitIndex2)) | v129(constB78, bitIndex2) | (~v100(constB78))),
% 48.86/31.99 inference(modus_ponens,[status(thm)],[12409, 12408])).
% 48.86/31.99 tff(12411,plain,
% 48.86/31.99 ((~v90(constB78, bitIndex2)) | (~v100(constB78))),
% 48.86/31.99 inference(unit_resolution,[status(thm)],[12410, 1258, 12404])).
% 48.86/31.99 tff(12412,plain,
% 48.86/31.99 (~v90(constB78, bitIndex2)),
% 48.86/31.99 inference(unit_resolution,[status(thm)],[12411, 12387])).
% 48.86/31.99 tff(12413,plain,
% 48.86/31.99 ((~v1(constB79)) <=> (~v1(constB79))),
% 48.86/31.99 inference(rewrite,[status(thm)],[])).
% 48.86/31.99 tff(12414,axiom,(~v1(constB79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_79_1_1')).
% 48.86/31.99 tff(12415,plain,
% 48.86/31.99 (~v1(constB79)),
% 48.86/31.99 inference(modus_ponens,[status(thm)],[12414, 12413])).
% 48.86/31.99 tff(12416,plain,
% 48.86/31.99 (nextState(constB78, constB79) <=> nextState(constB78, constB79)),
% 48.86/31.99 inference(rewrite,[status(thm)],[])).
% 48.86/31.99 tff(12417,axiom,(nextState(constB78, constB79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_78_1')).
% 48.86/31.99 tff(12418,plain,
% 48.86/31.99 (nextState(constB78, constB79)),
% 48.86/31.99 inference(modus_ponens,[status(thm)],[12417, 12416])).
% 48.86/31.99 tff(12419,plain,
% 48.86/31.99 (((~![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)))),
% 48.86/31.99 inference(rewrite,[status(thm)],[])).
% 48.86/31.99 tff(12420,plain,
% 48.86/31.99 (((~nextState(constB78, constB79)) | (~v101(constB79)) | v1(constB79)) <=> (v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79)))),
% 48.86/31.99 inference(rewrite,[status(thm)],[])).
% 48.86/31.99 tff(12421,plain,
% 48.86/31.99 (((~![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))))),
% 48.86/31.99 inference(monotonicity,[status(thm)],[12420])).
% 48.86/31.99 tff(12422,plain,
% 48.86/31.99 (((~![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)))),
% 48.86/31.99 inference(transitivity,[status(thm)],[12421, 12419])).
% 48.86/31.99 tff(12423,plain,
% 48.86/31.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB78, constB79)) | (~v101(constB79)) | v1(constB79))),
% 48.86/31.99 inference(quant_inst,[status(thm)],[])).
% 48.86/31.99 tff(12424,plain,
% 48.86/31.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79))),
% 48.86/31.99 inference(modus_ponens,[status(thm)],[12423, 12422])).
% 48.86/31.99 tff(12425,plain,
% 48.86/31.99 (~v101(constB79)),
% 48.86/31.99 inference(unit_resolution,[status(thm)],[12424, 49, 12418, 12415])).
% 48.86/31.99 tff(12426,plain,
% 48.86/31.99 (((~![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)))),
% 48.86/31.99 inference(rewrite,[status(thm)],[])).
% 48.86/31.99 tff(12427,plain,
% 48.86/31.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB78, constB79)) | v101(constB79) | (~v100(constB79)))),
% 48.86/31.99 inference(quant_inst,[status(thm)],[])).
% 48.86/31.99 tff(12428,plain,
% 48.86/31.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB78, constB79)) | v101(constB79) | (~v100(constB79))),
% 48.86/31.99 inference(modus_ponens,[status(thm)],[12427, 12426])).
% 48.86/31.99 tff(12429,plain,
% 48.86/31.99 (v101(constB79) | (~v100(constB79))),
% 48.86/31.99 inference(unit_resolution,[status(thm)],[12428, 66, 12418])).
% 48.86/31.99 tff(12430,plain,
% 48.86/31.99 (~v100(constB79)),
% 48.86/31.99 inference(unit_resolution,[status(thm)],[12429, 12425])).
% 48.86/31.99 tff(12431,plain,
% 48.86/31.99 (((~![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)))),
% 48.86/31.99 inference(rewrite,[status(thm)],[])).
% 48.86/31.99 tff(12432,plain,
% 48.86/31.99 (((~nextState(constB78, constB79)) | v90(constB78, bitIndex2) | v100(constB79) | (~v90(constB79, bitIndex2))) <=> (v90(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex2)))),
% 48.86/31.99 inference(rewrite,[status(thm)],[])).
% 48.86/31.99 tff(12433,plain,
% 48.86/31.99 (((~![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))))),
% 48.86/31.99 inference(monotonicity,[status(thm)],[12432])).
% 48.86/31.99 tff(12434,plain,
% 48.86/31.99 (((~![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)))),
% 48.86/31.99 inference(transitivity,[status(thm)],[12433, 12431])).
% 48.86/31.99 tff(12435,plain,
% 48.86/31.99 ((~![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)))),
% 48.86/31.99 inference(quant_inst,[status(thm)],[])).
% 48.86/31.99 tff(12436,plain,
% 48.86/31.99 ((~![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))),
% 48.86/31.99 inference(modus_ponens,[status(thm)],[12435, 12434])).
% 48.86/31.99 tff(12437,plain,
% 48.86/31.99 (v90(constB78, bitIndex2) | v100(constB79) | (~v90(constB79, bitIndex2))),
% 48.86/31.99 inference(unit_resolution,[status(thm)],[12436, 81, 12418])).
% 48.86/31.99 tff(12438,plain,
% 48.86/31.99 (v90(constB78, bitIndex2) | (~v90(constB79, bitIndex2))),
% 48.86/31.99 inference(unit_resolution,[status(thm)],[12437, 12430])).
% 48.86/31.99 tff(12439,plain,
% 48.86/31.99 (~v90(constB79, bitIndex2)),
% 48.86/31.99 inference(unit_resolution,[status(thm)],[12438, 12412])).
% 48.86/31.99 tff(12440,plain,
% 48.86/31.99 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB77)) | v130(constB77, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB77)) | v130(constB77, bitIndex1))),
% 48.86/31.99 inference(rewrite,[status(thm)],[])).
% 48.86/31.99 tff(12441,plain,
% 48.86/31.99 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB77)) | v130(constB77, bitIndex1))),
% 48.86/31.99 inference(quant_inst,[status(thm)],[])).
% 48.86/31.99 tff(12442,plain,
% 48.86/31.99 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB77)) | v130(constB77, bitIndex1)),
% 48.86/31.99 inference(modus_ponens,[status(thm)],[12441, 12440])).
% 48.86/31.99 tff(12443,plain,
% 48.86/31.99 (v130(constB77, bitIndex1)),
% 48.86/31.99 inference(unit_resolution,[status(thm)],[12442, 1450, 12313])).
% 48.86/31.99 tff(12444,plain,
% 48.86/31.99 (((~![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))),
% 48.86/31.99 inference(rewrite,[status(thm)],[])).
% 48.86/31.99 tff(12445,plain,
% 48.86/31.99 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB77) | (~v130(constB77, bitIndex1)) | v127(constB77, bitIndex1))),
% 48.86/31.99 inference(quant_inst,[status(thm)],[])).
% 48.86/31.99 tff(12446,plain,
% 48.86/31.99 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB77) | (~v130(constB77, bitIndex1)) | v127(constB77, bitIndex1)),
% 48.86/31.99 inference(modus_ponens,[status(thm)],[12445, 12444])).
% 48.86/31.99 tff(12447,plain,
% 48.86/31.99 ((~v130(constB77, bitIndex1)) | v127(constB77, bitIndex1)),
% 48.86/31.99 inference(unit_resolution,[status(thm)],[12446, 681, 12341])).
% 48.86/31.99 tff(12448,plain,
% 48.86/31.99 (v127(constB77, bitIndex1)),
% 48.86/31.99 inference(unit_resolution,[status(thm)],[12447, 12443])).
% 48.86/31.99 tff(12449,plain,
% 48.86/31.99 (((~![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))),
% 48.86/31.99 inference(rewrite,[status(thm)],[])).
% 48.86/31.99 tff(12450,plain,
% 48.86/31.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB77, constB78)) | (~v127(constB77, bitIndex1)) | v129(constB78, bitIndex1))),
% 48.86/31.99 inference(quant_inst,[status(thm)],[])).
% 48.86/31.99 tff(12451,plain,
% 48.86/31.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB77, constB78)) | (~v127(constB77, bitIndex1)) | v129(constB78, bitIndex1)),
% 48.86/31.99 inference(modus_ponens,[status(thm)],[12450, 12449])).
% 48.86/31.99 tff(12452,plain,
% 48.86/31.99 ((~v127(constB77, bitIndex1)) | v129(constB78, bitIndex1)),
% 48.86/31.99 inference(unit_resolution,[status(thm)],[12451, 696, 12353])).
% 48.86/31.99 tff(12453,plain,
% 48.86/31.99 (v129(constB78, bitIndex1)),
% 48.86/31.99 inference(unit_resolution,[status(thm)],[12452, 12448])).
% 48.86/31.99 tff(12454,plain,
% 48.86/31.99 (((~![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)))),
% 48.86/31.99 inference(rewrite,[status(thm)],[])).
% 48.86/31.99 tff(12455,plain,
% 48.86/31.99 ((v90(constB78, bitIndex1) | (~v100(constB78)) | (~v129(constB78, bitIndex1))) <=> (v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1)) | (~v100(constB78)))),
% 48.86/31.99 inference(rewrite,[status(thm)],[])).
% 48.86/31.99 tff(12456,plain,
% 48.86/31.99 (((~![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))))),
% 48.86/31.99 inference(monotonicity,[status(thm)],[12455])).
% 48.86/31.99 tff(12457,plain,
% 48.86/31.99 (((~![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)))),
% 48.86/31.99 inference(transitivity,[status(thm)],[12456, 12454])).
% 48.86/31.99 tff(12458,plain,
% 48.86/31.99 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB78, bitIndex1) | (~v100(constB78)) | (~v129(constB78, bitIndex1)))),
% 48.86/31.99 inference(quant_inst,[status(thm)],[])).
% 48.86/31.99 tff(12459,plain,
% 48.86/31.99 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB78, bitIndex1) | (~v129(constB78, bitIndex1)) | (~v100(constB78))),
% 48.86/31.99 inference(modus_ponens,[status(thm)],[12458, 12457])).
% 48.86/31.99 tff(12460,plain,
% 48.86/31.99 (v90(constB78, bitIndex1) | (~v100(constB78))),
% 48.86/31.99 inference(unit_resolution,[status(thm)],[12459, 711, 12453])).
% 48.86/31.99 tff(12461,plain,
% 48.86/31.99 (v90(constB78, bitIndex1)),
% 48.86/31.99 inference(unit_resolution,[status(thm)],[12460, 12387])).
% 48.86/31.99 tff(12462,plain,
% 48.86/31.99 (((~![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))),
% 48.86/32.00 inference(rewrite,[status(thm)],[])).
% 48.86/32.00 tff(12463,plain,
% 48.86/32.00 (((~nextState(constB78, constB79)) | (~v90(constB78, bitIndex1)) | v100(constB79) | v90(constB79, bitIndex1)) <=> ((~v90(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, bitIndex1))),
% 48.86/32.00 inference(rewrite,[status(thm)],[])).
% 48.86/32.00 tff(12464,plain,
% 48.86/32.00 (((~![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)))),
% 48.86/32.00 inference(monotonicity,[status(thm)],[12463])).
% 48.86/32.00 tff(12465,plain,
% 48.86/32.00 (((~![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))),
% 48.86/32.00 inference(transitivity,[status(thm)],[12464, 12462])).
% 48.86/32.00 tff(12466,plain,
% 48.86/32.00 ((~![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))),
% 48.86/32.00 inference(quant_inst,[status(thm)],[])).
% 48.86/32.00 tff(12467,plain,
% 48.86/32.00 ((~![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)),
% 48.86/32.00 inference(modus_ponens,[status(thm)],[12466, 12465])).
% 48.86/32.00 tff(12468,plain,
% 48.86/32.00 ((~v90(constB78, bitIndex1)) | v100(constB79) | v90(constB79, bitIndex1)),
% 48.86/32.00 inference(unit_resolution,[status(thm)],[12467, 747, 12418])).
% 48.86/32.00 tff(12469,plain,
% 48.86/32.00 ((~v90(constB78, bitIndex1)) | v90(constB79, bitIndex1)),
% 48.86/32.00 inference(unit_resolution,[status(thm)],[12468, 12430])).
% 48.86/32.00 tff(12470,plain,
% 48.86/32.00 (v90(constB79, bitIndex1)),
% 48.86/32.00 inference(unit_resolution,[status(thm)],[12469, 12461])).
% 48.86/32.00 tff(12471,plain,
% 48.86/32.00 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB77)) | (~v130(constB77, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB77)) | (~v130(constB77, bitIndex0)))),
% 48.86/32.00 inference(rewrite,[status(thm)],[])).
% 48.86/32.00 tff(12472,plain,
% 48.86/32.00 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB77)) | (~v130(constB77, bitIndex0)))),
% 48.86/32.00 inference(quant_inst,[status(thm)],[])).
% 48.86/32.00 tff(12473,plain,
% 48.86/32.00 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB77)) | (~v130(constB77, bitIndex0))),
% 48.86/32.00 inference(modus_ponens,[status(thm)],[12472, 12471])).
% 48.86/32.00 tff(12474,plain,
% 48.86/32.00 (~v130(constB77, bitIndex0)),
% 48.86/32.00 inference(unit_resolution,[status(thm)],[12473, 1492, 12313])).
% 48.86/32.00 tff(12475,plain,
% 48.86/32.00 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB77, bitIndex0)) | v26(constB77) | v130(constB77, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB77, bitIndex0)) | v26(constB77) | v130(constB77, bitIndex0))),
% 48.86/32.00 inference(rewrite,[status(thm)],[])).
% 48.86/32.00 tff(12476,plain,
% 48.86/32.00 ((v26(constB77) | v130(constB77, bitIndex0) | (~v127(constB77, bitIndex0))) <=> ((~v127(constB77, bitIndex0)) | v26(constB77) | v130(constB77, bitIndex0))),
% 48.86/32.00 inference(rewrite,[status(thm)],[])).
% 48.86/32.00 tff(12477,plain,
% 48.86/32.00 (((~![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)))) | ((~v127(constB77, bitIndex0)) | v26(constB77) | v130(constB77, bitIndex0)))),
% 48.86/32.00 inference(monotonicity,[status(thm)],[12476])).
% 48.86/32.00 tff(12478,plain,
% 48.86/32.00 (((~![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)))) | (~v127(constB77, bitIndex0)) | v26(constB77) | v130(constB77, bitIndex0))),
% 48.86/32.00 inference(transitivity,[status(thm)],[12477, 12475])).
% 48.86/32.00 tff(12479,plain,
% 48.86/32.00 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB77) | v130(constB77, bitIndex0) | (~v127(constB77, bitIndex0)))),
% 48.86/32.00 inference(quant_inst,[status(thm)],[])).
% 48.86/32.00 tff(12480,plain,
% 48.86/32.00 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB77, bitIndex0)) | v26(constB77) | v130(constB77, bitIndex0)),
% 48.86/32.00 inference(modus_ponens,[status(thm)],[12479, 12478])).
% 48.86/32.00 tff(12481,plain,
% 48.86/32.00 ((~v127(constB77, bitIndex0)) | v130(constB77, bitIndex0)),
% 48.86/32.00 inference(unit_resolution,[status(thm)],[12480, 524, 12341])).
% 48.86/32.00 tff(12482,plain,
% 48.86/32.00 (~v127(constB77, bitIndex0)),
% 48.86/32.00 inference(unit_resolution,[status(thm)],[12481, 12474])).
% 48.86/32.00 tff(12483,plain,
% 48.86/32.00 (((~![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)))),
% 48.86/32.00 inference(rewrite,[status(thm)],[])).
% 48.86/32.00 tff(12484,plain,
% 48.86/32.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB77, constB78)) | v127(constB77, bitIndex0) | (~v129(constB78, bitIndex0)))),
% 48.86/32.00 inference(quant_inst,[status(thm)],[])).
% 48.86/32.00 tff(12485,plain,
% 48.86/32.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB77, constB78)) | v127(constB77, bitIndex0) | (~v129(constB78, bitIndex0))),
% 48.86/32.00 inference(modus_ponens,[status(thm)],[12484, 12483])).
% 48.86/32.00 tff(12486,plain,
% 48.86/32.00 (v127(constB77, bitIndex0) | (~v129(constB78, bitIndex0))),
% 48.86/32.00 inference(unit_resolution,[status(thm)],[12485, 542, 12353])).
% 48.86/32.00 tff(12487,plain,
% 48.86/32.00 (~v129(constB78, bitIndex0)),
% 48.86/32.00 inference(unit_resolution,[status(thm)],[12486, 12482])).
% 48.86/32.00 tff(12488,plain,
% 48.86/32.00 (((~![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)))),
% 48.86/32.00 inference(rewrite,[status(thm)],[])).
% 48.86/32.00 tff(12489,plain,
% 48.86/32.00 (((~v90(constB78, bitIndex0)) | (~v100(constB78)) | v129(constB78, bitIndex0)) <=> ((~v90(constB78, bitIndex0)) | v129(constB78, bitIndex0) | (~v100(constB78)))),
% 48.86/32.00 inference(rewrite,[status(thm)],[])).
% 48.86/32.00 tff(12490,plain,
% 48.86/32.00 (((~![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))))),
% 48.86/32.00 inference(monotonicity,[status(thm)],[12489])).
% 48.86/32.00 tff(12491,plain,
% 48.86/32.00 (((~![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)))),
% 48.86/32.00 inference(transitivity,[status(thm)],[12490, 12488])).
% 48.86/32.00 tff(12492,plain,
% 48.86/32.00 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB78, bitIndex0)) | (~v100(constB78)) | v129(constB78, bitIndex0))),
% 48.86/32.00 inference(quant_inst,[status(thm)],[])).
% 48.86/32.00 tff(12493,plain,
% 48.86/32.00 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB78, bitIndex0)) | v129(constB78, bitIndex0) | (~v100(constB78))),
% 48.86/32.00 inference(modus_ponens,[status(thm)],[12492, 12491])).
% 48.86/32.00 tff(12494,plain,
% 48.86/32.00 ((~v90(constB78, bitIndex0)) | (~v100(constB78))),
% 48.86/32.00 inference(unit_resolution,[status(thm)],[12493, 557, 12487])).
% 48.86/32.00 tff(12495,plain,
% 48.86/32.00 (~v90(constB78, bitIndex0)),
% 48.86/32.00 inference(unit_resolution,[status(thm)],[12494, 12387])).
% 48.86/32.00 tff(12496,plain,
% 48.86/32.00 (((~![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)))),
% 48.86/32.00 inference(rewrite,[status(thm)],[])).
% 48.86/32.00 tff(12497,plain,
% 48.86/32.00 (((~nextState(constB78, constB79)) | v90(constB78, bitIndex0) | v100(constB79) | (~v90(constB79, bitIndex0))) <=> (v90(constB78, bitIndex0) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, bitIndex0)))),
% 48.86/32.00 inference(rewrite,[status(thm)],[])).
% 48.86/32.00 tff(12498,plain,
% 48.86/32.00 (((~![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))))),
% 48.86/32.00 inference(monotonicity,[status(thm)],[12497])).
% 48.86/32.00 tff(12499,plain,
% 48.86/32.00 (((~![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)))),
% 48.86/32.00 inference(transitivity,[status(thm)],[12498, 12496])).
% 48.86/32.00 tff(12500,plain,
% 48.86/32.00 ((~![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)))),
% 48.86/32.00 inference(quant_inst,[status(thm)],[])).
% 48.86/32.00 tff(12501,plain,
% 48.86/32.00 ((~![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))),
% 48.86/32.00 inference(modus_ponens,[status(thm)],[12500, 12499])).
% 48.86/32.00 tff(12502,plain,
% 48.86/32.00 (v90(constB78, bitIndex0) | v100(constB79) | (~v90(constB79, bitIndex0))),
% 48.86/32.00 inference(unit_resolution,[status(thm)],[12501, 123, 12418])).
% 48.86/32.00 tff(12503,plain,
% 48.86/32.00 (v90(constB78, bitIndex0) | (~v90(constB79, bitIndex0))),
% 48.86/32.00 inference(unit_resolution,[status(thm)],[12502, 12430])).
% 48.86/32.00 tff(12504,plain,
% 48.86/32.00 (~v90(constB79, bitIndex0)),
% 48.86/32.00 inference(unit_resolution,[status(thm)],[12503, 12495])).
% 48.86/32.00 tff(12505,plain,
% 48.86/32.00 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB79, bitIndex0) | (~v90(constB79, bitIndex1)) | v90(constB79, bitIndex2) | v121(constB79))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB79, bitIndex0) | (~v90(constB79, bitIndex1)) | v90(constB79, bitIndex2) | v121(constB79))),
% 48.86/32.00 inference(rewrite,[status(thm)],[])).
% 48.86/32.00 tff(12506,plain,
% 48.86/32.00 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB79, bitIndex0) | (~v90(constB79, bitIndex1)) | v90(constB79, bitIndex2) | v121(constB79))),
% 48.86/32.00 inference(quant_inst,[status(thm)],[])).
% 48.86/32.00 tff(12507,plain,
% 48.86/32.00 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB79, bitIndex0) | (~v90(constB79, bitIndex1)) | v90(constB79, bitIndex2) | v121(constB79)),
% 48.86/32.00 inference(modus_ponens,[status(thm)],[12506, 12505])).
% 48.86/32.00 tff(12508,plain,
% 48.86/32.00 (v121(constB79)),
% 48.86/32.00 inference(unit_resolution,[status(thm)],[12507, 1551, 12504, 12470, 12439])).
% 48.86/32.00 tff(12509,plain,
% 48.86/32.00 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB79) | (~v121(constB79)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB79) | (~v121(constB79)))),
% 48.86/32.00 inference(rewrite,[status(thm)],[])).
% 48.86/32.00 tff(12510,plain,
% 48.86/32.00 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB79) | (~v121(constB79)))),
% 48.86/32.00 inference(quant_inst,[status(thm)],[])).
% 48.86/32.00 tff(12511,plain,
% 48.86/32.00 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB79) | (~v121(constB79))),
% 48.86/32.00 inference(modus_ponens,[status(thm)],[12510, 12509])).
% 48.86/32.00 tff(12512,plain,
% 48.86/32.00 (v117(constB79)),
% 48.86/32.00 inference(unit_resolution,[status(thm)],[12511, 1562, 12508])).
% 48.86/32.00 tff(12513,plain,
% 48.86/32.00 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB79) | (~v117(constB79)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB79) | (~v117(constB79)))),
% 48.86/32.00 inference(rewrite,[status(thm)],[])).
% 48.86/32.00 tff(12514,plain,
% 48.86/32.00 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB79) | (~v117(constB79)))),
% 48.86/32.00 inference(quant_inst,[status(thm)],[])).
% 48.86/32.00 tff(12515,plain,
% 48.86/32.00 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB79) | (~v117(constB79))),
% 48.86/32.00 inference(modus_ponens,[status(thm)],[12514, 12513])).
% 48.86/32.00 tff(12516,plain,
% 48.86/32.00 (v116(constB79)),
% 48.86/32.00 inference(unit_resolution,[status(thm)],[12515, 177, 12512])).
% 48.86/32.00 tff(12517,plain,
% 48.86/32.00 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB79) | (~v116(constB79)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB79) | (~v116(constB79)))),
% 48.86/32.00 inference(rewrite,[status(thm)],[])).
% 48.86/32.00 tff(12518,plain,
% 48.86/32.00 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB79) | (~v116(constB79)))),
% 48.86/32.00 inference(quant_inst,[status(thm)],[])).
% 48.86/32.00 tff(12519,plain,
% 48.86/32.00 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB79) | (~v116(constB79))),
% 48.86/32.00 inference(modus_ponens,[status(thm)],[12518, 12517])).
% 48.86/32.00 tff(12520,plain,
% 48.86/32.00 (v115(constB79)),
% 48.86/32.00 inference(unit_resolution,[status(thm)],[12519, 188, 12516])).
% 48.86/32.00 tff(12521,plain,
% 48.86/32.00 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB79) | (~v115(constB79)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB79) | (~v115(constB79)))),
% 48.86/32.00 inference(rewrite,[status(thm)],[])).
% 48.86/32.00 tff(12522,plain,
% 48.86/32.00 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB79) | (~v115(constB79)))),
% 48.86/32.00 inference(quant_inst,[status(thm)],[])).
% 48.86/32.00 tff(12523,plain,
% 48.86/32.00 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB79) | (~v115(constB79))),
% 48.86/32.00 inference(modus_ponens,[status(thm)],[12522, 12521])).
% 48.86/32.00 tff(12524,plain,
% 48.86/32.00 (v114(constB79)),
% 48.86/32.00 inference(unit_resolution,[status(thm)],[12523, 199, 12520])).
% 48.86/32.00 tff(12525,plain,
% 48.86/32.00 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB79) | (~v114(constB79)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB79) | (~v114(constB79)))),
% 48.86/32.00 inference(rewrite,[status(thm)],[])).
% 48.86/32.00 tff(12526,plain,
% 48.86/32.00 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB79) | (~v114(constB79)))),
% 48.86/32.00 inference(quant_inst,[status(thm)],[])).
% 48.86/32.00 tff(12527,plain,
% 48.86/32.00 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB79) | (~v114(constB79))),
% 48.86/32.00 inference(modus_ponens,[status(thm)],[12526, 12525])).
% 48.86/32.00 tff(12528,plain,
% 48.86/32.00 (v113(constB79)),
% 48.86/32.00 inference(unit_resolution,[status(thm)],[12527, 210, 12524])).
% 48.86/32.00 tff(12529,assumption,(v26(constB79)), introduced(assumption)).
% 48.86/32.00 tff(12530,plain,
% 48.86/32.00 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB79))),
% 48.86/32.00 inference(quant_inst,[status(thm)],[])).
% 48.86/32.00 tff(12531,plain,
% 48.86/32.00 ($false),
% 48.86/32.00 inference(unit_resolution,[status(thm)],[12530, 16, 12529])).
% 48.86/32.00 tff(12532,plain,(~v26(constB79)), inference(lemma,lemma(discharge,[]))).
% 48.86/32.00 tff(12533,plain,
% 48.86/32.00 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB79) | (~v113(constB79)) | v112(constB79))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB79) | (~v113(constB79)) | v112(constB79))),
% 48.86/32.00 inference(rewrite,[status(thm)],[])).
% 48.86/32.00 tff(12534,plain,
% 48.86/32.00 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB79) | (~v113(constB79)) | v112(constB79))),
% 48.86/32.00 inference(quant_inst,[status(thm)],[])).
% 48.86/32.00 tff(12535,plain,
% 48.86/32.00 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB79) | (~v113(constB79)) | v112(constB79)),
% 48.86/32.00 inference(modus_ponens,[status(thm)],[12534, 12533])).
% 48.86/32.00 tff(12536,plain,
% 48.86/32.00 ((~v113(constB79)) | v112(constB79)),
% 48.86/32.00 inference(unit_resolution,[status(thm)],[12535, 224, 12532])).
% 48.86/32.00 tff(12537,plain,
% 48.86/32.00 (v112(constB79)),
% 48.86/32.00 inference(unit_resolution,[status(thm)],[12536, 12528])).
% 48.86/32.00 tff(12538,plain,
% 48.86/32.00 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB79) | (~v112(constB79)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB79) | (~v112(constB79)))),
% 48.86/32.00 inference(rewrite,[status(thm)],[])).
% 48.86/32.00 tff(12539,plain,
% 48.86/32.00 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB79) | (~v112(constB79)))),
% 48.86/32.00 inference(quant_inst,[status(thm)],[])).
% 48.86/32.00 tff(12540,plain,
% 48.86/32.00 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB79) | (~v112(constB79))),
% 48.86/32.00 inference(modus_ponens,[status(thm)],[12539, 12538])).
% 48.86/32.00 tff(12541,plain,
% 48.86/32.00 (v108(constB79)),
% 48.86/32.00 inference(unit_resolution,[status(thm)],[12540, 236, 12537])).
% 48.86/32.00 tff(12542,plain,
% 48.86/32.00 (nextState(constB79, constB80) <=> nextState(constB79, constB80)),
% 48.86/32.00 inference(rewrite,[status(thm)],[])).
% 48.86/32.00 tff(12543,axiom,(nextState(constB79, constB80)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_79_1')).
% 48.86/32.00 tff(12544,plain,
% 48.86/32.00 (nextState(constB79, constB80)),
% 48.86/32.00 inference(modus_ponens,[status(thm)],[12543, 12542])).
% 48.86/32.00 tff(12545,plain,
% 48.86/32.00 (((~![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)))),
% 48.86/32.00 inference(rewrite,[status(thm)],[])).
% 48.86/32.00 tff(12546,plain,
% 48.86/32.00 (((~nextState(constB79, constB80)) | (~v108(constB79)) | v110(constB80)) <=> ((~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79)))),
% 48.86/32.00 inference(rewrite,[status(thm)],[])).
% 48.86/32.00 tff(12547,plain,
% 48.86/32.00 (((~![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))))),
% 48.86/32.00 inference(monotonicity,[status(thm)],[12546])).
% 48.86/32.00 tff(12548,plain,
% 48.86/32.00 (((~![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)))),
% 48.86/32.00 inference(transitivity,[status(thm)],[12547, 12545])).
% 48.86/32.00 tff(12549,plain,
% 48.86/32.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB79, constB80)) | (~v108(constB79)) | v110(constB80))),
% 48.86/32.00 inference(quant_inst,[status(thm)],[])).
% 48.86/32.00 tff(12550,plain,
% 48.86/32.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79))),
% 48.86/32.00 inference(modus_ponens,[status(thm)],[12549, 12548])).
% 48.86/32.00 tff(12551,plain,
% 48.86/32.00 (v110(constB80) | (~v108(constB79))),
% 48.86/32.00 inference(unit_resolution,[status(thm)],[12550, 253, 12544])).
% 48.86/32.00 tff(12552,plain,
% 48.86/32.00 (v110(constB80)),
% 48.86/32.00 inference(unit_resolution,[status(thm)],[12551, 12541])).
% 48.86/32.00 tff(12553,plain,
% 48.86/32.00 (((~![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)))),
% 48.86/32.00 inference(rewrite,[status(thm)],[])).
% 48.86/32.00 tff(12554,plain,
% 48.86/32.00 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB79) | (~nextState(constB79, constB80)) | (~v104(constB80)))),
% 48.86/32.00 inference(quant_inst,[status(thm)],[])).
% 48.86/32.00 tff(12555,plain,
% 48.86/32.00 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB79) | (~nextState(constB79, constB80)) | (~v104(constB80))),
% 48.86/32.00 inference(modus_ponens,[status(thm)],[12554, 12553])).
% 48.86/32.00 tff(12556,plain,
% 48.86/32.00 (~v104(constB80)),
% 48.86/32.00 inference(unit_resolution,[status(thm)],[12555, 271, 12544, 12415])).
% 48.86/32.00 tff(12557,plain,
% 48.86/32.00 (((~![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))),
% 48.86/32.00 inference(rewrite,[status(thm)],[])).
% 48.86/32.00 tff(12558,plain,
% 48.86/32.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB79, constB80)) | v102(constB80) | v104(constB80))),
% 48.86/32.00 inference(quant_inst,[status(thm)],[])).
% 48.86/32.00 tff(12559,plain,
% 48.86/32.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB79, constB80)) | v102(constB80) | v104(constB80)),
% 48.86/32.00 inference(modus_ponens,[status(thm)],[12558, 12557])).
% 48.86/32.00 tff(12560,plain,
% 48.86/32.00 (v102(constB80) | v104(constB80)),
% 48.86/32.00 inference(unit_resolution,[status(thm)],[12559, 285, 12544])).
% 48.86/32.00 tff(12561,plain,
% 48.86/32.00 (v102(constB80)),
% 48.86/32.00 inference(unit_resolution,[status(thm)],[12560, 12556])).
% 48.86/32.00 tff(12562,plain,
% 48.86/32.00 (v1(constB80) <=> v1(constB80)),
% 48.86/32.00 inference(rewrite,[status(thm)],[])).
% 48.86/32.00 tff(12563,axiom,(v1(constB80)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_80_1')).
% 48.86/32.00 tff(12564,plain,
% 48.86/32.00 (v1(constB80)),
% 48.86/32.00 inference(modus_ponens,[status(thm)],[12563, 12562])).
% 48.86/32.00 tff(12565,plain,
% 48.86/32.00 (((~![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)))),
% 48.86/32.00 inference(rewrite,[status(thm)],[])).
% 48.86/32.00 tff(12566,plain,
% 48.86/32.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB79, constB80)) | v101(constB80) | (~v102(constB80)) | (~v1(constB80)))),
% 48.86/32.00 inference(quant_inst,[status(thm)],[])).
% 48.86/32.00 tff(12567,plain,
% 48.86/32.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB79, constB80)) | v101(constB80) | (~v102(constB80)) | (~v1(constB80))),
% 48.86/32.00 inference(modus_ponens,[status(thm)],[12566, 12565])).
% 48.86/32.00 tff(12568,plain,
% 48.86/32.00 (v101(constB80) | (~v102(constB80))),
% 48.86/32.00 inference(unit_resolution,[status(thm)],[12567, 303, 12544, 12564])).
% 48.86/32.00 tff(12569,plain,
% 48.86/32.00 (v101(constB80)),
% 48.86/32.00 inference(unit_resolution,[status(thm)],[12568, 12561])).
% 48.86/32.00 tff(12570,plain,
% 48.86/32.00 (((~![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)))),
% 48.86/32.00 inference(rewrite,[status(thm)],[])).
% 48.86/32.00 tff(12571,plain,
% 48.86/32.00 (((~nextState(constB79, constB80)) | (~v101(constB80)) | (~v110(constB80)) | v100(constB80)) <=> ((~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80)))),
% 48.86/32.00 inference(rewrite,[status(thm)],[])).
% 48.86/32.00 tff(12572,plain,
% 48.86/32.00 (((~![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))))),
% 48.86/32.00 inference(monotonicity,[status(thm)],[12571])).
% 48.86/32.00 tff(12573,plain,
% 48.86/32.00 (((~![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)))),
% 48.86/32.00 inference(transitivity,[status(thm)],[12572, 12570])).
% 48.86/32.00 tff(12574,plain,
% 48.86/32.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | (~v101(constB80)) | (~v110(constB80)) | v100(constB80))),
% 48.86/32.00 inference(quant_inst,[status(thm)],[])).
% 48.86/32.00 tff(12575,plain,
% 48.86/32.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80))),
% 48.86/32.00 inference(modus_ponens,[status(thm)],[12574, 12573])).
% 48.86/32.00 tff(12576,plain,
% 48.86/32.00 (v100(constB80) | (~v101(constB80)) | (~v110(constB80))),
% 48.86/32.00 inference(unit_resolution,[status(thm)],[12575, 318, 12544])).
% 48.86/32.00 tff(12577,plain,
% 48.86/32.00 (v100(constB80) | (~v110(constB80))),
% 48.86/32.00 inference(unit_resolution,[status(thm)],[12576, 12569])).
% 48.86/32.00 tff(12578,plain,
% 48.86/32.00 (v100(constB80)),
% 48.86/32.00 inference(unit_resolution,[status(thm)],[12577, 12552])).
% 48.86/32.00 tff(12579,plain,
% 48.86/32.00 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB79)) | (~v130(constB79, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB79)) | (~v130(constB79, bitIndex2)))),
% 48.86/32.00 inference(rewrite,[status(thm)],[])).
% 48.86/32.00 tff(12580,plain,
% 48.86/32.00 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB79)) | (~v130(constB79, bitIndex2)))),
% 48.86/32.00 inference(quant_inst,[status(thm)],[])).
% 48.86/32.00 tff(12581,plain,
% 48.86/32.00 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB79)) | (~v130(constB79, bitIndex2))),
% 48.86/32.00 inference(modus_ponens,[status(thm)],[12580, 12579])).
% 48.86/32.00 tff(12582,plain,
% 48.86/32.00 (~v130(constB79, bitIndex2)),
% 48.86/32.00 inference(unit_resolution,[status(thm)],[12581, 1645, 12508])).
% 48.86/32.00 tff(12583,plain,
% 48.86/32.00 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB79, bitIndex2)) | v26(constB79) | v130(constB79, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB79, bitIndex2)) | v26(constB79) | v130(constB79, bitIndex2))),
% 48.86/32.00 inference(rewrite,[status(thm)],[])).
% 48.86/32.00 tff(12584,plain,
% 48.86/32.00 ((v26(constB79) | v130(constB79, bitIndex2) | (~v127(constB79, bitIndex2))) <=> ((~v127(constB79, bitIndex2)) | v26(constB79) | v130(constB79, bitIndex2))),
% 48.86/32.00 inference(rewrite,[status(thm)],[])).
% 48.86/32.00 tff(12585,plain,
% 48.86/32.00 (((~![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)))) | ((~v127(constB79, bitIndex2)) | v26(constB79) | v130(constB79, bitIndex2)))),
% 48.86/32.00 inference(monotonicity,[status(thm)],[12584])).
% 48.86/32.00 tff(12586,plain,
% 48.86/32.00 (((~![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)))) | (~v127(constB79, bitIndex2)) | v26(constB79) | v130(constB79, bitIndex2))),
% 48.86/32.00 inference(transitivity,[status(thm)],[12585, 12583])).
% 48.86/32.00 tff(12587,plain,
% 48.86/32.00 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB79) | v130(constB79, bitIndex2) | (~v127(constB79, bitIndex2)))),
% 48.86/32.00 inference(quant_inst,[status(thm)],[])).
% 48.86/32.00 tff(12588,plain,
% 48.86/32.00 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB79, bitIndex2)) | v26(constB79) | v130(constB79, bitIndex2)),
% 48.86/32.00 inference(modus_ponens,[status(thm)],[12587, 12586])).
% 48.86/32.00 tff(12589,plain,
% 48.86/32.00 ((~v127(constB79, bitIndex2)) | v130(constB79, bitIndex2)),
% 48.86/32.00 inference(unit_resolution,[status(thm)],[12588, 1210, 12532])).
% 48.86/32.00 tff(12590,plain,
% 48.86/32.00 (~v127(constB79, bitIndex2)),
% 48.86/32.00 inference(unit_resolution,[status(thm)],[12589, 12582])).
% 48.86/32.00 tff(12591,plain,
% 48.86/32.00 (((~![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)))),
% 48.86/32.00 inference(rewrite,[status(thm)],[])).
% 48.86/32.00 tff(12592,plain,
% 48.86/32.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB79, constB80)) | v127(constB79, bitIndex2) | (~v129(constB80, bitIndex2)))),
% 48.86/32.00 inference(quant_inst,[status(thm)],[])).
% 48.86/32.00 tff(12593,plain,
% 48.86/32.00 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB79, constB80)) | v127(constB79, bitIndex2) | (~v129(constB80, bitIndex2))),
% 48.86/32.00 inference(modus_ponens,[status(thm)],[12592, 12591])).
% 48.86/32.00 tff(12594,plain,
% 48.86/32.00 (v127(constB79, bitIndex2) | (~v129(constB80, bitIndex2))),
% 48.86/32.00 inference(unit_resolution,[status(thm)],[12593, 1243, 12544])).
% 48.86/32.01 tff(12595,plain,
% 48.86/32.01 (~v129(constB80, bitIndex2)),
% 48.86/32.01 inference(unit_resolution,[status(thm)],[12594, 12590])).
% 48.86/32.01 tff(12596,plain,
% 48.86/32.01 (((~![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)))),
% 48.86/32.01 inference(rewrite,[status(thm)],[])).
% 48.86/32.01 tff(12597,plain,
% 48.86/32.01 (((~v90(constB80, bitIndex2)) | (~v100(constB80)) | v129(constB80, bitIndex2)) <=> ((~v90(constB80, bitIndex2)) | v129(constB80, bitIndex2) | (~v100(constB80)))),
% 48.86/32.01 inference(rewrite,[status(thm)],[])).
% 48.86/32.01 tff(12598,plain,
% 48.86/32.01 (((~![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))))),
% 48.86/32.01 inference(monotonicity,[status(thm)],[12597])).
% 48.86/32.01 tff(12599,plain,
% 48.86/32.01 (((~![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)))),
% 48.86/32.01 inference(transitivity,[status(thm)],[12598, 12596])).
% 48.86/32.01 tff(12600,plain,
% 48.86/32.01 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB80, bitIndex2)) | (~v100(constB80)) | v129(constB80, bitIndex2))),
% 48.86/32.01 inference(quant_inst,[status(thm)],[])).
% 48.86/32.01 tff(12601,plain,
% 48.86/32.01 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB80, bitIndex2)) | v129(constB80, bitIndex2) | (~v100(constB80))),
% 48.86/32.01 inference(modus_ponens,[status(thm)],[12600, 12599])).
% 48.86/32.01 tff(12602,plain,
% 48.86/32.01 ((~v90(constB80, bitIndex2)) | (~v100(constB80))),
% 48.86/32.01 inference(unit_resolution,[status(thm)],[12601, 1258, 12595])).
% 48.86/32.01 tff(12603,plain,
% 48.86/32.01 (~v90(constB80, bitIndex2)),
% 48.86/32.01 inference(unit_resolution,[status(thm)],[12602, 12578])).
% 48.86/32.01 tff(12604,plain,
% 48.86/32.01 ((~v1(constB81)) <=> (~v1(constB81))),
% 48.86/32.01 inference(rewrite,[status(thm)],[])).
% 48.86/32.01 tff(12605,axiom,(~v1(constB81)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_81_1_1')).
% 48.86/32.01 tff(12606,plain,
% 48.86/32.01 (~v1(constB81)),
% 48.86/32.01 inference(modus_ponens,[status(thm)],[12605, 12604])).
% 48.86/32.01 tff(12607,plain,
% 48.86/32.01 (nextState(constB80, constB81) <=> nextState(constB80, constB81)),
% 48.86/32.01 inference(rewrite,[status(thm)],[])).
% 48.86/32.01 tff(12608,axiom,(nextState(constB80, constB81)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_80_1')).
% 48.86/32.01 tff(12609,plain,
% 48.86/32.01 (nextState(constB80, constB81)),
% 48.86/32.01 inference(modus_ponens,[status(thm)],[12608, 12607])).
% 48.86/32.01 tff(12610,plain,
% 48.86/32.01 (((~![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)))),
% 48.86/32.01 inference(rewrite,[status(thm)],[])).
% 48.86/32.01 tff(12611,plain,
% 48.86/32.01 (((~nextState(constB80, constB81)) | (~v101(constB81)) | v1(constB81)) <=> (v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81)))),
% 48.86/32.01 inference(rewrite,[status(thm)],[])).
% 48.86/32.01 tff(12612,plain,
% 48.86/32.01 (((~![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))))),
% 48.86/32.01 inference(monotonicity,[status(thm)],[12611])).
% 48.86/32.01 tff(12613,plain,
% 48.86/32.01 (((~![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)))),
% 48.86/32.01 inference(transitivity,[status(thm)],[12612, 12610])).
% 48.86/32.01 tff(12614,plain,
% 48.86/32.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB80, constB81)) | (~v101(constB81)) | v1(constB81))),
% 48.86/32.01 inference(quant_inst,[status(thm)],[])).
% 48.86/32.01 tff(12615,plain,
% 48.86/32.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81))),
% 48.86/32.01 inference(modus_ponens,[status(thm)],[12614, 12613])).
% 48.86/32.01 tff(12616,plain,
% 48.86/32.01 (~v101(constB81)),
% 48.86/32.01 inference(unit_resolution,[status(thm)],[12615, 49, 12609, 12606])).
% 48.86/32.01 tff(12617,plain,
% 48.86/32.01 (((~![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)))),
% 48.86/32.01 inference(rewrite,[status(thm)],[])).
% 48.86/32.01 tff(12618,plain,
% 48.86/32.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB80, constB81)) | v101(constB81) | (~v100(constB81)))),
% 48.86/32.01 inference(quant_inst,[status(thm)],[])).
% 48.86/32.01 tff(12619,plain,
% 48.86/32.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB80, constB81)) | v101(constB81) | (~v100(constB81))),
% 48.86/32.01 inference(modus_ponens,[status(thm)],[12618, 12617])).
% 48.86/32.01 tff(12620,plain,
% 48.86/32.01 (v101(constB81) | (~v100(constB81))),
% 48.86/32.01 inference(unit_resolution,[status(thm)],[12619, 66, 12609])).
% 48.86/32.01 tff(12621,plain,
% 48.86/32.01 (~v100(constB81)),
% 48.86/32.01 inference(unit_resolution,[status(thm)],[12620, 12616])).
% 48.86/32.01 tff(12622,plain,
% 48.86/32.01 (((~![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)))),
% 48.86/32.01 inference(rewrite,[status(thm)],[])).
% 48.86/32.01 tff(12623,plain,
% 48.86/32.01 (((~nextState(constB80, constB81)) | v90(constB80, bitIndex2) | v100(constB81) | (~v90(constB81, bitIndex2))) <=> (v90(constB80, bitIndex2) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, bitIndex2)))),
% 48.86/32.01 inference(rewrite,[status(thm)],[])).
% 48.86/32.01 tff(12624,plain,
% 48.86/32.01 (((~![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))))),
% 48.86/32.01 inference(monotonicity,[status(thm)],[12623])).
% 48.86/32.01 tff(12625,plain,
% 48.86/32.01 (((~![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)))),
% 48.86/32.01 inference(transitivity,[status(thm)],[12624, 12622])).
% 48.86/32.01 tff(12626,plain,
% 48.86/32.01 ((~![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)))),
% 48.86/32.01 inference(quant_inst,[status(thm)],[])).
% 48.86/32.01 tff(12627,plain,
% 48.86/32.01 ((~![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))),
% 48.86/32.01 inference(modus_ponens,[status(thm)],[12626, 12625])).
% 48.86/32.01 tff(12628,plain,
% 48.86/32.01 (v90(constB80, bitIndex2) | v100(constB81) | (~v90(constB81, bitIndex2))),
% 48.86/32.01 inference(unit_resolution,[status(thm)],[12627, 81, 12609])).
% 48.86/32.01 tff(12629,plain,
% 48.86/32.01 (v90(constB80, bitIndex2) | (~v90(constB81, bitIndex2))),
% 48.86/32.01 inference(unit_resolution,[status(thm)],[12628, 12621])).
% 48.86/32.01 tff(12630,plain,
% 48.86/32.01 (~v90(constB81, bitIndex2)),
% 48.86/32.01 inference(unit_resolution,[status(thm)],[12629, 12603])).
% 48.86/32.01 tff(12631,plain,
% 48.86/32.01 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB79)) | v130(constB79, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB79)) | v130(constB79, bitIndex1))),
% 48.86/32.01 inference(rewrite,[status(thm)],[])).
% 48.86/32.01 tff(12632,plain,
% 48.86/32.01 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB79)) | v130(constB79, bitIndex1))),
% 48.86/32.01 inference(quant_inst,[status(thm)],[])).
% 48.86/32.01 tff(12633,plain,
% 48.86/32.01 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB79)) | v130(constB79, bitIndex1)),
% 48.86/32.01 inference(modus_ponens,[status(thm)],[12632, 12631])).
% 48.86/32.01 tff(12634,plain,
% 48.86/32.01 (v130(constB79, bitIndex1)),
% 48.86/32.01 inference(unit_resolution,[status(thm)],[12633, 1707, 12508])).
% 48.86/32.01 tff(12635,plain,
% 48.86/32.01 (((~![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))) | v26(constB79) | (~v130(constB79, bitIndex1)) | v127(constB79, bitIndex1))),
% 48.86/32.01 inference(rewrite,[status(thm)],[])).
% 48.86/32.01 tff(12636,plain,
% 48.86/32.01 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB79) | (~v130(constB79, bitIndex1)) | v127(constB79, bitIndex1))),
% 48.86/32.01 inference(quant_inst,[status(thm)],[])).
% 48.86/32.01 tff(12637,plain,
% 48.86/32.01 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB79) | (~v130(constB79, bitIndex1)) | v127(constB79, bitIndex1)),
% 48.86/32.01 inference(modus_ponens,[status(thm)],[12636, 12635])).
% 48.86/32.01 tff(12638,plain,
% 48.86/32.01 ((~v130(constB79, bitIndex1)) | v127(constB79, bitIndex1)),
% 48.86/32.01 inference(unit_resolution,[status(thm)],[12637, 681, 12532])).
% 48.86/32.01 tff(12639,plain,
% 48.86/32.01 (v127(constB79, bitIndex1)),
% 48.86/32.01 inference(unit_resolution,[status(thm)],[12638, 12634])).
% 48.86/32.01 tff(12640,plain,
% 48.86/32.01 (((~![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))),
% 48.86/32.01 inference(rewrite,[status(thm)],[])).
% 48.86/32.01 tff(12641,plain,
% 48.86/32.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB79, constB80)) | (~v127(constB79, bitIndex1)) | v129(constB80, bitIndex1))),
% 48.86/32.01 inference(quant_inst,[status(thm)],[])).
% 48.86/32.01 tff(12642,plain,
% 48.86/32.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB79, constB80)) | (~v127(constB79, bitIndex1)) | v129(constB80, bitIndex1)),
% 48.86/32.01 inference(modus_ponens,[status(thm)],[12641, 12640])).
% 48.86/32.01 tff(12643,plain,
% 48.86/32.01 ((~v127(constB79, bitIndex1)) | v129(constB80, bitIndex1)),
% 48.86/32.01 inference(unit_resolution,[status(thm)],[12642, 696, 12544])).
% 48.86/32.01 tff(12644,plain,
% 48.86/32.01 (v129(constB80, bitIndex1)),
% 48.86/32.01 inference(unit_resolution,[status(thm)],[12643, 12639])).
% 48.86/32.01 tff(12645,plain,
% 48.86/32.01 (((~![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)))),
% 48.86/32.01 inference(rewrite,[status(thm)],[])).
% 48.86/32.01 tff(12646,plain,
% 48.86/32.01 ((v90(constB80, bitIndex1) | (~v100(constB80)) | (~v129(constB80, bitIndex1))) <=> (v90(constB80, bitIndex1) | (~v129(constB80, bitIndex1)) | (~v100(constB80)))),
% 48.86/32.01 inference(rewrite,[status(thm)],[])).
% 48.86/32.01 tff(12647,plain,
% 48.86/32.01 (((~![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))))),
% 48.86/32.01 inference(monotonicity,[status(thm)],[12646])).
% 48.86/32.01 tff(12648,plain,
% 48.86/32.01 (((~![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)))),
% 48.86/32.01 inference(transitivity,[status(thm)],[12647, 12645])).
% 48.86/32.01 tff(12649,plain,
% 48.86/32.01 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB80, bitIndex1) | (~v100(constB80)) | (~v129(constB80, bitIndex1)))),
% 48.86/32.01 inference(quant_inst,[status(thm)],[])).
% 48.86/32.01 tff(12650,plain,
% 48.86/32.01 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB80, bitIndex1) | (~v129(constB80, bitIndex1)) | (~v100(constB80))),
% 48.86/32.01 inference(modus_ponens,[status(thm)],[12649, 12648])).
% 48.86/32.01 tff(12651,plain,
% 48.86/32.01 (v90(constB80, bitIndex1) | (~v100(constB80))),
% 48.86/32.01 inference(unit_resolution,[status(thm)],[12650, 711, 12644])).
% 48.86/32.01 tff(12652,plain,
% 48.86/32.01 (v90(constB80, bitIndex1)),
% 48.86/32.01 inference(unit_resolution,[status(thm)],[12651, 12578])).
% 48.86/32.01 tff(12653,plain,
% 48.86/32.01 (((~![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))),
% 48.86/32.01 inference(rewrite,[status(thm)],[])).
% 48.86/32.01 tff(12654,plain,
% 48.86/32.01 (((~nextState(constB80, constB81)) | (~v90(constB80, bitIndex1)) | v100(constB81) | v90(constB81, bitIndex1)) <=> ((~v90(constB80, bitIndex1)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex1))),
% 48.86/32.01 inference(rewrite,[status(thm)],[])).
% 48.86/32.01 tff(12655,plain,
% 48.86/32.01 (((~![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)))),
% 48.86/32.01 inference(monotonicity,[status(thm)],[12654])).
% 48.86/32.01 tff(12656,plain,
% 48.86/32.01 (((~![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))),
% 48.86/32.01 inference(transitivity,[status(thm)],[12655, 12653])).
% 48.86/32.01 tff(12657,plain,
% 48.86/32.01 ((~![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))),
% 48.86/32.01 inference(quant_inst,[status(thm)],[])).
% 48.86/32.01 tff(12658,plain,
% 48.86/32.01 ((~![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)),
% 48.86/32.01 inference(modus_ponens,[status(thm)],[12657, 12656])).
% 48.86/32.01 tff(12659,plain,
% 48.86/32.01 ((~v90(constB80, bitIndex1)) | v100(constB81) | v90(constB81, bitIndex1)),
% 48.86/32.01 inference(unit_resolution,[status(thm)],[12658, 747, 12609])).
% 48.86/32.01 tff(12660,plain,
% 48.86/32.01 ((~v90(constB80, bitIndex1)) | v90(constB81, bitIndex1)),
% 48.86/32.01 inference(unit_resolution,[status(thm)],[12659, 12621])).
% 48.86/32.01 tff(12661,plain,
% 48.86/32.01 (v90(constB81, bitIndex1)),
% 48.86/32.01 inference(unit_resolution,[status(thm)],[12660, 12652])).
% 48.86/32.01 tff(12662,plain,
% 48.86/32.01 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB79)) | v130(constB79, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB79)) | v130(constB79, bitIndex0))),
% 48.86/32.01 inference(rewrite,[status(thm)],[])).
% 48.86/32.01 tff(12663,plain,
% 48.86/32.01 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB79)) | v130(constB79, bitIndex0))),
% 48.86/32.01 inference(quant_inst,[status(thm)],[])).
% 48.86/32.01 tff(12664,plain,
% 48.86/32.01 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB79)) | v130(constB79, bitIndex0)),
% 48.86/32.01 inference(modus_ponens,[status(thm)],[12663, 12662])).
% 48.86/32.01 tff(12665,plain,
% 48.86/32.01 (v130(constB79, bitIndex0)),
% 48.86/32.01 inference(unit_resolution,[status(thm)],[12664, 1748, 12508])).
% 48.86/32.01 tff(12666,plain,
% 48.86/32.01 (((~![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))) | v26(constB79) | (~v130(constB79, bitIndex0)) | v127(constB79, bitIndex0))),
% 48.86/32.01 inference(rewrite,[status(thm)],[])).
% 48.86/32.01 tff(12667,plain,
% 48.86/32.01 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB79) | (~v130(constB79, bitIndex0)) | v127(constB79, bitIndex0))),
% 48.86/32.01 inference(quant_inst,[status(thm)],[])).
% 48.86/32.01 tff(12668,plain,
% 48.86/32.01 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB79) | (~v130(constB79, bitIndex0)) | v127(constB79, bitIndex0)),
% 48.86/32.01 inference(modus_ponens,[status(thm)],[12667, 12666])).
% 48.86/32.01 tff(12669,plain,
% 48.86/32.01 ((~v130(constB79, bitIndex0)) | v127(constB79, bitIndex0)),
% 48.86/32.01 inference(unit_resolution,[status(thm)],[12668, 926, 12532])).
% 48.86/32.01 tff(12670,plain,
% 48.86/32.01 (v127(constB79, bitIndex0)),
% 48.86/32.01 inference(unit_resolution,[status(thm)],[12669, 12665])).
% 48.86/32.01 tff(12671,plain,
% 48.86/32.01 (((~![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))),
% 48.86/32.01 inference(rewrite,[status(thm)],[])).
% 48.86/32.01 tff(12672,plain,
% 48.86/32.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB79, constB80)) | (~v127(constB79, bitIndex0)) | v129(constB80, bitIndex0))),
% 48.86/32.01 inference(quant_inst,[status(thm)],[])).
% 48.86/32.01 tff(12673,plain,
% 48.86/32.01 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB79, constB80)) | (~v127(constB79, bitIndex0)) | v129(constB80, bitIndex0)),
% 48.86/32.01 inference(modus_ponens,[status(thm)],[12672, 12671])).
% 48.86/32.01 tff(12674,plain,
% 48.86/32.01 ((~v127(constB79, bitIndex0)) | v129(constB80, bitIndex0)),
% 48.86/32.01 inference(unit_resolution,[status(thm)],[12673, 944, 12544])).
% 48.86/32.01 tff(12675,plain,
% 48.86/32.01 (v129(constB80, bitIndex0)),
% 48.86/32.01 inference(unit_resolution,[status(thm)],[12674, 12670])).
% 48.86/32.01 tff(12676,plain,
% 48.86/32.01 (((~![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)))),
% 48.86/32.01 inference(rewrite,[status(thm)],[])).
% 48.86/32.01 tff(12677,plain,
% 48.86/32.01 ((v90(constB80, bitIndex0) | (~v100(constB80)) | (~v129(constB80, bitIndex0))) <=> (v90(constB80, bitIndex0) | (~v129(constB80, bitIndex0)) | (~v100(constB80)))),
% 48.86/32.01 inference(rewrite,[status(thm)],[])).
% 48.86/32.01 tff(12678,plain,
% 48.86/32.01 (((~![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))))),
% 48.86/32.01 inference(monotonicity,[status(thm)],[12677])).
% 48.86/32.01 tff(12679,plain,
% 48.86/32.01 (((~![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)))),
% 48.86/32.01 inference(transitivity,[status(thm)],[12678, 12676])).
% 48.86/32.01 tff(12680,plain,
% 48.86/32.01 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB80, bitIndex0) | (~v100(constB80)) | (~v129(constB80, bitIndex0)))),
% 48.86/32.01 inference(quant_inst,[status(thm)],[])).
% 48.86/32.01 tff(12681,plain,
% 48.86/32.01 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB80, bitIndex0) | (~v129(constB80, bitIndex0)) | (~v100(constB80))),
% 48.86/32.01 inference(modus_ponens,[status(thm)],[12680, 12679])).
% 48.86/32.01 tff(12682,plain,
% 48.86/32.01 (v90(constB80, bitIndex0) | (~v100(constB80))),
% 48.86/32.01 inference(unit_resolution,[status(thm)],[12681, 1088, 12675])).
% 48.86/32.01 tff(12683,plain,
% 48.86/32.01 (v90(constB80, bitIndex0)),
% 48.86/32.01 inference(unit_resolution,[status(thm)],[12682, 12578])).
% 48.86/32.01 tff(12684,plain,
% 48.86/32.01 (((~![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))),
% 48.86/32.01 inference(rewrite,[status(thm)],[])).
% 48.86/32.01 tff(12685,plain,
% 48.86/32.01 (((~nextState(constB80, constB81)) | (~v90(constB80, bitIndex0)) | v100(constB81) | v90(constB81, bitIndex0)) <=> ((~v90(constB80, bitIndex0)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, bitIndex0))),
% 48.86/32.01 inference(rewrite,[status(thm)],[])).
% 48.86/32.01 tff(12686,plain,
% 48.86/32.01 (((~![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)))),
% 48.86/32.01 inference(monotonicity,[status(thm)],[12685])).
% 48.86/32.01 tff(12687,plain,
% 48.86/32.01 (((~![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))),
% 48.86/32.01 inference(transitivity,[status(thm)],[12686, 12684])).
% 48.86/32.01 tff(12688,plain,
% 48.86/32.01 ((~![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))),
% 48.86/32.01 inference(quant_inst,[status(thm)],[])).
% 48.86/32.01 tff(12689,plain,
% 48.86/32.01 ((~![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)),
% 48.86/32.01 inference(modus_ponens,[status(thm)],[12688, 12687])).
% 48.86/32.01 tff(12690,plain,
% 48.86/32.01 ((~v90(constB80, bitIndex0)) | v100(constB81) | v90(constB81, bitIndex0)),
% 48.86/32.01 inference(unit_resolution,[status(thm)],[12689, 1124, 12609])).
% 48.86/32.01 tff(12691,plain,
% 48.86/32.01 ((~v90(constB80, bitIndex0)) | v90(constB81, bitIndex0)),
% 48.86/32.01 inference(unit_resolution,[status(thm)],[12690, 12621])).
% 48.86/32.01 tff(12692,plain,
% 48.86/32.01 (v90(constB81, bitIndex0)),
% 48.86/32.01 inference(unit_resolution,[status(thm)],[12691, 12683])).
% 48.86/32.01 tff(12693,plain,
% 48.86/32.01 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB81, bitIndex0)) | (~v90(constB81, bitIndex1)) | v90(constB81, bitIndex2) | v122(constB81))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB81, bitIndex0)) | (~v90(constB81, bitIndex1)) | v90(constB81, bitIndex2) | v122(constB81))),
% 48.86/32.01 inference(rewrite,[status(thm)],[])).
% 48.86/32.01 tff(12694,plain,
% 48.86/32.01 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB81, bitIndex0)) | (~v90(constB81, bitIndex1)) | v90(constB81, bitIndex2) | v122(constB81))),
% 48.86/32.01 inference(quant_inst,[status(thm)],[])).
% 48.86/32.01 tff(12695,plain,
% 48.86/32.01 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB81, bitIndex0)) | (~v90(constB81, bitIndex1)) | v90(constB81, bitIndex2) | v122(constB81)),
% 48.86/32.01 inference(modus_ponens,[status(thm)],[12694, 12693])).
% 48.86/32.01 tff(12696,plain,
% 48.86/32.01 (v122(constB81)),
% 48.86/32.01 inference(unit_resolution,[status(thm)],[12695, 1789, 12692, 12661, 12630])).
% 48.86/32.01 tff(12697,plain,
% 48.86/32.01 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB81) | (~v122(constB81)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB81) | (~v122(constB81)))),
% 48.86/32.01 inference(rewrite,[status(thm)],[])).
% 48.86/32.01 tff(12698,plain,
% 48.86/32.01 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB81) | (~v122(constB81)))),
% 48.86/32.01 inference(quant_inst,[status(thm)],[])).
% 48.86/32.01 tff(12699,plain,
% 48.86/32.01 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB81) | (~v122(constB81))),
% 48.86/32.01 inference(modus_ponens,[status(thm)],[12698, 12697])).
% 48.86/32.01 tff(12700,plain,
% 48.86/32.01 (v116(constB81)),
% 48.86/32.01 inference(unit_resolution,[status(thm)],[12699, 1800, 12696])).
% 48.86/32.01 tff(12701,plain,
% 48.86/32.01 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB81) | (~v116(constB81)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB81) | (~v116(constB81)))),
% 48.86/32.01 inference(rewrite,[status(thm)],[])).
% 48.86/32.01 tff(12702,plain,
% 48.86/32.01 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB81) | (~v116(constB81)))),
% 48.86/32.01 inference(quant_inst,[status(thm)],[])).
% 48.86/32.01 tff(12703,plain,
% 48.86/32.01 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB81) | (~v116(constB81))),
% 48.86/32.01 inference(modus_ponens,[status(thm)],[12702, 12701])).
% 48.86/32.01 tff(12704,plain,
% 48.86/32.01 (v115(constB81)),
% 48.86/32.01 inference(unit_resolution,[status(thm)],[12703, 188, 12700])).
% 48.86/32.01 tff(12705,plain,
% 48.86/32.01 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB81) | (~v115(constB81)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB81) | (~v115(constB81)))),
% 48.86/32.01 inference(rewrite,[status(thm)],[])).
% 48.86/32.01 tff(12706,plain,
% 48.86/32.01 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB81) | (~v115(constB81)))),
% 48.86/32.01 inference(quant_inst,[status(thm)],[])).
% 48.86/32.01 tff(12707,plain,
% 48.86/32.01 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB81) | (~v115(constB81))),
% 48.86/32.01 inference(modus_ponens,[status(thm)],[12706, 12705])).
% 48.86/32.01 tff(12708,plain,
% 48.86/32.01 (v114(constB81)),
% 48.86/32.01 inference(unit_resolution,[status(thm)],[12707, 199, 12704])).
% 48.86/32.01 tff(12709,plain,
% 48.86/32.01 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB81) | (~v114(constB81)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB81) | (~v114(constB81)))),
% 48.86/32.01 inference(rewrite,[status(thm)],[])).
% 48.86/32.01 tff(12710,plain,
% 48.86/32.01 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB81) | (~v114(constB81)))),
% 48.86/32.01 inference(quant_inst,[status(thm)],[])).
% 48.86/32.01 tff(12711,plain,
% 48.86/32.01 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB81) | (~v114(constB81))),
% 48.86/32.01 inference(modus_ponens,[status(thm)],[12710, 12709])).
% 48.86/32.01 tff(12712,plain,
% 48.86/32.01 (v113(constB81)),
% 48.86/32.01 inference(unit_resolution,[status(thm)],[12711, 210, 12708])).
% 48.86/32.01 tff(12713,plain,
% 48.86/32.01 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB81) | (~v113(constB81)) | v112(constB81))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB81) | (~v113(constB81)) | v112(constB81))),
% 48.86/32.01 inference(rewrite,[status(thm)],[])).
% 48.86/32.01 tff(12714,plain,
% 48.86/32.01 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB81) | (~v113(constB81)) | v112(constB81))),
% 48.86/32.01 inference(quant_inst,[status(thm)],[])).
% 48.86/32.01 tff(12715,plain,
% 48.86/32.01 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB81) | (~v113(constB81)) | v112(constB81)),
% 48.86/32.01 inference(modus_ponens,[status(thm)],[12714, 12713])).
% 48.86/32.01 tff(12716,plain,
% 48.86/32.01 (v26(constB81) | v112(constB81)),
% 48.86/32.01 inference(unit_resolution,[status(thm)],[12715, 224, 12712])).
% 48.86/32.01 tff(12717,plain,
% 48.86/32.01 (v112(constB81)),
% 48.86/32.01 inference(unit_resolution,[status(thm)],[12716, 11723])).
% 48.86/32.01 tff(12718,plain,
% 48.86/32.01 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB81) | (~v112(constB81)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB81) | (~v112(constB81)))),
% 48.86/32.01 inference(rewrite,[status(thm)],[])).
% 48.86/32.01 tff(12719,plain,
% 48.86/32.01 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB81) | (~v112(constB81)))),
% 48.86/32.01 inference(quant_inst,[status(thm)],[])).
% 48.86/32.01 tff(12720,plain,
% 48.86/32.01 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB81) | (~v112(constB81))),
% 48.86/32.01 inference(modus_ponens,[status(thm)],[12719, 12718])).
% 48.86/32.01 tff(12721,plain,
% 48.86/32.01 (v108(constB81)),
% 48.86/32.01 inference(unit_resolution,[status(thm)],[12720, 236, 12717])).
% 48.86/32.01 tff(12722,plain,
% 48.86/32.01 (nextState(constB81, constB82) <=> nextState(constB81, constB82)),
% 48.86/32.01 inference(rewrite,[status(thm)],[])).
% 48.86/32.01 tff(12723,axiom,(nextState(constB81, constB82)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_81_1')).
% 48.86/32.01 tff(12724,plain,
% 48.86/32.02 (nextState(constB81, constB82)),
% 48.86/32.02 inference(modus_ponens,[status(thm)],[12723, 12722])).
% 48.86/32.02 tff(12725,plain,
% 48.86/32.02 (((~![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)))),
% 48.86/32.02 inference(rewrite,[status(thm)],[])).
% 48.86/32.02 tff(12726,plain,
% 48.86/32.02 (((~nextState(constB81, constB82)) | (~v108(constB81)) | v110(constB82)) <=> ((~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81)))),
% 48.86/32.02 inference(rewrite,[status(thm)],[])).
% 48.86/32.02 tff(12727,plain,
% 48.86/32.02 (((~![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))))),
% 48.86/32.02 inference(monotonicity,[status(thm)],[12726])).
% 48.86/32.02 tff(12728,plain,
% 48.86/32.02 (((~![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)))),
% 48.86/32.02 inference(transitivity,[status(thm)],[12727, 12725])).
% 48.86/32.02 tff(12729,plain,
% 48.86/32.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | (~v108(constB81)) | v110(constB82))),
% 48.86/32.02 inference(quant_inst,[status(thm)],[])).
% 48.86/32.02 tff(12730,plain,
% 48.86/32.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81))),
% 48.86/32.02 inference(modus_ponens,[status(thm)],[12729, 12728])).
% 48.86/32.02 tff(12731,plain,
% 48.86/32.02 (v110(constB82) | (~v108(constB81))),
% 48.86/32.02 inference(unit_resolution,[status(thm)],[12730, 253, 12724])).
% 48.86/32.02 tff(12732,plain,
% 48.86/32.02 (v110(constB82)),
% 48.86/32.02 inference(unit_resolution,[status(thm)],[12731, 12721])).
% 48.86/32.02 tff(12733,plain,
% 48.86/32.02 (((~![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)))),
% 48.86/32.02 inference(rewrite,[status(thm)],[])).
% 48.86/32.02 tff(12734,plain,
% 48.86/32.02 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB81) | (~nextState(constB81, constB82)) | (~v104(constB82)))),
% 48.86/32.02 inference(quant_inst,[status(thm)],[])).
% 48.86/32.02 tff(12735,plain,
% 48.86/32.02 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB81) | (~nextState(constB81, constB82)) | (~v104(constB82))),
% 48.86/32.02 inference(modus_ponens,[status(thm)],[12734, 12733])).
% 48.86/32.02 tff(12736,plain,
% 48.86/32.02 (~v104(constB82)),
% 48.86/32.02 inference(unit_resolution,[status(thm)],[12735, 271, 12724, 12606])).
% 48.86/32.02 tff(12737,plain,
% 48.86/32.02 (((~![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))),
% 48.86/32.02 inference(rewrite,[status(thm)],[])).
% 48.86/32.02 tff(12738,plain,
% 48.86/32.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB81, constB82)) | v102(constB82) | v104(constB82))),
% 48.86/32.02 inference(quant_inst,[status(thm)],[])).
% 48.86/32.02 tff(12739,plain,
% 48.86/32.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB81, constB82)) | v102(constB82) | v104(constB82)),
% 48.86/32.02 inference(modus_ponens,[status(thm)],[12738, 12737])).
% 48.86/32.02 tff(12740,plain,
% 48.86/32.02 (v102(constB82) | v104(constB82)),
% 48.86/32.02 inference(unit_resolution,[status(thm)],[12739, 285, 12724])).
% 48.86/32.02 tff(12741,plain,
% 48.86/32.02 (v102(constB82)),
% 48.86/32.02 inference(unit_resolution,[status(thm)],[12740, 12736])).
% 48.86/32.02 tff(12742,plain,
% 48.86/32.02 (v1(constB82) <=> v1(constB82)),
% 48.86/32.02 inference(rewrite,[status(thm)],[])).
% 48.86/32.02 tff(12743,axiom,(v1(constB82)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_82_1')).
% 48.86/32.02 tff(12744,plain,
% 48.86/32.02 (v1(constB82)),
% 48.86/32.02 inference(modus_ponens,[status(thm)],[12743, 12742])).
% 48.86/32.02 tff(12745,plain,
% 48.86/32.02 (((~![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)))),
% 48.86/32.02 inference(rewrite,[status(thm)],[])).
% 48.86/32.02 tff(12746,plain,
% 48.86/32.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB81, constB82)) | v101(constB82) | (~v102(constB82)) | (~v1(constB82)))),
% 48.86/32.02 inference(quant_inst,[status(thm)],[])).
% 48.86/32.02 tff(12747,plain,
% 48.86/32.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB81, constB82)) | v101(constB82) | (~v102(constB82)) | (~v1(constB82))),
% 48.86/32.02 inference(modus_ponens,[status(thm)],[12746, 12745])).
% 48.86/32.02 tff(12748,plain,
% 48.86/32.02 (v101(constB82) | (~v102(constB82))),
% 48.86/32.02 inference(unit_resolution,[status(thm)],[12747, 303, 12724, 12744])).
% 48.86/32.02 tff(12749,plain,
% 48.86/32.02 (v101(constB82)),
% 48.86/32.02 inference(unit_resolution,[status(thm)],[12748, 12741])).
% 48.86/32.02 tff(12750,plain,
% 48.86/32.02 (((~![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)))),
% 48.86/32.02 inference(rewrite,[status(thm)],[])).
% 48.86/32.02 tff(12751,plain,
% 48.86/32.02 (((~nextState(constB81, constB82)) | (~v101(constB82)) | (~v110(constB82)) | v100(constB82)) <=> ((~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82)))),
% 48.86/32.02 inference(rewrite,[status(thm)],[])).
% 48.86/32.02 tff(12752,plain,
% 48.86/32.02 (((~![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))))),
% 48.86/32.02 inference(monotonicity,[status(thm)],[12751])).
% 48.86/32.02 tff(12753,plain,
% 48.86/32.02 (((~![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)))),
% 48.86/32.02 inference(transitivity,[status(thm)],[12752, 12750])).
% 48.86/32.02 tff(12754,plain,
% 48.86/32.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | (~v101(constB82)) | (~v110(constB82)) | v100(constB82))),
% 48.86/32.02 inference(quant_inst,[status(thm)],[])).
% 48.86/32.02 tff(12755,plain,
% 48.86/32.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82))),
% 48.86/32.02 inference(modus_ponens,[status(thm)],[12754, 12753])).
% 48.86/32.02 tff(12756,plain,
% 48.86/32.02 (v100(constB82) | (~v101(constB82)) | (~v110(constB82))),
% 48.86/32.02 inference(unit_resolution,[status(thm)],[12755, 318, 12724])).
% 48.86/32.02 tff(12757,plain,
% 48.86/32.02 (v100(constB82) | (~v110(constB82))),
% 48.86/32.02 inference(unit_resolution,[status(thm)],[12756, 12749])).
% 48.86/32.02 tff(12758,plain,
% 48.86/32.02 (v100(constB82)),
% 48.86/32.02 inference(unit_resolution,[status(thm)],[12757, 12732])).
% 48.86/32.02 tff(12759,plain,
% 48.86/32.02 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB81)) | v130(constB81, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB81)) | v130(constB81, bitIndex2))),
% 48.86/32.02 inference(rewrite,[status(thm)],[])).
% 48.86/32.02 tff(12760,plain,
% 48.86/32.02 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB81)) | v130(constB81, bitIndex2))),
% 48.86/32.02 inference(quant_inst,[status(thm)],[])).
% 48.86/32.02 tff(12761,plain,
% 48.86/32.02 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB81)) | v130(constB81, bitIndex2)),
% 48.86/32.02 inference(modus_ponens,[status(thm)],[12760, 12759])).
% 48.86/32.02 tff(12762,plain,
% 48.86/32.02 (v130(constB81, bitIndex2)),
% 48.86/32.02 inference(unit_resolution,[status(thm)],[12761, 1876, 12696])).
% 48.86/32.02 tff(12763,plain,
% 48.86/32.02 (((~![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))),
% 48.86/32.02 inference(rewrite,[status(thm)],[])).
% 48.86/32.02 tff(12764,plain,
% 48.86/32.02 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB81) | (~v130(constB81, bitIndex2)) | v127(constB81, bitIndex2))),
% 48.86/32.02 inference(quant_inst,[status(thm)],[])).
% 48.86/32.02 tff(12765,plain,
% 48.86/32.02 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB81) | (~v130(constB81, bitIndex2)) | v127(constB81, bitIndex2)),
% 48.86/32.02 inference(modus_ponens,[status(thm)],[12764, 12763])).
% 48.86/32.02 tff(12766,plain,
% 48.86/32.02 (v26(constB81) | v127(constB81, bitIndex2)),
% 48.86/32.02 inference(unit_resolution,[status(thm)],[12765, 351, 12762])).
% 48.86/32.02 tff(12767,plain,
% 48.86/32.02 (v127(constB81, bitIndex2)),
% 48.86/32.02 inference(unit_resolution,[status(thm)],[12766, 11723])).
% 48.86/32.02 tff(12768,plain,
% 48.86/32.02 (((~![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))),
% 48.86/32.02 inference(rewrite,[status(thm)],[])).
% 48.97/32.02 tff(12769,plain,
% 48.97/32.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB81, constB82)) | (~v127(constB81, bitIndex2)) | v129(constB82, bitIndex2))),
% 48.97/32.02 inference(quant_inst,[status(thm)],[])).
% 48.97/32.02 tff(12770,plain,
% 48.97/32.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB81, constB82)) | (~v127(constB81, bitIndex2)) | v129(constB82, bitIndex2)),
% 48.97/32.02 inference(modus_ponens,[status(thm)],[12769, 12768])).
% 48.97/32.02 tff(12771,plain,
% 48.97/32.02 ((~v127(constB81, bitIndex2)) | v129(constB82, bitIndex2)),
% 48.97/32.02 inference(unit_resolution,[status(thm)],[12770, 366, 12724])).
% 48.97/32.02 tff(12772,plain,
% 48.97/32.02 (v129(constB82, bitIndex2)),
% 48.97/32.02 inference(unit_resolution,[status(thm)],[12771, 12767])).
% 48.97/32.02 tff(12773,plain,
% 48.97/32.02 (((~![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)))),
% 48.97/32.02 inference(rewrite,[status(thm)],[])).
% 48.97/32.02 tff(12774,plain,
% 48.97/32.02 ((v90(constB82, bitIndex2) | (~v100(constB82)) | (~v129(constB82, bitIndex2))) <=> (v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2)) | (~v100(constB82)))),
% 48.97/32.02 inference(rewrite,[status(thm)],[])).
% 48.97/32.02 tff(12775,plain,
% 48.97/32.02 (((~![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))))),
% 48.97/32.02 inference(monotonicity,[status(thm)],[12774])).
% 48.97/32.02 tff(12776,plain,
% 48.97/32.02 (((~![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)))),
% 48.97/32.02 inference(transitivity,[status(thm)],[12775, 12773])).
% 48.97/32.02 tff(12777,plain,
% 48.97/32.02 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB82, bitIndex2) | (~v100(constB82)) | (~v129(constB82, bitIndex2)))),
% 48.97/32.02 inference(quant_inst,[status(thm)],[])).
% 48.97/32.02 tff(12778,plain,
% 48.97/32.02 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB82, bitIndex2) | (~v129(constB82, bitIndex2)) | (~v100(constB82))),
% 48.97/32.02 inference(modus_ponens,[status(thm)],[12777, 12776])).
% 48.97/32.02 tff(12779,plain,
% 48.97/32.02 (v90(constB82, bitIndex2) | (~v100(constB82))),
% 48.97/32.02 inference(unit_resolution,[status(thm)],[12778, 381, 12772])).
% 48.97/32.02 tff(12780,plain,
% 48.97/32.02 (v90(constB82, bitIndex2)),
% 48.97/32.02 inference(unit_resolution,[status(thm)],[12779, 12758])).
% 48.97/32.02 tff(12781,plain,
% 48.97/32.02 ((~v1(constB83)) <=> (~v1(constB83))),
% 48.97/32.02 inference(rewrite,[status(thm)],[])).
% 48.97/32.02 tff(12782,axiom,(~v1(constB83)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_83_1_1')).
% 48.97/32.02 tff(12783,plain,
% 48.97/32.02 (~v1(constB83)),
% 48.97/32.02 inference(modus_ponens,[status(thm)],[12782, 12781])).
% 48.97/32.02 tff(12784,plain,
% 48.97/32.02 (nextState(constB82, constB83) <=> nextState(constB82, constB83)),
% 48.97/32.02 inference(rewrite,[status(thm)],[])).
% 48.97/32.02 tff(12785,axiom,(nextState(constB82, constB83)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_82_1')).
% 48.97/32.02 tff(12786,plain,
% 48.97/32.02 (nextState(constB82, constB83)),
% 48.97/32.02 inference(modus_ponens,[status(thm)],[12785, 12784])).
% 48.97/32.02 tff(12787,plain,
% 48.97/32.02 (((~![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)))),
% 48.97/32.02 inference(rewrite,[status(thm)],[])).
% 48.97/32.02 tff(12788,plain,
% 48.97/32.02 (((~nextState(constB82, constB83)) | (~v101(constB83)) | v1(constB83)) <=> (v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83)))),
% 48.97/32.02 inference(rewrite,[status(thm)],[])).
% 48.97/32.02 tff(12789,plain,
% 48.97/32.02 (((~![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))))),
% 48.97/32.02 inference(monotonicity,[status(thm)],[12788])).
% 48.97/32.02 tff(12790,plain,
% 48.97/32.02 (((~![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)))),
% 48.97/32.02 inference(transitivity,[status(thm)],[12789, 12787])).
% 48.97/32.02 tff(12791,plain,
% 48.97/32.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB82, constB83)) | (~v101(constB83)) | v1(constB83))),
% 48.97/32.02 inference(quant_inst,[status(thm)],[])).
% 48.97/32.02 tff(12792,plain,
% 48.97/32.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83))),
% 48.97/32.02 inference(modus_ponens,[status(thm)],[12791, 12790])).
% 48.97/32.02 tff(12793,plain,
% 48.97/32.02 (~v101(constB83)),
% 48.97/32.02 inference(unit_resolution,[status(thm)],[12792, 49, 12786, 12783])).
% 48.97/32.02 tff(12794,plain,
% 48.97/32.02 (((~![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)))),
% 48.97/32.02 inference(rewrite,[status(thm)],[])).
% 48.97/32.02 tff(12795,plain,
% 48.97/32.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB82, constB83)) | v101(constB83) | (~v100(constB83)))),
% 48.97/32.02 inference(quant_inst,[status(thm)],[])).
% 48.97/32.02 tff(12796,plain,
% 48.97/32.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB82, constB83)) | v101(constB83) | (~v100(constB83))),
% 48.97/32.02 inference(modus_ponens,[status(thm)],[12795, 12794])).
% 48.97/32.02 tff(12797,plain,
% 48.97/32.02 (v101(constB83) | (~v100(constB83))),
% 48.97/32.02 inference(unit_resolution,[status(thm)],[12796, 66, 12786])).
% 48.97/32.02 tff(12798,plain,
% 48.97/32.02 (~v100(constB83)),
% 48.97/32.02 inference(unit_resolution,[status(thm)],[12797, 12793])).
% 48.97/32.02 tff(12799,plain,
% 48.97/32.02 (((~![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))),
% 48.97/32.02 inference(rewrite,[status(thm)],[])).
% 48.97/32.02 tff(12800,plain,
% 48.97/32.02 (((~nextState(constB82, constB83)) | (~v90(constB82, bitIndex2)) | v100(constB83) | v90(constB83, bitIndex2)) <=> ((~v90(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, bitIndex2))),
% 48.97/32.02 inference(rewrite,[status(thm)],[])).
% 48.97/32.02 tff(12801,plain,
% 48.97/32.02 (((~![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)))),
% 48.97/32.02 inference(monotonicity,[status(thm)],[12800])).
% 48.97/32.02 tff(12802,plain,
% 48.97/32.02 (((~![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))),
% 48.97/32.02 inference(transitivity,[status(thm)],[12801, 12799])).
% 48.97/32.02 tff(12803,plain,
% 48.97/32.02 ((~![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))),
% 48.97/32.02 inference(quant_inst,[status(thm)],[])).
% 48.97/32.02 tff(12804,plain,
% 48.97/32.02 ((~![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)),
% 48.97/32.02 inference(modus_ponens,[status(thm)],[12803, 12802])).
% 48.97/32.02 tff(12805,plain,
% 48.97/32.02 ((~v90(constB82, bitIndex2)) | v100(constB83) | v90(constB83, bitIndex2)),
% 48.97/32.02 inference(unit_resolution,[status(thm)],[12804, 417, 12786])).
% 48.97/32.02 tff(12806,plain,
% 48.97/32.02 ((~v90(constB82, bitIndex2)) | v90(constB83, bitIndex2)),
% 48.97/32.02 inference(unit_resolution,[status(thm)],[12805, 12798])).
% 48.97/32.02 tff(12807,plain,
% 48.97/32.02 (v90(constB83, bitIndex2)),
% 48.97/32.02 inference(unit_resolution,[status(thm)],[12806, 12780])).
% 48.97/32.02 tff(12808,plain,
% 48.97/32.02 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB81)) | (~v130(constB81, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB81)) | (~v130(constB81, bitIndex1)))),
% 48.97/32.02 inference(rewrite,[status(thm)],[])).
% 48.97/32.02 tff(12809,plain,
% 48.97/32.02 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB81)) | (~v130(constB81, bitIndex1)))),
% 48.97/32.02 inference(quant_inst,[status(thm)],[])).
% 48.97/32.02 tff(12810,plain,
% 48.97/32.02 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB81)) | (~v130(constB81, bitIndex1))),
% 48.97/32.02 inference(modus_ponens,[status(thm)],[12809, 12808])).
% 48.97/32.02 tff(12811,plain,
% 48.97/32.02 (~v130(constB81, bitIndex1)),
% 48.97/32.02 inference(unit_resolution,[status(thm)],[12810, 1935, 12696])).
% 48.97/32.02 tff(12812,plain,
% 48.97/32.02 (((~![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))),
% 48.97/32.02 inference(rewrite,[status(thm)],[])).
% 48.97/32.02 tff(12813,plain,
% 48.97/32.02 ((v26(constB81) | v130(constB81, bitIndex1) | (~v127(constB81, bitIndex1))) <=> ((~v127(constB81, bitIndex1)) | v26(constB81) | v130(constB81, bitIndex1))),
% 48.97/32.02 inference(rewrite,[status(thm)],[])).
% 48.97/32.02 tff(12814,plain,
% 48.97/32.02 (((~![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)))),
% 48.97/32.02 inference(monotonicity,[status(thm)],[12813])).
% 48.97/32.02 tff(12815,plain,
% 48.97/32.02 (((~![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))),
% 48.97/32.02 inference(transitivity,[status(thm)],[12814, 12812])).
% 48.97/32.02 tff(12816,plain,
% 48.97/32.02 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB81) | v130(constB81, bitIndex1) | (~v127(constB81, bitIndex1)))),
% 48.97/32.02 inference(quant_inst,[status(thm)],[])).
% 48.97/32.02 tff(12817,plain,
% 48.97/32.02 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB81, bitIndex1)) | v26(constB81) | v130(constB81, bitIndex1)),
% 48.97/32.02 inference(modus_ponens,[status(thm)],[12816, 12815])).
% 48.97/32.02 tff(12818,plain,
% 48.97/32.02 ((~v127(constB81, bitIndex1)) | v26(constB81)),
% 48.97/32.02 inference(unit_resolution,[status(thm)],[12817, 450, 12811])).
% 48.97/32.02 tff(12819,plain,
% 48.97/32.02 (~v127(constB81, bitIndex1)),
% 48.97/32.02 inference(unit_resolution,[status(thm)],[12818, 11723])).
% 48.97/32.02 tff(12820,plain,
% 48.97/32.02 (((~![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)))),
% 48.97/32.02 inference(rewrite,[status(thm)],[])).
% 48.97/32.02 tff(12821,plain,
% 48.97/32.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB81, constB82)) | v127(constB81, bitIndex1) | (~v129(constB82, bitIndex1)))),
% 48.97/32.02 inference(quant_inst,[status(thm)],[])).
% 48.97/32.02 tff(12822,plain,
% 48.97/32.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB81, constB82)) | v127(constB81, bitIndex1) | (~v129(constB82, bitIndex1))),
% 48.97/32.02 inference(modus_ponens,[status(thm)],[12821, 12820])).
% 48.97/32.02 tff(12823,plain,
% 48.97/32.02 (v127(constB81, bitIndex1) | (~v129(constB82, bitIndex1))),
% 48.97/32.02 inference(unit_resolution,[status(thm)],[12822, 468, 12724])).
% 48.97/32.02 tff(12824,plain,
% 48.97/32.02 (~v129(constB82, bitIndex1)),
% 48.97/32.02 inference(unit_resolution,[status(thm)],[12823, 12819])).
% 48.97/32.02 tff(12825,plain,
% 48.97/32.02 (((~![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)))),
% 48.97/32.02 inference(rewrite,[status(thm)],[])).
% 48.97/32.02 tff(12826,plain,
% 48.97/32.02 (((~v90(constB82, bitIndex1)) | (~v100(constB82)) | v129(constB82, bitIndex1)) <=> ((~v90(constB82, bitIndex1)) | v129(constB82, bitIndex1) | (~v100(constB82)))),
% 48.97/32.02 inference(rewrite,[status(thm)],[])).
% 48.97/32.02 tff(12827,plain,
% 48.97/32.02 (((~![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))))),
% 48.97/32.02 inference(monotonicity,[status(thm)],[12826])).
% 48.97/32.02 tff(12828,plain,
% 48.97/32.02 (((~![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)))),
% 48.97/32.02 inference(transitivity,[status(thm)],[12827, 12825])).
% 48.97/32.02 tff(12829,plain,
% 48.97/32.02 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB82, bitIndex1)) | (~v100(constB82)) | v129(constB82, bitIndex1))),
% 48.97/32.02 inference(quant_inst,[status(thm)],[])).
% 48.97/32.02 tff(12830,plain,
% 48.97/32.02 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB82, bitIndex1)) | v129(constB82, bitIndex1) | (~v100(constB82))),
% 48.97/32.02 inference(modus_ponens,[status(thm)],[12829, 12828])).
% 48.97/32.02 tff(12831,plain,
% 48.97/32.02 ((~v90(constB82, bitIndex1)) | (~v100(constB82))),
% 48.97/32.02 inference(unit_resolution,[status(thm)],[12830, 483, 12824])).
% 48.97/32.02 tff(12832,plain,
% 48.97/32.02 (~v90(constB82, bitIndex1)),
% 48.97/32.02 inference(unit_resolution,[status(thm)],[12831, 12758])).
% 48.97/32.02 tff(12833,plain,
% 48.97/32.02 (((~![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)))),
% 48.97/32.02 inference(rewrite,[status(thm)],[])).
% 48.97/32.02 tff(12834,plain,
% 48.97/32.02 (((~nextState(constB82, constB83)) | v90(constB82, bitIndex1) | v100(constB83) | (~v90(constB83, bitIndex1))) <=> (v90(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex1)))),
% 48.97/32.02 inference(rewrite,[status(thm)],[])).
% 48.97/32.02 tff(12835,plain,
% 48.97/32.02 (((~![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))))),
% 48.97/32.02 inference(monotonicity,[status(thm)],[12834])).
% 48.97/32.02 tff(12836,plain,
% 48.97/32.02 (((~![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)))),
% 48.97/32.02 inference(transitivity,[status(thm)],[12835, 12833])).
% 48.97/32.02 tff(12837,plain,
% 48.97/32.02 ((~![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)))),
% 48.97/32.02 inference(quant_inst,[status(thm)],[])).
% 48.97/32.02 tff(12838,plain,
% 48.97/32.02 ((~![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))),
% 48.97/32.02 inference(modus_ponens,[status(thm)],[12837, 12836])).
% 48.97/32.02 tff(12839,plain,
% 48.97/32.02 (v90(constB82, bitIndex1) | v100(constB83) | (~v90(constB83, bitIndex1))),
% 48.97/32.02 inference(unit_resolution,[status(thm)],[12838, 102, 12786])).
% 48.97/32.02 tff(12840,plain,
% 48.97/32.02 (v90(constB82, bitIndex1) | (~v90(constB83, bitIndex1))),
% 48.97/32.02 inference(unit_resolution,[status(thm)],[12839, 12798])).
% 48.97/32.02 tff(12841,plain,
% 48.97/32.02 (~v90(constB83, bitIndex1)),
% 48.97/32.02 inference(unit_resolution,[status(thm)],[12840, 12832])).
% 48.97/32.02 tff(12842,plain,
% 48.97/32.02 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB81)) | (~v130(constB81, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB81)) | (~v130(constB81, bitIndex0)))),
% 48.97/32.02 inference(rewrite,[status(thm)],[])).
% 48.97/32.02 tff(12843,plain,
% 48.97/32.02 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB81)) | (~v130(constB81, bitIndex0)))),
% 48.97/32.02 inference(quant_inst,[status(thm)],[])).
% 48.97/32.02 tff(12844,plain,
% 48.97/32.02 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB81)) | (~v130(constB81, bitIndex0))),
% 48.97/32.02 inference(modus_ponens,[status(thm)],[12843, 12842])).
% 48.97/32.02 tff(12845,plain,
% 48.97/32.02 (~v130(constB81, bitIndex0)),
% 48.97/32.02 inference(unit_resolution,[status(thm)],[12844, 1997, 12696])).
% 48.97/32.02 tff(12846,plain,
% 48.97/32.02 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB81, bitIndex0)) | v26(constB81) | v130(constB81, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB81, bitIndex0)) | v26(constB81) | v130(constB81, bitIndex0))),
% 48.97/32.02 inference(rewrite,[status(thm)],[])).
% 48.97/32.02 tff(12847,plain,
% 48.97/32.02 ((v26(constB81) | v130(constB81, bitIndex0) | (~v127(constB81, bitIndex0))) <=> ((~v127(constB81, bitIndex0)) | v26(constB81) | v130(constB81, bitIndex0))),
% 48.97/32.02 inference(rewrite,[status(thm)],[])).
% 48.97/32.02 tff(12848,plain,
% 48.97/32.02 (((~![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)))) | ((~v127(constB81, bitIndex0)) | v26(constB81) | v130(constB81, bitIndex0)))),
% 48.97/32.03 inference(monotonicity,[status(thm)],[12847])).
% 48.97/32.03 tff(12849,plain,
% 48.97/32.03 (((~![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)))) | (~v127(constB81, bitIndex0)) | v26(constB81) | v130(constB81, bitIndex0))),
% 48.97/32.03 inference(transitivity,[status(thm)],[12848, 12846])).
% 48.97/32.03 tff(12850,plain,
% 48.97/32.03 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB81) | v130(constB81, bitIndex0) | (~v127(constB81, bitIndex0)))),
% 48.97/32.03 inference(quant_inst,[status(thm)],[])).
% 48.97/32.03 tff(12851,plain,
% 48.97/32.03 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB81, bitIndex0)) | v26(constB81) | v130(constB81, bitIndex0)),
% 48.97/32.03 inference(modus_ponens,[status(thm)],[12850, 12849])).
% 48.97/32.03 tff(12852,plain,
% 48.97/32.03 ((~v127(constB81, bitIndex0)) | v26(constB81)),
% 48.97/32.03 inference(unit_resolution,[status(thm)],[12851, 524, 12845])).
% 48.97/32.03 tff(12853,plain,
% 48.97/32.03 (~v127(constB81, bitIndex0)),
% 48.97/32.03 inference(unit_resolution,[status(thm)],[12852, 11723])).
% 48.97/32.03 tff(12854,plain,
% 48.97/32.03 (((~![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)))),
% 48.97/32.03 inference(rewrite,[status(thm)],[])).
% 48.97/32.03 tff(12855,plain,
% 48.97/32.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB81, constB82)) | v127(constB81, bitIndex0) | (~v129(constB82, bitIndex0)))),
% 48.97/32.03 inference(quant_inst,[status(thm)],[])).
% 48.97/32.03 tff(12856,plain,
% 48.97/32.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB81, constB82)) | v127(constB81, bitIndex0) | (~v129(constB82, bitIndex0))),
% 48.97/32.03 inference(modus_ponens,[status(thm)],[12855, 12854])).
% 48.97/32.03 tff(12857,plain,
% 48.97/32.03 (v127(constB81, bitIndex0) | (~v129(constB82, bitIndex0))),
% 48.97/32.03 inference(unit_resolution,[status(thm)],[12856, 542, 12724])).
% 48.97/32.03 tff(12858,plain,
% 48.97/32.03 (~v129(constB82, bitIndex0)),
% 48.97/32.03 inference(unit_resolution,[status(thm)],[12857, 12853])).
% 48.97/32.03 tff(12859,plain,
% 48.97/32.03 (((~![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)))),
% 48.97/32.03 inference(rewrite,[status(thm)],[])).
% 48.97/32.03 tff(12860,plain,
% 48.97/32.03 (((~v90(constB82, bitIndex0)) | (~v100(constB82)) | v129(constB82, bitIndex0)) <=> ((~v90(constB82, bitIndex0)) | v129(constB82, bitIndex0) | (~v100(constB82)))),
% 48.97/32.03 inference(rewrite,[status(thm)],[])).
% 48.97/32.03 tff(12861,plain,
% 48.97/32.03 (((~![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))))),
% 48.97/32.03 inference(monotonicity,[status(thm)],[12860])).
% 48.97/32.03 tff(12862,plain,
% 48.97/32.03 (((~![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)))),
% 48.97/32.03 inference(transitivity,[status(thm)],[12861, 12859])).
% 48.97/32.03 tff(12863,plain,
% 48.97/32.03 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB82, bitIndex0)) | (~v100(constB82)) | v129(constB82, bitIndex0))),
% 48.97/32.03 inference(quant_inst,[status(thm)],[])).
% 48.97/32.03 tff(12864,plain,
% 48.97/32.03 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB82, bitIndex0)) | v129(constB82, bitIndex0) | (~v100(constB82))),
% 48.97/32.03 inference(modus_ponens,[status(thm)],[12863, 12862])).
% 48.97/32.03 tff(12865,plain,
% 48.97/32.03 ((~v90(constB82, bitIndex0)) | (~v100(constB82))),
% 48.97/32.03 inference(unit_resolution,[status(thm)],[12864, 557, 12858])).
% 48.97/32.03 tff(12866,plain,
% 48.97/32.03 (~v90(constB82, bitIndex0)),
% 48.97/32.03 inference(unit_resolution,[status(thm)],[12865, 12758])).
% 48.97/32.03 tff(12867,plain,
% 48.97/32.03 (((~![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)))),
% 48.97/32.03 inference(rewrite,[status(thm)],[])).
% 48.97/32.03 tff(12868,plain,
% 48.97/32.03 (((~nextState(constB82, constB83)) | v90(constB82, bitIndex0) | v100(constB83) | (~v90(constB83, bitIndex0))) <=> (v90(constB82, bitIndex0) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, bitIndex0)))),
% 48.97/32.03 inference(rewrite,[status(thm)],[])).
% 48.97/32.03 tff(12869,plain,
% 48.97/32.03 (((~![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))))),
% 48.97/32.03 inference(monotonicity,[status(thm)],[12868])).
% 48.97/32.03 tff(12870,plain,
% 48.97/32.03 (((~![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)))),
% 48.97/32.03 inference(transitivity,[status(thm)],[12869, 12867])).
% 48.97/32.03 tff(12871,plain,
% 48.97/32.03 ((~![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)))),
% 48.97/32.03 inference(quant_inst,[status(thm)],[])).
% 48.97/32.03 tff(12872,plain,
% 48.97/32.03 ((~![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))),
% 48.97/32.03 inference(modus_ponens,[status(thm)],[12871, 12870])).
% 48.97/32.03 tff(12873,plain,
% 48.97/32.03 (v90(constB82, bitIndex0) | v100(constB83) | (~v90(constB83, bitIndex0))),
% 48.97/32.03 inference(unit_resolution,[status(thm)],[12872, 123, 12786])).
% 48.97/32.03 tff(12874,plain,
% 48.97/32.03 (v90(constB82, bitIndex0) | (~v90(constB83, bitIndex0))),
% 48.97/32.03 inference(unit_resolution,[status(thm)],[12873, 12798])).
% 48.97/32.03 tff(12875,plain,
% 48.97/32.03 (~v90(constB83, bitIndex0)),
% 48.97/32.03 inference(unit_resolution,[status(thm)],[12874, 12866])).
% 48.97/32.03 tff(12876,plain,
% 48.97/32.03 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB83, bitIndex0) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)) | v123(constB83))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB83, bitIndex0) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)) | v123(constB83))),
% 48.97/32.03 inference(rewrite,[status(thm)],[])).
% 48.97/32.03 tff(12877,plain,
% 48.97/32.03 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB83, bitIndex0) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)) | v123(constB83))),
% 48.97/32.03 inference(quant_inst,[status(thm)],[])).
% 48.97/32.03 tff(12878,plain,
% 48.97/32.03 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB83, bitIndex0) | v90(constB83, bitIndex1) | (~v90(constB83, bitIndex2)) | v123(constB83)),
% 48.97/32.03 inference(modus_ponens,[status(thm)],[12877, 12876])).
% 48.97/32.03 tff(12879,plain,
% 48.97/32.03 (v123(constB83)),
% 48.97/32.03 inference(unit_resolution,[status(thm)],[12878, 584, 12875, 12841, 12807])).
% 48.97/32.03 tff(12880,plain,
% 48.97/32.03 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB83) | (~v123(constB83)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB83) | (~v123(constB83)))),
% 48.97/32.03 inference(rewrite,[status(thm)],[])).
% 48.97/32.03 tff(12881,plain,
% 48.97/32.03 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB83) | (~v123(constB83)))),
% 48.97/32.03 inference(quant_inst,[status(thm)],[])).
% 48.97/32.03 tff(12882,plain,
% 48.97/32.03 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB83) | (~v123(constB83))),
% 48.97/32.03 inference(modus_ponens,[status(thm)],[12881, 12880])).
% 48.97/32.03 tff(12883,plain,
% 48.97/32.03 (v115(constB83)),
% 48.97/32.03 inference(unit_resolution,[status(thm)],[12882, 595, 12879])).
% 48.97/32.03 tff(12884,plain,
% 48.97/32.03 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB83) | (~v115(constB83)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB83) | (~v115(constB83)))),
% 48.97/32.03 inference(rewrite,[status(thm)],[])).
% 48.97/32.03 tff(12885,plain,
% 48.97/32.03 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB83) | (~v115(constB83)))),
% 48.97/32.03 inference(quant_inst,[status(thm)],[])).
% 48.97/32.03 tff(12886,plain,
% 48.97/32.03 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB83) | (~v115(constB83))),
% 48.97/32.03 inference(modus_ponens,[status(thm)],[12885, 12884])).
% 48.97/32.03 tff(12887,plain,
% 48.97/32.03 (v114(constB83)),
% 48.97/32.03 inference(unit_resolution,[status(thm)],[12886, 199, 12883])).
% 48.97/32.03 tff(12888,plain,
% 48.97/32.03 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB83) | (~v114(constB83)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB83) | (~v114(constB83)))),
% 48.97/32.03 inference(rewrite,[status(thm)],[])).
% 48.97/32.03 tff(12889,plain,
% 48.97/32.03 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB83) | (~v114(constB83)))),
% 48.97/32.03 inference(quant_inst,[status(thm)],[])).
% 48.97/32.03 tff(12890,plain,
% 48.97/32.03 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB83) | (~v114(constB83))),
% 48.97/32.03 inference(modus_ponens,[status(thm)],[12889, 12888])).
% 48.97/32.03 tff(12891,plain,
% 48.97/32.03 (v113(constB83)),
% 48.97/32.03 inference(unit_resolution,[status(thm)],[12890, 210, 12887])).
% 48.97/32.03 tff(12892,plain,
% 48.97/32.03 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB83) | v112(constB83) | (~v113(constB83)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB83) | v112(constB83) | (~v113(constB83)))),
% 48.97/32.03 inference(rewrite,[status(thm)],[])).
% 48.97/32.03 tff(12893,plain,
% 48.97/32.03 ((v26(constB83) | (~v113(constB83)) | v112(constB83)) <=> (v26(constB83) | v112(constB83) | (~v113(constB83)))),
% 48.97/32.03 inference(rewrite,[status(thm)],[])).
% 48.97/32.03 tff(12894,plain,
% 48.97/32.03 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB83) | (~v113(constB83)) | v112(constB83))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB83) | v112(constB83) | (~v113(constB83))))),
% 48.97/32.03 inference(monotonicity,[status(thm)],[12893])).
% 48.97/32.03 tff(12895,plain,
% 48.97/32.03 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB83) | (~v113(constB83)) | v112(constB83))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB83) | v112(constB83) | (~v113(constB83)))),
% 48.97/32.03 inference(transitivity,[status(thm)],[12894, 12892])).
% 48.97/32.03 tff(12896,plain,
% 48.97/32.03 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB83) | (~v113(constB83)) | v112(constB83))),
% 48.97/32.03 inference(quant_inst,[status(thm)],[])).
% 48.97/32.03 tff(12897,plain,
% 48.97/32.03 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB83) | v112(constB83) | (~v113(constB83))),
% 48.97/32.03 inference(modus_ponens,[status(thm)],[12896, 12895])).
% 48.97/32.03 tff(12898,plain,
% 48.97/32.03 (v26(constB83) | v112(constB83)),
% 48.97/32.03 inference(unit_resolution,[status(thm)],[12897, 224, 12891])).
% 48.97/32.03 tff(12899,plain,
% 48.97/32.03 (v112(constB83)),
% 48.97/32.03 inference(unit_resolution,[status(thm)],[12898, 11719])).
% 48.97/32.03 tff(12900,plain,
% 48.97/32.03 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB83) | (~v112(constB83)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB83) | (~v112(constB83)))),
% 48.97/32.03 inference(rewrite,[status(thm)],[])).
% 48.97/32.03 tff(12901,plain,
% 48.97/32.03 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB83) | (~v112(constB83)))),
% 48.97/32.03 inference(quant_inst,[status(thm)],[])).
% 48.97/32.03 tff(12902,plain,
% 48.97/32.03 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB83) | (~v112(constB83))),
% 48.97/32.03 inference(modus_ponens,[status(thm)],[12901, 12900])).
% 48.97/32.03 tff(12903,plain,
% 48.97/32.03 (v108(constB83)),
% 48.97/32.03 inference(unit_resolution,[status(thm)],[12902, 236, 12899])).
% 48.97/32.03 tff(12904,plain,
% 48.97/32.03 (nextState(constB83, constB84) <=> nextState(constB83, constB84)),
% 48.97/32.03 inference(rewrite,[status(thm)],[])).
% 48.97/32.03 tff(12905,axiom,(nextState(constB83, constB84)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_83_1')).
% 48.97/32.03 tff(12906,plain,
% 48.97/32.03 (nextState(constB83, constB84)),
% 48.97/32.03 inference(modus_ponens,[status(thm)],[12905, 12904])).
% 48.97/32.03 tff(12907,plain,
% 48.97/32.03 (((~![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)))),
% 48.97/32.03 inference(rewrite,[status(thm)],[])).
% 48.97/32.03 tff(12908,plain,
% 48.97/32.03 (((~nextState(constB83, constB84)) | (~v108(constB83)) | v110(constB84)) <=> ((~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83)))),
% 48.97/32.03 inference(rewrite,[status(thm)],[])).
% 48.97/32.03 tff(12909,plain,
% 48.97/32.03 (((~![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))))),
% 48.97/32.03 inference(monotonicity,[status(thm)],[12908])).
% 48.97/32.03 tff(12910,plain,
% 48.97/32.03 (((~![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)))),
% 48.97/32.03 inference(transitivity,[status(thm)],[12909, 12907])).
% 48.97/32.03 tff(12911,plain,
% 48.97/32.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB83, constB84)) | (~v108(constB83)) | v110(constB84))),
% 48.97/32.03 inference(quant_inst,[status(thm)],[])).
% 48.97/32.03 tff(12912,plain,
% 48.97/32.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83))),
% 48.97/32.03 inference(modus_ponens,[status(thm)],[12911, 12910])).
% 48.97/32.03 tff(12913,plain,
% 48.97/32.03 (v110(constB84) | (~v108(constB83))),
% 48.97/32.03 inference(unit_resolution,[status(thm)],[12912, 253, 12906])).
% 48.97/32.03 tff(12914,plain,
% 48.97/32.03 (v110(constB84)),
% 48.97/32.03 inference(unit_resolution,[status(thm)],[12913, 12903])).
% 48.97/32.03 tff(12915,plain,
% 48.97/32.03 (((~![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)))),
% 48.97/32.03 inference(rewrite,[status(thm)],[])).
% 48.97/32.03 tff(12916,plain,
% 48.97/32.03 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB83) | (~nextState(constB83, constB84)) | (~v104(constB84)))),
% 48.97/32.03 inference(quant_inst,[status(thm)],[])).
% 48.97/32.03 tff(12917,plain,
% 48.97/32.03 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB83) | (~nextState(constB83, constB84)) | (~v104(constB84))),
% 48.97/32.03 inference(modus_ponens,[status(thm)],[12916, 12915])).
% 48.97/32.03 tff(12918,plain,
% 48.97/32.03 (~v104(constB84)),
% 48.97/32.03 inference(unit_resolution,[status(thm)],[12917, 271, 12906, 12783])).
% 48.97/32.03 tff(12919,plain,
% 48.97/32.03 (((~![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))),
% 48.97/32.03 inference(rewrite,[status(thm)],[])).
% 48.97/32.03 tff(12920,plain,
% 48.97/32.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB83, constB84)) | v102(constB84) | v104(constB84))),
% 48.97/32.03 inference(quant_inst,[status(thm)],[])).
% 48.97/32.03 tff(12921,plain,
% 48.97/32.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB83, constB84)) | v102(constB84) | v104(constB84)),
% 48.97/32.03 inference(modus_ponens,[status(thm)],[12920, 12919])).
% 48.97/32.03 tff(12922,plain,
% 48.97/32.03 (v102(constB84) | v104(constB84)),
% 48.97/32.03 inference(unit_resolution,[status(thm)],[12921, 285, 12906])).
% 48.97/32.03 tff(12923,plain,
% 48.97/32.03 (v102(constB84)),
% 48.97/32.03 inference(unit_resolution,[status(thm)],[12922, 12918])).
% 48.97/32.03 tff(12924,plain,
% 48.97/32.03 (v1(constB84) <=> v1(constB84)),
% 48.97/32.03 inference(rewrite,[status(thm)],[])).
% 48.97/32.03 tff(12925,axiom,(v1(constB84)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_84_1')).
% 48.97/32.03 tff(12926,plain,
% 48.97/32.03 (v1(constB84)),
% 48.97/32.03 inference(modus_ponens,[status(thm)],[12925, 12924])).
% 48.97/32.03 tff(12927,plain,
% 48.97/32.03 (((~![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)))),
% 48.97/32.03 inference(rewrite,[status(thm)],[])).
% 48.97/32.03 tff(12928,plain,
% 48.97/32.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB83, constB84)) | v101(constB84) | (~v102(constB84)) | (~v1(constB84)))),
% 48.97/32.03 inference(quant_inst,[status(thm)],[])).
% 48.97/32.03 tff(12929,plain,
% 48.97/32.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB83, constB84)) | v101(constB84) | (~v102(constB84)) | (~v1(constB84))),
% 48.97/32.03 inference(modus_ponens,[status(thm)],[12928, 12927])).
% 48.97/32.03 tff(12930,plain,
% 48.97/32.03 (v101(constB84) | (~v102(constB84))),
% 48.97/32.03 inference(unit_resolution,[status(thm)],[12929, 303, 12906, 12926])).
% 48.97/32.03 tff(12931,plain,
% 48.97/32.03 (v101(constB84)),
% 48.97/32.03 inference(unit_resolution,[status(thm)],[12930, 12923])).
% 48.97/32.03 tff(12932,plain,
% 48.97/32.03 (((~![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)))),
% 48.97/32.03 inference(rewrite,[status(thm)],[])).
% 48.97/32.03 tff(12933,plain,
% 48.97/32.03 (((~nextState(constB83, constB84)) | (~v101(constB84)) | (~v110(constB84)) | v100(constB84)) <=> ((~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84)))),
% 48.97/32.03 inference(rewrite,[status(thm)],[])).
% 48.97/32.03 tff(12934,plain,
% 48.97/32.03 (((~![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))))),
% 48.97/32.03 inference(monotonicity,[status(thm)],[12933])).
% 48.97/32.03 tff(12935,plain,
% 48.97/32.03 (((~![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)))),
% 48.97/32.03 inference(transitivity,[status(thm)],[12934, 12932])).
% 48.97/32.03 tff(12936,plain,
% 48.97/32.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB83, constB84)) | (~v101(constB84)) | (~v110(constB84)) | v100(constB84))),
% 48.97/32.03 inference(quant_inst,[status(thm)],[])).
% 48.97/32.03 tff(12937,plain,
% 48.97/32.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84))),
% 48.97/32.03 inference(modus_ponens,[status(thm)],[12936, 12935])).
% 48.97/32.03 tff(12938,plain,
% 48.97/32.03 (v100(constB84) | (~v101(constB84)) | (~v110(constB84))),
% 48.97/32.03 inference(unit_resolution,[status(thm)],[12937, 318, 12906])).
% 48.97/32.03 tff(12939,plain,
% 48.97/32.03 (v100(constB84) | (~v110(constB84))),
% 48.97/32.03 inference(unit_resolution,[status(thm)],[12938, 12931])).
% 48.97/32.03 tff(12940,plain,
% 48.97/32.03 (v100(constB84)),
% 48.97/32.03 inference(unit_resolution,[status(thm)],[12939, 12914])).
% 48.97/32.03 tff(12941,plain,
% 48.97/32.03 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB83)) | v130(constB83, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB83)) | v130(constB83, bitIndex2))),
% 48.97/32.03 inference(rewrite,[status(thm)],[])).
% 48.97/32.03 tff(12942,plain,
% 48.97/32.03 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB83)) | v130(constB83, bitIndex2))),
% 48.97/32.03 inference(quant_inst,[status(thm)],[])).
% 48.97/32.03 tff(12943,plain,
% 48.97/32.03 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB83)) | v130(constB83, bitIndex2)),
% 48.97/32.03 inference(modus_ponens,[status(thm)],[12942, 12941])).
% 48.97/32.03 tff(12944,plain,
% 48.97/32.03 (v130(constB83, bitIndex2)),
% 48.97/32.03 inference(unit_resolution,[status(thm)],[12943, 836, 12879])).
% 48.97/32.03 tff(12945,plain,
% 48.97/32.03 (((~![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))),
% 48.97/32.03 inference(rewrite,[status(thm)],[])).
% 48.97/32.03 tff(12946,plain,
% 48.97/32.03 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB83) | (~v130(constB83, bitIndex2)) | v127(constB83, bitIndex2))),
% 48.97/32.03 inference(quant_inst,[status(thm)],[])).
% 48.97/32.03 tff(12947,plain,
% 48.97/32.03 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB83) | (~v130(constB83, bitIndex2)) | v127(constB83, bitIndex2)),
% 48.97/32.03 inference(modus_ponens,[status(thm)],[12946, 12945])).
% 48.97/32.03 tff(12948,plain,
% 48.97/32.03 (v26(constB83) | v127(constB83, bitIndex2)),
% 48.97/32.03 inference(unit_resolution,[status(thm)],[12947, 351, 12944])).
% 48.97/32.03 tff(12949,plain,
% 48.97/32.03 (v127(constB83, bitIndex2)),
% 48.97/32.03 inference(unit_resolution,[status(thm)],[12948, 11719])).
% 48.97/32.03 tff(12950,plain,
% 48.97/32.03 (((~![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))),
% 48.97/32.03 inference(rewrite,[status(thm)],[])).
% 48.97/32.03 tff(12951,plain,
% 48.97/32.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB83, constB84)) | (~v127(constB83, bitIndex2)) | v129(constB84, bitIndex2))),
% 48.97/32.03 inference(quant_inst,[status(thm)],[])).
% 48.97/32.03 tff(12952,plain,
% 48.97/32.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB83, constB84)) | (~v127(constB83, bitIndex2)) | v129(constB84, bitIndex2)),
% 48.97/32.03 inference(modus_ponens,[status(thm)],[12951, 12950])).
% 48.97/32.03 tff(12953,plain,
% 48.97/32.03 ((~v127(constB83, bitIndex2)) | v129(constB84, bitIndex2)),
% 48.97/32.03 inference(unit_resolution,[status(thm)],[12952, 366, 12906])).
% 48.97/32.03 tff(12954,plain,
% 48.97/32.03 (v129(constB84, bitIndex2)),
% 48.97/32.03 inference(unit_resolution,[status(thm)],[12953, 12949])).
% 48.97/32.03 tff(12955,plain,
% 48.97/32.03 (((~![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)))),
% 48.97/32.03 inference(rewrite,[status(thm)],[])).
% 48.97/32.03 tff(12956,plain,
% 48.97/32.03 ((v90(constB84, bitIndex2) | (~v100(constB84)) | (~v129(constB84, bitIndex2))) <=> (v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2)) | (~v100(constB84)))),
% 48.97/32.03 inference(rewrite,[status(thm)],[])).
% 48.97/32.03 tff(12957,plain,
% 48.97/32.03 (((~![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))))),
% 48.97/32.03 inference(monotonicity,[status(thm)],[12956])).
% 48.97/32.03 tff(12958,plain,
% 48.97/32.03 (((~![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)))),
% 48.97/32.03 inference(transitivity,[status(thm)],[12957, 12955])).
% 48.97/32.03 tff(12959,plain,
% 48.97/32.03 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB84, bitIndex2) | (~v100(constB84)) | (~v129(constB84, bitIndex2)))),
% 48.97/32.03 inference(quant_inst,[status(thm)],[])).
% 48.97/32.03 tff(12960,plain,
% 48.97/32.03 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB84, bitIndex2) | (~v129(constB84, bitIndex2)) | (~v100(constB84))),
% 48.97/32.03 inference(modus_ponens,[status(thm)],[12959, 12958])).
% 48.97/32.03 tff(12961,plain,
% 48.97/32.03 (v90(constB84, bitIndex2) | (~v100(constB84))),
% 48.97/32.03 inference(unit_resolution,[status(thm)],[12960, 381, 12954])).
% 48.97/32.03 tff(12962,plain,
% 48.97/32.03 (v90(constB84, bitIndex2)),
% 48.97/32.03 inference(unit_resolution,[status(thm)],[12961, 12940])).
% 48.97/32.03 tff(12963,plain,
% 48.97/32.03 ((~v1(constB85)) <=> (~v1(constB85))),
% 48.97/32.03 inference(rewrite,[status(thm)],[])).
% 48.97/32.03 tff(12964,axiom,(~v1(constB85)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_85_1_1')).
% 48.97/32.03 tff(12965,plain,
% 48.97/32.03 (~v1(constB85)),
% 48.97/32.03 inference(modus_ponens,[status(thm)],[12964, 12963])).
% 48.97/32.03 tff(12966,plain,
% 48.97/32.03 (nextState(constB84, constB85) <=> nextState(constB84, constB85)),
% 48.97/32.03 inference(rewrite,[status(thm)],[])).
% 48.97/32.03 tff(12967,axiom,(nextState(constB84, constB85)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_84_1')).
% 48.97/32.03 tff(12968,plain,
% 48.97/32.03 (nextState(constB84, constB85)),
% 48.97/32.03 inference(modus_ponens,[status(thm)],[12967, 12966])).
% 48.97/32.03 tff(12969,plain,
% 48.97/32.03 (((~![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)))),
% 48.97/32.03 inference(rewrite,[status(thm)],[])).
% 48.97/32.03 tff(12970,plain,
% 48.97/32.03 (((~nextState(constB84, constB85)) | (~v101(constB85)) | v1(constB85)) <=> (v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85)))),
% 48.97/32.03 inference(rewrite,[status(thm)],[])).
% 48.97/32.03 tff(12971,plain,
% 48.97/32.03 (((~![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))))),
% 48.97/32.03 inference(monotonicity,[status(thm)],[12970])).
% 48.97/32.03 tff(12972,plain,
% 48.97/32.03 (((~![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)))),
% 48.97/32.03 inference(transitivity,[status(thm)],[12971, 12969])).
% 48.97/32.03 tff(12973,plain,
% 48.97/32.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB84, constB85)) | (~v101(constB85)) | v1(constB85))),
% 48.97/32.03 inference(quant_inst,[status(thm)],[])).
% 48.97/32.03 tff(12974,plain,
% 48.97/32.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85))),
% 48.97/32.03 inference(modus_ponens,[status(thm)],[12973, 12972])).
% 48.97/32.03 tff(12975,plain,
% 48.97/32.03 (~v101(constB85)),
% 48.97/32.03 inference(unit_resolution,[status(thm)],[12974, 49, 12968, 12965])).
% 48.97/32.03 tff(12976,plain,
% 48.97/32.03 (((~![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)))),
% 48.97/32.03 inference(rewrite,[status(thm)],[])).
% 48.97/32.03 tff(12977,plain,
% 48.97/32.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB84, constB85)) | v101(constB85) | (~v100(constB85)))),
% 48.97/32.03 inference(quant_inst,[status(thm)],[])).
% 48.97/32.03 tff(12978,plain,
% 48.97/32.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB84, constB85)) | v101(constB85) | (~v100(constB85))),
% 48.97/32.03 inference(modus_ponens,[status(thm)],[12977, 12976])).
% 48.97/32.03 tff(12979,plain,
% 48.97/32.03 (v101(constB85) | (~v100(constB85))),
% 48.97/32.03 inference(unit_resolution,[status(thm)],[12978, 66, 12968])).
% 48.97/32.03 tff(12980,plain,
% 48.97/32.03 (~v100(constB85)),
% 48.97/32.03 inference(unit_resolution,[status(thm)],[12979, 12975])).
% 48.97/32.03 tff(12981,plain,
% 48.97/32.03 (((~![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))),
% 48.97/32.04 inference(rewrite,[status(thm)],[])).
% 48.97/32.04 tff(12982,plain,
% 48.97/32.04 (((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex2)) | v100(constB85) | v90(constB85, bitIndex2)) <=> ((~v90(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex2))),
% 48.97/32.04 inference(rewrite,[status(thm)],[])).
% 48.97/32.04 tff(12983,plain,
% 48.97/32.04 (((~![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)))),
% 48.97/32.04 inference(monotonicity,[status(thm)],[12982])).
% 48.97/32.04 tff(12984,plain,
% 48.97/32.04 (((~![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))),
% 48.97/32.04 inference(transitivity,[status(thm)],[12983, 12981])).
% 48.97/32.04 tff(12985,plain,
% 48.97/32.04 ((~![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))),
% 48.97/32.04 inference(quant_inst,[status(thm)],[])).
% 48.97/32.04 tff(12986,plain,
% 48.97/32.04 ((~![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)),
% 48.97/32.04 inference(modus_ponens,[status(thm)],[12985, 12984])).
% 48.97/32.04 tff(12987,plain,
% 48.97/32.04 ((~v90(constB84, bitIndex2)) | v100(constB85) | v90(constB85, bitIndex2)),
% 48.97/32.04 inference(unit_resolution,[status(thm)],[12986, 417, 12968])).
% 48.97/32.04 tff(12988,plain,
% 48.97/32.04 ((~v90(constB84, bitIndex2)) | v90(constB85, bitIndex2)),
% 48.97/32.04 inference(unit_resolution,[status(thm)],[12987, 12980])).
% 48.97/32.04 tff(12989,plain,
% 48.97/32.04 (v90(constB85, bitIndex2)),
% 48.97/32.04 inference(unit_resolution,[status(thm)],[12988, 12962])).
% 48.97/32.04 tff(12990,plain,
% 48.97/32.04 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB83)) | v130(constB83, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB83)) | v130(constB83, bitIndex1))),
% 48.97/32.04 inference(rewrite,[status(thm)],[])).
% 48.97/32.04 tff(12991,plain,
% 48.97/32.04 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB83)) | v130(constB83, bitIndex1))),
% 48.97/32.04 inference(quant_inst,[status(thm)],[])).
% 48.97/32.04 tff(12992,plain,
% 48.97/32.04 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB83)) | v130(constB83, bitIndex1)),
% 48.97/32.04 inference(modus_ponens,[status(thm)],[12991, 12990])).
% 48.97/32.04 tff(12993,plain,
% 48.97/32.04 (v130(constB83, bitIndex1)),
% 48.97/32.04 inference(unit_resolution,[status(thm)],[12992, 667, 12879])).
% 48.97/32.04 tff(12994,plain,
% 48.97/32.04 (((~![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))),
% 48.97/32.04 inference(rewrite,[status(thm)],[])).
% 48.97/32.04 tff(12995,plain,
% 48.97/32.04 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB83) | (~v130(constB83, bitIndex1)) | v127(constB83, bitIndex1))),
% 48.97/32.04 inference(quant_inst,[status(thm)],[])).
% 48.97/32.04 tff(12996,plain,
% 48.97/32.04 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB83) | (~v130(constB83, bitIndex1)) | v127(constB83, bitIndex1)),
% 48.97/32.04 inference(modus_ponens,[status(thm)],[12995, 12994])).
% 48.97/32.04 tff(12997,plain,
% 48.97/32.04 (v26(constB83) | v127(constB83, bitIndex1)),
% 48.97/32.04 inference(unit_resolution,[status(thm)],[12996, 681, 12993])).
% 48.97/32.04 tff(12998,plain,
% 48.97/32.04 (v127(constB83, bitIndex1)),
% 48.97/32.04 inference(unit_resolution,[status(thm)],[12997, 11719])).
% 48.97/32.04 tff(12999,plain,
% 48.97/32.04 (((~![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))),
% 48.97/32.04 inference(rewrite,[status(thm)],[])).
% 48.97/32.04 tff(13000,plain,
% 48.97/32.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB83, constB84)) | (~v127(constB83, bitIndex1)) | v129(constB84, bitIndex1))),
% 48.97/32.04 inference(quant_inst,[status(thm)],[])).
% 48.97/32.04 tff(13001,plain,
% 48.97/32.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB83, constB84)) | (~v127(constB83, bitIndex1)) | v129(constB84, bitIndex1)),
% 48.97/32.04 inference(modus_ponens,[status(thm)],[13000, 12999])).
% 48.97/32.04 tff(13002,plain,
% 48.97/32.04 ((~v127(constB83, bitIndex1)) | v129(constB84, bitIndex1)),
% 48.97/32.04 inference(unit_resolution,[status(thm)],[13001, 696, 12906])).
% 48.97/32.04 tff(13003,plain,
% 48.97/32.04 (v129(constB84, bitIndex1)),
% 48.97/32.04 inference(unit_resolution,[status(thm)],[13002, 12998])).
% 48.97/32.04 tff(13004,plain,
% 48.97/32.04 (((~![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)))),
% 48.97/32.04 inference(rewrite,[status(thm)],[])).
% 48.97/32.04 tff(13005,plain,
% 48.97/32.04 ((v90(constB84, bitIndex1) | (~v100(constB84)) | (~v129(constB84, bitIndex1))) <=> (v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1)) | (~v100(constB84)))),
% 48.97/32.04 inference(rewrite,[status(thm)],[])).
% 48.97/32.04 tff(13006,plain,
% 48.97/32.04 (((~![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))))),
% 48.97/32.04 inference(monotonicity,[status(thm)],[13005])).
% 48.97/32.04 tff(13007,plain,
% 48.97/32.04 (((~![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)))),
% 48.97/32.04 inference(transitivity,[status(thm)],[13006, 13004])).
% 48.97/32.04 tff(13008,plain,
% 48.97/32.04 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB84, bitIndex1) | (~v100(constB84)) | (~v129(constB84, bitIndex1)))),
% 48.97/32.04 inference(quant_inst,[status(thm)],[])).
% 48.97/32.04 tff(13009,plain,
% 48.97/32.04 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB84, bitIndex1) | (~v129(constB84, bitIndex1)) | (~v100(constB84))),
% 48.97/32.04 inference(modus_ponens,[status(thm)],[13008, 13007])).
% 48.97/32.04 tff(13010,plain,
% 48.97/32.04 (v90(constB84, bitIndex1) | (~v100(constB84))),
% 48.97/32.04 inference(unit_resolution,[status(thm)],[13009, 711, 13003])).
% 48.97/32.04 tff(13011,plain,
% 48.97/32.04 (v90(constB84, bitIndex1)),
% 48.97/32.04 inference(unit_resolution,[status(thm)],[13010, 12940])).
% 48.97/32.04 tff(13012,plain,
% 48.97/32.04 (((~![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))),
% 48.97/32.04 inference(rewrite,[status(thm)],[])).
% 48.97/32.04 tff(13013,plain,
% 48.97/32.04 (((~nextState(constB84, constB85)) | (~v90(constB84, bitIndex1)) | v100(constB85) | v90(constB85, bitIndex1)) <=> ((~v90(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, bitIndex1))),
% 48.97/32.04 inference(rewrite,[status(thm)],[])).
% 48.97/32.04 tff(13014,plain,
% 48.97/32.04 (((~![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)))),
% 48.97/32.04 inference(monotonicity,[status(thm)],[13013])).
% 48.97/32.04 tff(13015,plain,
% 48.97/32.04 (((~![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))),
% 48.97/32.04 inference(transitivity,[status(thm)],[13014, 13012])).
% 48.97/32.04 tff(13016,plain,
% 48.97/32.04 ((~![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))),
% 48.97/32.04 inference(quant_inst,[status(thm)],[])).
% 48.97/32.04 tff(13017,plain,
% 48.97/32.04 ((~![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)),
% 48.97/32.04 inference(modus_ponens,[status(thm)],[13016, 13015])).
% 48.97/32.04 tff(13018,plain,
% 48.97/32.04 ((~v90(constB84, bitIndex1)) | v100(constB85) | v90(constB85, bitIndex1)),
% 48.97/32.04 inference(unit_resolution,[status(thm)],[13017, 747, 12968])).
% 48.97/32.04 tff(13019,plain,
% 48.97/32.04 ((~v90(constB84, bitIndex1)) | v90(constB85, bitIndex1)),
% 48.97/32.04 inference(unit_resolution,[status(thm)],[13018, 12980])).
% 48.97/32.04 tff(13020,plain,
% 48.97/32.04 (v90(constB85, bitIndex1)),
% 48.97/32.04 inference(unit_resolution,[status(thm)],[13019, 13011])).
% 48.97/32.04 tff(13021,plain,
% 48.97/32.04 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB83)) | (~v130(constB83, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB83)) | (~v130(constB83, bitIndex0)))),
% 48.97/32.04 inference(rewrite,[status(thm)],[])).
% 48.97/32.04 tff(13022,plain,
% 48.97/32.04 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB83)) | (~v130(constB83, bitIndex0)))),
% 48.97/32.04 inference(quant_inst,[status(thm)],[])).
% 48.97/32.04 tff(13023,plain,
% 48.97/32.04 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB83)) | (~v130(constB83, bitIndex0))),
% 48.97/32.04 inference(modus_ponens,[status(thm)],[13022, 13021])).
% 48.97/32.04 tff(13024,plain,
% 48.97/32.04 (~v130(constB83, bitIndex0)),
% 48.97/32.04 inference(unit_resolution,[status(thm)],[13023, 975, 12879])).
% 48.97/32.04 tff(13025,plain,
% 48.97/32.04 (((~![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))),
% 48.97/32.04 inference(rewrite,[status(thm)],[])).
% 48.97/32.04 tff(13026,plain,
% 48.97/32.04 ((v26(constB83) | v130(constB83, bitIndex0) | (~v127(constB83, bitIndex0))) <=> ((~v127(constB83, bitIndex0)) | v26(constB83) | v130(constB83, bitIndex0))),
% 48.97/32.04 inference(rewrite,[status(thm)],[])).
% 48.97/32.04 tff(13027,plain,
% 48.97/32.04 (((~![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)))),
% 48.97/32.04 inference(monotonicity,[status(thm)],[13026])).
% 48.97/32.04 tff(13028,plain,
% 48.97/32.04 (((~![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))),
% 48.97/32.04 inference(transitivity,[status(thm)],[13027, 13025])).
% 48.97/32.04 tff(13029,plain,
% 48.97/32.04 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB83) | v130(constB83, bitIndex0) | (~v127(constB83, bitIndex0)))),
% 48.97/32.04 inference(quant_inst,[status(thm)],[])).
% 48.97/32.04 tff(13030,plain,
% 48.97/32.04 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB83, bitIndex0)) | v26(constB83) | v130(constB83, bitIndex0)),
% 48.97/32.04 inference(modus_ponens,[status(thm)],[13029, 13028])).
% 48.97/32.04 tff(13031,plain,
% 48.97/32.04 ((~v127(constB83, bitIndex0)) | v26(constB83)),
% 48.97/32.04 inference(unit_resolution,[status(thm)],[13030, 524, 13024])).
% 48.97/32.04 tff(13032,plain,
% 48.97/32.04 (~v127(constB83, bitIndex0)),
% 48.97/32.04 inference(unit_resolution,[status(thm)],[13031, 11719])).
% 48.97/32.04 tff(13033,plain,
% 48.97/32.04 (((~![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)))),
% 48.97/32.04 inference(rewrite,[status(thm)],[])).
% 48.97/32.04 tff(13034,plain,
% 48.97/32.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB83, constB84)) | v127(constB83, bitIndex0) | (~v129(constB84, bitIndex0)))),
% 48.97/32.04 inference(quant_inst,[status(thm)],[])).
% 48.97/32.04 tff(13035,plain,
% 48.97/32.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB83, constB84)) | v127(constB83, bitIndex0) | (~v129(constB84, bitIndex0))),
% 48.97/32.04 inference(modus_ponens,[status(thm)],[13034, 13033])).
% 48.97/32.04 tff(13036,plain,
% 48.97/32.04 (v127(constB83, bitIndex0) | (~v129(constB84, bitIndex0))),
% 48.97/32.04 inference(unit_resolution,[status(thm)],[13035, 542, 12906])).
% 48.97/32.04 tff(13037,plain,
% 48.97/32.04 (~v129(constB84, bitIndex0)),
% 48.97/32.04 inference(unit_resolution,[status(thm)],[13036, 13032])).
% 48.97/32.04 tff(13038,plain,
% 48.97/32.04 (((~![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)))),
% 48.97/32.04 inference(rewrite,[status(thm)],[])).
% 48.97/32.04 tff(13039,plain,
% 48.97/32.04 (((~v90(constB84, bitIndex0)) | (~v100(constB84)) | v129(constB84, bitIndex0)) <=> ((~v90(constB84, bitIndex0)) | v129(constB84, bitIndex0) | (~v100(constB84)))),
% 48.97/32.04 inference(rewrite,[status(thm)],[])).
% 48.97/32.04 tff(13040,plain,
% 48.97/32.04 (((~![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))))),
% 48.97/32.04 inference(monotonicity,[status(thm)],[13039])).
% 48.97/32.04 tff(13041,plain,
% 48.97/32.04 (((~![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)))),
% 48.97/32.04 inference(transitivity,[status(thm)],[13040, 13038])).
% 48.97/32.04 tff(13042,plain,
% 48.97/32.04 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB84, bitIndex0)) | (~v100(constB84)) | v129(constB84, bitIndex0))),
% 48.97/32.04 inference(quant_inst,[status(thm)],[])).
% 48.97/32.04 tff(13043,plain,
% 48.97/32.04 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB84, bitIndex0)) | v129(constB84, bitIndex0) | (~v100(constB84))),
% 48.97/32.04 inference(modus_ponens,[status(thm)],[13042, 13041])).
% 48.97/32.04 tff(13044,plain,
% 48.97/32.04 ((~v90(constB84, bitIndex0)) | (~v100(constB84))),
% 48.97/32.04 inference(unit_resolution,[status(thm)],[13043, 557, 13037])).
% 48.97/32.04 tff(13045,plain,
% 48.97/32.04 (~v90(constB84, bitIndex0)),
% 48.97/32.04 inference(unit_resolution,[status(thm)],[13044, 12940])).
% 48.97/32.04 tff(13046,plain,
% 48.97/32.04 (((~![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)))),
% 48.97/32.04 inference(rewrite,[status(thm)],[])).
% 48.97/32.04 tff(13047,plain,
% 48.97/32.04 (((~nextState(constB84, constB85)) | v90(constB84, bitIndex0) | v100(constB85) | (~v90(constB85, bitIndex0))) <=> (v90(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, bitIndex0)))),
% 48.97/32.04 inference(rewrite,[status(thm)],[])).
% 48.97/32.04 tff(13048,plain,
% 48.97/32.04 (((~![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))))),
% 48.97/32.04 inference(monotonicity,[status(thm)],[13047])).
% 48.97/32.04 tff(13049,plain,
% 48.97/32.04 (((~![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)))),
% 48.97/32.04 inference(transitivity,[status(thm)],[13048, 13046])).
% 48.97/32.04 tff(13050,plain,
% 48.97/32.04 ((~![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)))),
% 48.97/32.04 inference(quant_inst,[status(thm)],[])).
% 48.97/32.04 tff(13051,plain,
% 48.97/32.04 ((~![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))),
% 48.97/32.04 inference(modus_ponens,[status(thm)],[13050, 13049])).
% 48.97/32.04 tff(13052,plain,
% 48.97/32.04 (v90(constB84, bitIndex0) | v100(constB85) | (~v90(constB85, bitIndex0))),
% 48.97/32.04 inference(unit_resolution,[status(thm)],[13051, 123, 12968])).
% 48.97/32.04 tff(13053,plain,
% 48.97/32.04 (v90(constB84, bitIndex0) | (~v90(constB85, bitIndex0))),
% 48.97/32.04 inference(unit_resolution,[status(thm)],[13052, 12980])).
% 48.97/32.04 tff(13054,plain,
% 48.97/32.04 (~v90(constB85, bitIndex0)),
% 48.97/32.04 inference(unit_resolution,[status(thm)],[13053, 13045])).
% 48.97/32.04 tff(13055,plain,
% 48.97/32.04 (((~![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))),
% 48.97/32.04 inference(rewrite,[status(thm)],[])).
% 48.97/32.04 tff(13056,plain,
% 48.97/32.04 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2)) | v125(constB85))),
% 48.97/32.04 inference(quant_inst,[status(thm)],[])).
% 48.97/32.04 tff(13057,plain,
% 48.97/32.04 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB85, bitIndex0) | (~v90(constB85, bitIndex1)) | (~v90(constB85, bitIndex2)) | v125(constB85)),
% 48.97/32.04 inference(modus_ponens,[status(thm)],[13056, 13055])).
% 48.97/32.04 tff(13058,plain,
% 48.97/32.04 (v125(constB85)),
% 48.97/32.04 inference(unit_resolution,[status(thm)],[13057, 1019, 13054, 13020, 12989])).
% 48.97/32.04 tff(13059,plain,
% 48.97/32.04 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB85) | (~v125(constB85)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB85) | (~v125(constB85)))),
% 48.97/32.04 inference(rewrite,[status(thm)],[])).
% 48.97/32.04 tff(13060,plain,
% 48.97/32.04 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB85) | (~v125(constB85)))),
% 48.97/32.04 inference(quant_inst,[status(thm)],[])).
% 48.97/32.04 tff(13061,plain,
% 48.97/32.04 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB85) | (~v125(constB85))),
% 48.97/32.04 inference(modus_ponens,[status(thm)],[13060, 13059])).
% 48.97/32.04 tff(13062,plain,
% 48.97/32.04 (v113(constB85)),
% 48.97/32.04 inference(unit_resolution,[status(thm)],[13061, 1031, 13058])).
% 48.97/32.04 tff(13063,plain,
% 48.97/32.04 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB85) | (~v113(constB85)) | v112(constB85))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB85) | (~v113(constB85)) | v112(constB85))),
% 48.97/32.04 inference(rewrite,[status(thm)],[])).
% 48.97/32.04 tff(13064,plain,
% 48.97/32.04 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB85) | (~v113(constB85)) | v112(constB85))),
% 48.97/32.04 inference(quant_inst,[status(thm)],[])).
% 48.97/32.04 tff(13065,plain,
% 48.97/32.04 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB85) | (~v113(constB85)) | v112(constB85)),
% 48.97/32.04 inference(modus_ponens,[status(thm)],[13064, 13063])).
% 48.97/32.04 tff(13066,plain,
% 48.97/32.04 (v26(constB85) | v112(constB85)),
% 48.97/32.04 inference(unit_resolution,[status(thm)],[13065, 224, 13062])).
% 48.97/32.04 tff(13067,plain,
% 48.97/32.04 (v112(constB85)),
% 48.97/32.04 inference(unit_resolution,[status(thm)],[13066, 11715])).
% 48.97/32.04 tff(13068,plain,
% 48.97/32.04 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB85) | (~v112(constB85)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB85) | (~v112(constB85)))),
% 48.97/32.04 inference(rewrite,[status(thm)],[])).
% 48.97/32.04 tff(13069,plain,
% 48.97/32.04 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB85) | (~v112(constB85)))),
% 48.97/32.04 inference(quant_inst,[status(thm)],[])).
% 48.97/32.04 tff(13070,plain,
% 48.97/32.04 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB85) | (~v112(constB85))),
% 48.97/32.04 inference(modus_ponens,[status(thm)],[13069, 13068])).
% 48.97/32.04 tff(13071,plain,
% 48.97/32.04 (v108(constB85)),
% 48.97/32.04 inference(unit_resolution,[status(thm)],[13070, 236, 13067])).
% 48.97/32.04 tff(13072,plain,
% 48.97/32.04 (nextState(constB85, constB86) <=> nextState(constB85, constB86)),
% 48.97/32.04 inference(rewrite,[status(thm)],[])).
% 48.97/32.04 tff(13073,axiom,(nextState(constB85, constB86)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_85_1')).
% 48.97/32.04 tff(13074,plain,
% 48.97/32.04 (nextState(constB85, constB86)),
% 48.97/32.04 inference(modus_ponens,[status(thm)],[13073, 13072])).
% 48.97/32.04 tff(13075,plain,
% 48.97/32.04 (((~![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)))),
% 48.97/32.04 inference(rewrite,[status(thm)],[])).
% 48.97/32.04 tff(13076,plain,
% 48.97/32.04 (((~nextState(constB85, constB86)) | (~v108(constB85)) | v110(constB86)) <=> ((~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85)))),
% 48.97/32.04 inference(rewrite,[status(thm)],[])).
% 48.97/32.04 tff(13077,plain,
% 48.97/32.04 (((~![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))))),
% 48.97/32.04 inference(monotonicity,[status(thm)],[13076])).
% 48.97/32.04 tff(13078,plain,
% 48.97/32.04 (((~![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)))),
% 48.97/32.04 inference(transitivity,[status(thm)],[13077, 13075])).
% 48.97/32.04 tff(13079,plain,
% 48.97/32.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB85, constB86)) | (~v108(constB85)) | v110(constB86))),
% 48.97/32.04 inference(quant_inst,[status(thm)],[])).
% 48.97/32.04 tff(13080,plain,
% 48.97/32.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85))),
% 48.97/32.04 inference(modus_ponens,[status(thm)],[13079, 13078])).
% 48.97/32.04 tff(13081,plain,
% 48.97/32.04 (v110(constB86) | (~v108(constB85))),
% 48.97/32.04 inference(unit_resolution,[status(thm)],[13080, 253, 13074])).
% 48.97/32.04 tff(13082,plain,
% 48.97/32.04 (v110(constB86)),
% 48.97/32.04 inference(unit_resolution,[status(thm)],[13081, 13071])).
% 48.97/32.04 tff(13083,plain,
% 48.97/32.04 (((~![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)))),
% 48.97/32.04 inference(rewrite,[status(thm)],[])).
% 48.97/32.04 tff(13084,plain,
% 48.97/32.04 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB85) | (~nextState(constB85, constB86)) | (~v104(constB86)))),
% 48.97/32.04 inference(quant_inst,[status(thm)],[])).
% 48.97/32.04 tff(13085,plain,
% 48.97/32.04 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB85) | (~nextState(constB85, constB86)) | (~v104(constB86))),
% 48.97/32.04 inference(modus_ponens,[status(thm)],[13084, 13083])).
% 48.97/32.04 tff(13086,plain,
% 48.97/32.04 (~v104(constB86)),
% 48.97/32.04 inference(unit_resolution,[status(thm)],[13085, 271, 13074, 12965])).
% 48.97/32.04 tff(13087,plain,
% 48.97/32.04 (((~![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))),
% 48.97/32.04 inference(rewrite,[status(thm)],[])).
% 48.97/32.04 tff(13088,plain,
% 48.97/32.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB85, constB86)) | v102(constB86) | v104(constB86))),
% 48.97/32.04 inference(quant_inst,[status(thm)],[])).
% 48.97/32.04 tff(13089,plain,
% 48.97/32.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB85, constB86)) | v102(constB86) | v104(constB86)),
% 48.97/32.04 inference(modus_ponens,[status(thm)],[13088, 13087])).
% 48.97/32.04 tff(13090,plain,
% 48.97/32.04 (v102(constB86) | v104(constB86)),
% 48.97/32.04 inference(unit_resolution,[status(thm)],[13089, 285, 13074])).
% 48.97/32.04 tff(13091,plain,
% 48.97/32.04 (v102(constB86)),
% 48.97/32.04 inference(unit_resolution,[status(thm)],[13090, 13086])).
% 48.97/32.04 tff(13092,plain,
% 48.97/32.04 (v1(constB86) <=> v1(constB86)),
% 48.97/32.04 inference(rewrite,[status(thm)],[])).
% 48.97/32.04 tff(13093,axiom,(v1(constB86)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_86_1')).
% 48.97/32.04 tff(13094,plain,
% 48.97/32.04 (v1(constB86)),
% 48.97/32.04 inference(modus_ponens,[status(thm)],[13093, 13092])).
% 48.97/32.04 tff(13095,plain,
% 48.97/32.04 (((~![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)))),
% 48.97/32.04 inference(rewrite,[status(thm)],[])).
% 48.97/32.04 tff(13096,plain,
% 48.97/32.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB85, constB86)) | v101(constB86) | (~v102(constB86)) | (~v1(constB86)))),
% 48.97/32.04 inference(quant_inst,[status(thm)],[])).
% 48.97/32.04 tff(13097,plain,
% 48.97/32.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB85, constB86)) | v101(constB86) | (~v102(constB86)) | (~v1(constB86))),
% 48.97/32.04 inference(modus_ponens,[status(thm)],[13096, 13095])).
% 48.97/32.04 tff(13098,plain,
% 48.97/32.04 (v101(constB86) | (~v102(constB86))),
% 48.97/32.04 inference(unit_resolution,[status(thm)],[13097, 303, 13074, 13094])).
% 48.97/32.04 tff(13099,plain,
% 48.97/32.04 (v101(constB86)),
% 48.97/32.04 inference(unit_resolution,[status(thm)],[13098, 13091])).
% 48.97/32.04 tff(13100,plain,
% 48.97/32.04 (((~![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)))),
% 48.97/32.04 inference(rewrite,[status(thm)],[])).
% 48.97/32.04 tff(13101,plain,
% 48.97/32.04 (((~nextState(constB85, constB86)) | (~v101(constB86)) | (~v110(constB86)) | v100(constB86)) <=> ((~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86)))),
% 48.97/32.04 inference(rewrite,[status(thm)],[])).
% 48.97/32.04 tff(13102,plain,
% 48.97/32.04 (((~![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))))),
% 48.97/32.04 inference(monotonicity,[status(thm)],[13101])).
% 48.97/32.04 tff(13103,plain,
% 48.97/32.04 (((~![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)))),
% 48.97/32.05 inference(transitivity,[status(thm)],[13102, 13100])).
% 48.97/32.05 tff(13104,plain,
% 48.97/32.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB85, constB86)) | (~v101(constB86)) | (~v110(constB86)) | v100(constB86))),
% 48.97/32.05 inference(quant_inst,[status(thm)],[])).
% 48.97/32.05 tff(13105,plain,
% 48.97/32.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86))),
% 48.97/32.05 inference(modus_ponens,[status(thm)],[13104, 13103])).
% 48.97/32.05 tff(13106,plain,
% 48.97/32.05 (v100(constB86) | (~v101(constB86)) | (~v110(constB86))),
% 48.97/32.05 inference(unit_resolution,[status(thm)],[13105, 318, 13074])).
% 48.97/32.05 tff(13107,plain,
% 48.97/32.05 (v100(constB86) | (~v110(constB86))),
% 48.97/32.05 inference(unit_resolution,[status(thm)],[13106, 13099])).
% 48.97/32.05 tff(13108,plain,
% 48.97/32.05 (v100(constB86)),
% 48.97/32.05 inference(unit_resolution,[status(thm)],[13107, 13082])).
% 48.97/32.05 tff(13109,assumption,(v127(constB85, bitIndex2)), introduced(assumption)).
% 48.97/32.05 tff(13110,plain,
% 48.97/32.05 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB85, bitIndex2)) | (~v121(constB85)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB85, bitIndex2)) | (~v121(constB85)))),
% 48.97/32.05 inference(rewrite,[status(thm)],[])).
% 48.97/32.05 tff(13111,plain,
% 48.97/32.05 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB85, bitIndex2)) | (~v121(constB85)))),
% 48.97/32.05 inference(quant_inst,[status(thm)],[])).
% 48.97/32.05 tff(13112,plain,
% 48.97/32.05 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB85, bitIndex2)) | (~v121(constB85))),
% 48.97/32.05 inference(modus_ponens,[status(thm)],[13111, 13110])).
% 48.97/32.05 tff(13113,plain,
% 48.97/32.05 (~v121(constB85)),
% 48.97/32.05 inference(unit_resolution,[status(thm)],[13112, 883, 12989])).
% 48.97/32.05 tff(13114,plain,
% 48.97/32.05 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB85, bitIndex2)) | (~v122(constB85)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB85, bitIndex2)) | (~v122(constB85)))),
% 48.97/32.05 inference(rewrite,[status(thm)],[])).
% 48.97/32.05 tff(13115,plain,
% 48.97/32.05 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB85, bitIndex2)) | (~v122(constB85)))),
% 48.97/32.05 inference(quant_inst,[status(thm)],[])).
% 48.97/32.05 tff(13116,plain,
% 48.97/32.05 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB85, bitIndex2)) | (~v122(constB85))),
% 48.97/32.05 inference(modus_ponens,[status(thm)],[13115, 13114])).
% 48.97/32.05 tff(13117,plain,
% 48.97/32.05 (~v122(constB85)),
% 48.97/32.05 inference(unit_resolution,[status(thm)],[13116, 894, 12989])).
% 48.97/32.05 tff(13118,plain,
% 48.97/32.05 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB85)) | (~v90(constB85, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB85)) | (~v90(constB85, bitIndex1)))),
% 48.97/32.05 inference(rewrite,[status(thm)],[])).
% 48.97/32.05 tff(13119,plain,
% 48.97/32.05 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB85)) | (~v90(constB85, bitIndex1)))),
% 48.97/32.05 inference(quant_inst,[status(thm)],[])).
% 48.97/32.05 tff(13120,plain,
% 48.97/32.05 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB85)) | (~v90(constB85, bitIndex1))),
% 48.97/32.05 inference(modus_ponens,[status(thm)],[13119, 13118])).
% 48.97/32.05 tff(13121,plain,
% 48.97/32.05 (~v119(constB85)),
% 48.97/32.05 inference(unit_resolution,[status(thm)],[13120, 2293, 13020])).
% 48.97/32.05 tff(13122,plain,
% 48.97/32.05 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB85, bitIndex1)) | (~v120(constB85)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB85, bitIndex1)) | (~v120(constB85)))),
% 48.97/32.05 inference(rewrite,[status(thm)],[])).
% 48.97/32.05 tff(13123,plain,
% 48.97/32.05 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB85, bitIndex1)) | (~v120(constB85)))),
% 48.97/32.05 inference(quant_inst,[status(thm)],[])).
% 48.97/32.05 tff(13124,plain,
% 48.97/32.05 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB85, bitIndex1)) | (~v120(constB85))),
% 48.97/32.05 inference(modus_ponens,[status(thm)],[13123, 13122])).
% 48.97/32.05 tff(13125,plain,
% 48.97/32.05 (~v120(constB85)),
% 48.97/32.05 inference(unit_resolution,[status(thm)],[13124, 2312, 13020])).
% 48.97/32.05 tff(13126,plain,
% 48.97/32.05 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB85, bitIndex1)) | (~v123(constB85)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB85, bitIndex1)) | (~v123(constB85)))),
% 48.97/32.05 inference(rewrite,[status(thm)],[])).
% 48.97/32.05 tff(13127,plain,
% 48.97/32.05 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB85, bitIndex1)) | (~v123(constB85)))),
% 48.97/32.05 inference(quant_inst,[status(thm)],[])).
% 48.97/32.05 tff(13128,plain,
% 48.97/32.05 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB85, bitIndex1)) | (~v123(constB85))),
% 48.97/32.05 inference(modus_ponens,[status(thm)],[13127, 13126])).
% 48.97/32.05 tff(13129,plain,
% 48.97/32.05 (~v123(constB85)),
% 48.97/32.05 inference(unit_resolution,[status(thm)],[13128, 774, 13020])).
% 48.97/32.05 tff(13130,plain,
% 48.97/32.05 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB85, bitIndex1)) | (~v124(constB85)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB85, bitIndex1)) | (~v124(constB85)))),
% 48.97/32.05 inference(rewrite,[status(thm)],[])).
% 48.97/32.05 tff(13131,plain,
% 48.97/32.05 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB85, bitIndex1)) | (~v124(constB85)))),
% 48.97/32.05 inference(quant_inst,[status(thm)],[])).
% 48.97/32.05 tff(13132,plain,
% 48.97/32.05 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB85, bitIndex1)) | (~v124(constB85))),
% 48.97/32.05 inference(modus_ponens,[status(thm)],[13131, 13130])).
% 48.97/32.05 tff(13133,plain,
% 48.97/32.05 (~v124(constB85)),
% 48.97/32.05 inference(unit_resolution,[status(thm)],[13132, 763, 13020])).
% 48.97/32.05 tff(13134,plain,
% 48.97/32.05 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v121(constB85) | v119(constB85) | v122(constB85) | v124(constB85) | v120(constB85) | (~v130(constB85, bitIndex2)) | v123(constB85))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v121(constB85) | v119(constB85) | v122(constB85) | v124(constB85) | v120(constB85) | (~v130(constB85, bitIndex2)) | v123(constB85))),
% 48.97/32.05 inference(rewrite,[status(thm)],[])).
% 48.97/32.05 tff(13135,plain,
% 48.97/32.05 ((v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex2))) <=> (v121(constB85) | v119(constB85) | v122(constB85) | v124(constB85) | v120(constB85) | (~v130(constB85, bitIndex2)) | v123(constB85))),
% 48.97/32.05 inference(rewrite,[status(thm)],[])).
% 48.97/32.05 tff(13136,plain,
% 48.97/32.05 (((~![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)))) | (v121(constB85) | v119(constB85) | v122(constB85) | v124(constB85) | v120(constB85) | (~v130(constB85, bitIndex2)) | v123(constB85)))),
% 48.97/32.05 inference(monotonicity,[status(thm)],[13135])).
% 48.97/32.05 tff(13137,plain,
% 48.97/32.05 (((~![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)))) | v121(constB85) | v119(constB85) | v122(constB85) | v124(constB85) | v120(constB85) | (~v130(constB85, bitIndex2)) | v123(constB85))),
% 48.97/32.05 inference(transitivity,[status(thm)],[13136, 13134])).
% 48.97/32.05 tff(13138,plain,
% 48.97/32.05 ((~![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)))),
% 48.97/32.05 inference(quant_inst,[status(thm)],[])).
% 48.97/32.05 tff(13139,plain,
% 48.97/32.05 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v121(constB85) | v119(constB85) | v122(constB85) | v124(constB85) | v120(constB85) | (~v130(constB85, bitIndex2)) | v123(constB85)),
% 48.97/32.05 inference(modus_ponens,[status(thm)],[13138, 13137])).
% 48.97/32.05 tff(13140,plain,
% 48.97/32.05 (~v130(constB85, bitIndex2)),
% 48.97/32.05 inference(unit_resolution,[status(thm)],[13139, 1192, 13133, 13129, 13125, 13121, 13117, 13113])).
% 48.97/32.05 tff(13141,plain,
% 48.97/32.05 (((~![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))),
% 48.97/32.05 inference(rewrite,[status(thm)],[])).
% 48.97/32.05 tff(13142,plain,
% 48.97/32.05 ((v26(constB85) | v130(constB85, bitIndex2) | (~v127(constB85, bitIndex2))) <=> ((~v127(constB85, bitIndex2)) | v26(constB85) | v130(constB85, bitIndex2))),
% 48.97/32.05 inference(rewrite,[status(thm)],[])).
% 48.97/32.05 tff(13143,plain,
% 48.97/32.05 (((~![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)))),
% 48.97/32.05 inference(monotonicity,[status(thm)],[13142])).
% 48.97/32.05 tff(13144,plain,
% 48.97/32.05 (((~![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))),
% 48.97/32.05 inference(transitivity,[status(thm)],[13143, 13141])).
% 48.97/32.05 tff(13145,plain,
% 48.97/32.05 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB85) | v130(constB85, bitIndex2) | (~v127(constB85, bitIndex2)))),
% 48.97/32.05 inference(quant_inst,[status(thm)],[])).
% 48.97/32.05 tff(13146,plain,
% 48.97/32.05 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB85, bitIndex2)) | v26(constB85) | v130(constB85, bitIndex2)),
% 48.97/32.05 inference(modus_ponens,[status(thm)],[13145, 13144])).
% 48.97/32.05 tff(13147,plain,
% 48.97/32.05 ((~v127(constB85, bitIndex2)) | v26(constB85)),
% 48.97/32.05 inference(unit_resolution,[status(thm)],[13146, 1210, 13140])).
% 48.97/32.05 tff(13148,plain,
% 48.97/32.05 (v26(constB85)),
% 48.97/32.05 inference(unit_resolution,[status(thm)],[13147, 13109])).
% 48.97/32.05 tff(13149,plain,
% 48.97/32.05 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB85)) | (~v127(constB85, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB85)) | (~v127(constB85, bitIndex2)))),
% 48.97/32.05 inference(rewrite,[status(thm)],[])).
% 48.97/32.05 tff(13150,plain,
% 48.97/32.05 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB85)) | (~v127(constB85, bitIndex2)))),
% 48.97/32.05 inference(quant_inst,[status(thm)],[])).
% 48.97/32.05 tff(13151,plain,
% 48.97/32.05 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB85)) | (~v127(constB85, bitIndex2))),
% 48.97/32.05 inference(modus_ponens,[status(thm)],[13150, 13149])).
% 48.97/32.05 tff(13152,plain,
% 48.97/32.05 ($false),
% 48.97/32.05 inference(unit_resolution,[status(thm)],[13151, 1228, 13109, 13148])).
% 48.97/32.05 tff(13153,plain,(~v127(constB85, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 48.97/32.05 tff(13154,plain,
% 48.97/32.05 (((~![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)))),
% 48.97/32.05 inference(rewrite,[status(thm)],[])).
% 48.97/32.05 tff(13155,plain,
% 48.97/32.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB85, constB86)) | v127(constB85, bitIndex2) | (~v129(constB86, bitIndex2)))),
% 48.97/32.05 inference(quant_inst,[status(thm)],[])).
% 48.97/32.05 tff(13156,plain,
% 48.97/32.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB85, constB86)) | v127(constB85, bitIndex2) | (~v129(constB86, bitIndex2))),
% 48.97/32.05 inference(modus_ponens,[status(thm)],[13155, 13154])).
% 48.97/32.05 tff(13157,plain,
% 48.97/32.05 (v127(constB85, bitIndex2) | (~v129(constB86, bitIndex2))),
% 48.97/32.05 inference(unit_resolution,[status(thm)],[13156, 1243, 13074])).
% 48.97/32.05 tff(13158,plain,
% 48.97/32.05 (~v129(constB86, bitIndex2)),
% 48.97/32.05 inference(unit_resolution,[status(thm)],[13157, 13153])).
% 48.97/32.05 tff(13159,plain,
% 48.97/32.05 (((~![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)))),
% 48.97/32.05 inference(rewrite,[status(thm)],[])).
% 48.97/32.05 tff(13160,plain,
% 48.97/32.05 (((~v90(constB86, bitIndex2)) | (~v100(constB86)) | v129(constB86, bitIndex2)) <=> ((~v90(constB86, bitIndex2)) | v129(constB86, bitIndex2) | (~v100(constB86)))),
% 48.97/32.05 inference(rewrite,[status(thm)],[])).
% 48.97/32.05 tff(13161,plain,
% 48.97/32.05 (((~![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))))),
% 48.97/32.05 inference(monotonicity,[status(thm)],[13160])).
% 48.97/32.05 tff(13162,plain,
% 48.97/32.05 (((~![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)))),
% 48.97/32.05 inference(transitivity,[status(thm)],[13161, 13159])).
% 48.97/32.05 tff(13163,plain,
% 48.97/32.05 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB86, bitIndex2)) | (~v100(constB86)) | v129(constB86, bitIndex2))),
% 48.97/32.05 inference(quant_inst,[status(thm)],[])).
% 48.97/32.05 tff(13164,plain,
% 48.97/32.05 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB86, bitIndex2)) | v129(constB86, bitIndex2) | (~v100(constB86))),
% 48.97/32.05 inference(modus_ponens,[status(thm)],[13163, 13162])).
% 48.97/32.05 tff(13165,plain,
% 48.97/32.05 ((~v90(constB86, bitIndex2)) | (~v100(constB86))),
% 48.97/32.05 inference(unit_resolution,[status(thm)],[13164, 1258, 13158])).
% 48.97/32.05 tff(13166,plain,
% 48.97/32.05 (~v90(constB86, bitIndex2)),
% 48.97/32.05 inference(unit_resolution,[status(thm)],[13165, 13108])).
% 48.97/32.05 tff(13167,plain,
% 48.97/32.05 ((~v1(constB87)) <=> (~v1(constB87))),
% 48.97/32.05 inference(rewrite,[status(thm)],[])).
% 48.97/32.05 tff(13168,axiom,(~v1(constB87)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_87_1_1')).
% 48.97/32.05 tff(13169,plain,
% 48.97/32.05 (~v1(constB87)),
% 48.97/32.05 inference(modus_ponens,[status(thm)],[13168, 13167])).
% 48.97/32.05 tff(13170,plain,
% 48.97/32.05 (nextState(constB86, constB87) <=> nextState(constB86, constB87)),
% 48.97/32.05 inference(rewrite,[status(thm)],[])).
% 48.97/32.05 tff(13171,axiom,(nextState(constB86, constB87)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_86_1')).
% 48.97/32.05 tff(13172,plain,
% 48.97/32.05 (nextState(constB86, constB87)),
% 48.97/32.05 inference(modus_ponens,[status(thm)],[13171, 13170])).
% 48.97/32.05 tff(13173,plain,
% 48.97/32.05 (((~![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)))),
% 48.97/32.05 inference(rewrite,[status(thm)],[])).
% 48.97/32.05 tff(13174,plain,
% 48.97/32.05 (((~nextState(constB86, constB87)) | (~v101(constB87)) | v1(constB87)) <=> (v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87)))),
% 48.97/32.05 inference(rewrite,[status(thm)],[])).
% 48.97/32.05 tff(13175,plain,
% 48.97/32.05 (((~![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))))),
% 48.97/32.05 inference(monotonicity,[status(thm)],[13174])).
% 48.97/32.05 tff(13176,plain,
% 48.97/32.05 (((~![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)))),
% 48.97/32.05 inference(transitivity,[status(thm)],[13175, 13173])).
% 48.97/32.05 tff(13177,plain,
% 48.97/32.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB86, constB87)) | (~v101(constB87)) | v1(constB87))),
% 48.97/32.05 inference(quant_inst,[status(thm)],[])).
% 48.97/32.05 tff(13178,plain,
% 48.97/32.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87))),
% 48.97/32.05 inference(modus_ponens,[status(thm)],[13177, 13176])).
% 48.97/32.05 tff(13179,plain,
% 48.97/32.05 (~v101(constB87)),
% 48.97/32.05 inference(unit_resolution,[status(thm)],[13178, 49, 13172, 13169])).
% 48.97/32.05 tff(13180,plain,
% 48.97/32.05 (((~![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)))),
% 48.97/32.05 inference(rewrite,[status(thm)],[])).
% 48.97/32.05 tff(13181,plain,
% 48.97/32.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB86, constB87)) | v101(constB87) | (~v100(constB87)))),
% 48.97/32.05 inference(quant_inst,[status(thm)],[])).
% 48.97/32.05 tff(13182,plain,
% 48.97/32.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB86, constB87)) | v101(constB87) | (~v100(constB87))),
% 48.97/32.05 inference(modus_ponens,[status(thm)],[13181, 13180])).
% 48.97/32.05 tff(13183,plain,
% 48.97/32.05 (v101(constB87) | (~v100(constB87))),
% 48.97/32.05 inference(unit_resolution,[status(thm)],[13182, 66, 13172])).
% 48.97/32.05 tff(13184,plain,
% 48.97/32.05 (~v100(constB87)),
% 48.97/32.05 inference(unit_resolution,[status(thm)],[13183, 13179])).
% 48.97/32.05 tff(13185,plain,
% 48.97/32.05 (((~![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)))),
% 48.97/32.05 inference(rewrite,[status(thm)],[])).
% 48.97/32.05 tff(13186,plain,
% 48.97/32.05 (((~nextState(constB86, constB87)) | v90(constB86, bitIndex2) | v100(constB87) | (~v90(constB87, bitIndex2))) <=> (v90(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex2)))),
% 48.97/32.05 inference(rewrite,[status(thm)],[])).
% 48.97/32.05 tff(13187,plain,
% 48.97/32.05 (((~![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))))),
% 48.97/32.05 inference(monotonicity,[status(thm)],[13186])).
% 48.97/32.05 tff(13188,plain,
% 48.97/32.05 (((~![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)))),
% 48.97/32.05 inference(transitivity,[status(thm)],[13187, 13185])).
% 48.97/32.05 tff(13189,plain,
% 48.97/32.05 ((~![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)))),
% 48.97/32.05 inference(quant_inst,[status(thm)],[])).
% 48.97/32.05 tff(13190,plain,
% 48.97/32.05 ((~![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))),
% 48.97/32.05 inference(modus_ponens,[status(thm)],[13189, 13188])).
% 48.97/32.05 tff(13191,plain,
% 48.97/32.05 (v90(constB86, bitIndex2) | v100(constB87) | (~v90(constB87, bitIndex2))),
% 48.97/32.05 inference(unit_resolution,[status(thm)],[13190, 81, 13172])).
% 48.97/32.05 tff(13192,plain,
% 48.97/32.05 (v90(constB86, bitIndex2) | (~v90(constB87, bitIndex2))),
% 48.97/32.05 inference(unit_resolution,[status(thm)],[13191, 13184])).
% 48.97/32.05 tff(13193,plain,
% 48.97/32.05 (~v90(constB87, bitIndex2)),
% 48.97/32.05 inference(unit_resolution,[status(thm)],[13192, 13166])).
% 48.97/32.05 tff(13194,plain,
% 48.97/32.05 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v121(constB85) | v119(constB85) | v122(constB85) | v124(constB85) | v120(constB85) | (~v130(constB85, bitIndex1)) | v123(constB85))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v121(constB85) | v119(constB85) | v122(constB85) | v124(constB85) | v120(constB85) | (~v130(constB85, bitIndex1)) | v123(constB85))),
% 48.97/32.05 inference(rewrite,[status(thm)],[])).
% 48.97/32.05 tff(13195,plain,
% 48.97/32.05 ((v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, bitIndex1))) <=> (v121(constB85) | v119(constB85) | v122(constB85) | v124(constB85) | v120(constB85) | (~v130(constB85, bitIndex1)) | v123(constB85))),
% 48.97/32.05 inference(rewrite,[status(thm)],[])).
% 48.97/32.05 tff(13196,plain,
% 48.97/32.05 (((~![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)))) | (v121(constB85) | v119(constB85) | v122(constB85) | v124(constB85) | v120(constB85) | (~v130(constB85, bitIndex1)) | v123(constB85)))),
% 48.97/32.05 inference(monotonicity,[status(thm)],[13195])).
% 48.97/32.05 tff(13197,plain,
% 48.97/32.05 (((~![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)))) | v121(constB85) | v119(constB85) | v122(constB85) | v124(constB85) | v120(constB85) | (~v130(constB85, bitIndex1)) | v123(constB85))),
% 48.97/32.05 inference(transitivity,[status(thm)],[13196, 13194])).
% 48.97/32.05 tff(13198,plain,
% 48.97/32.05 ((~![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)))),
% 48.97/32.05 inference(quant_inst,[status(thm)],[])).
% 48.97/32.05 tff(13199,plain,
% 48.97/32.05 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v121(constB85) | v119(constB85) | v122(constB85) | v124(constB85) | v120(constB85) | (~v130(constB85, bitIndex1)) | v123(constB85)),
% 48.97/32.05 inference(modus_ponens,[status(thm)],[13198, 13197])).
% 48.97/32.05 tff(13200,plain,
% 48.97/32.05 (~v130(constB85, bitIndex1)),
% 48.97/32.05 inference(unit_resolution,[status(thm)],[13199, 1143, 13133, 13129, 13125, 13121, 13117, 13113])).
% 48.97/32.05 tff(13201,plain,
% 48.97/32.05 (((~![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))),
% 48.97/32.05 inference(rewrite,[status(thm)],[])).
% 48.97/32.05 tff(13202,plain,
% 48.97/32.05 ((v26(constB85) | v130(constB85, bitIndex1) | (~v127(constB85, bitIndex1))) <=> ((~v127(constB85, bitIndex1)) | v26(constB85) | v130(constB85, bitIndex1))),
% 48.97/32.05 inference(rewrite,[status(thm)],[])).
% 48.97/32.05 tff(13203,plain,
% 48.97/32.05 (((~![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)))),
% 48.97/32.05 inference(monotonicity,[status(thm)],[13202])).
% 48.97/32.05 tff(13204,plain,
% 48.97/32.05 (((~![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))),
% 48.97/32.05 inference(transitivity,[status(thm)],[13203, 13201])).
% 48.97/32.05 tff(13205,plain,
% 48.97/32.05 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB85) | v130(constB85, bitIndex1) | (~v127(constB85, bitIndex1)))),
% 48.97/32.05 inference(quant_inst,[status(thm)],[])).
% 48.97/32.05 tff(13206,plain,
% 48.97/32.05 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB85, bitIndex1)) | v26(constB85) | v130(constB85, bitIndex1)),
% 48.97/32.05 inference(modus_ponens,[status(thm)],[13205, 13204])).
% 48.97/32.05 tff(13207,plain,
% 48.97/32.05 ((~v127(constB85, bitIndex1)) | v26(constB85)),
% 48.97/32.05 inference(unit_resolution,[status(thm)],[13206, 450, 13200])).
% 48.97/32.05 tff(13208,plain,
% 48.97/32.05 (~v127(constB85, bitIndex1)),
% 48.97/32.05 inference(unit_resolution,[status(thm)],[13207, 11715])).
% 48.97/32.05 tff(13209,plain,
% 48.97/32.05 (((~![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)))),
% 48.97/32.06 inference(rewrite,[status(thm)],[])).
% 48.97/32.06 tff(13210,plain,
% 48.97/32.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB85, constB86)) | v127(constB85, bitIndex1) | (~v129(constB86, bitIndex1)))),
% 48.97/32.06 inference(quant_inst,[status(thm)],[])).
% 48.97/32.06 tff(13211,plain,
% 48.97/32.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB85, constB86)) | v127(constB85, bitIndex1) | (~v129(constB86, bitIndex1))),
% 48.97/32.06 inference(modus_ponens,[status(thm)],[13210, 13209])).
% 48.97/32.06 tff(13212,plain,
% 48.97/32.06 (v127(constB85, bitIndex1) | (~v129(constB86, bitIndex1))),
% 48.97/32.06 inference(unit_resolution,[status(thm)],[13211, 468, 13074])).
% 48.97/32.06 tff(13213,plain,
% 48.97/32.06 (~v129(constB86, bitIndex1)),
% 48.97/32.06 inference(unit_resolution,[status(thm)],[13212, 13208])).
% 48.97/32.06 tff(13214,plain,
% 48.97/32.06 (((~![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)))),
% 48.97/32.06 inference(rewrite,[status(thm)],[])).
% 48.97/32.06 tff(13215,plain,
% 48.97/32.06 (((~v90(constB86, bitIndex1)) | (~v100(constB86)) | v129(constB86, bitIndex1)) <=> ((~v90(constB86, bitIndex1)) | v129(constB86, bitIndex1) | (~v100(constB86)))),
% 48.97/32.06 inference(rewrite,[status(thm)],[])).
% 48.97/32.06 tff(13216,plain,
% 48.97/32.06 (((~![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))))),
% 48.97/32.06 inference(monotonicity,[status(thm)],[13215])).
% 48.97/32.06 tff(13217,plain,
% 48.97/32.06 (((~![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)))),
% 48.97/32.06 inference(transitivity,[status(thm)],[13216, 13214])).
% 48.97/32.06 tff(13218,plain,
% 48.97/32.06 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB86, bitIndex1)) | (~v100(constB86)) | v129(constB86, bitIndex1))),
% 48.97/32.06 inference(quant_inst,[status(thm)],[])).
% 48.97/32.06 tff(13219,plain,
% 48.97/32.06 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB86, bitIndex1)) | v129(constB86, bitIndex1) | (~v100(constB86))),
% 48.97/32.06 inference(modus_ponens,[status(thm)],[13218, 13217])).
% 48.97/32.06 tff(13220,plain,
% 48.97/32.06 ((~v90(constB86, bitIndex1)) | (~v100(constB86))),
% 48.97/32.06 inference(unit_resolution,[status(thm)],[13219, 483, 13213])).
% 48.97/32.06 tff(13221,plain,
% 48.97/32.06 (~v90(constB86, bitIndex1)),
% 48.97/32.06 inference(unit_resolution,[status(thm)],[13220, 13108])).
% 48.97/32.06 tff(13222,plain,
% 48.97/32.06 (((~![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)))),
% 48.97/32.06 inference(rewrite,[status(thm)],[])).
% 48.97/32.06 tff(13223,plain,
% 48.97/32.06 (((~nextState(constB86, constB87)) | v90(constB86, bitIndex1) | v100(constB87) | (~v90(constB87, bitIndex1))) <=> (v90(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, bitIndex1)))),
% 48.97/32.06 inference(rewrite,[status(thm)],[])).
% 48.97/32.06 tff(13224,plain,
% 48.97/32.06 (((~![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))))),
% 48.97/32.06 inference(monotonicity,[status(thm)],[13223])).
% 48.97/32.06 tff(13225,plain,
% 48.97/32.06 (((~![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)))),
% 48.97/32.06 inference(transitivity,[status(thm)],[13224, 13222])).
% 48.97/32.06 tff(13226,plain,
% 48.97/32.06 ((~![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)))),
% 48.97/32.06 inference(quant_inst,[status(thm)],[])).
% 48.97/32.06 tff(13227,plain,
% 48.97/32.06 ((~![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))),
% 48.97/32.06 inference(modus_ponens,[status(thm)],[13226, 13225])).
% 48.97/32.06 tff(13228,plain,
% 48.97/32.06 (v90(constB86, bitIndex1) | v100(constB87) | (~v90(constB87, bitIndex1))),
% 48.97/32.06 inference(unit_resolution,[status(thm)],[13227, 102, 13172])).
% 48.97/32.06 tff(13229,plain,
% 48.97/32.06 (v90(constB86, bitIndex1) | (~v90(constB87, bitIndex1))),
% 48.97/32.06 inference(unit_resolution,[status(thm)],[13228, 13184])).
% 48.97/32.06 tff(13230,plain,
% 48.97/32.06 (~v90(constB87, bitIndex1)),
% 48.97/32.06 inference(unit_resolution,[status(thm)],[13229, 13221])).
% 48.97/32.06 tff(13231,plain,
% 48.97/32.06 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v121(constB85) | v130(constB85, bitIndex0) | v119(constB85) | v122(constB85) | v124(constB85) | v120(constB85) | v123(constB85))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v121(constB85) | v130(constB85, bitIndex0) | v119(constB85) | v122(constB85) | v124(constB85) | v120(constB85) | v123(constB85))),
% 48.97/32.06 inference(rewrite,[status(thm)],[])).
% 48.97/32.06 tff(13232,plain,
% 48.97/32.06 ((v120(constB85) | v119(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | v130(constB85, bitIndex0)) <=> (v121(constB85) | v130(constB85, bitIndex0) | v119(constB85) | v122(constB85) | v124(constB85) | v120(constB85) | v123(constB85))),
% 48.97/32.06 inference(rewrite,[status(thm)],[])).
% 48.97/32.06 tff(13233,plain,
% 48.97/32.06 (((~![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))) | (v121(constB85) | v130(constB85, bitIndex0) | v119(constB85) | v122(constB85) | v124(constB85) | v120(constB85) | v123(constB85)))),
% 48.97/32.06 inference(monotonicity,[status(thm)],[13232])).
% 48.97/32.06 tff(13234,plain,
% 48.97/32.06 (((~![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))) | v121(constB85) | v130(constB85, bitIndex0) | v119(constB85) | v122(constB85) | v124(constB85) | v120(constB85) | v123(constB85))),
% 48.97/32.06 inference(transitivity,[status(thm)],[13233, 13231])).
% 48.97/32.06 tff(13235,plain,
% 48.97/32.06 ((~![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))),
% 48.97/32.06 inference(quant_inst,[status(thm)],[])).
% 48.97/32.06 tff(13236,plain,
% 48.97/32.06 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v121(constB85) | v130(constB85, bitIndex0) | v119(constB85) | v122(constB85) | v124(constB85) | v120(constB85) | v123(constB85)),
% 48.97/32.06 inference(modus_ponens,[status(thm)],[13235, 13234])).
% 48.97/32.06 tff(13237,plain,
% 48.97/32.06 (v130(constB85, bitIndex0)),
% 48.97/32.06 inference(unit_resolution,[status(thm)],[13236, 908, 13133, 13129, 13125, 13121, 13117, 13113])).
% 48.97/32.06 tff(13238,plain,
% 48.97/32.06 (((~![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))),
% 48.97/32.06 inference(rewrite,[status(thm)],[])).
% 48.97/32.06 tff(13239,plain,
% 48.97/32.06 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB85) | (~v130(constB85, bitIndex0)) | v127(constB85, bitIndex0))),
% 48.97/32.06 inference(quant_inst,[status(thm)],[])).
% 48.97/32.06 tff(13240,plain,
% 48.97/32.06 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB85) | (~v130(constB85, bitIndex0)) | v127(constB85, bitIndex0)),
% 48.97/32.06 inference(modus_ponens,[status(thm)],[13239, 13238])).
% 48.97/32.06 tff(13241,plain,
% 48.97/32.06 (v26(constB85) | v127(constB85, bitIndex0)),
% 48.97/32.06 inference(unit_resolution,[status(thm)],[13240, 926, 13237])).
% 48.97/32.06 tff(13242,plain,
% 48.97/32.06 (v127(constB85, bitIndex0)),
% 48.97/32.06 inference(unit_resolution,[status(thm)],[13241, 11715])).
% 48.97/32.06 tff(13243,plain,
% 48.97/32.06 (((~![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))),
% 48.97/32.06 inference(rewrite,[status(thm)],[])).
% 48.97/32.06 tff(13244,plain,
% 48.97/32.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB85, constB86)) | (~v127(constB85, bitIndex0)) | v129(constB86, bitIndex0))),
% 48.97/32.06 inference(quant_inst,[status(thm)],[])).
% 48.97/32.06 tff(13245,plain,
% 48.97/32.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB85, constB86)) | (~v127(constB85, bitIndex0)) | v129(constB86, bitIndex0)),
% 48.97/32.06 inference(modus_ponens,[status(thm)],[13244, 13243])).
% 48.97/32.06 tff(13246,plain,
% 48.97/32.06 ((~v127(constB85, bitIndex0)) | v129(constB86, bitIndex0)),
% 48.97/32.06 inference(unit_resolution,[status(thm)],[13245, 944, 13074])).
% 48.97/32.06 tff(13247,plain,
% 48.97/32.06 (v129(constB86, bitIndex0)),
% 48.97/32.06 inference(unit_resolution,[status(thm)],[13246, 13242])).
% 48.97/32.06 tff(13248,plain,
% 48.97/32.06 (((~![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)))),
% 48.97/32.06 inference(rewrite,[status(thm)],[])).
% 48.97/32.06 tff(13249,plain,
% 48.97/32.06 ((v90(constB86, bitIndex0) | (~v100(constB86)) | (~v129(constB86, bitIndex0))) <=> (v90(constB86, bitIndex0) | (~v129(constB86, bitIndex0)) | (~v100(constB86)))),
% 48.97/32.06 inference(rewrite,[status(thm)],[])).
% 48.97/32.06 tff(13250,plain,
% 48.97/32.06 (((~![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))))),
% 48.97/32.06 inference(monotonicity,[status(thm)],[13249])).
% 48.97/32.06 tff(13251,plain,
% 48.97/32.06 (((~![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)))),
% 48.97/32.06 inference(transitivity,[status(thm)],[13250, 13248])).
% 48.97/32.06 tff(13252,plain,
% 48.97/32.06 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB86, bitIndex0) | (~v100(constB86)) | (~v129(constB86, bitIndex0)))),
% 48.97/32.06 inference(quant_inst,[status(thm)],[])).
% 48.97/32.06 tff(13253,plain,
% 48.97/32.06 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB86, bitIndex0) | (~v129(constB86, bitIndex0)) | (~v100(constB86))),
% 48.97/32.06 inference(modus_ponens,[status(thm)],[13252, 13251])).
% 48.97/32.06 tff(13254,plain,
% 48.97/32.06 (v90(constB86, bitIndex0) | (~v100(constB86))),
% 48.97/32.06 inference(unit_resolution,[status(thm)],[13253, 1088, 13247])).
% 48.97/32.06 tff(13255,plain,
% 48.97/32.06 (v90(constB86, bitIndex0)),
% 48.97/32.06 inference(unit_resolution,[status(thm)],[13254, 13108])).
% 48.97/32.06 tff(13256,plain,
% 48.97/32.06 (((~![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))),
% 48.97/32.06 inference(rewrite,[status(thm)],[])).
% 48.97/32.06 tff(13257,plain,
% 48.97/32.06 (((~nextState(constB86, constB87)) | (~v90(constB86, bitIndex0)) | v100(constB87) | v90(constB87, bitIndex0)) <=> ((~v90(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, bitIndex0))),
% 48.97/32.06 inference(rewrite,[status(thm)],[])).
% 48.97/32.06 tff(13258,plain,
% 48.97/32.06 (((~![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)))),
% 48.97/32.06 inference(monotonicity,[status(thm)],[13257])).
% 48.97/32.06 tff(13259,plain,
% 48.97/32.06 (((~![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))),
% 48.97/32.06 inference(transitivity,[status(thm)],[13258, 13256])).
% 48.97/32.06 tff(13260,plain,
% 48.97/32.06 ((~![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))),
% 48.97/32.06 inference(quant_inst,[status(thm)],[])).
% 48.97/32.06 tff(13261,plain,
% 48.97/32.06 ((~![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)),
% 48.97/32.06 inference(modus_ponens,[status(thm)],[13260, 13259])).
% 48.97/32.06 tff(13262,plain,
% 48.97/32.06 ((~v90(constB86, bitIndex0)) | v100(constB87) | v90(constB87, bitIndex0)),
% 48.97/32.06 inference(unit_resolution,[status(thm)],[13261, 1124, 13172])).
% 48.97/32.06 tff(13263,plain,
% 48.97/32.06 ((~v90(constB86, bitIndex0)) | v90(constB87, bitIndex0)),
% 48.97/32.06 inference(unit_resolution,[status(thm)],[13262, 13184])).
% 48.97/32.06 tff(13264,plain,
% 48.97/32.06 (v90(constB87, bitIndex0)),
% 48.97/32.06 inference(unit_resolution,[status(thm)],[13263, 13255])).
% 48.97/32.06 tff(13265,plain,
% 48.97/32.06 (((~![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))),
% 48.97/32.06 inference(rewrite,[status(thm)],[])).
% 48.97/32.06 tff(13266,plain,
% 48.97/32.06 (((~v90(constB87, bitIndex0)) | v120(constB87) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2)) <=> ((~v90(constB87, bitIndex0)) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | v120(constB87))),
% 48.97/32.06 inference(rewrite,[status(thm)],[])).
% 48.97/32.06 tff(13267,plain,
% 48.97/32.06 (((~![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)))),
% 48.97/32.06 inference(monotonicity,[status(thm)],[13266])).
% 48.97/32.06 tff(13268,plain,
% 48.97/32.06 (((~![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))),
% 48.97/32.06 inference(transitivity,[status(thm)],[13267, 13265])).
% 48.97/32.06 tff(13269,plain,
% 48.97/32.06 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB87, bitIndex0)) | v120(constB87) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2))),
% 48.97/32.06 inference(quant_inst,[status(thm)],[])).
% 48.97/32.06 tff(13270,plain,
% 48.97/32.06 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB87, bitIndex0)) | v90(constB87, bitIndex1) | v90(constB87, bitIndex2) | v120(constB87)),
% 48.97/32.06 inference(modus_ponens,[status(thm)],[13269, 13268])).
% 48.97/32.06 tff(13271,plain,
% 48.97/32.06 (v120(constB87)),
% 48.97/32.06 inference(unit_resolution,[status(thm)],[13270, 1285, 13264, 13230, 13193])).
% 48.97/32.06 tff(13272,plain,
% 48.97/32.06 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB87)) | v130(constB87, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB87)) | v130(constB87, bitIndex1))),
% 48.97/32.06 inference(rewrite,[status(thm)],[])).
% 48.97/32.06 tff(13273,plain,
% 48.97/32.06 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB87)) | v130(constB87, bitIndex1))),
% 48.97/32.06 inference(quant_inst,[status(thm)],[])).
% 48.97/32.06 tff(13274,plain,
% 48.97/32.06 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB87)) | v130(constB87, bitIndex1)),
% 48.97/32.06 inference(modus_ponens,[status(thm)],[13273, 13272])).
% 48.97/32.06 tff(13275,plain,
% 48.97/32.06 (v130(constB87, bitIndex1)),
% 48.97/32.06 inference(unit_resolution,[status(thm)],[13274, 1450, 13271])).
% 48.97/32.06 tff(13276,plain,
% 48.97/32.06 (((~![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))),
% 48.97/32.06 inference(rewrite,[status(thm)],[])).
% 48.97/32.06 tff(13277,plain,
% 48.97/32.06 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB87) | (~v130(constB87, bitIndex1)) | v127(constB87, bitIndex1))),
% 48.97/32.06 inference(quant_inst,[status(thm)],[])).
% 48.97/32.06 tff(13278,plain,
% 48.97/32.06 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB87) | (~v130(constB87, bitIndex1)) | v127(constB87, bitIndex1)),
% 48.97/32.06 inference(modus_ponens,[status(thm)],[13277, 13276])).
% 48.97/32.06 tff(13279,plain,
% 48.97/32.06 (v26(constB87) | v127(constB87, bitIndex1)),
% 48.97/32.06 inference(unit_resolution,[status(thm)],[13278, 681, 13275])).
% 48.97/32.06 tff(13280,plain,
% 48.97/32.06 (v127(constB87, bitIndex1)),
% 48.97/32.06 inference(unit_resolution,[status(thm)],[13279, 11711])).
% 48.97/32.06 tff(13281,plain,
% 48.97/32.06 (nextState(constB87, constB88) <=> nextState(constB87, constB88)),
% 48.97/32.06 inference(rewrite,[status(thm)],[])).
% 48.97/32.06 tff(13282,axiom,(nextState(constB87, constB88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_87_1')).
% 48.97/32.06 tff(13283,plain,
% 48.97/32.06 (nextState(constB87, constB88)),
% 48.97/32.06 inference(modus_ponens,[status(thm)],[13282, 13281])).
% 48.97/32.06 tff(13284,plain,
% 48.97/32.06 (((~![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))),
% 48.97/32.06 inference(rewrite,[status(thm)],[])).
% 48.97/32.06 tff(13285,plain,
% 48.97/32.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB87, constB88)) | (~v127(constB87, bitIndex1)) | v129(constB88, bitIndex1))),
% 48.97/32.06 inference(quant_inst,[status(thm)],[])).
% 48.97/32.06 tff(13286,plain,
% 48.97/32.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB87, constB88)) | (~v127(constB87, bitIndex1)) | v129(constB88, bitIndex1)),
% 48.97/32.06 inference(modus_ponens,[status(thm)],[13285, 13284])).
% 48.97/32.06 tff(13287,plain,
% 48.97/32.06 ((~v127(constB87, bitIndex1)) | v129(constB88, bitIndex1)),
% 48.97/32.06 inference(unit_resolution,[status(thm)],[13286, 696, 13283])).
% 48.97/32.06 tff(13288,plain,
% 48.97/32.06 (v129(constB88, bitIndex1)),
% 48.97/32.06 inference(unit_resolution,[status(thm)],[13287, 13280])).
% 48.97/32.06 tff(13289,plain,
% 48.97/32.06 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB87) | (~v120(constB87)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB87) | (~v120(constB87)))),
% 48.97/32.06 inference(rewrite,[status(thm)],[])).
% 48.97/32.06 tff(13290,plain,
% 48.97/32.06 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB87) | (~v120(constB87)))),
% 48.97/32.06 inference(quant_inst,[status(thm)],[])).
% 48.97/32.06 tff(13291,plain,
% 48.97/32.06 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB87) | (~v120(constB87))),
% 48.97/32.06 inference(modus_ponens,[status(thm)],[13290, 13289])).
% 48.97/32.06 tff(13292,plain,
% 48.97/32.06 (v118(constB87)),
% 48.97/32.06 inference(unit_resolution,[status(thm)],[13291, 1302, 13271])).
% 48.97/32.06 tff(13293,plain,
% 48.97/32.06 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB87) | (~v118(constB87)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB87) | (~v118(constB87)))),
% 48.97/32.06 inference(rewrite,[status(thm)],[])).
% 48.97/32.06 tff(13294,plain,
% 48.97/32.06 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB87) | (~v118(constB87)))),
% 48.97/32.06 inference(quant_inst,[status(thm)],[])).
% 48.97/32.06 tff(13295,plain,
% 48.97/32.06 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB87) | (~v118(constB87))),
% 48.97/32.06 inference(modus_ponens,[status(thm)],[13294, 13293])).
% 48.97/32.06 tff(13296,plain,
% 48.97/32.06 (v117(constB87)),
% 48.97/32.06 inference(unit_resolution,[status(thm)],[13295, 166, 13292])).
% 48.97/32.06 tff(13297,plain,
% 48.97/32.06 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB87) | (~v117(constB87)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB87) | (~v117(constB87)))),
% 48.97/32.06 inference(rewrite,[status(thm)],[])).
% 48.97/32.06 tff(13298,plain,
% 48.97/32.06 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB87) | (~v117(constB87)))),
% 48.97/32.06 inference(quant_inst,[status(thm)],[])).
% 48.97/32.06 tff(13299,plain,
% 48.97/32.06 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB87) | (~v117(constB87))),
% 48.97/32.06 inference(modus_ponens,[status(thm)],[13298, 13297])).
% 48.97/32.06 tff(13300,plain,
% 48.97/32.06 (v116(constB87)),
% 48.97/32.06 inference(unit_resolution,[status(thm)],[13299, 177, 13296])).
% 48.97/32.06 tff(13301,plain,
% 48.97/32.06 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB87) | (~v116(constB87)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB87) | (~v116(constB87)))),
% 48.97/32.06 inference(rewrite,[status(thm)],[])).
% 48.97/32.06 tff(13302,plain,
% 48.97/32.06 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB87) | (~v116(constB87)))),
% 48.97/32.06 inference(quant_inst,[status(thm)],[])).
% 48.97/32.06 tff(13303,plain,
% 48.97/32.06 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB87) | (~v116(constB87))),
% 48.97/32.06 inference(modus_ponens,[status(thm)],[13302, 13301])).
% 48.97/32.06 tff(13304,plain,
% 48.97/32.06 (v115(constB87)),
% 48.97/32.06 inference(unit_resolution,[status(thm)],[13303, 188, 13300])).
% 48.97/32.06 tff(13305,plain,
% 48.97/32.06 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB87) | (~v115(constB87)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB87) | (~v115(constB87)))),
% 48.97/32.06 inference(rewrite,[status(thm)],[])).
% 48.97/32.06 tff(13306,plain,
% 48.97/32.06 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB87) | (~v115(constB87)))),
% 48.97/32.06 inference(quant_inst,[status(thm)],[])).
% 48.97/32.06 tff(13307,plain,
% 48.97/32.06 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB87) | (~v115(constB87))),
% 48.97/32.06 inference(modus_ponens,[status(thm)],[13306, 13305])).
% 48.97/32.06 tff(13308,plain,
% 48.97/32.06 (v114(constB87)),
% 48.97/32.06 inference(unit_resolution,[status(thm)],[13307, 199, 13304])).
% 48.97/32.06 tff(13309,plain,
% 48.97/32.06 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB87) | (~v114(constB87)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB87) | (~v114(constB87)))),
% 48.97/32.06 inference(rewrite,[status(thm)],[])).
% 48.97/32.06 tff(13310,plain,
% 48.97/32.06 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB87) | (~v114(constB87)))),
% 48.97/32.06 inference(quant_inst,[status(thm)],[])).
% 48.97/32.06 tff(13311,plain,
% 48.97/32.06 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB87) | (~v114(constB87))),
% 48.97/32.06 inference(modus_ponens,[status(thm)],[13310, 13309])).
% 48.97/32.06 tff(13312,plain,
% 48.97/32.06 (v113(constB87)),
% 48.97/32.06 inference(unit_resolution,[status(thm)],[13311, 210, 13308])).
% 48.97/32.06 tff(13313,assumption,(~v108(constB87)), introduced(assumption)).
% 48.97/32.06 tff(13314,plain,
% 48.97/32.06 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB87) | (~v112(constB87)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB87) | (~v112(constB87)))),
% 48.97/32.06 inference(rewrite,[status(thm)],[])).
% 48.97/32.06 tff(13315,plain,
% 48.97/32.06 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB87) | (~v112(constB87)))),
% 48.97/32.06 inference(quant_inst,[status(thm)],[])).
% 48.97/32.06 tff(13316,plain,
% 48.97/32.06 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB87) | (~v112(constB87))),
% 48.97/32.06 inference(modus_ponens,[status(thm)],[13315, 13314])).
% 48.97/32.06 tff(13317,plain,
% 48.97/32.06 (~v112(constB87)),
% 48.97/32.06 inference(unit_resolution,[status(thm)],[13316, 236, 13313])).
% 48.97/32.06 tff(13318,plain,
% 48.97/32.06 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB87) | (~v26(constB87)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB87) | (~v26(constB87)))),
% 48.97/32.06 inference(rewrite,[status(thm)],[])).
% 48.97/32.06 tff(13319,plain,
% 48.97/32.06 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB87) | (~v26(constB87)))),
% 48.97/32.06 inference(quant_inst,[status(thm)],[])).
% 48.97/32.06 tff(13320,plain,
% 48.97/32.06 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB87) | (~v26(constB87))),
% 48.97/32.06 inference(modus_ponens,[status(thm)],[13319, 13318])).
% 48.97/32.06 tff(13321,plain,
% 48.97/32.06 (~v26(constB87)),
% 48.97/32.06 inference(unit_resolution,[status(thm)],[13320, 961, 13313])).
% 48.97/32.06 tff(13322,assumption,(v113(constB87)), introduced(assumption)).
% 48.97/32.06 tff(13323,plain,
% 48.97/32.06 (((~![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)))),
% 48.97/32.06 inference(rewrite,[status(thm)],[])).
% 48.97/32.06 tff(13324,plain,
% 48.97/32.06 ((v26(constB87) | (~v113(constB87)) | v112(constB87)) <=> (v26(constB87) | v112(constB87) | (~v113(constB87)))),
% 48.97/32.06 inference(rewrite,[status(thm)],[])).
% 48.97/32.06 tff(13325,plain,
% 48.97/32.06 (((~![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))))),
% 48.97/32.06 inference(monotonicity,[status(thm)],[13324])).
% 48.97/32.06 tff(13326,plain,
% 48.97/32.06 (((~![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)))),
% 48.97/32.06 inference(transitivity,[status(thm)],[13325, 13323])).
% 48.97/32.06 tff(13327,plain,
% 48.97/32.06 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB87) | (~v113(constB87)) | v112(constB87))),
% 48.97/32.06 inference(quant_inst,[status(thm)],[])).
% 48.97/32.06 tff(13328,plain,
% 48.97/32.06 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB87) | v112(constB87) | (~v113(constB87))),
% 48.97/32.06 inference(modus_ponens,[status(thm)],[13327, 13326])).
% 48.97/32.06 tff(13329,plain,
% 48.97/32.06 (v26(constB87) | v112(constB87)),
% 48.97/32.06 inference(unit_resolution,[status(thm)],[13328, 224, 13322])).
% 48.97/32.06 tff(13330,plain,
% 48.97/32.06 ($false),
% 48.97/32.06 inference(unit_resolution,[status(thm)],[13329, 13321, 13317])).
% 48.97/32.06 tff(13331,plain,(v108(constB87) | (~v113(constB87))), inference(lemma,lemma(discharge,[]))).
% 48.97/32.06 tff(13332,plain,
% 48.97/32.06 (v108(constB87)),
% 48.97/32.06 inference(unit_resolution,[status(thm)],[13331, 13312])).
% 48.97/32.06 tff(13333,plain,
% 48.97/32.06 (((~![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)))),
% 48.97/32.06 inference(rewrite,[status(thm)],[])).
% 48.97/32.06 tff(13334,plain,
% 48.97/32.06 (((~nextState(constB87, constB88)) | (~v108(constB87)) | v110(constB88)) <=> ((~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87)))),
% 48.97/32.06 inference(rewrite,[status(thm)],[])).
% 48.97/32.06 tff(13335,plain,
% 48.97/32.06 (((~![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))))),
% 48.97/32.06 inference(monotonicity,[status(thm)],[13334])).
% 48.97/32.06 tff(13336,plain,
% 48.97/32.06 (((~![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)))),
% 48.97/32.06 inference(transitivity,[status(thm)],[13335, 13333])).
% 48.97/32.07 tff(13337,plain,
% 48.97/32.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB87, constB88)) | (~v108(constB87)) | v110(constB88))),
% 48.97/32.07 inference(quant_inst,[status(thm)],[])).
% 48.97/32.07 tff(13338,plain,
% 48.97/32.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87))),
% 48.97/32.07 inference(modus_ponens,[status(thm)],[13337, 13336])).
% 48.97/32.07 tff(13339,plain,
% 48.97/32.07 (v110(constB88) | (~v108(constB87))),
% 48.97/32.07 inference(unit_resolution,[status(thm)],[13338, 253, 13283])).
% 48.97/32.07 tff(13340,plain,
% 48.97/32.07 (v110(constB88)),
% 48.97/32.07 inference(unit_resolution,[status(thm)],[13339, 13332])).
% 48.97/32.07 tff(13341,plain,
% 48.97/32.07 (((~![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)))),
% 48.97/32.07 inference(rewrite,[status(thm)],[])).
% 48.97/32.07 tff(13342,plain,
% 48.97/32.07 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB87) | (~nextState(constB87, constB88)) | (~v104(constB88)))),
% 48.97/32.07 inference(quant_inst,[status(thm)],[])).
% 48.97/32.07 tff(13343,plain,
% 48.97/32.07 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB87) | (~nextState(constB87, constB88)) | (~v104(constB88))),
% 48.97/32.07 inference(modus_ponens,[status(thm)],[13342, 13341])).
% 48.97/32.07 tff(13344,plain,
% 48.97/32.07 (~v104(constB88)),
% 48.97/32.07 inference(unit_resolution,[status(thm)],[13343, 271, 13283, 13169])).
% 48.97/32.07 tff(13345,plain,
% 48.97/32.07 (((~![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))),
% 48.97/32.07 inference(rewrite,[status(thm)],[])).
% 48.97/32.07 tff(13346,plain,
% 48.97/32.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB87, constB88)) | v102(constB88) | v104(constB88))),
% 48.97/32.07 inference(quant_inst,[status(thm)],[])).
% 48.97/32.07 tff(13347,plain,
% 48.97/32.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB87, constB88)) | v102(constB88) | v104(constB88)),
% 48.97/32.07 inference(modus_ponens,[status(thm)],[13346, 13345])).
% 48.97/32.07 tff(13348,plain,
% 48.97/32.07 (v102(constB88) | v104(constB88)),
% 48.97/32.07 inference(unit_resolution,[status(thm)],[13347, 285, 13283])).
% 48.97/32.07 tff(13349,plain,
% 48.97/32.07 (v102(constB88)),
% 48.97/32.07 inference(unit_resolution,[status(thm)],[13348, 13344])).
% 48.97/32.07 tff(13350,plain,
% 48.97/32.07 (v1(constB88) <=> v1(constB88)),
% 48.97/32.07 inference(rewrite,[status(thm)],[])).
% 48.97/32.07 tff(13351,axiom,(v1(constB88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_88_1')).
% 48.97/32.07 tff(13352,plain,
% 48.97/32.07 (v1(constB88)),
% 48.97/32.07 inference(modus_ponens,[status(thm)],[13351, 13350])).
% 48.97/32.07 tff(13353,plain,
% 48.97/32.07 (((~![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)))),
% 48.97/32.07 inference(rewrite,[status(thm)],[])).
% 48.97/32.07 tff(13354,plain,
% 48.97/32.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB87, constB88)) | v101(constB88) | (~v102(constB88)) | (~v1(constB88)))),
% 48.97/32.07 inference(quant_inst,[status(thm)],[])).
% 48.97/32.07 tff(13355,plain,
% 48.97/32.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB87, constB88)) | v101(constB88) | (~v102(constB88)) | (~v1(constB88))),
% 48.97/32.07 inference(modus_ponens,[status(thm)],[13354, 13353])).
% 48.97/32.07 tff(13356,plain,
% 48.97/32.07 (v101(constB88) | (~v102(constB88))),
% 48.97/32.07 inference(unit_resolution,[status(thm)],[13355, 303, 13283, 13352])).
% 48.97/32.07 tff(13357,plain,
% 48.97/32.07 (v101(constB88)),
% 48.97/32.07 inference(unit_resolution,[status(thm)],[13356, 13349])).
% 48.97/32.07 tff(13358,plain,
% 48.97/32.07 (((~![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)))),
% 48.97/32.07 inference(rewrite,[status(thm)],[])).
% 48.97/32.07 tff(13359,plain,
% 48.97/32.07 (((~nextState(constB87, constB88)) | (~v101(constB88)) | (~v110(constB88)) | v100(constB88)) <=> ((~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88)))),
% 48.97/32.07 inference(rewrite,[status(thm)],[])).
% 48.97/32.07 tff(13360,plain,
% 48.97/32.07 (((~![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))))),
% 48.97/32.07 inference(monotonicity,[status(thm)],[13359])).
% 48.97/32.07 tff(13361,plain,
% 48.97/32.07 (((~![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)))),
% 48.97/32.07 inference(transitivity,[status(thm)],[13360, 13358])).
% 48.97/32.07 tff(13362,plain,
% 48.97/32.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB87, constB88)) | (~v101(constB88)) | (~v110(constB88)) | v100(constB88))),
% 48.97/32.07 inference(quant_inst,[status(thm)],[])).
% 48.97/32.07 tff(13363,plain,
% 48.97/32.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88))),
% 48.97/32.07 inference(modus_ponens,[status(thm)],[13362, 13361])).
% 48.97/32.07 tff(13364,plain,
% 48.97/32.07 (v100(constB88) | (~v101(constB88)) | (~v110(constB88))),
% 48.97/32.07 inference(unit_resolution,[status(thm)],[13363, 318, 13283])).
% 48.97/32.07 tff(13365,plain,
% 48.97/32.07 (v100(constB88) | (~v110(constB88))),
% 48.97/32.07 inference(unit_resolution,[status(thm)],[13364, 13357])).
% 48.97/32.07 tff(13366,plain,
% 48.97/32.07 (v100(constB88)),
% 48.97/32.07 inference(unit_resolution,[status(thm)],[13365, 13340])).
% 48.97/32.07 tff(13367,plain,
% 48.97/32.07 (((~![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)))),
% 48.97/32.07 inference(rewrite,[status(thm)],[])).
% 48.97/32.07 tff(13368,plain,
% 48.97/32.07 ((v90(constB88, bitIndex1) | (~v100(constB88)) | (~v129(constB88, bitIndex1))) <=> (v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1)) | (~v100(constB88)))),
% 48.97/32.07 inference(rewrite,[status(thm)],[])).
% 48.97/32.07 tff(13369,plain,
% 48.97/32.07 (((~![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))))),
% 48.97/32.07 inference(monotonicity,[status(thm)],[13368])).
% 48.97/32.07 tff(13370,plain,
% 48.97/32.07 (((~![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)))),
% 48.97/32.07 inference(transitivity,[status(thm)],[13369, 13367])).
% 48.97/32.07 tff(13371,plain,
% 48.97/32.07 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB88, bitIndex1) | (~v100(constB88)) | (~v129(constB88, bitIndex1)))),
% 48.97/32.07 inference(quant_inst,[status(thm)],[])).
% 48.97/32.07 tff(13372,plain,
% 48.97/32.07 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1)) | (~v100(constB88))),
% 48.97/32.07 inference(modus_ponens,[status(thm)],[13371, 13370])).
% 48.97/32.07 tff(13373,plain,
% 48.97/32.07 (v90(constB88, bitIndex1) | (~v129(constB88, bitIndex1))),
% 48.97/32.07 inference(unit_resolution,[status(thm)],[13372, 711, 13366])).
% 48.97/32.07 tff(13374,plain,
% 48.97/32.07 (v90(constB88, bitIndex1)),
% 48.97/32.07 inference(unit_resolution,[status(thm)],[13373, 13288])).
% 48.97/32.07 tff(13375,plain,
% 48.97/32.07 ((~v1(constB89)) <=> (~v1(constB89))),
% 48.97/32.07 inference(rewrite,[status(thm)],[])).
% 48.97/32.07 tff(13376,axiom,(~v1(constB89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_89_1_1')).
% 48.97/32.07 tff(13377,plain,
% 48.97/32.07 (~v1(constB89)),
% 48.97/32.07 inference(modus_ponens,[status(thm)],[13376, 13375])).
% 48.97/32.07 tff(13378,plain,
% 48.97/32.07 (nextState(constB88, constB89) <=> nextState(constB88, constB89)),
% 48.97/32.07 inference(rewrite,[status(thm)],[])).
% 48.97/32.07 tff(13379,axiom,(nextState(constB88, constB89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_88_1')).
% 48.97/32.07 tff(13380,plain,
% 48.97/32.07 (nextState(constB88, constB89)),
% 48.97/32.07 inference(modus_ponens,[status(thm)],[13379, 13378])).
% 48.97/32.07 tff(13381,plain,
% 48.97/32.07 (((~![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)))),
% 48.97/32.07 inference(rewrite,[status(thm)],[])).
% 48.97/32.07 tff(13382,plain,
% 48.97/32.07 (((~nextState(constB88, constB89)) | (~v101(constB89)) | v1(constB89)) <=> (v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89)))),
% 48.97/32.07 inference(rewrite,[status(thm)],[])).
% 48.97/32.07 tff(13383,plain,
% 48.97/32.07 (((~![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))))),
% 48.97/32.07 inference(monotonicity,[status(thm)],[13382])).
% 48.97/32.07 tff(13384,plain,
% 48.97/32.07 (((~![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)))),
% 48.97/32.07 inference(transitivity,[status(thm)],[13383, 13381])).
% 48.97/32.07 tff(13385,plain,
% 48.97/32.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB88, constB89)) | (~v101(constB89)) | v1(constB89))),
% 48.97/32.07 inference(quant_inst,[status(thm)],[])).
% 48.97/32.07 tff(13386,plain,
% 48.97/32.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89))),
% 48.97/32.07 inference(modus_ponens,[status(thm)],[13385, 13384])).
% 48.97/32.07 tff(13387,plain,
% 48.97/32.07 (~v101(constB89)),
% 48.97/32.07 inference(unit_resolution,[status(thm)],[13386, 49, 13380, 13377])).
% 48.97/32.07 tff(13388,plain,
% 48.97/32.07 (((~![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)))),
% 48.97/32.07 inference(rewrite,[status(thm)],[])).
% 48.97/32.07 tff(13389,plain,
% 48.97/32.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB88, constB89)) | v101(constB89) | (~v100(constB89)))),
% 48.97/32.07 inference(quant_inst,[status(thm)],[])).
% 48.97/32.07 tff(13390,plain,
% 48.97/32.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB88, constB89)) | v101(constB89) | (~v100(constB89))),
% 48.97/32.07 inference(modus_ponens,[status(thm)],[13389, 13388])).
% 48.97/32.07 tff(13391,plain,
% 48.97/32.07 (v101(constB89) | (~v100(constB89))),
% 48.97/32.07 inference(unit_resolution,[status(thm)],[13390, 66, 13380])).
% 48.97/32.07 tff(13392,plain,
% 48.97/32.07 (~v100(constB89)),
% 48.97/32.07 inference(unit_resolution,[status(thm)],[13391, 13387])).
% 48.97/32.07 tff(13393,plain,
% 48.97/32.07 (((~![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))),
% 48.97/32.07 inference(rewrite,[status(thm)],[])).
% 48.97/32.07 tff(13394,plain,
% 48.97/32.07 (((~nextState(constB88, constB89)) | (~v90(constB88, bitIndex1)) | v100(constB89) | v90(constB89, bitIndex1)) <=> ((~v90(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, bitIndex1))),
% 48.97/32.07 inference(rewrite,[status(thm)],[])).
% 48.97/32.07 tff(13395,plain,
% 48.97/32.07 (((~![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)))),
% 48.97/32.07 inference(monotonicity,[status(thm)],[13394])).
% 48.97/32.07 tff(13396,plain,
% 48.97/32.07 (((~![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))),
% 48.97/32.07 inference(transitivity,[status(thm)],[13395, 13393])).
% 48.97/32.07 tff(13397,plain,
% 48.97/32.07 ((~![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))),
% 48.97/32.07 inference(quant_inst,[status(thm)],[])).
% 48.97/32.07 tff(13398,plain,
% 48.97/32.07 ((~![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)),
% 48.97/32.07 inference(modus_ponens,[status(thm)],[13397, 13396])).
% 48.97/32.07 tff(13399,plain,
% 48.97/32.07 ((~v90(constB88, bitIndex1)) | v100(constB89) | v90(constB89, bitIndex1)),
% 48.97/32.07 inference(unit_resolution,[status(thm)],[13398, 747, 13380])).
% 48.97/32.07 tff(13400,plain,
% 48.97/32.07 ((~v90(constB88, bitIndex1)) | v90(constB89, bitIndex1)),
% 48.97/32.07 inference(unit_resolution,[status(thm)],[13399, 13392])).
% 48.97/32.07 tff(13401,plain,
% 48.97/32.07 (v90(constB89, bitIndex1)),
% 48.97/32.07 inference(unit_resolution,[status(thm)],[13400, 13374])).
% 48.97/32.07 tff(13402,assumption,(v127(constB87, bitIndex0)), introduced(assumption)).
% 48.97/32.07 tff(13403,plain,
% 48.97/32.07 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB87)) | (~v130(constB87, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB87)) | (~v130(constB87, bitIndex0)))),
% 48.97/32.07 inference(rewrite,[status(thm)],[])).
% 48.97/32.07 tff(13404,plain,
% 48.97/32.07 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB87)) | (~v130(constB87, bitIndex0)))),
% 48.97/32.07 inference(quant_inst,[status(thm)],[])).
% 48.97/32.07 tff(13405,plain,
% 48.97/32.07 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB87)) | (~v130(constB87, bitIndex0))),
% 48.97/32.07 inference(modus_ponens,[status(thm)],[13404, 13403])).
% 48.97/32.07 tff(13406,plain,
% 48.97/32.07 (~v130(constB87, bitIndex0)),
% 48.97/32.07 inference(unit_resolution,[status(thm)],[13405, 1492, 13271])).
% 48.97/32.07 tff(13407,plain,
% 48.97/32.07 (((~![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))),
% 48.97/32.07 inference(rewrite,[status(thm)],[])).
% 48.97/32.07 tff(13408,plain,
% 48.97/32.07 ((v26(constB87) | v130(constB87, bitIndex0) | (~v127(constB87, bitIndex0))) <=> ((~v127(constB87, bitIndex0)) | v26(constB87) | v130(constB87, bitIndex0))),
% 48.97/32.07 inference(rewrite,[status(thm)],[])).
% 48.97/32.07 tff(13409,plain,
% 48.97/32.07 (((~![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)))),
% 48.97/32.07 inference(monotonicity,[status(thm)],[13408])).
% 48.97/32.07 tff(13410,plain,
% 48.97/32.07 (((~![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))),
% 48.97/32.07 inference(transitivity,[status(thm)],[13409, 13407])).
% 48.97/32.07 tff(13411,plain,
% 48.97/32.07 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB87) | v130(constB87, bitIndex0) | (~v127(constB87, bitIndex0)))),
% 48.97/32.07 inference(quant_inst,[status(thm)],[])).
% 48.97/32.07 tff(13412,plain,
% 48.97/32.07 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB87, bitIndex0)) | v26(constB87) | v130(constB87, bitIndex0)),
% 48.97/32.07 inference(modus_ponens,[status(thm)],[13411, 13410])).
% 48.97/32.07 tff(13413,plain,
% 48.97/32.07 ((~v127(constB87, bitIndex0)) | v26(constB87)),
% 48.97/32.07 inference(unit_resolution,[status(thm)],[13412, 524, 13406])).
% 48.97/32.07 tff(13414,plain,
% 48.97/32.07 (v26(constB87)),
% 48.97/32.07 inference(unit_resolution,[status(thm)],[13413, 13402])).
% 48.97/32.07 tff(13415,plain,
% 48.97/32.07 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB87)) | (~v127(constB87, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB87)) | (~v127(constB87, bitIndex0)))),
% 48.97/32.07 inference(rewrite,[status(thm)],[])).
% 48.97/32.07 tff(13416,plain,
% 48.97/32.07 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB87)) | (~v127(constB87, bitIndex0)))),
% 48.97/32.07 inference(quant_inst,[status(thm)],[])).
% 48.97/32.07 tff(13417,plain,
% 48.97/32.07 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB87)) | (~v127(constB87, bitIndex0))),
% 48.97/32.07 inference(modus_ponens,[status(thm)],[13416, 13415])).
% 48.97/32.07 tff(13418,plain,
% 48.97/32.07 ($false),
% 48.97/32.07 inference(unit_resolution,[status(thm)],[13417, 1514, 13402, 13414])).
% 48.97/32.07 tff(13419,plain,(~v127(constB87, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 48.97/32.07 tff(13420,plain,
% 48.97/32.07 (((~![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)))),
% 48.97/32.07 inference(rewrite,[status(thm)],[])).
% 48.97/32.07 tff(13421,plain,
% 48.97/32.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB87, constB88)) | v127(constB87, bitIndex0) | (~v129(constB88, bitIndex0)))),
% 48.97/32.07 inference(quant_inst,[status(thm)],[])).
% 48.97/32.07 tff(13422,plain,
% 48.97/32.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB87, constB88)) | v127(constB87, bitIndex0) | (~v129(constB88, bitIndex0))),
% 48.97/32.07 inference(modus_ponens,[status(thm)],[13421, 13420])).
% 48.97/32.07 tff(13423,plain,
% 48.97/32.07 (v127(constB87, bitIndex0) | (~v129(constB88, bitIndex0))),
% 48.97/32.07 inference(unit_resolution,[status(thm)],[13422, 542, 13283])).
% 48.97/32.07 tff(13424,plain,
% 48.97/32.07 (~v129(constB88, bitIndex0)),
% 48.97/32.07 inference(unit_resolution,[status(thm)],[13423, 13419])).
% 48.97/32.07 tff(13425,plain,
% 48.97/32.07 (((~![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)))),
% 48.97/32.07 inference(rewrite,[status(thm)],[])).
% 48.97/32.07 tff(13426,plain,
% 48.97/32.07 (((~v90(constB88, bitIndex0)) | (~v100(constB88)) | v129(constB88, bitIndex0)) <=> ((~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0) | (~v100(constB88)))),
% 48.97/32.07 inference(rewrite,[status(thm)],[])).
% 48.97/32.07 tff(13427,plain,
% 48.97/32.07 (((~![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))))),
% 48.97/32.07 inference(monotonicity,[status(thm)],[13426])).
% 48.97/32.07 tff(13428,plain,
% 48.97/32.07 (((~![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)))),
% 48.97/32.07 inference(transitivity,[status(thm)],[13427, 13425])).
% 48.97/32.07 tff(13429,plain,
% 48.97/32.07 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB88, bitIndex0)) | (~v100(constB88)) | v129(constB88, bitIndex0))),
% 48.97/32.07 inference(quant_inst,[status(thm)],[])).
% 48.97/32.07 tff(13430,plain,
% 48.97/32.07 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0) | (~v100(constB88))),
% 48.97/32.07 inference(modus_ponens,[status(thm)],[13429, 13428])).
% 48.97/32.07 tff(13431,plain,
% 48.97/32.07 ((~v90(constB88, bitIndex0)) | v129(constB88, bitIndex0)),
% 48.97/32.07 inference(unit_resolution,[status(thm)],[13430, 557, 13366])).
% 48.97/32.07 tff(13432,plain,
% 48.97/32.07 (~v90(constB88, bitIndex0)),
% 48.97/32.07 inference(unit_resolution,[status(thm)],[13431, 13424])).
% 48.97/32.07 tff(13433,plain,
% 48.97/32.07 (((~![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)))),
% 48.97/32.07 inference(rewrite,[status(thm)],[])).
% 48.97/32.07 tff(13434,plain,
% 48.97/32.07 (((~nextState(constB88, constB89)) | v90(constB88, bitIndex0) | v100(constB89) | (~v90(constB89, bitIndex0))) <=> (v90(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex0)))),
% 48.97/32.07 inference(rewrite,[status(thm)],[])).
% 48.97/32.07 tff(13435,plain,
% 48.97/32.07 (((~![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))))),
% 48.97/32.07 inference(monotonicity,[status(thm)],[13434])).
% 48.97/32.07 tff(13436,plain,
% 48.97/32.07 (((~![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)))),
% 48.97/32.07 inference(transitivity,[status(thm)],[13435, 13433])).
% 48.97/32.07 tff(13437,plain,
% 48.97/32.07 ((~![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)))),
% 48.97/32.07 inference(quant_inst,[status(thm)],[])).
% 48.97/32.07 tff(13438,plain,
% 48.97/32.07 ((~![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))),
% 48.97/32.07 inference(modus_ponens,[status(thm)],[13437, 13436])).
% 48.97/32.07 tff(13439,plain,
% 48.97/32.07 (v90(constB88, bitIndex0) | v100(constB89) | (~v90(constB89, bitIndex0))),
% 48.97/32.07 inference(unit_resolution,[status(thm)],[13438, 123, 13380])).
% 48.97/32.07 tff(13440,plain,
% 48.97/32.07 (v90(constB88, bitIndex0) | (~v90(constB89, bitIndex0))),
% 48.97/32.07 inference(unit_resolution,[status(thm)],[13439, 13392])).
% 48.97/32.07 tff(13441,plain,
% 48.97/32.07 (~v90(constB89, bitIndex0)),
% 48.97/32.07 inference(unit_resolution,[status(thm)],[13440, 13432])).
% 48.97/32.07 tff(13442,assumption,(v127(constB87, bitIndex2)), introduced(assumption)).
% 48.97/32.07 tff(13443,plain,
% 48.97/32.07 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB87)) | (~v130(constB87, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB87)) | (~v130(constB87, bitIndex2)))),
% 48.97/32.07 inference(rewrite,[status(thm)],[])).
% 48.97/32.07 tff(13444,plain,
% 48.97/32.07 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB87)) | (~v130(constB87, bitIndex2)))),
% 48.97/32.07 inference(quant_inst,[status(thm)],[])).
% 48.97/32.07 tff(13445,plain,
% 48.97/32.07 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB87)) | (~v130(constB87, bitIndex2))),
% 48.97/32.07 inference(modus_ponens,[status(thm)],[13444, 13443])).
% 48.97/32.07 tff(13446,plain,
% 48.97/32.07 (~v130(constB87, bitIndex2)),
% 48.97/32.07 inference(unit_resolution,[status(thm)],[13445, 1383, 13271])).
% 48.97/32.07 tff(13447,plain,
% 48.97/32.07 (((~![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))),
% 48.97/32.07 inference(rewrite,[status(thm)],[])).
% 48.97/32.07 tff(13448,plain,
% 48.97/32.07 ((v26(constB87) | v130(constB87, bitIndex2) | (~v127(constB87, bitIndex2))) <=> ((~v127(constB87, bitIndex2)) | v26(constB87) | v130(constB87, bitIndex2))),
% 48.97/32.07 inference(rewrite,[status(thm)],[])).
% 48.97/32.07 tff(13449,plain,
% 48.97/32.07 (((~![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)))),
% 48.97/32.07 inference(monotonicity,[status(thm)],[13448])).
% 48.97/32.07 tff(13450,plain,
% 48.97/32.07 (((~![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))),
% 48.97/32.07 inference(transitivity,[status(thm)],[13449, 13447])).
% 48.97/32.07 tff(13451,plain,
% 48.97/32.07 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB87) | v130(constB87, bitIndex2) | (~v127(constB87, bitIndex2)))),
% 48.97/32.07 inference(quant_inst,[status(thm)],[])).
% 48.97/32.07 tff(13452,plain,
% 48.97/32.07 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB87, bitIndex2)) | v26(constB87) | v130(constB87, bitIndex2)),
% 48.97/32.07 inference(modus_ponens,[status(thm)],[13451, 13450])).
% 48.97/32.07 tff(13453,plain,
% 48.97/32.07 ((~v127(constB87, bitIndex2)) | v26(constB87)),
% 48.97/32.07 inference(unit_resolution,[status(thm)],[13452, 1210, 13446])).
% 48.97/32.07 tff(13454,plain,
% 48.97/32.07 (v26(constB87)),
% 48.97/32.07 inference(unit_resolution,[status(thm)],[13453, 13442])).
% 48.97/32.07 tff(13455,plain,
% 48.97/32.07 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB87)) | (~v127(constB87, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB87)) | (~v127(constB87, bitIndex2)))),
% 48.97/32.07 inference(rewrite,[status(thm)],[])).
% 48.97/32.07 tff(13456,plain,
% 48.97/32.07 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB87)) | (~v127(constB87, bitIndex2)))),
% 48.97/32.07 inference(quant_inst,[status(thm)],[])).
% 48.97/32.07 tff(13457,plain,
% 48.97/32.07 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB87)) | (~v127(constB87, bitIndex2))),
% 48.97/32.07 inference(modus_ponens,[status(thm)],[13456, 13455])).
% 48.97/32.07 tff(13458,plain,
% 48.97/32.07 ($false),
% 48.97/32.07 inference(unit_resolution,[status(thm)],[13457, 1228, 13442, 13454])).
% 48.97/32.07 tff(13459,plain,(~v127(constB87, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 48.97/32.07 tff(13460,plain,
% 48.97/32.07 (((~![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)))),
% 48.97/32.07 inference(rewrite,[status(thm)],[])).
% 48.97/32.07 tff(13461,plain,
% 48.97/32.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB87, constB88)) | v127(constB87, bitIndex2) | (~v129(constB88, bitIndex2)))),
% 48.97/32.07 inference(quant_inst,[status(thm)],[])).
% 48.97/32.07 tff(13462,plain,
% 48.97/32.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB87, constB88)) | v127(constB87, bitIndex2) | (~v129(constB88, bitIndex2))),
% 48.97/32.07 inference(modus_ponens,[status(thm)],[13461, 13460])).
% 48.97/32.07 tff(13463,plain,
% 48.97/32.07 (v127(constB87, bitIndex2) | (~v129(constB88, bitIndex2))),
% 48.97/32.07 inference(unit_resolution,[status(thm)],[13462, 1243, 13283])).
% 48.97/32.07 tff(13464,plain,
% 48.97/32.07 (~v129(constB88, bitIndex2)),
% 48.97/32.07 inference(unit_resolution,[status(thm)],[13463, 13459])).
% 48.97/32.07 tff(13465,plain,
% 48.97/32.07 (((~![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)))),
% 48.97/32.08 inference(rewrite,[status(thm)],[])).
% 48.97/32.08 tff(13466,plain,
% 48.97/32.08 (((~v90(constB88, bitIndex2)) | (~v100(constB88)) | v129(constB88, bitIndex2)) <=> ((~v90(constB88, bitIndex2)) | v129(constB88, bitIndex2) | (~v100(constB88)))),
% 48.97/32.08 inference(rewrite,[status(thm)],[])).
% 48.97/32.08 tff(13467,plain,
% 48.97/32.08 (((~![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))))),
% 48.97/32.08 inference(monotonicity,[status(thm)],[13466])).
% 48.97/32.08 tff(13468,plain,
% 48.97/32.08 (((~![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)))),
% 48.97/32.08 inference(transitivity,[status(thm)],[13467, 13465])).
% 48.97/32.08 tff(13469,plain,
% 48.97/32.08 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB88, bitIndex2)) | (~v100(constB88)) | v129(constB88, bitIndex2))),
% 48.97/32.08 inference(quant_inst,[status(thm)],[])).
% 48.97/32.08 tff(13470,plain,
% 48.97/32.08 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB88, bitIndex2)) | v129(constB88, bitIndex2) | (~v100(constB88))),
% 48.97/32.08 inference(modus_ponens,[status(thm)],[13469, 13468])).
% 48.97/32.08 tff(13471,plain,
% 48.97/32.08 ((~v90(constB88, bitIndex2)) | v129(constB88, bitIndex2)),
% 48.97/32.08 inference(unit_resolution,[status(thm)],[13470, 1258, 13366])).
% 48.97/32.08 tff(13472,plain,
% 48.97/32.08 (~v90(constB88, bitIndex2)),
% 48.97/32.08 inference(unit_resolution,[status(thm)],[13471, 13464])).
% 48.97/32.08 tff(13473,plain,
% 48.97/32.08 (((~![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)))),
% 48.97/32.08 inference(rewrite,[status(thm)],[])).
% 48.97/32.08 tff(13474,plain,
% 48.97/32.08 (((~nextState(constB88, constB89)) | v90(constB88, bitIndex2) | v100(constB89) | (~v90(constB89, bitIndex2))) <=> (v90(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, bitIndex2)))),
% 48.97/32.08 inference(rewrite,[status(thm)],[])).
% 48.97/32.08 tff(13475,plain,
% 48.97/32.08 (((~![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))))),
% 48.97/32.08 inference(monotonicity,[status(thm)],[13474])).
% 48.97/32.08 tff(13476,plain,
% 48.97/32.08 (((~![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)))),
% 48.97/32.08 inference(transitivity,[status(thm)],[13475, 13473])).
% 48.97/32.08 tff(13477,plain,
% 48.97/32.08 ((~![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)))),
% 48.97/32.08 inference(quant_inst,[status(thm)],[])).
% 48.97/32.08 tff(13478,plain,
% 48.97/32.08 ((~![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))),
% 48.97/32.08 inference(modus_ponens,[status(thm)],[13477, 13476])).
% 48.97/32.08 tff(13479,plain,
% 48.97/32.08 (v90(constB88, bitIndex2) | v100(constB89) | (~v90(constB89, bitIndex2))),
% 48.97/32.08 inference(unit_resolution,[status(thm)],[13478, 81, 13380])).
% 48.97/32.08 tff(13480,plain,
% 48.97/32.08 (v90(constB88, bitIndex2) | (~v90(constB89, bitIndex2))),
% 48.97/32.08 inference(unit_resolution,[status(thm)],[13479, 13392])).
% 48.97/32.08 tff(13481,plain,
% 48.97/32.08 (~v90(constB89, bitIndex2)),
% 48.97/32.08 inference(unit_resolution,[status(thm)],[13480, 13472])).
% 48.97/32.08 tff(13482,plain,
% 48.97/32.08 (((~![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))),
% 48.97/32.08 inference(rewrite,[status(thm)],[])).
% 48.97/32.08 tff(13483,plain,
% 48.97/32.08 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex2) | v121(constB89))),
% 48.97/32.08 inference(quant_inst,[status(thm)],[])).
% 48.97/32.08 tff(13484,plain,
% 48.97/32.08 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex2) | v121(constB89)),
% 48.97/32.08 inference(modus_ponens,[status(thm)],[13483, 13482])).
% 48.97/32.08 tff(13485,plain,
% 48.97/32.08 (v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1)) | v121(constB89)),
% 48.97/32.08 inference(unit_resolution,[status(thm)],[13484, 1551, 13481])).
% 48.97/32.08 tff(13486,plain,
% 48.97/32.08 ((~v90(constB89, bitIndex1)) | v121(constB89)),
% 48.97/32.08 inference(unit_resolution,[status(thm)],[13485, 13441])).
% 48.97/32.08 tff(13487,plain,
% 48.97/32.08 (v121(constB89)),
% 48.97/32.08 inference(unit_resolution,[status(thm)],[13486, 13401])).
% 48.97/32.08 tff(13488,plain,
% 48.97/32.08 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB89)) | (~v130(constB89, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB89)) | (~v130(constB89, bitIndex2)))),
% 48.97/32.08 inference(rewrite,[status(thm)],[])).
% 48.97/32.08 tff(13489,plain,
% 48.97/32.08 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB89)) | (~v130(constB89, bitIndex2)))),
% 48.97/32.08 inference(quant_inst,[status(thm)],[])).
% 48.97/32.08 tff(13490,plain,
% 48.97/32.08 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB89)) | (~v130(constB89, bitIndex2))),
% 48.97/32.08 inference(modus_ponens,[status(thm)],[13489, 13488])).
% 48.97/32.08 tff(13491,plain,
% 48.97/32.08 (~v130(constB89, bitIndex2)),
% 48.97/32.08 inference(unit_resolution,[status(thm)],[13490, 1645, 13487])).
% 48.97/32.08 tff(13492,assumption,(v26(constB89)), introduced(assumption)).
% 48.97/32.08 tff(13493,plain,
% 48.97/32.08 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB89))),
% 48.97/32.08 inference(quant_inst,[status(thm)],[])).
% 48.97/32.08 tff(13494,plain,
% 48.97/32.08 ($false),
% 48.97/32.08 inference(unit_resolution,[status(thm)],[13493, 16, 13492])).
% 48.97/32.08 tff(13495,plain,(~v26(constB89)), inference(lemma,lemma(discharge,[]))).
% 48.97/32.08 tff(13496,plain,
% 48.97/32.08 (((~![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))),
% 48.97/32.08 inference(rewrite,[status(thm)],[])).
% 48.97/32.08 tff(13497,plain,
% 48.97/32.08 ((v26(constB89) | v130(constB89, bitIndex2) | (~v127(constB89, bitIndex2))) <=> ((~v127(constB89, bitIndex2)) | v26(constB89) | v130(constB89, bitIndex2))),
% 48.97/32.08 inference(rewrite,[status(thm)],[])).
% 48.97/32.08 tff(13498,plain,
% 48.97/32.08 (((~![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)))),
% 48.97/32.08 inference(monotonicity,[status(thm)],[13497])).
% 48.97/32.08 tff(13499,plain,
% 48.97/32.08 (((~![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))),
% 48.97/32.08 inference(transitivity,[status(thm)],[13498, 13496])).
% 48.97/32.08 tff(13500,plain,
% 48.97/32.08 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB89) | v130(constB89, bitIndex2) | (~v127(constB89, bitIndex2)))),
% 48.97/32.08 inference(quant_inst,[status(thm)],[])).
% 48.97/32.08 tff(13501,plain,
% 48.97/32.08 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB89, bitIndex2)) | v26(constB89) | v130(constB89, bitIndex2)),
% 48.97/32.08 inference(modus_ponens,[status(thm)],[13500, 13499])).
% 48.97/32.08 tff(13502,plain,
% 48.97/32.08 ((~v127(constB89, bitIndex2)) | v130(constB89, bitIndex2)),
% 48.97/32.08 inference(unit_resolution,[status(thm)],[13501, 1210, 13495])).
% 48.97/32.08 tff(13503,plain,
% 48.97/32.08 (~v127(constB89, bitIndex2)),
% 48.97/32.08 inference(unit_resolution,[status(thm)],[13502, 13491])).
% 48.97/32.08 tff(13504,plain,
% 48.97/32.08 (nextState(constB89, constB90) <=> nextState(constB89, constB90)),
% 48.97/32.08 inference(rewrite,[status(thm)],[])).
% 48.97/32.08 tff(13505,axiom,(nextState(constB89, constB90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_89_1')).
% 48.97/32.08 tff(13506,plain,
% 48.97/32.08 (nextState(constB89, constB90)),
% 48.97/32.08 inference(modus_ponens,[status(thm)],[13505, 13504])).
% 48.97/32.08 tff(13507,plain,
% 48.97/32.08 (((~![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)))),
% 48.97/32.08 inference(rewrite,[status(thm)],[])).
% 48.97/32.08 tff(13508,plain,
% 48.97/32.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB89, constB90)) | v127(constB89, bitIndex2) | (~v129(constB90, bitIndex2)))),
% 48.97/32.08 inference(quant_inst,[status(thm)],[])).
% 48.97/32.08 tff(13509,plain,
% 48.97/32.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB89, constB90)) | v127(constB89, bitIndex2) | (~v129(constB90, bitIndex2))),
% 48.97/32.08 inference(modus_ponens,[status(thm)],[13508, 13507])).
% 48.97/32.08 tff(13510,plain,
% 48.97/32.08 (v127(constB89, bitIndex2) | (~v129(constB90, bitIndex2))),
% 48.97/32.08 inference(unit_resolution,[status(thm)],[13509, 1243, 13506])).
% 48.97/32.08 tff(13511,plain,
% 48.97/32.08 (~v129(constB90, bitIndex2)),
% 48.97/32.08 inference(unit_resolution,[status(thm)],[13510, 13503])).
% 48.97/32.08 tff(13512,assumption,(~v100(constB90)), introduced(assumption)).
% 48.97/32.08 tff(13513,assumption,(~v90(constB90, bitIndex2)), introduced(assumption)).
% 48.97/32.08 tff(13514,plain,
% 48.97/32.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB89, bitIndex2)) | (~nextState(constB89, constB90)) | v100(constB90) | v90(constB90, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB89, bitIndex2)) | (~nextState(constB89, constB90)) | v100(constB90) | v90(constB90, bitIndex2))),
% 48.97/32.08 inference(rewrite,[status(thm)],[])).
% 48.97/32.08 tff(13515,plain,
% 48.97/32.08 (((~nextState(constB89, constB90)) | (~v90(constB89, bitIndex2)) | v100(constB90) | v90(constB90, bitIndex2)) <=> ((~v90(constB89, bitIndex2)) | (~nextState(constB89, constB90)) | v100(constB90) | v90(constB90, bitIndex2))),
% 48.97/32.08 inference(rewrite,[status(thm)],[])).
% 48.97/32.08 tff(13516,plain,
% 48.97/32.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB89, constB90)) | (~v90(constB89, bitIndex2)) | v100(constB90) | v90(constB90, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB89, bitIndex2)) | (~nextState(constB89, constB90)) | v100(constB90) | v90(constB90, bitIndex2)))),
% 48.97/32.08 inference(monotonicity,[status(thm)],[13515])).
% 48.97/32.08 tff(13517,plain,
% 48.97/32.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB89, constB90)) | (~v90(constB89, bitIndex2)) | v100(constB90) | v90(constB90, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB89, bitIndex2)) | (~nextState(constB89, constB90)) | v100(constB90) | v90(constB90, bitIndex2))),
% 48.97/32.08 inference(transitivity,[status(thm)],[13516, 13514])).
% 48.97/32.08 tff(13518,plain,
% 48.97/32.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB89, constB90)) | (~v90(constB89, bitIndex2)) | v100(constB90) | v90(constB90, bitIndex2))),
% 48.97/32.08 inference(quant_inst,[status(thm)],[])).
% 48.97/32.08 tff(13519,plain,
% 48.97/32.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB89, bitIndex2)) | (~nextState(constB89, constB90)) | v100(constB90) | v90(constB90, bitIndex2)),
% 48.97/32.08 inference(modus_ponens,[status(thm)],[13518, 13517])).
% 48.97/32.08 tff(13520,plain,
% 48.97/32.08 ((~v90(constB89, bitIndex2)) | v100(constB90) | v90(constB90, bitIndex2)),
% 48.97/32.08 inference(unit_resolution,[status(thm)],[13519, 417, 13506])).
% 48.97/32.08 tff(13521,plain,
% 48.97/32.08 (~v90(constB89, bitIndex2)),
% 48.97/32.08 inference(unit_resolution,[status(thm)],[13520, 13513, 13512])).
% 48.97/32.08 tff(13522,assumption,(~v90(constB90, bitIndex1)), introduced(assumption)).
% 48.97/32.08 tff(13523,plain,
% 48.97/32.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB89, bitIndex1)) | (~nextState(constB89, constB90)) | v100(constB90) | v90(constB90, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB89, bitIndex1)) | (~nextState(constB89, constB90)) | v100(constB90) | v90(constB90, bitIndex1))),
% 48.97/32.08 inference(rewrite,[status(thm)],[])).
% 48.97/32.08 tff(13524,plain,
% 48.97/32.08 (((~nextState(constB89, constB90)) | (~v90(constB89, bitIndex1)) | v100(constB90) | v90(constB90, bitIndex1)) <=> ((~v90(constB89, bitIndex1)) | (~nextState(constB89, constB90)) | v100(constB90) | v90(constB90, bitIndex1))),
% 48.97/32.08 inference(rewrite,[status(thm)],[])).
% 48.97/32.08 tff(13525,plain,
% 48.97/32.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB89, constB90)) | (~v90(constB89, bitIndex1)) | v100(constB90) | v90(constB90, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB89, bitIndex1)) | (~nextState(constB89, constB90)) | v100(constB90) | v90(constB90, bitIndex1)))),
% 48.97/32.08 inference(monotonicity,[status(thm)],[13524])).
% 48.97/32.08 tff(13526,plain,
% 48.97/32.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB89, constB90)) | (~v90(constB89, bitIndex1)) | v100(constB90) | v90(constB90, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB89, bitIndex1)) | (~nextState(constB89, constB90)) | v100(constB90) | v90(constB90, bitIndex1))),
% 48.97/32.08 inference(transitivity,[status(thm)],[13525, 13523])).
% 48.97/32.08 tff(13527,plain,
% 48.97/32.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB89, constB90)) | (~v90(constB89, bitIndex1)) | v100(constB90) | v90(constB90, bitIndex1))),
% 48.97/32.08 inference(quant_inst,[status(thm)],[])).
% 48.97/32.08 tff(13528,plain,
% 48.97/32.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB89, bitIndex1)) | (~nextState(constB89, constB90)) | v100(constB90) | v90(constB90, bitIndex1)),
% 48.97/32.08 inference(modus_ponens,[status(thm)],[13527, 13526])).
% 48.97/32.08 tff(13529,plain,
% 48.97/32.08 ((~v90(constB89, bitIndex1)) | v100(constB90) | v90(constB90, bitIndex1)),
% 48.97/32.08 inference(unit_resolution,[status(thm)],[13528, 747, 13506])).
% 48.97/32.08 tff(13530,plain,
% 48.97/32.08 (~v90(constB89, bitIndex1)),
% 48.97/32.08 inference(unit_resolution,[status(thm)],[13529, 13522, 13512])).
% 48.97/32.08 tff(13531,plain,
% 48.97/32.08 (((~![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)))),
% 48.97/32.08 inference(rewrite,[status(thm)],[])).
% 48.97/32.08 tff(13532,plain,
% 48.97/32.08 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB89) | (~nextState(constB89, constB90)) | (~v104(constB90)))),
% 48.97/32.08 inference(quant_inst,[status(thm)],[])).
% 48.97/32.08 tff(13533,plain,
% 48.97/32.08 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB89) | (~nextState(constB89, constB90)) | (~v104(constB90))),
% 48.97/32.08 inference(modus_ponens,[status(thm)],[13532, 13531])).
% 48.97/32.08 tff(13534,plain,
% 48.97/32.08 (~v104(constB90)),
% 48.97/32.08 inference(unit_resolution,[status(thm)],[13533, 271, 13506, 13377])).
% 48.97/32.08 tff(13535,plain,
% 48.97/32.08 (((~![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))),
% 48.97/32.08 inference(rewrite,[status(thm)],[])).
% 48.97/32.08 tff(13536,plain,
% 48.97/32.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB89, constB90)) | v102(constB90) | v104(constB90))),
% 48.97/32.08 inference(quant_inst,[status(thm)],[])).
% 48.97/32.08 tff(13537,plain,
% 48.97/32.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB89, constB90)) | v102(constB90) | v104(constB90)),
% 48.97/32.08 inference(modus_ponens,[status(thm)],[13536, 13535])).
% 48.97/32.08 tff(13538,plain,
% 48.97/32.08 (v102(constB90) | v104(constB90)),
% 48.97/32.08 inference(unit_resolution,[status(thm)],[13537, 285, 13506])).
% 48.97/32.08 tff(13539,plain,
% 48.97/32.08 (v102(constB90)),
% 48.97/32.08 inference(unit_resolution,[status(thm)],[13538, 13534])).
% 48.97/32.08 tff(13540,plain,
% 48.97/32.08 (v1(constB90) <=> v1(constB90)),
% 48.97/32.08 inference(rewrite,[status(thm)],[])).
% 48.97/32.08 tff(13541,axiom,(v1(constB90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_90_1')).
% 48.97/32.08 tff(13542,plain,
% 48.97/32.08 (v1(constB90)),
% 48.97/32.08 inference(modus_ponens,[status(thm)],[13541, 13540])).
% 48.97/32.08 tff(13543,plain,
% 48.97/32.08 (((~![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)))),
% 48.97/32.08 inference(rewrite,[status(thm)],[])).
% 48.97/32.08 tff(13544,plain,
% 48.97/32.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB89, constB90)) | v101(constB90) | (~v102(constB90)) | (~v1(constB90)))),
% 48.97/32.08 inference(quant_inst,[status(thm)],[])).
% 48.97/32.08 tff(13545,plain,
% 48.97/32.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB89, constB90)) | v101(constB90) | (~v102(constB90)) | (~v1(constB90))),
% 48.97/32.08 inference(modus_ponens,[status(thm)],[13544, 13543])).
% 48.97/32.08 tff(13546,plain,
% 48.97/32.08 (v101(constB90) | (~v102(constB90))),
% 48.97/32.08 inference(unit_resolution,[status(thm)],[13545, 303, 13506, 13542])).
% 48.97/32.08 tff(13547,plain,
% 48.97/32.08 (v101(constB90)),
% 48.97/32.08 inference(unit_resolution,[status(thm)],[13546, 13539])).
% 48.97/32.08 tff(13548,plain,
% 48.97/32.08 (((~![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)))),
% 48.97/32.08 inference(rewrite,[status(thm)],[])).
% 48.97/32.08 tff(13549,plain,
% 48.97/32.08 (((~nextState(constB89, constB90)) | (~v101(constB90)) | (~v110(constB90)) | v100(constB90)) <=> ((~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90)))),
% 48.97/32.08 inference(rewrite,[status(thm)],[])).
% 48.97/32.08 tff(13550,plain,
% 48.97/32.08 (((~![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))))),
% 48.97/32.08 inference(monotonicity,[status(thm)],[13549])).
% 48.97/32.08 tff(13551,plain,
% 48.97/32.08 (((~![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)))),
% 48.97/32.08 inference(transitivity,[status(thm)],[13550, 13548])).
% 48.97/32.08 tff(13552,plain,
% 48.97/32.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB89, constB90)) | (~v101(constB90)) | (~v110(constB90)) | v100(constB90))),
% 48.97/32.08 inference(quant_inst,[status(thm)],[])).
% 48.97/32.08 tff(13553,plain,
% 48.97/32.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90))),
% 48.97/32.08 inference(modus_ponens,[status(thm)],[13552, 13551])).
% 48.97/32.08 tff(13554,plain,
% 48.97/32.08 (v100(constB90) | (~v101(constB90)) | (~v110(constB90))),
% 48.97/32.08 inference(unit_resolution,[status(thm)],[13553, 318, 13506])).
% 48.97/32.08 tff(13555,plain,
% 48.97/32.08 (v100(constB90) | (~v110(constB90))),
% 48.97/32.08 inference(unit_resolution,[status(thm)],[13554, 13547])).
% 48.97/32.08 tff(13556,plain,
% 48.97/32.08 (~v110(constB90)),
% 48.97/32.08 inference(unit_resolution,[status(thm)],[13555, 13512])).
% 48.97/32.08 tff(13557,plain,
% 48.97/32.08 (((~![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)))),
% 48.97/32.08 inference(rewrite,[status(thm)],[])).
% 48.97/32.08 tff(13558,plain,
% 48.97/32.08 (((~nextState(constB89, constB90)) | (~v108(constB89)) | v110(constB90)) <=> ((~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89)))),
% 48.97/32.08 inference(rewrite,[status(thm)],[])).
% 48.97/32.08 tff(13559,plain,
% 48.97/32.08 (((~![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))))),
% 48.97/32.08 inference(monotonicity,[status(thm)],[13558])).
% 48.97/32.08 tff(13560,plain,
% 48.97/32.08 (((~![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)))),
% 48.97/32.08 inference(transitivity,[status(thm)],[13559, 13557])).
% 48.97/32.08 tff(13561,plain,
% 48.97/32.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB89, constB90)) | (~v108(constB89)) | v110(constB90))),
% 48.97/32.08 inference(quant_inst,[status(thm)],[])).
% 48.97/32.08 tff(13562,plain,
% 48.97/32.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89))),
% 48.97/32.08 inference(modus_ponens,[status(thm)],[13561, 13560])).
% 48.97/32.08 tff(13563,plain,
% 48.97/32.08 (v110(constB90) | (~v108(constB89))),
% 48.97/32.08 inference(unit_resolution,[status(thm)],[13562, 253, 13506])).
% 48.97/32.08 tff(13564,plain,
% 48.97/32.08 (~v108(constB89)),
% 48.97/32.08 inference(unit_resolution,[status(thm)],[13563, 13556])).
% 48.97/32.08 tff(13565,plain,
% 48.97/32.08 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB89) | (~v112(constB89)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB89) | (~v112(constB89)))),
% 48.97/32.08 inference(rewrite,[status(thm)],[])).
% 48.97/32.08 tff(13566,plain,
% 48.97/32.08 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB89) | (~v112(constB89)))),
% 48.97/32.08 inference(quant_inst,[status(thm)],[])).
% 48.97/32.08 tff(13567,plain,
% 48.97/32.08 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB89) | (~v112(constB89))),
% 48.97/32.08 inference(modus_ponens,[status(thm)],[13566, 13565])).
% 48.97/32.08 tff(13568,plain,
% 48.97/32.08 (~v112(constB89)),
% 48.97/32.08 inference(unit_resolution,[status(thm)],[13567, 236, 13564])).
% 48.97/32.08 tff(13569,plain,
% 48.97/32.08 (((~![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)))),
% 48.97/32.08 inference(rewrite,[status(thm)],[])).
% 48.97/32.08 tff(13570,plain,
% 48.97/32.08 ((v26(constB89) | (~v113(constB89)) | v112(constB89)) <=> (v26(constB89) | v112(constB89) | (~v113(constB89)))),
% 48.97/32.08 inference(rewrite,[status(thm)],[])).
% 48.97/32.08 tff(13571,plain,
% 48.97/32.08 (((~![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))))),
% 48.97/32.08 inference(monotonicity,[status(thm)],[13570])).
% 48.97/32.08 tff(13572,plain,
% 48.97/32.08 (((~![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)))),
% 48.97/32.08 inference(transitivity,[status(thm)],[13571, 13569])).
% 48.97/32.08 tff(13573,plain,
% 48.97/32.08 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB89) | (~v113(constB89)) | v112(constB89))),
% 48.97/32.08 inference(quant_inst,[status(thm)],[])).
% 48.97/32.08 tff(13574,plain,
% 48.97/32.08 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB89) | v112(constB89) | (~v113(constB89))),
% 48.97/32.08 inference(modus_ponens,[status(thm)],[13573, 13572])).
% 48.97/32.08 tff(13575,plain,
% 48.97/32.08 (v112(constB89) | (~v113(constB89))),
% 48.97/32.08 inference(unit_resolution,[status(thm)],[13574, 224, 13495])).
% 48.97/32.08 tff(13576,plain,
% 48.97/32.08 (~v113(constB89)),
% 48.97/32.08 inference(unit_resolution,[status(thm)],[13575, 13568])).
% 48.97/32.08 tff(13577,plain,
% 48.97/32.08 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB89) | (~v114(constB89)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB89) | (~v114(constB89)))),
% 48.97/32.08 inference(rewrite,[status(thm)],[])).
% 48.97/32.08 tff(13578,plain,
% 48.97/32.08 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB89) | (~v114(constB89)))),
% 48.97/32.08 inference(quant_inst,[status(thm)],[])).
% 48.97/32.08 tff(13579,plain,
% 48.97/32.08 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB89) | (~v114(constB89))),
% 48.97/32.08 inference(modus_ponens,[status(thm)],[13578, 13577])).
% 48.97/32.08 tff(13580,plain,
% 48.97/32.08 (~v114(constB89)),
% 48.97/32.08 inference(unit_resolution,[status(thm)],[13579, 210, 13576])).
% 48.97/32.08 tff(13581,plain,
% 48.97/32.08 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB89) | (~v115(constB89)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB89) | (~v115(constB89)))),
% 48.97/32.08 inference(rewrite,[status(thm)],[])).
% 48.97/32.08 tff(13582,plain,
% 48.97/32.08 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB89) | (~v115(constB89)))),
% 48.97/32.08 inference(quant_inst,[status(thm)],[])).
% 48.97/32.08 tff(13583,plain,
% 48.97/32.08 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB89) | (~v115(constB89))),
% 48.97/32.08 inference(modus_ponens,[status(thm)],[13582, 13581])).
% 48.97/32.08 tff(13584,plain,
% 48.97/32.08 (~v115(constB89)),
% 48.97/32.08 inference(unit_resolution,[status(thm)],[13583, 199, 13580])).
% 48.97/32.08 tff(13585,plain,
% 48.97/32.08 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB89) | (~v116(constB89)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB89) | (~v116(constB89)))),
% 48.97/32.08 inference(rewrite,[status(thm)],[])).
% 48.97/32.08 tff(13586,plain,
% 48.97/32.08 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB89) | (~v116(constB89)))),
% 48.97/32.08 inference(quant_inst,[status(thm)],[])).
% 48.97/32.08 tff(13587,plain,
% 48.97/32.08 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB89) | (~v116(constB89))),
% 48.97/32.08 inference(modus_ponens,[status(thm)],[13586, 13585])).
% 48.97/32.08 tff(13588,plain,
% 48.97/32.08 (~v116(constB89)),
% 48.97/32.08 inference(unit_resolution,[status(thm)],[13587, 188, 13584])).
% 48.97/32.08 tff(13589,plain,
% 48.97/32.08 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB89) | (~v117(constB89)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB89) | (~v117(constB89)))),
% 48.97/32.08 inference(rewrite,[status(thm)],[])).
% 48.97/32.08 tff(13590,plain,
% 48.97/32.08 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB89) | (~v117(constB89)))),
% 48.97/32.08 inference(quant_inst,[status(thm)],[])).
% 48.97/32.08 tff(13591,plain,
% 48.97/32.08 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB89) | (~v117(constB89))),
% 48.97/32.08 inference(modus_ponens,[status(thm)],[13590, 13589])).
% 48.97/32.08 tff(13592,plain,
% 48.97/32.08 (~v117(constB89)),
% 48.97/32.08 inference(unit_resolution,[status(thm)],[13591, 177, 13588])).
% 48.97/32.08 tff(13593,plain,
% 48.97/32.08 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB89) | (~v118(constB89)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB89) | (~v118(constB89)))),
% 48.97/32.08 inference(rewrite,[status(thm)],[])).
% 48.97/32.08 tff(13594,plain,
% 48.97/32.08 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB89) | (~v118(constB89)))),
% 48.97/32.08 inference(quant_inst,[status(thm)],[])).
% 48.97/32.08 tff(13595,plain,
% 48.97/32.08 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB89) | (~v118(constB89))),
% 48.97/32.08 inference(modus_ponens,[status(thm)],[13594, 13593])).
% 48.97/32.08 tff(13596,plain,
% 48.97/32.08 (~v118(constB89)),
% 48.97/32.08 inference(unit_resolution,[status(thm)],[13595, 166, 13592])).
% 48.97/32.08 tff(13597,plain,
% 48.97/32.08 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB89) | (~v120(constB89)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB89) | (~v120(constB89)))),
% 48.97/32.09 inference(rewrite,[status(thm)],[])).
% 48.97/32.09 tff(13598,plain,
% 48.97/32.09 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB89) | (~v120(constB89)))),
% 48.97/32.09 inference(quant_inst,[status(thm)],[])).
% 48.97/32.09 tff(13599,plain,
% 48.97/32.09 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB89) | (~v120(constB89))),
% 48.97/32.09 inference(modus_ponens,[status(thm)],[13598, 13597])).
% 48.97/32.09 tff(13600,plain,
% 48.97/32.09 (~v120(constB89)),
% 48.97/32.09 inference(unit_resolution,[status(thm)],[13599, 1302, 13596])).
% 48.97/32.09 tff(13601,plain,
% 48.97/32.09 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB89) | (~v122(constB89)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB89) | (~v122(constB89)))),
% 48.97/32.09 inference(rewrite,[status(thm)],[])).
% 48.97/32.09 tff(13602,plain,
% 48.97/32.09 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB89) | (~v122(constB89)))),
% 48.97/32.09 inference(quant_inst,[status(thm)],[])).
% 48.97/32.09 tff(13603,plain,
% 48.97/32.09 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB89) | (~v122(constB89))),
% 48.97/32.09 inference(modus_ponens,[status(thm)],[13602, 13601])).
% 48.97/32.09 tff(13604,plain,
% 48.97/32.09 (~v122(constB89)),
% 48.97/32.09 inference(unit_resolution,[status(thm)],[13603, 1800, 13588])).
% 48.97/32.09 tff(13605,plain,
% 48.97/32.09 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB89) | (~v123(constB89)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB89) | (~v123(constB89)))),
% 48.97/32.09 inference(rewrite,[status(thm)],[])).
% 48.97/32.09 tff(13606,plain,
% 48.97/32.09 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB89) | (~v123(constB89)))),
% 48.97/32.09 inference(quant_inst,[status(thm)],[])).
% 48.97/32.09 tff(13607,plain,
% 48.97/32.09 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB89) | (~v123(constB89))),
% 48.97/32.09 inference(modus_ponens,[status(thm)],[13606, 13605])).
% 48.97/32.09 tff(13608,plain,
% 48.97/32.09 (~v123(constB89)),
% 48.97/32.09 inference(unit_resolution,[status(thm)],[13607, 595, 13584])).
% 48.97/32.09 tff(13609,plain,
% 48.97/32.09 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB89) | (~v121(constB89)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB89) | (~v121(constB89)))),
% 48.97/32.09 inference(rewrite,[status(thm)],[])).
% 48.97/32.09 tff(13610,plain,
% 48.97/32.09 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB89) | (~v121(constB89)))),
% 48.97/32.09 inference(quant_inst,[status(thm)],[])).
% 48.97/32.09 tff(13611,plain,
% 48.97/32.09 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB89) | (~v121(constB89))),
% 48.97/32.09 inference(modus_ponens,[status(thm)],[13610, 13609])).
% 48.97/32.09 tff(13612,plain,
% 48.97/32.09 (~v121(constB89)),
% 48.97/32.09 inference(unit_resolution,[status(thm)],[13611, 1562, 13592])).
% 48.97/32.09 tff(13613,plain,
% 48.97/32.09 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB89) | (~v119(constB89)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB89) | (~v119(constB89)))),
% 48.97/32.09 inference(rewrite,[status(thm)],[])).
% 48.97/32.09 tff(13614,plain,
% 48.97/32.09 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB89) | (~v119(constB89)))),
% 48.97/32.09 inference(quant_inst,[status(thm)],[])).
% 48.97/32.09 tff(13615,plain,
% 48.97/32.09 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB89) | (~v119(constB89))),
% 48.97/32.09 inference(modus_ponens,[status(thm)],[13614, 13613])).
% 48.97/32.09 tff(13616,plain,
% 48.97/32.09 (~v119(constB89)),
% 48.97/32.09 inference(unit_resolution,[status(thm)],[13615, 155, 13596])).
% 48.97/32.09 tff(13617,plain,
% 48.97/32.09 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB89) | (~v124(constB89)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB89) | (~v124(constB89)))),
% 48.97/32.09 inference(rewrite,[status(thm)],[])).
% 48.97/32.09 tff(13618,plain,
% 48.97/32.09 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB89) | (~v124(constB89)))),
% 48.97/32.09 inference(quant_inst,[status(thm)],[])).
% 48.97/32.09 tff(13619,plain,
% 48.97/32.09 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB89) | (~v124(constB89))),
% 48.97/32.09 inference(modus_ponens,[status(thm)],[13618, 13617])).
% 48.97/32.09 tff(13620,plain,
% 48.97/32.09 (~v124(constB89)),
% 48.97/32.09 inference(unit_resolution,[status(thm)],[13619, 2631, 13580])).
% 48.97/32.09 tff(13621,plain,
% 48.97/32.09 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB89, bitIndex2)) | v124(constB89) | v123(constB89) | v122(constB89) | v121(constB89) | v120(constB89) | v119(constB89))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB89, bitIndex2)) | v124(constB89) | v123(constB89) | v122(constB89) | v121(constB89) | v120(constB89) | v119(constB89))),
% 48.97/32.09 inference(rewrite,[status(thm)],[])).
% 48.97/32.09 tff(13622,plain,
% 48.97/32.09 ((v120(constB89) | v119(constB89) | v121(constB89) | v122(constB89) | v123(constB89) | v124(constB89) | (~v130(constB89, bitIndex2))) <=> ((~v130(constB89, bitIndex2)) | v124(constB89) | v123(constB89) | v122(constB89) | v121(constB89) | v120(constB89) | v119(constB89))),
% 48.97/32.09 inference(rewrite,[status(thm)],[])).
% 48.97/32.09 tff(13623,plain,
% 48.97/32.09 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB89) | v119(constB89) | v121(constB89) | v122(constB89) | v123(constB89) | v124(constB89) | (~v130(constB89, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB89, bitIndex2)) | v124(constB89) | v123(constB89) | v122(constB89) | v121(constB89) | v120(constB89) | v119(constB89)))),
% 48.97/32.09 inference(monotonicity,[status(thm)],[13622])).
% 48.97/32.09 tff(13624,plain,
% 48.97/32.09 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB89) | v119(constB89) | v121(constB89) | v122(constB89) | v123(constB89) | v124(constB89) | (~v130(constB89, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB89, bitIndex2)) | v124(constB89) | v123(constB89) | v122(constB89) | v121(constB89) | v120(constB89) | v119(constB89))),
% 48.97/32.09 inference(transitivity,[status(thm)],[13623, 13621])).
% 48.97/32.09 tff(13625,plain,
% 48.97/32.09 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB89) | v119(constB89) | v121(constB89) | v122(constB89) | v123(constB89) | v124(constB89) | (~v130(constB89, bitIndex2)))),
% 48.97/32.09 inference(quant_inst,[status(thm)],[])).
% 48.97/32.09 tff(13626,plain,
% 48.97/32.09 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB89, bitIndex2)) | v124(constB89) | v123(constB89) | v122(constB89) | v121(constB89) | v120(constB89) | v119(constB89)),
% 48.97/32.09 inference(modus_ponens,[status(thm)],[13625, 13624])).
% 48.97/32.09 tff(13627,plain,
% 48.97/32.09 ((~v130(constB89, bitIndex2)) | v123(constB89) | v122(constB89) | v121(constB89) | v120(constB89) | v119(constB89)),
% 48.97/32.09 inference(unit_resolution,[status(thm)],[13626, 1192, 13620])).
% 48.97/32.09 tff(13628,plain,
% 48.97/32.09 (~v130(constB89, bitIndex2)),
% 48.97/32.09 inference(unit_resolution,[status(thm)],[13627, 13616, 13612, 13608, 13604, 13600])).
% 48.97/32.09 tff(13629,assumption,(~v90(constB90, bitIndex0)), introduced(assumption)).
% 48.97/32.09 tff(13630,assumption,(~v130(constB89, bitIndex2)), introduced(assumption)).
% 48.97/32.09 tff(13631,plain,
% 48.97/32.09 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB89)) | v130(constB89, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB89)) | v130(constB89, bitIndex2))),
% 48.97/32.09 inference(rewrite,[status(thm)],[])).
% 48.97/32.09 tff(13632,plain,
% 48.97/32.09 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB89)) | v130(constB89, bitIndex2))),
% 48.97/32.09 inference(quant_inst,[status(thm)],[])).
% 48.97/32.09 tff(13633,plain,
% 48.97/32.09 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB89)) | v130(constB89, bitIndex2)),
% 48.97/32.09 inference(modus_ponens,[status(thm)],[13632, 13631])).
% 48.97/32.09 tff(13634,plain,
% 48.97/32.09 (~v119(constB89)),
% 48.97/32.09 inference(unit_resolution,[status(thm)],[13633, 337, 13630])).
% 48.97/32.09 tff(13635,plain,
% 48.97/32.09 (~v90(constB89, bitIndex2)),
% 48.97/32.09 inference(unit_resolution,[status(thm)],[13520, 13512, 13513])).
% 48.97/32.09 tff(13636,plain,
% 48.97/32.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB89, bitIndex0)) | (~nextState(constB89, constB90)) | v100(constB90) | v90(constB90, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB89, bitIndex0)) | (~nextState(constB89, constB90)) | v100(constB90) | v90(constB90, bitIndex0))),
% 48.97/32.09 inference(rewrite,[status(thm)],[])).
% 48.97/32.09 tff(13637,plain,
% 48.97/32.09 (((~nextState(constB89, constB90)) | (~v90(constB89, bitIndex0)) | v100(constB90) | v90(constB90, bitIndex0)) <=> ((~v90(constB89, bitIndex0)) | (~nextState(constB89, constB90)) | v100(constB90) | v90(constB90, bitIndex0))),
% 48.97/32.09 inference(rewrite,[status(thm)],[])).
% 48.97/32.09 tff(13638,plain,
% 48.97/32.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB89, constB90)) | (~v90(constB89, bitIndex0)) | v100(constB90) | v90(constB90, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB89, bitIndex0)) | (~nextState(constB89, constB90)) | v100(constB90) | v90(constB90, bitIndex0)))),
% 48.97/32.09 inference(monotonicity,[status(thm)],[13637])).
% 48.97/32.09 tff(13639,plain,
% 48.97/32.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB89, constB90)) | (~v90(constB89, bitIndex0)) | v100(constB90) | v90(constB90, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB89, bitIndex0)) | (~nextState(constB89, constB90)) | v100(constB90) | v90(constB90, bitIndex0))),
% 48.97/32.09 inference(transitivity,[status(thm)],[13638, 13636])).
% 48.97/32.09 tff(13640,plain,
% 48.97/32.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB89, constB90)) | (~v90(constB89, bitIndex0)) | v100(constB90) | v90(constB90, bitIndex0))),
% 48.97/32.09 inference(quant_inst,[status(thm)],[])).
% 48.97/32.09 tff(13641,plain,
% 48.97/32.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB89, bitIndex0)) | (~nextState(constB89, constB90)) | v100(constB90) | v90(constB90, bitIndex0)),
% 48.97/32.09 inference(modus_ponens,[status(thm)],[13640, 13639])).
% 48.97/32.09 tff(13642,plain,
% 48.97/32.09 ((~v90(constB89, bitIndex0)) | v100(constB90) | v90(constB90, bitIndex0)),
% 48.97/32.09 inference(unit_resolution,[status(thm)],[13641, 1124, 13506])).
% 48.97/32.09 tff(13643,plain,
% 48.97/32.09 (~v90(constB89, bitIndex0)),
% 48.97/32.09 inference(unit_resolution,[status(thm)],[13642, 13512, 13629])).
% 48.97/32.09 tff(13644,plain,
% 48.97/32.09 (~v90(constB89, bitIndex1)),
% 48.97/32.09 inference(unit_resolution,[status(thm)],[13529, 13512, 13522])).
% 48.97/32.09 tff(13645,assumption,(~v119(constB89)), introduced(assumption)).
% 48.97/32.09 tff(13646,plain,
% 48.97/32.09 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB89) | v90(constB89, bitIndex0) | v90(constB89, bitIndex1) | v90(constB89, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB89) | v90(constB89, bitIndex0) | v90(constB89, bitIndex1) | v90(constB89, bitIndex2))),
% 48.97/32.09 inference(rewrite,[status(thm)],[])).
% 48.97/32.09 tff(13647,plain,
% 48.97/32.09 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB89) | v90(constB89, bitIndex0) | v90(constB89, bitIndex1) | v90(constB89, bitIndex2))),
% 48.97/32.09 inference(quant_inst,[status(thm)],[])).
% 48.97/32.09 tff(13648,plain,
% 48.97/32.09 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB89) | v90(constB89, bitIndex0) | v90(constB89, bitIndex1) | v90(constB89, bitIndex2)),
% 48.97/32.09 inference(modus_ponens,[status(thm)],[13647, 13646])).
% 48.97/32.09 tff(13649,plain,
% 48.97/32.09 (v90(constB89, bitIndex0) | v90(constB89, bitIndex1) | v90(constB89, bitIndex2)),
% 48.97/32.09 inference(unit_resolution,[status(thm)],[13648, 144, 13645])).
% 48.97/32.09 tff(13650,plain,
% 48.97/32.09 ($false),
% 48.97/32.09 inference(unit_resolution,[status(thm)],[13649, 13644, 13643, 13635])).
% 48.97/32.09 tff(13651,plain,(v100(constB90) | v119(constB89) | v90(constB90, bitIndex2) | v90(constB90, bitIndex1) | v90(constB90, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 48.97/32.09 tff(13652,plain,
% 48.97/32.09 (v100(constB90)),
% 48.97/32.09 inference(unit_resolution,[status(thm)],[13651, 13634, 13513, 13522, 13629])).
% 48.97/32.09 tff(13653,plain,
% 48.97/32.09 (((~![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)))),
% 48.97/32.09 inference(rewrite,[status(thm)],[])).
% 48.97/32.09 tff(13654,plain,
% 48.97/32.09 ((v90(constB90, bitIndex1) | (~v100(constB90)) | (~v129(constB90, bitIndex1))) <=> (v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1)) | (~v100(constB90)))),
% 48.97/32.09 inference(rewrite,[status(thm)],[])).
% 48.97/32.09 tff(13655,plain,
% 48.97/32.09 (((~![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))))),
% 48.97/32.09 inference(monotonicity,[status(thm)],[13654])).
% 48.97/32.09 tff(13656,plain,
% 48.97/32.09 (((~![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)))),
% 48.97/32.09 inference(transitivity,[status(thm)],[13655, 13653])).
% 48.97/32.09 tff(13657,plain,
% 48.97/32.09 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB90, bitIndex1) | (~v100(constB90)) | (~v129(constB90, bitIndex1)))),
% 48.97/32.09 inference(quant_inst,[status(thm)],[])).
% 48.97/32.09 tff(13658,plain,
% 48.97/32.09 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1)) | (~v100(constB90))),
% 48.97/32.09 inference(modus_ponens,[status(thm)],[13657, 13656])).
% 48.97/32.09 tff(13659,plain,
% 48.97/32.09 ((~v129(constB90, bitIndex1)) | (~v100(constB90))),
% 48.97/32.09 inference(unit_resolution,[status(thm)],[13658, 711, 13522])).
% 48.97/32.09 tff(13660,plain,
% 48.97/32.09 (~v129(constB90, bitIndex1)),
% 48.97/32.09 inference(unit_resolution,[status(thm)],[13659, 13652])).
% 48.97/32.09 tff(13661,plain,
% 48.97/32.09 (((~![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))),
% 48.97/32.09 inference(rewrite,[status(thm)],[])).
% 48.97/32.09 tff(13662,plain,
% 48.97/32.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB89, constB90)) | (~v127(constB89, bitIndex1)) | v129(constB90, bitIndex1))),
% 48.97/32.09 inference(quant_inst,[status(thm)],[])).
% 48.97/32.09 tff(13663,plain,
% 48.97/32.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB89, constB90)) | (~v127(constB89, bitIndex1)) | v129(constB90, bitIndex1)),
% 48.97/32.09 inference(modus_ponens,[status(thm)],[13662, 13661])).
% 48.97/32.09 tff(13664,plain,
% 48.97/32.09 ((~v127(constB89, bitIndex1)) | v129(constB90, bitIndex1)),
% 48.97/32.09 inference(unit_resolution,[status(thm)],[13663, 696, 13506])).
% 48.97/32.09 tff(13665,plain,
% 48.97/32.09 (~v127(constB89, bitIndex1)),
% 48.97/32.09 inference(unit_resolution,[status(thm)],[13664, 13660])).
% 48.97/32.09 tff(13666,plain,
% 48.97/32.09 (((~![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))),
% 48.97/32.09 inference(rewrite,[status(thm)],[])).
% 48.97/32.09 tff(13667,plain,
% 48.97/32.09 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB89) | (~v130(constB89, bitIndex1)) | v127(constB89, bitIndex1))),
% 48.97/32.09 inference(quant_inst,[status(thm)],[])).
% 48.97/32.09 tff(13668,plain,
% 48.97/32.09 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB89) | (~v130(constB89, bitIndex1)) | v127(constB89, bitIndex1)),
% 48.97/32.09 inference(modus_ponens,[status(thm)],[13667, 13666])).
% 48.97/32.09 tff(13669,plain,
% 48.97/32.09 ((~v130(constB89, bitIndex1)) | v127(constB89, bitIndex1)),
% 48.97/32.09 inference(unit_resolution,[status(thm)],[13668, 681, 13495])).
% 48.97/32.09 tff(13670,plain,
% 48.97/32.09 (~v130(constB89, bitIndex1)),
% 48.97/32.09 inference(unit_resolution,[status(thm)],[13669, 13665])).
% 48.97/32.09 tff(13671,plain,
% 48.97/32.09 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB89)) | v130(constB89, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB89)) | v130(constB89, bitIndex1))),
% 48.97/32.09 inference(rewrite,[status(thm)],[])).
% 48.97/32.09 tff(13672,plain,
% 48.97/32.09 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB89)) | v130(constB89, bitIndex1))),
% 48.97/32.09 inference(quant_inst,[status(thm)],[])).
% 48.97/32.09 tff(13673,plain,
% 48.97/32.09 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB89)) | v130(constB89, bitIndex1)),
% 48.97/32.09 inference(modus_ponens,[status(thm)],[13672, 13671])).
% 48.97/32.09 tff(13674,plain,
% 48.97/32.09 (~v120(constB89)),
% 48.97/32.09 inference(unit_resolution,[status(thm)],[13673, 1450, 13670])).
% 48.97/32.09 tff(13675,plain,
% 48.97/32.09 (((~![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)))),
% 48.97/32.09 inference(rewrite,[status(thm)],[])).
% 48.97/32.09 tff(13676,plain,
% 48.97/32.09 ((v90(constB90, bitIndex0) | (~v100(constB90)) | (~v129(constB90, bitIndex0))) <=> (v90(constB90, bitIndex0) | (~v129(constB90, bitIndex0)) | (~v100(constB90)))),
% 48.97/32.09 inference(rewrite,[status(thm)],[])).
% 48.97/32.09 tff(13677,plain,
% 48.97/32.09 (((~![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))))),
% 48.97/32.09 inference(monotonicity,[status(thm)],[13676])).
% 48.97/32.09 tff(13678,plain,
% 48.97/32.09 (((~![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)))),
% 48.97/32.09 inference(transitivity,[status(thm)],[13677, 13675])).
% 48.97/32.09 tff(13679,plain,
% 48.97/32.09 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB90, bitIndex0) | (~v100(constB90)) | (~v129(constB90, bitIndex0)))),
% 48.97/32.09 inference(quant_inst,[status(thm)],[])).
% 48.97/32.09 tff(13680,plain,
% 48.97/32.09 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB90, bitIndex0) | (~v129(constB90, bitIndex0)) | (~v100(constB90))),
% 48.97/32.09 inference(modus_ponens,[status(thm)],[13679, 13678])).
% 48.97/32.09 tff(13681,plain,
% 48.97/32.09 ((~v129(constB90, bitIndex0)) | (~v100(constB90))),
% 48.97/32.09 inference(unit_resolution,[status(thm)],[13680, 1088, 13629])).
% 48.97/32.09 tff(13682,plain,
% 48.97/32.09 (~v129(constB90, bitIndex0)),
% 48.97/32.09 inference(unit_resolution,[status(thm)],[13681, 13652])).
% 48.97/32.09 tff(13683,plain,
% 48.97/32.09 (((~![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))),
% 48.97/32.09 inference(rewrite,[status(thm)],[])).
% 48.97/32.09 tff(13684,plain,
% 48.97/32.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB89, constB90)) | (~v127(constB89, bitIndex0)) | v129(constB90, bitIndex0))),
% 48.97/32.09 inference(quant_inst,[status(thm)],[])).
% 48.97/32.09 tff(13685,plain,
% 48.97/32.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB89, constB90)) | (~v127(constB89, bitIndex0)) | v129(constB90, bitIndex0)),
% 48.97/32.09 inference(modus_ponens,[status(thm)],[13684, 13683])).
% 48.97/32.09 tff(13686,plain,
% 48.97/32.09 ((~v127(constB89, bitIndex0)) | v129(constB90, bitIndex0)),
% 48.97/32.09 inference(unit_resolution,[status(thm)],[13685, 944, 13506])).
% 48.97/32.09 tff(13687,plain,
% 48.97/32.09 (~v127(constB89, bitIndex0)),
% 48.97/32.09 inference(unit_resolution,[status(thm)],[13686, 13682])).
% 48.97/32.09 tff(13688,plain,
% 48.97/32.09 (((~![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))),
% 48.97/32.09 inference(rewrite,[status(thm)],[])).
% 48.97/32.09 tff(13689,plain,
% 48.97/32.09 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB89) | (~v130(constB89, bitIndex0)) | v127(constB89, bitIndex0))),
% 48.97/32.09 inference(quant_inst,[status(thm)],[])).
% 48.97/32.09 tff(13690,plain,
% 48.97/32.09 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB89) | (~v130(constB89, bitIndex0)) | v127(constB89, bitIndex0)),
% 48.97/32.09 inference(modus_ponens,[status(thm)],[13689, 13688])).
% 48.97/32.09 tff(13691,plain,
% 48.97/32.09 ((~v130(constB89, bitIndex0)) | v127(constB89, bitIndex0)),
% 48.97/32.09 inference(unit_resolution,[status(thm)],[13690, 926, 13495])).
% 48.97/32.09 tff(13692,plain,
% 48.97/32.09 (~v130(constB89, bitIndex0)),
% 48.97/32.09 inference(unit_resolution,[status(thm)],[13691, 13687])).
% 48.97/32.09 tff(13693,plain,
% 48.97/32.09 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB89)) | v130(constB89, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB89)) | v130(constB89, bitIndex0))),
% 48.97/32.09 inference(rewrite,[status(thm)],[])).
% 48.97/32.09 tff(13694,plain,
% 48.97/32.09 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB89)) | v130(constB89, bitIndex0))),
% 48.97/32.09 inference(quant_inst,[status(thm)],[])).
% 48.97/32.09 tff(13695,plain,
% 48.97/32.09 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB89)) | v130(constB89, bitIndex0)),
% 48.97/32.09 inference(modus_ponens,[status(thm)],[13694, 13693])).
% 48.97/32.09 tff(13696,plain,
% 48.97/32.09 (~v124(constB89)),
% 48.97/32.09 inference(unit_resolution,[status(thm)],[13695, 3020, 13692])).
% 48.97/32.09 tff(13697,plain,
% 48.97/32.09 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB89)) | v130(constB89, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB89)) | v130(constB89, bitIndex0))),
% 48.97/32.09 inference(rewrite,[status(thm)],[])).
% 48.97/32.09 tff(13698,plain,
% 48.97/32.09 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB89)) | v130(constB89, bitIndex0))),
% 48.97/32.09 inference(quant_inst,[status(thm)],[])).
% 48.97/32.09 tff(13699,plain,
% 48.97/32.09 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB89)) | v130(constB89, bitIndex0)),
% 48.97/32.09 inference(modus_ponens,[status(thm)],[13698, 13697])).
% 48.97/32.09 tff(13700,plain,
% 48.97/32.09 (~v121(constB89)),
% 48.97/32.09 inference(unit_resolution,[status(thm)],[13699, 1748, 13692])).
% 48.97/32.09 tff(13701,plain,
% 48.97/32.09 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB89)) | v130(constB89, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB89)) | v130(constB89, bitIndex2))),
% 48.97/32.09 inference(rewrite,[status(thm)],[])).
% 48.97/32.09 tff(13702,plain,
% 48.97/32.09 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB89)) | v130(constB89, bitIndex2))),
% 48.97/32.09 inference(quant_inst,[status(thm)],[])).
% 48.97/32.09 tff(13703,plain,
% 48.97/32.09 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB89)) | v130(constB89, bitIndex2)),
% 48.97/32.09 inference(modus_ponens,[status(thm)],[13702, 13701])).
% 48.97/32.09 tff(13704,plain,
% 48.97/32.09 (~v122(constB89)),
% 48.97/32.09 inference(unit_resolution,[status(thm)],[13703, 1876, 13630])).
% 48.97/32.09 tff(13705,plain,
% 48.97/32.09 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB89)) | v130(constB89, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB89)) | v130(constB89, bitIndex2))),
% 48.97/32.09 inference(rewrite,[status(thm)],[])).
% 48.97/32.09 tff(13706,plain,
% 48.97/32.09 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB89)) | v130(constB89, bitIndex2))),
% 48.97/32.09 inference(quant_inst,[status(thm)],[])).
% 48.97/32.09 tff(13707,plain,
% 48.97/32.09 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB89)) | v130(constB89, bitIndex2)),
% 48.97/32.09 inference(modus_ponens,[status(thm)],[13706, 13705])).
% 48.97/32.09 tff(13708,plain,
% 48.97/32.09 (~v123(constB89)),
% 48.97/32.09 inference(unit_resolution,[status(thm)],[13707, 836, 13630])).
% 48.97/32.09 tff(13709,plain,
% 48.97/32.09 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB89, bitIndex0) | v124(constB89) | v123(constB89) | v122(constB89) | v121(constB89) | v120(constB89) | v119(constB89))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB89, bitIndex0) | v124(constB89) | v123(constB89) | v122(constB89) | v121(constB89) | v120(constB89) | v119(constB89))),
% 48.97/32.09 inference(rewrite,[status(thm)],[])).
% 48.97/32.09 tff(13710,plain,
% 48.97/32.09 ((v120(constB89) | v119(constB89) | v121(constB89) | v122(constB89) | v123(constB89) | v124(constB89) | v130(constB89, bitIndex0)) <=> (v130(constB89, bitIndex0) | v124(constB89) | v123(constB89) | v122(constB89) | v121(constB89) | v120(constB89) | v119(constB89))),
% 48.97/32.09 inference(rewrite,[status(thm)],[])).
% 48.97/32.09 tff(13711,plain,
% 48.97/32.09 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB89) | v119(constB89) | v121(constB89) | v122(constB89) | v123(constB89) | v124(constB89) | v130(constB89, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB89, bitIndex0) | v124(constB89) | v123(constB89) | v122(constB89) | v121(constB89) | v120(constB89) | v119(constB89)))),
% 48.97/32.09 inference(monotonicity,[status(thm)],[13710])).
% 48.97/32.09 tff(13712,plain,
% 48.97/32.09 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB89) | v119(constB89) | v121(constB89) | v122(constB89) | v123(constB89) | v124(constB89) | v130(constB89, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB89, bitIndex0) | v124(constB89) | v123(constB89) | v122(constB89) | v121(constB89) | v120(constB89) | v119(constB89))),
% 48.97/32.10 inference(transitivity,[status(thm)],[13711, 13709])).
% 48.97/32.10 tff(13713,plain,
% 48.97/32.10 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB89) | v119(constB89) | v121(constB89) | v122(constB89) | v123(constB89) | v124(constB89) | v130(constB89, bitIndex0))),
% 48.97/32.10 inference(quant_inst,[status(thm)],[])).
% 48.97/32.10 tff(13714,plain,
% 48.97/32.10 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB89, bitIndex0) | v124(constB89) | v123(constB89) | v122(constB89) | v121(constB89) | v120(constB89) | v119(constB89)),
% 48.97/32.10 inference(modus_ponens,[status(thm)],[13713, 13712])).
% 48.97/32.10 tff(13715,plain,
% 48.97/32.10 (v130(constB89, bitIndex0) | v124(constB89) | v121(constB89) | v120(constB89)),
% 48.97/32.10 inference(unit_resolution,[status(thm)],[13714, 908, 13708, 13704, 13634])).
% 48.97/32.10 tff(13716,plain,
% 48.97/32.10 ($false),
% 48.97/32.10 inference(unit_resolution,[status(thm)],[13715, 13700, 13696, 13692, 13674])).
% 48.97/32.10 tff(13717,plain,(v130(constB89, bitIndex2) | v90(constB90, bitIndex1) | v90(constB90, bitIndex0) | v90(constB90, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 48.97/32.10 tff(13718,plain,
% 48.97/32.10 (v90(constB90, bitIndex0)),
% 48.97/32.10 inference(unit_resolution,[status(thm)],[13717, 13522, 13628, 13513])).
% 48.97/32.10 tff(13719,plain,
% 48.97/32.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB89, bitIndex0) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB89, bitIndex0) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, bitIndex0)))),
% 48.97/32.10 inference(rewrite,[status(thm)],[])).
% 48.97/32.10 tff(13720,plain,
% 48.97/32.10 (((~nextState(constB89, constB90)) | v90(constB89, bitIndex0) | v100(constB90) | (~v90(constB90, bitIndex0))) <=> (v90(constB89, bitIndex0) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, bitIndex0)))),
% 48.97/32.10 inference(rewrite,[status(thm)],[])).
% 48.97/32.10 tff(13721,plain,
% 48.97/32.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB89, constB90)) | v90(constB89, bitIndex0) | v100(constB90) | (~v90(constB90, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB89, bitIndex0) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, bitIndex0))))),
% 48.97/32.10 inference(monotonicity,[status(thm)],[13720])).
% 48.97/32.10 tff(13722,plain,
% 48.97/32.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB89, constB90)) | v90(constB89, bitIndex0) | v100(constB90) | (~v90(constB90, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB89, bitIndex0) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, bitIndex0)))),
% 48.97/32.10 inference(transitivity,[status(thm)],[13721, 13719])).
% 48.97/32.10 tff(13723,plain,
% 48.97/32.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB89, constB90)) | v90(constB89, bitIndex0) | v100(constB90) | (~v90(constB90, bitIndex0)))),
% 48.97/32.10 inference(quant_inst,[status(thm)],[])).
% 48.97/32.10 tff(13724,plain,
% 48.97/32.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB89, bitIndex0) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, bitIndex0))),
% 48.97/32.10 inference(modus_ponens,[status(thm)],[13723, 13722])).
% 48.97/32.10 tff(13725,plain,
% 48.97/32.10 (v90(constB89, bitIndex0) | v100(constB90) | (~v90(constB90, bitIndex0))),
% 48.97/32.10 inference(unit_resolution,[status(thm)],[13724, 123, 13506])).
% 48.97/32.10 tff(13726,plain,
% 48.97/32.10 (v90(constB89, bitIndex0)),
% 48.97/32.10 inference(unit_resolution,[status(thm)],[13725, 13718, 13512])).
% 48.97/32.10 tff(13727,plain,
% 48.97/32.10 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB89, bitIndex0)) | v90(constB89, bitIndex1) | v90(constB89, bitIndex2) | v120(constB89))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB89, bitIndex0)) | v90(constB89, bitIndex1) | v90(constB89, bitIndex2) | v120(constB89))),
% 48.97/32.10 inference(rewrite,[status(thm)],[])).
% 48.97/32.10 tff(13728,plain,
% 48.97/32.10 (((~v90(constB89, bitIndex0)) | v120(constB89) | v90(constB89, bitIndex1) | v90(constB89, bitIndex2)) <=> ((~v90(constB89, bitIndex0)) | v90(constB89, bitIndex1) | v90(constB89, bitIndex2) | v120(constB89))),
% 48.97/32.10 inference(rewrite,[status(thm)],[])).
% 48.97/32.10 tff(13729,plain,
% 48.97/32.10 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB89, bitIndex0)) | v120(constB89) | v90(constB89, bitIndex1) | v90(constB89, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB89, bitIndex0)) | v90(constB89, bitIndex1) | v90(constB89, bitIndex2) | v120(constB89)))),
% 48.97/32.10 inference(monotonicity,[status(thm)],[13728])).
% 48.97/32.10 tff(13730,plain,
% 48.97/32.10 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB89, bitIndex0)) | v120(constB89) | v90(constB89, bitIndex1) | v90(constB89, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB89, bitIndex0)) | v90(constB89, bitIndex1) | v90(constB89, bitIndex2) | v120(constB89))),
% 48.97/32.10 inference(transitivity,[status(thm)],[13729, 13727])).
% 48.97/32.10 tff(13731,plain,
% 48.97/32.10 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB89, bitIndex0)) | v120(constB89) | v90(constB89, bitIndex1) | v90(constB89, bitIndex2))),
% 48.97/32.10 inference(quant_inst,[status(thm)],[])).
% 48.97/32.10 tff(13732,plain,
% 48.97/32.10 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB89, bitIndex0)) | v90(constB89, bitIndex1) | v90(constB89, bitIndex2) | v120(constB89)),
% 48.97/32.10 inference(modus_ponens,[status(thm)],[13731, 13730])).
% 48.97/32.10 tff(13733,plain,
% 48.97/32.10 ((~v90(constB89, bitIndex0)) | v90(constB89, bitIndex1) | v90(constB89, bitIndex2)),
% 48.97/32.10 inference(unit_resolution,[status(thm)],[13732, 1285, 13600])).
% 48.97/32.10 tff(13734,plain,
% 48.97/32.10 ($false),
% 48.97/32.10 inference(unit_resolution,[status(thm)],[13733, 13726, 13530, 13521])).
% 48.97/32.10 tff(13735,plain,(v90(constB90, bitIndex1) | v100(constB90) | v90(constB90, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 48.97/32.10 tff(13736,plain,
% 48.97/32.10 (v90(constB90, bitIndex1)),
% 48.97/32.10 inference(unit_resolution,[status(thm)],[13735, 13513, 13512])).
% 48.97/32.10 tff(13737,plain,
% 48.97/32.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB89, bitIndex1) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB89, bitIndex1) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, bitIndex1)))),
% 48.97/32.10 inference(rewrite,[status(thm)],[])).
% 48.97/32.10 tff(13738,plain,
% 48.97/32.10 (((~nextState(constB89, constB90)) | v90(constB89, bitIndex1) | v100(constB90) | (~v90(constB90, bitIndex1))) <=> (v90(constB89, bitIndex1) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, bitIndex1)))),
% 48.97/32.10 inference(rewrite,[status(thm)],[])).
% 48.97/32.10 tff(13739,plain,
% 48.97/32.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB89, constB90)) | v90(constB89, bitIndex1) | v100(constB90) | (~v90(constB90, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB89, bitIndex1) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, bitIndex1))))),
% 48.97/32.10 inference(monotonicity,[status(thm)],[13738])).
% 48.97/32.10 tff(13740,plain,
% 48.97/32.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB89, constB90)) | v90(constB89, bitIndex1) | v100(constB90) | (~v90(constB90, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB89, bitIndex1) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, bitIndex1)))),
% 48.97/32.10 inference(transitivity,[status(thm)],[13739, 13737])).
% 48.97/32.10 tff(13741,plain,
% 48.97/32.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB89, constB90)) | v90(constB89, bitIndex1) | v100(constB90) | (~v90(constB90, bitIndex1)))),
% 48.97/32.10 inference(quant_inst,[status(thm)],[])).
% 48.97/32.10 tff(13742,plain,
% 48.97/32.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB89, bitIndex1) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, bitIndex1))),
% 48.97/32.10 inference(modus_ponens,[status(thm)],[13741, 13740])).
% 48.97/32.10 tff(13743,plain,
% 48.97/32.10 (v90(constB89, bitIndex1) | v100(constB90) | (~v90(constB90, bitIndex1))),
% 48.97/32.10 inference(unit_resolution,[status(thm)],[13742, 102, 13506])).
% 48.97/32.10 tff(13744,plain,
% 48.97/32.10 (v90(constB89, bitIndex1)),
% 48.97/32.10 inference(unit_resolution,[status(thm)],[13743, 13736, 13512])).
% 48.97/32.10 tff(13745,plain,
% 48.97/32.10 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB89, bitIndex0)) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex2) | v122(constB89))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB89, bitIndex0)) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex2) | v122(constB89))),
% 48.97/32.10 inference(rewrite,[status(thm)],[])).
% 48.97/32.10 tff(13746,plain,
% 48.97/32.10 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB89, bitIndex0)) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex2) | v122(constB89))),
% 48.97/32.10 inference(quant_inst,[status(thm)],[])).
% 48.97/32.10 tff(13747,plain,
% 48.97/32.10 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB89, bitIndex0)) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex2) | v122(constB89)),
% 48.97/32.10 inference(modus_ponens,[status(thm)],[13746, 13745])).
% 48.97/32.10 tff(13748,plain,
% 48.97/32.10 ((~v90(constB89, bitIndex0)) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex2)),
% 48.97/32.10 inference(unit_resolution,[status(thm)],[13747, 1789, 13604])).
% 48.97/32.10 tff(13749,plain,
% 48.97/32.10 (~v90(constB89, bitIndex0)),
% 48.97/32.10 inference(unit_resolution,[status(thm)],[13748, 13744, 13521])).
% 48.97/32.10 tff(13750,plain,
% 48.97/32.10 (v90(constB89, bitIndex0) | (~v90(constB89, bitIndex1)) | v90(constB89, bitIndex2)),
% 48.97/32.10 inference(unit_resolution,[status(thm)],[13484, 1551, 13612])).
% 48.97/32.10 tff(13751,plain,
% 48.97/32.10 ($false),
% 48.97/32.10 inference(unit_resolution,[status(thm)],[13750, 13749, 13744, 13521])).
% 48.97/32.10 tff(13752,plain,(v90(constB90, bitIndex2) | v100(constB90)), inference(lemma,lemma(discharge,[]))).
% 48.97/32.10 tff(13753,plain,
% 48.97/32.10 (v90(constB90, bitIndex2)),
% 48.97/32.10 inference(unit_resolution,[status(thm)],[13752, 13512])).
% 48.97/32.10 tff(13754,plain,
% 48.97/32.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB89, bitIndex2) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB89, bitIndex2) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, bitIndex2)))),
% 48.97/32.10 inference(rewrite,[status(thm)],[])).
% 48.97/32.10 tff(13755,plain,
% 48.97/32.10 (((~nextState(constB89, constB90)) | v90(constB89, bitIndex2) | v100(constB90) | (~v90(constB90, bitIndex2))) <=> (v90(constB89, bitIndex2) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, bitIndex2)))),
% 48.97/32.10 inference(rewrite,[status(thm)],[])).
% 48.97/32.10 tff(13756,plain,
% 48.97/32.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB89, constB90)) | v90(constB89, bitIndex2) | v100(constB90) | (~v90(constB90, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB89, bitIndex2) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, bitIndex2))))),
% 48.97/32.10 inference(monotonicity,[status(thm)],[13755])).
% 48.97/32.10 tff(13757,plain,
% 48.97/32.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB89, constB90)) | v90(constB89, bitIndex2) | v100(constB90) | (~v90(constB90, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB89, bitIndex2) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, bitIndex2)))),
% 48.97/32.10 inference(transitivity,[status(thm)],[13756, 13754])).
% 48.97/32.10 tff(13758,plain,
% 48.97/32.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB89, constB90)) | v90(constB89, bitIndex2) | v100(constB90) | (~v90(constB90, bitIndex2)))),
% 48.97/32.10 inference(quant_inst,[status(thm)],[])).
% 48.97/32.10 tff(13759,plain,
% 48.97/32.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB89, bitIndex2) | (~nextState(constB89, constB90)) | v100(constB90) | (~v90(constB90, bitIndex2))),
% 48.97/32.10 inference(modus_ponens,[status(thm)],[13758, 13757])).
% 48.97/32.10 tff(13760,plain,
% 48.97/32.10 (v90(constB89, bitIndex2) | v100(constB90) | (~v90(constB90, bitIndex2))),
% 48.97/32.10 inference(unit_resolution,[status(thm)],[13759, 81, 13506])).
% 48.97/32.10 tff(13761,plain,
% 48.97/32.10 ($false),
% 48.97/32.10 inference(unit_resolution,[status(thm)],[13760, 13753, 13512, 13481])).
% 48.97/32.10 tff(13762,plain,(v100(constB90)), inference(lemma,lemma(discharge,[]))).
% 48.97/32.10 tff(13763,plain,
% 48.97/32.10 (((~![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)))),
% 48.97/32.10 inference(rewrite,[status(thm)],[])).
% 48.97/32.10 tff(13764,plain,
% 48.97/32.10 (((~v90(constB90, bitIndex2)) | (~v100(constB90)) | v129(constB90, bitIndex2)) <=> ((~v90(constB90, bitIndex2)) | v129(constB90, bitIndex2) | (~v100(constB90)))),
% 48.97/32.10 inference(rewrite,[status(thm)],[])).
% 48.97/32.10 tff(13765,plain,
% 48.97/32.10 (((~![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))))),
% 48.97/32.10 inference(monotonicity,[status(thm)],[13764])).
% 48.97/32.10 tff(13766,plain,
% 48.97/32.10 (((~![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)))),
% 48.97/32.10 inference(transitivity,[status(thm)],[13765, 13763])).
% 48.97/32.10 tff(13767,plain,
% 48.97/32.10 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB90, bitIndex2)) | (~v100(constB90)) | v129(constB90, bitIndex2))),
% 48.97/32.10 inference(quant_inst,[status(thm)],[])).
% 48.97/32.10 tff(13768,plain,
% 48.97/32.10 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB90, bitIndex2)) | v129(constB90, bitIndex2) | (~v100(constB90))),
% 48.97/32.10 inference(modus_ponens,[status(thm)],[13767, 13766])).
% 48.97/32.10 tff(13769,plain,
% 48.97/32.10 ((~v90(constB90, bitIndex2)) | v129(constB90, bitIndex2)),
% 48.97/32.10 inference(unit_resolution,[status(thm)],[13768, 1258, 13762])).
% 48.97/32.10 tff(13770,plain,
% 48.97/32.10 (~v90(constB90, bitIndex2)),
% 48.97/32.10 inference(unit_resolution,[status(thm)],[13769, 13511])).
% 48.97/32.10 tff(13771,plain,
% 48.97/32.10 (v90(constB90, bitIndex1) | (~v129(constB90, bitIndex1))),
% 48.97/32.10 inference(unit_resolution,[status(thm)],[13658, 711, 13762])).
% 48.97/32.10 tff(13772,plain,
% 48.97/32.10 (~v129(constB90, bitIndex1)),
% 48.97/32.10 inference(unit_resolution,[status(thm)],[13771, 13522])).
% 48.97/32.10 tff(13773,plain,
% 48.97/32.10 (~v127(constB89, bitIndex1)),
% 48.97/32.10 inference(unit_resolution,[status(thm)],[13664, 13772])).
% 48.97/32.10 tff(13774,plain,
% 48.97/32.10 (~v130(constB89, bitIndex1)),
% 48.97/32.10 inference(unit_resolution,[status(thm)],[13669, 13773])).
% 48.97/32.10 tff(13775,plain,
% 48.97/32.10 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB89)) | v130(constB89, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB89)) | v130(constB89, bitIndex1))),
% 48.97/32.10 inference(rewrite,[status(thm)],[])).
% 48.97/32.10 tff(13776,plain,
% 48.97/32.10 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB89)) | v130(constB89, bitIndex1))),
% 48.97/32.10 inference(quant_inst,[status(thm)],[])).
% 48.97/32.10 tff(13777,plain,
% 48.97/32.10 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB89)) | v130(constB89, bitIndex1)),
% 48.97/32.10 inference(modus_ponens,[status(thm)],[13776, 13775])).
% 48.97/32.10 tff(13778,plain,
% 48.97/32.10 (~v121(constB89)),
% 48.97/32.10 inference(unit_resolution,[status(thm)],[13777, 1707, 13774])).
% 48.97/32.10 tff(13779,plain,
% 48.97/32.10 (((~![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)))),
% 48.97/32.10 inference(rewrite,[status(thm)],[])).
% 48.97/32.10 tff(13780,plain,
% 48.97/32.10 ((v90(constB90, bitIndex2) | (~v100(constB90)) | (~v129(constB90, bitIndex2))) <=> (v90(constB90, bitIndex2) | (~v129(constB90, bitIndex2)) | (~v100(constB90)))),
% 48.97/32.10 inference(rewrite,[status(thm)],[])).
% 48.97/32.10 tff(13781,plain,
% 48.97/32.10 (((~![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))))),
% 48.97/32.10 inference(monotonicity,[status(thm)],[13780])).
% 48.97/32.10 tff(13782,plain,
% 48.97/32.10 (((~![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)))),
% 48.97/32.10 inference(transitivity,[status(thm)],[13781, 13779])).
% 48.97/32.10 tff(13783,plain,
% 48.97/32.10 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB90, bitIndex2) | (~v100(constB90)) | (~v129(constB90, bitIndex2)))),
% 48.97/32.10 inference(quant_inst,[status(thm)],[])).
% 48.97/32.10 tff(13784,plain,
% 48.97/32.10 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB90, bitIndex2) | (~v129(constB90, bitIndex2)) | (~v100(constB90))),
% 48.97/32.10 inference(modus_ponens,[status(thm)],[13783, 13782])).
% 48.97/32.10 tff(13785,plain,
% 48.97/32.10 (v90(constB90, bitIndex2) | (~v129(constB90, bitIndex2))),
% 48.97/32.10 inference(unit_resolution,[status(thm)],[13784, 381, 13762])).
% 48.97/32.10 tff(13786,plain,
% 48.97/32.10 (~v129(constB90, bitIndex2)),
% 48.97/32.10 inference(unit_resolution,[status(thm)],[13785, 13513])).
% 48.97/32.10 tff(13787,plain,
% 48.97/32.10 (((~![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))),
% 48.97/32.10 inference(rewrite,[status(thm)],[])).
% 48.97/32.10 tff(13788,plain,
% 48.97/32.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB89, constB90)) | (~v127(constB89, bitIndex2)) | v129(constB90, bitIndex2))),
% 48.97/32.10 inference(quant_inst,[status(thm)],[])).
% 48.97/32.10 tff(13789,plain,
% 48.97/32.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB89, constB90)) | (~v127(constB89, bitIndex2)) | v129(constB90, bitIndex2)),
% 48.97/32.10 inference(modus_ponens,[status(thm)],[13788, 13787])).
% 48.97/32.10 tff(13790,plain,
% 48.97/32.10 ((~v127(constB89, bitIndex2)) | v129(constB90, bitIndex2)),
% 48.97/32.10 inference(unit_resolution,[status(thm)],[13789, 366, 13506])).
% 48.97/32.10 tff(13791,plain,
% 48.97/32.10 (~v127(constB89, bitIndex2)),
% 48.97/32.10 inference(unit_resolution,[status(thm)],[13790, 13786])).
% 48.97/32.10 tff(13792,plain,
% 48.97/32.10 (((~![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))) | v26(constB89) | (~v130(constB89, bitIndex2)) | v127(constB89, bitIndex2))),
% 48.97/32.10 inference(rewrite,[status(thm)],[])).
% 48.97/32.10 tff(13793,plain,
% 48.97/32.10 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB89) | (~v130(constB89, bitIndex2)) | v127(constB89, bitIndex2))),
% 48.97/32.10 inference(quant_inst,[status(thm)],[])).
% 48.97/32.10 tff(13794,plain,
% 48.97/32.10 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB89) | (~v130(constB89, bitIndex2)) | v127(constB89, bitIndex2)),
% 48.97/32.10 inference(modus_ponens,[status(thm)],[13793, 13792])).
% 48.97/32.10 tff(13795,plain,
% 48.97/32.10 ((~v130(constB89, bitIndex2)) | v127(constB89, bitIndex2)),
% 48.97/32.10 inference(unit_resolution,[status(thm)],[13794, 351, 13495])).
% 48.97/32.10 tff(13796,plain,
% 48.97/32.10 (~v130(constB89, bitIndex2)),
% 48.97/32.10 inference(unit_resolution,[status(thm)],[13795, 13791])).
% 48.97/32.10 tff(13797,plain,
% 48.97/32.10 (v90(constB90, bitIndex0)),
% 48.97/32.10 inference(unit_resolution,[status(thm)],[13717, 13522, 13513, 13796])).
% 48.97/32.10 tff(13798,plain,
% 48.97/32.10 (((~![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)))),
% 48.97/32.10 inference(rewrite,[status(thm)],[])).
% 48.97/32.10 tff(13799,plain,
% 48.97/32.10 (((~v90(constB90, bitIndex0)) | (~v100(constB90)) | v129(constB90, bitIndex0)) <=> ((~v90(constB90, bitIndex0)) | v129(constB90, bitIndex0) | (~v100(constB90)))),
% 48.97/32.10 inference(rewrite,[status(thm)],[])).
% 49.06/32.10 tff(13800,plain,
% 49.06/32.10 (((~![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))))),
% 49.06/32.10 inference(monotonicity,[status(thm)],[13799])).
% 49.06/32.10 tff(13801,plain,
% 49.06/32.10 (((~![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)))),
% 49.06/32.10 inference(transitivity,[status(thm)],[13800, 13798])).
% 49.06/32.10 tff(13802,plain,
% 49.06/32.10 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB90, bitIndex0)) | (~v100(constB90)) | v129(constB90, bitIndex0))),
% 49.06/32.10 inference(quant_inst,[status(thm)],[])).
% 49.06/32.10 tff(13803,plain,
% 49.06/32.10 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB90, bitIndex0)) | v129(constB90, bitIndex0) | (~v100(constB90))),
% 49.06/32.10 inference(modus_ponens,[status(thm)],[13802, 13801])).
% 49.06/32.10 tff(13804,plain,
% 49.06/32.10 ((~v90(constB90, bitIndex0)) | v129(constB90, bitIndex0)),
% 49.06/32.10 inference(unit_resolution,[status(thm)],[13803, 557, 13762])).
% 49.06/32.10 tff(13805,plain,
% 49.06/32.10 (v129(constB90, bitIndex0)),
% 49.06/32.10 inference(unit_resolution,[status(thm)],[13804, 13797])).
% 49.06/32.10 tff(13806,plain,
% 49.06/32.10 (((~![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)))),
% 49.06/32.10 inference(rewrite,[status(thm)],[])).
% 49.06/32.10 tff(13807,plain,
% 49.06/32.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB89, constB90)) | v127(constB89, bitIndex0) | (~v129(constB90, bitIndex0)))),
% 49.06/32.10 inference(quant_inst,[status(thm)],[])).
% 49.06/32.10 tff(13808,plain,
% 49.06/32.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB89, constB90)) | v127(constB89, bitIndex0) | (~v129(constB90, bitIndex0))),
% 49.06/32.10 inference(modus_ponens,[status(thm)],[13807, 13806])).
% 49.06/32.10 tff(13809,plain,
% 49.06/32.10 (v127(constB89, bitIndex0) | (~v129(constB90, bitIndex0))),
% 49.06/32.10 inference(unit_resolution,[status(thm)],[13808, 542, 13506])).
% 49.06/32.10 tff(13810,plain,
% 49.06/32.10 (v127(constB89, bitIndex0)),
% 49.06/32.10 inference(unit_resolution,[status(thm)],[13809, 13805])).
% 49.06/32.10 tff(13811,plain,
% 49.06/32.10 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB89, bitIndex0)) | v26(constB89) | v130(constB89, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB89, bitIndex0)) | v26(constB89) | v130(constB89, bitIndex0))),
% 49.06/32.10 inference(rewrite,[status(thm)],[])).
% 49.06/32.10 tff(13812,plain,
% 49.06/32.10 ((v26(constB89) | v130(constB89, bitIndex0) | (~v127(constB89, bitIndex0))) <=> ((~v127(constB89, bitIndex0)) | v26(constB89) | v130(constB89, bitIndex0))),
% 49.06/32.10 inference(rewrite,[status(thm)],[])).
% 49.06/32.10 tff(13813,plain,
% 49.06/32.10 (((~![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)))) | ((~v127(constB89, bitIndex0)) | v26(constB89) | v130(constB89, bitIndex0)))),
% 49.06/32.10 inference(monotonicity,[status(thm)],[13812])).
% 49.06/32.10 tff(13814,plain,
% 49.06/32.10 (((~![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)))) | (~v127(constB89, bitIndex0)) | v26(constB89) | v130(constB89, bitIndex0))),
% 49.06/32.11 inference(transitivity,[status(thm)],[13813, 13811])).
% 49.06/32.11 tff(13815,plain,
% 49.06/32.11 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB89) | v130(constB89, bitIndex0) | (~v127(constB89, bitIndex0)))),
% 49.06/32.11 inference(quant_inst,[status(thm)],[])).
% 49.06/32.11 tff(13816,plain,
% 49.06/32.11 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB89, bitIndex0)) | v26(constB89) | v130(constB89, bitIndex0)),
% 49.06/32.11 inference(modus_ponens,[status(thm)],[13815, 13814])).
% 49.06/32.11 tff(13817,plain,
% 49.06/32.11 ((~v127(constB89, bitIndex0)) | v130(constB89, bitIndex0)),
% 49.06/32.11 inference(unit_resolution,[status(thm)],[13816, 524, 13495])).
% 49.06/32.11 tff(13818,plain,
% 49.06/32.11 (v130(constB89, bitIndex0)),
% 49.06/32.11 inference(unit_resolution,[status(thm)],[13817, 13810])).
% 49.06/32.11 tff(13819,plain,
% 49.06/32.11 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB89)) | (~v130(constB89, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB89)) | (~v130(constB89, bitIndex0)))),
% 49.06/32.11 inference(rewrite,[status(thm)],[])).
% 49.06/32.11 tff(13820,plain,
% 49.06/32.11 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB89)) | (~v130(constB89, bitIndex0)))),
% 49.06/32.11 inference(quant_inst,[status(thm)],[])).
% 49.06/32.11 tff(13821,plain,
% 49.06/32.11 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB89)) | (~v130(constB89, bitIndex0))),
% 49.06/32.11 inference(modus_ponens,[status(thm)],[13820, 13819])).
% 49.06/32.11 tff(13822,plain,
% 49.06/32.11 (~v120(constB89)),
% 49.06/32.11 inference(unit_resolution,[status(thm)],[13821, 1492, 13818])).
% 49.06/32.11 tff(13823,plain,
% 49.06/32.11 (~v119(constB89)),
% 49.06/32.11 inference(unit_resolution,[status(thm)],[13633, 337, 13796])).
% 49.06/32.11 tff(13824,plain,
% 49.06/32.11 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))) | (v120(constB89) | v119(constB89) | (~v118(constB89)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))) | v120(constB89) | v119(constB89) | (~v118(constB89)))),
% 49.06/32.11 inference(rewrite,[status(thm)],[])).
% 49.06/32.11 tff(13825,plain,
% 49.06/32.11 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))) | (v120(constB89) | v119(constB89) | (~v118(constB89)))),
% 49.06/32.11 inference(quant_inst,[status(thm)],[])).
% 49.06/32.11 tff(13826,plain,
% 49.06/32.11 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))) | v120(constB89) | v119(constB89) | (~v118(constB89))),
% 49.06/32.11 inference(modus_ponens,[status(thm)],[13825, 13824])).
% 49.06/32.11 tff(13827,plain,
% 49.06/32.11 (v120(constB89) | (~v118(constB89))),
% 49.06/32.11 inference(unit_resolution,[status(thm)],[13826, 3085, 13823])).
% 49.06/32.11 tff(13828,plain,
% 49.06/32.11 (~v118(constB89)),
% 49.06/32.11 inference(unit_resolution,[status(thm)],[13827, 13822])).
% 49.06/32.11 tff(13829,plain,
% 49.06/32.11 (~v122(constB89)),
% 49.06/32.11 inference(unit_resolution,[status(thm)],[13703, 1876, 13796])).
% 49.06/32.11 tff(13830,plain,
% 49.06/32.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB89, constB90)) | v110(constB90) | (~v100(constB90)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB89, constB90)) | v110(constB90) | (~v100(constB90)))),
% 49.06/32.11 inference(rewrite,[status(thm)],[])).
% 49.06/32.11 tff(13831,plain,
% 49.06/32.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB89, constB90)) | v110(constB90) | (~v100(constB90)))),
% 49.06/32.11 inference(quant_inst,[status(thm)],[])).
% 49.06/32.11 tff(13832,plain,
% 49.06/32.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB89, constB90)) | v110(constB90) | (~v100(constB90))),
% 49.06/32.11 inference(modus_ponens,[status(thm)],[13831, 13830])).
% 49.06/32.11 tff(13833,plain,
% 49.06/32.11 (v110(constB90) | (~v100(constB90))),
% 49.06/32.11 inference(unit_resolution,[status(thm)],[13832, 3184, 13506])).
% 49.06/32.11 tff(13834,plain,
% 49.06/32.11 (v110(constB90)),
% 49.06/32.11 inference(unit_resolution,[status(thm)],[13833, 13762])).
% 49.06/32.11 tff(13835,plain,
% 49.06/32.11 (((~![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))),
% 49.06/32.11 inference(rewrite,[status(thm)],[])).
% 49.06/32.11 tff(13836,plain,
% 49.06/32.11 (((~nextState(constB89, constB90)) | v108(constB89) | (~v110(constB90))) <=> ((~nextState(constB89, constB90)) | (~v110(constB90)) | v108(constB89))),
% 49.06/32.11 inference(rewrite,[status(thm)],[])).
% 49.06/32.11 tff(13837,plain,
% 49.06/32.11 (((~![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)))),
% 49.06/32.11 inference(monotonicity,[status(thm)],[13836])).
% 49.06/32.11 tff(13838,plain,
% 49.06/32.11 (((~![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))),
% 49.06/32.11 inference(transitivity,[status(thm)],[13837, 13835])).
% 49.06/32.11 tff(13839,plain,
% 49.06/32.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB89, constB90)) | v108(constB89) | (~v110(constB90)))),
% 49.06/32.11 inference(quant_inst,[status(thm)],[])).
% 49.06/32.11 tff(13840,plain,
% 49.06/32.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB89, constB90)) | (~v110(constB90)) | v108(constB89)),
% 49.06/32.11 inference(modus_ponens,[status(thm)],[13839, 13838])).
% 49.06/32.11 tff(13841,plain,
% 49.06/32.11 ((~v110(constB90)) | v108(constB89)),
% 49.06/32.11 inference(unit_resolution,[status(thm)],[13840, 3199, 13506])).
% 49.06/32.11 tff(13842,plain,
% 49.06/32.11 (v108(constB89)),
% 49.06/32.11 inference(unit_resolution,[status(thm)],[13841, 13834])).
% 49.06/32.11 tff(13843,plain,
% 49.06/32.11 (((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | ((~v108(constB89)) | v26(constB89) | v112(constB89))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB89)) | v26(constB89) | v112(constB89))),
% 49.06/32.11 inference(rewrite,[status(thm)],[])).
% 49.06/32.11 tff(13844,plain,
% 49.06/32.11 ((v26(constB89) | v112(constB89) | (~v108(constB89))) <=> ((~v108(constB89)) | v26(constB89) | v112(constB89))),
% 49.06/32.11 inference(rewrite,[status(thm)],[])).
% 49.06/32.11 tff(13845,plain,
% 49.06/32.11 (((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB89) | v112(constB89) | (~v108(constB89)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | ((~v108(constB89)) | v26(constB89) | v112(constB89)))),
% 49.06/32.11 inference(monotonicity,[status(thm)],[13844])).
% 49.06/32.11 tff(13846,plain,
% 49.06/32.11 (((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB89) | v112(constB89) | (~v108(constB89)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB89)) | v26(constB89) | v112(constB89))),
% 49.06/32.11 inference(transitivity,[status(thm)],[13845, 13843])).
% 49.06/32.11 tff(13847,plain,
% 49.06/32.11 ((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB89) | v112(constB89) | (~v108(constB89)))),
% 49.06/32.11 inference(quant_inst,[status(thm)],[])).
% 49.06/32.11 tff(13848,plain,
% 49.06/32.11 ((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB89)) | v26(constB89) | v112(constB89)),
% 49.06/32.11 inference(modus_ponens,[status(thm)],[13847, 13846])).
% 49.06/32.11 tff(13849,plain,
% 49.06/32.11 ((~v108(constB89)) | v112(constB89)),
% 49.06/32.11 inference(unit_resolution,[status(thm)],[13848, 3217, 13495])).
% 49.06/32.11 tff(13850,plain,
% 49.06/32.11 (v112(constB89)),
% 49.06/32.11 inference(unit_resolution,[status(thm)],[13849, 13842])).
% 49.06/32.11 tff(13851,plain,
% 49.06/32.11 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))) | (v113(constB89) | (~v112(constB89)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))) | v113(constB89) | (~v112(constB89)))),
% 49.06/32.11 inference(rewrite,[status(thm)],[])).
% 49.06/32.11 tff(13852,plain,
% 49.06/32.11 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))) | (v113(constB89) | (~v112(constB89)))),
% 49.06/32.11 inference(quant_inst,[status(thm)],[])).
% 49.06/32.11 tff(13853,plain,
% 49.06/32.11 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))) | v113(constB89) | (~v112(constB89))),
% 49.06/32.11 inference(modus_ponens,[status(thm)],[13852, 13851])).
% 49.06/32.11 tff(13854,plain,
% 49.06/32.11 (v113(constB89)),
% 49.06/32.11 inference(unit_resolution,[status(thm)],[13853, 3232, 13850])).
% 49.06/32.11 tff(13855,plain,
% 49.06/32.11 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v125(VarCurr)))) | (v90(constB89, bitIndex2) | (~v125(constB89)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v125(VarCurr)))) | v90(constB89, bitIndex2) | (~v125(constB89)))),
% 49.06/32.11 inference(rewrite,[status(thm)],[])).
% 49.06/32.11 tff(13856,plain,
% 49.06/32.11 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v125(VarCurr)))) | (v90(constB89, bitIndex2) | (~v125(constB89)))),
% 49.06/32.11 inference(quant_inst,[status(thm)],[])).
% 49.06/32.11 tff(13857,plain,
% 49.06/32.11 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v125(VarCurr)))) | v90(constB89, bitIndex2) | (~v125(constB89))),
% 49.06/32.11 inference(modus_ponens,[status(thm)],[13856, 13855])).
% 49.06/32.11 tff(13858,plain,
% 49.06/32.11 (~v125(constB89)),
% 49.06/32.11 inference(unit_resolution,[status(thm)],[13857, 3258, 13481])).
% 49.06/32.11 tff(13859,plain,
% 49.06/32.11 (((~![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | (v114(constB89) | v125(constB89) | (~v113(constB89)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | v114(constB89) | v125(constB89) | (~v113(constB89)))),
% 49.06/32.11 inference(rewrite,[status(thm)],[])).
% 49.06/32.11 tff(13860,plain,
% 49.06/32.11 ((~![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | (v114(constB89) | v125(constB89) | (~v113(constB89)))),
% 49.06/32.11 inference(quant_inst,[status(thm)],[])).
% 49.06/32.11 tff(13861,plain,
% 49.06/32.11 ((~![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | v114(constB89) | v125(constB89) | (~v113(constB89))),
% 49.06/32.11 inference(modus_ponens,[status(thm)],[13860, 13859])).
% 49.06/32.11 tff(13862,plain,
% 49.06/32.11 (v114(constB89) | (~v113(constB89))),
% 49.06/32.11 inference(unit_resolution,[status(thm)],[13861, 3246, 13858])).
% 49.06/32.11 tff(13863,plain,
% 49.06/32.11 (v114(constB89)),
% 49.06/32.11 inference(unit_resolution,[status(thm)],[13862, 13854])).
% 49.06/32.11 tff(13864,plain,
% 49.06/32.11 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | (v90(constB89, bitIndex2) | (~v124(constB89)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | v90(constB89, bitIndex2) | (~v124(constB89)))),
% 49.06/32.11 inference(rewrite,[status(thm)],[])).
% 49.06/32.11 tff(13865,plain,
% 49.06/32.11 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | (v90(constB89, bitIndex2) | (~v124(constB89)))),
% 49.06/32.11 inference(quant_inst,[status(thm)],[])).
% 49.06/32.11 tff(13866,plain,
% 49.06/32.11 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | v90(constB89, bitIndex2) | (~v124(constB89))),
% 49.06/32.11 inference(modus_ponens,[status(thm)],[13865, 13864])).
% 49.06/32.11 tff(13867,plain,
% 49.06/32.11 (~v124(constB89)),
% 49.06/32.11 inference(unit_resolution,[status(thm)],[13866, 3353, 13481])).
% 49.06/32.11 tff(13868,plain,
% 49.06/32.11 (((~![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | (v115(constB89) | v124(constB89) | (~v114(constB89)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | v115(constB89) | v124(constB89) | (~v114(constB89)))),
% 49.06/32.11 inference(rewrite,[status(thm)],[])).
% 49.06/32.11 tff(13869,plain,
% 49.06/32.11 ((~![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | (v115(constB89) | v124(constB89) | (~v114(constB89)))),
% 49.06/32.11 inference(quant_inst,[status(thm)],[])).
% 49.06/32.11 tff(13870,plain,
% 49.06/32.11 ((~![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | v115(constB89) | v124(constB89) | (~v114(constB89))),
% 49.06/32.11 inference(modus_ponens,[status(thm)],[13869, 13868])).
% 49.06/32.11 tff(13871,plain,
% 49.06/32.11 (v115(constB89) | (~v114(constB89))),
% 49.06/32.11 inference(unit_resolution,[status(thm)],[13870, 3169, 13867])).
% 49.06/32.11 tff(13872,plain,
% 49.06/32.11 (v115(constB89)),
% 49.06/32.11 inference(unit_resolution,[status(thm)],[13871, 13863])).
% 49.06/32.11 tff(13873,plain,
% 49.06/32.11 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | (v90(constB89, bitIndex2) | (~v123(constB89)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | v90(constB89, bitIndex2) | (~v123(constB89)))),
% 49.06/32.11 inference(rewrite,[status(thm)],[])).
% 49.06/32.11 tff(13874,plain,
% 49.06/32.11 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | (v90(constB89, bitIndex2) | (~v123(constB89)))),
% 49.06/32.11 inference(quant_inst,[status(thm)],[])).
% 49.06/32.11 tff(13875,plain,
% 49.06/32.11 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | v90(constB89, bitIndex2) | (~v123(constB89))),
% 49.06/32.11 inference(modus_ponens,[status(thm)],[13874, 13873])).
% 49.06/32.11 tff(13876,plain,
% 49.06/32.11 (~v123(constB89)),
% 49.06/32.11 inference(unit_resolution,[status(thm)],[13875, 3342, 13481])).
% 49.06/32.11 tff(13877,plain,
% 49.06/32.11 (((~![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | (v116(constB89) | v123(constB89) | (~v115(constB89)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | v116(constB89) | v123(constB89) | (~v115(constB89)))),
% 49.06/32.11 inference(rewrite,[status(thm)],[])).
% 49.06/32.11 tff(13878,plain,
% 49.06/32.11 ((~![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | (v116(constB89) | v123(constB89) | (~v115(constB89)))),
% 49.06/32.11 inference(quant_inst,[status(thm)],[])).
% 49.06/32.11 tff(13879,plain,
% 49.06/32.11 ((~![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | v116(constB89) | v123(constB89) | (~v115(constB89))),
% 49.06/32.11 inference(modus_ponens,[status(thm)],[13878, 13877])).
% 49.06/32.11 tff(13880,plain,
% 49.06/32.11 (v116(constB89) | (~v115(constB89))),
% 49.06/32.11 inference(unit_resolution,[status(thm)],[13879, 3140, 13876])).
% 49.06/32.11 tff(13881,plain,
% 49.06/32.11 (v116(constB89)),
% 49.06/32.11 inference(unit_resolution,[status(thm)],[13880, 13872])).
% 49.06/32.11 tff(13882,plain,
% 49.06/32.11 (((~![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | (v117(constB89) | v122(constB89) | (~v116(constB89)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | v117(constB89) | v122(constB89) | (~v116(constB89)))),
% 49.06/32.11 inference(rewrite,[status(thm)],[])).
% 49.06/32.11 tff(13883,plain,
% 49.06/32.11 ((~![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | (v117(constB89) | v122(constB89) | (~v116(constB89)))),
% 49.06/32.11 inference(quant_inst,[status(thm)],[])).
% 49.06/32.11 tff(13884,plain,
% 49.06/32.11 ((~![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | v117(constB89) | v122(constB89) | (~v116(constB89))),
% 49.06/32.11 inference(modus_ponens,[status(thm)],[13883, 13882])).
% 49.06/32.11 tff(13885,plain,
% 49.06/32.11 (v117(constB89) | v122(constB89)),
% 49.06/32.11 inference(unit_resolution,[status(thm)],[13884, 3121, 13881])).
% 49.06/32.11 tff(13886,plain,
% 49.06/32.11 (v117(constB89)),
% 49.06/32.11 inference(unit_resolution,[status(thm)],[13885, 13829])).
% 49.06/32.11 tff(13887,plain,
% 49.06/32.11 (((~![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | (v118(constB89) | v121(constB89) | (~v117(constB89)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | v118(constB89) | v121(constB89) | (~v117(constB89)))),
% 49.06/32.11 inference(rewrite,[status(thm)],[])).
% 49.06/32.11 tff(13888,plain,
% 49.06/32.11 ((~![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | (v118(constB89) | v121(constB89) | (~v117(constB89)))),
% 49.06/32.11 inference(quant_inst,[status(thm)],[])).
% 49.06/32.11 tff(13889,plain,
% 49.06/32.11 ((~![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | v118(constB89) | v121(constB89) | (~v117(constB89))),
% 49.06/32.11 inference(modus_ponens,[status(thm)],[13888, 13887])).
% 49.06/32.11 tff(13890,plain,
% 49.06/32.11 (v118(constB89) | v121(constB89)),
% 49.06/32.11 inference(unit_resolution,[status(thm)],[13889, 3103, 13886])).
% 49.06/32.11 tff(13891,plain,
% 49.06/32.11 ($false),
% 49.06/32.11 inference(unit_resolution,[status(thm)],[13890, 13828, 13778])).
% 49.06/32.11 tff(13892,plain,(v90(constB90, bitIndex1) | v90(constB90, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 49.06/32.11 tff(13893,plain,
% 49.06/32.11 (v90(constB90, bitIndex1)),
% 49.06/32.11 inference(unit_resolution,[status(thm)],[13892, 13513])).
% 49.06/32.11 tff(13894,plain,
% 49.06/32.11 (((~![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)))),
% 49.06/32.11 inference(rewrite,[status(thm)],[])).
% 49.06/32.11 tff(13895,plain,
% 49.06/32.11 (((~v90(constB90, bitIndex1)) | (~v100(constB90)) | v129(constB90, bitIndex1)) <=> ((~v90(constB90, bitIndex1)) | v129(constB90, bitIndex1) | (~v100(constB90)))),
% 49.06/32.11 inference(rewrite,[status(thm)],[])).
% 49.06/32.11 tff(13896,plain,
% 49.06/32.11 (((~![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))))),
% 49.06/32.11 inference(monotonicity,[status(thm)],[13895])).
% 49.06/32.11 tff(13897,plain,
% 49.06/32.11 (((~![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)))),
% 49.06/32.11 inference(transitivity,[status(thm)],[13896, 13894])).
% 49.06/32.11 tff(13898,plain,
% 49.06/32.11 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB90, bitIndex1)) | (~v100(constB90)) | v129(constB90, bitIndex1))),
% 49.06/32.11 inference(quant_inst,[status(thm)],[])).
% 49.06/32.11 tff(13899,plain,
% 49.06/32.11 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB90, bitIndex1)) | v129(constB90, bitIndex1) | (~v100(constB90))),
% 49.06/32.11 inference(modus_ponens,[status(thm)],[13898, 13897])).
% 49.06/32.11 tff(13900,plain,
% 49.06/32.11 ((~v90(constB90, bitIndex1)) | v129(constB90, bitIndex1)),
% 49.06/32.11 inference(unit_resolution,[status(thm)],[13899, 483, 13762])).
% 49.06/32.11 tff(13901,plain,
% 49.06/32.11 (v129(constB90, bitIndex1)),
% 49.06/32.11 inference(unit_resolution,[status(thm)],[13900, 13893])).
% 49.06/32.11 tff(13902,plain,
% 49.06/32.11 (((~![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)))),
% 49.06/32.11 inference(rewrite,[status(thm)],[])).
% 49.06/32.11 tff(13903,plain,
% 49.06/32.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB89, constB90)) | v127(constB89, bitIndex1) | (~v129(constB90, bitIndex1)))),
% 49.06/32.11 inference(quant_inst,[status(thm)],[])).
% 49.06/32.11 tff(13904,plain,
% 49.06/32.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB89, constB90)) | v127(constB89, bitIndex1) | (~v129(constB90, bitIndex1))),
% 49.06/32.11 inference(modus_ponens,[status(thm)],[13903, 13902])).
% 49.06/32.11 tff(13905,plain,
% 49.06/32.11 (v127(constB89, bitIndex1) | (~v129(constB90, bitIndex1))),
% 49.06/32.11 inference(unit_resolution,[status(thm)],[13904, 468, 13506])).
% 49.06/32.11 tff(13906,plain,
% 49.06/32.11 (v127(constB89, bitIndex1)),
% 49.06/32.11 inference(unit_resolution,[status(thm)],[13905, 13901])).
% 49.06/32.11 tff(13907,plain,
% 49.06/32.11 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB89, bitIndex1)) | v26(constB89) | v130(constB89, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB89, bitIndex1)) | v26(constB89) | v130(constB89, bitIndex1))),
% 49.06/32.11 inference(rewrite,[status(thm)],[])).
% 49.06/32.11 tff(13908,plain,
% 49.06/32.11 ((v26(constB89) | v130(constB89, bitIndex1) | (~v127(constB89, bitIndex1))) <=> ((~v127(constB89, bitIndex1)) | v26(constB89) | v130(constB89, bitIndex1))),
% 49.06/32.11 inference(rewrite,[status(thm)],[])).
% 49.06/32.11 tff(13909,plain,
% 49.06/32.11 (((~![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)))) | ((~v127(constB89, bitIndex1)) | v26(constB89) | v130(constB89, bitIndex1)))),
% 49.06/32.11 inference(monotonicity,[status(thm)],[13908])).
% 49.06/32.11 tff(13910,plain,
% 49.06/32.11 (((~![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)))) | (~v127(constB89, bitIndex1)) | v26(constB89) | v130(constB89, bitIndex1))),
% 49.06/32.11 inference(transitivity,[status(thm)],[13909, 13907])).
% 49.06/32.11 tff(13911,plain,
% 49.06/32.11 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB89) | v130(constB89, bitIndex1) | (~v127(constB89, bitIndex1)))),
% 49.06/32.11 inference(quant_inst,[status(thm)],[])).
% 49.06/32.11 tff(13912,plain,
% 49.06/32.11 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB89, bitIndex1)) | v26(constB89) | v130(constB89, bitIndex1)),
% 49.06/32.11 inference(modus_ponens,[status(thm)],[13911, 13910])).
% 49.06/32.11 tff(13913,plain,
% 49.06/32.11 ((~v127(constB89, bitIndex1)) | v130(constB89, bitIndex1)),
% 49.06/32.11 inference(unit_resolution,[status(thm)],[13912, 450, 13495])).
% 49.06/32.11 tff(13914,plain,
% 49.06/32.11 (v130(constB89, bitIndex1)),
% 49.06/32.11 inference(unit_resolution,[status(thm)],[13913, 13906])).
% 49.06/32.11 tff(13915,plain,
% 49.06/32.11 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB89)) | (~v130(constB89, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB89)) | (~v130(constB89, bitIndex1)))),
% 49.06/32.11 inference(rewrite,[status(thm)],[])).
% 49.06/32.11 tff(13916,plain,
% 49.06/32.11 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB89)) | (~v130(constB89, bitIndex1)))),
% 49.06/32.11 inference(quant_inst,[status(thm)],[])).
% 49.06/32.11 tff(13917,plain,
% 49.06/32.11 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB89)) | (~v130(constB89, bitIndex1))),
% 49.06/32.11 inference(modus_ponens,[status(thm)],[13916, 13915])).
% 49.06/32.11 tff(13918,plain,
% 49.06/32.11 (~v119(constB89)),
% 49.06/32.11 inference(unit_resolution,[status(thm)],[13917, 436, 13914])).
% 49.06/32.11 tff(13919,plain,
% 49.06/32.11 ((~v1(constB91)) <=> (~v1(constB91))),
% 49.06/32.11 inference(rewrite,[status(thm)],[])).
% 49.06/32.11 tff(13920,axiom,(~v1(constB91)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_91_1_1')).
% 49.06/32.11 tff(13921,plain,
% 49.06/32.11 (~v1(constB91)),
% 49.06/32.11 inference(modus_ponens,[status(thm)],[13920, 13919])).
% 49.06/32.11 tff(13922,plain,
% 49.06/32.11 (nextState(constB90, constB91) <=> nextState(constB90, constB91)),
% 49.06/32.11 inference(rewrite,[status(thm)],[])).
% 49.06/32.11 tff(13923,axiom,(nextState(constB90, constB91)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_90_1')).
% 49.06/32.11 tff(13924,plain,
% 49.06/32.11 (nextState(constB90, constB91)),
% 49.06/32.11 inference(modus_ponens,[status(thm)],[13923, 13922])).
% 49.06/32.11 tff(13925,plain,
% 49.06/32.11 (((~![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)))),
% 49.06/32.11 inference(rewrite,[status(thm)],[])).
% 49.06/32.11 tff(13926,plain,
% 49.06/32.11 (((~nextState(constB90, constB91)) | (~v101(constB91)) | v1(constB91)) <=> (v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91)))),
% 49.06/32.11 inference(rewrite,[status(thm)],[])).
% 49.06/32.11 tff(13927,plain,
% 49.06/32.11 (((~![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))))),
% 49.06/32.11 inference(monotonicity,[status(thm)],[13926])).
% 49.06/32.11 tff(13928,plain,
% 49.06/32.11 (((~![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)))),
% 49.06/32.11 inference(transitivity,[status(thm)],[13927, 13925])).
% 49.06/32.11 tff(13929,plain,
% 49.06/32.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB90, constB91)) | (~v101(constB91)) | v1(constB91))),
% 49.06/32.11 inference(quant_inst,[status(thm)],[])).
% 49.06/32.11 tff(13930,plain,
% 49.06/32.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91))),
% 49.06/32.11 inference(modus_ponens,[status(thm)],[13929, 13928])).
% 49.06/32.11 tff(13931,plain,
% 49.06/32.11 (~v101(constB91)),
% 49.06/32.11 inference(unit_resolution,[status(thm)],[13930, 49, 13924, 13921])).
% 49.06/32.11 tff(13932,plain,
% 49.06/32.11 (((~![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)))),
% 49.06/32.11 inference(rewrite,[status(thm)],[])).
% 49.06/32.11 tff(13933,plain,
% 49.06/32.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB90, constB91)) | v101(constB91) | (~v100(constB91)))),
% 49.06/32.11 inference(quant_inst,[status(thm)],[])).
% 49.06/32.11 tff(13934,plain,
% 49.06/32.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB90, constB91)) | v101(constB91) | (~v100(constB91))),
% 49.06/32.11 inference(modus_ponens,[status(thm)],[13933, 13932])).
% 49.06/32.11 tff(13935,plain,
% 49.06/32.11 (v101(constB91) | (~v100(constB91))),
% 49.06/32.11 inference(unit_resolution,[status(thm)],[13934, 66, 13924])).
% 49.06/32.11 tff(13936,plain,
% 49.06/32.11 (~v100(constB91)),
% 49.06/32.11 inference(unit_resolution,[status(thm)],[13935, 13931])).
% 49.06/32.11 tff(13937,plain,
% 49.06/32.11 (((~![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)))),
% 49.06/32.11 inference(rewrite,[status(thm)],[])).
% 49.06/32.11 tff(13938,plain,
% 49.06/32.11 (((~nextState(constB90, constB91)) | v90(constB90, bitIndex2) | v100(constB91) | (~v90(constB91, bitIndex2))) <=> (v90(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, bitIndex2)))),
% 49.06/32.11 inference(rewrite,[status(thm)],[])).
% 49.06/32.11 tff(13939,plain,
% 49.06/32.11 (((~![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))))),
% 49.06/32.11 inference(monotonicity,[status(thm)],[13938])).
% 49.06/32.11 tff(13940,plain,
% 49.06/32.11 (((~![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)))),
% 49.06/32.11 inference(transitivity,[status(thm)],[13939, 13937])).
% 49.06/32.11 tff(13941,plain,
% 49.06/32.11 ((~![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)))),
% 49.06/32.11 inference(quant_inst,[status(thm)],[])).
% 49.06/32.11 tff(13942,plain,
% 49.06/32.11 ((~![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))),
% 49.06/32.11 inference(modus_ponens,[status(thm)],[13941, 13940])).
% 49.06/32.11 tff(13943,plain,
% 49.06/32.11 (v90(constB90, bitIndex2) | v100(constB91) | (~v90(constB91, bitIndex2))),
% 49.06/32.11 inference(unit_resolution,[status(thm)],[13942, 81, 13924])).
% 49.06/32.11 tff(13944,plain,
% 49.06/32.11 (v90(constB90, bitIndex2) | (~v90(constB91, bitIndex2))),
% 49.06/32.11 inference(unit_resolution,[status(thm)],[13943, 13936])).
% 49.06/32.11 tff(13945,plain,
% 49.06/32.11 (~v90(constB91, bitIndex2)),
% 49.06/32.11 inference(unit_resolution,[status(thm)],[13944, 13513])).
% 49.06/32.11 tff(13946,plain,
% 49.06/32.11 (((~![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))),
% 49.06/32.11 inference(rewrite,[status(thm)],[])).
% 49.06/32.11 tff(13947,plain,
% 49.06/32.11 (((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex1)) | v100(constB91) | v90(constB91, bitIndex1)) <=> ((~v90(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex1))),
% 49.06/32.11 inference(rewrite,[status(thm)],[])).
% 49.06/32.11 tff(13948,plain,
% 49.06/32.11 (((~![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)))),
% 49.06/32.11 inference(monotonicity,[status(thm)],[13947])).
% 49.06/32.11 tff(13949,plain,
% 49.06/32.11 (((~![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))),
% 49.06/32.11 inference(transitivity,[status(thm)],[13948, 13946])).
% 49.06/32.11 tff(13950,plain,
% 49.06/32.11 ((~![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))),
% 49.06/32.11 inference(quant_inst,[status(thm)],[])).
% 49.06/32.11 tff(13951,plain,
% 49.06/32.11 ((~![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)),
% 49.06/32.11 inference(modus_ponens,[status(thm)],[13950, 13949])).
% 49.06/32.11 tff(13952,plain,
% 49.06/32.11 ((~v90(constB90, bitIndex1)) | v100(constB91) | v90(constB91, bitIndex1)),
% 49.06/32.11 inference(unit_resolution,[status(thm)],[13951, 747, 13924])).
% 49.06/32.11 tff(13953,plain,
% 49.06/32.11 ((~v90(constB90, bitIndex1)) | v90(constB91, bitIndex1)),
% 49.06/32.11 inference(unit_resolution,[status(thm)],[13952, 13936])).
% 49.06/32.11 tff(13954,plain,
% 49.06/32.11 (v90(constB91, bitIndex1)),
% 49.06/32.11 inference(unit_resolution,[status(thm)],[13953, 13893])).
% 49.06/32.11 tff(13955,assumption,(~v122(constB91)), introduced(assumption)).
% 49.06/32.11 tff(13956,plain,
% 49.06/32.11 (((~![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))),
% 49.06/32.11 inference(rewrite,[status(thm)],[])).
% 49.06/32.11 tff(13957,plain,
% 49.06/32.11 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB91, bitIndex0)) | (~v90(constB91, bitIndex1)) | v90(constB91, bitIndex2) | v122(constB91))),
% 49.06/32.11 inference(quant_inst,[status(thm)],[])).
% 49.06/32.11 tff(13958,plain,
% 49.06/32.11 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB91, bitIndex0)) | (~v90(constB91, bitIndex1)) | v90(constB91, bitIndex2) | v122(constB91)),
% 49.06/32.11 inference(modus_ponens,[status(thm)],[13957, 13956])).
% 49.06/32.11 tff(13959,plain,
% 49.06/32.11 ((~v90(constB91, bitIndex0)) | (~v90(constB91, bitIndex1)) | v90(constB91, bitIndex2)),
% 49.06/32.11 inference(unit_resolution,[status(thm)],[13958, 1789, 13955])).
% 49.06/32.11 tff(13960,plain,
% 49.06/32.11 (~v90(constB91, bitIndex0)),
% 49.06/32.11 inference(unit_resolution,[status(thm)],[13959, 13954, 13945])).
% 49.06/32.11 tff(13961,plain,
% 49.06/32.11 (((~![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))),
% 49.06/32.11 inference(rewrite,[status(thm)],[])).
% 49.06/32.11 tff(13962,plain,
% 49.06/32.11 (((~nextState(constB90, constB91)) | (~v90(constB90, bitIndex0)) | v100(constB91) | v90(constB91, bitIndex0)) <=> ((~v90(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, bitIndex0))),
% 49.06/32.11 inference(rewrite,[status(thm)],[])).
% 49.06/32.11 tff(13963,plain,
% 49.06/32.11 (((~![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)))),
% 49.06/32.11 inference(monotonicity,[status(thm)],[13962])).
% 49.06/32.11 tff(13964,plain,
% 49.06/32.11 (((~![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))),
% 49.06/32.11 inference(transitivity,[status(thm)],[13963, 13961])).
% 49.06/32.11 tff(13965,plain,
% 49.06/32.11 ((~![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))),
% 49.06/32.12 inference(quant_inst,[status(thm)],[])).
% 49.06/32.12 tff(13966,plain,
% 49.06/32.12 ((~![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)),
% 49.06/32.12 inference(modus_ponens,[status(thm)],[13965, 13964])).
% 49.06/32.12 tff(13967,plain,
% 49.06/32.12 ((~v90(constB90, bitIndex0)) | v100(constB91) | v90(constB91, bitIndex0)),
% 49.06/32.12 inference(unit_resolution,[status(thm)],[13966, 1124, 13924])).
% 49.06/32.12 tff(13968,plain,
% 49.06/32.12 ((~v90(constB90, bitIndex0)) | v90(constB91, bitIndex0)),
% 49.06/32.12 inference(unit_resolution,[status(thm)],[13967, 13936])).
% 49.06/32.12 tff(13969,plain,
% 49.06/32.12 (~v90(constB90, bitIndex0)),
% 49.06/32.12 inference(unit_resolution,[status(thm)],[13968, 13960])).
% 49.06/32.12 tff(13970,plain,
% 49.06/32.12 (v90(constB90, bitIndex0) | (~v129(constB90, bitIndex0))),
% 49.06/32.12 inference(unit_resolution,[status(thm)],[13680, 1088, 13762])).
% 49.06/32.12 tff(13971,plain,
% 49.06/32.12 (~v129(constB90, bitIndex0)),
% 49.06/32.12 inference(unit_resolution,[status(thm)],[13970, 13969])).
% 49.06/32.12 tff(13972,plain,
% 49.06/32.12 (~v127(constB89, bitIndex0)),
% 49.06/32.12 inference(unit_resolution,[status(thm)],[13686, 13971])).
% 49.06/32.12 tff(13973,plain,
% 49.06/32.12 (~v130(constB89, bitIndex0)),
% 49.06/32.12 inference(unit_resolution,[status(thm)],[13691, 13972])).
% 49.06/32.12 tff(13974,plain,
% 49.06/32.12 (~v121(constB89)),
% 49.06/32.12 inference(unit_resolution,[status(thm)],[13699, 1748, 13973])).
% 49.06/32.12 tff(13975,plain,
% 49.06/32.12 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB89, bitIndex0) | (~v122(constB89)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB89, bitIndex0) | (~v122(constB89)))),
% 49.06/32.12 inference(rewrite,[status(thm)],[])).
% 49.06/32.12 tff(13976,plain,
% 49.06/32.12 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB89, bitIndex0) | (~v122(constB89)))),
% 49.06/32.12 inference(quant_inst,[status(thm)],[])).
% 49.06/32.12 tff(13977,plain,
% 49.06/32.12 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB89, bitIndex0) | (~v122(constB89))),
% 49.06/32.12 inference(modus_ponens,[status(thm)],[13976, 13975])).
% 49.06/32.12 tff(13978,plain,
% 49.06/32.12 (~v122(constB89)),
% 49.06/32.12 inference(unit_resolution,[status(thm)],[13977, 2921, 13441])).
% 49.06/32.12 tff(13979,plain,
% 49.06/32.12 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB89, bitIndex0) | (~v120(constB89)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB89, bitIndex0) | (~v120(constB89)))),
% 49.06/32.12 inference(rewrite,[status(thm)],[])).
% 49.06/32.12 tff(13980,plain,
% 49.06/32.12 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB89, bitIndex0) | (~v120(constB89)))),
% 49.06/32.12 inference(quant_inst,[status(thm)],[])).
% 49.06/32.12 tff(13981,plain,
% 49.06/32.12 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB89, bitIndex0) | (~v120(constB89))),
% 49.06/32.12 inference(modus_ponens,[status(thm)],[13980, 13979])).
% 49.06/32.12 tff(13982,plain,
% 49.06/32.12 (~v120(constB89)),
% 49.06/32.12 inference(unit_resolution,[status(thm)],[13981, 2943, 13441])).
% 49.06/32.12 tff(13983,plain,
% 49.06/32.12 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB89) | v123(constB89) | v122(constB89) | v121(constB89) | v120(constB89) | v119(constB89) | (~v130(constB89, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB89) | v123(constB89) | v122(constB89) | v121(constB89) | v120(constB89) | v119(constB89) | (~v130(constB89, bitIndex1)))),
% 49.06/32.12 inference(rewrite,[status(thm)],[])).
% 49.06/32.12 tff(13984,plain,
% 49.06/32.12 ((v120(constB89) | v119(constB89) | v121(constB89) | v122(constB89) | v123(constB89) | v124(constB89) | (~v130(constB89, bitIndex1))) <=> (v124(constB89) | v123(constB89) | v122(constB89) | v121(constB89) | v120(constB89) | v119(constB89) | (~v130(constB89, bitIndex1)))),
% 49.06/32.12 inference(rewrite,[status(thm)],[])).
% 49.06/32.12 tff(13985,plain,
% 49.06/32.12 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB89) | v119(constB89) | v121(constB89) | v122(constB89) | v123(constB89) | v124(constB89) | (~v130(constB89, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB89) | v123(constB89) | v122(constB89) | v121(constB89) | v120(constB89) | v119(constB89) | (~v130(constB89, bitIndex1))))),
% 49.06/32.12 inference(monotonicity,[status(thm)],[13984])).
% 49.06/32.12 tff(13986,plain,
% 49.06/32.12 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB89) | v119(constB89) | v121(constB89) | v122(constB89) | v123(constB89) | v124(constB89) | (~v130(constB89, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB89) | v123(constB89) | v122(constB89) | v121(constB89) | v120(constB89) | v119(constB89) | (~v130(constB89, bitIndex1)))),
% 49.06/32.12 inference(transitivity,[status(thm)],[13985, 13983])).
% 49.06/32.12 tff(13987,plain,
% 49.06/32.12 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB89) | v119(constB89) | v121(constB89) | v122(constB89) | v123(constB89) | v124(constB89) | (~v130(constB89, bitIndex1)))),
% 49.06/32.12 inference(quant_inst,[status(thm)],[])).
% 49.06/32.12 tff(13988,plain,
% 49.06/32.12 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB89) | v123(constB89) | v122(constB89) | v121(constB89) | v120(constB89) | v119(constB89) | (~v130(constB89, bitIndex1))),
% 49.06/32.12 inference(modus_ponens,[status(thm)],[13987, 13986])).
% 49.06/32.12 tff(13989,plain,
% 49.06/32.12 (v122(constB89) | v121(constB89) | v120(constB89) | v119(constB89) | (~v130(constB89, bitIndex1))),
% 49.06/32.12 inference(unit_resolution,[status(thm)],[13988, 1143, 13867, 13876])).
% 49.06/32.12 tff(13990,plain,
% 49.06/32.12 (v121(constB89) | v119(constB89) | (~v130(constB89, bitIndex1))),
% 49.06/32.12 inference(unit_resolution,[status(thm)],[13989, 13982, 13978])).
% 49.06/32.12 tff(13991,plain,
% 49.06/32.12 ($false),
% 49.06/32.12 inference(unit_resolution,[status(thm)],[13990, 13974, 13918, 13914])).
% 49.06/32.12 tff(13992,plain,(v90(constB90, bitIndex2) | v122(constB91)), inference(lemma,lemma(discharge,[]))).
% 49.06/32.12 tff(13993,plain,
% 49.06/32.12 (v122(constB91)),
% 49.06/32.12 inference(unit_resolution,[status(thm)],[13992, 13770])).
% 49.06/32.12 tff(13994,plain,
% 49.06/32.12 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB91) | (~v122(constB91)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB91) | (~v122(constB91)))),
% 49.06/32.12 inference(rewrite,[status(thm)],[])).
% 49.06/32.12 tff(13995,plain,
% 49.06/32.12 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB91) | (~v122(constB91)))),
% 49.06/32.12 inference(quant_inst,[status(thm)],[])).
% 49.06/32.12 tff(13996,plain,
% 49.06/32.12 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB91) | (~v122(constB91))),
% 49.06/32.12 inference(modus_ponens,[status(thm)],[13995, 13994])).
% 49.06/32.12 tff(13997,plain,
% 49.06/32.12 (v116(constB91)),
% 49.06/32.12 inference(unit_resolution,[status(thm)],[13996, 1800, 13993])).
% 49.06/32.12 tff(13998,plain,
% 49.06/32.12 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB91) | (~v116(constB91)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB91) | (~v116(constB91)))),
% 49.06/32.12 inference(rewrite,[status(thm)],[])).
% 49.06/32.12 tff(13999,plain,
% 49.06/32.12 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB91) | (~v116(constB91)))),
% 49.06/32.12 inference(quant_inst,[status(thm)],[])).
% 49.06/32.12 tff(14000,plain,
% 49.06/32.12 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB91) | (~v116(constB91))),
% 49.06/32.12 inference(modus_ponens,[status(thm)],[13999, 13998])).
% 49.06/32.12 tff(14001,plain,
% 49.06/32.12 (v115(constB91)),
% 49.06/32.12 inference(unit_resolution,[status(thm)],[14000, 188, 13997])).
% 49.06/32.12 tff(14002,plain,
% 49.06/32.12 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB91) | (~v115(constB91)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB91) | (~v115(constB91)))),
% 49.06/32.12 inference(rewrite,[status(thm)],[])).
% 49.06/32.12 tff(14003,plain,
% 49.06/32.12 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB91) | (~v115(constB91)))),
% 49.06/32.12 inference(quant_inst,[status(thm)],[])).
% 49.06/32.12 tff(14004,plain,
% 49.06/32.12 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB91) | (~v115(constB91))),
% 49.06/32.12 inference(modus_ponens,[status(thm)],[14003, 14002])).
% 49.06/32.12 tff(14005,plain,
% 49.06/32.12 (v114(constB91)),
% 49.06/32.12 inference(unit_resolution,[status(thm)],[14004, 199, 14001])).
% 49.06/32.12 tff(14006,plain,
% 49.06/32.12 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB91) | (~v114(constB91)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB91) | (~v114(constB91)))),
% 49.06/32.12 inference(rewrite,[status(thm)],[])).
% 49.06/32.12 tff(14007,plain,
% 49.06/32.12 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB91) | (~v114(constB91)))),
% 49.06/32.12 inference(quant_inst,[status(thm)],[])).
% 49.06/32.12 tff(14008,plain,
% 49.06/32.12 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB91) | (~v114(constB91))),
% 49.06/32.12 inference(modus_ponens,[status(thm)],[14007, 14006])).
% 49.06/32.12 tff(14009,plain,
% 49.06/32.12 (v113(constB91)),
% 49.06/32.12 inference(unit_resolution,[status(thm)],[14008, 210, 14005])).
% 49.06/32.12 tff(14010,assumption,(v26(constB91)), introduced(assumption)).
% 49.06/32.12 tff(14011,plain,
% 49.06/32.12 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB91))),
% 49.06/32.12 inference(quant_inst,[status(thm)],[])).
% 49.06/32.12 tff(14012,plain,
% 49.06/32.12 ($false),
% 49.06/32.12 inference(unit_resolution,[status(thm)],[14011, 16, 14010])).
% 49.06/32.12 tff(14013,plain,(~v26(constB91)), inference(lemma,lemma(discharge,[]))).
% 49.06/32.12 tff(14014,plain,
% 49.06/32.12 (((~![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))),
% 49.06/32.12 inference(rewrite,[status(thm)],[])).
% 49.06/32.12 tff(14015,plain,
% 49.06/32.12 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB91) | (~v113(constB91)) | v112(constB91))),
% 49.06/32.12 inference(quant_inst,[status(thm)],[])).
% 49.06/32.12 tff(14016,plain,
% 49.06/32.12 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB91) | (~v113(constB91)) | v112(constB91)),
% 49.06/32.12 inference(modus_ponens,[status(thm)],[14015, 14014])).
% 49.06/32.12 tff(14017,plain,
% 49.06/32.12 ((~v113(constB91)) | v112(constB91)),
% 49.06/32.12 inference(unit_resolution,[status(thm)],[14016, 224, 14013])).
% 49.06/32.12 tff(14018,plain,
% 49.06/32.12 (v112(constB91)),
% 49.06/32.12 inference(unit_resolution,[status(thm)],[14017, 14009])).
% 49.06/32.12 tff(14019,plain,
% 49.06/32.12 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB91) | (~v112(constB91)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB91) | (~v112(constB91)))),
% 49.06/32.12 inference(rewrite,[status(thm)],[])).
% 49.06/32.12 tff(14020,plain,
% 49.06/32.12 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB91) | (~v112(constB91)))),
% 49.06/32.12 inference(quant_inst,[status(thm)],[])).
% 49.06/32.12 tff(14021,plain,
% 49.06/32.12 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB91) | (~v112(constB91))),
% 49.06/32.12 inference(modus_ponens,[status(thm)],[14020, 14019])).
% 49.06/32.12 tff(14022,plain,
% 49.06/32.12 (v108(constB91)),
% 49.06/32.12 inference(unit_resolution,[status(thm)],[14021, 236, 14018])).
% 49.06/32.12 tff(14023,plain,
% 49.06/32.12 (nextState(constB91, constB92) <=> nextState(constB91, constB92)),
% 49.06/32.12 inference(rewrite,[status(thm)],[])).
% 49.06/32.12 tff(14024,axiom,(nextState(constB91, constB92)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_91_1')).
% 49.06/32.12 tff(14025,plain,
% 49.06/32.12 (nextState(constB91, constB92)),
% 49.06/32.12 inference(modus_ponens,[status(thm)],[14024, 14023])).
% 49.06/32.12 tff(14026,plain,
% 49.06/32.12 (((~![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)))),
% 49.06/32.12 inference(rewrite,[status(thm)],[])).
% 49.06/32.12 tff(14027,plain,
% 49.06/32.12 (((~nextState(constB91, constB92)) | (~v108(constB91)) | v110(constB92)) <=> ((~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91)))),
% 49.06/32.12 inference(rewrite,[status(thm)],[])).
% 49.06/32.12 tff(14028,plain,
% 49.06/32.12 (((~![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))))),
% 49.06/32.12 inference(monotonicity,[status(thm)],[14027])).
% 49.06/32.12 tff(14029,plain,
% 49.06/32.12 (((~![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)))),
% 49.06/32.12 inference(transitivity,[status(thm)],[14028, 14026])).
% 49.06/32.12 tff(14030,plain,
% 49.06/32.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB91, constB92)) | (~v108(constB91)) | v110(constB92))),
% 49.06/32.12 inference(quant_inst,[status(thm)],[])).
% 49.06/32.12 tff(14031,plain,
% 49.06/32.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91))),
% 49.06/32.12 inference(modus_ponens,[status(thm)],[14030, 14029])).
% 49.06/32.12 tff(14032,plain,
% 49.06/32.12 (v110(constB92) | (~v108(constB91))),
% 49.06/32.12 inference(unit_resolution,[status(thm)],[14031, 253, 14025])).
% 49.06/32.12 tff(14033,plain,
% 49.06/32.12 (v110(constB92)),
% 49.06/32.12 inference(unit_resolution,[status(thm)],[14032, 14022])).
% 49.06/32.12 tff(14034,plain,
% 49.06/32.12 (((~![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)))),
% 49.06/32.12 inference(rewrite,[status(thm)],[])).
% 49.06/32.12 tff(14035,plain,
% 49.06/32.12 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB91) | (~nextState(constB91, constB92)) | (~v104(constB92)))),
% 49.06/32.12 inference(quant_inst,[status(thm)],[])).
% 49.06/32.12 tff(14036,plain,
% 49.06/32.12 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB91) | (~nextState(constB91, constB92)) | (~v104(constB92))),
% 49.06/32.12 inference(modus_ponens,[status(thm)],[14035, 14034])).
% 49.06/32.12 tff(14037,plain,
% 49.06/32.12 (~v104(constB92)),
% 49.06/32.12 inference(unit_resolution,[status(thm)],[14036, 271, 14025, 13921])).
% 49.06/32.12 tff(14038,plain,
% 49.06/32.12 (((~![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))),
% 49.06/32.12 inference(rewrite,[status(thm)],[])).
% 49.06/32.12 tff(14039,plain,
% 49.06/32.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB91, constB92)) | v102(constB92) | v104(constB92))),
% 49.06/32.12 inference(quant_inst,[status(thm)],[])).
% 49.06/32.12 tff(14040,plain,
% 49.06/32.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB91, constB92)) | v102(constB92) | v104(constB92)),
% 49.06/32.12 inference(modus_ponens,[status(thm)],[14039, 14038])).
% 49.06/32.12 tff(14041,plain,
% 49.06/32.12 (v102(constB92) | v104(constB92)),
% 49.06/32.12 inference(unit_resolution,[status(thm)],[14040, 285, 14025])).
% 49.06/32.12 tff(14042,plain,
% 49.06/32.12 (v102(constB92)),
% 49.06/32.12 inference(unit_resolution,[status(thm)],[14041, 14037])).
% 49.06/32.12 tff(14043,plain,
% 49.06/32.12 (v1(constB92) <=> v1(constB92)),
% 49.06/32.12 inference(rewrite,[status(thm)],[])).
% 49.06/32.12 tff(14044,axiom,(v1(constB92)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_92_1')).
% 49.06/32.12 tff(14045,plain,
% 49.06/32.12 (v1(constB92)),
% 49.06/32.12 inference(modus_ponens,[status(thm)],[14044, 14043])).
% 49.06/32.12 tff(14046,plain,
% 49.06/32.12 (((~![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)))),
% 49.06/32.12 inference(rewrite,[status(thm)],[])).
% 49.06/32.12 tff(14047,plain,
% 49.06/32.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB91, constB92)) | v101(constB92) | (~v102(constB92)) | (~v1(constB92)))),
% 49.06/32.12 inference(quant_inst,[status(thm)],[])).
% 49.06/32.12 tff(14048,plain,
% 49.06/32.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB91, constB92)) | v101(constB92) | (~v102(constB92)) | (~v1(constB92))),
% 49.06/32.12 inference(modus_ponens,[status(thm)],[14047, 14046])).
% 49.06/32.12 tff(14049,plain,
% 49.06/32.12 (v101(constB92) | (~v102(constB92))),
% 49.06/32.12 inference(unit_resolution,[status(thm)],[14048, 303, 14025, 14045])).
% 49.06/32.12 tff(14050,plain,
% 49.06/32.12 (v101(constB92)),
% 49.06/32.12 inference(unit_resolution,[status(thm)],[14049, 14042])).
% 49.06/32.12 tff(14051,plain,
% 49.06/32.12 (((~![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)))),
% 49.06/32.12 inference(rewrite,[status(thm)],[])).
% 49.06/32.12 tff(14052,plain,
% 49.06/32.12 (((~nextState(constB91, constB92)) | (~v101(constB92)) | (~v110(constB92)) | v100(constB92)) <=> ((~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92)))),
% 49.06/32.12 inference(rewrite,[status(thm)],[])).
% 49.06/32.12 tff(14053,plain,
% 49.06/32.12 (((~![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))))),
% 49.06/32.12 inference(monotonicity,[status(thm)],[14052])).
% 49.06/32.12 tff(14054,plain,
% 49.06/32.12 (((~![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)))),
% 49.06/32.12 inference(transitivity,[status(thm)],[14053, 14051])).
% 49.06/32.12 tff(14055,plain,
% 49.06/32.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB91, constB92)) | (~v101(constB92)) | (~v110(constB92)) | v100(constB92))),
% 49.06/32.12 inference(quant_inst,[status(thm)],[])).
% 49.06/32.12 tff(14056,plain,
% 49.06/32.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92))),
% 49.06/32.12 inference(modus_ponens,[status(thm)],[14055, 14054])).
% 49.06/32.12 tff(14057,plain,
% 49.06/32.12 (v100(constB92) | (~v101(constB92)) | (~v110(constB92))),
% 49.06/32.12 inference(unit_resolution,[status(thm)],[14056, 318, 14025])).
% 49.06/32.12 tff(14058,plain,
% 49.06/32.12 (v100(constB92) | (~v110(constB92))),
% 49.06/32.12 inference(unit_resolution,[status(thm)],[14057, 14050])).
% 49.06/32.12 tff(14059,plain,
% 49.06/32.12 (v100(constB92)),
% 49.06/32.12 inference(unit_resolution,[status(thm)],[14058, 14033])).
% 49.06/32.12 tff(14060,plain,
% 49.06/32.12 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB91)) | v130(constB91, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB91)) | v130(constB91, bitIndex2))),
% 49.06/32.12 inference(rewrite,[status(thm)],[])).
% 49.06/32.12 tff(14061,plain,
% 49.06/32.12 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB91)) | v130(constB91, bitIndex2))),
% 49.06/32.12 inference(quant_inst,[status(thm)],[])).
% 49.06/32.12 tff(14062,plain,
% 49.06/32.12 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB91)) | v130(constB91, bitIndex2)),
% 49.06/32.12 inference(modus_ponens,[status(thm)],[14061, 14060])).
% 49.06/32.12 tff(14063,plain,
% 49.06/32.12 (v130(constB91, bitIndex2)),
% 49.06/32.12 inference(unit_resolution,[status(thm)],[14062, 1876, 13993])).
% 49.06/32.12 tff(14064,plain,
% 49.06/32.12 (((~![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))),
% 49.06/32.12 inference(rewrite,[status(thm)],[])).
% 49.06/32.12 tff(14065,plain,
% 49.06/32.12 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB91) | (~v130(constB91, bitIndex2)) | v127(constB91, bitIndex2))),
% 49.06/32.12 inference(quant_inst,[status(thm)],[])).
% 49.06/32.12 tff(14066,plain,
% 49.06/32.12 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB91) | (~v130(constB91, bitIndex2)) | v127(constB91, bitIndex2)),
% 49.06/32.12 inference(modus_ponens,[status(thm)],[14065, 14064])).
% 49.06/32.12 tff(14067,plain,
% 49.06/32.12 ((~v130(constB91, bitIndex2)) | v127(constB91, bitIndex2)),
% 49.06/32.12 inference(unit_resolution,[status(thm)],[14066, 351, 14013])).
% 49.06/32.12 tff(14068,plain,
% 49.06/32.12 (v127(constB91, bitIndex2)),
% 49.06/32.12 inference(unit_resolution,[status(thm)],[14067, 14063])).
% 49.06/32.12 tff(14069,plain,
% 49.06/32.12 (((~![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))),
% 49.06/32.12 inference(rewrite,[status(thm)],[])).
% 49.06/32.12 tff(14070,plain,
% 49.06/32.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB91, constB92)) | (~v127(constB91, bitIndex2)) | v129(constB92, bitIndex2))),
% 49.06/32.12 inference(quant_inst,[status(thm)],[])).
% 49.06/32.12 tff(14071,plain,
% 49.06/32.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB91, constB92)) | (~v127(constB91, bitIndex2)) | v129(constB92, bitIndex2)),
% 49.06/32.12 inference(modus_ponens,[status(thm)],[14070, 14069])).
% 49.06/32.12 tff(14072,plain,
% 49.06/32.12 ((~v127(constB91, bitIndex2)) | v129(constB92, bitIndex2)),
% 49.06/32.12 inference(unit_resolution,[status(thm)],[14071, 366, 14025])).
% 49.06/32.12 tff(14073,plain,
% 49.06/32.12 (v129(constB92, bitIndex2)),
% 49.06/32.12 inference(unit_resolution,[status(thm)],[14072, 14068])).
% 49.06/32.12 tff(14074,plain,
% 49.06/32.12 (((~![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)))),
% 49.06/32.12 inference(rewrite,[status(thm)],[])).
% 49.06/32.12 tff(14075,plain,
% 49.06/32.12 ((v90(constB92, bitIndex2) | (~v100(constB92)) | (~v129(constB92, bitIndex2))) <=> (v90(constB92, bitIndex2) | (~v129(constB92, bitIndex2)) | (~v100(constB92)))),
% 49.06/32.12 inference(rewrite,[status(thm)],[])).
% 49.06/32.12 tff(14076,plain,
% 49.06/32.12 (((~![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))))),
% 49.06/32.12 inference(monotonicity,[status(thm)],[14075])).
% 49.06/32.12 tff(14077,plain,
% 49.06/32.12 (((~![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)))),
% 49.06/32.12 inference(transitivity,[status(thm)],[14076, 14074])).
% 49.06/32.12 tff(14078,plain,
% 49.06/32.12 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB92, bitIndex2) | (~v100(constB92)) | (~v129(constB92, bitIndex2)))),
% 49.06/32.12 inference(quant_inst,[status(thm)],[])).
% 49.06/32.12 tff(14079,plain,
% 49.06/32.12 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB92, bitIndex2) | (~v129(constB92, bitIndex2)) | (~v100(constB92))),
% 49.06/32.12 inference(modus_ponens,[status(thm)],[14078, 14077])).
% 49.06/32.12 tff(14080,plain,
% 49.06/32.12 (v90(constB92, bitIndex2) | (~v100(constB92))),
% 49.06/32.12 inference(unit_resolution,[status(thm)],[14079, 381, 14073])).
% 49.06/32.12 tff(14081,plain,
% 49.06/32.12 (v90(constB92, bitIndex2)),
% 49.06/32.12 inference(unit_resolution,[status(thm)],[14080, 14059])).
% 49.06/32.12 tff(14082,plain,
% 49.06/32.12 ((~v1(constB93)) <=> (~v1(constB93))),
% 49.06/32.12 inference(rewrite,[status(thm)],[])).
% 49.06/32.12 tff(14083,axiom,(~v1(constB93)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_93_1_1')).
% 49.06/32.12 tff(14084,plain,
% 49.06/32.12 (~v1(constB93)),
% 49.06/32.12 inference(modus_ponens,[status(thm)],[14083, 14082])).
% 49.06/32.12 tff(14085,plain,
% 49.06/32.12 (nextState(constB92, constB93) <=> nextState(constB92, constB93)),
% 49.06/32.12 inference(rewrite,[status(thm)],[])).
% 49.06/32.12 tff(14086,axiom,(nextState(constB92, constB93)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_92_1')).
% 49.06/32.12 tff(14087,plain,
% 49.06/32.12 (nextState(constB92, constB93)),
% 49.06/32.12 inference(modus_ponens,[status(thm)],[14086, 14085])).
% 49.06/32.12 tff(14088,plain,
% 49.06/32.12 (((~![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)))),
% 49.06/32.12 inference(rewrite,[status(thm)],[])).
% 49.06/32.12 tff(14089,plain,
% 49.06/32.12 (((~nextState(constB92, constB93)) | (~v101(constB93)) | v1(constB93)) <=> (v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93)))),
% 49.06/32.12 inference(rewrite,[status(thm)],[])).
% 49.06/32.12 tff(14090,plain,
% 49.06/32.12 (((~![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))))),
% 49.06/32.12 inference(monotonicity,[status(thm)],[14089])).
% 49.06/32.12 tff(14091,plain,
% 49.06/32.12 (((~![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)))),
% 49.06/32.12 inference(transitivity,[status(thm)],[14090, 14088])).
% 49.06/32.12 tff(14092,plain,
% 49.06/32.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB92, constB93)) | (~v101(constB93)) | v1(constB93))),
% 49.06/32.12 inference(quant_inst,[status(thm)],[])).
% 49.06/32.12 tff(14093,plain,
% 49.06/32.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93))),
% 49.06/32.12 inference(modus_ponens,[status(thm)],[14092, 14091])).
% 49.06/32.12 tff(14094,plain,
% 49.06/32.12 (~v101(constB93)),
% 49.06/32.12 inference(unit_resolution,[status(thm)],[14093, 49, 14087, 14084])).
% 49.06/32.12 tff(14095,plain,
% 49.06/32.12 (((~![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)))),
% 49.06/32.12 inference(rewrite,[status(thm)],[])).
% 49.06/32.12 tff(14096,plain,
% 49.06/32.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB92, constB93)) | v101(constB93) | (~v100(constB93)))),
% 49.06/32.12 inference(quant_inst,[status(thm)],[])).
% 49.06/32.12 tff(14097,plain,
% 49.06/32.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB92, constB93)) | v101(constB93) | (~v100(constB93))),
% 49.06/32.12 inference(modus_ponens,[status(thm)],[14096, 14095])).
% 49.06/32.12 tff(14098,plain,
% 49.06/32.12 (v101(constB93) | (~v100(constB93))),
% 49.06/32.12 inference(unit_resolution,[status(thm)],[14097, 66, 14087])).
% 49.06/32.12 tff(14099,plain,
% 49.06/32.12 (~v100(constB93)),
% 49.06/32.12 inference(unit_resolution,[status(thm)],[14098, 14094])).
% 49.06/32.12 tff(14100,plain,
% 49.06/32.12 (((~![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))),
% 49.06/32.12 inference(rewrite,[status(thm)],[])).
% 49.06/32.12 tff(14101,plain,
% 49.06/32.12 (((~nextState(constB92, constB93)) | (~v90(constB92, bitIndex2)) | v100(constB93) | v90(constB93, bitIndex2)) <=> ((~v90(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, bitIndex2))),
% 49.06/32.12 inference(rewrite,[status(thm)],[])).
% 49.06/32.12 tff(14102,plain,
% 49.06/32.12 (((~![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)))),
% 49.06/32.12 inference(monotonicity,[status(thm)],[14101])).
% 49.06/32.12 tff(14103,plain,
% 49.06/32.12 (((~![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))),
% 49.06/32.12 inference(transitivity,[status(thm)],[14102, 14100])).
% 49.06/32.12 tff(14104,plain,
% 49.06/32.12 ((~![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))),
% 49.06/32.12 inference(quant_inst,[status(thm)],[])).
% 49.06/32.12 tff(14105,plain,
% 49.06/32.12 ((~![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)),
% 49.06/32.12 inference(modus_ponens,[status(thm)],[14104, 14103])).
% 49.06/32.12 tff(14106,plain,
% 49.06/32.12 ((~v90(constB92, bitIndex2)) | v100(constB93) | v90(constB93, bitIndex2)),
% 49.06/32.13 inference(unit_resolution,[status(thm)],[14105, 417, 14087])).
% 49.06/32.13 tff(14107,plain,
% 49.06/32.13 ((~v90(constB92, bitIndex2)) | v90(constB93, bitIndex2)),
% 49.06/32.13 inference(unit_resolution,[status(thm)],[14106, 14099])).
% 49.06/32.13 tff(14108,plain,
% 49.06/32.13 (v90(constB93, bitIndex2)),
% 49.06/32.13 inference(unit_resolution,[status(thm)],[14107, 14081])).
% 49.06/32.13 tff(14109,plain,
% 49.06/32.13 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB91)) | (~v130(constB91, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB91)) | (~v130(constB91, bitIndex1)))),
% 49.06/32.13 inference(rewrite,[status(thm)],[])).
% 49.06/32.13 tff(14110,plain,
% 49.06/32.13 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB91)) | (~v130(constB91, bitIndex1)))),
% 49.06/32.13 inference(quant_inst,[status(thm)],[])).
% 49.06/32.13 tff(14111,plain,
% 49.06/32.13 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB91)) | (~v130(constB91, bitIndex1))),
% 49.06/32.13 inference(modus_ponens,[status(thm)],[14110, 14109])).
% 49.06/32.13 tff(14112,plain,
% 49.06/32.13 (~v130(constB91, bitIndex1)),
% 49.06/32.13 inference(unit_resolution,[status(thm)],[14111, 1935, 13993])).
% 49.06/32.13 tff(14113,plain,
% 49.06/32.13 (((~![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))),
% 49.06/32.13 inference(rewrite,[status(thm)],[])).
% 49.06/32.13 tff(14114,plain,
% 49.06/32.13 ((v26(constB91) | v130(constB91, bitIndex1) | (~v127(constB91, bitIndex1))) <=> ((~v127(constB91, bitIndex1)) | v26(constB91) | v130(constB91, bitIndex1))),
% 49.06/32.13 inference(rewrite,[status(thm)],[])).
% 49.06/32.13 tff(14115,plain,
% 49.06/32.13 (((~![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)))),
% 49.06/32.13 inference(monotonicity,[status(thm)],[14114])).
% 49.06/32.13 tff(14116,plain,
% 49.06/32.13 (((~![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))),
% 49.06/32.13 inference(transitivity,[status(thm)],[14115, 14113])).
% 49.06/32.13 tff(14117,plain,
% 49.06/32.13 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB91) | v130(constB91, bitIndex1) | (~v127(constB91, bitIndex1)))),
% 49.06/32.13 inference(quant_inst,[status(thm)],[])).
% 49.06/32.13 tff(14118,plain,
% 49.06/32.13 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB91, bitIndex1)) | v26(constB91) | v130(constB91, bitIndex1)),
% 49.06/32.13 inference(modus_ponens,[status(thm)],[14117, 14116])).
% 49.06/32.13 tff(14119,plain,
% 49.06/32.13 ((~v127(constB91, bitIndex1)) | v130(constB91, bitIndex1)),
% 49.06/32.13 inference(unit_resolution,[status(thm)],[14118, 450, 14013])).
% 49.06/32.13 tff(14120,plain,
% 49.06/32.13 (~v127(constB91, bitIndex1)),
% 49.06/32.13 inference(unit_resolution,[status(thm)],[14119, 14112])).
% 49.06/32.13 tff(14121,plain,
% 49.06/32.13 (((~![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)))),
% 49.06/32.13 inference(rewrite,[status(thm)],[])).
% 49.06/32.13 tff(14122,plain,
% 49.06/32.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB91, constB92)) | v127(constB91, bitIndex1) | (~v129(constB92, bitIndex1)))),
% 49.06/32.13 inference(quant_inst,[status(thm)],[])).
% 49.06/32.13 tff(14123,plain,
% 49.06/32.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB91, constB92)) | v127(constB91, bitIndex1) | (~v129(constB92, bitIndex1))),
% 49.06/32.13 inference(modus_ponens,[status(thm)],[14122, 14121])).
% 49.06/32.13 tff(14124,plain,
% 49.06/32.13 (v127(constB91, bitIndex1) | (~v129(constB92, bitIndex1))),
% 49.06/32.13 inference(unit_resolution,[status(thm)],[14123, 468, 14025])).
% 49.06/32.13 tff(14125,plain,
% 49.06/32.13 (~v129(constB92, bitIndex1)),
% 49.06/32.13 inference(unit_resolution,[status(thm)],[14124, 14120])).
% 49.06/32.13 tff(14126,plain,
% 49.06/32.13 (((~![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)))),
% 49.06/32.13 inference(rewrite,[status(thm)],[])).
% 49.06/32.13 tff(14127,plain,
% 49.06/32.13 (((~v90(constB92, bitIndex1)) | (~v100(constB92)) | v129(constB92, bitIndex1)) <=> ((~v90(constB92, bitIndex1)) | v129(constB92, bitIndex1) | (~v100(constB92)))),
% 49.06/32.13 inference(rewrite,[status(thm)],[])).
% 49.06/32.13 tff(14128,plain,
% 49.06/32.13 (((~![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))))),
% 49.06/32.13 inference(monotonicity,[status(thm)],[14127])).
% 49.06/32.13 tff(14129,plain,
% 49.06/32.13 (((~![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)))),
% 49.06/32.13 inference(transitivity,[status(thm)],[14128, 14126])).
% 49.06/32.13 tff(14130,plain,
% 49.06/32.13 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB92, bitIndex1)) | (~v100(constB92)) | v129(constB92, bitIndex1))),
% 49.06/32.13 inference(quant_inst,[status(thm)],[])).
% 49.06/32.13 tff(14131,plain,
% 49.06/32.13 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB92, bitIndex1)) | v129(constB92, bitIndex1) | (~v100(constB92))),
% 49.06/32.13 inference(modus_ponens,[status(thm)],[14130, 14129])).
% 49.06/32.13 tff(14132,plain,
% 49.06/32.13 ((~v90(constB92, bitIndex1)) | (~v100(constB92))),
% 49.06/32.13 inference(unit_resolution,[status(thm)],[14131, 483, 14125])).
% 49.06/32.13 tff(14133,plain,
% 49.06/32.13 (~v90(constB92, bitIndex1)),
% 49.06/32.13 inference(unit_resolution,[status(thm)],[14132, 14059])).
% 49.06/32.13 tff(14134,plain,
% 49.06/32.13 (((~![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)))),
% 49.06/32.13 inference(rewrite,[status(thm)],[])).
% 49.06/32.13 tff(14135,plain,
% 49.06/32.13 (((~nextState(constB92, constB93)) | v90(constB92, bitIndex1) | v100(constB93) | (~v90(constB93, bitIndex1))) <=> (v90(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex1)))),
% 49.06/32.13 inference(rewrite,[status(thm)],[])).
% 49.06/32.13 tff(14136,plain,
% 49.06/32.13 (((~![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))))),
% 49.06/32.13 inference(monotonicity,[status(thm)],[14135])).
% 49.06/32.13 tff(14137,plain,
% 49.06/32.13 (((~![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)))),
% 49.06/32.13 inference(transitivity,[status(thm)],[14136, 14134])).
% 49.06/32.13 tff(14138,plain,
% 49.06/32.13 ((~![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)))),
% 49.06/32.13 inference(quant_inst,[status(thm)],[])).
% 49.06/32.13 tff(14139,plain,
% 49.06/32.13 ((~![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))),
% 49.06/32.13 inference(modus_ponens,[status(thm)],[14138, 14137])).
% 49.06/32.13 tff(14140,plain,
% 49.06/32.13 (v90(constB92, bitIndex1) | v100(constB93) | (~v90(constB93, bitIndex1))),
% 49.06/32.13 inference(unit_resolution,[status(thm)],[14139, 102, 14087])).
% 49.06/32.13 tff(14141,plain,
% 49.06/32.13 (v90(constB92, bitIndex1) | (~v90(constB93, bitIndex1))),
% 49.06/32.13 inference(unit_resolution,[status(thm)],[14140, 14099])).
% 49.06/32.13 tff(14142,plain,
% 49.06/32.13 (~v90(constB93, bitIndex1)),
% 49.06/32.13 inference(unit_resolution,[status(thm)],[14141, 14133])).
% 49.06/32.13 tff(14143,plain,
% 49.06/32.13 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB91)) | (~v130(constB91, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB91)) | (~v130(constB91, bitIndex0)))),
% 49.06/32.13 inference(rewrite,[status(thm)],[])).
% 49.06/32.13 tff(14144,plain,
% 49.06/32.13 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB91)) | (~v130(constB91, bitIndex0)))),
% 49.06/32.13 inference(quant_inst,[status(thm)],[])).
% 49.06/32.13 tff(14145,plain,
% 49.06/32.13 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB91)) | (~v130(constB91, bitIndex0))),
% 49.06/32.13 inference(modus_ponens,[status(thm)],[14144, 14143])).
% 49.06/32.13 tff(14146,plain,
% 49.06/32.13 (~v130(constB91, bitIndex0)),
% 49.06/32.13 inference(unit_resolution,[status(thm)],[14145, 1997, 13993])).
% 49.06/32.13 tff(14147,plain,
% 49.06/32.13 (((~![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))),
% 49.06/32.13 inference(rewrite,[status(thm)],[])).
% 49.06/32.13 tff(14148,plain,
% 49.06/32.13 ((v26(constB91) | v130(constB91, bitIndex0) | (~v127(constB91, bitIndex0))) <=> ((~v127(constB91, bitIndex0)) | v26(constB91) | v130(constB91, bitIndex0))),
% 49.06/32.13 inference(rewrite,[status(thm)],[])).
% 49.06/32.13 tff(14149,plain,
% 49.06/32.13 (((~![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)))),
% 49.06/32.13 inference(monotonicity,[status(thm)],[14148])).
% 49.06/32.13 tff(14150,plain,
% 49.06/32.13 (((~![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))),
% 49.06/32.13 inference(transitivity,[status(thm)],[14149, 14147])).
% 49.06/32.13 tff(14151,plain,
% 49.06/32.13 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB91) | v130(constB91, bitIndex0) | (~v127(constB91, bitIndex0)))),
% 49.06/32.13 inference(quant_inst,[status(thm)],[])).
% 49.06/32.13 tff(14152,plain,
% 49.06/32.13 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB91, bitIndex0)) | v26(constB91) | v130(constB91, bitIndex0)),
% 49.06/32.13 inference(modus_ponens,[status(thm)],[14151, 14150])).
% 49.06/32.13 tff(14153,plain,
% 49.06/32.13 ((~v127(constB91, bitIndex0)) | v130(constB91, bitIndex0)),
% 49.06/32.13 inference(unit_resolution,[status(thm)],[14152, 524, 14013])).
% 49.06/32.13 tff(14154,plain,
% 49.06/32.13 (~v127(constB91, bitIndex0)),
% 49.06/32.13 inference(unit_resolution,[status(thm)],[14153, 14146])).
% 49.06/32.13 tff(14155,plain,
% 49.06/32.13 (((~![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)))),
% 49.06/32.13 inference(rewrite,[status(thm)],[])).
% 49.06/32.13 tff(14156,plain,
% 49.06/32.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB91, constB92)) | v127(constB91, bitIndex0) | (~v129(constB92, bitIndex0)))),
% 49.06/32.13 inference(quant_inst,[status(thm)],[])).
% 49.06/32.13 tff(14157,plain,
% 49.06/32.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB91, constB92)) | v127(constB91, bitIndex0) | (~v129(constB92, bitIndex0))),
% 49.06/32.13 inference(modus_ponens,[status(thm)],[14156, 14155])).
% 49.06/32.13 tff(14158,plain,
% 49.06/32.13 (v127(constB91, bitIndex0) | (~v129(constB92, bitIndex0))),
% 49.06/32.13 inference(unit_resolution,[status(thm)],[14157, 542, 14025])).
% 49.06/32.13 tff(14159,plain,
% 49.06/32.13 (~v129(constB92, bitIndex0)),
% 49.06/32.13 inference(unit_resolution,[status(thm)],[14158, 14154])).
% 49.06/32.13 tff(14160,plain,
% 49.06/32.13 (((~![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)))),
% 49.06/32.13 inference(rewrite,[status(thm)],[])).
% 49.06/32.13 tff(14161,plain,
% 49.06/32.13 (((~v90(constB92, bitIndex0)) | (~v100(constB92)) | v129(constB92, bitIndex0)) <=> ((~v90(constB92, bitIndex0)) | v129(constB92, bitIndex0) | (~v100(constB92)))),
% 49.06/32.13 inference(rewrite,[status(thm)],[])).
% 49.06/32.13 tff(14162,plain,
% 49.06/32.13 (((~![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))))),
% 49.06/32.13 inference(monotonicity,[status(thm)],[14161])).
% 49.06/32.13 tff(14163,plain,
% 49.06/32.13 (((~![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)))),
% 49.06/32.13 inference(transitivity,[status(thm)],[14162, 14160])).
% 49.06/32.13 tff(14164,plain,
% 49.06/32.13 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB92, bitIndex0)) | (~v100(constB92)) | v129(constB92, bitIndex0))),
% 49.06/32.13 inference(quant_inst,[status(thm)],[])).
% 49.06/32.13 tff(14165,plain,
% 49.06/32.13 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB92, bitIndex0)) | v129(constB92, bitIndex0) | (~v100(constB92))),
% 49.06/32.13 inference(modus_ponens,[status(thm)],[14164, 14163])).
% 49.06/32.13 tff(14166,plain,
% 49.06/32.13 ((~v90(constB92, bitIndex0)) | (~v100(constB92))),
% 49.06/32.13 inference(unit_resolution,[status(thm)],[14165, 557, 14159])).
% 49.06/32.13 tff(14167,plain,
% 49.06/32.13 (~v90(constB92, bitIndex0)),
% 49.06/32.13 inference(unit_resolution,[status(thm)],[14166, 14059])).
% 49.06/32.13 tff(14168,plain,
% 49.06/32.13 (((~![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)))),
% 49.06/32.13 inference(rewrite,[status(thm)],[])).
% 49.06/32.13 tff(14169,plain,
% 49.06/32.13 (((~nextState(constB92, constB93)) | v90(constB92, bitIndex0) | v100(constB93) | (~v90(constB93, bitIndex0))) <=> (v90(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, bitIndex0)))),
% 49.06/32.13 inference(rewrite,[status(thm)],[])).
% 49.06/32.13 tff(14170,plain,
% 49.06/32.13 (((~![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))))),
% 49.06/32.13 inference(monotonicity,[status(thm)],[14169])).
% 49.06/32.13 tff(14171,plain,
% 49.06/32.13 (((~![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)))),
% 49.06/32.13 inference(transitivity,[status(thm)],[14170, 14168])).
% 49.06/32.13 tff(14172,plain,
% 49.06/32.13 ((~![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)))),
% 49.06/32.13 inference(quant_inst,[status(thm)],[])).
% 49.06/32.13 tff(14173,plain,
% 49.06/32.13 ((~![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))),
% 49.06/32.13 inference(modus_ponens,[status(thm)],[14172, 14171])).
% 49.06/32.13 tff(14174,plain,
% 49.06/32.13 (v90(constB92, bitIndex0) | v100(constB93) | (~v90(constB93, bitIndex0))),
% 49.06/32.13 inference(unit_resolution,[status(thm)],[14173, 123, 14087])).
% 49.06/32.13 tff(14175,plain,
% 49.06/32.13 (v90(constB92, bitIndex0) | (~v90(constB93, bitIndex0))),
% 49.06/32.13 inference(unit_resolution,[status(thm)],[14174, 14099])).
% 49.06/32.13 tff(14176,plain,
% 49.06/32.13 (~v90(constB93, bitIndex0)),
% 49.06/32.13 inference(unit_resolution,[status(thm)],[14175, 14167])).
% 49.06/32.13 tff(14177,plain,
% 49.06/32.13 (((~![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))),
% 49.06/32.13 inference(rewrite,[status(thm)],[])).
% 49.06/32.13 tff(14178,plain,
% 49.06/32.13 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2)) | v123(constB93))),
% 49.06/32.13 inference(quant_inst,[status(thm)],[])).
% 49.06/32.13 tff(14179,plain,
% 49.06/32.13 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB93, bitIndex0) | v90(constB93, bitIndex1) | (~v90(constB93, bitIndex2)) | v123(constB93)),
% 49.06/32.13 inference(modus_ponens,[status(thm)],[14178, 14177])).
% 49.06/32.13 tff(14180,plain,
% 49.06/32.13 (v123(constB93)),
% 49.06/32.13 inference(unit_resolution,[status(thm)],[14179, 584, 14176, 14142, 14108])).
% 49.06/32.13 tff(14181,plain,
% 49.06/32.13 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB93) | (~v123(constB93)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB93) | (~v123(constB93)))),
% 49.06/32.13 inference(rewrite,[status(thm)],[])).
% 49.06/32.13 tff(14182,plain,
% 49.06/32.13 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB93) | (~v123(constB93)))),
% 49.06/32.13 inference(quant_inst,[status(thm)],[])).
% 49.06/32.13 tff(14183,plain,
% 49.06/32.13 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB93) | (~v123(constB93))),
% 49.06/32.13 inference(modus_ponens,[status(thm)],[14182, 14181])).
% 49.06/32.13 tff(14184,plain,
% 49.06/32.13 (v115(constB93)),
% 49.06/32.13 inference(unit_resolution,[status(thm)],[14183, 595, 14180])).
% 49.06/32.13 tff(14185,plain,
% 49.06/32.13 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB93) | (~v115(constB93)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB93) | (~v115(constB93)))),
% 49.06/32.13 inference(rewrite,[status(thm)],[])).
% 49.06/32.13 tff(14186,plain,
% 49.06/32.13 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB93) | (~v115(constB93)))),
% 49.06/32.13 inference(quant_inst,[status(thm)],[])).
% 49.06/32.13 tff(14187,plain,
% 49.06/32.13 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB93) | (~v115(constB93))),
% 49.06/32.13 inference(modus_ponens,[status(thm)],[14186, 14185])).
% 49.06/32.13 tff(14188,plain,
% 49.06/32.13 (v114(constB93)),
% 49.06/32.13 inference(unit_resolution,[status(thm)],[14187, 199, 14184])).
% 49.06/32.13 tff(14189,plain,
% 49.06/32.13 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB93) | (~v114(constB93)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB93) | (~v114(constB93)))),
% 49.06/32.13 inference(rewrite,[status(thm)],[])).
% 49.06/32.13 tff(14190,plain,
% 49.06/32.13 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB93) | (~v114(constB93)))),
% 49.06/32.13 inference(quant_inst,[status(thm)],[])).
% 49.06/32.13 tff(14191,plain,
% 49.06/32.13 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB93) | (~v114(constB93))),
% 49.06/32.13 inference(modus_ponens,[status(thm)],[14190, 14189])).
% 49.06/32.13 tff(14192,plain,
% 49.06/32.13 (v113(constB93)),
% 49.06/32.13 inference(unit_resolution,[status(thm)],[14191, 210, 14188])).
% 49.06/32.13 tff(14193,assumption,(v26(constB93)), introduced(assumption)).
% 49.06/32.13 tff(14194,plain,
% 49.06/32.13 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB93))),
% 49.06/32.13 inference(quant_inst,[status(thm)],[])).
% 49.06/32.13 tff(14195,plain,
% 49.06/32.13 ($false),
% 49.06/32.13 inference(unit_resolution,[status(thm)],[14194, 16, 14193])).
% 49.06/32.13 tff(14196,plain,(~v26(constB93)), inference(lemma,lemma(discharge,[]))).
% 49.06/32.13 tff(14197,plain,
% 49.06/32.13 (((~![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)))),
% 49.06/32.13 inference(rewrite,[status(thm)],[])).
% 49.06/32.13 tff(14198,plain,
% 49.06/32.13 ((v26(constB93) | (~v113(constB93)) | v112(constB93)) <=> (v26(constB93) | v112(constB93) | (~v113(constB93)))),
% 49.06/32.13 inference(rewrite,[status(thm)],[])).
% 49.06/32.13 tff(14199,plain,
% 49.06/32.13 (((~![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))))),
% 49.06/32.13 inference(monotonicity,[status(thm)],[14198])).
% 49.06/32.13 tff(14200,plain,
% 49.06/32.13 (((~![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)))),
% 49.06/32.13 inference(transitivity,[status(thm)],[14199, 14197])).
% 49.06/32.13 tff(14201,plain,
% 49.06/32.13 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB93) | (~v113(constB93)) | v112(constB93))),
% 49.06/32.13 inference(quant_inst,[status(thm)],[])).
% 49.06/32.13 tff(14202,plain,
% 49.06/32.13 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB93) | v112(constB93) | (~v113(constB93))),
% 49.06/32.13 inference(modus_ponens,[status(thm)],[14201, 14200])).
% 49.06/32.13 tff(14203,plain,
% 49.06/32.13 (v112(constB93) | (~v113(constB93))),
% 49.06/32.13 inference(unit_resolution,[status(thm)],[14202, 224, 14196])).
% 49.06/32.13 tff(14204,plain,
% 49.06/32.13 (v112(constB93)),
% 49.06/32.13 inference(unit_resolution,[status(thm)],[14203, 14192])).
% 49.06/32.13 tff(14205,plain,
% 49.06/32.13 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB93) | (~v112(constB93)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB93) | (~v112(constB93)))),
% 49.06/32.13 inference(rewrite,[status(thm)],[])).
% 49.06/32.13 tff(14206,plain,
% 49.06/32.13 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB93) | (~v112(constB93)))),
% 49.06/32.13 inference(quant_inst,[status(thm)],[])).
% 49.06/32.13 tff(14207,plain,
% 49.06/32.13 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB93) | (~v112(constB93))),
% 49.06/32.13 inference(modus_ponens,[status(thm)],[14206, 14205])).
% 49.06/32.13 tff(14208,plain,
% 49.06/32.13 (v108(constB93)),
% 49.06/32.13 inference(unit_resolution,[status(thm)],[14207, 236, 14204])).
% 49.06/32.13 tff(14209,plain,
% 49.06/32.13 (nextState(constB93, constB94) <=> nextState(constB93, constB94)),
% 49.06/32.13 inference(rewrite,[status(thm)],[])).
% 49.06/32.13 tff(14210,axiom,(nextState(constB93, constB94)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_93_1')).
% 49.06/32.13 tff(14211,plain,
% 49.06/32.13 (nextState(constB93, constB94)),
% 49.06/32.13 inference(modus_ponens,[status(thm)],[14210, 14209])).
% 49.06/32.13 tff(14212,plain,
% 49.06/32.13 (((~![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)))),
% 49.06/32.13 inference(rewrite,[status(thm)],[])).
% 49.06/32.13 tff(14213,plain,
% 49.06/32.13 (((~nextState(constB93, constB94)) | (~v108(constB93)) | v110(constB94)) <=> ((~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93)))),
% 49.06/32.13 inference(rewrite,[status(thm)],[])).
% 49.06/32.13 tff(14214,plain,
% 49.06/32.13 (((~![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))))),
% 49.06/32.13 inference(monotonicity,[status(thm)],[14213])).
% 49.06/32.13 tff(14215,plain,
% 49.06/32.13 (((~![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)))),
% 49.06/32.13 inference(transitivity,[status(thm)],[14214, 14212])).
% 49.06/32.13 tff(14216,plain,
% 49.06/32.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB93, constB94)) | (~v108(constB93)) | v110(constB94))),
% 49.06/32.13 inference(quant_inst,[status(thm)],[])).
% 49.06/32.13 tff(14217,plain,
% 49.06/32.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93))),
% 49.06/32.13 inference(modus_ponens,[status(thm)],[14216, 14215])).
% 49.06/32.13 tff(14218,plain,
% 49.06/32.13 (v110(constB94) | (~v108(constB93))),
% 49.06/32.13 inference(unit_resolution,[status(thm)],[14217, 253, 14211])).
% 49.06/32.13 tff(14219,plain,
% 49.06/32.13 (v110(constB94)),
% 49.06/32.13 inference(unit_resolution,[status(thm)],[14218, 14208])).
% 49.06/32.13 tff(14220,plain,
% 49.06/32.13 (((~![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)))),
% 49.06/32.13 inference(rewrite,[status(thm)],[])).
% 49.06/32.13 tff(14221,plain,
% 49.06/32.13 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB93) | (~nextState(constB93, constB94)) | (~v104(constB94)))),
% 49.06/32.13 inference(quant_inst,[status(thm)],[])).
% 49.06/32.13 tff(14222,plain,
% 49.06/32.13 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB93) | (~nextState(constB93, constB94)) | (~v104(constB94))),
% 49.06/32.13 inference(modus_ponens,[status(thm)],[14221, 14220])).
% 49.06/32.13 tff(14223,plain,
% 49.06/32.13 (~v104(constB94)),
% 49.06/32.13 inference(unit_resolution,[status(thm)],[14222, 271, 14211, 14084])).
% 49.06/32.13 tff(14224,plain,
% 49.06/32.13 (((~![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))),
% 49.06/32.13 inference(rewrite,[status(thm)],[])).
% 49.06/32.13 tff(14225,plain,
% 49.06/32.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB93, constB94)) | v102(constB94) | v104(constB94))),
% 49.06/32.13 inference(quant_inst,[status(thm)],[])).
% 49.06/32.13 tff(14226,plain,
% 49.06/32.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB93, constB94)) | v102(constB94) | v104(constB94)),
% 49.06/32.13 inference(modus_ponens,[status(thm)],[14225, 14224])).
% 49.06/32.13 tff(14227,plain,
% 49.06/32.13 (v102(constB94) | v104(constB94)),
% 49.06/32.13 inference(unit_resolution,[status(thm)],[14226, 285, 14211])).
% 49.06/32.13 tff(14228,plain,
% 49.06/32.13 (v102(constB94)),
% 49.06/32.13 inference(unit_resolution,[status(thm)],[14227, 14223])).
% 49.06/32.13 tff(14229,plain,
% 49.06/32.13 (v1(constB94) <=> v1(constB94)),
% 49.06/32.13 inference(rewrite,[status(thm)],[])).
% 49.06/32.13 tff(14230,axiom,(v1(constB94)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_94_1')).
% 49.06/32.13 tff(14231,plain,
% 49.06/32.13 (v1(constB94)),
% 49.06/32.13 inference(modus_ponens,[status(thm)],[14230, 14229])).
% 49.06/32.13 tff(14232,plain,
% 49.06/32.13 (((~![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)))),
% 49.06/32.13 inference(rewrite,[status(thm)],[])).
% 49.06/32.13 tff(14233,plain,
% 49.06/32.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB93, constB94)) | v101(constB94) | (~v102(constB94)) | (~v1(constB94)))),
% 49.06/32.13 inference(quant_inst,[status(thm)],[])).
% 49.06/32.13 tff(14234,plain,
% 49.06/32.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB93, constB94)) | v101(constB94) | (~v102(constB94)) | (~v1(constB94))),
% 49.06/32.13 inference(modus_ponens,[status(thm)],[14233, 14232])).
% 49.06/32.13 tff(14235,plain,
% 49.06/32.13 (v101(constB94) | (~v102(constB94))),
% 49.06/32.13 inference(unit_resolution,[status(thm)],[14234, 303, 14211, 14231])).
% 49.06/32.13 tff(14236,plain,
% 49.06/32.13 (v101(constB94)),
% 49.06/32.13 inference(unit_resolution,[status(thm)],[14235, 14228])).
% 49.06/32.13 tff(14237,plain,
% 49.06/32.13 (((~![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)))),
% 49.06/32.14 inference(rewrite,[status(thm)],[])).
% 49.06/32.14 tff(14238,plain,
% 49.06/32.14 (((~nextState(constB93, constB94)) | (~v101(constB94)) | (~v110(constB94)) | v100(constB94)) <=> ((~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94)))),
% 49.06/32.14 inference(rewrite,[status(thm)],[])).
% 49.06/32.14 tff(14239,plain,
% 49.06/32.14 (((~![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))))),
% 49.06/32.14 inference(monotonicity,[status(thm)],[14238])).
% 49.06/32.14 tff(14240,plain,
% 49.06/32.14 (((~![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)))),
% 49.06/32.14 inference(transitivity,[status(thm)],[14239, 14237])).
% 49.06/32.14 tff(14241,plain,
% 49.06/32.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB93, constB94)) | (~v101(constB94)) | (~v110(constB94)) | v100(constB94))),
% 49.06/32.14 inference(quant_inst,[status(thm)],[])).
% 49.06/32.14 tff(14242,plain,
% 49.06/32.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94))),
% 49.06/32.14 inference(modus_ponens,[status(thm)],[14241, 14240])).
% 49.06/32.14 tff(14243,plain,
% 49.06/32.14 (v100(constB94) | (~v101(constB94)) | (~v110(constB94))),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14242, 318, 14211])).
% 49.06/32.14 tff(14244,plain,
% 49.06/32.14 (v100(constB94) | (~v110(constB94))),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14243, 14236])).
% 49.06/32.14 tff(14245,plain,
% 49.06/32.14 (v100(constB94)),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14244, 14219])).
% 49.06/32.14 tff(14246,plain,
% 49.06/32.14 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB93)) | v130(constB93, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB93)) | v130(constB93, bitIndex1))),
% 49.06/32.14 inference(rewrite,[status(thm)],[])).
% 49.06/32.14 tff(14247,plain,
% 49.06/32.14 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB93)) | v130(constB93, bitIndex1))),
% 49.06/32.14 inference(quant_inst,[status(thm)],[])).
% 49.06/32.14 tff(14248,plain,
% 49.06/32.14 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB93)) | v130(constB93, bitIndex1)),
% 49.06/32.14 inference(modus_ponens,[status(thm)],[14247, 14246])).
% 49.06/32.14 tff(14249,plain,
% 49.06/32.14 (v130(constB93, bitIndex1)),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14248, 667, 14180])).
% 49.06/32.14 tff(14250,plain,
% 49.06/32.14 (((~![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))) | v26(constB93) | (~v130(constB93, bitIndex1)) | v127(constB93, bitIndex1))),
% 49.06/32.14 inference(rewrite,[status(thm)],[])).
% 49.06/32.14 tff(14251,plain,
% 49.06/32.14 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB93) | (~v130(constB93, bitIndex1)) | v127(constB93, bitIndex1))),
% 49.06/32.14 inference(quant_inst,[status(thm)],[])).
% 49.06/32.14 tff(14252,plain,
% 49.06/32.14 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB93) | (~v130(constB93, bitIndex1)) | v127(constB93, bitIndex1)),
% 49.06/32.14 inference(modus_ponens,[status(thm)],[14251, 14250])).
% 49.06/32.14 tff(14253,plain,
% 49.06/32.14 ((~v130(constB93, bitIndex1)) | v127(constB93, bitIndex1)),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14252, 681, 14196])).
% 49.06/32.14 tff(14254,plain,
% 49.06/32.14 (v127(constB93, bitIndex1)),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14253, 14249])).
% 49.06/32.14 tff(14255,plain,
% 49.06/32.14 (((~![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))),
% 49.06/32.14 inference(rewrite,[status(thm)],[])).
% 49.06/32.14 tff(14256,plain,
% 49.06/32.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB93, constB94)) | (~v127(constB93, bitIndex1)) | v129(constB94, bitIndex1))),
% 49.06/32.14 inference(quant_inst,[status(thm)],[])).
% 49.06/32.14 tff(14257,plain,
% 49.06/32.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB93, constB94)) | (~v127(constB93, bitIndex1)) | v129(constB94, bitIndex1)),
% 49.06/32.14 inference(modus_ponens,[status(thm)],[14256, 14255])).
% 49.06/32.14 tff(14258,plain,
% 49.06/32.14 ((~v127(constB93, bitIndex1)) | v129(constB94, bitIndex1)),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14257, 696, 14211])).
% 49.06/32.14 tff(14259,plain,
% 49.06/32.14 (v129(constB94, bitIndex1)),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14258, 14254])).
% 49.06/32.14 tff(14260,plain,
% 49.06/32.14 (((~![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)))),
% 49.06/32.14 inference(rewrite,[status(thm)],[])).
% 49.06/32.14 tff(14261,plain,
% 49.06/32.14 ((v90(constB94, bitIndex1) | (~v100(constB94)) | (~v129(constB94, bitIndex1))) <=> (v90(constB94, bitIndex1) | (~v129(constB94, bitIndex1)) | (~v100(constB94)))),
% 49.06/32.14 inference(rewrite,[status(thm)],[])).
% 49.06/32.14 tff(14262,plain,
% 49.06/32.14 (((~![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))))),
% 49.06/32.14 inference(monotonicity,[status(thm)],[14261])).
% 49.06/32.14 tff(14263,plain,
% 49.06/32.14 (((~![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)))),
% 49.06/32.14 inference(transitivity,[status(thm)],[14262, 14260])).
% 49.06/32.14 tff(14264,plain,
% 49.06/32.14 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB94, bitIndex1) | (~v100(constB94)) | (~v129(constB94, bitIndex1)))),
% 49.06/32.14 inference(quant_inst,[status(thm)],[])).
% 49.06/32.14 tff(14265,plain,
% 49.06/32.14 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB94, bitIndex1) | (~v129(constB94, bitIndex1)) | (~v100(constB94))),
% 49.06/32.14 inference(modus_ponens,[status(thm)],[14264, 14263])).
% 49.06/32.14 tff(14266,plain,
% 49.06/32.14 (v90(constB94, bitIndex1) | (~v100(constB94))),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14265, 711, 14259])).
% 49.06/32.14 tff(14267,plain,
% 49.06/32.14 (v90(constB94, bitIndex1)),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14266, 14245])).
% 49.06/32.14 tff(14268,plain,
% 49.06/32.14 ((~v1(constB95)) <=> (~v1(constB95))),
% 49.06/32.14 inference(rewrite,[status(thm)],[])).
% 49.06/32.14 tff(14269,axiom,(~v1(constB95)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_95_1_1')).
% 49.06/32.14 tff(14270,plain,
% 49.06/32.14 (~v1(constB95)),
% 49.06/32.14 inference(modus_ponens,[status(thm)],[14269, 14268])).
% 49.06/32.14 tff(14271,plain,
% 49.06/32.14 (nextState(constB94, constB95) <=> nextState(constB94, constB95)),
% 49.06/32.14 inference(rewrite,[status(thm)],[])).
% 49.06/32.14 tff(14272,axiom,(nextState(constB94, constB95)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_94_1')).
% 49.06/32.14 tff(14273,plain,
% 49.06/32.14 (nextState(constB94, constB95)),
% 49.06/32.14 inference(modus_ponens,[status(thm)],[14272, 14271])).
% 49.06/32.14 tff(14274,plain,
% 49.06/32.14 (((~![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)))),
% 49.06/32.14 inference(rewrite,[status(thm)],[])).
% 49.06/32.14 tff(14275,plain,
% 49.06/32.14 (((~nextState(constB94, constB95)) | (~v101(constB95)) | v1(constB95)) <=> (v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95)))),
% 49.06/32.14 inference(rewrite,[status(thm)],[])).
% 49.06/32.14 tff(14276,plain,
% 49.06/32.14 (((~![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))))),
% 49.06/32.14 inference(monotonicity,[status(thm)],[14275])).
% 49.06/32.14 tff(14277,plain,
% 49.06/32.14 (((~![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)))),
% 49.06/32.14 inference(transitivity,[status(thm)],[14276, 14274])).
% 49.06/32.14 tff(14278,plain,
% 49.06/32.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB94, constB95)) | (~v101(constB95)) | v1(constB95))),
% 49.06/32.14 inference(quant_inst,[status(thm)],[])).
% 49.06/32.14 tff(14279,plain,
% 49.06/32.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95))),
% 49.06/32.14 inference(modus_ponens,[status(thm)],[14278, 14277])).
% 49.06/32.14 tff(14280,plain,
% 49.06/32.14 (~v101(constB95)),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14279, 49, 14273, 14270])).
% 49.06/32.14 tff(14281,plain,
% 49.06/32.14 (((~![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)))),
% 49.06/32.14 inference(rewrite,[status(thm)],[])).
% 49.06/32.14 tff(14282,plain,
% 49.06/32.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB94, constB95)) | v101(constB95) | (~v100(constB95)))),
% 49.06/32.14 inference(quant_inst,[status(thm)],[])).
% 49.06/32.14 tff(14283,plain,
% 49.06/32.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB94, constB95)) | v101(constB95) | (~v100(constB95))),
% 49.06/32.14 inference(modus_ponens,[status(thm)],[14282, 14281])).
% 49.06/32.14 tff(14284,plain,
% 49.06/32.14 (v101(constB95) | (~v100(constB95))),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14283, 66, 14273])).
% 49.06/32.14 tff(14285,plain,
% 49.06/32.14 (~v100(constB95)),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14284, 14280])).
% 49.06/32.14 tff(14286,plain,
% 49.06/32.14 (((~![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))),
% 49.06/32.14 inference(rewrite,[status(thm)],[])).
% 49.06/32.14 tff(14287,plain,
% 49.06/32.14 (((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex1)) | v100(constB95) | v90(constB95, bitIndex1)) <=> ((~v90(constB94, bitIndex1)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex1))),
% 49.06/32.14 inference(rewrite,[status(thm)],[])).
% 49.06/32.14 tff(14288,plain,
% 49.06/32.14 (((~![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)))),
% 49.06/32.14 inference(monotonicity,[status(thm)],[14287])).
% 49.06/32.14 tff(14289,plain,
% 49.06/32.14 (((~![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))),
% 49.06/32.14 inference(transitivity,[status(thm)],[14288, 14286])).
% 49.06/32.14 tff(14290,plain,
% 49.06/32.14 ((~![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))),
% 49.06/32.14 inference(quant_inst,[status(thm)],[])).
% 49.06/32.14 tff(14291,plain,
% 49.06/32.14 ((~![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)),
% 49.06/32.14 inference(modus_ponens,[status(thm)],[14290, 14289])).
% 49.06/32.14 tff(14292,plain,
% 49.06/32.14 ((~v90(constB94, bitIndex1)) | v100(constB95) | v90(constB95, bitIndex1)),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14291, 747, 14273])).
% 49.06/32.14 tff(14293,plain,
% 49.06/32.14 ((~v90(constB94, bitIndex1)) | v90(constB95, bitIndex1)),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14292, 14285])).
% 49.06/32.14 tff(14294,plain,
% 49.06/32.14 (v90(constB95, bitIndex1)),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14293, 14267])).
% 49.06/32.14 tff(14295,plain,
% 49.06/32.14 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB93)) | v130(constB93, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB93)) | v130(constB93, bitIndex2))),
% 49.06/32.14 inference(rewrite,[status(thm)],[])).
% 49.06/32.14 tff(14296,plain,
% 49.06/32.14 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB93)) | v130(constB93, bitIndex2))),
% 49.06/32.14 inference(quant_inst,[status(thm)],[])).
% 49.06/32.14 tff(14297,plain,
% 49.06/32.14 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB93)) | v130(constB93, bitIndex2)),
% 49.06/32.14 inference(modus_ponens,[status(thm)],[14296, 14295])).
% 49.06/32.14 tff(14298,plain,
% 49.06/32.14 (v130(constB93, bitIndex2)),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14297, 836, 14180])).
% 49.06/32.14 tff(14299,plain,
% 49.06/32.14 (((~![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))),
% 49.06/32.14 inference(rewrite,[status(thm)],[])).
% 49.06/32.14 tff(14300,plain,
% 49.06/32.14 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB93) | (~v130(constB93, bitIndex2)) | v127(constB93, bitIndex2))),
% 49.06/32.14 inference(quant_inst,[status(thm)],[])).
% 49.06/32.14 tff(14301,plain,
% 49.06/32.14 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB93) | (~v130(constB93, bitIndex2)) | v127(constB93, bitIndex2)),
% 49.06/32.14 inference(modus_ponens,[status(thm)],[14300, 14299])).
% 49.06/32.14 tff(14302,plain,
% 49.06/32.14 ((~v130(constB93, bitIndex2)) | v127(constB93, bitIndex2)),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14301, 351, 14196])).
% 49.06/32.14 tff(14303,plain,
% 49.06/32.14 (v127(constB93, bitIndex2)),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14302, 14298])).
% 49.06/32.14 tff(14304,plain,
% 49.06/32.14 (((~![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))),
% 49.06/32.14 inference(rewrite,[status(thm)],[])).
% 49.06/32.14 tff(14305,plain,
% 49.06/32.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB93, constB94)) | (~v127(constB93, bitIndex2)) | v129(constB94, bitIndex2))),
% 49.06/32.14 inference(quant_inst,[status(thm)],[])).
% 49.06/32.14 tff(14306,plain,
% 49.06/32.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB93, constB94)) | (~v127(constB93, bitIndex2)) | v129(constB94, bitIndex2)),
% 49.06/32.14 inference(modus_ponens,[status(thm)],[14305, 14304])).
% 49.06/32.14 tff(14307,plain,
% 49.06/32.14 ((~v127(constB93, bitIndex2)) | v129(constB94, bitIndex2)),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14306, 366, 14211])).
% 49.06/32.14 tff(14308,plain,
% 49.06/32.14 (v129(constB94, bitIndex2)),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14307, 14303])).
% 49.06/32.14 tff(14309,plain,
% 49.06/32.14 (((~![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)))),
% 49.06/32.14 inference(rewrite,[status(thm)],[])).
% 49.06/32.14 tff(14310,plain,
% 49.06/32.14 ((v90(constB94, bitIndex2) | (~v100(constB94)) | (~v129(constB94, bitIndex2))) <=> (v90(constB94, bitIndex2) | (~v129(constB94, bitIndex2)) | (~v100(constB94)))),
% 49.06/32.14 inference(rewrite,[status(thm)],[])).
% 49.06/32.14 tff(14311,plain,
% 49.06/32.14 (((~![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))))),
% 49.06/32.14 inference(monotonicity,[status(thm)],[14310])).
% 49.06/32.14 tff(14312,plain,
% 49.06/32.14 (((~![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)))),
% 49.06/32.14 inference(transitivity,[status(thm)],[14311, 14309])).
% 49.06/32.14 tff(14313,plain,
% 49.06/32.14 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB94, bitIndex2) | (~v100(constB94)) | (~v129(constB94, bitIndex2)))),
% 49.06/32.14 inference(quant_inst,[status(thm)],[])).
% 49.06/32.14 tff(14314,plain,
% 49.06/32.14 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB94, bitIndex2) | (~v129(constB94, bitIndex2)) | (~v100(constB94))),
% 49.06/32.14 inference(modus_ponens,[status(thm)],[14313, 14312])).
% 49.06/32.14 tff(14315,plain,
% 49.06/32.14 (v90(constB94, bitIndex2) | (~v100(constB94))),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14314, 381, 14308])).
% 49.06/32.14 tff(14316,plain,
% 49.06/32.14 (v90(constB94, bitIndex2)),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14315, 14245])).
% 49.06/32.14 tff(14317,plain,
% 49.06/32.14 (((~![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))),
% 49.06/32.14 inference(rewrite,[status(thm)],[])).
% 49.06/32.14 tff(14318,plain,
% 49.06/32.14 (((~nextState(constB94, constB95)) | (~v90(constB94, bitIndex2)) | v100(constB95) | v90(constB95, bitIndex2)) <=> ((~v90(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, bitIndex2))),
% 49.06/32.14 inference(rewrite,[status(thm)],[])).
% 49.06/32.14 tff(14319,plain,
% 49.06/32.14 (((~![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)))),
% 49.06/32.14 inference(monotonicity,[status(thm)],[14318])).
% 49.06/32.14 tff(14320,plain,
% 49.06/32.14 (((~![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))),
% 49.06/32.14 inference(transitivity,[status(thm)],[14319, 14317])).
% 49.06/32.14 tff(14321,plain,
% 49.06/32.14 ((~![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))),
% 49.06/32.14 inference(quant_inst,[status(thm)],[])).
% 49.06/32.14 tff(14322,plain,
% 49.06/32.14 ((~![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)),
% 49.06/32.14 inference(modus_ponens,[status(thm)],[14321, 14320])).
% 49.06/32.14 tff(14323,plain,
% 49.06/32.14 ((~v90(constB94, bitIndex2)) | v100(constB95) | v90(constB95, bitIndex2)),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14322, 417, 14273])).
% 49.06/32.14 tff(14324,plain,
% 49.06/32.14 ((~v90(constB94, bitIndex2)) | v90(constB95, bitIndex2)),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14323, 14285])).
% 49.06/32.14 tff(14325,plain,
% 49.06/32.14 (v90(constB95, bitIndex2)),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14324, 14316])).
% 49.06/32.14 tff(14326,assumption,(v122(constB91)), introduced(assumption)).
% 49.06/32.14 tff(14327,plain,
% 49.06/32.14 (v116(constB91)),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[13996, 1800, 14326])).
% 49.06/32.14 tff(14328,plain,
% 49.06/32.14 (v115(constB91)),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14000, 188, 14327])).
% 49.06/32.14 tff(14329,plain,
% 49.06/32.14 (v114(constB91)),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14004, 199, 14328])).
% 49.06/32.14 tff(14330,plain,
% 49.06/32.14 (v113(constB91)),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14008, 210, 14329])).
% 49.06/32.14 tff(14331,plain,
% 49.06/32.14 (v112(constB91)),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14017, 14330])).
% 49.06/32.14 tff(14332,plain,
% 49.06/32.14 (v108(constB91)),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14021, 236, 14331])).
% 49.06/32.14 tff(14333,plain,
% 49.06/32.14 (v110(constB92)),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14032, 14332])).
% 49.06/32.14 tff(14334,plain,
% 49.06/32.14 (v100(constB92)),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14058, 14333])).
% 49.06/32.14 tff(14335,plain,
% 49.06/32.14 (v130(constB91, bitIndex2)),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14062, 1876, 14326])).
% 49.06/32.14 tff(14336,plain,
% 49.06/32.14 (v127(constB91, bitIndex2)),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14067, 14335])).
% 49.06/32.14 tff(14337,plain,
% 49.06/32.14 (v129(constB92, bitIndex2)),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14072, 14336])).
% 49.06/32.14 tff(14338,plain,
% 49.06/32.14 (v90(constB92, bitIndex2) | (~v100(constB92))),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14079, 381, 14337])).
% 49.06/32.14 tff(14339,plain,
% 49.06/32.14 (v90(constB92, bitIndex2)),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14338, 14334])).
% 49.06/32.14 tff(14340,plain,
% 49.06/32.14 (v90(constB93, bitIndex2)),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14107, 14339])).
% 49.06/32.14 tff(14341,plain,
% 49.06/32.14 (~v130(constB91, bitIndex1)),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14111, 1935, 14326])).
% 49.06/32.14 tff(14342,plain,
% 49.06/32.14 (~v127(constB91, bitIndex1)),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14119, 14341])).
% 49.06/32.14 tff(14343,plain,
% 49.06/32.14 (~v129(constB92, bitIndex1)),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14124, 14342])).
% 49.06/32.14 tff(14344,plain,
% 49.06/32.14 ((~v90(constB92, bitIndex1)) | (~v100(constB92))),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14131, 483, 14343])).
% 49.06/32.14 tff(14345,plain,
% 49.06/32.14 (~v90(constB92, bitIndex1)),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14344, 14334])).
% 49.06/32.14 tff(14346,plain,
% 49.06/32.14 (~v90(constB93, bitIndex1)),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14141, 14345])).
% 49.06/32.14 tff(14347,plain,
% 49.06/32.14 (~v130(constB91, bitIndex0)),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14145, 1997, 14326])).
% 49.06/32.14 tff(14348,plain,
% 49.06/32.14 (~v127(constB91, bitIndex0)),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14153, 14347])).
% 49.06/32.14 tff(14349,plain,
% 49.06/32.14 (~v129(constB92, bitIndex0)),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14158, 14348])).
% 49.06/32.14 tff(14350,plain,
% 49.06/32.14 ((~v90(constB92, bitIndex0)) | (~v100(constB92))),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14165, 557, 14349])).
% 49.06/32.14 tff(14351,plain,
% 49.06/32.14 (~v90(constB92, bitIndex0)),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14350, 14334])).
% 49.06/32.14 tff(14352,plain,
% 49.06/32.14 (~v90(constB93, bitIndex0)),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14175, 14351])).
% 49.06/32.14 tff(14353,plain,
% 49.06/32.14 (v123(constB93)),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14179, 584, 14352, 14346, 14340])).
% 49.06/32.14 tff(14354,assumption,(v90(constB94, bitIndex0)), introduced(assumption)).
% 49.06/32.14 tff(14355,plain,
% 49.06/32.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB93, bitIndex0) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB93, bitIndex0) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, bitIndex0)))),
% 49.06/32.14 inference(rewrite,[status(thm)],[])).
% 49.06/32.14 tff(14356,plain,
% 49.06/32.14 (((~nextState(constB93, constB94)) | v90(constB93, bitIndex0) | v100(constB94) | (~v90(constB94, bitIndex0))) <=> (v90(constB93, bitIndex0) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, bitIndex0)))),
% 49.06/32.14 inference(rewrite,[status(thm)],[])).
% 49.06/32.14 tff(14357,plain,
% 49.06/32.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB93, constB94)) | v90(constB93, bitIndex0) | v100(constB94) | (~v90(constB94, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB93, bitIndex0) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, bitIndex0))))),
% 49.06/32.14 inference(monotonicity,[status(thm)],[14356])).
% 49.06/32.14 tff(14358,plain,
% 49.06/32.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB93, constB94)) | v90(constB93, bitIndex0) | v100(constB94) | (~v90(constB94, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB93, bitIndex0) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, bitIndex0)))),
% 49.06/32.14 inference(transitivity,[status(thm)],[14357, 14355])).
% 49.06/32.14 tff(14359,plain,
% 49.06/32.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB93, constB94)) | v90(constB93, bitIndex0) | v100(constB94) | (~v90(constB94, bitIndex0)))),
% 49.06/32.14 inference(quant_inst,[status(thm)],[])).
% 49.06/32.14 tff(14360,plain,
% 49.06/32.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB93, bitIndex0) | (~nextState(constB93, constB94)) | v100(constB94) | (~v90(constB94, bitIndex0))),
% 49.06/32.14 inference(modus_ponens,[status(thm)],[14359, 14358])).
% 49.06/32.14 tff(14361,plain,
% 49.06/32.14 (v90(constB93, bitIndex0) | v100(constB94) | (~v90(constB94, bitIndex0))),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14360, 123, 14211])).
% 49.06/32.14 tff(14362,plain,
% 49.06/32.14 (v100(constB94)),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14361, 14352, 14354])).
% 49.06/32.14 tff(14363,plain,
% 49.06/32.14 (((~![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)))),
% 49.06/32.14 inference(rewrite,[status(thm)],[])).
% 49.06/32.14 tff(14364,plain,
% 49.06/32.14 (((~v90(constB94, bitIndex0)) | (~v100(constB94)) | v129(constB94, bitIndex0)) <=> ((~v90(constB94, bitIndex0)) | v129(constB94, bitIndex0) | (~v100(constB94)))),
% 49.06/32.14 inference(rewrite,[status(thm)],[])).
% 49.06/32.14 tff(14365,plain,
% 49.06/32.14 (((~![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))))),
% 49.06/32.14 inference(monotonicity,[status(thm)],[14364])).
% 49.06/32.14 tff(14366,plain,
% 49.06/32.14 (((~![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)))),
% 49.06/32.14 inference(transitivity,[status(thm)],[14365, 14363])).
% 49.06/32.14 tff(14367,plain,
% 49.06/32.14 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB94, bitIndex0)) | (~v100(constB94)) | v129(constB94, bitIndex0))),
% 49.06/32.14 inference(quant_inst,[status(thm)],[])).
% 49.06/32.14 tff(14368,plain,
% 49.06/32.14 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB94, bitIndex0)) | v129(constB94, bitIndex0) | (~v100(constB94))),
% 49.06/32.14 inference(modus_ponens,[status(thm)],[14367, 14366])).
% 49.06/32.14 tff(14369,plain,
% 49.06/32.14 (v129(constB94, bitIndex0) | (~v100(constB94))),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14368, 557, 14354])).
% 49.06/32.14 tff(14370,plain,
% 49.06/32.14 (v129(constB94, bitIndex0)),
% 49.06/32.14 inference(unit_resolution,[status(thm)],[14369, 14362])).
% 49.06/32.14 tff(14371,plain,
% 49.06/32.14 (((~![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)))),
% 49.06/32.14 inference(rewrite,[status(thm)],[])).
% 49.06/32.14 tff(14372,plain,
% 49.06/32.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB93, constB94)) | v127(constB93, bitIndex0) | (~v129(constB94, bitIndex0)))),
% 49.06/32.15 inference(quant_inst,[status(thm)],[])).
% 49.06/32.15 tff(14373,plain,
% 49.06/32.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB93, constB94)) | v127(constB93, bitIndex0) | (~v129(constB94, bitIndex0))),
% 49.06/32.15 inference(modus_ponens,[status(thm)],[14372, 14371])).
% 49.06/32.15 tff(14374,plain,
% 49.06/32.15 (v127(constB93, bitIndex0) | (~v129(constB94, bitIndex0))),
% 49.06/32.15 inference(unit_resolution,[status(thm)],[14373, 542, 14211])).
% 49.06/32.15 tff(14375,plain,
% 49.06/32.15 (v127(constB93, bitIndex0)),
% 49.06/32.15 inference(unit_resolution,[status(thm)],[14374, 14370])).
% 49.06/32.15 tff(14376,plain,
% 49.06/32.15 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB93, bitIndex0)) | v26(constB93) | v130(constB93, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB93, bitIndex0)) | v26(constB93) | v130(constB93, bitIndex0))),
% 49.06/32.15 inference(rewrite,[status(thm)],[])).
% 49.06/32.15 tff(14377,plain,
% 49.06/32.15 ((v26(constB93) | v130(constB93, bitIndex0) | (~v127(constB93, bitIndex0))) <=> ((~v127(constB93, bitIndex0)) | v26(constB93) | v130(constB93, bitIndex0))),
% 49.06/32.15 inference(rewrite,[status(thm)],[])).
% 49.06/32.15 tff(14378,plain,
% 49.06/32.15 (((~![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)))) | ((~v127(constB93, bitIndex0)) | v26(constB93) | v130(constB93, bitIndex0)))),
% 49.06/32.15 inference(monotonicity,[status(thm)],[14377])).
% 49.06/32.15 tff(14379,plain,
% 49.06/32.15 (((~![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)))) | (~v127(constB93, bitIndex0)) | v26(constB93) | v130(constB93, bitIndex0))),
% 49.06/32.15 inference(transitivity,[status(thm)],[14378, 14376])).
% 49.06/32.15 tff(14380,plain,
% 49.06/32.15 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB93) | v130(constB93, bitIndex0) | (~v127(constB93, bitIndex0)))),
% 49.06/32.15 inference(quant_inst,[status(thm)],[])).
% 49.06/32.15 tff(14381,plain,
% 49.06/32.15 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB93, bitIndex0)) | v26(constB93) | v130(constB93, bitIndex0)),
% 49.06/32.15 inference(modus_ponens,[status(thm)],[14380, 14379])).
% 49.06/32.15 tff(14382,plain,
% 49.06/32.15 ((~v127(constB93, bitIndex0)) | v130(constB93, bitIndex0)),
% 49.06/32.15 inference(unit_resolution,[status(thm)],[14381, 524, 14196])).
% 49.06/32.15 tff(14383,plain,
% 49.06/32.15 (v130(constB93, bitIndex0)),
% 49.06/32.15 inference(unit_resolution,[status(thm)],[14382, 14375])).
% 49.06/32.15 tff(14384,plain,
% 49.06/32.15 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB93)) | (~v130(constB93, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB93)) | (~v130(constB93, bitIndex0)))),
% 49.06/32.15 inference(rewrite,[status(thm)],[])).
% 49.06/32.15 tff(14385,plain,
% 49.06/32.15 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB93)) | (~v130(constB93, bitIndex0)))),
% 49.06/32.15 inference(quant_inst,[status(thm)],[])).
% 49.06/32.15 tff(14386,plain,
% 49.06/32.15 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB93)) | (~v130(constB93, bitIndex0))),
% 49.06/32.15 inference(modus_ponens,[status(thm)],[14385, 14384])).
% 49.06/32.15 tff(14387,plain,
% 49.06/32.15 ($false),
% 49.06/32.15 inference(unit_resolution,[status(thm)],[14386, 975, 14383, 14353])).
% 49.06/32.15 tff(14388,plain,((~v122(constB91)) | (~v90(constB94, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 49.06/32.15 tff(14389,plain,
% 49.06/32.15 (~v90(constB94, bitIndex0)),
% 49.06/32.15 inference(unit_resolution,[status(thm)],[14388, 13993])).
% 49.06/32.15 tff(14390,plain,
% 49.06/32.15 (((~![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)))),
% 49.06/32.15 inference(rewrite,[status(thm)],[])).
% 49.06/32.15 tff(14391,plain,
% 49.06/32.15 (((~nextState(constB94, constB95)) | v90(constB94, bitIndex0) | v100(constB95) | (~v90(constB95, bitIndex0))) <=> (v90(constB94, bitIndex0) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, bitIndex0)))),
% 49.06/32.15 inference(rewrite,[status(thm)],[])).
% 49.06/32.15 tff(14392,plain,
% 49.06/32.15 (((~![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))))),
% 49.06/32.15 inference(monotonicity,[status(thm)],[14391])).
% 49.06/32.15 tff(14393,plain,
% 49.06/32.15 (((~![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)))),
% 49.06/32.15 inference(transitivity,[status(thm)],[14392, 14390])).
% 49.06/32.15 tff(14394,plain,
% 49.06/32.15 ((~![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)))),
% 49.06/32.15 inference(quant_inst,[status(thm)],[])).
% 49.06/32.15 tff(14395,plain,
% 49.06/32.15 ((~![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))),
% 49.06/32.15 inference(modus_ponens,[status(thm)],[14394, 14393])).
% 49.06/32.15 tff(14396,plain,
% 49.06/32.15 (v90(constB94, bitIndex0) | v100(constB95) | (~v90(constB95, bitIndex0))),
% 49.06/32.15 inference(unit_resolution,[status(thm)],[14395, 123, 14273])).
% 49.06/32.15 tff(14397,plain,
% 49.06/32.15 (v90(constB94, bitIndex0) | (~v90(constB95, bitIndex0))),
% 49.06/32.15 inference(unit_resolution,[status(thm)],[14396, 14285])).
% 49.06/32.15 tff(14398,plain,
% 49.06/32.15 (~v90(constB95, bitIndex0)),
% 49.06/32.15 inference(unit_resolution,[status(thm)],[14397, 14389])).
% 49.06/32.15 tff(14399,plain,
% 49.06/32.15 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB95, bitIndex0) | (~v90(constB95, bitIndex1)) | (~v90(constB95, bitIndex2)) | v125(constB95))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB95, bitIndex0) | (~v90(constB95, bitIndex1)) | (~v90(constB95, bitIndex2)) | v125(constB95))),
% 49.06/32.15 inference(rewrite,[status(thm)],[])).
% 49.06/32.15 tff(14400,plain,
% 49.06/32.15 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB95, bitIndex0) | (~v90(constB95, bitIndex1)) | (~v90(constB95, bitIndex2)) | v125(constB95))),
% 49.06/32.15 inference(quant_inst,[status(thm)],[])).
% 49.06/32.15 tff(14401,plain,
% 49.06/32.15 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB95, bitIndex0) | (~v90(constB95, bitIndex1)) | (~v90(constB95, bitIndex2)) | v125(constB95)),
% 49.06/32.15 inference(modus_ponens,[status(thm)],[14400, 14399])).
% 49.06/32.15 tff(14402,plain,
% 49.06/32.15 ((~v90(constB95, bitIndex1)) | (~v90(constB95, bitIndex2)) | v125(constB95)),
% 49.06/32.15 inference(unit_resolution,[status(thm)],[14401, 1019, 14398])).
% 49.06/32.15 tff(14403,plain,
% 49.06/32.15 (v125(constB95)),
% 49.06/32.15 inference(unit_resolution,[status(thm)],[14402, 14325, 14294])).
% 49.06/32.15 tff(14404,plain,
% 49.06/32.15 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB95) | (~v125(constB95)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB95) | (~v125(constB95)))),
% 49.06/32.15 inference(rewrite,[status(thm)],[])).
% 49.06/32.15 tff(14405,plain,
% 49.06/32.15 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB95) | (~v125(constB95)))),
% 49.06/32.15 inference(quant_inst,[status(thm)],[])).
% 49.06/32.15 tff(14406,plain,
% 49.06/32.15 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB95) | (~v125(constB95))),
% 49.06/32.15 inference(modus_ponens,[status(thm)],[14405, 14404])).
% 49.06/32.15 tff(14407,plain,
% 49.06/32.15 (v113(constB95)),
% 49.06/32.15 inference(unit_resolution,[status(thm)],[14406, 1031, 14403])).
% 49.06/32.15 tff(14408,assumption,(v26(constB95)), introduced(assumption)).
% 49.06/32.15 tff(14409,plain,
% 49.06/32.15 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB95))),
% 49.06/32.15 inference(quant_inst,[status(thm)],[])).
% 49.06/32.15 tff(14410,plain,
% 49.06/32.15 ($false),
% 49.06/32.15 inference(unit_resolution,[status(thm)],[14409, 16, 14408])).
% 49.06/32.15 tff(14411,plain,(~v26(constB95)), inference(lemma,lemma(discharge,[]))).
% 49.06/32.15 tff(14412,plain,
% 49.06/32.15 (((~![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)))),
% 49.06/32.15 inference(rewrite,[status(thm)],[])).
% 49.06/32.15 tff(14413,plain,
% 49.06/32.15 ((v26(constB95) | (~v113(constB95)) | v112(constB95)) <=> (v26(constB95) | v112(constB95) | (~v113(constB95)))),
% 49.06/32.15 inference(rewrite,[status(thm)],[])).
% 49.06/32.15 tff(14414,plain,
% 49.06/32.15 (((~![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))))),
% 49.06/32.15 inference(monotonicity,[status(thm)],[14413])).
% 49.06/32.15 tff(14415,plain,
% 49.06/32.15 (((~![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)))),
% 49.06/32.15 inference(transitivity,[status(thm)],[14414, 14412])).
% 49.06/32.15 tff(14416,plain,
% 49.06/32.15 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB95) | (~v113(constB95)) | v112(constB95))),
% 49.06/32.15 inference(quant_inst,[status(thm)],[])).
% 49.06/32.15 tff(14417,plain,
% 49.06/32.15 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB95) | v112(constB95) | (~v113(constB95))),
% 49.06/32.15 inference(modus_ponens,[status(thm)],[14416, 14415])).
% 49.06/32.15 tff(14418,plain,
% 49.06/32.15 (v112(constB95) | (~v113(constB95))),
% 49.06/32.15 inference(unit_resolution,[status(thm)],[14417, 224, 14411])).
% 49.06/32.15 tff(14419,plain,
% 49.06/32.15 (v112(constB95)),
% 49.06/32.15 inference(unit_resolution,[status(thm)],[14418, 14407])).
% 49.06/32.15 tff(14420,plain,
% 49.06/32.15 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB95) | (~v112(constB95)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB95) | (~v112(constB95)))),
% 49.06/32.15 inference(rewrite,[status(thm)],[])).
% 49.06/32.15 tff(14421,plain,
% 49.06/32.15 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB95) | (~v112(constB95)))),
% 49.06/32.15 inference(quant_inst,[status(thm)],[])).
% 49.06/32.15 tff(14422,plain,
% 49.06/32.15 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB95) | (~v112(constB95))),
% 49.06/32.15 inference(modus_ponens,[status(thm)],[14421, 14420])).
% 49.06/32.15 tff(14423,plain,
% 49.06/32.15 (v108(constB95)),
% 49.06/32.15 inference(unit_resolution,[status(thm)],[14422, 236, 14419])).
% 49.06/32.15 tff(14424,plain,
% 49.06/32.15 (nextState(constB95, constB96) <=> nextState(constB95, constB96)),
% 49.06/32.15 inference(rewrite,[status(thm)],[])).
% 49.06/32.15 tff(14425,axiom,(nextState(constB95, constB96)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_95_1')).
% 49.06/32.15 tff(14426,plain,
% 49.06/32.15 (nextState(constB95, constB96)),
% 49.06/32.15 inference(modus_ponens,[status(thm)],[14425, 14424])).
% 49.06/32.15 tff(14427,plain,
% 49.06/32.15 (((~![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)))),
% 49.06/32.15 inference(rewrite,[status(thm)],[])).
% 49.06/32.15 tff(14428,plain,
% 49.06/32.15 (((~nextState(constB95, constB96)) | (~v108(constB95)) | v110(constB96)) <=> ((~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95)))),
% 49.06/32.15 inference(rewrite,[status(thm)],[])).
% 49.06/32.15 tff(14429,plain,
% 49.06/32.15 (((~![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))))),
% 49.06/32.15 inference(monotonicity,[status(thm)],[14428])).
% 49.06/32.15 tff(14430,plain,
% 49.06/32.15 (((~![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)))),
% 49.06/32.15 inference(transitivity,[status(thm)],[14429, 14427])).
% 49.06/32.15 tff(14431,plain,
% 49.06/32.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB95, constB96)) | (~v108(constB95)) | v110(constB96))),
% 49.06/32.15 inference(quant_inst,[status(thm)],[])).
% 49.06/32.15 tff(14432,plain,
% 49.06/32.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95))),
% 49.06/32.15 inference(modus_ponens,[status(thm)],[14431, 14430])).
% 49.06/32.15 tff(14433,plain,
% 49.06/32.15 (v110(constB96) | (~v108(constB95))),
% 49.06/32.15 inference(unit_resolution,[status(thm)],[14432, 253, 14426])).
% 49.06/32.15 tff(14434,plain,
% 49.06/32.15 (v110(constB96)),
% 49.06/32.15 inference(unit_resolution,[status(thm)],[14433, 14423])).
% 49.06/32.15 tff(14435,plain,
% 49.06/32.15 (((~![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)))),
% 49.06/32.15 inference(rewrite,[status(thm)],[])).
% 49.06/32.15 tff(14436,plain,
% 49.06/32.15 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB95) | (~nextState(constB95, constB96)) | (~v104(constB96)))),
% 49.06/32.15 inference(quant_inst,[status(thm)],[])).
% 49.06/32.15 tff(14437,plain,
% 49.06/32.15 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB95) | (~nextState(constB95, constB96)) | (~v104(constB96))),
% 49.06/32.15 inference(modus_ponens,[status(thm)],[14436, 14435])).
% 49.06/32.15 tff(14438,plain,
% 49.06/32.15 (~v104(constB96)),
% 49.06/32.15 inference(unit_resolution,[status(thm)],[14437, 271, 14426, 14270])).
% 49.06/32.15 tff(14439,plain,
% 49.06/32.15 (((~![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))),
% 49.06/32.15 inference(rewrite,[status(thm)],[])).
% 49.06/32.15 tff(14440,plain,
% 49.06/32.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB95, constB96)) | v102(constB96) | v104(constB96))),
% 49.06/32.15 inference(quant_inst,[status(thm)],[])).
% 49.06/32.15 tff(14441,plain,
% 49.06/32.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB95, constB96)) | v102(constB96) | v104(constB96)),
% 49.06/32.15 inference(modus_ponens,[status(thm)],[14440, 14439])).
% 49.06/32.15 tff(14442,plain,
% 49.06/32.15 (v102(constB96) | v104(constB96)),
% 49.06/32.15 inference(unit_resolution,[status(thm)],[14441, 285, 14426])).
% 49.06/32.15 tff(14443,plain,
% 49.06/32.15 (v102(constB96)),
% 49.06/32.15 inference(unit_resolution,[status(thm)],[14442, 14438])).
% 49.06/32.15 tff(14444,plain,
% 49.06/32.15 (v1(constB96) <=> v1(constB96)),
% 49.06/32.15 inference(rewrite,[status(thm)],[])).
% 49.06/32.15 tff(14445,axiom,(v1(constB96)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_96_1')).
% 49.06/32.15 tff(14446,plain,
% 49.06/32.15 (v1(constB96)),
% 49.06/32.15 inference(modus_ponens,[status(thm)],[14445, 14444])).
% 49.06/32.15 tff(14447,plain,
% 49.06/32.15 (((~![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)))),
% 49.06/32.15 inference(rewrite,[status(thm)],[])).
% 49.06/32.15 tff(14448,plain,
% 49.06/32.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB95, constB96)) | v101(constB96) | (~v102(constB96)) | (~v1(constB96)))),
% 49.06/32.15 inference(quant_inst,[status(thm)],[])).
% 49.06/32.15 tff(14449,plain,
% 49.06/32.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB95, constB96)) | v101(constB96) | (~v102(constB96)) | (~v1(constB96))),
% 49.06/32.15 inference(modus_ponens,[status(thm)],[14448, 14447])).
% 49.06/32.15 tff(14450,plain,
% 49.06/32.15 (v101(constB96) | (~v102(constB96))),
% 49.06/32.15 inference(unit_resolution,[status(thm)],[14449, 303, 14426, 14446])).
% 49.06/32.15 tff(14451,plain,
% 49.06/32.15 (v101(constB96)),
% 49.06/32.15 inference(unit_resolution,[status(thm)],[14450, 14443])).
% 49.06/32.15 tff(14452,plain,
% 49.06/32.15 (((~![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)))),
% 49.06/32.15 inference(rewrite,[status(thm)],[])).
% 49.06/32.15 tff(14453,plain,
% 49.06/32.15 (((~nextState(constB95, constB96)) | (~v101(constB96)) | (~v110(constB96)) | v100(constB96)) <=> ((~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96)))),
% 49.06/32.15 inference(rewrite,[status(thm)],[])).
% 49.06/32.15 tff(14454,plain,
% 49.06/32.15 (((~![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))))),
% 49.06/32.15 inference(monotonicity,[status(thm)],[14453])).
% 49.06/32.15 tff(14455,plain,
% 49.06/32.15 (((~![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)))),
% 49.06/32.15 inference(transitivity,[status(thm)],[14454, 14452])).
% 49.06/32.15 tff(14456,plain,
% 49.06/32.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB95, constB96)) | (~v101(constB96)) | (~v110(constB96)) | v100(constB96))),
% 49.06/32.15 inference(quant_inst,[status(thm)],[])).
% 49.06/32.15 tff(14457,plain,
% 49.06/32.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96))),
% 49.06/32.15 inference(modus_ponens,[status(thm)],[14456, 14455])).
% 49.06/32.15 tff(14458,plain,
% 49.06/32.15 (v100(constB96) | (~v101(constB96)) | (~v110(constB96))),
% 49.06/32.15 inference(unit_resolution,[status(thm)],[14457, 318, 14426])).
% 49.06/32.15 tff(14459,plain,
% 49.06/32.15 (v100(constB96) | (~v110(constB96))),
% 49.06/32.15 inference(unit_resolution,[status(thm)],[14458, 14451])).
% 49.06/32.15 tff(14460,plain,
% 49.06/32.15 (v100(constB96)),
% 49.06/32.15 inference(unit_resolution,[status(thm)],[14459, 14434])).
% 49.06/32.15 tff(14461,plain,
% 49.06/32.15 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB95)) | (~v90(constB95, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB95)) | (~v90(constB95, bitIndex1)))),
% 49.06/32.15 inference(rewrite,[status(thm)],[])).
% 49.06/32.15 tff(14462,plain,
% 49.06/32.15 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB95)) | (~v90(constB95, bitIndex1)))),
% 49.06/32.15 inference(quant_inst,[status(thm)],[])).
% 49.06/32.15 tff(14463,plain,
% 49.06/32.15 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB95)) | (~v90(constB95, bitIndex1))),
% 49.06/32.15 inference(modus_ponens,[status(thm)],[14462, 14461])).
% 49.06/32.15 tff(14464,plain,
% 49.06/32.15 (~v119(constB95)),
% 49.06/32.15 inference(unit_resolution,[status(thm)],[14463, 2293, 14294])).
% 49.06/32.15 tff(14465,plain,
% 49.06/32.15 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB95, bitIndex2)) | (~v121(constB95)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB95, bitIndex2)) | (~v121(constB95)))),
% 49.06/32.15 inference(rewrite,[status(thm)],[])).
% 49.06/32.15 tff(14466,plain,
% 49.06/32.15 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB95, bitIndex2)) | (~v121(constB95)))),
% 49.06/32.15 inference(quant_inst,[status(thm)],[])).
% 49.06/32.15 tff(14467,plain,
% 49.06/32.15 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB95, bitIndex2)) | (~v121(constB95))),
% 49.06/32.15 inference(modus_ponens,[status(thm)],[14466, 14465])).
% 49.06/32.15 tff(14468,plain,
% 49.06/32.15 (~v121(constB95)),
% 49.06/32.15 inference(unit_resolution,[status(thm)],[14467, 883, 14325])).
% 49.06/32.15 tff(14469,plain,
% 49.06/32.15 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB95, bitIndex1)) | (~v123(constB95)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB95, bitIndex1)) | (~v123(constB95)))),
% 49.06/32.15 inference(rewrite,[status(thm)],[])).
% 49.06/32.15 tff(14470,plain,
% 49.06/32.15 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB95, bitIndex1)) | (~v123(constB95)))),
% 49.06/32.15 inference(quant_inst,[status(thm)],[])).
% 49.06/32.15 tff(14471,plain,
% 49.06/32.15 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB95, bitIndex1)) | (~v123(constB95))),
% 49.06/32.15 inference(modus_ponens,[status(thm)],[14470, 14469])).
% 49.06/32.15 tff(14472,plain,
% 49.06/32.15 (~v123(constB95)),
% 49.06/32.15 inference(unit_resolution,[status(thm)],[14471, 774, 14294])).
% 49.06/32.15 tff(14473,plain,
% 49.06/32.15 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB95, bitIndex0) | (~v120(constB95)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB95, bitIndex0) | (~v120(constB95)))),
% 49.06/32.15 inference(rewrite,[status(thm)],[])).
% 49.06/32.15 tff(14474,plain,
% 49.06/32.15 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB95, bitIndex0) | (~v120(constB95)))),
% 49.06/32.15 inference(quant_inst,[status(thm)],[])).
% 49.06/32.15 tff(14475,plain,
% 49.06/32.15 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB95, bitIndex0) | (~v120(constB95))),
% 49.06/32.15 inference(modus_ponens,[status(thm)],[14474, 14473])).
% 49.06/32.15 tff(14476,plain,
% 49.06/32.15 (~v120(constB95)),
% 49.06/32.15 inference(unit_resolution,[status(thm)],[14475, 2943, 14398])).
% 49.06/32.15 tff(14477,plain,
% 49.06/32.15 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB95, bitIndex0) | (~v122(constB95)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB95, bitIndex0) | (~v122(constB95)))),
% 49.06/32.15 inference(rewrite,[status(thm)],[])).
% 49.06/32.15 tff(14478,plain,
% 49.06/32.15 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB95, bitIndex0) | (~v122(constB95)))),
% 49.06/32.15 inference(quant_inst,[status(thm)],[])).
% 49.06/32.15 tff(14479,plain,
% 49.06/32.15 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB95, bitIndex0) | (~v122(constB95))),
% 49.06/32.15 inference(modus_ponens,[status(thm)],[14478, 14477])).
% 49.06/32.15 tff(14480,plain,
% 49.06/32.15 (~v122(constB95)),
% 49.06/32.15 inference(unit_resolution,[status(thm)],[14479, 2921, 14398])).
% 49.06/32.15 tff(14481,plain,
% 49.06/32.15 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB95, bitIndex0) | (~v124(constB95)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB95, bitIndex0) | (~v124(constB95)))),
% 49.06/32.15 inference(rewrite,[status(thm)],[])).
% 49.06/32.15 tff(14482,plain,
% 49.06/32.15 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB95, bitIndex0) | (~v124(constB95)))),
% 49.06/32.15 inference(quant_inst,[status(thm)],[])).
% 49.06/32.15 tff(14483,plain,
% 49.06/32.15 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB95, bitIndex0) | (~v124(constB95))),
% 49.06/32.15 inference(modus_ponens,[status(thm)],[14482, 14481])).
% 49.06/32.15 tff(14484,plain,
% 49.06/32.15 (~v124(constB95)),
% 49.06/32.15 inference(unit_resolution,[status(thm)],[14483, 2932, 14398])).
% 49.06/32.15 tff(14485,plain,
% 49.06/32.15 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB95) | v123(constB95) | v122(constB95) | v121(constB95) | v120(constB95) | v119(constB95) | (~v130(constB95, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB95) | v123(constB95) | v122(constB95) | v121(constB95) | v120(constB95) | v119(constB95) | (~v130(constB95, bitIndex2)))),
% 49.06/32.15 inference(rewrite,[status(thm)],[])).
% 49.06/32.15 tff(14486,plain,
% 49.06/32.15 ((v120(constB95) | v119(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | (~v130(constB95, bitIndex2))) <=> (v124(constB95) | v123(constB95) | v122(constB95) | v121(constB95) | v120(constB95) | v119(constB95) | (~v130(constB95, bitIndex2)))),
% 49.06/32.15 inference(rewrite,[status(thm)],[])).
% 49.06/32.15 tff(14487,plain,
% 49.06/32.15 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB95) | v119(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | (~v130(constB95, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB95) | v123(constB95) | v122(constB95) | v121(constB95) | v120(constB95) | v119(constB95) | (~v130(constB95, bitIndex2))))),
% 49.06/32.15 inference(monotonicity,[status(thm)],[14486])).
% 49.06/32.15 tff(14488,plain,
% 49.06/32.15 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB95) | v119(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | (~v130(constB95, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB95) | v123(constB95) | v122(constB95) | v121(constB95) | v120(constB95) | v119(constB95) | (~v130(constB95, bitIndex2)))),
% 49.06/32.15 inference(transitivity,[status(thm)],[14487, 14485])).
% 49.06/32.15 tff(14489,plain,
% 49.06/32.15 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB95) | v119(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | (~v130(constB95, bitIndex2)))),
% 49.06/32.15 inference(quant_inst,[status(thm)],[])).
% 49.06/32.15 tff(14490,plain,
% 49.06/32.15 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB95) | v123(constB95) | v122(constB95) | v121(constB95) | v120(constB95) | v119(constB95) | (~v130(constB95, bitIndex2))),
% 49.06/32.15 inference(modus_ponens,[status(thm)],[14489, 14488])).
% 49.06/32.15 tff(14491,plain,
% 49.06/32.15 (v123(constB95) | v121(constB95) | v119(constB95) | (~v130(constB95, bitIndex2))),
% 49.06/32.15 inference(unit_resolution,[status(thm)],[14490, 1192, 14484, 14480, 14476])).
% 49.06/32.15 tff(14492,plain,
% 49.06/32.15 (~v130(constB95, bitIndex2)),
% 49.06/32.15 inference(unit_resolution,[status(thm)],[14491, 14472, 14468, 14464])).
% 49.06/32.15 tff(14493,plain,
% 49.06/32.15 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB95, bitIndex2)) | v26(constB95) | v130(constB95, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB95, bitIndex2)) | v26(constB95) | v130(constB95, bitIndex2))),
% 49.06/32.15 inference(rewrite,[status(thm)],[])).
% 49.06/32.15 tff(14494,plain,
% 49.06/32.15 ((v26(constB95) | v130(constB95, bitIndex2) | (~v127(constB95, bitIndex2))) <=> ((~v127(constB95, bitIndex2)) | v26(constB95) | v130(constB95, bitIndex2))),
% 49.06/32.15 inference(rewrite,[status(thm)],[])).
% 49.06/32.15 tff(14495,plain,
% 49.06/32.15 (((~![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)))) | ((~v127(constB95, bitIndex2)) | v26(constB95) | v130(constB95, bitIndex2)))),
% 49.06/32.15 inference(monotonicity,[status(thm)],[14494])).
% 49.06/32.15 tff(14496,plain,
% 49.06/32.15 (((~![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)))) | (~v127(constB95, bitIndex2)) | v26(constB95) | v130(constB95, bitIndex2))),
% 49.06/32.15 inference(transitivity,[status(thm)],[14495, 14493])).
% 49.06/32.15 tff(14497,plain,
% 49.06/32.15 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB95) | v130(constB95, bitIndex2) | (~v127(constB95, bitIndex2)))),
% 49.06/32.15 inference(quant_inst,[status(thm)],[])).
% 49.06/32.15 tff(14498,plain,
% 49.06/32.15 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB95, bitIndex2)) | v26(constB95) | v130(constB95, bitIndex2)),
% 49.06/32.15 inference(modus_ponens,[status(thm)],[14497, 14496])).
% 49.06/32.15 tff(14499,plain,
% 49.06/32.15 ((~v127(constB95, bitIndex2)) | v130(constB95, bitIndex2)),
% 49.06/32.15 inference(unit_resolution,[status(thm)],[14498, 1210, 14411])).
% 49.06/32.15 tff(14500,plain,
% 49.06/32.15 (~v127(constB95, bitIndex2)),
% 49.06/32.15 inference(unit_resolution,[status(thm)],[14499, 14492])).
% 49.06/32.15 tff(14501,plain,
% 49.06/32.15 (((~![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)))),
% 49.06/32.15 inference(rewrite,[status(thm)],[])).
% 49.06/32.15 tff(14502,plain,
% 49.06/32.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB95, constB96)) | v127(constB95, bitIndex2) | (~v129(constB96, bitIndex2)))),
% 49.06/32.15 inference(quant_inst,[status(thm)],[])).
% 49.06/32.15 tff(14503,plain,
% 49.06/32.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB95, constB96)) | v127(constB95, bitIndex2) | (~v129(constB96, bitIndex2))),
% 49.06/32.15 inference(modus_ponens,[status(thm)],[14502, 14501])).
% 49.06/32.15 tff(14504,plain,
% 49.06/32.15 (v127(constB95, bitIndex2) | (~v129(constB96, bitIndex2))),
% 49.06/32.15 inference(unit_resolution,[status(thm)],[14503, 1243, 14426])).
% 49.06/32.15 tff(14505,plain,
% 49.06/32.15 (~v129(constB96, bitIndex2)),
% 49.06/32.15 inference(unit_resolution,[status(thm)],[14504, 14500])).
% 49.06/32.15 tff(14506,plain,
% 49.06/32.16 (((~![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)))),
% 49.06/32.16 inference(rewrite,[status(thm)],[])).
% 49.06/32.16 tff(14507,plain,
% 49.06/32.16 (((~v90(constB96, bitIndex2)) | (~v100(constB96)) | v129(constB96, bitIndex2)) <=> ((~v90(constB96, bitIndex2)) | v129(constB96, bitIndex2) | (~v100(constB96)))),
% 49.06/32.16 inference(rewrite,[status(thm)],[])).
% 49.06/32.16 tff(14508,plain,
% 49.06/32.16 (((~![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))))),
% 49.06/32.16 inference(monotonicity,[status(thm)],[14507])).
% 49.06/32.16 tff(14509,plain,
% 49.06/32.16 (((~![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)))),
% 49.06/32.16 inference(transitivity,[status(thm)],[14508, 14506])).
% 49.06/32.16 tff(14510,plain,
% 49.06/32.16 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB96, bitIndex2)) | (~v100(constB96)) | v129(constB96, bitIndex2))),
% 49.06/32.16 inference(quant_inst,[status(thm)],[])).
% 49.06/32.16 tff(14511,plain,
% 49.06/32.16 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB96, bitIndex2)) | v129(constB96, bitIndex2) | (~v100(constB96))),
% 49.06/32.16 inference(modus_ponens,[status(thm)],[14510, 14509])).
% 49.06/32.16 tff(14512,plain,
% 49.06/32.16 ((~v90(constB96, bitIndex2)) | (~v100(constB96))),
% 49.06/32.16 inference(unit_resolution,[status(thm)],[14511, 1258, 14505])).
% 49.06/32.16 tff(14513,plain,
% 49.06/32.16 (~v90(constB96, bitIndex2)),
% 49.06/32.16 inference(unit_resolution,[status(thm)],[14512, 14460])).
% 49.06/32.16 tff(14514,plain,
% 49.06/32.16 ((~v1(constB97)) <=> (~v1(constB97))),
% 49.06/32.16 inference(rewrite,[status(thm)],[])).
% 49.06/32.16 tff(14515,axiom,(~v1(constB97)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_97_1_1')).
% 49.06/32.16 tff(14516,plain,
% 49.06/32.16 (~v1(constB97)),
% 49.06/32.16 inference(modus_ponens,[status(thm)],[14515, 14514])).
% 49.06/32.16 tff(14517,plain,
% 49.06/32.16 (nextState(constB96, constB97) <=> nextState(constB96, constB97)),
% 49.06/32.16 inference(rewrite,[status(thm)],[])).
% 49.06/32.16 tff(14518,axiom,(nextState(constB96, constB97)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_96_1')).
% 49.06/32.16 tff(14519,plain,
% 49.06/32.16 (nextState(constB96, constB97)),
% 49.06/32.16 inference(modus_ponens,[status(thm)],[14518, 14517])).
% 49.06/32.16 tff(14520,plain,
% 49.06/32.16 (((~![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)))),
% 49.06/32.16 inference(rewrite,[status(thm)],[])).
% 49.06/32.16 tff(14521,plain,
% 49.06/32.16 (((~nextState(constB96, constB97)) | (~v101(constB97)) | v1(constB97)) <=> (v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97)))),
% 49.06/32.16 inference(rewrite,[status(thm)],[])).
% 49.06/32.16 tff(14522,plain,
% 49.06/32.16 (((~![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))))),
% 49.06/32.16 inference(monotonicity,[status(thm)],[14521])).
% 49.06/32.16 tff(14523,plain,
% 49.06/32.16 (((~![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)))),
% 49.06/32.16 inference(transitivity,[status(thm)],[14522, 14520])).
% 49.06/32.16 tff(14524,plain,
% 49.06/32.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB96, constB97)) | (~v101(constB97)) | v1(constB97))),
% 49.06/32.16 inference(quant_inst,[status(thm)],[])).
% 49.06/32.16 tff(14525,plain,
% 49.06/32.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97))),
% 49.06/32.16 inference(modus_ponens,[status(thm)],[14524, 14523])).
% 49.06/32.16 tff(14526,plain,
% 49.06/32.16 (~v101(constB97)),
% 49.06/32.16 inference(unit_resolution,[status(thm)],[14525, 49, 14519, 14516])).
% 49.06/32.16 tff(14527,plain,
% 49.06/32.16 (((~![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)))),
% 49.06/32.16 inference(rewrite,[status(thm)],[])).
% 49.06/32.16 tff(14528,plain,
% 49.06/32.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB96, constB97)) | v101(constB97) | (~v100(constB97)))),
% 49.06/32.16 inference(quant_inst,[status(thm)],[])).
% 49.06/32.16 tff(14529,plain,
% 49.06/32.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB96, constB97)) | v101(constB97) | (~v100(constB97))),
% 49.06/32.16 inference(modus_ponens,[status(thm)],[14528, 14527])).
% 49.06/32.16 tff(14530,plain,
% 49.06/32.16 (v101(constB97) | (~v100(constB97))),
% 49.06/32.16 inference(unit_resolution,[status(thm)],[14529, 66, 14519])).
% 49.06/32.16 tff(14531,plain,
% 49.06/32.16 (~v100(constB97)),
% 49.06/32.16 inference(unit_resolution,[status(thm)],[14530, 14526])).
% 49.06/32.16 tff(14532,plain,
% 49.06/32.16 (((~![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)))),
% 49.06/32.16 inference(rewrite,[status(thm)],[])).
% 49.06/32.16 tff(14533,plain,
% 49.06/32.16 (((~nextState(constB96, constB97)) | v90(constB96, bitIndex2) | v100(constB97) | (~v90(constB97, bitIndex2))) <=> (v90(constB96, bitIndex2) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex2)))),
% 49.06/32.16 inference(rewrite,[status(thm)],[])).
% 49.06/32.16 tff(14534,plain,
% 49.06/32.16 (((~![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))))),
% 49.06/32.16 inference(monotonicity,[status(thm)],[14533])).
% 49.06/32.16 tff(14535,plain,
% 49.06/32.16 (((~![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)))),
% 49.06/32.16 inference(transitivity,[status(thm)],[14534, 14532])).
% 49.06/32.16 tff(14536,plain,
% 49.06/32.16 ((~![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)))),
% 49.06/32.16 inference(quant_inst,[status(thm)],[])).
% 49.06/32.16 tff(14537,plain,
% 49.06/32.16 ((~![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))),
% 49.06/32.16 inference(modus_ponens,[status(thm)],[14536, 14535])).
% 49.06/32.16 tff(14538,plain,
% 49.06/32.16 (v90(constB96, bitIndex2) | v100(constB97) | (~v90(constB97, bitIndex2))),
% 49.06/32.16 inference(unit_resolution,[status(thm)],[14537, 81, 14519])).
% 49.06/32.16 tff(14539,plain,
% 49.06/32.16 (v90(constB96, bitIndex2) | (~v90(constB97, bitIndex2))),
% 49.06/32.16 inference(unit_resolution,[status(thm)],[14538, 14531])).
% 49.06/32.16 tff(14540,plain,
% 49.06/32.16 (~v90(constB97, bitIndex2)),
% 49.06/32.16 inference(unit_resolution,[status(thm)],[14539, 14513])).
% 49.06/32.16 tff(14541,plain,
% 49.06/32.16 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB95, bitIndex1)) | v124(constB95) | v123(constB95) | v122(constB95) | v121(constB95) | v120(constB95) | v119(constB95))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB95, bitIndex1)) | v124(constB95) | v123(constB95) | v122(constB95) | v121(constB95) | v120(constB95) | v119(constB95))),
% 49.06/32.16 inference(rewrite,[status(thm)],[])).
% 49.06/32.16 tff(14542,plain,
% 49.06/32.16 ((v120(constB95) | v119(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | (~v130(constB95, bitIndex1))) <=> ((~v130(constB95, bitIndex1)) | v124(constB95) | v123(constB95) | v122(constB95) | v121(constB95) | v120(constB95) | v119(constB95))),
% 49.06/32.16 inference(rewrite,[status(thm)],[])).
% 49.06/32.16 tff(14543,plain,
% 49.06/32.16 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB95) | v119(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | (~v130(constB95, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB95, bitIndex1)) | v124(constB95) | v123(constB95) | v122(constB95) | v121(constB95) | v120(constB95) | v119(constB95)))),
% 49.06/32.16 inference(monotonicity,[status(thm)],[14542])).
% 49.06/32.16 tff(14544,plain,
% 49.06/32.16 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB95) | v119(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | (~v130(constB95, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB95, bitIndex1)) | v124(constB95) | v123(constB95) | v122(constB95) | v121(constB95) | v120(constB95) | v119(constB95))),
% 49.06/32.16 inference(transitivity,[status(thm)],[14543, 14541])).
% 49.06/32.16 tff(14545,plain,
% 49.06/32.16 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB95) | v119(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | (~v130(constB95, bitIndex1)))),
% 49.06/32.16 inference(quant_inst,[status(thm)],[])).
% 49.06/32.16 tff(14546,plain,
% 49.06/32.16 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB95, bitIndex1)) | v124(constB95) | v123(constB95) | v122(constB95) | v121(constB95) | v120(constB95) | v119(constB95)),
% 49.06/32.16 inference(modus_ponens,[status(thm)],[14545, 14544])).
% 49.06/32.16 tff(14547,plain,
% 49.06/32.16 ((~v130(constB95, bitIndex1)) | v123(constB95) | v121(constB95) | v119(constB95)),
% 49.06/32.16 inference(unit_resolution,[status(thm)],[14546, 1143, 14484, 14480, 14476])).
% 49.06/32.16 tff(14548,plain,
% 49.06/32.16 (~v130(constB95, bitIndex1)),
% 49.06/32.16 inference(unit_resolution,[status(thm)],[14547, 14472, 14468, 14464])).
% 49.06/32.16 tff(14549,plain,
% 49.06/32.16 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB95, bitIndex1)) | v26(constB95) | v130(constB95, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB95, bitIndex1)) | v26(constB95) | v130(constB95, bitIndex1))),
% 49.06/32.16 inference(rewrite,[status(thm)],[])).
% 49.06/32.16 tff(14550,plain,
% 49.06/32.16 ((v26(constB95) | v130(constB95, bitIndex1) | (~v127(constB95, bitIndex1))) <=> ((~v127(constB95, bitIndex1)) | v26(constB95) | v130(constB95, bitIndex1))),
% 49.06/32.16 inference(rewrite,[status(thm)],[])).
% 49.06/32.16 tff(14551,plain,
% 49.06/32.16 (((~![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)))) | ((~v127(constB95, bitIndex1)) | v26(constB95) | v130(constB95, bitIndex1)))),
% 49.06/32.16 inference(monotonicity,[status(thm)],[14550])).
% 49.06/32.16 tff(14552,plain,
% 49.06/32.16 (((~![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)))) | (~v127(constB95, bitIndex1)) | v26(constB95) | v130(constB95, bitIndex1))),
% 49.06/32.16 inference(transitivity,[status(thm)],[14551, 14549])).
% 49.06/32.16 tff(14553,plain,
% 49.06/32.16 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB95) | v130(constB95, bitIndex1) | (~v127(constB95, bitIndex1)))),
% 49.06/32.16 inference(quant_inst,[status(thm)],[])).
% 49.06/32.16 tff(14554,plain,
% 49.06/32.16 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB95, bitIndex1)) | v26(constB95) | v130(constB95, bitIndex1)),
% 49.06/32.16 inference(modus_ponens,[status(thm)],[14553, 14552])).
% 49.06/32.16 tff(14555,plain,
% 49.06/32.16 ((~v127(constB95, bitIndex1)) | v130(constB95, bitIndex1)),
% 49.06/32.16 inference(unit_resolution,[status(thm)],[14554, 450, 14411])).
% 49.06/32.16 tff(14556,plain,
% 49.06/32.16 (~v127(constB95, bitIndex1)),
% 49.06/32.16 inference(unit_resolution,[status(thm)],[14555, 14548])).
% 49.06/32.16 tff(14557,plain,
% 49.06/32.16 (((~![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)))),
% 49.06/32.16 inference(rewrite,[status(thm)],[])).
% 49.06/32.16 tff(14558,plain,
% 49.06/32.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB95, constB96)) | v127(constB95, bitIndex1) | (~v129(constB96, bitIndex1)))),
% 49.06/32.16 inference(quant_inst,[status(thm)],[])).
% 49.06/32.16 tff(14559,plain,
% 49.06/32.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB95, constB96)) | v127(constB95, bitIndex1) | (~v129(constB96, bitIndex1))),
% 49.06/32.16 inference(modus_ponens,[status(thm)],[14558, 14557])).
% 49.06/32.16 tff(14560,plain,
% 49.06/32.16 (v127(constB95, bitIndex1) | (~v129(constB96, bitIndex1))),
% 49.06/32.16 inference(unit_resolution,[status(thm)],[14559, 468, 14426])).
% 49.06/32.16 tff(14561,plain,
% 49.06/32.16 (~v129(constB96, bitIndex1)),
% 49.06/32.16 inference(unit_resolution,[status(thm)],[14560, 14556])).
% 49.06/32.16 tff(14562,plain,
% 49.06/32.16 (((~![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)))),
% 49.06/32.16 inference(rewrite,[status(thm)],[])).
% 49.06/32.16 tff(14563,plain,
% 49.06/32.16 (((~v90(constB96, bitIndex1)) | (~v100(constB96)) | v129(constB96, bitIndex1)) <=> ((~v90(constB96, bitIndex1)) | v129(constB96, bitIndex1) | (~v100(constB96)))),
% 49.06/32.16 inference(rewrite,[status(thm)],[])).
% 49.06/32.16 tff(14564,plain,
% 49.06/32.16 (((~![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))))),
% 49.06/32.16 inference(monotonicity,[status(thm)],[14563])).
% 49.06/32.16 tff(14565,plain,
% 49.06/32.16 (((~![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)))),
% 49.06/32.16 inference(transitivity,[status(thm)],[14564, 14562])).
% 49.06/32.16 tff(14566,plain,
% 49.06/32.16 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB96, bitIndex1)) | (~v100(constB96)) | v129(constB96, bitIndex1))),
% 49.06/32.16 inference(quant_inst,[status(thm)],[])).
% 49.06/32.16 tff(14567,plain,
% 49.06/32.16 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB96, bitIndex1)) | v129(constB96, bitIndex1) | (~v100(constB96))),
% 49.06/32.16 inference(modus_ponens,[status(thm)],[14566, 14565])).
% 49.06/32.16 tff(14568,plain,
% 49.06/32.16 ((~v90(constB96, bitIndex1)) | (~v100(constB96))),
% 49.06/32.16 inference(unit_resolution,[status(thm)],[14567, 483, 14561])).
% 49.06/32.16 tff(14569,plain,
% 49.06/32.16 (~v90(constB96, bitIndex1)),
% 49.06/32.16 inference(unit_resolution,[status(thm)],[14568, 14460])).
% 49.06/32.16 tff(14570,plain,
% 49.06/32.16 (((~![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)))),
% 49.06/32.16 inference(rewrite,[status(thm)],[])).
% 49.06/32.16 tff(14571,plain,
% 49.06/32.16 (((~nextState(constB96, constB97)) | v90(constB96, bitIndex1) | v100(constB97) | (~v90(constB97, bitIndex1))) <=> (v90(constB96, bitIndex1) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, bitIndex1)))),
% 49.06/32.16 inference(rewrite,[status(thm)],[])).
% 49.06/32.16 tff(14572,plain,
% 49.06/32.16 (((~![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))))),
% 49.06/32.16 inference(monotonicity,[status(thm)],[14571])).
% 49.06/32.16 tff(14573,plain,
% 49.06/32.16 (((~![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)))),
% 49.06/32.16 inference(transitivity,[status(thm)],[14572, 14570])).
% 49.06/32.16 tff(14574,plain,
% 49.06/32.16 ((~![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)))),
% 49.06/32.16 inference(quant_inst,[status(thm)],[])).
% 49.06/32.16 tff(14575,plain,
% 49.06/32.16 ((~![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))),
% 49.06/32.16 inference(modus_ponens,[status(thm)],[14574, 14573])).
% 49.06/32.16 tff(14576,plain,
% 49.06/32.16 (v90(constB96, bitIndex1) | v100(constB97) | (~v90(constB97, bitIndex1))),
% 49.06/32.16 inference(unit_resolution,[status(thm)],[14575, 102, 14519])).
% 49.06/32.16 tff(14577,plain,
% 49.06/32.16 (v90(constB96, bitIndex1) | (~v90(constB97, bitIndex1))),
% 49.06/32.16 inference(unit_resolution,[status(thm)],[14576, 14531])).
% 49.06/32.16 tff(14578,plain,
% 49.06/32.16 (~v90(constB97, bitIndex1)),
% 49.06/32.16 inference(unit_resolution,[status(thm)],[14577, 14569])).
% 49.06/32.16 tff(14579,plain,
% 49.06/32.16 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB95) | v123(constB95) | v122(constB95) | v121(constB95) | v120(constB95) | v119(constB95) | v130(constB95, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB95) | v123(constB95) | v122(constB95) | v121(constB95) | v120(constB95) | v119(constB95) | v130(constB95, bitIndex0))),
% 49.06/32.16 inference(rewrite,[status(thm)],[])).
% 49.06/32.16 tff(14580,plain,
% 49.06/32.16 ((v120(constB95) | v119(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | v130(constB95, bitIndex0)) <=> (v124(constB95) | v123(constB95) | v122(constB95) | v121(constB95) | v120(constB95) | v119(constB95) | v130(constB95, bitIndex0))),
% 49.06/32.16 inference(rewrite,[status(thm)],[])).
% 49.06/32.16 tff(14581,plain,
% 49.06/32.16 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB95) | v119(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | v130(constB95, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB95) | v123(constB95) | v122(constB95) | v121(constB95) | v120(constB95) | v119(constB95) | v130(constB95, bitIndex0)))),
% 49.06/32.16 inference(monotonicity,[status(thm)],[14580])).
% 49.06/32.16 tff(14582,plain,
% 49.06/32.16 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB95) | v119(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | v130(constB95, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB95) | v123(constB95) | v122(constB95) | v121(constB95) | v120(constB95) | v119(constB95) | v130(constB95, bitIndex0))),
% 49.06/32.16 inference(transitivity,[status(thm)],[14581, 14579])).
% 49.06/32.16 tff(14583,plain,
% 49.06/32.16 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB95) | v119(constB95) | v121(constB95) | v122(constB95) | v123(constB95) | v124(constB95) | v130(constB95, bitIndex0))),
% 49.06/32.16 inference(quant_inst,[status(thm)],[])).
% 49.06/32.16 tff(14584,plain,
% 49.06/32.16 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB95) | v123(constB95) | v122(constB95) | v121(constB95) | v120(constB95) | v119(constB95) | v130(constB95, bitIndex0)),
% 49.06/32.16 inference(modus_ponens,[status(thm)],[14583, 14582])).
% 49.06/32.16 tff(14585,plain,
% 49.06/32.16 (v123(constB95) | v121(constB95) | v119(constB95) | v130(constB95, bitIndex0)),
% 49.06/32.16 inference(unit_resolution,[status(thm)],[14584, 908, 14484, 14480, 14476])).
% 49.06/32.16 tff(14586,plain,
% 49.06/32.16 (v130(constB95, bitIndex0)),
% 49.06/32.16 inference(unit_resolution,[status(thm)],[14585, 14472, 14468, 14464])).
% 49.06/32.16 tff(14587,plain,
% 49.06/32.16 (((~![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))) | v26(constB95) | (~v130(constB95, bitIndex0)) | v127(constB95, bitIndex0))),
% 49.06/32.16 inference(rewrite,[status(thm)],[])).
% 49.06/32.16 tff(14588,plain,
% 49.06/32.16 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB95) | (~v130(constB95, bitIndex0)) | v127(constB95, bitIndex0))),
% 49.06/32.16 inference(quant_inst,[status(thm)],[])).
% 49.06/32.16 tff(14589,plain,
% 49.06/32.16 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB95) | (~v130(constB95, bitIndex0)) | v127(constB95, bitIndex0)),
% 49.06/32.16 inference(modus_ponens,[status(thm)],[14588, 14587])).
% 49.06/32.16 tff(14590,plain,
% 49.06/32.16 ((~v130(constB95, bitIndex0)) | v127(constB95, bitIndex0)),
% 49.06/32.16 inference(unit_resolution,[status(thm)],[14589, 926, 14411])).
% 49.06/32.16 tff(14591,plain,
% 49.06/32.16 (v127(constB95, bitIndex0)),
% 49.06/32.16 inference(unit_resolution,[status(thm)],[14590, 14586])).
% 49.06/32.16 tff(14592,plain,
% 49.06/32.16 (((~![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))),
% 49.06/32.16 inference(rewrite,[status(thm)],[])).
% 49.06/32.16 tff(14593,plain,
% 49.06/32.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB95, constB96)) | (~v127(constB95, bitIndex0)) | v129(constB96, bitIndex0))),
% 49.06/32.16 inference(quant_inst,[status(thm)],[])).
% 49.06/32.16 tff(14594,plain,
% 49.06/32.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB95, constB96)) | (~v127(constB95, bitIndex0)) | v129(constB96, bitIndex0)),
% 49.06/32.16 inference(modus_ponens,[status(thm)],[14593, 14592])).
% 49.06/32.16 tff(14595,plain,
% 49.06/32.16 ((~v127(constB95, bitIndex0)) | v129(constB96, bitIndex0)),
% 49.06/32.16 inference(unit_resolution,[status(thm)],[14594, 944, 14426])).
% 49.06/32.16 tff(14596,plain,
% 49.06/32.16 (v129(constB96, bitIndex0)),
% 49.06/32.16 inference(unit_resolution,[status(thm)],[14595, 14591])).
% 49.06/32.16 tff(14597,plain,
% 49.06/32.16 (((~![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)))),
% 49.06/32.16 inference(rewrite,[status(thm)],[])).
% 49.06/32.16 tff(14598,plain,
% 49.06/32.16 ((v90(constB96, bitIndex0) | (~v100(constB96)) | (~v129(constB96, bitIndex0))) <=> (v90(constB96, bitIndex0) | (~v129(constB96, bitIndex0)) | (~v100(constB96)))),
% 49.06/32.16 inference(rewrite,[status(thm)],[])).
% 49.06/32.16 tff(14599,plain,
% 49.06/32.16 (((~![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))))),
% 49.06/32.16 inference(monotonicity,[status(thm)],[14598])).
% 49.06/32.16 tff(14600,plain,
% 49.06/32.16 (((~![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)))),
% 49.06/32.16 inference(transitivity,[status(thm)],[14599, 14597])).
% 49.06/32.16 tff(14601,plain,
% 49.06/32.16 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB96, bitIndex0) | (~v100(constB96)) | (~v129(constB96, bitIndex0)))),
% 49.06/32.16 inference(quant_inst,[status(thm)],[])).
% 49.06/32.16 tff(14602,plain,
% 49.06/32.16 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB96, bitIndex0) | (~v129(constB96, bitIndex0)) | (~v100(constB96))),
% 49.06/32.16 inference(modus_ponens,[status(thm)],[14601, 14600])).
% 49.06/32.16 tff(14603,plain,
% 49.06/32.16 (v90(constB96, bitIndex0) | (~v100(constB96))),
% 49.06/32.16 inference(unit_resolution,[status(thm)],[14602, 1088, 14596])).
% 49.06/32.16 tff(14604,plain,
% 49.06/32.16 (v90(constB96, bitIndex0)),
% 49.06/32.16 inference(unit_resolution,[status(thm)],[14603, 14460])).
% 49.06/32.16 tff(14605,plain,
% 49.06/32.16 (((~![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))),
% 49.06/32.16 inference(rewrite,[status(thm)],[])).
% 49.06/32.16 tff(14606,plain,
% 49.06/32.16 (((~nextState(constB96, constB97)) | (~v90(constB96, bitIndex0)) | v100(constB97) | v90(constB97, bitIndex0)) <=> ((~v90(constB96, bitIndex0)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, bitIndex0))),
% 49.06/32.16 inference(rewrite,[status(thm)],[])).
% 49.06/32.16 tff(14607,plain,
% 49.06/32.16 (((~![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)))),
% 49.06/32.16 inference(monotonicity,[status(thm)],[14606])).
% 49.06/32.16 tff(14608,plain,
% 49.06/32.16 (((~![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))),
% 49.06/32.16 inference(transitivity,[status(thm)],[14607, 14605])).
% 49.06/32.16 tff(14609,plain,
% 49.06/32.16 ((~![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))),
% 49.06/32.16 inference(quant_inst,[status(thm)],[])).
% 49.06/32.16 tff(14610,plain,
% 49.06/32.16 ((~![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)),
% 49.06/32.16 inference(modus_ponens,[status(thm)],[14609, 14608])).
% 49.06/32.16 tff(14611,plain,
% 49.06/32.16 ((~v90(constB96, bitIndex0)) | v100(constB97) | v90(constB97, bitIndex0)),
% 49.06/32.16 inference(unit_resolution,[status(thm)],[14610, 1124, 14519])).
% 49.06/32.16 tff(14612,plain,
% 49.06/32.16 ((~v90(constB96, bitIndex0)) | v90(constB97, bitIndex0)),
% 49.06/32.16 inference(unit_resolution,[status(thm)],[14611, 14531])).
% 49.06/32.16 tff(14613,plain,
% 49.06/32.16 (v90(constB97, bitIndex0)),
% 49.06/32.16 inference(unit_resolution,[status(thm)],[14612, 14604])).
% 49.06/32.16 tff(14614,plain,
% 49.06/32.16 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB97, bitIndex0)) | v90(constB97, bitIndex1) | v90(constB97, bitIndex2) | v120(constB97))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB97, bitIndex0)) | v90(constB97, bitIndex1) | v90(constB97, bitIndex2) | v120(constB97))),
% 49.06/32.17 inference(rewrite,[status(thm)],[])).
% 49.06/32.17 tff(14615,plain,
% 49.06/32.17 (((~v90(constB97, bitIndex0)) | v120(constB97) | v90(constB97, bitIndex1) | v90(constB97, bitIndex2)) <=> ((~v90(constB97, bitIndex0)) | v90(constB97, bitIndex1) | v90(constB97, bitIndex2) | v120(constB97))),
% 49.06/32.17 inference(rewrite,[status(thm)],[])).
% 49.06/32.17 tff(14616,plain,
% 49.06/32.17 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB97, bitIndex0)) | v120(constB97) | v90(constB97, bitIndex1) | v90(constB97, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB97, bitIndex0)) | v90(constB97, bitIndex1) | v90(constB97, bitIndex2) | v120(constB97)))),
% 49.06/32.17 inference(monotonicity,[status(thm)],[14615])).
% 49.06/32.17 tff(14617,plain,
% 49.06/32.17 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB97, bitIndex0)) | v120(constB97) | v90(constB97, bitIndex1) | v90(constB97, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB97, bitIndex0)) | v90(constB97, bitIndex1) | v90(constB97, bitIndex2) | v120(constB97))),
% 49.06/32.17 inference(transitivity,[status(thm)],[14616, 14614])).
% 49.06/32.17 tff(14618,plain,
% 49.06/32.17 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB97, bitIndex0)) | v120(constB97) | v90(constB97, bitIndex1) | v90(constB97, bitIndex2))),
% 49.06/32.17 inference(quant_inst,[status(thm)],[])).
% 49.06/32.17 tff(14619,plain,
% 49.06/32.17 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB97, bitIndex0)) | v90(constB97, bitIndex1) | v90(constB97, bitIndex2) | v120(constB97)),
% 49.06/32.17 inference(modus_ponens,[status(thm)],[14618, 14617])).
% 49.06/32.17 tff(14620,plain,
% 49.06/32.17 (v120(constB97)),
% 49.06/32.17 inference(unit_resolution,[status(thm)],[14619, 1285, 14613, 14578, 14540])).
% 49.06/32.17 tff(14621,plain,
% 49.06/32.17 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB97) | (~v120(constB97)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB97) | (~v120(constB97)))),
% 49.06/32.17 inference(rewrite,[status(thm)],[])).
% 49.06/32.17 tff(14622,plain,
% 49.06/32.17 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB97) | (~v120(constB97)))),
% 49.06/32.17 inference(quant_inst,[status(thm)],[])).
% 49.06/32.17 tff(14623,plain,
% 49.06/32.17 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB97) | (~v120(constB97))),
% 49.06/32.17 inference(modus_ponens,[status(thm)],[14622, 14621])).
% 49.06/32.17 tff(14624,plain,
% 49.06/32.17 (v118(constB97)),
% 49.06/32.17 inference(unit_resolution,[status(thm)],[14623, 1302, 14620])).
% 49.06/32.17 tff(14625,plain,
% 49.06/32.17 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB97) | (~v118(constB97)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB97) | (~v118(constB97)))),
% 49.06/32.17 inference(rewrite,[status(thm)],[])).
% 49.06/32.17 tff(14626,plain,
% 49.06/32.17 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB97) | (~v118(constB97)))),
% 49.06/32.17 inference(quant_inst,[status(thm)],[])).
% 49.06/32.17 tff(14627,plain,
% 49.06/32.17 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB97) | (~v118(constB97))),
% 49.06/32.17 inference(modus_ponens,[status(thm)],[14626, 14625])).
% 49.06/32.17 tff(14628,plain,
% 49.06/32.17 (v117(constB97)),
% 49.06/32.17 inference(unit_resolution,[status(thm)],[14627, 166, 14624])).
% 49.06/32.17 tff(14629,plain,
% 49.06/32.17 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB97) | (~v117(constB97)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB97) | (~v117(constB97)))),
% 49.06/32.17 inference(rewrite,[status(thm)],[])).
% 49.06/32.17 tff(14630,plain,
% 49.06/32.17 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB97) | (~v117(constB97)))),
% 49.06/32.17 inference(quant_inst,[status(thm)],[])).
% 49.06/32.17 tff(14631,plain,
% 49.06/32.17 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB97) | (~v117(constB97))),
% 49.06/32.17 inference(modus_ponens,[status(thm)],[14630, 14629])).
% 49.06/32.17 tff(14632,plain,
% 49.06/32.17 (v116(constB97)),
% 49.06/32.17 inference(unit_resolution,[status(thm)],[14631, 177, 14628])).
% 49.06/32.17 tff(14633,plain,
% 49.06/32.17 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB97) | (~v116(constB97)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB97) | (~v116(constB97)))),
% 49.06/32.17 inference(rewrite,[status(thm)],[])).
% 49.06/32.17 tff(14634,plain,
% 49.06/32.17 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB97) | (~v116(constB97)))),
% 49.06/32.17 inference(quant_inst,[status(thm)],[])).
% 49.06/32.17 tff(14635,plain,
% 49.06/32.17 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB97) | (~v116(constB97))),
% 49.06/32.17 inference(modus_ponens,[status(thm)],[14634, 14633])).
% 49.06/32.17 tff(14636,plain,
% 49.06/32.17 (v115(constB97)),
% 49.06/32.17 inference(unit_resolution,[status(thm)],[14635, 188, 14632])).
% 49.06/32.17 tff(14637,plain,
% 49.06/32.17 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB97) | (~v115(constB97)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB97) | (~v115(constB97)))),
% 49.06/32.17 inference(rewrite,[status(thm)],[])).
% 49.06/32.17 tff(14638,plain,
% 49.06/32.17 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB97) | (~v115(constB97)))),
% 49.06/32.17 inference(quant_inst,[status(thm)],[])).
% 49.06/32.17 tff(14639,plain,
% 49.06/32.17 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB97) | (~v115(constB97))),
% 49.06/32.17 inference(modus_ponens,[status(thm)],[14638, 14637])).
% 49.06/32.17 tff(14640,plain,
% 49.06/32.17 (v114(constB97)),
% 49.06/32.17 inference(unit_resolution,[status(thm)],[14639, 199, 14636])).
% 49.06/32.17 tff(14641,plain,
% 49.06/32.17 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB97) | (~v114(constB97)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB97) | (~v114(constB97)))),
% 49.06/32.17 inference(rewrite,[status(thm)],[])).
% 49.06/32.17 tff(14642,plain,
% 49.06/32.17 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB97) | (~v114(constB97)))),
% 49.06/32.17 inference(quant_inst,[status(thm)],[])).
% 49.06/32.17 tff(14643,plain,
% 49.06/32.17 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB97) | (~v114(constB97))),
% 49.06/32.17 inference(modus_ponens,[status(thm)],[14642, 14641])).
% 49.06/32.17 tff(14644,plain,
% 49.06/32.17 (v113(constB97)),
% 49.06/32.17 inference(unit_resolution,[status(thm)],[14643, 210, 14640])).
% 49.06/32.17 tff(14645,assumption,(v26(constB97)), introduced(assumption)).
% 49.06/32.17 tff(14646,plain,
% 49.06/32.17 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB97))),
% 49.06/32.17 inference(quant_inst,[status(thm)],[])).
% 49.06/32.17 tff(14647,plain,
% 49.06/32.17 ($false),
% 49.06/32.17 inference(unit_resolution,[status(thm)],[14646, 16, 14645])).
% 49.06/32.17 tff(14648,plain,(~v26(constB97)), inference(lemma,lemma(discharge,[]))).
% 49.06/32.17 tff(14649,plain,
% 49.06/32.17 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB97) | v112(constB97) | (~v113(constB97)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB97) | v112(constB97) | (~v113(constB97)))),
% 49.06/32.17 inference(rewrite,[status(thm)],[])).
% 49.06/32.17 tff(14650,plain,
% 49.06/32.17 ((v26(constB97) | (~v113(constB97)) | v112(constB97)) <=> (v26(constB97) | v112(constB97) | (~v113(constB97)))),
% 49.06/32.17 inference(rewrite,[status(thm)],[])).
% 49.06/32.17 tff(14651,plain,
% 49.06/32.17 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB97) | (~v113(constB97)) | v112(constB97))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB97) | v112(constB97) | (~v113(constB97))))),
% 49.06/32.17 inference(monotonicity,[status(thm)],[14650])).
% 49.06/32.17 tff(14652,plain,
% 49.06/32.17 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB97) | (~v113(constB97)) | v112(constB97))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB97) | v112(constB97) | (~v113(constB97)))),
% 49.06/32.17 inference(transitivity,[status(thm)],[14651, 14649])).
% 49.06/32.17 tff(14653,plain,
% 49.06/32.17 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB97) | (~v113(constB97)) | v112(constB97))),
% 49.06/32.17 inference(quant_inst,[status(thm)],[])).
% 49.06/32.17 tff(14654,plain,
% 49.06/32.17 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB97) | v112(constB97) | (~v113(constB97))),
% 49.06/32.17 inference(modus_ponens,[status(thm)],[14653, 14652])).
% 49.06/32.17 tff(14655,plain,
% 49.06/32.17 (v112(constB97) | (~v113(constB97))),
% 49.06/32.17 inference(unit_resolution,[status(thm)],[14654, 224, 14648])).
% 49.06/32.17 tff(14656,plain,
% 49.06/32.17 (v112(constB97)),
% 49.06/32.17 inference(unit_resolution,[status(thm)],[14655, 14644])).
% 49.06/32.17 tff(14657,plain,
% 49.06/32.17 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB97) | (~v112(constB97)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB97) | (~v112(constB97)))),
% 49.06/32.17 inference(rewrite,[status(thm)],[])).
% 49.06/32.17 tff(14658,plain,
% 49.06/32.17 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB97) | (~v112(constB97)))),
% 49.06/32.17 inference(quant_inst,[status(thm)],[])).
% 49.06/32.17 tff(14659,plain,
% 49.06/32.17 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB97) | (~v112(constB97))),
% 49.06/32.17 inference(modus_ponens,[status(thm)],[14658, 14657])).
% 49.06/32.17 tff(14660,plain,
% 49.06/32.17 (v108(constB97)),
% 49.06/32.17 inference(unit_resolution,[status(thm)],[14659, 236, 14656])).
% 49.06/32.17 tff(14661,plain,
% 49.06/32.17 (nextState(constB97, constB98) <=> nextState(constB97, constB98)),
% 49.06/32.17 inference(rewrite,[status(thm)],[])).
% 49.06/32.17 tff(14662,axiom,(nextState(constB97, constB98)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_97_1')).
% 49.06/32.17 tff(14663,plain,
% 49.06/32.17 (nextState(constB97, constB98)),
% 49.06/32.17 inference(modus_ponens,[status(thm)],[14662, 14661])).
% 49.06/32.17 tff(14664,plain,
% 49.06/32.17 (((~![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)))),
% 49.06/32.17 inference(rewrite,[status(thm)],[])).
% 49.06/32.17 tff(14665,plain,
% 49.06/32.17 (((~nextState(constB97, constB98)) | (~v108(constB97)) | v110(constB98)) <=> ((~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97)))),
% 49.06/32.17 inference(rewrite,[status(thm)],[])).
% 49.06/32.17 tff(14666,plain,
% 49.06/32.17 (((~![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))))),
% 49.06/32.17 inference(monotonicity,[status(thm)],[14665])).
% 49.06/32.17 tff(14667,plain,
% 49.06/32.17 (((~![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)))),
% 49.06/32.17 inference(transitivity,[status(thm)],[14666, 14664])).
% 49.06/32.17 tff(14668,plain,
% 49.06/32.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB97, constB98)) | (~v108(constB97)) | v110(constB98))),
% 49.06/32.17 inference(quant_inst,[status(thm)],[])).
% 49.06/32.17 tff(14669,plain,
% 49.06/32.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97))),
% 49.06/32.17 inference(modus_ponens,[status(thm)],[14668, 14667])).
% 49.06/32.17 tff(14670,plain,
% 49.06/32.17 (v110(constB98) | (~v108(constB97))),
% 49.06/32.17 inference(unit_resolution,[status(thm)],[14669, 253, 14663])).
% 49.06/32.17 tff(14671,plain,
% 49.06/32.17 (v110(constB98)),
% 49.06/32.17 inference(unit_resolution,[status(thm)],[14670, 14660])).
% 49.06/32.17 tff(14672,plain,
% 49.06/32.17 (((~![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)))),
% 49.06/32.17 inference(rewrite,[status(thm)],[])).
% 49.06/32.17 tff(14673,plain,
% 49.06/32.17 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB97) | (~nextState(constB97, constB98)) | (~v104(constB98)))),
% 49.06/32.17 inference(quant_inst,[status(thm)],[])).
% 49.06/32.17 tff(14674,plain,
% 49.06/32.17 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB97) | (~nextState(constB97, constB98)) | (~v104(constB98))),
% 49.06/32.17 inference(modus_ponens,[status(thm)],[14673, 14672])).
% 49.06/32.17 tff(14675,plain,
% 49.06/32.17 (~v104(constB98)),
% 49.06/32.17 inference(unit_resolution,[status(thm)],[14674, 271, 14663, 14516])).
% 49.06/32.17 tff(14676,plain,
% 49.06/32.17 (((~![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))),
% 49.06/32.17 inference(rewrite,[status(thm)],[])).
% 49.06/32.17 tff(14677,plain,
% 49.06/32.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB97, constB98)) | v102(constB98) | v104(constB98))),
% 49.06/32.17 inference(quant_inst,[status(thm)],[])).
% 49.06/32.17 tff(14678,plain,
% 49.06/32.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB97, constB98)) | v102(constB98) | v104(constB98)),
% 49.06/32.17 inference(modus_ponens,[status(thm)],[14677, 14676])).
% 49.06/32.17 tff(14679,plain,
% 49.06/32.17 (v102(constB98) | v104(constB98)),
% 49.06/32.17 inference(unit_resolution,[status(thm)],[14678, 285, 14663])).
% 49.06/32.17 tff(14680,plain,
% 49.06/32.17 (v102(constB98)),
% 49.06/32.17 inference(unit_resolution,[status(thm)],[14679, 14675])).
% 49.06/32.17 tff(14681,plain,
% 49.06/32.17 (v1(constB98) <=> v1(constB98)),
% 49.06/32.17 inference(rewrite,[status(thm)],[])).
% 49.06/32.17 tff(14682,axiom,(v1(constB98)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_98_1')).
% 49.06/32.17 tff(14683,plain,
% 49.06/32.17 (v1(constB98)),
% 49.06/32.17 inference(modus_ponens,[status(thm)],[14682, 14681])).
% 49.06/32.17 tff(14684,plain,
% 49.06/32.17 (((~![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)))),
% 49.06/32.17 inference(rewrite,[status(thm)],[])).
% 49.06/32.17 tff(14685,plain,
% 49.06/32.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB97, constB98)) | v101(constB98) | (~v102(constB98)) | (~v1(constB98)))),
% 49.06/32.17 inference(quant_inst,[status(thm)],[])).
% 49.06/32.17 tff(14686,plain,
% 49.06/32.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB97, constB98)) | v101(constB98) | (~v102(constB98)) | (~v1(constB98))),
% 49.06/32.17 inference(modus_ponens,[status(thm)],[14685, 14684])).
% 49.06/32.17 tff(14687,plain,
% 49.06/32.17 (v101(constB98) | (~v102(constB98))),
% 49.06/32.17 inference(unit_resolution,[status(thm)],[14686, 303, 14663, 14683])).
% 49.06/32.17 tff(14688,plain,
% 49.06/32.17 (v101(constB98)),
% 49.06/32.17 inference(unit_resolution,[status(thm)],[14687, 14680])).
% 49.06/32.17 tff(14689,plain,
% 49.06/32.17 (((~![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)))),
% 49.06/32.17 inference(rewrite,[status(thm)],[])).
% 49.06/32.17 tff(14690,plain,
% 49.06/32.17 (((~nextState(constB97, constB98)) | (~v101(constB98)) | (~v110(constB98)) | v100(constB98)) <=> ((~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98)))),
% 49.06/32.17 inference(rewrite,[status(thm)],[])).
% 49.06/32.17 tff(14691,plain,
% 49.06/32.17 (((~![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))))),
% 49.06/32.17 inference(monotonicity,[status(thm)],[14690])).
% 49.06/32.17 tff(14692,plain,
% 49.06/32.17 (((~![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)))),
% 49.06/32.17 inference(transitivity,[status(thm)],[14691, 14689])).
% 49.06/32.17 tff(14693,plain,
% 49.06/32.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB97, constB98)) | (~v101(constB98)) | (~v110(constB98)) | v100(constB98))),
% 49.06/32.17 inference(quant_inst,[status(thm)],[])).
% 49.06/32.17 tff(14694,plain,
% 49.06/32.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98))),
% 49.06/32.17 inference(modus_ponens,[status(thm)],[14693, 14692])).
% 49.06/32.17 tff(14695,plain,
% 49.06/32.17 (v100(constB98) | (~v101(constB98)) | (~v110(constB98))),
% 49.06/32.17 inference(unit_resolution,[status(thm)],[14694, 318, 14663])).
% 49.06/32.17 tff(14696,plain,
% 49.06/32.17 (v100(constB98) | (~v110(constB98))),
% 49.06/32.17 inference(unit_resolution,[status(thm)],[14695, 14688])).
% 49.06/32.17 tff(14697,plain,
% 49.06/32.17 (v100(constB98)),
% 49.06/32.17 inference(unit_resolution,[status(thm)],[14696, 14671])).
% 49.06/32.17 tff(14698,plain,
% 49.06/32.17 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB97)) | (~v130(constB97, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB97)) | (~v130(constB97, bitIndex2)))),
% 49.06/32.17 inference(rewrite,[status(thm)],[])).
% 49.06/32.17 tff(14699,plain,
% 49.06/32.17 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB97)) | (~v130(constB97, bitIndex2)))),
% 49.06/32.17 inference(quant_inst,[status(thm)],[])).
% 49.06/32.17 tff(14700,plain,
% 49.06/32.17 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB97)) | (~v130(constB97, bitIndex2))),
% 49.06/32.17 inference(modus_ponens,[status(thm)],[14699, 14698])).
% 49.06/32.17 tff(14701,plain,
% 49.06/32.17 (~v130(constB97, bitIndex2)),
% 49.06/32.17 inference(unit_resolution,[status(thm)],[14700, 1383, 14620])).
% 49.06/32.17 tff(14702,plain,
% 49.06/32.17 (((~![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))),
% 49.06/32.17 inference(rewrite,[status(thm)],[])).
% 49.06/32.17 tff(14703,plain,
% 49.06/32.17 ((v26(constB97) | v130(constB97, bitIndex2) | (~v127(constB97, bitIndex2))) <=> ((~v127(constB97, bitIndex2)) | v26(constB97) | v130(constB97, bitIndex2))),
% 49.06/32.17 inference(rewrite,[status(thm)],[])).
% 49.06/32.17 tff(14704,plain,
% 49.06/32.17 (((~![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)))),
% 49.06/32.17 inference(monotonicity,[status(thm)],[14703])).
% 49.06/32.17 tff(14705,plain,
% 49.06/32.17 (((~![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))),
% 49.06/32.17 inference(transitivity,[status(thm)],[14704, 14702])).
% 49.06/32.17 tff(14706,plain,
% 49.06/32.17 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB97) | v130(constB97, bitIndex2) | (~v127(constB97, bitIndex2)))),
% 49.06/32.17 inference(quant_inst,[status(thm)],[])).
% 49.06/32.17 tff(14707,plain,
% 49.06/32.17 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB97, bitIndex2)) | v26(constB97) | v130(constB97, bitIndex2)),
% 49.06/32.17 inference(modus_ponens,[status(thm)],[14706, 14705])).
% 49.06/32.17 tff(14708,plain,
% 49.06/32.17 ((~v127(constB97, bitIndex2)) | v130(constB97, bitIndex2)),
% 49.06/32.17 inference(unit_resolution,[status(thm)],[14707, 1210, 14648])).
% 49.06/32.17 tff(14709,plain,
% 49.06/32.17 (~v127(constB97, bitIndex2)),
% 49.06/32.17 inference(unit_resolution,[status(thm)],[14708, 14701])).
% 49.06/32.17 tff(14710,plain,
% 49.06/32.17 (((~![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)))),
% 49.06/32.17 inference(rewrite,[status(thm)],[])).
% 49.06/32.17 tff(14711,plain,
% 49.06/32.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB97, constB98)) | v127(constB97, bitIndex2) | (~v129(constB98, bitIndex2)))),
% 49.06/32.17 inference(quant_inst,[status(thm)],[])).
% 49.06/32.17 tff(14712,plain,
% 49.06/32.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB97, constB98)) | v127(constB97, bitIndex2) | (~v129(constB98, bitIndex2))),
% 49.06/32.17 inference(modus_ponens,[status(thm)],[14711, 14710])).
% 49.06/32.17 tff(14713,plain,
% 49.06/32.17 (v127(constB97, bitIndex2) | (~v129(constB98, bitIndex2))),
% 49.06/32.17 inference(unit_resolution,[status(thm)],[14712, 1243, 14663])).
% 49.06/32.17 tff(14714,plain,
% 49.06/32.17 (~v129(constB98, bitIndex2)),
% 49.06/32.17 inference(unit_resolution,[status(thm)],[14713, 14709])).
% 49.06/32.17 tff(14715,plain,
% 49.06/32.17 (((~![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)))),
% 49.06/32.17 inference(rewrite,[status(thm)],[])).
% 49.06/32.17 tff(14716,plain,
% 49.06/32.17 (((~v90(constB98, bitIndex2)) | (~v100(constB98)) | v129(constB98, bitIndex2)) <=> ((~v90(constB98, bitIndex2)) | v129(constB98, bitIndex2) | (~v100(constB98)))),
% 49.06/32.17 inference(rewrite,[status(thm)],[])).
% 49.06/32.17 tff(14717,plain,
% 49.06/32.17 (((~![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))))),
% 49.06/32.17 inference(monotonicity,[status(thm)],[14716])).
% 49.06/32.17 tff(14718,plain,
% 49.06/32.17 (((~![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)))),
% 49.06/32.17 inference(transitivity,[status(thm)],[14717, 14715])).
% 49.06/32.17 tff(14719,plain,
% 49.06/32.17 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB98, bitIndex2)) | (~v100(constB98)) | v129(constB98, bitIndex2))),
% 49.06/32.17 inference(quant_inst,[status(thm)],[])).
% 49.06/32.17 tff(14720,plain,
% 49.06/32.17 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB98, bitIndex2)) | v129(constB98, bitIndex2) | (~v100(constB98))),
% 49.06/32.17 inference(modus_ponens,[status(thm)],[14719, 14718])).
% 49.06/32.17 tff(14721,plain,
% 49.06/32.17 ((~v90(constB98, bitIndex2)) | (~v100(constB98))),
% 49.06/32.17 inference(unit_resolution,[status(thm)],[14720, 1258, 14714])).
% 49.06/32.17 tff(14722,plain,
% 49.06/32.17 (~v90(constB98, bitIndex2)),
% 49.06/32.17 inference(unit_resolution,[status(thm)],[14721, 14697])).
% 49.06/32.17 tff(14723,plain,
% 49.06/32.17 ((~v1(constB99)) <=> (~v1(constB99))),
% 49.06/32.17 inference(rewrite,[status(thm)],[])).
% 49.06/32.17 tff(14724,axiom,(~v1(constB99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_99_1_1')).
% 49.06/32.17 tff(14725,plain,
% 49.06/32.17 (~v1(constB99)),
% 49.06/32.17 inference(modus_ponens,[status(thm)],[14724, 14723])).
% 49.06/32.17 tff(14726,plain,
% 49.06/32.17 (nextState(constB98, constB99) <=> nextState(constB98, constB99)),
% 49.06/32.17 inference(rewrite,[status(thm)],[])).
% 49.06/32.17 tff(14727,axiom,(nextState(constB98, constB99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_98_1')).
% 49.06/32.17 tff(14728,plain,
% 49.06/32.17 (nextState(constB98, constB99)),
% 49.06/32.17 inference(modus_ponens,[status(thm)],[14727, 14726])).
% 49.06/32.17 tff(14729,plain,
% 49.06/32.17 (((~![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)))),
% 49.06/32.17 inference(rewrite,[status(thm)],[])).
% 49.06/32.17 tff(14730,plain,
% 49.06/32.17 (((~nextState(constB98, constB99)) | (~v101(constB99)) | v1(constB99)) <=> (v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99)))),
% 49.06/32.17 inference(rewrite,[status(thm)],[])).
% 49.06/32.17 tff(14731,plain,
% 49.06/32.17 (((~![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))))),
% 49.06/32.17 inference(monotonicity,[status(thm)],[14730])).
% 49.06/32.17 tff(14732,plain,
% 49.06/32.17 (((~![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)))),
% 49.06/32.17 inference(transitivity,[status(thm)],[14731, 14729])).
% 49.06/32.17 tff(14733,plain,
% 49.06/32.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB98, constB99)) | (~v101(constB99)) | v1(constB99))),
% 49.06/32.17 inference(quant_inst,[status(thm)],[])).
% 49.06/32.17 tff(14734,plain,
% 49.06/32.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99))),
% 49.06/32.17 inference(modus_ponens,[status(thm)],[14733, 14732])).
% 49.06/32.17 tff(14735,plain,
% 49.06/32.17 (~v101(constB99)),
% 49.06/32.17 inference(unit_resolution,[status(thm)],[14734, 49, 14728, 14725])).
% 49.06/32.17 tff(14736,plain,
% 49.06/32.17 (((~![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)))),
% 49.06/32.17 inference(rewrite,[status(thm)],[])).
% 49.06/32.17 tff(14737,plain,
% 49.06/32.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB98, constB99)) | v101(constB99) | (~v100(constB99)))),
% 49.06/32.17 inference(quant_inst,[status(thm)],[])).
% 49.06/32.17 tff(14738,plain,
% 49.06/32.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB98, constB99)) | v101(constB99) | (~v100(constB99))),
% 49.06/32.17 inference(modus_ponens,[status(thm)],[14737, 14736])).
% 49.06/32.17 tff(14739,plain,
% 49.06/32.17 (v101(constB99) | (~v100(constB99))),
% 49.06/32.17 inference(unit_resolution,[status(thm)],[14738, 66, 14728])).
% 49.06/32.17 tff(14740,plain,
% 49.06/32.17 (~v100(constB99)),
% 49.06/32.17 inference(unit_resolution,[status(thm)],[14739, 14735])).
% 49.06/32.17 tff(14741,plain,
% 49.06/32.17 (((~![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)))),
% 49.06/32.17 inference(rewrite,[status(thm)],[])).
% 49.06/32.17 tff(14742,plain,
% 49.06/32.17 (((~nextState(constB98, constB99)) | v90(constB98, bitIndex2) | v100(constB99) | (~v90(constB99, bitIndex2))) <=> (v90(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex2)))),
% 49.06/32.17 inference(rewrite,[status(thm)],[])).
% 49.06/32.17 tff(14743,plain,
% 49.06/32.17 (((~![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))))),
% 49.06/32.17 inference(monotonicity,[status(thm)],[14742])).
% 49.06/32.17 tff(14744,plain,
% 49.06/32.17 (((~![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)))),
% 49.06/32.17 inference(transitivity,[status(thm)],[14743, 14741])).
% 49.06/32.17 tff(14745,plain,
% 49.06/32.17 ((~![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)))),
% 49.06/32.17 inference(quant_inst,[status(thm)],[])).
% 49.06/32.17 tff(14746,plain,
% 49.06/32.17 ((~![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))),
% 49.06/32.17 inference(modus_ponens,[status(thm)],[14745, 14744])).
% 49.06/32.17 tff(14747,plain,
% 49.06/32.17 (v90(constB98, bitIndex2) | v100(constB99) | (~v90(constB99, bitIndex2))),
% 49.06/32.17 inference(unit_resolution,[status(thm)],[14746, 81, 14728])).
% 49.06/32.17 tff(14748,plain,
% 49.06/32.17 (v90(constB98, bitIndex2) | (~v90(constB99, bitIndex2))),
% 49.06/32.17 inference(unit_resolution,[status(thm)],[14747, 14740])).
% 49.06/32.17 tff(14749,plain,
% 49.06/32.17 (~v90(constB99, bitIndex2)),
% 49.06/32.17 inference(unit_resolution,[status(thm)],[14748, 14722])).
% 49.06/32.17 tff(14750,plain,
% 49.06/32.17 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB97)) | v130(constB97, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB97)) | v130(constB97, bitIndex1))),
% 49.06/32.17 inference(rewrite,[status(thm)],[])).
% 49.06/32.17 tff(14751,plain,
% 49.06/32.17 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB97)) | v130(constB97, bitIndex1))),
% 49.06/32.17 inference(quant_inst,[status(thm)],[])).
% 49.06/32.17 tff(14752,plain,
% 49.06/32.17 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB97)) | v130(constB97, bitIndex1)),
% 49.06/32.18 inference(modus_ponens,[status(thm)],[14751, 14750])).
% 49.06/32.18 tff(14753,plain,
% 49.06/32.18 (v130(constB97, bitIndex1)),
% 49.06/32.18 inference(unit_resolution,[status(thm)],[14752, 1450, 14620])).
% 49.06/32.18 tff(14754,plain,
% 49.06/32.18 (((~![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))) | v26(constB97) | (~v130(constB97, bitIndex1)) | v127(constB97, bitIndex1))),
% 49.06/32.18 inference(rewrite,[status(thm)],[])).
% 49.06/32.18 tff(14755,plain,
% 49.06/32.18 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB97) | (~v130(constB97, bitIndex1)) | v127(constB97, bitIndex1))),
% 49.06/32.18 inference(quant_inst,[status(thm)],[])).
% 49.06/32.18 tff(14756,plain,
% 49.06/32.18 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB97) | (~v130(constB97, bitIndex1)) | v127(constB97, bitIndex1)),
% 49.06/32.18 inference(modus_ponens,[status(thm)],[14755, 14754])).
% 49.06/32.18 tff(14757,plain,
% 49.06/32.18 ((~v130(constB97, bitIndex1)) | v127(constB97, bitIndex1)),
% 49.06/32.18 inference(unit_resolution,[status(thm)],[14756, 681, 14648])).
% 49.06/32.18 tff(14758,plain,
% 49.06/32.18 (v127(constB97, bitIndex1)),
% 49.06/32.18 inference(unit_resolution,[status(thm)],[14757, 14753])).
% 49.06/32.18 tff(14759,plain,
% 49.06/32.18 (((~![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))),
% 49.06/32.18 inference(rewrite,[status(thm)],[])).
% 49.06/32.18 tff(14760,plain,
% 49.06/32.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB97, constB98)) | (~v127(constB97, bitIndex1)) | v129(constB98, bitIndex1))),
% 49.06/32.18 inference(quant_inst,[status(thm)],[])).
% 49.06/32.18 tff(14761,plain,
% 49.06/32.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB97, constB98)) | (~v127(constB97, bitIndex1)) | v129(constB98, bitIndex1)),
% 49.06/32.18 inference(modus_ponens,[status(thm)],[14760, 14759])).
% 49.06/32.18 tff(14762,plain,
% 49.06/32.18 ((~v127(constB97, bitIndex1)) | v129(constB98, bitIndex1)),
% 49.06/32.18 inference(unit_resolution,[status(thm)],[14761, 696, 14663])).
% 49.06/32.18 tff(14763,plain,
% 49.06/32.18 (v129(constB98, bitIndex1)),
% 49.06/32.18 inference(unit_resolution,[status(thm)],[14762, 14758])).
% 49.06/32.18 tff(14764,plain,
% 49.06/32.18 (((~![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)))),
% 49.06/32.18 inference(rewrite,[status(thm)],[])).
% 49.06/32.18 tff(14765,plain,
% 49.06/32.18 ((v90(constB98, bitIndex1) | (~v100(constB98)) | (~v129(constB98, bitIndex1))) <=> (v90(constB98, bitIndex1) | (~v129(constB98, bitIndex1)) | (~v100(constB98)))),
% 49.06/32.18 inference(rewrite,[status(thm)],[])).
% 49.06/32.18 tff(14766,plain,
% 49.06/32.18 (((~![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))))),
% 49.06/32.18 inference(monotonicity,[status(thm)],[14765])).
% 49.06/32.18 tff(14767,plain,
% 49.06/32.18 (((~![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)))),
% 49.06/32.18 inference(transitivity,[status(thm)],[14766, 14764])).
% 49.06/32.18 tff(14768,plain,
% 49.06/32.18 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB98, bitIndex1) | (~v100(constB98)) | (~v129(constB98, bitIndex1)))),
% 49.06/32.18 inference(quant_inst,[status(thm)],[])).
% 49.06/32.18 tff(14769,plain,
% 49.06/32.18 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB98, bitIndex1) | (~v129(constB98, bitIndex1)) | (~v100(constB98))),
% 49.06/32.18 inference(modus_ponens,[status(thm)],[14768, 14767])).
% 49.06/32.18 tff(14770,plain,
% 49.06/32.18 (v90(constB98, bitIndex1) | (~v100(constB98))),
% 49.06/32.18 inference(unit_resolution,[status(thm)],[14769, 711, 14763])).
% 49.06/32.18 tff(14771,plain,
% 49.06/32.18 (v90(constB98, bitIndex1)),
% 49.06/32.18 inference(unit_resolution,[status(thm)],[14770, 14697])).
% 49.06/32.18 tff(14772,plain,
% 49.06/32.18 (((~![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))),
% 49.06/32.18 inference(rewrite,[status(thm)],[])).
% 49.06/32.18 tff(14773,plain,
% 49.06/32.18 (((~nextState(constB98, constB99)) | (~v90(constB98, bitIndex1)) | v100(constB99) | v90(constB99, bitIndex1)) <=> ((~v90(constB98, bitIndex1)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, bitIndex1))),
% 49.06/32.18 inference(rewrite,[status(thm)],[])).
% 49.06/32.18 tff(14774,plain,
% 49.06/32.18 (((~![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)))),
% 49.06/32.18 inference(monotonicity,[status(thm)],[14773])).
% 49.06/32.18 tff(14775,plain,
% 49.06/32.18 (((~![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))),
% 49.06/32.18 inference(transitivity,[status(thm)],[14774, 14772])).
% 49.06/32.18 tff(14776,plain,
% 49.06/32.18 ((~![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))),
% 49.06/32.18 inference(quant_inst,[status(thm)],[])).
% 49.06/32.18 tff(14777,plain,
% 49.06/32.18 ((~![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)),
% 49.06/32.18 inference(modus_ponens,[status(thm)],[14776, 14775])).
% 49.06/32.18 tff(14778,plain,
% 49.06/32.18 ((~v90(constB98, bitIndex1)) | v100(constB99) | v90(constB99, bitIndex1)),
% 49.06/32.18 inference(unit_resolution,[status(thm)],[14777, 747, 14728])).
% 49.06/32.18 tff(14779,plain,
% 49.06/32.18 ((~v90(constB98, bitIndex1)) | v90(constB99, bitIndex1)),
% 49.06/32.18 inference(unit_resolution,[status(thm)],[14778, 14740])).
% 49.06/32.18 tff(14780,plain,
% 49.06/32.18 (v90(constB99, bitIndex1)),
% 49.06/32.18 inference(unit_resolution,[status(thm)],[14779, 14771])).
% 49.06/32.18 tff(14781,plain,
% 49.06/32.18 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB97)) | (~v130(constB97, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB97)) | (~v130(constB97, bitIndex0)))),
% 49.06/32.18 inference(rewrite,[status(thm)],[])).
% 49.06/32.18 tff(14782,plain,
% 49.06/32.18 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB97)) | (~v130(constB97, bitIndex0)))),
% 49.06/32.18 inference(quant_inst,[status(thm)],[])).
% 49.06/32.18 tff(14783,plain,
% 49.06/32.18 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB97)) | (~v130(constB97, bitIndex0))),
% 49.06/32.18 inference(modus_ponens,[status(thm)],[14782, 14781])).
% 49.06/32.18 tff(14784,plain,
% 49.06/32.18 (~v130(constB97, bitIndex0)),
% 49.06/32.18 inference(unit_resolution,[status(thm)],[14783, 1492, 14620])).
% 49.06/32.18 tff(14785,plain,
% 49.06/32.18 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB97, bitIndex0)) | v26(constB97) | v130(constB97, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB97, bitIndex0)) | v26(constB97) | v130(constB97, bitIndex0))),
% 49.06/32.18 inference(rewrite,[status(thm)],[])).
% 49.06/32.18 tff(14786,plain,
% 49.06/32.18 ((v26(constB97) | v130(constB97, bitIndex0) | (~v127(constB97, bitIndex0))) <=> ((~v127(constB97, bitIndex0)) | v26(constB97) | v130(constB97, bitIndex0))),
% 49.06/32.18 inference(rewrite,[status(thm)],[])).
% 49.06/32.18 tff(14787,plain,
% 49.06/32.18 (((~![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)))) | ((~v127(constB97, bitIndex0)) | v26(constB97) | v130(constB97, bitIndex0)))),
% 49.06/32.18 inference(monotonicity,[status(thm)],[14786])).
% 49.06/32.18 tff(14788,plain,
% 49.06/32.18 (((~![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)))) | (~v127(constB97, bitIndex0)) | v26(constB97) | v130(constB97, bitIndex0))),
% 49.06/32.18 inference(transitivity,[status(thm)],[14787, 14785])).
% 49.06/32.18 tff(14789,plain,
% 49.06/32.18 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB97) | v130(constB97, bitIndex0) | (~v127(constB97, bitIndex0)))),
% 49.06/32.18 inference(quant_inst,[status(thm)],[])).
% 49.06/32.18 tff(14790,plain,
% 49.06/32.18 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB97, bitIndex0)) | v26(constB97) | v130(constB97, bitIndex0)),
% 49.06/32.18 inference(modus_ponens,[status(thm)],[14789, 14788])).
% 49.06/32.18 tff(14791,plain,
% 49.06/32.18 ((~v127(constB97, bitIndex0)) | v130(constB97, bitIndex0)),
% 49.06/32.18 inference(unit_resolution,[status(thm)],[14790, 524, 14648])).
% 49.06/32.18 tff(14792,plain,
% 49.06/32.18 (~v127(constB97, bitIndex0)),
% 49.06/32.18 inference(unit_resolution,[status(thm)],[14791, 14784])).
% 49.06/32.18 tff(14793,plain,
% 49.06/32.18 (((~![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)))),
% 49.06/32.18 inference(rewrite,[status(thm)],[])).
% 49.06/32.18 tff(14794,plain,
% 49.06/32.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB97, constB98)) | v127(constB97, bitIndex0) | (~v129(constB98, bitIndex0)))),
% 49.06/32.18 inference(quant_inst,[status(thm)],[])).
% 49.06/32.18 tff(14795,plain,
% 49.06/32.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB97, constB98)) | v127(constB97, bitIndex0) | (~v129(constB98, bitIndex0))),
% 49.06/32.18 inference(modus_ponens,[status(thm)],[14794, 14793])).
% 49.06/32.18 tff(14796,plain,
% 49.06/32.18 (v127(constB97, bitIndex0) | (~v129(constB98, bitIndex0))),
% 49.06/32.18 inference(unit_resolution,[status(thm)],[14795, 542, 14663])).
% 49.06/32.18 tff(14797,plain,
% 49.06/32.18 (~v129(constB98, bitIndex0)),
% 49.06/32.18 inference(unit_resolution,[status(thm)],[14796, 14792])).
% 49.06/32.18 tff(14798,plain,
% 49.06/32.18 (((~![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)))),
% 49.06/32.18 inference(rewrite,[status(thm)],[])).
% 49.06/32.18 tff(14799,plain,
% 49.06/32.18 (((~v90(constB98, bitIndex0)) | (~v100(constB98)) | v129(constB98, bitIndex0)) <=> ((~v90(constB98, bitIndex0)) | v129(constB98, bitIndex0) | (~v100(constB98)))),
% 49.06/32.18 inference(rewrite,[status(thm)],[])).
% 49.06/32.18 tff(14800,plain,
% 49.06/32.18 (((~![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))))),
% 49.06/32.18 inference(monotonicity,[status(thm)],[14799])).
% 49.06/32.18 tff(14801,plain,
% 49.06/32.18 (((~![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)))),
% 49.06/32.18 inference(transitivity,[status(thm)],[14800, 14798])).
% 49.06/32.18 tff(14802,plain,
% 49.06/32.18 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB98, bitIndex0)) | (~v100(constB98)) | v129(constB98, bitIndex0))),
% 49.06/32.18 inference(quant_inst,[status(thm)],[])).
% 49.06/32.18 tff(14803,plain,
% 49.06/32.18 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB98, bitIndex0)) | v129(constB98, bitIndex0) | (~v100(constB98))),
% 49.06/32.18 inference(modus_ponens,[status(thm)],[14802, 14801])).
% 49.06/32.18 tff(14804,plain,
% 49.06/32.18 ((~v90(constB98, bitIndex0)) | (~v100(constB98))),
% 49.06/32.18 inference(unit_resolution,[status(thm)],[14803, 557, 14797])).
% 49.06/32.18 tff(14805,plain,
% 49.06/32.18 (~v90(constB98, bitIndex0)),
% 49.06/32.18 inference(unit_resolution,[status(thm)],[14804, 14697])).
% 49.06/32.18 tff(14806,plain,
% 49.06/32.18 (((~![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)))),
% 49.06/32.18 inference(rewrite,[status(thm)],[])).
% 49.06/32.18 tff(14807,plain,
% 49.06/32.18 (((~nextState(constB98, constB99)) | v90(constB98, bitIndex0) | v100(constB99) | (~v90(constB99, bitIndex0))) <=> (v90(constB98, bitIndex0) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, bitIndex0)))),
% 49.06/32.18 inference(rewrite,[status(thm)],[])).
% 49.06/32.18 tff(14808,plain,
% 49.06/32.18 (((~![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))))),
% 49.06/32.18 inference(monotonicity,[status(thm)],[14807])).
% 49.06/32.18 tff(14809,plain,
% 49.06/32.18 (((~![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)))),
% 49.06/32.18 inference(transitivity,[status(thm)],[14808, 14806])).
% 49.06/32.18 tff(14810,plain,
% 49.06/32.18 ((~![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)))),
% 49.06/32.18 inference(quant_inst,[status(thm)],[])).
% 49.06/32.18 tff(14811,plain,
% 49.06/32.18 ((~![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))),
% 49.06/32.18 inference(modus_ponens,[status(thm)],[14810, 14809])).
% 49.06/32.18 tff(14812,plain,
% 49.06/32.18 (v90(constB98, bitIndex0) | v100(constB99) | (~v90(constB99, bitIndex0))),
% 49.06/32.18 inference(unit_resolution,[status(thm)],[14811, 123, 14728])).
% 49.06/32.18 tff(14813,plain,
% 49.06/32.18 (v90(constB98, bitIndex0) | (~v90(constB99, bitIndex0))),
% 49.06/32.18 inference(unit_resolution,[status(thm)],[14812, 14740])).
% 49.06/32.18 tff(14814,plain,
% 49.06/32.18 (~v90(constB99, bitIndex0)),
% 49.06/32.18 inference(unit_resolution,[status(thm)],[14813, 14805])).
% 49.06/32.18 tff(14815,plain,
% 49.06/32.18 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB99, bitIndex0) | (~v90(constB99, bitIndex1)) | v90(constB99, bitIndex2) | v121(constB99))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB99, bitIndex0) | (~v90(constB99, bitIndex1)) | v90(constB99, bitIndex2) | v121(constB99))),
% 49.06/32.18 inference(rewrite,[status(thm)],[])).
% 49.06/32.18 tff(14816,plain,
% 49.06/32.18 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB99, bitIndex0) | (~v90(constB99, bitIndex1)) | v90(constB99, bitIndex2) | v121(constB99))),
% 49.06/32.18 inference(quant_inst,[status(thm)],[])).
% 49.06/32.18 tff(14817,plain,
% 49.06/32.18 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB99, bitIndex0) | (~v90(constB99, bitIndex1)) | v90(constB99, bitIndex2) | v121(constB99)),
% 49.06/32.18 inference(modus_ponens,[status(thm)],[14816, 14815])).
% 49.06/32.18 tff(14818,plain,
% 49.06/32.18 (v121(constB99)),
% 49.06/32.18 inference(unit_resolution,[status(thm)],[14817, 1551, 14814, 14780, 14749])).
% 49.06/32.18 tff(14819,plain,
% 49.06/32.18 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB99) | (~v121(constB99)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB99) | (~v121(constB99)))),
% 49.06/32.18 inference(rewrite,[status(thm)],[])).
% 49.06/32.18 tff(14820,plain,
% 49.06/32.18 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB99) | (~v121(constB99)))),
% 49.06/32.18 inference(quant_inst,[status(thm)],[])).
% 49.06/32.18 tff(14821,plain,
% 49.06/32.18 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB99) | (~v121(constB99))),
% 49.06/32.18 inference(modus_ponens,[status(thm)],[14820, 14819])).
% 49.06/32.18 tff(14822,plain,
% 49.06/32.18 (v117(constB99)),
% 49.06/32.18 inference(unit_resolution,[status(thm)],[14821, 1562, 14818])).
% 49.06/32.18 tff(14823,plain,
% 49.06/32.18 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB99) | (~v117(constB99)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB99) | (~v117(constB99)))),
% 49.06/32.18 inference(rewrite,[status(thm)],[])).
% 49.06/32.18 tff(14824,plain,
% 49.06/32.18 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB99) | (~v117(constB99)))),
% 49.06/32.18 inference(quant_inst,[status(thm)],[])).
% 49.06/32.18 tff(14825,plain,
% 49.06/32.18 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB99) | (~v117(constB99))),
% 49.06/32.18 inference(modus_ponens,[status(thm)],[14824, 14823])).
% 49.06/32.18 tff(14826,plain,
% 49.06/32.18 (v116(constB99)),
% 49.06/32.18 inference(unit_resolution,[status(thm)],[14825, 177, 14822])).
% 49.06/32.18 tff(14827,plain,
% 49.06/32.18 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB99) | (~v116(constB99)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB99) | (~v116(constB99)))),
% 49.06/32.18 inference(rewrite,[status(thm)],[])).
% 49.06/32.18 tff(14828,plain,
% 49.06/32.18 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB99) | (~v116(constB99)))),
% 49.06/32.18 inference(quant_inst,[status(thm)],[])).
% 49.06/32.18 tff(14829,plain,
% 49.06/32.18 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB99) | (~v116(constB99))),
% 49.06/32.18 inference(modus_ponens,[status(thm)],[14828, 14827])).
% 49.06/32.18 tff(14830,plain,
% 49.06/32.18 (v115(constB99)),
% 49.06/32.18 inference(unit_resolution,[status(thm)],[14829, 188, 14826])).
% 49.06/32.18 tff(14831,plain,
% 49.06/32.18 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB99) | (~v115(constB99)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB99) | (~v115(constB99)))),
% 49.06/32.18 inference(rewrite,[status(thm)],[])).
% 49.06/32.18 tff(14832,plain,
% 49.06/32.18 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB99) | (~v115(constB99)))),
% 49.06/32.18 inference(quant_inst,[status(thm)],[])).
% 49.06/32.18 tff(14833,plain,
% 49.06/32.18 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB99) | (~v115(constB99))),
% 49.06/32.18 inference(modus_ponens,[status(thm)],[14832, 14831])).
% 49.06/32.18 tff(14834,plain,
% 49.06/32.18 (v114(constB99)),
% 49.06/32.18 inference(unit_resolution,[status(thm)],[14833, 199, 14830])).
% 49.06/32.18 tff(14835,plain,
% 49.06/32.18 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB99) | (~v114(constB99)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB99) | (~v114(constB99)))),
% 49.06/32.18 inference(rewrite,[status(thm)],[])).
% 49.06/32.18 tff(14836,plain,
% 49.06/32.18 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB99) | (~v114(constB99)))),
% 49.06/32.18 inference(quant_inst,[status(thm)],[])).
% 49.06/32.18 tff(14837,plain,
% 49.06/32.18 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB99) | (~v114(constB99))),
% 49.06/32.18 inference(modus_ponens,[status(thm)],[14836, 14835])).
% 49.06/32.18 tff(14838,plain,
% 49.06/32.18 (v113(constB99)),
% 49.06/32.18 inference(unit_resolution,[status(thm)],[14837, 210, 14834])).
% 49.06/32.18 tff(14839,assumption,(v26(constB99)), introduced(assumption)).
% 49.06/32.18 tff(14840,plain,
% 49.06/32.18 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB99))),
% 49.06/32.18 inference(quant_inst,[status(thm)],[])).
% 49.06/32.18 tff(14841,plain,
% 49.06/32.18 ($false),
% 49.06/32.18 inference(unit_resolution,[status(thm)],[14840, 16, 14839])).
% 49.06/32.18 tff(14842,plain,(~v26(constB99)), inference(lemma,lemma(discharge,[]))).
% 49.06/32.18 tff(14843,plain,
% 49.06/32.18 (((~![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))),
% 49.06/32.18 inference(rewrite,[status(thm)],[])).
% 49.06/32.18 tff(14844,plain,
% 49.06/32.18 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB99) | (~v113(constB99)) | v112(constB99))),
% 49.06/32.18 inference(quant_inst,[status(thm)],[])).
% 49.06/32.18 tff(14845,plain,
% 49.06/32.18 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB99) | (~v113(constB99)) | v112(constB99)),
% 49.06/32.18 inference(modus_ponens,[status(thm)],[14844, 14843])).
% 49.06/32.18 tff(14846,plain,
% 49.06/32.18 ((~v113(constB99)) | v112(constB99)),
% 49.06/32.18 inference(unit_resolution,[status(thm)],[14845, 224, 14842])).
% 49.06/32.18 tff(14847,plain,
% 49.06/32.18 (v112(constB99)),
% 49.06/32.18 inference(unit_resolution,[status(thm)],[14846, 14838])).
% 49.06/32.18 tff(14848,plain,
% 49.06/32.18 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB99) | (~v112(constB99)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB99) | (~v112(constB99)))),
% 49.06/32.18 inference(rewrite,[status(thm)],[])).
% 49.06/32.18 tff(14849,plain,
% 49.06/32.18 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB99) | (~v112(constB99)))),
% 49.06/32.18 inference(quant_inst,[status(thm)],[])).
% 49.06/32.18 tff(14850,plain,
% 49.06/32.18 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB99) | (~v112(constB99))),
% 49.06/32.18 inference(modus_ponens,[status(thm)],[14849, 14848])).
% 49.06/32.18 tff(14851,plain,
% 49.06/32.18 (v108(constB99)),
% 49.06/32.18 inference(unit_resolution,[status(thm)],[14850, 236, 14847])).
% 49.06/32.18 tff(14852,plain,
% 49.06/32.18 (nextState(constB99, constB100) <=> nextState(constB99, constB100)),
% 49.06/32.18 inference(rewrite,[status(thm)],[])).
% 49.06/32.18 tff(14853,axiom,(nextState(constB99, constB100)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_99_1')).
% 49.06/32.18 tff(14854,plain,
% 49.06/32.18 (nextState(constB99, constB100)),
% 49.06/32.18 inference(modus_ponens,[status(thm)],[14853, 14852])).
% 49.06/32.18 tff(14855,plain,
% 49.06/32.18 (((~![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)))),
% 49.06/32.18 inference(rewrite,[status(thm)],[])).
% 49.06/32.18 tff(14856,plain,
% 49.06/32.18 (((~nextState(constB99, constB100)) | (~v108(constB99)) | v110(constB100)) <=> ((~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99)))),
% 49.06/32.18 inference(rewrite,[status(thm)],[])).
% 49.06/32.18 tff(14857,plain,
% 49.06/32.18 (((~![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))))),
% 49.06/32.18 inference(monotonicity,[status(thm)],[14856])).
% 49.06/32.18 tff(14858,plain,
% 49.06/32.18 (((~![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)))),
% 49.06/32.18 inference(transitivity,[status(thm)],[14857, 14855])).
% 49.06/32.18 tff(14859,plain,
% 49.06/32.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB99, constB100)) | (~v108(constB99)) | v110(constB100))),
% 49.06/32.18 inference(quant_inst,[status(thm)],[])).
% 49.06/32.18 tff(14860,plain,
% 49.06/32.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99))),
% 49.06/32.18 inference(modus_ponens,[status(thm)],[14859, 14858])).
% 49.06/32.18 tff(14861,plain,
% 49.06/32.18 (v110(constB100) | (~v108(constB99))),
% 49.06/32.18 inference(unit_resolution,[status(thm)],[14860, 253, 14854])).
% 49.06/32.18 tff(14862,plain,
% 49.06/32.18 (v110(constB100)),
% 49.06/32.18 inference(unit_resolution,[status(thm)],[14861, 14851])).
% 49.06/32.18 tff(14863,plain,
% 49.06/32.18 (((~![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)))),
% 49.06/32.18 inference(rewrite,[status(thm)],[])).
% 49.06/32.18 tff(14864,plain,
% 49.06/32.18 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB99) | (~nextState(constB99, constB100)) | (~v104(constB100)))),
% 49.06/32.18 inference(quant_inst,[status(thm)],[])).
% 49.06/32.18 tff(14865,plain,
% 49.06/32.18 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB99) | (~nextState(constB99, constB100)) | (~v104(constB100))),
% 49.06/32.18 inference(modus_ponens,[status(thm)],[14864, 14863])).
% 49.06/32.18 tff(14866,plain,
% 49.06/32.18 (~v104(constB100)),
% 49.06/32.18 inference(unit_resolution,[status(thm)],[14865, 271, 14854, 14725])).
% 49.06/32.18 tff(14867,plain,
% 49.06/32.18 (((~![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))),
% 49.06/32.18 inference(rewrite,[status(thm)],[])).
% 49.06/32.18 tff(14868,plain,
% 49.06/32.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB99, constB100)) | v102(constB100) | v104(constB100))),
% 49.06/32.18 inference(quant_inst,[status(thm)],[])).
% 49.06/32.18 tff(14869,plain,
% 49.06/32.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB99, constB100)) | v102(constB100) | v104(constB100)),
% 49.06/32.18 inference(modus_ponens,[status(thm)],[14868, 14867])).
% 49.06/32.18 tff(14870,plain,
% 49.06/32.18 (v102(constB100) | v104(constB100)),
% 49.06/32.18 inference(unit_resolution,[status(thm)],[14869, 285, 14854])).
% 49.06/32.18 tff(14871,plain,
% 49.06/32.18 (v102(constB100)),
% 49.06/32.18 inference(unit_resolution,[status(thm)],[14870, 14866])).
% 49.06/32.18 tff(14872,plain,
% 49.06/32.18 (v1(constB100) <=> v1(constB100)),
% 49.06/32.18 inference(rewrite,[status(thm)],[])).
% 49.06/32.18 tff(14873,axiom,(v1(constB100)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_100_1')).
% 49.06/32.18 tff(14874,plain,
% 49.06/32.18 (v1(constB100)),
% 49.06/32.18 inference(modus_ponens,[status(thm)],[14873, 14872])).
% 49.06/32.18 tff(14875,plain,
% 49.06/32.18 (((~![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)))),
% 49.06/32.18 inference(rewrite,[status(thm)],[])).
% 49.06/32.18 tff(14876,plain,
% 49.06/32.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB99, constB100)) | v101(constB100) | (~v102(constB100)) | (~v1(constB100)))),
% 49.06/32.18 inference(quant_inst,[status(thm)],[])).
% 49.06/32.18 tff(14877,plain,
% 49.06/32.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB99, constB100)) | v101(constB100) | (~v102(constB100)) | (~v1(constB100))),
% 49.06/32.18 inference(modus_ponens,[status(thm)],[14876, 14875])).
% 49.06/32.18 tff(14878,plain,
% 49.06/32.18 (v101(constB100) | (~v102(constB100))),
% 49.06/32.18 inference(unit_resolution,[status(thm)],[14877, 303, 14854, 14874])).
% 49.06/32.18 tff(14879,plain,
% 49.06/32.18 (v101(constB100)),
% 49.06/32.18 inference(unit_resolution,[status(thm)],[14878, 14871])).
% 49.06/32.18 tff(14880,plain,
% 49.06/32.18 (((~![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)))),
% 49.06/32.18 inference(rewrite,[status(thm)],[])).
% 49.06/32.18 tff(14881,plain,
% 49.06/32.18 (((~nextState(constB99, constB100)) | (~v101(constB100)) | (~v110(constB100)) | v100(constB100)) <=> ((~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100)))),
% 49.06/32.18 inference(rewrite,[status(thm)],[])).
% 49.06/32.18 tff(14882,plain,
% 49.06/32.18 (((~![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))))),
% 49.06/32.18 inference(monotonicity,[status(thm)],[14881])).
% 49.06/32.18 tff(14883,plain,
% 49.06/32.18 (((~![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)))),
% 49.06/32.19 inference(transitivity,[status(thm)],[14882, 14880])).
% 49.06/32.19 tff(14884,plain,
% 49.06/32.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB99, constB100)) | (~v101(constB100)) | (~v110(constB100)) | v100(constB100))),
% 49.06/32.19 inference(quant_inst,[status(thm)],[])).
% 49.06/32.19 tff(14885,plain,
% 49.06/32.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100))),
% 49.06/32.19 inference(modus_ponens,[status(thm)],[14884, 14883])).
% 49.06/32.19 tff(14886,plain,
% 49.06/32.19 (v100(constB100) | (~v101(constB100)) | (~v110(constB100))),
% 49.06/32.19 inference(unit_resolution,[status(thm)],[14885, 318, 14854])).
% 49.06/32.19 tff(14887,plain,
% 49.06/32.19 (v100(constB100) | (~v110(constB100))),
% 49.06/32.19 inference(unit_resolution,[status(thm)],[14886, 14879])).
% 49.06/32.19 tff(14888,plain,
% 49.06/32.19 (v100(constB100)),
% 49.06/32.19 inference(unit_resolution,[status(thm)],[14887, 14862])).
% 49.06/32.19 tff(14889,plain,
% 49.06/32.19 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB99)) | (~v130(constB99, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB99)) | (~v130(constB99, bitIndex2)))),
% 49.06/32.19 inference(rewrite,[status(thm)],[])).
% 49.06/32.19 tff(14890,plain,
% 49.06/32.19 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB99)) | (~v130(constB99, bitIndex2)))),
% 49.06/32.19 inference(quant_inst,[status(thm)],[])).
% 49.06/32.19 tff(14891,plain,
% 49.06/32.19 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB99)) | (~v130(constB99, bitIndex2))),
% 49.06/32.19 inference(modus_ponens,[status(thm)],[14890, 14889])).
% 49.06/32.19 tff(14892,plain,
% 49.06/32.19 (~v130(constB99, bitIndex2)),
% 49.06/32.19 inference(unit_resolution,[status(thm)],[14891, 1645, 14818])).
% 49.06/32.19 tff(14893,plain,
% 49.06/32.19 (((~![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))),
% 49.06/32.19 inference(rewrite,[status(thm)],[])).
% 49.06/32.19 tff(14894,plain,
% 49.06/32.19 ((v26(constB99) | v130(constB99, bitIndex2) | (~v127(constB99, bitIndex2))) <=> ((~v127(constB99, bitIndex2)) | v26(constB99) | v130(constB99, bitIndex2))),
% 49.06/32.19 inference(rewrite,[status(thm)],[])).
% 49.06/32.19 tff(14895,plain,
% 49.06/32.19 (((~![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)))),
% 49.06/32.19 inference(monotonicity,[status(thm)],[14894])).
% 49.06/32.19 tff(14896,plain,
% 49.06/32.19 (((~![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))),
% 49.06/32.19 inference(transitivity,[status(thm)],[14895, 14893])).
% 49.06/32.19 tff(14897,plain,
% 49.06/32.19 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB99) | v130(constB99, bitIndex2) | (~v127(constB99, bitIndex2)))),
% 49.06/32.19 inference(quant_inst,[status(thm)],[])).
% 49.06/32.19 tff(14898,plain,
% 49.06/32.19 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB99, bitIndex2)) | v26(constB99) | v130(constB99, bitIndex2)),
% 49.06/32.19 inference(modus_ponens,[status(thm)],[14897, 14896])).
% 49.06/32.19 tff(14899,plain,
% 49.06/32.19 ((~v127(constB99, bitIndex2)) | v130(constB99, bitIndex2)),
% 49.06/32.19 inference(unit_resolution,[status(thm)],[14898, 1210, 14842])).
% 49.06/32.19 tff(14900,plain,
% 49.06/32.19 (~v127(constB99, bitIndex2)),
% 49.06/32.19 inference(unit_resolution,[status(thm)],[14899, 14892])).
% 49.06/32.19 tff(14901,plain,
% 49.06/32.19 (((~![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)))),
% 49.06/32.19 inference(rewrite,[status(thm)],[])).
% 49.06/32.19 tff(14902,plain,
% 49.06/32.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB99, constB100)) | v127(constB99, bitIndex2) | (~v129(constB100, bitIndex2)))),
% 49.06/32.19 inference(quant_inst,[status(thm)],[])).
% 49.06/32.19 tff(14903,plain,
% 49.06/32.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB99, constB100)) | v127(constB99, bitIndex2) | (~v129(constB100, bitIndex2))),
% 49.06/32.19 inference(modus_ponens,[status(thm)],[14902, 14901])).
% 49.06/32.19 tff(14904,plain,
% 49.06/32.19 (v127(constB99, bitIndex2) | (~v129(constB100, bitIndex2))),
% 49.06/32.19 inference(unit_resolution,[status(thm)],[14903, 1243, 14854])).
% 49.06/32.19 tff(14905,plain,
% 49.06/32.19 (~v129(constB100, bitIndex2)),
% 49.06/32.19 inference(unit_resolution,[status(thm)],[14904, 14900])).
% 49.06/32.19 tff(14906,plain,
% 49.06/32.19 (((~![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)))),
% 49.06/32.19 inference(rewrite,[status(thm)],[])).
% 49.06/32.19 tff(14907,plain,
% 49.06/32.19 (((~v90(constB100, bitIndex2)) | (~v100(constB100)) | v129(constB100, bitIndex2)) <=> ((~v90(constB100, bitIndex2)) | v129(constB100, bitIndex2) | (~v100(constB100)))),
% 49.06/32.19 inference(rewrite,[status(thm)],[])).
% 49.06/32.19 tff(14908,plain,
% 49.06/32.19 (((~![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))))),
% 49.06/32.19 inference(monotonicity,[status(thm)],[14907])).
% 49.06/32.19 tff(14909,plain,
% 49.06/32.19 (((~![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)))),
% 49.06/32.19 inference(transitivity,[status(thm)],[14908, 14906])).
% 49.06/32.19 tff(14910,plain,
% 49.06/32.19 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB100, bitIndex2)) | (~v100(constB100)) | v129(constB100, bitIndex2))),
% 49.06/32.19 inference(quant_inst,[status(thm)],[])).
% 49.06/32.19 tff(14911,plain,
% 49.06/32.19 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB100, bitIndex2)) | v129(constB100, bitIndex2) | (~v100(constB100))),
% 49.06/32.19 inference(modus_ponens,[status(thm)],[14910, 14909])).
% 49.06/32.19 tff(14912,plain,
% 49.06/32.19 ((~v90(constB100, bitIndex2)) | (~v100(constB100))),
% 49.06/32.19 inference(unit_resolution,[status(thm)],[14911, 1258, 14905])).
% 49.06/32.19 tff(14913,plain,
% 49.06/32.19 (~v90(constB100, bitIndex2)),
% 49.06/32.19 inference(unit_resolution,[status(thm)],[14912, 14888])).
% 49.06/32.19 tff(14914,plain,
% 49.06/32.19 ((~v1(constB101)) <=> (~v1(constB101))),
% 49.06/32.19 inference(rewrite,[status(thm)],[])).
% 49.06/32.19 tff(14915,axiom,(~v1(constB101)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_101_1_1')).
% 49.06/32.19 tff(14916,plain,
% 49.06/32.19 (~v1(constB101)),
% 49.06/32.19 inference(modus_ponens,[status(thm)],[14915, 14914])).
% 49.06/32.19 tff(14917,plain,
% 49.06/32.19 (nextState(constB100, constB101) <=> nextState(constB100, constB101)),
% 49.06/32.19 inference(rewrite,[status(thm)],[])).
% 49.06/32.19 tff(14918,axiom,(nextState(constB100, constB101)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_100_1')).
% 49.06/32.19 tff(14919,plain,
% 49.06/32.19 (nextState(constB100, constB101)),
% 49.06/32.19 inference(modus_ponens,[status(thm)],[14918, 14917])).
% 49.06/32.19 tff(14920,plain,
% 49.06/32.19 (((~![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)))),
% 49.06/32.19 inference(rewrite,[status(thm)],[])).
% 49.06/32.19 tff(14921,plain,
% 49.06/32.19 (((~nextState(constB100, constB101)) | (~v101(constB101)) | v1(constB101)) <=> (v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101)))),
% 49.06/32.19 inference(rewrite,[status(thm)],[])).
% 49.06/32.19 tff(14922,plain,
% 49.06/32.19 (((~![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))))),
% 49.06/32.19 inference(monotonicity,[status(thm)],[14921])).
% 49.06/32.19 tff(14923,plain,
% 49.06/32.19 (((~![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)))),
% 49.06/32.19 inference(transitivity,[status(thm)],[14922, 14920])).
% 49.06/32.19 tff(14924,plain,
% 49.06/32.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB100, constB101)) | (~v101(constB101)) | v1(constB101))),
% 49.06/32.19 inference(quant_inst,[status(thm)],[])).
% 49.06/32.19 tff(14925,plain,
% 49.06/32.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101))),
% 49.06/32.19 inference(modus_ponens,[status(thm)],[14924, 14923])).
% 49.06/32.19 tff(14926,plain,
% 49.06/32.19 (~v101(constB101)),
% 49.06/32.19 inference(unit_resolution,[status(thm)],[14925, 49, 14919, 14916])).
% 49.06/32.19 tff(14927,plain,
% 49.06/32.19 (((~![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)))),
% 49.06/32.19 inference(rewrite,[status(thm)],[])).
% 49.06/32.19 tff(14928,plain,
% 49.06/32.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB100, constB101)) | v101(constB101) | (~v100(constB101)))),
% 49.06/32.19 inference(quant_inst,[status(thm)],[])).
% 49.06/32.19 tff(14929,plain,
% 49.06/32.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB100, constB101)) | v101(constB101) | (~v100(constB101))),
% 49.06/32.19 inference(modus_ponens,[status(thm)],[14928, 14927])).
% 49.06/32.19 tff(14930,plain,
% 49.06/32.19 (v101(constB101) | (~v100(constB101))),
% 49.06/32.19 inference(unit_resolution,[status(thm)],[14929, 66, 14919])).
% 49.06/32.19 tff(14931,plain,
% 49.06/32.19 (~v100(constB101)),
% 49.06/32.19 inference(unit_resolution,[status(thm)],[14930, 14926])).
% 49.06/32.19 tff(14932,plain,
% 49.06/32.19 (((~![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)))),
% 49.06/32.19 inference(rewrite,[status(thm)],[])).
% 49.06/32.19 tff(14933,plain,
% 49.06/32.19 (((~nextState(constB100, constB101)) | v90(constB100, bitIndex2) | v100(constB101) | (~v90(constB101, bitIndex2))) <=> (v90(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, bitIndex2)))),
% 49.06/32.19 inference(rewrite,[status(thm)],[])).
% 49.06/32.19 tff(14934,plain,
% 49.06/32.19 (((~![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))))),
% 49.06/32.19 inference(monotonicity,[status(thm)],[14933])).
% 49.06/32.19 tff(14935,plain,
% 49.06/32.19 (((~![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)))),
% 49.06/32.19 inference(transitivity,[status(thm)],[14934, 14932])).
% 49.06/32.19 tff(14936,plain,
% 49.06/32.19 ((~![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)))),
% 49.06/32.19 inference(quant_inst,[status(thm)],[])).
% 49.06/32.19 tff(14937,plain,
% 49.06/32.19 ((~![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))),
% 49.06/32.19 inference(modus_ponens,[status(thm)],[14936, 14935])).
% 49.06/32.19 tff(14938,plain,
% 49.06/32.19 (v90(constB100, bitIndex2) | v100(constB101) | (~v90(constB101, bitIndex2))),
% 49.06/32.19 inference(unit_resolution,[status(thm)],[14937, 81, 14919])).
% 49.06/32.19 tff(14939,plain,
% 49.06/32.19 (v90(constB100, bitIndex2) | (~v90(constB101, bitIndex2))),
% 49.06/32.19 inference(unit_resolution,[status(thm)],[14938, 14931])).
% 49.06/32.19 tff(14940,plain,
% 49.06/32.19 (~v90(constB101, bitIndex2)),
% 49.06/32.19 inference(unit_resolution,[status(thm)],[14939, 14913])).
% 49.06/32.19 tff(14941,plain,
% 49.06/32.19 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB99)) | v130(constB99, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB99)) | v130(constB99, bitIndex1))),
% 49.06/32.19 inference(rewrite,[status(thm)],[])).
% 49.06/32.19 tff(14942,plain,
% 49.06/32.19 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB99)) | v130(constB99, bitIndex1))),
% 49.06/32.19 inference(quant_inst,[status(thm)],[])).
% 49.06/32.19 tff(14943,plain,
% 49.06/32.19 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB99)) | v130(constB99, bitIndex1)),
% 49.06/32.19 inference(modus_ponens,[status(thm)],[14942, 14941])).
% 49.06/32.19 tff(14944,plain,
% 49.06/32.19 (v130(constB99, bitIndex1)),
% 49.06/32.19 inference(unit_resolution,[status(thm)],[14943, 1707, 14818])).
% 49.06/32.19 tff(14945,plain,
% 49.06/32.19 (((~![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))),
% 49.06/32.19 inference(rewrite,[status(thm)],[])).
% 49.06/32.19 tff(14946,plain,
% 49.06/32.19 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB99) | (~v130(constB99, bitIndex1)) | v127(constB99, bitIndex1))),
% 49.06/32.19 inference(quant_inst,[status(thm)],[])).
% 49.06/32.19 tff(14947,plain,
% 49.06/32.19 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB99) | (~v130(constB99, bitIndex1)) | v127(constB99, bitIndex1)),
% 49.06/32.19 inference(modus_ponens,[status(thm)],[14946, 14945])).
% 49.06/32.19 tff(14948,plain,
% 49.06/32.19 ((~v130(constB99, bitIndex1)) | v127(constB99, bitIndex1)),
% 49.06/32.19 inference(unit_resolution,[status(thm)],[14947, 681, 14842])).
% 49.06/32.19 tff(14949,plain,
% 49.06/32.19 (v127(constB99, bitIndex1)),
% 49.06/32.19 inference(unit_resolution,[status(thm)],[14948, 14944])).
% 49.06/32.19 tff(14950,plain,
% 49.06/32.19 (((~![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))),
% 49.06/32.19 inference(rewrite,[status(thm)],[])).
% 49.06/32.19 tff(14951,plain,
% 49.06/32.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB99, constB100)) | (~v127(constB99, bitIndex1)) | v129(constB100, bitIndex1))),
% 49.06/32.19 inference(quant_inst,[status(thm)],[])).
% 49.06/32.19 tff(14952,plain,
% 49.06/32.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB99, constB100)) | (~v127(constB99, bitIndex1)) | v129(constB100, bitIndex1)),
% 49.06/32.19 inference(modus_ponens,[status(thm)],[14951, 14950])).
% 49.06/32.19 tff(14953,plain,
% 49.06/32.19 ((~v127(constB99, bitIndex1)) | v129(constB100, bitIndex1)),
% 49.06/32.19 inference(unit_resolution,[status(thm)],[14952, 696, 14854])).
% 49.06/32.19 tff(14954,plain,
% 49.06/32.19 (v129(constB100, bitIndex1)),
% 49.06/32.19 inference(unit_resolution,[status(thm)],[14953, 14949])).
% 49.06/32.19 tff(14955,plain,
% 49.06/32.19 (((~![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)))),
% 49.06/32.19 inference(rewrite,[status(thm)],[])).
% 49.06/32.19 tff(14956,plain,
% 49.06/32.19 ((v90(constB100, bitIndex1) | (~v100(constB100)) | (~v129(constB100, bitIndex1))) <=> (v90(constB100, bitIndex1) | (~v129(constB100, bitIndex1)) | (~v100(constB100)))),
% 49.06/32.19 inference(rewrite,[status(thm)],[])).
% 49.06/32.19 tff(14957,plain,
% 49.06/32.19 (((~![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))))),
% 49.06/32.19 inference(monotonicity,[status(thm)],[14956])).
% 49.06/32.19 tff(14958,plain,
% 49.06/32.19 (((~![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)))),
% 49.06/32.19 inference(transitivity,[status(thm)],[14957, 14955])).
% 49.06/32.19 tff(14959,plain,
% 49.06/32.19 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB100, bitIndex1) | (~v100(constB100)) | (~v129(constB100, bitIndex1)))),
% 49.06/32.19 inference(quant_inst,[status(thm)],[])).
% 49.06/32.19 tff(14960,plain,
% 49.06/32.19 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB100, bitIndex1) | (~v129(constB100, bitIndex1)) | (~v100(constB100))),
% 49.06/32.19 inference(modus_ponens,[status(thm)],[14959, 14958])).
% 49.06/32.19 tff(14961,plain,
% 49.06/32.19 (v90(constB100, bitIndex1) | (~v100(constB100))),
% 49.06/32.19 inference(unit_resolution,[status(thm)],[14960, 711, 14954])).
% 49.06/32.19 tff(14962,plain,
% 49.06/32.19 (v90(constB100, bitIndex1)),
% 49.06/32.19 inference(unit_resolution,[status(thm)],[14961, 14888])).
% 49.06/32.19 tff(14963,plain,
% 49.06/32.19 (((~![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))),
% 49.06/32.19 inference(rewrite,[status(thm)],[])).
% 49.06/32.19 tff(14964,plain,
% 49.06/32.19 (((~nextState(constB100, constB101)) | (~v90(constB100, bitIndex1)) | v100(constB101) | v90(constB101, bitIndex1)) <=> ((~v90(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex1))),
% 49.06/32.19 inference(rewrite,[status(thm)],[])).
% 49.06/32.19 tff(14965,plain,
% 49.06/32.19 (((~![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)))),
% 49.06/32.19 inference(monotonicity,[status(thm)],[14964])).
% 49.06/32.19 tff(14966,plain,
% 49.06/32.19 (((~![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))),
% 49.06/32.19 inference(transitivity,[status(thm)],[14965, 14963])).
% 49.06/32.19 tff(14967,plain,
% 49.06/32.19 ((~![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))),
% 49.06/32.19 inference(quant_inst,[status(thm)],[])).
% 49.06/32.19 tff(14968,plain,
% 49.06/32.19 ((~![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)),
% 49.06/32.19 inference(modus_ponens,[status(thm)],[14967, 14966])).
% 49.06/32.19 tff(14969,plain,
% 49.06/32.19 ((~v90(constB100, bitIndex1)) | v100(constB101) | v90(constB101, bitIndex1)),
% 49.06/32.19 inference(unit_resolution,[status(thm)],[14968, 747, 14919])).
% 49.06/32.19 tff(14970,plain,
% 49.06/32.19 ((~v90(constB100, bitIndex1)) | v90(constB101, bitIndex1)),
% 49.06/32.19 inference(unit_resolution,[status(thm)],[14969, 14931])).
% 49.06/32.19 tff(14971,plain,
% 49.06/32.19 (v90(constB101, bitIndex1)),
% 49.06/32.19 inference(unit_resolution,[status(thm)],[14970, 14962])).
% 49.06/32.19 tff(14972,plain,
% 49.06/32.19 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB99)) | v130(constB99, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB99)) | v130(constB99, bitIndex0))),
% 49.06/32.19 inference(rewrite,[status(thm)],[])).
% 49.06/32.19 tff(14973,plain,
% 49.06/32.19 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB99)) | v130(constB99, bitIndex0))),
% 49.06/32.19 inference(quant_inst,[status(thm)],[])).
% 49.06/32.19 tff(14974,plain,
% 49.06/32.19 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB99)) | v130(constB99, bitIndex0)),
% 49.06/32.19 inference(modus_ponens,[status(thm)],[14973, 14972])).
% 49.06/32.19 tff(14975,plain,
% 49.06/32.19 (v130(constB99, bitIndex0)),
% 49.06/32.19 inference(unit_resolution,[status(thm)],[14974, 1748, 14818])).
% 49.06/32.19 tff(14976,plain,
% 49.06/32.19 (((~![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))) | v26(constB99) | (~v130(constB99, bitIndex0)) | v127(constB99, bitIndex0))),
% 49.06/32.19 inference(rewrite,[status(thm)],[])).
% 49.06/32.19 tff(14977,plain,
% 49.06/32.19 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB99) | (~v130(constB99, bitIndex0)) | v127(constB99, bitIndex0))),
% 49.06/32.19 inference(quant_inst,[status(thm)],[])).
% 49.06/32.19 tff(14978,plain,
% 49.06/32.19 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB99) | (~v130(constB99, bitIndex0)) | v127(constB99, bitIndex0)),
% 49.06/32.19 inference(modus_ponens,[status(thm)],[14977, 14976])).
% 49.06/32.19 tff(14979,plain,
% 49.06/32.19 ((~v130(constB99, bitIndex0)) | v127(constB99, bitIndex0)),
% 49.06/32.19 inference(unit_resolution,[status(thm)],[14978, 926, 14842])).
% 49.06/32.19 tff(14980,plain,
% 49.06/32.19 (v127(constB99, bitIndex0)),
% 49.06/32.19 inference(unit_resolution,[status(thm)],[14979, 14975])).
% 49.06/32.19 tff(14981,plain,
% 49.06/32.19 (((~![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))),
% 49.06/32.19 inference(rewrite,[status(thm)],[])).
% 49.06/32.19 tff(14982,plain,
% 49.06/32.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB99, constB100)) | (~v127(constB99, bitIndex0)) | v129(constB100, bitIndex0))),
% 49.06/32.19 inference(quant_inst,[status(thm)],[])).
% 49.06/32.19 tff(14983,plain,
% 49.06/32.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB99, constB100)) | (~v127(constB99, bitIndex0)) | v129(constB100, bitIndex0)),
% 49.06/32.19 inference(modus_ponens,[status(thm)],[14982, 14981])).
% 49.06/32.19 tff(14984,plain,
% 49.06/32.19 ((~v127(constB99, bitIndex0)) | v129(constB100, bitIndex0)),
% 49.06/32.19 inference(unit_resolution,[status(thm)],[14983, 944, 14854])).
% 49.06/32.19 tff(14985,plain,
% 49.06/32.19 (v129(constB100, bitIndex0)),
% 49.06/32.19 inference(unit_resolution,[status(thm)],[14984, 14980])).
% 49.06/32.19 tff(14986,plain,
% 49.06/32.19 (((~![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)))),
% 49.06/32.19 inference(rewrite,[status(thm)],[])).
% 49.06/32.19 tff(14987,plain,
% 49.06/32.19 ((v90(constB100, bitIndex0) | (~v100(constB100)) | (~v129(constB100, bitIndex0))) <=> (v90(constB100, bitIndex0) | (~v129(constB100, bitIndex0)) | (~v100(constB100)))),
% 49.06/32.19 inference(rewrite,[status(thm)],[])).
% 49.06/32.19 tff(14988,plain,
% 49.06/32.19 (((~![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))))),
% 49.06/32.19 inference(monotonicity,[status(thm)],[14987])).
% 49.06/32.19 tff(14989,plain,
% 49.06/32.19 (((~![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)))),
% 49.06/32.19 inference(transitivity,[status(thm)],[14988, 14986])).
% 49.06/32.19 tff(14990,plain,
% 49.06/32.19 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB100, bitIndex0) | (~v100(constB100)) | (~v129(constB100, bitIndex0)))),
% 49.06/32.19 inference(quant_inst,[status(thm)],[])).
% 49.06/32.19 tff(14991,plain,
% 49.06/32.19 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB100, bitIndex0) | (~v129(constB100, bitIndex0)) | (~v100(constB100))),
% 49.06/32.19 inference(modus_ponens,[status(thm)],[14990, 14989])).
% 49.06/32.19 tff(14992,plain,
% 49.06/32.19 (v90(constB100, bitIndex0) | (~v100(constB100))),
% 49.06/32.19 inference(unit_resolution,[status(thm)],[14991, 1088, 14985])).
% 49.06/32.19 tff(14993,plain,
% 49.06/32.19 (v90(constB100, bitIndex0)),
% 49.06/32.19 inference(unit_resolution,[status(thm)],[14992, 14888])).
% 49.06/32.19 tff(14994,plain,
% 49.06/32.19 (((~![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))),
% 49.06/32.19 inference(rewrite,[status(thm)],[])).
% 49.06/32.19 tff(14995,plain,
% 49.06/32.19 (((~nextState(constB100, constB101)) | (~v90(constB100, bitIndex0)) | v100(constB101) | v90(constB101, bitIndex0)) <=> ((~v90(constB100, bitIndex0)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, bitIndex0))),
% 49.06/32.19 inference(rewrite,[status(thm)],[])).
% 49.06/32.19 tff(14996,plain,
% 49.06/32.19 (((~![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)))),
% 49.06/32.19 inference(monotonicity,[status(thm)],[14995])).
% 49.06/32.19 tff(14997,plain,
% 49.06/32.19 (((~![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))),
% 49.06/32.19 inference(transitivity,[status(thm)],[14996, 14994])).
% 49.06/32.19 tff(14998,plain,
% 49.06/32.19 ((~![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))),
% 49.06/32.19 inference(quant_inst,[status(thm)],[])).
% 49.06/32.19 tff(14999,plain,
% 49.06/32.19 ((~![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)),
% 49.06/32.19 inference(modus_ponens,[status(thm)],[14998, 14997])).
% 49.06/32.19 tff(15000,plain,
% 49.06/32.19 ((~v90(constB100, bitIndex0)) | v100(constB101) | v90(constB101, bitIndex0)),
% 49.06/32.19 inference(unit_resolution,[status(thm)],[14999, 1124, 14919])).
% 49.06/32.19 tff(15001,plain,
% 49.06/32.19 ((~v90(constB100, bitIndex0)) | v90(constB101, bitIndex0)),
% 49.06/32.19 inference(unit_resolution,[status(thm)],[15000, 14931])).
% 49.06/32.19 tff(15002,plain,
% 49.06/32.19 (v90(constB101, bitIndex0)),
% 49.06/32.19 inference(unit_resolution,[status(thm)],[15001, 14993])).
% 49.06/32.19 tff(15003,plain,
% 49.06/32.19 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB101, bitIndex0)) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex2) | v122(constB101))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB101, bitIndex0)) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex2) | v122(constB101))),
% 49.06/32.20 inference(rewrite,[status(thm)],[])).
% 49.06/32.20 tff(15004,plain,
% 49.06/32.20 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB101, bitIndex0)) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex2) | v122(constB101))),
% 49.06/32.20 inference(quant_inst,[status(thm)],[])).
% 49.06/32.20 tff(15005,plain,
% 49.06/32.20 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB101, bitIndex0)) | (~v90(constB101, bitIndex1)) | v90(constB101, bitIndex2) | v122(constB101)),
% 49.06/32.20 inference(modus_ponens,[status(thm)],[15004, 15003])).
% 49.06/32.20 tff(15006,plain,
% 49.06/32.20 (v122(constB101)),
% 49.06/32.20 inference(unit_resolution,[status(thm)],[15005, 1789, 15002, 14971, 14940])).
% 49.06/32.20 tff(15007,plain,
% 49.06/32.20 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB101) | (~v122(constB101)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB101) | (~v122(constB101)))),
% 49.06/32.20 inference(rewrite,[status(thm)],[])).
% 49.06/32.20 tff(15008,plain,
% 49.06/32.20 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB101) | (~v122(constB101)))),
% 49.06/32.20 inference(quant_inst,[status(thm)],[])).
% 49.06/32.20 tff(15009,plain,
% 49.06/32.20 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB101) | (~v122(constB101))),
% 49.06/32.20 inference(modus_ponens,[status(thm)],[15008, 15007])).
% 49.06/32.20 tff(15010,plain,
% 49.06/32.20 (v116(constB101)),
% 49.06/32.20 inference(unit_resolution,[status(thm)],[15009, 1800, 15006])).
% 49.06/32.20 tff(15011,plain,
% 49.06/32.20 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB101) | (~v116(constB101)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB101) | (~v116(constB101)))),
% 49.06/32.20 inference(rewrite,[status(thm)],[])).
% 49.06/32.20 tff(15012,plain,
% 49.06/32.20 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB101) | (~v116(constB101)))),
% 49.06/32.20 inference(quant_inst,[status(thm)],[])).
% 49.06/32.20 tff(15013,plain,
% 49.06/32.20 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB101) | (~v116(constB101))),
% 49.06/32.20 inference(modus_ponens,[status(thm)],[15012, 15011])).
% 49.06/32.20 tff(15014,plain,
% 49.06/32.20 (v115(constB101)),
% 49.06/32.20 inference(unit_resolution,[status(thm)],[15013, 188, 15010])).
% 49.06/32.20 tff(15015,plain,
% 49.06/32.20 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB101) | (~v115(constB101)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB101) | (~v115(constB101)))),
% 49.06/32.20 inference(rewrite,[status(thm)],[])).
% 49.06/32.20 tff(15016,plain,
% 49.06/32.20 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB101) | (~v115(constB101)))),
% 49.06/32.20 inference(quant_inst,[status(thm)],[])).
% 49.06/32.20 tff(15017,plain,
% 49.06/32.20 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB101) | (~v115(constB101))),
% 49.06/32.20 inference(modus_ponens,[status(thm)],[15016, 15015])).
% 49.06/32.20 tff(15018,plain,
% 49.06/32.20 (v114(constB101)),
% 49.06/32.20 inference(unit_resolution,[status(thm)],[15017, 199, 15014])).
% 49.06/32.20 tff(15019,plain,
% 49.06/32.20 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB101) | (~v114(constB101)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB101) | (~v114(constB101)))),
% 49.06/32.20 inference(rewrite,[status(thm)],[])).
% 49.06/32.20 tff(15020,plain,
% 49.06/32.20 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB101) | (~v114(constB101)))),
% 49.06/32.20 inference(quant_inst,[status(thm)],[])).
% 49.06/32.20 tff(15021,plain,
% 49.06/32.20 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB101) | (~v114(constB101))),
% 49.06/32.20 inference(modus_ponens,[status(thm)],[15020, 15019])).
% 49.06/32.20 tff(15022,plain,
% 49.06/32.20 (v113(constB101)),
% 49.06/32.20 inference(unit_resolution,[status(thm)],[15021, 210, 15018])).
% 49.06/32.20 tff(15023,assumption,(v26(constB100)), introduced(assumption)).
% 49.06/32.20 tff(15024,plain,
% 49.06/32.20 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB100))),
% 49.06/32.20 inference(quant_inst,[status(thm)],[])).
% 49.06/32.20 tff(15025,plain,
% 49.06/32.20 ($false),
% 49.06/32.20 inference(unit_resolution,[status(thm)],[15024, 16, 15023])).
% 49.06/32.20 tff(15026,plain,(~v26(constB100)), inference(lemma,lemma(discharge,[]))).
% 49.06/32.20 tff(15027,plain,
% 49.06/32.20 (^[VarNext: $i, VarCurr: $i] : refl((v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))) <=> (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))))),
% 49.06/32.20 inference(bind,[status(th)],[])).
% 49.06/32.20 tff(15028,plain,
% 49.06/32.20 (![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 49.06/32.20 inference(quant_intro,[status(thm)],[15027])).
% 49.06/32.20 tff(15029,plain,
% 49.06/32.20 (![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 49.06/32.20 inference(rewrite,[status(thm)],[])).
% 49.06/32.20 tff(15030,plain,
% 49.06/32.20 (^[VarNext: $i, VarCurr: $i] : rewrite(((v26(VarCurr) | (~v66(VarNext))) | (~nextState(VarCurr, VarNext))) <=> (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))))),
% 49.06/32.20 inference(bind,[status(th)],[])).
% 49.06/32.20 tff(15031,plain,
% 49.06/32.20 (![VarNext: $i, VarCurr: $i] : ((v26(VarCurr) | (~v66(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 49.06/32.20 inference(quant_intro,[status(thm)],[15030])).
% 49.06/32.20 tff(15032,axiom,(![VarNext: $i, VarCurr: $i] : ((v26(VarCurr) | (~v66(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_4_1_2')).
% 49.06/32.20 tff(15033,plain,
% 49.06/32.20 (![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 49.06/32.20 inference(modus_ponens,[status(thm)],[15032, 15031])).
% 49.06/32.20 tff(15034,plain,
% 49.06/32.20 (![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 49.06/32.20 inference(modus_ponens,[status(thm)],[15033, 15029])).
% 49.06/32.20 tff(15035,plain,(
% 49.06/32.20 ![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 49.06/32.20 inference(skolemize,[status(sab)],[15034])).
% 49.06/32.20 tff(15036,plain,
% 49.06/32.20 (![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 49.06/32.20 inference(modus_ponens,[status(thm)],[15035, 15028])).
% 49.06/32.20 tff(15037,plain,
% 49.06/32.20 (((~![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)))),
% 49.06/32.20 inference(rewrite,[status(thm)],[])).
% 49.06/32.20 tff(15038,plain,
% 49.06/32.20 ((v26(constB100) | (~nextState(constB100, constB101)) | (~v66(constB101))) <=> ((~nextState(constB100, constB101)) | v26(constB100) | (~v66(constB101)))),
% 49.06/32.20 inference(rewrite,[status(thm)],[])).
% 49.06/32.20 tff(15039,plain,
% 49.06/32.20 (((~![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))))),
% 49.06/32.20 inference(monotonicity,[status(thm)],[15038])).
% 49.06/32.20 tff(15040,plain,
% 49.06/32.20 (((~![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)))),
% 49.06/32.20 inference(transitivity,[status(thm)],[15039, 15037])).
% 49.06/32.20 tff(15041,plain,
% 49.06/32.20 ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB100) | (~nextState(constB100, constB101)) | (~v66(constB101)))),
% 49.06/32.20 inference(quant_inst,[status(thm)],[])).
% 49.06/32.20 tff(15042,plain,
% 49.06/32.20 ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB100, constB101)) | v26(constB100) | (~v66(constB101))),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15041, 15040])).
% 49.15/32.20 tff(15043,plain,
% 49.15/32.20 (v26(constB100) | (~v66(constB101))),
% 49.15/32.20 inference(unit_resolution,[status(thm)],[15042, 15036, 14919])).
% 49.15/32.20 tff(15044,plain,
% 49.15/32.20 (~v66(constB101)),
% 49.15/32.20 inference(unit_resolution,[status(thm)],[15043, 15026])).
% 49.15/32.20 tff(15045,assumption,(v18(constB102)), introduced(assumption)).
% 49.15/32.20 tff(15046,plain,
% 49.15/32.20 (^[VarCurr: $i] : refl((~v18(VarCurr)) <=> (~v18(VarCurr)))),
% 49.15/32.20 inference(bind,[status(th)],[])).
% 49.15/32.20 tff(15047,plain,
% 49.15/32.20 (![VarCurr: $i] : (~v18(VarCurr)) <=> ![VarCurr: $i] : (~v18(VarCurr))),
% 49.15/32.20 inference(quant_intro,[status(thm)],[15046])).
% 49.15/32.20 tff(15048,plain,
% 49.15/32.20 (![VarCurr: $i] : (~v18(VarCurr)) <=> ![VarCurr: $i] : (~v18(VarCurr))),
% 49.15/32.20 inference(rewrite,[status(thm)],[])).
% 49.15/32.20 tff(15049,axiom,(![VarCurr: $i] : (~v18(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addGlobalAssumption_3_1_1')).
% 49.15/32.20 tff(15050,plain,
% 49.15/32.20 (![VarCurr: $i] : (~v18(VarCurr))),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15049, 15048])).
% 49.15/32.20 tff(15051,plain,(
% 49.15/32.20 ![VarCurr: $i] : (~v18(VarCurr))),
% 49.15/32.20 inference(skolemize,[status(sab)],[15050])).
% 49.15/32.20 tff(15052,plain,
% 49.15/32.20 (![VarCurr: $i] : (~v18(VarCurr))),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15051, 15047])).
% 49.15/32.20 tff(15053,plain,
% 49.15/32.20 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB102))),
% 49.15/32.20 inference(quant_inst,[status(thm)],[])).
% 49.15/32.20 tff(15054,plain,
% 49.15/32.20 ($false),
% 49.15/32.20 inference(unit_resolution,[status(thm)],[15053, 15052, 15045])).
% 49.15/32.20 tff(15055,plain,(~v18(constB102)), inference(lemma,lemma(discharge,[]))).
% 49.15/32.20 tff(15056,plain,
% 49.15/32.20 (v1(constB102) <=> v1(constB102)),
% 49.15/32.20 inference(rewrite,[status(thm)],[])).
% 49.15/32.20 tff(15057,axiom,(v1(constB102)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_102_1')).
% 49.15/32.20 tff(15058,plain,
% 49.15/32.20 (v1(constB102)),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15057, 15056])).
% 49.15/32.20 tff(15059,plain,
% 49.15/32.20 (^[VarCurr: $i] : refl((v22(VarCurr) | (~v1(VarCurr))) <=> (v22(VarCurr) | (~v1(VarCurr))))),
% 49.15/32.20 inference(bind,[status(th)],[])).
% 49.15/32.20 tff(15060,plain,
% 49.15/32.20 (![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr))) <=> ![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))),
% 49.15/32.20 inference(quant_intro,[status(thm)],[15059])).
% 49.15/32.20 tff(15061,plain,
% 49.15/32.20 (![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr))) <=> ![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))),
% 49.15/32.20 inference(rewrite,[status(thm)],[])).
% 49.15/32.20 tff(15062,axiom,(![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_1_1_1_1_1')).
% 49.15/32.20 tff(15063,plain,
% 49.15/32.20 (![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15062, 15061])).
% 49.15/32.20 tff(15064,plain,(
% 49.15/32.20 ![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))),
% 49.15/32.20 inference(skolemize,[status(sab)],[15063])).
% 49.15/32.20 tff(15065,plain,
% 49.15/32.20 (![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15064, 15060])).
% 49.15/32.20 tff(15066,plain,
% 49.15/32.20 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB102) | (~v1(constB102)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB102) | (~v1(constB102)))),
% 49.15/32.20 inference(rewrite,[status(thm)],[])).
% 49.15/32.20 tff(15067,plain,
% 49.15/32.20 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB102) | (~v1(constB102)))),
% 49.15/32.20 inference(quant_inst,[status(thm)],[])).
% 49.15/32.20 tff(15068,plain,
% 49.15/32.20 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB102) | (~v1(constB102))),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15067, 15066])).
% 49.15/32.20 tff(15069,plain,
% 49.15/32.20 (v22(constB102)),
% 49.15/32.20 inference(unit_resolution,[status(thm)],[15068, 15065, 15058])).
% 49.15/32.20 tff(15070,plain,
% 49.15/32.20 (^[VarCurr: $i] : refl(((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr)) <=> ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr)))),
% 49.15/32.20 inference(bind,[status(th)],[])).
% 49.15/32.20 tff(15071,plain,
% 49.15/32.20 (![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr)) <=> ![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 49.15/32.20 inference(quant_intro,[status(thm)],[15070])).
% 49.15/32.20 tff(15072,plain,
% 49.15/32.20 (![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr)) <=> ![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 49.15/32.20 inference(rewrite,[status(thm)],[])).
% 49.15/32.20 tff(15073,plain,
% 49.15/32.20 (^[VarCurr: $i] : rewrite(((v18(VarCurr) | (~v22(VarCurr))) | (~v19(VarCurr))) <=> ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr)))),
% 49.15/32.20 inference(bind,[status(th)],[])).
% 49.15/32.20 tff(15074,plain,
% 49.15/32.20 (![VarCurr: $i] : ((v18(VarCurr) | (~v22(VarCurr))) | (~v19(VarCurr))) <=> ![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 49.15/32.20 inference(quant_intro,[status(thm)],[15073])).
% 49.15/32.20 tff(15075,axiom,(![VarCurr: $i] : ((v18(VarCurr) | (~v22(VarCurr))) | (~v19(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_2_1_1_1')).
% 49.15/32.20 tff(15076,plain,
% 49.15/32.20 (![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15075, 15074])).
% 49.15/32.20 tff(15077,plain,
% 49.15/32.20 (![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15076, 15072])).
% 49.15/32.20 tff(15078,plain,(
% 49.15/32.20 ![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 49.15/32.20 inference(skolemize,[status(sab)],[15077])).
% 49.15/32.20 tff(15079,plain,
% 49.15/32.20 (![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15078, 15071])).
% 49.15/32.20 tff(15080,plain,
% 49.15/32.20 (((~![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))),
% 49.15/32.20 inference(rewrite,[status(thm)],[])).
% 49.15/32.20 tff(15081,plain,
% 49.15/32.20 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB102)) | (~v22(constB102)) | v18(constB102))),
% 49.15/32.20 inference(quant_inst,[status(thm)],[])).
% 49.15/32.20 tff(15082,plain,
% 49.15/32.20 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB102)) | (~v22(constB102)) | v18(constB102)),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15081, 15080])).
% 49.15/32.20 tff(15083,plain,
% 49.15/32.20 ((~v19(constB102)) | v18(constB102)),
% 49.15/32.20 inference(unit_resolution,[status(thm)],[15082, 15079, 15069])).
% 49.15/32.20 tff(15084,plain,
% 49.15/32.20 (~v19(constB102)),
% 49.15/32.20 inference(unit_resolution,[status(thm)],[15083, 15055])).
% 49.15/32.20 tff(15085,plain,
% 49.15/32.20 (^[VarCurr: $i] : refl((v13(VarCurr) | v19(VarCurr)) <=> (v13(VarCurr) | v19(VarCurr)))),
% 49.15/32.20 inference(bind,[status(th)],[])).
% 49.15/32.20 tff(15086,plain,
% 49.15/32.20 (![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr)) <=> ![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 49.15/32.20 inference(quant_intro,[status(thm)],[15085])).
% 49.15/32.20 tff(15087,plain,
% 49.15/32.20 (![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr)) <=> ![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 49.15/32.20 inference(rewrite,[status(thm)],[])).
% 49.15/32.20 tff(15088,plain,
% 49.15/32.20 (^[VarCurr: $i] : rewrite((v19(VarCurr) | v13(VarCurr)) <=> (v13(VarCurr) | v19(VarCurr)))),
% 49.15/32.20 inference(bind,[status(th)],[])).
% 49.15/32.20 tff(15089,plain,
% 49.15/32.20 (![VarCurr: $i] : (v19(VarCurr) | v13(VarCurr)) <=> ![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 49.15/32.20 inference(quant_intro,[status(thm)],[15088])).
% 49.15/32.20 tff(15090,axiom,(![VarCurr: $i] : (v19(VarCurr) | v13(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_82_1_1_2')).
% 49.15/32.20 tff(15091,plain,
% 49.15/32.20 (![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15090, 15089])).
% 49.15/32.20 tff(15092,plain,
% 49.15/32.20 (![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15091, 15087])).
% 49.15/32.20 tff(15093,plain,(
% 49.15/32.20 ![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 49.15/32.20 inference(skolemize,[status(sab)],[15092])).
% 49.15/32.20 tff(15094,plain,
% 49.15/32.20 (![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15093, 15086])).
% 49.15/32.20 tff(15095,plain,
% 49.15/32.20 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB102) | v19(constB102))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB102) | v19(constB102))),
% 49.15/32.20 inference(rewrite,[status(thm)],[])).
% 49.15/32.20 tff(15096,plain,
% 49.15/32.20 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB102) | v19(constB102))),
% 49.15/32.20 inference(quant_inst,[status(thm)],[])).
% 49.15/32.20 tff(15097,plain,
% 49.15/32.20 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB102) | v19(constB102)),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15096, 15095])).
% 49.15/32.20 tff(15098,plain,
% 49.15/32.20 (v13(constB102)),
% 49.15/32.20 inference(unit_resolution,[status(thm)],[15097, 15094, 15084])).
% 49.15/32.20 tff(15099,plain,
% 49.15/32.20 (nextState(constB101, constB102) <=> nextState(constB101, constB102)),
% 49.15/32.20 inference(rewrite,[status(thm)],[])).
% 49.15/32.20 tff(15100,axiom,(nextState(constB101, constB102)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_101_1')).
% 49.15/32.20 tff(15101,plain,
% 49.15/32.20 (nextState(constB101, constB102)),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15100, 15099])).
% 49.15/32.20 tff(15102,plain,
% 49.15/32.20 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr)))),
% 49.15/32.20 inference(bind,[status(th)],[])).
% 49.15/32.20 tff(15103,plain,
% 49.15/32.20 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 49.15/32.20 inference(quant_intro,[status(thm)],[15102])).
% 49.15/32.20 tff(15104,plain,
% 49.15/32.20 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 49.15/32.20 inference(rewrite,[status(thm)],[])).
% 49.15/32.20 tff(15105,plain,
% 49.15/32.20 (^[VarNext: $i, VarCurr: $i] : rewrite(((v9(VarCurr) | (~v13(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr)))),
% 49.15/32.20 inference(bind,[status(th)],[])).
% 49.15/32.20 tff(15106,plain,
% 49.15/32.20 (![VarNext: $i, VarCurr: $i] : ((v9(VarCurr) | (~v13(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 49.15/32.20 inference(quant_intro,[status(thm)],[15105])).
% 49.15/32.20 tff(15107,axiom,(![VarNext: $i, VarCurr: $i] : ((v9(VarCurr) | (~v13(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_20_2')).
% 49.15/32.20 tff(15108,plain,
% 49.15/32.20 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15107, 15106])).
% 49.15/32.20 tff(15109,plain,
% 49.15/32.20 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15108, 15104])).
% 49.15/32.20 tff(15110,plain,(
% 49.15/32.20 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 49.15/32.20 inference(skolemize,[status(sab)],[15109])).
% 49.15/32.20 tff(15111,plain,
% 49.15/32.20 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15110, 15103])).
% 49.15/32.20 tff(15112,plain,
% 49.15/32.20 (((~![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))),
% 49.15/32.20 inference(rewrite,[status(thm)],[])).
% 49.15/32.20 tff(15113,plain,
% 49.15/32.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB101, constB102)) | (~v13(constB102)) | v9(constB101))),
% 49.15/32.20 inference(quant_inst,[status(thm)],[])).
% 49.15/32.20 tff(15114,plain,
% 49.15/32.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB101, constB102)) | (~v13(constB102)) | v9(constB101)),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15113, 15112])).
% 49.15/32.20 tff(15115,plain,
% 49.15/32.20 ((~v13(constB102)) | v9(constB101)),
% 49.15/32.20 inference(unit_resolution,[status(thm)],[15114, 15111, 15101])).
% 49.15/32.20 tff(15116,plain,
% 49.15/32.20 (v9(constB101)),
% 49.15/32.20 inference(unit_resolution,[status(thm)],[15115, 15098])).
% 49.15/32.20 tff(15117,plain,
% 49.15/32.20 (^[VarCurr: $i] : refl((v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)))),
% 49.15/32.20 inference(bind,[status(th)],[])).
% 49.15/32.20 tff(15118,plain,
% 49.15/32.20 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 49.15/32.20 inference(quant_intro,[status(thm)],[15117])).
% 49.15/32.20 tff(15119,plain,
% 49.15/32.20 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 49.15/32.20 inference(rewrite,[status(thm)],[])).
% 49.15/32.20 tff(15120,plain,
% 49.15/32.20 (^[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))))),
% 49.15/32.20 inference(bind,[status(th)],[])).
% 49.15/32.20 tff(15121,plain,
% 49.15/32.20 (![VarCurr: $i] : ((v64(VarCurr) | v1(VarCurr)) | (~v9(VarCurr))) <=> ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 49.15/32.20 inference(quant_intro,[status(thm)],[15120])).
% 49.15/32.20 tff(15122,axiom,(![VarCurr: $i] : ((v64(VarCurr) | v1(VarCurr)) | (~v9(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_11_1_2')).
% 49.15/32.20 tff(15123,plain,
% 49.15/32.20 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15122, 15121])).
% 49.15/32.20 tff(15124,plain,
% 49.15/32.20 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15123, 15119])).
% 49.15/32.20 tff(15125,plain,(
% 49.15/32.20 ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 49.15/32.20 inference(skolemize,[status(sab)],[15124])).
% 49.15/32.20 tff(15126,plain,
% 49.15/32.20 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15125, 15118])).
% 49.15/32.20 tff(15127,plain,
% 49.15/32.20 (((~![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)))),
% 49.15/32.20 inference(rewrite,[status(thm)],[])).
% 49.15/32.20 tff(15128,plain,
% 49.15/32.20 ((v1(constB101) | (~v9(constB101)) | v64(constB101)) <=> (v1(constB101) | v64(constB101) | (~v9(constB101)))),
% 49.15/32.20 inference(rewrite,[status(thm)],[])).
% 49.15/32.20 tff(15129,plain,
% 49.15/32.20 (((~![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))))),
% 49.15/32.20 inference(monotonicity,[status(thm)],[15128])).
% 49.15/32.20 tff(15130,plain,
% 49.15/32.20 (((~![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)))),
% 49.15/32.20 inference(transitivity,[status(thm)],[15129, 15127])).
% 49.15/32.20 tff(15131,plain,
% 49.15/32.20 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB101) | (~v9(constB101)) | v64(constB101))),
% 49.15/32.20 inference(quant_inst,[status(thm)],[])).
% 49.15/32.20 tff(15132,plain,
% 49.15/32.20 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB101) | v64(constB101) | (~v9(constB101))),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15131, 15130])).
% 49.15/32.20 tff(15133,plain,
% 49.15/32.20 (v64(constB101) | (~v9(constB101))),
% 49.15/32.20 inference(unit_resolution,[status(thm)],[15132, 15126, 14916])).
% 49.15/32.20 tff(15134,plain,
% 49.15/32.20 (v64(constB101)),
% 49.15/32.20 inference(unit_resolution,[status(thm)],[15133, 15116])).
% 49.15/32.20 tff(15135,plain,
% 49.15/32.20 (^[VarNext: $i] : refl(((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext)) <=> ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext)))),
% 49.15/32.20 inference(bind,[status(th)],[])).
% 49.15/32.20 tff(15136,plain,
% 49.15/32.20 (![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext)) <=> ![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 49.15/32.20 inference(quant_intro,[status(thm)],[15135])).
% 49.15/32.20 tff(15137,plain,
% 49.15/32.20 (![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext)) <=> ![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 49.15/32.20 inference(rewrite,[status(thm)],[])).
% 49.15/32.20 tff(15138,plain,
% 49.15/32.20 (^[VarNext: $i] : rewrite(((v66(VarNext) | (~v60(VarNext))) | (~v64(VarNext))) <=> ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext)))),
% 49.15/32.20 inference(bind,[status(th)],[])).
% 49.15/32.20 tff(15139,plain,
% 49.15/32.20 (![VarNext: $i] : ((v66(VarNext) | (~v60(VarNext))) | (~v64(VarNext))) <=> ![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 49.15/32.20 inference(quant_intro,[status(thm)],[15138])).
% 49.15/32.20 tff(15140,axiom,(![VarNext: $i] : ((v66(VarNext) | (~v60(VarNext))) | (~v64(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_3_1_2')).
% 49.15/32.20 tff(15141,plain,
% 49.15/32.20 (![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15140, 15139])).
% 49.15/32.20 tff(15142,plain,
% 49.15/32.20 (![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15141, 15137])).
% 49.15/32.20 tff(15143,plain,(
% 49.15/32.20 ![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 49.15/32.20 inference(skolemize,[status(sab)],[15142])).
% 49.15/32.20 tff(15144,plain,
% 49.15/32.20 (![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15143, 15136])).
% 49.15/32.20 tff(15145,plain,
% 49.15/32.20 (((~![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)))),
% 49.15/32.20 inference(rewrite,[status(thm)],[])).
% 49.15/32.20 tff(15146,plain,
% 49.15/32.20 (((~v64(constB101)) | (~v60(constB101)) | v66(constB101)) <=> ((~v60(constB101)) | v66(constB101) | (~v64(constB101)))),
% 49.15/32.20 inference(rewrite,[status(thm)],[])).
% 49.15/32.20 tff(15147,plain,
% 49.15/32.20 (((~![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))))),
% 49.15/32.20 inference(monotonicity,[status(thm)],[15146])).
% 49.15/32.20 tff(15148,plain,
% 49.15/32.20 (((~![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)))),
% 49.15/32.20 inference(transitivity,[status(thm)],[15147, 15145])).
% 49.15/32.20 tff(15149,plain,
% 49.15/32.20 ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v64(constB101)) | (~v60(constB101)) | v66(constB101))),
% 49.15/32.20 inference(quant_inst,[status(thm)],[])).
% 49.15/32.20 tff(15150,plain,
% 49.15/32.20 ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | (~v60(constB101)) | v66(constB101) | (~v64(constB101))),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15149, 15148])).
% 49.15/32.20 tff(15151,plain,
% 49.15/32.20 ((~v60(constB101)) | v66(constB101)),
% 49.15/32.20 inference(unit_resolution,[status(thm)],[15150, 15144, 15134])).
% 49.15/32.20 tff(15152,plain,
% 49.15/32.20 (~v60(constB101)),
% 49.15/32.20 inference(unit_resolution,[status(thm)],[15151, 15044])).
% 49.15/32.20 tff(15153,assumption,(v71(constB101)), introduced(assumption)).
% 49.15/32.20 tff(15154,plain,
% 49.15/32.20 (^[VarCurr: $i] : refl((~v71(VarCurr)) <=> (~v71(VarCurr)))),
% 49.15/32.20 inference(bind,[status(th)],[])).
% 49.15/32.20 tff(15155,plain,
% 49.15/32.20 (![VarCurr: $i] : (~v71(VarCurr)) <=> ![VarCurr: $i] : (~v71(VarCurr))),
% 49.15/32.20 inference(quant_intro,[status(thm)],[15154])).
% 49.15/32.20 tff(15156,plain,
% 49.15/32.20 (![VarCurr: $i] : (~v71(VarCurr)) <=> ![VarCurr: $i] : (~v71(VarCurr))),
% 49.15/32.20 inference(rewrite,[status(thm)],[])).
% 49.15/32.20 tff(15157,axiom,(![VarCurr: $i] : (~v71(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addGlobalAssumption_1_1_1_1')).
% 49.15/32.20 tff(15158,plain,
% 49.15/32.20 (![VarCurr: $i] : (~v71(VarCurr))),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15157, 15156])).
% 49.15/32.20 tff(15159,plain,(
% 49.15/32.20 ![VarCurr: $i] : (~v71(VarCurr))),
% 49.15/32.20 inference(skolemize,[status(sab)],[15158])).
% 49.15/32.20 tff(15160,plain,
% 49.15/32.20 (![VarCurr: $i] : (~v71(VarCurr))),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15159, 15155])).
% 49.15/32.20 tff(15161,plain,
% 49.15/32.20 ((~![VarCurr: $i] : (~v71(VarCurr))) | (~v71(constB101))),
% 49.15/32.20 inference(quant_inst,[status(thm)],[])).
% 49.15/32.20 tff(15162,plain,
% 49.15/32.20 ($false),
% 49.15/32.20 inference(unit_resolution,[status(thm)],[15161, 15160, 15153])).
% 49.15/32.20 tff(15163,plain,(~v71(constB101)), inference(lemma,lemma(discharge,[]))).
% 49.15/32.20 tff(15164,plain,
% 49.15/32.20 (^[VarCurr: $i] : refl((v80(VarCurr) | (~v9(VarCurr))) <=> (v80(VarCurr) | (~v9(VarCurr))))),
% 49.15/32.20 inference(bind,[status(th)],[])).
% 49.15/32.20 tff(15165,plain,
% 49.15/32.20 (![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr))) <=> ![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))),
% 49.15/32.20 inference(quant_intro,[status(thm)],[15164])).
% 49.15/32.20 tff(15166,plain,
% 49.15/32.20 (![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr))) <=> ![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))),
% 49.15/32.20 inference(rewrite,[status(thm)],[])).
% 49.15/32.20 tff(15167,axiom,(![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_15_1_1_1_2')).
% 49.15/32.20 tff(15168,plain,
% 49.15/32.20 (![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15167, 15166])).
% 49.15/32.20 tff(15169,plain,(
% 49.15/32.20 ![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))),
% 49.15/32.20 inference(skolemize,[status(sab)],[15168])).
% 49.15/32.20 tff(15170,plain,
% 49.15/32.20 (![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15169, 15165])).
% 49.15/32.20 tff(15171,plain,
% 49.15/32.20 (((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | (v80(constB101) | (~v9(constB101)))) <=> ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | v80(constB101) | (~v9(constB101)))),
% 49.15/32.20 inference(rewrite,[status(thm)],[])).
% 49.15/32.20 tff(15172,plain,
% 49.15/32.20 ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | (v80(constB101) | (~v9(constB101)))),
% 49.15/32.20 inference(quant_inst,[status(thm)],[])).
% 49.15/32.20 tff(15173,plain,
% 49.15/32.20 ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | v80(constB101) | (~v9(constB101))),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15172, 15171])).
% 49.15/32.20 tff(15174,plain,
% 49.15/32.20 (v80(constB101)),
% 49.15/32.20 inference(unit_resolution,[status(thm)],[15173, 15170, 15116])).
% 49.15/32.20 tff(15175,plain,
% 49.15/32.20 (^[VarCurr: $i] : refl((v1(VarCurr) | v78(VarCurr)) <=> (v1(VarCurr) | v78(VarCurr)))),
% 49.15/32.20 inference(bind,[status(th)],[])).
% 49.15/32.20 tff(15176,plain,
% 49.15/32.20 (![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 49.15/32.20 inference(quant_intro,[status(thm)],[15175])).
% 49.15/32.20 tff(15177,plain,
% 49.15/32.20 (![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 49.15/32.20 inference(rewrite,[status(thm)],[])).
% 49.15/32.20 tff(15178,plain,
% 49.15/32.20 (^[VarCurr: $i] : rewrite((v78(VarCurr) | v1(VarCurr)) <=> (v1(VarCurr) | v78(VarCurr)))),
% 49.15/32.20 inference(bind,[status(th)],[])).
% 49.15/32.20 tff(15179,plain,
% 49.15/32.20 (![VarCurr: $i] : (v78(VarCurr) | v1(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 49.15/32.20 inference(quant_intro,[status(thm)],[15178])).
% 49.15/32.20 tff(15180,axiom,(![VarCurr: $i] : (v78(VarCurr) | v1(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_14_1_1_1_1')).
% 49.15/32.20 tff(15181,plain,
% 49.15/32.20 (![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15180, 15179])).
% 49.15/32.20 tff(15182,plain,
% 49.15/32.20 (![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15181, 15177])).
% 49.15/32.20 tff(15183,plain,(
% 49.15/32.20 ![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 49.15/32.20 inference(skolemize,[status(sab)],[15182])).
% 49.15/32.20 tff(15184,plain,
% 49.15/32.20 (![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15183, 15176])).
% 49.15/32.20 tff(15185,plain,
% 49.15/32.20 (((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB101) | v78(constB101))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | v1(constB101) | v78(constB101))),
% 49.15/32.20 inference(rewrite,[status(thm)],[])).
% 49.15/32.20 tff(15186,plain,
% 49.15/32.20 ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB101) | v78(constB101))),
% 49.15/32.20 inference(quant_inst,[status(thm)],[])).
% 49.15/32.20 tff(15187,plain,
% 49.15/32.20 ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | v1(constB101) | v78(constB101)),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15186, 15185])).
% 49.15/32.20 tff(15188,plain,
% 49.15/32.20 (v78(constB101)),
% 49.15/32.20 inference(unit_resolution,[status(thm)],[15187, 15184, 14916])).
% 49.15/32.20 tff(15189,plain,
% 49.15/32.20 (^[VarCurr: $i] : refl(((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr)) <=> ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr)))),
% 49.15/32.20 inference(bind,[status(th)],[])).
% 49.15/32.20 tff(15190,plain,
% 49.15/32.20 (![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr)) <=> ![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 49.15/32.20 inference(quant_intro,[status(thm)],[15189])).
% 49.15/32.20 tff(15191,plain,
% 49.15/32.20 (![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr)) <=> ![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 49.15/32.20 inference(rewrite,[status(thm)],[])).
% 49.15/32.20 tff(15192,plain,
% 49.15/32.20 (^[VarCurr: $i] : rewrite(((v76(VarCurr) | (~v80(VarCurr))) | (~v78(VarCurr))) <=> ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr)))),
% 49.15/32.20 inference(bind,[status(th)],[])).
% 49.15/32.20 tff(15193,plain,
% 49.15/32.20 (![VarCurr: $i] : ((v76(VarCurr) | (~v80(VarCurr))) | (~v78(VarCurr))) <=> ![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 49.15/32.20 inference(quant_intro,[status(thm)],[15192])).
% 49.15/32.20 tff(15194,axiom,(![VarCurr: $i] : ((v76(VarCurr) | (~v80(VarCurr))) | (~v78(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_16_1_1_1')).
% 49.15/32.20 tff(15195,plain,
% 49.15/32.20 (![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15194, 15193])).
% 49.15/32.20 tff(15196,plain,
% 49.15/32.20 (![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15195, 15191])).
% 49.15/32.20 tff(15197,plain,(
% 49.15/32.20 ![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 49.15/32.20 inference(skolemize,[status(sab)],[15196])).
% 49.15/32.20 tff(15198,plain,
% 49.15/32.20 (![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15197, 15190])).
% 49.15/32.20 tff(15199,plain,
% 49.15/32.20 (((~![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))),
% 49.15/32.20 inference(rewrite,[status(thm)],[])).
% 49.15/32.20 tff(15200,plain,
% 49.15/32.20 ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | ((~v78(constB101)) | (~v80(constB101)) | v76(constB101))),
% 49.15/32.20 inference(quant_inst,[status(thm)],[])).
% 49.15/32.20 tff(15201,plain,
% 49.15/32.20 ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | (~v78(constB101)) | (~v80(constB101)) | v76(constB101)),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15200, 15199])).
% 49.15/32.20 tff(15202,plain,
% 49.15/32.20 ((~v80(constB101)) | v76(constB101)),
% 49.15/32.20 inference(unit_resolution,[status(thm)],[15201, 15198, 15188])).
% 49.15/32.20 tff(15203,plain,
% 49.15/32.20 (v76(constB101)),
% 49.15/32.20 inference(unit_resolution,[status(thm)],[15202, 15174])).
% 49.15/32.20 tff(15204,plain,
% 49.15/32.20 (^[VarCurr: $i] : refl(((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr)) <=> ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr)))),
% 49.15/32.20 inference(bind,[status(th)],[])).
% 49.15/32.20 tff(15205,plain,
% 49.15/32.20 (![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr)) <=> ![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 49.15/32.20 inference(quant_intro,[status(thm)],[15204])).
% 49.15/32.20 tff(15206,plain,
% 49.15/32.20 (![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr)) <=> ![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 49.15/32.20 inference(rewrite,[status(thm)],[])).
% 49.15/32.20 tff(15207,plain,
% 49.15/32.20 (^[VarCurr: $i] : rewrite(((v71(VarCurr) | (~v76(VarCurr))) | (~v72(VarCurr))) <=> ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr)))),
% 49.15/32.20 inference(bind,[status(th)],[])).
% 49.15/32.20 tff(15208,plain,
% 49.15/32.20 (![VarCurr: $i] : ((v71(VarCurr) | (~v76(VarCurr))) | (~v72(VarCurr))) <=> ![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 49.15/32.20 inference(quant_intro,[status(thm)],[15207])).
% 49.15/32.20 tff(15209,axiom,(![VarCurr: $i] : ((v71(VarCurr) | (~v76(VarCurr))) | (~v72(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_17_1_1_1')).
% 49.15/32.20 tff(15210,plain,
% 49.15/32.20 (![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15209, 15208])).
% 49.15/32.20 tff(15211,plain,
% 49.15/32.20 (![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15210, 15206])).
% 49.15/32.20 tff(15212,plain,(
% 49.15/32.20 ![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 49.15/32.20 inference(skolemize,[status(sab)],[15211])).
% 49.15/32.20 tff(15213,plain,
% 49.15/32.20 (![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15212, 15205])).
% 49.15/32.20 tff(15214,plain,
% 49.15/32.20 (((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v76(constB101)) | (~v72(constB101)) | v71(constB101))) <=> ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | (~v76(constB101)) | (~v72(constB101)) | v71(constB101))),
% 49.15/32.20 inference(rewrite,[status(thm)],[])).
% 49.15/32.20 tff(15215,plain,
% 49.15/32.20 (((~v72(constB101)) | (~v76(constB101)) | v71(constB101)) <=> ((~v76(constB101)) | (~v72(constB101)) | v71(constB101))),
% 49.15/32.20 inference(rewrite,[status(thm)],[])).
% 49.15/32.20 tff(15216,plain,
% 49.15/32.20 (((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB101)) | (~v76(constB101)) | v71(constB101))) <=> ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v76(constB101)) | (~v72(constB101)) | v71(constB101)))),
% 49.15/32.20 inference(monotonicity,[status(thm)],[15215])).
% 49.15/32.20 tff(15217,plain,
% 49.15/32.20 (((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB101)) | (~v76(constB101)) | v71(constB101))) <=> ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | (~v76(constB101)) | (~v72(constB101)) | v71(constB101))),
% 49.15/32.20 inference(transitivity,[status(thm)],[15216, 15214])).
% 49.15/32.20 tff(15218,plain,
% 49.15/32.20 ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB101)) | (~v76(constB101)) | v71(constB101))),
% 49.15/32.20 inference(quant_inst,[status(thm)],[])).
% 49.15/32.20 tff(15219,plain,
% 49.15/32.20 ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | (~v76(constB101)) | (~v72(constB101)) | v71(constB101)),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15218, 15217])).
% 49.15/32.20 tff(15220,plain,
% 49.15/32.20 ((~v72(constB101)) | v71(constB101)),
% 49.15/32.20 inference(unit_resolution,[status(thm)],[15219, 15213, 15203])).
% 49.15/32.20 tff(15221,plain,
% 49.15/32.20 (~v72(constB101)),
% 49.15/32.20 inference(unit_resolution,[status(thm)],[15220, 15163])).
% 49.15/32.20 tff(15222,plain,
% 49.15/32.20 (^[VarCurr: $i] : refl((v1(VarCurr) | v72(VarCurr) | v74(VarCurr)) <=> (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)))),
% 49.15/32.20 inference(bind,[status(th)],[])).
% 49.15/32.20 tff(15223,plain,
% 49.15/32.20 (![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 49.15/32.20 inference(quant_intro,[status(thm)],[15222])).
% 49.15/32.20 tff(15224,plain,
% 49.15/32.20 (![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 49.15/32.20 inference(rewrite,[status(thm)],[])).
% 49.15/32.20 tff(15225,plain,
% 49.15/32.20 (^[VarCurr: $i] : rewrite(((v72(VarCurr) | v74(VarCurr)) | v1(VarCurr)) <=> (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)))),
% 49.15/32.20 inference(bind,[status(th)],[])).
% 49.15/32.20 tff(15226,plain,
% 49.15/32.20 (![VarCurr: $i] : ((v72(VarCurr) | v74(VarCurr)) | v1(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 49.15/32.20 inference(quant_intro,[status(thm)],[15225])).
% 49.15/32.20 tff(15227,axiom,(![VarCurr: $i] : ((v72(VarCurr) | v74(VarCurr)) | v1(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_13_1_1_1_1')).
% 49.15/32.20 tff(15228,plain,
% 49.15/32.20 (![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15227, 15226])).
% 49.15/32.20 tff(15229,plain,
% 49.15/32.20 (![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15228, 15224])).
% 49.15/32.20 tff(15230,plain,(
% 49.15/32.20 ![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 49.15/32.20 inference(skolemize,[status(sab)],[15229])).
% 49.15/32.20 tff(15231,plain,
% 49.15/32.20 (![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15230, 15223])).
% 49.15/32.20 tff(15232,plain,
% 49.15/32.20 (((~![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))),
% 49.15/32.20 inference(rewrite,[status(thm)],[])).
% 49.15/32.20 tff(15233,plain,
% 49.15/32.20 ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB101) | v72(constB101) | v74(constB101))),
% 49.15/32.20 inference(quant_inst,[status(thm)],[])).
% 49.15/32.20 tff(15234,plain,
% 49.15/32.20 ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB101) | v72(constB101) | v74(constB101)),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15233, 15232])).
% 49.15/32.20 tff(15235,plain,
% 49.15/32.20 (v72(constB101) | v74(constB101)),
% 49.15/32.20 inference(unit_resolution,[status(thm)],[15234, 15231, 14916])).
% 49.15/32.20 tff(15236,plain,
% 49.15/32.20 (v74(constB101)),
% 49.15/32.20 inference(unit_resolution,[status(thm)],[15235, 15221])).
% 49.15/32.20 tff(15237,plain,
% 49.15/32.20 (^[VarCurr: $i] : refl(((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))) <=> ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))))),
% 49.15/32.20 inference(bind,[status(th)],[])).
% 49.15/32.20 tff(15238,plain,
% 49.15/32.20 (![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 49.15/32.20 inference(quant_intro,[status(thm)],[15237])).
% 49.15/32.20 tff(15239,plain,
% 49.15/32.20 (![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 49.15/32.20 inference(rewrite,[status(thm)],[])).
% 49.15/32.20 tff(15240,plain,
% 49.15/32.20 (^[VarCurr: $i] : rewrite(((v60(VarCurr) | (~v26(VarCurr))) | (~v74(VarCurr))) <=> ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))))),
% 49.15/32.20 inference(bind,[status(th)],[])).
% 49.15/32.20 tff(15241,plain,
% 49.15/32.20 (![VarCurr: $i] : ((v60(VarCurr) | (~v26(VarCurr))) | (~v74(VarCurr))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 49.15/32.20 inference(quant_intro,[status(thm)],[15240])).
% 49.15/32.20 tff(15242,axiom,(![VarCurr: $i] : ((v60(VarCurr) | (~v26(VarCurr))) | (~v74(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_16_1_2')).
% 49.15/32.20 tff(15243,plain,
% 49.15/32.20 (![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15242, 15241])).
% 49.15/32.20 tff(15244,plain,
% 49.15/32.20 (![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15243, 15239])).
% 49.15/32.20 tff(15245,plain,(
% 49.15/32.20 ![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 49.15/32.20 inference(skolemize,[status(sab)],[15244])).
% 49.15/32.20 tff(15246,plain,
% 49.15/32.20 (![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15245, 15238])).
% 49.15/32.20 tff(15247,plain,
% 49.15/32.20 (((~![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)))),
% 49.15/32.20 inference(rewrite,[status(thm)],[])).
% 49.15/32.20 tff(15248,plain,
% 49.15/32.20 (((~v26(constB101)) | v60(constB101) | (~v74(constB101))) <=> (v60(constB101) | (~v26(constB101)) | (~v74(constB101)))),
% 49.15/32.20 inference(rewrite,[status(thm)],[])).
% 49.15/32.20 tff(15249,plain,
% 49.15/32.20 (((~![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))))),
% 49.15/32.20 inference(monotonicity,[status(thm)],[15248])).
% 49.15/32.20 tff(15250,plain,
% 49.15/32.20 (((~![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)))),
% 49.15/32.20 inference(transitivity,[status(thm)],[15249, 15247])).
% 49.15/32.20 tff(15251,plain,
% 49.15/32.20 ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB101)) | v60(constB101) | (~v74(constB101)))),
% 49.15/32.20 inference(quant_inst,[status(thm)],[])).
% 49.15/32.20 tff(15252,plain,
% 49.15/32.20 ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB101) | (~v26(constB101)) | (~v74(constB101))),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15251, 15250])).
% 49.15/32.20 tff(15253,plain,
% 49.15/32.20 (v60(constB101) | (~v26(constB101))),
% 49.15/32.20 inference(unit_resolution,[status(thm)],[15252, 15246, 15236])).
% 49.15/32.20 tff(15254,plain,
% 49.15/32.20 (~v26(constB101)),
% 49.15/32.20 inference(unit_resolution,[status(thm)],[15253, 15152])).
% 49.15/32.20 tff(15255,plain,
% 49.15/32.20 (((~![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)))),
% 49.15/32.20 inference(rewrite,[status(thm)],[])).
% 49.15/32.20 tff(15256,plain,
% 49.15/32.20 ((v26(constB101) | (~v113(constB101)) | v112(constB101)) <=> (v26(constB101) | v112(constB101) | (~v113(constB101)))),
% 49.15/32.20 inference(rewrite,[status(thm)],[])).
% 49.15/32.20 tff(15257,plain,
% 49.15/32.20 (((~![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))))),
% 49.15/32.20 inference(monotonicity,[status(thm)],[15256])).
% 49.15/32.20 tff(15258,plain,
% 49.15/32.20 (((~![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)))),
% 49.15/32.20 inference(transitivity,[status(thm)],[15257, 15255])).
% 49.15/32.20 tff(15259,plain,
% 49.15/32.20 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB101) | (~v113(constB101)) | v112(constB101))),
% 49.15/32.20 inference(quant_inst,[status(thm)],[])).
% 49.15/32.20 tff(15260,plain,
% 49.15/32.20 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB101) | v112(constB101) | (~v113(constB101))),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15259, 15258])).
% 49.15/32.20 tff(15261,plain,
% 49.15/32.20 (v112(constB101) | (~v113(constB101))),
% 49.15/32.20 inference(unit_resolution,[status(thm)],[15260, 224, 15254])).
% 49.15/32.20 tff(15262,plain,
% 49.15/32.20 (v112(constB101)),
% 49.15/32.20 inference(unit_resolution,[status(thm)],[15261, 15022])).
% 49.15/32.20 tff(15263,plain,
% 49.15/32.20 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB101) | (~v112(constB101)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB101) | (~v112(constB101)))),
% 49.15/32.20 inference(rewrite,[status(thm)],[])).
% 49.15/32.20 tff(15264,plain,
% 49.15/32.20 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB101) | (~v112(constB101)))),
% 49.15/32.20 inference(quant_inst,[status(thm)],[])).
% 49.15/32.20 tff(15265,plain,
% 49.15/32.20 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB101) | (~v112(constB101))),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15264, 15263])).
% 49.15/32.20 tff(15266,plain,
% 49.15/32.20 (v108(constB101)),
% 49.15/32.20 inference(unit_resolution,[status(thm)],[15265, 236, 15262])).
% 49.15/32.20 tff(15267,plain,
% 49.15/32.20 (((~![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)))),
% 49.15/32.20 inference(rewrite,[status(thm)],[])).
% 49.15/32.20 tff(15268,plain,
% 49.15/32.20 (((~nextState(constB101, constB102)) | (~v108(constB101)) | v110(constB102)) <=> ((~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101)))),
% 49.15/32.20 inference(rewrite,[status(thm)],[])).
% 49.15/32.20 tff(15269,plain,
% 49.15/32.20 (((~![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))))),
% 49.15/32.20 inference(monotonicity,[status(thm)],[15268])).
% 49.15/32.20 tff(15270,plain,
% 49.15/32.20 (((~![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)))),
% 49.15/32.20 inference(transitivity,[status(thm)],[15269, 15267])).
% 49.15/32.20 tff(15271,plain,
% 49.15/32.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB101, constB102)) | (~v108(constB101)) | v110(constB102))),
% 49.15/32.20 inference(quant_inst,[status(thm)],[])).
% 49.15/32.20 tff(15272,plain,
% 49.15/32.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101))),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15271, 15270])).
% 49.15/32.20 tff(15273,plain,
% 49.15/32.20 (v110(constB102) | (~v108(constB101))),
% 49.15/32.20 inference(unit_resolution,[status(thm)],[15272, 253, 15101])).
% 49.15/32.20 tff(15274,plain,
% 49.15/32.20 (v110(constB102)),
% 49.15/32.20 inference(unit_resolution,[status(thm)],[15273, 15266])).
% 49.15/32.20 tff(15275,plain,
% 49.15/32.20 (((~![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)))),
% 49.15/32.20 inference(rewrite,[status(thm)],[])).
% 49.15/32.20 tff(15276,plain,
% 49.15/32.20 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB101) | (~nextState(constB101, constB102)) | (~v104(constB102)))),
% 49.15/32.20 inference(quant_inst,[status(thm)],[])).
% 49.15/32.20 tff(15277,plain,
% 49.15/32.20 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB101) | (~nextState(constB101, constB102)) | (~v104(constB102))),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15276, 15275])).
% 49.15/32.20 tff(15278,plain,
% 49.15/32.20 (~v104(constB102)),
% 49.15/32.20 inference(unit_resolution,[status(thm)],[15277, 271, 15101, 14916])).
% 49.15/32.20 tff(15279,plain,
% 49.15/32.20 (((~![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))),
% 49.15/32.20 inference(rewrite,[status(thm)],[])).
% 49.15/32.20 tff(15280,plain,
% 49.15/32.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB101, constB102)) | v102(constB102) | v104(constB102))),
% 49.15/32.20 inference(quant_inst,[status(thm)],[])).
% 49.15/32.20 tff(15281,plain,
% 49.15/32.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB101, constB102)) | v102(constB102) | v104(constB102)),
% 49.15/32.20 inference(modus_ponens,[status(thm)],[15280, 15279])).
% 49.15/32.20 tff(15282,plain,
% 49.15/32.20 (v102(constB102) | v104(constB102)),
% 49.15/32.20 inference(unit_resolution,[status(thm)],[15281, 285, 15101])).
% 49.15/32.20 tff(15283,plain,
% 49.15/32.20 (v102(constB102)),
% 49.15/32.20 inference(unit_resolution,[status(thm)],[15282, 15278])).
% 49.15/32.20 tff(15284,plain,
% 49.15/32.20 (((~![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)))),
% 49.15/32.21 inference(rewrite,[status(thm)],[])).
% 49.15/32.21 tff(15285,plain,
% 49.15/32.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB101, constB102)) | v101(constB102) | (~v102(constB102)) | (~v1(constB102)))),
% 49.15/32.21 inference(quant_inst,[status(thm)],[])).
% 49.15/32.21 tff(15286,plain,
% 49.15/32.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB101, constB102)) | v101(constB102) | (~v102(constB102)) | (~v1(constB102))),
% 49.15/32.21 inference(modus_ponens,[status(thm)],[15285, 15284])).
% 49.15/32.21 tff(15287,plain,
% 49.15/32.21 (v101(constB102) | (~v102(constB102))),
% 49.15/32.21 inference(unit_resolution,[status(thm)],[15286, 303, 15101, 15058])).
% 49.15/32.21 tff(15288,plain,
% 49.15/32.21 (v101(constB102)),
% 49.15/32.21 inference(unit_resolution,[status(thm)],[15287, 15283])).
% 49.15/32.21 tff(15289,plain,
% 49.15/32.21 (((~![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)))),
% 49.15/32.21 inference(rewrite,[status(thm)],[])).
% 49.15/32.21 tff(15290,plain,
% 49.15/32.21 (((~nextState(constB101, constB102)) | (~v101(constB102)) | (~v110(constB102)) | v100(constB102)) <=> ((~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102)))),
% 49.15/32.21 inference(rewrite,[status(thm)],[])).
% 49.15/32.21 tff(15291,plain,
% 49.15/32.21 (((~![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))))),
% 49.15/32.21 inference(monotonicity,[status(thm)],[15290])).
% 49.15/32.21 tff(15292,plain,
% 49.15/32.21 (((~![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)))),
% 49.15/32.21 inference(transitivity,[status(thm)],[15291, 15289])).
% 49.15/32.21 tff(15293,plain,
% 49.15/32.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB101, constB102)) | (~v101(constB102)) | (~v110(constB102)) | v100(constB102))),
% 49.15/32.21 inference(quant_inst,[status(thm)],[])).
% 49.15/32.21 tff(15294,plain,
% 49.15/32.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102))),
% 49.15/32.21 inference(modus_ponens,[status(thm)],[15293, 15292])).
% 49.15/32.21 tff(15295,plain,
% 49.15/32.21 (v100(constB102) | (~v101(constB102)) | (~v110(constB102))),
% 49.15/32.21 inference(unit_resolution,[status(thm)],[15294, 318, 15101])).
% 49.15/32.21 tff(15296,plain,
% 49.15/32.21 (v100(constB102) | (~v110(constB102))),
% 49.15/32.21 inference(unit_resolution,[status(thm)],[15295, 15288])).
% 49.15/32.21 tff(15297,plain,
% 49.15/32.21 (v100(constB102)),
% 49.15/32.21 inference(unit_resolution,[status(thm)],[15296, 15274])).
% 49.15/32.21 tff(15298,plain,
% 49.15/32.21 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB101)) | v130(constB101, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB101)) | v130(constB101, bitIndex2))),
% 49.15/32.21 inference(rewrite,[status(thm)],[])).
% 49.15/32.21 tff(15299,plain,
% 49.15/32.21 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB101)) | v130(constB101, bitIndex2))),
% 49.15/32.21 inference(quant_inst,[status(thm)],[])).
% 49.15/32.21 tff(15300,plain,
% 49.15/32.21 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB101)) | v130(constB101, bitIndex2)),
% 49.15/32.21 inference(modus_ponens,[status(thm)],[15299, 15298])).
% 49.15/32.21 tff(15301,plain,
% 49.15/32.21 (v130(constB101, bitIndex2)),
% 49.15/32.21 inference(unit_resolution,[status(thm)],[15300, 1876, 15006])).
% 49.15/32.21 tff(15302,plain,
% 49.15/32.21 (((~![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))) | v26(constB101) | (~v130(constB101, bitIndex2)) | v127(constB101, bitIndex2))),
% 49.15/32.21 inference(rewrite,[status(thm)],[])).
% 49.15/32.21 tff(15303,plain,
% 49.15/32.21 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB101) | (~v130(constB101, bitIndex2)) | v127(constB101, bitIndex2))),
% 49.15/32.21 inference(quant_inst,[status(thm)],[])).
% 49.15/32.21 tff(15304,plain,
% 49.15/32.21 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB101) | (~v130(constB101, bitIndex2)) | v127(constB101, bitIndex2)),
% 49.15/32.21 inference(modus_ponens,[status(thm)],[15303, 15302])).
% 49.15/32.21 tff(15305,plain,
% 49.15/32.21 ((~v130(constB101, bitIndex2)) | v127(constB101, bitIndex2)),
% 49.15/32.21 inference(unit_resolution,[status(thm)],[15304, 351, 15254])).
% 49.15/32.21 tff(15306,plain,
% 49.15/32.21 (v127(constB101, bitIndex2)),
% 49.15/32.21 inference(unit_resolution,[status(thm)],[15305, 15301])).
% 49.15/32.21 tff(15307,plain,
% 49.15/32.21 (((~![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))),
% 49.15/32.21 inference(rewrite,[status(thm)],[])).
% 49.15/32.21 tff(15308,plain,
% 49.15/32.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB101, constB102)) | (~v127(constB101, bitIndex2)) | v129(constB102, bitIndex2))),
% 49.15/32.21 inference(quant_inst,[status(thm)],[])).
% 49.15/32.21 tff(15309,plain,
% 49.15/32.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB101, constB102)) | (~v127(constB101, bitIndex2)) | v129(constB102, bitIndex2)),
% 49.15/32.21 inference(modus_ponens,[status(thm)],[15308, 15307])).
% 49.15/32.21 tff(15310,plain,
% 49.15/32.21 ((~v127(constB101, bitIndex2)) | v129(constB102, bitIndex2)),
% 49.15/32.21 inference(unit_resolution,[status(thm)],[15309, 366, 15101])).
% 49.15/32.21 tff(15311,plain,
% 49.15/32.21 (v129(constB102, bitIndex2)),
% 49.15/32.21 inference(unit_resolution,[status(thm)],[15310, 15306])).
% 49.15/32.21 tff(15312,plain,
% 49.15/32.21 (((~![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)))),
% 49.15/32.21 inference(rewrite,[status(thm)],[])).
% 49.15/32.21 tff(15313,plain,
% 49.15/32.21 ((v90(constB102, bitIndex2) | (~v100(constB102)) | (~v129(constB102, bitIndex2))) <=> (v90(constB102, bitIndex2) | (~v129(constB102, bitIndex2)) | (~v100(constB102)))),
% 49.15/32.21 inference(rewrite,[status(thm)],[])).
% 49.15/32.21 tff(15314,plain,
% 49.15/32.21 (((~![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))))),
% 49.15/32.21 inference(monotonicity,[status(thm)],[15313])).
% 49.15/32.21 tff(15315,plain,
% 49.15/32.21 (((~![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)))),
% 49.15/32.21 inference(transitivity,[status(thm)],[15314, 15312])).
% 49.15/32.21 tff(15316,plain,
% 49.15/32.21 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB102, bitIndex2) | (~v100(constB102)) | (~v129(constB102, bitIndex2)))),
% 49.15/32.21 inference(quant_inst,[status(thm)],[])).
% 49.15/32.21 tff(15317,plain,
% 49.15/32.21 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB102, bitIndex2) | (~v129(constB102, bitIndex2)) | (~v100(constB102))),
% 49.15/32.21 inference(modus_ponens,[status(thm)],[15316, 15315])).
% 49.15/32.21 tff(15318,plain,
% 49.15/32.21 (v90(constB102, bitIndex2) | (~v100(constB102))),
% 49.15/32.21 inference(unit_resolution,[status(thm)],[15317, 381, 15311])).
% 49.15/32.21 tff(15319,plain,
% 49.15/32.21 (v90(constB102, bitIndex2)),
% 49.15/32.21 inference(unit_resolution,[status(thm)],[15318, 15297])).
% 49.15/32.21 tff(15320,plain,
% 49.15/32.21 ((~v1(constB103)) <=> (~v1(constB103))),
% 49.15/32.21 inference(rewrite,[status(thm)],[])).
% 49.15/32.21 tff(15321,axiom,(~v1(constB103)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_103_1_1')).
% 49.15/32.21 tff(15322,plain,
% 49.15/32.21 (~v1(constB103)),
% 49.15/32.21 inference(modus_ponens,[status(thm)],[15321, 15320])).
% 49.15/32.21 tff(15323,plain,
% 49.15/32.21 (nextState(constB102, constB103) <=> nextState(constB102, constB103)),
% 49.15/32.21 inference(rewrite,[status(thm)],[])).
% 49.15/32.21 tff(15324,axiom,(nextState(constB102, constB103)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_102_1')).
% 49.15/32.21 tff(15325,plain,
% 49.15/32.21 (nextState(constB102, constB103)),
% 49.15/32.21 inference(modus_ponens,[status(thm)],[15324, 15323])).
% 49.15/32.21 tff(15326,plain,
% 49.15/32.21 (((~![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)))),
% 49.15/32.21 inference(rewrite,[status(thm)],[])).
% 49.15/32.21 tff(15327,plain,
% 49.15/32.21 (((~nextState(constB102, constB103)) | (~v101(constB103)) | v1(constB103)) <=> (v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103)))),
% 49.15/32.21 inference(rewrite,[status(thm)],[])).
% 49.15/32.21 tff(15328,plain,
% 49.15/32.21 (((~![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))))),
% 49.15/32.21 inference(monotonicity,[status(thm)],[15327])).
% 49.15/32.21 tff(15329,plain,
% 49.15/32.21 (((~![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)))),
% 49.15/32.21 inference(transitivity,[status(thm)],[15328, 15326])).
% 49.15/32.21 tff(15330,plain,
% 49.15/32.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB102, constB103)) | (~v101(constB103)) | v1(constB103))),
% 49.15/32.21 inference(quant_inst,[status(thm)],[])).
% 49.15/32.21 tff(15331,plain,
% 49.15/32.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103))),
% 49.15/32.21 inference(modus_ponens,[status(thm)],[15330, 15329])).
% 49.15/32.21 tff(15332,plain,
% 49.15/32.21 (~v101(constB103)),
% 49.15/32.21 inference(unit_resolution,[status(thm)],[15331, 49, 15325, 15322])).
% 49.15/32.21 tff(15333,plain,
% 49.15/32.21 (((~![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)))),
% 49.15/32.21 inference(rewrite,[status(thm)],[])).
% 49.15/32.21 tff(15334,plain,
% 49.15/32.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB102, constB103)) | v101(constB103) | (~v100(constB103)))),
% 49.15/32.21 inference(quant_inst,[status(thm)],[])).
% 49.15/32.21 tff(15335,plain,
% 49.15/32.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB102, constB103)) | v101(constB103) | (~v100(constB103))),
% 49.15/32.21 inference(modus_ponens,[status(thm)],[15334, 15333])).
% 49.15/32.21 tff(15336,plain,
% 49.15/32.21 (v101(constB103) | (~v100(constB103))),
% 49.15/32.21 inference(unit_resolution,[status(thm)],[15335, 66, 15325])).
% 49.15/32.21 tff(15337,plain,
% 49.15/32.21 (~v100(constB103)),
% 49.15/32.21 inference(unit_resolution,[status(thm)],[15336, 15332])).
% 49.15/32.21 tff(15338,plain,
% 49.15/32.21 (((~![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))),
% 49.15/32.21 inference(rewrite,[status(thm)],[])).
% 49.15/32.21 tff(15339,plain,
% 49.15/32.21 (((~nextState(constB102, constB103)) | (~v90(constB102, bitIndex2)) | v100(constB103) | v90(constB103, bitIndex2)) <=> ((~v90(constB102, bitIndex2)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, bitIndex2))),
% 49.15/32.21 inference(rewrite,[status(thm)],[])).
% 49.15/32.21 tff(15340,plain,
% 49.15/32.21 (((~![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)))),
% 49.15/32.21 inference(monotonicity,[status(thm)],[15339])).
% 49.15/32.21 tff(15341,plain,
% 49.15/32.21 (((~![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))),
% 49.15/32.21 inference(transitivity,[status(thm)],[15340, 15338])).
% 49.15/32.21 tff(15342,plain,
% 49.15/32.21 ((~![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))),
% 49.15/32.21 inference(quant_inst,[status(thm)],[])).
% 49.15/32.21 tff(15343,plain,
% 49.15/32.21 ((~![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)),
% 49.15/32.21 inference(modus_ponens,[status(thm)],[15342, 15341])).
% 49.15/32.21 tff(15344,plain,
% 49.15/32.21 ((~v90(constB102, bitIndex2)) | v100(constB103) | v90(constB103, bitIndex2)),
% 49.15/32.21 inference(unit_resolution,[status(thm)],[15343, 417, 15325])).
% 49.15/32.21 tff(15345,plain,
% 49.15/32.21 ((~v90(constB102, bitIndex2)) | v90(constB103, bitIndex2)),
% 49.15/32.21 inference(unit_resolution,[status(thm)],[15344, 15337])).
% 49.15/32.21 tff(15346,plain,
% 49.15/32.21 (v90(constB103, bitIndex2)),
% 49.15/32.21 inference(unit_resolution,[status(thm)],[15345, 15319])).
% 49.15/32.21 tff(15347,plain,
% 49.15/32.21 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB101)) | (~v130(constB101, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB101)) | (~v130(constB101, bitIndex1)))),
% 49.15/32.21 inference(rewrite,[status(thm)],[])).
% 49.15/32.21 tff(15348,plain,
% 49.15/32.21 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB101)) | (~v130(constB101, bitIndex1)))),
% 49.15/32.21 inference(quant_inst,[status(thm)],[])).
% 49.15/32.21 tff(15349,plain,
% 49.15/32.21 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB101)) | (~v130(constB101, bitIndex1))),
% 49.15/32.21 inference(modus_ponens,[status(thm)],[15348, 15347])).
% 49.15/32.21 tff(15350,plain,
% 49.15/32.21 (~v130(constB101, bitIndex1)),
% 49.15/32.21 inference(unit_resolution,[status(thm)],[15349, 1935, 15006])).
% 49.15/32.21 tff(15351,plain,
% 49.15/32.21 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB101, bitIndex1)) | v26(constB101) | v130(constB101, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB101, bitIndex1)) | v26(constB101) | v130(constB101, bitIndex1))),
% 49.15/32.21 inference(rewrite,[status(thm)],[])).
% 49.15/32.21 tff(15352,plain,
% 49.15/32.21 ((v26(constB101) | v130(constB101, bitIndex1) | (~v127(constB101, bitIndex1))) <=> ((~v127(constB101, bitIndex1)) | v26(constB101) | v130(constB101, bitIndex1))),
% 49.15/32.21 inference(rewrite,[status(thm)],[])).
% 49.15/32.21 tff(15353,plain,
% 49.15/32.21 (((~![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)))) | ((~v127(constB101, bitIndex1)) | v26(constB101) | v130(constB101, bitIndex1)))),
% 49.15/32.21 inference(monotonicity,[status(thm)],[15352])).
% 49.15/32.21 tff(15354,plain,
% 49.15/32.21 (((~![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)))) | (~v127(constB101, bitIndex1)) | v26(constB101) | v130(constB101, bitIndex1))),
% 49.15/32.21 inference(transitivity,[status(thm)],[15353, 15351])).
% 49.15/32.21 tff(15355,plain,
% 49.15/32.21 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB101) | v130(constB101, bitIndex1) | (~v127(constB101, bitIndex1)))),
% 49.15/32.21 inference(quant_inst,[status(thm)],[])).
% 49.15/32.21 tff(15356,plain,
% 49.15/32.21 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB101, bitIndex1)) | v26(constB101) | v130(constB101, bitIndex1)),
% 49.15/32.21 inference(modus_ponens,[status(thm)],[15355, 15354])).
% 49.15/32.21 tff(15357,plain,
% 49.15/32.21 ((~v127(constB101, bitIndex1)) | v130(constB101, bitIndex1)),
% 49.15/32.21 inference(unit_resolution,[status(thm)],[15356, 450, 15254])).
% 49.15/32.21 tff(15358,plain,
% 49.15/32.21 (~v127(constB101, bitIndex1)),
% 49.15/32.21 inference(unit_resolution,[status(thm)],[15357, 15350])).
% 49.15/32.21 tff(15359,plain,
% 49.15/32.21 (((~![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)))),
% 49.15/32.21 inference(rewrite,[status(thm)],[])).
% 49.15/32.21 tff(15360,plain,
% 49.15/32.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB101, constB102)) | v127(constB101, bitIndex1) | (~v129(constB102, bitIndex1)))),
% 49.15/32.21 inference(quant_inst,[status(thm)],[])).
% 49.15/32.21 tff(15361,plain,
% 49.15/32.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB101, constB102)) | v127(constB101, bitIndex1) | (~v129(constB102, bitIndex1))),
% 49.15/32.21 inference(modus_ponens,[status(thm)],[15360, 15359])).
% 49.15/32.21 tff(15362,plain,
% 49.15/32.21 (v127(constB101, bitIndex1) | (~v129(constB102, bitIndex1))),
% 49.15/32.21 inference(unit_resolution,[status(thm)],[15361, 468, 15101])).
% 49.15/32.21 tff(15363,plain,
% 49.15/32.21 (~v129(constB102, bitIndex1)),
% 49.15/32.21 inference(unit_resolution,[status(thm)],[15362, 15358])).
% 49.15/32.21 tff(15364,plain,
% 49.15/32.21 (((~![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)))),
% 49.15/32.21 inference(rewrite,[status(thm)],[])).
% 49.15/32.21 tff(15365,plain,
% 49.15/32.21 (((~v90(constB102, bitIndex1)) | (~v100(constB102)) | v129(constB102, bitIndex1)) <=> ((~v90(constB102, bitIndex1)) | v129(constB102, bitIndex1) | (~v100(constB102)))),
% 49.15/32.21 inference(rewrite,[status(thm)],[])).
% 49.15/32.21 tff(15366,plain,
% 49.15/32.21 (((~![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))))),
% 49.15/32.21 inference(monotonicity,[status(thm)],[15365])).
% 49.15/32.21 tff(15367,plain,
% 49.15/32.21 (((~![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)))),
% 49.15/32.21 inference(transitivity,[status(thm)],[15366, 15364])).
% 49.15/32.21 tff(15368,plain,
% 49.15/32.21 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB102, bitIndex1)) | (~v100(constB102)) | v129(constB102, bitIndex1))),
% 49.15/32.21 inference(quant_inst,[status(thm)],[])).
% 49.15/32.21 tff(15369,plain,
% 49.15/32.21 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB102, bitIndex1)) | v129(constB102, bitIndex1) | (~v100(constB102))),
% 49.15/32.21 inference(modus_ponens,[status(thm)],[15368, 15367])).
% 49.15/32.21 tff(15370,plain,
% 49.15/32.21 ((~v90(constB102, bitIndex1)) | (~v100(constB102))),
% 49.15/32.21 inference(unit_resolution,[status(thm)],[15369, 483, 15363])).
% 49.15/32.21 tff(15371,plain,
% 49.15/32.21 (~v90(constB102, bitIndex1)),
% 49.15/32.21 inference(unit_resolution,[status(thm)],[15370, 15297])).
% 49.15/32.21 tff(15372,plain,
% 49.15/32.21 (((~![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)))),
% 49.15/32.21 inference(rewrite,[status(thm)],[])).
% 49.15/32.21 tff(15373,plain,
% 49.15/32.21 (((~nextState(constB102, constB103)) | v90(constB102, bitIndex1) | v100(constB103) | (~v90(constB103, bitIndex1))) <=> (v90(constB102, bitIndex1) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex1)))),
% 49.15/32.21 inference(rewrite,[status(thm)],[])).
% 49.15/32.21 tff(15374,plain,
% 49.15/32.21 (((~![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))))),
% 49.15/32.21 inference(monotonicity,[status(thm)],[15373])).
% 49.15/32.21 tff(15375,plain,
% 49.15/32.21 (((~![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)))),
% 49.15/32.21 inference(transitivity,[status(thm)],[15374, 15372])).
% 49.15/32.21 tff(15376,plain,
% 49.15/32.21 ((~![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)))),
% 49.15/32.21 inference(quant_inst,[status(thm)],[])).
% 49.15/32.21 tff(15377,plain,
% 49.15/32.21 ((~![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))),
% 49.15/32.21 inference(modus_ponens,[status(thm)],[15376, 15375])).
% 49.15/32.21 tff(15378,plain,
% 49.15/32.21 (v90(constB102, bitIndex1) | v100(constB103) | (~v90(constB103, bitIndex1))),
% 49.15/32.21 inference(unit_resolution,[status(thm)],[15377, 102, 15325])).
% 49.15/32.21 tff(15379,plain,
% 49.15/32.21 (v90(constB102, bitIndex1) | (~v90(constB103, bitIndex1))),
% 49.15/32.21 inference(unit_resolution,[status(thm)],[15378, 15337])).
% 49.15/32.21 tff(15380,plain,
% 49.15/32.21 (~v90(constB103, bitIndex1)),
% 49.15/32.21 inference(unit_resolution,[status(thm)],[15379, 15371])).
% 49.15/32.21 tff(15381,plain,
% 49.15/32.21 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB101)) | (~v130(constB101, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB101)) | (~v130(constB101, bitIndex0)))),
% 49.15/32.21 inference(rewrite,[status(thm)],[])).
% 49.15/32.21 tff(15382,plain,
% 49.15/32.21 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB101)) | (~v130(constB101, bitIndex0)))),
% 49.15/32.21 inference(quant_inst,[status(thm)],[])).
% 49.15/32.21 tff(15383,plain,
% 49.15/32.21 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB101)) | (~v130(constB101, bitIndex0))),
% 49.15/32.21 inference(modus_ponens,[status(thm)],[15382, 15381])).
% 49.15/32.21 tff(15384,plain,
% 49.15/32.21 (~v130(constB101, bitIndex0)),
% 49.15/32.21 inference(unit_resolution,[status(thm)],[15383, 1997, 15006])).
% 49.15/32.21 tff(15385,plain,
% 49.15/32.21 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB101, bitIndex0)) | v26(constB101) | v130(constB101, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB101, bitIndex0)) | v26(constB101) | v130(constB101, bitIndex0))),
% 49.15/32.21 inference(rewrite,[status(thm)],[])).
% 49.15/32.21 tff(15386,plain,
% 49.15/32.21 ((v26(constB101) | v130(constB101, bitIndex0) | (~v127(constB101, bitIndex0))) <=> ((~v127(constB101, bitIndex0)) | v26(constB101) | v130(constB101, bitIndex0))),
% 49.15/32.21 inference(rewrite,[status(thm)],[])).
% 49.15/32.21 tff(15387,plain,
% 49.15/32.21 (((~![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)))) | ((~v127(constB101, bitIndex0)) | v26(constB101) | v130(constB101, bitIndex0)))),
% 49.15/32.21 inference(monotonicity,[status(thm)],[15386])).
% 49.15/32.21 tff(15388,plain,
% 49.15/32.21 (((~![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)))) | (~v127(constB101, bitIndex0)) | v26(constB101) | v130(constB101, bitIndex0))),
% 49.15/32.21 inference(transitivity,[status(thm)],[15387, 15385])).
% 49.15/32.21 tff(15389,plain,
% 49.15/32.21 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB101) | v130(constB101, bitIndex0) | (~v127(constB101, bitIndex0)))),
% 49.15/32.21 inference(quant_inst,[status(thm)],[])).
% 49.15/32.21 tff(15390,plain,
% 49.15/32.21 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB101, bitIndex0)) | v26(constB101) | v130(constB101, bitIndex0)),
% 49.15/32.21 inference(modus_ponens,[status(thm)],[15389, 15388])).
% 49.15/32.21 tff(15391,plain,
% 49.15/32.21 ((~v127(constB101, bitIndex0)) | v130(constB101, bitIndex0)),
% 49.15/32.21 inference(unit_resolution,[status(thm)],[15390, 524, 15254])).
% 49.15/32.21 tff(15392,plain,
% 49.15/32.21 (~v127(constB101, bitIndex0)),
% 49.15/32.21 inference(unit_resolution,[status(thm)],[15391, 15384])).
% 49.15/32.21 tff(15393,plain,
% 49.15/32.21 (((~![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)))),
% 49.15/32.21 inference(rewrite,[status(thm)],[])).
% 49.15/32.21 tff(15394,plain,
% 49.15/32.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB101, constB102)) | v127(constB101, bitIndex0) | (~v129(constB102, bitIndex0)))),
% 49.15/32.21 inference(quant_inst,[status(thm)],[])).
% 49.15/32.21 tff(15395,plain,
% 49.15/32.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB101, constB102)) | v127(constB101, bitIndex0) | (~v129(constB102, bitIndex0))),
% 49.15/32.21 inference(modus_ponens,[status(thm)],[15394, 15393])).
% 49.15/32.21 tff(15396,plain,
% 49.15/32.21 (v127(constB101, bitIndex0) | (~v129(constB102, bitIndex0))),
% 49.15/32.21 inference(unit_resolution,[status(thm)],[15395, 542, 15101])).
% 49.15/32.21 tff(15397,plain,
% 49.15/32.21 (~v129(constB102, bitIndex0)),
% 49.15/32.21 inference(unit_resolution,[status(thm)],[15396, 15392])).
% 49.15/32.21 tff(15398,plain,
% 49.15/32.21 (((~![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)))),
% 49.15/32.21 inference(rewrite,[status(thm)],[])).
% 49.15/32.21 tff(15399,plain,
% 49.15/32.21 (((~v90(constB102, bitIndex0)) | (~v100(constB102)) | v129(constB102, bitIndex0)) <=> ((~v90(constB102, bitIndex0)) | v129(constB102, bitIndex0) | (~v100(constB102)))),
% 49.15/32.21 inference(rewrite,[status(thm)],[])).
% 49.15/32.21 tff(15400,plain,
% 49.15/32.21 (((~![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))))),
% 49.15/32.22 inference(monotonicity,[status(thm)],[15399])).
% 49.15/32.22 tff(15401,plain,
% 49.15/32.22 (((~![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)))),
% 49.15/32.22 inference(transitivity,[status(thm)],[15400, 15398])).
% 49.15/32.22 tff(15402,plain,
% 49.15/32.22 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB102, bitIndex0)) | (~v100(constB102)) | v129(constB102, bitIndex0))),
% 49.15/32.22 inference(quant_inst,[status(thm)],[])).
% 49.15/32.22 tff(15403,plain,
% 49.15/32.22 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB102, bitIndex0)) | v129(constB102, bitIndex0) | (~v100(constB102))),
% 49.15/32.22 inference(modus_ponens,[status(thm)],[15402, 15401])).
% 49.15/32.22 tff(15404,plain,
% 49.15/32.22 ((~v90(constB102, bitIndex0)) | (~v100(constB102))),
% 49.15/32.22 inference(unit_resolution,[status(thm)],[15403, 557, 15397])).
% 49.15/32.22 tff(15405,plain,
% 49.15/32.22 (~v90(constB102, bitIndex0)),
% 49.15/32.22 inference(unit_resolution,[status(thm)],[15404, 15297])).
% 49.15/32.22 tff(15406,plain,
% 49.15/32.22 (((~![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)))),
% 49.15/32.22 inference(rewrite,[status(thm)],[])).
% 49.15/32.22 tff(15407,plain,
% 49.15/32.22 (((~nextState(constB102, constB103)) | v90(constB102, bitIndex0) | v100(constB103) | (~v90(constB103, bitIndex0))) <=> (v90(constB102, bitIndex0) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, bitIndex0)))),
% 49.15/32.22 inference(rewrite,[status(thm)],[])).
% 49.15/32.22 tff(15408,plain,
% 49.15/32.22 (((~![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))))),
% 49.15/32.22 inference(monotonicity,[status(thm)],[15407])).
% 49.15/32.22 tff(15409,plain,
% 49.15/32.22 (((~![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)))),
% 49.15/32.22 inference(transitivity,[status(thm)],[15408, 15406])).
% 49.15/32.22 tff(15410,plain,
% 49.15/32.22 ((~![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)))),
% 49.15/32.22 inference(quant_inst,[status(thm)],[])).
% 49.15/32.22 tff(15411,plain,
% 49.15/32.22 ((~![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))),
% 49.15/32.22 inference(modus_ponens,[status(thm)],[15410, 15409])).
% 49.15/32.22 tff(15412,plain,
% 49.15/32.22 (v90(constB102, bitIndex0) | v100(constB103) | (~v90(constB103, bitIndex0))),
% 49.15/32.22 inference(unit_resolution,[status(thm)],[15411, 123, 15325])).
% 49.15/32.22 tff(15413,plain,
% 49.15/32.22 (v90(constB102, bitIndex0) | (~v90(constB103, bitIndex0))),
% 49.15/32.22 inference(unit_resolution,[status(thm)],[15412, 15337])).
% 49.15/32.22 tff(15414,plain,
% 49.15/32.22 (~v90(constB103, bitIndex0)),
% 49.15/32.22 inference(unit_resolution,[status(thm)],[15413, 15405])).
% 49.15/32.22 tff(15415,plain,
% 49.15/32.22 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB103, bitIndex0) | v90(constB103, bitIndex1) | (~v90(constB103, bitIndex2)) | v123(constB103))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB103, bitIndex0) | v90(constB103, bitIndex1) | (~v90(constB103, bitIndex2)) | v123(constB103))),
% 49.15/32.22 inference(rewrite,[status(thm)],[])).
% 49.15/32.22 tff(15416,plain,
% 49.15/32.22 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB103, bitIndex0) | v90(constB103, bitIndex1) | (~v90(constB103, bitIndex2)) | v123(constB103))),
% 49.15/32.22 inference(quant_inst,[status(thm)],[])).
% 49.15/32.22 tff(15417,plain,
% 49.15/32.22 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB103, bitIndex0) | v90(constB103, bitIndex1) | (~v90(constB103, bitIndex2)) | v123(constB103)),
% 49.15/32.22 inference(modus_ponens,[status(thm)],[15416, 15415])).
% 49.15/32.22 tff(15418,plain,
% 49.15/32.22 (v123(constB103)),
% 49.15/32.22 inference(unit_resolution,[status(thm)],[15417, 584, 15414, 15380, 15346])).
% 49.15/32.22 tff(15419,plain,
% 49.15/32.22 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB103) | (~v123(constB103)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB103) | (~v123(constB103)))),
% 49.15/32.22 inference(rewrite,[status(thm)],[])).
% 49.15/32.22 tff(15420,plain,
% 49.15/32.22 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB103) | (~v123(constB103)))),
% 49.15/32.22 inference(quant_inst,[status(thm)],[])).
% 49.15/32.22 tff(15421,plain,
% 49.15/32.22 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB103) | (~v123(constB103))),
% 49.15/32.22 inference(modus_ponens,[status(thm)],[15420, 15419])).
% 49.15/32.22 tff(15422,plain,
% 49.15/32.22 (v115(constB103)),
% 49.15/32.22 inference(unit_resolution,[status(thm)],[15421, 595, 15418])).
% 49.15/32.22 tff(15423,plain,
% 49.15/32.22 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB103) | (~v115(constB103)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB103) | (~v115(constB103)))),
% 49.15/32.22 inference(rewrite,[status(thm)],[])).
% 49.15/32.22 tff(15424,plain,
% 49.15/32.22 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB103) | (~v115(constB103)))),
% 49.15/32.22 inference(quant_inst,[status(thm)],[])).
% 49.15/32.22 tff(15425,plain,
% 49.15/32.22 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB103) | (~v115(constB103))),
% 49.15/32.22 inference(modus_ponens,[status(thm)],[15424, 15423])).
% 49.15/32.22 tff(15426,plain,
% 49.15/32.22 (v114(constB103)),
% 49.15/32.22 inference(unit_resolution,[status(thm)],[15425, 199, 15422])).
% 49.15/32.22 tff(15427,plain,
% 49.15/32.22 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB103) | (~v114(constB103)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB103) | (~v114(constB103)))),
% 49.15/32.22 inference(rewrite,[status(thm)],[])).
% 49.15/32.22 tff(15428,plain,
% 49.15/32.22 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB103) | (~v114(constB103)))),
% 49.15/32.22 inference(quant_inst,[status(thm)],[])).
% 49.15/32.22 tff(15429,plain,
% 49.15/32.22 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB103) | (~v114(constB103))),
% 49.15/32.22 inference(modus_ponens,[status(thm)],[15428, 15427])).
% 49.15/32.22 tff(15430,plain,
% 49.15/32.22 (v113(constB103)),
% 49.15/32.22 inference(unit_resolution,[status(thm)],[15429, 210, 15426])).
% 49.15/32.22 tff(15431,assumption,(v26(constB103)), introduced(assumption)).
% 49.15/32.22 tff(15432,plain,
% 49.15/32.22 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB103))),
% 49.15/32.22 inference(quant_inst,[status(thm)],[])).
% 49.15/32.22 tff(15433,plain,
% 49.15/32.22 ($false),
% 49.15/32.22 inference(unit_resolution,[status(thm)],[15432, 16, 15431])).
% 49.15/32.22 tff(15434,plain,(~v26(constB103)), inference(lemma,lemma(discharge,[]))).
% 49.15/32.22 tff(15435,plain,
% 49.15/32.22 (((~![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))),
% 49.15/32.22 inference(rewrite,[status(thm)],[])).
% 49.15/32.22 tff(15436,plain,
% 49.15/32.22 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB103) | (~v113(constB103)) | v112(constB103))),
% 49.15/32.22 inference(quant_inst,[status(thm)],[])).
% 49.15/32.22 tff(15437,plain,
% 49.15/32.22 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB103) | (~v113(constB103)) | v112(constB103)),
% 49.15/32.22 inference(modus_ponens,[status(thm)],[15436, 15435])).
% 49.15/32.22 tff(15438,plain,
% 49.15/32.22 ((~v113(constB103)) | v112(constB103)),
% 49.15/32.22 inference(unit_resolution,[status(thm)],[15437, 224, 15434])).
% 49.15/32.22 tff(15439,plain,
% 49.15/32.22 (v112(constB103)),
% 49.15/32.22 inference(unit_resolution,[status(thm)],[15438, 15430])).
% 49.15/32.22 tff(15440,plain,
% 49.15/32.22 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB103) | (~v112(constB103)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB103) | (~v112(constB103)))),
% 49.15/32.22 inference(rewrite,[status(thm)],[])).
% 49.15/32.22 tff(15441,plain,
% 49.15/32.22 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB103) | (~v112(constB103)))),
% 49.15/32.22 inference(quant_inst,[status(thm)],[])).
% 49.15/32.22 tff(15442,plain,
% 49.15/32.22 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB103) | (~v112(constB103))),
% 49.15/32.22 inference(modus_ponens,[status(thm)],[15441, 15440])).
% 49.15/32.22 tff(15443,plain,
% 49.15/32.22 (v108(constB103)),
% 49.15/32.22 inference(unit_resolution,[status(thm)],[15442, 236, 15439])).
% 49.15/32.22 tff(15444,plain,
% 49.15/32.22 (nextState(constB103, constB104) <=> nextState(constB103, constB104)),
% 49.15/32.22 inference(rewrite,[status(thm)],[])).
% 49.15/32.22 tff(15445,axiom,(nextState(constB103, constB104)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_103_1')).
% 49.15/32.22 tff(15446,plain,
% 49.15/32.22 (nextState(constB103, constB104)),
% 49.15/32.22 inference(modus_ponens,[status(thm)],[15445, 15444])).
% 49.15/32.22 tff(15447,plain,
% 49.15/32.22 (((~![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)))),
% 49.15/32.22 inference(rewrite,[status(thm)],[])).
% 49.15/32.22 tff(15448,plain,
% 49.15/32.22 (((~nextState(constB103, constB104)) | (~v108(constB103)) | v110(constB104)) <=> ((~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103)))),
% 49.15/32.22 inference(rewrite,[status(thm)],[])).
% 49.15/32.22 tff(15449,plain,
% 49.15/32.22 (((~![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))))),
% 49.15/32.22 inference(monotonicity,[status(thm)],[15448])).
% 49.15/32.22 tff(15450,plain,
% 49.15/32.22 (((~![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)))),
% 49.15/32.22 inference(transitivity,[status(thm)],[15449, 15447])).
% 49.15/32.22 tff(15451,plain,
% 49.15/32.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB103, constB104)) | (~v108(constB103)) | v110(constB104))),
% 49.15/32.22 inference(quant_inst,[status(thm)],[])).
% 49.15/32.22 tff(15452,plain,
% 49.15/32.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103))),
% 49.15/32.22 inference(modus_ponens,[status(thm)],[15451, 15450])).
% 49.15/32.22 tff(15453,plain,
% 49.15/32.22 (v110(constB104) | (~v108(constB103))),
% 49.15/32.22 inference(unit_resolution,[status(thm)],[15452, 253, 15446])).
% 49.15/32.22 tff(15454,plain,
% 49.15/32.22 (v110(constB104)),
% 49.15/32.22 inference(unit_resolution,[status(thm)],[15453, 15443])).
% 49.15/32.22 tff(15455,plain,
% 49.15/32.22 (((~![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)))),
% 49.15/32.22 inference(rewrite,[status(thm)],[])).
% 49.15/32.22 tff(15456,plain,
% 49.15/32.22 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB103) | (~nextState(constB103, constB104)) | (~v104(constB104)))),
% 49.15/32.22 inference(quant_inst,[status(thm)],[])).
% 49.15/32.22 tff(15457,plain,
% 49.15/32.22 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB103) | (~nextState(constB103, constB104)) | (~v104(constB104))),
% 49.15/32.22 inference(modus_ponens,[status(thm)],[15456, 15455])).
% 49.15/32.22 tff(15458,plain,
% 49.15/32.22 (~v104(constB104)),
% 49.15/32.22 inference(unit_resolution,[status(thm)],[15457, 271, 15446, 15322])).
% 49.15/32.22 tff(15459,plain,
% 49.15/32.22 (((~![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))),
% 49.15/32.22 inference(rewrite,[status(thm)],[])).
% 49.15/32.22 tff(15460,plain,
% 49.15/32.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB103, constB104)) | v102(constB104) | v104(constB104))),
% 49.15/32.22 inference(quant_inst,[status(thm)],[])).
% 49.15/32.22 tff(15461,plain,
% 49.15/32.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB103, constB104)) | v102(constB104) | v104(constB104)),
% 49.15/32.22 inference(modus_ponens,[status(thm)],[15460, 15459])).
% 49.15/32.22 tff(15462,plain,
% 49.15/32.22 (v102(constB104) | v104(constB104)),
% 49.15/32.22 inference(unit_resolution,[status(thm)],[15461, 285, 15446])).
% 49.15/32.22 tff(15463,plain,
% 49.15/32.22 (v102(constB104)),
% 49.15/32.22 inference(unit_resolution,[status(thm)],[15462, 15458])).
% 49.15/32.22 tff(15464,plain,
% 49.15/32.22 (v1(constB104) <=> v1(constB104)),
% 49.15/32.22 inference(rewrite,[status(thm)],[])).
% 49.15/32.22 tff(15465,axiom,(v1(constB104)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_104_1')).
% 49.15/32.22 tff(15466,plain,
% 49.15/32.22 (v1(constB104)),
% 49.15/32.22 inference(modus_ponens,[status(thm)],[15465, 15464])).
% 49.15/32.22 tff(15467,plain,
% 49.15/32.22 (((~![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)))),
% 49.15/32.22 inference(rewrite,[status(thm)],[])).
% 49.15/32.22 tff(15468,plain,
% 49.15/32.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB103, constB104)) | v101(constB104) | (~v102(constB104)) | (~v1(constB104)))),
% 49.15/32.22 inference(quant_inst,[status(thm)],[])).
% 49.15/32.22 tff(15469,plain,
% 49.15/32.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB103, constB104)) | v101(constB104) | (~v102(constB104)) | (~v1(constB104))),
% 49.15/32.22 inference(modus_ponens,[status(thm)],[15468, 15467])).
% 49.15/32.22 tff(15470,plain,
% 49.15/32.22 (v101(constB104) | (~v102(constB104))),
% 49.15/32.22 inference(unit_resolution,[status(thm)],[15469, 303, 15446, 15466])).
% 49.15/32.22 tff(15471,plain,
% 49.15/32.22 (v101(constB104)),
% 49.15/32.22 inference(unit_resolution,[status(thm)],[15470, 15463])).
% 49.15/32.22 tff(15472,plain,
% 49.15/32.22 (((~![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)))),
% 49.15/32.22 inference(rewrite,[status(thm)],[])).
% 49.15/32.22 tff(15473,plain,
% 49.15/32.22 (((~nextState(constB103, constB104)) | (~v101(constB104)) | (~v110(constB104)) | v100(constB104)) <=> ((~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104)))),
% 49.15/32.22 inference(rewrite,[status(thm)],[])).
% 49.15/32.22 tff(15474,plain,
% 49.15/32.22 (((~![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))))),
% 49.15/32.22 inference(monotonicity,[status(thm)],[15473])).
% 49.15/32.22 tff(15475,plain,
% 49.15/32.22 (((~![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)))),
% 49.15/32.22 inference(transitivity,[status(thm)],[15474, 15472])).
% 49.15/32.22 tff(15476,plain,
% 49.15/32.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB103, constB104)) | (~v101(constB104)) | (~v110(constB104)) | v100(constB104))),
% 49.15/32.22 inference(quant_inst,[status(thm)],[])).
% 49.15/32.22 tff(15477,plain,
% 49.15/32.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104))),
% 49.15/32.22 inference(modus_ponens,[status(thm)],[15476, 15475])).
% 49.15/32.22 tff(15478,plain,
% 49.15/32.22 (v100(constB104) | (~v101(constB104)) | (~v110(constB104))),
% 49.15/32.22 inference(unit_resolution,[status(thm)],[15477, 318, 15446])).
% 49.15/32.22 tff(15479,plain,
% 49.15/32.22 (v100(constB104) | (~v110(constB104))),
% 49.15/32.22 inference(unit_resolution,[status(thm)],[15478, 15471])).
% 49.15/32.22 tff(15480,plain,
% 49.15/32.22 (v100(constB104)),
% 49.15/32.22 inference(unit_resolution,[status(thm)],[15479, 15454])).
% 49.15/32.22 tff(15481,plain,
% 49.15/32.22 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB103)) | v130(constB103, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB103)) | v130(constB103, bitIndex2))),
% 49.15/32.22 inference(rewrite,[status(thm)],[])).
% 49.15/32.22 tff(15482,plain,
% 49.15/32.22 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB103)) | v130(constB103, bitIndex2))),
% 49.15/32.22 inference(quant_inst,[status(thm)],[])).
% 49.15/32.22 tff(15483,plain,
% 49.15/32.22 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB103)) | v130(constB103, bitIndex2)),
% 49.15/32.22 inference(modus_ponens,[status(thm)],[15482, 15481])).
% 49.15/32.22 tff(15484,plain,
% 49.15/32.22 (v130(constB103, bitIndex2)),
% 49.15/32.22 inference(unit_resolution,[status(thm)],[15483, 836, 15418])).
% 49.15/32.22 tff(15485,plain,
% 49.15/32.22 (((~![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))),
% 49.15/32.22 inference(rewrite,[status(thm)],[])).
% 49.15/32.22 tff(15486,plain,
% 49.15/32.22 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB103) | (~v130(constB103, bitIndex2)) | v127(constB103, bitIndex2))),
% 49.15/32.22 inference(quant_inst,[status(thm)],[])).
% 49.15/32.22 tff(15487,plain,
% 49.15/32.22 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB103) | (~v130(constB103, bitIndex2)) | v127(constB103, bitIndex2)),
% 49.15/32.22 inference(modus_ponens,[status(thm)],[15486, 15485])).
% 49.15/32.22 tff(15488,plain,
% 49.15/32.22 ((~v130(constB103, bitIndex2)) | v127(constB103, bitIndex2)),
% 49.15/32.22 inference(unit_resolution,[status(thm)],[15487, 351, 15434])).
% 49.15/32.22 tff(15489,plain,
% 49.15/32.22 (v127(constB103, bitIndex2)),
% 49.15/32.22 inference(unit_resolution,[status(thm)],[15488, 15484])).
% 49.15/32.22 tff(15490,plain,
% 49.15/32.22 (((~![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))),
% 49.15/32.22 inference(rewrite,[status(thm)],[])).
% 49.15/32.22 tff(15491,plain,
% 49.15/32.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB103, constB104)) | (~v127(constB103, bitIndex2)) | v129(constB104, bitIndex2))),
% 49.15/32.22 inference(quant_inst,[status(thm)],[])).
% 49.15/32.22 tff(15492,plain,
% 49.15/32.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB103, constB104)) | (~v127(constB103, bitIndex2)) | v129(constB104, bitIndex2)),
% 49.15/32.22 inference(modus_ponens,[status(thm)],[15491, 15490])).
% 49.15/32.22 tff(15493,plain,
% 49.15/32.22 ((~v127(constB103, bitIndex2)) | v129(constB104, bitIndex2)),
% 49.15/32.22 inference(unit_resolution,[status(thm)],[15492, 366, 15446])).
% 49.15/32.22 tff(15494,plain,
% 49.15/32.22 (v129(constB104, bitIndex2)),
% 49.15/32.22 inference(unit_resolution,[status(thm)],[15493, 15489])).
% 49.15/32.22 tff(15495,plain,
% 49.15/32.22 (((~![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)))),
% 49.15/32.22 inference(rewrite,[status(thm)],[])).
% 49.15/32.22 tff(15496,plain,
% 49.15/32.22 ((v90(constB104, bitIndex2) | (~v100(constB104)) | (~v129(constB104, bitIndex2))) <=> (v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2)) | (~v100(constB104)))),
% 49.15/32.22 inference(rewrite,[status(thm)],[])).
% 49.15/32.22 tff(15497,plain,
% 49.15/32.22 (((~![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))))),
% 49.15/32.22 inference(monotonicity,[status(thm)],[15496])).
% 49.15/32.22 tff(15498,plain,
% 49.15/32.22 (((~![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)))),
% 49.15/32.22 inference(transitivity,[status(thm)],[15497, 15495])).
% 49.15/32.22 tff(15499,plain,
% 49.15/32.22 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB104, bitIndex2) | (~v100(constB104)) | (~v129(constB104, bitIndex2)))),
% 49.15/32.22 inference(quant_inst,[status(thm)],[])).
% 49.15/32.22 tff(15500,plain,
% 49.15/32.22 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB104, bitIndex2) | (~v129(constB104, bitIndex2)) | (~v100(constB104))),
% 49.15/32.22 inference(modus_ponens,[status(thm)],[15499, 15498])).
% 49.15/32.22 tff(15501,plain,
% 49.15/32.22 (v90(constB104, bitIndex2) | (~v100(constB104))),
% 49.15/32.22 inference(unit_resolution,[status(thm)],[15500, 381, 15494])).
% 49.15/32.22 tff(15502,plain,
% 49.15/32.22 (v90(constB104, bitIndex2)),
% 49.15/32.22 inference(unit_resolution,[status(thm)],[15501, 15480])).
% 49.15/32.22 tff(15503,plain,
% 49.15/32.22 ((~v1(constB105)) <=> (~v1(constB105))),
% 49.15/32.22 inference(rewrite,[status(thm)],[])).
% 49.15/32.22 tff(15504,axiom,(~v1(constB105)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_105_1_1')).
% 49.15/32.22 tff(15505,plain,
% 49.15/32.22 (~v1(constB105)),
% 49.15/32.22 inference(modus_ponens,[status(thm)],[15504, 15503])).
% 49.15/32.22 tff(15506,plain,
% 49.15/32.22 (nextState(constB104, constB105) <=> nextState(constB104, constB105)),
% 49.15/32.22 inference(rewrite,[status(thm)],[])).
% 49.15/32.22 tff(15507,axiom,(nextState(constB104, constB105)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_104_1')).
% 49.15/32.22 tff(15508,plain,
% 49.15/32.22 (nextState(constB104, constB105)),
% 49.15/32.22 inference(modus_ponens,[status(thm)],[15507, 15506])).
% 49.15/32.22 tff(15509,plain,
% 49.15/32.22 (((~![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)))),
% 49.15/32.22 inference(rewrite,[status(thm)],[])).
% 49.15/32.22 tff(15510,plain,
% 49.15/32.22 (((~nextState(constB104, constB105)) | (~v101(constB105)) | v1(constB105)) <=> (v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105)))),
% 49.15/32.22 inference(rewrite,[status(thm)],[])).
% 49.15/32.22 tff(15511,plain,
% 49.15/32.22 (((~![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))))),
% 49.15/32.22 inference(monotonicity,[status(thm)],[15510])).
% 49.15/32.22 tff(15512,plain,
% 49.15/32.22 (((~![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)))),
% 49.15/32.22 inference(transitivity,[status(thm)],[15511, 15509])).
% 49.15/32.22 tff(15513,plain,
% 49.15/32.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB104, constB105)) | (~v101(constB105)) | v1(constB105))),
% 49.15/32.22 inference(quant_inst,[status(thm)],[])).
% 49.15/32.22 tff(15514,plain,
% 49.15/32.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105))),
% 49.15/32.22 inference(modus_ponens,[status(thm)],[15513, 15512])).
% 49.15/32.22 tff(15515,plain,
% 49.15/32.22 (~v101(constB105)),
% 49.15/32.22 inference(unit_resolution,[status(thm)],[15514, 49, 15508, 15505])).
% 49.15/32.22 tff(15516,plain,
% 49.15/32.22 (((~![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)))),
% 49.15/32.22 inference(rewrite,[status(thm)],[])).
% 49.15/32.22 tff(15517,plain,
% 49.15/32.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB104, constB105)) | v101(constB105) | (~v100(constB105)))),
% 49.15/32.22 inference(quant_inst,[status(thm)],[])).
% 49.15/32.22 tff(15518,plain,
% 49.15/32.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB104, constB105)) | v101(constB105) | (~v100(constB105))),
% 49.15/32.22 inference(modus_ponens,[status(thm)],[15517, 15516])).
% 49.15/32.22 tff(15519,plain,
% 49.15/32.22 (v101(constB105) | (~v100(constB105))),
% 49.15/32.22 inference(unit_resolution,[status(thm)],[15518, 66, 15508])).
% 49.15/32.22 tff(15520,plain,
% 49.15/32.22 (~v100(constB105)),
% 49.15/32.22 inference(unit_resolution,[status(thm)],[15519, 15515])).
% 49.15/32.22 tff(15521,plain,
% 49.15/32.22 (((~![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))),
% 49.15/32.22 inference(rewrite,[status(thm)],[])).
% 49.15/32.22 tff(15522,plain,
% 49.15/32.22 (((~nextState(constB104, constB105)) | (~v90(constB104, bitIndex2)) | v100(constB105) | v90(constB105, bitIndex2)) <=> ((~v90(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex2))),
% 49.15/32.22 inference(rewrite,[status(thm)],[])).
% 49.15/32.22 tff(15523,plain,
% 49.15/32.22 (((~![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)))),
% 49.15/32.22 inference(monotonicity,[status(thm)],[15522])).
% 49.15/32.22 tff(15524,plain,
% 49.15/32.22 (((~![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))),
% 49.15/32.22 inference(transitivity,[status(thm)],[15523, 15521])).
% 49.15/32.22 tff(15525,plain,
% 49.15/32.22 ((~![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))),
% 49.15/32.22 inference(quant_inst,[status(thm)],[])).
% 49.15/32.22 tff(15526,plain,
% 49.15/32.22 ((~![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)),
% 49.15/32.22 inference(modus_ponens,[status(thm)],[15525, 15524])).
% 49.15/32.22 tff(15527,plain,
% 49.15/32.22 ((~v90(constB104, bitIndex2)) | v100(constB105) | v90(constB105, bitIndex2)),
% 49.15/32.22 inference(unit_resolution,[status(thm)],[15526, 417, 15508])).
% 49.15/32.22 tff(15528,plain,
% 49.15/32.22 ((~v90(constB104, bitIndex2)) | v90(constB105, bitIndex2)),
% 49.15/32.22 inference(unit_resolution,[status(thm)],[15527, 15520])).
% 49.15/32.22 tff(15529,plain,
% 49.15/32.22 (v90(constB105, bitIndex2)),
% 49.15/32.22 inference(unit_resolution,[status(thm)],[15528, 15502])).
% 49.15/32.22 tff(15530,plain,
% 49.15/32.22 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB103)) | v130(constB103, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB103)) | v130(constB103, bitIndex1))),
% 49.15/32.22 inference(rewrite,[status(thm)],[])).
% 49.15/32.22 tff(15531,plain,
% 49.15/32.22 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB103)) | v130(constB103, bitIndex1))),
% 49.15/32.22 inference(quant_inst,[status(thm)],[])).
% 49.15/32.22 tff(15532,plain,
% 49.15/32.22 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB103)) | v130(constB103, bitIndex1)),
% 49.15/32.22 inference(modus_ponens,[status(thm)],[15531, 15530])).
% 49.15/32.22 tff(15533,plain,
% 49.15/32.22 (v130(constB103, bitIndex1)),
% 49.15/32.22 inference(unit_resolution,[status(thm)],[15532, 667, 15418])).
% 49.15/32.22 tff(15534,plain,
% 49.15/32.22 (((~![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))) | v26(constB103) | (~v130(constB103, bitIndex1)) | v127(constB103, bitIndex1))),
% 49.15/32.22 inference(rewrite,[status(thm)],[])).
% 49.15/32.22 tff(15535,plain,
% 49.15/32.22 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB103) | (~v130(constB103, bitIndex1)) | v127(constB103, bitIndex1))),
% 49.15/32.22 inference(quant_inst,[status(thm)],[])).
% 49.15/32.22 tff(15536,plain,
% 49.15/32.22 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB103) | (~v130(constB103, bitIndex1)) | v127(constB103, bitIndex1)),
% 49.15/32.22 inference(modus_ponens,[status(thm)],[15535, 15534])).
% 49.15/32.23 tff(15537,plain,
% 49.15/32.23 ((~v130(constB103, bitIndex1)) | v127(constB103, bitIndex1)),
% 49.15/32.23 inference(unit_resolution,[status(thm)],[15536, 681, 15434])).
% 49.15/32.23 tff(15538,plain,
% 49.15/32.23 (v127(constB103, bitIndex1)),
% 49.15/32.23 inference(unit_resolution,[status(thm)],[15537, 15533])).
% 49.15/32.23 tff(15539,plain,
% 49.15/32.23 (((~![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))),
% 49.15/32.23 inference(rewrite,[status(thm)],[])).
% 49.15/32.23 tff(15540,plain,
% 49.15/32.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB103, constB104)) | (~v127(constB103, bitIndex1)) | v129(constB104, bitIndex1))),
% 49.15/32.23 inference(quant_inst,[status(thm)],[])).
% 49.15/32.23 tff(15541,plain,
% 49.15/32.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB103, constB104)) | (~v127(constB103, bitIndex1)) | v129(constB104, bitIndex1)),
% 49.15/32.23 inference(modus_ponens,[status(thm)],[15540, 15539])).
% 49.15/32.23 tff(15542,plain,
% 49.15/32.23 ((~v127(constB103, bitIndex1)) | v129(constB104, bitIndex1)),
% 49.15/32.23 inference(unit_resolution,[status(thm)],[15541, 696, 15446])).
% 49.15/32.23 tff(15543,plain,
% 49.15/32.23 (v129(constB104, bitIndex1)),
% 49.15/32.23 inference(unit_resolution,[status(thm)],[15542, 15538])).
% 49.15/32.23 tff(15544,plain,
% 49.15/32.23 (((~![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)))),
% 49.15/32.23 inference(rewrite,[status(thm)],[])).
% 49.15/32.23 tff(15545,plain,
% 49.15/32.23 ((v90(constB104, bitIndex1) | (~v100(constB104)) | (~v129(constB104, bitIndex1))) <=> (v90(constB104, bitIndex1) | (~v129(constB104, bitIndex1)) | (~v100(constB104)))),
% 49.15/32.23 inference(rewrite,[status(thm)],[])).
% 49.15/32.23 tff(15546,plain,
% 49.15/32.23 (((~![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))))),
% 49.15/32.23 inference(monotonicity,[status(thm)],[15545])).
% 49.15/32.23 tff(15547,plain,
% 49.15/32.23 (((~![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)))),
% 49.15/32.23 inference(transitivity,[status(thm)],[15546, 15544])).
% 49.15/32.23 tff(15548,plain,
% 49.15/32.23 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB104, bitIndex1) | (~v100(constB104)) | (~v129(constB104, bitIndex1)))),
% 49.15/32.23 inference(quant_inst,[status(thm)],[])).
% 49.15/32.23 tff(15549,plain,
% 49.15/32.23 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB104, bitIndex1) | (~v129(constB104, bitIndex1)) | (~v100(constB104))),
% 49.15/32.23 inference(modus_ponens,[status(thm)],[15548, 15547])).
% 49.15/32.23 tff(15550,plain,
% 49.15/32.23 (v90(constB104, bitIndex1) | (~v100(constB104))),
% 49.15/32.23 inference(unit_resolution,[status(thm)],[15549, 711, 15543])).
% 49.15/32.23 tff(15551,plain,
% 49.15/32.23 (v90(constB104, bitIndex1)),
% 49.15/32.23 inference(unit_resolution,[status(thm)],[15550, 15480])).
% 49.15/32.23 tff(15552,plain,
% 49.15/32.23 (((~![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))),
% 49.15/32.23 inference(rewrite,[status(thm)],[])).
% 49.15/32.23 tff(15553,plain,
% 49.15/32.23 (((~nextState(constB104, constB105)) | (~v90(constB104, bitIndex1)) | v100(constB105) | v90(constB105, bitIndex1)) <=> ((~v90(constB104, bitIndex1)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, bitIndex1))),
% 49.15/32.23 inference(rewrite,[status(thm)],[])).
% 49.15/32.23 tff(15554,plain,
% 49.15/32.23 (((~![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)))),
% 49.15/32.23 inference(monotonicity,[status(thm)],[15553])).
% 49.15/32.23 tff(15555,plain,
% 49.15/32.23 (((~![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))),
% 49.15/32.23 inference(transitivity,[status(thm)],[15554, 15552])).
% 49.15/32.23 tff(15556,plain,
% 49.15/32.23 ((~![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))),
% 49.15/32.23 inference(quant_inst,[status(thm)],[])).
% 49.15/32.23 tff(15557,plain,
% 49.15/32.23 ((~![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)),
% 49.15/32.23 inference(modus_ponens,[status(thm)],[15556, 15555])).
% 49.15/32.23 tff(15558,plain,
% 49.15/32.23 ((~v90(constB104, bitIndex1)) | v100(constB105) | v90(constB105, bitIndex1)),
% 49.15/32.23 inference(unit_resolution,[status(thm)],[15557, 747, 15508])).
% 49.15/32.23 tff(15559,plain,
% 49.15/32.23 ((~v90(constB104, bitIndex1)) | v90(constB105, bitIndex1)),
% 49.15/32.23 inference(unit_resolution,[status(thm)],[15558, 15520])).
% 49.15/32.23 tff(15560,plain,
% 49.15/32.23 (v90(constB105, bitIndex1)),
% 49.15/32.23 inference(unit_resolution,[status(thm)],[15559, 15551])).
% 49.15/32.23 tff(15561,plain,
% 49.15/32.23 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB103)) | (~v130(constB103, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB103)) | (~v130(constB103, bitIndex0)))),
% 49.15/32.23 inference(rewrite,[status(thm)],[])).
% 49.15/32.23 tff(15562,plain,
% 49.15/32.23 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB103)) | (~v130(constB103, bitIndex0)))),
% 49.15/32.23 inference(quant_inst,[status(thm)],[])).
% 49.15/32.23 tff(15563,plain,
% 49.15/32.23 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB103)) | (~v130(constB103, bitIndex0))),
% 49.15/32.23 inference(modus_ponens,[status(thm)],[15562, 15561])).
% 49.15/32.23 tff(15564,plain,
% 49.15/32.23 (~v130(constB103, bitIndex0)),
% 49.15/32.23 inference(unit_resolution,[status(thm)],[15563, 975, 15418])).
% 49.15/32.23 tff(15565,assumption,(v127(constB103, bitIndex0)), introduced(assumption)).
% 49.15/32.23 tff(15566,assumption,(~v130(constB103, bitIndex0)), introduced(assumption)).
% 49.15/32.23 tff(15567,plain,
% 49.15/32.23 (((~![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))),
% 49.15/32.23 inference(rewrite,[status(thm)],[])).
% 49.15/32.23 tff(15568,plain,
% 49.15/32.23 ((v26(constB103) | v130(constB103, bitIndex0) | (~v127(constB103, bitIndex0))) <=> ((~v127(constB103, bitIndex0)) | v26(constB103) | v130(constB103, bitIndex0))),
% 49.15/32.23 inference(rewrite,[status(thm)],[])).
% 49.15/32.23 tff(15569,plain,
% 49.15/32.23 (((~![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)))),
% 49.15/32.23 inference(monotonicity,[status(thm)],[15568])).
% 49.15/32.23 tff(15570,plain,
% 49.15/32.23 (((~![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))),
% 49.15/32.23 inference(transitivity,[status(thm)],[15569, 15567])).
% 49.15/32.23 tff(15571,plain,
% 49.15/32.23 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB103) | v130(constB103, bitIndex0) | (~v127(constB103, bitIndex0)))),
% 49.15/32.23 inference(quant_inst,[status(thm)],[])).
% 49.15/32.23 tff(15572,plain,
% 49.15/32.23 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB103, bitIndex0)) | v26(constB103) | v130(constB103, bitIndex0)),
% 49.15/32.23 inference(modus_ponens,[status(thm)],[15571, 15570])).
% 49.15/32.23 tff(15573,plain,
% 49.15/32.23 ((~v127(constB103, bitIndex0)) | v26(constB103)),
% 49.15/32.23 inference(unit_resolution,[status(thm)],[15572, 524, 15566])).
% 49.15/32.23 tff(15574,plain,
% 49.15/32.23 (v26(constB103)),
% 49.15/32.23 inference(unit_resolution,[status(thm)],[15573, 15565])).
% 49.15/32.23 tff(15575,plain,
% 49.15/32.23 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB103)) | (~v127(constB103, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB103)) | (~v127(constB103, bitIndex0)))),
% 49.15/32.23 inference(rewrite,[status(thm)],[])).
% 49.15/32.23 tff(15576,plain,
% 49.15/32.23 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB103)) | (~v127(constB103, bitIndex0)))),
% 49.15/32.23 inference(quant_inst,[status(thm)],[])).
% 49.15/32.23 tff(15577,plain,
% 49.15/32.23 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB103)) | (~v127(constB103, bitIndex0))),
% 49.15/32.23 inference(modus_ponens,[status(thm)],[15576, 15575])).
% 49.15/32.23 tff(15578,plain,
% 49.15/32.23 ($false),
% 49.15/32.23 inference(unit_resolution,[status(thm)],[15577, 1514, 15565, 15574])).
% 49.15/32.23 tff(15579,plain,((~v127(constB103, bitIndex0)) | v130(constB103, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 49.15/32.23 tff(15580,plain,
% 49.15/32.23 (~v127(constB103, bitIndex0)),
% 49.15/32.23 inference(unit_resolution,[status(thm)],[15579, 15564])).
% 49.15/32.23 tff(15581,plain,
% 49.15/32.23 (((~![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)))),
% 49.15/32.23 inference(rewrite,[status(thm)],[])).
% 49.15/32.23 tff(15582,plain,
% 49.15/32.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB103, constB104)) | v127(constB103, bitIndex0) | (~v129(constB104, bitIndex0)))),
% 49.15/32.23 inference(quant_inst,[status(thm)],[])).
% 49.15/32.23 tff(15583,plain,
% 49.15/32.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB103, constB104)) | v127(constB103, bitIndex0) | (~v129(constB104, bitIndex0))),
% 49.15/32.23 inference(modus_ponens,[status(thm)],[15582, 15581])).
% 49.15/32.23 tff(15584,plain,
% 49.15/32.23 (v127(constB103, bitIndex0) | (~v129(constB104, bitIndex0))),
% 49.15/32.23 inference(unit_resolution,[status(thm)],[15583, 542, 15446])).
% 49.15/32.23 tff(15585,plain,
% 49.15/32.23 (~v129(constB104, bitIndex0)),
% 49.15/32.23 inference(unit_resolution,[status(thm)],[15584, 15580])).
% 49.15/32.23 tff(15586,plain,
% 49.15/32.23 (((~![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)))),
% 49.15/32.23 inference(rewrite,[status(thm)],[])).
% 49.15/32.23 tff(15587,plain,
% 49.15/32.23 (((~v90(constB104, bitIndex0)) | (~v100(constB104)) | v129(constB104, bitIndex0)) <=> ((~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0) | (~v100(constB104)))),
% 49.15/32.23 inference(rewrite,[status(thm)],[])).
% 49.15/32.23 tff(15588,plain,
% 49.15/32.23 (((~![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))))),
% 49.15/32.23 inference(monotonicity,[status(thm)],[15587])).
% 49.15/32.23 tff(15589,plain,
% 49.15/32.23 (((~![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)))),
% 49.15/32.23 inference(transitivity,[status(thm)],[15588, 15586])).
% 49.15/32.23 tff(15590,plain,
% 49.15/32.23 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB104, bitIndex0)) | (~v100(constB104)) | v129(constB104, bitIndex0))),
% 49.15/32.23 inference(quant_inst,[status(thm)],[])).
% 49.15/32.23 tff(15591,plain,
% 49.15/32.23 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB104, bitIndex0)) | v129(constB104, bitIndex0) | (~v100(constB104))),
% 49.15/32.23 inference(modus_ponens,[status(thm)],[15590, 15589])).
% 49.15/32.23 tff(15592,plain,
% 49.15/32.23 ((~v90(constB104, bitIndex0)) | (~v100(constB104))),
% 49.15/32.23 inference(unit_resolution,[status(thm)],[15591, 557, 15585])).
% 49.15/32.23 tff(15593,plain,
% 49.15/32.23 (~v90(constB104, bitIndex0)),
% 49.15/32.23 inference(unit_resolution,[status(thm)],[15592, 15480])).
% 49.15/32.23 tff(15594,plain,
% 49.15/32.23 (((~![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)))),
% 49.15/32.23 inference(rewrite,[status(thm)],[])).
% 49.15/32.23 tff(15595,plain,
% 49.15/32.23 (((~nextState(constB104, constB105)) | v90(constB104, bitIndex0) | v100(constB105) | (~v90(constB105, bitIndex0))) <=> (v90(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, bitIndex0)))),
% 49.15/32.23 inference(rewrite,[status(thm)],[])).
% 49.15/32.23 tff(15596,plain,
% 49.15/32.23 (((~![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))))),
% 49.15/32.23 inference(monotonicity,[status(thm)],[15595])).
% 49.15/32.23 tff(15597,plain,
% 49.15/32.23 (((~![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)))),
% 49.15/32.23 inference(transitivity,[status(thm)],[15596, 15594])).
% 49.15/32.23 tff(15598,plain,
% 49.15/32.23 ((~![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)))),
% 49.15/32.23 inference(quant_inst,[status(thm)],[])).
% 49.15/32.23 tff(15599,plain,
% 49.15/32.23 ((~![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))),
% 49.15/32.23 inference(modus_ponens,[status(thm)],[15598, 15597])).
% 49.15/32.23 tff(15600,plain,
% 49.15/32.23 (v90(constB104, bitIndex0) | v100(constB105) | (~v90(constB105, bitIndex0))),
% 49.15/32.23 inference(unit_resolution,[status(thm)],[15599, 123, 15508])).
% 49.15/32.23 tff(15601,plain,
% 49.15/32.23 (v90(constB104, bitIndex0) | (~v90(constB105, bitIndex0))),
% 49.15/32.23 inference(unit_resolution,[status(thm)],[15600, 15520])).
% 49.15/32.23 tff(15602,plain,
% 49.15/32.23 (~v90(constB105, bitIndex0)),
% 49.15/32.23 inference(unit_resolution,[status(thm)],[15601, 15593])).
% 49.15/32.23 tff(15603,plain,
% 49.15/32.23 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB105, bitIndex0) | (~v90(constB105, bitIndex1)) | (~v90(constB105, bitIndex2)) | v125(constB105))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB105, bitIndex0) | (~v90(constB105, bitIndex1)) | (~v90(constB105, bitIndex2)) | v125(constB105))),
% 49.15/32.23 inference(rewrite,[status(thm)],[])).
% 49.15/32.23 tff(15604,plain,
% 49.15/32.23 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB105, bitIndex0) | (~v90(constB105, bitIndex1)) | (~v90(constB105, bitIndex2)) | v125(constB105))),
% 49.15/32.23 inference(quant_inst,[status(thm)],[])).
% 49.15/32.23 tff(15605,plain,
% 49.15/32.23 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB105, bitIndex0) | (~v90(constB105, bitIndex1)) | (~v90(constB105, bitIndex2)) | v125(constB105)),
% 49.15/32.23 inference(modus_ponens,[status(thm)],[15604, 15603])).
% 49.15/32.23 tff(15606,plain,
% 49.15/32.23 (v125(constB105)),
% 49.15/32.23 inference(unit_resolution,[status(thm)],[15605, 1019, 15602, 15560, 15529])).
% 49.15/32.23 tff(15607,plain,
% 49.15/32.23 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB105) | (~v125(constB105)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB105) | (~v125(constB105)))),
% 49.15/32.23 inference(rewrite,[status(thm)],[])).
% 49.15/32.23 tff(15608,plain,
% 49.15/32.23 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB105) | (~v125(constB105)))),
% 49.15/32.23 inference(quant_inst,[status(thm)],[])).
% 49.15/32.23 tff(15609,plain,
% 49.15/32.23 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB105) | (~v125(constB105))),
% 49.15/32.23 inference(modus_ponens,[status(thm)],[15608, 15607])).
% 49.15/32.23 tff(15610,plain,
% 49.15/32.23 (v113(constB105)),
% 49.15/32.23 inference(unit_resolution,[status(thm)],[15609, 1031, 15606])).
% 49.15/32.23 tff(15611,assumption,(v26(constB105)), introduced(assumption)).
% 49.15/32.23 tff(15612,plain,
% 49.15/32.23 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB105))),
% 49.15/32.23 inference(quant_inst,[status(thm)],[])).
% 49.15/32.23 tff(15613,plain,
% 49.15/32.23 ($false),
% 49.15/32.23 inference(unit_resolution,[status(thm)],[15612, 16, 15611])).
% 49.15/32.23 tff(15614,plain,(~v26(constB105)), inference(lemma,lemma(discharge,[]))).
% 49.15/32.23 tff(15615,plain,
% 49.15/32.23 (((~![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))),
% 49.15/32.23 inference(rewrite,[status(thm)],[])).
% 49.15/32.23 tff(15616,plain,
% 49.15/32.23 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB105) | (~v113(constB105)) | v112(constB105))),
% 49.15/32.23 inference(quant_inst,[status(thm)],[])).
% 49.15/32.23 tff(15617,plain,
% 49.15/32.23 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB105) | (~v113(constB105)) | v112(constB105)),
% 49.15/32.23 inference(modus_ponens,[status(thm)],[15616, 15615])).
% 49.15/32.23 tff(15618,plain,
% 49.15/32.23 ((~v113(constB105)) | v112(constB105)),
% 49.15/32.23 inference(unit_resolution,[status(thm)],[15617, 224, 15614])).
% 49.15/32.23 tff(15619,plain,
% 49.15/32.23 (v112(constB105)),
% 49.15/32.23 inference(unit_resolution,[status(thm)],[15618, 15610])).
% 49.15/32.23 tff(15620,plain,
% 49.15/32.23 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB105) | (~v112(constB105)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB105) | (~v112(constB105)))),
% 49.15/32.23 inference(rewrite,[status(thm)],[])).
% 49.15/32.23 tff(15621,plain,
% 49.15/32.23 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB105) | (~v112(constB105)))),
% 49.15/32.23 inference(quant_inst,[status(thm)],[])).
% 49.15/32.23 tff(15622,plain,
% 49.15/32.23 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB105) | (~v112(constB105))),
% 49.15/32.23 inference(modus_ponens,[status(thm)],[15621, 15620])).
% 49.15/32.23 tff(15623,plain,
% 49.15/32.23 (v108(constB105)),
% 49.15/32.23 inference(unit_resolution,[status(thm)],[15622, 236, 15619])).
% 49.15/32.23 tff(15624,plain,
% 49.15/32.23 (nextState(constB105, constB106) <=> nextState(constB105, constB106)),
% 49.15/32.23 inference(rewrite,[status(thm)],[])).
% 49.15/32.23 tff(15625,axiom,(nextState(constB105, constB106)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_105_1')).
% 49.15/32.23 tff(15626,plain,
% 49.15/32.23 (nextState(constB105, constB106)),
% 49.15/32.23 inference(modus_ponens,[status(thm)],[15625, 15624])).
% 49.15/32.23 tff(15627,plain,
% 49.15/32.23 (((~![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)))),
% 49.15/32.23 inference(rewrite,[status(thm)],[])).
% 49.15/32.23 tff(15628,plain,
% 49.15/32.23 (((~nextState(constB105, constB106)) | (~v108(constB105)) | v110(constB106)) <=> ((~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105)))),
% 49.15/32.23 inference(rewrite,[status(thm)],[])).
% 49.15/32.23 tff(15629,plain,
% 49.15/32.23 (((~![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))))),
% 49.15/32.23 inference(monotonicity,[status(thm)],[15628])).
% 49.15/32.23 tff(15630,plain,
% 49.15/32.23 (((~![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)))),
% 49.15/32.23 inference(transitivity,[status(thm)],[15629, 15627])).
% 49.15/32.23 tff(15631,plain,
% 49.15/32.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB105, constB106)) | (~v108(constB105)) | v110(constB106))),
% 49.15/32.23 inference(quant_inst,[status(thm)],[])).
% 49.15/32.23 tff(15632,plain,
% 49.15/32.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105))),
% 49.15/32.23 inference(modus_ponens,[status(thm)],[15631, 15630])).
% 49.15/32.23 tff(15633,plain,
% 49.15/32.23 (v110(constB106) | (~v108(constB105))),
% 49.15/32.23 inference(unit_resolution,[status(thm)],[15632, 253, 15626])).
% 49.15/32.23 tff(15634,plain,
% 49.15/32.23 (v110(constB106)),
% 49.15/32.23 inference(unit_resolution,[status(thm)],[15633, 15623])).
% 49.15/32.23 tff(15635,plain,
% 49.15/32.23 (((~![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)))),
% 49.15/32.23 inference(rewrite,[status(thm)],[])).
% 49.15/32.23 tff(15636,plain,
% 49.15/32.23 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB105) | (~nextState(constB105, constB106)) | (~v104(constB106)))),
% 49.15/32.23 inference(quant_inst,[status(thm)],[])).
% 49.15/32.23 tff(15637,plain,
% 49.15/32.23 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB105) | (~nextState(constB105, constB106)) | (~v104(constB106))),
% 49.15/32.23 inference(modus_ponens,[status(thm)],[15636, 15635])).
% 49.15/32.23 tff(15638,plain,
% 49.15/32.23 (~v104(constB106)),
% 49.15/32.23 inference(unit_resolution,[status(thm)],[15637, 271, 15626, 15505])).
% 49.15/32.23 tff(15639,plain,
% 49.15/32.23 (((~![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))),
% 49.15/32.23 inference(rewrite,[status(thm)],[])).
% 49.15/32.23 tff(15640,plain,
% 49.15/32.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB105, constB106)) | v102(constB106) | v104(constB106))),
% 49.15/32.23 inference(quant_inst,[status(thm)],[])).
% 49.15/32.23 tff(15641,plain,
% 49.15/32.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB105, constB106)) | v102(constB106) | v104(constB106)),
% 49.15/32.23 inference(modus_ponens,[status(thm)],[15640, 15639])).
% 49.15/32.23 tff(15642,plain,
% 49.15/32.23 (v102(constB106) | v104(constB106)),
% 49.15/32.23 inference(unit_resolution,[status(thm)],[15641, 285, 15626])).
% 49.15/32.23 tff(15643,plain,
% 49.15/32.23 (v102(constB106)),
% 49.15/32.23 inference(unit_resolution,[status(thm)],[15642, 15638])).
% 49.15/32.23 tff(15644,plain,
% 49.15/32.23 (v1(constB106) <=> v1(constB106)),
% 49.15/32.23 inference(rewrite,[status(thm)],[])).
% 49.15/32.23 tff(15645,axiom,(v1(constB106)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_106_1')).
% 49.15/32.23 tff(15646,plain,
% 49.15/32.23 (v1(constB106)),
% 49.15/32.23 inference(modus_ponens,[status(thm)],[15645, 15644])).
% 49.15/32.23 tff(15647,plain,
% 49.15/32.23 (((~![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)))),
% 49.15/32.23 inference(rewrite,[status(thm)],[])).
% 49.15/32.23 tff(15648,plain,
% 49.15/32.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB105, constB106)) | v101(constB106) | (~v102(constB106)) | (~v1(constB106)))),
% 49.15/32.23 inference(quant_inst,[status(thm)],[])).
% 49.15/32.23 tff(15649,plain,
% 49.15/32.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB105, constB106)) | v101(constB106) | (~v102(constB106)) | (~v1(constB106))),
% 49.15/32.23 inference(modus_ponens,[status(thm)],[15648, 15647])).
% 49.15/32.23 tff(15650,plain,
% 49.15/32.23 (v101(constB106) | (~v102(constB106))),
% 49.15/32.23 inference(unit_resolution,[status(thm)],[15649, 303, 15626, 15646])).
% 49.15/32.23 tff(15651,plain,
% 49.15/32.23 (v101(constB106)),
% 49.15/32.23 inference(unit_resolution,[status(thm)],[15650, 15643])).
% 49.15/32.23 tff(15652,plain,
% 49.15/32.23 (((~![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)))),
% 49.15/32.23 inference(rewrite,[status(thm)],[])).
% 49.15/32.23 tff(15653,plain,
% 49.15/32.23 (((~nextState(constB105, constB106)) | (~v101(constB106)) | (~v110(constB106)) | v100(constB106)) <=> ((~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106)))),
% 49.15/32.23 inference(rewrite,[status(thm)],[])).
% 49.15/32.23 tff(15654,plain,
% 49.15/32.23 (((~![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))))),
% 49.15/32.23 inference(monotonicity,[status(thm)],[15653])).
% 49.15/32.23 tff(15655,plain,
% 49.15/32.23 (((~![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)))),
% 49.15/32.23 inference(transitivity,[status(thm)],[15654, 15652])).
% 49.15/32.23 tff(15656,plain,
% 49.15/32.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB105, constB106)) | (~v101(constB106)) | (~v110(constB106)) | v100(constB106))),
% 49.15/32.23 inference(quant_inst,[status(thm)],[])).
% 49.15/32.23 tff(15657,plain,
% 49.15/32.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106))),
% 49.15/32.23 inference(modus_ponens,[status(thm)],[15656, 15655])).
% 49.15/32.23 tff(15658,plain,
% 49.15/32.23 (v100(constB106) | (~v101(constB106)) | (~v110(constB106))),
% 49.15/32.23 inference(unit_resolution,[status(thm)],[15657, 318, 15626])).
% 49.15/32.23 tff(15659,plain,
% 49.15/32.23 (v100(constB106) | (~v110(constB106))),
% 49.15/32.23 inference(unit_resolution,[status(thm)],[15658, 15651])).
% 49.15/32.23 tff(15660,plain,
% 49.15/32.23 (v100(constB106)),
% 49.15/32.23 inference(unit_resolution,[status(thm)],[15659, 15634])).
% 49.15/32.23 tff(15661,plain,
% 49.15/32.23 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB105, bitIndex2)) | (~v122(constB105)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB105, bitIndex2)) | (~v122(constB105)))),
% 49.15/32.23 inference(rewrite,[status(thm)],[])).
% 49.15/32.23 tff(15662,plain,
% 49.15/32.23 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB105, bitIndex2)) | (~v122(constB105)))),
% 49.15/32.23 inference(quant_inst,[status(thm)],[])).
% 49.15/32.23 tff(15663,plain,
% 49.15/32.23 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB105, bitIndex2)) | (~v122(constB105))),
% 49.15/32.23 inference(modus_ponens,[status(thm)],[15662, 15661])).
% 49.15/32.23 tff(15664,plain,
% 49.15/32.23 (~v122(constB105)),
% 49.15/32.23 inference(unit_resolution,[status(thm)],[15663, 894, 15529])).
% 49.15/32.23 tff(15665,plain,
% 49.15/32.23 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB105, bitIndex2)) | (~v121(constB105)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB105, bitIndex2)) | (~v121(constB105)))),
% 49.15/32.23 inference(rewrite,[status(thm)],[])).
% 49.15/32.23 tff(15666,plain,
% 49.15/32.23 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB105, bitIndex2)) | (~v121(constB105)))),
% 49.15/32.23 inference(quant_inst,[status(thm)],[])).
% 49.15/32.23 tff(15667,plain,
% 49.15/32.23 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB105, bitIndex2)) | (~v121(constB105))),
% 49.15/32.23 inference(modus_ponens,[status(thm)],[15666, 15665])).
% 49.15/32.23 tff(15668,plain,
% 49.15/32.23 (~v121(constB105)),
% 49.15/32.23 inference(unit_resolution,[status(thm)],[15667, 883, 15529])).
% 49.15/32.23 tff(15669,plain,
% 49.15/32.23 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB105, bitIndex1)) | (~v123(constB105)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB105, bitIndex1)) | (~v123(constB105)))),
% 49.15/32.23 inference(rewrite,[status(thm)],[])).
% 49.15/32.23 tff(15670,plain,
% 49.15/32.23 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB105, bitIndex1)) | (~v123(constB105)))),
% 49.15/32.23 inference(quant_inst,[status(thm)],[])).
% 49.15/32.23 tff(15671,plain,
% 49.15/32.23 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB105, bitIndex1)) | (~v123(constB105))),
% 49.15/32.23 inference(modus_ponens,[status(thm)],[15670, 15669])).
% 49.15/32.23 tff(15672,plain,
% 49.15/32.23 (~v123(constB105)),
% 49.15/32.23 inference(unit_resolution,[status(thm)],[15671, 774, 15560])).
% 49.15/32.23 tff(15673,plain,
% 49.15/32.23 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB105)) | (~v90(constB105, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB105)) | (~v90(constB105, bitIndex1)))),
% 49.15/32.23 inference(rewrite,[status(thm)],[])).
% 49.15/32.23 tff(15674,plain,
% 49.15/32.23 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB105)) | (~v90(constB105, bitIndex1)))),
% 49.15/32.23 inference(quant_inst,[status(thm)],[])).
% 49.15/32.23 tff(15675,plain,
% 49.15/32.23 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB105)) | (~v90(constB105, bitIndex1))),
% 49.15/32.23 inference(modus_ponens,[status(thm)],[15674, 15673])).
% 49.15/32.23 tff(15676,plain,
% 49.15/32.23 (~v119(constB105)),
% 49.15/32.23 inference(unit_resolution,[status(thm)],[15675, 2293, 15560])).
% 49.15/32.23 tff(15677,plain,
% 49.15/32.23 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB105, bitIndex1)) | (~v124(constB105)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB105, bitIndex1)) | (~v124(constB105)))),
% 49.15/32.23 inference(rewrite,[status(thm)],[])).
% 49.15/32.23 tff(15678,plain,
% 49.15/32.23 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB105, bitIndex1)) | (~v124(constB105)))),
% 49.15/32.23 inference(quant_inst,[status(thm)],[])).
% 49.15/32.23 tff(15679,plain,
% 49.15/32.23 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB105, bitIndex1)) | (~v124(constB105))),
% 49.15/32.23 inference(modus_ponens,[status(thm)],[15678, 15677])).
% 49.15/32.23 tff(15680,plain,
% 49.15/32.23 (~v124(constB105)),
% 49.15/32.23 inference(unit_resolution,[status(thm)],[15679, 763, 15560])).
% 49.15/32.23 tff(15681,plain,
% 49.15/32.23 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB105, bitIndex1)) | (~v120(constB105)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB105, bitIndex1)) | (~v120(constB105)))),
% 49.15/32.24 inference(rewrite,[status(thm)],[])).
% 49.15/32.24 tff(15682,plain,
% 49.15/32.24 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB105, bitIndex1)) | (~v120(constB105)))),
% 49.15/32.24 inference(quant_inst,[status(thm)],[])).
% 49.15/32.24 tff(15683,plain,
% 49.15/32.24 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB105, bitIndex1)) | (~v120(constB105))),
% 49.15/32.24 inference(modus_ponens,[status(thm)],[15682, 15681])).
% 49.15/32.24 tff(15684,plain,
% 49.15/32.24 (~v120(constB105)),
% 49.15/32.24 inference(unit_resolution,[status(thm)],[15683, 2312, 15560])).
% 49.15/32.24 tff(15685,plain,
% 49.15/32.24 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB105) | v123(constB105) | v120(constB105) | v119(constB105) | v122(constB105) | v121(constB105) | (~v130(constB105, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB105) | v123(constB105) | v120(constB105) | v119(constB105) | v122(constB105) | v121(constB105) | (~v130(constB105, bitIndex2)))),
% 49.15/32.24 inference(rewrite,[status(thm)],[])).
% 49.15/32.24 tff(15686,plain,
% 49.15/32.24 ((v120(constB105) | v119(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | (~v130(constB105, bitIndex2))) <=> (v124(constB105) | v123(constB105) | v120(constB105) | v119(constB105) | v122(constB105) | v121(constB105) | (~v130(constB105, bitIndex2)))),
% 49.15/32.24 inference(rewrite,[status(thm)],[])).
% 49.15/32.24 tff(15687,plain,
% 49.15/32.24 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB105) | v119(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | (~v130(constB105, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB105) | v123(constB105) | v120(constB105) | v119(constB105) | v122(constB105) | v121(constB105) | (~v130(constB105, bitIndex2))))),
% 49.15/32.24 inference(monotonicity,[status(thm)],[15686])).
% 49.15/32.24 tff(15688,plain,
% 49.15/32.24 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB105) | v119(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | (~v130(constB105, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB105) | v123(constB105) | v120(constB105) | v119(constB105) | v122(constB105) | v121(constB105) | (~v130(constB105, bitIndex2)))),
% 49.15/32.24 inference(transitivity,[status(thm)],[15687, 15685])).
% 49.15/32.24 tff(15689,plain,
% 49.15/32.24 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB105) | v119(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | (~v130(constB105, bitIndex2)))),
% 49.15/32.24 inference(quant_inst,[status(thm)],[])).
% 49.15/32.24 tff(15690,plain,
% 49.15/32.24 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB105) | v123(constB105) | v120(constB105) | v119(constB105) | v122(constB105) | v121(constB105) | (~v130(constB105, bitIndex2))),
% 49.15/32.24 inference(modus_ponens,[status(thm)],[15689, 15688])).
% 49.15/32.24 tff(15691,plain,
% 49.15/32.24 (~v130(constB105, bitIndex2)),
% 49.15/32.24 inference(unit_resolution,[status(thm)],[15690, 1192, 15684, 15680, 15676, 15672, 15668, 15664])).
% 49.15/32.24 tff(15692,plain,
% 49.15/32.24 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB105, bitIndex2)) | v26(constB105) | v130(constB105, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB105, bitIndex2)) | v26(constB105) | v130(constB105, bitIndex2))),
% 49.15/32.24 inference(rewrite,[status(thm)],[])).
% 49.15/32.24 tff(15693,plain,
% 49.15/32.24 ((v26(constB105) | v130(constB105, bitIndex2) | (~v127(constB105, bitIndex2))) <=> ((~v127(constB105, bitIndex2)) | v26(constB105) | v130(constB105, bitIndex2))),
% 49.15/32.24 inference(rewrite,[status(thm)],[])).
% 49.15/32.24 tff(15694,plain,
% 49.15/32.24 (((~![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)))) | ((~v127(constB105, bitIndex2)) | v26(constB105) | v130(constB105, bitIndex2)))),
% 49.15/32.24 inference(monotonicity,[status(thm)],[15693])).
% 49.15/32.24 tff(15695,plain,
% 49.15/32.24 (((~![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)))) | (~v127(constB105, bitIndex2)) | v26(constB105) | v130(constB105, bitIndex2))),
% 49.15/32.24 inference(transitivity,[status(thm)],[15694, 15692])).
% 49.15/32.24 tff(15696,plain,
% 49.15/32.24 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB105) | v130(constB105, bitIndex2) | (~v127(constB105, bitIndex2)))),
% 49.15/32.24 inference(quant_inst,[status(thm)],[])).
% 49.15/32.24 tff(15697,plain,
% 49.15/32.24 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB105, bitIndex2)) | v26(constB105) | v130(constB105, bitIndex2)),
% 49.15/32.24 inference(modus_ponens,[status(thm)],[15696, 15695])).
% 49.15/32.24 tff(15698,plain,
% 49.15/32.24 ((~v127(constB105, bitIndex2)) | v130(constB105, bitIndex2)),
% 49.15/32.24 inference(unit_resolution,[status(thm)],[15697, 1210, 15614])).
% 49.15/32.24 tff(15699,plain,
% 49.15/32.24 (~v127(constB105, bitIndex2)),
% 49.15/32.24 inference(unit_resolution,[status(thm)],[15698, 15691])).
% 49.15/32.24 tff(15700,plain,
% 49.15/32.24 (((~![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)))),
% 49.15/32.24 inference(rewrite,[status(thm)],[])).
% 49.15/32.24 tff(15701,plain,
% 49.15/32.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB105, constB106)) | v127(constB105, bitIndex2) | (~v129(constB106, bitIndex2)))),
% 49.15/32.24 inference(quant_inst,[status(thm)],[])).
% 49.15/32.24 tff(15702,plain,
% 49.15/32.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB105, constB106)) | v127(constB105, bitIndex2) | (~v129(constB106, bitIndex2))),
% 49.15/32.24 inference(modus_ponens,[status(thm)],[15701, 15700])).
% 49.15/32.24 tff(15703,plain,
% 49.15/32.24 (v127(constB105, bitIndex2) | (~v129(constB106, bitIndex2))),
% 49.15/32.24 inference(unit_resolution,[status(thm)],[15702, 1243, 15626])).
% 49.15/32.24 tff(15704,plain,
% 49.15/32.24 (~v129(constB106, bitIndex2)),
% 49.15/32.24 inference(unit_resolution,[status(thm)],[15703, 15699])).
% 49.15/32.24 tff(15705,plain,
% 49.15/32.24 (((~![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)))),
% 49.15/32.24 inference(rewrite,[status(thm)],[])).
% 49.15/32.24 tff(15706,plain,
% 49.15/32.24 (((~v90(constB106, bitIndex2)) | (~v100(constB106)) | v129(constB106, bitIndex2)) <=> ((~v90(constB106, bitIndex2)) | v129(constB106, bitIndex2) | (~v100(constB106)))),
% 49.15/32.24 inference(rewrite,[status(thm)],[])).
% 49.15/32.24 tff(15707,plain,
% 49.15/32.24 (((~![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))))),
% 49.15/32.24 inference(monotonicity,[status(thm)],[15706])).
% 49.15/32.24 tff(15708,plain,
% 49.15/32.24 (((~![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)))),
% 49.15/32.24 inference(transitivity,[status(thm)],[15707, 15705])).
% 49.15/32.24 tff(15709,plain,
% 49.15/32.24 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB106, bitIndex2)) | (~v100(constB106)) | v129(constB106, bitIndex2))),
% 49.15/32.24 inference(quant_inst,[status(thm)],[])).
% 49.15/32.24 tff(15710,plain,
% 49.15/32.24 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB106, bitIndex2)) | v129(constB106, bitIndex2) | (~v100(constB106))),
% 49.15/32.24 inference(modus_ponens,[status(thm)],[15709, 15708])).
% 49.15/32.24 tff(15711,plain,
% 49.15/32.24 ((~v90(constB106, bitIndex2)) | (~v100(constB106))),
% 49.15/32.24 inference(unit_resolution,[status(thm)],[15710, 1258, 15704])).
% 49.15/32.24 tff(15712,plain,
% 49.15/32.24 (~v90(constB106, bitIndex2)),
% 49.15/32.24 inference(unit_resolution,[status(thm)],[15711, 15660])).
% 49.15/32.24 tff(15713,plain,
% 49.15/32.24 ((~v1(constB107)) <=> (~v1(constB107))),
% 49.15/32.24 inference(rewrite,[status(thm)],[])).
% 49.15/32.24 tff(15714,axiom,(~v1(constB107)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_107_1_1')).
% 49.15/32.24 tff(15715,plain,
% 49.15/32.24 (~v1(constB107)),
% 49.15/32.24 inference(modus_ponens,[status(thm)],[15714, 15713])).
% 49.15/32.24 tff(15716,plain,
% 49.15/32.24 (nextState(constB106, constB107) <=> nextState(constB106, constB107)),
% 49.15/32.24 inference(rewrite,[status(thm)],[])).
% 49.15/32.24 tff(15717,axiom,(nextState(constB106, constB107)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_106_1')).
% 49.15/32.24 tff(15718,plain,
% 49.15/32.24 (nextState(constB106, constB107)),
% 49.15/32.24 inference(modus_ponens,[status(thm)],[15717, 15716])).
% 49.15/32.24 tff(15719,plain,
% 49.15/32.24 (((~![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)))),
% 49.15/32.24 inference(rewrite,[status(thm)],[])).
% 49.15/32.24 tff(15720,plain,
% 49.15/32.24 (((~nextState(constB106, constB107)) | (~v101(constB107)) | v1(constB107)) <=> (v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107)))),
% 49.15/32.24 inference(rewrite,[status(thm)],[])).
% 49.15/32.24 tff(15721,plain,
% 49.15/32.24 (((~![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))))),
% 49.15/32.24 inference(monotonicity,[status(thm)],[15720])).
% 49.15/32.24 tff(15722,plain,
% 49.15/32.24 (((~![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)))),
% 49.15/32.24 inference(transitivity,[status(thm)],[15721, 15719])).
% 49.15/32.24 tff(15723,plain,
% 49.15/32.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB106, constB107)) | (~v101(constB107)) | v1(constB107))),
% 49.15/32.24 inference(quant_inst,[status(thm)],[])).
% 49.15/32.24 tff(15724,plain,
% 49.15/32.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107))),
% 49.15/32.24 inference(modus_ponens,[status(thm)],[15723, 15722])).
% 49.15/32.24 tff(15725,plain,
% 49.15/32.24 (~v101(constB107)),
% 49.15/32.24 inference(unit_resolution,[status(thm)],[15724, 49, 15718, 15715])).
% 49.15/32.24 tff(15726,plain,
% 49.15/32.24 (((~![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)))),
% 49.15/32.24 inference(rewrite,[status(thm)],[])).
% 49.15/32.24 tff(15727,plain,
% 49.15/32.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB106, constB107)) | v101(constB107) | (~v100(constB107)))),
% 49.15/32.24 inference(quant_inst,[status(thm)],[])).
% 49.15/32.24 tff(15728,plain,
% 49.15/32.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB106, constB107)) | v101(constB107) | (~v100(constB107))),
% 49.15/32.24 inference(modus_ponens,[status(thm)],[15727, 15726])).
% 49.15/32.24 tff(15729,plain,
% 49.15/32.24 (v101(constB107) | (~v100(constB107))),
% 49.15/32.24 inference(unit_resolution,[status(thm)],[15728, 66, 15718])).
% 49.15/32.24 tff(15730,plain,
% 49.15/32.24 (~v100(constB107)),
% 49.15/32.24 inference(unit_resolution,[status(thm)],[15729, 15725])).
% 49.15/32.24 tff(15731,plain,
% 49.15/32.24 (((~![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)))),
% 49.15/32.24 inference(rewrite,[status(thm)],[])).
% 49.15/32.24 tff(15732,plain,
% 49.15/32.24 (((~nextState(constB106, constB107)) | v90(constB106, bitIndex2) | v100(constB107) | (~v90(constB107, bitIndex2))) <=> (v90(constB106, bitIndex2) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex2)))),
% 49.15/32.24 inference(rewrite,[status(thm)],[])).
% 49.15/32.24 tff(15733,plain,
% 49.15/32.24 (((~![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))))),
% 49.15/32.24 inference(monotonicity,[status(thm)],[15732])).
% 49.15/32.24 tff(15734,plain,
% 49.15/32.24 (((~![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)))),
% 49.15/32.24 inference(transitivity,[status(thm)],[15733, 15731])).
% 49.15/32.24 tff(15735,plain,
% 49.15/32.24 ((~![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)))),
% 49.15/32.24 inference(quant_inst,[status(thm)],[])).
% 49.15/32.24 tff(15736,plain,
% 49.15/32.24 ((~![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))),
% 49.15/32.24 inference(modus_ponens,[status(thm)],[15735, 15734])).
% 49.15/32.24 tff(15737,plain,
% 49.15/32.24 (v90(constB106, bitIndex2) | v100(constB107) | (~v90(constB107, bitIndex2))),
% 49.15/32.24 inference(unit_resolution,[status(thm)],[15736, 81, 15718])).
% 49.15/32.24 tff(15738,plain,
% 49.15/32.24 (v90(constB106, bitIndex2) | (~v90(constB107, bitIndex2))),
% 49.15/32.24 inference(unit_resolution,[status(thm)],[15737, 15730])).
% 49.15/32.24 tff(15739,plain,
% 49.15/32.24 (~v90(constB107, bitIndex2)),
% 49.15/32.24 inference(unit_resolution,[status(thm)],[15738, 15712])).
% 49.15/32.24 tff(15740,plain,
% 49.15/32.24 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB105) | v123(constB105) | v120(constB105) | v119(constB105) | v122(constB105) | v121(constB105) | (~v130(constB105, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB105) | v123(constB105) | v120(constB105) | v119(constB105) | v122(constB105) | v121(constB105) | (~v130(constB105, bitIndex1)))),
% 49.15/32.24 inference(rewrite,[status(thm)],[])).
% 49.15/32.24 tff(15741,plain,
% 49.15/32.24 ((v120(constB105) | v119(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | (~v130(constB105, bitIndex1))) <=> (v124(constB105) | v123(constB105) | v120(constB105) | v119(constB105) | v122(constB105) | v121(constB105) | (~v130(constB105, bitIndex1)))),
% 49.15/32.24 inference(rewrite,[status(thm)],[])).
% 49.15/32.24 tff(15742,plain,
% 49.15/32.24 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB105) | v119(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | (~v130(constB105, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB105) | v123(constB105) | v120(constB105) | v119(constB105) | v122(constB105) | v121(constB105) | (~v130(constB105, bitIndex1))))),
% 49.15/32.24 inference(monotonicity,[status(thm)],[15741])).
% 49.15/32.24 tff(15743,plain,
% 49.15/32.24 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB105) | v119(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | (~v130(constB105, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB105) | v123(constB105) | v120(constB105) | v119(constB105) | v122(constB105) | v121(constB105) | (~v130(constB105, bitIndex1)))),
% 49.15/32.24 inference(transitivity,[status(thm)],[15742, 15740])).
% 49.15/32.24 tff(15744,plain,
% 49.15/32.24 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB105) | v119(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | (~v130(constB105, bitIndex1)))),
% 49.15/32.24 inference(quant_inst,[status(thm)],[])).
% 49.15/32.24 tff(15745,plain,
% 49.15/32.24 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB105) | v123(constB105) | v120(constB105) | v119(constB105) | v122(constB105) | v121(constB105) | (~v130(constB105, bitIndex1))),
% 49.15/32.24 inference(modus_ponens,[status(thm)],[15744, 15743])).
% 49.15/32.24 tff(15746,plain,
% 49.15/32.24 (~v130(constB105, bitIndex1)),
% 49.15/32.24 inference(unit_resolution,[status(thm)],[15745, 1143, 15684, 15680, 15676, 15672, 15668, 15664])).
% 49.15/32.24 tff(15747,plain,
% 49.15/32.24 (((~![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))),
% 49.15/32.24 inference(rewrite,[status(thm)],[])).
% 49.15/32.24 tff(15748,plain,
% 49.15/32.24 ((v26(constB105) | v130(constB105, bitIndex1) | (~v127(constB105, bitIndex1))) <=> ((~v127(constB105, bitIndex1)) | v26(constB105) | v130(constB105, bitIndex1))),
% 49.15/32.24 inference(rewrite,[status(thm)],[])).
% 49.15/32.24 tff(15749,plain,
% 49.15/32.24 (((~![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)))),
% 49.15/32.24 inference(monotonicity,[status(thm)],[15748])).
% 49.15/32.24 tff(15750,plain,
% 49.15/32.24 (((~![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))),
% 49.15/32.24 inference(transitivity,[status(thm)],[15749, 15747])).
% 49.15/32.24 tff(15751,plain,
% 49.15/32.24 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB105) | v130(constB105, bitIndex1) | (~v127(constB105, bitIndex1)))),
% 49.15/32.24 inference(quant_inst,[status(thm)],[])).
% 49.15/32.24 tff(15752,plain,
% 49.15/32.24 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB105, bitIndex1)) | v26(constB105) | v130(constB105, bitIndex1)),
% 49.15/32.24 inference(modus_ponens,[status(thm)],[15751, 15750])).
% 49.15/32.24 tff(15753,plain,
% 49.15/32.24 ((~v127(constB105, bitIndex1)) | v130(constB105, bitIndex1)),
% 49.15/32.24 inference(unit_resolution,[status(thm)],[15752, 450, 15614])).
% 49.15/32.24 tff(15754,plain,
% 49.15/32.24 (~v127(constB105, bitIndex1)),
% 49.15/32.24 inference(unit_resolution,[status(thm)],[15753, 15746])).
% 49.15/32.24 tff(15755,plain,
% 49.15/32.24 (((~![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)))),
% 49.15/32.24 inference(rewrite,[status(thm)],[])).
% 49.15/32.24 tff(15756,plain,
% 49.15/32.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB105, constB106)) | v127(constB105, bitIndex1) | (~v129(constB106, bitIndex1)))),
% 49.15/32.24 inference(quant_inst,[status(thm)],[])).
% 49.15/32.24 tff(15757,plain,
% 49.15/32.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB105, constB106)) | v127(constB105, bitIndex1) | (~v129(constB106, bitIndex1))),
% 49.15/32.24 inference(modus_ponens,[status(thm)],[15756, 15755])).
% 49.15/32.24 tff(15758,plain,
% 49.15/32.24 (v127(constB105, bitIndex1) | (~v129(constB106, bitIndex1))),
% 49.15/32.24 inference(unit_resolution,[status(thm)],[15757, 468, 15626])).
% 49.15/32.24 tff(15759,plain,
% 49.15/32.24 (~v129(constB106, bitIndex1)),
% 49.15/32.24 inference(unit_resolution,[status(thm)],[15758, 15754])).
% 49.15/32.24 tff(15760,plain,
% 49.15/32.24 (((~![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)))),
% 49.15/32.24 inference(rewrite,[status(thm)],[])).
% 49.15/32.24 tff(15761,plain,
% 49.15/32.24 (((~v90(constB106, bitIndex1)) | (~v100(constB106)) | v129(constB106, bitIndex1)) <=> ((~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1) | (~v100(constB106)))),
% 49.15/32.24 inference(rewrite,[status(thm)],[])).
% 49.15/32.24 tff(15762,plain,
% 49.15/32.24 (((~![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))))),
% 49.15/32.24 inference(monotonicity,[status(thm)],[15761])).
% 49.15/32.24 tff(15763,plain,
% 49.15/32.24 (((~![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)))),
% 49.15/32.24 inference(transitivity,[status(thm)],[15762, 15760])).
% 49.15/32.24 tff(15764,plain,
% 49.15/32.24 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB106, bitIndex1)) | (~v100(constB106)) | v129(constB106, bitIndex1))),
% 49.15/32.24 inference(quant_inst,[status(thm)],[])).
% 49.15/32.24 tff(15765,plain,
% 49.15/32.24 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB106, bitIndex1)) | v129(constB106, bitIndex1) | (~v100(constB106))),
% 49.15/32.24 inference(modus_ponens,[status(thm)],[15764, 15763])).
% 49.15/32.24 tff(15766,plain,
% 49.15/32.24 ((~v90(constB106, bitIndex1)) | (~v100(constB106))),
% 49.15/32.24 inference(unit_resolution,[status(thm)],[15765, 483, 15759])).
% 49.15/32.24 tff(15767,plain,
% 49.15/32.24 (~v90(constB106, bitIndex1)),
% 49.15/32.24 inference(unit_resolution,[status(thm)],[15766, 15660])).
% 49.15/32.24 tff(15768,plain,
% 49.15/32.24 (((~![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)))),
% 49.15/32.24 inference(rewrite,[status(thm)],[])).
% 49.15/32.24 tff(15769,plain,
% 49.15/32.24 (((~nextState(constB106, constB107)) | v90(constB106, bitIndex1) | v100(constB107) | (~v90(constB107, bitIndex1))) <=> (v90(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, bitIndex1)))),
% 49.15/32.24 inference(rewrite,[status(thm)],[])).
% 49.15/32.24 tff(15770,plain,
% 49.15/32.24 (((~![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))))),
% 49.15/32.24 inference(monotonicity,[status(thm)],[15769])).
% 49.15/32.24 tff(15771,plain,
% 49.15/32.24 (((~![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)))),
% 49.15/32.24 inference(transitivity,[status(thm)],[15770, 15768])).
% 49.15/32.24 tff(15772,plain,
% 49.15/32.24 ((~![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)))),
% 49.15/32.24 inference(quant_inst,[status(thm)],[])).
% 49.15/32.24 tff(15773,plain,
% 49.15/32.24 ((~![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))),
% 49.15/32.24 inference(modus_ponens,[status(thm)],[15772, 15771])).
% 49.15/32.24 tff(15774,plain,
% 49.15/32.24 (v90(constB106, bitIndex1) | v100(constB107) | (~v90(constB107, bitIndex1))),
% 49.15/32.24 inference(unit_resolution,[status(thm)],[15773, 102, 15718])).
% 49.15/32.24 tff(15775,plain,
% 49.15/32.24 (v90(constB106, bitIndex1) | (~v90(constB107, bitIndex1))),
% 49.15/32.24 inference(unit_resolution,[status(thm)],[15774, 15730])).
% 49.15/32.24 tff(15776,plain,
% 49.15/32.24 (~v90(constB107, bitIndex1)),
% 49.15/32.24 inference(unit_resolution,[status(thm)],[15775, 15767])).
% 49.15/32.24 tff(15777,plain,
% 49.15/32.24 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB105) | v123(constB105) | v120(constB105) | v119(constB105) | v122(constB105) | v121(constB105) | v130(constB105, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB105) | v123(constB105) | v120(constB105) | v119(constB105) | v122(constB105) | v121(constB105) | v130(constB105, bitIndex0))),
% 49.15/32.25 inference(rewrite,[status(thm)],[])).
% 49.15/32.25 tff(15778,plain,
% 49.15/32.25 ((v120(constB105) | v119(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | v130(constB105, bitIndex0)) <=> (v124(constB105) | v123(constB105) | v120(constB105) | v119(constB105) | v122(constB105) | v121(constB105) | v130(constB105, bitIndex0))),
% 49.15/32.25 inference(rewrite,[status(thm)],[])).
% 49.15/32.25 tff(15779,plain,
% 49.15/32.25 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB105) | v119(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | v130(constB105, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB105) | v123(constB105) | v120(constB105) | v119(constB105) | v122(constB105) | v121(constB105) | v130(constB105, bitIndex0)))),
% 49.15/32.25 inference(monotonicity,[status(thm)],[15778])).
% 49.15/32.25 tff(15780,plain,
% 49.15/32.25 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB105) | v119(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | v130(constB105, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB105) | v123(constB105) | v120(constB105) | v119(constB105) | v122(constB105) | v121(constB105) | v130(constB105, bitIndex0))),
% 49.15/32.25 inference(transitivity,[status(thm)],[15779, 15777])).
% 49.15/32.25 tff(15781,plain,
% 49.15/32.25 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB105) | v119(constB105) | v121(constB105) | v122(constB105) | v123(constB105) | v124(constB105) | v130(constB105, bitIndex0))),
% 49.15/32.25 inference(quant_inst,[status(thm)],[])).
% 49.15/32.25 tff(15782,plain,
% 49.15/32.25 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB105) | v123(constB105) | v120(constB105) | v119(constB105) | v122(constB105) | v121(constB105) | v130(constB105, bitIndex0)),
% 49.15/32.25 inference(modus_ponens,[status(thm)],[15781, 15780])).
% 49.15/32.25 tff(15783,plain,
% 49.15/32.25 (v130(constB105, bitIndex0)),
% 49.15/32.25 inference(unit_resolution,[status(thm)],[15782, 908, 15684, 15680, 15676, 15672, 15668, 15664])).
% 49.15/32.25 tff(15784,plain,
% 49.15/32.25 (((~![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))),
% 49.15/32.25 inference(rewrite,[status(thm)],[])).
% 49.15/32.25 tff(15785,plain,
% 49.15/32.25 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB105) | (~v130(constB105, bitIndex0)) | v127(constB105, bitIndex0))),
% 49.15/32.25 inference(quant_inst,[status(thm)],[])).
% 49.15/32.25 tff(15786,plain,
% 49.15/32.25 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB105) | (~v130(constB105, bitIndex0)) | v127(constB105, bitIndex0)),
% 49.15/32.25 inference(modus_ponens,[status(thm)],[15785, 15784])).
% 49.15/32.25 tff(15787,plain,
% 49.15/32.25 ((~v130(constB105, bitIndex0)) | v127(constB105, bitIndex0)),
% 49.15/32.25 inference(unit_resolution,[status(thm)],[15786, 926, 15614])).
% 49.15/32.25 tff(15788,plain,
% 49.15/32.25 (v127(constB105, bitIndex0)),
% 49.15/32.25 inference(unit_resolution,[status(thm)],[15787, 15783])).
% 49.15/32.25 tff(15789,plain,
% 49.15/32.25 (((~![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))),
% 49.15/32.25 inference(rewrite,[status(thm)],[])).
% 49.15/32.25 tff(15790,plain,
% 49.15/32.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB105, constB106)) | (~v127(constB105, bitIndex0)) | v129(constB106, bitIndex0))),
% 49.15/32.25 inference(quant_inst,[status(thm)],[])).
% 49.15/32.25 tff(15791,plain,
% 49.15/32.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB105, constB106)) | (~v127(constB105, bitIndex0)) | v129(constB106, bitIndex0)),
% 49.15/32.25 inference(modus_ponens,[status(thm)],[15790, 15789])).
% 49.15/32.25 tff(15792,plain,
% 49.15/32.25 ((~v127(constB105, bitIndex0)) | v129(constB106, bitIndex0)),
% 49.15/32.25 inference(unit_resolution,[status(thm)],[15791, 944, 15626])).
% 49.15/32.25 tff(15793,plain,
% 49.15/32.25 (v129(constB106, bitIndex0)),
% 49.15/32.25 inference(unit_resolution,[status(thm)],[15792, 15788])).
% 49.15/32.25 tff(15794,plain,
% 49.15/32.25 (((~![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)))),
% 49.15/32.25 inference(rewrite,[status(thm)],[])).
% 49.15/32.25 tff(15795,plain,
% 49.15/32.25 ((v90(constB106, bitIndex0) | (~v100(constB106)) | (~v129(constB106, bitIndex0))) <=> (v90(constB106, bitIndex0) | (~v129(constB106, bitIndex0)) | (~v100(constB106)))),
% 49.15/32.25 inference(rewrite,[status(thm)],[])).
% 49.15/32.25 tff(15796,plain,
% 49.15/32.25 (((~![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))))),
% 49.15/32.25 inference(monotonicity,[status(thm)],[15795])).
% 49.15/32.25 tff(15797,plain,
% 49.15/32.25 (((~![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)))),
% 49.15/32.25 inference(transitivity,[status(thm)],[15796, 15794])).
% 49.15/32.25 tff(15798,plain,
% 49.15/32.25 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB106, bitIndex0) | (~v100(constB106)) | (~v129(constB106, bitIndex0)))),
% 49.15/32.25 inference(quant_inst,[status(thm)],[])).
% 49.15/32.25 tff(15799,plain,
% 49.15/32.25 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB106, bitIndex0) | (~v129(constB106, bitIndex0)) | (~v100(constB106))),
% 49.15/32.25 inference(modus_ponens,[status(thm)],[15798, 15797])).
% 49.15/32.25 tff(15800,plain,
% 49.15/32.25 (v90(constB106, bitIndex0) | (~v100(constB106))),
% 49.15/32.25 inference(unit_resolution,[status(thm)],[15799, 1088, 15793])).
% 49.15/32.25 tff(15801,plain,
% 49.15/32.25 (v90(constB106, bitIndex0)),
% 49.15/32.25 inference(unit_resolution,[status(thm)],[15800, 15660])).
% 49.15/32.25 tff(15802,plain,
% 49.15/32.25 (((~![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))),
% 49.15/32.25 inference(rewrite,[status(thm)],[])).
% 49.15/32.25 tff(15803,plain,
% 49.15/32.25 (((~nextState(constB106, constB107)) | (~v90(constB106, bitIndex0)) | v100(constB107) | v90(constB107, bitIndex0)) <=> ((~v90(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, bitIndex0))),
% 49.15/32.25 inference(rewrite,[status(thm)],[])).
% 49.15/32.25 tff(15804,plain,
% 49.15/32.25 (((~![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)))),
% 49.15/32.25 inference(monotonicity,[status(thm)],[15803])).
% 49.15/32.25 tff(15805,plain,
% 49.15/32.25 (((~![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))),
% 49.15/32.25 inference(transitivity,[status(thm)],[15804, 15802])).
% 49.15/32.25 tff(15806,plain,
% 49.15/32.25 ((~![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))),
% 49.15/32.25 inference(quant_inst,[status(thm)],[])).
% 49.15/32.25 tff(15807,plain,
% 49.15/32.25 ((~![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)),
% 49.15/32.25 inference(modus_ponens,[status(thm)],[15806, 15805])).
% 49.15/32.25 tff(15808,plain,
% 49.15/32.25 ((~v90(constB106, bitIndex0)) | v100(constB107) | v90(constB107, bitIndex0)),
% 49.15/32.25 inference(unit_resolution,[status(thm)],[15807, 1124, 15718])).
% 49.15/32.25 tff(15809,plain,
% 49.15/32.25 ((~v90(constB106, bitIndex0)) | v90(constB107, bitIndex0)),
% 49.15/32.25 inference(unit_resolution,[status(thm)],[15808, 15730])).
% 49.15/32.25 tff(15810,plain,
% 49.15/32.25 (v90(constB107, bitIndex0)),
% 49.15/32.25 inference(unit_resolution,[status(thm)],[15809, 15801])).
% 49.15/32.25 tff(15811,plain,
% 49.15/32.25 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2) | v120(constB107))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2) | v120(constB107))),
% 49.15/32.25 inference(rewrite,[status(thm)],[])).
% 49.15/32.25 tff(15812,plain,
% 49.15/32.25 (((~v90(constB107, bitIndex0)) | v120(constB107) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2)) <=> ((~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2) | v120(constB107))),
% 49.15/32.25 inference(rewrite,[status(thm)],[])).
% 49.15/32.25 tff(15813,plain,
% 49.15/32.25 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB107, bitIndex0)) | v120(constB107) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2) | v120(constB107)))),
% 49.15/32.25 inference(monotonicity,[status(thm)],[15812])).
% 49.15/32.25 tff(15814,plain,
% 49.15/32.25 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB107, bitIndex0)) | v120(constB107) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2) | v120(constB107))),
% 49.15/32.25 inference(transitivity,[status(thm)],[15813, 15811])).
% 49.15/32.25 tff(15815,plain,
% 49.15/32.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB107, bitIndex0)) | v120(constB107) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2))),
% 49.15/32.25 inference(quant_inst,[status(thm)],[])).
% 49.15/32.25 tff(15816,plain,
% 49.15/32.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB107, bitIndex0)) | v90(constB107, bitIndex1) | v90(constB107, bitIndex2) | v120(constB107)),
% 49.15/32.25 inference(modus_ponens,[status(thm)],[15815, 15814])).
% 49.15/32.25 tff(15817,plain,
% 49.15/32.25 (v120(constB107)),
% 49.15/32.25 inference(unit_resolution,[status(thm)],[15816, 1285, 15810, 15776, 15739])).
% 49.15/32.25 tff(15818,plain,
% 49.15/32.25 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB107) | (~v120(constB107)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB107) | (~v120(constB107)))),
% 49.15/32.25 inference(rewrite,[status(thm)],[])).
% 49.15/32.25 tff(15819,plain,
% 49.15/32.25 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB107) | (~v120(constB107)))),
% 49.15/32.25 inference(quant_inst,[status(thm)],[])).
% 49.15/32.25 tff(15820,plain,
% 49.15/32.25 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB107) | (~v120(constB107))),
% 49.15/32.25 inference(modus_ponens,[status(thm)],[15819, 15818])).
% 49.15/32.25 tff(15821,plain,
% 49.15/32.25 (v118(constB107)),
% 49.15/32.25 inference(unit_resolution,[status(thm)],[15820, 1302, 15817])).
% 49.15/32.25 tff(15822,plain,
% 49.15/32.25 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB107) | (~v118(constB107)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB107) | (~v118(constB107)))),
% 49.15/32.25 inference(rewrite,[status(thm)],[])).
% 49.15/32.25 tff(15823,plain,
% 49.15/32.25 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB107) | (~v118(constB107)))),
% 49.15/32.25 inference(quant_inst,[status(thm)],[])).
% 49.15/32.25 tff(15824,plain,
% 49.15/32.25 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB107) | (~v118(constB107))),
% 49.15/32.25 inference(modus_ponens,[status(thm)],[15823, 15822])).
% 49.15/32.25 tff(15825,plain,
% 49.15/32.25 (v117(constB107)),
% 49.15/32.25 inference(unit_resolution,[status(thm)],[15824, 166, 15821])).
% 49.15/32.25 tff(15826,plain,
% 49.15/32.25 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB107) | (~v117(constB107)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB107) | (~v117(constB107)))),
% 49.15/32.25 inference(rewrite,[status(thm)],[])).
% 49.15/32.25 tff(15827,plain,
% 49.15/32.25 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB107) | (~v117(constB107)))),
% 49.15/32.25 inference(quant_inst,[status(thm)],[])).
% 49.15/32.25 tff(15828,plain,
% 49.15/32.25 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB107) | (~v117(constB107))),
% 49.15/32.25 inference(modus_ponens,[status(thm)],[15827, 15826])).
% 49.15/32.25 tff(15829,plain,
% 49.15/32.25 (v116(constB107)),
% 49.15/32.25 inference(unit_resolution,[status(thm)],[15828, 177, 15825])).
% 49.15/32.25 tff(15830,plain,
% 49.15/32.25 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB107) | (~v116(constB107)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB107) | (~v116(constB107)))),
% 49.15/32.25 inference(rewrite,[status(thm)],[])).
% 49.15/32.25 tff(15831,plain,
% 49.15/32.25 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB107) | (~v116(constB107)))),
% 49.15/32.25 inference(quant_inst,[status(thm)],[])).
% 49.15/32.25 tff(15832,plain,
% 49.15/32.25 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB107) | (~v116(constB107))),
% 49.15/32.25 inference(modus_ponens,[status(thm)],[15831, 15830])).
% 49.15/32.25 tff(15833,plain,
% 49.15/32.25 (v115(constB107)),
% 49.15/32.25 inference(unit_resolution,[status(thm)],[15832, 188, 15829])).
% 49.15/32.25 tff(15834,plain,
% 49.15/32.25 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB107) | (~v115(constB107)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB107) | (~v115(constB107)))),
% 49.15/32.25 inference(rewrite,[status(thm)],[])).
% 49.15/32.25 tff(15835,plain,
% 49.15/32.25 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB107) | (~v115(constB107)))),
% 49.15/32.25 inference(quant_inst,[status(thm)],[])).
% 49.15/32.25 tff(15836,plain,
% 49.15/32.25 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB107) | (~v115(constB107))),
% 49.15/32.25 inference(modus_ponens,[status(thm)],[15835, 15834])).
% 49.15/32.25 tff(15837,plain,
% 49.15/32.25 (v114(constB107)),
% 49.15/32.25 inference(unit_resolution,[status(thm)],[15836, 199, 15833])).
% 49.15/32.25 tff(15838,plain,
% 49.15/32.25 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB107) | (~v114(constB107)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB107) | (~v114(constB107)))),
% 49.15/32.25 inference(rewrite,[status(thm)],[])).
% 49.15/32.25 tff(15839,plain,
% 49.15/32.25 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB107) | (~v114(constB107)))),
% 49.15/32.25 inference(quant_inst,[status(thm)],[])).
% 49.15/32.25 tff(15840,plain,
% 49.15/32.25 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB107) | (~v114(constB107))),
% 49.15/32.25 inference(modus_ponens,[status(thm)],[15839, 15838])).
% 49.15/32.25 tff(15841,plain,
% 49.15/32.25 (v113(constB107)),
% 49.15/32.25 inference(unit_resolution,[status(thm)],[15840, 210, 15837])).
% 49.15/32.25 tff(15842,assumption,(~v108(constB107)), introduced(assumption)).
% 49.15/32.25 tff(15843,plain,
% 49.15/32.25 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB107) | (~v112(constB107)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB107) | (~v112(constB107)))),
% 49.15/32.25 inference(rewrite,[status(thm)],[])).
% 49.15/32.25 tff(15844,plain,
% 49.15/32.25 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB107) | (~v112(constB107)))),
% 49.15/32.25 inference(quant_inst,[status(thm)],[])).
% 49.15/32.25 tff(15845,plain,
% 49.15/32.25 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB107) | (~v112(constB107))),
% 49.15/32.25 inference(modus_ponens,[status(thm)],[15844, 15843])).
% 49.15/32.25 tff(15846,plain,
% 49.15/32.25 (~v112(constB107)),
% 49.15/32.25 inference(unit_resolution,[status(thm)],[15845, 236, 15842])).
% 49.15/32.25 tff(15847,plain,
% 49.15/32.25 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB107) | (~v26(constB107)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB107) | (~v26(constB107)))),
% 49.15/32.25 inference(rewrite,[status(thm)],[])).
% 49.15/32.25 tff(15848,plain,
% 49.15/32.25 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB107) | (~v26(constB107)))),
% 49.15/32.25 inference(quant_inst,[status(thm)],[])).
% 49.15/32.25 tff(15849,plain,
% 49.15/32.25 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB107) | (~v26(constB107))),
% 49.15/32.25 inference(modus_ponens,[status(thm)],[15848, 15847])).
% 49.15/32.25 tff(15850,plain,
% 49.15/32.25 (~v26(constB107)),
% 49.15/32.25 inference(unit_resolution,[status(thm)],[15849, 961, 15842])).
% 49.15/32.25 tff(15851,assumption,(v113(constB107)), introduced(assumption)).
% 49.15/32.25 tff(15852,plain,
% 49.15/32.25 (((~![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)))),
% 49.15/32.25 inference(rewrite,[status(thm)],[])).
% 49.15/32.25 tff(15853,plain,
% 49.15/32.25 ((v26(constB107) | (~v113(constB107)) | v112(constB107)) <=> (v26(constB107) | v112(constB107) | (~v113(constB107)))),
% 49.15/32.25 inference(rewrite,[status(thm)],[])).
% 49.15/32.25 tff(15854,plain,
% 49.15/32.25 (((~![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))))),
% 49.15/32.25 inference(monotonicity,[status(thm)],[15853])).
% 49.15/32.25 tff(15855,plain,
% 49.15/32.25 (((~![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)))),
% 49.15/32.25 inference(transitivity,[status(thm)],[15854, 15852])).
% 49.15/32.25 tff(15856,plain,
% 49.15/32.25 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB107) | (~v113(constB107)) | v112(constB107))),
% 49.15/32.25 inference(quant_inst,[status(thm)],[])).
% 49.15/32.25 tff(15857,plain,
% 49.15/32.25 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB107) | v112(constB107) | (~v113(constB107))),
% 49.15/32.25 inference(modus_ponens,[status(thm)],[15856, 15855])).
% 49.15/32.25 tff(15858,plain,
% 49.15/32.25 (v26(constB107) | v112(constB107)),
% 49.15/32.25 inference(unit_resolution,[status(thm)],[15857, 224, 15851])).
% 49.15/32.25 tff(15859,plain,
% 49.15/32.25 ($false),
% 49.15/32.25 inference(unit_resolution,[status(thm)],[15858, 15850, 15846])).
% 49.15/32.25 tff(15860,plain,(v108(constB107) | (~v113(constB107))), inference(lemma,lemma(discharge,[]))).
% 49.15/32.25 tff(15861,plain,
% 49.15/32.25 (v108(constB107)),
% 49.15/32.25 inference(unit_resolution,[status(thm)],[15860, 15841])).
% 49.15/32.25 tff(15862,plain,
% 49.15/32.25 (nextState(constB107, constB108) <=> nextState(constB107, constB108)),
% 49.15/32.25 inference(rewrite,[status(thm)],[])).
% 49.15/32.25 tff(15863,axiom,(nextState(constB107, constB108)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_107_1')).
% 49.15/32.25 tff(15864,plain,
% 49.15/32.25 (nextState(constB107, constB108)),
% 49.15/32.25 inference(modus_ponens,[status(thm)],[15863, 15862])).
% 49.15/32.25 tff(15865,plain,
% 49.15/32.25 (((~![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)))),
% 49.15/32.25 inference(rewrite,[status(thm)],[])).
% 49.15/32.25 tff(15866,plain,
% 49.15/32.25 (((~nextState(constB107, constB108)) | (~v108(constB107)) | v110(constB108)) <=> ((~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107)))),
% 49.15/32.25 inference(rewrite,[status(thm)],[])).
% 49.15/32.25 tff(15867,plain,
% 49.15/32.25 (((~![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))))),
% 49.15/32.25 inference(monotonicity,[status(thm)],[15866])).
% 49.15/32.25 tff(15868,plain,
% 49.15/32.25 (((~![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)))),
% 49.15/32.25 inference(transitivity,[status(thm)],[15867, 15865])).
% 49.15/32.25 tff(15869,plain,
% 49.15/32.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB107, constB108)) | (~v108(constB107)) | v110(constB108))),
% 49.15/32.25 inference(quant_inst,[status(thm)],[])).
% 49.15/32.25 tff(15870,plain,
% 49.15/32.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107))),
% 49.15/32.25 inference(modus_ponens,[status(thm)],[15869, 15868])).
% 49.15/32.25 tff(15871,plain,
% 49.15/32.25 (v110(constB108) | (~v108(constB107))),
% 49.15/32.25 inference(unit_resolution,[status(thm)],[15870, 253, 15864])).
% 49.15/32.25 tff(15872,plain,
% 49.15/32.25 (v110(constB108)),
% 49.15/32.25 inference(unit_resolution,[status(thm)],[15871, 15861])).
% 49.15/32.25 tff(15873,plain,
% 49.15/32.25 (((~![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)))),
% 49.15/32.25 inference(rewrite,[status(thm)],[])).
% 49.15/32.25 tff(15874,plain,
% 49.15/32.25 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB107) | (~nextState(constB107, constB108)) | (~v104(constB108)))),
% 49.15/32.25 inference(quant_inst,[status(thm)],[])).
% 49.15/32.25 tff(15875,plain,
% 49.15/32.25 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB107) | (~nextState(constB107, constB108)) | (~v104(constB108))),
% 49.15/32.25 inference(modus_ponens,[status(thm)],[15874, 15873])).
% 49.15/32.25 tff(15876,plain,
% 49.15/32.25 (~v104(constB108)),
% 49.15/32.25 inference(unit_resolution,[status(thm)],[15875, 271, 15864, 15715])).
% 49.15/32.25 tff(15877,plain,
% 49.15/32.25 (((~![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))),
% 49.15/32.25 inference(rewrite,[status(thm)],[])).
% 49.15/32.25 tff(15878,plain,
% 49.15/32.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB107, constB108)) | v102(constB108) | v104(constB108))),
% 49.15/32.25 inference(quant_inst,[status(thm)],[])).
% 49.15/32.25 tff(15879,plain,
% 49.15/32.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB107, constB108)) | v102(constB108) | v104(constB108)),
% 49.15/32.25 inference(modus_ponens,[status(thm)],[15878, 15877])).
% 49.15/32.25 tff(15880,plain,
% 49.15/32.25 (v102(constB108) | v104(constB108)),
% 49.15/32.25 inference(unit_resolution,[status(thm)],[15879, 285, 15864])).
% 49.15/32.25 tff(15881,plain,
% 49.15/32.25 (v102(constB108)),
% 49.15/32.25 inference(unit_resolution,[status(thm)],[15880, 15876])).
% 49.15/32.25 tff(15882,plain,
% 49.15/32.25 (v1(constB108) <=> v1(constB108)),
% 49.15/32.25 inference(rewrite,[status(thm)],[])).
% 49.15/32.25 tff(15883,axiom,(v1(constB108)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_108_1')).
% 49.15/32.25 tff(15884,plain,
% 49.15/32.25 (v1(constB108)),
% 49.15/32.25 inference(modus_ponens,[status(thm)],[15883, 15882])).
% 49.15/32.25 tff(15885,plain,
% 49.15/32.25 (((~![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)))),
% 49.15/32.25 inference(rewrite,[status(thm)],[])).
% 49.15/32.25 tff(15886,plain,
% 49.15/32.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB107, constB108)) | v101(constB108) | (~v102(constB108)) | (~v1(constB108)))),
% 49.15/32.25 inference(quant_inst,[status(thm)],[])).
% 49.15/32.25 tff(15887,plain,
% 49.15/32.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB107, constB108)) | v101(constB108) | (~v102(constB108)) | (~v1(constB108))),
% 49.15/32.25 inference(modus_ponens,[status(thm)],[15886, 15885])).
% 49.15/32.25 tff(15888,plain,
% 49.15/32.25 (v101(constB108) | (~v102(constB108))),
% 49.15/32.25 inference(unit_resolution,[status(thm)],[15887, 303, 15864, 15884])).
% 49.15/32.25 tff(15889,plain,
% 49.15/32.25 (v101(constB108)),
% 49.15/32.25 inference(unit_resolution,[status(thm)],[15888, 15881])).
% 49.15/32.25 tff(15890,plain,
% 49.15/32.25 (((~![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)))),
% 49.15/32.25 inference(rewrite,[status(thm)],[])).
% 49.15/32.25 tff(15891,plain,
% 49.15/32.25 (((~nextState(constB107, constB108)) | (~v101(constB108)) | (~v110(constB108)) | v100(constB108)) <=> ((~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108)))),
% 49.15/32.25 inference(rewrite,[status(thm)],[])).
% 49.15/32.25 tff(15892,plain,
% 49.15/32.25 (((~![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))))),
% 49.15/32.25 inference(monotonicity,[status(thm)],[15891])).
% 49.15/32.25 tff(15893,plain,
% 49.15/32.25 (((~![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)))),
% 49.15/32.25 inference(transitivity,[status(thm)],[15892, 15890])).
% 49.15/32.25 tff(15894,plain,
% 49.15/32.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB107, constB108)) | (~v101(constB108)) | (~v110(constB108)) | v100(constB108))),
% 49.15/32.25 inference(quant_inst,[status(thm)],[])).
% 49.15/32.25 tff(15895,plain,
% 49.15/32.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108))),
% 49.15/32.25 inference(modus_ponens,[status(thm)],[15894, 15893])).
% 49.15/32.25 tff(15896,plain,
% 49.15/32.25 (v100(constB108) | (~v101(constB108)) | (~v110(constB108))),
% 49.15/32.25 inference(unit_resolution,[status(thm)],[15895, 318, 15864])).
% 49.15/32.25 tff(15897,plain,
% 49.15/32.25 (v100(constB108) | (~v110(constB108))),
% 49.15/32.25 inference(unit_resolution,[status(thm)],[15896, 15889])).
% 49.15/32.25 tff(15898,plain,
% 49.15/32.25 (v100(constB108)),
% 49.15/32.25 inference(unit_resolution,[status(thm)],[15897, 15872])).
% 49.15/32.25 tff(15899,plain,
% 49.15/32.25 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB107)) | (~v130(constB107, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB107)) | (~v130(constB107, bitIndex2)))),
% 49.15/32.25 inference(rewrite,[status(thm)],[])).
% 49.15/32.25 tff(15900,plain,
% 49.15/32.25 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB107)) | (~v130(constB107, bitIndex2)))),
% 49.15/32.25 inference(quant_inst,[status(thm)],[])).
% 49.15/32.25 tff(15901,plain,
% 49.15/32.25 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB107)) | (~v130(constB107, bitIndex2))),
% 49.15/32.25 inference(modus_ponens,[status(thm)],[15900, 15899])).
% 49.15/32.25 tff(15902,plain,
% 49.15/32.25 (~v130(constB107, bitIndex2)),
% 49.15/32.25 inference(unit_resolution,[status(thm)],[15901, 1383, 15817])).
% 49.15/32.25 tff(15903,assumption,(v26(constB107)), introduced(assumption)).
% 49.15/32.25 tff(15904,plain,
% 49.15/32.25 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB107))),
% 49.15/32.25 inference(quant_inst,[status(thm)],[])).
% 49.15/32.25 tff(15905,plain,
% 49.15/32.25 ($false),
% 49.15/32.25 inference(unit_resolution,[status(thm)],[15904, 16, 15903])).
% 49.15/32.25 tff(15906,plain,(~v26(constB107)), inference(lemma,lemma(discharge,[]))).
% 49.15/32.25 tff(15907,plain,
% 49.15/32.25 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB107, bitIndex2)) | v26(constB107) | v130(constB107, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB107, bitIndex2)) | v26(constB107) | v130(constB107, bitIndex2))),
% 49.15/32.25 inference(rewrite,[status(thm)],[])).
% 49.15/32.25 tff(15908,plain,
% 49.15/32.25 ((v26(constB107) | v130(constB107, bitIndex2) | (~v127(constB107, bitIndex2))) <=> ((~v127(constB107, bitIndex2)) | v26(constB107) | v130(constB107, bitIndex2))),
% 49.15/32.25 inference(rewrite,[status(thm)],[])).
% 49.15/32.25 tff(15909,plain,
% 49.15/32.25 (((~![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)))) | ((~v127(constB107, bitIndex2)) | v26(constB107) | v130(constB107, bitIndex2)))),
% 49.15/32.25 inference(monotonicity,[status(thm)],[15908])).
% 49.15/32.25 tff(15910,plain,
% 49.15/32.25 (((~![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)))) | (~v127(constB107, bitIndex2)) | v26(constB107) | v130(constB107, bitIndex2))),
% 49.15/32.25 inference(transitivity,[status(thm)],[15909, 15907])).
% 49.15/32.25 tff(15911,plain,
% 49.15/32.25 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB107) | v130(constB107, bitIndex2) | (~v127(constB107, bitIndex2)))),
% 49.15/32.25 inference(quant_inst,[status(thm)],[])).
% 49.15/32.25 tff(15912,plain,
% 49.15/32.25 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB107, bitIndex2)) | v26(constB107) | v130(constB107, bitIndex2)),
% 49.15/32.25 inference(modus_ponens,[status(thm)],[15911, 15910])).
% 49.15/32.25 tff(15913,plain,
% 49.15/32.25 ((~v127(constB107, bitIndex2)) | v130(constB107, bitIndex2)),
% 49.15/32.25 inference(unit_resolution,[status(thm)],[15912, 1210, 15906])).
% 49.15/32.25 tff(15914,plain,
% 49.15/32.25 (~v127(constB107, bitIndex2)),
% 49.15/32.25 inference(unit_resolution,[status(thm)],[15913, 15902])).
% 49.15/32.25 tff(15915,plain,
% 49.15/32.25 (((~![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)))),
% 49.15/32.25 inference(rewrite,[status(thm)],[])).
% 49.15/32.25 tff(15916,plain,
% 49.15/32.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB107, constB108)) | v127(constB107, bitIndex2) | (~v129(constB108, bitIndex2)))),
% 49.15/32.25 inference(quant_inst,[status(thm)],[])).
% 49.15/32.25 tff(15917,plain,
% 49.15/32.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB107, constB108)) | v127(constB107, bitIndex2) | (~v129(constB108, bitIndex2))),
% 49.15/32.25 inference(modus_ponens,[status(thm)],[15916, 15915])).
% 49.15/32.25 tff(15918,plain,
% 49.15/32.25 (v127(constB107, bitIndex2) | (~v129(constB108, bitIndex2))),
% 49.15/32.25 inference(unit_resolution,[status(thm)],[15917, 1243, 15864])).
% 49.15/32.25 tff(15919,plain,
% 49.15/32.25 (~v129(constB108, bitIndex2)),
% 49.15/32.25 inference(unit_resolution,[status(thm)],[15918, 15914])).
% 49.15/32.25 tff(15920,plain,
% 49.15/32.25 (((~![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)))),
% 49.15/32.25 inference(rewrite,[status(thm)],[])).
% 49.15/32.25 tff(15921,plain,
% 49.15/32.25 (((~v90(constB108, bitIndex2)) | (~v100(constB108)) | v129(constB108, bitIndex2)) <=> ((~v90(constB108, bitIndex2)) | v129(constB108, bitIndex2) | (~v100(constB108)))),
% 49.15/32.25 inference(rewrite,[status(thm)],[])).
% 49.15/32.25 tff(15922,plain,
% 49.15/32.25 (((~![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))))),
% 49.15/32.25 inference(monotonicity,[status(thm)],[15921])).
% 49.15/32.25 tff(15923,plain,
% 49.15/32.25 (((~![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)))),
% 49.15/32.25 inference(transitivity,[status(thm)],[15922, 15920])).
% 49.15/32.25 tff(15924,plain,
% 49.15/32.25 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB108, bitIndex2)) | (~v100(constB108)) | v129(constB108, bitIndex2))),
% 49.15/32.25 inference(quant_inst,[status(thm)],[])).
% 49.15/32.26 tff(15925,plain,
% 49.15/32.26 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB108, bitIndex2)) | v129(constB108, bitIndex2) | (~v100(constB108))),
% 49.15/32.26 inference(modus_ponens,[status(thm)],[15924, 15923])).
% 49.15/32.26 tff(15926,plain,
% 49.15/32.26 ((~v90(constB108, bitIndex2)) | (~v100(constB108))),
% 49.15/32.26 inference(unit_resolution,[status(thm)],[15925, 1258, 15919])).
% 49.15/32.26 tff(15927,plain,
% 49.15/32.26 (~v90(constB108, bitIndex2)),
% 49.15/32.26 inference(unit_resolution,[status(thm)],[15926, 15898])).
% 49.15/32.26 tff(15928,plain,
% 49.15/32.26 ((~v1(constB109)) <=> (~v1(constB109))),
% 49.15/32.26 inference(rewrite,[status(thm)],[])).
% 49.15/32.26 tff(15929,axiom,(~v1(constB109)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_109_1_1')).
% 49.15/32.26 tff(15930,plain,
% 49.15/32.26 (~v1(constB109)),
% 49.15/32.26 inference(modus_ponens,[status(thm)],[15929, 15928])).
% 49.15/32.26 tff(15931,plain,
% 49.15/32.26 (nextState(constB108, constB109) <=> nextState(constB108, constB109)),
% 49.15/32.26 inference(rewrite,[status(thm)],[])).
% 49.15/32.26 tff(15932,axiom,(nextState(constB108, constB109)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_108_1')).
% 49.15/32.26 tff(15933,plain,
% 49.15/32.26 (nextState(constB108, constB109)),
% 49.15/32.26 inference(modus_ponens,[status(thm)],[15932, 15931])).
% 49.15/32.26 tff(15934,plain,
% 49.15/32.26 (((~![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)))),
% 49.15/32.26 inference(rewrite,[status(thm)],[])).
% 49.15/32.26 tff(15935,plain,
% 49.15/32.26 (((~nextState(constB108, constB109)) | (~v101(constB109)) | v1(constB109)) <=> (v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109)))),
% 49.15/32.26 inference(rewrite,[status(thm)],[])).
% 49.15/32.26 tff(15936,plain,
% 49.15/32.26 (((~![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))))),
% 49.15/32.26 inference(monotonicity,[status(thm)],[15935])).
% 49.15/32.26 tff(15937,plain,
% 49.15/32.26 (((~![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)))),
% 49.15/32.26 inference(transitivity,[status(thm)],[15936, 15934])).
% 49.15/32.26 tff(15938,plain,
% 49.15/32.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB108, constB109)) | (~v101(constB109)) | v1(constB109))),
% 49.15/32.26 inference(quant_inst,[status(thm)],[])).
% 49.15/32.26 tff(15939,plain,
% 49.15/32.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109))),
% 49.15/32.26 inference(modus_ponens,[status(thm)],[15938, 15937])).
% 49.15/32.26 tff(15940,plain,
% 49.15/32.26 (~v101(constB109)),
% 49.15/32.26 inference(unit_resolution,[status(thm)],[15939, 49, 15933, 15930])).
% 49.15/32.26 tff(15941,plain,
% 49.15/32.26 (((~![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)))),
% 49.15/32.26 inference(rewrite,[status(thm)],[])).
% 49.15/32.26 tff(15942,plain,
% 49.15/32.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB108, constB109)) | v101(constB109) | (~v100(constB109)))),
% 49.15/32.26 inference(quant_inst,[status(thm)],[])).
% 49.15/32.26 tff(15943,plain,
% 49.15/32.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB108, constB109)) | v101(constB109) | (~v100(constB109))),
% 49.15/32.26 inference(modus_ponens,[status(thm)],[15942, 15941])).
% 49.15/32.26 tff(15944,plain,
% 49.15/32.26 (v101(constB109) | (~v100(constB109))),
% 49.15/32.26 inference(unit_resolution,[status(thm)],[15943, 66, 15933])).
% 49.15/32.26 tff(15945,plain,
% 49.15/32.26 (~v100(constB109)),
% 49.15/32.26 inference(unit_resolution,[status(thm)],[15944, 15940])).
% 49.15/32.26 tff(15946,plain,
% 49.15/32.26 (((~![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)))),
% 49.15/32.26 inference(rewrite,[status(thm)],[])).
% 49.15/32.26 tff(15947,plain,
% 49.15/32.26 (((~nextState(constB108, constB109)) | v90(constB108, bitIndex2) | v100(constB109) | (~v90(constB109, bitIndex2))) <=> (v90(constB108, bitIndex2) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex2)))),
% 49.15/32.26 inference(rewrite,[status(thm)],[])).
% 49.15/32.26 tff(15948,plain,
% 49.15/32.26 (((~![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))))),
% 49.15/32.26 inference(monotonicity,[status(thm)],[15947])).
% 49.15/32.26 tff(15949,plain,
% 49.15/32.26 (((~![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)))),
% 49.15/32.26 inference(transitivity,[status(thm)],[15948, 15946])).
% 49.15/32.26 tff(15950,plain,
% 49.15/32.26 ((~![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)))),
% 49.15/32.26 inference(quant_inst,[status(thm)],[])).
% 49.15/32.26 tff(15951,plain,
% 49.15/32.26 ((~![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))),
% 49.15/32.26 inference(modus_ponens,[status(thm)],[15950, 15949])).
% 49.15/32.26 tff(15952,plain,
% 49.15/32.26 (v90(constB108, bitIndex2) | v100(constB109) | (~v90(constB109, bitIndex2))),
% 49.15/32.26 inference(unit_resolution,[status(thm)],[15951, 81, 15933])).
% 49.15/32.26 tff(15953,plain,
% 49.15/32.26 (v90(constB108, bitIndex2) | (~v90(constB109, bitIndex2))),
% 49.15/32.26 inference(unit_resolution,[status(thm)],[15952, 15945])).
% 49.15/32.26 tff(15954,plain,
% 49.15/32.26 (~v90(constB109, bitIndex2)),
% 49.15/32.26 inference(unit_resolution,[status(thm)],[15953, 15927])).
% 49.15/32.26 tff(15955,plain,
% 49.15/32.26 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB107)) | v130(constB107, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB107)) | v130(constB107, bitIndex1))),
% 49.15/32.26 inference(rewrite,[status(thm)],[])).
% 49.15/32.26 tff(15956,plain,
% 49.15/32.26 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB107)) | v130(constB107, bitIndex1))),
% 49.15/32.26 inference(quant_inst,[status(thm)],[])).
% 49.15/32.26 tff(15957,plain,
% 49.15/32.26 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB107)) | v130(constB107, bitIndex1)),
% 49.15/32.26 inference(modus_ponens,[status(thm)],[15956, 15955])).
% 49.15/32.26 tff(15958,plain,
% 49.15/32.26 (v130(constB107, bitIndex1)),
% 49.15/32.26 inference(unit_resolution,[status(thm)],[15957, 1450, 15817])).
% 49.15/32.26 tff(15959,plain,
% 49.15/32.26 (((~![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))),
% 49.15/32.26 inference(rewrite,[status(thm)],[])).
% 49.15/32.26 tff(15960,plain,
% 49.15/32.26 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB107) | (~v130(constB107, bitIndex1)) | v127(constB107, bitIndex1))),
% 49.15/32.26 inference(quant_inst,[status(thm)],[])).
% 49.15/32.26 tff(15961,plain,
% 49.15/32.26 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB107) | (~v130(constB107, bitIndex1)) | v127(constB107, bitIndex1)),
% 49.15/32.26 inference(modus_ponens,[status(thm)],[15960, 15959])).
% 49.15/32.26 tff(15962,plain,
% 49.15/32.26 ((~v130(constB107, bitIndex1)) | v127(constB107, bitIndex1)),
% 49.15/32.26 inference(unit_resolution,[status(thm)],[15961, 681, 15906])).
% 49.15/32.26 tff(15963,plain,
% 49.15/32.26 (v127(constB107, bitIndex1)),
% 49.15/32.26 inference(unit_resolution,[status(thm)],[15962, 15958])).
% 49.15/32.26 tff(15964,plain,
% 49.15/32.26 (((~![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))),
% 49.15/32.26 inference(rewrite,[status(thm)],[])).
% 49.15/32.26 tff(15965,plain,
% 49.15/32.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB107, constB108)) | (~v127(constB107, bitIndex1)) | v129(constB108, bitIndex1))),
% 49.15/32.26 inference(quant_inst,[status(thm)],[])).
% 49.15/32.26 tff(15966,plain,
% 49.15/32.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB107, constB108)) | (~v127(constB107, bitIndex1)) | v129(constB108, bitIndex1)),
% 49.15/32.26 inference(modus_ponens,[status(thm)],[15965, 15964])).
% 49.15/32.26 tff(15967,plain,
% 49.15/32.26 ((~v127(constB107, bitIndex1)) | v129(constB108, bitIndex1)),
% 49.15/32.26 inference(unit_resolution,[status(thm)],[15966, 696, 15864])).
% 49.15/32.26 tff(15968,plain,
% 49.15/32.26 (v129(constB108, bitIndex1)),
% 49.15/32.26 inference(unit_resolution,[status(thm)],[15967, 15963])).
% 49.15/32.26 tff(15969,plain,
% 49.15/32.26 (((~![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)))),
% 49.15/32.26 inference(rewrite,[status(thm)],[])).
% 49.15/32.26 tff(15970,plain,
% 49.15/32.26 ((v90(constB108, bitIndex1) | (~v100(constB108)) | (~v129(constB108, bitIndex1))) <=> (v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1)) | (~v100(constB108)))),
% 49.15/32.26 inference(rewrite,[status(thm)],[])).
% 49.15/32.26 tff(15971,plain,
% 49.15/32.26 (((~![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))))),
% 49.15/32.26 inference(monotonicity,[status(thm)],[15970])).
% 49.15/32.26 tff(15972,plain,
% 49.15/32.26 (((~![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)))),
% 49.15/32.26 inference(transitivity,[status(thm)],[15971, 15969])).
% 49.15/32.26 tff(15973,plain,
% 49.15/32.26 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB108, bitIndex1) | (~v100(constB108)) | (~v129(constB108, bitIndex1)))),
% 49.15/32.26 inference(quant_inst,[status(thm)],[])).
% 49.15/32.26 tff(15974,plain,
% 49.15/32.26 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB108, bitIndex1) | (~v129(constB108, bitIndex1)) | (~v100(constB108))),
% 49.15/32.26 inference(modus_ponens,[status(thm)],[15973, 15972])).
% 49.15/32.26 tff(15975,plain,
% 49.15/32.26 (v90(constB108, bitIndex1) | (~v100(constB108))),
% 49.15/32.26 inference(unit_resolution,[status(thm)],[15974, 711, 15968])).
% 49.15/32.26 tff(15976,plain,
% 49.15/32.26 (v90(constB108, bitIndex1)),
% 49.15/32.26 inference(unit_resolution,[status(thm)],[15975, 15898])).
% 49.15/32.26 tff(15977,plain,
% 49.15/32.26 (((~![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))),
% 49.15/32.26 inference(rewrite,[status(thm)],[])).
% 49.15/32.26 tff(15978,plain,
% 49.15/32.26 (((~nextState(constB108, constB109)) | (~v90(constB108, bitIndex1)) | v100(constB109) | v90(constB109, bitIndex1)) <=> ((~v90(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, bitIndex1))),
% 49.15/32.26 inference(rewrite,[status(thm)],[])).
% 49.15/32.26 tff(15979,plain,
% 49.15/32.26 (((~![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)))),
% 49.15/32.26 inference(monotonicity,[status(thm)],[15978])).
% 49.15/32.26 tff(15980,plain,
% 49.15/32.26 (((~![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))),
% 49.15/32.26 inference(transitivity,[status(thm)],[15979, 15977])).
% 49.15/32.26 tff(15981,plain,
% 49.15/32.26 ((~![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))),
% 49.15/32.26 inference(quant_inst,[status(thm)],[])).
% 49.15/32.26 tff(15982,plain,
% 49.15/32.26 ((~![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)),
% 49.15/32.26 inference(modus_ponens,[status(thm)],[15981, 15980])).
% 49.15/32.26 tff(15983,plain,
% 49.15/32.26 ((~v90(constB108, bitIndex1)) | v100(constB109) | v90(constB109, bitIndex1)),
% 49.15/32.26 inference(unit_resolution,[status(thm)],[15982, 747, 15933])).
% 49.15/32.26 tff(15984,plain,
% 49.15/32.26 ((~v90(constB108, bitIndex1)) | v90(constB109, bitIndex1)),
% 49.15/32.26 inference(unit_resolution,[status(thm)],[15983, 15945])).
% 49.15/32.26 tff(15985,plain,
% 49.15/32.26 (v90(constB109, bitIndex1)),
% 49.15/32.26 inference(unit_resolution,[status(thm)],[15984, 15976])).
% 49.15/32.26 tff(15986,plain,
% 49.15/32.26 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB107)) | (~v130(constB107, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB107)) | (~v130(constB107, bitIndex0)))),
% 49.15/32.26 inference(rewrite,[status(thm)],[])).
% 49.15/32.26 tff(15987,plain,
% 49.15/32.26 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB107)) | (~v130(constB107, bitIndex0)))),
% 49.15/32.26 inference(quant_inst,[status(thm)],[])).
% 49.15/32.26 tff(15988,plain,
% 49.15/32.26 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB107)) | (~v130(constB107, bitIndex0))),
% 49.15/32.26 inference(modus_ponens,[status(thm)],[15987, 15986])).
% 49.15/32.26 tff(15989,plain,
% 49.15/32.26 (~v130(constB107, bitIndex0)),
% 49.15/32.26 inference(unit_resolution,[status(thm)],[15988, 1492, 15817])).
% 49.15/32.26 tff(15990,plain,
% 49.15/32.26 (((~![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))),
% 49.15/32.26 inference(rewrite,[status(thm)],[])).
% 49.15/32.26 tff(15991,plain,
% 49.15/32.26 ((v26(constB107) | v130(constB107, bitIndex0) | (~v127(constB107, bitIndex0))) <=> ((~v127(constB107, bitIndex0)) | v26(constB107) | v130(constB107, bitIndex0))),
% 49.15/32.26 inference(rewrite,[status(thm)],[])).
% 49.15/32.26 tff(15992,plain,
% 49.15/32.26 (((~![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)))),
% 49.15/32.26 inference(monotonicity,[status(thm)],[15991])).
% 49.15/32.26 tff(15993,plain,
% 49.15/32.26 (((~![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))),
% 49.15/32.26 inference(transitivity,[status(thm)],[15992, 15990])).
% 49.15/32.26 tff(15994,plain,
% 49.15/32.26 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB107) | v130(constB107, bitIndex0) | (~v127(constB107, bitIndex0)))),
% 49.15/32.26 inference(quant_inst,[status(thm)],[])).
% 49.15/32.26 tff(15995,plain,
% 49.15/32.26 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB107, bitIndex0)) | v26(constB107) | v130(constB107, bitIndex0)),
% 49.15/32.26 inference(modus_ponens,[status(thm)],[15994, 15993])).
% 49.15/32.26 tff(15996,plain,
% 49.15/32.26 ((~v127(constB107, bitIndex0)) | v130(constB107, bitIndex0)),
% 49.15/32.26 inference(unit_resolution,[status(thm)],[15995, 524, 15906])).
% 49.15/32.26 tff(15997,plain,
% 49.15/32.26 (~v127(constB107, bitIndex0)),
% 49.15/32.26 inference(unit_resolution,[status(thm)],[15996, 15989])).
% 49.15/32.26 tff(15998,plain,
% 49.15/32.26 (((~![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)))),
% 49.15/32.26 inference(rewrite,[status(thm)],[])).
% 49.15/32.26 tff(15999,plain,
% 49.15/32.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB107, constB108)) | v127(constB107, bitIndex0) | (~v129(constB108, bitIndex0)))),
% 49.15/32.26 inference(quant_inst,[status(thm)],[])).
% 49.15/32.26 tff(16000,plain,
% 49.15/32.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB107, constB108)) | v127(constB107, bitIndex0) | (~v129(constB108, bitIndex0))),
% 49.15/32.26 inference(modus_ponens,[status(thm)],[15999, 15998])).
% 49.15/32.26 tff(16001,plain,
% 49.15/32.26 (v127(constB107, bitIndex0) | (~v129(constB108, bitIndex0))),
% 49.15/32.26 inference(unit_resolution,[status(thm)],[16000, 542, 15864])).
% 49.15/32.26 tff(16002,plain,
% 49.15/32.26 (~v129(constB108, bitIndex0)),
% 49.15/32.26 inference(unit_resolution,[status(thm)],[16001, 15997])).
% 49.15/32.26 tff(16003,plain,
% 49.15/32.26 (((~![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)))),
% 49.15/32.26 inference(rewrite,[status(thm)],[])).
% 49.15/32.26 tff(16004,plain,
% 49.15/32.26 (((~v90(constB108, bitIndex0)) | (~v100(constB108)) | v129(constB108, bitIndex0)) <=> ((~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0) | (~v100(constB108)))),
% 49.15/32.26 inference(rewrite,[status(thm)],[])).
% 49.15/32.26 tff(16005,plain,
% 49.15/32.26 (((~![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))))),
% 49.15/32.26 inference(monotonicity,[status(thm)],[16004])).
% 49.15/32.26 tff(16006,plain,
% 49.15/32.26 (((~![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)))),
% 49.15/32.26 inference(transitivity,[status(thm)],[16005, 16003])).
% 49.15/32.26 tff(16007,plain,
% 49.15/32.26 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB108, bitIndex0)) | (~v100(constB108)) | v129(constB108, bitIndex0))),
% 49.15/32.26 inference(quant_inst,[status(thm)],[])).
% 49.15/32.26 tff(16008,plain,
% 49.15/32.26 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB108, bitIndex0)) | v129(constB108, bitIndex0) | (~v100(constB108))),
% 49.15/32.26 inference(modus_ponens,[status(thm)],[16007, 16006])).
% 49.15/32.26 tff(16009,plain,
% 49.15/32.26 ((~v90(constB108, bitIndex0)) | (~v100(constB108))),
% 49.15/32.26 inference(unit_resolution,[status(thm)],[16008, 557, 16002])).
% 49.15/32.26 tff(16010,plain,
% 49.15/32.26 (~v90(constB108, bitIndex0)),
% 49.15/32.26 inference(unit_resolution,[status(thm)],[16009, 15898])).
% 49.15/32.26 tff(16011,plain,
% 49.15/32.26 (((~![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)))),
% 49.15/32.26 inference(rewrite,[status(thm)],[])).
% 49.15/32.26 tff(16012,plain,
% 49.15/32.26 (((~nextState(constB108, constB109)) | v90(constB108, bitIndex0) | v100(constB109) | (~v90(constB109, bitIndex0))) <=> (v90(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, bitIndex0)))),
% 49.15/32.26 inference(rewrite,[status(thm)],[])).
% 49.15/32.26 tff(16013,plain,
% 49.15/32.26 (((~![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))))),
% 49.15/32.26 inference(monotonicity,[status(thm)],[16012])).
% 49.15/32.26 tff(16014,plain,
% 49.15/32.26 (((~![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)))),
% 49.15/32.26 inference(transitivity,[status(thm)],[16013, 16011])).
% 49.15/32.26 tff(16015,plain,
% 49.15/32.26 ((~![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)))),
% 49.15/32.26 inference(quant_inst,[status(thm)],[])).
% 49.15/32.26 tff(16016,plain,
% 49.15/32.26 ((~![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))),
% 49.15/32.26 inference(modus_ponens,[status(thm)],[16015, 16014])).
% 49.15/32.26 tff(16017,plain,
% 49.15/32.26 (v90(constB108, bitIndex0) | v100(constB109) | (~v90(constB109, bitIndex0))),
% 49.15/32.26 inference(unit_resolution,[status(thm)],[16016, 123, 15933])).
% 49.15/32.26 tff(16018,plain,
% 49.15/32.26 (v90(constB108, bitIndex0) | (~v90(constB109, bitIndex0))),
% 49.15/32.26 inference(unit_resolution,[status(thm)],[16017, 15945])).
% 49.15/32.26 tff(16019,plain,
% 49.15/32.26 (~v90(constB109, bitIndex0)),
% 49.15/32.26 inference(unit_resolution,[status(thm)],[16018, 16010])).
% 49.15/32.26 tff(16020,plain,
% 49.15/32.26 (((~![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))),
% 49.15/32.26 inference(rewrite,[status(thm)],[])).
% 49.15/32.26 tff(16021,plain,
% 49.15/32.26 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex2) | v121(constB109))),
% 49.15/32.26 inference(quant_inst,[status(thm)],[])).
% 49.15/32.26 tff(16022,plain,
% 49.15/32.26 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB109, bitIndex0) | (~v90(constB109, bitIndex1)) | v90(constB109, bitIndex2) | v121(constB109)),
% 49.15/32.26 inference(modus_ponens,[status(thm)],[16021, 16020])).
% 49.15/32.26 tff(16023,plain,
% 49.15/32.26 (v121(constB109)),
% 49.15/32.26 inference(unit_resolution,[status(thm)],[16022, 1551, 16019, 15985, 15954])).
% 49.15/32.26 tff(16024,plain,
% 49.15/32.26 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB109) | (~v121(constB109)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB109) | (~v121(constB109)))),
% 49.15/32.26 inference(rewrite,[status(thm)],[])).
% 49.15/32.26 tff(16025,plain,
% 49.15/32.26 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB109) | (~v121(constB109)))),
% 49.15/32.26 inference(quant_inst,[status(thm)],[])).
% 49.15/32.26 tff(16026,plain,
% 49.15/32.26 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB109) | (~v121(constB109))),
% 49.15/32.26 inference(modus_ponens,[status(thm)],[16025, 16024])).
% 49.15/32.26 tff(16027,plain,
% 49.15/32.26 (v117(constB109)),
% 49.15/32.26 inference(unit_resolution,[status(thm)],[16026, 1562, 16023])).
% 49.15/32.26 tff(16028,plain,
% 49.15/32.26 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB109) | (~v117(constB109)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB109) | (~v117(constB109)))),
% 49.15/32.26 inference(rewrite,[status(thm)],[])).
% 49.15/32.26 tff(16029,plain,
% 49.15/32.26 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB109) | (~v117(constB109)))),
% 49.15/32.26 inference(quant_inst,[status(thm)],[])).
% 49.15/32.26 tff(16030,plain,
% 49.15/32.26 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB109) | (~v117(constB109))),
% 49.15/32.26 inference(modus_ponens,[status(thm)],[16029, 16028])).
% 49.15/32.26 tff(16031,plain,
% 49.15/32.26 (v116(constB109)),
% 49.15/32.26 inference(unit_resolution,[status(thm)],[16030, 177, 16027])).
% 49.15/32.26 tff(16032,plain,
% 49.15/32.26 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB109) | (~v116(constB109)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB109) | (~v116(constB109)))),
% 49.15/32.26 inference(rewrite,[status(thm)],[])).
% 49.15/32.26 tff(16033,plain,
% 49.15/32.26 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB109) | (~v116(constB109)))),
% 49.15/32.26 inference(quant_inst,[status(thm)],[])).
% 49.15/32.26 tff(16034,plain,
% 49.15/32.26 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB109) | (~v116(constB109))),
% 49.15/32.26 inference(modus_ponens,[status(thm)],[16033, 16032])).
% 49.15/32.26 tff(16035,plain,
% 49.15/32.26 (v115(constB109)),
% 49.15/32.26 inference(unit_resolution,[status(thm)],[16034, 188, 16031])).
% 49.15/32.26 tff(16036,plain,
% 49.15/32.26 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB109) | (~v115(constB109)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB109) | (~v115(constB109)))),
% 49.15/32.26 inference(rewrite,[status(thm)],[])).
% 49.15/32.26 tff(16037,plain,
% 49.15/32.26 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB109) | (~v115(constB109)))),
% 49.15/32.26 inference(quant_inst,[status(thm)],[])).
% 49.15/32.26 tff(16038,plain,
% 49.15/32.26 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB109) | (~v115(constB109))),
% 49.15/32.26 inference(modus_ponens,[status(thm)],[16037, 16036])).
% 49.15/32.26 tff(16039,plain,
% 49.15/32.26 (v114(constB109)),
% 49.15/32.26 inference(unit_resolution,[status(thm)],[16038, 199, 16035])).
% 49.15/32.26 tff(16040,plain,
% 49.15/32.26 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB109) | (~v114(constB109)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB109) | (~v114(constB109)))),
% 49.15/32.26 inference(rewrite,[status(thm)],[])).
% 49.15/32.26 tff(16041,plain,
% 49.15/32.26 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB109) | (~v114(constB109)))),
% 49.15/32.26 inference(quant_inst,[status(thm)],[])).
% 49.15/32.26 tff(16042,plain,
% 49.15/32.26 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB109) | (~v114(constB109))),
% 49.15/32.26 inference(modus_ponens,[status(thm)],[16041, 16040])).
% 49.15/32.26 tff(16043,plain,
% 49.15/32.26 (v113(constB109)),
% 49.15/32.26 inference(unit_resolution,[status(thm)],[16042, 210, 16039])).
% 49.15/32.26 tff(16044,assumption,(v26(constB109)), introduced(assumption)).
% 49.15/32.26 tff(16045,plain,
% 49.15/32.26 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB109))),
% 49.15/32.26 inference(quant_inst,[status(thm)],[])).
% 49.15/32.26 tff(16046,plain,
% 49.15/32.26 ($false),
% 49.15/32.26 inference(unit_resolution,[status(thm)],[16045, 16, 16044])).
% 49.15/32.26 tff(16047,plain,(~v26(constB109)), inference(lemma,lemma(discharge,[]))).
% 49.15/32.26 tff(16048,plain,
% 49.15/32.26 (((~![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)))),
% 49.15/32.26 inference(rewrite,[status(thm)],[])).
% 49.15/32.26 tff(16049,plain,
% 49.15/32.26 ((v26(constB109) | (~v113(constB109)) | v112(constB109)) <=> (v26(constB109) | v112(constB109) | (~v113(constB109)))),
% 49.15/32.26 inference(rewrite,[status(thm)],[])).
% 49.15/32.26 tff(16050,plain,
% 49.15/32.26 (((~![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))))),
% 49.15/32.26 inference(monotonicity,[status(thm)],[16049])).
% 49.15/32.26 tff(16051,plain,
% 49.15/32.26 (((~![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)))),
% 49.15/32.26 inference(transitivity,[status(thm)],[16050, 16048])).
% 49.15/32.26 tff(16052,plain,
% 49.15/32.27 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB109) | (~v113(constB109)) | v112(constB109))),
% 49.15/32.27 inference(quant_inst,[status(thm)],[])).
% 49.15/32.27 tff(16053,plain,
% 49.15/32.27 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB109) | v112(constB109) | (~v113(constB109))),
% 49.15/32.27 inference(modus_ponens,[status(thm)],[16052, 16051])).
% 49.15/32.27 tff(16054,plain,
% 49.15/32.27 (v112(constB109) | (~v113(constB109))),
% 49.15/32.27 inference(unit_resolution,[status(thm)],[16053, 224, 16047])).
% 49.15/32.27 tff(16055,plain,
% 49.15/32.27 (v112(constB109)),
% 49.15/32.27 inference(unit_resolution,[status(thm)],[16054, 16043])).
% 49.15/32.27 tff(16056,plain,
% 49.15/32.27 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB109) | (~v112(constB109)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB109) | (~v112(constB109)))),
% 49.15/32.27 inference(rewrite,[status(thm)],[])).
% 49.15/32.27 tff(16057,plain,
% 49.15/32.27 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB109) | (~v112(constB109)))),
% 49.15/32.27 inference(quant_inst,[status(thm)],[])).
% 49.15/32.27 tff(16058,plain,
% 49.15/32.27 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB109) | (~v112(constB109))),
% 49.15/32.27 inference(modus_ponens,[status(thm)],[16057, 16056])).
% 49.15/32.27 tff(16059,plain,
% 49.15/32.27 (v108(constB109)),
% 49.15/32.27 inference(unit_resolution,[status(thm)],[16058, 236, 16055])).
% 49.15/32.27 tff(16060,plain,
% 49.15/32.27 (nextState(constB109, constB110) <=> nextState(constB109, constB110)),
% 49.15/32.27 inference(rewrite,[status(thm)],[])).
% 49.15/32.27 tff(16061,axiom,(nextState(constB109, constB110)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_109_1')).
% 49.15/32.27 tff(16062,plain,
% 49.15/32.27 (nextState(constB109, constB110)),
% 49.15/32.27 inference(modus_ponens,[status(thm)],[16061, 16060])).
% 49.15/32.27 tff(16063,plain,
% 49.15/32.27 (((~![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)))),
% 49.15/32.27 inference(rewrite,[status(thm)],[])).
% 49.15/32.27 tff(16064,plain,
% 49.15/32.27 (((~nextState(constB109, constB110)) | (~v108(constB109)) | v110(constB110)) <=> ((~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109)))),
% 49.15/32.27 inference(rewrite,[status(thm)],[])).
% 49.15/32.27 tff(16065,plain,
% 49.15/32.27 (((~![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))))),
% 49.15/32.27 inference(monotonicity,[status(thm)],[16064])).
% 49.15/32.27 tff(16066,plain,
% 49.15/32.27 (((~![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)))),
% 49.15/32.27 inference(transitivity,[status(thm)],[16065, 16063])).
% 49.15/32.27 tff(16067,plain,
% 49.15/32.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB109, constB110)) | (~v108(constB109)) | v110(constB110))),
% 49.15/32.27 inference(quant_inst,[status(thm)],[])).
% 49.15/32.27 tff(16068,plain,
% 49.15/32.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109))),
% 49.15/32.27 inference(modus_ponens,[status(thm)],[16067, 16066])).
% 49.15/32.27 tff(16069,plain,
% 49.15/32.27 (v110(constB110) | (~v108(constB109))),
% 49.15/32.27 inference(unit_resolution,[status(thm)],[16068, 253, 16062])).
% 49.15/32.27 tff(16070,plain,
% 49.15/32.27 (v110(constB110)),
% 49.15/32.27 inference(unit_resolution,[status(thm)],[16069, 16059])).
% 49.15/32.27 tff(16071,plain,
% 49.15/32.27 (((~![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)))),
% 49.15/32.27 inference(rewrite,[status(thm)],[])).
% 49.15/32.27 tff(16072,plain,
% 49.15/32.27 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB109) | (~nextState(constB109, constB110)) | (~v104(constB110)))),
% 49.15/32.27 inference(quant_inst,[status(thm)],[])).
% 49.15/32.27 tff(16073,plain,
% 49.15/32.27 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB109) | (~nextState(constB109, constB110)) | (~v104(constB110))),
% 49.15/32.27 inference(modus_ponens,[status(thm)],[16072, 16071])).
% 49.15/32.27 tff(16074,plain,
% 49.15/32.27 (~v104(constB110)),
% 49.15/32.27 inference(unit_resolution,[status(thm)],[16073, 271, 16062, 15930])).
% 49.15/32.27 tff(16075,plain,
% 49.15/32.27 (((~![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))),
% 49.15/32.27 inference(rewrite,[status(thm)],[])).
% 49.15/32.27 tff(16076,plain,
% 49.15/32.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB109, constB110)) | v102(constB110) | v104(constB110))),
% 49.15/32.27 inference(quant_inst,[status(thm)],[])).
% 49.15/32.27 tff(16077,plain,
% 49.15/32.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB109, constB110)) | v102(constB110) | v104(constB110)),
% 49.15/32.27 inference(modus_ponens,[status(thm)],[16076, 16075])).
% 49.15/32.27 tff(16078,plain,
% 49.15/32.27 (v102(constB110) | v104(constB110)),
% 49.15/32.27 inference(unit_resolution,[status(thm)],[16077, 285, 16062])).
% 49.15/32.27 tff(16079,plain,
% 49.15/32.27 (v102(constB110)),
% 49.15/32.27 inference(unit_resolution,[status(thm)],[16078, 16074])).
% 49.15/32.27 tff(16080,plain,
% 49.15/32.27 (v1(constB110) <=> v1(constB110)),
% 49.15/32.27 inference(rewrite,[status(thm)],[])).
% 49.15/32.27 tff(16081,axiom,(v1(constB110)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_110_1')).
% 49.15/32.27 tff(16082,plain,
% 49.15/32.27 (v1(constB110)),
% 49.15/32.27 inference(modus_ponens,[status(thm)],[16081, 16080])).
% 49.15/32.27 tff(16083,plain,
% 49.15/32.27 (((~![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)))),
% 49.15/32.27 inference(rewrite,[status(thm)],[])).
% 49.15/32.27 tff(16084,plain,
% 49.15/32.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB109, constB110)) | v101(constB110) | (~v102(constB110)) | (~v1(constB110)))),
% 49.15/32.27 inference(quant_inst,[status(thm)],[])).
% 49.15/32.27 tff(16085,plain,
% 49.15/32.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB109, constB110)) | v101(constB110) | (~v102(constB110)) | (~v1(constB110))),
% 49.15/32.27 inference(modus_ponens,[status(thm)],[16084, 16083])).
% 49.15/32.27 tff(16086,plain,
% 49.15/32.27 (v101(constB110) | (~v102(constB110))),
% 49.15/32.27 inference(unit_resolution,[status(thm)],[16085, 303, 16062, 16082])).
% 49.15/32.27 tff(16087,plain,
% 49.15/32.27 (v101(constB110)),
% 49.15/32.27 inference(unit_resolution,[status(thm)],[16086, 16079])).
% 49.15/32.27 tff(16088,plain,
% 49.15/32.27 (((~![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)))),
% 49.15/32.27 inference(rewrite,[status(thm)],[])).
% 49.15/32.27 tff(16089,plain,
% 49.15/32.27 (((~nextState(constB109, constB110)) | (~v101(constB110)) | (~v110(constB110)) | v100(constB110)) <=> ((~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110)))),
% 49.15/32.27 inference(rewrite,[status(thm)],[])).
% 49.15/32.27 tff(16090,plain,
% 49.15/32.27 (((~![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))))),
% 49.15/32.27 inference(monotonicity,[status(thm)],[16089])).
% 49.15/32.27 tff(16091,plain,
% 49.15/32.27 (((~![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)))),
% 49.15/32.27 inference(transitivity,[status(thm)],[16090, 16088])).
% 49.15/32.27 tff(16092,plain,
% 49.15/32.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB109, constB110)) | (~v101(constB110)) | (~v110(constB110)) | v100(constB110))),
% 49.15/32.27 inference(quant_inst,[status(thm)],[])).
% 49.15/32.27 tff(16093,plain,
% 49.15/32.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110))),
% 49.15/32.27 inference(modus_ponens,[status(thm)],[16092, 16091])).
% 49.15/32.27 tff(16094,plain,
% 49.15/32.27 (v100(constB110) | (~v101(constB110)) | (~v110(constB110))),
% 49.15/32.27 inference(unit_resolution,[status(thm)],[16093, 318, 16062])).
% 49.15/32.27 tff(16095,plain,
% 49.15/32.27 (v100(constB110) | (~v110(constB110))),
% 49.15/32.27 inference(unit_resolution,[status(thm)],[16094, 16087])).
% 49.15/32.27 tff(16096,plain,
% 49.15/32.27 (v100(constB110)),
% 49.15/32.27 inference(unit_resolution,[status(thm)],[16095, 16070])).
% 49.15/32.27 tff(16097,plain,
% 49.15/32.27 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB109)) | (~v130(constB109, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB109)) | (~v130(constB109, bitIndex2)))),
% 49.15/32.27 inference(rewrite,[status(thm)],[])).
% 49.15/32.27 tff(16098,plain,
% 49.15/32.27 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB109)) | (~v130(constB109, bitIndex2)))),
% 49.15/32.27 inference(quant_inst,[status(thm)],[])).
% 49.15/32.27 tff(16099,plain,
% 49.15/32.27 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB109)) | (~v130(constB109, bitIndex2))),
% 49.15/32.27 inference(modus_ponens,[status(thm)],[16098, 16097])).
% 49.15/32.27 tff(16100,plain,
% 49.15/32.27 (~v130(constB109, bitIndex2)),
% 49.15/32.27 inference(unit_resolution,[status(thm)],[16099, 1645, 16023])).
% 49.15/32.27 tff(16101,plain,
% 49.15/32.27 (((~![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))),
% 49.15/32.27 inference(rewrite,[status(thm)],[])).
% 49.15/32.27 tff(16102,plain,
% 49.15/32.27 ((v26(constB109) | v130(constB109, bitIndex2) | (~v127(constB109, bitIndex2))) <=> ((~v127(constB109, bitIndex2)) | v26(constB109) | v130(constB109, bitIndex2))),
% 49.15/32.27 inference(rewrite,[status(thm)],[])).
% 49.15/32.27 tff(16103,plain,
% 49.15/32.27 (((~![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)))),
% 49.15/32.27 inference(monotonicity,[status(thm)],[16102])).
% 49.15/32.27 tff(16104,plain,
% 49.15/32.27 (((~![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))),
% 49.15/32.27 inference(transitivity,[status(thm)],[16103, 16101])).
% 49.15/32.27 tff(16105,plain,
% 49.15/32.27 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB109) | v130(constB109, bitIndex2) | (~v127(constB109, bitIndex2)))),
% 49.15/32.27 inference(quant_inst,[status(thm)],[])).
% 49.15/32.27 tff(16106,plain,
% 49.15/32.27 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB109, bitIndex2)) | v26(constB109) | v130(constB109, bitIndex2)),
% 49.15/32.27 inference(modus_ponens,[status(thm)],[16105, 16104])).
% 49.15/32.27 tff(16107,plain,
% 49.15/32.27 ((~v127(constB109, bitIndex2)) | v130(constB109, bitIndex2)),
% 49.15/32.27 inference(unit_resolution,[status(thm)],[16106, 1210, 16047])).
% 49.15/32.27 tff(16108,plain,
% 49.15/32.27 (~v127(constB109, bitIndex2)),
% 49.15/32.27 inference(unit_resolution,[status(thm)],[16107, 16100])).
% 49.15/32.27 tff(16109,plain,
% 49.15/32.27 (((~![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)))),
% 49.15/32.27 inference(rewrite,[status(thm)],[])).
% 49.15/32.27 tff(16110,plain,
% 49.15/32.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB109, constB110)) | v127(constB109, bitIndex2) | (~v129(constB110, bitIndex2)))),
% 49.15/32.27 inference(quant_inst,[status(thm)],[])).
% 49.15/32.27 tff(16111,plain,
% 49.15/32.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB109, constB110)) | v127(constB109, bitIndex2) | (~v129(constB110, bitIndex2))),
% 49.15/32.27 inference(modus_ponens,[status(thm)],[16110, 16109])).
% 49.15/32.27 tff(16112,plain,
% 49.15/32.27 (v127(constB109, bitIndex2) | (~v129(constB110, bitIndex2))),
% 49.15/32.27 inference(unit_resolution,[status(thm)],[16111, 1243, 16062])).
% 49.15/32.27 tff(16113,plain,
% 49.15/32.27 (~v129(constB110, bitIndex2)),
% 49.15/32.27 inference(unit_resolution,[status(thm)],[16112, 16108])).
% 49.15/32.27 tff(16114,plain,
% 49.15/32.27 (((~![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)))),
% 49.15/32.27 inference(rewrite,[status(thm)],[])).
% 49.15/32.27 tff(16115,plain,
% 49.15/32.27 (((~v90(constB110, bitIndex2)) | (~v100(constB110)) | v129(constB110, bitIndex2)) <=> ((~v90(constB110, bitIndex2)) | v129(constB110, bitIndex2) | (~v100(constB110)))),
% 49.15/32.27 inference(rewrite,[status(thm)],[])).
% 49.15/32.27 tff(16116,plain,
% 49.15/32.27 (((~![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))))),
% 49.15/32.27 inference(monotonicity,[status(thm)],[16115])).
% 49.15/32.27 tff(16117,plain,
% 49.15/32.27 (((~![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)))),
% 49.15/32.27 inference(transitivity,[status(thm)],[16116, 16114])).
% 49.15/32.27 tff(16118,plain,
% 49.15/32.27 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB110, bitIndex2)) | (~v100(constB110)) | v129(constB110, bitIndex2))),
% 49.15/32.27 inference(quant_inst,[status(thm)],[])).
% 49.15/32.27 tff(16119,plain,
% 49.15/32.27 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB110, bitIndex2)) | v129(constB110, bitIndex2) | (~v100(constB110))),
% 49.15/32.27 inference(modus_ponens,[status(thm)],[16118, 16117])).
% 49.15/32.27 tff(16120,plain,
% 49.15/32.27 ((~v90(constB110, bitIndex2)) | (~v100(constB110))),
% 49.15/32.27 inference(unit_resolution,[status(thm)],[16119, 1258, 16113])).
% 49.15/32.27 tff(16121,plain,
% 49.15/32.27 (~v90(constB110, bitIndex2)),
% 49.15/32.27 inference(unit_resolution,[status(thm)],[16120, 16096])).
% 49.15/32.27 tff(16122,plain,
% 49.15/32.27 ((~v1(constB111)) <=> (~v1(constB111))),
% 49.15/32.27 inference(rewrite,[status(thm)],[])).
% 49.15/32.27 tff(16123,axiom,(~v1(constB111)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_111_1_1')).
% 49.15/32.27 tff(16124,plain,
% 49.15/32.27 (~v1(constB111)),
% 49.15/32.27 inference(modus_ponens,[status(thm)],[16123, 16122])).
% 49.15/32.27 tff(16125,plain,
% 49.15/32.27 (nextState(constB110, constB111) <=> nextState(constB110, constB111)),
% 49.15/32.27 inference(rewrite,[status(thm)],[])).
% 49.15/32.27 tff(16126,axiom,(nextState(constB110, constB111)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_110_1')).
% 49.15/32.27 tff(16127,plain,
% 49.15/32.27 (nextState(constB110, constB111)),
% 49.15/32.27 inference(modus_ponens,[status(thm)],[16126, 16125])).
% 49.15/32.27 tff(16128,plain,
% 49.15/32.27 (((~![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)))),
% 49.15/32.27 inference(rewrite,[status(thm)],[])).
% 49.15/32.27 tff(16129,plain,
% 49.15/32.27 (((~nextState(constB110, constB111)) | (~v101(constB111)) | v1(constB111)) <=> (v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111)))),
% 49.15/32.27 inference(rewrite,[status(thm)],[])).
% 49.15/32.27 tff(16130,plain,
% 49.15/32.27 (((~![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))))),
% 49.15/32.27 inference(monotonicity,[status(thm)],[16129])).
% 49.15/32.27 tff(16131,plain,
% 49.15/32.27 (((~![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)))),
% 49.15/32.27 inference(transitivity,[status(thm)],[16130, 16128])).
% 49.15/32.27 tff(16132,plain,
% 49.15/32.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB110, constB111)) | (~v101(constB111)) | v1(constB111))),
% 49.15/32.27 inference(quant_inst,[status(thm)],[])).
% 49.15/32.27 tff(16133,plain,
% 49.15/32.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111))),
% 49.15/32.27 inference(modus_ponens,[status(thm)],[16132, 16131])).
% 49.15/32.27 tff(16134,plain,
% 49.15/32.27 (~v101(constB111)),
% 49.15/32.27 inference(unit_resolution,[status(thm)],[16133, 49, 16127, 16124])).
% 49.15/32.27 tff(16135,plain,
% 49.15/32.27 (((~![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)))),
% 49.15/32.27 inference(rewrite,[status(thm)],[])).
% 49.15/32.27 tff(16136,plain,
% 49.15/32.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB110, constB111)) | v101(constB111) | (~v100(constB111)))),
% 49.15/32.27 inference(quant_inst,[status(thm)],[])).
% 49.15/32.27 tff(16137,plain,
% 49.15/32.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB110, constB111)) | v101(constB111) | (~v100(constB111))),
% 49.15/32.27 inference(modus_ponens,[status(thm)],[16136, 16135])).
% 49.15/32.27 tff(16138,plain,
% 49.15/32.27 (v101(constB111) | (~v100(constB111))),
% 49.15/32.27 inference(unit_resolution,[status(thm)],[16137, 66, 16127])).
% 49.15/32.27 tff(16139,plain,
% 49.15/32.27 (~v100(constB111)),
% 49.15/32.27 inference(unit_resolution,[status(thm)],[16138, 16134])).
% 49.15/32.27 tff(16140,plain,
% 49.15/32.27 (((~![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)))),
% 49.15/32.27 inference(rewrite,[status(thm)],[])).
% 49.15/32.27 tff(16141,plain,
% 49.15/32.27 (((~nextState(constB110, constB111)) | v90(constB110, bitIndex2) | v100(constB111) | (~v90(constB111, bitIndex2))) <=> (v90(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, bitIndex2)))),
% 49.15/32.27 inference(rewrite,[status(thm)],[])).
% 49.15/32.27 tff(16142,plain,
% 49.15/32.27 (((~![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))))),
% 49.15/32.27 inference(monotonicity,[status(thm)],[16141])).
% 49.15/32.27 tff(16143,plain,
% 49.15/32.27 (((~![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)))),
% 49.15/32.27 inference(transitivity,[status(thm)],[16142, 16140])).
% 49.15/32.27 tff(16144,plain,
% 49.15/32.27 ((~![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)))),
% 49.15/32.27 inference(quant_inst,[status(thm)],[])).
% 49.15/32.27 tff(16145,plain,
% 49.15/32.27 ((~![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))),
% 49.15/32.27 inference(modus_ponens,[status(thm)],[16144, 16143])).
% 49.15/32.27 tff(16146,plain,
% 49.15/32.27 (v90(constB110, bitIndex2) | v100(constB111) | (~v90(constB111, bitIndex2))),
% 49.15/32.27 inference(unit_resolution,[status(thm)],[16145, 81, 16127])).
% 49.15/32.27 tff(16147,plain,
% 49.15/32.27 (v90(constB110, bitIndex2) | (~v90(constB111, bitIndex2))),
% 49.15/32.27 inference(unit_resolution,[status(thm)],[16146, 16139])).
% 49.15/32.27 tff(16148,plain,
% 49.15/32.27 (~v90(constB111, bitIndex2)),
% 49.15/32.27 inference(unit_resolution,[status(thm)],[16147, 16121])).
% 49.15/32.27 tff(16149,plain,
% 49.15/32.27 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB109)) | v130(constB109, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB109)) | v130(constB109, bitIndex1))),
% 49.15/32.27 inference(rewrite,[status(thm)],[])).
% 49.15/32.27 tff(16150,plain,
% 49.15/32.27 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB109)) | v130(constB109, bitIndex1))),
% 49.15/32.27 inference(quant_inst,[status(thm)],[])).
% 49.15/32.27 tff(16151,plain,
% 49.15/32.27 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB109)) | v130(constB109, bitIndex1)),
% 49.15/32.27 inference(modus_ponens,[status(thm)],[16150, 16149])).
% 49.15/32.27 tff(16152,plain,
% 49.15/32.27 (v130(constB109, bitIndex1)),
% 49.15/32.27 inference(unit_resolution,[status(thm)],[16151, 1707, 16023])).
% 49.15/32.27 tff(16153,plain,
% 49.15/32.27 (((~![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))),
% 49.15/32.27 inference(rewrite,[status(thm)],[])).
% 49.15/32.27 tff(16154,plain,
% 49.15/32.27 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB109) | (~v130(constB109, bitIndex1)) | v127(constB109, bitIndex1))),
% 49.15/32.27 inference(quant_inst,[status(thm)],[])).
% 49.15/32.27 tff(16155,plain,
% 49.15/32.27 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB109) | (~v130(constB109, bitIndex1)) | v127(constB109, bitIndex1)),
% 49.15/32.27 inference(modus_ponens,[status(thm)],[16154, 16153])).
% 49.15/32.27 tff(16156,plain,
% 49.15/32.27 ((~v130(constB109, bitIndex1)) | v127(constB109, bitIndex1)),
% 49.15/32.27 inference(unit_resolution,[status(thm)],[16155, 681, 16047])).
% 49.15/32.27 tff(16157,plain,
% 49.15/32.27 (v127(constB109, bitIndex1)),
% 49.15/32.27 inference(unit_resolution,[status(thm)],[16156, 16152])).
% 49.15/32.27 tff(16158,plain,
% 49.15/32.27 (((~![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))),
% 49.15/32.27 inference(rewrite,[status(thm)],[])).
% 49.15/32.27 tff(16159,plain,
% 49.15/32.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB109, constB110)) | (~v127(constB109, bitIndex1)) | v129(constB110, bitIndex1))),
% 49.15/32.27 inference(quant_inst,[status(thm)],[])).
% 49.15/32.27 tff(16160,plain,
% 49.15/32.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB109, constB110)) | (~v127(constB109, bitIndex1)) | v129(constB110, bitIndex1)),
% 49.15/32.27 inference(modus_ponens,[status(thm)],[16159, 16158])).
% 49.15/32.27 tff(16161,plain,
% 49.15/32.27 ((~v127(constB109, bitIndex1)) | v129(constB110, bitIndex1)),
% 49.15/32.27 inference(unit_resolution,[status(thm)],[16160, 696, 16062])).
% 49.15/32.27 tff(16162,plain,
% 49.15/32.27 (v129(constB110, bitIndex1)),
% 49.15/32.27 inference(unit_resolution,[status(thm)],[16161, 16157])).
% 49.15/32.27 tff(16163,plain,
% 49.15/32.27 (((~![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)))),
% 49.15/32.27 inference(rewrite,[status(thm)],[])).
% 49.15/32.27 tff(16164,plain,
% 49.15/32.27 ((v90(constB110, bitIndex1) | (~v100(constB110)) | (~v129(constB110, bitIndex1))) <=> (v90(constB110, bitIndex1) | (~v129(constB110, bitIndex1)) | (~v100(constB110)))),
% 49.15/32.27 inference(rewrite,[status(thm)],[])).
% 49.15/32.27 tff(16165,plain,
% 49.15/32.27 (((~![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))))),
% 49.15/32.27 inference(monotonicity,[status(thm)],[16164])).
% 49.15/32.27 tff(16166,plain,
% 49.15/32.27 (((~![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)))),
% 49.15/32.27 inference(transitivity,[status(thm)],[16165, 16163])).
% 49.15/32.27 tff(16167,plain,
% 49.15/32.27 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB110, bitIndex1) | (~v100(constB110)) | (~v129(constB110, bitIndex1)))),
% 49.15/32.27 inference(quant_inst,[status(thm)],[])).
% 49.15/32.27 tff(16168,plain,
% 49.15/32.27 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB110, bitIndex1) | (~v129(constB110, bitIndex1)) | (~v100(constB110))),
% 49.15/32.27 inference(modus_ponens,[status(thm)],[16167, 16166])).
% 49.15/32.27 tff(16169,plain,
% 49.15/32.27 (v90(constB110, bitIndex1) | (~v100(constB110))),
% 49.15/32.27 inference(unit_resolution,[status(thm)],[16168, 711, 16162])).
% 49.15/32.27 tff(16170,plain,
% 49.15/32.27 (v90(constB110, bitIndex1)),
% 49.15/32.27 inference(unit_resolution,[status(thm)],[16169, 16096])).
% 49.15/32.27 tff(16171,plain,
% 49.15/32.27 (((~![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))),
% 49.15/32.27 inference(rewrite,[status(thm)],[])).
% 49.15/32.27 tff(16172,plain,
% 49.15/32.27 (((~nextState(constB110, constB111)) | (~v90(constB110, bitIndex1)) | v100(constB111) | v90(constB111, bitIndex1)) <=> ((~v90(constB110, bitIndex1)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex1))),
% 49.15/32.27 inference(rewrite,[status(thm)],[])).
% 49.15/32.27 tff(16173,plain,
% 49.15/32.27 (((~![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)))),
% 49.15/32.27 inference(monotonicity,[status(thm)],[16172])).
% 49.15/32.27 tff(16174,plain,
% 49.15/32.27 (((~![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))),
% 49.15/32.27 inference(transitivity,[status(thm)],[16173, 16171])).
% 49.15/32.27 tff(16175,plain,
% 49.15/32.27 ((~![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))),
% 49.15/32.27 inference(quant_inst,[status(thm)],[])).
% 49.15/32.27 tff(16176,plain,
% 49.15/32.27 ((~![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)),
% 49.15/32.28 inference(modus_ponens,[status(thm)],[16175, 16174])).
% 49.15/32.28 tff(16177,plain,
% 49.15/32.28 ((~v90(constB110, bitIndex1)) | v100(constB111) | v90(constB111, bitIndex1)),
% 49.15/32.28 inference(unit_resolution,[status(thm)],[16176, 747, 16127])).
% 49.15/32.28 tff(16178,plain,
% 49.15/32.28 ((~v90(constB110, bitIndex1)) | v90(constB111, bitIndex1)),
% 49.15/32.28 inference(unit_resolution,[status(thm)],[16177, 16139])).
% 49.15/32.28 tff(16179,plain,
% 49.15/32.28 (v90(constB111, bitIndex1)),
% 49.15/32.28 inference(unit_resolution,[status(thm)],[16178, 16170])).
% 49.15/32.28 tff(16180,plain,
% 49.15/32.28 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB109)) | v130(constB109, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB109)) | v130(constB109, bitIndex0))),
% 49.15/32.28 inference(rewrite,[status(thm)],[])).
% 49.15/32.28 tff(16181,plain,
% 49.15/32.28 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB109)) | v130(constB109, bitIndex0))),
% 49.15/32.28 inference(quant_inst,[status(thm)],[])).
% 49.15/32.28 tff(16182,plain,
% 49.15/32.28 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB109)) | v130(constB109, bitIndex0)),
% 49.15/32.28 inference(modus_ponens,[status(thm)],[16181, 16180])).
% 49.15/32.28 tff(16183,plain,
% 49.15/32.28 (v130(constB109, bitIndex0)),
% 49.15/32.28 inference(unit_resolution,[status(thm)],[16182, 1748, 16023])).
% 49.15/32.28 tff(16184,plain,
% 49.15/32.28 (((~![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))),
% 49.15/32.28 inference(rewrite,[status(thm)],[])).
% 49.15/32.28 tff(16185,plain,
% 49.15/32.28 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB109) | (~v130(constB109, bitIndex0)) | v127(constB109, bitIndex0))),
% 49.15/32.28 inference(quant_inst,[status(thm)],[])).
% 49.15/32.28 tff(16186,plain,
% 49.15/32.28 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB109) | (~v130(constB109, bitIndex0)) | v127(constB109, bitIndex0)),
% 49.15/32.28 inference(modus_ponens,[status(thm)],[16185, 16184])).
% 49.15/32.28 tff(16187,plain,
% 49.15/32.28 ((~v130(constB109, bitIndex0)) | v127(constB109, bitIndex0)),
% 49.15/32.28 inference(unit_resolution,[status(thm)],[16186, 926, 16047])).
% 49.15/32.28 tff(16188,plain,
% 49.15/32.28 (v127(constB109, bitIndex0)),
% 49.15/32.28 inference(unit_resolution,[status(thm)],[16187, 16183])).
% 49.15/32.28 tff(16189,plain,
% 49.15/32.28 (((~![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))),
% 49.15/32.28 inference(rewrite,[status(thm)],[])).
% 49.15/32.28 tff(16190,plain,
% 49.15/32.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB109, constB110)) | (~v127(constB109, bitIndex0)) | v129(constB110, bitIndex0))),
% 49.15/32.28 inference(quant_inst,[status(thm)],[])).
% 49.15/32.28 tff(16191,plain,
% 49.15/32.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB109, constB110)) | (~v127(constB109, bitIndex0)) | v129(constB110, bitIndex0)),
% 49.15/32.28 inference(modus_ponens,[status(thm)],[16190, 16189])).
% 49.15/32.28 tff(16192,plain,
% 49.15/32.28 ((~v127(constB109, bitIndex0)) | v129(constB110, bitIndex0)),
% 49.15/32.28 inference(unit_resolution,[status(thm)],[16191, 944, 16062])).
% 49.15/32.28 tff(16193,plain,
% 49.15/32.28 (v129(constB110, bitIndex0)),
% 49.15/32.28 inference(unit_resolution,[status(thm)],[16192, 16188])).
% 49.15/32.28 tff(16194,plain,
% 49.15/32.28 (((~![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)))),
% 49.15/32.28 inference(rewrite,[status(thm)],[])).
% 49.15/32.28 tff(16195,plain,
% 49.15/32.28 ((v90(constB110, bitIndex0) | (~v100(constB110)) | (~v129(constB110, bitIndex0))) <=> (v90(constB110, bitIndex0) | (~v129(constB110, bitIndex0)) | (~v100(constB110)))),
% 49.15/32.28 inference(rewrite,[status(thm)],[])).
% 49.15/32.28 tff(16196,plain,
% 49.15/32.28 (((~![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))))),
% 49.15/32.28 inference(monotonicity,[status(thm)],[16195])).
% 49.15/32.28 tff(16197,plain,
% 49.15/32.28 (((~![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)))),
% 49.15/32.28 inference(transitivity,[status(thm)],[16196, 16194])).
% 49.15/32.28 tff(16198,plain,
% 49.15/32.28 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB110, bitIndex0) | (~v100(constB110)) | (~v129(constB110, bitIndex0)))),
% 49.15/32.28 inference(quant_inst,[status(thm)],[])).
% 49.15/32.28 tff(16199,plain,
% 49.15/32.28 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB110, bitIndex0) | (~v129(constB110, bitIndex0)) | (~v100(constB110))),
% 49.15/32.28 inference(modus_ponens,[status(thm)],[16198, 16197])).
% 49.15/32.28 tff(16200,plain,
% 49.15/32.28 (v90(constB110, bitIndex0) | (~v100(constB110))),
% 49.15/32.28 inference(unit_resolution,[status(thm)],[16199, 1088, 16193])).
% 49.15/32.28 tff(16201,plain,
% 49.15/32.28 (v90(constB110, bitIndex0)),
% 49.15/32.28 inference(unit_resolution,[status(thm)],[16200, 16096])).
% 49.15/32.28 tff(16202,plain,
% 49.15/32.28 (((~![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))),
% 49.15/32.28 inference(rewrite,[status(thm)],[])).
% 49.15/32.28 tff(16203,plain,
% 49.15/32.28 (((~nextState(constB110, constB111)) | (~v90(constB110, bitIndex0)) | v100(constB111) | v90(constB111, bitIndex0)) <=> ((~v90(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, bitIndex0))),
% 49.15/32.28 inference(rewrite,[status(thm)],[])).
% 49.15/32.28 tff(16204,plain,
% 49.15/32.28 (((~![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)))),
% 49.15/32.28 inference(monotonicity,[status(thm)],[16203])).
% 49.15/32.28 tff(16205,plain,
% 49.15/32.28 (((~![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))),
% 49.15/32.28 inference(transitivity,[status(thm)],[16204, 16202])).
% 49.15/32.28 tff(16206,plain,
% 49.15/32.28 ((~![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))),
% 49.15/32.28 inference(quant_inst,[status(thm)],[])).
% 49.15/32.28 tff(16207,plain,
% 49.15/32.28 ((~![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)),
% 49.15/32.28 inference(modus_ponens,[status(thm)],[16206, 16205])).
% 49.15/32.28 tff(16208,plain,
% 49.15/32.28 ((~v90(constB110, bitIndex0)) | v100(constB111) | v90(constB111, bitIndex0)),
% 49.15/32.28 inference(unit_resolution,[status(thm)],[16207, 1124, 16127])).
% 49.15/32.28 tff(16209,plain,
% 49.15/32.28 ((~v90(constB110, bitIndex0)) | v90(constB111, bitIndex0)),
% 49.15/32.28 inference(unit_resolution,[status(thm)],[16208, 16139])).
% 49.15/32.28 tff(16210,plain,
% 49.15/32.28 (v90(constB111, bitIndex0)),
% 49.15/32.28 inference(unit_resolution,[status(thm)],[16209, 16201])).
% 49.15/32.28 tff(16211,plain,
% 49.15/32.28 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB111, bitIndex0)) | (~v90(constB111, bitIndex1)) | v90(constB111, bitIndex2) | v122(constB111))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB111, bitIndex0)) | (~v90(constB111, bitIndex1)) | v90(constB111, bitIndex2) | v122(constB111))),
% 49.15/32.28 inference(rewrite,[status(thm)],[])).
% 49.15/32.28 tff(16212,plain,
% 49.15/32.28 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB111, bitIndex0)) | (~v90(constB111, bitIndex1)) | v90(constB111, bitIndex2) | v122(constB111))),
% 49.15/32.28 inference(quant_inst,[status(thm)],[])).
% 49.15/32.28 tff(16213,plain,
% 49.15/32.28 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB111, bitIndex0)) | (~v90(constB111, bitIndex1)) | v90(constB111, bitIndex2) | v122(constB111)),
% 49.15/32.28 inference(modus_ponens,[status(thm)],[16212, 16211])).
% 49.15/32.28 tff(16214,plain,
% 49.15/32.28 (v122(constB111)),
% 49.15/32.28 inference(unit_resolution,[status(thm)],[16213, 1789, 16210, 16179, 16148])).
% 49.15/32.28 tff(16215,plain,
% 49.15/32.28 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB111) | (~v122(constB111)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB111) | (~v122(constB111)))),
% 49.15/32.28 inference(rewrite,[status(thm)],[])).
% 49.15/32.28 tff(16216,plain,
% 49.15/32.28 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB111) | (~v122(constB111)))),
% 49.15/32.28 inference(quant_inst,[status(thm)],[])).
% 49.15/32.28 tff(16217,plain,
% 49.15/32.28 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB111) | (~v122(constB111))),
% 49.15/32.28 inference(modus_ponens,[status(thm)],[16216, 16215])).
% 49.15/32.28 tff(16218,plain,
% 49.15/32.28 (v116(constB111)),
% 49.15/32.28 inference(unit_resolution,[status(thm)],[16217, 1800, 16214])).
% 49.15/32.28 tff(16219,plain,
% 49.15/32.28 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB111) | (~v116(constB111)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB111) | (~v116(constB111)))),
% 49.15/32.28 inference(rewrite,[status(thm)],[])).
% 49.15/32.28 tff(16220,plain,
% 49.15/32.28 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB111) | (~v116(constB111)))),
% 49.15/32.28 inference(quant_inst,[status(thm)],[])).
% 49.15/32.28 tff(16221,plain,
% 49.15/32.28 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB111) | (~v116(constB111))),
% 49.15/32.28 inference(modus_ponens,[status(thm)],[16220, 16219])).
% 49.15/32.28 tff(16222,plain,
% 49.15/32.28 (v115(constB111)),
% 49.15/32.28 inference(unit_resolution,[status(thm)],[16221, 188, 16218])).
% 49.15/32.28 tff(16223,plain,
% 49.15/32.28 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB111) | (~v115(constB111)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB111) | (~v115(constB111)))),
% 49.15/32.28 inference(rewrite,[status(thm)],[])).
% 49.15/32.28 tff(16224,plain,
% 49.15/32.28 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB111) | (~v115(constB111)))),
% 49.15/32.28 inference(quant_inst,[status(thm)],[])).
% 49.15/32.28 tff(16225,plain,
% 49.15/32.28 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB111) | (~v115(constB111))),
% 49.15/32.28 inference(modus_ponens,[status(thm)],[16224, 16223])).
% 49.15/32.28 tff(16226,plain,
% 49.15/32.28 (v114(constB111)),
% 49.15/32.28 inference(unit_resolution,[status(thm)],[16225, 199, 16222])).
% 49.15/32.28 tff(16227,plain,
% 49.15/32.28 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB111) | (~v114(constB111)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB111) | (~v114(constB111)))),
% 49.15/32.28 inference(rewrite,[status(thm)],[])).
% 49.15/32.28 tff(16228,plain,
% 49.15/32.28 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB111) | (~v114(constB111)))),
% 49.15/32.28 inference(quant_inst,[status(thm)],[])).
% 49.15/32.28 tff(16229,plain,
% 49.15/32.28 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB111) | (~v114(constB111))),
% 49.15/32.28 inference(modus_ponens,[status(thm)],[16228, 16227])).
% 49.15/32.28 tff(16230,plain,
% 49.15/32.28 (v113(constB111)),
% 49.15/32.28 inference(unit_resolution,[status(thm)],[16229, 210, 16226])).
% 49.15/32.28 tff(16231,assumption,(v26(constB111)), introduced(assumption)).
% 49.15/32.28 tff(16232,plain,
% 49.15/32.28 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB111))),
% 49.15/32.28 inference(quant_inst,[status(thm)],[])).
% 49.15/32.28 tff(16233,plain,
% 49.15/32.28 ($false),
% 49.15/32.28 inference(unit_resolution,[status(thm)],[16232, 16, 16231])).
% 49.15/32.28 tff(16234,plain,(~v26(constB111)), inference(lemma,lemma(discharge,[]))).
% 49.15/32.28 tff(16235,plain,
% 49.15/32.28 (((~![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))),
% 49.15/32.28 inference(rewrite,[status(thm)],[])).
% 49.15/32.28 tff(16236,plain,
% 49.15/32.28 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB111) | (~v113(constB111)) | v112(constB111))),
% 49.15/32.28 inference(quant_inst,[status(thm)],[])).
% 49.15/32.28 tff(16237,plain,
% 49.15/32.28 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB111) | (~v113(constB111)) | v112(constB111)),
% 49.15/32.28 inference(modus_ponens,[status(thm)],[16236, 16235])).
% 49.15/32.28 tff(16238,plain,
% 49.15/32.28 ((~v113(constB111)) | v112(constB111)),
% 49.15/32.28 inference(unit_resolution,[status(thm)],[16237, 224, 16234])).
% 49.15/32.28 tff(16239,plain,
% 49.15/32.28 (v112(constB111)),
% 49.15/32.28 inference(unit_resolution,[status(thm)],[16238, 16230])).
% 49.15/32.28 tff(16240,plain,
% 49.15/32.28 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB111) | (~v112(constB111)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB111) | (~v112(constB111)))),
% 49.15/32.28 inference(rewrite,[status(thm)],[])).
% 49.15/32.28 tff(16241,plain,
% 49.15/32.28 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB111) | (~v112(constB111)))),
% 49.15/32.28 inference(quant_inst,[status(thm)],[])).
% 49.15/32.28 tff(16242,plain,
% 49.15/32.28 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB111) | (~v112(constB111))),
% 49.15/32.28 inference(modus_ponens,[status(thm)],[16241, 16240])).
% 49.15/32.28 tff(16243,plain,
% 49.15/32.28 (v108(constB111)),
% 49.15/32.28 inference(unit_resolution,[status(thm)],[16242, 236, 16239])).
% 49.15/32.28 tff(16244,plain,
% 49.15/32.28 (nextState(constB111, constB112) <=> nextState(constB111, constB112)),
% 49.15/32.28 inference(rewrite,[status(thm)],[])).
% 49.15/32.28 tff(16245,axiom,(nextState(constB111, constB112)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_111_1')).
% 49.15/32.28 tff(16246,plain,
% 49.15/32.28 (nextState(constB111, constB112)),
% 49.15/32.28 inference(modus_ponens,[status(thm)],[16245, 16244])).
% 49.15/32.28 tff(16247,plain,
% 49.15/32.28 (((~![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)))),
% 49.15/32.28 inference(rewrite,[status(thm)],[])).
% 49.15/32.28 tff(16248,plain,
% 49.15/32.28 (((~nextState(constB111, constB112)) | (~v108(constB111)) | v110(constB112)) <=> ((~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111)))),
% 49.15/32.28 inference(rewrite,[status(thm)],[])).
% 49.15/32.28 tff(16249,plain,
% 49.15/32.28 (((~![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))))),
% 49.15/32.28 inference(monotonicity,[status(thm)],[16248])).
% 49.15/32.28 tff(16250,plain,
% 49.15/32.28 (((~![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)))),
% 49.15/32.28 inference(transitivity,[status(thm)],[16249, 16247])).
% 49.15/32.28 tff(16251,plain,
% 49.15/32.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB111, constB112)) | (~v108(constB111)) | v110(constB112))),
% 49.15/32.28 inference(quant_inst,[status(thm)],[])).
% 49.15/32.28 tff(16252,plain,
% 49.15/32.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111))),
% 49.15/32.28 inference(modus_ponens,[status(thm)],[16251, 16250])).
% 49.15/32.28 tff(16253,plain,
% 49.15/32.28 (v110(constB112) | (~v108(constB111))),
% 49.15/32.28 inference(unit_resolution,[status(thm)],[16252, 253, 16246])).
% 49.15/32.28 tff(16254,plain,
% 49.15/32.28 (v110(constB112)),
% 49.15/32.28 inference(unit_resolution,[status(thm)],[16253, 16243])).
% 49.15/32.28 tff(16255,plain,
% 49.15/32.28 (((~![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)))),
% 49.15/32.28 inference(rewrite,[status(thm)],[])).
% 49.15/32.28 tff(16256,plain,
% 49.15/32.28 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB111) | (~nextState(constB111, constB112)) | (~v104(constB112)))),
% 49.15/32.28 inference(quant_inst,[status(thm)],[])).
% 49.15/32.28 tff(16257,plain,
% 49.15/32.28 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB111) | (~nextState(constB111, constB112)) | (~v104(constB112))),
% 49.15/32.28 inference(modus_ponens,[status(thm)],[16256, 16255])).
% 49.15/32.28 tff(16258,plain,
% 49.15/32.28 (~v104(constB112)),
% 49.15/32.28 inference(unit_resolution,[status(thm)],[16257, 271, 16246, 16124])).
% 49.15/32.28 tff(16259,plain,
% 49.15/32.28 (((~![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))),
% 49.15/32.28 inference(rewrite,[status(thm)],[])).
% 49.15/32.28 tff(16260,plain,
% 49.15/32.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB111, constB112)) | v102(constB112) | v104(constB112))),
% 49.15/32.28 inference(quant_inst,[status(thm)],[])).
% 49.15/32.28 tff(16261,plain,
% 49.15/32.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB111, constB112)) | v102(constB112) | v104(constB112)),
% 49.15/32.28 inference(modus_ponens,[status(thm)],[16260, 16259])).
% 49.15/32.28 tff(16262,plain,
% 49.15/32.28 (v102(constB112) | v104(constB112)),
% 49.15/32.28 inference(unit_resolution,[status(thm)],[16261, 285, 16246])).
% 49.15/32.28 tff(16263,plain,
% 49.15/32.28 (v102(constB112)),
% 49.15/32.28 inference(unit_resolution,[status(thm)],[16262, 16258])).
% 49.15/32.28 tff(16264,plain,
% 49.15/32.28 (v1(constB112) <=> v1(constB112)),
% 49.15/32.28 inference(rewrite,[status(thm)],[])).
% 49.15/32.28 tff(16265,axiom,(v1(constB112)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_112_1')).
% 49.15/32.28 tff(16266,plain,
% 49.15/32.28 (v1(constB112)),
% 49.15/32.28 inference(modus_ponens,[status(thm)],[16265, 16264])).
% 49.15/32.28 tff(16267,plain,
% 49.15/32.28 (((~![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)))),
% 49.15/32.28 inference(rewrite,[status(thm)],[])).
% 49.15/32.28 tff(16268,plain,
% 49.15/32.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB111, constB112)) | v101(constB112) | (~v102(constB112)) | (~v1(constB112)))),
% 49.15/32.28 inference(quant_inst,[status(thm)],[])).
% 49.15/32.28 tff(16269,plain,
% 49.15/32.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB111, constB112)) | v101(constB112) | (~v102(constB112)) | (~v1(constB112))),
% 49.15/32.28 inference(modus_ponens,[status(thm)],[16268, 16267])).
% 49.15/32.28 tff(16270,plain,
% 49.15/32.28 (v101(constB112) | (~v102(constB112))),
% 49.15/32.28 inference(unit_resolution,[status(thm)],[16269, 303, 16246, 16266])).
% 49.15/32.28 tff(16271,plain,
% 49.15/32.28 (v101(constB112)),
% 49.15/32.28 inference(unit_resolution,[status(thm)],[16270, 16263])).
% 49.15/32.28 tff(16272,plain,
% 49.15/32.28 (((~![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)))),
% 49.15/32.28 inference(rewrite,[status(thm)],[])).
% 49.15/32.28 tff(16273,plain,
% 49.15/32.28 (((~nextState(constB111, constB112)) | (~v101(constB112)) | (~v110(constB112)) | v100(constB112)) <=> ((~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112)))),
% 49.15/32.28 inference(rewrite,[status(thm)],[])).
% 49.15/32.28 tff(16274,plain,
% 49.15/32.28 (((~![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))))),
% 49.15/32.28 inference(monotonicity,[status(thm)],[16273])).
% 49.15/32.28 tff(16275,plain,
% 49.15/32.28 (((~![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)))),
% 49.15/32.28 inference(transitivity,[status(thm)],[16274, 16272])).
% 49.15/32.28 tff(16276,plain,
% 49.15/32.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB111, constB112)) | (~v101(constB112)) | (~v110(constB112)) | v100(constB112))),
% 49.15/32.28 inference(quant_inst,[status(thm)],[])).
% 49.15/32.28 tff(16277,plain,
% 49.15/32.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112))),
% 49.15/32.28 inference(modus_ponens,[status(thm)],[16276, 16275])).
% 49.15/32.28 tff(16278,plain,
% 49.15/32.28 (v100(constB112) | (~v101(constB112)) | (~v110(constB112))),
% 49.15/32.28 inference(unit_resolution,[status(thm)],[16277, 318, 16246])).
% 49.15/32.28 tff(16279,plain,
% 49.15/32.28 (v100(constB112) | (~v110(constB112))),
% 49.15/32.28 inference(unit_resolution,[status(thm)],[16278, 16271])).
% 49.15/32.28 tff(16280,plain,
% 49.15/32.28 (v100(constB112)),
% 49.15/32.28 inference(unit_resolution,[status(thm)],[16279, 16254])).
% 49.15/32.28 tff(16281,plain,
% 49.15/32.28 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB111)) | v130(constB111, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB111)) | v130(constB111, bitIndex2))),
% 49.15/32.28 inference(rewrite,[status(thm)],[])).
% 49.15/32.28 tff(16282,plain,
% 49.15/32.28 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB111)) | v130(constB111, bitIndex2))),
% 49.15/32.28 inference(quant_inst,[status(thm)],[])).
% 49.15/32.28 tff(16283,plain,
% 49.15/32.28 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB111)) | v130(constB111, bitIndex2)),
% 49.15/32.28 inference(modus_ponens,[status(thm)],[16282, 16281])).
% 49.15/32.28 tff(16284,plain,
% 49.15/32.28 (v130(constB111, bitIndex2)),
% 49.15/32.28 inference(unit_resolution,[status(thm)],[16283, 1876, 16214])).
% 49.15/32.28 tff(16285,plain,
% 49.15/32.28 (((~![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))) | v26(constB111) | (~v130(constB111, bitIndex2)) | v127(constB111, bitIndex2))),
% 49.15/32.28 inference(rewrite,[status(thm)],[])).
% 49.15/32.28 tff(16286,plain,
% 49.15/32.28 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB111) | (~v130(constB111, bitIndex2)) | v127(constB111, bitIndex2))),
% 49.15/32.28 inference(quant_inst,[status(thm)],[])).
% 49.15/32.28 tff(16287,plain,
% 49.15/32.28 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB111) | (~v130(constB111, bitIndex2)) | v127(constB111, bitIndex2)),
% 49.15/32.28 inference(modus_ponens,[status(thm)],[16286, 16285])).
% 49.15/32.28 tff(16288,plain,
% 49.15/32.28 ((~v130(constB111, bitIndex2)) | v127(constB111, bitIndex2)),
% 49.15/32.28 inference(unit_resolution,[status(thm)],[16287, 351, 16234])).
% 49.15/32.28 tff(16289,plain,
% 49.15/32.28 (v127(constB111, bitIndex2)),
% 49.15/32.28 inference(unit_resolution,[status(thm)],[16288, 16284])).
% 49.15/32.28 tff(16290,plain,
% 49.15/32.28 (((~![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))),
% 49.15/32.28 inference(rewrite,[status(thm)],[])).
% 49.15/32.28 tff(16291,plain,
% 49.15/32.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB111, constB112)) | (~v127(constB111, bitIndex2)) | v129(constB112, bitIndex2))),
% 49.15/32.28 inference(quant_inst,[status(thm)],[])).
% 49.15/32.28 tff(16292,plain,
% 49.15/32.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB111, constB112)) | (~v127(constB111, bitIndex2)) | v129(constB112, bitIndex2)),
% 49.15/32.28 inference(modus_ponens,[status(thm)],[16291, 16290])).
% 49.15/32.28 tff(16293,plain,
% 49.15/32.28 ((~v127(constB111, bitIndex2)) | v129(constB112, bitIndex2)),
% 49.15/32.28 inference(unit_resolution,[status(thm)],[16292, 366, 16246])).
% 49.15/32.28 tff(16294,plain,
% 49.15/32.28 (v129(constB112, bitIndex2)),
% 49.15/32.28 inference(unit_resolution,[status(thm)],[16293, 16289])).
% 49.15/32.28 tff(16295,plain,
% 49.15/32.28 (((~![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)))),
% 49.15/32.28 inference(rewrite,[status(thm)],[])).
% 49.15/32.28 tff(16296,plain,
% 49.15/32.28 ((v90(constB112, bitIndex2) | (~v100(constB112)) | (~v129(constB112, bitIndex2))) <=> (v90(constB112, bitIndex2) | (~v129(constB112, bitIndex2)) | (~v100(constB112)))),
% 49.15/32.28 inference(rewrite,[status(thm)],[])).
% 49.15/32.28 tff(16297,plain,
% 49.15/32.28 (((~![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))))),
% 49.15/32.28 inference(monotonicity,[status(thm)],[16296])).
% 49.15/32.28 tff(16298,plain,
% 49.15/32.28 (((~![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)))),
% 49.15/32.28 inference(transitivity,[status(thm)],[16297, 16295])).
% 49.15/32.28 tff(16299,plain,
% 49.15/32.28 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB112, bitIndex2) | (~v100(constB112)) | (~v129(constB112, bitIndex2)))),
% 49.15/32.28 inference(quant_inst,[status(thm)],[])).
% 49.15/32.28 tff(16300,plain,
% 49.15/32.28 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB112, bitIndex2) | (~v129(constB112, bitIndex2)) | (~v100(constB112))),
% 49.15/32.28 inference(modus_ponens,[status(thm)],[16299, 16298])).
% 49.15/32.28 tff(16301,plain,
% 49.15/32.28 (v90(constB112, bitIndex2) | (~v100(constB112))),
% 49.15/32.28 inference(unit_resolution,[status(thm)],[16300, 381, 16294])).
% 49.15/32.28 tff(16302,plain,
% 49.15/32.28 (v90(constB112, bitIndex2)),
% 49.15/32.28 inference(unit_resolution,[status(thm)],[16301, 16280])).
% 49.15/32.28 tff(16303,plain,
% 49.15/32.28 ((~v1(constB113)) <=> (~v1(constB113))),
% 49.15/32.28 inference(rewrite,[status(thm)],[])).
% 49.15/32.28 tff(16304,axiom,(~v1(constB113)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_113_1_1')).
% 49.15/32.28 tff(16305,plain,
% 49.15/32.28 (~v1(constB113)),
% 49.15/32.28 inference(modus_ponens,[status(thm)],[16304, 16303])).
% 49.15/32.28 tff(16306,plain,
% 49.15/32.28 (nextState(constB112, constB113) <=> nextState(constB112, constB113)),
% 49.15/32.28 inference(rewrite,[status(thm)],[])).
% 49.15/32.28 tff(16307,axiom,(nextState(constB112, constB113)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_112_1')).
% 49.15/32.28 tff(16308,plain,
% 49.15/32.28 (nextState(constB112, constB113)),
% 49.15/32.28 inference(modus_ponens,[status(thm)],[16307, 16306])).
% 49.15/32.28 tff(16309,plain,
% 49.15/32.28 (((~![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)))),
% 49.15/32.28 inference(rewrite,[status(thm)],[])).
% 49.15/32.28 tff(16310,plain,
% 49.15/32.28 (((~nextState(constB112, constB113)) | (~v101(constB113)) | v1(constB113)) <=> (v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113)))),
% 49.15/32.28 inference(rewrite,[status(thm)],[])).
% 49.15/32.28 tff(16311,plain,
% 49.15/32.28 (((~![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))))),
% 49.15/32.28 inference(monotonicity,[status(thm)],[16310])).
% 49.15/32.28 tff(16312,plain,
% 49.15/32.28 (((~![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)))),
% 49.15/32.28 inference(transitivity,[status(thm)],[16311, 16309])).
% 49.15/32.28 tff(16313,plain,
% 49.15/32.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB112, constB113)) | (~v101(constB113)) | v1(constB113))),
% 49.15/32.29 inference(quant_inst,[status(thm)],[])).
% 49.15/32.29 tff(16314,plain,
% 49.15/32.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113))),
% 49.15/32.29 inference(modus_ponens,[status(thm)],[16313, 16312])).
% 49.15/32.29 tff(16315,plain,
% 49.15/32.29 (~v101(constB113)),
% 49.15/32.29 inference(unit_resolution,[status(thm)],[16314, 49, 16308, 16305])).
% 49.15/32.29 tff(16316,plain,
% 49.15/32.29 (((~![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)))),
% 49.15/32.29 inference(rewrite,[status(thm)],[])).
% 49.15/32.29 tff(16317,plain,
% 49.15/32.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB112, constB113)) | v101(constB113) | (~v100(constB113)))),
% 49.15/32.29 inference(quant_inst,[status(thm)],[])).
% 49.15/32.29 tff(16318,plain,
% 49.15/32.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB112, constB113)) | v101(constB113) | (~v100(constB113))),
% 49.15/32.29 inference(modus_ponens,[status(thm)],[16317, 16316])).
% 49.15/32.29 tff(16319,plain,
% 49.15/32.29 (v101(constB113) | (~v100(constB113))),
% 49.15/32.29 inference(unit_resolution,[status(thm)],[16318, 66, 16308])).
% 49.15/32.29 tff(16320,plain,
% 49.15/32.29 (~v100(constB113)),
% 49.15/32.29 inference(unit_resolution,[status(thm)],[16319, 16315])).
% 49.15/32.29 tff(16321,plain,
% 49.15/32.29 (((~![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))),
% 49.15/32.29 inference(rewrite,[status(thm)],[])).
% 49.15/32.29 tff(16322,plain,
% 49.15/32.29 (((~nextState(constB112, constB113)) | (~v90(constB112, bitIndex2)) | v100(constB113) | v90(constB113, bitIndex2)) <=> ((~v90(constB112, bitIndex2)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, bitIndex2))),
% 49.15/32.29 inference(rewrite,[status(thm)],[])).
% 49.15/32.29 tff(16323,plain,
% 49.15/32.29 (((~![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)))),
% 49.15/32.29 inference(monotonicity,[status(thm)],[16322])).
% 49.15/32.29 tff(16324,plain,
% 49.15/32.29 (((~![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))),
% 49.15/32.29 inference(transitivity,[status(thm)],[16323, 16321])).
% 49.15/32.29 tff(16325,plain,
% 49.15/32.29 ((~![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))),
% 49.15/32.29 inference(quant_inst,[status(thm)],[])).
% 49.15/32.29 tff(16326,plain,
% 49.15/32.29 ((~![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)),
% 49.15/32.29 inference(modus_ponens,[status(thm)],[16325, 16324])).
% 49.15/32.29 tff(16327,plain,
% 49.15/32.29 ((~v90(constB112, bitIndex2)) | v100(constB113) | v90(constB113, bitIndex2)),
% 49.15/32.29 inference(unit_resolution,[status(thm)],[16326, 417, 16308])).
% 49.15/32.29 tff(16328,plain,
% 49.15/32.29 ((~v90(constB112, bitIndex2)) | v90(constB113, bitIndex2)),
% 49.15/32.29 inference(unit_resolution,[status(thm)],[16327, 16320])).
% 49.15/32.29 tff(16329,plain,
% 49.15/32.29 (v90(constB113, bitIndex2)),
% 49.15/32.29 inference(unit_resolution,[status(thm)],[16328, 16302])).
% 49.15/32.29 tff(16330,plain,
% 49.15/32.29 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB111)) | (~v130(constB111, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB111)) | (~v130(constB111, bitIndex1)))),
% 49.15/32.29 inference(rewrite,[status(thm)],[])).
% 49.15/32.29 tff(16331,plain,
% 49.15/32.29 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB111)) | (~v130(constB111, bitIndex1)))),
% 49.15/32.29 inference(quant_inst,[status(thm)],[])).
% 49.15/32.29 tff(16332,plain,
% 49.15/32.29 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB111)) | (~v130(constB111, bitIndex1))),
% 49.15/32.29 inference(modus_ponens,[status(thm)],[16331, 16330])).
% 49.15/32.29 tff(16333,plain,
% 49.15/32.29 (~v130(constB111, bitIndex1)),
% 49.15/32.29 inference(unit_resolution,[status(thm)],[16332, 1935, 16214])).
% 49.15/32.29 tff(16334,plain,
% 49.15/32.29 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB111, bitIndex1)) | v26(constB111) | v130(constB111, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB111, bitIndex1)) | v26(constB111) | v130(constB111, bitIndex1))),
% 49.15/32.29 inference(rewrite,[status(thm)],[])).
% 49.15/32.29 tff(16335,plain,
% 49.15/32.29 ((v26(constB111) | v130(constB111, bitIndex1) | (~v127(constB111, bitIndex1))) <=> ((~v127(constB111, bitIndex1)) | v26(constB111) | v130(constB111, bitIndex1))),
% 49.15/32.29 inference(rewrite,[status(thm)],[])).
% 49.15/32.29 tff(16336,plain,
% 49.15/32.29 (((~![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)))) | ((~v127(constB111, bitIndex1)) | v26(constB111) | v130(constB111, bitIndex1)))),
% 49.15/32.29 inference(monotonicity,[status(thm)],[16335])).
% 49.15/32.29 tff(16337,plain,
% 49.15/32.29 (((~![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)))) | (~v127(constB111, bitIndex1)) | v26(constB111) | v130(constB111, bitIndex1))),
% 49.15/32.29 inference(transitivity,[status(thm)],[16336, 16334])).
% 49.15/32.29 tff(16338,plain,
% 49.15/32.29 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB111) | v130(constB111, bitIndex1) | (~v127(constB111, bitIndex1)))),
% 49.15/32.29 inference(quant_inst,[status(thm)],[])).
% 49.15/32.29 tff(16339,plain,
% 49.15/32.29 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB111, bitIndex1)) | v26(constB111) | v130(constB111, bitIndex1)),
% 49.15/32.29 inference(modus_ponens,[status(thm)],[16338, 16337])).
% 49.15/32.29 tff(16340,plain,
% 49.15/32.29 ((~v127(constB111, bitIndex1)) | v130(constB111, bitIndex1)),
% 49.15/32.29 inference(unit_resolution,[status(thm)],[16339, 450, 16234])).
% 49.15/32.29 tff(16341,plain,
% 49.15/32.29 (~v127(constB111, bitIndex1)),
% 49.15/32.29 inference(unit_resolution,[status(thm)],[16340, 16333])).
% 49.15/32.29 tff(16342,plain,
% 49.15/32.29 (((~![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)))),
% 49.15/32.29 inference(rewrite,[status(thm)],[])).
% 49.15/32.29 tff(16343,plain,
% 49.15/32.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB111, constB112)) | v127(constB111, bitIndex1) | (~v129(constB112, bitIndex1)))),
% 49.15/32.29 inference(quant_inst,[status(thm)],[])).
% 49.15/32.29 tff(16344,plain,
% 49.15/32.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB111, constB112)) | v127(constB111, bitIndex1) | (~v129(constB112, bitIndex1))),
% 49.15/32.29 inference(modus_ponens,[status(thm)],[16343, 16342])).
% 49.15/32.29 tff(16345,plain,
% 49.15/32.29 (v127(constB111, bitIndex1) | (~v129(constB112, bitIndex1))),
% 49.15/32.29 inference(unit_resolution,[status(thm)],[16344, 468, 16246])).
% 49.15/32.29 tff(16346,plain,
% 49.15/32.29 (~v129(constB112, bitIndex1)),
% 49.15/32.29 inference(unit_resolution,[status(thm)],[16345, 16341])).
% 49.24/32.29 tff(16347,plain,
% 49.24/32.29 (((~![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)))),
% 49.24/32.29 inference(rewrite,[status(thm)],[])).
% 49.24/32.29 tff(16348,plain,
% 49.24/32.29 (((~v90(constB112, bitIndex1)) | (~v100(constB112)) | v129(constB112, bitIndex1)) <=> ((~v90(constB112, bitIndex1)) | v129(constB112, bitIndex1) | (~v100(constB112)))),
% 49.24/32.29 inference(rewrite,[status(thm)],[])).
% 49.24/32.29 tff(16349,plain,
% 49.24/32.29 (((~![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))))),
% 49.24/32.29 inference(monotonicity,[status(thm)],[16348])).
% 49.24/32.29 tff(16350,plain,
% 49.24/32.29 (((~![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)))),
% 49.24/32.29 inference(transitivity,[status(thm)],[16349, 16347])).
% 49.24/32.29 tff(16351,plain,
% 49.24/32.29 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB112, bitIndex1)) | (~v100(constB112)) | v129(constB112, bitIndex1))),
% 49.24/32.29 inference(quant_inst,[status(thm)],[])).
% 49.24/32.29 tff(16352,plain,
% 49.24/32.29 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB112, bitIndex1)) | v129(constB112, bitIndex1) | (~v100(constB112))),
% 49.24/32.29 inference(modus_ponens,[status(thm)],[16351, 16350])).
% 49.24/32.29 tff(16353,plain,
% 49.24/32.29 ((~v90(constB112, bitIndex1)) | (~v100(constB112))),
% 49.24/32.29 inference(unit_resolution,[status(thm)],[16352, 483, 16346])).
% 49.24/32.29 tff(16354,plain,
% 49.24/32.29 (~v90(constB112, bitIndex1)),
% 49.24/32.29 inference(unit_resolution,[status(thm)],[16353, 16280])).
% 49.24/32.29 tff(16355,plain,
% 49.24/32.29 (((~![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)))),
% 49.24/32.29 inference(rewrite,[status(thm)],[])).
% 49.24/32.29 tff(16356,plain,
% 49.24/32.29 (((~nextState(constB112, constB113)) | v90(constB112, bitIndex1) | v100(constB113) | (~v90(constB113, bitIndex1))) <=> (v90(constB112, bitIndex1) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex1)))),
% 49.24/32.29 inference(rewrite,[status(thm)],[])).
% 49.24/32.29 tff(16357,plain,
% 49.24/32.29 (((~![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))))),
% 49.24/32.29 inference(monotonicity,[status(thm)],[16356])).
% 49.24/32.29 tff(16358,plain,
% 49.24/32.29 (((~![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)))),
% 49.24/32.29 inference(transitivity,[status(thm)],[16357, 16355])).
% 49.24/32.29 tff(16359,plain,
% 49.24/32.29 ((~![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)))),
% 49.24/32.29 inference(quant_inst,[status(thm)],[])).
% 49.24/32.29 tff(16360,plain,
% 49.24/32.29 ((~![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))),
% 49.24/32.29 inference(modus_ponens,[status(thm)],[16359, 16358])).
% 49.24/32.29 tff(16361,plain,
% 49.24/32.29 (v90(constB112, bitIndex1) | v100(constB113) | (~v90(constB113, bitIndex1))),
% 49.24/32.29 inference(unit_resolution,[status(thm)],[16360, 102, 16308])).
% 49.24/32.29 tff(16362,plain,
% 49.24/32.29 (v90(constB112, bitIndex1) | (~v90(constB113, bitIndex1))),
% 49.24/32.29 inference(unit_resolution,[status(thm)],[16361, 16320])).
% 49.24/32.29 tff(16363,plain,
% 49.24/32.29 (~v90(constB113, bitIndex1)),
% 49.24/32.29 inference(unit_resolution,[status(thm)],[16362, 16354])).
% 49.24/32.29 tff(16364,plain,
% 49.24/32.29 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB111)) | (~v130(constB111, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB111)) | (~v130(constB111, bitIndex0)))),
% 49.24/32.29 inference(rewrite,[status(thm)],[])).
% 49.24/32.29 tff(16365,plain,
% 49.24/32.29 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB111)) | (~v130(constB111, bitIndex0)))),
% 49.24/32.29 inference(quant_inst,[status(thm)],[])).
% 49.24/32.29 tff(16366,plain,
% 49.24/32.29 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB111)) | (~v130(constB111, bitIndex0))),
% 49.24/32.29 inference(modus_ponens,[status(thm)],[16365, 16364])).
% 49.24/32.29 tff(16367,plain,
% 49.24/32.29 (~v130(constB111, bitIndex0)),
% 49.24/32.29 inference(unit_resolution,[status(thm)],[16366, 1997, 16214])).
% 49.24/32.29 tff(16368,plain,
% 49.24/32.29 (((~![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))),
% 49.24/32.29 inference(rewrite,[status(thm)],[])).
% 49.24/32.29 tff(16369,plain,
% 49.24/32.29 ((v26(constB111) | v130(constB111, bitIndex0) | (~v127(constB111, bitIndex0))) <=> ((~v127(constB111, bitIndex0)) | v26(constB111) | v130(constB111, bitIndex0))),
% 49.24/32.29 inference(rewrite,[status(thm)],[])).
% 49.24/32.29 tff(16370,plain,
% 49.24/32.29 (((~![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)))),
% 49.24/32.29 inference(monotonicity,[status(thm)],[16369])).
% 49.24/32.29 tff(16371,plain,
% 49.24/32.29 (((~![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))),
% 49.24/32.29 inference(transitivity,[status(thm)],[16370, 16368])).
% 49.24/32.29 tff(16372,plain,
% 49.24/32.29 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB111) | v130(constB111, bitIndex0) | (~v127(constB111, bitIndex0)))),
% 49.24/32.29 inference(quant_inst,[status(thm)],[])).
% 49.24/32.29 tff(16373,plain,
% 49.24/32.29 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB111, bitIndex0)) | v26(constB111) | v130(constB111, bitIndex0)),
% 49.24/32.29 inference(modus_ponens,[status(thm)],[16372, 16371])).
% 49.24/32.29 tff(16374,plain,
% 49.24/32.29 ((~v127(constB111, bitIndex0)) | v130(constB111, bitIndex0)),
% 49.24/32.29 inference(unit_resolution,[status(thm)],[16373, 524, 16234])).
% 49.24/32.29 tff(16375,plain,
% 49.24/32.29 (~v127(constB111, bitIndex0)),
% 49.24/32.29 inference(unit_resolution,[status(thm)],[16374, 16367])).
% 49.24/32.29 tff(16376,plain,
% 49.24/32.29 (((~![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)))),
% 49.24/32.29 inference(rewrite,[status(thm)],[])).
% 49.24/32.29 tff(16377,plain,
% 49.24/32.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB111, constB112)) | v127(constB111, bitIndex0) | (~v129(constB112, bitIndex0)))),
% 49.24/32.29 inference(quant_inst,[status(thm)],[])).
% 49.24/32.29 tff(16378,plain,
% 49.24/32.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB111, constB112)) | v127(constB111, bitIndex0) | (~v129(constB112, bitIndex0))),
% 49.24/32.29 inference(modus_ponens,[status(thm)],[16377, 16376])).
% 49.24/32.29 tff(16379,plain,
% 49.24/32.29 (v127(constB111, bitIndex0) | (~v129(constB112, bitIndex0))),
% 49.24/32.29 inference(unit_resolution,[status(thm)],[16378, 542, 16246])).
% 49.24/32.29 tff(16380,plain,
% 49.24/32.29 (~v129(constB112, bitIndex0)),
% 49.24/32.29 inference(unit_resolution,[status(thm)],[16379, 16375])).
% 49.24/32.29 tff(16381,plain,
% 49.24/32.29 (((~![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)))),
% 49.24/32.29 inference(rewrite,[status(thm)],[])).
% 49.24/32.29 tff(16382,plain,
% 49.24/32.29 (((~v90(constB112, bitIndex0)) | (~v100(constB112)) | v129(constB112, bitIndex0)) <=> ((~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0) | (~v100(constB112)))),
% 49.24/32.29 inference(rewrite,[status(thm)],[])).
% 49.24/32.29 tff(16383,plain,
% 49.24/32.29 (((~![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))))),
% 49.24/32.29 inference(monotonicity,[status(thm)],[16382])).
% 49.24/32.29 tff(16384,plain,
% 49.24/32.29 (((~![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)))),
% 49.24/32.29 inference(transitivity,[status(thm)],[16383, 16381])).
% 49.24/32.29 tff(16385,plain,
% 49.24/32.29 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB112, bitIndex0)) | (~v100(constB112)) | v129(constB112, bitIndex0))),
% 49.24/32.29 inference(quant_inst,[status(thm)],[])).
% 49.24/32.29 tff(16386,plain,
% 49.24/32.29 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB112, bitIndex0)) | v129(constB112, bitIndex0) | (~v100(constB112))),
% 49.24/32.29 inference(modus_ponens,[status(thm)],[16385, 16384])).
% 49.24/32.29 tff(16387,plain,
% 49.24/32.29 ((~v90(constB112, bitIndex0)) | (~v100(constB112))),
% 49.24/32.29 inference(unit_resolution,[status(thm)],[16386, 557, 16380])).
% 49.24/32.29 tff(16388,plain,
% 49.24/32.29 (~v90(constB112, bitIndex0)),
% 49.24/32.29 inference(unit_resolution,[status(thm)],[16387, 16280])).
% 49.24/32.29 tff(16389,plain,
% 49.24/32.29 (((~![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)))),
% 49.24/32.29 inference(rewrite,[status(thm)],[])).
% 49.24/32.29 tff(16390,plain,
% 49.24/32.29 (((~nextState(constB112, constB113)) | v90(constB112, bitIndex0) | v100(constB113) | (~v90(constB113, bitIndex0))) <=> (v90(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, bitIndex0)))),
% 49.24/32.29 inference(rewrite,[status(thm)],[])).
% 49.24/32.29 tff(16391,plain,
% 49.24/32.29 (((~![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))))),
% 49.24/32.29 inference(monotonicity,[status(thm)],[16390])).
% 49.24/32.29 tff(16392,plain,
% 49.24/32.29 (((~![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)))),
% 49.24/32.29 inference(transitivity,[status(thm)],[16391, 16389])).
% 49.24/32.29 tff(16393,plain,
% 49.24/32.29 ((~![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)))),
% 49.24/32.29 inference(quant_inst,[status(thm)],[])).
% 49.24/32.29 tff(16394,plain,
% 49.24/32.29 ((~![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))),
% 49.24/32.29 inference(modus_ponens,[status(thm)],[16393, 16392])).
% 49.24/32.29 tff(16395,plain,
% 49.24/32.29 (v90(constB112, bitIndex0) | v100(constB113) | (~v90(constB113, bitIndex0))),
% 49.24/32.29 inference(unit_resolution,[status(thm)],[16394, 123, 16308])).
% 49.24/32.29 tff(16396,plain,
% 49.24/32.29 (v90(constB112, bitIndex0) | (~v90(constB113, bitIndex0))),
% 49.24/32.29 inference(unit_resolution,[status(thm)],[16395, 16320])).
% 49.24/32.29 tff(16397,plain,
% 49.24/32.29 (~v90(constB113, bitIndex0)),
% 49.24/32.29 inference(unit_resolution,[status(thm)],[16396, 16388])).
% 49.24/32.29 tff(16398,plain,
% 49.24/32.29 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB113, bitIndex0) | v90(constB113, bitIndex1) | (~v90(constB113, bitIndex2)) | v123(constB113))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB113, bitIndex0) | v90(constB113, bitIndex1) | (~v90(constB113, bitIndex2)) | v123(constB113))),
% 49.24/32.29 inference(rewrite,[status(thm)],[])).
% 49.24/32.29 tff(16399,plain,
% 49.24/32.29 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB113, bitIndex0) | v90(constB113, bitIndex1) | (~v90(constB113, bitIndex2)) | v123(constB113))),
% 49.24/32.29 inference(quant_inst,[status(thm)],[])).
% 49.24/32.29 tff(16400,plain,
% 49.24/32.29 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB113, bitIndex0) | v90(constB113, bitIndex1) | (~v90(constB113, bitIndex2)) | v123(constB113)),
% 49.24/32.29 inference(modus_ponens,[status(thm)],[16399, 16398])).
% 49.24/32.29 tff(16401,plain,
% 49.24/32.29 (v123(constB113)),
% 49.24/32.29 inference(unit_resolution,[status(thm)],[16400, 584, 16397, 16363, 16329])).
% 49.24/32.29 tff(16402,plain,
% 49.24/32.29 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB113) | (~v123(constB113)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB113) | (~v123(constB113)))),
% 49.24/32.29 inference(rewrite,[status(thm)],[])).
% 49.24/32.29 tff(16403,plain,
% 49.24/32.29 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB113) | (~v123(constB113)))),
% 49.24/32.29 inference(quant_inst,[status(thm)],[])).
% 49.24/32.29 tff(16404,plain,
% 49.24/32.29 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB113) | (~v123(constB113))),
% 49.24/32.29 inference(modus_ponens,[status(thm)],[16403, 16402])).
% 49.24/32.29 tff(16405,plain,
% 49.24/32.29 (v115(constB113)),
% 49.24/32.29 inference(unit_resolution,[status(thm)],[16404, 595, 16401])).
% 49.24/32.29 tff(16406,plain,
% 49.24/32.29 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB113) | (~v115(constB113)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB113) | (~v115(constB113)))),
% 49.24/32.29 inference(rewrite,[status(thm)],[])).
% 49.24/32.29 tff(16407,plain,
% 49.24/32.29 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB113) | (~v115(constB113)))),
% 49.24/32.29 inference(quant_inst,[status(thm)],[])).
% 49.24/32.29 tff(16408,plain,
% 49.24/32.29 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB113) | (~v115(constB113))),
% 49.24/32.29 inference(modus_ponens,[status(thm)],[16407, 16406])).
% 49.24/32.29 tff(16409,plain,
% 49.24/32.29 (v114(constB113)),
% 49.24/32.29 inference(unit_resolution,[status(thm)],[16408, 199, 16405])).
% 49.24/32.29 tff(16410,plain,
% 49.24/32.29 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB113) | (~v114(constB113)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB113) | (~v114(constB113)))),
% 49.24/32.29 inference(rewrite,[status(thm)],[])).
% 49.24/32.29 tff(16411,plain,
% 49.24/32.29 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB113) | (~v114(constB113)))),
% 49.24/32.29 inference(quant_inst,[status(thm)],[])).
% 49.24/32.29 tff(16412,plain,
% 49.24/32.29 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB113) | (~v114(constB113))),
% 49.24/32.29 inference(modus_ponens,[status(thm)],[16411, 16410])).
% 49.24/32.29 tff(16413,plain,
% 49.24/32.29 (v113(constB113)),
% 49.24/32.29 inference(unit_resolution,[status(thm)],[16412, 210, 16409])).
% 49.24/32.29 tff(16414,assumption,(~v108(constB113)), introduced(assumption)).
% 49.24/32.29 tff(16415,plain,
% 49.24/32.29 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB113) | (~v112(constB113)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB113) | (~v112(constB113)))),
% 49.24/32.29 inference(rewrite,[status(thm)],[])).
% 49.24/32.29 tff(16416,plain,
% 49.24/32.29 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB113) | (~v112(constB113)))),
% 49.24/32.29 inference(quant_inst,[status(thm)],[])).
% 49.24/32.29 tff(16417,plain,
% 49.24/32.29 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB113) | (~v112(constB113))),
% 49.24/32.29 inference(modus_ponens,[status(thm)],[16416, 16415])).
% 49.24/32.29 tff(16418,plain,
% 49.24/32.29 (~v112(constB113)),
% 49.24/32.29 inference(unit_resolution,[status(thm)],[16417, 236, 16414])).
% 49.24/32.29 tff(16419,plain,
% 49.24/32.29 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB113) | (~v26(constB113)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB113) | (~v26(constB113)))),
% 49.24/32.29 inference(rewrite,[status(thm)],[])).
% 49.24/32.29 tff(16420,plain,
% 49.24/32.29 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB113) | (~v26(constB113)))),
% 49.24/32.29 inference(quant_inst,[status(thm)],[])).
% 49.24/32.29 tff(16421,plain,
% 49.24/32.29 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB113) | (~v26(constB113))),
% 49.24/32.29 inference(modus_ponens,[status(thm)],[16420, 16419])).
% 49.24/32.29 tff(16422,plain,
% 49.24/32.29 (~v26(constB113)),
% 49.24/32.29 inference(unit_resolution,[status(thm)],[16421, 961, 16414])).
% 49.24/32.29 tff(16423,assumption,(v113(constB113)), introduced(assumption)).
% 49.24/32.29 tff(16424,plain,
% 49.24/32.29 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | v112(constB113) | (~v113(constB113)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB113) | v112(constB113) | (~v113(constB113)))),
% 49.24/32.29 inference(rewrite,[status(thm)],[])).
% 49.24/32.29 tff(16425,plain,
% 49.24/32.29 ((v26(constB113) | (~v113(constB113)) | v112(constB113)) <=> (v26(constB113) | v112(constB113) | (~v113(constB113)))),
% 49.24/32.29 inference(rewrite,[status(thm)],[])).
% 49.24/32.29 tff(16426,plain,
% 49.24/32.29 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | (~v113(constB113)) | v112(constB113))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | v112(constB113) | (~v113(constB113))))),
% 49.24/32.29 inference(monotonicity,[status(thm)],[16425])).
% 49.24/32.29 tff(16427,plain,
% 49.24/32.29 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | (~v113(constB113)) | v112(constB113))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB113) | v112(constB113) | (~v113(constB113)))),
% 49.24/32.29 inference(transitivity,[status(thm)],[16426, 16424])).
% 49.24/32.29 tff(16428,plain,
% 49.24/32.29 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | (~v113(constB113)) | v112(constB113))),
% 49.24/32.29 inference(quant_inst,[status(thm)],[])).
% 49.24/32.29 tff(16429,plain,
% 49.24/32.29 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB113) | v112(constB113) | (~v113(constB113))),
% 49.24/32.29 inference(modus_ponens,[status(thm)],[16428, 16427])).
% 49.24/32.29 tff(16430,plain,
% 49.24/32.29 (v26(constB113) | v112(constB113)),
% 49.24/32.29 inference(unit_resolution,[status(thm)],[16429, 224, 16423])).
% 49.24/32.29 tff(16431,plain,
% 49.24/32.29 ($false),
% 49.24/32.29 inference(unit_resolution,[status(thm)],[16430, 16422, 16418])).
% 49.24/32.29 tff(16432,plain,(v108(constB113) | (~v113(constB113))), inference(lemma,lemma(discharge,[]))).
% 49.24/32.29 tff(16433,plain,
% 49.24/32.29 (v108(constB113)),
% 49.24/32.29 inference(unit_resolution,[status(thm)],[16432, 16413])).
% 49.24/32.29 tff(16434,plain,
% 49.24/32.29 (nextState(constB113, constB114) <=> nextState(constB113, constB114)),
% 49.24/32.29 inference(rewrite,[status(thm)],[])).
% 49.24/32.29 tff(16435,axiom,(nextState(constB113, constB114)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_113_1')).
% 49.24/32.29 tff(16436,plain,
% 49.24/32.29 (nextState(constB113, constB114)),
% 49.24/32.29 inference(modus_ponens,[status(thm)],[16435, 16434])).
% 49.24/32.29 tff(16437,plain,
% 49.24/32.29 (((~![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)))),
% 49.24/32.29 inference(rewrite,[status(thm)],[])).
% 49.24/32.29 tff(16438,plain,
% 49.24/32.29 (((~nextState(constB113, constB114)) | (~v108(constB113)) | v110(constB114)) <=> ((~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113)))),
% 49.24/32.29 inference(rewrite,[status(thm)],[])).
% 49.24/32.29 tff(16439,plain,
% 49.24/32.29 (((~![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))))),
% 49.24/32.29 inference(monotonicity,[status(thm)],[16438])).
% 49.24/32.29 tff(16440,plain,
% 49.24/32.29 (((~![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)))),
% 49.24/32.29 inference(transitivity,[status(thm)],[16439, 16437])).
% 49.24/32.29 tff(16441,plain,
% 49.24/32.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB113, constB114)) | (~v108(constB113)) | v110(constB114))),
% 49.24/32.29 inference(quant_inst,[status(thm)],[])).
% 49.24/32.29 tff(16442,plain,
% 49.24/32.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113))),
% 49.24/32.29 inference(modus_ponens,[status(thm)],[16441, 16440])).
% 49.24/32.29 tff(16443,plain,
% 49.24/32.29 (v110(constB114) | (~v108(constB113))),
% 49.24/32.29 inference(unit_resolution,[status(thm)],[16442, 253, 16436])).
% 49.24/32.29 tff(16444,plain,
% 49.24/32.29 (v110(constB114)),
% 49.24/32.29 inference(unit_resolution,[status(thm)],[16443, 16433])).
% 49.24/32.29 tff(16445,plain,
% 49.24/32.29 (((~![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)))),
% 49.24/32.29 inference(rewrite,[status(thm)],[])).
% 49.24/32.29 tff(16446,plain,
% 49.24/32.29 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB113) | (~nextState(constB113, constB114)) | (~v104(constB114)))),
% 49.24/32.29 inference(quant_inst,[status(thm)],[])).
% 49.24/32.29 tff(16447,plain,
% 49.24/32.29 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB113) | (~nextState(constB113, constB114)) | (~v104(constB114))),
% 49.24/32.29 inference(modus_ponens,[status(thm)],[16446, 16445])).
% 49.24/32.29 tff(16448,plain,
% 49.24/32.29 (~v104(constB114)),
% 49.24/32.29 inference(unit_resolution,[status(thm)],[16447, 271, 16436, 16305])).
% 49.24/32.29 tff(16449,plain,
% 49.24/32.29 (((~![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))),
% 49.24/32.29 inference(rewrite,[status(thm)],[])).
% 49.24/32.29 tff(16450,plain,
% 49.24/32.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB113, constB114)) | v102(constB114) | v104(constB114))),
% 49.24/32.29 inference(quant_inst,[status(thm)],[])).
% 49.24/32.29 tff(16451,plain,
% 49.24/32.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB113, constB114)) | v102(constB114) | v104(constB114)),
% 49.24/32.29 inference(modus_ponens,[status(thm)],[16450, 16449])).
% 49.24/32.29 tff(16452,plain,
% 49.24/32.29 (v102(constB114) | v104(constB114)),
% 49.24/32.29 inference(unit_resolution,[status(thm)],[16451, 285, 16436])).
% 49.24/32.29 tff(16453,plain,
% 49.24/32.29 (v102(constB114)),
% 49.24/32.29 inference(unit_resolution,[status(thm)],[16452, 16448])).
% 49.24/32.29 tff(16454,plain,
% 49.24/32.29 (v1(constB114) <=> v1(constB114)),
% 49.24/32.29 inference(rewrite,[status(thm)],[])).
% 49.24/32.29 tff(16455,axiom,(v1(constB114)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_114_1')).
% 49.24/32.29 tff(16456,plain,
% 49.24/32.29 (v1(constB114)),
% 49.24/32.29 inference(modus_ponens,[status(thm)],[16455, 16454])).
% 49.24/32.29 tff(16457,plain,
% 49.24/32.29 (((~![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)))),
% 49.24/32.30 inference(rewrite,[status(thm)],[])).
% 49.24/32.30 tff(16458,plain,
% 49.24/32.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB113, constB114)) | v101(constB114) | (~v102(constB114)) | (~v1(constB114)))),
% 49.24/32.30 inference(quant_inst,[status(thm)],[])).
% 49.24/32.30 tff(16459,plain,
% 49.24/32.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB113, constB114)) | v101(constB114) | (~v102(constB114)) | (~v1(constB114))),
% 49.24/32.30 inference(modus_ponens,[status(thm)],[16458, 16457])).
% 49.24/32.30 tff(16460,plain,
% 49.24/32.30 (v101(constB114) | (~v102(constB114))),
% 49.24/32.30 inference(unit_resolution,[status(thm)],[16459, 303, 16436, 16456])).
% 49.24/32.30 tff(16461,plain,
% 49.24/32.30 (v101(constB114)),
% 49.24/32.30 inference(unit_resolution,[status(thm)],[16460, 16453])).
% 49.24/32.30 tff(16462,plain,
% 49.24/32.30 (((~![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)))),
% 49.24/32.30 inference(rewrite,[status(thm)],[])).
% 49.24/32.30 tff(16463,plain,
% 49.24/32.30 (((~nextState(constB113, constB114)) | (~v101(constB114)) | (~v110(constB114)) | v100(constB114)) <=> ((~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114)))),
% 49.24/32.30 inference(rewrite,[status(thm)],[])).
% 49.24/32.30 tff(16464,plain,
% 49.24/32.30 (((~![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))))),
% 49.24/32.30 inference(monotonicity,[status(thm)],[16463])).
% 49.24/32.30 tff(16465,plain,
% 49.24/32.30 (((~![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)))),
% 49.24/32.30 inference(transitivity,[status(thm)],[16464, 16462])).
% 49.24/32.30 tff(16466,plain,
% 49.24/32.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB113, constB114)) | (~v101(constB114)) | (~v110(constB114)) | v100(constB114))),
% 49.24/32.30 inference(quant_inst,[status(thm)],[])).
% 49.24/32.30 tff(16467,plain,
% 49.24/32.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114))),
% 49.24/32.30 inference(modus_ponens,[status(thm)],[16466, 16465])).
% 49.24/32.30 tff(16468,plain,
% 49.24/32.30 (v100(constB114) | (~v101(constB114)) | (~v110(constB114))),
% 49.24/32.30 inference(unit_resolution,[status(thm)],[16467, 318, 16436])).
% 49.24/32.30 tff(16469,plain,
% 49.24/32.30 (v100(constB114) | (~v110(constB114))),
% 49.24/32.30 inference(unit_resolution,[status(thm)],[16468, 16461])).
% 49.24/32.30 tff(16470,plain,
% 49.24/32.30 (v100(constB114)),
% 49.24/32.30 inference(unit_resolution,[status(thm)],[16469, 16444])).
% 49.24/32.30 tff(16471,plain,
% 49.24/32.30 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB113)) | v130(constB113, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB113)) | v130(constB113, bitIndex2))),
% 49.24/32.30 inference(rewrite,[status(thm)],[])).
% 49.24/32.30 tff(16472,plain,
% 49.24/32.30 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB113)) | v130(constB113, bitIndex2))),
% 49.24/32.30 inference(quant_inst,[status(thm)],[])).
% 49.24/32.30 tff(16473,plain,
% 49.24/32.30 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB113)) | v130(constB113, bitIndex2)),
% 49.24/32.30 inference(modus_ponens,[status(thm)],[16472, 16471])).
% 49.24/32.30 tff(16474,plain,
% 49.24/32.30 (v130(constB113, bitIndex2)),
% 49.24/32.30 inference(unit_resolution,[status(thm)],[16473, 836, 16401])).
% 49.24/32.30 tff(16475,assumption,(v26(constB113)), introduced(assumption)).
% 49.24/32.30 tff(16476,plain,
% 49.24/32.30 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB113))),
% 49.24/32.30 inference(quant_inst,[status(thm)],[])).
% 49.24/32.30 tff(16477,plain,
% 49.24/32.30 ($false),
% 49.24/32.30 inference(unit_resolution,[status(thm)],[16476, 16, 16475])).
% 49.24/32.30 tff(16478,plain,(~v26(constB113)), inference(lemma,lemma(discharge,[]))).
% 49.24/32.30 tff(16479,plain,
% 49.24/32.30 (((~![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))) | v26(constB113) | (~v130(constB113, bitIndex2)) | v127(constB113, bitIndex2))),
% 49.24/32.30 inference(rewrite,[status(thm)],[])).
% 49.24/32.30 tff(16480,plain,
% 49.24/32.30 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB113) | (~v130(constB113, bitIndex2)) | v127(constB113, bitIndex2))),
% 49.24/32.30 inference(quant_inst,[status(thm)],[])).
% 49.24/32.30 tff(16481,plain,
% 49.24/32.30 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB113) | (~v130(constB113, bitIndex2)) | v127(constB113, bitIndex2)),
% 49.24/32.30 inference(modus_ponens,[status(thm)],[16480, 16479])).
% 49.24/32.30 tff(16482,plain,
% 49.24/32.30 ((~v130(constB113, bitIndex2)) | v127(constB113, bitIndex2)),
% 49.24/32.30 inference(unit_resolution,[status(thm)],[16481, 351, 16478])).
% 49.24/32.30 tff(16483,plain,
% 49.24/32.30 (v127(constB113, bitIndex2)),
% 49.24/32.30 inference(unit_resolution,[status(thm)],[16482, 16474])).
% 49.24/32.30 tff(16484,plain,
% 49.24/32.30 (((~![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))),
% 49.24/32.30 inference(rewrite,[status(thm)],[])).
% 49.24/32.30 tff(16485,plain,
% 49.24/32.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB113, constB114)) | (~v127(constB113, bitIndex2)) | v129(constB114, bitIndex2))),
% 49.24/32.30 inference(quant_inst,[status(thm)],[])).
% 49.24/32.30 tff(16486,plain,
% 49.24/32.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB113, constB114)) | (~v127(constB113, bitIndex2)) | v129(constB114, bitIndex2)),
% 49.24/32.30 inference(modus_ponens,[status(thm)],[16485, 16484])).
% 49.24/32.30 tff(16487,plain,
% 49.24/32.30 ((~v127(constB113, bitIndex2)) | v129(constB114, bitIndex2)),
% 49.24/32.30 inference(unit_resolution,[status(thm)],[16486, 366, 16436])).
% 49.24/32.30 tff(16488,plain,
% 49.24/32.30 (v129(constB114, bitIndex2)),
% 49.24/32.30 inference(unit_resolution,[status(thm)],[16487, 16483])).
% 49.24/32.30 tff(16489,plain,
% 49.24/32.30 (((~![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)))),
% 49.24/32.30 inference(rewrite,[status(thm)],[])).
% 49.24/32.30 tff(16490,plain,
% 49.24/32.30 ((v90(constB114, bitIndex2) | (~v100(constB114)) | (~v129(constB114, bitIndex2))) <=> (v90(constB114, bitIndex2) | (~v129(constB114, bitIndex2)) | (~v100(constB114)))),
% 49.24/32.30 inference(rewrite,[status(thm)],[])).
% 49.24/32.30 tff(16491,plain,
% 49.24/32.30 (((~![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))))),
% 49.24/32.30 inference(monotonicity,[status(thm)],[16490])).
% 49.24/32.30 tff(16492,plain,
% 49.24/32.30 (((~![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)))),
% 49.24/32.30 inference(transitivity,[status(thm)],[16491, 16489])).
% 49.24/32.30 tff(16493,plain,
% 49.24/32.30 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB114, bitIndex2) | (~v100(constB114)) | (~v129(constB114, bitIndex2)))),
% 49.24/32.30 inference(quant_inst,[status(thm)],[])).
% 49.24/32.30 tff(16494,plain,
% 49.24/32.30 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB114, bitIndex2) | (~v129(constB114, bitIndex2)) | (~v100(constB114))),
% 49.24/32.30 inference(modus_ponens,[status(thm)],[16493, 16492])).
% 49.24/32.30 tff(16495,plain,
% 49.24/32.30 (v90(constB114, bitIndex2) | (~v100(constB114))),
% 49.24/32.30 inference(unit_resolution,[status(thm)],[16494, 381, 16488])).
% 49.24/32.30 tff(16496,plain,
% 49.24/32.30 (v90(constB114, bitIndex2)),
% 49.24/32.30 inference(unit_resolution,[status(thm)],[16495, 16470])).
% 49.24/32.30 tff(16497,plain,
% 49.24/32.30 ((~v1(constB115)) <=> (~v1(constB115))),
% 49.24/32.30 inference(rewrite,[status(thm)],[])).
% 49.24/32.30 tff(16498,axiom,(~v1(constB115)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_115_1_1')).
% 49.24/32.30 tff(16499,plain,
% 49.24/32.30 (~v1(constB115)),
% 49.24/32.30 inference(modus_ponens,[status(thm)],[16498, 16497])).
% 49.24/32.30 tff(16500,plain,
% 49.24/32.30 (nextState(constB114, constB115) <=> nextState(constB114, constB115)),
% 49.24/32.30 inference(rewrite,[status(thm)],[])).
% 49.24/32.30 tff(16501,axiom,(nextState(constB114, constB115)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_114_1')).
% 49.24/32.30 tff(16502,plain,
% 49.24/32.30 (nextState(constB114, constB115)),
% 49.24/32.30 inference(modus_ponens,[status(thm)],[16501, 16500])).
% 49.24/32.30 tff(16503,plain,
% 49.24/32.30 (((~![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)))),
% 49.24/32.30 inference(rewrite,[status(thm)],[])).
% 49.24/32.30 tff(16504,plain,
% 49.24/32.30 (((~nextState(constB114, constB115)) | (~v101(constB115)) | v1(constB115)) <=> (v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115)))),
% 49.24/32.30 inference(rewrite,[status(thm)],[])).
% 49.24/32.30 tff(16505,plain,
% 49.24/32.30 (((~![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))))),
% 49.24/32.30 inference(monotonicity,[status(thm)],[16504])).
% 49.24/32.30 tff(16506,plain,
% 49.24/32.30 (((~![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)))),
% 49.24/32.30 inference(transitivity,[status(thm)],[16505, 16503])).
% 49.24/32.30 tff(16507,plain,
% 49.24/32.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB114, constB115)) | (~v101(constB115)) | v1(constB115))),
% 49.24/32.30 inference(quant_inst,[status(thm)],[])).
% 49.24/32.30 tff(16508,plain,
% 49.24/32.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115))),
% 49.24/32.30 inference(modus_ponens,[status(thm)],[16507, 16506])).
% 49.24/32.30 tff(16509,plain,
% 49.24/32.30 (~v101(constB115)),
% 49.24/32.30 inference(unit_resolution,[status(thm)],[16508, 49, 16502, 16499])).
% 49.24/32.30 tff(16510,plain,
% 49.24/32.30 (((~![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)))),
% 49.24/32.30 inference(rewrite,[status(thm)],[])).
% 49.24/32.30 tff(16511,plain,
% 49.24/32.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB114, constB115)) | v101(constB115) | (~v100(constB115)))),
% 49.24/32.30 inference(quant_inst,[status(thm)],[])).
% 49.24/32.30 tff(16512,plain,
% 49.24/32.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB114, constB115)) | v101(constB115) | (~v100(constB115))),
% 49.24/32.30 inference(modus_ponens,[status(thm)],[16511, 16510])).
% 49.24/32.30 tff(16513,plain,
% 49.24/32.30 (v101(constB115) | (~v100(constB115))),
% 49.24/32.30 inference(unit_resolution,[status(thm)],[16512, 66, 16502])).
% 49.24/32.30 tff(16514,plain,
% 49.24/32.30 (~v100(constB115)),
% 49.24/32.30 inference(unit_resolution,[status(thm)],[16513, 16509])).
% 49.24/32.30 tff(16515,plain,
% 49.24/32.30 (((~![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))),
% 49.24/32.30 inference(rewrite,[status(thm)],[])).
% 49.24/32.30 tff(16516,plain,
% 49.24/32.30 (((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex2)) | v100(constB115) | v90(constB115, bitIndex2)) <=> ((~v90(constB114, bitIndex2)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex2))),
% 49.24/32.30 inference(rewrite,[status(thm)],[])).
% 49.24/32.30 tff(16517,plain,
% 49.24/32.30 (((~![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)))),
% 49.24/32.30 inference(monotonicity,[status(thm)],[16516])).
% 49.24/32.30 tff(16518,plain,
% 49.24/32.30 (((~![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))),
% 49.24/32.30 inference(transitivity,[status(thm)],[16517, 16515])).
% 49.24/32.30 tff(16519,plain,
% 49.24/32.30 ((~![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))),
% 49.24/32.30 inference(quant_inst,[status(thm)],[])).
% 49.24/32.30 tff(16520,plain,
% 49.24/32.30 ((~![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)),
% 49.24/32.30 inference(modus_ponens,[status(thm)],[16519, 16518])).
% 49.24/32.30 tff(16521,plain,
% 49.24/32.30 ((~v90(constB114, bitIndex2)) | v100(constB115) | v90(constB115, bitIndex2)),
% 49.24/32.30 inference(unit_resolution,[status(thm)],[16520, 417, 16502])).
% 49.24/32.30 tff(16522,plain,
% 49.24/32.30 ((~v90(constB114, bitIndex2)) | v90(constB115, bitIndex2)),
% 49.24/32.30 inference(unit_resolution,[status(thm)],[16521, 16514])).
% 49.24/32.30 tff(16523,plain,
% 49.24/32.30 (v90(constB115, bitIndex2)),
% 49.24/32.30 inference(unit_resolution,[status(thm)],[16522, 16496])).
% 49.24/32.30 tff(16524,plain,
% 49.24/32.30 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB113)) | v130(constB113, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB113)) | v130(constB113, bitIndex1))),
% 49.24/32.30 inference(rewrite,[status(thm)],[])).
% 49.24/32.30 tff(16525,plain,
% 49.24/32.30 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB113)) | v130(constB113, bitIndex1))),
% 49.24/32.30 inference(quant_inst,[status(thm)],[])).
% 49.24/32.30 tff(16526,plain,
% 49.24/32.30 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB113)) | v130(constB113, bitIndex1)),
% 49.24/32.30 inference(modus_ponens,[status(thm)],[16525, 16524])).
% 49.24/32.30 tff(16527,plain,
% 49.24/32.30 (v130(constB113, bitIndex1)),
% 49.24/32.30 inference(unit_resolution,[status(thm)],[16526, 667, 16401])).
% 49.24/32.30 tff(16528,plain,
% 49.24/32.30 (((~![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))),
% 49.24/32.30 inference(rewrite,[status(thm)],[])).
% 49.24/32.30 tff(16529,plain,
% 49.24/32.30 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB113) | (~v130(constB113, bitIndex1)) | v127(constB113, bitIndex1))),
% 49.24/32.30 inference(quant_inst,[status(thm)],[])).
% 49.24/32.30 tff(16530,plain,
% 49.24/32.30 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB113) | (~v130(constB113, bitIndex1)) | v127(constB113, bitIndex1)),
% 49.24/32.30 inference(modus_ponens,[status(thm)],[16529, 16528])).
% 49.24/32.30 tff(16531,plain,
% 49.24/32.30 ((~v130(constB113, bitIndex1)) | v127(constB113, bitIndex1)),
% 49.24/32.30 inference(unit_resolution,[status(thm)],[16530, 681, 16478])).
% 49.24/32.30 tff(16532,plain,
% 49.24/32.30 (v127(constB113, bitIndex1)),
% 49.24/32.30 inference(unit_resolution,[status(thm)],[16531, 16527])).
% 49.24/32.30 tff(16533,plain,
% 49.24/32.30 (((~![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))),
% 49.24/32.30 inference(rewrite,[status(thm)],[])).
% 49.24/32.30 tff(16534,plain,
% 49.24/32.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB113, constB114)) | (~v127(constB113, bitIndex1)) | v129(constB114, bitIndex1))),
% 49.24/32.30 inference(quant_inst,[status(thm)],[])).
% 49.24/32.30 tff(16535,plain,
% 49.24/32.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB113, constB114)) | (~v127(constB113, bitIndex1)) | v129(constB114, bitIndex1)),
% 49.24/32.30 inference(modus_ponens,[status(thm)],[16534, 16533])).
% 49.24/32.30 tff(16536,plain,
% 49.24/32.30 ((~v127(constB113, bitIndex1)) | v129(constB114, bitIndex1)),
% 49.24/32.30 inference(unit_resolution,[status(thm)],[16535, 696, 16436])).
% 49.24/32.30 tff(16537,plain,
% 49.24/32.30 (v129(constB114, bitIndex1)),
% 49.24/32.30 inference(unit_resolution,[status(thm)],[16536, 16532])).
% 49.24/32.30 tff(16538,plain,
% 49.24/32.30 (((~![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)))),
% 49.24/32.30 inference(rewrite,[status(thm)],[])).
% 49.24/32.30 tff(16539,plain,
% 49.24/32.30 ((v90(constB114, bitIndex1) | (~v100(constB114)) | (~v129(constB114, bitIndex1))) <=> (v90(constB114, bitIndex1) | (~v129(constB114, bitIndex1)) | (~v100(constB114)))),
% 49.24/32.30 inference(rewrite,[status(thm)],[])).
% 49.24/32.30 tff(16540,plain,
% 49.24/32.30 (((~![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))))),
% 49.24/32.30 inference(monotonicity,[status(thm)],[16539])).
% 49.24/32.30 tff(16541,plain,
% 49.24/32.30 (((~![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)))),
% 49.24/32.30 inference(transitivity,[status(thm)],[16540, 16538])).
% 49.24/32.30 tff(16542,plain,
% 49.24/32.30 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB114, bitIndex1) | (~v100(constB114)) | (~v129(constB114, bitIndex1)))),
% 49.24/32.30 inference(quant_inst,[status(thm)],[])).
% 49.24/32.30 tff(16543,plain,
% 49.24/32.30 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB114, bitIndex1) | (~v129(constB114, bitIndex1)) | (~v100(constB114))),
% 49.24/32.30 inference(modus_ponens,[status(thm)],[16542, 16541])).
% 49.24/32.30 tff(16544,plain,
% 49.24/32.30 (v90(constB114, bitIndex1) | (~v100(constB114))),
% 49.24/32.30 inference(unit_resolution,[status(thm)],[16543, 711, 16537])).
% 49.24/32.30 tff(16545,plain,
% 49.24/32.30 (v90(constB114, bitIndex1)),
% 49.24/32.30 inference(unit_resolution,[status(thm)],[16544, 16470])).
% 49.24/32.30 tff(16546,plain,
% 49.24/32.30 (((~![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))),
% 49.24/32.30 inference(rewrite,[status(thm)],[])).
% 49.24/32.30 tff(16547,plain,
% 49.24/32.30 (((~nextState(constB114, constB115)) | (~v90(constB114, bitIndex1)) | v100(constB115) | v90(constB115, bitIndex1)) <=> ((~v90(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, bitIndex1))),
% 49.24/32.30 inference(rewrite,[status(thm)],[])).
% 49.24/32.30 tff(16548,plain,
% 49.24/32.30 (((~![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)))),
% 49.24/32.30 inference(monotonicity,[status(thm)],[16547])).
% 49.24/32.30 tff(16549,plain,
% 49.24/32.30 (((~![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))),
% 49.24/32.30 inference(transitivity,[status(thm)],[16548, 16546])).
% 49.24/32.30 tff(16550,plain,
% 49.24/32.30 ((~![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))),
% 49.24/32.30 inference(quant_inst,[status(thm)],[])).
% 49.24/32.30 tff(16551,plain,
% 49.24/32.30 ((~![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)),
% 49.24/32.30 inference(modus_ponens,[status(thm)],[16550, 16549])).
% 49.24/32.30 tff(16552,plain,
% 49.24/32.30 ((~v90(constB114, bitIndex1)) | v100(constB115) | v90(constB115, bitIndex1)),
% 49.24/32.30 inference(unit_resolution,[status(thm)],[16551, 747, 16502])).
% 49.24/32.30 tff(16553,plain,
% 49.24/32.30 ((~v90(constB114, bitIndex1)) | v90(constB115, bitIndex1)),
% 49.24/32.30 inference(unit_resolution,[status(thm)],[16552, 16514])).
% 49.24/32.30 tff(16554,plain,
% 49.24/32.30 (v90(constB115, bitIndex1)),
% 49.24/32.30 inference(unit_resolution,[status(thm)],[16553, 16545])).
% 49.24/32.30 tff(16555,plain,
% 49.24/32.30 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB113)) | (~v130(constB113, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB113)) | (~v130(constB113, bitIndex0)))),
% 49.24/32.30 inference(rewrite,[status(thm)],[])).
% 49.24/32.30 tff(16556,plain,
% 49.24/32.30 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB113)) | (~v130(constB113, bitIndex0)))),
% 49.24/32.30 inference(quant_inst,[status(thm)],[])).
% 49.24/32.30 tff(16557,plain,
% 49.24/32.30 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB113)) | (~v130(constB113, bitIndex0))),
% 49.24/32.30 inference(modus_ponens,[status(thm)],[16556, 16555])).
% 49.24/32.30 tff(16558,plain,
% 49.24/32.30 (~v130(constB113, bitIndex0)),
% 49.24/32.30 inference(unit_resolution,[status(thm)],[16557, 975, 16401])).
% 49.24/32.30 tff(16559,plain,
% 49.24/32.30 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB113, bitIndex0)) | v26(constB113) | v130(constB113, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB113, bitIndex0)) | v26(constB113) | v130(constB113, bitIndex0))),
% 49.24/32.30 inference(rewrite,[status(thm)],[])).
% 49.24/32.30 tff(16560,plain,
% 49.24/32.30 ((v26(constB113) | v130(constB113, bitIndex0) | (~v127(constB113, bitIndex0))) <=> ((~v127(constB113, bitIndex0)) | v26(constB113) | v130(constB113, bitIndex0))),
% 49.24/32.30 inference(rewrite,[status(thm)],[])).
% 49.24/32.30 tff(16561,plain,
% 49.24/32.30 (((~![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)))) | ((~v127(constB113, bitIndex0)) | v26(constB113) | v130(constB113, bitIndex0)))),
% 49.24/32.30 inference(monotonicity,[status(thm)],[16560])).
% 49.24/32.30 tff(16562,plain,
% 49.24/32.30 (((~![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)))) | (~v127(constB113, bitIndex0)) | v26(constB113) | v130(constB113, bitIndex0))),
% 49.24/32.30 inference(transitivity,[status(thm)],[16561, 16559])).
% 49.24/32.30 tff(16563,plain,
% 49.24/32.30 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB113) | v130(constB113, bitIndex0) | (~v127(constB113, bitIndex0)))),
% 49.24/32.30 inference(quant_inst,[status(thm)],[])).
% 49.24/32.30 tff(16564,plain,
% 49.24/32.30 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB113, bitIndex0)) | v26(constB113) | v130(constB113, bitIndex0)),
% 49.24/32.30 inference(modus_ponens,[status(thm)],[16563, 16562])).
% 49.24/32.30 tff(16565,plain,
% 49.24/32.30 ((~v127(constB113, bitIndex0)) | v130(constB113, bitIndex0)),
% 49.24/32.30 inference(unit_resolution,[status(thm)],[16564, 524, 16478])).
% 49.24/32.30 tff(16566,plain,
% 49.24/32.30 (~v127(constB113, bitIndex0)),
% 49.24/32.30 inference(unit_resolution,[status(thm)],[16565, 16558])).
% 49.24/32.30 tff(16567,plain,
% 49.24/32.30 (((~![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)))),
% 49.24/32.30 inference(rewrite,[status(thm)],[])).
% 49.24/32.30 tff(16568,plain,
% 49.24/32.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB113, constB114)) | v127(constB113, bitIndex0) | (~v129(constB114, bitIndex0)))),
% 49.24/32.30 inference(quant_inst,[status(thm)],[])).
% 49.24/32.30 tff(16569,plain,
% 49.24/32.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB113, constB114)) | v127(constB113, bitIndex0) | (~v129(constB114, bitIndex0))),
% 49.24/32.30 inference(modus_ponens,[status(thm)],[16568, 16567])).
% 49.24/32.30 tff(16570,plain,
% 49.24/32.30 (v127(constB113, bitIndex0) | (~v129(constB114, bitIndex0))),
% 49.24/32.30 inference(unit_resolution,[status(thm)],[16569, 542, 16436])).
% 49.24/32.30 tff(16571,plain,
% 49.24/32.30 (~v129(constB114, bitIndex0)),
% 49.24/32.30 inference(unit_resolution,[status(thm)],[16570, 16566])).
% 49.24/32.30 tff(16572,plain,
% 49.24/32.30 (((~![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)))),
% 49.24/32.30 inference(rewrite,[status(thm)],[])).
% 49.24/32.30 tff(16573,plain,
% 49.24/32.30 (((~v90(constB114, bitIndex0)) | (~v100(constB114)) | v129(constB114, bitIndex0)) <=> ((~v90(constB114, bitIndex0)) | v129(constB114, bitIndex0) | (~v100(constB114)))),
% 49.24/32.30 inference(rewrite,[status(thm)],[])).
% 49.24/32.30 tff(16574,plain,
% 49.24/32.30 (((~![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))))),
% 49.24/32.30 inference(monotonicity,[status(thm)],[16573])).
% 49.24/32.30 tff(16575,plain,
% 49.24/32.30 (((~![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)))),
% 49.24/32.30 inference(transitivity,[status(thm)],[16574, 16572])).
% 49.24/32.30 tff(16576,plain,
% 49.24/32.30 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB114, bitIndex0)) | (~v100(constB114)) | v129(constB114, bitIndex0))),
% 49.24/32.30 inference(quant_inst,[status(thm)],[])).
% 49.24/32.30 tff(16577,plain,
% 49.24/32.30 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB114, bitIndex0)) | v129(constB114, bitIndex0) | (~v100(constB114))),
% 49.24/32.30 inference(modus_ponens,[status(thm)],[16576, 16575])).
% 49.24/32.30 tff(16578,plain,
% 49.24/32.30 ((~v90(constB114, bitIndex0)) | (~v100(constB114))),
% 49.24/32.30 inference(unit_resolution,[status(thm)],[16577, 557, 16571])).
% 49.24/32.30 tff(16579,plain,
% 49.24/32.30 (~v90(constB114, bitIndex0)),
% 49.24/32.30 inference(unit_resolution,[status(thm)],[16578, 16470])).
% 49.24/32.30 tff(16580,plain,
% 49.24/32.30 (((~![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)))),
% 49.24/32.31 inference(rewrite,[status(thm)],[])).
% 49.24/32.31 tff(16581,plain,
% 49.24/32.31 (((~nextState(constB114, constB115)) | v90(constB114, bitIndex0) | v100(constB115) | (~v90(constB115, bitIndex0))) <=> (v90(constB114, bitIndex0) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, bitIndex0)))),
% 49.24/32.31 inference(rewrite,[status(thm)],[])).
% 49.24/32.31 tff(16582,plain,
% 49.24/32.31 (((~![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))))),
% 49.24/32.31 inference(monotonicity,[status(thm)],[16581])).
% 49.24/32.31 tff(16583,plain,
% 49.24/32.31 (((~![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)))),
% 49.24/32.31 inference(transitivity,[status(thm)],[16582, 16580])).
% 49.24/32.31 tff(16584,plain,
% 49.24/32.31 ((~![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)))),
% 49.24/32.31 inference(quant_inst,[status(thm)],[])).
% 49.24/32.31 tff(16585,plain,
% 49.24/32.31 ((~![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))),
% 49.24/32.31 inference(modus_ponens,[status(thm)],[16584, 16583])).
% 49.24/32.31 tff(16586,plain,
% 49.24/32.31 (v90(constB114, bitIndex0) | v100(constB115) | (~v90(constB115, bitIndex0))),
% 49.24/32.31 inference(unit_resolution,[status(thm)],[16585, 123, 16502])).
% 49.24/32.31 tff(16587,plain,
% 49.24/32.31 (v90(constB114, bitIndex0) | (~v90(constB115, bitIndex0))),
% 49.24/32.31 inference(unit_resolution,[status(thm)],[16586, 16514])).
% 49.24/32.31 tff(16588,plain,
% 49.24/32.31 (~v90(constB115, bitIndex0)),
% 49.24/32.31 inference(unit_resolution,[status(thm)],[16587, 16579])).
% 49.24/32.31 tff(16589,plain,
% 49.24/32.31 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB115, bitIndex0) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex2)) | v125(constB115))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB115, bitIndex0) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex2)) | v125(constB115))),
% 49.24/32.31 inference(rewrite,[status(thm)],[])).
% 49.24/32.31 tff(16590,plain,
% 49.24/32.31 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB115, bitIndex0) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex2)) | v125(constB115))),
% 49.24/32.31 inference(quant_inst,[status(thm)],[])).
% 49.24/32.31 tff(16591,plain,
% 49.24/32.31 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB115, bitIndex0) | (~v90(constB115, bitIndex1)) | (~v90(constB115, bitIndex2)) | v125(constB115)),
% 49.24/32.31 inference(modus_ponens,[status(thm)],[16590, 16589])).
% 49.24/32.31 tff(16592,plain,
% 49.24/32.31 (v125(constB115)),
% 49.24/32.31 inference(unit_resolution,[status(thm)],[16591, 1019, 16588, 16554, 16523])).
% 49.24/32.31 tff(16593,plain,
% 49.24/32.31 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB115) | (~v125(constB115)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB115) | (~v125(constB115)))),
% 49.24/32.31 inference(rewrite,[status(thm)],[])).
% 49.24/32.31 tff(16594,plain,
% 49.24/32.31 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB115) | (~v125(constB115)))),
% 49.24/32.31 inference(quant_inst,[status(thm)],[])).
% 49.24/32.31 tff(16595,plain,
% 49.24/32.31 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB115) | (~v125(constB115))),
% 49.24/32.31 inference(modus_ponens,[status(thm)],[16594, 16593])).
% 49.24/32.31 tff(16596,plain,
% 49.24/32.31 (v113(constB115)),
% 49.24/32.31 inference(unit_resolution,[status(thm)],[16595, 1031, 16592])).
% 49.24/32.31 tff(16597,assumption,(v26(constB115)), introduced(assumption)).
% 49.24/32.31 tff(16598,plain,
% 49.24/32.31 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB115))),
% 49.24/32.31 inference(quant_inst,[status(thm)],[])).
% 49.24/32.31 tff(16599,plain,
% 49.24/32.31 ($false),
% 49.24/32.31 inference(unit_resolution,[status(thm)],[16598, 16, 16597])).
% 49.24/32.31 tff(16600,plain,(~v26(constB115)), inference(lemma,lemma(discharge,[]))).
% 49.24/32.31 tff(16601,plain,
% 49.24/32.31 (((~![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)))),
% 49.24/32.31 inference(rewrite,[status(thm)],[])).
% 49.24/32.31 tff(16602,plain,
% 49.24/32.31 ((v26(constB115) | (~v113(constB115)) | v112(constB115)) <=> (v26(constB115) | v112(constB115) | (~v113(constB115)))),
% 49.24/32.31 inference(rewrite,[status(thm)],[])).
% 49.24/32.31 tff(16603,plain,
% 49.24/32.31 (((~![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))))),
% 49.24/32.31 inference(monotonicity,[status(thm)],[16602])).
% 49.24/32.31 tff(16604,plain,
% 49.24/32.31 (((~![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)))),
% 49.24/32.31 inference(transitivity,[status(thm)],[16603, 16601])).
% 49.24/32.31 tff(16605,plain,
% 49.24/32.31 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB115) | (~v113(constB115)) | v112(constB115))),
% 49.24/32.31 inference(quant_inst,[status(thm)],[])).
% 49.24/32.31 tff(16606,plain,
% 49.24/32.31 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB115) | v112(constB115) | (~v113(constB115))),
% 49.24/32.31 inference(modus_ponens,[status(thm)],[16605, 16604])).
% 49.24/32.31 tff(16607,plain,
% 49.24/32.31 (v112(constB115) | (~v113(constB115))),
% 49.24/32.31 inference(unit_resolution,[status(thm)],[16606, 224, 16600])).
% 49.24/32.31 tff(16608,plain,
% 49.24/32.31 (v112(constB115)),
% 49.24/32.31 inference(unit_resolution,[status(thm)],[16607, 16596])).
% 49.24/32.31 tff(16609,plain,
% 49.24/32.31 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB115) | (~v112(constB115)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB115) | (~v112(constB115)))),
% 49.24/32.31 inference(rewrite,[status(thm)],[])).
% 49.24/32.31 tff(16610,plain,
% 49.24/32.31 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB115) | (~v112(constB115)))),
% 49.24/32.31 inference(quant_inst,[status(thm)],[])).
% 49.24/32.31 tff(16611,plain,
% 49.24/32.31 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB115) | (~v112(constB115))),
% 49.24/32.31 inference(modus_ponens,[status(thm)],[16610, 16609])).
% 49.24/32.31 tff(16612,plain,
% 49.24/32.31 (v108(constB115)),
% 49.24/32.31 inference(unit_resolution,[status(thm)],[16611, 236, 16608])).
% 49.24/32.31 tff(16613,plain,
% 49.24/32.31 (nextState(constB115, constB116) <=> nextState(constB115, constB116)),
% 49.24/32.31 inference(rewrite,[status(thm)],[])).
% 49.24/32.31 tff(16614,axiom,(nextState(constB115, constB116)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_115_1')).
% 49.24/32.31 tff(16615,plain,
% 49.24/32.31 (nextState(constB115, constB116)),
% 49.24/32.31 inference(modus_ponens,[status(thm)],[16614, 16613])).
% 49.24/32.31 tff(16616,plain,
% 49.24/32.31 (((~![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)))),
% 49.24/32.31 inference(rewrite,[status(thm)],[])).
% 49.24/32.31 tff(16617,plain,
% 49.24/32.31 (((~nextState(constB115, constB116)) | (~v108(constB115)) | v110(constB116)) <=> ((~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115)))),
% 49.24/32.31 inference(rewrite,[status(thm)],[])).
% 49.24/32.31 tff(16618,plain,
% 49.24/32.31 (((~![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))))),
% 49.24/32.31 inference(monotonicity,[status(thm)],[16617])).
% 49.24/32.31 tff(16619,plain,
% 49.24/32.31 (((~![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)))),
% 49.24/32.31 inference(transitivity,[status(thm)],[16618, 16616])).
% 49.24/32.31 tff(16620,plain,
% 49.24/32.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB115, constB116)) | (~v108(constB115)) | v110(constB116))),
% 49.24/32.31 inference(quant_inst,[status(thm)],[])).
% 49.24/32.31 tff(16621,plain,
% 49.24/32.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115))),
% 49.24/32.31 inference(modus_ponens,[status(thm)],[16620, 16619])).
% 49.24/32.31 tff(16622,plain,
% 49.24/32.31 (v110(constB116) | (~v108(constB115))),
% 49.24/32.31 inference(unit_resolution,[status(thm)],[16621, 253, 16615])).
% 49.24/32.31 tff(16623,plain,
% 49.24/32.31 (v110(constB116)),
% 49.24/32.31 inference(unit_resolution,[status(thm)],[16622, 16612])).
% 49.24/32.31 tff(16624,plain,
% 49.24/32.31 (((~![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)))),
% 49.24/32.31 inference(rewrite,[status(thm)],[])).
% 49.24/32.31 tff(16625,plain,
% 49.24/32.31 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB115) | (~nextState(constB115, constB116)) | (~v104(constB116)))),
% 49.24/32.31 inference(quant_inst,[status(thm)],[])).
% 49.24/32.31 tff(16626,plain,
% 49.24/32.31 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB115) | (~nextState(constB115, constB116)) | (~v104(constB116))),
% 49.24/32.31 inference(modus_ponens,[status(thm)],[16625, 16624])).
% 49.24/32.31 tff(16627,plain,
% 49.24/32.31 (~v104(constB116)),
% 49.24/32.31 inference(unit_resolution,[status(thm)],[16626, 271, 16615, 16499])).
% 49.24/32.31 tff(16628,plain,
% 49.24/32.31 (((~![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))),
% 49.24/32.31 inference(rewrite,[status(thm)],[])).
% 49.24/32.31 tff(16629,plain,
% 49.24/32.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB115, constB116)) | v102(constB116) | v104(constB116))),
% 49.24/32.31 inference(quant_inst,[status(thm)],[])).
% 49.24/32.31 tff(16630,plain,
% 49.24/32.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB115, constB116)) | v102(constB116) | v104(constB116)),
% 49.24/32.31 inference(modus_ponens,[status(thm)],[16629, 16628])).
% 49.24/32.31 tff(16631,plain,
% 49.24/32.31 (v102(constB116) | v104(constB116)),
% 49.24/32.31 inference(unit_resolution,[status(thm)],[16630, 285, 16615])).
% 49.24/32.31 tff(16632,plain,
% 49.24/32.31 (v102(constB116)),
% 49.24/32.31 inference(unit_resolution,[status(thm)],[16631, 16627])).
% 49.24/32.31 tff(16633,plain,
% 49.24/32.31 (v1(constB116) <=> v1(constB116)),
% 49.24/32.31 inference(rewrite,[status(thm)],[])).
% 49.24/32.31 tff(16634,axiom,(v1(constB116)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_116_1')).
% 49.24/32.31 tff(16635,plain,
% 49.24/32.31 (v1(constB116)),
% 49.24/32.31 inference(modus_ponens,[status(thm)],[16634, 16633])).
% 49.24/32.31 tff(16636,plain,
% 49.24/32.31 (((~![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)))),
% 49.24/32.31 inference(rewrite,[status(thm)],[])).
% 49.24/32.31 tff(16637,plain,
% 49.24/32.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB115, constB116)) | v101(constB116) | (~v102(constB116)) | (~v1(constB116)))),
% 49.24/32.31 inference(quant_inst,[status(thm)],[])).
% 49.24/32.31 tff(16638,plain,
% 49.24/32.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB115, constB116)) | v101(constB116) | (~v102(constB116)) | (~v1(constB116))),
% 49.24/32.31 inference(modus_ponens,[status(thm)],[16637, 16636])).
% 49.24/32.31 tff(16639,plain,
% 49.24/32.31 (v101(constB116) | (~v102(constB116))),
% 49.24/32.31 inference(unit_resolution,[status(thm)],[16638, 303, 16615, 16635])).
% 49.24/32.31 tff(16640,plain,
% 49.24/32.31 (v101(constB116)),
% 49.24/32.31 inference(unit_resolution,[status(thm)],[16639, 16632])).
% 49.24/32.31 tff(16641,plain,
% 49.24/32.31 (((~![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)))),
% 49.24/32.31 inference(rewrite,[status(thm)],[])).
% 49.24/32.31 tff(16642,plain,
% 49.24/32.31 (((~nextState(constB115, constB116)) | (~v101(constB116)) | (~v110(constB116)) | v100(constB116)) <=> ((~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116)))),
% 49.24/32.31 inference(rewrite,[status(thm)],[])).
% 49.24/32.31 tff(16643,plain,
% 49.24/32.31 (((~![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))))),
% 49.24/32.31 inference(monotonicity,[status(thm)],[16642])).
% 49.24/32.31 tff(16644,plain,
% 49.24/32.31 (((~![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)))),
% 49.24/32.31 inference(transitivity,[status(thm)],[16643, 16641])).
% 49.24/32.31 tff(16645,plain,
% 49.24/32.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB115, constB116)) | (~v101(constB116)) | (~v110(constB116)) | v100(constB116))),
% 49.24/32.31 inference(quant_inst,[status(thm)],[])).
% 49.24/32.31 tff(16646,plain,
% 49.24/32.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116))),
% 49.24/32.31 inference(modus_ponens,[status(thm)],[16645, 16644])).
% 49.24/32.31 tff(16647,plain,
% 49.24/32.31 (v100(constB116) | (~v101(constB116)) | (~v110(constB116))),
% 49.24/32.31 inference(unit_resolution,[status(thm)],[16646, 318, 16615])).
% 49.24/32.31 tff(16648,plain,
% 49.24/32.31 (v100(constB116) | (~v110(constB116))),
% 49.24/32.31 inference(unit_resolution,[status(thm)],[16647, 16640])).
% 49.24/32.31 tff(16649,plain,
% 49.24/32.31 (v100(constB116)),
% 49.24/32.31 inference(unit_resolution,[status(thm)],[16648, 16623])).
% 49.24/32.31 tff(16650,plain,
% 49.24/32.31 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB115, bitIndex2)) | (~v121(constB115)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB115, bitIndex2)) | (~v121(constB115)))),
% 49.24/32.31 inference(rewrite,[status(thm)],[])).
% 49.24/32.31 tff(16651,plain,
% 49.24/32.31 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB115, bitIndex2)) | (~v121(constB115)))),
% 49.24/32.31 inference(quant_inst,[status(thm)],[])).
% 49.24/32.31 tff(16652,plain,
% 49.24/32.31 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB115, bitIndex2)) | (~v121(constB115))),
% 49.24/32.31 inference(modus_ponens,[status(thm)],[16651, 16650])).
% 49.24/32.31 tff(16653,plain,
% 49.24/32.31 (~v121(constB115)),
% 49.24/32.31 inference(unit_resolution,[status(thm)],[16652, 883, 16523])).
% 49.24/32.31 tff(16654,plain,
% 49.24/32.31 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB115, bitIndex1)) | (~v123(constB115)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB115, bitIndex1)) | (~v123(constB115)))),
% 49.24/32.31 inference(rewrite,[status(thm)],[])).
% 49.24/32.31 tff(16655,plain,
% 49.24/32.31 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB115, bitIndex1)) | (~v123(constB115)))),
% 49.24/32.31 inference(quant_inst,[status(thm)],[])).
% 49.24/32.31 tff(16656,plain,
% 49.24/32.31 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB115, bitIndex1)) | (~v123(constB115))),
% 49.24/32.31 inference(modus_ponens,[status(thm)],[16655, 16654])).
% 49.24/32.31 tff(16657,plain,
% 49.24/32.31 (~v123(constB115)),
% 49.24/32.31 inference(unit_resolution,[status(thm)],[16656, 774, 16554])).
% 49.24/32.31 tff(16658,assumption,(~v123(constB115)), introduced(assumption)).
% 49.24/32.31 tff(16659,assumption,(v130(constB115, bitIndex2)), introduced(assumption)).
% 49.24/32.31 tff(16660,plain,
% 49.24/32.31 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB115)) | (~v130(constB115, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB115)) | (~v130(constB115, bitIndex2)))),
% 49.24/32.31 inference(rewrite,[status(thm)],[])).
% 49.24/32.31 tff(16661,plain,
% 49.24/32.31 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB115)) | (~v130(constB115, bitIndex2)))),
% 49.24/32.31 inference(quant_inst,[status(thm)],[])).
% 49.24/32.31 tff(16662,plain,
% 49.24/32.31 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB115)) | (~v130(constB115, bitIndex2))),
% 49.24/32.31 inference(modus_ponens,[status(thm)],[16661, 16660])).
% 49.24/32.31 tff(16663,plain,
% 49.24/32.31 (~v120(constB115)),
% 49.24/32.31 inference(unit_resolution,[status(thm)],[16662, 1383, 16659])).
% 49.24/32.31 tff(16664,plain,
% 49.24/32.31 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB115)) | (~v130(constB115, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB115)) | (~v130(constB115, bitIndex2)))),
% 49.24/32.31 inference(rewrite,[status(thm)],[])).
% 49.24/32.31 tff(16665,plain,
% 49.24/32.31 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB115)) | (~v130(constB115, bitIndex2)))),
% 49.24/32.31 inference(quant_inst,[status(thm)],[])).
% 49.24/32.31 tff(16666,plain,
% 49.24/32.31 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB115)) | (~v130(constB115, bitIndex2))),
% 49.24/32.31 inference(modus_ponens,[status(thm)],[16665, 16664])).
% 49.24/32.31 tff(16667,plain,
% 49.24/32.31 (~v124(constB115)),
% 49.24/32.31 inference(unit_resolution,[status(thm)],[16666, 2853, 16659])).
% 49.24/32.31 tff(16668,assumption,(v123(constB113)), introduced(assumption)).
% 49.24/32.31 tff(16669,plain,
% 49.24/32.31 (v115(constB113)),
% 49.24/32.31 inference(unit_resolution,[status(thm)],[16404, 595, 16668])).
% 49.24/32.31 tff(16670,plain,
% 49.24/32.31 (v114(constB113)),
% 49.24/32.31 inference(unit_resolution,[status(thm)],[16408, 199, 16669])).
% 49.24/32.31 tff(16671,plain,
% 49.24/32.31 (v113(constB113)),
% 49.24/32.31 inference(unit_resolution,[status(thm)],[16412, 210, 16670])).
% 49.24/32.31 tff(16672,plain,
% 49.24/32.31 (v108(constB113)),
% 49.24/32.31 inference(unit_resolution,[status(thm)],[16432, 16671])).
% 49.24/32.31 tff(16673,plain,
% 49.24/32.31 (v110(constB114)),
% 49.24/32.31 inference(unit_resolution,[status(thm)],[16443, 16672])).
% 49.24/32.31 tff(16674,plain,
% 49.24/32.31 (v100(constB114)),
% 49.24/32.31 inference(unit_resolution,[status(thm)],[16469, 16673])).
% 49.24/32.31 tff(16675,plain,
% 49.24/32.31 (v130(constB113, bitIndex1)),
% 49.24/32.31 inference(unit_resolution,[status(thm)],[16526, 667, 16668])).
% 49.24/32.31 tff(16676,plain,
% 49.24/32.31 (v127(constB113, bitIndex1)),
% 49.24/32.31 inference(unit_resolution,[status(thm)],[16531, 16675])).
% 49.24/32.31 tff(16677,plain,
% 49.24/32.31 (v129(constB114, bitIndex1)),
% 49.24/32.31 inference(unit_resolution,[status(thm)],[16536, 16676])).
% 49.24/32.31 tff(16678,plain,
% 49.24/32.31 (v90(constB114, bitIndex1) | (~v100(constB114))),
% 49.24/32.31 inference(unit_resolution,[status(thm)],[16543, 711, 16677])).
% 49.24/32.31 tff(16679,plain,
% 49.24/32.31 (v90(constB114, bitIndex1)),
% 49.24/32.31 inference(unit_resolution,[status(thm)],[16678, 16674])).
% 49.24/32.31 tff(16680,plain,
% 49.24/32.31 (v90(constB115, bitIndex1)),
% 49.24/32.31 inference(unit_resolution,[status(thm)],[16553, 16679])).
% 49.24/32.31 tff(16681,plain,
% 49.24/32.31 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB115)) | (~v90(constB115, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB115)) | (~v90(constB115, bitIndex1)))),
% 49.24/32.31 inference(rewrite,[status(thm)],[])).
% 49.24/32.31 tff(16682,plain,
% 49.24/32.31 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB115)) | (~v90(constB115, bitIndex1)))),
% 49.24/32.31 inference(quant_inst,[status(thm)],[])).
% 49.24/32.31 tff(16683,plain,
% 49.24/32.31 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB115)) | (~v90(constB115, bitIndex1))),
% 49.24/32.31 inference(modus_ponens,[status(thm)],[16682, 16681])).
% 49.24/32.31 tff(16684,plain,
% 49.24/32.31 (~v119(constB115)),
% 49.24/32.31 inference(unit_resolution,[status(thm)],[16683, 2293, 16680])).
% 49.24/32.31 tff(16685,plain,
% 49.24/32.31 (v130(constB113, bitIndex2)),
% 49.24/32.31 inference(unit_resolution,[status(thm)],[16473, 836, 16668])).
% 49.24/32.31 tff(16686,plain,
% 49.24/32.31 (v127(constB113, bitIndex2)),
% 49.24/32.31 inference(unit_resolution,[status(thm)],[16482, 16685])).
% 49.24/32.31 tff(16687,plain,
% 49.24/32.31 (v129(constB114, bitIndex2)),
% 49.24/32.31 inference(unit_resolution,[status(thm)],[16487, 16686])).
% 49.24/32.31 tff(16688,plain,
% 49.24/32.31 (v90(constB114, bitIndex2) | (~v100(constB114))),
% 49.24/32.31 inference(unit_resolution,[status(thm)],[16494, 381, 16687])).
% 49.24/32.31 tff(16689,plain,
% 49.24/32.31 (v90(constB114, bitIndex2)),
% 49.24/32.31 inference(unit_resolution,[status(thm)],[16688, 16674])).
% 49.24/32.31 tff(16690,plain,
% 49.24/32.31 (v90(constB115, bitIndex2)),
% 49.24/32.31 inference(unit_resolution,[status(thm)],[16522, 16689])).
% 49.24/32.31 tff(16691,plain,
% 49.24/32.31 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB115, bitIndex2)) | (~v122(constB115)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB115, bitIndex2)) | (~v122(constB115)))),
% 49.24/32.31 inference(rewrite,[status(thm)],[])).
% 49.24/32.31 tff(16692,plain,
% 49.24/32.31 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB115, bitIndex2)) | (~v122(constB115)))),
% 49.24/32.31 inference(quant_inst,[status(thm)],[])).
% 49.24/32.31 tff(16693,plain,
% 49.24/32.31 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB115, bitIndex2)) | (~v122(constB115))),
% 49.24/32.31 inference(modus_ponens,[status(thm)],[16692, 16691])).
% 49.24/32.31 tff(16694,plain,
% 49.24/32.31 (~v122(constB115)),
% 49.24/32.31 inference(unit_resolution,[status(thm)],[16693, 894, 16690])).
% 49.24/32.31 tff(16695,assumption,(~v121(constB115)), introduced(assumption)).
% 49.24/32.31 tff(16696,plain,
% 49.24/32.31 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB115, bitIndex2)) | v124(constB115) | v122(constB115) | v120(constB115) | v119(constB115) | v121(constB115) | v123(constB115))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB115, bitIndex2)) | v124(constB115) | v122(constB115) | v120(constB115) | v119(constB115) | v121(constB115) | v123(constB115))),
% 49.24/32.31 inference(rewrite,[status(thm)],[])).
% 49.24/32.31 tff(16697,plain,
% 49.24/32.31 ((v120(constB115) | v119(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | (~v130(constB115, bitIndex2))) <=> ((~v130(constB115, bitIndex2)) | v124(constB115) | v122(constB115) | v120(constB115) | v119(constB115) | v121(constB115) | v123(constB115))),
% 49.24/32.31 inference(rewrite,[status(thm)],[])).
% 49.24/32.31 tff(16698,plain,
% 49.24/32.31 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB115) | v119(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | (~v130(constB115, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB115, bitIndex2)) | v124(constB115) | v122(constB115) | v120(constB115) | v119(constB115) | v121(constB115) | v123(constB115)))),
% 49.24/32.31 inference(monotonicity,[status(thm)],[16697])).
% 49.24/32.31 tff(16699,plain,
% 49.24/32.31 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB115) | v119(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | (~v130(constB115, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB115, bitIndex2)) | v124(constB115) | v122(constB115) | v120(constB115) | v119(constB115) | v121(constB115) | v123(constB115))),
% 49.24/32.31 inference(transitivity,[status(thm)],[16698, 16696])).
% 49.24/32.31 tff(16700,plain,
% 49.24/32.31 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB115) | v119(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | (~v130(constB115, bitIndex2)))),
% 49.24/32.31 inference(quant_inst,[status(thm)],[])).
% 49.24/32.31 tff(16701,plain,
% 49.24/32.31 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB115, bitIndex2)) | v124(constB115) | v122(constB115) | v120(constB115) | v119(constB115) | v121(constB115) | v123(constB115)),
% 49.24/32.31 inference(modus_ponens,[status(thm)],[16700, 16699])).
% 49.24/32.31 tff(16702,plain,
% 49.24/32.31 (v124(constB115) | v122(constB115) | v120(constB115) | v119(constB115) | v123(constB115)),
% 49.24/32.31 inference(unit_resolution,[status(thm)],[16701, 1192, 16659, 16695])).
% 49.24/32.31 tff(16703,plain,
% 49.24/32.31 ($false),
% 49.24/32.31 inference(unit_resolution,[status(thm)],[16702, 16694, 16684, 16667, 16663, 16658])).
% 49.24/32.31 tff(16704,plain,((~v123(constB113)) | v123(constB115) | (~v130(constB115, bitIndex2)) | v121(constB115)), inference(lemma,lemma(discharge,[]))).
% 49.24/32.31 tff(16705,plain,
% 49.24/32.31 (~v130(constB115, bitIndex2)),
% 49.24/32.31 inference(unit_resolution,[status(thm)],[16704, 16657, 16401, 16653])).
% 49.24/32.31 tff(16706,plain,
% 49.24/32.31 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB115, bitIndex2)) | v26(constB115) | v130(constB115, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB115, bitIndex2)) | v26(constB115) | v130(constB115, bitIndex2))),
% 49.24/32.31 inference(rewrite,[status(thm)],[])).
% 49.24/32.31 tff(16707,plain,
% 49.24/32.31 ((v26(constB115) | v130(constB115, bitIndex2) | (~v127(constB115, bitIndex2))) <=> ((~v127(constB115, bitIndex2)) | v26(constB115) | v130(constB115, bitIndex2))),
% 49.24/32.31 inference(rewrite,[status(thm)],[])).
% 49.24/32.31 tff(16708,plain,
% 49.24/32.31 (((~![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)))) | ((~v127(constB115, bitIndex2)) | v26(constB115) | v130(constB115, bitIndex2)))),
% 49.24/32.31 inference(monotonicity,[status(thm)],[16707])).
% 49.24/32.31 tff(16709,plain,
% 49.24/32.31 (((~![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)))) | (~v127(constB115, bitIndex2)) | v26(constB115) | v130(constB115, bitIndex2))),
% 49.24/32.31 inference(transitivity,[status(thm)],[16708, 16706])).
% 49.24/32.31 tff(16710,plain,
% 49.24/32.31 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB115) | v130(constB115, bitIndex2) | (~v127(constB115, bitIndex2)))),
% 49.24/32.31 inference(quant_inst,[status(thm)],[])).
% 49.24/32.31 tff(16711,plain,
% 49.24/32.31 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB115, bitIndex2)) | v26(constB115) | v130(constB115, bitIndex2)),
% 49.24/32.31 inference(modus_ponens,[status(thm)],[16710, 16709])).
% 49.24/32.31 tff(16712,plain,
% 49.24/32.31 ((~v127(constB115, bitIndex2)) | v130(constB115, bitIndex2)),
% 49.24/32.31 inference(unit_resolution,[status(thm)],[16711, 1210, 16600])).
% 49.24/32.31 tff(16713,plain,
% 49.24/32.31 (~v127(constB115, bitIndex2)),
% 49.24/32.31 inference(unit_resolution,[status(thm)],[16712, 16705])).
% 49.24/32.31 tff(16714,plain,
% 49.24/32.31 (((~![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)))),
% 49.24/32.31 inference(rewrite,[status(thm)],[])).
% 49.24/32.31 tff(16715,plain,
% 49.24/32.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB115, constB116)) | v127(constB115, bitIndex2) | (~v129(constB116, bitIndex2)))),
% 49.24/32.31 inference(quant_inst,[status(thm)],[])).
% 49.24/32.31 tff(16716,plain,
% 49.24/32.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB115, constB116)) | v127(constB115, bitIndex2) | (~v129(constB116, bitIndex2))),
% 49.24/32.31 inference(modus_ponens,[status(thm)],[16715, 16714])).
% 49.24/32.31 tff(16717,plain,
% 49.24/32.31 (v127(constB115, bitIndex2) | (~v129(constB116, bitIndex2))),
% 49.24/32.31 inference(unit_resolution,[status(thm)],[16716, 1243, 16615])).
% 49.24/32.31 tff(16718,plain,
% 49.24/32.31 (~v129(constB116, bitIndex2)),
% 49.24/32.31 inference(unit_resolution,[status(thm)],[16717, 16713])).
% 49.24/32.31 tff(16719,plain,
% 49.24/32.31 (((~![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)))),
% 49.24/32.31 inference(rewrite,[status(thm)],[])).
% 49.24/32.31 tff(16720,plain,
% 49.24/32.31 (((~v90(constB116, bitIndex2)) | (~v100(constB116)) | v129(constB116, bitIndex2)) <=> ((~v90(constB116, bitIndex2)) | v129(constB116, bitIndex2) | (~v100(constB116)))),
% 49.24/32.31 inference(rewrite,[status(thm)],[])).
% 49.24/32.31 tff(16721,plain,
% 49.24/32.31 (((~![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))))),
% 49.24/32.31 inference(monotonicity,[status(thm)],[16720])).
% 49.24/32.31 tff(16722,plain,
% 49.24/32.31 (((~![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)))),
% 49.24/32.31 inference(transitivity,[status(thm)],[16721, 16719])).
% 49.24/32.31 tff(16723,plain,
% 49.24/32.31 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB116, bitIndex2)) | (~v100(constB116)) | v129(constB116, bitIndex2))),
% 49.24/32.31 inference(quant_inst,[status(thm)],[])).
% 49.24/32.31 tff(16724,plain,
% 49.24/32.31 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB116, bitIndex2)) | v129(constB116, bitIndex2) | (~v100(constB116))),
% 49.24/32.31 inference(modus_ponens,[status(thm)],[16723, 16722])).
% 49.24/32.31 tff(16725,plain,
% 49.24/32.31 ((~v90(constB116, bitIndex2)) | (~v100(constB116))),
% 49.24/32.31 inference(unit_resolution,[status(thm)],[16724, 1258, 16718])).
% 49.24/32.31 tff(16726,plain,
% 49.24/32.31 (~v90(constB116, bitIndex2)),
% 49.24/32.31 inference(unit_resolution,[status(thm)],[16725, 16649])).
% 49.24/32.31 tff(16727,plain,
% 49.24/32.31 ((~v1(constB117)) <=> (~v1(constB117))),
% 49.24/32.31 inference(rewrite,[status(thm)],[])).
% 49.24/32.31 tff(16728,axiom,(~v1(constB117)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_117_1_1')).
% 49.24/32.31 tff(16729,plain,
% 49.24/32.31 (~v1(constB117)),
% 49.24/32.31 inference(modus_ponens,[status(thm)],[16728, 16727])).
% 49.24/32.31 tff(16730,plain,
% 49.24/32.31 (nextState(constB116, constB117) <=> nextState(constB116, constB117)),
% 49.24/32.31 inference(rewrite,[status(thm)],[])).
% 49.24/32.31 tff(16731,axiom,(nextState(constB116, constB117)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_116_1')).
% 49.24/32.31 tff(16732,plain,
% 49.24/32.31 (nextState(constB116, constB117)),
% 49.24/32.31 inference(modus_ponens,[status(thm)],[16731, 16730])).
% 49.24/32.31 tff(16733,plain,
% 49.24/32.31 (((~![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)))),
% 49.24/32.31 inference(rewrite,[status(thm)],[])).
% 49.24/32.31 tff(16734,plain,
% 49.24/32.31 (((~nextState(constB116, constB117)) | (~v101(constB117)) | v1(constB117)) <=> (v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117)))),
% 49.24/32.31 inference(rewrite,[status(thm)],[])).
% 49.24/32.31 tff(16735,plain,
% 49.24/32.31 (((~![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))))),
% 49.24/32.31 inference(monotonicity,[status(thm)],[16734])).
% 49.24/32.31 tff(16736,plain,
% 49.24/32.31 (((~![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)))),
% 49.24/32.31 inference(transitivity,[status(thm)],[16735, 16733])).
% 49.24/32.31 tff(16737,plain,
% 49.24/32.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB116, constB117)) | (~v101(constB117)) | v1(constB117))),
% 49.24/32.31 inference(quant_inst,[status(thm)],[])).
% 49.24/32.31 tff(16738,plain,
% 49.24/32.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117))),
% 49.24/32.31 inference(modus_ponens,[status(thm)],[16737, 16736])).
% 49.24/32.31 tff(16739,plain,
% 49.24/32.31 (~v101(constB117)),
% 49.24/32.31 inference(unit_resolution,[status(thm)],[16738, 49, 16732, 16729])).
% 49.24/32.31 tff(16740,plain,
% 49.24/32.32 (((~![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)))),
% 49.24/32.32 inference(rewrite,[status(thm)],[])).
% 49.24/32.32 tff(16741,plain,
% 49.24/32.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB116, constB117)) | v101(constB117) | (~v100(constB117)))),
% 49.24/32.32 inference(quant_inst,[status(thm)],[])).
% 49.24/32.32 tff(16742,plain,
% 49.24/32.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB116, constB117)) | v101(constB117) | (~v100(constB117))),
% 49.24/32.32 inference(modus_ponens,[status(thm)],[16741, 16740])).
% 49.24/32.32 tff(16743,plain,
% 49.24/32.32 (v101(constB117) | (~v100(constB117))),
% 49.24/32.32 inference(unit_resolution,[status(thm)],[16742, 66, 16732])).
% 49.24/32.32 tff(16744,plain,
% 49.24/32.32 (~v100(constB117)),
% 49.24/32.32 inference(unit_resolution,[status(thm)],[16743, 16739])).
% 49.24/32.32 tff(16745,plain,
% 49.24/32.32 (((~![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)))),
% 49.24/32.32 inference(rewrite,[status(thm)],[])).
% 49.24/32.32 tff(16746,plain,
% 49.24/32.32 (((~nextState(constB116, constB117)) | v90(constB116, bitIndex2) | v100(constB117) | (~v90(constB117, bitIndex2))) <=> (v90(constB116, bitIndex2) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex2)))),
% 49.24/32.32 inference(rewrite,[status(thm)],[])).
% 49.24/32.32 tff(16747,plain,
% 49.24/32.32 (((~![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))))),
% 49.24/32.32 inference(monotonicity,[status(thm)],[16746])).
% 49.24/32.32 tff(16748,plain,
% 49.24/32.32 (((~![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)))),
% 49.24/32.32 inference(transitivity,[status(thm)],[16747, 16745])).
% 49.24/32.32 tff(16749,plain,
% 49.24/32.32 ((~![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)))),
% 49.24/32.32 inference(quant_inst,[status(thm)],[])).
% 49.24/32.32 tff(16750,plain,
% 49.24/32.32 ((~![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))),
% 49.24/32.32 inference(modus_ponens,[status(thm)],[16749, 16748])).
% 49.24/32.32 tff(16751,plain,
% 49.24/32.32 (v90(constB116, bitIndex2) | v100(constB117) | (~v90(constB117, bitIndex2))),
% 49.24/32.32 inference(unit_resolution,[status(thm)],[16750, 81, 16732])).
% 49.24/32.32 tff(16752,plain,
% 49.24/32.32 (v90(constB116, bitIndex2) | (~v90(constB117, bitIndex2))),
% 49.24/32.32 inference(unit_resolution,[status(thm)],[16751, 16744])).
% 49.24/32.32 tff(16753,plain,
% 49.24/32.32 (~v90(constB117, bitIndex2)),
% 49.24/32.32 inference(unit_resolution,[status(thm)],[16752, 16726])).
% 49.24/32.32 tff(16754,plain,
% 49.24/32.32 (~v122(constB115)),
% 49.24/32.32 inference(unit_resolution,[status(thm)],[16693, 894, 16523])).
% 49.24/32.32 tff(16755,plain,
% 49.24/32.32 (~v119(constB115)),
% 49.24/32.32 inference(unit_resolution,[status(thm)],[16683, 2293, 16554])).
% 49.24/32.32 tff(16756,plain,
% 49.24/32.32 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB115, bitIndex1)) | (~v120(constB115)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB115, bitIndex1)) | (~v120(constB115)))),
% 49.24/32.32 inference(rewrite,[status(thm)],[])).
% 49.24/32.32 tff(16757,plain,
% 49.24/32.32 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB115, bitIndex1)) | (~v120(constB115)))),
% 49.24/32.32 inference(quant_inst,[status(thm)],[])).
% 49.24/32.32 tff(16758,plain,
% 49.24/32.32 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB115, bitIndex1)) | (~v120(constB115))),
% 49.24/32.32 inference(modus_ponens,[status(thm)],[16757, 16756])).
% 49.24/32.32 tff(16759,plain,
% 49.24/32.32 (~v120(constB115)),
% 49.24/32.32 inference(unit_resolution,[status(thm)],[16758, 2312, 16554])).
% 49.24/32.32 tff(16760,plain,
% 49.24/32.32 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB115, bitIndex1)) | (~v124(constB115)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB115, bitIndex1)) | (~v124(constB115)))),
% 49.24/32.32 inference(rewrite,[status(thm)],[])).
% 49.24/32.32 tff(16761,plain,
% 49.24/32.32 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB115, bitIndex1)) | (~v124(constB115)))),
% 49.24/32.32 inference(quant_inst,[status(thm)],[])).
% 49.24/32.32 tff(16762,plain,
% 49.24/32.32 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB115, bitIndex1)) | (~v124(constB115))),
% 49.24/32.32 inference(modus_ponens,[status(thm)],[16761, 16760])).
% 49.24/32.32 tff(16763,plain,
% 49.24/32.32 (~v124(constB115)),
% 49.24/32.32 inference(unit_resolution,[status(thm)],[16762, 763, 16554])).
% 49.24/32.32 tff(16764,plain,
% 49.24/32.32 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB115, bitIndex1)) | v124(constB115) | v122(constB115) | v120(constB115) | v119(constB115) | v121(constB115) | v123(constB115))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB115, bitIndex1)) | v124(constB115) | v122(constB115) | v120(constB115) | v119(constB115) | v121(constB115) | v123(constB115))),
% 49.24/32.32 inference(rewrite,[status(thm)],[])).
% 49.24/32.32 tff(16765,plain,
% 49.24/32.32 ((v120(constB115) | v119(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | (~v130(constB115, bitIndex1))) <=> ((~v130(constB115, bitIndex1)) | v124(constB115) | v122(constB115) | v120(constB115) | v119(constB115) | v121(constB115) | v123(constB115))),
% 49.24/32.32 inference(rewrite,[status(thm)],[])).
% 49.24/32.32 tff(16766,plain,
% 49.24/32.32 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB115) | v119(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | (~v130(constB115, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB115, bitIndex1)) | v124(constB115) | v122(constB115) | v120(constB115) | v119(constB115) | v121(constB115) | v123(constB115)))),
% 49.24/32.32 inference(monotonicity,[status(thm)],[16765])).
% 49.24/32.32 tff(16767,plain,
% 49.24/32.32 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB115) | v119(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | (~v130(constB115, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB115, bitIndex1)) | v124(constB115) | v122(constB115) | v120(constB115) | v119(constB115) | v121(constB115) | v123(constB115))),
% 49.24/32.32 inference(transitivity,[status(thm)],[16766, 16764])).
% 49.24/32.32 tff(16768,plain,
% 49.24/32.32 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB115) | v119(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | (~v130(constB115, bitIndex1)))),
% 49.24/32.32 inference(quant_inst,[status(thm)],[])).
% 49.24/32.32 tff(16769,plain,
% 49.24/32.32 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB115, bitIndex1)) | v124(constB115) | v122(constB115) | v120(constB115) | v119(constB115) | v121(constB115) | v123(constB115)),
% 49.24/32.32 inference(modus_ponens,[status(thm)],[16768, 16767])).
% 49.24/32.32 tff(16770,plain,
% 49.24/32.32 (~v130(constB115, bitIndex1)),
% 49.24/32.32 inference(unit_resolution,[status(thm)],[16769, 1143, 16653, 16657, 16763, 16759, 16755, 16754])).
% 49.24/32.32 tff(16771,plain,
% 49.24/32.32 (((~![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))),
% 49.24/32.32 inference(rewrite,[status(thm)],[])).
% 49.24/32.32 tff(16772,plain,
% 49.24/32.32 ((v26(constB115) | v130(constB115, bitIndex1) | (~v127(constB115, bitIndex1))) <=> ((~v127(constB115, bitIndex1)) | v26(constB115) | v130(constB115, bitIndex1))),
% 49.24/32.32 inference(rewrite,[status(thm)],[])).
% 49.24/32.32 tff(16773,plain,
% 49.24/32.32 (((~![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)))),
% 49.24/32.32 inference(monotonicity,[status(thm)],[16772])).
% 49.24/32.32 tff(16774,plain,
% 49.24/32.32 (((~![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))),
% 49.24/32.32 inference(transitivity,[status(thm)],[16773, 16771])).
% 49.24/32.32 tff(16775,plain,
% 49.24/32.32 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB115) | v130(constB115, bitIndex1) | (~v127(constB115, bitIndex1)))),
% 49.24/32.32 inference(quant_inst,[status(thm)],[])).
% 49.24/32.32 tff(16776,plain,
% 49.24/32.32 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB115, bitIndex1)) | v26(constB115) | v130(constB115, bitIndex1)),
% 49.24/32.32 inference(modus_ponens,[status(thm)],[16775, 16774])).
% 49.24/32.32 tff(16777,plain,
% 49.24/32.32 ((~v127(constB115, bitIndex1)) | v130(constB115, bitIndex1)),
% 49.24/32.32 inference(unit_resolution,[status(thm)],[16776, 450, 16600])).
% 49.24/32.32 tff(16778,plain,
% 49.24/32.32 (~v127(constB115, bitIndex1)),
% 49.24/32.32 inference(unit_resolution,[status(thm)],[16777, 16770])).
% 49.24/32.32 tff(16779,plain,
% 49.24/32.32 (((~![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)))),
% 49.24/32.32 inference(rewrite,[status(thm)],[])).
% 49.24/32.32 tff(16780,plain,
% 49.24/32.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB115, constB116)) | v127(constB115, bitIndex1) | (~v129(constB116, bitIndex1)))),
% 49.24/32.32 inference(quant_inst,[status(thm)],[])).
% 49.24/32.32 tff(16781,plain,
% 49.24/32.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB115, constB116)) | v127(constB115, bitIndex1) | (~v129(constB116, bitIndex1))),
% 49.24/32.32 inference(modus_ponens,[status(thm)],[16780, 16779])).
% 49.24/32.32 tff(16782,plain,
% 49.24/32.32 (v127(constB115, bitIndex1) | (~v129(constB116, bitIndex1))),
% 49.24/32.32 inference(unit_resolution,[status(thm)],[16781, 468, 16615])).
% 49.24/32.32 tff(16783,plain,
% 49.24/32.32 (~v129(constB116, bitIndex1)),
% 49.24/32.32 inference(unit_resolution,[status(thm)],[16782, 16778])).
% 49.24/32.32 tff(16784,plain,
% 49.24/32.32 (((~![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)))),
% 49.24/32.32 inference(rewrite,[status(thm)],[])).
% 49.24/32.32 tff(16785,plain,
% 49.24/32.32 (((~v90(constB116, bitIndex1)) | (~v100(constB116)) | v129(constB116, bitIndex1)) <=> ((~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1) | (~v100(constB116)))),
% 49.24/32.32 inference(rewrite,[status(thm)],[])).
% 49.24/32.32 tff(16786,plain,
% 49.24/32.32 (((~![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))))),
% 49.24/32.32 inference(monotonicity,[status(thm)],[16785])).
% 49.24/32.32 tff(16787,plain,
% 49.24/32.32 (((~![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)))),
% 49.24/32.32 inference(transitivity,[status(thm)],[16786, 16784])).
% 49.24/32.32 tff(16788,plain,
% 49.24/32.32 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB116, bitIndex1)) | (~v100(constB116)) | v129(constB116, bitIndex1))),
% 49.24/32.32 inference(quant_inst,[status(thm)],[])).
% 49.24/32.32 tff(16789,plain,
% 49.24/32.32 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB116, bitIndex1)) | v129(constB116, bitIndex1) | (~v100(constB116))),
% 49.24/32.32 inference(modus_ponens,[status(thm)],[16788, 16787])).
% 49.24/32.32 tff(16790,plain,
% 49.24/32.32 ((~v90(constB116, bitIndex1)) | (~v100(constB116))),
% 49.24/32.32 inference(unit_resolution,[status(thm)],[16789, 483, 16783])).
% 49.24/32.32 tff(16791,plain,
% 49.24/32.32 (~v90(constB116, bitIndex1)),
% 49.24/32.32 inference(unit_resolution,[status(thm)],[16790, 16649])).
% 49.24/32.32 tff(16792,plain,
% 49.24/32.32 (((~![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)))),
% 49.24/32.32 inference(rewrite,[status(thm)],[])).
% 49.24/32.32 tff(16793,plain,
% 49.24/32.32 (((~nextState(constB116, constB117)) | v90(constB116, bitIndex1) | v100(constB117) | (~v90(constB117, bitIndex1))) <=> (v90(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, bitIndex1)))),
% 49.24/32.32 inference(rewrite,[status(thm)],[])).
% 49.24/32.32 tff(16794,plain,
% 49.24/32.32 (((~![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))))),
% 49.24/32.32 inference(monotonicity,[status(thm)],[16793])).
% 49.24/32.32 tff(16795,plain,
% 49.24/32.32 (((~![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)))),
% 49.24/32.32 inference(transitivity,[status(thm)],[16794, 16792])).
% 49.24/32.32 tff(16796,plain,
% 49.24/32.32 ((~![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)))),
% 49.24/32.32 inference(quant_inst,[status(thm)],[])).
% 49.24/32.32 tff(16797,plain,
% 49.24/32.32 ((~![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))),
% 49.24/32.32 inference(modus_ponens,[status(thm)],[16796, 16795])).
% 49.24/32.32 tff(16798,plain,
% 49.24/32.32 (v90(constB116, bitIndex1) | v100(constB117) | (~v90(constB117, bitIndex1))),
% 49.24/32.32 inference(unit_resolution,[status(thm)],[16797, 102, 16732])).
% 49.24/32.32 tff(16799,plain,
% 49.24/32.32 (v90(constB116, bitIndex1) | (~v90(constB117, bitIndex1))),
% 49.24/32.32 inference(unit_resolution,[status(thm)],[16798, 16744])).
% 49.24/32.32 tff(16800,plain,
% 49.24/32.32 (~v90(constB117, bitIndex1)),
% 49.24/32.32 inference(unit_resolution,[status(thm)],[16799, 16791])).
% 49.24/32.32 tff(16801,assumption,(v90(constB115, bitIndex2)), introduced(assumption)).
% 49.24/32.32 tff(16802,plain,
% 49.24/32.32 (~v122(constB115)),
% 49.24/32.32 inference(unit_resolution,[status(thm)],[16693, 894, 16801])).
% 49.24/32.32 tff(16803,plain,
% 49.24/32.32 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB115)) | (~v90(constB115, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB115)) | (~v90(constB115, bitIndex2)))),
% 49.24/32.32 inference(rewrite,[status(thm)],[])).
% 49.24/32.32 tff(16804,plain,
% 49.24/32.32 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB115)) | (~v90(constB115, bitIndex2)))),
% 49.24/32.32 inference(quant_inst,[status(thm)],[])).
% 49.24/32.32 tff(16805,plain,
% 49.24/32.32 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB115)) | (~v90(constB115, bitIndex2))),
% 49.24/32.32 inference(modus_ponens,[status(thm)],[16804, 16803])).
% 49.24/32.32 tff(16806,plain,
% 49.24/32.32 (~v119(constB115)),
% 49.24/32.32 inference(unit_resolution,[status(thm)],[16805, 861, 16801])).
% 49.24/32.32 tff(16807,assumption,(~v120(constB115)), introduced(assumption)).
% 49.24/32.32 tff(16808,assumption,(~v124(constB115)), introduced(assumption)).
% 49.24/32.32 tff(16809,assumption,(~v130(constB115, bitIndex0)), introduced(assumption)).
% 49.24/32.32 tff(16810,plain,
% 49.24/32.32 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB115, bitIndex0) | v124(constB115) | v122(constB115) | v120(constB115) | v119(constB115) | v121(constB115) | v123(constB115))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB115, bitIndex0) | v124(constB115) | v122(constB115) | v120(constB115) | v119(constB115) | v121(constB115) | v123(constB115))),
% 49.24/32.32 inference(rewrite,[status(thm)],[])).
% 49.24/32.32 tff(16811,plain,
% 49.24/32.32 ((v120(constB115) | v119(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | v130(constB115, bitIndex0)) <=> (v130(constB115, bitIndex0) | v124(constB115) | v122(constB115) | v120(constB115) | v119(constB115) | v121(constB115) | v123(constB115))),
% 49.24/32.32 inference(rewrite,[status(thm)],[])).
% 49.24/32.32 tff(16812,plain,
% 49.24/32.32 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB115) | v119(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | v130(constB115, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB115, bitIndex0) | v124(constB115) | v122(constB115) | v120(constB115) | v119(constB115) | v121(constB115) | v123(constB115)))),
% 49.24/32.32 inference(monotonicity,[status(thm)],[16811])).
% 49.24/32.32 tff(16813,plain,
% 49.24/32.32 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB115) | v119(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | v130(constB115, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB115, bitIndex0) | v124(constB115) | v122(constB115) | v120(constB115) | v119(constB115) | v121(constB115) | v123(constB115))),
% 49.24/32.32 inference(transitivity,[status(thm)],[16812, 16810])).
% 49.24/32.32 tff(16814,plain,
% 49.24/32.32 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB115) | v119(constB115) | v121(constB115) | v122(constB115) | v123(constB115) | v124(constB115) | v130(constB115, bitIndex0))),
% 49.24/32.32 inference(quant_inst,[status(thm)],[])).
% 49.24/32.32 tff(16815,plain,
% 49.24/32.32 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB115, bitIndex0) | v124(constB115) | v122(constB115) | v120(constB115) | v119(constB115) | v121(constB115) | v123(constB115)),
% 49.24/32.32 inference(modus_ponens,[status(thm)],[16814, 16813])).
% 49.24/32.32 tff(16816,plain,
% 49.24/32.32 (v122(constB115) | v119(constB115) | v123(constB115)),
% 49.24/32.32 inference(unit_resolution,[status(thm)],[16815, 908, 16809, 16695, 16808, 16807])).
% 49.24/32.32 tff(16817,plain,
% 49.24/32.32 ($false),
% 49.24/32.32 inference(unit_resolution,[status(thm)],[16816, 16806, 16802, 16658])).
% 49.24/32.32 tff(16818,plain,((~v90(constB115, bitIndex2)) | v123(constB115) | v130(constB115, bitIndex0) | v121(constB115) | v124(constB115) | v120(constB115)), inference(lemma,lemma(discharge,[]))).
% 49.24/32.32 tff(16819,plain,
% 49.24/32.32 (v130(constB115, bitIndex0)),
% 49.24/32.32 inference(unit_resolution,[status(thm)],[16818, 16657, 16523, 16653, 16763, 16759])).
% 49.24/32.32 tff(16820,plain,
% 49.24/32.32 (((~![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))) | v26(constB115) | (~v130(constB115, bitIndex0)) | v127(constB115, bitIndex0))),
% 49.24/32.32 inference(rewrite,[status(thm)],[])).
% 49.24/32.32 tff(16821,plain,
% 49.24/32.32 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB115) | (~v130(constB115, bitIndex0)) | v127(constB115, bitIndex0))),
% 49.24/32.32 inference(quant_inst,[status(thm)],[])).
% 49.24/32.32 tff(16822,plain,
% 49.24/32.32 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB115) | (~v130(constB115, bitIndex0)) | v127(constB115, bitIndex0)),
% 49.24/32.32 inference(modus_ponens,[status(thm)],[16821, 16820])).
% 49.24/32.32 tff(16823,plain,
% 49.24/32.32 ((~v130(constB115, bitIndex0)) | v127(constB115, bitIndex0)),
% 49.24/32.32 inference(unit_resolution,[status(thm)],[16822, 926, 16600])).
% 49.24/32.32 tff(16824,plain,
% 49.24/32.32 (v127(constB115, bitIndex0)),
% 49.24/32.32 inference(unit_resolution,[status(thm)],[16823, 16819])).
% 49.24/32.32 tff(16825,plain,
% 49.24/32.32 (((~![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))),
% 49.24/32.32 inference(rewrite,[status(thm)],[])).
% 49.24/32.32 tff(16826,plain,
% 49.24/32.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB115, constB116)) | (~v127(constB115, bitIndex0)) | v129(constB116, bitIndex0))),
% 49.24/32.32 inference(quant_inst,[status(thm)],[])).
% 49.24/32.32 tff(16827,plain,
% 49.24/32.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB115, constB116)) | (~v127(constB115, bitIndex0)) | v129(constB116, bitIndex0)),
% 49.24/32.32 inference(modus_ponens,[status(thm)],[16826, 16825])).
% 49.24/32.32 tff(16828,plain,
% 49.24/32.32 ((~v127(constB115, bitIndex0)) | v129(constB116, bitIndex0)),
% 49.24/32.32 inference(unit_resolution,[status(thm)],[16827, 944, 16615])).
% 49.24/32.32 tff(16829,plain,
% 49.24/32.32 (v129(constB116, bitIndex0)),
% 49.24/32.32 inference(unit_resolution,[status(thm)],[16828, 16824])).
% 49.24/32.32 tff(16830,plain,
% 49.24/32.32 (((~![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)))),
% 49.24/32.32 inference(rewrite,[status(thm)],[])).
% 49.24/32.32 tff(16831,plain,
% 49.24/32.32 ((v90(constB116, bitIndex0) | (~v100(constB116)) | (~v129(constB116, bitIndex0))) <=> (v90(constB116, bitIndex0) | (~v129(constB116, bitIndex0)) | (~v100(constB116)))),
% 49.24/32.32 inference(rewrite,[status(thm)],[])).
% 49.24/32.32 tff(16832,plain,
% 49.24/32.32 (((~![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))))),
% 49.24/32.32 inference(monotonicity,[status(thm)],[16831])).
% 49.24/32.32 tff(16833,plain,
% 49.24/32.32 (((~![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)))),
% 49.24/32.32 inference(transitivity,[status(thm)],[16832, 16830])).
% 49.24/32.32 tff(16834,plain,
% 49.24/32.32 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB116, bitIndex0) | (~v100(constB116)) | (~v129(constB116, bitIndex0)))),
% 49.24/32.32 inference(quant_inst,[status(thm)],[])).
% 49.24/32.32 tff(16835,plain,
% 49.24/32.32 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB116, bitIndex0) | (~v129(constB116, bitIndex0)) | (~v100(constB116))),
% 49.24/32.32 inference(modus_ponens,[status(thm)],[16834, 16833])).
% 49.24/32.32 tff(16836,plain,
% 49.24/32.32 (v90(constB116, bitIndex0) | (~v100(constB116))),
% 49.24/32.32 inference(unit_resolution,[status(thm)],[16835, 1088, 16829])).
% 49.24/32.32 tff(16837,plain,
% 49.24/32.32 (v90(constB116, bitIndex0)),
% 49.24/32.32 inference(unit_resolution,[status(thm)],[16836, 16649])).
% 49.24/32.32 tff(16838,plain,
% 49.24/32.32 (((~![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))),
% 49.24/32.32 inference(rewrite,[status(thm)],[])).
% 49.24/32.32 tff(16839,plain,
% 49.24/32.33 (((~nextState(constB116, constB117)) | (~v90(constB116, bitIndex0)) | v100(constB117) | v90(constB117, bitIndex0)) <=> ((~v90(constB116, bitIndex0)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, bitIndex0))),
% 49.24/32.33 inference(rewrite,[status(thm)],[])).
% 49.24/32.33 tff(16840,plain,
% 49.24/32.33 (((~![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)))),
% 49.24/32.33 inference(monotonicity,[status(thm)],[16839])).
% 49.24/32.33 tff(16841,plain,
% 49.24/32.33 (((~![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))),
% 49.24/32.33 inference(transitivity,[status(thm)],[16840, 16838])).
% 49.24/32.33 tff(16842,plain,
% 49.24/32.33 ((~![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))),
% 49.24/32.33 inference(quant_inst,[status(thm)],[])).
% 49.24/32.33 tff(16843,plain,
% 49.24/32.33 ((~![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)),
% 49.24/32.33 inference(modus_ponens,[status(thm)],[16842, 16841])).
% 49.24/32.33 tff(16844,plain,
% 49.24/32.33 ((~v90(constB116, bitIndex0)) | v100(constB117) | v90(constB117, bitIndex0)),
% 49.24/32.33 inference(unit_resolution,[status(thm)],[16843, 1124, 16732])).
% 49.24/32.33 tff(16845,plain,
% 49.24/32.33 ((~v90(constB116, bitIndex0)) | v90(constB117, bitIndex0)),
% 49.24/32.33 inference(unit_resolution,[status(thm)],[16844, 16744])).
% 49.24/32.33 tff(16846,plain,
% 49.24/32.33 (v90(constB117, bitIndex0)),
% 49.24/32.33 inference(unit_resolution,[status(thm)],[16845, 16837])).
% 49.24/32.33 tff(16847,plain,
% 49.24/32.33 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB117, bitIndex0)) | v90(constB117, bitIndex1) | v90(constB117, bitIndex2) | v120(constB117))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB117, bitIndex0)) | v90(constB117, bitIndex1) | v90(constB117, bitIndex2) | v120(constB117))),
% 49.24/32.33 inference(rewrite,[status(thm)],[])).
% 49.24/32.33 tff(16848,plain,
% 49.24/32.33 (((~v90(constB117, bitIndex0)) | v120(constB117) | v90(constB117, bitIndex1) | v90(constB117, bitIndex2)) <=> ((~v90(constB117, bitIndex0)) | v90(constB117, bitIndex1) | v90(constB117, bitIndex2) | v120(constB117))),
% 49.24/32.33 inference(rewrite,[status(thm)],[])).
% 49.24/32.33 tff(16849,plain,
% 49.24/32.33 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB117, bitIndex0)) | v120(constB117) | v90(constB117, bitIndex1) | v90(constB117, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB117, bitIndex0)) | v90(constB117, bitIndex1) | v90(constB117, bitIndex2) | v120(constB117)))),
% 49.24/32.33 inference(monotonicity,[status(thm)],[16848])).
% 49.24/32.33 tff(16850,plain,
% 49.24/32.33 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB117, bitIndex0)) | v120(constB117) | v90(constB117, bitIndex1) | v90(constB117, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB117, bitIndex0)) | v90(constB117, bitIndex1) | v90(constB117, bitIndex2) | v120(constB117))),
% 49.24/32.33 inference(transitivity,[status(thm)],[16849, 16847])).
% 49.24/32.33 tff(16851,plain,
% 49.24/32.33 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB117, bitIndex0)) | v120(constB117) | v90(constB117, bitIndex1) | v90(constB117, bitIndex2))),
% 49.24/32.33 inference(quant_inst,[status(thm)],[])).
% 49.24/32.33 tff(16852,plain,
% 49.24/32.33 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB117, bitIndex0)) | v90(constB117, bitIndex1) | v90(constB117, bitIndex2) | v120(constB117)),
% 49.24/32.33 inference(modus_ponens,[status(thm)],[16851, 16850])).
% 49.24/32.33 tff(16853,plain,
% 49.24/32.33 (v120(constB117)),
% 49.24/32.33 inference(unit_resolution,[status(thm)],[16852, 1285, 16846, 16800, 16753])).
% 49.24/32.33 tff(16854,plain,
% 49.24/32.33 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB117)) | (~v130(constB117, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB117)) | (~v130(constB117, bitIndex0)))),
% 49.24/32.33 inference(rewrite,[status(thm)],[])).
% 49.24/32.33 tff(16855,plain,
% 49.24/32.33 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB117)) | (~v130(constB117, bitIndex0)))),
% 49.24/32.33 inference(quant_inst,[status(thm)],[])).
% 49.24/32.33 tff(16856,plain,
% 49.24/32.33 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB117)) | (~v130(constB117, bitIndex0))),
% 49.24/32.33 inference(modus_ponens,[status(thm)],[16855, 16854])).
% 49.24/32.33 tff(16857,plain,
% 49.24/32.33 (~v130(constB117, bitIndex0)),
% 49.24/32.33 inference(unit_resolution,[status(thm)],[16856, 1492, 16853])).
% 49.24/32.33 tff(16858,plain,
% 49.24/32.33 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB117) | (~v120(constB117)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB117) | (~v120(constB117)))),
% 49.24/32.33 inference(rewrite,[status(thm)],[])).
% 49.24/32.33 tff(16859,plain,
% 49.24/32.33 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB117) | (~v120(constB117)))),
% 49.24/32.33 inference(quant_inst,[status(thm)],[])).
% 49.24/32.33 tff(16860,plain,
% 49.24/32.33 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB117) | (~v120(constB117))),
% 49.24/32.33 inference(modus_ponens,[status(thm)],[16859, 16858])).
% 49.24/32.33 tff(16861,plain,
% 49.24/32.33 (v118(constB117)),
% 49.24/32.33 inference(unit_resolution,[status(thm)],[16860, 1302, 16853])).
% 49.24/32.33 tff(16862,plain,
% 49.24/32.33 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB117) | (~v118(constB117)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB117) | (~v118(constB117)))),
% 49.24/32.33 inference(rewrite,[status(thm)],[])).
% 49.24/32.33 tff(16863,plain,
% 49.24/32.33 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB117) | (~v118(constB117)))),
% 49.24/32.33 inference(quant_inst,[status(thm)],[])).
% 49.24/32.33 tff(16864,plain,
% 49.24/32.33 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB117) | (~v118(constB117))),
% 49.24/32.33 inference(modus_ponens,[status(thm)],[16863, 16862])).
% 49.24/32.33 tff(16865,plain,
% 49.24/32.33 (v117(constB117)),
% 49.24/32.33 inference(unit_resolution,[status(thm)],[16864, 166, 16861])).
% 49.24/32.33 tff(16866,plain,
% 49.24/32.33 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB117) | (~v117(constB117)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB117) | (~v117(constB117)))),
% 49.24/32.33 inference(rewrite,[status(thm)],[])).
% 49.24/32.33 tff(16867,plain,
% 49.24/32.33 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB117) | (~v117(constB117)))),
% 49.24/32.33 inference(quant_inst,[status(thm)],[])).
% 49.24/32.33 tff(16868,plain,
% 49.24/32.33 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB117) | (~v117(constB117))),
% 49.24/32.33 inference(modus_ponens,[status(thm)],[16867, 16866])).
% 49.24/32.33 tff(16869,plain,
% 49.24/32.33 (v116(constB117)),
% 49.24/32.33 inference(unit_resolution,[status(thm)],[16868, 177, 16865])).
% 49.24/32.33 tff(16870,plain,
% 49.24/32.33 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB117) | (~v116(constB117)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB117) | (~v116(constB117)))),
% 49.24/32.33 inference(rewrite,[status(thm)],[])).
% 49.24/32.33 tff(16871,plain,
% 49.24/32.33 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB117) | (~v116(constB117)))),
% 49.24/32.33 inference(quant_inst,[status(thm)],[])).
% 49.24/32.33 tff(16872,plain,
% 49.24/32.33 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB117) | (~v116(constB117))),
% 49.24/32.33 inference(modus_ponens,[status(thm)],[16871, 16870])).
% 49.24/32.33 tff(16873,plain,
% 49.24/32.33 (v115(constB117)),
% 49.24/32.33 inference(unit_resolution,[status(thm)],[16872, 188, 16869])).
% 49.24/32.33 tff(16874,plain,
% 49.24/32.33 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB117) | (~v115(constB117)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB117) | (~v115(constB117)))),
% 49.24/32.33 inference(rewrite,[status(thm)],[])).
% 49.24/32.33 tff(16875,plain,
% 49.24/32.33 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB117) | (~v115(constB117)))),
% 49.24/32.33 inference(quant_inst,[status(thm)],[])).
% 49.24/32.33 tff(16876,plain,
% 49.24/32.33 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB117) | (~v115(constB117))),
% 49.24/32.33 inference(modus_ponens,[status(thm)],[16875, 16874])).
% 49.24/32.33 tff(16877,plain,
% 49.24/32.33 (v114(constB117)),
% 49.24/32.33 inference(unit_resolution,[status(thm)],[16876, 199, 16873])).
% 49.24/32.33 tff(16878,plain,
% 49.24/32.33 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB117) | (~v114(constB117)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB117) | (~v114(constB117)))),
% 49.24/32.33 inference(rewrite,[status(thm)],[])).
% 49.24/32.33 tff(16879,plain,
% 49.24/32.33 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB117) | (~v114(constB117)))),
% 49.24/32.33 inference(quant_inst,[status(thm)],[])).
% 49.24/32.33 tff(16880,plain,
% 49.24/32.33 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB117) | (~v114(constB117))),
% 49.24/32.33 inference(modus_ponens,[status(thm)],[16879, 16878])).
% 49.24/32.33 tff(16881,plain,
% 49.24/32.33 (v113(constB117)),
% 49.24/32.33 inference(unit_resolution,[status(thm)],[16880, 210, 16877])).
% 49.24/32.33 tff(16882,assumption,(v26(constB117)), introduced(assumption)).
% 49.24/32.33 tff(16883,plain,
% 49.24/32.33 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB117))),
% 49.24/32.33 inference(quant_inst,[status(thm)],[])).
% 49.24/32.33 tff(16884,plain,
% 49.24/32.33 ($false),
% 49.24/32.33 inference(unit_resolution,[status(thm)],[16883, 16, 16882])).
% 49.24/32.33 tff(16885,plain,(~v26(constB117)), inference(lemma,lemma(discharge,[]))).
% 49.24/32.33 tff(16886,assumption,(~v26(constB117)), introduced(assumption)).
% 49.24/32.33 tff(16887,assumption,(v113(constB117)), introduced(assumption)).
% 49.24/32.33 tff(16888,plain,
% 49.24/32.33 (((~![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)))),
% 49.24/32.33 inference(rewrite,[status(thm)],[])).
% 49.24/32.33 tff(16889,plain,
% 49.24/32.33 ((v26(constB117) | (~v113(constB117)) | v112(constB117)) <=> (v26(constB117) | v112(constB117) | (~v113(constB117)))),
% 49.24/32.33 inference(rewrite,[status(thm)],[])).
% 49.24/32.33 tff(16890,plain,
% 49.24/32.33 (((~![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))))),
% 49.24/32.33 inference(monotonicity,[status(thm)],[16889])).
% 49.24/32.33 tff(16891,plain,
% 49.24/32.33 (((~![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)))),
% 49.24/32.33 inference(transitivity,[status(thm)],[16890, 16888])).
% 49.24/32.33 tff(16892,plain,
% 49.24/32.33 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB117) | (~v113(constB117)) | v112(constB117))),
% 49.24/32.33 inference(quant_inst,[status(thm)],[])).
% 49.24/32.33 tff(16893,plain,
% 49.24/32.33 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB117) | v112(constB117) | (~v113(constB117))),
% 49.24/32.33 inference(modus_ponens,[status(thm)],[16892, 16891])).
% 49.24/32.33 tff(16894,plain,
% 49.24/32.33 (v26(constB117) | v112(constB117)),
% 49.24/32.33 inference(unit_resolution,[status(thm)],[16893, 224, 16887])).
% 49.24/32.33 tff(16895,plain,
% 49.24/32.33 (v112(constB117)),
% 49.24/32.33 inference(unit_resolution,[status(thm)],[16894, 16886])).
% 49.24/32.33 tff(16896,assumption,(~v130(constB117, bitIndex0)), introduced(assumption)).
% 49.24/32.33 tff(16897,plain,
% 49.24/32.33 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB117, bitIndex0)) | v26(constB117) | v130(constB117, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB117, bitIndex0)) | v26(constB117) | v130(constB117, bitIndex0))),
% 49.24/32.33 inference(rewrite,[status(thm)],[])).
% 49.24/32.33 tff(16898,plain,
% 49.24/32.33 ((v26(constB117) | v130(constB117, bitIndex0) | (~v127(constB117, bitIndex0))) <=> ((~v127(constB117, bitIndex0)) | v26(constB117) | v130(constB117, bitIndex0))),
% 49.24/32.33 inference(rewrite,[status(thm)],[])).
% 49.24/32.33 tff(16899,plain,
% 49.24/32.33 (((~![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)))) | ((~v127(constB117, bitIndex0)) | v26(constB117) | v130(constB117, bitIndex0)))),
% 49.24/32.33 inference(monotonicity,[status(thm)],[16898])).
% 49.24/32.33 tff(16900,plain,
% 49.24/32.33 (((~![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)))) | (~v127(constB117, bitIndex0)) | v26(constB117) | v130(constB117, bitIndex0))),
% 49.24/32.33 inference(transitivity,[status(thm)],[16899, 16897])).
% 49.24/32.33 tff(16901,plain,
% 49.24/32.33 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB117) | v130(constB117, bitIndex0) | (~v127(constB117, bitIndex0)))),
% 49.24/32.33 inference(quant_inst,[status(thm)],[])).
% 49.24/32.33 tff(16902,plain,
% 49.24/32.33 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB117, bitIndex0)) | v26(constB117) | v130(constB117, bitIndex0)),
% 49.24/32.33 inference(modus_ponens,[status(thm)],[16901, 16900])).
% 49.24/32.33 tff(16903,plain,
% 49.24/32.33 ((~v127(constB117, bitIndex0)) | v26(constB117)),
% 49.24/32.33 inference(unit_resolution,[status(thm)],[16902, 524, 16896])).
% 49.24/32.33 tff(16904,plain,
% 49.24/32.33 (~v127(constB117, bitIndex0)),
% 49.24/32.33 inference(unit_resolution,[status(thm)],[16903, 16886])).
% 49.24/32.33 tff(16905,plain,
% 49.24/32.33 (nextState(constB117, constB118) <=> nextState(constB117, constB118)),
% 49.24/32.33 inference(rewrite,[status(thm)],[])).
% 49.24/32.33 tff(16906,axiom,(nextState(constB117, constB118)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_117_1')).
% 49.24/32.33 tff(16907,plain,
% 49.24/32.33 (nextState(constB117, constB118)),
% 49.24/32.33 inference(modus_ponens,[status(thm)],[16906, 16905])).
% 49.24/32.33 tff(16908,plain,
% 49.24/32.33 (((~![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)))),
% 49.24/32.33 inference(rewrite,[status(thm)],[])).
% 49.24/32.33 tff(16909,plain,
% 49.24/32.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB117, constB118)) | v127(constB117, bitIndex0) | (~v129(constB118, bitIndex0)))),
% 49.24/32.33 inference(quant_inst,[status(thm)],[])).
% 49.24/32.33 tff(16910,plain,
% 49.24/32.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB117, constB118)) | v127(constB117, bitIndex0) | (~v129(constB118, bitIndex0))),
% 49.24/32.33 inference(modus_ponens,[status(thm)],[16909, 16908])).
% 49.24/32.33 tff(16911,plain,
% 49.24/32.33 (v127(constB117, bitIndex0) | (~v129(constB118, bitIndex0))),
% 49.24/32.33 inference(unit_resolution,[status(thm)],[16910, 542, 16907])).
% 49.24/32.33 tff(16912,plain,
% 49.24/32.33 (~v129(constB118, bitIndex0)),
% 49.24/32.33 inference(unit_resolution,[status(thm)],[16911, 16904])).
% 49.24/32.33 tff(16913,assumption,(v90(constB118, bitIndex0)), introduced(assumption)).
% 49.24/32.33 tff(16914,plain,
% 49.24/32.33 (((~![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)))),
% 49.24/32.33 inference(rewrite,[status(thm)],[])).
% 49.24/32.33 tff(16915,plain,
% 49.24/32.33 (((~v90(constB118, bitIndex0)) | (~v100(constB118)) | v129(constB118, bitIndex0)) <=> ((~v90(constB118, bitIndex0)) | v129(constB118, bitIndex0) | (~v100(constB118)))),
% 49.24/32.33 inference(rewrite,[status(thm)],[])).
% 49.24/32.33 tff(16916,plain,
% 49.24/32.33 (((~![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))))),
% 49.24/32.33 inference(monotonicity,[status(thm)],[16915])).
% 49.24/32.33 tff(16917,plain,
% 49.24/32.33 (((~![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)))),
% 49.24/32.33 inference(transitivity,[status(thm)],[16916, 16914])).
% 49.24/32.33 tff(16918,plain,
% 49.24/32.33 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB118, bitIndex0)) | (~v100(constB118)) | v129(constB118, bitIndex0))),
% 49.24/32.33 inference(quant_inst,[status(thm)],[])).
% 49.24/32.33 tff(16919,plain,
% 49.24/32.33 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB118, bitIndex0)) | v129(constB118, bitIndex0) | (~v100(constB118))),
% 49.24/32.33 inference(modus_ponens,[status(thm)],[16918, 16917])).
% 49.24/32.33 tff(16920,plain,
% 49.24/32.33 (v129(constB118, bitIndex0) | (~v100(constB118))),
% 49.24/32.33 inference(unit_resolution,[status(thm)],[16919, 557, 16913])).
% 49.24/32.33 tff(16921,plain,
% 49.24/32.33 (~v100(constB118)),
% 49.24/32.33 inference(unit_resolution,[status(thm)],[16920, 16912])).
% 49.24/32.33 tff(16922,plain,
% 49.24/32.33 (((~![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)))),
% 49.24/32.33 inference(rewrite,[status(thm)],[])).
% 49.24/32.33 tff(16923,plain,
% 49.24/32.33 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB117) | (~nextState(constB117, constB118)) | (~v104(constB118)))),
% 49.24/32.33 inference(quant_inst,[status(thm)],[])).
% 49.24/32.33 tff(16924,plain,
% 49.24/32.33 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB117) | (~nextState(constB117, constB118)) | (~v104(constB118))),
% 49.24/32.33 inference(modus_ponens,[status(thm)],[16923, 16922])).
% 49.24/32.33 tff(16925,plain,
% 49.24/32.33 (~v104(constB118)),
% 49.24/32.33 inference(unit_resolution,[status(thm)],[16924, 271, 16907, 16729])).
% 49.24/32.33 tff(16926,plain,
% 49.24/32.33 (((~![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))),
% 49.24/32.33 inference(rewrite,[status(thm)],[])).
% 49.24/32.33 tff(16927,plain,
% 49.24/32.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB117, constB118)) | v102(constB118) | v104(constB118))),
% 49.24/32.33 inference(quant_inst,[status(thm)],[])).
% 49.24/32.33 tff(16928,plain,
% 49.24/32.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB117, constB118)) | v102(constB118) | v104(constB118)),
% 49.24/32.33 inference(modus_ponens,[status(thm)],[16927, 16926])).
% 49.24/32.33 tff(16929,plain,
% 49.24/32.33 (v102(constB118) | v104(constB118)),
% 49.24/32.33 inference(unit_resolution,[status(thm)],[16928, 285, 16907])).
% 49.24/32.33 tff(16930,plain,
% 49.24/32.33 (v102(constB118)),
% 49.24/32.33 inference(unit_resolution,[status(thm)],[16929, 16925])).
% 49.24/32.33 tff(16931,plain,
% 49.24/32.33 (v1(constB118) <=> v1(constB118)),
% 49.24/32.33 inference(rewrite,[status(thm)],[])).
% 49.24/32.33 tff(16932,axiom,(v1(constB118)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_118_1')).
% 49.24/32.33 tff(16933,plain,
% 49.24/32.33 (v1(constB118)),
% 49.24/32.33 inference(modus_ponens,[status(thm)],[16932, 16931])).
% 49.24/32.33 tff(16934,plain,
% 49.24/32.33 (((~![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)))),
% 49.24/32.33 inference(rewrite,[status(thm)],[])).
% 49.24/32.33 tff(16935,plain,
% 49.24/32.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB117, constB118)) | v101(constB118) | (~v102(constB118)) | (~v1(constB118)))),
% 49.24/32.33 inference(quant_inst,[status(thm)],[])).
% 49.24/32.33 tff(16936,plain,
% 49.24/32.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB117, constB118)) | v101(constB118) | (~v102(constB118)) | (~v1(constB118))),
% 49.24/32.33 inference(modus_ponens,[status(thm)],[16935, 16934])).
% 49.24/32.33 tff(16937,plain,
% 49.24/32.33 (v101(constB118) | (~v102(constB118))),
% 49.24/32.33 inference(unit_resolution,[status(thm)],[16936, 303, 16907, 16933])).
% 49.24/32.33 tff(16938,plain,
% 49.24/32.33 (v101(constB118)),
% 49.24/32.33 inference(unit_resolution,[status(thm)],[16937, 16930])).
% 49.24/32.33 tff(16939,plain,
% 49.24/32.33 (((~![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)))),
% 49.24/32.33 inference(rewrite,[status(thm)],[])).
% 49.24/32.33 tff(16940,plain,
% 49.24/32.33 (((~nextState(constB117, constB118)) | (~v101(constB118)) | (~v110(constB118)) | v100(constB118)) <=> ((~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118)))),
% 49.24/32.33 inference(rewrite,[status(thm)],[])).
% 49.24/32.33 tff(16941,plain,
% 49.24/32.33 (((~![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))))),
% 49.24/32.33 inference(monotonicity,[status(thm)],[16940])).
% 49.24/32.33 tff(16942,plain,
% 49.24/32.33 (((~![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)))),
% 49.24/32.33 inference(transitivity,[status(thm)],[16941, 16939])).
% 49.24/32.33 tff(16943,plain,
% 49.24/32.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB117, constB118)) | (~v101(constB118)) | (~v110(constB118)) | v100(constB118))),
% 49.24/32.33 inference(quant_inst,[status(thm)],[])).
% 49.24/32.33 tff(16944,plain,
% 49.24/32.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118))),
% 49.24/32.33 inference(modus_ponens,[status(thm)],[16943, 16942])).
% 49.24/32.33 tff(16945,plain,
% 49.24/32.33 (v100(constB118) | (~v101(constB118)) | (~v110(constB118))),
% 49.24/32.33 inference(unit_resolution,[status(thm)],[16944, 318, 16907])).
% 49.24/32.33 tff(16946,plain,
% 49.24/32.33 (v100(constB118) | (~v110(constB118))),
% 49.24/32.33 inference(unit_resolution,[status(thm)],[16945, 16938])).
% 49.24/32.33 tff(16947,plain,
% 49.24/32.33 (~v110(constB118)),
% 49.24/32.33 inference(unit_resolution,[status(thm)],[16946, 16921])).
% 49.24/32.33 tff(16948,plain,
% 49.24/32.33 (((~![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)))),
% 49.24/32.33 inference(rewrite,[status(thm)],[])).
% 49.24/32.33 tff(16949,plain,
% 49.24/32.33 (((~nextState(constB117, constB118)) | (~v108(constB117)) | v110(constB118)) <=> ((~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117)))),
% 49.24/32.33 inference(rewrite,[status(thm)],[])).
% 49.24/32.33 tff(16950,plain,
% 49.24/32.33 (((~![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))))),
% 49.24/32.33 inference(monotonicity,[status(thm)],[16949])).
% 49.24/32.33 tff(16951,plain,
% 49.24/32.33 (((~![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)))),
% 49.24/32.33 inference(transitivity,[status(thm)],[16950, 16948])).
% 49.24/32.33 tff(16952,plain,
% 49.24/32.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB117, constB118)) | (~v108(constB117)) | v110(constB118))),
% 49.24/32.33 inference(quant_inst,[status(thm)],[])).
% 49.24/32.33 tff(16953,plain,
% 49.24/32.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117))),
% 49.24/32.33 inference(modus_ponens,[status(thm)],[16952, 16951])).
% 49.24/32.33 tff(16954,plain,
% 49.24/32.33 (v110(constB118) | (~v108(constB117))),
% 49.24/32.33 inference(unit_resolution,[status(thm)],[16953, 253, 16907])).
% 49.24/32.33 tff(16955,plain,
% 49.24/32.33 (~v108(constB117)),
% 49.24/32.33 inference(unit_resolution,[status(thm)],[16954, 16947])).
% 49.24/32.33 tff(16956,plain,
% 49.24/32.33 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB117) | (~v112(constB117)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB117) | (~v112(constB117)))),
% 49.24/32.33 inference(rewrite,[status(thm)],[])).
% 49.24/32.33 tff(16957,plain,
% 49.24/32.33 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB117) | (~v112(constB117)))),
% 49.24/32.33 inference(quant_inst,[status(thm)],[])).
% 49.24/32.33 tff(16958,plain,
% 49.24/32.33 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB117) | (~v112(constB117))),
% 49.24/32.33 inference(modus_ponens,[status(thm)],[16957, 16956])).
% 49.24/32.33 tff(16959,plain,
% 49.24/32.33 ($false),
% 49.24/32.33 inference(unit_resolution,[status(thm)],[16958, 236, 16955, 16895])).
% 49.24/32.33 tff(16960,plain,(v26(constB117) | (~v90(constB118, bitIndex0)) | (~v113(constB117)) | v130(constB117, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 49.24/32.33 tff(16961,plain,
% 49.24/32.33 ((~v90(constB118, bitIndex0)) | (~v113(constB117)) | v130(constB117, bitIndex0)),
% 49.24/32.33 inference(unit_resolution,[status(thm)],[16960, 16885])).
% 49.24/32.33 tff(16962,plain,
% 49.24/32.33 (~v90(constB118, bitIndex0)),
% 49.24/32.33 inference(unit_resolution,[status(thm)],[16961, 16881, 16857])).
% 49.24/32.33 tff(16963,assumption,(~v100(constB118)), introduced(assumption)).
% 49.24/32.33 tff(16964,plain,
% 49.24/32.33 (~v110(constB118)),
% 49.24/32.33 inference(unit_resolution,[status(thm)],[16946, 16963])).
% 49.24/32.33 tff(16965,plain,
% 49.24/32.33 (~v108(constB117)),
% 49.24/32.33 inference(unit_resolution,[status(thm)],[16954, 16964])).
% 49.24/32.33 tff(16966,plain,
% 49.24/32.33 (~v112(constB117)),
% 49.24/32.33 inference(unit_resolution,[status(thm)],[16958, 236, 16965])).
% 49.24/32.33 tff(16967,plain,
% 49.24/32.33 (v112(constB117) | (~v113(constB117))),
% 49.24/32.33 inference(unit_resolution,[status(thm)],[16893, 224, 16885])).
% 49.24/32.33 tff(16968,plain,
% 49.24/32.33 (~v113(constB117)),
% 49.24/32.33 inference(unit_resolution,[status(thm)],[16967, 16966])).
% 49.24/32.33 tff(16969,plain,
% 49.24/32.33 (~v114(constB117)),
% 49.24/32.33 inference(unit_resolution,[status(thm)],[16880, 210, 16968])).
% 49.24/32.33 tff(16970,plain,
% 49.24/32.33 (~v115(constB117)),
% 49.24/32.33 inference(unit_resolution,[status(thm)],[16876, 199, 16969])).
% 49.24/32.33 tff(16971,plain,
% 49.24/32.33 (~v116(constB117)),
% 49.24/32.33 inference(unit_resolution,[status(thm)],[16872, 188, 16970])).
% 49.24/32.33 tff(16972,plain,
% 49.24/32.33 (~v117(constB117)),
% 49.24/32.33 inference(unit_resolution,[status(thm)],[16868, 177, 16971])).
% 49.24/32.33 tff(16973,plain,
% 49.24/32.33 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB117) | (~v121(constB117)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB117) | (~v121(constB117)))),
% 49.24/32.33 inference(rewrite,[status(thm)],[])).
% 49.24/32.33 tff(16974,plain,
% 49.24/32.33 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB117) | (~v121(constB117)))),
% 49.24/32.33 inference(quant_inst,[status(thm)],[])).
% 49.24/32.33 tff(16975,plain,
% 49.24/32.33 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB117) | (~v121(constB117))),
% 49.24/32.33 inference(modus_ponens,[status(thm)],[16974, 16973])).
% 49.24/32.33 tff(16976,plain,
% 49.24/32.33 (~v121(constB117)),
% 49.24/32.33 inference(unit_resolution,[status(thm)],[16975, 1562, 16972])).
% 49.24/32.33 tff(16977,assumption,(~v90(constB118, bitIndex0)), introduced(assumption)).
% 49.24/32.33 tff(16978,plain,
% 49.24/32.33 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB117)) | v130(constB117, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB117)) | v130(constB117, bitIndex0))),
% 49.24/32.33 inference(rewrite,[status(thm)],[])).
% 49.24/32.33 tff(16979,plain,
% 49.24/32.33 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB117)) | v130(constB117, bitIndex0))),
% 49.24/32.33 inference(quant_inst,[status(thm)],[])).
% 49.24/32.33 tff(16980,plain,
% 49.24/32.33 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB117)) | v130(constB117, bitIndex0)),
% 49.24/32.33 inference(modus_ponens,[status(thm)],[16979, 16978])).
% 49.24/32.33 tff(16981,plain,
% 49.24/32.33 (~v124(constB117)),
% 49.24/32.33 inference(unit_resolution,[status(thm)],[16980, 3020, 16896])).
% 49.24/32.33 tff(16982,plain,
% 49.24/32.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB117, bitIndex0)) | (~nextState(constB117, constB118)) | v100(constB118) | v90(constB118, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB117, bitIndex0)) | (~nextState(constB117, constB118)) | v100(constB118) | v90(constB118, bitIndex0))),
% 49.24/32.33 inference(rewrite,[status(thm)],[])).
% 49.24/32.33 tff(16983,plain,
% 49.24/32.33 (((~nextState(constB117, constB118)) | (~v90(constB117, bitIndex0)) | v100(constB118) | v90(constB118, bitIndex0)) <=> ((~v90(constB117, bitIndex0)) | (~nextState(constB117, constB118)) | v100(constB118) | v90(constB118, bitIndex0))),
% 49.24/32.33 inference(rewrite,[status(thm)],[])).
% 49.24/32.33 tff(16984,plain,
% 49.24/32.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB117, constB118)) | (~v90(constB117, bitIndex0)) | v100(constB118) | v90(constB118, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB117, bitIndex0)) | (~nextState(constB117, constB118)) | v100(constB118) | v90(constB118, bitIndex0)))),
% 49.24/32.33 inference(monotonicity,[status(thm)],[16983])).
% 49.24/32.33 tff(16985,plain,
% 49.24/32.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB117, constB118)) | (~v90(constB117, bitIndex0)) | v100(constB118) | v90(constB118, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB117, bitIndex0)) | (~nextState(constB117, constB118)) | v100(constB118) | v90(constB118, bitIndex0))),
% 49.24/32.33 inference(transitivity,[status(thm)],[16984, 16982])).
% 49.24/32.33 tff(16986,plain,
% 49.24/32.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB117, constB118)) | (~v90(constB117, bitIndex0)) | v100(constB118) | v90(constB118, bitIndex0))),
% 49.24/32.33 inference(quant_inst,[status(thm)],[])).
% 49.24/32.33 tff(16987,plain,
% 49.24/32.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB117, bitIndex0)) | (~nextState(constB117, constB118)) | v100(constB118) | v90(constB118, bitIndex0)),
% 49.24/32.33 inference(modus_ponens,[status(thm)],[16986, 16985])).
% 49.24/32.33 tff(16988,plain,
% 49.24/32.33 ((~v90(constB117, bitIndex0)) | v100(constB118) | v90(constB118, bitIndex0)),
% 49.24/32.33 inference(unit_resolution,[status(thm)],[16987, 1124, 16907])).
% 49.24/32.33 tff(16989,plain,
% 49.24/32.33 (~v90(constB117, bitIndex0)),
% 49.24/32.33 inference(unit_resolution,[status(thm)],[16988, 16963, 16977])).
% 49.24/32.33 tff(16990,plain,
% 49.24/32.33 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB117, bitIndex0) | (~v122(constB117)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB117, bitIndex0) | (~v122(constB117)))),
% 49.24/32.33 inference(rewrite,[status(thm)],[])).
% 49.24/32.33 tff(16991,plain,
% 49.24/32.33 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB117, bitIndex0) | (~v122(constB117)))),
% 49.24/32.33 inference(quant_inst,[status(thm)],[])).
% 49.24/32.33 tff(16992,plain,
% 49.24/32.33 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB117, bitIndex0) | (~v122(constB117))),
% 49.24/32.33 inference(modus_ponens,[status(thm)],[16991, 16990])).
% 49.24/32.33 tff(16993,plain,
% 49.24/32.33 (~v122(constB117)),
% 49.24/32.33 inference(unit_resolution,[status(thm)],[16992, 2921, 16989])).
% 49.24/32.33 tff(16994,plain,
% 49.24/32.33 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB117, bitIndex0) | (~v120(constB117)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB117, bitIndex0) | (~v120(constB117)))),
% 49.24/32.33 inference(rewrite,[status(thm)],[])).
% 49.24/32.33 tff(16995,plain,
% 49.24/32.33 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB117, bitIndex0) | (~v120(constB117)))),
% 49.24/32.33 inference(quant_inst,[status(thm)],[])).
% 49.24/32.33 tff(16996,plain,
% 49.24/32.33 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB117, bitIndex0) | (~v120(constB117))),
% 49.24/32.33 inference(modus_ponens,[status(thm)],[16995, 16994])).
% 49.24/32.33 tff(16997,plain,
% 49.24/32.33 (~v120(constB117)),
% 49.24/32.33 inference(unit_resolution,[status(thm)],[16996, 2943, 16989])).
% 49.24/32.33 tff(16998,plain,
% 49.24/32.33 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB117)) | v130(constB117, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB117)) | v130(constB117, bitIndex0))),
% 49.24/32.33 inference(rewrite,[status(thm)],[])).
% 49.24/32.33 tff(16999,plain,
% 49.24/32.33 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB117)) | v130(constB117, bitIndex0))),
% 49.24/32.33 inference(quant_inst,[status(thm)],[])).
% 49.24/32.33 tff(17000,plain,
% 49.24/32.33 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB117)) | v130(constB117, bitIndex0)),
% 49.24/32.34 inference(modus_ponens,[status(thm)],[16999, 16998])).
% 49.24/32.34 tff(17001,plain,
% 49.24/32.34 (~v121(constB117)),
% 49.24/32.34 inference(unit_resolution,[status(thm)],[17000, 1748, 16896])).
% 49.24/32.34 tff(17002,plain,
% 49.24/32.34 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB117) | (~v123(constB117)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB117) | (~v123(constB117)))),
% 49.24/32.34 inference(rewrite,[status(thm)],[])).
% 49.24/32.34 tff(17003,plain,
% 49.24/32.34 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB117) | (~v123(constB117)))),
% 49.24/32.34 inference(quant_inst,[status(thm)],[])).
% 49.24/32.34 tff(17004,plain,
% 49.24/32.34 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB117) | (~v123(constB117))),
% 49.24/32.34 inference(modus_ponens,[status(thm)],[17003, 17002])).
% 49.24/32.34 tff(17005,plain,
% 49.24/32.34 (~v123(constB117)),
% 49.24/32.34 inference(unit_resolution,[status(thm)],[17004, 595, 16970])).
% 49.24/32.34 tff(17006,plain,
% 49.24/32.34 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v123(constB117) | v121(constB117) | v120(constB117) | v119(constB117) | v122(constB117) | v124(constB117) | v130(constB117, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v123(constB117) | v121(constB117) | v120(constB117) | v119(constB117) | v122(constB117) | v124(constB117) | v130(constB117, bitIndex0))),
% 49.24/32.34 inference(rewrite,[status(thm)],[])).
% 49.24/32.34 tff(17007,plain,
% 49.24/32.34 ((v120(constB117) | v119(constB117) | v121(constB117) | v122(constB117) | v123(constB117) | v124(constB117) | v130(constB117, bitIndex0)) <=> (v123(constB117) | v121(constB117) | v120(constB117) | v119(constB117) | v122(constB117) | v124(constB117) | v130(constB117, bitIndex0))),
% 49.24/32.34 inference(rewrite,[status(thm)],[])).
% 49.24/32.34 tff(17008,plain,
% 49.24/32.34 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB117) | v119(constB117) | v121(constB117) | v122(constB117) | v123(constB117) | v124(constB117) | v130(constB117, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v123(constB117) | v121(constB117) | v120(constB117) | v119(constB117) | v122(constB117) | v124(constB117) | v130(constB117, bitIndex0)))),
% 49.24/32.34 inference(monotonicity,[status(thm)],[17007])).
% 49.24/32.34 tff(17009,plain,
% 49.24/32.34 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB117) | v119(constB117) | v121(constB117) | v122(constB117) | v123(constB117) | v124(constB117) | v130(constB117, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v123(constB117) | v121(constB117) | v120(constB117) | v119(constB117) | v122(constB117) | v124(constB117) | v130(constB117, bitIndex0))),
% 49.24/32.34 inference(transitivity,[status(thm)],[17008, 17006])).
% 49.24/32.34 tff(17010,plain,
% 49.24/32.34 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB117) | v119(constB117) | v121(constB117) | v122(constB117) | v123(constB117) | v124(constB117) | v130(constB117, bitIndex0))),
% 49.24/32.34 inference(quant_inst,[status(thm)],[])).
% 49.24/32.34 tff(17011,plain,
% 49.24/32.34 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v123(constB117) | v121(constB117) | v120(constB117) | v119(constB117) | v122(constB117) | v124(constB117) | v130(constB117, bitIndex0)),
% 49.24/32.34 inference(modus_ponens,[status(thm)],[17010, 17009])).
% 49.24/32.34 tff(17012,plain,
% 49.24/32.34 (v123(constB117) | v121(constB117) | v120(constB117) | v119(constB117) | v122(constB117) | v124(constB117)),
% 49.24/32.34 inference(unit_resolution,[status(thm)],[17011, 908, 16896])).
% 49.24/32.34 tff(17013,plain,
% 49.24/32.34 (v119(constB117)),
% 49.24/32.34 inference(unit_resolution,[status(thm)],[17012, 17005, 17001, 16997, 16993, 16981])).
% 49.24/32.34 tff(17014,plain,
% 49.24/32.34 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB117) | (~v119(constB117)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB117) | (~v119(constB117)))),
% 49.24/32.34 inference(rewrite,[status(thm)],[])).
% 49.24/32.34 tff(17015,plain,
% 49.24/32.34 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB117) | (~v119(constB117)))),
% 49.24/32.34 inference(quant_inst,[status(thm)],[])).
% 49.24/32.34 tff(17016,plain,
% 49.24/32.34 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB117) | (~v119(constB117))),
% 49.24/32.34 inference(modus_ponens,[status(thm)],[17015, 17014])).
% 49.24/32.34 tff(17017,plain,
% 49.24/32.34 (v118(constB117)),
% 49.24/32.34 inference(unit_resolution,[status(thm)],[17016, 155, 17013])).
% 49.24/32.34 tff(17018,plain,
% 49.24/32.34 ($false),
% 49.24/32.34 inference(unit_resolution,[status(thm)],[16864, 166, 17017, 16972])).
% 49.24/32.34 tff(17019,plain,(v100(constB118) | v130(constB117, bitIndex0) | v90(constB118, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 49.24/32.34 tff(17020,plain,
% 49.24/32.34 (v130(constB117, bitIndex0)),
% 49.24/32.34 inference(unit_resolution,[status(thm)],[17019, 16963, 16977])).
% 49.24/32.34 tff(17021,plain,
% 49.24/32.34 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB117)) | (~v130(constB117, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB117)) | (~v130(constB117, bitIndex0)))),
% 49.24/32.34 inference(rewrite,[status(thm)],[])).
% 49.24/32.34 tff(17022,plain,
% 49.24/32.34 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB117)) | (~v130(constB117, bitIndex0)))),
% 49.24/32.34 inference(quant_inst,[status(thm)],[])).
% 49.24/32.34 tff(17023,plain,
% 49.24/32.34 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB117)) | (~v130(constB117, bitIndex0))),
% 49.24/32.34 inference(modus_ponens,[status(thm)],[17022, 17021])).
% 49.24/32.34 tff(17024,plain,
% 49.24/32.34 (~v123(constB117)),
% 49.24/32.34 inference(unit_resolution,[status(thm)],[17023, 975, 17020])).
% 49.24/32.34 tff(17025,plain,
% 49.24/32.34 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB117)) | (~v130(constB117, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB117)) | (~v130(constB117, bitIndex0)))),
% 49.24/32.34 inference(rewrite,[status(thm)],[])).
% 49.24/32.34 tff(17026,plain,
% 49.24/32.34 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB117)) | (~v130(constB117, bitIndex0)))),
% 49.24/32.34 inference(quant_inst,[status(thm)],[])).
% 49.24/32.34 tff(17027,plain,
% 49.24/32.34 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB117)) | (~v130(constB117, bitIndex0))),
% 49.24/32.34 inference(modus_ponens,[status(thm)],[17026, 17025])).
% 49.24/32.34 tff(17028,plain,
% 49.24/32.34 (~v119(constB117)),
% 49.24/32.34 inference(unit_resolution,[status(thm)],[17027, 510, 17020])).
% 49.24/32.34 tff(17029,assumption,(~v90(constB117, bitIndex1)), introduced(assumption)).
% 49.24/32.34 tff(17030,assumption,(~v123(constB117)), introduced(assumption)).
% 49.24/32.34 tff(17031,assumption,(~v90(constB117, bitIndex0)), introduced(assumption)).
% 49.24/32.34 tff(17032,plain,
% 49.24/32.34 (((~![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))),
% 49.24/32.34 inference(rewrite,[status(thm)],[])).
% 49.24/32.34 tff(17033,plain,
% 49.24/32.34 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB117, bitIndex0) | v90(constB117, bitIndex1) | (~v90(constB117, bitIndex2)) | v123(constB117))),
% 49.24/32.34 inference(quant_inst,[status(thm)],[])).
% 49.24/32.34 tff(17034,plain,
% 49.24/32.34 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB117, bitIndex0) | v90(constB117, bitIndex1) | (~v90(constB117, bitIndex2)) | v123(constB117)),
% 49.24/32.34 inference(modus_ponens,[status(thm)],[17033, 17032])).
% 49.24/32.34 tff(17035,plain,
% 49.24/32.34 (v90(constB117, bitIndex1) | (~v90(constB117, bitIndex2))),
% 49.24/32.34 inference(unit_resolution,[status(thm)],[17034, 584, 17031, 17030])).
% 49.24/32.34 tff(17036,plain,
% 49.24/32.34 (~v90(constB117, bitIndex2)),
% 49.24/32.34 inference(unit_resolution,[status(thm)],[17035, 17029])).
% 49.24/32.34 tff(17037,assumption,(~v119(constB117)), introduced(assumption)).
% 49.24/32.34 tff(17038,plain,
% 49.24/32.34 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB117) | v90(constB117, bitIndex0) | v90(constB117, bitIndex1) | v90(constB117, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB117) | v90(constB117, bitIndex0) | v90(constB117, bitIndex1) | v90(constB117, bitIndex2))),
% 49.24/32.34 inference(rewrite,[status(thm)],[])).
% 49.24/32.34 tff(17039,plain,
% 49.24/32.34 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB117) | v90(constB117, bitIndex0) | v90(constB117, bitIndex1) | v90(constB117, bitIndex2))),
% 49.24/32.34 inference(quant_inst,[status(thm)],[])).
% 49.24/32.34 tff(17040,plain,
% 49.24/32.34 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB117) | v90(constB117, bitIndex0) | v90(constB117, bitIndex1) | v90(constB117, bitIndex2)),
% 49.24/32.34 inference(modus_ponens,[status(thm)],[17039, 17038])).
% 49.24/32.34 tff(17041,plain,
% 49.24/32.34 (v90(constB117, bitIndex1) | v90(constB117, bitIndex2)),
% 49.24/32.34 inference(unit_resolution,[status(thm)],[17040, 144, 17031, 17037])).
% 49.24/32.34 tff(17042,plain,
% 49.24/32.34 ($false),
% 49.24/32.34 inference(unit_resolution,[status(thm)],[17041, 17036, 17029])).
% 49.24/32.34 tff(17043,plain,(v90(constB117, bitIndex1) | v90(constB117, bitIndex0) | v119(constB117) | v123(constB117)), inference(lemma,lemma(discharge,[]))).
% 49.24/32.34 tff(17044,plain,
% 49.24/32.34 (v90(constB117, bitIndex1)),
% 49.24/32.34 inference(unit_resolution,[status(thm)],[17043, 16989, 17028, 17024])).
% 49.24/32.34 tff(17045,plain,
% 49.24/32.34 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB117) | (~v125(constB117)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB117) | (~v125(constB117)))),
% 49.24/32.34 inference(rewrite,[status(thm)],[])).
% 49.24/32.34 tff(17046,plain,
% 49.24/32.34 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB117) | (~v125(constB117)))),
% 49.24/32.34 inference(quant_inst,[status(thm)],[])).
% 49.24/32.34 tff(17047,plain,
% 49.24/32.34 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB117) | (~v125(constB117))),
% 49.24/32.34 inference(modus_ponens,[status(thm)],[17046, 17045])).
% 49.24/32.34 tff(17048,plain,
% 49.24/32.34 (~v125(constB117)),
% 49.24/32.34 inference(unit_resolution,[status(thm)],[17047, 1031, 16968])).
% 49.24/32.34 tff(17049,plain,
% 49.24/32.34 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB117, bitIndex0) | (~v90(constB117, bitIndex1)) | (~v90(constB117, bitIndex2)) | v125(constB117))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB117, bitIndex0) | (~v90(constB117, bitIndex1)) | (~v90(constB117, bitIndex2)) | v125(constB117))),
% 49.24/32.34 inference(rewrite,[status(thm)],[])).
% 49.24/32.34 tff(17050,plain,
% 49.24/32.34 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB117, bitIndex0) | (~v90(constB117, bitIndex1)) | (~v90(constB117, bitIndex2)) | v125(constB117))),
% 49.24/32.34 inference(quant_inst,[status(thm)],[])).
% 49.24/32.34 tff(17051,plain,
% 49.24/32.34 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB117, bitIndex0) | (~v90(constB117, bitIndex1)) | (~v90(constB117, bitIndex2)) | v125(constB117)),
% 49.24/32.34 inference(modus_ponens,[status(thm)],[17050, 17049])).
% 49.24/32.34 tff(17052,plain,
% 49.24/32.34 ((~v90(constB117, bitIndex1)) | (~v90(constB117, bitIndex2)) | v125(constB117)),
% 49.24/32.34 inference(unit_resolution,[status(thm)],[17051, 1019, 16989])).
% 49.24/32.34 tff(17053,plain,
% 49.24/32.34 (~v90(constB117, bitIndex2)),
% 49.24/32.34 inference(unit_resolution,[status(thm)],[17052, 17044, 17048])).
% 49.24/32.34 tff(17054,plain,
% 49.24/32.34 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB117, bitIndex0) | (~v90(constB117, bitIndex1)) | v90(constB117, bitIndex2) | v121(constB117))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB117, bitIndex0) | (~v90(constB117, bitIndex1)) | v90(constB117, bitIndex2) | v121(constB117))),
% 49.24/32.34 inference(rewrite,[status(thm)],[])).
% 49.24/32.34 tff(17055,plain,
% 49.24/32.34 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB117, bitIndex0) | (~v90(constB117, bitIndex1)) | v90(constB117, bitIndex2) | v121(constB117))),
% 49.24/32.34 inference(quant_inst,[status(thm)],[])).
% 49.24/32.34 tff(17056,plain,
% 49.24/32.34 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB117, bitIndex0) | (~v90(constB117, bitIndex1)) | v90(constB117, bitIndex2) | v121(constB117)),
% 49.24/32.34 inference(modus_ponens,[status(thm)],[17055, 17054])).
% 49.24/32.34 tff(17057,plain,
% 49.24/32.34 ((~v90(constB117, bitIndex1)) | v90(constB117, bitIndex2) | v121(constB117)),
% 49.24/32.34 inference(unit_resolution,[status(thm)],[17056, 1551, 16989])).
% 49.24/32.34 tff(17058,plain,
% 49.24/32.34 ($false),
% 49.24/32.34 inference(unit_resolution,[status(thm)],[17057, 17053, 17044, 16976])).
% 49.24/32.34 tff(17059,plain,(v100(constB118) | v90(constB118, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 49.24/32.34 tff(17060,plain,
% 49.24/32.34 (v100(constB118)),
% 49.24/32.34 inference(unit_resolution,[status(thm)],[17059, 16962])).
% 49.24/32.34 tff(17061,plain,
% 49.24/32.34 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB117)) | (~v130(constB117, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB117)) | (~v130(constB117, bitIndex2)))),
% 49.24/32.34 inference(rewrite,[status(thm)],[])).
% 49.24/32.34 tff(17062,plain,
% 49.24/32.34 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB117)) | (~v130(constB117, bitIndex2)))),
% 49.24/32.34 inference(quant_inst,[status(thm)],[])).
% 49.24/32.34 tff(17063,plain,
% 49.24/32.34 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB117)) | (~v130(constB117, bitIndex2))),
% 49.24/32.34 inference(modus_ponens,[status(thm)],[17062, 17061])).
% 49.24/32.34 tff(17064,plain,
% 49.24/32.34 (~v130(constB117, bitIndex2)),
% 49.24/32.34 inference(unit_resolution,[status(thm)],[17063, 1383, 16853])).
% 49.24/32.34 tff(17065,plain,
% 49.24/32.34 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB117, bitIndex2)) | v26(constB117) | v130(constB117, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB117, bitIndex2)) | v26(constB117) | v130(constB117, bitIndex2))),
% 49.24/32.34 inference(rewrite,[status(thm)],[])).
% 49.24/32.34 tff(17066,plain,
% 49.24/32.34 ((v26(constB117) | v130(constB117, bitIndex2) | (~v127(constB117, bitIndex2))) <=> ((~v127(constB117, bitIndex2)) | v26(constB117) | v130(constB117, bitIndex2))),
% 49.24/32.34 inference(rewrite,[status(thm)],[])).
% 49.24/32.34 tff(17067,plain,
% 49.24/32.34 (((~![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)))) | ((~v127(constB117, bitIndex2)) | v26(constB117) | v130(constB117, bitIndex2)))),
% 49.24/32.34 inference(monotonicity,[status(thm)],[17066])).
% 49.24/32.34 tff(17068,plain,
% 49.24/32.34 (((~![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)))) | (~v127(constB117, bitIndex2)) | v26(constB117) | v130(constB117, bitIndex2))),
% 49.24/32.34 inference(transitivity,[status(thm)],[17067, 17065])).
% 49.24/32.34 tff(17069,plain,
% 49.24/32.34 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB117) | v130(constB117, bitIndex2) | (~v127(constB117, bitIndex2)))),
% 49.24/32.34 inference(quant_inst,[status(thm)],[])).
% 49.24/32.34 tff(17070,plain,
% 49.24/32.34 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB117, bitIndex2)) | v26(constB117) | v130(constB117, bitIndex2)),
% 49.24/32.34 inference(modus_ponens,[status(thm)],[17069, 17068])).
% 49.24/32.34 tff(17071,plain,
% 49.24/32.34 ((~v127(constB117, bitIndex2)) | v130(constB117, bitIndex2)),
% 49.24/32.34 inference(unit_resolution,[status(thm)],[17070, 1210, 16885])).
% 49.24/32.34 tff(17072,plain,
% 49.24/32.34 (~v127(constB117, bitIndex2)),
% 49.24/32.34 inference(unit_resolution,[status(thm)],[17071, 17064])).
% 49.24/32.34 tff(17073,plain,
% 49.24/32.34 (((~![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)))),
% 49.24/32.34 inference(rewrite,[status(thm)],[])).
% 49.24/32.34 tff(17074,plain,
% 49.24/32.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB117, constB118)) | v127(constB117, bitIndex2) | (~v129(constB118, bitIndex2)))),
% 49.24/32.34 inference(quant_inst,[status(thm)],[])).
% 49.24/32.34 tff(17075,plain,
% 49.24/32.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB117, constB118)) | v127(constB117, bitIndex2) | (~v129(constB118, bitIndex2))),
% 49.24/32.34 inference(modus_ponens,[status(thm)],[17074, 17073])).
% 49.24/32.34 tff(17076,plain,
% 49.24/32.34 (v127(constB117, bitIndex2) | (~v129(constB118, bitIndex2))),
% 49.24/32.34 inference(unit_resolution,[status(thm)],[17075, 1243, 16907])).
% 49.24/32.34 tff(17077,plain,
% 49.24/32.34 (~v129(constB118, bitIndex2)),
% 49.24/32.34 inference(unit_resolution,[status(thm)],[17076, 17072])).
% 49.24/32.34 tff(17078,plain,
% 49.24/32.34 (((~![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)))),
% 49.24/32.34 inference(rewrite,[status(thm)],[])).
% 49.24/32.34 tff(17079,plain,
% 49.24/32.34 (((~v90(constB118, bitIndex2)) | (~v100(constB118)) | v129(constB118, bitIndex2)) <=> ((~v90(constB118, bitIndex2)) | v129(constB118, bitIndex2) | (~v100(constB118)))),
% 49.24/32.34 inference(rewrite,[status(thm)],[])).
% 49.24/32.34 tff(17080,plain,
% 49.24/32.34 (((~![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))))),
% 49.24/32.34 inference(monotonicity,[status(thm)],[17079])).
% 49.24/32.34 tff(17081,plain,
% 49.24/32.34 (((~![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)))),
% 49.24/32.34 inference(transitivity,[status(thm)],[17080, 17078])).
% 49.24/32.34 tff(17082,plain,
% 49.24/32.34 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB118, bitIndex2)) | (~v100(constB118)) | v129(constB118, bitIndex2))),
% 49.24/32.34 inference(quant_inst,[status(thm)],[])).
% 49.24/32.34 tff(17083,plain,
% 49.24/32.34 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB118, bitIndex2)) | v129(constB118, bitIndex2) | (~v100(constB118))),
% 49.24/32.34 inference(modus_ponens,[status(thm)],[17082, 17081])).
% 49.24/32.34 tff(17084,plain,
% 49.24/32.34 ((~v90(constB118, bitIndex2)) | (~v100(constB118))),
% 49.24/32.34 inference(unit_resolution,[status(thm)],[17083, 1258, 17077])).
% 49.24/32.34 tff(17085,plain,
% 49.24/32.34 (~v90(constB118, bitIndex2)),
% 49.24/32.34 inference(unit_resolution,[status(thm)],[17084, 17060])).
% 49.24/32.34 tff(17086,plain,
% 49.24/32.34 ((~v1(constB119)) <=> (~v1(constB119))),
% 49.24/32.34 inference(rewrite,[status(thm)],[])).
% 49.24/32.34 tff(17087,axiom,(~v1(constB119)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_119_1_1')).
% 49.24/32.34 tff(17088,plain,
% 49.24/32.34 (~v1(constB119)),
% 49.24/32.34 inference(modus_ponens,[status(thm)],[17087, 17086])).
% 49.24/32.34 tff(17089,plain,
% 49.24/32.34 (nextState(constB118, constB119) <=> nextState(constB118, constB119)),
% 49.24/32.34 inference(rewrite,[status(thm)],[])).
% 49.24/32.34 tff(17090,axiom,(nextState(constB118, constB119)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_118_1')).
% 49.24/32.34 tff(17091,plain,
% 49.24/32.34 (nextState(constB118, constB119)),
% 49.24/32.34 inference(modus_ponens,[status(thm)],[17090, 17089])).
% 49.24/32.34 tff(17092,plain,
% 49.24/32.34 (((~![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)))),
% 49.24/32.34 inference(rewrite,[status(thm)],[])).
% 49.24/32.34 tff(17093,plain,
% 49.24/32.34 (((~nextState(constB118, constB119)) | (~v101(constB119)) | v1(constB119)) <=> (v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119)))),
% 49.24/32.34 inference(rewrite,[status(thm)],[])).
% 49.24/32.34 tff(17094,plain,
% 49.24/32.34 (((~![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))))),
% 49.24/32.34 inference(monotonicity,[status(thm)],[17093])).
% 49.24/32.34 tff(17095,plain,
% 49.24/32.34 (((~![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)))),
% 49.24/32.34 inference(transitivity,[status(thm)],[17094, 17092])).
% 49.24/32.34 tff(17096,plain,
% 49.24/32.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB118, constB119)) | (~v101(constB119)) | v1(constB119))),
% 49.24/32.34 inference(quant_inst,[status(thm)],[])).
% 49.24/32.34 tff(17097,plain,
% 49.24/32.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119))),
% 49.24/32.34 inference(modus_ponens,[status(thm)],[17096, 17095])).
% 49.24/32.34 tff(17098,plain,
% 49.24/32.34 (~v101(constB119)),
% 49.24/32.34 inference(unit_resolution,[status(thm)],[17097, 49, 17091, 17088])).
% 49.24/32.34 tff(17099,plain,
% 49.24/32.34 (((~![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)))),
% 49.24/32.34 inference(rewrite,[status(thm)],[])).
% 49.24/32.34 tff(17100,plain,
% 49.24/32.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB118, constB119)) | v101(constB119) | (~v100(constB119)))),
% 49.24/32.34 inference(quant_inst,[status(thm)],[])).
% 49.24/32.34 tff(17101,plain,
% 49.24/32.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB118, constB119)) | v101(constB119) | (~v100(constB119))),
% 49.24/32.34 inference(modus_ponens,[status(thm)],[17100, 17099])).
% 49.24/32.34 tff(17102,plain,
% 49.24/32.34 (v101(constB119) | (~v100(constB119))),
% 49.24/32.34 inference(unit_resolution,[status(thm)],[17101, 66, 17091])).
% 49.24/32.34 tff(17103,plain,
% 49.24/32.34 (~v100(constB119)),
% 49.24/32.34 inference(unit_resolution,[status(thm)],[17102, 17098])).
% 49.24/32.34 tff(17104,plain,
% 49.24/32.34 (((~![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)))),
% 49.24/32.34 inference(rewrite,[status(thm)],[])).
% 49.24/32.34 tff(17105,plain,
% 49.24/32.34 (((~nextState(constB118, constB119)) | v90(constB118, bitIndex2) | v100(constB119) | (~v90(constB119, bitIndex2))) <=> (v90(constB118, bitIndex2) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex2)))),
% 49.24/32.34 inference(rewrite,[status(thm)],[])).
% 49.24/32.34 tff(17106,plain,
% 49.24/32.34 (((~![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))))),
% 49.24/32.34 inference(monotonicity,[status(thm)],[17105])).
% 49.24/32.34 tff(17107,plain,
% 49.24/32.34 (((~![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)))),
% 49.24/32.34 inference(transitivity,[status(thm)],[17106, 17104])).
% 49.24/32.34 tff(17108,plain,
% 49.24/32.34 ((~![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)))),
% 49.24/32.34 inference(quant_inst,[status(thm)],[])).
% 49.24/32.34 tff(17109,plain,
% 49.24/32.34 ((~![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))),
% 49.24/32.34 inference(modus_ponens,[status(thm)],[17108, 17107])).
% 49.24/32.34 tff(17110,plain,
% 49.24/32.34 (v90(constB118, bitIndex2) | v100(constB119) | (~v90(constB119, bitIndex2))),
% 49.24/32.34 inference(unit_resolution,[status(thm)],[17109, 81, 17091])).
% 49.24/32.34 tff(17111,plain,
% 49.24/32.34 (v90(constB118, bitIndex2) | (~v90(constB119, bitIndex2))),
% 49.24/32.34 inference(unit_resolution,[status(thm)],[17110, 17103])).
% 49.24/32.34 tff(17112,plain,
% 49.24/32.34 (~v90(constB119, bitIndex2)),
% 49.24/32.34 inference(unit_resolution,[status(thm)],[17111, 17085])).
% 49.24/32.34 tff(17113,plain,
% 49.24/32.34 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB117)) | v130(constB117, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB117)) | v130(constB117, bitIndex1))),
% 49.24/32.34 inference(rewrite,[status(thm)],[])).
% 49.24/32.34 tff(17114,plain,
% 49.24/32.34 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB117)) | v130(constB117, bitIndex1))),
% 49.24/32.34 inference(quant_inst,[status(thm)],[])).
% 49.24/32.34 tff(17115,plain,
% 49.24/32.34 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB117)) | v130(constB117, bitIndex1)),
% 49.24/32.34 inference(modus_ponens,[status(thm)],[17114, 17113])).
% 49.24/32.34 tff(17116,plain,
% 49.24/32.34 (v130(constB117, bitIndex1)),
% 49.24/32.34 inference(unit_resolution,[status(thm)],[17115, 1450, 16853])).
% 49.24/32.34 tff(17117,plain,
% 49.24/32.34 (((~![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))) | v26(constB117) | (~v130(constB117, bitIndex1)) | v127(constB117, bitIndex1))),
% 49.24/32.34 inference(rewrite,[status(thm)],[])).
% 49.24/32.34 tff(17118,plain,
% 49.24/32.34 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB117) | (~v130(constB117, bitIndex1)) | v127(constB117, bitIndex1))),
% 49.24/32.34 inference(quant_inst,[status(thm)],[])).
% 49.24/32.34 tff(17119,plain,
% 49.24/32.34 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB117) | (~v130(constB117, bitIndex1)) | v127(constB117, bitIndex1)),
% 49.24/32.34 inference(modus_ponens,[status(thm)],[17118, 17117])).
% 49.24/32.34 tff(17120,plain,
% 49.24/32.34 ((~v130(constB117, bitIndex1)) | v127(constB117, bitIndex1)),
% 49.24/32.34 inference(unit_resolution,[status(thm)],[17119, 681, 16885])).
% 49.24/32.34 tff(17121,plain,
% 49.24/32.34 (v127(constB117, bitIndex1)),
% 49.24/32.34 inference(unit_resolution,[status(thm)],[17120, 17116])).
% 49.24/32.34 tff(17122,plain,
% 49.24/32.34 (((~![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))),
% 49.24/32.34 inference(rewrite,[status(thm)],[])).
% 49.24/32.34 tff(17123,plain,
% 49.24/32.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB117, constB118)) | (~v127(constB117, bitIndex1)) | v129(constB118, bitIndex1))),
% 49.24/32.34 inference(quant_inst,[status(thm)],[])).
% 49.24/32.34 tff(17124,plain,
% 49.24/32.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB117, constB118)) | (~v127(constB117, bitIndex1)) | v129(constB118, bitIndex1)),
% 49.24/32.34 inference(modus_ponens,[status(thm)],[17123, 17122])).
% 49.24/32.34 tff(17125,plain,
% 49.24/32.34 ((~v127(constB117, bitIndex1)) | v129(constB118, bitIndex1)),
% 49.24/32.34 inference(unit_resolution,[status(thm)],[17124, 696, 16907])).
% 49.24/32.34 tff(17126,plain,
% 49.24/32.34 (v129(constB118, bitIndex1)),
% 49.24/32.34 inference(unit_resolution,[status(thm)],[17125, 17121])).
% 49.24/32.34 tff(17127,plain,
% 49.24/32.34 (((~![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)))),
% 49.24/32.34 inference(rewrite,[status(thm)],[])).
% 49.24/32.34 tff(17128,plain,
% 49.24/32.34 ((v90(constB118, bitIndex1) | (~v100(constB118)) | (~v129(constB118, bitIndex1))) <=> (v90(constB118, bitIndex1) | (~v129(constB118, bitIndex1)) | (~v100(constB118)))),
% 49.24/32.34 inference(rewrite,[status(thm)],[])).
% 49.24/32.34 tff(17129,plain,
% 49.24/32.34 (((~![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))))),
% 49.24/32.34 inference(monotonicity,[status(thm)],[17128])).
% 49.24/32.34 tff(17130,plain,
% 49.24/32.34 (((~![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)))),
% 49.24/32.35 inference(transitivity,[status(thm)],[17129, 17127])).
% 49.24/32.35 tff(17131,plain,
% 49.24/32.35 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB118, bitIndex1) | (~v100(constB118)) | (~v129(constB118, bitIndex1)))),
% 49.24/32.35 inference(quant_inst,[status(thm)],[])).
% 49.24/32.35 tff(17132,plain,
% 49.24/32.35 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB118, bitIndex1) | (~v129(constB118, bitIndex1)) | (~v100(constB118))),
% 49.24/32.35 inference(modus_ponens,[status(thm)],[17131, 17130])).
% 49.24/32.35 tff(17133,plain,
% 49.24/32.35 (v90(constB118, bitIndex1) | (~v100(constB118))),
% 49.24/32.35 inference(unit_resolution,[status(thm)],[17132, 711, 17126])).
% 49.24/32.35 tff(17134,plain,
% 49.24/32.35 (v90(constB118, bitIndex1)),
% 49.24/32.35 inference(unit_resolution,[status(thm)],[17133, 17060])).
% 49.24/32.35 tff(17135,plain,
% 49.24/32.35 (((~![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))),
% 49.24/32.35 inference(rewrite,[status(thm)],[])).
% 49.24/32.35 tff(17136,plain,
% 49.24/32.35 (((~nextState(constB118, constB119)) | (~v90(constB118, bitIndex1)) | v100(constB119) | v90(constB119, bitIndex1)) <=> ((~v90(constB118, bitIndex1)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex1))),
% 49.24/32.35 inference(rewrite,[status(thm)],[])).
% 49.24/32.35 tff(17137,plain,
% 49.24/32.35 (((~![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)))),
% 49.24/32.35 inference(monotonicity,[status(thm)],[17136])).
% 49.24/32.35 tff(17138,plain,
% 49.24/32.35 (((~![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))),
% 49.24/32.35 inference(transitivity,[status(thm)],[17137, 17135])).
% 49.24/32.35 tff(17139,plain,
% 49.24/32.35 ((~![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))),
% 49.24/32.35 inference(quant_inst,[status(thm)],[])).
% 49.24/32.35 tff(17140,plain,
% 49.24/32.35 ((~![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)),
% 49.24/32.35 inference(modus_ponens,[status(thm)],[17139, 17138])).
% 49.24/32.35 tff(17141,plain,
% 49.24/32.35 ((~v90(constB118, bitIndex1)) | v100(constB119) | v90(constB119, bitIndex1)),
% 49.24/32.35 inference(unit_resolution,[status(thm)],[17140, 747, 17091])).
% 49.24/32.35 tff(17142,plain,
% 49.24/32.35 ((~v90(constB118, bitIndex1)) | v90(constB119, bitIndex1)),
% 49.24/32.35 inference(unit_resolution,[status(thm)],[17141, 17103])).
% 49.24/32.35 tff(17143,plain,
% 49.24/32.35 (v90(constB119, bitIndex1)),
% 49.24/32.35 inference(unit_resolution,[status(thm)],[17142, 17134])).
% 49.24/32.35 tff(17144,plain,
% 49.24/32.35 (((~![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)))),
% 49.24/32.35 inference(rewrite,[status(thm)],[])).
% 49.24/32.35 tff(17145,plain,
% 49.24/32.35 (((~nextState(constB118, constB119)) | v90(constB118, bitIndex0) | v100(constB119) | (~v90(constB119, bitIndex0))) <=> (v90(constB118, bitIndex0) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, bitIndex0)))),
% 49.24/32.35 inference(rewrite,[status(thm)],[])).
% 49.24/32.35 tff(17146,plain,
% 49.24/32.35 (((~![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))))),
% 49.24/32.35 inference(monotonicity,[status(thm)],[17145])).
% 49.24/32.35 tff(17147,plain,
% 49.24/32.35 (((~![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)))),
% 49.24/32.35 inference(transitivity,[status(thm)],[17146, 17144])).
% 49.24/32.35 tff(17148,plain,
% 49.24/32.35 ((~![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)))),
% 49.24/32.35 inference(quant_inst,[status(thm)],[])).
% 49.24/32.35 tff(17149,plain,
% 49.24/32.35 ((~![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))),
% 49.24/32.35 inference(modus_ponens,[status(thm)],[17148, 17147])).
% 49.24/32.35 tff(17150,plain,
% 49.24/32.35 (v90(constB118, bitIndex0) | v100(constB119) | (~v90(constB119, bitIndex0))),
% 49.24/32.35 inference(unit_resolution,[status(thm)],[17149, 123, 17091])).
% 49.24/32.35 tff(17151,plain,
% 49.24/32.35 (v90(constB118, bitIndex0) | (~v90(constB119, bitIndex0))),
% 49.24/32.35 inference(unit_resolution,[status(thm)],[17150, 17103])).
% 49.24/32.35 tff(17152,plain,
% 49.24/32.35 (~v90(constB119, bitIndex0)),
% 49.24/32.35 inference(unit_resolution,[status(thm)],[17151, 16962])).
% 49.24/32.35 tff(17153,plain,
% 49.24/32.35 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB119, bitIndex0) | (~v90(constB119, bitIndex1)) | v90(constB119, bitIndex2) | v121(constB119))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB119, bitIndex0) | (~v90(constB119, bitIndex1)) | v90(constB119, bitIndex2) | v121(constB119))),
% 49.24/32.35 inference(rewrite,[status(thm)],[])).
% 49.24/32.35 tff(17154,plain,
% 49.24/32.35 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB119, bitIndex0) | (~v90(constB119, bitIndex1)) | v90(constB119, bitIndex2) | v121(constB119))),
% 49.24/32.35 inference(quant_inst,[status(thm)],[])).
% 49.24/32.35 tff(17155,plain,
% 49.24/32.35 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB119, bitIndex0) | (~v90(constB119, bitIndex1)) | v90(constB119, bitIndex2) | v121(constB119)),
% 49.24/32.35 inference(modus_ponens,[status(thm)],[17154, 17153])).
% 49.24/32.35 tff(17156,plain,
% 49.24/32.35 (v121(constB119)),
% 49.24/32.35 inference(unit_resolution,[status(thm)],[17155, 1551, 17152, 17143, 17112])).
% 49.24/32.35 tff(17157,plain,
% 49.24/32.35 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB119) | (~v121(constB119)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB119) | (~v121(constB119)))),
% 49.24/32.35 inference(rewrite,[status(thm)],[])).
% 49.24/32.35 tff(17158,plain,
% 49.24/32.35 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB119) | (~v121(constB119)))),
% 49.24/32.35 inference(quant_inst,[status(thm)],[])).
% 49.24/32.35 tff(17159,plain,
% 49.24/32.35 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB119) | (~v121(constB119))),
% 49.24/32.35 inference(modus_ponens,[status(thm)],[17158, 17157])).
% 49.24/32.35 tff(17160,plain,
% 49.24/32.35 (v117(constB119)),
% 49.24/32.35 inference(unit_resolution,[status(thm)],[17159, 1562, 17156])).
% 49.24/32.35 tff(17161,plain,
% 49.24/32.35 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB119) | (~v117(constB119)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB119) | (~v117(constB119)))),
% 49.24/32.35 inference(rewrite,[status(thm)],[])).
% 49.24/32.35 tff(17162,plain,
% 49.24/32.35 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB119) | (~v117(constB119)))),
% 49.24/32.35 inference(quant_inst,[status(thm)],[])).
% 49.24/32.35 tff(17163,plain,
% 49.24/32.35 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB119) | (~v117(constB119))),
% 49.24/32.35 inference(modus_ponens,[status(thm)],[17162, 17161])).
% 49.24/32.35 tff(17164,plain,
% 49.24/32.35 (v116(constB119)),
% 49.24/32.35 inference(unit_resolution,[status(thm)],[17163, 177, 17160])).
% 49.24/32.35 tff(17165,plain,
% 49.24/32.35 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB119) | (~v116(constB119)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB119) | (~v116(constB119)))),
% 49.24/32.35 inference(rewrite,[status(thm)],[])).
% 49.24/32.35 tff(17166,plain,
% 49.24/32.35 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB119) | (~v116(constB119)))),
% 49.24/32.35 inference(quant_inst,[status(thm)],[])).
% 49.24/32.35 tff(17167,plain,
% 49.24/32.35 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB119) | (~v116(constB119))),
% 49.24/32.35 inference(modus_ponens,[status(thm)],[17166, 17165])).
% 49.24/32.35 tff(17168,plain,
% 49.24/32.35 (v115(constB119)),
% 49.24/32.35 inference(unit_resolution,[status(thm)],[17167, 188, 17164])).
% 49.24/32.35 tff(17169,plain,
% 49.24/32.35 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB119) | (~v115(constB119)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB119) | (~v115(constB119)))),
% 49.24/32.35 inference(rewrite,[status(thm)],[])).
% 49.24/32.35 tff(17170,plain,
% 49.24/32.35 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB119) | (~v115(constB119)))),
% 49.24/32.35 inference(quant_inst,[status(thm)],[])).
% 49.24/32.35 tff(17171,plain,
% 49.24/32.35 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB119) | (~v115(constB119))),
% 49.24/32.35 inference(modus_ponens,[status(thm)],[17170, 17169])).
% 49.24/32.35 tff(17172,plain,
% 49.24/32.35 (v114(constB119)),
% 49.24/32.35 inference(unit_resolution,[status(thm)],[17171, 199, 17168])).
% 49.24/32.35 tff(17173,plain,
% 49.24/32.35 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB119) | (~v114(constB119)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB119) | (~v114(constB119)))),
% 49.24/32.35 inference(rewrite,[status(thm)],[])).
% 49.24/32.35 tff(17174,plain,
% 49.24/32.35 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB119) | (~v114(constB119)))),
% 49.24/32.35 inference(quant_inst,[status(thm)],[])).
% 49.24/32.35 tff(17175,plain,
% 49.24/32.35 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB119) | (~v114(constB119))),
% 49.24/32.35 inference(modus_ponens,[status(thm)],[17174, 17173])).
% 49.24/32.35 tff(17176,plain,
% 49.24/32.35 (v113(constB119)),
% 49.24/32.35 inference(unit_resolution,[status(thm)],[17175, 210, 17172])).
% 49.24/32.35 tff(17177,assumption,(v26(constB119)), introduced(assumption)).
% 49.24/32.35 tff(17178,plain,
% 49.24/32.35 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB119))),
% 49.24/32.35 inference(quant_inst,[status(thm)],[])).
% 49.24/32.35 tff(17179,plain,
% 49.24/32.35 ($false),
% 49.24/32.35 inference(unit_resolution,[status(thm)],[17178, 16, 17177])).
% 49.24/32.35 tff(17180,plain,(~v26(constB119)), inference(lemma,lemma(discharge,[]))).
% 49.24/32.35 tff(17181,plain,
% 49.24/32.35 (((~![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))),
% 49.24/32.35 inference(rewrite,[status(thm)],[])).
% 49.24/32.35 tff(17182,plain,
% 49.24/32.35 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB119) | (~v113(constB119)) | v112(constB119))),
% 49.24/32.35 inference(quant_inst,[status(thm)],[])).
% 49.24/32.35 tff(17183,plain,
% 49.24/32.35 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB119) | (~v113(constB119)) | v112(constB119)),
% 49.24/32.35 inference(modus_ponens,[status(thm)],[17182, 17181])).
% 49.24/32.35 tff(17184,plain,
% 49.24/32.35 ((~v113(constB119)) | v112(constB119)),
% 49.24/32.35 inference(unit_resolution,[status(thm)],[17183, 224, 17180])).
% 49.24/32.35 tff(17185,plain,
% 49.24/32.35 (v112(constB119)),
% 49.24/32.35 inference(unit_resolution,[status(thm)],[17184, 17176])).
% 49.24/32.35 tff(17186,plain,
% 49.24/32.35 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB119) | (~v112(constB119)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB119) | (~v112(constB119)))),
% 49.24/32.35 inference(rewrite,[status(thm)],[])).
% 49.24/32.35 tff(17187,plain,
% 49.24/32.35 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB119) | (~v112(constB119)))),
% 49.24/32.35 inference(quant_inst,[status(thm)],[])).
% 49.24/32.35 tff(17188,plain,
% 49.24/32.35 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB119) | (~v112(constB119))),
% 49.24/32.35 inference(modus_ponens,[status(thm)],[17187, 17186])).
% 49.24/32.35 tff(17189,plain,
% 49.24/32.35 (v108(constB119)),
% 49.24/32.35 inference(unit_resolution,[status(thm)],[17188, 236, 17185])).
% 49.24/32.35 tff(17190,plain,
% 49.24/32.35 (nextState(constB119, constB120) <=> nextState(constB119, constB120)),
% 49.24/32.35 inference(rewrite,[status(thm)],[])).
% 49.24/32.35 tff(17191,axiom,(nextState(constB119, constB120)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_119_1')).
% 49.24/32.35 tff(17192,plain,
% 49.24/32.35 (nextState(constB119, constB120)),
% 49.24/32.35 inference(modus_ponens,[status(thm)],[17191, 17190])).
% 49.24/32.35 tff(17193,plain,
% 49.24/32.35 (((~![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)))),
% 49.24/32.35 inference(rewrite,[status(thm)],[])).
% 49.24/32.35 tff(17194,plain,
% 49.24/32.35 (((~nextState(constB119, constB120)) | (~v108(constB119)) | v110(constB120)) <=> ((~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119)))),
% 49.24/32.35 inference(rewrite,[status(thm)],[])).
% 49.24/32.35 tff(17195,plain,
% 49.24/32.35 (((~![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))))),
% 49.24/32.35 inference(monotonicity,[status(thm)],[17194])).
% 49.24/32.35 tff(17196,plain,
% 49.24/32.35 (((~![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)))),
% 49.24/32.35 inference(transitivity,[status(thm)],[17195, 17193])).
% 49.24/32.35 tff(17197,plain,
% 49.24/32.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB119, constB120)) | (~v108(constB119)) | v110(constB120))),
% 49.24/32.35 inference(quant_inst,[status(thm)],[])).
% 49.24/32.35 tff(17198,plain,
% 49.24/32.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119))),
% 49.24/32.35 inference(modus_ponens,[status(thm)],[17197, 17196])).
% 49.24/32.35 tff(17199,plain,
% 49.24/32.35 (v110(constB120) | (~v108(constB119))),
% 49.24/32.35 inference(unit_resolution,[status(thm)],[17198, 253, 17192])).
% 49.24/32.35 tff(17200,plain,
% 49.24/32.35 (v110(constB120)),
% 49.24/32.35 inference(unit_resolution,[status(thm)],[17199, 17189])).
% 49.24/32.35 tff(17201,plain,
% 49.24/32.35 (((~![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)))),
% 49.24/32.35 inference(rewrite,[status(thm)],[])).
% 49.24/32.35 tff(17202,plain,
% 49.24/32.35 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB119) | (~nextState(constB119, constB120)) | (~v104(constB120)))),
% 49.24/32.35 inference(quant_inst,[status(thm)],[])).
% 49.24/32.35 tff(17203,plain,
% 49.24/32.35 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB119) | (~nextState(constB119, constB120)) | (~v104(constB120))),
% 49.24/32.35 inference(modus_ponens,[status(thm)],[17202, 17201])).
% 49.24/32.35 tff(17204,plain,
% 49.24/32.35 (~v104(constB120)),
% 49.24/32.35 inference(unit_resolution,[status(thm)],[17203, 271, 17192, 17088])).
% 49.24/32.35 tff(17205,plain,
% 49.24/32.35 (((~![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))),
% 49.24/32.35 inference(rewrite,[status(thm)],[])).
% 49.24/32.35 tff(17206,plain,
% 49.24/32.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB119, constB120)) | v102(constB120) | v104(constB120))),
% 49.24/32.35 inference(quant_inst,[status(thm)],[])).
% 49.24/32.35 tff(17207,plain,
% 49.24/32.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB119, constB120)) | v102(constB120) | v104(constB120)),
% 49.24/32.35 inference(modus_ponens,[status(thm)],[17206, 17205])).
% 49.24/32.35 tff(17208,plain,
% 49.24/32.35 (v102(constB120) | v104(constB120)),
% 49.24/32.35 inference(unit_resolution,[status(thm)],[17207, 285, 17192])).
% 49.24/32.35 tff(17209,plain,
% 49.24/32.35 (v102(constB120)),
% 49.24/32.35 inference(unit_resolution,[status(thm)],[17208, 17204])).
% 49.24/32.35 tff(17210,plain,
% 49.24/32.35 (v1(constB120) <=> v1(constB120)),
% 49.24/32.35 inference(rewrite,[status(thm)],[])).
% 49.24/32.35 tff(17211,axiom,(v1(constB120)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_120_1')).
% 49.24/32.35 tff(17212,plain,
% 49.24/32.35 (v1(constB120)),
% 49.24/32.35 inference(modus_ponens,[status(thm)],[17211, 17210])).
% 49.24/32.35 tff(17213,plain,
% 49.24/32.35 (((~![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)))),
% 49.24/32.35 inference(rewrite,[status(thm)],[])).
% 49.24/32.35 tff(17214,plain,
% 49.24/32.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB119, constB120)) | v101(constB120) | (~v102(constB120)) | (~v1(constB120)))),
% 49.24/32.35 inference(quant_inst,[status(thm)],[])).
% 49.24/32.35 tff(17215,plain,
% 49.24/32.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB119, constB120)) | v101(constB120) | (~v102(constB120)) | (~v1(constB120))),
% 49.24/32.35 inference(modus_ponens,[status(thm)],[17214, 17213])).
% 49.24/32.35 tff(17216,plain,
% 49.24/32.35 (v101(constB120) | (~v102(constB120))),
% 49.24/32.35 inference(unit_resolution,[status(thm)],[17215, 303, 17192, 17212])).
% 49.24/32.35 tff(17217,plain,
% 49.24/32.35 (v101(constB120)),
% 49.24/32.35 inference(unit_resolution,[status(thm)],[17216, 17209])).
% 49.24/32.35 tff(17218,plain,
% 49.24/32.35 (((~![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)))),
% 49.24/32.35 inference(rewrite,[status(thm)],[])).
% 49.24/32.35 tff(17219,plain,
% 49.24/32.35 (((~nextState(constB119, constB120)) | (~v101(constB120)) | (~v110(constB120)) | v100(constB120)) <=> ((~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120)))),
% 49.24/32.35 inference(rewrite,[status(thm)],[])).
% 49.24/32.35 tff(17220,plain,
% 49.24/32.35 (((~![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))))),
% 49.24/32.35 inference(monotonicity,[status(thm)],[17219])).
% 49.24/32.35 tff(17221,plain,
% 49.24/32.35 (((~![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)))),
% 49.24/32.35 inference(transitivity,[status(thm)],[17220, 17218])).
% 49.24/32.35 tff(17222,plain,
% 49.24/32.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB119, constB120)) | (~v101(constB120)) | (~v110(constB120)) | v100(constB120))),
% 49.24/32.35 inference(quant_inst,[status(thm)],[])).
% 49.24/32.35 tff(17223,plain,
% 49.24/32.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120))),
% 49.24/32.35 inference(modus_ponens,[status(thm)],[17222, 17221])).
% 49.24/32.35 tff(17224,plain,
% 49.24/32.35 (v100(constB120) | (~v101(constB120)) | (~v110(constB120))),
% 49.24/32.35 inference(unit_resolution,[status(thm)],[17223, 318, 17192])).
% 49.24/32.35 tff(17225,plain,
% 49.24/32.35 (v100(constB120) | (~v110(constB120))),
% 49.24/32.35 inference(unit_resolution,[status(thm)],[17224, 17217])).
% 49.24/32.35 tff(17226,plain,
% 49.24/32.35 (v100(constB120)),
% 49.24/32.35 inference(unit_resolution,[status(thm)],[17225, 17200])).
% 49.24/32.35 tff(17227,plain,
% 49.24/32.35 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB119, bitIndex1)) | (~v123(constB119)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB119, bitIndex1)) | (~v123(constB119)))),
% 49.24/32.35 inference(rewrite,[status(thm)],[])).
% 49.24/32.35 tff(17228,plain,
% 49.24/32.35 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB119, bitIndex1)) | (~v123(constB119)))),
% 49.24/32.35 inference(quant_inst,[status(thm)],[])).
% 49.24/32.35 tff(17229,plain,
% 49.24/32.35 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB119, bitIndex1)) | (~v123(constB119))),
% 49.24/32.35 inference(modus_ponens,[status(thm)],[17228, 17227])).
% 49.24/32.35 tff(17230,plain,
% 49.24/32.35 (~v123(constB119)),
% 49.24/32.35 inference(unit_resolution,[status(thm)],[17229, 774, 17143])).
% 49.24/32.35 tff(17231,assumption,(~v90(constB119, bitIndex0)), introduced(assumption)).
% 49.24/32.35 tff(17232,plain,
% 49.24/32.35 (((~![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))),
% 49.24/32.35 inference(rewrite,[status(thm)],[])).
% 49.24/32.35 tff(17233,plain,
% 49.24/32.35 (((~nextState(constB118, constB119)) | (~v90(constB118, bitIndex0)) | v100(constB119) | v90(constB119, bitIndex0)) <=> ((~v90(constB118, bitIndex0)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex0))),
% 49.24/32.35 inference(rewrite,[status(thm)],[])).
% 49.24/32.35 tff(17234,plain,
% 49.24/32.35 (((~![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)))),
% 49.24/32.35 inference(monotonicity,[status(thm)],[17233])).
% 49.24/32.35 tff(17235,plain,
% 49.24/32.35 (((~![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))),
% 49.24/32.35 inference(transitivity,[status(thm)],[17234, 17232])).
% 49.24/32.35 tff(17236,plain,
% 49.24/32.35 ((~![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))),
% 49.24/32.35 inference(quant_inst,[status(thm)],[])).
% 49.24/32.35 tff(17237,plain,
% 49.24/32.35 ((~![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)),
% 49.24/32.35 inference(modus_ponens,[status(thm)],[17236, 17235])).
% 49.24/32.35 tff(17238,plain,
% 49.24/32.35 ((~v90(constB118, bitIndex0)) | v100(constB119) | v90(constB119, bitIndex0)),
% 49.24/32.35 inference(unit_resolution,[status(thm)],[17237, 1124, 17091])).
% 49.24/32.35 tff(17239,plain,
% 49.24/32.35 ((~v90(constB118, bitIndex0)) | v90(constB119, bitIndex0)),
% 49.24/32.35 inference(unit_resolution,[status(thm)],[17238, 17103])).
% 49.24/32.35 tff(17240,plain,
% 49.24/32.35 (~v90(constB118, bitIndex0)),
% 49.24/32.35 inference(unit_resolution,[status(thm)],[17239, 17231])).
% 49.24/32.35 tff(17241,plain,
% 49.24/32.35 (v100(constB118)),
% 49.24/32.35 inference(unit_resolution,[status(thm)],[17059, 17240])).
% 49.24/32.35 tff(17242,plain,
% 49.24/32.35 (((~![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)))),
% 49.24/32.35 inference(rewrite,[status(thm)],[])).
% 49.24/32.35 tff(17243,plain,
% 49.24/32.35 ((v90(constB118, bitIndex0) | (~v100(constB118)) | (~v129(constB118, bitIndex0))) <=> (v90(constB118, bitIndex0) | (~v129(constB118, bitIndex0)) | (~v100(constB118)))),
% 49.24/32.35 inference(rewrite,[status(thm)],[])).
% 49.24/32.35 tff(17244,plain,
% 49.24/32.35 (((~![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))))),
% 49.24/32.35 inference(monotonicity,[status(thm)],[17243])).
% 49.24/32.35 tff(17245,plain,
% 49.24/32.35 (((~![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)))),
% 49.24/32.35 inference(transitivity,[status(thm)],[17244, 17242])).
% 49.24/32.35 tff(17246,plain,
% 49.24/32.35 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB118, bitIndex0) | (~v100(constB118)) | (~v129(constB118, bitIndex0)))),
% 49.24/32.35 inference(quant_inst,[status(thm)],[])).
% 49.24/32.35 tff(17247,plain,
% 49.24/32.35 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB118, bitIndex0) | (~v129(constB118, bitIndex0)) | (~v100(constB118))),
% 49.24/32.35 inference(modus_ponens,[status(thm)],[17246, 17245])).
% 49.24/32.35 tff(17248,plain,
% 49.24/32.35 (~v129(constB118, bitIndex0)),
% 49.24/32.35 inference(unit_resolution,[status(thm)],[17247, 1088, 17241, 17240])).
% 49.24/32.35 tff(17249,plain,
% 49.24/32.35 (((~![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))),
% 49.24/32.35 inference(rewrite,[status(thm)],[])).
% 49.24/32.35 tff(17250,plain,
% 49.24/32.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB117, constB118)) | (~v127(constB117, bitIndex0)) | v129(constB118, bitIndex0))),
% 49.24/32.35 inference(quant_inst,[status(thm)],[])).
% 49.24/32.35 tff(17251,plain,
% 49.24/32.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB117, constB118)) | (~v127(constB117, bitIndex0)) | v129(constB118, bitIndex0)),
% 49.24/32.35 inference(modus_ponens,[status(thm)],[17250, 17249])).
% 49.24/32.35 tff(17252,plain,
% 49.24/32.35 ((~v127(constB117, bitIndex0)) | v129(constB118, bitIndex0)),
% 49.24/32.35 inference(unit_resolution,[status(thm)],[17251, 944, 16907])).
% 49.24/32.35 tff(17253,plain,
% 49.24/32.35 (~v127(constB117, bitIndex0)),
% 49.24/32.35 inference(unit_resolution,[status(thm)],[17252, 17248])).
% 49.24/32.35 tff(17254,plain,
% 49.24/32.35 (((~![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))),
% 49.24/32.35 inference(rewrite,[status(thm)],[])).
% 49.24/32.35 tff(17255,plain,
% 49.24/32.35 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB117) | (~v130(constB117, bitIndex0)) | v127(constB117, bitIndex0))),
% 49.24/32.35 inference(quant_inst,[status(thm)],[])).
% 49.24/32.35 tff(17256,plain,
% 49.24/32.35 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB117) | (~v130(constB117, bitIndex0)) | v127(constB117, bitIndex0)),
% 49.24/32.35 inference(modus_ponens,[status(thm)],[17255, 17254])).
% 49.24/32.35 tff(17257,plain,
% 49.24/32.35 ((~v130(constB117, bitIndex0)) | v127(constB117, bitIndex0)),
% 49.24/32.35 inference(unit_resolution,[status(thm)],[17256, 926, 16885])).
% 49.24/32.35 tff(17258,plain,
% 49.24/32.35 (~v130(constB117, bitIndex0)),
% 49.24/32.35 inference(unit_resolution,[status(thm)],[17257, 17253])).
% 49.24/32.35 tff(17259,plain,
% 49.24/32.35 (~v124(constB117)),
% 49.24/32.35 inference(unit_resolution,[status(thm)],[16980, 3020, 17258])).
% 49.24/32.35 tff(17260,assumption,(v130(constB119, bitIndex2)), introduced(assumption)).
% 49.24/32.35 tff(17261,plain,
% 49.24/32.35 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB119)) | (~v130(constB119, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB119)) | (~v130(constB119, bitIndex2)))),
% 49.24/32.35 inference(rewrite,[status(thm)],[])).
% 49.24/32.35 tff(17262,plain,
% 49.24/32.35 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB119)) | (~v130(constB119, bitIndex2)))),
% 49.24/32.35 inference(quant_inst,[status(thm)],[])).
% 49.24/32.35 tff(17263,plain,
% 49.24/32.35 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB119)) | (~v130(constB119, bitIndex2))),
% 49.24/32.35 inference(modus_ponens,[status(thm)],[17262, 17261])).
% 49.24/32.35 tff(17264,plain,
% 49.24/32.35 (~v121(constB119)),
% 49.24/32.35 inference(unit_resolution,[status(thm)],[17263, 1645, 17260])).
% 49.24/32.35 tff(17265,assumption,(~v123(constB119)), introduced(assumption)).
% 49.24/32.35 tff(17266,plain,
% 49.24/32.35 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB119)) | (~v130(constB119, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB119)) | (~v130(constB119, bitIndex2)))),
% 49.24/32.35 inference(rewrite,[status(thm)],[])).
% 49.24/32.35 tff(17267,plain,
% 49.24/32.35 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB119)) | (~v130(constB119, bitIndex2)))),
% 49.24/32.35 inference(quant_inst,[status(thm)],[])).
% 49.24/32.35 tff(17268,plain,
% 49.24/32.35 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB119)) | (~v130(constB119, bitIndex2))),
% 49.24/32.35 inference(modus_ponens,[status(thm)],[17267, 17266])).
% 49.24/32.35 tff(17269,plain,
% 49.24/32.35 (~v124(constB119)),
% 49.24/32.35 inference(unit_resolution,[status(thm)],[17268, 2853, 17260])).
% 49.24/32.35 tff(17270,plain,
% 49.24/32.35 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB119)) | (~v130(constB119, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB119)) | (~v130(constB119, bitIndex2)))),
% 49.24/32.35 inference(rewrite,[status(thm)],[])).
% 49.24/32.35 tff(17271,plain,
% 49.24/32.35 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB119)) | (~v130(constB119, bitIndex2)))),
% 49.24/32.35 inference(quant_inst,[status(thm)],[])).
% 49.24/32.35 tff(17272,plain,
% 49.24/32.35 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB119)) | (~v130(constB119, bitIndex2))),
% 49.24/32.35 inference(modus_ponens,[status(thm)],[17271, 17270])).
% 49.24/32.35 tff(17273,plain,
% 49.24/32.35 (~v120(constB119)),
% 49.24/32.35 inference(unit_resolution,[status(thm)],[17272, 1383, 17260])).
% 49.24/32.35 tff(17274,plain,
% 49.24/32.35 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB119, bitIndex0) | (~v122(constB119)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB119, bitIndex0) | (~v122(constB119)))),
% 49.24/32.35 inference(rewrite,[status(thm)],[])).
% 49.24/32.35 tff(17275,plain,
% 49.24/32.35 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB119, bitIndex0) | (~v122(constB119)))),
% 49.24/32.35 inference(quant_inst,[status(thm)],[])).
% 49.24/32.35 tff(17276,plain,
% 49.24/32.35 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB119, bitIndex0) | (~v122(constB119))),
% 49.24/32.35 inference(modus_ponens,[status(thm)],[17275, 17274])).
% 49.24/32.35 tff(17277,plain,
% 49.24/32.35 (~v122(constB119)),
% 49.24/32.35 inference(unit_resolution,[status(thm)],[17276, 2921, 17231])).
% 49.24/32.35 tff(17278,plain,
% 49.24/32.35 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB119) | v123(constB119) | v122(constB119) | v121(constB119) | v120(constB119) | v119(constB119) | (~v130(constB119, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB119) | v123(constB119) | v122(constB119) | v121(constB119) | v120(constB119) | v119(constB119) | (~v130(constB119, bitIndex2)))),
% 49.24/32.35 inference(rewrite,[status(thm)],[])).
% 49.24/32.35 tff(17279,plain,
% 49.24/32.35 ((v120(constB119) | v119(constB119) | v121(constB119) | v122(constB119) | v123(constB119) | v124(constB119) | (~v130(constB119, bitIndex2))) <=> (v124(constB119) | v123(constB119) | v122(constB119) | v121(constB119) | v120(constB119) | v119(constB119) | (~v130(constB119, bitIndex2)))),
% 49.24/32.35 inference(rewrite,[status(thm)],[])).
% 49.24/32.35 tff(17280,plain,
% 49.24/32.35 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB119) | v119(constB119) | v121(constB119) | v122(constB119) | v123(constB119) | v124(constB119) | (~v130(constB119, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB119) | v123(constB119) | v122(constB119) | v121(constB119) | v120(constB119) | v119(constB119) | (~v130(constB119, bitIndex2))))),
% 49.24/32.36 inference(monotonicity,[status(thm)],[17279])).
% 49.24/32.36 tff(17281,plain,
% 49.24/32.36 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB119) | v119(constB119) | v121(constB119) | v122(constB119) | v123(constB119) | v124(constB119) | (~v130(constB119, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB119) | v123(constB119) | v122(constB119) | v121(constB119) | v120(constB119) | v119(constB119) | (~v130(constB119, bitIndex2)))),
% 49.24/32.36 inference(transitivity,[status(thm)],[17280, 17278])).
% 49.24/32.36 tff(17282,plain,
% 49.24/32.36 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB119) | v119(constB119) | v121(constB119) | v122(constB119) | v123(constB119) | v124(constB119) | (~v130(constB119, bitIndex2)))),
% 49.24/32.36 inference(quant_inst,[status(thm)],[])).
% 49.24/32.36 tff(17283,plain,
% 49.24/32.36 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB119) | v123(constB119) | v122(constB119) | v121(constB119) | v120(constB119) | v119(constB119) | (~v130(constB119, bitIndex2))),
% 49.24/32.36 inference(modus_ponens,[status(thm)],[17282, 17281])).
% 49.24/32.36 tff(17284,plain,
% 49.24/32.36 (v124(constB119) | v123(constB119) | v122(constB119) | v121(constB119) | v120(constB119) | v119(constB119)),
% 49.24/32.36 inference(unit_resolution,[status(thm)],[17283, 1192, 17260])).
% 49.24/32.36 tff(17285,plain,
% 49.24/32.36 (v119(constB119)),
% 49.24/32.36 inference(unit_resolution,[status(thm)],[17284, 17277, 17273, 17269, 17265, 17264])).
% 49.24/32.36 tff(17286,plain,
% 49.24/32.36 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB119)) | (~v90(constB119, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB119)) | (~v90(constB119, bitIndex2)))),
% 49.24/32.36 inference(rewrite,[status(thm)],[])).
% 49.24/32.36 tff(17287,plain,
% 49.24/32.36 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB119)) | (~v90(constB119, bitIndex2)))),
% 49.24/32.36 inference(quant_inst,[status(thm)],[])).
% 49.24/32.36 tff(17288,plain,
% 49.24/32.36 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB119)) | (~v90(constB119, bitIndex2))),
% 49.24/32.36 inference(modus_ponens,[status(thm)],[17287, 17286])).
% 49.24/32.36 tff(17289,plain,
% 49.24/32.36 (~v90(constB119, bitIndex2)),
% 49.24/32.36 inference(unit_resolution,[status(thm)],[17288, 861, 17285])).
% 49.24/32.36 tff(17290,plain,
% 49.24/32.36 (((~![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))),
% 49.24/32.36 inference(rewrite,[status(thm)],[])).
% 49.24/32.36 tff(17291,plain,
% 49.24/32.36 (((~nextState(constB118, constB119)) | (~v90(constB118, bitIndex2)) | v100(constB119) | v90(constB119, bitIndex2)) <=> ((~v90(constB118, bitIndex2)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, bitIndex2))),
% 49.24/32.36 inference(rewrite,[status(thm)],[])).
% 49.24/32.36 tff(17292,plain,
% 49.24/32.36 (((~![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)))),
% 49.24/32.36 inference(monotonicity,[status(thm)],[17291])).
% 49.24/32.36 tff(17293,plain,
% 49.24/32.36 (((~![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))),
% 49.24/32.36 inference(transitivity,[status(thm)],[17292, 17290])).
% 49.24/32.36 tff(17294,plain,
% 49.24/32.36 ((~![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))),
% 49.24/32.36 inference(quant_inst,[status(thm)],[])).
% 49.24/32.36 tff(17295,plain,
% 49.24/32.36 ((~![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)),
% 49.24/32.36 inference(modus_ponens,[status(thm)],[17294, 17293])).
% 49.24/32.36 tff(17296,plain,
% 49.24/32.36 ((~v90(constB118, bitIndex2)) | v100(constB119) | v90(constB119, bitIndex2)),
% 49.24/32.36 inference(unit_resolution,[status(thm)],[17295, 417, 17091])).
% 49.24/32.36 tff(17297,plain,
% 49.24/32.36 ((~v90(constB118, bitIndex2)) | v90(constB119, bitIndex2)),
% 49.24/32.36 inference(unit_resolution,[status(thm)],[17296, 17103])).
% 49.24/32.36 tff(17298,plain,
% 49.24/32.36 (~v90(constB118, bitIndex2)),
% 49.24/32.36 inference(unit_resolution,[status(thm)],[17297, 17289])).
% 49.24/32.36 tff(17299,plain,
% 49.24/32.36 (((~![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)))),
% 49.24/32.36 inference(rewrite,[status(thm)],[])).
% 49.24/32.36 tff(17300,plain,
% 49.24/32.36 ((v90(constB118, bitIndex2) | (~v100(constB118)) | (~v129(constB118, bitIndex2))) <=> (v90(constB118, bitIndex2) | (~v129(constB118, bitIndex2)) | (~v100(constB118)))),
% 49.24/32.36 inference(rewrite,[status(thm)],[])).
% 49.24/32.36 tff(17301,plain,
% 49.24/32.36 (((~![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))))),
% 49.24/32.36 inference(monotonicity,[status(thm)],[17300])).
% 49.24/32.36 tff(17302,plain,
% 49.24/32.36 (((~![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)))),
% 49.24/32.36 inference(transitivity,[status(thm)],[17301, 17299])).
% 49.24/32.36 tff(17303,plain,
% 49.24/32.36 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB118, bitIndex2) | (~v100(constB118)) | (~v129(constB118, bitIndex2)))),
% 49.24/32.36 inference(quant_inst,[status(thm)],[])).
% 49.24/32.36 tff(17304,plain,
% 49.24/32.36 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB118, bitIndex2) | (~v129(constB118, bitIndex2)) | (~v100(constB118))),
% 49.24/32.36 inference(modus_ponens,[status(thm)],[17303, 17302])).
% 49.24/32.36 tff(17305,plain,
% 49.24/32.36 (v90(constB118, bitIndex2) | (~v129(constB118, bitIndex2))),
% 49.24/32.36 inference(unit_resolution,[status(thm)],[17304, 381, 17241])).
% 49.24/32.36 tff(17306,plain,
% 49.24/32.36 (~v129(constB118, bitIndex2)),
% 49.24/32.36 inference(unit_resolution,[status(thm)],[17305, 17298])).
% 49.24/32.36 tff(17307,plain,
% 49.24/32.36 (((~![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))),
% 49.24/32.36 inference(rewrite,[status(thm)],[])).
% 49.24/32.36 tff(17308,plain,
% 49.24/32.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB117, constB118)) | (~v127(constB117, bitIndex2)) | v129(constB118, bitIndex2))),
% 49.24/32.36 inference(quant_inst,[status(thm)],[])).
% 49.24/32.36 tff(17309,plain,
% 49.24/32.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB117, constB118)) | (~v127(constB117, bitIndex2)) | v129(constB118, bitIndex2)),
% 49.24/32.36 inference(modus_ponens,[status(thm)],[17308, 17307])).
% 49.24/32.36 tff(17310,plain,
% 49.24/32.36 ((~v127(constB117, bitIndex2)) | v129(constB118, bitIndex2)),
% 49.24/32.36 inference(unit_resolution,[status(thm)],[17309, 366, 16907])).
% 49.24/32.36 tff(17311,plain,
% 49.24/32.36 (~v127(constB117, bitIndex2)),
% 49.24/32.36 inference(unit_resolution,[status(thm)],[17310, 17306])).
% 49.24/32.36 tff(17312,plain,
% 49.24/32.36 (((~![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))),
% 49.24/32.36 inference(rewrite,[status(thm)],[])).
% 49.24/32.36 tff(17313,plain,
% 49.24/32.36 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB117) | (~v130(constB117, bitIndex2)) | v127(constB117, bitIndex2))),
% 49.24/32.36 inference(quant_inst,[status(thm)],[])).
% 49.24/32.36 tff(17314,plain,
% 49.24/32.36 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB117) | (~v130(constB117, bitIndex2)) | v127(constB117, bitIndex2)),
% 49.24/32.36 inference(modus_ponens,[status(thm)],[17313, 17312])).
% 49.24/32.36 tff(17315,plain,
% 49.24/32.36 ((~v130(constB117, bitIndex2)) | v127(constB117, bitIndex2)),
% 49.24/32.36 inference(unit_resolution,[status(thm)],[17314, 351, 16885])).
% 49.24/32.36 tff(17316,plain,
% 49.24/32.36 (~v130(constB117, bitIndex2)),
% 49.24/32.36 inference(unit_resolution,[status(thm)],[17315, 17311])).
% 49.24/32.36 tff(17317,plain,
% 49.24/32.36 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB117)) | v130(constB117, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB117)) | v130(constB117, bitIndex2))),
% 49.24/32.36 inference(rewrite,[status(thm)],[])).
% 49.24/32.36 tff(17318,plain,
% 49.24/32.36 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB117)) | v130(constB117, bitIndex2))),
% 49.24/32.36 inference(quant_inst,[status(thm)],[])).
% 49.24/32.36 tff(17319,plain,
% 49.24/32.36 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB117)) | v130(constB117, bitIndex2)),
% 49.24/32.36 inference(modus_ponens,[status(thm)],[17318, 17317])).
% 49.24/32.36 tff(17320,plain,
% 49.24/32.36 (~v122(constB117)),
% 49.24/32.36 inference(unit_resolution,[status(thm)],[17319, 1876, 17316])).
% 49.24/32.36 tff(17321,plain,
% 49.24/32.36 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB119)) | (~v90(constB119, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB119)) | (~v90(constB119, bitIndex1)))),
% 49.24/32.36 inference(rewrite,[status(thm)],[])).
% 49.24/32.36 tff(17322,plain,
% 49.24/32.36 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB119)) | (~v90(constB119, bitIndex1)))),
% 49.24/32.36 inference(quant_inst,[status(thm)],[])).
% 49.24/32.36 tff(17323,plain,
% 49.24/32.36 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB119)) | (~v90(constB119, bitIndex1))),
% 49.24/32.36 inference(modus_ponens,[status(thm)],[17322, 17321])).
% 49.24/32.36 tff(17324,plain,
% 49.24/32.36 (~v90(constB119, bitIndex1)),
% 49.24/32.36 inference(unit_resolution,[status(thm)],[17323, 2293, 17285])).
% 49.24/32.36 tff(17325,plain,
% 49.24/32.36 (~v90(constB118, bitIndex1)),
% 49.24/32.36 inference(unit_resolution,[status(thm)],[17142, 17324])).
% 49.24/32.36 tff(17326,plain,
% 49.24/32.36 (v90(constB118, bitIndex1) | (~v129(constB118, bitIndex1))),
% 49.24/32.36 inference(unit_resolution,[status(thm)],[17132, 711, 17241])).
% 49.24/32.36 tff(17327,plain,
% 49.24/32.36 (~v129(constB118, bitIndex1)),
% 49.24/32.36 inference(unit_resolution,[status(thm)],[17326, 17325])).
% 49.24/32.36 tff(17328,plain,
% 49.24/32.36 (~v127(constB117, bitIndex1)),
% 49.24/32.36 inference(unit_resolution,[status(thm)],[17125, 17327])).
% 49.24/32.36 tff(17329,plain,
% 49.24/32.36 (~v130(constB117, bitIndex1)),
% 49.24/32.36 inference(unit_resolution,[status(thm)],[17120, 17328])).
% 49.24/32.36 tff(17330,plain,
% 49.24/32.36 (~v120(constB117)),
% 49.24/32.36 inference(unit_resolution,[status(thm)],[17115, 1450, 17329])).
% 49.24/32.36 tff(17331,plain,
% 49.24/32.36 (~v121(constB117)),
% 49.24/32.36 inference(unit_resolution,[status(thm)],[17000, 1748, 17258])).
% 49.24/32.36 tff(17332,plain,
% 49.24/32.36 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB117)) | v130(constB117, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB117)) | v130(constB117, bitIndex2))),
% 49.24/32.36 inference(rewrite,[status(thm)],[])).
% 49.24/32.36 tff(17333,plain,
% 49.24/32.36 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB117)) | v130(constB117, bitIndex2))),
% 49.24/32.36 inference(quant_inst,[status(thm)],[])).
% 49.24/32.36 tff(17334,plain,
% 49.24/32.36 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB117)) | v130(constB117, bitIndex2)),
% 49.24/32.36 inference(modus_ponens,[status(thm)],[17333, 17332])).
% 49.24/32.36 tff(17335,plain,
% 49.24/32.36 (~v123(constB117)),
% 49.24/32.36 inference(unit_resolution,[status(thm)],[17334, 836, 17316])).
% 49.24/32.36 tff(17336,plain,
% 49.24/32.36 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB117)) | v130(constB117, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB117)) | v130(constB117, bitIndex2))),
% 49.24/32.36 inference(rewrite,[status(thm)],[])).
% 49.24/32.36 tff(17337,plain,
% 49.24/32.36 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB117)) | v130(constB117, bitIndex2))),
% 49.24/32.36 inference(quant_inst,[status(thm)],[])).
% 49.24/32.36 tff(17338,plain,
% 49.24/32.36 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB117)) | v130(constB117, bitIndex2)),
% 49.24/32.36 inference(modus_ponens,[status(thm)],[17337, 17336])).
% 49.24/32.36 tff(17339,plain,
% 49.24/32.36 (~v119(constB117)),
% 49.24/32.36 inference(unit_resolution,[status(thm)],[17338, 337, 17316])).
% 49.24/32.36 tff(17340,plain,
% 49.24/32.36 (v123(constB117) | v121(constB117) | v120(constB117) | v119(constB117) | v122(constB117) | v124(constB117)),
% 49.24/32.36 inference(unit_resolution,[status(thm)],[17011, 908, 17258])).
% 49.24/32.36 tff(17341,plain,
% 49.24/32.36 ($false),
% 49.24/32.36 inference(unit_resolution,[status(thm)],[17340, 17339, 17335, 17331, 17330, 17320, 17259])).
% 49.24/32.36 tff(17342,plain,(v90(constB119, bitIndex0) | v123(constB119) | (~v130(constB119, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 49.24/32.36 tff(17343,plain,
% 49.24/32.36 (~v130(constB119, bitIndex2)),
% 49.24/32.36 inference(unit_resolution,[status(thm)],[17342, 17230, 17152])).
% 49.24/32.36 tff(17344,plain,
% 49.24/32.36 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB119, bitIndex2)) | v26(constB119) | v130(constB119, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB119, bitIndex2)) | v26(constB119) | v130(constB119, bitIndex2))),
% 49.24/32.36 inference(rewrite,[status(thm)],[])).
% 49.24/32.36 tff(17345,plain,
% 49.24/32.36 ((v26(constB119) | v130(constB119, bitIndex2) | (~v127(constB119, bitIndex2))) <=> ((~v127(constB119, bitIndex2)) | v26(constB119) | v130(constB119, bitIndex2))),
% 49.24/32.36 inference(rewrite,[status(thm)],[])).
% 49.24/32.36 tff(17346,plain,
% 49.24/32.36 (((~![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)))) | ((~v127(constB119, bitIndex2)) | v26(constB119) | v130(constB119, bitIndex2)))),
% 49.24/32.36 inference(monotonicity,[status(thm)],[17345])).
% 49.24/32.36 tff(17347,plain,
% 49.24/32.36 (((~![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)))) | (~v127(constB119, bitIndex2)) | v26(constB119) | v130(constB119, bitIndex2))),
% 49.24/32.36 inference(transitivity,[status(thm)],[17346, 17344])).
% 49.24/32.36 tff(17348,plain,
% 49.24/32.36 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB119) | v130(constB119, bitIndex2) | (~v127(constB119, bitIndex2)))),
% 49.24/32.36 inference(quant_inst,[status(thm)],[])).
% 49.24/32.36 tff(17349,plain,
% 49.24/32.36 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB119, bitIndex2)) | v26(constB119) | v130(constB119, bitIndex2)),
% 49.24/32.36 inference(modus_ponens,[status(thm)],[17348, 17347])).
% 49.24/32.36 tff(17350,plain,
% 49.24/32.36 ((~v127(constB119, bitIndex2)) | v130(constB119, bitIndex2)),
% 49.24/32.36 inference(unit_resolution,[status(thm)],[17349, 1210, 17180])).
% 49.24/32.36 tff(17351,plain,
% 49.24/32.36 (~v127(constB119, bitIndex2)),
% 49.24/32.36 inference(unit_resolution,[status(thm)],[17350, 17343])).
% 49.24/32.36 tff(17352,plain,
% 49.24/32.36 (((~![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)))),
% 49.24/32.36 inference(rewrite,[status(thm)],[])).
% 49.24/32.36 tff(17353,plain,
% 49.24/32.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB119, constB120)) | v127(constB119, bitIndex2) | (~v129(constB120, bitIndex2)))),
% 49.24/32.36 inference(quant_inst,[status(thm)],[])).
% 49.24/32.36 tff(17354,plain,
% 49.24/32.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB119, constB120)) | v127(constB119, bitIndex2) | (~v129(constB120, bitIndex2))),
% 49.24/32.36 inference(modus_ponens,[status(thm)],[17353, 17352])).
% 49.24/32.36 tff(17355,plain,
% 49.24/32.36 (v127(constB119, bitIndex2) | (~v129(constB120, bitIndex2))),
% 49.24/32.36 inference(unit_resolution,[status(thm)],[17354, 1243, 17192])).
% 49.24/32.36 tff(17356,plain,
% 49.24/32.36 (~v129(constB120, bitIndex2)),
% 49.24/32.36 inference(unit_resolution,[status(thm)],[17355, 17351])).
% 49.24/32.36 tff(17357,plain,
% 49.24/32.36 (((~![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)))),
% 49.24/32.36 inference(rewrite,[status(thm)],[])).
% 49.24/32.36 tff(17358,plain,
% 49.24/32.36 (((~v90(constB120, bitIndex2)) | (~v100(constB120)) | v129(constB120, bitIndex2)) <=> ((~v90(constB120, bitIndex2)) | v129(constB120, bitIndex2) | (~v100(constB120)))),
% 49.24/32.36 inference(rewrite,[status(thm)],[])).
% 49.24/32.36 tff(17359,plain,
% 49.24/32.36 (((~![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))))),
% 49.24/32.36 inference(monotonicity,[status(thm)],[17358])).
% 49.24/32.36 tff(17360,plain,
% 49.24/32.36 (((~![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)))),
% 49.24/32.36 inference(transitivity,[status(thm)],[17359, 17357])).
% 49.24/32.36 tff(17361,plain,
% 49.24/32.36 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB120, bitIndex2)) | (~v100(constB120)) | v129(constB120, bitIndex2))),
% 49.24/32.36 inference(quant_inst,[status(thm)],[])).
% 49.24/32.36 tff(17362,plain,
% 49.24/32.36 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB120, bitIndex2)) | v129(constB120, bitIndex2) | (~v100(constB120))),
% 49.24/32.36 inference(modus_ponens,[status(thm)],[17361, 17360])).
% 49.24/32.36 tff(17363,plain,
% 49.24/32.36 ((~v90(constB120, bitIndex2)) | (~v100(constB120))),
% 49.24/32.36 inference(unit_resolution,[status(thm)],[17362, 1258, 17356])).
% 49.24/32.36 tff(17364,plain,
% 49.24/32.36 (~v90(constB120, bitIndex2)),
% 49.24/32.36 inference(unit_resolution,[status(thm)],[17363, 17226])).
% 49.24/32.36 tff(17365,plain,
% 49.24/32.36 ((~v1(constB121)) <=> (~v1(constB121))),
% 49.24/32.36 inference(rewrite,[status(thm)],[])).
% 49.24/32.36 tff(17366,axiom,(~v1(constB121)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_121_1_1')).
% 49.24/32.36 tff(17367,plain,
% 49.24/32.36 (~v1(constB121)),
% 49.24/32.36 inference(modus_ponens,[status(thm)],[17366, 17365])).
% 49.24/32.36 tff(17368,plain,
% 49.24/32.36 (nextState(constB120, constB121) <=> nextState(constB120, constB121)),
% 49.24/32.36 inference(rewrite,[status(thm)],[])).
% 49.24/32.36 tff(17369,axiom,(nextState(constB120, constB121)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_120_1')).
% 49.24/32.36 tff(17370,plain,
% 49.24/32.36 (nextState(constB120, constB121)),
% 49.24/32.36 inference(modus_ponens,[status(thm)],[17369, 17368])).
% 49.24/32.36 tff(17371,plain,
% 49.24/32.36 (((~![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)))),
% 49.24/32.36 inference(rewrite,[status(thm)],[])).
% 49.24/32.36 tff(17372,plain,
% 49.24/32.36 (((~nextState(constB120, constB121)) | (~v101(constB121)) | v1(constB121)) <=> (v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121)))),
% 49.24/32.36 inference(rewrite,[status(thm)],[])).
% 49.24/32.36 tff(17373,plain,
% 49.24/32.36 (((~![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))))),
% 49.24/32.36 inference(monotonicity,[status(thm)],[17372])).
% 49.24/32.36 tff(17374,plain,
% 49.24/32.36 (((~![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)))),
% 49.24/32.36 inference(transitivity,[status(thm)],[17373, 17371])).
% 49.24/32.36 tff(17375,plain,
% 49.24/32.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB120, constB121)) | (~v101(constB121)) | v1(constB121))),
% 49.24/32.36 inference(quant_inst,[status(thm)],[])).
% 49.24/32.36 tff(17376,plain,
% 49.24/32.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121))),
% 49.24/32.36 inference(modus_ponens,[status(thm)],[17375, 17374])).
% 49.24/32.36 tff(17377,plain,
% 49.24/32.36 (~v101(constB121)),
% 49.24/32.36 inference(unit_resolution,[status(thm)],[17376, 49, 17370, 17367])).
% 49.24/32.36 tff(17378,plain,
% 49.24/32.36 (((~![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)))),
% 49.24/32.36 inference(rewrite,[status(thm)],[])).
% 49.24/32.36 tff(17379,plain,
% 49.24/32.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB120, constB121)) | v101(constB121) | (~v100(constB121)))),
% 49.24/32.36 inference(quant_inst,[status(thm)],[])).
% 49.24/32.36 tff(17380,plain,
% 49.24/32.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB120, constB121)) | v101(constB121) | (~v100(constB121))),
% 49.24/32.36 inference(modus_ponens,[status(thm)],[17379, 17378])).
% 49.24/32.36 tff(17381,plain,
% 49.24/32.36 (v101(constB121) | (~v100(constB121))),
% 49.24/32.36 inference(unit_resolution,[status(thm)],[17380, 66, 17370])).
% 49.24/32.36 tff(17382,plain,
% 49.24/32.36 (~v100(constB121)),
% 49.24/32.36 inference(unit_resolution,[status(thm)],[17381, 17377])).
% 49.24/32.36 tff(17383,plain,
% 49.24/32.36 (((~![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)))),
% 49.24/32.36 inference(rewrite,[status(thm)],[])).
% 49.24/32.36 tff(17384,plain,
% 49.24/32.36 (((~nextState(constB120, constB121)) | v90(constB120, bitIndex2) | v100(constB121) | (~v90(constB121, bitIndex2))) <=> (v90(constB120, bitIndex2) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, bitIndex2)))),
% 49.24/32.36 inference(rewrite,[status(thm)],[])).
% 49.24/32.36 tff(17385,plain,
% 49.24/32.36 (((~![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))))),
% 49.24/32.36 inference(monotonicity,[status(thm)],[17384])).
% 49.24/32.36 tff(17386,plain,
% 49.24/32.36 (((~![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)))),
% 49.24/32.36 inference(transitivity,[status(thm)],[17385, 17383])).
% 49.24/32.36 tff(17387,plain,
% 49.24/32.36 ((~![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)))),
% 49.24/32.36 inference(quant_inst,[status(thm)],[])).
% 49.24/32.36 tff(17388,plain,
% 49.24/32.36 ((~![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))),
% 49.24/32.36 inference(modus_ponens,[status(thm)],[17387, 17386])).
% 49.24/32.36 tff(17389,plain,
% 49.24/32.36 (v90(constB120, bitIndex2) | v100(constB121) | (~v90(constB121, bitIndex2))),
% 49.24/32.36 inference(unit_resolution,[status(thm)],[17388, 81, 17370])).
% 49.24/32.36 tff(17390,plain,
% 49.24/32.36 (v90(constB120, bitIndex2) | (~v90(constB121, bitIndex2))),
% 49.24/32.36 inference(unit_resolution,[status(thm)],[17389, 17382])).
% 49.24/32.36 tff(17391,plain,
% 49.24/32.36 (~v90(constB121, bitIndex2)),
% 49.24/32.36 inference(unit_resolution,[status(thm)],[17390, 17364])).
% 49.24/32.36 tff(17392,plain,
% 49.24/32.36 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB119)) | v130(constB119, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB119)) | v130(constB119, bitIndex1))),
% 49.24/32.36 inference(rewrite,[status(thm)],[])).
% 49.24/32.36 tff(17393,plain,
% 49.24/32.36 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB119)) | v130(constB119, bitIndex1))),
% 49.24/32.36 inference(quant_inst,[status(thm)],[])).
% 49.24/32.36 tff(17394,plain,
% 49.24/32.36 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB119)) | v130(constB119, bitIndex1)),
% 49.24/32.36 inference(modus_ponens,[status(thm)],[17393, 17392])).
% 49.24/32.36 tff(17395,plain,
% 49.24/32.36 (v130(constB119, bitIndex1)),
% 49.24/32.36 inference(unit_resolution,[status(thm)],[17394, 1707, 17156])).
% 49.24/32.36 tff(17396,plain,
% 49.24/32.36 (((~![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))),
% 49.24/32.36 inference(rewrite,[status(thm)],[])).
% 49.24/32.36 tff(17397,plain,
% 49.24/32.36 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB119) | (~v130(constB119, bitIndex1)) | v127(constB119, bitIndex1))),
% 49.24/32.36 inference(quant_inst,[status(thm)],[])).
% 49.24/32.36 tff(17398,plain,
% 49.24/32.36 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB119) | (~v130(constB119, bitIndex1)) | v127(constB119, bitIndex1)),
% 49.24/32.36 inference(modus_ponens,[status(thm)],[17397, 17396])).
% 49.24/32.36 tff(17399,plain,
% 49.24/32.36 ((~v130(constB119, bitIndex1)) | v127(constB119, bitIndex1)),
% 49.24/32.36 inference(unit_resolution,[status(thm)],[17398, 681, 17180])).
% 49.24/32.36 tff(17400,plain,
% 49.24/32.36 (v127(constB119, bitIndex1)),
% 49.24/32.36 inference(unit_resolution,[status(thm)],[17399, 17395])).
% 49.24/32.36 tff(17401,plain,
% 49.24/32.36 (((~![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))),
% 49.24/32.36 inference(rewrite,[status(thm)],[])).
% 49.24/32.36 tff(17402,plain,
% 49.24/32.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB119, constB120)) | (~v127(constB119, bitIndex1)) | v129(constB120, bitIndex1))),
% 49.24/32.36 inference(quant_inst,[status(thm)],[])).
% 49.24/32.36 tff(17403,plain,
% 49.24/32.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB119, constB120)) | (~v127(constB119, bitIndex1)) | v129(constB120, bitIndex1)),
% 49.24/32.36 inference(modus_ponens,[status(thm)],[17402, 17401])).
% 49.24/32.36 tff(17404,plain,
% 49.24/32.36 ((~v127(constB119, bitIndex1)) | v129(constB120, bitIndex1)),
% 49.24/32.36 inference(unit_resolution,[status(thm)],[17403, 696, 17192])).
% 49.24/32.36 tff(17405,plain,
% 49.24/32.36 (v129(constB120, bitIndex1)),
% 49.24/32.36 inference(unit_resolution,[status(thm)],[17404, 17400])).
% 49.24/32.36 tff(17406,plain,
% 49.24/32.36 (((~![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)))),
% 49.24/32.36 inference(rewrite,[status(thm)],[])).
% 49.24/32.36 tff(17407,plain,
% 49.24/32.36 ((v90(constB120, bitIndex1) | (~v100(constB120)) | (~v129(constB120, bitIndex1))) <=> (v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1)) | (~v100(constB120)))),
% 49.24/32.36 inference(rewrite,[status(thm)],[])).
% 49.24/32.36 tff(17408,plain,
% 49.24/32.36 (((~![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))))),
% 49.24/32.37 inference(monotonicity,[status(thm)],[17407])).
% 49.24/32.37 tff(17409,plain,
% 49.24/32.37 (((~![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)))),
% 49.24/32.37 inference(transitivity,[status(thm)],[17408, 17406])).
% 49.24/32.37 tff(17410,plain,
% 49.24/32.37 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB120, bitIndex1) | (~v100(constB120)) | (~v129(constB120, bitIndex1)))),
% 49.24/32.37 inference(quant_inst,[status(thm)],[])).
% 49.24/32.37 tff(17411,plain,
% 49.24/32.37 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB120, bitIndex1) | (~v129(constB120, bitIndex1)) | (~v100(constB120))),
% 49.24/32.37 inference(modus_ponens,[status(thm)],[17410, 17409])).
% 49.24/32.37 tff(17412,plain,
% 49.24/32.37 (v90(constB120, bitIndex1) | (~v100(constB120))),
% 49.24/32.37 inference(unit_resolution,[status(thm)],[17411, 711, 17405])).
% 49.24/32.37 tff(17413,plain,
% 49.24/32.37 (v90(constB120, bitIndex1)),
% 49.24/32.37 inference(unit_resolution,[status(thm)],[17412, 17226])).
% 49.24/32.37 tff(17414,plain,
% 49.24/32.37 (((~![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))),
% 49.24/32.37 inference(rewrite,[status(thm)],[])).
% 49.24/32.37 tff(17415,plain,
% 49.24/32.37 (((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex1)) | v100(constB121) | v90(constB121, bitIndex1)) <=> ((~v90(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex1))),
% 49.24/32.37 inference(rewrite,[status(thm)],[])).
% 49.24/32.37 tff(17416,plain,
% 49.24/32.37 (((~![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)))),
% 49.24/32.37 inference(monotonicity,[status(thm)],[17415])).
% 49.24/32.37 tff(17417,plain,
% 49.24/32.37 (((~![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))),
% 49.24/32.37 inference(transitivity,[status(thm)],[17416, 17414])).
% 49.24/32.37 tff(17418,plain,
% 49.24/32.37 ((~![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))),
% 49.24/32.37 inference(quant_inst,[status(thm)],[])).
% 49.24/32.37 tff(17419,plain,
% 49.24/32.37 ((~![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)),
% 49.24/32.37 inference(modus_ponens,[status(thm)],[17418, 17417])).
% 49.24/32.37 tff(17420,plain,
% 49.24/32.37 ((~v90(constB120, bitIndex1)) | v100(constB121) | v90(constB121, bitIndex1)),
% 49.24/32.37 inference(unit_resolution,[status(thm)],[17419, 747, 17370])).
% 49.24/32.37 tff(17421,plain,
% 49.24/32.37 ((~v90(constB120, bitIndex1)) | v90(constB121, bitIndex1)),
% 49.24/32.37 inference(unit_resolution,[status(thm)],[17420, 17382])).
% 49.24/32.37 tff(17422,plain,
% 49.24/32.37 (v90(constB121, bitIndex1)),
% 49.24/32.37 inference(unit_resolution,[status(thm)],[17421, 17413])).
% 49.24/32.37 tff(17423,plain,
% 49.24/32.37 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB119)) | v130(constB119, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB119)) | v130(constB119, bitIndex0))),
% 49.24/32.37 inference(rewrite,[status(thm)],[])).
% 49.24/32.37 tff(17424,plain,
% 49.24/32.37 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB119)) | v130(constB119, bitIndex0))),
% 49.24/32.37 inference(quant_inst,[status(thm)],[])).
% 49.24/32.37 tff(17425,plain,
% 49.24/32.37 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB119)) | v130(constB119, bitIndex0)),
% 49.24/32.37 inference(modus_ponens,[status(thm)],[17424, 17423])).
% 49.24/32.37 tff(17426,plain,
% 49.24/32.37 (v130(constB119, bitIndex0)),
% 49.24/32.37 inference(unit_resolution,[status(thm)],[17425, 1748, 17156])).
% 49.24/32.37 tff(17427,plain,
% 49.24/32.37 (((~![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))) | v26(constB119) | (~v130(constB119, bitIndex0)) | v127(constB119, bitIndex0))),
% 49.24/32.37 inference(rewrite,[status(thm)],[])).
% 49.24/32.37 tff(17428,plain,
% 49.24/32.37 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB119) | (~v130(constB119, bitIndex0)) | v127(constB119, bitIndex0))),
% 49.24/32.37 inference(quant_inst,[status(thm)],[])).
% 49.24/32.37 tff(17429,plain,
% 49.24/32.37 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB119) | (~v130(constB119, bitIndex0)) | v127(constB119, bitIndex0)),
% 49.24/32.37 inference(modus_ponens,[status(thm)],[17428, 17427])).
% 49.24/32.37 tff(17430,plain,
% 49.24/32.37 ((~v130(constB119, bitIndex0)) | v127(constB119, bitIndex0)),
% 49.24/32.37 inference(unit_resolution,[status(thm)],[17429, 926, 17180])).
% 49.24/32.37 tff(17431,plain,
% 49.24/32.37 (v127(constB119, bitIndex0)),
% 49.24/32.37 inference(unit_resolution,[status(thm)],[17430, 17426])).
% 49.24/32.37 tff(17432,plain,
% 49.24/32.37 (((~![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))),
% 49.24/32.37 inference(rewrite,[status(thm)],[])).
% 49.24/32.37 tff(17433,plain,
% 49.24/32.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB119, constB120)) | (~v127(constB119, bitIndex0)) | v129(constB120, bitIndex0))),
% 49.24/32.37 inference(quant_inst,[status(thm)],[])).
% 49.24/32.37 tff(17434,plain,
% 49.24/32.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB119, constB120)) | (~v127(constB119, bitIndex0)) | v129(constB120, bitIndex0)),
% 49.24/32.37 inference(modus_ponens,[status(thm)],[17433, 17432])).
% 49.24/32.37 tff(17435,plain,
% 49.24/32.37 ((~v127(constB119, bitIndex0)) | v129(constB120, bitIndex0)),
% 49.24/32.37 inference(unit_resolution,[status(thm)],[17434, 944, 17192])).
% 49.24/32.37 tff(17436,plain,
% 49.24/32.37 (v129(constB120, bitIndex0)),
% 49.24/32.37 inference(unit_resolution,[status(thm)],[17435, 17431])).
% 49.24/32.37 tff(17437,plain,
% 49.24/32.37 (((~![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)))),
% 49.24/32.37 inference(rewrite,[status(thm)],[])).
% 49.24/32.37 tff(17438,plain,
% 49.24/32.37 ((v90(constB120, bitIndex0) | (~v100(constB120)) | (~v129(constB120, bitIndex0))) <=> (v90(constB120, bitIndex0) | (~v129(constB120, bitIndex0)) | (~v100(constB120)))),
% 49.24/32.37 inference(rewrite,[status(thm)],[])).
% 49.24/32.37 tff(17439,plain,
% 49.24/32.37 (((~![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))))),
% 49.24/32.37 inference(monotonicity,[status(thm)],[17438])).
% 49.24/32.37 tff(17440,plain,
% 49.24/32.37 (((~![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)))),
% 49.24/32.37 inference(transitivity,[status(thm)],[17439, 17437])).
% 49.24/32.37 tff(17441,plain,
% 49.24/32.37 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB120, bitIndex0) | (~v100(constB120)) | (~v129(constB120, bitIndex0)))),
% 49.24/32.37 inference(quant_inst,[status(thm)],[])).
% 49.24/32.37 tff(17442,plain,
% 49.24/32.37 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB120, bitIndex0) | (~v129(constB120, bitIndex0)) | (~v100(constB120))),
% 49.24/32.37 inference(modus_ponens,[status(thm)],[17441, 17440])).
% 49.24/32.37 tff(17443,plain,
% 49.24/32.37 (v90(constB120, bitIndex0) | (~v100(constB120))),
% 49.24/32.37 inference(unit_resolution,[status(thm)],[17442, 1088, 17436])).
% 49.24/32.37 tff(17444,plain,
% 49.24/32.37 (v90(constB120, bitIndex0)),
% 49.24/32.37 inference(unit_resolution,[status(thm)],[17443, 17226])).
% 49.24/32.37 tff(17445,plain,
% 49.24/32.37 (((~![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))),
% 49.24/32.37 inference(rewrite,[status(thm)],[])).
% 49.24/32.37 tff(17446,plain,
% 49.24/32.37 (((~nextState(constB120, constB121)) | (~v90(constB120, bitIndex0)) | v100(constB121) | v90(constB121, bitIndex0)) <=> ((~v90(constB120, bitIndex0)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, bitIndex0))),
% 49.24/32.37 inference(rewrite,[status(thm)],[])).
% 49.24/32.37 tff(17447,plain,
% 49.24/32.37 (((~![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)))),
% 49.24/32.37 inference(monotonicity,[status(thm)],[17446])).
% 49.24/32.37 tff(17448,plain,
% 49.24/32.37 (((~![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))),
% 49.24/32.37 inference(transitivity,[status(thm)],[17447, 17445])).
% 49.24/32.37 tff(17449,plain,
% 49.24/32.37 ((~![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))),
% 49.24/32.37 inference(quant_inst,[status(thm)],[])).
% 49.24/32.37 tff(17450,plain,
% 49.24/32.37 ((~![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)),
% 49.24/32.37 inference(modus_ponens,[status(thm)],[17449, 17448])).
% 49.24/32.37 tff(17451,plain,
% 49.24/32.37 ((~v90(constB120, bitIndex0)) | v100(constB121) | v90(constB121, bitIndex0)),
% 49.24/32.37 inference(unit_resolution,[status(thm)],[17450, 1124, 17370])).
% 49.24/32.37 tff(17452,plain,
% 49.24/32.37 ((~v90(constB120, bitIndex0)) | v90(constB121, bitIndex0)),
% 49.24/32.37 inference(unit_resolution,[status(thm)],[17451, 17382])).
% 49.24/32.37 tff(17453,plain,
% 49.24/32.37 (v90(constB121, bitIndex0)),
% 49.24/32.37 inference(unit_resolution,[status(thm)],[17452, 17444])).
% 49.24/32.37 tff(17454,plain,
% 49.24/32.37 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB121, bitIndex0)) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex2) | v122(constB121))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB121, bitIndex0)) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex2) | v122(constB121))),
% 49.24/32.37 inference(rewrite,[status(thm)],[])).
% 49.24/32.37 tff(17455,plain,
% 49.24/32.37 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB121, bitIndex0)) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex2) | v122(constB121))),
% 49.24/32.37 inference(quant_inst,[status(thm)],[])).
% 49.24/32.37 tff(17456,plain,
% 49.24/32.37 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB121, bitIndex0)) | (~v90(constB121, bitIndex1)) | v90(constB121, bitIndex2) | v122(constB121)),
% 49.24/32.37 inference(modus_ponens,[status(thm)],[17455, 17454])).
% 49.24/32.37 tff(17457,plain,
% 49.24/32.37 (v122(constB121)),
% 49.24/32.37 inference(unit_resolution,[status(thm)],[17456, 1789, 17453, 17422, 17391])).
% 49.24/32.37 tff(17458,plain,
% 49.24/32.37 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB121) | (~v122(constB121)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB121) | (~v122(constB121)))),
% 49.24/32.37 inference(rewrite,[status(thm)],[])).
% 49.24/32.37 tff(17459,plain,
% 49.24/32.37 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB121) | (~v122(constB121)))),
% 49.24/32.37 inference(quant_inst,[status(thm)],[])).
% 49.24/32.37 tff(17460,plain,
% 49.24/32.37 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB121) | (~v122(constB121))),
% 49.24/32.37 inference(modus_ponens,[status(thm)],[17459, 17458])).
% 49.24/32.37 tff(17461,plain,
% 49.24/32.37 (v116(constB121)),
% 49.24/32.37 inference(unit_resolution,[status(thm)],[17460, 1800, 17457])).
% 49.24/32.37 tff(17462,plain,
% 49.24/32.37 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB121) | (~v116(constB121)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB121) | (~v116(constB121)))),
% 49.24/32.37 inference(rewrite,[status(thm)],[])).
% 49.24/32.37 tff(17463,plain,
% 49.24/32.37 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB121) | (~v116(constB121)))),
% 49.24/32.37 inference(quant_inst,[status(thm)],[])).
% 49.24/32.37 tff(17464,plain,
% 49.24/32.37 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB121) | (~v116(constB121))),
% 49.24/32.37 inference(modus_ponens,[status(thm)],[17463, 17462])).
% 49.24/32.37 tff(17465,plain,
% 49.24/32.37 (v115(constB121)),
% 49.24/32.37 inference(unit_resolution,[status(thm)],[17464, 188, 17461])).
% 49.24/32.37 tff(17466,plain,
% 49.24/32.37 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB121) | (~v115(constB121)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB121) | (~v115(constB121)))),
% 49.24/32.37 inference(rewrite,[status(thm)],[])).
% 49.24/32.37 tff(17467,plain,
% 49.24/32.37 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB121) | (~v115(constB121)))),
% 49.24/32.37 inference(quant_inst,[status(thm)],[])).
% 49.24/32.37 tff(17468,plain,
% 49.24/32.37 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB121) | (~v115(constB121))),
% 49.24/32.37 inference(modus_ponens,[status(thm)],[17467, 17466])).
% 49.24/32.37 tff(17469,plain,
% 49.24/32.37 (v114(constB121)),
% 49.24/32.37 inference(unit_resolution,[status(thm)],[17468, 199, 17465])).
% 49.24/32.37 tff(17470,plain,
% 49.24/32.37 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB121) | (~v114(constB121)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB121) | (~v114(constB121)))),
% 49.24/32.37 inference(rewrite,[status(thm)],[])).
% 49.24/32.37 tff(17471,plain,
% 49.24/32.37 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB121) | (~v114(constB121)))),
% 49.24/32.37 inference(quant_inst,[status(thm)],[])).
% 49.24/32.37 tff(17472,plain,
% 49.24/32.37 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB121) | (~v114(constB121))),
% 49.24/32.37 inference(modus_ponens,[status(thm)],[17471, 17470])).
% 49.24/32.37 tff(17473,plain,
% 49.24/32.37 (v113(constB121)),
% 49.24/32.37 inference(unit_resolution,[status(thm)],[17472, 210, 17469])).
% 49.24/32.37 tff(17474,assumption,(v26(constB121)), introduced(assumption)).
% 49.24/32.37 tff(17475,plain,
% 49.24/32.37 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB121))),
% 49.24/32.37 inference(quant_inst,[status(thm)],[])).
% 49.24/32.37 tff(17476,plain,
% 49.24/32.37 ($false),
% 49.24/32.37 inference(unit_resolution,[status(thm)],[17475, 16, 17474])).
% 49.24/32.37 tff(17477,plain,(~v26(constB121)), inference(lemma,lemma(discharge,[]))).
% 49.24/32.37 tff(17478,plain,
% 49.24/32.37 (((~![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)))),
% 49.24/32.37 inference(rewrite,[status(thm)],[])).
% 49.24/32.37 tff(17479,plain,
% 49.24/32.37 ((v26(constB121) | (~v113(constB121)) | v112(constB121)) <=> (v26(constB121) | v112(constB121) | (~v113(constB121)))),
% 49.24/32.37 inference(rewrite,[status(thm)],[])).
% 49.24/32.37 tff(17480,plain,
% 49.24/32.37 (((~![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))))),
% 49.24/32.37 inference(monotonicity,[status(thm)],[17479])).
% 49.24/32.37 tff(17481,plain,
% 49.24/32.37 (((~![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)))),
% 49.24/32.37 inference(transitivity,[status(thm)],[17480, 17478])).
% 49.24/32.37 tff(17482,plain,
% 49.24/32.37 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB121) | (~v113(constB121)) | v112(constB121))),
% 49.24/32.37 inference(quant_inst,[status(thm)],[])).
% 49.24/32.37 tff(17483,plain,
% 49.24/32.37 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB121) | v112(constB121) | (~v113(constB121))),
% 49.24/32.37 inference(modus_ponens,[status(thm)],[17482, 17481])).
% 49.24/32.37 tff(17484,plain,
% 49.24/32.37 (v112(constB121) | (~v113(constB121))),
% 49.24/32.37 inference(unit_resolution,[status(thm)],[17483, 224, 17477])).
% 49.24/32.37 tff(17485,plain,
% 49.24/32.37 (v112(constB121)),
% 49.24/32.37 inference(unit_resolution,[status(thm)],[17484, 17473])).
% 49.24/32.37 tff(17486,plain,
% 49.24/32.37 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB121) | (~v112(constB121)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB121) | (~v112(constB121)))),
% 49.24/32.37 inference(rewrite,[status(thm)],[])).
% 49.24/32.37 tff(17487,plain,
% 49.24/32.37 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB121) | (~v112(constB121)))),
% 49.24/32.37 inference(quant_inst,[status(thm)],[])).
% 49.24/32.37 tff(17488,plain,
% 49.24/32.37 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB121) | (~v112(constB121))),
% 49.24/32.37 inference(modus_ponens,[status(thm)],[17487, 17486])).
% 49.24/32.37 tff(17489,plain,
% 49.24/32.37 (v108(constB121)),
% 49.24/32.37 inference(unit_resolution,[status(thm)],[17488, 236, 17485])).
% 49.24/32.37 tff(17490,plain,
% 49.24/32.37 (nextState(constB121, constB122) <=> nextState(constB121, constB122)),
% 49.24/32.37 inference(rewrite,[status(thm)],[])).
% 49.24/32.37 tff(17491,axiom,(nextState(constB121, constB122)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_121_1')).
% 49.24/32.37 tff(17492,plain,
% 49.24/32.37 (nextState(constB121, constB122)),
% 49.24/32.37 inference(modus_ponens,[status(thm)],[17491, 17490])).
% 49.24/32.37 tff(17493,plain,
% 49.24/32.37 (((~![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)))),
% 49.24/32.37 inference(rewrite,[status(thm)],[])).
% 49.24/32.37 tff(17494,plain,
% 49.24/32.37 (((~nextState(constB121, constB122)) | (~v108(constB121)) | v110(constB122)) <=> ((~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121)))),
% 49.24/32.37 inference(rewrite,[status(thm)],[])).
% 49.24/32.37 tff(17495,plain,
% 49.24/32.37 (((~![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))))),
% 49.24/32.37 inference(monotonicity,[status(thm)],[17494])).
% 49.24/32.37 tff(17496,plain,
% 49.24/32.37 (((~![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)))),
% 49.24/32.37 inference(transitivity,[status(thm)],[17495, 17493])).
% 49.24/32.37 tff(17497,plain,
% 49.24/32.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB121, constB122)) | (~v108(constB121)) | v110(constB122))),
% 49.24/32.37 inference(quant_inst,[status(thm)],[])).
% 49.24/32.37 tff(17498,plain,
% 49.24/32.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121))),
% 49.24/32.37 inference(modus_ponens,[status(thm)],[17497, 17496])).
% 49.24/32.37 tff(17499,plain,
% 49.24/32.37 (v110(constB122) | (~v108(constB121))),
% 49.24/32.37 inference(unit_resolution,[status(thm)],[17498, 253, 17492])).
% 49.24/32.37 tff(17500,plain,
% 49.24/32.37 (v110(constB122)),
% 49.24/32.37 inference(unit_resolution,[status(thm)],[17499, 17489])).
% 49.24/32.37 tff(17501,plain,
% 49.24/32.37 (((~![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)))),
% 49.24/32.37 inference(rewrite,[status(thm)],[])).
% 49.24/32.37 tff(17502,plain,
% 49.24/32.37 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB121) | (~nextState(constB121, constB122)) | (~v104(constB122)))),
% 49.24/32.37 inference(quant_inst,[status(thm)],[])).
% 49.24/32.37 tff(17503,plain,
% 49.24/32.37 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB121) | (~nextState(constB121, constB122)) | (~v104(constB122))),
% 49.24/32.37 inference(modus_ponens,[status(thm)],[17502, 17501])).
% 49.24/32.37 tff(17504,plain,
% 49.24/32.37 (~v104(constB122)),
% 49.24/32.37 inference(unit_resolution,[status(thm)],[17503, 271, 17492, 17367])).
% 49.24/32.37 tff(17505,plain,
% 49.24/32.37 (((~![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))),
% 49.24/32.37 inference(rewrite,[status(thm)],[])).
% 49.24/32.37 tff(17506,plain,
% 49.24/32.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB121, constB122)) | v102(constB122) | v104(constB122))),
% 49.24/32.37 inference(quant_inst,[status(thm)],[])).
% 49.24/32.37 tff(17507,plain,
% 49.24/32.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB121, constB122)) | v102(constB122) | v104(constB122)),
% 49.24/32.37 inference(modus_ponens,[status(thm)],[17506, 17505])).
% 49.24/32.37 tff(17508,plain,
% 49.24/32.37 (v102(constB122) | v104(constB122)),
% 49.24/32.37 inference(unit_resolution,[status(thm)],[17507, 285, 17492])).
% 49.24/32.37 tff(17509,plain,
% 49.24/32.37 (v102(constB122)),
% 49.24/32.37 inference(unit_resolution,[status(thm)],[17508, 17504])).
% 49.24/32.37 tff(17510,plain,
% 49.24/32.37 (v1(constB122) <=> v1(constB122)),
% 49.24/32.37 inference(rewrite,[status(thm)],[])).
% 49.24/32.37 tff(17511,axiom,(v1(constB122)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_122_1')).
% 49.24/32.37 tff(17512,plain,
% 49.24/32.37 (v1(constB122)),
% 49.24/32.37 inference(modus_ponens,[status(thm)],[17511, 17510])).
% 49.24/32.37 tff(17513,plain,
% 49.24/32.37 (((~![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)))),
% 49.24/32.37 inference(rewrite,[status(thm)],[])).
% 49.24/32.37 tff(17514,plain,
% 49.24/32.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB121, constB122)) | v101(constB122) | (~v102(constB122)) | (~v1(constB122)))),
% 49.24/32.37 inference(quant_inst,[status(thm)],[])).
% 49.24/32.37 tff(17515,plain,
% 49.24/32.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB121, constB122)) | v101(constB122) | (~v102(constB122)) | (~v1(constB122))),
% 49.24/32.37 inference(modus_ponens,[status(thm)],[17514, 17513])).
% 49.24/32.37 tff(17516,plain,
% 49.24/32.37 (v101(constB122) | (~v102(constB122))),
% 49.24/32.37 inference(unit_resolution,[status(thm)],[17515, 303, 17492, 17512])).
% 49.24/32.37 tff(17517,plain,
% 49.24/32.37 (v101(constB122)),
% 49.24/32.37 inference(unit_resolution,[status(thm)],[17516, 17509])).
% 49.24/32.37 tff(17518,plain,
% 49.24/32.37 (((~![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)))),
% 49.24/32.37 inference(rewrite,[status(thm)],[])).
% 49.24/32.37 tff(17519,plain,
% 49.24/32.37 (((~nextState(constB121, constB122)) | (~v101(constB122)) | (~v110(constB122)) | v100(constB122)) <=> ((~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122)))),
% 49.24/32.37 inference(rewrite,[status(thm)],[])).
% 49.24/32.37 tff(17520,plain,
% 49.24/32.37 (((~![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))))),
% 49.24/32.37 inference(monotonicity,[status(thm)],[17519])).
% 49.24/32.37 tff(17521,plain,
% 49.24/32.37 (((~![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)))),
% 49.24/32.37 inference(transitivity,[status(thm)],[17520, 17518])).
% 49.24/32.37 tff(17522,plain,
% 49.24/32.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB121, constB122)) | (~v101(constB122)) | (~v110(constB122)) | v100(constB122))),
% 49.24/32.37 inference(quant_inst,[status(thm)],[])).
% 49.24/32.37 tff(17523,plain,
% 49.24/32.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122))),
% 49.24/32.37 inference(modus_ponens,[status(thm)],[17522, 17521])).
% 49.24/32.37 tff(17524,plain,
% 49.24/32.37 (v100(constB122) | (~v101(constB122)) | (~v110(constB122))),
% 49.24/32.37 inference(unit_resolution,[status(thm)],[17523, 318, 17492])).
% 49.24/32.37 tff(17525,plain,
% 49.24/32.37 (v100(constB122) | (~v110(constB122))),
% 49.24/32.37 inference(unit_resolution,[status(thm)],[17524, 17517])).
% 49.24/32.37 tff(17526,plain,
% 49.24/32.37 (v100(constB122)),
% 49.24/32.37 inference(unit_resolution,[status(thm)],[17525, 17500])).
% 49.24/32.37 tff(17527,plain,
% 49.24/32.37 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB121)) | v130(constB121, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB121)) | v130(constB121, bitIndex2))),
% 49.24/32.37 inference(rewrite,[status(thm)],[])).
% 49.24/32.37 tff(17528,plain,
% 49.24/32.37 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB121)) | v130(constB121, bitIndex2))),
% 49.24/32.37 inference(quant_inst,[status(thm)],[])).
% 49.24/32.37 tff(17529,plain,
% 49.24/32.37 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB121)) | v130(constB121, bitIndex2)),
% 49.24/32.37 inference(modus_ponens,[status(thm)],[17528, 17527])).
% 49.24/32.37 tff(17530,plain,
% 49.24/32.37 (v130(constB121, bitIndex2)),
% 49.24/32.37 inference(unit_resolution,[status(thm)],[17529, 1876, 17457])).
% 49.24/32.37 tff(17531,plain,
% 49.24/32.37 (((~![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))),
% 49.24/32.37 inference(rewrite,[status(thm)],[])).
% 49.24/32.37 tff(17532,plain,
% 49.24/32.37 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB121) | (~v130(constB121, bitIndex2)) | v127(constB121, bitIndex2))),
% 49.24/32.37 inference(quant_inst,[status(thm)],[])).
% 49.24/32.37 tff(17533,plain,
% 49.24/32.37 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB121) | (~v130(constB121, bitIndex2)) | v127(constB121, bitIndex2)),
% 49.24/32.37 inference(modus_ponens,[status(thm)],[17532, 17531])).
% 49.24/32.37 tff(17534,plain,
% 49.24/32.37 ((~v130(constB121, bitIndex2)) | v127(constB121, bitIndex2)),
% 49.24/32.37 inference(unit_resolution,[status(thm)],[17533, 351, 17477])).
% 49.24/32.37 tff(17535,plain,
% 49.24/32.37 (v127(constB121, bitIndex2)),
% 49.24/32.37 inference(unit_resolution,[status(thm)],[17534, 17530])).
% 49.24/32.37 tff(17536,plain,
% 49.24/32.37 (((~![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))),
% 49.24/32.37 inference(rewrite,[status(thm)],[])).
% 49.24/32.37 tff(17537,plain,
% 49.24/32.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB121, constB122)) | (~v127(constB121, bitIndex2)) | v129(constB122, bitIndex2))),
% 49.24/32.37 inference(quant_inst,[status(thm)],[])).
% 49.24/32.37 tff(17538,plain,
% 49.24/32.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB121, constB122)) | (~v127(constB121, bitIndex2)) | v129(constB122, bitIndex2)),
% 49.24/32.37 inference(modus_ponens,[status(thm)],[17537, 17536])).
% 49.24/32.37 tff(17539,plain,
% 49.24/32.37 ((~v127(constB121, bitIndex2)) | v129(constB122, bitIndex2)),
% 49.24/32.37 inference(unit_resolution,[status(thm)],[17538, 366, 17492])).
% 49.24/32.37 tff(17540,plain,
% 49.24/32.37 (v129(constB122, bitIndex2)),
% 49.24/32.37 inference(unit_resolution,[status(thm)],[17539, 17535])).
% 49.24/32.37 tff(17541,plain,
% 49.24/32.37 (((~![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)))),
% 49.24/32.37 inference(rewrite,[status(thm)],[])).
% 49.24/32.37 tff(17542,plain,
% 49.24/32.37 ((v90(constB122, bitIndex2) | (~v100(constB122)) | (~v129(constB122, bitIndex2))) <=> (v90(constB122, bitIndex2) | (~v129(constB122, bitIndex2)) | (~v100(constB122)))),
% 49.24/32.37 inference(rewrite,[status(thm)],[])).
% 49.24/32.37 tff(17543,plain,
% 49.24/32.37 (((~![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))))),
% 49.24/32.37 inference(monotonicity,[status(thm)],[17542])).
% 49.24/32.37 tff(17544,plain,
% 49.24/32.37 (((~![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)))),
% 49.24/32.37 inference(transitivity,[status(thm)],[17543, 17541])).
% 49.24/32.37 tff(17545,plain,
% 49.24/32.37 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB122, bitIndex2) | (~v100(constB122)) | (~v129(constB122, bitIndex2)))),
% 49.24/32.37 inference(quant_inst,[status(thm)],[])).
% 49.24/32.37 tff(17546,plain,
% 49.24/32.37 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB122, bitIndex2) | (~v129(constB122, bitIndex2)) | (~v100(constB122))),
% 49.24/32.37 inference(modus_ponens,[status(thm)],[17545, 17544])).
% 49.24/32.37 tff(17547,plain,
% 49.24/32.37 (v90(constB122, bitIndex2) | (~v100(constB122))),
% 49.24/32.37 inference(unit_resolution,[status(thm)],[17546, 381, 17540])).
% 49.24/32.37 tff(17548,plain,
% 49.24/32.37 (v90(constB122, bitIndex2)),
% 49.24/32.37 inference(unit_resolution,[status(thm)],[17547, 17526])).
% 49.24/32.37 tff(17549,plain,
% 49.24/32.37 ((~v1(constB123)) <=> (~v1(constB123))),
% 49.24/32.37 inference(rewrite,[status(thm)],[])).
% 49.24/32.37 tff(17550,axiom,(~v1(constB123)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_123_1_1')).
% 49.24/32.37 tff(17551,plain,
% 49.24/32.37 (~v1(constB123)),
% 49.24/32.37 inference(modus_ponens,[status(thm)],[17550, 17549])).
% 49.24/32.37 tff(17552,plain,
% 49.24/32.37 (nextState(constB122, constB123) <=> nextState(constB122, constB123)),
% 49.24/32.37 inference(rewrite,[status(thm)],[])).
% 49.24/32.37 tff(17553,axiom,(nextState(constB122, constB123)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_122_1')).
% 49.24/32.37 tff(17554,plain,
% 49.24/32.37 (nextState(constB122, constB123)),
% 49.24/32.37 inference(modus_ponens,[status(thm)],[17553, 17552])).
% 49.24/32.37 tff(17555,plain,
% 49.24/32.37 (((~![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)))),
% 49.24/32.37 inference(rewrite,[status(thm)],[])).
% 49.24/32.37 tff(17556,plain,
% 49.24/32.37 (((~nextState(constB122, constB123)) | (~v101(constB123)) | v1(constB123)) <=> (v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123)))),
% 49.24/32.37 inference(rewrite,[status(thm)],[])).
% 49.24/32.37 tff(17557,plain,
% 49.24/32.37 (((~![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))))),
% 49.24/32.38 inference(monotonicity,[status(thm)],[17556])).
% 49.24/32.38 tff(17558,plain,
% 49.24/32.38 (((~![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)))),
% 49.24/32.38 inference(transitivity,[status(thm)],[17557, 17555])).
% 49.24/32.38 tff(17559,plain,
% 49.24/32.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB122, constB123)) | (~v101(constB123)) | v1(constB123))),
% 49.24/32.38 inference(quant_inst,[status(thm)],[])).
% 49.24/32.38 tff(17560,plain,
% 49.24/32.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123))),
% 49.24/32.38 inference(modus_ponens,[status(thm)],[17559, 17558])).
% 49.24/32.38 tff(17561,plain,
% 49.24/32.38 (~v101(constB123)),
% 49.24/32.38 inference(unit_resolution,[status(thm)],[17560, 49, 17554, 17551])).
% 49.24/32.38 tff(17562,plain,
% 49.24/32.38 (((~![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)))),
% 49.24/32.38 inference(rewrite,[status(thm)],[])).
% 49.24/32.38 tff(17563,plain,
% 49.24/32.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB122, constB123)) | v101(constB123) | (~v100(constB123)))),
% 49.24/32.38 inference(quant_inst,[status(thm)],[])).
% 49.24/32.38 tff(17564,plain,
% 49.24/32.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB122, constB123)) | v101(constB123) | (~v100(constB123))),
% 49.24/32.38 inference(modus_ponens,[status(thm)],[17563, 17562])).
% 49.24/32.38 tff(17565,plain,
% 49.24/32.38 (v101(constB123) | (~v100(constB123))),
% 49.24/32.38 inference(unit_resolution,[status(thm)],[17564, 66, 17554])).
% 49.24/32.38 tff(17566,plain,
% 49.24/32.38 (~v100(constB123)),
% 49.24/32.38 inference(unit_resolution,[status(thm)],[17565, 17561])).
% 49.24/32.38 tff(17567,plain,
% 49.24/32.38 (((~![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))),
% 49.24/32.38 inference(rewrite,[status(thm)],[])).
% 49.24/32.38 tff(17568,plain,
% 49.24/32.38 (((~nextState(constB122, constB123)) | (~v90(constB122, bitIndex2)) | v100(constB123) | v90(constB123, bitIndex2)) <=> ((~v90(constB122, bitIndex2)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, bitIndex2))),
% 49.24/32.38 inference(rewrite,[status(thm)],[])).
% 49.24/32.38 tff(17569,plain,
% 49.24/32.38 (((~![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)))),
% 49.24/32.38 inference(monotonicity,[status(thm)],[17568])).
% 49.24/32.38 tff(17570,plain,
% 49.24/32.38 (((~![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))),
% 49.24/32.38 inference(transitivity,[status(thm)],[17569, 17567])).
% 49.24/32.38 tff(17571,plain,
% 49.24/32.38 ((~![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))),
% 49.24/32.38 inference(quant_inst,[status(thm)],[])).
% 49.24/32.38 tff(17572,plain,
% 49.24/32.38 ((~![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)),
% 49.24/32.38 inference(modus_ponens,[status(thm)],[17571, 17570])).
% 49.24/32.38 tff(17573,plain,
% 49.24/32.38 ((~v90(constB122, bitIndex2)) | v100(constB123) | v90(constB123, bitIndex2)),
% 49.24/32.38 inference(unit_resolution,[status(thm)],[17572, 417, 17554])).
% 49.24/32.38 tff(17574,plain,
% 49.24/32.38 ((~v90(constB122, bitIndex2)) | v90(constB123, bitIndex2)),
% 49.24/32.38 inference(unit_resolution,[status(thm)],[17573, 17566])).
% 49.24/32.38 tff(17575,plain,
% 49.24/32.38 (v90(constB123, bitIndex2)),
% 49.24/32.38 inference(unit_resolution,[status(thm)],[17574, 17548])).
% 49.24/32.38 tff(17576,plain,
% 49.24/32.38 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB121)) | (~v130(constB121, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB121)) | (~v130(constB121, bitIndex1)))),
% 49.24/32.38 inference(rewrite,[status(thm)],[])).
% 49.24/32.38 tff(17577,plain,
% 49.24/32.38 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB121)) | (~v130(constB121, bitIndex1)))),
% 49.24/32.38 inference(quant_inst,[status(thm)],[])).
% 49.24/32.38 tff(17578,plain,
% 49.24/32.38 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB121)) | (~v130(constB121, bitIndex1))),
% 49.24/32.38 inference(modus_ponens,[status(thm)],[17577, 17576])).
% 49.24/32.38 tff(17579,plain,
% 49.24/32.38 (~v130(constB121, bitIndex1)),
% 49.24/32.38 inference(unit_resolution,[status(thm)],[17578, 1935, 17457])).
% 49.24/32.38 tff(17580,plain,
% 49.24/32.38 (((~![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))),
% 49.24/32.38 inference(rewrite,[status(thm)],[])).
% 49.24/32.38 tff(17581,plain,
% 49.24/32.38 ((v26(constB121) | v130(constB121, bitIndex1) | (~v127(constB121, bitIndex1))) <=> ((~v127(constB121, bitIndex1)) | v26(constB121) | v130(constB121, bitIndex1))),
% 49.24/32.38 inference(rewrite,[status(thm)],[])).
% 49.24/32.38 tff(17582,plain,
% 49.24/32.38 (((~![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)))),
% 49.24/32.38 inference(monotonicity,[status(thm)],[17581])).
% 49.24/32.38 tff(17583,plain,
% 49.24/32.38 (((~![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))),
% 49.24/32.38 inference(transitivity,[status(thm)],[17582, 17580])).
% 49.24/32.38 tff(17584,plain,
% 49.24/32.38 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB121) | v130(constB121, bitIndex1) | (~v127(constB121, bitIndex1)))),
% 49.24/32.38 inference(quant_inst,[status(thm)],[])).
% 49.24/32.38 tff(17585,plain,
% 49.24/32.38 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB121, bitIndex1)) | v26(constB121) | v130(constB121, bitIndex1)),
% 49.24/32.38 inference(modus_ponens,[status(thm)],[17584, 17583])).
% 49.24/32.38 tff(17586,plain,
% 49.24/32.38 ((~v127(constB121, bitIndex1)) | v130(constB121, bitIndex1)),
% 49.24/32.38 inference(unit_resolution,[status(thm)],[17585, 450, 17477])).
% 49.24/32.38 tff(17587,plain,
% 49.24/32.38 (~v127(constB121, bitIndex1)),
% 49.24/32.38 inference(unit_resolution,[status(thm)],[17586, 17579])).
% 49.24/32.38 tff(17588,plain,
% 49.24/32.38 (((~![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)))),
% 49.24/32.38 inference(rewrite,[status(thm)],[])).
% 49.24/32.38 tff(17589,plain,
% 49.24/32.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB121, constB122)) | v127(constB121, bitIndex1) | (~v129(constB122, bitIndex1)))),
% 49.24/32.38 inference(quant_inst,[status(thm)],[])).
% 49.24/32.38 tff(17590,plain,
% 49.24/32.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB121, constB122)) | v127(constB121, bitIndex1) | (~v129(constB122, bitIndex1))),
% 49.24/32.38 inference(modus_ponens,[status(thm)],[17589, 17588])).
% 49.24/32.38 tff(17591,plain,
% 49.24/32.38 (v127(constB121, bitIndex1) | (~v129(constB122, bitIndex1))),
% 49.24/32.38 inference(unit_resolution,[status(thm)],[17590, 468, 17492])).
% 49.24/32.38 tff(17592,plain,
% 49.24/32.38 (~v129(constB122, bitIndex1)),
% 49.24/32.38 inference(unit_resolution,[status(thm)],[17591, 17587])).
% 49.24/32.38 tff(17593,plain,
% 49.24/32.38 (((~![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)))),
% 49.24/32.38 inference(rewrite,[status(thm)],[])).
% 49.24/32.38 tff(17594,plain,
% 49.24/32.38 (((~v90(constB122, bitIndex1)) | (~v100(constB122)) | v129(constB122, bitIndex1)) <=> ((~v90(constB122, bitIndex1)) | v129(constB122, bitIndex1) | (~v100(constB122)))),
% 49.24/32.38 inference(rewrite,[status(thm)],[])).
% 49.24/32.38 tff(17595,plain,
% 49.24/32.38 (((~![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))))),
% 49.24/32.38 inference(monotonicity,[status(thm)],[17594])).
% 49.24/32.38 tff(17596,plain,
% 49.24/32.38 (((~![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)))),
% 49.24/32.38 inference(transitivity,[status(thm)],[17595, 17593])).
% 49.24/32.38 tff(17597,plain,
% 49.24/32.38 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB122, bitIndex1)) | (~v100(constB122)) | v129(constB122, bitIndex1))),
% 49.24/32.38 inference(quant_inst,[status(thm)],[])).
% 49.24/32.38 tff(17598,plain,
% 49.24/32.38 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB122, bitIndex1)) | v129(constB122, bitIndex1) | (~v100(constB122))),
% 49.24/32.38 inference(modus_ponens,[status(thm)],[17597, 17596])).
% 49.24/32.38 tff(17599,plain,
% 49.24/32.38 ((~v90(constB122, bitIndex1)) | (~v100(constB122))),
% 49.24/32.38 inference(unit_resolution,[status(thm)],[17598, 483, 17592])).
% 49.24/32.38 tff(17600,plain,
% 49.24/32.38 (~v90(constB122, bitIndex1)),
% 49.24/32.38 inference(unit_resolution,[status(thm)],[17599, 17526])).
% 49.24/32.38 tff(17601,plain,
% 49.24/32.38 (((~![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)))),
% 49.24/32.38 inference(rewrite,[status(thm)],[])).
% 49.24/32.38 tff(17602,plain,
% 49.24/32.38 (((~nextState(constB122, constB123)) | v90(constB122, bitIndex1) | v100(constB123) | (~v90(constB123, bitIndex1))) <=> (v90(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex1)))),
% 49.24/32.38 inference(rewrite,[status(thm)],[])).
% 49.24/32.38 tff(17603,plain,
% 49.24/32.38 (((~![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))))),
% 49.24/32.38 inference(monotonicity,[status(thm)],[17602])).
% 49.24/32.38 tff(17604,plain,
% 49.24/32.38 (((~![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)))),
% 49.24/32.38 inference(transitivity,[status(thm)],[17603, 17601])).
% 49.24/32.38 tff(17605,plain,
% 49.24/32.38 ((~![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)))),
% 49.24/32.38 inference(quant_inst,[status(thm)],[])).
% 49.24/32.38 tff(17606,plain,
% 49.24/32.38 ((~![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))),
% 49.24/32.38 inference(modus_ponens,[status(thm)],[17605, 17604])).
% 49.24/32.38 tff(17607,plain,
% 49.24/32.38 (v90(constB122, bitIndex1) | v100(constB123) | (~v90(constB123, bitIndex1))),
% 49.24/32.38 inference(unit_resolution,[status(thm)],[17606, 102, 17554])).
% 49.24/32.38 tff(17608,plain,
% 49.24/32.38 (v90(constB122, bitIndex1) | (~v90(constB123, bitIndex1))),
% 49.24/32.38 inference(unit_resolution,[status(thm)],[17607, 17566])).
% 49.24/32.38 tff(17609,plain,
% 49.24/32.38 (~v90(constB123, bitIndex1)),
% 49.24/32.38 inference(unit_resolution,[status(thm)],[17608, 17600])).
% 49.24/32.38 tff(17610,plain,
% 49.24/32.38 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB121)) | (~v130(constB121, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB121)) | (~v130(constB121, bitIndex0)))),
% 49.24/32.38 inference(rewrite,[status(thm)],[])).
% 49.24/32.38 tff(17611,plain,
% 49.24/32.38 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB121)) | (~v130(constB121, bitIndex0)))),
% 49.24/32.38 inference(quant_inst,[status(thm)],[])).
% 49.24/32.38 tff(17612,plain,
% 49.24/32.38 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB121)) | (~v130(constB121, bitIndex0))),
% 49.24/32.38 inference(modus_ponens,[status(thm)],[17611, 17610])).
% 49.24/32.38 tff(17613,plain,
% 49.24/32.38 (~v130(constB121, bitIndex0)),
% 49.24/32.38 inference(unit_resolution,[status(thm)],[17612, 1997, 17457])).
% 49.24/32.38 tff(17614,plain,
% 49.24/32.38 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB121, bitIndex0)) | v26(constB121) | v130(constB121, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB121, bitIndex0)) | v26(constB121) | v130(constB121, bitIndex0))),
% 49.24/32.38 inference(rewrite,[status(thm)],[])).
% 49.24/32.38 tff(17615,plain,
% 49.24/32.38 ((v26(constB121) | v130(constB121, bitIndex0) | (~v127(constB121, bitIndex0))) <=> ((~v127(constB121, bitIndex0)) | v26(constB121) | v130(constB121, bitIndex0))),
% 49.24/32.38 inference(rewrite,[status(thm)],[])).
% 49.24/32.38 tff(17616,plain,
% 49.24/32.38 (((~![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)))) | ((~v127(constB121, bitIndex0)) | v26(constB121) | v130(constB121, bitIndex0)))),
% 49.24/32.38 inference(monotonicity,[status(thm)],[17615])).
% 49.24/32.38 tff(17617,plain,
% 49.24/32.38 (((~![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)))) | (~v127(constB121, bitIndex0)) | v26(constB121) | v130(constB121, bitIndex0))),
% 49.24/32.38 inference(transitivity,[status(thm)],[17616, 17614])).
% 49.24/32.38 tff(17618,plain,
% 49.24/32.38 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB121) | v130(constB121, bitIndex0) | (~v127(constB121, bitIndex0)))),
% 49.24/32.38 inference(quant_inst,[status(thm)],[])).
% 49.24/32.38 tff(17619,plain,
% 49.24/32.38 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB121, bitIndex0)) | v26(constB121) | v130(constB121, bitIndex0)),
% 49.24/32.38 inference(modus_ponens,[status(thm)],[17618, 17617])).
% 49.24/32.38 tff(17620,plain,
% 49.24/32.38 ((~v127(constB121, bitIndex0)) | v130(constB121, bitIndex0)),
% 49.24/32.38 inference(unit_resolution,[status(thm)],[17619, 524, 17477])).
% 49.24/32.38 tff(17621,plain,
% 49.24/32.38 (~v127(constB121, bitIndex0)),
% 49.24/32.38 inference(unit_resolution,[status(thm)],[17620, 17613])).
% 49.24/32.38 tff(17622,plain,
% 49.24/32.38 (((~![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)))),
% 49.24/32.38 inference(rewrite,[status(thm)],[])).
% 49.24/32.38 tff(17623,plain,
% 49.24/32.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB121, constB122)) | v127(constB121, bitIndex0) | (~v129(constB122, bitIndex0)))),
% 49.24/32.38 inference(quant_inst,[status(thm)],[])).
% 49.24/32.38 tff(17624,plain,
% 49.24/32.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB121, constB122)) | v127(constB121, bitIndex0) | (~v129(constB122, bitIndex0))),
% 49.24/32.38 inference(modus_ponens,[status(thm)],[17623, 17622])).
% 49.24/32.38 tff(17625,plain,
% 49.24/32.38 (v127(constB121, bitIndex0) | (~v129(constB122, bitIndex0))),
% 49.24/32.38 inference(unit_resolution,[status(thm)],[17624, 542, 17492])).
% 49.24/32.38 tff(17626,plain,
% 49.24/32.38 (~v129(constB122, bitIndex0)),
% 49.24/32.38 inference(unit_resolution,[status(thm)],[17625, 17621])).
% 49.24/32.38 tff(17627,plain,
% 49.24/32.38 (((~![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)))),
% 49.24/32.38 inference(rewrite,[status(thm)],[])).
% 49.24/32.38 tff(17628,plain,
% 49.24/32.38 (((~v90(constB122, bitIndex0)) | (~v100(constB122)) | v129(constB122, bitIndex0)) <=> ((~v90(constB122, bitIndex0)) | v129(constB122, bitIndex0) | (~v100(constB122)))),
% 49.24/32.38 inference(rewrite,[status(thm)],[])).
% 49.24/32.38 tff(17629,plain,
% 49.24/32.38 (((~![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))))),
% 49.24/32.38 inference(monotonicity,[status(thm)],[17628])).
% 49.24/32.38 tff(17630,plain,
% 49.24/32.38 (((~![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)))),
% 49.24/32.38 inference(transitivity,[status(thm)],[17629, 17627])).
% 49.24/32.38 tff(17631,plain,
% 49.24/32.38 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB122, bitIndex0)) | (~v100(constB122)) | v129(constB122, bitIndex0))),
% 49.24/32.38 inference(quant_inst,[status(thm)],[])).
% 49.24/32.38 tff(17632,plain,
% 49.24/32.38 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB122, bitIndex0)) | v129(constB122, bitIndex0) | (~v100(constB122))),
% 49.24/32.38 inference(modus_ponens,[status(thm)],[17631, 17630])).
% 49.24/32.38 tff(17633,plain,
% 49.24/32.38 ((~v90(constB122, bitIndex0)) | (~v100(constB122))),
% 49.24/32.38 inference(unit_resolution,[status(thm)],[17632, 557, 17626])).
% 49.24/32.38 tff(17634,plain,
% 49.24/32.38 (~v90(constB122, bitIndex0)),
% 49.24/32.38 inference(unit_resolution,[status(thm)],[17633, 17526])).
% 49.24/32.38 tff(17635,plain,
% 49.24/32.38 (((~![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)))),
% 49.24/32.38 inference(rewrite,[status(thm)],[])).
% 49.24/32.38 tff(17636,plain,
% 49.24/32.38 (((~nextState(constB122, constB123)) | v90(constB122, bitIndex0) | v100(constB123) | (~v90(constB123, bitIndex0))) <=> (v90(constB122, bitIndex0) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, bitIndex0)))),
% 49.24/32.38 inference(rewrite,[status(thm)],[])).
% 49.24/32.38 tff(17637,plain,
% 49.24/32.38 (((~![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))))),
% 49.24/32.38 inference(monotonicity,[status(thm)],[17636])).
% 49.24/32.38 tff(17638,plain,
% 49.24/32.38 (((~![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)))),
% 49.24/32.38 inference(transitivity,[status(thm)],[17637, 17635])).
% 49.24/32.38 tff(17639,plain,
% 49.24/32.38 ((~![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)))),
% 49.24/32.38 inference(quant_inst,[status(thm)],[])).
% 49.24/32.38 tff(17640,plain,
% 49.24/32.38 ((~![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))),
% 49.24/32.38 inference(modus_ponens,[status(thm)],[17639, 17638])).
% 49.24/32.38 tff(17641,plain,
% 49.24/32.38 (v90(constB122, bitIndex0) | v100(constB123) | (~v90(constB123, bitIndex0))),
% 49.24/32.38 inference(unit_resolution,[status(thm)],[17640, 123, 17554])).
% 49.24/32.38 tff(17642,plain,
% 49.24/32.38 (v90(constB122, bitIndex0) | (~v90(constB123, bitIndex0))),
% 49.24/32.38 inference(unit_resolution,[status(thm)],[17641, 17566])).
% 49.24/32.38 tff(17643,plain,
% 49.24/32.38 (~v90(constB123, bitIndex0)),
% 49.24/32.38 inference(unit_resolution,[status(thm)],[17642, 17634])).
% 49.24/32.38 tff(17644,plain,
% 49.24/32.38 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB123, bitIndex0) | v90(constB123, bitIndex1) | (~v90(constB123, bitIndex2)) | v123(constB123))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB123, bitIndex0) | v90(constB123, bitIndex1) | (~v90(constB123, bitIndex2)) | v123(constB123))),
% 49.24/32.38 inference(rewrite,[status(thm)],[])).
% 49.24/32.38 tff(17645,plain,
% 49.24/32.38 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB123, bitIndex0) | v90(constB123, bitIndex1) | (~v90(constB123, bitIndex2)) | v123(constB123))),
% 49.24/32.38 inference(quant_inst,[status(thm)],[])).
% 49.24/32.38 tff(17646,plain,
% 49.24/32.38 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB123, bitIndex0) | v90(constB123, bitIndex1) | (~v90(constB123, bitIndex2)) | v123(constB123)),
% 49.24/32.38 inference(modus_ponens,[status(thm)],[17645, 17644])).
% 49.24/32.38 tff(17647,plain,
% 49.24/32.38 (v123(constB123)),
% 49.24/32.38 inference(unit_resolution,[status(thm)],[17646, 584, 17643, 17609, 17575])).
% 49.24/32.38 tff(17648,plain,
% 49.24/32.38 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB123) | (~v123(constB123)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB123) | (~v123(constB123)))),
% 49.24/32.38 inference(rewrite,[status(thm)],[])).
% 49.24/32.38 tff(17649,plain,
% 49.24/32.38 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB123) | (~v123(constB123)))),
% 49.24/32.38 inference(quant_inst,[status(thm)],[])).
% 49.24/32.38 tff(17650,plain,
% 49.24/32.38 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB123) | (~v123(constB123))),
% 49.24/32.38 inference(modus_ponens,[status(thm)],[17649, 17648])).
% 49.24/32.38 tff(17651,plain,
% 49.24/32.38 (v115(constB123)),
% 49.24/32.38 inference(unit_resolution,[status(thm)],[17650, 595, 17647])).
% 49.24/32.38 tff(17652,plain,
% 49.24/32.38 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB123) | (~v115(constB123)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB123) | (~v115(constB123)))),
% 49.24/32.38 inference(rewrite,[status(thm)],[])).
% 49.24/32.38 tff(17653,plain,
% 49.24/32.38 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB123) | (~v115(constB123)))),
% 49.24/32.38 inference(quant_inst,[status(thm)],[])).
% 49.24/32.38 tff(17654,plain,
% 49.24/32.38 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB123) | (~v115(constB123))),
% 49.24/32.38 inference(modus_ponens,[status(thm)],[17653, 17652])).
% 49.24/32.38 tff(17655,plain,
% 49.24/32.38 (v114(constB123)),
% 49.24/32.38 inference(unit_resolution,[status(thm)],[17654, 199, 17651])).
% 49.24/32.38 tff(17656,plain,
% 49.24/32.38 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB123) | (~v114(constB123)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB123) | (~v114(constB123)))),
% 49.24/32.38 inference(rewrite,[status(thm)],[])).
% 49.24/32.38 tff(17657,plain,
% 49.24/32.38 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB123) | (~v114(constB123)))),
% 49.24/32.38 inference(quant_inst,[status(thm)],[])).
% 49.24/32.38 tff(17658,plain,
% 49.24/32.38 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB123) | (~v114(constB123))),
% 49.24/32.38 inference(modus_ponens,[status(thm)],[17657, 17656])).
% 49.24/32.38 tff(17659,plain,
% 49.24/32.38 (v113(constB123)),
% 49.24/32.38 inference(unit_resolution,[status(thm)],[17658, 210, 17655])).
% 49.24/32.38 tff(17660,assumption,(v26(constB123)), introduced(assumption)).
% 49.24/32.38 tff(17661,plain,
% 49.24/32.38 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB123))),
% 49.24/32.38 inference(quant_inst,[status(thm)],[])).
% 49.24/32.38 tff(17662,plain,
% 49.24/32.38 ($false),
% 49.24/32.38 inference(unit_resolution,[status(thm)],[17661, 16, 17660])).
% 49.24/32.38 tff(17663,plain,(~v26(constB123)), inference(lemma,lemma(discharge,[]))).
% 49.24/32.38 tff(17664,plain,
% 49.24/32.38 (((~![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)))),
% 49.24/32.38 inference(rewrite,[status(thm)],[])).
% 49.24/32.38 tff(17665,plain,
% 49.24/32.38 ((v26(constB123) | (~v113(constB123)) | v112(constB123)) <=> (v26(constB123) | v112(constB123) | (~v113(constB123)))),
% 49.24/32.38 inference(rewrite,[status(thm)],[])).
% 49.24/32.38 tff(17666,plain,
% 49.24/32.38 (((~![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))))),
% 49.24/32.38 inference(monotonicity,[status(thm)],[17665])).
% 49.24/32.38 tff(17667,plain,
% 49.24/32.38 (((~![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)))),
% 49.24/32.38 inference(transitivity,[status(thm)],[17666, 17664])).
% 49.24/32.38 tff(17668,plain,
% 49.24/32.38 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB123) | (~v113(constB123)) | v112(constB123))),
% 49.24/32.38 inference(quant_inst,[status(thm)],[])).
% 49.24/32.38 tff(17669,plain,
% 49.24/32.38 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB123) | v112(constB123) | (~v113(constB123))),
% 49.24/32.38 inference(modus_ponens,[status(thm)],[17668, 17667])).
% 49.24/32.38 tff(17670,plain,
% 49.24/32.38 (v112(constB123) | (~v113(constB123))),
% 49.24/32.38 inference(unit_resolution,[status(thm)],[17669, 224, 17663])).
% 49.24/32.38 tff(17671,plain,
% 49.24/32.38 (v112(constB123)),
% 49.24/32.38 inference(unit_resolution,[status(thm)],[17670, 17659])).
% 49.24/32.38 tff(17672,plain,
% 49.24/32.38 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB123) | (~v112(constB123)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB123) | (~v112(constB123)))),
% 49.24/32.38 inference(rewrite,[status(thm)],[])).
% 49.24/32.38 tff(17673,plain,
% 49.24/32.38 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB123) | (~v112(constB123)))),
% 49.24/32.38 inference(quant_inst,[status(thm)],[])).
% 49.24/32.38 tff(17674,plain,
% 49.24/32.38 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB123) | (~v112(constB123))),
% 49.24/32.38 inference(modus_ponens,[status(thm)],[17673, 17672])).
% 49.24/32.38 tff(17675,plain,
% 49.24/32.38 (v108(constB123)),
% 49.24/32.38 inference(unit_resolution,[status(thm)],[17674, 236, 17671])).
% 49.24/32.38 tff(17676,plain,
% 49.24/32.38 (nextState(constB123, constB124) <=> nextState(constB123, constB124)),
% 49.24/32.38 inference(rewrite,[status(thm)],[])).
% 49.24/32.38 tff(17677,axiom,(nextState(constB123, constB124)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_123_1')).
% 49.24/32.38 tff(17678,plain,
% 49.24/32.38 (nextState(constB123, constB124)),
% 49.24/32.38 inference(modus_ponens,[status(thm)],[17677, 17676])).
% 49.24/32.38 tff(17679,plain,
% 49.24/32.38 (((~![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)))),
% 49.24/32.38 inference(rewrite,[status(thm)],[])).
% 49.24/32.38 tff(17680,plain,
% 49.24/32.38 (((~nextState(constB123, constB124)) | (~v108(constB123)) | v110(constB124)) <=> ((~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123)))),
% 49.24/32.39 inference(rewrite,[status(thm)],[])).
% 49.24/32.39 tff(17681,plain,
% 49.24/32.39 (((~![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))))),
% 49.24/32.39 inference(monotonicity,[status(thm)],[17680])).
% 49.24/32.39 tff(17682,plain,
% 49.24/32.39 (((~![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)))),
% 49.24/32.39 inference(transitivity,[status(thm)],[17681, 17679])).
% 49.24/32.39 tff(17683,plain,
% 49.24/32.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB123, constB124)) | (~v108(constB123)) | v110(constB124))),
% 49.24/32.39 inference(quant_inst,[status(thm)],[])).
% 49.24/32.39 tff(17684,plain,
% 49.24/32.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123))),
% 49.24/32.39 inference(modus_ponens,[status(thm)],[17683, 17682])).
% 49.24/32.39 tff(17685,plain,
% 49.24/32.39 (v110(constB124) | (~v108(constB123))),
% 49.24/32.39 inference(unit_resolution,[status(thm)],[17684, 253, 17678])).
% 49.24/32.39 tff(17686,plain,
% 49.24/32.39 (v110(constB124)),
% 49.24/32.39 inference(unit_resolution,[status(thm)],[17685, 17675])).
% 49.24/32.39 tff(17687,plain,
% 49.24/32.39 (((~![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)))),
% 49.24/32.39 inference(rewrite,[status(thm)],[])).
% 49.24/32.39 tff(17688,plain,
% 49.24/32.39 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB123) | (~nextState(constB123, constB124)) | (~v104(constB124)))),
% 49.24/32.39 inference(quant_inst,[status(thm)],[])).
% 49.24/32.39 tff(17689,plain,
% 49.24/32.39 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB123) | (~nextState(constB123, constB124)) | (~v104(constB124))),
% 49.24/32.39 inference(modus_ponens,[status(thm)],[17688, 17687])).
% 49.24/32.39 tff(17690,plain,
% 49.24/32.39 (~v104(constB124)),
% 49.24/32.39 inference(unit_resolution,[status(thm)],[17689, 271, 17678, 17551])).
% 49.24/32.39 tff(17691,plain,
% 49.24/32.39 (((~![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))),
% 49.24/32.39 inference(rewrite,[status(thm)],[])).
% 49.24/32.39 tff(17692,plain,
% 49.24/32.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB123, constB124)) | v102(constB124) | v104(constB124))),
% 49.24/32.39 inference(quant_inst,[status(thm)],[])).
% 49.24/32.39 tff(17693,plain,
% 49.24/32.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB123, constB124)) | v102(constB124) | v104(constB124)),
% 49.24/32.39 inference(modus_ponens,[status(thm)],[17692, 17691])).
% 49.24/32.39 tff(17694,plain,
% 49.24/32.39 (v102(constB124) | v104(constB124)),
% 49.24/32.39 inference(unit_resolution,[status(thm)],[17693, 285, 17678])).
% 49.24/32.39 tff(17695,plain,
% 49.24/32.39 (v102(constB124)),
% 49.24/32.39 inference(unit_resolution,[status(thm)],[17694, 17690])).
% 49.24/32.39 tff(17696,plain,
% 49.24/32.39 (v1(constB124) <=> v1(constB124)),
% 49.24/32.39 inference(rewrite,[status(thm)],[])).
% 49.24/32.39 tff(17697,axiom,(v1(constB124)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_124_1')).
% 49.24/32.39 tff(17698,plain,
% 49.24/32.39 (v1(constB124)),
% 49.24/32.39 inference(modus_ponens,[status(thm)],[17697, 17696])).
% 49.24/32.39 tff(17699,plain,
% 49.24/32.39 (((~![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)))),
% 49.24/32.39 inference(rewrite,[status(thm)],[])).
% 49.24/32.39 tff(17700,plain,
% 49.24/32.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB123, constB124)) | v101(constB124) | (~v102(constB124)) | (~v1(constB124)))),
% 49.24/32.39 inference(quant_inst,[status(thm)],[])).
% 49.24/32.39 tff(17701,plain,
% 49.24/32.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB123, constB124)) | v101(constB124) | (~v102(constB124)) | (~v1(constB124))),
% 49.24/32.39 inference(modus_ponens,[status(thm)],[17700, 17699])).
% 49.24/32.39 tff(17702,plain,
% 49.24/32.39 (v101(constB124) | (~v102(constB124))),
% 49.24/32.39 inference(unit_resolution,[status(thm)],[17701, 303, 17678, 17698])).
% 49.24/32.39 tff(17703,plain,
% 49.24/32.39 (v101(constB124)),
% 49.24/32.39 inference(unit_resolution,[status(thm)],[17702, 17695])).
% 49.24/32.39 tff(17704,plain,
% 49.24/32.39 (((~![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)))),
% 49.24/32.39 inference(rewrite,[status(thm)],[])).
% 49.24/32.39 tff(17705,plain,
% 49.24/32.39 (((~nextState(constB123, constB124)) | (~v101(constB124)) | (~v110(constB124)) | v100(constB124)) <=> ((~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124)))),
% 49.34/32.39 inference(rewrite,[status(thm)],[])).
% 49.34/32.39 tff(17706,plain,
% 49.34/32.39 (((~![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))))),
% 49.34/32.39 inference(monotonicity,[status(thm)],[17705])).
% 49.34/32.39 tff(17707,plain,
% 49.34/32.39 (((~![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)))),
% 49.34/32.39 inference(transitivity,[status(thm)],[17706, 17704])).
% 49.34/32.39 tff(17708,plain,
% 49.34/32.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB123, constB124)) | (~v101(constB124)) | (~v110(constB124)) | v100(constB124))),
% 49.34/32.39 inference(quant_inst,[status(thm)],[])).
% 49.34/32.39 tff(17709,plain,
% 49.34/32.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124))),
% 49.34/32.39 inference(modus_ponens,[status(thm)],[17708, 17707])).
% 49.34/32.39 tff(17710,plain,
% 49.34/32.39 (v100(constB124) | (~v101(constB124)) | (~v110(constB124))),
% 49.34/32.39 inference(unit_resolution,[status(thm)],[17709, 318, 17678])).
% 49.34/32.39 tff(17711,plain,
% 49.34/32.39 (v100(constB124) | (~v110(constB124))),
% 49.34/32.39 inference(unit_resolution,[status(thm)],[17710, 17703])).
% 49.34/32.39 tff(17712,plain,
% 49.34/32.39 (v100(constB124)),
% 49.34/32.39 inference(unit_resolution,[status(thm)],[17711, 17686])).
% 49.34/32.39 tff(17713,plain,
% 49.34/32.39 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB123)) | v130(constB123, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB123)) | v130(constB123, bitIndex2))),
% 49.34/32.39 inference(rewrite,[status(thm)],[])).
% 49.34/32.39 tff(17714,plain,
% 49.34/32.39 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB123)) | v130(constB123, bitIndex2))),
% 49.34/32.39 inference(quant_inst,[status(thm)],[])).
% 49.34/32.39 tff(17715,plain,
% 49.34/32.39 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB123)) | v130(constB123, bitIndex2)),
% 49.34/32.39 inference(modus_ponens,[status(thm)],[17714, 17713])).
% 49.34/32.39 tff(17716,plain,
% 49.34/32.39 (v130(constB123, bitIndex2)),
% 49.34/32.39 inference(unit_resolution,[status(thm)],[17715, 836, 17647])).
% 49.34/32.39 tff(17717,plain,
% 49.34/32.39 (((~![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))),
% 49.34/32.39 inference(rewrite,[status(thm)],[])).
% 49.34/32.39 tff(17718,plain,
% 49.34/32.39 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB123) | (~v130(constB123, bitIndex2)) | v127(constB123, bitIndex2))),
% 49.34/32.39 inference(quant_inst,[status(thm)],[])).
% 49.34/32.39 tff(17719,plain,
% 49.34/32.39 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB123) | (~v130(constB123, bitIndex2)) | v127(constB123, bitIndex2)),
% 49.34/32.39 inference(modus_ponens,[status(thm)],[17718, 17717])).
% 49.34/32.39 tff(17720,plain,
% 49.34/32.39 ((~v130(constB123, bitIndex2)) | v127(constB123, bitIndex2)),
% 49.34/32.39 inference(unit_resolution,[status(thm)],[17719, 351, 17663])).
% 49.34/32.39 tff(17721,plain,
% 49.34/32.39 (v127(constB123, bitIndex2)),
% 49.34/32.39 inference(unit_resolution,[status(thm)],[17720, 17716])).
% 49.34/32.39 tff(17722,plain,
% 49.34/32.39 (((~![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))),
% 49.34/32.39 inference(rewrite,[status(thm)],[])).
% 49.34/32.39 tff(17723,plain,
% 49.34/32.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB123, constB124)) | (~v127(constB123, bitIndex2)) | v129(constB124, bitIndex2))),
% 49.34/32.39 inference(quant_inst,[status(thm)],[])).
% 49.34/32.39 tff(17724,plain,
% 49.34/32.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB123, constB124)) | (~v127(constB123, bitIndex2)) | v129(constB124, bitIndex2)),
% 49.34/32.39 inference(modus_ponens,[status(thm)],[17723, 17722])).
% 49.34/32.39 tff(17725,plain,
% 49.34/32.39 ((~v127(constB123, bitIndex2)) | v129(constB124, bitIndex2)),
% 49.34/32.39 inference(unit_resolution,[status(thm)],[17724, 366, 17678])).
% 49.34/32.39 tff(17726,plain,
% 49.34/32.39 (v129(constB124, bitIndex2)),
% 49.34/32.39 inference(unit_resolution,[status(thm)],[17725, 17721])).
% 49.34/32.39 tff(17727,plain,
% 49.34/32.39 (((~![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)))),
% 49.34/32.39 inference(rewrite,[status(thm)],[])).
% 49.34/32.39 tff(17728,plain,
% 49.34/32.39 ((v90(constB124, bitIndex2) | (~v100(constB124)) | (~v129(constB124, bitIndex2))) <=> (v90(constB124, bitIndex2) | (~v129(constB124, bitIndex2)) | (~v100(constB124)))),
% 49.34/32.39 inference(rewrite,[status(thm)],[])).
% 49.34/32.39 tff(17729,plain,
% 49.34/32.39 (((~![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))))),
% 49.34/32.39 inference(monotonicity,[status(thm)],[17728])).
% 49.34/32.39 tff(17730,plain,
% 49.34/32.39 (((~![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)))),
% 49.34/32.39 inference(transitivity,[status(thm)],[17729, 17727])).
% 49.34/32.39 tff(17731,plain,
% 49.34/32.39 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB124, bitIndex2) | (~v100(constB124)) | (~v129(constB124, bitIndex2)))),
% 49.34/32.39 inference(quant_inst,[status(thm)],[])).
% 49.34/32.39 tff(17732,plain,
% 49.34/32.39 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB124, bitIndex2) | (~v129(constB124, bitIndex2)) | (~v100(constB124))),
% 49.34/32.39 inference(modus_ponens,[status(thm)],[17731, 17730])).
% 49.34/32.39 tff(17733,plain,
% 49.34/32.39 (v90(constB124, bitIndex2) | (~v100(constB124))),
% 49.34/32.39 inference(unit_resolution,[status(thm)],[17732, 381, 17726])).
% 49.34/32.39 tff(17734,plain,
% 49.34/32.39 (v90(constB124, bitIndex2)),
% 49.34/32.39 inference(unit_resolution,[status(thm)],[17733, 17712])).
% 49.34/32.39 tff(17735,plain,
% 49.34/32.39 ((~v1(constB125)) <=> (~v1(constB125))),
% 49.34/32.39 inference(rewrite,[status(thm)],[])).
% 49.34/32.39 tff(17736,axiom,(~v1(constB125)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_125_1_1')).
% 49.34/32.39 tff(17737,plain,
% 49.34/32.39 (~v1(constB125)),
% 49.34/32.39 inference(modus_ponens,[status(thm)],[17736, 17735])).
% 49.34/32.39 tff(17738,plain,
% 49.34/32.39 (nextState(constB124, constB125) <=> nextState(constB124, constB125)),
% 49.34/32.39 inference(rewrite,[status(thm)],[])).
% 49.34/32.39 tff(17739,axiom,(nextState(constB124, constB125)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_124_1')).
% 49.34/32.39 tff(17740,plain,
% 49.34/32.39 (nextState(constB124, constB125)),
% 49.34/32.39 inference(modus_ponens,[status(thm)],[17739, 17738])).
% 49.34/32.39 tff(17741,plain,
% 49.34/32.39 (((~![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)))),
% 49.34/32.39 inference(rewrite,[status(thm)],[])).
% 49.34/32.39 tff(17742,plain,
% 49.34/32.39 (((~nextState(constB124, constB125)) | (~v101(constB125)) | v1(constB125)) <=> (v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125)))),
% 49.34/32.39 inference(rewrite,[status(thm)],[])).
% 49.34/32.39 tff(17743,plain,
% 49.34/32.39 (((~![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))))),
% 49.34/32.39 inference(monotonicity,[status(thm)],[17742])).
% 49.34/32.39 tff(17744,plain,
% 49.34/32.39 (((~![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)))),
% 49.34/32.39 inference(transitivity,[status(thm)],[17743, 17741])).
% 49.34/32.39 tff(17745,plain,
% 49.34/32.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB124, constB125)) | (~v101(constB125)) | v1(constB125))),
% 49.34/32.39 inference(quant_inst,[status(thm)],[])).
% 49.34/32.39 tff(17746,plain,
% 49.34/32.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125))),
% 49.34/32.39 inference(modus_ponens,[status(thm)],[17745, 17744])).
% 49.34/32.39 tff(17747,plain,
% 49.34/32.39 (~v101(constB125)),
% 49.34/32.39 inference(unit_resolution,[status(thm)],[17746, 49, 17740, 17737])).
% 49.34/32.39 tff(17748,plain,
% 49.34/32.39 (((~![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)))),
% 49.34/32.39 inference(rewrite,[status(thm)],[])).
% 49.34/32.39 tff(17749,plain,
% 49.34/32.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB124, constB125)) | v101(constB125) | (~v100(constB125)))),
% 49.34/32.39 inference(quant_inst,[status(thm)],[])).
% 49.34/32.39 tff(17750,plain,
% 49.34/32.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB124, constB125)) | v101(constB125) | (~v100(constB125))),
% 49.34/32.39 inference(modus_ponens,[status(thm)],[17749, 17748])).
% 49.34/32.39 tff(17751,plain,
% 49.34/32.39 (v101(constB125) | (~v100(constB125))),
% 49.34/32.39 inference(unit_resolution,[status(thm)],[17750, 66, 17740])).
% 49.34/32.39 tff(17752,plain,
% 49.34/32.39 (~v100(constB125)),
% 49.34/32.39 inference(unit_resolution,[status(thm)],[17751, 17747])).
% 49.34/32.39 tff(17753,plain,
% 49.34/32.39 (((~![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))),
% 49.34/32.39 inference(rewrite,[status(thm)],[])).
% 49.34/32.39 tff(17754,plain,
% 49.34/32.39 (((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex2)) | v100(constB125) | v90(constB125, bitIndex2)) <=> ((~v90(constB124, bitIndex2)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex2))),
% 49.34/32.39 inference(rewrite,[status(thm)],[])).
% 49.34/32.39 tff(17755,plain,
% 49.34/32.39 (((~![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)))),
% 49.34/32.39 inference(monotonicity,[status(thm)],[17754])).
% 49.34/32.39 tff(17756,plain,
% 49.34/32.39 (((~![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))),
% 49.34/32.39 inference(transitivity,[status(thm)],[17755, 17753])).
% 49.34/32.39 tff(17757,plain,
% 49.34/32.39 ((~![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))),
% 49.34/32.39 inference(quant_inst,[status(thm)],[])).
% 49.34/32.39 tff(17758,plain,
% 49.34/32.39 ((~![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)),
% 49.34/32.39 inference(modus_ponens,[status(thm)],[17757, 17756])).
% 49.34/32.39 tff(17759,plain,
% 49.34/32.39 ((~v90(constB124, bitIndex2)) | v100(constB125) | v90(constB125, bitIndex2)),
% 49.34/32.39 inference(unit_resolution,[status(thm)],[17758, 417, 17740])).
% 49.34/32.39 tff(17760,plain,
% 49.34/32.39 ((~v90(constB124, bitIndex2)) | v90(constB125, bitIndex2)),
% 49.34/32.39 inference(unit_resolution,[status(thm)],[17759, 17752])).
% 49.34/32.39 tff(17761,plain,
% 49.34/32.39 (v90(constB125, bitIndex2)),
% 49.34/32.39 inference(unit_resolution,[status(thm)],[17760, 17734])).
% 49.34/32.39 tff(17762,plain,
% 49.34/32.39 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB123)) | v130(constB123, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB123)) | v130(constB123, bitIndex1))),
% 49.34/32.39 inference(rewrite,[status(thm)],[])).
% 49.34/32.39 tff(17763,plain,
% 49.34/32.39 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB123)) | v130(constB123, bitIndex1))),
% 49.34/32.39 inference(quant_inst,[status(thm)],[])).
% 49.34/32.39 tff(17764,plain,
% 49.34/32.39 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB123)) | v130(constB123, bitIndex1)),
% 49.34/32.39 inference(modus_ponens,[status(thm)],[17763, 17762])).
% 49.34/32.39 tff(17765,plain,
% 49.34/32.39 (v130(constB123, bitIndex1)),
% 49.34/32.39 inference(unit_resolution,[status(thm)],[17764, 667, 17647])).
% 49.34/32.39 tff(17766,plain,
% 49.34/32.39 (((~![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))),
% 49.34/32.39 inference(rewrite,[status(thm)],[])).
% 49.34/32.39 tff(17767,plain,
% 49.34/32.39 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB123) | (~v130(constB123, bitIndex1)) | v127(constB123, bitIndex1))),
% 49.34/32.39 inference(quant_inst,[status(thm)],[])).
% 49.34/32.39 tff(17768,plain,
% 49.34/32.39 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB123) | (~v130(constB123, bitIndex1)) | v127(constB123, bitIndex1)),
% 49.34/32.39 inference(modus_ponens,[status(thm)],[17767, 17766])).
% 49.34/32.39 tff(17769,plain,
% 49.34/32.39 ((~v130(constB123, bitIndex1)) | v127(constB123, bitIndex1)),
% 49.34/32.39 inference(unit_resolution,[status(thm)],[17768, 681, 17663])).
% 49.34/32.39 tff(17770,plain,
% 49.34/32.39 (v127(constB123, bitIndex1)),
% 49.34/32.39 inference(unit_resolution,[status(thm)],[17769, 17765])).
% 49.34/32.39 tff(17771,plain,
% 49.34/32.39 (((~![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))),
% 49.34/32.39 inference(rewrite,[status(thm)],[])).
% 49.34/32.39 tff(17772,plain,
% 49.34/32.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB123, constB124)) | (~v127(constB123, bitIndex1)) | v129(constB124, bitIndex1))),
% 49.34/32.39 inference(quant_inst,[status(thm)],[])).
% 49.34/32.39 tff(17773,plain,
% 49.34/32.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB123, constB124)) | (~v127(constB123, bitIndex1)) | v129(constB124, bitIndex1)),
% 49.34/32.39 inference(modus_ponens,[status(thm)],[17772, 17771])).
% 49.34/32.39 tff(17774,plain,
% 49.34/32.39 ((~v127(constB123, bitIndex1)) | v129(constB124, bitIndex1)),
% 49.34/32.39 inference(unit_resolution,[status(thm)],[17773, 696, 17678])).
% 49.34/32.39 tff(17775,plain,
% 49.34/32.39 (v129(constB124, bitIndex1)),
% 49.34/32.39 inference(unit_resolution,[status(thm)],[17774, 17770])).
% 49.34/32.39 tff(17776,plain,
% 49.34/32.39 (((~![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)))),
% 49.34/32.39 inference(rewrite,[status(thm)],[])).
% 49.34/32.39 tff(17777,plain,
% 49.34/32.39 ((v90(constB124, bitIndex1) | (~v100(constB124)) | (~v129(constB124, bitIndex1))) <=> (v90(constB124, bitIndex1) | (~v129(constB124, bitIndex1)) | (~v100(constB124)))),
% 49.34/32.39 inference(rewrite,[status(thm)],[])).
% 49.34/32.39 tff(17778,plain,
% 49.34/32.39 (((~![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))))),
% 49.34/32.39 inference(monotonicity,[status(thm)],[17777])).
% 49.34/32.39 tff(17779,plain,
% 49.34/32.39 (((~![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)))),
% 49.34/32.39 inference(transitivity,[status(thm)],[17778, 17776])).
% 49.34/32.39 tff(17780,plain,
% 49.34/32.39 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB124, bitIndex1) | (~v100(constB124)) | (~v129(constB124, bitIndex1)))),
% 49.34/32.39 inference(quant_inst,[status(thm)],[])).
% 49.34/32.39 tff(17781,plain,
% 49.34/32.39 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB124, bitIndex1) | (~v129(constB124, bitIndex1)) | (~v100(constB124))),
% 49.34/32.39 inference(modus_ponens,[status(thm)],[17780, 17779])).
% 49.34/32.39 tff(17782,plain,
% 49.34/32.39 (v90(constB124, bitIndex1) | (~v100(constB124))),
% 49.34/32.39 inference(unit_resolution,[status(thm)],[17781, 711, 17775])).
% 49.34/32.39 tff(17783,plain,
% 49.34/32.39 (v90(constB124, bitIndex1)),
% 49.34/32.39 inference(unit_resolution,[status(thm)],[17782, 17712])).
% 49.34/32.39 tff(17784,plain,
% 49.34/32.39 (((~![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))),
% 49.34/32.39 inference(rewrite,[status(thm)],[])).
% 49.34/32.39 tff(17785,plain,
% 49.34/32.39 (((~nextState(constB124, constB125)) | (~v90(constB124, bitIndex1)) | v100(constB125) | v90(constB125, bitIndex1)) <=> ((~v90(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, bitIndex1))),
% 49.34/32.39 inference(rewrite,[status(thm)],[])).
% 49.34/32.39 tff(17786,plain,
% 49.34/32.39 (((~![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)))),
% 49.34/32.39 inference(monotonicity,[status(thm)],[17785])).
% 49.34/32.39 tff(17787,plain,
% 49.34/32.39 (((~![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))),
% 49.34/32.39 inference(transitivity,[status(thm)],[17786, 17784])).
% 49.34/32.39 tff(17788,plain,
% 49.34/32.39 ((~![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))),
% 49.34/32.39 inference(quant_inst,[status(thm)],[])).
% 49.34/32.39 tff(17789,plain,
% 49.34/32.39 ((~![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)),
% 49.34/32.39 inference(modus_ponens,[status(thm)],[17788, 17787])).
% 49.34/32.39 tff(17790,plain,
% 49.34/32.39 ((~v90(constB124, bitIndex1)) | v100(constB125) | v90(constB125, bitIndex1)),
% 49.34/32.39 inference(unit_resolution,[status(thm)],[17789, 747, 17740])).
% 49.34/32.39 tff(17791,plain,
% 49.34/32.39 ((~v90(constB124, bitIndex1)) | v90(constB125, bitIndex1)),
% 49.34/32.39 inference(unit_resolution,[status(thm)],[17790, 17752])).
% 49.34/32.39 tff(17792,plain,
% 49.34/32.39 (v90(constB125, bitIndex1)),
% 49.34/32.39 inference(unit_resolution,[status(thm)],[17791, 17783])).
% 49.34/32.39 tff(17793,plain,
% 49.34/32.39 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB123)) | (~v130(constB123, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB123)) | (~v130(constB123, bitIndex0)))),
% 49.34/32.39 inference(rewrite,[status(thm)],[])).
% 49.34/32.39 tff(17794,plain,
% 49.34/32.39 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB123)) | (~v130(constB123, bitIndex0)))),
% 49.34/32.39 inference(quant_inst,[status(thm)],[])).
% 49.34/32.39 tff(17795,plain,
% 49.34/32.39 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB123)) | (~v130(constB123, bitIndex0))),
% 49.34/32.39 inference(modus_ponens,[status(thm)],[17794, 17793])).
% 49.34/32.39 tff(17796,plain,
% 49.34/32.39 (~v130(constB123, bitIndex0)),
% 49.34/32.39 inference(unit_resolution,[status(thm)],[17795, 975, 17647])).
% 49.35/32.39 tff(17797,plain,
% 49.35/32.39 (((~![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))),
% 49.35/32.39 inference(rewrite,[status(thm)],[])).
% 49.35/32.39 tff(17798,plain,
% 49.35/32.39 ((v26(constB123) | v130(constB123, bitIndex0) | (~v127(constB123, bitIndex0))) <=> ((~v127(constB123, bitIndex0)) | v26(constB123) | v130(constB123, bitIndex0))),
% 49.35/32.39 inference(rewrite,[status(thm)],[])).
% 49.35/32.39 tff(17799,plain,
% 49.35/32.39 (((~![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)))),
% 49.35/32.39 inference(monotonicity,[status(thm)],[17798])).
% 49.35/32.39 tff(17800,plain,
% 49.35/32.39 (((~![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))),
% 49.35/32.39 inference(transitivity,[status(thm)],[17799, 17797])).
% 49.35/32.39 tff(17801,plain,
% 49.35/32.39 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB123) | v130(constB123, bitIndex0) | (~v127(constB123, bitIndex0)))),
% 49.35/32.39 inference(quant_inst,[status(thm)],[])).
% 49.35/32.39 tff(17802,plain,
% 49.35/32.39 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB123, bitIndex0)) | v26(constB123) | v130(constB123, bitIndex0)),
% 49.35/32.39 inference(modus_ponens,[status(thm)],[17801, 17800])).
% 49.35/32.39 tff(17803,plain,
% 49.35/32.39 ((~v127(constB123, bitIndex0)) | v130(constB123, bitIndex0)),
% 49.35/32.40 inference(unit_resolution,[status(thm)],[17802, 524, 17663])).
% 49.35/32.40 tff(17804,plain,
% 49.35/32.40 (~v127(constB123, bitIndex0)),
% 49.35/32.40 inference(unit_resolution,[status(thm)],[17803, 17796])).
% 49.35/32.40 tff(17805,plain,
% 49.35/32.40 (((~![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)))),
% 49.35/32.40 inference(rewrite,[status(thm)],[])).
% 49.35/32.40 tff(17806,plain,
% 49.35/32.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB123, constB124)) | v127(constB123, bitIndex0) | (~v129(constB124, bitIndex0)))),
% 49.35/32.40 inference(quant_inst,[status(thm)],[])).
% 49.35/32.40 tff(17807,plain,
% 49.35/32.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB123, constB124)) | v127(constB123, bitIndex0) | (~v129(constB124, bitIndex0))),
% 49.35/32.40 inference(modus_ponens,[status(thm)],[17806, 17805])).
% 49.35/32.40 tff(17808,plain,
% 49.35/32.40 (v127(constB123, bitIndex0) | (~v129(constB124, bitIndex0))),
% 49.35/32.40 inference(unit_resolution,[status(thm)],[17807, 542, 17678])).
% 49.35/32.40 tff(17809,plain,
% 49.35/32.40 (~v129(constB124, bitIndex0)),
% 49.35/32.40 inference(unit_resolution,[status(thm)],[17808, 17804])).
% 49.35/32.40 tff(17810,plain,
% 49.35/32.40 (((~![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)))),
% 49.35/32.40 inference(rewrite,[status(thm)],[])).
% 49.35/32.40 tff(17811,plain,
% 49.35/32.40 (((~v90(constB124, bitIndex0)) | (~v100(constB124)) | v129(constB124, bitIndex0)) <=> ((~v90(constB124, bitIndex0)) | v129(constB124, bitIndex0) | (~v100(constB124)))),
% 49.35/32.40 inference(rewrite,[status(thm)],[])).
% 49.35/32.40 tff(17812,plain,
% 49.35/32.40 (((~![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))))),
% 49.35/32.40 inference(monotonicity,[status(thm)],[17811])).
% 49.35/32.40 tff(17813,plain,
% 49.35/32.40 (((~![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)))),
% 49.35/32.40 inference(transitivity,[status(thm)],[17812, 17810])).
% 49.35/32.40 tff(17814,plain,
% 49.35/32.40 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB124, bitIndex0)) | (~v100(constB124)) | v129(constB124, bitIndex0))),
% 49.35/32.40 inference(quant_inst,[status(thm)],[])).
% 49.35/32.40 tff(17815,plain,
% 49.35/32.40 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB124, bitIndex0)) | v129(constB124, bitIndex0) | (~v100(constB124))),
% 49.35/32.40 inference(modus_ponens,[status(thm)],[17814, 17813])).
% 49.35/32.40 tff(17816,plain,
% 49.35/32.40 ((~v90(constB124, bitIndex0)) | (~v100(constB124))),
% 49.35/32.40 inference(unit_resolution,[status(thm)],[17815, 557, 17809])).
% 49.35/32.40 tff(17817,plain,
% 49.35/32.40 (~v90(constB124, bitIndex0)),
% 49.35/32.40 inference(unit_resolution,[status(thm)],[17816, 17712])).
% 49.35/32.40 tff(17818,plain,
% 49.35/32.40 (((~![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)))),
% 49.35/32.40 inference(rewrite,[status(thm)],[])).
% 49.35/32.40 tff(17819,plain,
% 49.35/32.40 (((~nextState(constB124, constB125)) | v90(constB124, bitIndex0) | v100(constB125) | (~v90(constB125, bitIndex0))) <=> (v90(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, bitIndex0)))),
% 49.35/32.40 inference(rewrite,[status(thm)],[])).
% 49.35/32.40 tff(17820,plain,
% 49.35/32.40 (((~![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))))),
% 49.35/32.40 inference(monotonicity,[status(thm)],[17819])).
% 49.35/32.40 tff(17821,plain,
% 49.35/32.40 (((~![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)))),
% 49.35/32.40 inference(transitivity,[status(thm)],[17820, 17818])).
% 49.35/32.40 tff(17822,plain,
% 49.35/32.40 ((~![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)))),
% 49.35/32.40 inference(quant_inst,[status(thm)],[])).
% 49.35/32.40 tff(17823,plain,
% 49.35/32.40 ((~![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))),
% 49.35/32.40 inference(modus_ponens,[status(thm)],[17822, 17821])).
% 49.35/32.40 tff(17824,plain,
% 49.35/32.40 (v90(constB124, bitIndex0) | v100(constB125) | (~v90(constB125, bitIndex0))),
% 49.35/32.40 inference(unit_resolution,[status(thm)],[17823, 123, 17740])).
% 49.35/32.40 tff(17825,plain,
% 49.35/32.40 (v90(constB124, bitIndex0) | (~v90(constB125, bitIndex0))),
% 49.35/32.40 inference(unit_resolution,[status(thm)],[17824, 17752])).
% 49.35/32.40 tff(17826,plain,
% 49.35/32.40 (~v90(constB125, bitIndex0)),
% 49.35/32.40 inference(unit_resolution,[status(thm)],[17825, 17817])).
% 49.35/32.40 tff(17827,plain,
% 49.35/32.40 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | (~v90(constB125, bitIndex2)) | v125(constB125))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | (~v90(constB125, bitIndex2)) | v125(constB125))),
% 49.35/32.40 inference(rewrite,[status(thm)],[])).
% 49.35/32.40 tff(17828,plain,
% 49.35/32.40 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | (~v90(constB125, bitIndex2)) | v125(constB125))),
% 49.35/32.40 inference(quant_inst,[status(thm)],[])).
% 49.35/32.40 tff(17829,plain,
% 49.35/32.40 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB125, bitIndex0) | (~v90(constB125, bitIndex1)) | (~v90(constB125, bitIndex2)) | v125(constB125)),
% 49.35/32.40 inference(modus_ponens,[status(thm)],[17828, 17827])).
% 49.35/32.40 tff(17830,plain,
% 49.35/32.40 (v125(constB125)),
% 49.35/32.40 inference(unit_resolution,[status(thm)],[17829, 1019, 17826, 17792, 17761])).
% 49.35/32.40 tff(17831,plain,
% 49.35/32.40 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB125) | (~v125(constB125)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB125) | (~v125(constB125)))),
% 49.35/32.40 inference(rewrite,[status(thm)],[])).
% 49.35/32.40 tff(17832,plain,
% 49.35/32.40 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB125) | (~v125(constB125)))),
% 49.35/32.40 inference(quant_inst,[status(thm)],[])).
% 49.35/32.40 tff(17833,plain,
% 49.35/32.40 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB125) | (~v125(constB125))),
% 49.35/32.40 inference(modus_ponens,[status(thm)],[17832, 17831])).
% 49.35/32.40 tff(17834,plain,
% 49.35/32.40 (v113(constB125)),
% 49.35/32.40 inference(unit_resolution,[status(thm)],[17833, 1031, 17830])).
% 49.35/32.40 tff(17835,assumption,(v26(constB125)), introduced(assumption)).
% 49.35/32.40 tff(17836,plain,
% 49.35/32.40 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB125))),
% 49.35/32.40 inference(quant_inst,[status(thm)],[])).
% 49.35/32.40 tff(17837,plain,
% 49.35/32.40 ($false),
% 49.35/32.40 inference(unit_resolution,[status(thm)],[17836, 16, 17835])).
% 49.35/32.40 tff(17838,plain,(~v26(constB125)), inference(lemma,lemma(discharge,[]))).
% 49.35/32.40 tff(17839,plain,
% 49.35/32.40 (((~![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))),
% 49.35/32.40 inference(rewrite,[status(thm)],[])).
% 49.35/32.40 tff(17840,plain,
% 49.35/32.40 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB125) | (~v113(constB125)) | v112(constB125))),
% 49.35/32.40 inference(quant_inst,[status(thm)],[])).
% 49.35/32.40 tff(17841,plain,
% 49.35/32.40 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB125) | (~v113(constB125)) | v112(constB125)),
% 49.35/32.40 inference(modus_ponens,[status(thm)],[17840, 17839])).
% 49.35/32.40 tff(17842,plain,
% 49.35/32.40 ((~v113(constB125)) | v112(constB125)),
% 49.35/32.40 inference(unit_resolution,[status(thm)],[17841, 224, 17838])).
% 49.35/32.40 tff(17843,plain,
% 49.35/32.40 (v112(constB125)),
% 49.35/32.40 inference(unit_resolution,[status(thm)],[17842, 17834])).
% 49.35/32.40 tff(17844,plain,
% 49.35/32.40 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB125) | (~v112(constB125)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB125) | (~v112(constB125)))),
% 49.35/32.40 inference(rewrite,[status(thm)],[])).
% 49.35/32.40 tff(17845,plain,
% 49.35/32.40 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB125) | (~v112(constB125)))),
% 49.35/32.40 inference(quant_inst,[status(thm)],[])).
% 49.35/32.40 tff(17846,plain,
% 49.35/32.40 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB125) | (~v112(constB125))),
% 49.35/32.40 inference(modus_ponens,[status(thm)],[17845, 17844])).
% 49.35/32.40 tff(17847,plain,
% 49.35/32.40 (v108(constB125)),
% 49.35/32.40 inference(unit_resolution,[status(thm)],[17846, 236, 17843])).
% 49.35/32.40 tff(17848,plain,
% 49.35/32.40 (nextState(constB125, constB126) <=> nextState(constB125, constB126)),
% 49.35/32.40 inference(rewrite,[status(thm)],[])).
% 49.35/32.40 tff(17849,axiom,(nextState(constB125, constB126)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_125_1')).
% 49.35/32.40 tff(17850,plain,
% 49.35/32.40 (nextState(constB125, constB126)),
% 49.35/32.40 inference(modus_ponens,[status(thm)],[17849, 17848])).
% 49.35/32.40 tff(17851,plain,
% 49.35/32.40 (((~![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)))),
% 49.35/32.40 inference(rewrite,[status(thm)],[])).
% 49.35/32.40 tff(17852,plain,
% 49.35/32.40 (((~nextState(constB125, constB126)) | (~v108(constB125)) | v110(constB126)) <=> ((~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125)))),
% 49.35/32.40 inference(rewrite,[status(thm)],[])).
% 49.35/32.40 tff(17853,plain,
% 49.35/32.40 (((~![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))))),
% 49.35/32.40 inference(monotonicity,[status(thm)],[17852])).
% 49.35/32.40 tff(17854,plain,
% 49.35/32.40 (((~![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)))),
% 49.35/32.40 inference(transitivity,[status(thm)],[17853, 17851])).
% 49.35/32.40 tff(17855,plain,
% 49.35/32.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB125, constB126)) | (~v108(constB125)) | v110(constB126))),
% 49.35/32.40 inference(quant_inst,[status(thm)],[])).
% 49.35/32.40 tff(17856,plain,
% 49.35/32.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125))),
% 49.35/32.40 inference(modus_ponens,[status(thm)],[17855, 17854])).
% 49.35/32.40 tff(17857,plain,
% 49.35/32.40 (v110(constB126) | (~v108(constB125))),
% 49.35/32.40 inference(unit_resolution,[status(thm)],[17856, 253, 17850])).
% 49.35/32.40 tff(17858,plain,
% 49.35/32.40 (v110(constB126)),
% 49.35/32.40 inference(unit_resolution,[status(thm)],[17857, 17847])).
% 49.35/32.40 tff(17859,plain,
% 49.35/32.40 (((~![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)))),
% 49.35/32.40 inference(rewrite,[status(thm)],[])).
% 49.35/32.40 tff(17860,plain,
% 49.35/32.40 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB125) | (~nextState(constB125, constB126)) | (~v104(constB126)))),
% 49.35/32.40 inference(quant_inst,[status(thm)],[])).
% 49.35/32.40 tff(17861,plain,
% 49.35/32.40 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB125) | (~nextState(constB125, constB126)) | (~v104(constB126))),
% 49.35/32.40 inference(modus_ponens,[status(thm)],[17860, 17859])).
% 49.35/32.40 tff(17862,plain,
% 49.35/32.40 (~v104(constB126)),
% 49.35/32.40 inference(unit_resolution,[status(thm)],[17861, 271, 17850, 17737])).
% 49.35/32.40 tff(17863,plain,
% 49.35/32.40 (((~![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))),
% 49.35/32.40 inference(rewrite,[status(thm)],[])).
% 49.35/32.40 tff(17864,plain,
% 49.35/32.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB125, constB126)) | v102(constB126) | v104(constB126))),
% 49.35/32.40 inference(quant_inst,[status(thm)],[])).
% 49.35/32.40 tff(17865,plain,
% 49.35/32.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB125, constB126)) | v102(constB126) | v104(constB126)),
% 49.35/32.40 inference(modus_ponens,[status(thm)],[17864, 17863])).
% 49.35/32.40 tff(17866,plain,
% 49.35/32.40 (v102(constB126) | v104(constB126)),
% 49.35/32.40 inference(unit_resolution,[status(thm)],[17865, 285, 17850])).
% 49.35/32.40 tff(17867,plain,
% 49.35/32.40 (v102(constB126)),
% 49.35/32.40 inference(unit_resolution,[status(thm)],[17866, 17862])).
% 49.35/32.40 tff(17868,plain,
% 49.35/32.40 (v1(constB126) <=> v1(constB126)),
% 49.35/32.40 inference(rewrite,[status(thm)],[])).
% 49.35/32.40 tff(17869,axiom,(v1(constB126)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_126_1')).
% 49.35/32.40 tff(17870,plain,
% 49.35/32.40 (v1(constB126)),
% 49.35/32.40 inference(modus_ponens,[status(thm)],[17869, 17868])).
% 49.35/32.40 tff(17871,plain,
% 49.35/32.40 (((~![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)))),
% 49.35/32.40 inference(rewrite,[status(thm)],[])).
% 49.35/32.40 tff(17872,plain,
% 49.35/32.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB125, constB126)) | v101(constB126) | (~v102(constB126)) | (~v1(constB126)))),
% 49.35/32.40 inference(quant_inst,[status(thm)],[])).
% 49.35/32.40 tff(17873,plain,
% 49.35/32.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB125, constB126)) | v101(constB126) | (~v102(constB126)) | (~v1(constB126))),
% 49.35/32.40 inference(modus_ponens,[status(thm)],[17872, 17871])).
% 49.35/32.40 tff(17874,plain,
% 49.35/32.40 (v101(constB126) | (~v102(constB126))),
% 49.35/32.40 inference(unit_resolution,[status(thm)],[17873, 303, 17850, 17870])).
% 49.35/32.40 tff(17875,plain,
% 49.35/32.40 (v101(constB126)),
% 49.35/32.40 inference(unit_resolution,[status(thm)],[17874, 17867])).
% 49.35/32.40 tff(17876,plain,
% 49.35/32.40 (((~![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)))),
% 49.35/32.40 inference(rewrite,[status(thm)],[])).
% 49.35/32.40 tff(17877,plain,
% 49.35/32.40 (((~nextState(constB125, constB126)) | (~v101(constB126)) | (~v110(constB126)) | v100(constB126)) <=> ((~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126)))),
% 49.35/32.40 inference(rewrite,[status(thm)],[])).
% 49.35/32.40 tff(17878,plain,
% 49.35/32.40 (((~![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))))),
% 49.35/32.40 inference(monotonicity,[status(thm)],[17877])).
% 49.35/32.40 tff(17879,plain,
% 49.35/32.40 (((~![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)))),
% 49.35/32.40 inference(transitivity,[status(thm)],[17878, 17876])).
% 49.35/32.40 tff(17880,plain,
% 49.35/32.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB125, constB126)) | (~v101(constB126)) | (~v110(constB126)) | v100(constB126))),
% 49.35/32.40 inference(quant_inst,[status(thm)],[])).
% 49.35/32.40 tff(17881,plain,
% 49.35/32.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126))),
% 49.35/32.40 inference(modus_ponens,[status(thm)],[17880, 17879])).
% 49.35/32.40 tff(17882,plain,
% 49.35/32.40 (v100(constB126) | (~v101(constB126)) | (~v110(constB126))),
% 49.35/32.40 inference(unit_resolution,[status(thm)],[17881, 318, 17850])).
% 49.35/32.40 tff(17883,plain,
% 49.35/32.40 (v100(constB126) | (~v110(constB126))),
% 49.35/32.40 inference(unit_resolution,[status(thm)],[17882, 17875])).
% 49.35/32.40 tff(17884,plain,
% 49.35/32.40 (v100(constB126)),
% 49.35/32.40 inference(unit_resolution,[status(thm)],[17883, 17858])).
% 49.35/32.40 tff(17885,plain,
% 49.35/32.40 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB125, bitIndex2)) | (~v121(constB125)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB125, bitIndex2)) | (~v121(constB125)))),
% 49.35/32.40 inference(rewrite,[status(thm)],[])).
% 49.35/32.40 tff(17886,plain,
% 49.35/32.40 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB125, bitIndex2)) | (~v121(constB125)))),
% 49.35/32.40 inference(quant_inst,[status(thm)],[])).
% 49.35/32.40 tff(17887,plain,
% 49.35/32.40 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB125, bitIndex2)) | (~v121(constB125))),
% 49.35/32.40 inference(modus_ponens,[status(thm)],[17886, 17885])).
% 49.35/32.40 tff(17888,plain,
% 49.35/32.40 (~v121(constB125)),
% 49.35/32.40 inference(unit_resolution,[status(thm)],[17887, 883, 17761])).
% 49.35/32.40 tff(17889,plain,
% 49.35/32.40 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB125, bitIndex2)) | (~v122(constB125)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB125, bitIndex2)) | (~v122(constB125)))),
% 49.35/32.40 inference(rewrite,[status(thm)],[])).
% 49.35/32.40 tff(17890,plain,
% 49.35/32.40 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB125, bitIndex2)) | (~v122(constB125)))),
% 49.35/32.40 inference(quant_inst,[status(thm)],[])).
% 49.35/32.40 tff(17891,plain,
% 49.35/32.40 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB125, bitIndex2)) | (~v122(constB125))),
% 49.35/32.40 inference(modus_ponens,[status(thm)],[17890, 17889])).
% 49.35/32.40 tff(17892,plain,
% 49.35/32.40 (~v122(constB125)),
% 49.35/32.40 inference(unit_resolution,[status(thm)],[17891, 894, 17761])).
% 49.35/32.40 tff(17893,plain,
% 49.35/32.40 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB125)) | (~v90(constB125, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB125)) | (~v90(constB125, bitIndex1)))),
% 49.35/32.40 inference(rewrite,[status(thm)],[])).
% 49.35/32.40 tff(17894,plain,
% 49.35/32.40 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB125)) | (~v90(constB125, bitIndex1)))),
% 49.35/32.40 inference(quant_inst,[status(thm)],[])).
% 49.35/32.40 tff(17895,plain,
% 49.35/32.40 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB125)) | (~v90(constB125, bitIndex1))),
% 49.35/32.40 inference(modus_ponens,[status(thm)],[17894, 17893])).
% 49.35/32.40 tff(17896,plain,
% 49.35/32.40 (~v119(constB125)),
% 49.35/32.40 inference(unit_resolution,[status(thm)],[17895, 2293, 17792])).
% 49.35/32.40 tff(17897,plain,
% 49.35/32.40 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB125, bitIndex1)) | (~v124(constB125)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB125, bitIndex1)) | (~v124(constB125)))),
% 49.35/32.40 inference(rewrite,[status(thm)],[])).
% 49.35/32.40 tff(17898,plain,
% 49.35/32.40 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB125, bitIndex1)) | (~v124(constB125)))),
% 49.35/32.40 inference(quant_inst,[status(thm)],[])).
% 49.35/32.40 tff(17899,plain,
% 49.35/32.40 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB125, bitIndex1)) | (~v124(constB125))),
% 49.35/32.40 inference(modus_ponens,[status(thm)],[17898, 17897])).
% 49.35/32.40 tff(17900,plain,
% 49.35/32.40 (~v124(constB125)),
% 49.35/32.40 inference(unit_resolution,[status(thm)],[17899, 763, 17792])).
% 49.35/32.40 tff(17901,plain,
% 49.35/32.40 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB125, bitIndex1)) | (~v123(constB125)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB125, bitIndex1)) | (~v123(constB125)))),
% 49.35/32.40 inference(rewrite,[status(thm)],[])).
% 49.35/32.40 tff(17902,plain,
% 49.35/32.40 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB125, bitIndex1)) | (~v123(constB125)))),
% 49.35/32.40 inference(quant_inst,[status(thm)],[])).
% 49.35/32.40 tff(17903,plain,
% 49.35/32.40 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB125, bitIndex1)) | (~v123(constB125))),
% 49.35/32.40 inference(modus_ponens,[status(thm)],[17902, 17901])).
% 49.35/32.40 tff(17904,plain,
% 49.35/32.40 (~v123(constB125)),
% 49.35/32.40 inference(unit_resolution,[status(thm)],[17903, 774, 17792])).
% 49.35/32.40 tff(17905,plain,
% 49.35/32.40 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB125, bitIndex1)) | (~v120(constB125)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB125, bitIndex1)) | (~v120(constB125)))),
% 49.35/32.40 inference(rewrite,[status(thm)],[])).
% 49.35/32.40 tff(17906,plain,
% 49.35/32.40 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB125, bitIndex1)) | (~v120(constB125)))),
% 49.35/32.40 inference(quant_inst,[status(thm)],[])).
% 49.35/32.40 tff(17907,plain,
% 49.35/32.40 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB125, bitIndex1)) | (~v120(constB125))),
% 49.35/32.40 inference(modus_ponens,[status(thm)],[17906, 17905])).
% 49.35/32.40 tff(17908,plain,
% 49.35/32.40 (~v120(constB125)),
% 49.35/32.40 inference(unit_resolution,[status(thm)],[17907, 2312, 17792])).
% 49.35/32.40 tff(17909,plain,
% 49.35/32.40 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB125) | v123(constB125) | v122(constB125) | v121(constB125) | v120(constB125) | v119(constB125) | (~v130(constB125, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB125) | v123(constB125) | v122(constB125) | v121(constB125) | v120(constB125) | v119(constB125) | (~v130(constB125, bitIndex2)))),
% 49.35/32.40 inference(rewrite,[status(thm)],[])).
% 49.35/32.40 tff(17910,plain,
% 49.35/32.40 ((v120(constB125) | v119(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | (~v130(constB125, bitIndex2))) <=> (v124(constB125) | v123(constB125) | v122(constB125) | v121(constB125) | v120(constB125) | v119(constB125) | (~v130(constB125, bitIndex2)))),
% 49.35/32.40 inference(rewrite,[status(thm)],[])).
% 49.35/32.40 tff(17911,plain,
% 49.35/32.40 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB125) | v119(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | (~v130(constB125, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB125) | v123(constB125) | v122(constB125) | v121(constB125) | v120(constB125) | v119(constB125) | (~v130(constB125, bitIndex2))))),
% 49.35/32.40 inference(monotonicity,[status(thm)],[17910])).
% 49.35/32.40 tff(17912,plain,
% 49.35/32.40 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB125) | v119(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | (~v130(constB125, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB125) | v123(constB125) | v122(constB125) | v121(constB125) | v120(constB125) | v119(constB125) | (~v130(constB125, bitIndex2)))),
% 49.35/32.40 inference(transitivity,[status(thm)],[17911, 17909])).
% 49.35/32.40 tff(17913,plain,
% 49.35/32.40 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB125) | v119(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | (~v130(constB125, bitIndex2)))),
% 49.35/32.40 inference(quant_inst,[status(thm)],[])).
% 49.35/32.40 tff(17914,plain,
% 49.35/32.40 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB125) | v123(constB125) | v122(constB125) | v121(constB125) | v120(constB125) | v119(constB125) | (~v130(constB125, bitIndex2))),
% 49.35/32.40 inference(modus_ponens,[status(thm)],[17913, 17912])).
% 49.35/32.40 tff(17915,plain,
% 49.35/32.40 (~v130(constB125, bitIndex2)),
% 49.35/32.40 inference(unit_resolution,[status(thm)],[17914, 1192, 17908, 17904, 17900, 17896, 17892, 17888])).
% 49.35/32.40 tff(17916,plain,
% 49.35/32.40 (((~![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))),
% 49.36/32.40 inference(rewrite,[status(thm)],[])).
% 49.36/32.40 tff(17917,plain,
% 49.36/32.40 ((v26(constB125) | v130(constB125, bitIndex2) | (~v127(constB125, bitIndex2))) <=> ((~v127(constB125, bitIndex2)) | v26(constB125) | v130(constB125, bitIndex2))),
% 49.36/32.40 inference(rewrite,[status(thm)],[])).
% 49.36/32.40 tff(17918,plain,
% 49.36/32.40 (((~![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)))),
% 49.36/32.40 inference(monotonicity,[status(thm)],[17917])).
% 49.36/32.40 tff(17919,plain,
% 49.36/32.40 (((~![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))),
% 49.36/32.40 inference(transitivity,[status(thm)],[17918, 17916])).
% 49.36/32.40 tff(17920,plain,
% 49.36/32.40 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB125) | v130(constB125, bitIndex2) | (~v127(constB125, bitIndex2)))),
% 49.36/32.40 inference(quant_inst,[status(thm)],[])).
% 49.36/32.40 tff(17921,plain,
% 49.36/32.40 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB125, bitIndex2)) | v26(constB125) | v130(constB125, bitIndex2)),
% 49.36/32.40 inference(modus_ponens,[status(thm)],[17920, 17919])).
% 49.36/32.40 tff(17922,plain,
% 49.36/32.40 ((~v127(constB125, bitIndex2)) | v130(constB125, bitIndex2)),
% 49.36/32.40 inference(unit_resolution,[status(thm)],[17921, 1210, 17838])).
% 49.36/32.40 tff(17923,plain,
% 49.36/32.40 (~v127(constB125, bitIndex2)),
% 49.36/32.40 inference(unit_resolution,[status(thm)],[17922, 17915])).
% 49.36/32.40 tff(17924,plain,
% 49.36/32.40 (((~![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)))),
% 49.36/32.40 inference(rewrite,[status(thm)],[])).
% 49.36/32.40 tff(17925,plain,
% 49.36/32.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB125, constB126)) | v127(constB125, bitIndex2) | (~v129(constB126, bitIndex2)))),
% 49.36/32.40 inference(quant_inst,[status(thm)],[])).
% 49.36/32.40 tff(17926,plain,
% 49.36/32.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB125, constB126)) | v127(constB125, bitIndex2) | (~v129(constB126, bitIndex2))),
% 49.36/32.40 inference(modus_ponens,[status(thm)],[17925, 17924])).
% 49.36/32.40 tff(17927,plain,
% 49.36/32.40 (v127(constB125, bitIndex2) | (~v129(constB126, bitIndex2))),
% 49.36/32.40 inference(unit_resolution,[status(thm)],[17926, 1243, 17850])).
% 49.36/32.40 tff(17928,plain,
% 49.36/32.40 (~v129(constB126, bitIndex2)),
% 49.36/32.40 inference(unit_resolution,[status(thm)],[17927, 17923])).
% 49.36/32.40 tff(17929,plain,
% 49.36/32.40 (((~![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)))),
% 49.36/32.40 inference(rewrite,[status(thm)],[])).
% 49.36/32.40 tff(17930,plain,
% 49.36/32.40 (((~v90(constB126, bitIndex2)) | (~v100(constB126)) | v129(constB126, bitIndex2)) <=> ((~v90(constB126, bitIndex2)) | v129(constB126, bitIndex2) | (~v100(constB126)))),
% 49.36/32.40 inference(rewrite,[status(thm)],[])).
% 49.36/32.40 tff(17931,plain,
% 49.36/32.40 (((~![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))))),
% 49.36/32.41 inference(monotonicity,[status(thm)],[17930])).
% 49.36/32.41 tff(17932,plain,
% 49.36/32.41 (((~![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)))),
% 49.36/32.41 inference(transitivity,[status(thm)],[17931, 17929])).
% 49.36/32.41 tff(17933,plain,
% 49.36/32.41 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB126, bitIndex2)) | (~v100(constB126)) | v129(constB126, bitIndex2))),
% 49.36/32.41 inference(quant_inst,[status(thm)],[])).
% 49.36/32.41 tff(17934,plain,
% 49.36/32.41 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB126, bitIndex2)) | v129(constB126, bitIndex2) | (~v100(constB126))),
% 49.36/32.41 inference(modus_ponens,[status(thm)],[17933, 17932])).
% 49.36/32.41 tff(17935,plain,
% 49.36/32.41 ((~v90(constB126, bitIndex2)) | (~v100(constB126))),
% 49.36/32.41 inference(unit_resolution,[status(thm)],[17934, 1258, 17928])).
% 49.36/32.41 tff(17936,plain,
% 49.36/32.41 (~v90(constB126, bitIndex2)),
% 49.36/32.41 inference(unit_resolution,[status(thm)],[17935, 17884])).
% 49.36/32.41 tff(17937,plain,
% 49.36/32.41 ((~v1(constB127)) <=> (~v1(constB127))),
% 49.36/32.41 inference(rewrite,[status(thm)],[])).
% 49.36/32.41 tff(17938,axiom,(~v1(constB127)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_127_1_1')).
% 49.36/32.41 tff(17939,plain,
% 49.36/32.41 (~v1(constB127)),
% 49.36/32.41 inference(modus_ponens,[status(thm)],[17938, 17937])).
% 49.36/32.41 tff(17940,plain,
% 49.36/32.41 (nextState(constB126, constB127) <=> nextState(constB126, constB127)),
% 49.36/32.41 inference(rewrite,[status(thm)],[])).
% 49.36/32.41 tff(17941,axiom,(nextState(constB126, constB127)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_126_1')).
% 49.36/32.41 tff(17942,plain,
% 49.36/32.41 (nextState(constB126, constB127)),
% 49.36/32.41 inference(modus_ponens,[status(thm)],[17941, 17940])).
% 49.36/32.41 tff(17943,plain,
% 49.36/32.41 (((~![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)))),
% 49.36/32.41 inference(rewrite,[status(thm)],[])).
% 49.36/32.41 tff(17944,plain,
% 49.36/32.41 (((~nextState(constB126, constB127)) | (~v101(constB127)) | v1(constB127)) <=> (v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127)))),
% 49.36/32.41 inference(rewrite,[status(thm)],[])).
% 49.36/32.41 tff(17945,plain,
% 49.36/32.41 (((~![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))))),
% 49.36/32.41 inference(monotonicity,[status(thm)],[17944])).
% 49.36/32.41 tff(17946,plain,
% 49.36/32.41 (((~![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)))),
% 49.36/32.41 inference(transitivity,[status(thm)],[17945, 17943])).
% 49.36/32.41 tff(17947,plain,
% 49.36/32.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB126, constB127)) | (~v101(constB127)) | v1(constB127))),
% 49.36/32.41 inference(quant_inst,[status(thm)],[])).
% 49.36/32.41 tff(17948,plain,
% 49.36/32.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127))),
% 49.36/32.41 inference(modus_ponens,[status(thm)],[17947, 17946])).
% 49.36/32.41 tff(17949,plain,
% 49.36/32.41 (~v101(constB127)),
% 49.36/32.41 inference(unit_resolution,[status(thm)],[17948, 49, 17942, 17939])).
% 49.36/32.41 tff(17950,plain,
% 49.36/32.41 (((~![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)))),
% 49.36/32.41 inference(rewrite,[status(thm)],[])).
% 49.36/32.41 tff(17951,plain,
% 49.36/32.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB126, constB127)) | v101(constB127) | (~v100(constB127)))),
% 49.36/32.41 inference(quant_inst,[status(thm)],[])).
% 49.36/32.41 tff(17952,plain,
% 49.36/32.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB126, constB127)) | v101(constB127) | (~v100(constB127))),
% 49.36/32.41 inference(modus_ponens,[status(thm)],[17951, 17950])).
% 49.36/32.41 tff(17953,plain,
% 49.36/32.41 (v101(constB127) | (~v100(constB127))),
% 49.36/32.41 inference(unit_resolution,[status(thm)],[17952, 66, 17942])).
% 49.36/32.41 tff(17954,plain,
% 49.36/32.41 (~v100(constB127)),
% 49.36/32.41 inference(unit_resolution,[status(thm)],[17953, 17949])).
% 49.36/32.41 tff(17955,plain,
% 49.36/32.41 (((~![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)))),
% 49.36/32.41 inference(rewrite,[status(thm)],[])).
% 49.36/32.41 tff(17956,plain,
% 49.36/32.41 (((~nextState(constB126, constB127)) | v90(constB126, bitIndex2) | v100(constB127) | (~v90(constB127, bitIndex2))) <=> (v90(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex2)))),
% 49.36/32.41 inference(rewrite,[status(thm)],[])).
% 49.36/32.41 tff(17957,plain,
% 49.36/32.41 (((~![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))))),
% 49.36/32.41 inference(monotonicity,[status(thm)],[17956])).
% 49.36/32.41 tff(17958,plain,
% 49.36/32.41 (((~![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)))),
% 49.36/32.41 inference(transitivity,[status(thm)],[17957, 17955])).
% 49.36/32.41 tff(17959,plain,
% 49.36/32.41 ((~![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)))),
% 49.36/32.41 inference(quant_inst,[status(thm)],[])).
% 49.36/32.41 tff(17960,plain,
% 49.36/32.41 ((~![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))),
% 49.36/32.41 inference(modus_ponens,[status(thm)],[17959, 17958])).
% 49.36/32.41 tff(17961,plain,
% 49.36/32.41 (v90(constB126, bitIndex2) | v100(constB127) | (~v90(constB127, bitIndex2))),
% 49.36/32.41 inference(unit_resolution,[status(thm)],[17960, 81, 17942])).
% 49.36/32.41 tff(17962,plain,
% 49.36/32.41 (v90(constB126, bitIndex2) | (~v90(constB127, bitIndex2))),
% 49.36/32.41 inference(unit_resolution,[status(thm)],[17961, 17954])).
% 49.36/32.41 tff(17963,plain,
% 49.36/32.41 (~v90(constB127, bitIndex2)),
% 49.36/32.41 inference(unit_resolution,[status(thm)],[17962, 17936])).
% 49.36/32.41 tff(17964,plain,
% 49.36/32.41 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB125) | v123(constB125) | v122(constB125) | v121(constB125) | v120(constB125) | v119(constB125) | (~v130(constB125, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB125) | v123(constB125) | v122(constB125) | v121(constB125) | v120(constB125) | v119(constB125) | (~v130(constB125, bitIndex1)))),
% 49.36/32.41 inference(rewrite,[status(thm)],[])).
% 49.36/32.41 tff(17965,plain,
% 49.36/32.41 ((v120(constB125) | v119(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | (~v130(constB125, bitIndex1))) <=> (v124(constB125) | v123(constB125) | v122(constB125) | v121(constB125) | v120(constB125) | v119(constB125) | (~v130(constB125, bitIndex1)))),
% 49.36/32.41 inference(rewrite,[status(thm)],[])).
% 49.36/32.41 tff(17966,plain,
% 49.36/32.41 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB125) | v119(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | (~v130(constB125, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB125) | v123(constB125) | v122(constB125) | v121(constB125) | v120(constB125) | v119(constB125) | (~v130(constB125, bitIndex1))))),
% 49.36/32.41 inference(monotonicity,[status(thm)],[17965])).
% 49.36/32.41 tff(17967,plain,
% 49.36/32.41 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB125) | v119(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | (~v130(constB125, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB125) | v123(constB125) | v122(constB125) | v121(constB125) | v120(constB125) | v119(constB125) | (~v130(constB125, bitIndex1)))),
% 49.36/32.41 inference(transitivity,[status(thm)],[17966, 17964])).
% 49.36/32.41 tff(17968,plain,
% 49.36/32.41 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB125) | v119(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | (~v130(constB125, bitIndex1)))),
% 49.36/32.41 inference(quant_inst,[status(thm)],[])).
% 49.36/32.41 tff(17969,plain,
% 49.36/32.41 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB125) | v123(constB125) | v122(constB125) | v121(constB125) | v120(constB125) | v119(constB125) | (~v130(constB125, bitIndex1))),
% 49.36/32.41 inference(modus_ponens,[status(thm)],[17968, 17967])).
% 49.36/32.41 tff(17970,plain,
% 49.36/32.41 (~v130(constB125, bitIndex1)),
% 49.36/32.41 inference(unit_resolution,[status(thm)],[17969, 1143, 17908, 17904, 17900, 17896, 17892, 17888])).
% 49.36/32.41 tff(17971,plain,
% 49.36/32.41 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB125, bitIndex1)) | v26(constB125) | v130(constB125, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB125, bitIndex1)) | v26(constB125) | v130(constB125, bitIndex1))),
% 49.36/32.41 inference(rewrite,[status(thm)],[])).
% 49.36/32.41 tff(17972,plain,
% 49.36/32.41 ((v26(constB125) | v130(constB125, bitIndex1) | (~v127(constB125, bitIndex1))) <=> ((~v127(constB125, bitIndex1)) | v26(constB125) | v130(constB125, bitIndex1))),
% 49.36/32.41 inference(rewrite,[status(thm)],[])).
% 49.36/32.41 tff(17973,plain,
% 49.36/32.41 (((~![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)))) | ((~v127(constB125, bitIndex1)) | v26(constB125) | v130(constB125, bitIndex1)))),
% 49.36/32.41 inference(monotonicity,[status(thm)],[17972])).
% 49.36/32.41 tff(17974,plain,
% 49.36/32.41 (((~![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)))) | (~v127(constB125, bitIndex1)) | v26(constB125) | v130(constB125, bitIndex1))),
% 49.36/32.41 inference(transitivity,[status(thm)],[17973, 17971])).
% 49.36/32.41 tff(17975,plain,
% 49.36/32.41 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB125) | v130(constB125, bitIndex1) | (~v127(constB125, bitIndex1)))),
% 49.36/32.41 inference(quant_inst,[status(thm)],[])).
% 49.36/32.41 tff(17976,plain,
% 49.36/32.41 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB125, bitIndex1)) | v26(constB125) | v130(constB125, bitIndex1)),
% 49.36/32.41 inference(modus_ponens,[status(thm)],[17975, 17974])).
% 49.36/32.41 tff(17977,plain,
% 49.36/32.41 ((~v127(constB125, bitIndex1)) | v130(constB125, bitIndex1)),
% 49.36/32.41 inference(unit_resolution,[status(thm)],[17976, 450, 17838])).
% 49.36/32.41 tff(17978,plain,
% 49.36/32.41 (~v127(constB125, bitIndex1)),
% 49.36/32.41 inference(unit_resolution,[status(thm)],[17977, 17970])).
% 49.36/32.41 tff(17979,plain,
% 49.36/32.41 (((~![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)))),
% 49.36/32.41 inference(rewrite,[status(thm)],[])).
% 49.36/32.41 tff(17980,plain,
% 49.36/32.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB125, constB126)) | v127(constB125, bitIndex1) | (~v129(constB126, bitIndex1)))),
% 49.36/32.41 inference(quant_inst,[status(thm)],[])).
% 49.36/32.41 tff(17981,plain,
% 49.36/32.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB125, constB126)) | v127(constB125, bitIndex1) | (~v129(constB126, bitIndex1))),
% 49.36/32.41 inference(modus_ponens,[status(thm)],[17980, 17979])).
% 49.36/32.41 tff(17982,plain,
% 49.36/32.41 (v127(constB125, bitIndex1) | (~v129(constB126, bitIndex1))),
% 49.36/32.41 inference(unit_resolution,[status(thm)],[17981, 468, 17850])).
% 49.36/32.41 tff(17983,plain,
% 49.36/32.41 (~v129(constB126, bitIndex1)),
% 49.36/32.41 inference(unit_resolution,[status(thm)],[17982, 17978])).
% 49.36/32.41 tff(17984,plain,
% 49.36/32.41 (((~![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)))),
% 49.36/32.41 inference(rewrite,[status(thm)],[])).
% 49.36/32.41 tff(17985,plain,
% 49.36/32.41 (((~v90(constB126, bitIndex1)) | (~v100(constB126)) | v129(constB126, bitIndex1)) <=> ((~v90(constB126, bitIndex1)) | v129(constB126, bitIndex1) | (~v100(constB126)))),
% 49.36/32.41 inference(rewrite,[status(thm)],[])).
% 49.36/32.41 tff(17986,plain,
% 49.36/32.41 (((~![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))))),
% 49.36/32.41 inference(monotonicity,[status(thm)],[17985])).
% 49.36/32.41 tff(17987,plain,
% 49.36/32.41 (((~![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)))),
% 49.36/32.41 inference(transitivity,[status(thm)],[17986, 17984])).
% 49.36/32.41 tff(17988,plain,
% 49.36/32.41 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB126, bitIndex1)) | (~v100(constB126)) | v129(constB126, bitIndex1))),
% 49.36/32.41 inference(quant_inst,[status(thm)],[])).
% 49.36/32.41 tff(17989,plain,
% 49.36/32.41 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB126, bitIndex1)) | v129(constB126, bitIndex1) | (~v100(constB126))),
% 49.36/32.41 inference(modus_ponens,[status(thm)],[17988, 17987])).
% 49.36/32.41 tff(17990,plain,
% 49.36/32.41 ((~v90(constB126, bitIndex1)) | (~v100(constB126))),
% 49.36/32.41 inference(unit_resolution,[status(thm)],[17989, 483, 17983])).
% 49.36/32.41 tff(17991,plain,
% 49.36/32.41 (~v90(constB126, bitIndex1)),
% 49.36/32.41 inference(unit_resolution,[status(thm)],[17990, 17884])).
% 49.36/32.41 tff(17992,plain,
% 49.36/32.41 (((~![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)))),
% 49.36/32.41 inference(rewrite,[status(thm)],[])).
% 49.36/32.41 tff(17993,plain,
% 49.36/32.41 (((~nextState(constB126, constB127)) | v90(constB126, bitIndex1) | v100(constB127) | (~v90(constB127, bitIndex1))) <=> (v90(constB126, bitIndex1) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, bitIndex1)))),
% 49.36/32.41 inference(rewrite,[status(thm)],[])).
% 49.36/32.41 tff(17994,plain,
% 49.36/32.41 (((~![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))))),
% 49.36/32.41 inference(monotonicity,[status(thm)],[17993])).
% 49.36/32.41 tff(17995,plain,
% 49.36/32.41 (((~![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)))),
% 49.36/32.41 inference(transitivity,[status(thm)],[17994, 17992])).
% 49.36/32.41 tff(17996,plain,
% 49.36/32.41 ((~![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)))),
% 49.36/32.41 inference(quant_inst,[status(thm)],[])).
% 49.36/32.41 tff(17997,plain,
% 49.36/32.41 ((~![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))),
% 49.36/32.41 inference(modus_ponens,[status(thm)],[17996, 17995])).
% 49.36/32.41 tff(17998,plain,
% 49.36/32.41 (v90(constB126, bitIndex1) | v100(constB127) | (~v90(constB127, bitIndex1))),
% 49.36/32.41 inference(unit_resolution,[status(thm)],[17997, 102, 17942])).
% 49.36/32.41 tff(17999,plain,
% 49.36/32.41 (v90(constB126, bitIndex1) | (~v90(constB127, bitIndex1))),
% 49.36/32.41 inference(unit_resolution,[status(thm)],[17998, 17954])).
% 49.36/32.41 tff(18000,plain,
% 49.36/32.41 (~v90(constB127, bitIndex1)),
% 49.36/32.41 inference(unit_resolution,[status(thm)],[17999, 17991])).
% 49.36/32.41 tff(18001,plain,
% 49.36/32.41 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB125) | v123(constB125) | v122(constB125) | v121(constB125) | v120(constB125) | v119(constB125) | v130(constB125, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB125) | v123(constB125) | v122(constB125) | v121(constB125) | v120(constB125) | v119(constB125) | v130(constB125, bitIndex0))),
% 49.36/32.41 inference(rewrite,[status(thm)],[])).
% 49.36/32.41 tff(18002,plain,
% 49.36/32.41 ((v120(constB125) | v119(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | v130(constB125, bitIndex0)) <=> (v124(constB125) | v123(constB125) | v122(constB125) | v121(constB125) | v120(constB125) | v119(constB125) | v130(constB125, bitIndex0))),
% 49.36/32.41 inference(rewrite,[status(thm)],[])).
% 49.36/32.41 tff(18003,plain,
% 49.36/32.41 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB125) | v119(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | v130(constB125, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v124(constB125) | v123(constB125) | v122(constB125) | v121(constB125) | v120(constB125) | v119(constB125) | v130(constB125, bitIndex0)))),
% 49.36/32.41 inference(monotonicity,[status(thm)],[18002])).
% 49.36/32.41 tff(18004,plain,
% 49.36/32.41 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB125) | v119(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | v130(constB125, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB125) | v123(constB125) | v122(constB125) | v121(constB125) | v120(constB125) | v119(constB125) | v130(constB125, bitIndex0))),
% 49.36/32.41 inference(transitivity,[status(thm)],[18003, 18001])).
% 49.36/32.41 tff(18005,plain,
% 49.36/32.41 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB125) | v119(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | v130(constB125, bitIndex0))),
% 49.36/32.41 inference(quant_inst,[status(thm)],[])).
% 49.36/32.41 tff(18006,plain,
% 49.36/32.41 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v124(constB125) | v123(constB125) | v122(constB125) | v121(constB125) | v120(constB125) | v119(constB125) | v130(constB125, bitIndex0)),
% 49.36/32.41 inference(modus_ponens,[status(thm)],[18005, 18004])).
% 49.36/32.41 tff(18007,plain,
% 49.36/32.41 (v130(constB125, bitIndex0)),
% 49.36/32.41 inference(unit_resolution,[status(thm)],[18006, 908, 17908, 17904, 17900, 17896, 17892, 17888])).
% 49.36/32.41 tff(18008,plain,
% 49.36/32.41 (((~![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))),
% 49.36/32.41 inference(rewrite,[status(thm)],[])).
% 49.36/32.41 tff(18009,plain,
% 49.36/32.41 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB125) | (~v130(constB125, bitIndex0)) | v127(constB125, bitIndex0))),
% 49.36/32.41 inference(quant_inst,[status(thm)],[])).
% 49.36/32.41 tff(18010,plain,
% 49.36/32.41 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB125) | (~v130(constB125, bitIndex0)) | v127(constB125, bitIndex0)),
% 49.36/32.41 inference(modus_ponens,[status(thm)],[18009, 18008])).
% 49.36/32.41 tff(18011,plain,
% 49.36/32.41 ((~v130(constB125, bitIndex0)) | v127(constB125, bitIndex0)),
% 49.36/32.41 inference(unit_resolution,[status(thm)],[18010, 926, 17838])).
% 49.36/32.41 tff(18012,plain,
% 49.36/32.41 (v127(constB125, bitIndex0)),
% 49.36/32.41 inference(unit_resolution,[status(thm)],[18011, 18007])).
% 49.36/32.41 tff(18013,plain,
% 49.36/32.41 (((~![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))),
% 49.36/32.41 inference(rewrite,[status(thm)],[])).
% 49.36/32.41 tff(18014,plain,
% 49.36/32.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB125, constB126)) | (~v127(constB125, bitIndex0)) | v129(constB126, bitIndex0))),
% 49.36/32.41 inference(quant_inst,[status(thm)],[])).
% 49.36/32.41 tff(18015,plain,
% 49.36/32.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB125, constB126)) | (~v127(constB125, bitIndex0)) | v129(constB126, bitIndex0)),
% 49.36/32.41 inference(modus_ponens,[status(thm)],[18014, 18013])).
% 49.36/32.41 tff(18016,plain,
% 49.36/32.41 ((~v127(constB125, bitIndex0)) | v129(constB126, bitIndex0)),
% 49.36/32.41 inference(unit_resolution,[status(thm)],[18015, 944, 17850])).
% 49.36/32.41 tff(18017,plain,
% 49.36/32.41 (v129(constB126, bitIndex0)),
% 49.36/32.41 inference(unit_resolution,[status(thm)],[18016, 18012])).
% 49.36/32.41 tff(18018,plain,
% 49.36/32.41 (((~![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)))),
% 49.36/32.41 inference(rewrite,[status(thm)],[])).
% 49.36/32.41 tff(18019,plain,
% 49.36/32.41 ((v90(constB126, bitIndex0) | (~v100(constB126)) | (~v129(constB126, bitIndex0))) <=> (v90(constB126, bitIndex0) | (~v129(constB126, bitIndex0)) | (~v100(constB126)))),
% 49.36/32.41 inference(rewrite,[status(thm)],[])).
% 49.36/32.41 tff(18020,plain,
% 49.36/32.41 (((~![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))))),
% 49.36/32.41 inference(monotonicity,[status(thm)],[18019])).
% 49.36/32.41 tff(18021,plain,
% 49.36/32.41 (((~![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)))),
% 49.36/32.41 inference(transitivity,[status(thm)],[18020, 18018])).
% 49.36/32.41 tff(18022,plain,
% 49.36/32.41 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB126, bitIndex0) | (~v100(constB126)) | (~v129(constB126, bitIndex0)))),
% 49.36/32.41 inference(quant_inst,[status(thm)],[])).
% 49.36/32.41 tff(18023,plain,
% 49.36/32.41 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB126, bitIndex0) | (~v129(constB126, bitIndex0)) | (~v100(constB126))),
% 49.36/32.41 inference(modus_ponens,[status(thm)],[18022, 18021])).
% 49.36/32.41 tff(18024,plain,
% 49.36/32.41 (v90(constB126, bitIndex0) | (~v100(constB126))),
% 49.36/32.41 inference(unit_resolution,[status(thm)],[18023, 1088, 18017])).
% 49.36/32.41 tff(18025,plain,
% 49.36/32.41 (v90(constB126, bitIndex0)),
% 49.36/32.41 inference(unit_resolution,[status(thm)],[18024, 17884])).
% 49.36/32.41 tff(18026,plain,
% 49.36/32.41 (((~![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))),
% 49.36/32.41 inference(rewrite,[status(thm)],[])).
% 49.36/32.41 tff(18027,plain,
% 49.36/32.41 (((~nextState(constB126, constB127)) | (~v90(constB126, bitIndex0)) | v100(constB127) | v90(constB127, bitIndex0)) <=> ((~v90(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, bitIndex0))),
% 49.36/32.41 inference(rewrite,[status(thm)],[])).
% 49.36/32.41 tff(18028,plain,
% 49.36/32.41 (((~![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)))),
% 49.36/32.41 inference(monotonicity,[status(thm)],[18027])).
% 49.36/32.41 tff(18029,plain,
% 49.36/32.41 (((~![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))),
% 49.36/32.41 inference(transitivity,[status(thm)],[18028, 18026])).
% 49.36/32.41 tff(18030,plain,
% 49.36/32.41 ((~![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))),
% 49.36/32.41 inference(quant_inst,[status(thm)],[])).
% 49.36/32.41 tff(18031,plain,
% 49.36/32.41 ((~![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)),
% 49.36/32.41 inference(modus_ponens,[status(thm)],[18030, 18029])).
% 49.36/32.41 tff(18032,plain,
% 49.36/32.41 ((~v90(constB126, bitIndex0)) | v100(constB127) | v90(constB127, bitIndex0)),
% 49.36/32.41 inference(unit_resolution,[status(thm)],[18031, 1124, 17942])).
% 49.36/32.41 tff(18033,plain,
% 49.36/32.41 ((~v90(constB126, bitIndex0)) | v90(constB127, bitIndex0)),
% 49.36/32.41 inference(unit_resolution,[status(thm)],[18032, 17954])).
% 49.36/32.41 tff(18034,plain,
% 49.36/32.41 (v90(constB127, bitIndex0)),
% 49.36/32.41 inference(unit_resolution,[status(thm)],[18033, 18025])).
% 49.36/32.41 tff(18035,plain,
% 49.36/32.41 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB127, bitIndex0)) | v90(constB127, bitIndex1) | v90(constB127, bitIndex2) | v120(constB127))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB127, bitIndex0)) | v90(constB127, bitIndex1) | v90(constB127, bitIndex2) | v120(constB127))),
% 49.36/32.41 inference(rewrite,[status(thm)],[])).
% 49.36/32.41 tff(18036,plain,
% 49.36/32.41 (((~v90(constB127, bitIndex0)) | v120(constB127) | v90(constB127, bitIndex1) | v90(constB127, bitIndex2)) <=> ((~v90(constB127, bitIndex0)) | v90(constB127, bitIndex1) | v90(constB127, bitIndex2) | v120(constB127))),
% 49.36/32.42 inference(rewrite,[status(thm)],[])).
% 49.36/32.42 tff(18037,plain,
% 49.36/32.42 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB127, bitIndex0)) | v120(constB127) | v90(constB127, bitIndex1) | v90(constB127, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB127, bitIndex0)) | v90(constB127, bitIndex1) | v90(constB127, bitIndex2) | v120(constB127)))),
% 49.36/32.42 inference(monotonicity,[status(thm)],[18036])).
% 49.36/32.42 tff(18038,plain,
% 49.36/32.42 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB127, bitIndex0)) | v120(constB127) | v90(constB127, bitIndex1) | v90(constB127, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB127, bitIndex0)) | v90(constB127, bitIndex1) | v90(constB127, bitIndex2) | v120(constB127))),
% 49.36/32.42 inference(transitivity,[status(thm)],[18037, 18035])).
% 49.36/32.42 tff(18039,plain,
% 49.36/32.42 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB127, bitIndex0)) | v120(constB127) | v90(constB127, bitIndex1) | v90(constB127, bitIndex2))),
% 49.36/32.42 inference(quant_inst,[status(thm)],[])).
% 49.36/32.42 tff(18040,plain,
% 49.36/32.42 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB127, bitIndex0)) | v90(constB127, bitIndex1) | v90(constB127, bitIndex2) | v120(constB127)),
% 49.36/32.42 inference(modus_ponens,[status(thm)],[18039, 18038])).
% 49.36/32.42 tff(18041,plain,
% 49.36/32.42 (v120(constB127)),
% 49.36/32.42 inference(unit_resolution,[status(thm)],[18040, 1285, 18034, 18000, 17963])).
% 49.36/32.42 tff(18042,plain,
% 49.36/32.42 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB127) | (~v120(constB127)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB127) | (~v120(constB127)))),
% 49.36/32.42 inference(rewrite,[status(thm)],[])).
% 49.36/32.42 tff(18043,plain,
% 49.36/32.42 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB127) | (~v120(constB127)))),
% 49.36/32.42 inference(quant_inst,[status(thm)],[])).
% 49.36/32.42 tff(18044,plain,
% 49.36/32.42 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB127) | (~v120(constB127))),
% 49.36/32.42 inference(modus_ponens,[status(thm)],[18043, 18042])).
% 49.36/32.42 tff(18045,plain,
% 49.36/32.42 (v118(constB127)),
% 49.36/32.42 inference(unit_resolution,[status(thm)],[18044, 1302, 18041])).
% 49.36/32.42 tff(18046,plain,
% 49.36/32.42 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB127) | (~v118(constB127)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB127) | (~v118(constB127)))),
% 49.36/32.42 inference(rewrite,[status(thm)],[])).
% 49.36/32.42 tff(18047,plain,
% 49.36/32.42 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB127) | (~v118(constB127)))),
% 49.36/32.42 inference(quant_inst,[status(thm)],[])).
% 49.36/32.42 tff(18048,plain,
% 49.36/32.42 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB127) | (~v118(constB127))),
% 49.36/32.42 inference(modus_ponens,[status(thm)],[18047, 18046])).
% 49.36/32.42 tff(18049,plain,
% 49.36/32.42 (v117(constB127)),
% 49.36/32.42 inference(unit_resolution,[status(thm)],[18048, 166, 18045])).
% 49.36/32.42 tff(18050,plain,
% 49.36/32.42 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB127) | (~v117(constB127)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB127) | (~v117(constB127)))),
% 49.36/32.42 inference(rewrite,[status(thm)],[])).
% 49.36/32.42 tff(18051,plain,
% 49.36/32.42 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB127) | (~v117(constB127)))),
% 49.36/32.42 inference(quant_inst,[status(thm)],[])).
% 49.36/32.42 tff(18052,plain,
% 49.36/32.42 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB127) | (~v117(constB127))),
% 49.36/32.42 inference(modus_ponens,[status(thm)],[18051, 18050])).
% 49.36/32.42 tff(18053,plain,
% 49.36/32.42 (v116(constB127)),
% 49.36/32.42 inference(unit_resolution,[status(thm)],[18052, 177, 18049])).
% 49.36/32.42 tff(18054,plain,
% 49.36/32.42 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB127) | (~v116(constB127)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB127) | (~v116(constB127)))),
% 49.36/32.42 inference(rewrite,[status(thm)],[])).
% 49.36/32.42 tff(18055,plain,
% 49.36/32.42 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB127) | (~v116(constB127)))),
% 49.36/32.42 inference(quant_inst,[status(thm)],[])).
% 49.36/32.42 tff(18056,plain,
% 49.36/32.42 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB127) | (~v116(constB127))),
% 49.36/32.42 inference(modus_ponens,[status(thm)],[18055, 18054])).
% 49.36/32.42 tff(18057,plain,
% 49.36/32.42 (v115(constB127)),
% 49.36/32.42 inference(unit_resolution,[status(thm)],[18056, 188, 18053])).
% 49.36/32.42 tff(18058,plain,
% 49.36/32.42 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB127) | (~v115(constB127)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB127) | (~v115(constB127)))),
% 49.36/32.42 inference(rewrite,[status(thm)],[])).
% 49.36/32.42 tff(18059,plain,
% 49.36/32.42 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB127) | (~v115(constB127)))),
% 49.36/32.42 inference(quant_inst,[status(thm)],[])).
% 49.36/32.42 tff(18060,plain,
% 49.36/32.42 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB127) | (~v115(constB127))),
% 49.36/32.42 inference(modus_ponens,[status(thm)],[18059, 18058])).
% 49.36/32.42 tff(18061,plain,
% 49.36/32.42 (v114(constB127)),
% 49.36/32.42 inference(unit_resolution,[status(thm)],[18060, 199, 18057])).
% 49.36/32.42 tff(18062,plain,
% 49.36/32.42 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB127) | (~v114(constB127)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB127) | (~v114(constB127)))),
% 49.36/32.42 inference(rewrite,[status(thm)],[])).
% 49.36/32.42 tff(18063,plain,
% 49.36/32.42 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB127) | (~v114(constB127)))),
% 49.36/32.42 inference(quant_inst,[status(thm)],[])).
% 49.36/32.42 tff(18064,plain,
% 49.36/32.42 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB127) | (~v114(constB127))),
% 49.36/32.42 inference(modus_ponens,[status(thm)],[18063, 18062])).
% 49.36/32.42 tff(18065,plain,
% 49.36/32.42 (v113(constB127)),
% 49.36/32.42 inference(unit_resolution,[status(thm)],[18064, 210, 18061])).
% 49.36/32.42 tff(18066,assumption,(v26(constB127)), introduced(assumption)).
% 49.36/32.42 tff(18067,plain,
% 49.36/32.42 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB127))),
% 49.36/32.42 inference(quant_inst,[status(thm)],[])).
% 49.36/32.42 tff(18068,plain,
% 49.36/32.42 ($false),
% 49.36/32.42 inference(unit_resolution,[status(thm)],[18067, 16, 18066])).
% 49.36/32.42 tff(18069,plain,(~v26(constB127)), inference(lemma,lemma(discharge,[]))).
% 49.36/32.42 tff(18070,plain,
% 49.36/32.42 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB127) | (~v113(constB127)) | v112(constB127))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB127) | (~v113(constB127)) | v112(constB127))),
% 49.36/32.42 inference(rewrite,[status(thm)],[])).
% 49.36/32.42 tff(18071,plain,
% 49.36/32.42 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB127) | (~v113(constB127)) | v112(constB127))),
% 49.36/32.42 inference(quant_inst,[status(thm)],[])).
% 49.36/32.42 tff(18072,plain,
% 49.36/32.42 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB127) | (~v113(constB127)) | v112(constB127)),
% 49.36/32.42 inference(modus_ponens,[status(thm)],[18071, 18070])).
% 49.36/32.42 tff(18073,plain,
% 49.36/32.42 ((~v113(constB127)) | v112(constB127)),
% 49.36/32.42 inference(unit_resolution,[status(thm)],[18072, 224, 18069])).
% 49.36/32.42 tff(18074,plain,
% 49.36/32.42 (v112(constB127)),
% 49.36/32.42 inference(unit_resolution,[status(thm)],[18073, 18065])).
% 49.36/32.42 tff(18075,plain,
% 49.36/32.42 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB127) | (~v112(constB127)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB127) | (~v112(constB127)))),
% 49.36/32.42 inference(rewrite,[status(thm)],[])).
% 49.36/32.42 tff(18076,plain,
% 49.36/32.42 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB127) | (~v112(constB127)))),
% 49.36/32.42 inference(quant_inst,[status(thm)],[])).
% 49.36/32.42 tff(18077,plain,
% 49.36/32.42 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB127) | (~v112(constB127))),
% 49.36/32.42 inference(modus_ponens,[status(thm)],[18076, 18075])).
% 49.36/32.42 tff(18078,plain,
% 49.36/32.42 (v108(constB127)),
% 49.36/32.42 inference(unit_resolution,[status(thm)],[18077, 236, 18074])).
% 49.36/32.42 tff(18079,plain,
% 49.36/32.42 (nextState(constB127, constB128) <=> nextState(constB127, constB128)),
% 49.36/32.42 inference(rewrite,[status(thm)],[])).
% 49.36/32.42 tff(18080,axiom,(nextState(constB127, constB128)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_127_1')).
% 49.36/32.42 tff(18081,plain,
% 49.36/32.42 (nextState(constB127, constB128)),
% 49.36/32.42 inference(modus_ponens,[status(thm)],[18080, 18079])).
% 49.36/32.42 tff(18082,plain,
% 49.36/32.42 (((~![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)))),
% 49.36/32.42 inference(rewrite,[status(thm)],[])).
% 49.36/32.42 tff(18083,plain,
% 49.36/32.42 (((~nextState(constB127, constB128)) | (~v108(constB127)) | v110(constB128)) <=> ((~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127)))),
% 49.36/32.42 inference(rewrite,[status(thm)],[])).
% 49.36/32.42 tff(18084,plain,
% 49.36/32.42 (((~![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))))),
% 49.36/32.42 inference(monotonicity,[status(thm)],[18083])).
% 49.36/32.42 tff(18085,plain,
% 49.36/32.42 (((~![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)))),
% 49.36/32.42 inference(transitivity,[status(thm)],[18084, 18082])).
% 49.36/32.42 tff(18086,plain,
% 49.36/32.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB127, constB128)) | (~v108(constB127)) | v110(constB128))),
% 49.36/32.42 inference(quant_inst,[status(thm)],[])).
% 49.36/32.42 tff(18087,plain,
% 49.36/32.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127))),
% 49.36/32.42 inference(modus_ponens,[status(thm)],[18086, 18085])).
% 49.36/32.42 tff(18088,plain,
% 49.36/32.42 (v110(constB128) | (~v108(constB127))),
% 49.36/32.42 inference(unit_resolution,[status(thm)],[18087, 253, 18081])).
% 49.36/32.42 tff(18089,plain,
% 49.36/32.42 (v110(constB128)),
% 49.36/32.42 inference(unit_resolution,[status(thm)],[18088, 18078])).
% 49.36/32.42 tff(18090,plain,
% 49.36/32.42 (((~![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)))),
% 49.36/32.42 inference(rewrite,[status(thm)],[])).
% 49.36/32.42 tff(18091,plain,
% 49.36/32.42 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB127) | (~nextState(constB127, constB128)) | (~v104(constB128)))),
% 49.36/32.42 inference(quant_inst,[status(thm)],[])).
% 49.36/32.42 tff(18092,plain,
% 49.36/32.42 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB127) | (~nextState(constB127, constB128)) | (~v104(constB128))),
% 49.36/32.42 inference(modus_ponens,[status(thm)],[18091, 18090])).
% 49.36/32.42 tff(18093,plain,
% 49.36/32.42 (~v104(constB128)),
% 49.36/32.42 inference(unit_resolution,[status(thm)],[18092, 271, 18081, 17939])).
% 49.36/32.42 tff(18094,plain,
% 49.36/32.42 (((~![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))),
% 49.36/32.42 inference(rewrite,[status(thm)],[])).
% 49.36/32.42 tff(18095,plain,
% 49.36/32.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB127, constB128)) | v102(constB128) | v104(constB128))),
% 49.36/32.42 inference(quant_inst,[status(thm)],[])).
% 49.36/32.42 tff(18096,plain,
% 49.36/32.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB127, constB128)) | v102(constB128) | v104(constB128)),
% 49.36/32.42 inference(modus_ponens,[status(thm)],[18095, 18094])).
% 49.36/32.42 tff(18097,plain,
% 49.36/32.42 (v102(constB128) | v104(constB128)),
% 49.36/32.42 inference(unit_resolution,[status(thm)],[18096, 285, 18081])).
% 49.36/32.42 tff(18098,plain,
% 49.36/32.42 (v102(constB128)),
% 49.36/32.42 inference(unit_resolution,[status(thm)],[18097, 18093])).
% 49.36/32.42 tff(18099,plain,
% 49.36/32.42 (v1(constB128) <=> v1(constB128)),
% 49.36/32.42 inference(rewrite,[status(thm)],[])).
% 49.36/32.42 tff(18100,axiom,(v1(constB128)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_128_1')).
% 49.36/32.42 tff(18101,plain,
% 49.36/32.42 (v1(constB128)),
% 49.36/32.42 inference(modus_ponens,[status(thm)],[18100, 18099])).
% 49.36/32.42 tff(18102,plain,
% 49.36/32.42 (((~![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)))),
% 49.36/32.42 inference(rewrite,[status(thm)],[])).
% 49.36/32.42 tff(18103,plain,
% 49.36/32.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB127, constB128)) | v101(constB128) | (~v102(constB128)) | (~v1(constB128)))),
% 49.36/32.42 inference(quant_inst,[status(thm)],[])).
% 49.36/32.42 tff(18104,plain,
% 49.36/32.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB127, constB128)) | v101(constB128) | (~v102(constB128)) | (~v1(constB128))),
% 49.36/32.42 inference(modus_ponens,[status(thm)],[18103, 18102])).
% 49.36/32.42 tff(18105,plain,
% 49.36/32.42 (v101(constB128) | (~v102(constB128))),
% 49.36/32.42 inference(unit_resolution,[status(thm)],[18104, 303, 18081, 18101])).
% 49.36/32.42 tff(18106,plain,
% 49.36/32.42 (v101(constB128)),
% 49.36/32.42 inference(unit_resolution,[status(thm)],[18105, 18098])).
% 49.36/32.42 tff(18107,plain,
% 49.36/32.42 (((~![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)))),
% 49.36/32.42 inference(rewrite,[status(thm)],[])).
% 49.36/32.42 tff(18108,plain,
% 49.36/32.42 (((~nextState(constB127, constB128)) | (~v101(constB128)) | (~v110(constB128)) | v100(constB128)) <=> ((~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128)))),
% 49.36/32.42 inference(rewrite,[status(thm)],[])).
% 49.36/32.42 tff(18109,plain,
% 49.36/32.42 (((~![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))))),
% 49.36/32.42 inference(monotonicity,[status(thm)],[18108])).
% 49.36/32.42 tff(18110,plain,
% 49.36/32.42 (((~![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)))),
% 49.36/32.42 inference(transitivity,[status(thm)],[18109, 18107])).
% 49.36/32.42 tff(18111,plain,
% 49.36/32.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB127, constB128)) | (~v101(constB128)) | (~v110(constB128)) | v100(constB128))),
% 49.36/32.42 inference(quant_inst,[status(thm)],[])).
% 49.36/32.42 tff(18112,plain,
% 49.36/32.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128))),
% 49.36/32.42 inference(modus_ponens,[status(thm)],[18111, 18110])).
% 49.36/32.42 tff(18113,plain,
% 49.36/32.42 (v100(constB128) | (~v101(constB128)) | (~v110(constB128))),
% 49.36/32.42 inference(unit_resolution,[status(thm)],[18112, 318, 18081])).
% 49.36/32.42 tff(18114,plain,
% 49.36/32.42 (v100(constB128) | (~v110(constB128))),
% 49.36/32.42 inference(unit_resolution,[status(thm)],[18113, 18106])).
% 49.36/32.42 tff(18115,plain,
% 49.36/32.42 (v100(constB128)),
% 49.36/32.42 inference(unit_resolution,[status(thm)],[18114, 18089])).
% 49.36/32.42 tff(18116,plain,
% 49.36/32.42 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB127)) | (~v130(constB127, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB127)) | (~v130(constB127, bitIndex2)))),
% 49.36/32.42 inference(rewrite,[status(thm)],[])).
% 49.36/32.42 tff(18117,plain,
% 49.36/32.42 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB127)) | (~v130(constB127, bitIndex2)))),
% 49.36/32.42 inference(quant_inst,[status(thm)],[])).
% 49.36/32.42 tff(18118,plain,
% 49.36/32.42 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB127)) | (~v130(constB127, bitIndex2))),
% 49.36/32.42 inference(modus_ponens,[status(thm)],[18117, 18116])).
% 49.36/32.42 tff(18119,plain,
% 49.36/32.42 (~v130(constB127, bitIndex2)),
% 49.36/32.42 inference(unit_resolution,[status(thm)],[18118, 1383, 18041])).
% 49.36/32.42 tff(18120,plain,
% 49.36/32.42 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB127, bitIndex2)) | v26(constB127) | v130(constB127, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB127, bitIndex2)) | v26(constB127) | v130(constB127, bitIndex2))),
% 49.36/32.42 inference(rewrite,[status(thm)],[])).
% 49.36/32.42 tff(18121,plain,
% 49.36/32.42 ((v26(constB127) | v130(constB127, bitIndex2) | (~v127(constB127, bitIndex2))) <=> ((~v127(constB127, bitIndex2)) | v26(constB127) | v130(constB127, bitIndex2))),
% 49.36/32.42 inference(rewrite,[status(thm)],[])).
% 49.36/32.42 tff(18122,plain,
% 49.36/32.42 (((~![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)))) | ((~v127(constB127, bitIndex2)) | v26(constB127) | v130(constB127, bitIndex2)))),
% 49.36/32.42 inference(monotonicity,[status(thm)],[18121])).
% 49.36/32.42 tff(18123,plain,
% 49.36/32.42 (((~![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)))) | (~v127(constB127, bitIndex2)) | v26(constB127) | v130(constB127, bitIndex2))),
% 49.36/32.42 inference(transitivity,[status(thm)],[18122, 18120])).
% 49.36/32.42 tff(18124,plain,
% 49.36/32.42 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB127) | v130(constB127, bitIndex2) | (~v127(constB127, bitIndex2)))),
% 49.36/32.42 inference(quant_inst,[status(thm)],[])).
% 49.36/32.42 tff(18125,plain,
% 49.36/32.42 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB127, bitIndex2)) | v26(constB127) | v130(constB127, bitIndex2)),
% 49.36/32.42 inference(modus_ponens,[status(thm)],[18124, 18123])).
% 49.36/32.42 tff(18126,plain,
% 49.36/32.42 ((~v127(constB127, bitIndex2)) | v130(constB127, bitIndex2)),
% 49.36/32.42 inference(unit_resolution,[status(thm)],[18125, 1210, 18069])).
% 49.36/32.42 tff(18127,plain,
% 49.36/32.42 (~v127(constB127, bitIndex2)),
% 49.36/32.42 inference(unit_resolution,[status(thm)],[18126, 18119])).
% 49.36/32.42 tff(18128,plain,
% 49.36/32.42 (((~![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)))),
% 49.36/32.42 inference(rewrite,[status(thm)],[])).
% 49.36/32.42 tff(18129,plain,
% 49.36/32.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB127, constB128)) | v127(constB127, bitIndex2) | (~v129(constB128, bitIndex2)))),
% 49.36/32.42 inference(quant_inst,[status(thm)],[])).
% 49.36/32.42 tff(18130,plain,
% 49.36/32.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB127, constB128)) | v127(constB127, bitIndex2) | (~v129(constB128, bitIndex2))),
% 49.36/32.42 inference(modus_ponens,[status(thm)],[18129, 18128])).
% 49.36/32.42 tff(18131,plain,
% 49.36/32.42 (v127(constB127, bitIndex2) | (~v129(constB128, bitIndex2))),
% 49.36/32.42 inference(unit_resolution,[status(thm)],[18130, 1243, 18081])).
% 49.36/32.42 tff(18132,plain,
% 49.36/32.42 (~v129(constB128, bitIndex2)),
% 49.36/32.42 inference(unit_resolution,[status(thm)],[18131, 18127])).
% 49.36/32.42 tff(18133,plain,
% 49.36/32.42 (((~![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)))),
% 49.36/32.42 inference(rewrite,[status(thm)],[])).
% 49.36/32.42 tff(18134,plain,
% 49.36/32.42 (((~v90(constB128, bitIndex2)) | (~v100(constB128)) | v129(constB128, bitIndex2)) <=> ((~v90(constB128, bitIndex2)) | v129(constB128, bitIndex2) | (~v100(constB128)))),
% 49.36/32.42 inference(rewrite,[status(thm)],[])).
% 49.36/32.42 tff(18135,plain,
% 49.36/32.42 (((~![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))))),
% 49.36/32.42 inference(monotonicity,[status(thm)],[18134])).
% 49.36/32.42 tff(18136,plain,
% 49.36/32.42 (((~![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)))),
% 49.36/32.42 inference(transitivity,[status(thm)],[18135, 18133])).
% 49.36/32.42 tff(18137,plain,
% 49.36/32.42 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB128, bitIndex2)) | (~v100(constB128)) | v129(constB128, bitIndex2))),
% 49.36/32.42 inference(quant_inst,[status(thm)],[])).
% 49.36/32.42 tff(18138,plain,
% 49.36/32.42 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB128, bitIndex2)) | v129(constB128, bitIndex2) | (~v100(constB128))),
% 49.36/32.42 inference(modus_ponens,[status(thm)],[18137, 18136])).
% 49.36/32.42 tff(18139,plain,
% 49.36/32.42 ((~v90(constB128, bitIndex2)) | (~v100(constB128))),
% 49.36/32.42 inference(unit_resolution,[status(thm)],[18138, 1258, 18132])).
% 49.36/32.42 tff(18140,plain,
% 49.36/32.42 (~v90(constB128, bitIndex2)),
% 49.36/32.42 inference(unit_resolution,[status(thm)],[18139, 18115])).
% 49.36/32.42 tff(18141,plain,
% 49.36/32.42 ((~v1(constB129)) <=> (~v1(constB129))),
% 49.36/32.42 inference(rewrite,[status(thm)],[])).
% 49.36/32.42 tff(18142,axiom,(~v1(constB129)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_129_1_1')).
% 49.36/32.42 tff(18143,plain,
% 49.36/32.42 (~v1(constB129)),
% 49.36/32.42 inference(modus_ponens,[status(thm)],[18142, 18141])).
% 49.36/32.42 tff(18144,plain,
% 49.36/32.42 (nextState(constB128, constB129) <=> nextState(constB128, constB129)),
% 49.36/32.42 inference(rewrite,[status(thm)],[])).
% 49.36/32.42 tff(18145,axiom,(nextState(constB128, constB129)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_128_1')).
% 49.36/32.42 tff(18146,plain,
% 49.36/32.42 (nextState(constB128, constB129)),
% 49.36/32.42 inference(modus_ponens,[status(thm)],[18145, 18144])).
% 49.36/32.42 tff(18147,plain,
% 49.36/32.42 (((~![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)))),
% 49.36/32.42 inference(rewrite,[status(thm)],[])).
% 49.36/32.42 tff(18148,plain,
% 49.36/32.42 (((~nextState(constB128, constB129)) | (~v101(constB129)) | v1(constB129)) <=> (v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129)))),
% 49.36/32.42 inference(rewrite,[status(thm)],[])).
% 49.36/32.42 tff(18149,plain,
% 49.36/32.42 (((~![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))))),
% 49.36/32.42 inference(monotonicity,[status(thm)],[18148])).
% 49.36/32.42 tff(18150,plain,
% 49.36/32.42 (((~![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)))),
% 49.36/32.42 inference(transitivity,[status(thm)],[18149, 18147])).
% 49.36/32.42 tff(18151,plain,
% 49.36/32.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB128, constB129)) | (~v101(constB129)) | v1(constB129))),
% 49.36/32.42 inference(quant_inst,[status(thm)],[])).
% 49.36/32.42 tff(18152,plain,
% 49.36/32.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129))),
% 49.36/32.42 inference(modus_ponens,[status(thm)],[18151, 18150])).
% 49.36/32.42 tff(18153,plain,
% 49.36/32.42 (~v101(constB129)),
% 49.36/32.42 inference(unit_resolution,[status(thm)],[18152, 49, 18146, 18143])).
% 49.36/32.42 tff(18154,plain,
% 49.36/32.42 (((~![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)))),
% 49.36/32.42 inference(rewrite,[status(thm)],[])).
% 49.36/32.42 tff(18155,plain,
% 49.36/32.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB128, constB129)) | v101(constB129) | (~v100(constB129)))),
% 49.36/32.42 inference(quant_inst,[status(thm)],[])).
% 49.36/32.42 tff(18156,plain,
% 49.36/32.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB128, constB129)) | v101(constB129) | (~v100(constB129))),
% 49.36/32.42 inference(modus_ponens,[status(thm)],[18155, 18154])).
% 49.36/32.42 tff(18157,plain,
% 49.36/32.42 (v101(constB129) | (~v100(constB129))),
% 49.36/32.42 inference(unit_resolution,[status(thm)],[18156, 66, 18146])).
% 49.36/32.42 tff(18158,plain,
% 49.36/32.42 (~v100(constB129)),
% 49.36/32.42 inference(unit_resolution,[status(thm)],[18157, 18153])).
% 49.36/32.42 tff(18159,plain,
% 49.36/32.42 (((~![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)))),
% 49.36/32.42 inference(rewrite,[status(thm)],[])).
% 49.36/32.42 tff(18160,plain,
% 49.36/32.42 (((~nextState(constB128, constB129)) | v90(constB128, bitIndex2) | v100(constB129) | (~v90(constB129, bitIndex2))) <=> (v90(constB128, bitIndex2) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex2)))),
% 49.36/32.42 inference(rewrite,[status(thm)],[])).
% 49.36/32.42 tff(18161,plain,
% 49.36/32.42 (((~![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))))),
% 49.36/32.42 inference(monotonicity,[status(thm)],[18160])).
% 49.36/32.42 tff(18162,plain,
% 49.36/32.42 (((~![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)))),
% 49.36/32.42 inference(transitivity,[status(thm)],[18161, 18159])).
% 49.36/32.42 tff(18163,plain,
% 49.36/32.42 ((~![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)))),
% 49.36/32.42 inference(quant_inst,[status(thm)],[])).
% 49.36/32.42 tff(18164,plain,
% 49.36/32.42 ((~![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))),
% 49.36/32.42 inference(modus_ponens,[status(thm)],[18163, 18162])).
% 49.36/32.42 tff(18165,plain,
% 49.36/32.42 (v90(constB128, bitIndex2) | v100(constB129) | (~v90(constB129, bitIndex2))),
% 49.36/32.42 inference(unit_resolution,[status(thm)],[18164, 81, 18146])).
% 49.36/32.42 tff(18166,plain,
% 49.36/32.42 (v90(constB128, bitIndex2) | (~v90(constB129, bitIndex2))),
% 49.36/32.42 inference(unit_resolution,[status(thm)],[18165, 18158])).
% 49.36/32.42 tff(18167,plain,
% 49.36/32.42 (~v90(constB129, bitIndex2)),
% 49.36/32.42 inference(unit_resolution,[status(thm)],[18166, 18140])).
% 49.36/32.42 tff(18168,plain,
% 49.36/32.42 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB129, bitIndex2) | (~v88(constB129, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB129, bitIndex2) | (~v88(constB129, bitIndex2)))),
% 49.36/32.42 inference(rewrite,[status(thm)],[])).
% 49.36/32.42 tff(18169,plain,
% 49.36/32.42 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB129, bitIndex2) | (~v88(constB129, bitIndex2)))),
% 49.36/32.42 inference(quant_inst,[status(thm)],[])).
% 49.36/32.42 tff(18170,plain,
% 49.36/32.42 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB129, bitIndex2) | (~v88(constB129, bitIndex2))),
% 49.36/32.42 inference(modus_ponens,[status(thm)],[18169, 18168])).
% 49.36/32.42 tff(18171,plain,
% 49.36/32.42 (~v88(constB129, bitIndex2)),
% 49.36/32.42 inference(unit_resolution,[status(thm)],[18170, 8769, 18167])).
% 49.36/32.42 tff(18172,plain,
% 49.36/32.42 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB127)) | (~v130(constB127, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB127)) | (~v130(constB127, bitIndex0)))),
% 49.36/32.42 inference(rewrite,[status(thm)],[])).
% 49.36/32.42 tff(18173,plain,
% 49.36/32.42 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB127)) | (~v130(constB127, bitIndex0)))),
% 49.36/32.43 inference(quant_inst,[status(thm)],[])).
% 49.36/32.43 tff(18174,plain,
% 49.36/32.43 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB127)) | (~v130(constB127, bitIndex0))),
% 49.36/32.43 inference(modus_ponens,[status(thm)],[18173, 18172])).
% 49.36/32.43 tff(18175,plain,
% 49.36/32.43 (~v130(constB127, bitIndex0)),
% 49.36/32.43 inference(unit_resolution,[status(thm)],[18174, 1492, 18041])).
% 49.36/32.43 tff(18176,plain,
% 49.36/32.43 (((~![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))),
% 49.36/32.43 inference(rewrite,[status(thm)],[])).
% 49.36/32.43 tff(18177,plain,
% 49.36/32.43 ((v26(constB127) | v130(constB127, bitIndex0) | (~v127(constB127, bitIndex0))) <=> ((~v127(constB127, bitIndex0)) | v26(constB127) | v130(constB127, bitIndex0))),
% 49.36/32.43 inference(rewrite,[status(thm)],[])).
% 49.36/32.43 tff(18178,plain,
% 49.36/32.43 (((~![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)))),
% 49.36/32.43 inference(monotonicity,[status(thm)],[18177])).
% 49.36/32.43 tff(18179,plain,
% 49.36/32.43 (((~![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))),
% 49.36/32.43 inference(transitivity,[status(thm)],[18178, 18176])).
% 49.36/32.43 tff(18180,plain,
% 49.36/32.43 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB127) | v130(constB127, bitIndex0) | (~v127(constB127, bitIndex0)))),
% 49.36/32.43 inference(quant_inst,[status(thm)],[])).
% 49.36/32.43 tff(18181,plain,
% 49.36/32.43 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB127, bitIndex0)) | v26(constB127) | v130(constB127, bitIndex0)),
% 49.36/32.43 inference(modus_ponens,[status(thm)],[18180, 18179])).
% 49.36/32.43 tff(18182,plain,
% 49.36/32.43 ((~v127(constB127, bitIndex0)) | v130(constB127, bitIndex0)),
% 49.36/32.43 inference(unit_resolution,[status(thm)],[18181, 524, 18069])).
% 49.36/32.43 tff(18183,plain,
% 49.36/32.43 (~v127(constB127, bitIndex0)),
% 49.36/32.43 inference(unit_resolution,[status(thm)],[18182, 18175])).
% 49.36/32.43 tff(18184,plain,
% 49.36/32.43 (((~![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)))),
% 49.36/32.43 inference(rewrite,[status(thm)],[])).
% 49.36/32.43 tff(18185,plain,
% 49.36/32.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB127, constB128)) | v127(constB127, bitIndex0) | (~v129(constB128, bitIndex0)))),
% 49.36/32.43 inference(quant_inst,[status(thm)],[])).
% 49.36/32.43 tff(18186,plain,
% 49.36/32.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB127, constB128)) | v127(constB127, bitIndex0) | (~v129(constB128, bitIndex0))),
% 49.36/32.43 inference(modus_ponens,[status(thm)],[18185, 18184])).
% 49.36/32.43 tff(18187,plain,
% 49.36/32.43 (v127(constB127, bitIndex0) | (~v129(constB128, bitIndex0))),
% 49.36/32.43 inference(unit_resolution,[status(thm)],[18186, 542, 18081])).
% 49.36/32.43 tff(18188,plain,
% 49.36/32.43 (~v129(constB128, bitIndex0)),
% 49.36/32.43 inference(unit_resolution,[status(thm)],[18187, 18183])).
% 49.36/32.43 tff(18189,plain,
% 49.36/32.43 (((~![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)))),
% 49.36/32.43 inference(rewrite,[status(thm)],[])).
% 49.36/32.43 tff(18190,plain,
% 49.36/32.43 (((~v90(constB128, bitIndex0)) | (~v100(constB128)) | v129(constB128, bitIndex0)) <=> ((~v90(constB128, bitIndex0)) | v129(constB128, bitIndex0) | (~v100(constB128)))),
% 49.36/32.43 inference(rewrite,[status(thm)],[])).
% 49.36/32.43 tff(18191,plain,
% 49.36/32.43 (((~![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))))),
% 49.36/32.43 inference(monotonicity,[status(thm)],[18190])).
% 49.36/32.43 tff(18192,plain,
% 49.36/32.43 (((~![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)))),
% 49.36/32.43 inference(transitivity,[status(thm)],[18191, 18189])).
% 49.36/32.43 tff(18193,plain,
% 49.36/32.43 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB128, bitIndex0)) | (~v100(constB128)) | v129(constB128, bitIndex0))),
% 49.36/32.43 inference(quant_inst,[status(thm)],[])).
% 49.36/32.43 tff(18194,plain,
% 49.36/32.43 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB128, bitIndex0)) | v129(constB128, bitIndex0) | (~v100(constB128))),
% 49.36/32.43 inference(modus_ponens,[status(thm)],[18193, 18192])).
% 49.36/32.43 tff(18195,plain,
% 49.36/32.43 ((~v90(constB128, bitIndex0)) | (~v100(constB128))),
% 49.36/32.43 inference(unit_resolution,[status(thm)],[18194, 557, 18188])).
% 49.36/32.43 tff(18196,plain,
% 49.36/32.43 (~v90(constB128, bitIndex0)),
% 49.36/32.43 inference(unit_resolution,[status(thm)],[18195, 18115])).
% 49.36/32.43 tff(18197,plain,
% 49.36/32.43 (((~![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)))),
% 49.36/32.43 inference(rewrite,[status(thm)],[])).
% 49.36/32.43 tff(18198,plain,
% 49.36/32.43 (((~nextState(constB128, constB129)) | v90(constB128, bitIndex0) | v100(constB129) | (~v90(constB129, bitIndex0))) <=> (v90(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, bitIndex0)))),
% 49.36/32.43 inference(rewrite,[status(thm)],[])).
% 49.36/32.43 tff(18199,plain,
% 49.36/32.43 (((~![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))))),
% 49.36/32.43 inference(monotonicity,[status(thm)],[18198])).
% 49.36/32.43 tff(18200,plain,
% 49.36/32.43 (((~![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)))),
% 49.36/32.43 inference(transitivity,[status(thm)],[18199, 18197])).
% 49.36/32.43 tff(18201,plain,
% 49.36/32.43 ((~![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)))),
% 49.36/32.43 inference(quant_inst,[status(thm)],[])).
% 49.36/32.43 tff(18202,plain,
% 49.36/32.43 ((~![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))),
% 49.36/32.43 inference(modus_ponens,[status(thm)],[18201, 18200])).
% 49.36/32.43 tff(18203,plain,
% 49.36/32.43 (v90(constB128, bitIndex0) | v100(constB129) | (~v90(constB129, bitIndex0))),
% 49.36/32.43 inference(unit_resolution,[status(thm)],[18202, 123, 18146])).
% 49.36/32.43 tff(18204,plain,
% 49.36/32.43 (v90(constB128, bitIndex0) | (~v90(constB129, bitIndex0))),
% 49.36/32.43 inference(unit_resolution,[status(thm)],[18203, 18158])).
% 49.36/32.43 tff(18205,plain,
% 49.36/32.43 (~v90(constB129, bitIndex0)),
% 49.36/32.43 inference(unit_resolution,[status(thm)],[18204, 18196])).
% 49.36/32.43 tff(18206,plain,
% 49.36/32.43 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB129, bitIndex0) | (~v88(constB129, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB129, bitIndex0) | (~v88(constB129, bitIndex0)))),
% 49.36/32.43 inference(rewrite,[status(thm)],[])).
% 49.36/32.43 tff(18207,plain,
% 49.36/32.43 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB129, bitIndex0) | (~v88(constB129, bitIndex0)))),
% 49.36/32.43 inference(quant_inst,[status(thm)],[])).
% 49.36/32.43 tff(18208,plain,
% 49.36/32.43 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB129, bitIndex0) | (~v88(constB129, bitIndex0))),
% 49.36/32.43 inference(modus_ponens,[status(thm)],[18207, 18206])).
% 49.36/32.43 tff(18209,plain,
% 49.36/32.43 (~v88(constB129, bitIndex0)),
% 49.36/32.43 inference(unit_resolution,[status(thm)],[18208, 10505, 18205])).
% 49.36/32.43 tff(18210,plain,
% 49.36/32.43 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB127)) | v130(constB127, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB127)) | v130(constB127, bitIndex1))),
% 49.36/32.43 inference(rewrite,[status(thm)],[])).
% 49.36/32.43 tff(18211,plain,
% 49.36/32.43 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB127)) | v130(constB127, bitIndex1))),
% 49.36/32.43 inference(quant_inst,[status(thm)],[])).
% 49.36/32.43 tff(18212,plain,
% 49.36/32.43 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB127)) | v130(constB127, bitIndex1)),
% 49.36/32.43 inference(modus_ponens,[status(thm)],[18211, 18210])).
% 49.36/32.43 tff(18213,plain,
% 49.36/32.43 (v130(constB127, bitIndex1)),
% 49.36/32.43 inference(unit_resolution,[status(thm)],[18212, 1450, 18041])).
% 49.36/32.43 tff(18214,plain,
% 49.36/32.43 (((~![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))) | v26(constB127) | (~v130(constB127, bitIndex1)) | v127(constB127, bitIndex1))),
% 49.36/32.43 inference(rewrite,[status(thm)],[])).
% 49.36/32.43 tff(18215,plain,
% 49.36/32.43 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB127) | (~v130(constB127, bitIndex1)) | v127(constB127, bitIndex1))),
% 49.36/32.43 inference(quant_inst,[status(thm)],[])).
% 49.36/32.43 tff(18216,plain,
% 49.36/32.43 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB127) | (~v130(constB127, bitIndex1)) | v127(constB127, bitIndex1)),
% 49.36/32.43 inference(modus_ponens,[status(thm)],[18215, 18214])).
% 49.36/32.43 tff(18217,plain,
% 49.36/32.43 ((~v130(constB127, bitIndex1)) | v127(constB127, bitIndex1)),
% 49.36/32.43 inference(unit_resolution,[status(thm)],[18216, 681, 18069])).
% 49.36/32.43 tff(18218,plain,
% 49.36/32.43 (v127(constB127, bitIndex1)),
% 49.36/32.43 inference(unit_resolution,[status(thm)],[18217, 18213])).
% 49.36/32.43 tff(18219,plain,
% 49.36/32.43 (((~![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))),
% 49.36/32.43 inference(rewrite,[status(thm)],[])).
% 49.36/32.43 tff(18220,plain,
% 49.36/32.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB127, constB128)) | (~v127(constB127, bitIndex1)) | v129(constB128, bitIndex1))),
% 49.36/32.43 inference(quant_inst,[status(thm)],[])).
% 49.36/32.43 tff(18221,plain,
% 49.36/32.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB127, constB128)) | (~v127(constB127, bitIndex1)) | v129(constB128, bitIndex1)),
% 49.36/32.43 inference(modus_ponens,[status(thm)],[18220, 18219])).
% 49.36/32.43 tff(18222,plain,
% 49.36/32.43 ((~v127(constB127, bitIndex1)) | v129(constB128, bitIndex1)),
% 49.36/32.43 inference(unit_resolution,[status(thm)],[18221, 696, 18081])).
% 49.36/32.43 tff(18223,plain,
% 49.36/32.43 (v129(constB128, bitIndex1)),
% 49.36/32.43 inference(unit_resolution,[status(thm)],[18222, 18218])).
% 49.36/32.43 tff(18224,plain,
% 49.36/32.43 (((~![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)))),
% 49.36/32.43 inference(rewrite,[status(thm)],[])).
% 49.36/32.43 tff(18225,plain,
% 49.36/32.43 ((v90(constB128, bitIndex1) | (~v100(constB128)) | (~v129(constB128, bitIndex1))) <=> (v90(constB128, bitIndex1) | (~v129(constB128, bitIndex1)) | (~v100(constB128)))),
% 49.36/32.43 inference(rewrite,[status(thm)],[])).
% 49.36/32.43 tff(18226,plain,
% 49.36/32.43 (((~![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))))),
% 49.36/32.43 inference(monotonicity,[status(thm)],[18225])).
% 49.36/32.43 tff(18227,plain,
% 49.36/32.43 (((~![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)))),
% 49.36/32.43 inference(transitivity,[status(thm)],[18226, 18224])).
% 49.36/32.43 tff(18228,plain,
% 49.36/32.43 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB128, bitIndex1) | (~v100(constB128)) | (~v129(constB128, bitIndex1)))),
% 49.36/32.43 inference(quant_inst,[status(thm)],[])).
% 49.36/32.43 tff(18229,plain,
% 49.36/32.43 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB128, bitIndex1) | (~v129(constB128, bitIndex1)) | (~v100(constB128))),
% 49.36/32.43 inference(modus_ponens,[status(thm)],[18228, 18227])).
% 49.36/32.43 tff(18230,plain,
% 49.36/32.43 (v90(constB128, bitIndex1) | (~v100(constB128))),
% 49.36/32.43 inference(unit_resolution,[status(thm)],[18229, 711, 18223])).
% 49.36/32.43 tff(18231,plain,
% 49.36/32.43 (v90(constB128, bitIndex1)),
% 49.36/32.43 inference(unit_resolution,[status(thm)],[18230, 18115])).
% 49.36/32.43 tff(18232,plain,
% 49.36/32.43 (((~![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))),
% 49.36/32.43 inference(rewrite,[status(thm)],[])).
% 49.36/32.43 tff(18233,plain,
% 49.36/32.43 (((~nextState(constB128, constB129)) | (~v90(constB128, bitIndex1)) | v100(constB129) | v90(constB129, bitIndex1)) <=> ((~v90(constB128, bitIndex1)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, bitIndex1))),
% 49.36/32.43 inference(rewrite,[status(thm)],[])).
% 49.36/32.43 tff(18234,plain,
% 49.36/32.43 (((~![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)))),
% 49.36/32.43 inference(monotonicity,[status(thm)],[18233])).
% 49.36/32.43 tff(18235,plain,
% 49.36/32.43 (((~![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))),
% 49.36/32.43 inference(transitivity,[status(thm)],[18234, 18232])).
% 49.36/32.43 tff(18236,plain,
% 49.36/32.43 ((~![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))),
% 49.36/32.43 inference(quant_inst,[status(thm)],[])).
% 49.36/32.43 tff(18237,plain,
% 49.36/32.43 ((~![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)),
% 49.36/32.43 inference(modus_ponens,[status(thm)],[18236, 18235])).
% 49.36/32.43 tff(18238,plain,
% 49.36/32.43 ((~v90(constB128, bitIndex1)) | v100(constB129) | v90(constB129, bitIndex1)),
% 49.36/32.43 inference(unit_resolution,[status(thm)],[18237, 747, 18146])).
% 49.36/32.43 tff(18239,plain,
% 49.36/32.43 ((~v90(constB128, bitIndex1)) | v90(constB129, bitIndex1)),
% 49.36/32.43 inference(unit_resolution,[status(thm)],[18238, 18158])).
% 49.36/32.43 tff(18240,plain,
% 49.36/32.43 (v90(constB129, bitIndex1)),
% 49.36/32.43 inference(unit_resolution,[status(thm)],[18239, 18231])).
% 49.36/32.43 tff(18241,plain,
% 49.36/32.43 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB129, bitIndex1)) | v88(constB129, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB129, bitIndex1)) | v88(constB129, bitIndex1))),
% 49.36/32.43 inference(rewrite,[status(thm)],[])).
% 49.36/32.43 tff(18242,plain,
% 49.36/32.43 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB129, bitIndex1)) | v88(constB129, bitIndex1))),
% 49.36/32.43 inference(quant_inst,[status(thm)],[])).
% 49.36/32.43 tff(18243,plain,
% 49.36/32.43 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB129, bitIndex1)) | v88(constB129, bitIndex1)),
% 49.36/32.43 inference(modus_ponens,[status(thm)],[18242, 18241])).
% 49.36/32.43 tff(18244,plain,
% 49.36/32.43 (v88(constB129, bitIndex1)),
% 49.36/32.43 inference(unit_resolution,[status(thm)],[18243, 8707, 18240])).
% 49.36/32.43 tff(18245,plain,
% 49.36/32.43 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | ((~v88(constB129, bitIndex1)) | v88(constB129, bitIndex2) | v88(constB129, bitIndex0) | v143(constB129))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB129, bitIndex1)) | v88(constB129, bitIndex2) | v88(constB129, bitIndex0) | v143(constB129))),
% 49.36/32.43 inference(rewrite,[status(thm)],[])).
% 49.36/32.43 tff(18246,plain,
% 49.36/32.43 ((v88(constB129, bitIndex2) | (~v88(constB129, bitIndex1)) | v88(constB129, bitIndex0) | v143(constB129)) <=> ((~v88(constB129, bitIndex1)) | v88(constB129, bitIndex2) | v88(constB129, bitIndex0) | v143(constB129))),
% 49.36/32.43 inference(rewrite,[status(thm)],[])).
% 49.36/32.43 tff(18247,plain,
% 49.36/32.43 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB129, bitIndex2) | (~v88(constB129, bitIndex1)) | v88(constB129, bitIndex0) | v143(constB129))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | ((~v88(constB129, bitIndex1)) | v88(constB129, bitIndex2) | v88(constB129, bitIndex0) | v143(constB129)))),
% 49.36/32.43 inference(monotonicity,[status(thm)],[18246])).
% 49.36/32.43 tff(18248,plain,
% 49.36/32.43 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB129, bitIndex2) | (~v88(constB129, bitIndex1)) | v88(constB129, bitIndex0) | v143(constB129))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB129, bitIndex1)) | v88(constB129, bitIndex2) | v88(constB129, bitIndex0) | v143(constB129))),
% 49.36/32.43 inference(transitivity,[status(thm)],[18247, 18245])).
% 49.36/32.43 tff(18249,plain,
% 49.36/32.43 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB129, bitIndex2) | (~v88(constB129, bitIndex1)) | v88(constB129, bitIndex0) | v143(constB129))),
% 49.36/32.43 inference(quant_inst,[status(thm)],[])).
% 49.36/32.43 tff(18250,plain,
% 49.36/32.43 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB129, bitIndex1)) | v88(constB129, bitIndex2) | v88(constB129, bitIndex0) | v143(constB129)),
% 49.36/32.43 inference(modus_ponens,[status(thm)],[18249, 18248])).
% 49.36/32.43 tff(18251,plain,
% 49.36/32.43 (v143(constB129)),
% 49.36/32.43 inference(unit_resolution,[status(thm)],[18250, 10523, 18244, 18209, 18171])).
% 49.36/32.43 tff(18252,plain,
% 49.36/32.43 (((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB129) | (~v143(constB129)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB129) | (~v143(constB129)))),
% 49.36/32.43 inference(rewrite,[status(thm)],[])).
% 49.36/32.43 tff(18253,plain,
% 49.36/32.43 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB129) | (~v143(constB129)))),
% 49.36/32.43 inference(quant_inst,[status(thm)],[])).
% 49.36/32.43 tff(18254,plain,
% 49.36/32.43 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB129) | (~v143(constB129))),
% 49.36/32.43 inference(modus_ponens,[status(thm)],[18253, 18252])).
% 49.36/32.43 tff(18255,plain,
% 49.36/32.43 (v142(constB129)),
% 49.36/32.43 inference(unit_resolution,[status(thm)],[18254, 10537, 18251])).
% 49.36/32.43 tff(18256,plain,
% 49.36/32.43 (((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB129) | (~v142(constB129)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB129) | (~v142(constB129)))),
% 49.36/32.43 inference(rewrite,[status(thm)],[])).
% 49.36/32.43 tff(18257,plain,
% 49.36/32.43 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB129) | (~v142(constB129)))),
% 49.36/32.43 inference(quant_inst,[status(thm)],[])).
% 49.36/32.43 tff(18258,plain,
% 49.36/32.43 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB129) | (~v142(constB129))),
% 49.36/32.43 inference(modus_ponens,[status(thm)],[18257, 18256])).
% 49.36/32.43 tff(18259,plain,
% 49.36/32.43 (v198(constB129)),
% 49.36/32.43 inference(unit_resolution,[status(thm)],[18258, 10548, 18255])).
% 49.36/32.43 tff(18260,plain,
% 49.36/32.43 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB129)) | (~v201(constB129)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB129)) | (~v201(constB129)))),
% 49.36/32.43 inference(rewrite,[status(thm)],[])).
% 49.36/32.43 tff(18261,plain,
% 49.36/32.43 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB129)) | (~v201(constB129)))),
% 49.36/32.43 inference(quant_inst,[status(thm)],[])).
% 49.36/32.43 tff(18262,plain,
% 49.36/32.43 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB129)) | (~v201(constB129))),
% 49.36/32.43 inference(modus_ponens,[status(thm)],[18261, 18260])).
% 49.36/32.43 tff(18263,plain,
% 49.36/32.43 (~v201(constB129)),
% 49.36/32.43 inference(unit_resolution,[status(thm)],[18262, 8823, 18259])).
% 49.36/32.43 tff(18264,plain,
% 49.36/32.43 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB129) | (~v198(constB129)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB129) | (~v198(constB129)))),
% 49.36/32.43 inference(rewrite,[status(thm)],[])).
% 49.36/32.43 tff(18265,plain,
% 49.36/32.43 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB129) | (~v198(constB129)))),
% 49.36/32.43 inference(quant_inst,[status(thm)],[])).
% 49.36/32.43 tff(18266,plain,
% 49.36/32.43 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB129) | (~v198(constB129))),
% 49.36/32.43 inference(modus_ponens,[status(thm)],[18265, 18264])).
% 49.36/32.43 tff(18267,plain,
% 49.36/32.43 (v197(constB129)),
% 49.36/32.43 inference(unit_resolution,[status(thm)],[18266, 8834, 18259])).
% 49.36/32.43 tff(18268,plain,
% 49.36/32.43 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB129) | (~v197(constB129)) | v201(constB129))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB129) | (~v197(constB129)) | v201(constB129))),
% 49.36/32.43 inference(rewrite,[status(thm)],[])).
% 49.36/32.43 tff(18269,plain,
% 49.36/32.43 (((~v197(constB129)) | v201(constB129) | v227(constB129)) <=> (v227(constB129) | (~v197(constB129)) | v201(constB129))),
% 49.36/32.43 inference(rewrite,[status(thm)],[])).
% 49.36/32.43 tff(18270,plain,
% 49.36/32.43 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB129)) | v201(constB129) | v227(constB129))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB129) | (~v197(constB129)) | v201(constB129)))),
% 49.36/32.43 inference(monotonicity,[status(thm)],[18269])).
% 49.36/32.43 tff(18271,plain,
% 49.36/32.43 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB129)) | v201(constB129) | v227(constB129))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB129) | (~v197(constB129)) | v201(constB129))),
% 49.36/32.43 inference(transitivity,[status(thm)],[18270, 18268])).
% 49.36/32.43 tff(18272,plain,
% 49.36/32.43 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB129)) | v201(constB129) | v227(constB129))),
% 49.36/32.43 inference(quant_inst,[status(thm)],[])).
% 49.36/32.43 tff(18273,plain,
% 49.36/32.43 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB129) | (~v197(constB129)) | v201(constB129)),
% 49.36/32.43 inference(modus_ponens,[status(thm)],[18272, 18271])).
% 49.36/32.43 tff(18274,plain,
% 49.36/32.43 (v227(constB129)),
% 49.36/32.43 inference(unit_resolution,[status(thm)],[18273, 8848, 18267, 18263])).
% 49.36/32.43 tff(18275,plain,
% 49.36/32.43 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB129)) | (~v223(constB129, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB129)) | (~v223(constB129, bitIndex0)))),
% 49.36/32.43 inference(rewrite,[status(thm)],[])).
% 49.36/32.43 tff(18276,plain,
% 49.36/32.43 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB129)) | (~v223(constB129, bitIndex0)))),
% 49.36/32.43 inference(quant_inst,[status(thm)],[])).
% 49.36/32.43 tff(18277,plain,
% 49.36/32.43 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB129)) | (~v223(constB129, bitIndex0))),
% 49.36/32.43 inference(modus_ponens,[status(thm)],[18276, 18275])).
% 49.36/32.43 tff(18278,plain,
% 49.36/32.43 (~v223(constB129, bitIndex0)),
% 49.36/32.43 inference(unit_resolution,[status(thm)],[18277, 8862, 18274])).
% 49.36/32.43 tff(18279,plain,
% 49.36/32.43 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB129, bitIndex0) | (~v222(constB129)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | v223(constB129, bitIndex0) | (~v222(constB129)))),
% 49.36/32.43 inference(rewrite,[status(thm)],[])).
% 49.36/32.43 tff(18280,plain,
% 49.36/32.43 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB129, bitIndex0) | (~v222(constB129)))),
% 49.36/32.43 inference(quant_inst,[status(thm)],[])).
% 49.36/32.43 tff(18281,plain,
% 49.36/32.43 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | v223(constB129, bitIndex0) | (~v222(constB129))),
% 49.36/32.43 inference(modus_ponens,[status(thm)],[18280, 18279])).
% 49.36/32.43 tff(18282,plain,
% 49.36/32.43 (~v222(constB129)),
% 49.36/32.43 inference(unit_resolution,[status(thm)],[18281, 10578, 18278])).
% 49.36/32.43 tff(18283,plain,
% 49.36/32.43 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB129, bitIndex1)) | (~v139(constB129)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB129, bitIndex1)) | (~v139(constB129)))),
% 49.36/32.43 inference(rewrite,[status(thm)],[])).
% 49.36/32.43 tff(18284,plain,
% 49.36/32.43 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB129, bitIndex1)) | (~v139(constB129)))),
% 49.36/32.43 inference(quant_inst,[status(thm)],[])).
% 49.36/32.43 tff(18285,plain,
% 49.36/32.43 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB129, bitIndex1)) | (~v139(constB129))),
% 49.36/32.43 inference(modus_ponens,[status(thm)],[18284, 18283])).
% 49.36/32.43 tff(18286,plain,
% 49.36/32.43 (~v139(constB129)),
% 49.36/32.43 inference(unit_resolution,[status(thm)],[18285, 10589, 18244])).
% 49.36/32.43 tff(18287,plain,
% 49.36/32.43 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB129, bitIndex1)) | (~v140(constB129)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB129, bitIndex1)) | (~v140(constB129)))),
% 49.36/32.43 inference(rewrite,[status(thm)],[])).
% 49.36/32.43 tff(18288,plain,
% 49.36/32.43 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB129, bitIndex1)) | (~v140(constB129)))),
% 49.36/32.43 inference(quant_inst,[status(thm)],[])).
% 49.36/32.43 tff(18289,plain,
% 49.36/32.43 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB129, bitIndex1)) | (~v140(constB129))),
% 49.36/32.43 inference(modus_ponens,[status(thm)],[18288, 18287])).
% 49.36/32.43 tff(18290,plain,
% 49.36/32.43 (~v140(constB129)),
% 49.36/32.43 inference(unit_resolution,[status(thm)],[18289, 9002, 18244])).
% 49.36/32.43 tff(18291,plain,
% 49.36/32.43 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB129) | v139(constB129) | (~v200(constB129)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB129) | v139(constB129) | (~v200(constB129)))),
% 49.36/32.43 inference(rewrite,[status(thm)],[])).
% 49.36/32.43 tff(18292,plain,
% 49.36/32.43 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB129) | v139(constB129) | (~v200(constB129)))),
% 49.36/32.43 inference(quant_inst,[status(thm)],[])).
% 49.36/32.43 tff(18293,plain,
% 49.36/32.43 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB129) | v139(constB129) | (~v200(constB129))),
% 49.36/32.43 inference(modus_ponens,[status(thm)],[18292, 18291])).
% 49.36/32.43 tff(18294,plain,
% 49.36/32.43 (~v200(constB129)),
% 49.36/32.43 inference(unit_resolution,[status(thm)],[18293, 10610, 18290, 18286])).
% 49.36/32.43 tff(18295,plain,
% 49.36/32.43 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB129, bitIndex0) | (~v141(constB129)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB129, bitIndex0) | (~v141(constB129)))),
% 49.36/32.43 inference(rewrite,[status(thm)],[])).
% 49.36/32.43 tff(18296,plain,
% 49.36/32.43 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB129, bitIndex0) | (~v141(constB129)))),
% 49.36/32.43 inference(quant_inst,[status(thm)],[])).
% 49.36/32.43 tff(18297,plain,
% 49.36/32.43 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB129, bitIndex0) | (~v141(constB129))),
% 49.36/32.43 inference(modus_ponens,[status(thm)],[18296, 18295])).
% 49.36/32.43 tff(18298,plain,
% 49.36/32.43 (~v141(constB129)),
% 49.36/32.43 inference(unit_resolution,[status(thm)],[18297, 10624, 18209])).
% 49.36/32.43 tff(18299,plain,
% 49.36/32.43 (((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB129) | v200(constB129) | (~v166(constB129)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB129) | v200(constB129) | (~v166(constB129)))),
% 49.36/32.43 inference(rewrite,[status(thm)],[])).
% 49.36/32.43 tff(18300,plain,
% 49.36/32.43 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB129) | v200(constB129) | (~v166(constB129)))),
% 49.36/32.43 inference(quant_inst,[status(thm)],[])).
% 49.36/32.43 tff(18301,plain,
% 49.36/32.44 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB129) | v200(constB129) | (~v166(constB129))),
% 49.36/32.44 inference(modus_ponens,[status(thm)],[18300, 18299])).
% 49.36/32.44 tff(18302,plain,
% 49.36/32.44 (~v166(constB129)),
% 49.36/32.44 inference(unit_resolution,[status(thm)],[18301, 10638, 18298, 18294])).
% 49.36/32.44 tff(18303,plain,
% 49.36/32.44 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB129) | v166(constB129) | (~v197(constB129)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB129) | v166(constB129) | (~v197(constB129)))),
% 49.36/32.44 inference(rewrite,[status(thm)],[])).
% 49.36/32.44 tff(18304,plain,
% 49.36/32.44 (((~v197(constB129)) | v166(constB129) | v241(constB129)) <=> (v241(constB129) | v166(constB129) | (~v197(constB129)))),
% 49.36/32.44 inference(rewrite,[status(thm)],[])).
% 49.36/32.44 tff(18305,plain,
% 49.36/32.44 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB129)) | v166(constB129) | v241(constB129))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB129) | v166(constB129) | (~v197(constB129))))),
% 49.36/32.44 inference(monotonicity,[status(thm)],[18304])).
% 49.36/32.44 tff(18306,plain,
% 49.36/32.44 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB129)) | v166(constB129) | v241(constB129))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB129) | v166(constB129) | (~v197(constB129)))),
% 49.36/32.44 inference(transitivity,[status(thm)],[18305, 18303])).
% 49.36/32.44 tff(18307,plain,
% 49.36/32.44 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB129)) | v166(constB129) | v241(constB129))),
% 49.36/32.44 inference(quant_inst,[status(thm)],[])).
% 49.36/32.44 tff(18308,plain,
% 49.36/32.44 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB129) | v166(constB129) | (~v197(constB129))),
% 49.36/32.44 inference(modus_ponens,[status(thm)],[18307, 18306])).
% 49.36/32.44 tff(18309,plain,
% 49.36/32.44 (v241(constB129) | (~v197(constB129))),
% 49.36/32.44 inference(unit_resolution,[status(thm)],[18308, 10277, 18302])).
% 49.36/32.44 tff(18310,plain,
% 49.36/32.44 (v241(constB129)),
% 49.36/32.44 inference(unit_resolution,[status(thm)],[18309, 18267])).
% 49.36/32.44 tff(18311,plain,
% 49.36/32.44 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB129)) | (~v223(constB129, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB129)) | (~v223(constB129, bitIndex2)))),
% 49.36/32.44 inference(rewrite,[status(thm)],[])).
% 49.36/32.44 tff(18312,plain,
% 49.36/32.44 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB129)) | (~v223(constB129, bitIndex2)))),
% 49.36/32.44 inference(quant_inst,[status(thm)],[])).
% 49.36/32.44 tff(18313,plain,
% 49.36/32.44 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB129)) | (~v223(constB129, bitIndex2))),
% 49.36/32.44 inference(modus_ponens,[status(thm)],[18312, 18311])).
% 49.36/32.44 tff(18314,plain,
% 49.36/32.44 (~v223(constB129, bitIndex2)),
% 49.36/32.44 inference(unit_resolution,[status(thm)],[18313, 10292, 18310])).
% 49.36/32.44 tff(18315,plain,
% 49.36/32.44 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB129)) | v223(constB129, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB129)) | v223(constB129, bitIndex2))),
% 49.36/32.44 inference(rewrite,[status(thm)],[])).
% 49.36/32.44 tff(18316,plain,
% 49.36/32.44 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB129)) | v223(constB129, bitIndex2))),
% 49.36/32.44 inference(quant_inst,[status(thm)],[])).
% 49.36/32.44 tff(18317,plain,
% 49.36/32.44 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB129)) | v223(constB129, bitIndex2)),
% 49.36/32.44 inference(modus_ponens,[status(thm)],[18316, 18315])).
% 49.36/32.44 tff(18318,plain,
% 49.36/32.44 (~v224(constB129)),
% 49.36/32.44 inference(unit_resolution,[status(thm)],[18317, 10343, 18314])).
% 49.36/32.44 tff(18319,plain,
% 49.36/32.44 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB129) | v224(constB129) | (~v236(constB129)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB129) | v224(constB129) | (~v236(constB129)))),
% 49.36/32.44 inference(rewrite,[status(thm)],[])).
% 49.36/32.44 tff(18320,plain,
% 49.36/32.44 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB129) | v224(constB129) | (~v236(constB129)))),
% 49.36/32.44 inference(quant_inst,[status(thm)],[])).
% 49.36/32.44 tff(18321,plain,
% 49.36/32.44 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB129) | v224(constB129) | (~v236(constB129))),
% 49.36/32.44 inference(modus_ponens,[status(thm)],[18320, 18319])).
% 49.36/32.44 tff(18322,plain,
% 49.36/32.44 (~v236(constB129)),
% 49.36/32.44 inference(unit_resolution,[status(thm)],[18321, 8968, 18318, 18282])).
% 49.36/32.44 tff(18323,plain,
% 49.36/32.44 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB129) | (~v232(constB129)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB129) | (~v232(constB129)))),
% 49.36/32.44 inference(rewrite,[status(thm)],[])).
% 49.36/32.44 tff(18324,plain,
% 49.36/32.44 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB129) | (~v232(constB129)))),
% 49.36/32.44 inference(quant_inst,[status(thm)],[])).
% 49.36/32.44 tff(18325,plain,
% 49.36/32.44 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB129) | (~v232(constB129))),
% 49.36/32.44 inference(modus_ponens,[status(thm)],[18324, 18323])).
% 49.36/32.44 tff(18326,plain,
% 49.36/32.44 (~v232(constB129)),
% 49.36/32.44 inference(unit_resolution,[status(thm)],[18325, 8980, 18322])).
% 49.36/32.44 tff(18327,plain,
% 49.36/32.44 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB129) | v139(constB129) | (~v148(constB129)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB129) | v139(constB129) | (~v148(constB129)))),
% 49.36/32.44 inference(rewrite,[status(thm)],[])).
% 49.36/32.44 tff(18328,plain,
% 49.36/32.44 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB129) | v139(constB129) | (~v148(constB129)))),
% 49.36/32.44 inference(quant_inst,[status(thm)],[])).
% 49.36/32.44 tff(18329,plain,
% 49.36/32.44 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB129) | v139(constB129) | (~v148(constB129))),
% 49.36/32.44 inference(modus_ponens,[status(thm)],[18328, 18327])).
% 49.36/32.44 tff(18330,plain,
% 49.36/32.44 (~v148(constB129)),
% 49.36/32.44 inference(unit_resolution,[status(thm)],[18329, 9016, 18290, 18286])).
% 49.36/32.44 tff(18331,plain,
% 49.36/32.44 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB129) | v148(constB129) | (~v197(constB129)))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB129) | v148(constB129) | (~v197(constB129)))),
% 49.36/32.44 inference(rewrite,[status(thm)],[])).
% 49.36/32.44 tff(18332,plain,
% 49.36/32.44 ((v148(constB129) | (~v197(constB129)) | v252(constB129)) <=> (v252(constB129) | v148(constB129) | (~v197(constB129)))),
% 49.36/32.44 inference(rewrite,[status(thm)],[])).
% 49.36/32.44 tff(18333,plain,
% 49.36/32.44 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB129) | (~v197(constB129)) | v252(constB129))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB129) | v148(constB129) | (~v197(constB129))))),
% 49.36/32.44 inference(monotonicity,[status(thm)],[18332])).
% 49.36/32.44 tff(18334,plain,
% 49.36/32.44 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB129) | (~v197(constB129)) | v252(constB129))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB129) | v148(constB129) | (~v197(constB129)))),
% 49.36/32.44 inference(transitivity,[status(thm)],[18333, 18331])).
% 49.36/32.44 tff(18335,plain,
% 49.36/32.44 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB129) | (~v197(constB129)) | v252(constB129))),
% 49.36/32.44 inference(quant_inst,[status(thm)],[])).
% 49.36/32.44 tff(18336,plain,
% 49.36/32.44 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB129) | v148(constB129) | (~v197(constB129))),
% 49.36/32.44 inference(modus_ponens,[status(thm)],[18335, 18334])).
% 49.36/32.44 tff(18337,plain,
% 49.36/32.44 (v252(constB129) | (~v197(constB129))),
% 49.36/32.44 inference(unit_resolution,[status(thm)],[18336, 9033, 18330])).
% 49.36/32.44 tff(18338,plain,
% 49.36/32.44 (v252(constB129)),
% 49.36/32.44 inference(unit_resolution,[status(thm)],[18337, 18267])).
% 49.36/32.44 tff(18339,plain,
% 49.36/32.44 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB129)) | (~v223(constB129, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB129)) | (~v223(constB129, bitIndex3)))),
% 49.36/32.44 inference(rewrite,[status(thm)],[])).
% 49.36/32.44 tff(18340,plain,
% 49.36/32.44 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB129)) | (~v223(constB129, bitIndex3)))),
% 49.36/32.44 inference(quant_inst,[status(thm)],[])).
% 49.36/32.44 tff(18341,plain,
% 49.36/32.44 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB129)) | (~v223(constB129, bitIndex3))),
% 49.36/32.44 inference(modus_ponens,[status(thm)],[18340, 18339])).
% 49.36/32.44 tff(18342,plain,
% 49.36/32.44 (~v223(constB129, bitIndex3)),
% 49.36/32.44 inference(unit_resolution,[status(thm)],[18341, 9048, 18338])).
% 49.36/32.44 tff(18343,plain,
% 49.36/32.44 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB129)) | v223(constB129, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB129)) | v223(constB129, bitIndex3))),
% 49.36/32.44 inference(rewrite,[status(thm)],[])).
% 49.36/32.44 tff(18344,plain,
% 49.36/32.44 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB129)) | v223(constB129, bitIndex3))),
% 49.36/32.44 inference(quant_inst,[status(thm)],[])).
% 49.36/32.44 tff(18345,plain,
% 49.36/32.44 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB129)) | v223(constB129, bitIndex3)),
% 49.36/32.44 inference(modus_ponens,[status(thm)],[18344, 18343])).
% 49.36/32.44 tff(18346,plain,
% 49.36/32.44 (~v237(constB129)),
% 49.36/32.44 inference(unit_resolution,[status(thm)],[18345, 9062, 18342])).
% 49.36/32.44 tff(18347,plain,
% 49.36/32.44 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB129) | v232(constB129) | (~v248(constB129)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB129) | v232(constB129) | (~v248(constB129)))),
% 49.36/32.44 inference(rewrite,[status(thm)],[])).
% 49.36/32.44 tff(18348,plain,
% 49.36/32.44 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB129) | v232(constB129) | (~v248(constB129)))),
% 49.36/32.44 inference(quant_inst,[status(thm)],[])).
% 49.36/32.44 tff(18349,plain,
% 49.36/32.44 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB129) | v232(constB129) | (~v248(constB129))),
% 49.36/32.44 inference(modus_ponens,[status(thm)],[18348, 18347])).
% 49.36/32.44 tff(18350,plain,
% 49.36/32.44 (v232(constB129) | (~v248(constB129))),
% 49.36/32.44 inference(unit_resolution,[status(thm)],[18349, 9076, 18346])).
% 49.36/32.44 tff(18351,plain,
% 49.36/32.44 (~v248(constB129)),
% 49.36/32.44 inference(unit_resolution,[status(thm)],[18350, 18326])).
% 49.36/32.44 tff(18352,plain,
% 49.36/32.44 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB129) | (~v244(constB129)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB129) | (~v244(constB129)))),
% 49.36/32.44 inference(rewrite,[status(thm)],[])).
% 49.36/32.44 tff(18353,plain,
% 49.36/32.44 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB129) | (~v244(constB129)))),
% 49.36/32.44 inference(quant_inst,[status(thm)],[])).
% 49.36/32.44 tff(18354,plain,
% 49.36/32.44 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB129) | (~v244(constB129))),
% 49.36/32.44 inference(modus_ponens,[status(thm)],[18353, 18352])).
% 49.36/32.44 tff(18355,plain,
% 49.36/32.44 (~v244(constB129)),
% 49.36/32.44 inference(unit_resolution,[status(thm)],[18354, 11335, 18351])).
% 49.36/32.44 tff(18356,plain,
% 49.36/32.44 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB129) | (~v216(constB129, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB129) | (~v216(constB129, bitIndex1)))),
% 49.36/32.44 inference(rewrite,[status(thm)],[])).
% 49.36/32.44 tff(18357,plain,
% 49.36/32.44 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB129) | (~v216(constB129, bitIndex1)))),
% 49.36/32.44 inference(quant_inst,[status(thm)],[])).
% 49.36/32.44 tff(18358,plain,
% 49.36/32.44 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB129) | (~v216(constB129, bitIndex1))),
% 49.36/32.44 inference(modus_ponens,[status(thm)],[18357, 18356])).
% 49.36/32.44 tff(18359,plain,
% 49.36/32.44 (~v216(constB129, bitIndex1)),
% 49.36/32.44 inference(unit_resolution,[status(thm)],[18358, 11346, 18355])).
% 49.36/32.44 tff(18360,plain,
% 49.36/32.44 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB129, bitIndex1) | (~v254(constB129)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB129, bitIndex1) | (~v254(constB129)))),
% 49.36/32.44 inference(rewrite,[status(thm)],[])).
% 49.36/32.44 tff(18361,plain,
% 49.36/32.44 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB129, bitIndex1) | (~v254(constB129)))),
% 49.36/32.44 inference(quant_inst,[status(thm)],[])).
% 49.36/32.44 tff(18362,plain,
% 49.36/32.44 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB129, bitIndex1) | (~v254(constB129))),
% 49.36/32.44 inference(modus_ponens,[status(thm)],[18361, 18360])).
% 49.36/32.44 tff(18363,plain,
% 49.36/32.44 (~v254(constB129)),
% 49.36/32.44 inference(unit_resolution,[status(thm)],[18362, 11357, 18359])).
% 49.36/32.44 tff(18364,plain,
% 49.36/32.44 (((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB129) | (~v221(constB129)))) <=> ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB129) | (~v221(constB129)))),
% 49.36/32.44 inference(rewrite,[status(thm)],[])).
% 49.36/32.44 tff(18365,plain,
% 49.36/32.44 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB129) | (~v221(constB129)))),
% 49.36/32.44 inference(quant_inst,[status(thm)],[])).
% 49.36/32.44 tff(18366,plain,
% 49.36/32.44 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB129) | (~v221(constB129))),
% 49.36/32.44 inference(modus_ponens,[status(thm)],[18365, 18364])).
% 49.36/32.44 tff(18367,plain,
% 49.36/32.44 (~v221(constB129)),
% 49.36/32.44 inference(unit_resolution,[status(thm)],[18366, 11505, 18318])).
% 49.36/32.44 tff(18368,plain,
% 49.36/32.44 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB129) | (~v231(constB129)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB129) | (~v231(constB129)))),
% 49.36/32.44 inference(rewrite,[status(thm)],[])).
% 49.36/32.44 tff(18369,plain,
% 49.36/32.44 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB129) | (~v231(constB129)))),
% 49.36/32.44 inference(quant_inst,[status(thm)],[])).
% 49.36/32.44 tff(18370,plain,
% 49.36/32.44 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB129) | (~v231(constB129))),
% 49.36/32.44 inference(modus_ponens,[status(thm)],[18369, 18368])).
% 49.36/32.44 tff(18371,plain,
% 49.36/32.44 (~v231(constB129)),
% 49.36/32.44 inference(unit_resolution,[status(thm)],[18370, 11162, 18346])).
% 49.36/32.44 tff(18372,plain,
% 49.36/32.44 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB129) | v231(constB129) | (~v243(constB129)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB129) | v231(constB129) | (~v243(constB129)))),
% 49.36/32.44 inference(rewrite,[status(thm)],[])).
% 49.36/32.44 tff(18373,plain,
% 49.36/32.44 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB129) | v231(constB129) | (~v243(constB129)))),
% 49.36/32.44 inference(quant_inst,[status(thm)],[])).
% 49.36/32.44 tff(18374,plain,
% 49.36/32.44 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB129) | v231(constB129) | (~v243(constB129))),
% 49.36/32.44 inference(modus_ponens,[status(thm)],[18373, 18372])).
% 49.36/32.44 tff(18375,plain,
% 49.36/32.44 (~v243(constB129)),
% 49.36/32.44 inference(unit_resolution,[status(thm)],[18374, 11206, 18371, 18367])).
% 49.36/32.44 tff(18376,plain,
% 49.36/32.44 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB129) | v255(constB129))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB129) | v255(constB129))),
% 49.36/32.44 inference(rewrite,[status(thm)],[])).
% 49.36/32.44 tff(18377,plain,
% 49.36/32.44 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB129) | v255(constB129))),
% 49.36/32.44 inference(quant_inst,[status(thm)],[])).
% 49.36/32.44 tff(18378,plain,
% 49.36/32.44 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB129) | v255(constB129)),
% 49.36/32.44 inference(modus_ponens,[status(thm)],[18377, 18376])).
% 49.36/32.44 tff(18379,plain,
% 49.36/32.44 (v255(constB129)),
% 49.36/32.44 inference(unit_resolution,[status(thm)],[18378, 11222, 18375])).
% 49.36/32.44 tff(18380,plain,
% 49.36/32.44 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB129)) | (~v216(constB129, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB129)) | (~v216(constB129, bitIndex2)))),
% 49.36/32.44 inference(rewrite,[status(thm)],[])).
% 49.36/32.44 tff(18381,plain,
% 49.36/32.44 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB129)) | (~v216(constB129, bitIndex2)))),
% 49.36/32.44 inference(quant_inst,[status(thm)],[])).
% 49.36/32.44 tff(18382,plain,
% 49.36/32.44 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB129)) | (~v216(constB129, bitIndex2))),
% 49.36/32.44 inference(modus_ponens,[status(thm)],[18381, 18380])).
% 49.36/32.44 tff(18383,plain,
% 49.36/32.44 (~v216(constB129, bitIndex2)),
% 49.36/32.44 inference(unit_resolution,[status(thm)],[18382, 11237, 18379])).
% 49.36/32.44 tff(18384,plain,
% 49.36/32.44 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB129, bitIndex2) | v254(constB129) | (~v215(constB129)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB129, bitIndex2) | v254(constB129) | (~v215(constB129)))),
% 49.36/32.44 inference(rewrite,[status(thm)],[])).
% 49.36/32.44 tff(18385,plain,
% 49.36/32.44 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB129, bitIndex2) | v254(constB129) | (~v215(constB129)))),
% 49.36/32.44 inference(quant_inst,[status(thm)],[])).
% 49.36/32.44 tff(18386,plain,
% 49.36/32.44 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB129, bitIndex2) | v254(constB129) | (~v215(constB129))),
% 49.36/32.44 inference(modus_ponens,[status(thm)],[18385, 18384])).
% 49.36/32.44 tff(18387,plain,
% 49.36/32.44 (v254(constB129) | (~v215(constB129))),
% 49.36/32.44 inference(unit_resolution,[status(thm)],[18386, 11278, 18383])).
% 49.36/32.44 tff(18388,plain,
% 49.36/32.44 (~v215(constB129)),
% 49.36/32.44 inference(unit_resolution,[status(thm)],[18387, 18363])).
% 49.36/32.44 tff(18389,plain,
% 49.36/32.44 ($false),
% 49.36/32.44 inference(unit_resolution,[status(thm)],[18388, 11707])).
% 49.36/32.44 tff(18390,plain,(~(constB129 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 49.36/32.44 tff(18391,assumption,(constB187 = sK0_VarCurr), introduced(assumption)).
% 49.36/32.44 tff(18392,plain,
% 49.36/32.44 (v215(constB187) <=> v215(sK0_VarCurr)),
% 49.36/32.44 inference(monotonicity,[status(thm)],[18391])).
% 49.36/32.44 tff(18393,plain,
% 49.36/32.44 (v215(sK0_VarCurr) <=> v215(constB187)),
% 49.36/32.44 inference(symmetry,[status(thm)],[18392])).
% 49.36/32.44 tff(18394,plain,
% 49.36/32.44 (v215(constB187)),
% 49.36/32.44 inference(modus_ponens,[status(thm)],[11268, 18393])).
% 49.36/32.44 tff(18395,assumption,(v26(constB183)), introduced(assumption)).
% 49.36/32.44 tff(18396,plain,
% 49.36/32.44 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB183))),
% 49.36/32.44 inference(quant_inst,[status(thm)],[])).
% 49.36/32.44 tff(18397,plain,
% 49.36/32.44 ($false),
% 49.36/32.44 inference(unit_resolution,[status(thm)],[18396, 16, 18395])).
% 49.36/32.44 tff(18398,plain,(~v26(constB183)), inference(lemma,lemma(discharge,[]))).
% 49.36/32.44 tff(18399,plain,
% 49.36/32.44 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB129, bitIndex0) | (~v90(constB129, bitIndex1)) | v90(constB129, bitIndex2) | v121(constB129))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB129, bitIndex0) | (~v90(constB129, bitIndex1)) | v90(constB129, bitIndex2) | v121(constB129))),
% 49.36/32.44 inference(rewrite,[status(thm)],[])).
% 49.36/32.44 tff(18400,plain,
% 49.36/32.44 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB129, bitIndex0) | (~v90(constB129, bitIndex1)) | v90(constB129, bitIndex2) | v121(constB129))),
% 49.36/32.44 inference(quant_inst,[status(thm)],[])).
% 49.36/32.44 tff(18401,plain,
% 49.36/32.44 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB129, bitIndex0) | (~v90(constB129, bitIndex1)) | v90(constB129, bitIndex2) | v121(constB129)),
% 49.36/32.44 inference(modus_ponens,[status(thm)],[18400, 18399])).
% 49.36/32.44 tff(18402,plain,
% 49.36/32.44 (v121(constB129)),
% 49.36/32.44 inference(unit_resolution,[status(thm)],[18401, 1551, 18205, 18240, 18167])).
% 49.36/32.44 tff(18403,plain,
% 49.36/32.44 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB129) | (~v121(constB129)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB129) | (~v121(constB129)))),
% 49.36/32.44 inference(rewrite,[status(thm)],[])).
% 49.36/32.44 tff(18404,plain,
% 49.36/32.44 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB129) | (~v121(constB129)))),
% 49.36/32.44 inference(quant_inst,[status(thm)],[])).
% 49.36/32.44 tff(18405,plain,
% 49.36/32.44 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB129) | (~v121(constB129))),
% 49.36/32.44 inference(modus_ponens,[status(thm)],[18404, 18403])).
% 49.36/32.44 tff(18406,plain,
% 49.36/32.44 (v117(constB129)),
% 49.36/32.44 inference(unit_resolution,[status(thm)],[18405, 1562, 18402])).
% 49.36/32.44 tff(18407,plain,
% 49.36/32.44 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB129) | (~v117(constB129)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB129) | (~v117(constB129)))),
% 49.36/32.44 inference(rewrite,[status(thm)],[])).
% 49.36/32.44 tff(18408,plain,
% 49.36/32.44 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB129) | (~v117(constB129)))),
% 49.36/32.44 inference(quant_inst,[status(thm)],[])).
% 49.36/32.44 tff(18409,plain,
% 49.36/32.44 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB129) | (~v117(constB129))),
% 49.36/32.44 inference(modus_ponens,[status(thm)],[18408, 18407])).
% 49.36/32.44 tff(18410,plain,
% 49.36/32.44 (v116(constB129)),
% 49.36/32.44 inference(unit_resolution,[status(thm)],[18409, 177, 18406])).
% 49.36/32.44 tff(18411,plain,
% 49.36/32.44 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB129) | (~v116(constB129)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB129) | (~v116(constB129)))),
% 49.36/32.44 inference(rewrite,[status(thm)],[])).
% 49.36/32.44 tff(18412,plain,
% 49.36/32.44 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB129) | (~v116(constB129)))),
% 49.36/32.44 inference(quant_inst,[status(thm)],[])).
% 49.36/32.44 tff(18413,plain,
% 49.36/32.44 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB129) | (~v116(constB129))),
% 49.36/32.44 inference(modus_ponens,[status(thm)],[18412, 18411])).
% 49.36/32.44 tff(18414,plain,
% 49.36/32.44 (v115(constB129)),
% 49.36/32.44 inference(unit_resolution,[status(thm)],[18413, 188, 18410])).
% 49.36/32.44 tff(18415,plain,
% 49.36/32.44 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB129) | (~v115(constB129)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB129) | (~v115(constB129)))),
% 49.36/32.44 inference(rewrite,[status(thm)],[])).
% 49.36/32.44 tff(18416,plain,
% 49.36/32.44 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB129) | (~v115(constB129)))),
% 49.36/32.44 inference(quant_inst,[status(thm)],[])).
% 49.36/32.44 tff(18417,plain,
% 49.36/32.44 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB129) | (~v115(constB129))),
% 49.36/32.44 inference(modus_ponens,[status(thm)],[18416, 18415])).
% 49.36/32.44 tff(18418,plain,
% 49.36/32.44 (v114(constB129)),
% 49.36/32.44 inference(unit_resolution,[status(thm)],[18417, 199, 18414])).
% 49.36/32.44 tff(18419,plain,
% 49.36/32.44 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB129) | (~v114(constB129)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB129) | (~v114(constB129)))),
% 49.36/32.44 inference(rewrite,[status(thm)],[])).
% 49.36/32.44 tff(18420,plain,
% 49.36/32.44 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB129) | (~v114(constB129)))),
% 49.36/32.44 inference(quant_inst,[status(thm)],[])).
% 49.36/32.44 tff(18421,plain,
% 49.36/32.44 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB129) | (~v114(constB129))),
% 49.36/32.44 inference(modus_ponens,[status(thm)],[18420, 18419])).
% 49.36/32.44 tff(18422,plain,
% 49.36/32.44 (v113(constB129)),
% 49.36/32.44 inference(unit_resolution,[status(thm)],[18421, 210, 18418])).
% 49.36/32.44 tff(18423,assumption,(~v108(constB129)), introduced(assumption)).
% 49.36/32.44 tff(18424,plain,
% 49.36/32.44 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB129) | (~v112(constB129)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB129) | (~v112(constB129)))),
% 49.36/32.44 inference(rewrite,[status(thm)],[])).
% 49.36/32.44 tff(18425,plain,
% 49.36/32.44 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB129) | (~v112(constB129)))),
% 49.36/32.44 inference(quant_inst,[status(thm)],[])).
% 49.36/32.44 tff(18426,plain,
% 49.36/32.44 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB129) | (~v112(constB129))),
% 49.36/32.44 inference(modus_ponens,[status(thm)],[18425, 18424])).
% 49.36/32.44 tff(18427,plain,
% 49.36/32.44 (~v112(constB129)),
% 49.36/32.44 inference(unit_resolution,[status(thm)],[18426, 236, 18423])).
% 49.36/32.44 tff(18428,plain,
% 49.36/32.44 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB129) | (~v26(constB129)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB129) | (~v26(constB129)))),
% 49.36/32.44 inference(rewrite,[status(thm)],[])).
% 49.36/32.44 tff(18429,plain,
% 49.36/32.44 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB129) | (~v26(constB129)))),
% 49.36/32.44 inference(quant_inst,[status(thm)],[])).
% 49.36/32.44 tff(18430,plain,
% 49.36/32.44 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB129) | (~v26(constB129))),
% 49.36/32.44 inference(modus_ponens,[status(thm)],[18429, 18428])).
% 49.36/32.44 tff(18431,plain,
% 49.36/32.44 (~v26(constB129)),
% 49.36/32.44 inference(unit_resolution,[status(thm)],[18430, 961, 18423])).
% 49.36/32.44 tff(18432,assumption,(v113(constB129)), introduced(assumption)).
% 49.36/32.44 tff(18433,plain,
% 49.36/32.44 (((~![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))),
% 49.36/32.44 inference(rewrite,[status(thm)],[])).
% 49.36/32.44 tff(18434,plain,
% 49.36/32.44 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB129) | (~v113(constB129)) | v112(constB129))),
% 49.36/32.44 inference(quant_inst,[status(thm)],[])).
% 49.36/32.44 tff(18435,plain,
% 49.36/32.44 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB129) | (~v113(constB129)) | v112(constB129)),
% 49.36/32.44 inference(modus_ponens,[status(thm)],[18434, 18433])).
% 49.36/32.44 tff(18436,plain,
% 49.36/32.44 (v26(constB129) | v112(constB129)),
% 49.36/32.44 inference(unit_resolution,[status(thm)],[18435, 224, 18432])).
% 49.36/32.44 tff(18437,plain,
% 49.36/32.44 ($false),
% 49.36/32.44 inference(unit_resolution,[status(thm)],[18436, 18431, 18427])).
% 49.36/32.44 tff(18438,plain,(v108(constB129) | (~v113(constB129))), inference(lemma,lemma(discharge,[]))).
% 49.36/32.44 tff(18439,plain,
% 49.36/32.44 (v108(constB129)),
% 49.36/32.44 inference(unit_resolution,[status(thm)],[18438, 18422])).
% 49.36/32.44 tff(18440,plain,
% 49.36/32.44 (nextState(constB129, constB130) <=> nextState(constB129, constB130)),
% 49.36/32.44 inference(rewrite,[status(thm)],[])).
% 49.36/32.44 tff(18441,axiom,(nextState(constB129, constB130)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_129_1')).
% 49.36/32.44 tff(18442,plain,
% 49.36/32.44 (nextState(constB129, constB130)),
% 49.36/32.44 inference(modus_ponens,[status(thm)],[18441, 18440])).
% 49.36/32.44 tff(18443,plain,
% 49.36/32.44 (((~![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)))),
% 49.36/32.44 inference(rewrite,[status(thm)],[])).
% 49.36/32.44 tff(18444,plain,
% 49.36/32.44 (((~nextState(constB129, constB130)) | (~v108(constB129)) | v110(constB130)) <=> ((~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129)))),
% 49.36/32.44 inference(rewrite,[status(thm)],[])).
% 49.36/32.44 tff(18445,plain,
% 49.36/32.44 (((~![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))))),
% 49.36/32.44 inference(monotonicity,[status(thm)],[18444])).
% 49.36/32.44 tff(18446,plain,
% 49.36/32.44 (((~![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)))),
% 49.36/32.44 inference(transitivity,[status(thm)],[18445, 18443])).
% 49.36/32.44 tff(18447,plain,
% 49.36/32.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB129, constB130)) | (~v108(constB129)) | v110(constB130))),
% 49.36/32.44 inference(quant_inst,[status(thm)],[])).
% 49.36/32.44 tff(18448,plain,
% 49.36/32.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129))),
% 49.36/32.44 inference(modus_ponens,[status(thm)],[18447, 18446])).
% 49.36/32.44 tff(18449,plain,
% 49.36/32.44 (v110(constB130) | (~v108(constB129))),
% 49.36/32.44 inference(unit_resolution,[status(thm)],[18448, 253, 18442])).
% 49.36/32.44 tff(18450,plain,
% 49.36/32.44 (v110(constB130)),
% 49.36/32.44 inference(unit_resolution,[status(thm)],[18449, 18439])).
% 49.36/32.44 tff(18451,plain,
% 49.36/32.44 (((~![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)))),
% 49.36/32.44 inference(rewrite,[status(thm)],[])).
% 49.36/32.44 tff(18452,plain,
% 49.36/32.44 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB129) | (~nextState(constB129, constB130)) | (~v104(constB130)))),
% 49.36/32.44 inference(quant_inst,[status(thm)],[])).
% 49.36/32.44 tff(18453,plain,
% 49.36/32.44 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB129) | (~nextState(constB129, constB130)) | (~v104(constB130))),
% 49.36/32.44 inference(modus_ponens,[status(thm)],[18452, 18451])).
% 49.36/32.44 tff(18454,plain,
% 49.36/32.44 (~v104(constB130)),
% 49.36/32.44 inference(unit_resolution,[status(thm)],[18453, 271, 18442, 18143])).
% 49.36/32.44 tff(18455,plain,
% 49.36/32.44 (((~![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))),
% 49.36/32.44 inference(rewrite,[status(thm)],[])).
% 49.36/32.44 tff(18456,plain,
% 49.36/32.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB129, constB130)) | v102(constB130) | v104(constB130))),
% 49.36/32.44 inference(quant_inst,[status(thm)],[])).
% 49.36/32.44 tff(18457,plain,
% 49.36/32.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB129, constB130)) | v102(constB130) | v104(constB130)),
% 49.36/32.44 inference(modus_ponens,[status(thm)],[18456, 18455])).
% 49.36/32.44 tff(18458,plain,
% 49.36/32.44 (v102(constB130) | v104(constB130)),
% 49.36/32.44 inference(unit_resolution,[status(thm)],[18457, 285, 18442])).
% 49.36/32.44 tff(18459,plain,
% 49.36/32.44 (v102(constB130)),
% 49.36/32.44 inference(unit_resolution,[status(thm)],[18458, 18454])).
% 49.36/32.44 tff(18460,plain,
% 49.36/32.44 (v1(constB130) <=> v1(constB130)),
% 49.36/32.44 inference(rewrite,[status(thm)],[])).
% 49.36/32.44 tff(18461,axiom,(v1(constB130)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_130_1')).
% 49.36/32.44 tff(18462,plain,
% 49.36/32.44 (v1(constB130)),
% 49.36/32.44 inference(modus_ponens,[status(thm)],[18461, 18460])).
% 49.36/32.44 tff(18463,plain,
% 49.36/32.44 (((~![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)))),
% 49.36/32.44 inference(rewrite,[status(thm)],[])).
% 49.36/32.44 tff(18464,plain,
% 49.36/32.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB129, constB130)) | v101(constB130) | (~v102(constB130)) | (~v1(constB130)))),
% 49.36/32.44 inference(quant_inst,[status(thm)],[])).
% 49.36/32.44 tff(18465,plain,
% 49.36/32.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB129, constB130)) | v101(constB130) | (~v102(constB130)) | (~v1(constB130))),
% 49.36/32.44 inference(modus_ponens,[status(thm)],[18464, 18463])).
% 49.36/32.44 tff(18466,plain,
% 49.36/32.44 (v101(constB130) | (~v102(constB130))),
% 49.36/32.44 inference(unit_resolution,[status(thm)],[18465, 303, 18442, 18462])).
% 49.36/32.44 tff(18467,plain,
% 49.36/32.44 (v101(constB130)),
% 49.36/32.44 inference(unit_resolution,[status(thm)],[18466, 18459])).
% 49.36/32.44 tff(18468,plain,
% 49.36/32.44 (((~![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)))),
% 49.36/32.44 inference(rewrite,[status(thm)],[])).
% 49.36/32.44 tff(18469,plain,
% 49.36/32.44 (((~nextState(constB129, constB130)) | (~v101(constB130)) | (~v110(constB130)) | v100(constB130)) <=> ((~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130)))),
% 49.36/32.44 inference(rewrite,[status(thm)],[])).
% 49.36/32.44 tff(18470,plain,
% 49.36/32.44 (((~![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))))),
% 49.36/32.44 inference(monotonicity,[status(thm)],[18469])).
% 49.36/32.44 tff(18471,plain,
% 49.36/32.44 (((~![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)))),
% 49.36/32.44 inference(transitivity,[status(thm)],[18470, 18468])).
% 49.36/32.44 tff(18472,plain,
% 49.36/32.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB129, constB130)) | (~v101(constB130)) | (~v110(constB130)) | v100(constB130))),
% 49.36/32.44 inference(quant_inst,[status(thm)],[])).
% 49.36/32.44 tff(18473,plain,
% 49.36/32.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130))),
% 49.36/32.44 inference(modus_ponens,[status(thm)],[18472, 18471])).
% 49.36/32.44 tff(18474,plain,
% 49.36/32.44 (v100(constB130) | (~v101(constB130)) | (~v110(constB130))),
% 49.36/32.44 inference(unit_resolution,[status(thm)],[18473, 318, 18442])).
% 49.36/32.44 tff(18475,plain,
% 49.36/32.44 (v100(constB130) | (~v110(constB130))),
% 49.36/32.44 inference(unit_resolution,[status(thm)],[18474, 18467])).
% 49.36/32.44 tff(18476,plain,
% 49.36/32.44 (v100(constB130)),
% 49.36/32.44 inference(unit_resolution,[status(thm)],[18475, 18450])).
% 49.36/32.44 tff(18477,plain,
% 49.36/32.44 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB129)) | (~v130(constB129, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB129)) | (~v130(constB129, bitIndex2)))),
% 49.36/32.44 inference(rewrite,[status(thm)],[])).
% 49.36/32.44 tff(18478,plain,
% 49.36/32.44 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB129)) | (~v130(constB129, bitIndex2)))),
% 49.36/32.44 inference(quant_inst,[status(thm)],[])).
% 49.36/32.44 tff(18479,plain,
% 49.36/32.44 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB129)) | (~v130(constB129, bitIndex2))),
% 49.36/32.44 inference(modus_ponens,[status(thm)],[18478, 18477])).
% 49.36/32.44 tff(18480,plain,
% 49.36/32.44 (~v130(constB129, bitIndex2)),
% 49.36/32.44 inference(unit_resolution,[status(thm)],[18479, 1645, 18402])).
% 49.36/32.44 tff(18481,assumption,(v26(constB129)), introduced(assumption)).
% 49.36/32.44 tff(18482,plain,
% 49.36/32.44 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB129))),
% 49.36/32.44 inference(quant_inst,[status(thm)],[])).
% 49.36/32.44 tff(18483,plain,
% 49.36/32.44 ($false),
% 49.36/32.44 inference(unit_resolution,[status(thm)],[18482, 16, 18481])).
% 49.36/32.44 tff(18484,plain,(~v26(constB129)), inference(lemma,lemma(discharge,[]))).
% 49.36/32.44 tff(18485,plain,
% 49.36/32.44 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB129, bitIndex2)) | v26(constB129) | v130(constB129, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB129, bitIndex2)) | v26(constB129) | v130(constB129, bitIndex2))),
% 49.36/32.45 inference(rewrite,[status(thm)],[])).
% 49.36/32.45 tff(18486,plain,
% 49.36/32.45 ((v26(constB129) | v130(constB129, bitIndex2) | (~v127(constB129, bitIndex2))) <=> ((~v127(constB129, bitIndex2)) | v26(constB129) | v130(constB129, bitIndex2))),
% 49.36/32.45 inference(rewrite,[status(thm)],[])).
% 49.36/32.45 tff(18487,plain,
% 49.36/32.45 (((~![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)))) | ((~v127(constB129, bitIndex2)) | v26(constB129) | v130(constB129, bitIndex2)))),
% 49.36/32.45 inference(monotonicity,[status(thm)],[18486])).
% 49.36/32.45 tff(18488,plain,
% 49.36/32.45 (((~![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)))) | (~v127(constB129, bitIndex2)) | v26(constB129) | v130(constB129, bitIndex2))),
% 49.36/32.45 inference(transitivity,[status(thm)],[18487, 18485])).
% 49.36/32.45 tff(18489,plain,
% 49.36/32.45 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB129) | v130(constB129, bitIndex2) | (~v127(constB129, bitIndex2)))),
% 49.36/32.45 inference(quant_inst,[status(thm)],[])).
% 49.36/32.45 tff(18490,plain,
% 49.36/32.45 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB129, bitIndex2)) | v26(constB129) | v130(constB129, bitIndex2)),
% 49.36/32.45 inference(modus_ponens,[status(thm)],[18489, 18488])).
% 49.36/32.45 tff(18491,plain,
% 49.36/32.45 ((~v127(constB129, bitIndex2)) | v130(constB129, bitIndex2)),
% 49.36/32.45 inference(unit_resolution,[status(thm)],[18490, 1210, 18484])).
% 49.36/32.45 tff(18492,plain,
% 49.36/32.45 (~v127(constB129, bitIndex2)),
% 49.36/32.45 inference(unit_resolution,[status(thm)],[18491, 18480])).
% 49.36/32.45 tff(18493,plain,
% 49.36/32.45 (((~![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)))),
% 49.36/32.45 inference(rewrite,[status(thm)],[])).
% 49.36/32.45 tff(18494,plain,
% 49.36/32.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB129, constB130)) | v127(constB129, bitIndex2) | (~v129(constB130, bitIndex2)))),
% 49.36/32.45 inference(quant_inst,[status(thm)],[])).
% 49.36/32.45 tff(18495,plain,
% 49.36/32.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB129, constB130)) | v127(constB129, bitIndex2) | (~v129(constB130, bitIndex2))),
% 49.36/32.45 inference(modus_ponens,[status(thm)],[18494, 18493])).
% 49.36/32.45 tff(18496,plain,
% 49.36/32.45 (v127(constB129, bitIndex2) | (~v129(constB130, bitIndex2))),
% 49.36/32.45 inference(unit_resolution,[status(thm)],[18495, 1243, 18442])).
% 49.36/32.45 tff(18497,plain,
% 49.36/32.45 (~v129(constB130, bitIndex2)),
% 49.36/32.45 inference(unit_resolution,[status(thm)],[18496, 18492])).
% 49.36/32.45 tff(18498,plain,
% 49.36/32.45 (((~![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)))),
% 49.36/32.45 inference(rewrite,[status(thm)],[])).
% 49.36/32.45 tff(18499,plain,
% 49.36/32.45 (((~v90(constB130, bitIndex2)) | (~v100(constB130)) | v129(constB130, bitIndex2)) <=> ((~v90(constB130, bitIndex2)) | v129(constB130, bitIndex2) | (~v100(constB130)))),
% 49.36/32.45 inference(rewrite,[status(thm)],[])).
% 49.36/32.45 tff(18500,plain,
% 49.36/32.45 (((~![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))))),
% 49.36/32.45 inference(monotonicity,[status(thm)],[18499])).
% 49.36/32.45 tff(18501,plain,
% 49.36/32.45 (((~![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)))),
% 49.36/32.45 inference(transitivity,[status(thm)],[18500, 18498])).
% 49.36/32.45 tff(18502,plain,
% 49.36/32.45 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB130, bitIndex2)) | (~v100(constB130)) | v129(constB130, bitIndex2))),
% 49.36/32.45 inference(quant_inst,[status(thm)],[])).
% 49.36/32.45 tff(18503,plain,
% 49.36/32.45 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB130, bitIndex2)) | v129(constB130, bitIndex2) | (~v100(constB130))),
% 49.36/32.45 inference(modus_ponens,[status(thm)],[18502, 18501])).
% 49.36/32.45 tff(18504,plain,
% 49.36/32.45 ((~v90(constB130, bitIndex2)) | (~v100(constB130))),
% 49.36/32.45 inference(unit_resolution,[status(thm)],[18503, 1258, 18497])).
% 49.36/32.45 tff(18505,plain,
% 49.36/32.45 (~v90(constB130, bitIndex2)),
% 49.36/32.45 inference(unit_resolution,[status(thm)],[18504, 18476])).
% 49.36/32.45 tff(18506,plain,
% 49.36/32.45 ((~v1(constB131)) <=> (~v1(constB131))),
% 49.36/32.45 inference(rewrite,[status(thm)],[])).
% 49.36/32.45 tff(18507,axiom,(~v1(constB131)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_131_1_1')).
% 49.36/32.45 tff(18508,plain,
% 49.36/32.45 (~v1(constB131)),
% 49.36/32.45 inference(modus_ponens,[status(thm)],[18507, 18506])).
% 49.36/32.45 tff(18509,plain,
% 49.36/32.45 (nextState(constB130, constB131) <=> nextState(constB130, constB131)),
% 49.36/32.45 inference(rewrite,[status(thm)],[])).
% 49.36/32.45 tff(18510,axiom,(nextState(constB130, constB131)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_130_1')).
% 49.36/32.45 tff(18511,plain,
% 49.36/32.45 (nextState(constB130, constB131)),
% 49.36/32.45 inference(modus_ponens,[status(thm)],[18510, 18509])).
% 49.36/32.45 tff(18512,plain,
% 49.36/32.45 (((~![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)))),
% 49.36/32.45 inference(rewrite,[status(thm)],[])).
% 49.36/32.45 tff(18513,plain,
% 49.36/32.45 (((~nextState(constB130, constB131)) | (~v101(constB131)) | v1(constB131)) <=> (v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131)))),
% 49.36/32.45 inference(rewrite,[status(thm)],[])).
% 49.36/32.45 tff(18514,plain,
% 49.36/32.45 (((~![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))))),
% 49.36/32.45 inference(monotonicity,[status(thm)],[18513])).
% 49.36/32.45 tff(18515,plain,
% 49.36/32.45 (((~![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)))),
% 49.36/32.45 inference(transitivity,[status(thm)],[18514, 18512])).
% 49.36/32.45 tff(18516,plain,
% 49.36/32.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB130, constB131)) | (~v101(constB131)) | v1(constB131))),
% 49.36/32.45 inference(quant_inst,[status(thm)],[])).
% 49.36/32.45 tff(18517,plain,
% 49.36/32.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131))),
% 49.36/32.45 inference(modus_ponens,[status(thm)],[18516, 18515])).
% 49.36/32.45 tff(18518,plain,
% 49.36/32.45 (~v101(constB131)),
% 49.36/32.45 inference(unit_resolution,[status(thm)],[18517, 49, 18511, 18508])).
% 49.36/32.45 tff(18519,plain,
% 49.36/32.45 (((~![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)))),
% 49.36/32.45 inference(rewrite,[status(thm)],[])).
% 49.36/32.45 tff(18520,plain,
% 49.36/32.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB130, constB131)) | v101(constB131) | (~v100(constB131)))),
% 49.36/32.45 inference(quant_inst,[status(thm)],[])).
% 49.36/32.45 tff(18521,plain,
% 49.36/32.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB130, constB131)) | v101(constB131) | (~v100(constB131))),
% 49.36/32.45 inference(modus_ponens,[status(thm)],[18520, 18519])).
% 49.36/32.45 tff(18522,plain,
% 49.36/32.45 (v101(constB131) | (~v100(constB131))),
% 49.36/32.45 inference(unit_resolution,[status(thm)],[18521, 66, 18511])).
% 49.36/32.45 tff(18523,plain,
% 49.36/32.45 (~v100(constB131)),
% 49.36/32.45 inference(unit_resolution,[status(thm)],[18522, 18518])).
% 49.36/32.45 tff(18524,plain,
% 49.36/32.45 (((~![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)))),
% 49.36/32.45 inference(rewrite,[status(thm)],[])).
% 49.36/32.45 tff(18525,plain,
% 49.36/32.45 (((~nextState(constB130, constB131)) | v90(constB130, bitIndex2) | v100(constB131) | (~v90(constB131, bitIndex2))) <=> (v90(constB130, bitIndex2) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, bitIndex2)))),
% 49.36/32.45 inference(rewrite,[status(thm)],[])).
% 49.36/32.45 tff(18526,plain,
% 49.36/32.45 (((~![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))))),
% 49.36/32.45 inference(monotonicity,[status(thm)],[18525])).
% 49.36/32.45 tff(18527,plain,
% 49.36/32.45 (((~![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)))),
% 49.36/32.45 inference(transitivity,[status(thm)],[18526, 18524])).
% 49.36/32.45 tff(18528,plain,
% 49.36/32.45 ((~![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)))),
% 49.36/32.45 inference(quant_inst,[status(thm)],[])).
% 49.36/32.45 tff(18529,plain,
% 49.36/32.45 ((~![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))),
% 49.36/32.45 inference(modus_ponens,[status(thm)],[18528, 18527])).
% 49.36/32.45 tff(18530,plain,
% 49.36/32.45 (v90(constB130, bitIndex2) | v100(constB131) | (~v90(constB131, bitIndex2))),
% 49.36/32.45 inference(unit_resolution,[status(thm)],[18529, 81, 18511])).
% 49.36/32.45 tff(18531,plain,
% 49.36/32.45 (v90(constB130, bitIndex2) | (~v90(constB131, bitIndex2))),
% 49.36/32.45 inference(unit_resolution,[status(thm)],[18530, 18523])).
% 49.36/32.45 tff(18532,plain,
% 49.36/32.45 (~v90(constB131, bitIndex2)),
% 49.36/32.45 inference(unit_resolution,[status(thm)],[18531, 18505])).
% 49.36/32.45 tff(18533,plain,
% 49.36/32.45 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB129)) | v130(constB129, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB129)) | v130(constB129, bitIndex1))),
% 49.36/32.45 inference(rewrite,[status(thm)],[])).
% 49.36/32.45 tff(18534,plain,
% 49.36/32.45 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB129)) | v130(constB129, bitIndex1))),
% 49.36/32.45 inference(quant_inst,[status(thm)],[])).
% 49.36/32.45 tff(18535,plain,
% 49.36/32.45 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB129)) | v130(constB129, bitIndex1)),
% 49.36/32.45 inference(modus_ponens,[status(thm)],[18534, 18533])).
% 49.36/32.45 tff(18536,plain,
% 49.36/32.45 (v130(constB129, bitIndex1)),
% 49.36/32.45 inference(unit_resolution,[status(thm)],[18535, 1707, 18402])).
% 49.36/32.45 tff(18537,plain,
% 49.36/32.45 (((~![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))) | v26(constB129) | (~v130(constB129, bitIndex1)) | v127(constB129, bitIndex1))),
% 49.36/32.45 inference(rewrite,[status(thm)],[])).
% 49.36/32.45 tff(18538,plain,
% 49.36/32.45 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB129) | (~v130(constB129, bitIndex1)) | v127(constB129, bitIndex1))),
% 49.36/32.45 inference(quant_inst,[status(thm)],[])).
% 49.36/32.45 tff(18539,plain,
% 49.36/32.45 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB129) | (~v130(constB129, bitIndex1)) | v127(constB129, bitIndex1)),
% 49.36/32.45 inference(modus_ponens,[status(thm)],[18538, 18537])).
% 49.36/32.45 tff(18540,plain,
% 49.36/32.45 ((~v130(constB129, bitIndex1)) | v127(constB129, bitIndex1)),
% 49.36/32.45 inference(unit_resolution,[status(thm)],[18539, 681, 18484])).
% 49.36/32.45 tff(18541,plain,
% 49.36/32.45 (v127(constB129, bitIndex1)),
% 49.36/32.45 inference(unit_resolution,[status(thm)],[18540, 18536])).
% 49.36/32.45 tff(18542,plain,
% 49.36/32.45 (((~![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))),
% 49.36/32.45 inference(rewrite,[status(thm)],[])).
% 49.36/32.45 tff(18543,plain,
% 49.36/32.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB129, constB130)) | (~v127(constB129, bitIndex1)) | v129(constB130, bitIndex1))),
% 49.36/32.45 inference(quant_inst,[status(thm)],[])).
% 49.36/32.45 tff(18544,plain,
% 49.36/32.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB129, constB130)) | (~v127(constB129, bitIndex1)) | v129(constB130, bitIndex1)),
% 49.36/32.45 inference(modus_ponens,[status(thm)],[18543, 18542])).
% 49.36/32.45 tff(18545,plain,
% 49.36/32.45 ((~v127(constB129, bitIndex1)) | v129(constB130, bitIndex1)),
% 49.36/32.45 inference(unit_resolution,[status(thm)],[18544, 696, 18442])).
% 49.36/32.45 tff(18546,plain,
% 49.36/32.45 (v129(constB130, bitIndex1)),
% 49.36/32.45 inference(unit_resolution,[status(thm)],[18545, 18541])).
% 49.36/32.45 tff(18547,plain,
% 49.36/32.45 (((~![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)))),
% 49.36/32.45 inference(rewrite,[status(thm)],[])).
% 49.36/32.45 tff(18548,plain,
% 49.36/32.45 ((v90(constB130, bitIndex1) | (~v100(constB130)) | (~v129(constB130, bitIndex1))) <=> (v90(constB130, bitIndex1) | (~v129(constB130, bitIndex1)) | (~v100(constB130)))),
% 49.36/32.45 inference(rewrite,[status(thm)],[])).
% 49.36/32.45 tff(18549,plain,
% 49.36/32.45 (((~![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))))),
% 49.36/32.45 inference(monotonicity,[status(thm)],[18548])).
% 49.36/32.45 tff(18550,plain,
% 49.36/32.45 (((~![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)))),
% 49.36/32.45 inference(transitivity,[status(thm)],[18549, 18547])).
% 49.36/32.45 tff(18551,plain,
% 49.36/32.45 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB130, bitIndex1) | (~v100(constB130)) | (~v129(constB130, bitIndex1)))),
% 49.36/32.45 inference(quant_inst,[status(thm)],[])).
% 49.36/32.45 tff(18552,plain,
% 49.36/32.45 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB130, bitIndex1) | (~v129(constB130, bitIndex1)) | (~v100(constB130))),
% 49.36/32.45 inference(modus_ponens,[status(thm)],[18551, 18550])).
% 49.36/32.45 tff(18553,plain,
% 49.36/32.45 (v90(constB130, bitIndex1) | (~v100(constB130))),
% 49.36/32.45 inference(unit_resolution,[status(thm)],[18552, 711, 18546])).
% 49.36/32.45 tff(18554,plain,
% 49.36/32.45 (v90(constB130, bitIndex1)),
% 49.36/32.45 inference(unit_resolution,[status(thm)],[18553, 18476])).
% 49.36/32.45 tff(18555,plain,
% 49.36/32.45 (((~![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))),
% 49.36/32.45 inference(rewrite,[status(thm)],[])).
% 49.36/32.45 tff(18556,plain,
% 49.36/32.45 (((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex1)) | v100(constB131) | v90(constB131, bitIndex1)) <=> ((~v90(constB130, bitIndex1)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex1))),
% 49.36/32.45 inference(rewrite,[status(thm)],[])).
% 49.36/32.45 tff(18557,plain,
% 49.36/32.45 (((~![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)))),
% 49.36/32.45 inference(monotonicity,[status(thm)],[18556])).
% 49.36/32.45 tff(18558,plain,
% 49.36/32.45 (((~![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))),
% 49.36/32.45 inference(transitivity,[status(thm)],[18557, 18555])).
% 49.36/32.45 tff(18559,plain,
% 49.36/32.45 ((~![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))),
% 49.36/32.45 inference(quant_inst,[status(thm)],[])).
% 49.36/32.45 tff(18560,plain,
% 49.36/32.45 ((~![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)),
% 49.36/32.45 inference(modus_ponens,[status(thm)],[18559, 18558])).
% 49.36/32.45 tff(18561,plain,
% 49.36/32.45 ((~v90(constB130, bitIndex1)) | v100(constB131) | v90(constB131, bitIndex1)),
% 49.36/32.45 inference(unit_resolution,[status(thm)],[18560, 747, 18511])).
% 49.36/32.45 tff(18562,plain,
% 49.36/32.45 ((~v90(constB130, bitIndex1)) | v90(constB131, bitIndex1)),
% 49.36/32.45 inference(unit_resolution,[status(thm)],[18561, 18523])).
% 49.36/32.45 tff(18563,plain,
% 49.36/32.45 (v90(constB131, bitIndex1)),
% 49.36/32.45 inference(unit_resolution,[status(thm)],[18562, 18554])).
% 49.36/32.45 tff(18564,plain,
% 49.36/32.45 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB129)) | v130(constB129, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB129)) | v130(constB129, bitIndex0))),
% 49.36/32.45 inference(rewrite,[status(thm)],[])).
% 49.36/32.45 tff(18565,plain,
% 49.36/32.45 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB129)) | v130(constB129, bitIndex0))),
% 49.36/32.45 inference(quant_inst,[status(thm)],[])).
% 49.36/32.45 tff(18566,plain,
% 49.36/32.45 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB129)) | v130(constB129, bitIndex0)),
% 49.36/32.45 inference(modus_ponens,[status(thm)],[18565, 18564])).
% 49.36/32.45 tff(18567,plain,
% 49.36/32.45 (v130(constB129, bitIndex0)),
% 49.36/32.45 inference(unit_resolution,[status(thm)],[18566, 1748, 18402])).
% 49.36/32.45 tff(18568,plain,
% 49.36/32.45 (((~![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))),
% 49.36/32.45 inference(rewrite,[status(thm)],[])).
% 49.36/32.45 tff(18569,plain,
% 49.36/32.45 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB129) | (~v130(constB129, bitIndex0)) | v127(constB129, bitIndex0))),
% 49.36/32.45 inference(quant_inst,[status(thm)],[])).
% 49.36/32.45 tff(18570,plain,
% 49.36/32.45 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB129) | (~v130(constB129, bitIndex0)) | v127(constB129, bitIndex0)),
% 49.36/32.45 inference(modus_ponens,[status(thm)],[18569, 18568])).
% 49.36/32.45 tff(18571,plain,
% 49.36/32.45 ((~v130(constB129, bitIndex0)) | v127(constB129, bitIndex0)),
% 49.36/32.45 inference(unit_resolution,[status(thm)],[18570, 926, 18484])).
% 49.36/32.45 tff(18572,plain,
% 49.36/32.45 (v127(constB129, bitIndex0)),
% 49.36/32.45 inference(unit_resolution,[status(thm)],[18571, 18567])).
% 49.36/32.45 tff(18573,plain,
% 49.36/32.45 (((~![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))),
% 49.36/32.45 inference(rewrite,[status(thm)],[])).
% 49.36/32.45 tff(18574,plain,
% 49.36/32.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB129, constB130)) | (~v127(constB129, bitIndex0)) | v129(constB130, bitIndex0))),
% 49.36/32.45 inference(quant_inst,[status(thm)],[])).
% 49.36/32.45 tff(18575,plain,
% 49.36/32.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB129, constB130)) | (~v127(constB129, bitIndex0)) | v129(constB130, bitIndex0)),
% 49.36/32.45 inference(modus_ponens,[status(thm)],[18574, 18573])).
% 49.36/32.45 tff(18576,plain,
% 49.36/32.45 ((~v127(constB129, bitIndex0)) | v129(constB130, bitIndex0)),
% 49.36/32.45 inference(unit_resolution,[status(thm)],[18575, 944, 18442])).
% 49.36/32.45 tff(18577,plain,
% 49.36/32.45 (v129(constB130, bitIndex0)),
% 49.36/32.45 inference(unit_resolution,[status(thm)],[18576, 18572])).
% 49.36/32.45 tff(18578,plain,
% 49.36/32.45 (((~![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)))),
% 49.36/32.45 inference(rewrite,[status(thm)],[])).
% 49.36/32.45 tff(18579,plain,
% 49.36/32.45 ((v90(constB130, bitIndex0) | (~v100(constB130)) | (~v129(constB130, bitIndex0))) <=> (v90(constB130, bitIndex0) | (~v129(constB130, bitIndex0)) | (~v100(constB130)))),
% 49.36/32.45 inference(rewrite,[status(thm)],[])).
% 49.36/32.45 tff(18580,plain,
% 49.36/32.45 (((~![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))))),
% 49.36/32.45 inference(monotonicity,[status(thm)],[18579])).
% 49.36/32.45 tff(18581,plain,
% 49.36/32.45 (((~![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)))),
% 49.36/32.45 inference(transitivity,[status(thm)],[18580, 18578])).
% 49.36/32.45 tff(18582,plain,
% 49.36/32.45 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB130, bitIndex0) | (~v100(constB130)) | (~v129(constB130, bitIndex0)))),
% 49.36/32.45 inference(quant_inst,[status(thm)],[])).
% 49.36/32.45 tff(18583,plain,
% 49.36/32.45 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB130, bitIndex0) | (~v129(constB130, bitIndex0)) | (~v100(constB130))),
% 49.36/32.45 inference(modus_ponens,[status(thm)],[18582, 18581])).
% 49.36/32.45 tff(18584,plain,
% 49.36/32.45 (v90(constB130, bitIndex0) | (~v100(constB130))),
% 49.36/32.45 inference(unit_resolution,[status(thm)],[18583, 1088, 18577])).
% 49.36/32.45 tff(18585,plain,
% 49.36/32.45 (v90(constB130, bitIndex0)),
% 49.36/32.45 inference(unit_resolution,[status(thm)],[18584, 18476])).
% 49.36/32.45 tff(18586,plain,
% 49.36/32.45 (((~![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))),
% 49.36/32.45 inference(rewrite,[status(thm)],[])).
% 49.36/32.45 tff(18587,plain,
% 49.36/32.45 (((~nextState(constB130, constB131)) | (~v90(constB130, bitIndex0)) | v100(constB131) | v90(constB131, bitIndex0)) <=> ((~v90(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, bitIndex0))),
% 49.36/32.45 inference(rewrite,[status(thm)],[])).
% 49.36/32.45 tff(18588,plain,
% 49.36/32.45 (((~![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)))),
% 49.36/32.45 inference(monotonicity,[status(thm)],[18587])).
% 49.36/32.45 tff(18589,plain,
% 49.36/32.45 (((~![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))),
% 49.36/32.45 inference(transitivity,[status(thm)],[18588, 18586])).
% 49.36/32.45 tff(18590,plain,
% 49.36/32.45 ((~![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))),
% 49.36/32.45 inference(quant_inst,[status(thm)],[])).
% 49.36/32.45 tff(18591,plain,
% 49.36/32.45 ((~![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)),
% 49.36/32.45 inference(modus_ponens,[status(thm)],[18590, 18589])).
% 49.36/32.45 tff(18592,plain,
% 49.36/32.45 ((~v90(constB130, bitIndex0)) | v100(constB131) | v90(constB131, bitIndex0)),
% 49.36/32.45 inference(unit_resolution,[status(thm)],[18591, 1124, 18511])).
% 49.36/32.45 tff(18593,plain,
% 49.36/32.45 ((~v90(constB130, bitIndex0)) | v90(constB131, bitIndex0)),
% 49.36/32.45 inference(unit_resolution,[status(thm)],[18592, 18523])).
% 49.36/32.45 tff(18594,plain,
% 49.36/32.45 (v90(constB131, bitIndex0)),
% 49.36/32.45 inference(unit_resolution,[status(thm)],[18593, 18585])).
% 49.36/32.45 tff(18595,plain,
% 49.36/32.45 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB131, bitIndex0)) | (~v90(constB131, bitIndex1)) | v90(constB131, bitIndex2) | v122(constB131))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB131, bitIndex0)) | (~v90(constB131, bitIndex1)) | v90(constB131, bitIndex2) | v122(constB131))),
% 49.36/32.45 inference(rewrite,[status(thm)],[])).
% 49.36/32.45 tff(18596,plain,
% 49.36/32.45 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB131, bitIndex0)) | (~v90(constB131, bitIndex1)) | v90(constB131, bitIndex2) | v122(constB131))),
% 49.36/32.45 inference(quant_inst,[status(thm)],[])).
% 49.36/32.45 tff(18597,plain,
% 49.36/32.45 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB131, bitIndex0)) | (~v90(constB131, bitIndex1)) | v90(constB131, bitIndex2) | v122(constB131)),
% 49.36/32.45 inference(modus_ponens,[status(thm)],[18596, 18595])).
% 49.36/32.45 tff(18598,plain,
% 49.36/32.45 (v122(constB131)),
% 49.36/32.45 inference(unit_resolution,[status(thm)],[18597, 1789, 18594, 18563, 18532])).
% 49.36/32.45 tff(18599,plain,
% 49.36/32.45 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB131)) | (~v130(constB131, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB131)) | (~v130(constB131, bitIndex0)))),
% 49.36/32.45 inference(rewrite,[status(thm)],[])).
% 49.36/32.45 tff(18600,plain,
% 49.36/32.45 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB131)) | (~v130(constB131, bitIndex0)))),
% 49.36/32.45 inference(quant_inst,[status(thm)],[])).
% 49.36/32.45 tff(18601,plain,
% 49.36/32.45 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB131)) | (~v130(constB131, bitIndex0))),
% 49.36/32.45 inference(modus_ponens,[status(thm)],[18600, 18599])).
% 49.36/32.45 tff(18602,plain,
% 49.36/32.45 (~v130(constB131, bitIndex0)),
% 49.36/32.45 inference(unit_resolution,[status(thm)],[18601, 1997, 18598])).
% 49.36/32.45 tff(18603,assumption,(v26(constB131)), introduced(assumption)).
% 49.36/32.46 tff(18604,plain,
% 49.36/32.46 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB131))),
% 49.36/32.46 inference(quant_inst,[status(thm)],[])).
% 49.36/32.46 tff(18605,plain,
% 49.36/32.46 ($false),
% 49.36/32.46 inference(unit_resolution,[status(thm)],[18604, 16, 18603])).
% 49.36/32.46 tff(18606,plain,(~v26(constB131)), inference(lemma,lemma(discharge,[]))).
% 49.36/32.46 tff(18607,plain,
% 49.36/32.46 (((~![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))),
% 49.36/32.46 inference(rewrite,[status(thm)],[])).
% 49.36/32.46 tff(18608,plain,
% 49.36/32.46 ((v26(constB131) | v130(constB131, bitIndex0) | (~v127(constB131, bitIndex0))) <=> ((~v127(constB131, bitIndex0)) | v26(constB131) | v130(constB131, bitIndex0))),
% 49.36/32.46 inference(rewrite,[status(thm)],[])).
% 49.36/32.46 tff(18609,plain,
% 49.36/32.46 (((~![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)))),
% 49.36/32.46 inference(monotonicity,[status(thm)],[18608])).
% 49.36/32.46 tff(18610,plain,
% 49.36/32.46 (((~![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))),
% 49.36/32.46 inference(transitivity,[status(thm)],[18609, 18607])).
% 49.36/32.46 tff(18611,plain,
% 49.36/32.46 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB131) | v130(constB131, bitIndex0) | (~v127(constB131, bitIndex0)))),
% 49.36/32.46 inference(quant_inst,[status(thm)],[])).
% 49.36/32.46 tff(18612,plain,
% 49.36/32.46 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB131, bitIndex0)) | v26(constB131) | v130(constB131, bitIndex0)),
% 49.36/32.46 inference(modus_ponens,[status(thm)],[18611, 18610])).
% 49.36/32.46 tff(18613,plain,
% 49.36/32.46 ((~v127(constB131, bitIndex0)) | v130(constB131, bitIndex0)),
% 49.36/32.46 inference(unit_resolution,[status(thm)],[18612, 524, 18606])).
% 49.36/32.46 tff(18614,plain,
% 49.36/32.46 (~v127(constB131, bitIndex0)),
% 49.36/32.46 inference(unit_resolution,[status(thm)],[18613, 18602])).
% 49.36/32.46 tff(18615,plain,
% 49.36/32.46 (nextState(constB131, constB132) <=> nextState(constB131, constB132)),
% 49.36/32.46 inference(rewrite,[status(thm)],[])).
% 49.36/32.46 tff(18616,axiom,(nextState(constB131, constB132)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_131_1')).
% 49.36/32.46 tff(18617,plain,
% 49.36/32.46 (nextState(constB131, constB132)),
% 49.36/32.46 inference(modus_ponens,[status(thm)],[18616, 18615])).
% 49.36/32.46 tff(18618,plain,
% 49.36/32.46 (((~![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)))),
% 49.36/32.46 inference(rewrite,[status(thm)],[])).
% 49.36/32.46 tff(18619,plain,
% 49.36/32.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB131, constB132)) | v127(constB131, bitIndex0) | (~v129(constB132, bitIndex0)))),
% 49.36/32.46 inference(quant_inst,[status(thm)],[])).
% 49.36/32.46 tff(18620,plain,
% 49.36/32.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB131, constB132)) | v127(constB131, bitIndex0) | (~v129(constB132, bitIndex0))),
% 49.36/32.46 inference(modus_ponens,[status(thm)],[18619, 18618])).
% 49.36/32.46 tff(18621,plain,
% 49.36/32.46 (v127(constB131, bitIndex0) | (~v129(constB132, bitIndex0))),
% 49.36/32.46 inference(unit_resolution,[status(thm)],[18620, 542, 18617])).
% 49.36/32.46 tff(18622,plain,
% 49.36/32.46 (~v129(constB132, bitIndex0)),
% 49.36/32.46 inference(unit_resolution,[status(thm)],[18621, 18614])).
% 49.36/32.46 tff(18623,plain,
% 49.36/32.46 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB131)) | v130(constB131, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB131)) | v130(constB131, bitIndex2))),
% 49.36/32.46 inference(rewrite,[status(thm)],[])).
% 49.36/32.46 tff(18624,plain,
% 49.36/32.46 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB131)) | v130(constB131, bitIndex2))),
% 49.36/32.46 inference(quant_inst,[status(thm)],[])).
% 49.36/32.46 tff(18625,plain,
% 49.36/32.46 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB131)) | v130(constB131, bitIndex2)),
% 49.36/32.46 inference(modus_ponens,[status(thm)],[18624, 18623])).
% 49.36/32.46 tff(18626,plain,
% 49.36/32.46 (v130(constB131, bitIndex2)),
% 49.36/32.46 inference(unit_resolution,[status(thm)],[18625, 1876, 18598])).
% 49.36/32.46 tff(18627,assumption,(~v26(constB131)), introduced(assumption)).
% 49.36/32.46 tff(18628,assumption,(v130(constB131, bitIndex2)), introduced(assumption)).
% 49.36/32.46 tff(18629,plain,
% 49.36/32.46 (((~![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))),
% 49.36/32.46 inference(rewrite,[status(thm)],[])).
% 49.36/32.46 tff(18630,plain,
% 49.36/32.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB131) | (~v130(constB131, bitIndex2)) | v127(constB131, bitIndex2))),
% 49.36/32.46 inference(quant_inst,[status(thm)],[])).
% 49.36/32.46 tff(18631,plain,
% 49.36/32.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB131) | (~v130(constB131, bitIndex2)) | v127(constB131, bitIndex2)),
% 49.36/32.46 inference(modus_ponens,[status(thm)],[18630, 18629])).
% 49.36/32.46 tff(18632,plain,
% 49.36/32.46 (v26(constB131) | v127(constB131, bitIndex2)),
% 49.36/32.46 inference(unit_resolution,[status(thm)],[18631, 351, 18628])).
% 49.36/32.46 tff(18633,plain,
% 49.36/32.46 (v127(constB131, bitIndex2)),
% 49.36/32.46 inference(unit_resolution,[status(thm)],[18632, 18627])).
% 49.36/32.46 tff(18634,assumption,(~v90(constB132, bitIndex2)), introduced(assumption)).
% 49.36/32.46 tff(18635,assumption,(~v100(constB132)), introduced(assumption)).
% 49.36/32.46 tff(18636,plain,
% 49.36/32.46 (((~![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)))),
% 49.36/32.46 inference(rewrite,[status(thm)],[])).
% 49.36/32.46 tff(18637,plain,
% 49.36/32.46 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB131) | (~nextState(constB131, constB132)) | (~v104(constB132)))),
% 49.36/32.46 inference(quant_inst,[status(thm)],[])).
% 49.36/32.46 tff(18638,plain,
% 49.36/32.46 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB131) | (~nextState(constB131, constB132)) | (~v104(constB132))),
% 49.36/32.46 inference(modus_ponens,[status(thm)],[18637, 18636])).
% 49.36/32.46 tff(18639,plain,
% 49.36/32.46 (~v104(constB132)),
% 49.36/32.46 inference(unit_resolution,[status(thm)],[18638, 271, 18617, 18508])).
% 49.36/32.46 tff(18640,plain,
% 49.36/32.46 (((~![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))),
% 49.36/32.46 inference(rewrite,[status(thm)],[])).
% 49.36/32.46 tff(18641,plain,
% 49.36/32.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB131, constB132)) | v102(constB132) | v104(constB132))),
% 49.36/32.46 inference(quant_inst,[status(thm)],[])).
% 49.36/32.46 tff(18642,plain,
% 49.36/32.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB131, constB132)) | v102(constB132) | v104(constB132)),
% 49.36/32.46 inference(modus_ponens,[status(thm)],[18641, 18640])).
% 49.36/32.46 tff(18643,plain,
% 49.36/32.46 (v102(constB132) | v104(constB132)),
% 49.36/32.46 inference(unit_resolution,[status(thm)],[18642, 285, 18617])).
% 49.36/32.46 tff(18644,plain,
% 49.36/32.46 (v102(constB132)),
% 49.36/32.46 inference(unit_resolution,[status(thm)],[18643, 18639])).
% 49.36/32.46 tff(18645,plain,
% 49.36/32.46 (v1(constB132) <=> v1(constB132)),
% 49.36/32.46 inference(rewrite,[status(thm)],[])).
% 49.36/32.46 tff(18646,axiom,(v1(constB132)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_132_1')).
% 49.36/32.46 tff(18647,plain,
% 49.36/32.46 (v1(constB132)),
% 49.36/32.46 inference(modus_ponens,[status(thm)],[18646, 18645])).
% 49.36/32.46 tff(18648,plain,
% 49.36/32.46 (((~![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)))),
% 49.36/32.46 inference(rewrite,[status(thm)],[])).
% 49.36/32.46 tff(18649,plain,
% 49.36/32.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB131, constB132)) | v101(constB132) | (~v102(constB132)) | (~v1(constB132)))),
% 49.36/32.46 inference(quant_inst,[status(thm)],[])).
% 49.36/32.46 tff(18650,plain,
% 49.36/32.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB131, constB132)) | v101(constB132) | (~v102(constB132)) | (~v1(constB132))),
% 49.36/32.46 inference(modus_ponens,[status(thm)],[18649, 18648])).
% 49.36/32.46 tff(18651,plain,
% 49.36/32.46 (v101(constB132) | (~v102(constB132))),
% 49.36/32.46 inference(unit_resolution,[status(thm)],[18650, 303, 18617, 18647])).
% 49.36/32.46 tff(18652,plain,
% 49.36/32.46 (v101(constB132)),
% 49.36/32.46 inference(unit_resolution,[status(thm)],[18651, 18644])).
% 49.36/32.46 tff(18653,plain,
% 49.36/32.46 (((~![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)))),
% 49.36/32.46 inference(rewrite,[status(thm)],[])).
% 49.36/32.46 tff(18654,plain,
% 49.36/32.46 (((~nextState(constB131, constB132)) | (~v101(constB132)) | (~v110(constB132)) | v100(constB132)) <=> ((~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132)))),
% 49.36/32.46 inference(rewrite,[status(thm)],[])).
% 49.36/32.46 tff(18655,plain,
% 49.36/32.46 (((~![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))))),
% 49.36/32.46 inference(monotonicity,[status(thm)],[18654])).
% 49.36/32.46 tff(18656,plain,
% 49.36/32.46 (((~![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)))),
% 49.36/32.46 inference(transitivity,[status(thm)],[18655, 18653])).
% 49.36/32.46 tff(18657,plain,
% 49.36/32.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB131, constB132)) | (~v101(constB132)) | (~v110(constB132)) | v100(constB132))),
% 49.36/32.46 inference(quant_inst,[status(thm)],[])).
% 49.36/32.46 tff(18658,plain,
% 49.36/32.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132))),
% 49.36/32.46 inference(modus_ponens,[status(thm)],[18657, 18656])).
% 49.36/32.46 tff(18659,plain,
% 49.36/32.46 (v100(constB132) | (~v101(constB132)) | (~v110(constB132))),
% 49.36/32.46 inference(unit_resolution,[status(thm)],[18658, 318, 18617])).
% 49.36/32.46 tff(18660,plain,
% 49.36/32.46 (v100(constB132) | (~v110(constB132))),
% 49.36/32.46 inference(unit_resolution,[status(thm)],[18659, 18652])).
% 49.36/32.46 tff(18661,plain,
% 49.36/32.46 (~v110(constB132)),
% 49.36/32.46 inference(unit_resolution,[status(thm)],[18660, 18635])).
% 49.36/32.46 tff(18662,plain,
% 49.36/32.46 (((~![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)))),
% 49.36/32.46 inference(rewrite,[status(thm)],[])).
% 49.36/32.46 tff(18663,plain,
% 49.36/32.46 (((~nextState(constB131, constB132)) | (~v108(constB131)) | v110(constB132)) <=> ((~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131)))),
% 49.36/32.46 inference(rewrite,[status(thm)],[])).
% 49.36/32.46 tff(18664,plain,
% 49.36/32.46 (((~![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))))),
% 49.36/32.46 inference(monotonicity,[status(thm)],[18663])).
% 49.36/32.46 tff(18665,plain,
% 49.36/32.46 (((~![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)))),
% 49.36/32.46 inference(transitivity,[status(thm)],[18664, 18662])).
% 49.36/32.46 tff(18666,plain,
% 49.36/32.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB131, constB132)) | (~v108(constB131)) | v110(constB132))),
% 49.36/32.46 inference(quant_inst,[status(thm)],[])).
% 49.36/32.46 tff(18667,plain,
% 49.36/32.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131))),
% 49.36/32.46 inference(modus_ponens,[status(thm)],[18666, 18665])).
% 49.36/32.46 tff(18668,plain,
% 49.36/32.46 (v110(constB132) | (~v108(constB131))),
% 49.36/32.46 inference(unit_resolution,[status(thm)],[18667, 253, 18617])).
% 49.36/32.46 tff(18669,plain,
% 49.36/32.46 (~v108(constB131)),
% 49.36/32.46 inference(unit_resolution,[status(thm)],[18668, 18661])).
% 49.36/32.46 tff(18670,plain,
% 49.36/32.46 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB131) | (~v112(constB131)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB131) | (~v112(constB131)))),
% 49.36/32.46 inference(rewrite,[status(thm)],[])).
% 49.36/32.46 tff(18671,plain,
% 49.36/32.46 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB131) | (~v112(constB131)))),
% 49.36/32.46 inference(quant_inst,[status(thm)],[])).
% 49.36/32.46 tff(18672,plain,
% 49.36/32.46 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB131) | (~v112(constB131))),
% 49.36/32.46 inference(modus_ponens,[status(thm)],[18671, 18670])).
% 49.36/32.46 tff(18673,plain,
% 49.36/32.46 (~v112(constB131)),
% 49.36/32.46 inference(unit_resolution,[status(thm)],[18672, 236, 18669])).
% 49.36/32.46 tff(18674,plain,
% 49.36/32.46 (((~![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)))),
% 49.36/32.46 inference(rewrite,[status(thm)],[])).
% 49.36/32.46 tff(18675,plain,
% 49.36/32.46 ((v26(constB131) | (~v113(constB131)) | v112(constB131)) <=> (v26(constB131) | v112(constB131) | (~v113(constB131)))),
% 49.36/32.46 inference(rewrite,[status(thm)],[])).
% 49.36/32.46 tff(18676,plain,
% 49.36/32.46 (((~![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))))),
% 49.36/32.46 inference(monotonicity,[status(thm)],[18675])).
% 49.36/32.46 tff(18677,plain,
% 49.36/32.46 (((~![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)))),
% 49.36/32.46 inference(transitivity,[status(thm)],[18676, 18674])).
% 49.36/32.46 tff(18678,plain,
% 49.36/32.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB131) | (~v113(constB131)) | v112(constB131))),
% 49.36/32.46 inference(quant_inst,[status(thm)],[])).
% 49.36/32.46 tff(18679,plain,
% 49.36/32.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB131) | v112(constB131) | (~v113(constB131))),
% 49.36/32.46 inference(modus_ponens,[status(thm)],[18678, 18677])).
% 49.36/32.46 tff(18680,plain,
% 49.36/32.46 (v112(constB131) | (~v113(constB131))),
% 49.36/32.46 inference(unit_resolution,[status(thm)],[18679, 224, 18627])).
% 49.36/32.46 tff(18681,plain,
% 49.36/32.46 (~v113(constB131)),
% 49.36/32.46 inference(unit_resolution,[status(thm)],[18680, 18673])).
% 49.36/32.46 tff(18682,plain,
% 49.36/32.46 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB131) | (~v114(constB131)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB131) | (~v114(constB131)))),
% 49.36/32.46 inference(rewrite,[status(thm)],[])).
% 49.36/32.46 tff(18683,plain,
% 49.36/32.46 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB131) | (~v114(constB131)))),
% 49.36/32.46 inference(quant_inst,[status(thm)],[])).
% 49.36/32.46 tff(18684,plain,
% 49.36/32.46 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB131) | (~v114(constB131))),
% 49.36/32.46 inference(modus_ponens,[status(thm)],[18683, 18682])).
% 49.36/32.46 tff(18685,plain,
% 49.36/32.46 (~v114(constB131)),
% 49.36/32.46 inference(unit_resolution,[status(thm)],[18684, 210, 18681])).
% 49.36/32.46 tff(18686,plain,
% 49.36/32.46 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB131) | (~v115(constB131)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB131) | (~v115(constB131)))),
% 49.36/32.46 inference(rewrite,[status(thm)],[])).
% 49.36/32.46 tff(18687,plain,
% 49.36/32.46 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB131) | (~v115(constB131)))),
% 49.36/32.46 inference(quant_inst,[status(thm)],[])).
% 49.36/32.46 tff(18688,plain,
% 49.36/32.46 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB131) | (~v115(constB131))),
% 49.36/32.46 inference(modus_ponens,[status(thm)],[18687, 18686])).
% 49.36/32.46 tff(18689,plain,
% 49.36/32.46 (~v115(constB131)),
% 49.36/32.46 inference(unit_resolution,[status(thm)],[18688, 199, 18685])).
% 49.36/32.46 tff(18690,plain,
% 49.36/32.46 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB131) | (~v116(constB131)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB131) | (~v116(constB131)))),
% 49.36/32.46 inference(rewrite,[status(thm)],[])).
% 49.36/32.46 tff(18691,plain,
% 49.36/32.46 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB131) | (~v116(constB131)))),
% 49.36/32.46 inference(quant_inst,[status(thm)],[])).
% 49.36/32.46 tff(18692,plain,
% 49.36/32.46 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB131) | (~v116(constB131))),
% 49.36/32.46 inference(modus_ponens,[status(thm)],[18691, 18690])).
% 49.36/32.46 tff(18693,plain,
% 49.36/32.46 (~v116(constB131)),
% 49.36/32.46 inference(unit_resolution,[status(thm)],[18692, 188, 18689])).
% 49.36/32.46 tff(18694,plain,
% 49.36/32.46 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB131) | (~v117(constB131)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB131) | (~v117(constB131)))),
% 49.36/32.46 inference(rewrite,[status(thm)],[])).
% 49.36/32.46 tff(18695,plain,
% 49.36/32.46 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB131) | (~v117(constB131)))),
% 49.36/32.46 inference(quant_inst,[status(thm)],[])).
% 49.36/32.46 tff(18696,plain,
% 49.36/32.46 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB131) | (~v117(constB131))),
% 49.36/32.46 inference(modus_ponens,[status(thm)],[18695, 18694])).
% 49.36/32.46 tff(18697,plain,
% 49.36/32.46 (~v117(constB131)),
% 49.36/32.46 inference(unit_resolution,[status(thm)],[18696, 177, 18693])).
% 49.36/32.46 tff(18698,plain,
% 49.36/32.46 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB131) | (~v118(constB131)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB131) | (~v118(constB131)))),
% 49.36/32.46 inference(rewrite,[status(thm)],[])).
% 49.36/32.46 tff(18699,plain,
% 49.36/32.46 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB131) | (~v118(constB131)))),
% 49.36/32.46 inference(quant_inst,[status(thm)],[])).
% 49.36/32.46 tff(18700,plain,
% 49.36/32.46 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB131) | (~v118(constB131))),
% 49.36/32.46 inference(modus_ponens,[status(thm)],[18699, 18698])).
% 49.36/32.46 tff(18701,plain,
% 49.36/32.46 (~v118(constB131)),
% 49.36/32.46 inference(unit_resolution,[status(thm)],[18700, 166, 18697])).
% 49.36/32.46 tff(18702,plain,
% 49.36/32.46 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB131) | (~v120(constB131)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB131) | (~v120(constB131)))),
% 49.36/32.46 inference(rewrite,[status(thm)],[])).
% 49.36/32.46 tff(18703,plain,
% 49.36/32.46 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB131) | (~v120(constB131)))),
% 49.36/32.46 inference(quant_inst,[status(thm)],[])).
% 49.36/32.46 tff(18704,plain,
% 49.36/32.46 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB131) | (~v120(constB131))),
% 49.36/32.46 inference(modus_ponens,[status(thm)],[18703, 18702])).
% 49.36/32.46 tff(18705,plain,
% 49.36/32.46 (~v120(constB131)),
% 49.36/32.46 inference(unit_resolution,[status(thm)],[18704, 1302, 18701])).
% 49.36/32.46 tff(18706,plain,
% 49.36/32.46 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB131) | (~v121(constB131)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB131) | (~v121(constB131)))),
% 49.36/32.46 inference(rewrite,[status(thm)],[])).
% 49.36/32.46 tff(18707,plain,
% 49.36/32.46 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB131) | (~v121(constB131)))),
% 49.36/32.46 inference(quant_inst,[status(thm)],[])).
% 49.36/32.46 tff(18708,plain,
% 49.36/32.46 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB131) | (~v121(constB131))),
% 49.36/32.46 inference(modus_ponens,[status(thm)],[18707, 18706])).
% 49.36/32.46 tff(18709,plain,
% 49.36/32.46 (~v121(constB131)),
% 49.36/32.46 inference(unit_resolution,[status(thm)],[18708, 1562, 18697])).
% 49.36/32.46 tff(18710,plain,
% 49.36/32.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB131, bitIndex2)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB131, bitIndex2)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, bitIndex2))),
% 49.36/32.46 inference(rewrite,[status(thm)],[])).
% 49.36/32.46 tff(18711,plain,
% 49.36/32.46 (((~nextState(constB131, constB132)) | (~v90(constB131, bitIndex2)) | v100(constB132) | v90(constB132, bitIndex2)) <=> ((~v90(constB131, bitIndex2)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, bitIndex2))),
% 49.36/32.46 inference(rewrite,[status(thm)],[])).
% 49.36/32.46 tff(18712,plain,
% 49.36/32.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB131, constB132)) | (~v90(constB131, bitIndex2)) | v100(constB132) | v90(constB132, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB131, bitIndex2)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, bitIndex2)))),
% 49.36/32.46 inference(monotonicity,[status(thm)],[18711])).
% 49.36/32.46 tff(18713,plain,
% 49.36/32.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB131, constB132)) | (~v90(constB131, bitIndex2)) | v100(constB132) | v90(constB132, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB131, bitIndex2)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, bitIndex2))),
% 49.36/32.46 inference(transitivity,[status(thm)],[18712, 18710])).
% 49.36/32.46 tff(18714,plain,
% 49.36/32.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB131, constB132)) | (~v90(constB131, bitIndex2)) | v100(constB132) | v90(constB132, bitIndex2))),
% 49.36/32.46 inference(quant_inst,[status(thm)],[])).
% 49.36/32.46 tff(18715,plain,
% 49.36/32.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB131, bitIndex2)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, bitIndex2)),
% 49.36/32.46 inference(modus_ponens,[status(thm)],[18714, 18713])).
% 49.36/32.46 tff(18716,plain,
% 49.36/32.46 ((~v90(constB131, bitIndex2)) | v100(constB132) | v90(constB132, bitIndex2)),
% 49.36/32.46 inference(unit_resolution,[status(thm)],[18715, 417, 18617])).
% 49.36/32.46 tff(18717,plain,
% 49.36/32.46 (~v90(constB131, bitIndex2)),
% 49.36/32.46 inference(unit_resolution,[status(thm)],[18716, 18635, 18634])).
% 49.36/32.46 tff(18718,plain,
% 49.36/32.46 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB131) | (~v119(constB131)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB131) | (~v119(constB131)))),
% 49.36/32.46 inference(rewrite,[status(thm)],[])).
% 49.36/32.46 tff(18719,plain,
% 49.36/32.46 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB131) | (~v119(constB131)))),
% 49.36/32.46 inference(quant_inst,[status(thm)],[])).
% 49.36/32.46 tff(18720,plain,
% 49.36/32.46 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB131) | (~v119(constB131))),
% 49.36/32.46 inference(modus_ponens,[status(thm)],[18719, 18718])).
% 49.36/32.46 tff(18721,plain,
% 49.36/32.46 (~v119(constB131)),
% 49.36/32.46 inference(unit_resolution,[status(thm)],[18720, 155, 18701])).
% 49.36/32.46 tff(18722,assumption,(~v119(constB131)), introduced(assumption)).
% 49.36/32.46 tff(18723,assumption,(~v90(constB131, bitIndex0)), introduced(assumption)).
% 49.36/32.46 tff(18724,assumption,(~v121(constB131)), introduced(assumption)).
% 49.36/32.46 tff(18725,assumption,(~v90(constB131, bitIndex2)), introduced(assumption)).
% 49.36/32.46 tff(18726,plain,
% 49.36/32.46 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB131, bitIndex0) | (~v90(constB131, bitIndex1)) | v90(constB131, bitIndex2) | v121(constB131))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB131, bitIndex0) | (~v90(constB131, bitIndex1)) | v90(constB131, bitIndex2) | v121(constB131))),
% 49.36/32.46 inference(rewrite,[status(thm)],[])).
% 49.36/32.46 tff(18727,plain,
% 49.36/32.46 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB131, bitIndex0) | (~v90(constB131, bitIndex1)) | v90(constB131, bitIndex2) | v121(constB131))),
% 49.36/32.46 inference(quant_inst,[status(thm)],[])).
% 49.36/32.46 tff(18728,plain,
% 49.36/32.46 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB131, bitIndex0) | (~v90(constB131, bitIndex1)) | v90(constB131, bitIndex2) | v121(constB131)),
% 49.36/32.46 inference(modus_ponens,[status(thm)],[18727, 18726])).
% 49.36/32.46 tff(18729,plain,
% 49.36/32.46 (v90(constB131, bitIndex0) | (~v90(constB131, bitIndex1)) | v121(constB131)),
% 49.36/32.46 inference(unit_resolution,[status(thm)],[18728, 1551, 18725])).
% 49.36/32.46 tff(18730,plain,
% 49.36/32.46 (~v90(constB131, bitIndex1)),
% 49.36/32.46 inference(unit_resolution,[status(thm)],[18729, 18723, 18724])).
% 49.36/32.46 tff(18731,plain,
% 49.36/32.46 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB131) | v90(constB131, bitIndex0) | v90(constB131, bitIndex1) | v90(constB131, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB131) | v90(constB131, bitIndex0) | v90(constB131, bitIndex1) | v90(constB131, bitIndex2))),
% 49.36/32.46 inference(rewrite,[status(thm)],[])).
% 49.36/32.46 tff(18732,plain,
% 49.36/32.46 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB131) | v90(constB131, bitIndex0) | v90(constB131, bitIndex1) | v90(constB131, bitIndex2))),
% 49.36/32.46 inference(quant_inst,[status(thm)],[])).
% 49.36/32.46 tff(18733,plain,
% 49.36/32.46 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB131) | v90(constB131, bitIndex0) | v90(constB131, bitIndex1) | v90(constB131, bitIndex2)),
% 49.36/32.46 inference(modus_ponens,[status(thm)],[18732, 18731])).
% 49.36/32.46 tff(18734,plain,
% 49.36/32.46 (v119(constB131) | v90(constB131, bitIndex0) | v90(constB131, bitIndex1)),
% 49.36/32.46 inference(unit_resolution,[status(thm)],[18733, 144, 18725])).
% 49.36/32.46 tff(18735,plain,
% 49.36/32.46 ($false),
% 49.36/32.46 inference(unit_resolution,[status(thm)],[18734, 18730, 18723, 18722])).
% 49.36/32.46 tff(18736,plain,(v90(constB131, bitIndex0) | v119(constB131) | v90(constB131, bitIndex2) | v121(constB131)), inference(lemma,lemma(discharge,[]))).
% 49.36/32.46 tff(18737,plain,
% 49.36/32.46 (v90(constB131, bitIndex0)),
% 49.36/32.46 inference(unit_resolution,[status(thm)],[18736, 18721, 18717, 18709])).
% 49.36/32.46 tff(18738,plain,
% 49.36/32.46 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB131) | (~v122(constB131)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB131) | (~v122(constB131)))),
% 49.36/32.46 inference(rewrite,[status(thm)],[])).
% 49.36/32.46 tff(18739,plain,
% 49.36/32.46 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB131) | (~v122(constB131)))),
% 49.36/32.46 inference(quant_inst,[status(thm)],[])).
% 49.36/32.46 tff(18740,plain,
% 49.36/32.46 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB131) | (~v122(constB131))),
% 49.36/32.46 inference(modus_ponens,[status(thm)],[18739, 18738])).
% 49.36/32.46 tff(18741,plain,
% 49.36/32.46 (~v122(constB131)),
% 49.36/32.46 inference(unit_resolution,[status(thm)],[18740, 1800, 18693])).
% 49.36/32.46 tff(18742,plain,
% 49.36/32.46 ((~v90(constB131, bitIndex0)) | (~v90(constB131, bitIndex1)) | v122(constB131)),
% 49.36/32.46 inference(unit_resolution,[status(thm)],[18597, 1789, 18717])).
% 49.36/32.46 tff(18743,plain,
% 49.36/32.46 (~v90(constB131, bitIndex1)),
% 49.36/32.46 inference(unit_resolution,[status(thm)],[18742, 18737, 18741])).
% 49.36/32.46 tff(18744,plain,
% 49.36/32.46 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB131, bitIndex0)) | v90(constB131, bitIndex1) | v90(constB131, bitIndex2) | v120(constB131))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB131, bitIndex0)) | v90(constB131, bitIndex1) | v90(constB131, bitIndex2) | v120(constB131))),
% 49.36/32.46 inference(rewrite,[status(thm)],[])).
% 49.36/32.46 tff(18745,plain,
% 49.36/32.46 (((~v90(constB131, bitIndex0)) | v120(constB131) | v90(constB131, bitIndex1) | v90(constB131, bitIndex2)) <=> ((~v90(constB131, bitIndex0)) | v90(constB131, bitIndex1) | v90(constB131, bitIndex2) | v120(constB131))),
% 49.36/32.46 inference(rewrite,[status(thm)],[])).
% 49.36/32.46 tff(18746,plain,
% 49.36/32.46 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB131, bitIndex0)) | v120(constB131) | v90(constB131, bitIndex1) | v90(constB131, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB131, bitIndex0)) | v90(constB131, bitIndex1) | v90(constB131, bitIndex2) | v120(constB131)))),
% 49.36/32.46 inference(monotonicity,[status(thm)],[18745])).
% 49.36/32.46 tff(18747,plain,
% 49.36/32.46 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB131, bitIndex0)) | v120(constB131) | v90(constB131, bitIndex1) | v90(constB131, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB131, bitIndex0)) | v90(constB131, bitIndex1) | v90(constB131, bitIndex2) | v120(constB131))),
% 49.36/32.46 inference(transitivity,[status(thm)],[18746, 18744])).
% 49.36/32.46 tff(18748,plain,
% 49.36/32.46 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB131, bitIndex0)) | v120(constB131) | v90(constB131, bitIndex1) | v90(constB131, bitIndex2))),
% 49.36/32.46 inference(quant_inst,[status(thm)],[])).
% 49.36/32.46 tff(18749,plain,
% 49.36/32.46 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB131, bitIndex0)) | v90(constB131, bitIndex1) | v90(constB131, bitIndex2) | v120(constB131)),
% 49.36/32.46 inference(modus_ponens,[status(thm)],[18748, 18747])).
% 49.36/32.46 tff(18750,plain,
% 49.36/32.46 ((~v90(constB131, bitIndex0)) | v90(constB131, bitIndex1) | v120(constB131)),
% 49.36/32.46 inference(unit_resolution,[status(thm)],[18749, 1285, 18717])).
% 49.36/32.46 tff(18751,plain,
% 49.36/32.46 ($false),
% 49.36/32.46 inference(unit_resolution,[status(thm)],[18750, 18743, 18737, 18705])).
% 49.36/32.46 tff(18752,plain,(v100(constB132) | v26(constB131) | v90(constB132, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 49.36/32.46 tff(18753,plain,
% 49.36/32.46 (v100(constB132)),
% 49.36/32.46 inference(unit_resolution,[status(thm)],[18752, 18627, 18634])).
% 49.36/32.46 tff(18754,plain,
% 49.36/32.46 (((~![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)))),
% 49.36/32.46 inference(rewrite,[status(thm)],[])).
% 49.36/32.46 tff(18755,plain,
% 49.36/32.46 ((v90(constB132, bitIndex2) | (~v100(constB132)) | (~v129(constB132, bitIndex2))) <=> (v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2)) | (~v100(constB132)))),
% 49.36/32.46 inference(rewrite,[status(thm)],[])).
% 49.36/32.46 tff(18756,plain,
% 49.36/32.46 (((~![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))))),
% 49.36/32.46 inference(monotonicity,[status(thm)],[18755])).
% 49.36/32.46 tff(18757,plain,
% 49.36/32.46 (((~![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)))),
% 49.36/32.46 inference(transitivity,[status(thm)],[18756, 18754])).
% 49.36/32.46 tff(18758,plain,
% 49.36/32.46 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB132, bitIndex2) | (~v100(constB132)) | (~v129(constB132, bitIndex2)))),
% 49.36/32.46 inference(quant_inst,[status(thm)],[])).
% 49.36/32.46 tff(18759,plain,
% 49.36/32.46 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB132, bitIndex2) | (~v129(constB132, bitIndex2)) | (~v100(constB132))),
% 49.36/32.46 inference(modus_ponens,[status(thm)],[18758, 18757])).
% 49.36/32.46 tff(18760,plain,
% 49.36/32.46 ((~v129(constB132, bitIndex2)) | (~v100(constB132))),
% 49.36/32.46 inference(unit_resolution,[status(thm)],[18759, 381, 18634])).
% 49.36/32.46 tff(18761,plain,
% 49.36/32.46 (~v129(constB132, bitIndex2)),
% 49.36/32.46 inference(unit_resolution,[status(thm)],[18760, 18753])).
% 49.36/32.46 tff(18762,plain,
% 49.36/32.46 (((~![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))),
% 49.36/32.46 inference(rewrite,[status(thm)],[])).
% 49.36/32.47 tff(18763,plain,
% 49.36/32.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB131, constB132)) | (~v127(constB131, bitIndex2)) | v129(constB132, bitIndex2))),
% 49.36/32.47 inference(quant_inst,[status(thm)],[])).
% 49.36/32.47 tff(18764,plain,
% 49.36/32.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB131, constB132)) | (~v127(constB131, bitIndex2)) | v129(constB132, bitIndex2)),
% 49.36/32.47 inference(modus_ponens,[status(thm)],[18763, 18762])).
% 49.36/32.47 tff(18765,plain,
% 49.36/32.47 ((~v127(constB131, bitIndex2)) | v129(constB132, bitIndex2)),
% 49.36/32.47 inference(unit_resolution,[status(thm)],[18764, 366, 18617])).
% 49.36/32.47 tff(18766,plain,
% 49.36/32.47 ($false),
% 49.36/32.47 inference(unit_resolution,[status(thm)],[18765, 18761, 18633])).
% 49.36/32.47 tff(18767,plain,(v26(constB131) | v90(constB132, bitIndex2) | (~v130(constB131, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 49.36/32.47 tff(18768,plain,
% 49.36/32.47 (v90(constB132, bitIndex2) | (~v130(constB131, bitIndex2))),
% 49.36/32.47 inference(unit_resolution,[status(thm)],[18767, 18606])).
% 49.36/32.47 tff(18769,plain,
% 49.36/32.47 (v90(constB132, bitIndex2)),
% 49.36/32.47 inference(unit_resolution,[status(thm)],[18768, 18626])).
% 49.36/32.47 tff(18770,plain,
% 49.36/32.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB131, bitIndex2) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB131, bitIndex2) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, bitIndex2)))),
% 49.36/32.47 inference(rewrite,[status(thm)],[])).
% 49.36/32.47 tff(18771,plain,
% 49.36/32.47 (((~nextState(constB131, constB132)) | v90(constB131, bitIndex2) | v100(constB132) | (~v90(constB132, bitIndex2))) <=> (v90(constB131, bitIndex2) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, bitIndex2)))),
% 49.36/32.47 inference(rewrite,[status(thm)],[])).
% 49.36/32.47 tff(18772,plain,
% 49.36/32.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB131, constB132)) | v90(constB131, bitIndex2) | v100(constB132) | (~v90(constB132, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB131, bitIndex2) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, bitIndex2))))),
% 49.36/32.47 inference(monotonicity,[status(thm)],[18771])).
% 49.36/32.47 tff(18773,plain,
% 49.36/32.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB131, constB132)) | v90(constB131, bitIndex2) | v100(constB132) | (~v90(constB132, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB131, bitIndex2) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, bitIndex2)))),
% 49.36/32.47 inference(transitivity,[status(thm)],[18772, 18770])).
% 49.36/32.47 tff(18774,plain,
% 49.36/32.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB131, constB132)) | v90(constB131, bitIndex2) | v100(constB132) | (~v90(constB132, bitIndex2)))),
% 49.36/32.47 inference(quant_inst,[status(thm)],[])).
% 49.36/32.47 tff(18775,plain,
% 49.36/32.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB131, bitIndex2) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, bitIndex2))),
% 49.36/32.47 inference(modus_ponens,[status(thm)],[18774, 18773])).
% 49.36/32.47 tff(18776,plain,
% 49.36/32.47 (v90(constB131, bitIndex2) | v100(constB132) | (~v90(constB132, bitIndex2))),
% 49.36/32.47 inference(unit_resolution,[status(thm)],[18775, 81, 18617])).
% 49.36/32.47 tff(18777,plain,
% 49.36/32.47 (v100(constB132)),
% 49.36/32.47 inference(unit_resolution,[status(thm)],[18776, 18769, 18532])).
% 49.36/32.47 tff(18778,plain,
% 49.36/32.47 (((~![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)))),
% 49.36/32.47 inference(rewrite,[status(thm)],[])).
% 49.36/32.47 tff(18779,plain,
% 49.36/32.47 (((~v90(constB132, bitIndex0)) | (~v100(constB132)) | v129(constB132, bitIndex0)) <=> ((~v90(constB132, bitIndex0)) | v129(constB132, bitIndex0) | (~v100(constB132)))),
% 49.36/32.47 inference(rewrite,[status(thm)],[])).
% 49.36/32.47 tff(18780,plain,
% 49.36/32.47 (((~![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))))),
% 49.36/32.47 inference(monotonicity,[status(thm)],[18779])).
% 49.36/32.47 tff(18781,plain,
% 49.36/32.47 (((~![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)))),
% 49.36/32.47 inference(transitivity,[status(thm)],[18780, 18778])).
% 49.36/32.47 tff(18782,plain,
% 49.36/32.47 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB132, bitIndex0)) | (~v100(constB132)) | v129(constB132, bitIndex0))),
% 49.36/32.47 inference(quant_inst,[status(thm)],[])).
% 49.36/32.47 tff(18783,plain,
% 49.36/32.47 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB132, bitIndex0)) | v129(constB132, bitIndex0) | (~v100(constB132))),
% 49.36/32.47 inference(modus_ponens,[status(thm)],[18782, 18781])).
% 49.36/32.47 tff(18784,plain,
% 49.36/32.47 (~v90(constB132, bitIndex0)),
% 49.36/32.47 inference(unit_resolution,[status(thm)],[18783, 557, 18777, 18622])).
% 49.36/32.47 tff(18785,plain,
% 49.36/32.47 ((~v1(constB133)) <=> (~v1(constB133))),
% 49.36/32.47 inference(rewrite,[status(thm)],[])).
% 49.36/32.47 tff(18786,axiom,(~v1(constB133)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_133_1_1')).
% 49.36/32.47 tff(18787,plain,
% 49.36/32.47 (~v1(constB133)),
% 49.36/32.47 inference(modus_ponens,[status(thm)],[18786, 18785])).
% 49.36/32.47 tff(18788,plain,
% 49.36/32.47 (nextState(constB132, constB133) <=> nextState(constB132, constB133)),
% 49.36/32.47 inference(rewrite,[status(thm)],[])).
% 49.36/32.47 tff(18789,axiom,(nextState(constB132, constB133)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_132_1')).
% 49.36/32.47 tff(18790,plain,
% 49.36/32.47 (nextState(constB132, constB133)),
% 49.36/32.47 inference(modus_ponens,[status(thm)],[18789, 18788])).
% 49.36/32.47 tff(18791,plain,
% 49.36/32.47 (((~![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)))),
% 49.36/32.47 inference(rewrite,[status(thm)],[])).
% 49.36/32.47 tff(18792,plain,
% 49.36/32.47 (((~nextState(constB132, constB133)) | (~v101(constB133)) | v1(constB133)) <=> (v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133)))),
% 49.36/32.47 inference(rewrite,[status(thm)],[])).
% 49.36/32.47 tff(18793,plain,
% 49.36/32.47 (((~![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))))),
% 49.36/32.47 inference(monotonicity,[status(thm)],[18792])).
% 49.36/32.47 tff(18794,plain,
% 49.36/32.47 (((~![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)))),
% 49.36/32.47 inference(transitivity,[status(thm)],[18793, 18791])).
% 49.36/32.47 tff(18795,plain,
% 49.36/32.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB132, constB133)) | (~v101(constB133)) | v1(constB133))),
% 49.36/32.47 inference(quant_inst,[status(thm)],[])).
% 49.36/32.47 tff(18796,plain,
% 49.36/32.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133))),
% 49.36/32.47 inference(modus_ponens,[status(thm)],[18795, 18794])).
% 49.36/32.47 tff(18797,plain,
% 49.36/32.47 (~v101(constB133)),
% 49.36/32.47 inference(unit_resolution,[status(thm)],[18796, 49, 18790, 18787])).
% 49.36/32.47 tff(18798,plain,
% 49.36/32.47 (((~![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)))),
% 49.36/32.47 inference(rewrite,[status(thm)],[])).
% 49.36/32.47 tff(18799,plain,
% 49.36/32.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB132, constB133)) | v101(constB133) | (~v100(constB133)))),
% 49.36/32.47 inference(quant_inst,[status(thm)],[])).
% 49.36/32.47 tff(18800,plain,
% 49.36/32.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB132, constB133)) | v101(constB133) | (~v100(constB133))),
% 49.36/32.47 inference(modus_ponens,[status(thm)],[18799, 18798])).
% 49.36/32.47 tff(18801,plain,
% 49.36/32.47 (v101(constB133) | (~v100(constB133))),
% 49.36/32.47 inference(unit_resolution,[status(thm)],[18800, 66, 18790])).
% 49.36/32.47 tff(18802,plain,
% 49.36/32.47 (~v100(constB133)),
% 49.36/32.47 inference(unit_resolution,[status(thm)],[18801, 18797])).
% 49.36/32.47 tff(18803,plain,
% 49.36/32.47 (((~![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)))),
% 49.36/32.47 inference(rewrite,[status(thm)],[])).
% 49.36/32.47 tff(18804,plain,
% 49.36/32.47 (((~nextState(constB132, constB133)) | v90(constB132, bitIndex0) | v100(constB133) | (~v90(constB133, bitIndex0))) <=> (v90(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex0)))),
% 49.36/32.47 inference(rewrite,[status(thm)],[])).
% 49.36/32.47 tff(18805,plain,
% 49.36/32.47 (((~![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))))),
% 49.36/32.47 inference(monotonicity,[status(thm)],[18804])).
% 49.36/32.47 tff(18806,plain,
% 49.36/32.47 (((~![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)))),
% 49.36/32.47 inference(transitivity,[status(thm)],[18805, 18803])).
% 49.36/32.47 tff(18807,plain,
% 49.36/32.47 ((~![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)))),
% 49.36/32.47 inference(quant_inst,[status(thm)],[])).
% 49.36/32.47 tff(18808,plain,
% 49.36/32.47 ((~![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))),
% 49.36/32.47 inference(modus_ponens,[status(thm)],[18807, 18806])).
% 49.36/32.47 tff(18809,plain,
% 49.36/32.47 (v90(constB132, bitIndex0) | v100(constB133) | (~v90(constB133, bitIndex0))),
% 49.36/32.47 inference(unit_resolution,[status(thm)],[18808, 123, 18790])).
% 49.36/32.47 tff(18810,plain,
% 49.36/32.47 (v90(constB132, bitIndex0) | (~v90(constB133, bitIndex0))),
% 49.36/32.47 inference(unit_resolution,[status(thm)],[18809, 18802])).
% 49.36/32.47 tff(18811,plain,
% 49.36/32.47 (~v90(constB133, bitIndex0)),
% 49.36/32.47 inference(unit_resolution,[status(thm)],[18810, 18784])).
% 49.36/32.47 tff(18812,plain,
% 49.36/32.47 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB131)) | (~v130(constB131, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB131)) | (~v130(constB131, bitIndex1)))),
% 49.36/32.47 inference(rewrite,[status(thm)],[])).
% 49.36/32.47 tff(18813,plain,
% 49.36/32.47 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB131)) | (~v130(constB131, bitIndex1)))),
% 49.36/32.47 inference(quant_inst,[status(thm)],[])).
% 49.36/32.47 tff(18814,plain,
% 49.36/32.47 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB131)) | (~v130(constB131, bitIndex1))),
% 49.36/32.47 inference(modus_ponens,[status(thm)],[18813, 18812])).
% 49.36/32.47 tff(18815,plain,
% 49.36/32.47 (~v130(constB131, bitIndex1)),
% 49.36/32.47 inference(unit_resolution,[status(thm)],[18814, 1935, 18598])).
% 49.36/32.47 tff(18816,plain,
% 49.36/32.47 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB131, bitIndex1)) | v26(constB131) | v130(constB131, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB131, bitIndex1)) | v26(constB131) | v130(constB131, bitIndex1))),
% 49.36/32.47 inference(rewrite,[status(thm)],[])).
% 49.36/32.47 tff(18817,plain,
% 49.36/32.47 ((v26(constB131) | v130(constB131, bitIndex1) | (~v127(constB131, bitIndex1))) <=> ((~v127(constB131, bitIndex1)) | v26(constB131) | v130(constB131, bitIndex1))),
% 49.36/32.47 inference(rewrite,[status(thm)],[])).
% 49.36/32.47 tff(18818,plain,
% 49.36/32.47 (((~![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)))) | ((~v127(constB131, bitIndex1)) | v26(constB131) | v130(constB131, bitIndex1)))),
% 49.36/32.47 inference(monotonicity,[status(thm)],[18817])).
% 49.36/32.47 tff(18819,plain,
% 49.36/32.47 (((~![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)))) | (~v127(constB131, bitIndex1)) | v26(constB131) | v130(constB131, bitIndex1))),
% 49.36/32.47 inference(transitivity,[status(thm)],[18818, 18816])).
% 49.36/32.47 tff(18820,plain,
% 49.36/32.47 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB131) | v130(constB131, bitIndex1) | (~v127(constB131, bitIndex1)))),
% 49.36/32.47 inference(quant_inst,[status(thm)],[])).
% 49.36/32.47 tff(18821,plain,
% 49.36/32.47 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB131, bitIndex1)) | v26(constB131) | v130(constB131, bitIndex1)),
% 49.36/32.47 inference(modus_ponens,[status(thm)],[18820, 18819])).
% 49.36/32.47 tff(18822,plain,
% 49.36/32.47 ((~v127(constB131, bitIndex1)) | v130(constB131, bitIndex1)),
% 49.36/32.47 inference(unit_resolution,[status(thm)],[18821, 450, 18606])).
% 49.36/32.47 tff(18823,plain,
% 49.36/32.47 (~v127(constB131, bitIndex1)),
% 49.36/32.47 inference(unit_resolution,[status(thm)],[18822, 18815])).
% 49.36/32.47 tff(18824,plain,
% 49.36/32.47 (((~![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)))),
% 49.36/32.47 inference(rewrite,[status(thm)],[])).
% 49.36/32.47 tff(18825,plain,
% 49.36/32.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB131, constB132)) | v127(constB131, bitIndex1) | (~v129(constB132, bitIndex1)))),
% 49.36/32.47 inference(quant_inst,[status(thm)],[])).
% 49.36/32.47 tff(18826,plain,
% 49.36/32.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB131, constB132)) | v127(constB131, bitIndex1) | (~v129(constB132, bitIndex1))),
% 49.36/32.47 inference(modus_ponens,[status(thm)],[18825, 18824])).
% 49.36/32.47 tff(18827,plain,
% 49.36/32.47 (v127(constB131, bitIndex1) | (~v129(constB132, bitIndex1))),
% 49.36/32.47 inference(unit_resolution,[status(thm)],[18826, 468, 18617])).
% 49.36/32.47 tff(18828,plain,
% 49.36/32.47 (~v129(constB132, bitIndex1)),
% 49.36/32.47 inference(unit_resolution,[status(thm)],[18827, 18823])).
% 49.36/32.47 tff(18829,plain,
% 49.36/32.47 (((~![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)))),
% 49.36/32.47 inference(rewrite,[status(thm)],[])).
% 49.36/32.47 tff(18830,plain,
% 49.36/32.47 (((~v90(constB132, bitIndex1)) | (~v100(constB132)) | v129(constB132, bitIndex1)) <=> ((~v90(constB132, bitIndex1)) | v129(constB132, bitIndex1) | (~v100(constB132)))),
% 49.36/32.47 inference(rewrite,[status(thm)],[])).
% 49.36/32.47 tff(18831,plain,
% 49.36/32.47 (((~![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))))),
% 49.36/32.47 inference(monotonicity,[status(thm)],[18830])).
% 49.36/32.47 tff(18832,plain,
% 49.36/32.47 (((~![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)))),
% 49.36/32.47 inference(transitivity,[status(thm)],[18831, 18829])).
% 49.36/32.47 tff(18833,plain,
% 49.36/32.47 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB132, bitIndex1)) | (~v100(constB132)) | v129(constB132, bitIndex1))),
% 49.36/32.47 inference(quant_inst,[status(thm)],[])).
% 49.36/32.47 tff(18834,plain,
% 49.36/32.47 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB132, bitIndex1)) | v129(constB132, bitIndex1) | (~v100(constB132))),
% 49.36/32.47 inference(modus_ponens,[status(thm)],[18833, 18832])).
% 49.36/32.47 tff(18835,plain,
% 49.36/32.47 (~v90(constB132, bitIndex1)),
% 49.36/32.47 inference(unit_resolution,[status(thm)],[18834, 483, 18777, 18828])).
% 49.36/32.47 tff(18836,plain,
% 49.36/32.47 (((~![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)))),
% 49.36/32.47 inference(rewrite,[status(thm)],[])).
% 49.36/32.47 tff(18837,plain,
% 49.36/32.47 (((~nextState(constB132, constB133)) | v90(constB132, bitIndex1) | v100(constB133) | (~v90(constB133, bitIndex1))) <=> (v90(constB132, bitIndex1) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, bitIndex1)))),
% 49.36/32.47 inference(rewrite,[status(thm)],[])).
% 49.36/32.47 tff(18838,plain,
% 49.36/32.47 (((~![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))))),
% 49.36/32.47 inference(monotonicity,[status(thm)],[18837])).
% 49.36/32.47 tff(18839,plain,
% 49.36/32.47 (((~![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)))),
% 49.36/32.47 inference(transitivity,[status(thm)],[18838, 18836])).
% 49.36/32.47 tff(18840,plain,
% 49.36/32.47 ((~![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)))),
% 49.36/32.47 inference(quant_inst,[status(thm)],[])).
% 49.36/32.47 tff(18841,plain,
% 49.36/32.47 ((~![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))),
% 49.36/32.47 inference(modus_ponens,[status(thm)],[18840, 18839])).
% 49.36/32.47 tff(18842,plain,
% 49.36/32.47 (v90(constB132, bitIndex1) | v100(constB133) | (~v90(constB133, bitIndex1))),
% 49.36/32.47 inference(unit_resolution,[status(thm)],[18841, 102, 18790])).
% 49.36/32.47 tff(18843,plain,
% 49.36/32.47 (v90(constB132, bitIndex1) | (~v90(constB133, bitIndex1))),
% 49.36/32.47 inference(unit_resolution,[status(thm)],[18842, 18802])).
% 49.36/32.47 tff(18844,plain,
% 49.36/32.47 (~v90(constB133, bitIndex1)),
% 49.36/32.47 inference(unit_resolution,[status(thm)],[18843, 18835])).
% 49.36/32.47 tff(18845,plain,
% 49.36/32.47 (((~![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))),
% 49.36/32.47 inference(rewrite,[status(thm)],[])).
% 49.36/32.47 tff(18846,plain,
% 49.36/32.47 (((~nextState(constB132, constB133)) | (~v90(constB132, bitIndex2)) | v100(constB133) | v90(constB133, bitIndex2)) <=> ((~v90(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, bitIndex2))),
% 49.36/32.47 inference(rewrite,[status(thm)],[])).
% 49.36/32.47 tff(18847,plain,
% 49.36/32.47 (((~![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)))),
% 49.36/32.47 inference(monotonicity,[status(thm)],[18846])).
% 49.36/32.47 tff(18848,plain,
% 49.36/32.47 (((~![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))),
% 49.36/32.47 inference(transitivity,[status(thm)],[18847, 18845])).
% 49.36/32.47 tff(18849,plain,
% 49.36/32.47 ((~![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))),
% 49.36/32.47 inference(quant_inst,[status(thm)],[])).
% 49.36/32.47 tff(18850,plain,
% 49.36/32.47 ((~![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)),
% 49.36/32.47 inference(modus_ponens,[status(thm)],[18849, 18848])).
% 49.36/32.47 tff(18851,plain,
% 49.36/32.47 ((~v90(constB132, bitIndex2)) | v100(constB133) | v90(constB133, bitIndex2)),
% 49.36/32.47 inference(unit_resolution,[status(thm)],[18850, 417, 18790])).
% 49.36/32.47 tff(18852,plain,
% 49.36/32.47 ((~v90(constB132, bitIndex2)) | v90(constB133, bitIndex2)),
% 49.36/32.47 inference(unit_resolution,[status(thm)],[18851, 18802])).
% 49.36/32.47 tff(18853,plain,
% 49.36/32.47 (v90(constB133, bitIndex2)),
% 49.36/32.47 inference(unit_resolution,[status(thm)],[18852, 18769])).
% 49.36/32.47 tff(18854,plain,
% 49.36/32.47 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex2)) | v123(constB133))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex2)) | v123(constB133))),
% 49.36/32.47 inference(rewrite,[status(thm)],[])).
% 49.36/32.47 tff(18855,plain,
% 49.36/32.47 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex2)) | v123(constB133))),
% 49.36/32.47 inference(quant_inst,[status(thm)],[])).
% 49.36/32.47 tff(18856,plain,
% 49.36/32.47 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex2)) | v123(constB133)),
% 49.36/32.47 inference(modus_ponens,[status(thm)],[18855, 18854])).
% 49.36/32.47 tff(18857,plain,
% 49.36/32.47 (v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | v123(constB133)),
% 49.36/32.47 inference(unit_resolution,[status(thm)],[18856, 584, 18853])).
% 49.36/32.47 tff(18858,plain,
% 49.36/32.47 (v123(constB133)),
% 49.36/32.47 inference(unit_resolution,[status(thm)],[18857, 18844, 18811])).
% 49.36/32.47 tff(18859,plain,
% 49.36/32.47 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB133)) | v130(constB133, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB133)) | v130(constB133, bitIndex2))),
% 49.36/32.47 inference(rewrite,[status(thm)],[])).
% 49.36/32.47 tff(18860,plain,
% 49.36/32.47 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB133)) | v130(constB133, bitIndex2))),
% 49.36/32.47 inference(quant_inst,[status(thm)],[])).
% 49.36/32.47 tff(18861,plain,
% 49.36/32.47 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB133)) | v130(constB133, bitIndex2)),
% 49.36/32.47 inference(modus_ponens,[status(thm)],[18860, 18859])).
% 49.36/32.47 tff(18862,plain,
% 49.36/32.47 (v130(constB133, bitIndex2)),
% 49.36/32.47 inference(unit_resolution,[status(thm)],[18861, 836, 18858])).
% 49.36/32.47 tff(18863,assumption,(v26(constB133)), introduced(assumption)).
% 49.36/32.47 tff(18864,plain,
% 49.36/32.47 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB133))),
% 49.36/32.47 inference(quant_inst,[status(thm)],[])).
% 49.36/32.47 tff(18865,plain,
% 49.36/32.47 ($false),
% 49.36/32.47 inference(unit_resolution,[status(thm)],[18864, 16, 18863])).
% 49.36/32.47 tff(18866,plain,(~v26(constB133)), inference(lemma,lemma(discharge,[]))).
% 49.36/32.47 tff(18867,plain,
% 49.36/32.47 (((~![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))) | v26(constB133) | (~v130(constB133, bitIndex2)) | v127(constB133, bitIndex2))),
% 49.36/32.47 inference(rewrite,[status(thm)],[])).
% 49.36/32.47 tff(18868,plain,
% 49.36/32.47 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB133) | (~v130(constB133, bitIndex2)) | v127(constB133, bitIndex2))),
% 49.36/32.47 inference(quant_inst,[status(thm)],[])).
% 49.36/32.47 tff(18869,plain,
% 49.36/32.47 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB133) | (~v130(constB133, bitIndex2)) | v127(constB133, bitIndex2)),
% 49.36/32.47 inference(modus_ponens,[status(thm)],[18868, 18867])).
% 49.36/32.47 tff(18870,plain,
% 49.36/32.47 ((~v130(constB133, bitIndex2)) | v127(constB133, bitIndex2)),
% 49.36/32.47 inference(unit_resolution,[status(thm)],[18869, 351, 18866])).
% 49.36/32.47 tff(18871,plain,
% 49.36/32.47 (v127(constB133, bitIndex2)),
% 49.36/32.47 inference(unit_resolution,[status(thm)],[18870, 18862])).
% 49.36/32.47 tff(18872,plain,
% 49.36/32.47 (nextState(constB133, constB134) <=> nextState(constB133, constB134)),
% 49.36/32.47 inference(rewrite,[status(thm)],[])).
% 49.36/32.47 tff(18873,axiom,(nextState(constB133, constB134)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_133_1')).
% 49.36/32.47 tff(18874,plain,
% 49.36/32.47 (nextState(constB133, constB134)),
% 49.36/32.47 inference(modus_ponens,[status(thm)],[18873, 18872])).
% 49.36/32.47 tff(18875,plain,
% 49.36/32.47 (((~![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))),
% 49.36/32.47 inference(rewrite,[status(thm)],[])).
% 49.36/32.47 tff(18876,plain,
% 49.36/32.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB133, constB134)) | (~v127(constB133, bitIndex2)) | v129(constB134, bitIndex2))),
% 49.36/32.47 inference(quant_inst,[status(thm)],[])).
% 49.36/32.47 tff(18877,plain,
% 49.36/32.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB133, constB134)) | (~v127(constB133, bitIndex2)) | v129(constB134, bitIndex2)),
% 49.36/32.47 inference(modus_ponens,[status(thm)],[18876, 18875])).
% 49.36/32.47 tff(18878,plain,
% 49.36/32.47 ((~v127(constB133, bitIndex2)) | v129(constB134, bitIndex2)),
% 49.36/32.47 inference(unit_resolution,[status(thm)],[18877, 366, 18874])).
% 49.36/32.47 tff(18879,plain,
% 49.36/32.47 (v129(constB134, bitIndex2)),
% 49.36/32.47 inference(unit_resolution,[status(thm)],[18878, 18871])).
% 49.36/32.47 tff(18880,assumption,(~v90(constB133, bitIndex1)), introduced(assumption)).
% 49.36/32.47 tff(18881,assumption,(~v100(constB134)), introduced(assumption)).
% 49.36/32.47 tff(18882,assumption,(~v90(constB134, bitIndex1)), introduced(assumption)).
% 49.36/32.47 tff(18883,plain,
% 49.36/32.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB133, bitIndex1)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB133, bitIndex1)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, bitIndex1))),
% 49.36/32.47 inference(rewrite,[status(thm)],[])).
% 49.36/32.47 tff(18884,plain,
% 49.36/32.48 (((~nextState(constB133, constB134)) | (~v90(constB133, bitIndex1)) | v100(constB134) | v90(constB134, bitIndex1)) <=> ((~v90(constB133, bitIndex1)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, bitIndex1))),
% 49.36/32.48 inference(rewrite,[status(thm)],[])).
% 49.36/32.48 tff(18885,plain,
% 49.36/32.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB133, constB134)) | (~v90(constB133, bitIndex1)) | v100(constB134) | v90(constB134, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB133, bitIndex1)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, bitIndex1)))),
% 49.36/32.48 inference(monotonicity,[status(thm)],[18884])).
% 49.36/32.48 tff(18886,plain,
% 49.36/32.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB133, constB134)) | (~v90(constB133, bitIndex1)) | v100(constB134) | v90(constB134, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB133, bitIndex1)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, bitIndex1))),
% 49.36/32.48 inference(transitivity,[status(thm)],[18885, 18883])).
% 49.36/32.48 tff(18887,plain,
% 49.36/32.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB133, constB134)) | (~v90(constB133, bitIndex1)) | v100(constB134) | v90(constB134, bitIndex1))),
% 49.36/32.48 inference(quant_inst,[status(thm)],[])).
% 49.36/32.48 tff(18888,plain,
% 49.36/32.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB133, bitIndex1)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, bitIndex1)),
% 49.36/32.48 inference(modus_ponens,[status(thm)],[18887, 18886])).
% 49.36/32.48 tff(18889,plain,
% 49.36/32.48 ((~v90(constB133, bitIndex1)) | v100(constB134) | v90(constB134, bitIndex1)),
% 49.36/32.48 inference(unit_resolution,[status(thm)],[18888, 747, 18874])).
% 49.36/32.48 tff(18890,plain,
% 49.36/32.48 (~v90(constB133, bitIndex1)),
% 49.36/32.48 inference(unit_resolution,[status(thm)],[18889, 18882, 18881])).
% 49.36/32.48 tff(18891,plain,
% 49.36/32.48 (((~![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)))),
% 49.36/32.48 inference(rewrite,[status(thm)],[])).
% 49.36/32.48 tff(18892,plain,
% 49.36/32.48 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB133) | (~nextState(constB133, constB134)) | (~v104(constB134)))),
% 49.36/32.48 inference(quant_inst,[status(thm)],[])).
% 49.36/32.48 tff(18893,plain,
% 49.36/32.48 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB133) | (~nextState(constB133, constB134)) | (~v104(constB134))),
% 49.36/32.48 inference(modus_ponens,[status(thm)],[18892, 18891])).
% 49.36/32.48 tff(18894,plain,
% 49.36/32.48 (~v104(constB134)),
% 49.36/32.48 inference(unit_resolution,[status(thm)],[18893, 271, 18874, 18787])).
% 49.36/32.48 tff(18895,plain,
% 49.36/32.48 (((~![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))),
% 49.36/32.48 inference(rewrite,[status(thm)],[])).
% 49.36/32.48 tff(18896,plain,
% 49.36/32.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB133, constB134)) | v102(constB134) | v104(constB134))),
% 49.36/32.48 inference(quant_inst,[status(thm)],[])).
% 49.36/32.48 tff(18897,plain,
% 49.36/32.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB133, constB134)) | v102(constB134) | v104(constB134)),
% 49.36/32.48 inference(modus_ponens,[status(thm)],[18896, 18895])).
% 49.36/32.48 tff(18898,plain,
% 49.36/32.48 (v102(constB134) | v104(constB134)),
% 49.36/32.48 inference(unit_resolution,[status(thm)],[18897, 285, 18874])).
% 49.36/32.48 tff(18899,plain,
% 49.36/32.48 (v102(constB134)),
% 49.36/32.48 inference(unit_resolution,[status(thm)],[18898, 18894])).
% 49.36/32.48 tff(18900,plain,
% 49.36/32.48 (v1(constB134) <=> v1(constB134)),
% 49.36/32.48 inference(rewrite,[status(thm)],[])).
% 49.36/32.48 tff(18901,axiom,(v1(constB134)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_134_1')).
% 49.36/32.48 tff(18902,plain,
% 49.36/32.48 (v1(constB134)),
% 49.36/32.48 inference(modus_ponens,[status(thm)],[18901, 18900])).
% 49.36/32.48 tff(18903,plain,
% 49.36/32.48 (((~![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)))),
% 49.36/32.48 inference(rewrite,[status(thm)],[])).
% 49.36/32.48 tff(18904,plain,
% 49.36/32.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB133, constB134)) | v101(constB134) | (~v102(constB134)) | (~v1(constB134)))),
% 49.36/32.48 inference(quant_inst,[status(thm)],[])).
% 49.36/32.48 tff(18905,plain,
% 49.36/32.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB133, constB134)) | v101(constB134) | (~v102(constB134)) | (~v1(constB134))),
% 49.36/32.48 inference(modus_ponens,[status(thm)],[18904, 18903])).
% 49.36/32.48 tff(18906,plain,
% 49.36/32.48 (v101(constB134) | (~v102(constB134))),
% 49.36/32.48 inference(unit_resolution,[status(thm)],[18905, 303, 18874, 18902])).
% 49.36/32.48 tff(18907,plain,
% 49.36/32.48 (v101(constB134)),
% 49.36/32.48 inference(unit_resolution,[status(thm)],[18906, 18899])).
% 49.36/32.48 tff(18908,plain,
% 49.36/32.48 (((~![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)))),
% 49.36/32.48 inference(rewrite,[status(thm)],[])).
% 49.36/32.48 tff(18909,plain,
% 49.36/32.48 (((~nextState(constB133, constB134)) | (~v101(constB134)) | (~v110(constB134)) | v100(constB134)) <=> ((~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134)))),
% 49.36/32.48 inference(rewrite,[status(thm)],[])).
% 49.36/32.48 tff(18910,plain,
% 49.36/32.48 (((~![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))))),
% 49.36/32.48 inference(monotonicity,[status(thm)],[18909])).
% 49.36/32.48 tff(18911,plain,
% 49.36/32.48 (((~![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)))),
% 49.36/32.48 inference(transitivity,[status(thm)],[18910, 18908])).
% 49.36/32.48 tff(18912,plain,
% 49.36/32.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB133, constB134)) | (~v101(constB134)) | (~v110(constB134)) | v100(constB134))),
% 49.36/32.48 inference(quant_inst,[status(thm)],[])).
% 49.36/32.48 tff(18913,plain,
% 49.36/32.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134))),
% 49.36/32.48 inference(modus_ponens,[status(thm)],[18912, 18911])).
% 49.36/32.48 tff(18914,plain,
% 49.36/32.48 (v100(constB134) | (~v101(constB134)) | (~v110(constB134))),
% 49.36/32.48 inference(unit_resolution,[status(thm)],[18913, 318, 18874])).
% 49.36/32.48 tff(18915,plain,
% 49.36/32.48 (v100(constB134) | (~v110(constB134))),
% 49.36/32.48 inference(unit_resolution,[status(thm)],[18914, 18907])).
% 49.36/32.48 tff(18916,plain,
% 49.36/32.48 (~v110(constB134)),
% 49.36/32.48 inference(unit_resolution,[status(thm)],[18915, 18881])).
% 49.36/32.48 tff(18917,plain,
% 49.36/32.48 (((~![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)))),
% 49.36/32.48 inference(rewrite,[status(thm)],[])).
% 49.36/32.48 tff(18918,plain,
% 49.36/32.48 (((~nextState(constB133, constB134)) | (~v108(constB133)) | v110(constB134)) <=> ((~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133)))),
% 49.36/32.48 inference(rewrite,[status(thm)],[])).
% 49.36/32.48 tff(18919,plain,
% 49.36/32.48 (((~![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))))),
% 49.36/32.48 inference(monotonicity,[status(thm)],[18918])).
% 49.36/32.48 tff(18920,plain,
% 49.36/32.48 (((~![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)))),
% 49.36/32.48 inference(transitivity,[status(thm)],[18919, 18917])).
% 49.36/32.48 tff(18921,plain,
% 49.36/32.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB133, constB134)) | (~v108(constB133)) | v110(constB134))),
% 49.36/32.48 inference(quant_inst,[status(thm)],[])).
% 49.36/32.48 tff(18922,plain,
% 49.36/32.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133))),
% 49.36/32.48 inference(modus_ponens,[status(thm)],[18921, 18920])).
% 49.36/32.48 tff(18923,plain,
% 49.36/32.48 (v110(constB134) | (~v108(constB133))),
% 49.36/32.48 inference(unit_resolution,[status(thm)],[18922, 253, 18874])).
% 49.36/32.48 tff(18924,plain,
% 49.36/32.48 (~v108(constB133)),
% 49.36/32.48 inference(unit_resolution,[status(thm)],[18923, 18916])).
% 49.36/32.48 tff(18925,plain,
% 49.36/32.48 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB133) | (~v112(constB133)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB133) | (~v112(constB133)))),
% 49.36/32.48 inference(rewrite,[status(thm)],[])).
% 49.36/32.48 tff(18926,plain,
% 49.36/32.48 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB133) | (~v112(constB133)))),
% 49.36/32.48 inference(quant_inst,[status(thm)],[])).
% 49.36/32.48 tff(18927,plain,
% 49.36/32.48 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB133) | (~v112(constB133))),
% 49.36/32.48 inference(modus_ponens,[status(thm)],[18926, 18925])).
% 49.36/32.48 tff(18928,plain,
% 49.36/32.48 (~v112(constB133)),
% 49.36/32.48 inference(unit_resolution,[status(thm)],[18927, 236, 18924])).
% 49.36/32.48 tff(18929,plain,
% 49.36/32.48 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB133) | (~v26(constB133)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB133) | (~v26(constB133)))),
% 49.36/32.48 inference(rewrite,[status(thm)],[])).
% 49.36/32.48 tff(18930,plain,
% 49.36/32.48 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB133) | (~v26(constB133)))),
% 49.36/32.48 inference(quant_inst,[status(thm)],[])).
% 49.36/32.48 tff(18931,plain,
% 49.36/32.48 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB133) | (~v26(constB133))),
% 49.36/32.48 inference(modus_ponens,[status(thm)],[18930, 18929])).
% 49.36/32.48 tff(18932,plain,
% 49.36/32.48 (~v26(constB133)),
% 49.36/32.48 inference(unit_resolution,[status(thm)],[18931, 961, 18924])).
% 49.36/32.48 tff(18933,plain,
% 49.36/32.48 (((~![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)))),
% 49.36/32.48 inference(rewrite,[status(thm)],[])).
% 49.36/32.48 tff(18934,plain,
% 49.36/32.48 ((v26(constB133) | (~v113(constB133)) | v112(constB133)) <=> (v26(constB133) | v112(constB133) | (~v113(constB133)))),
% 49.36/32.48 inference(rewrite,[status(thm)],[])).
% 49.36/32.48 tff(18935,plain,
% 49.36/32.48 (((~![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))))),
% 49.36/32.48 inference(monotonicity,[status(thm)],[18934])).
% 49.36/32.48 tff(18936,plain,
% 49.36/32.48 (((~![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)))),
% 49.36/32.48 inference(transitivity,[status(thm)],[18935, 18933])).
% 49.36/32.48 tff(18937,plain,
% 49.36/32.48 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB133) | (~v113(constB133)) | v112(constB133))),
% 49.36/32.48 inference(quant_inst,[status(thm)],[])).
% 49.36/32.48 tff(18938,plain,
% 49.36/32.48 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB133) | v112(constB133) | (~v113(constB133))),
% 49.36/32.48 inference(modus_ponens,[status(thm)],[18937, 18936])).
% 49.36/32.48 tff(18939,plain,
% 49.36/32.48 (~v113(constB133)),
% 49.36/32.48 inference(unit_resolution,[status(thm)],[18938, 224, 18932, 18928])).
% 49.36/32.48 tff(18940,assumption,(~v90(constB134, bitIndex0)), introduced(assumption)).
% 49.36/32.48 tff(18941,plain,
% 49.36/32.48 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB133) | (~v114(constB133)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB133) | (~v114(constB133)))),
% 49.36/32.48 inference(rewrite,[status(thm)],[])).
% 49.36/32.48 tff(18942,plain,
% 49.36/32.48 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB133) | (~v114(constB133)))),
% 49.36/32.48 inference(quant_inst,[status(thm)],[])).
% 49.36/32.48 tff(18943,plain,
% 49.36/32.48 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB133) | (~v114(constB133))),
% 49.36/32.48 inference(modus_ponens,[status(thm)],[18942, 18941])).
% 49.36/32.48 tff(18944,plain,
% 49.36/32.48 (~v114(constB133)),
% 49.36/32.48 inference(unit_resolution,[status(thm)],[18943, 210, 18939])).
% 49.36/32.48 tff(18945,plain,
% 49.36/32.48 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB133) | (~v115(constB133)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB133) | (~v115(constB133)))),
% 49.36/32.48 inference(rewrite,[status(thm)],[])).
% 49.36/32.48 tff(18946,plain,
% 49.36/32.48 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB133) | (~v115(constB133)))),
% 49.36/32.48 inference(quant_inst,[status(thm)],[])).
% 49.36/32.48 tff(18947,plain,
% 49.36/32.48 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB133) | (~v115(constB133))),
% 49.36/32.48 inference(modus_ponens,[status(thm)],[18946, 18945])).
% 49.36/32.48 tff(18948,plain,
% 49.36/32.48 (~v115(constB133)),
% 49.36/32.48 inference(unit_resolution,[status(thm)],[18947, 199, 18944])).
% 49.36/32.48 tff(18949,assumption,(~v90(constB134, bitIndex2)), introduced(assumption)).
% 49.36/32.48 tff(18950,plain,
% 49.36/32.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB133, bitIndex2)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB133, bitIndex2)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, bitIndex2))),
% 49.36/32.48 inference(rewrite,[status(thm)],[])).
% 49.36/32.48 tff(18951,plain,
% 49.36/32.48 (((~nextState(constB133, constB134)) | (~v90(constB133, bitIndex2)) | v100(constB134) | v90(constB134, bitIndex2)) <=> ((~v90(constB133, bitIndex2)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, bitIndex2))),
% 49.36/32.48 inference(rewrite,[status(thm)],[])).
% 49.36/32.48 tff(18952,plain,
% 49.36/32.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB133, constB134)) | (~v90(constB133, bitIndex2)) | v100(constB134) | v90(constB134, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB133, bitIndex2)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, bitIndex2)))),
% 49.36/32.48 inference(monotonicity,[status(thm)],[18951])).
% 49.36/32.48 tff(18953,plain,
% 49.36/32.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB133, constB134)) | (~v90(constB133, bitIndex2)) | v100(constB134) | v90(constB134, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB133, bitIndex2)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, bitIndex2))),
% 49.36/32.48 inference(transitivity,[status(thm)],[18952, 18950])).
% 49.36/32.48 tff(18954,plain,
% 49.36/32.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB133, constB134)) | (~v90(constB133, bitIndex2)) | v100(constB134) | v90(constB134, bitIndex2))),
% 49.36/32.48 inference(quant_inst,[status(thm)],[])).
% 49.36/32.48 tff(18955,plain,
% 49.36/32.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB133, bitIndex2)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, bitIndex2)),
% 49.36/32.48 inference(modus_ponens,[status(thm)],[18954, 18953])).
% 49.36/32.48 tff(18956,plain,
% 49.36/32.48 ((~v90(constB133, bitIndex2)) | v100(constB134) | v90(constB134, bitIndex2)),
% 49.36/32.48 inference(unit_resolution,[status(thm)],[18955, 417, 18874])).
% 49.36/32.48 tff(18957,plain,
% 49.36/32.48 (~v90(constB133, bitIndex2)),
% 49.36/32.48 inference(unit_resolution,[status(thm)],[18956, 18881, 18949])).
% 49.36/32.48 tff(18958,plain,
% 49.36/32.48 (~v90(constB133, bitIndex1)),
% 49.36/32.48 inference(unit_resolution,[status(thm)],[18889, 18881, 18882])).
% 49.36/32.48 tff(18959,plain,
% 49.36/32.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB133, bitIndex0)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB133, bitIndex0)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, bitIndex0))),
% 49.36/32.48 inference(rewrite,[status(thm)],[])).
% 49.36/32.48 tff(18960,plain,
% 49.36/32.48 (((~nextState(constB133, constB134)) | (~v90(constB133, bitIndex0)) | v100(constB134) | v90(constB134, bitIndex0)) <=> ((~v90(constB133, bitIndex0)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, bitIndex0))),
% 49.36/32.48 inference(rewrite,[status(thm)],[])).
% 49.36/32.48 tff(18961,plain,
% 49.36/32.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB133, constB134)) | (~v90(constB133, bitIndex0)) | v100(constB134) | v90(constB134, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB133, bitIndex0)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, bitIndex0)))),
% 49.36/32.48 inference(monotonicity,[status(thm)],[18960])).
% 49.36/32.48 tff(18962,plain,
% 49.36/32.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB133, constB134)) | (~v90(constB133, bitIndex0)) | v100(constB134) | v90(constB134, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB133, bitIndex0)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, bitIndex0))),
% 49.36/32.48 inference(transitivity,[status(thm)],[18961, 18959])).
% 49.36/32.48 tff(18963,plain,
% 49.36/32.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB133, constB134)) | (~v90(constB133, bitIndex0)) | v100(constB134) | v90(constB134, bitIndex0))),
% 49.36/32.48 inference(quant_inst,[status(thm)],[])).
% 49.36/32.48 tff(18964,plain,
% 49.36/32.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB133, bitIndex0)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, bitIndex0)),
% 49.36/32.48 inference(modus_ponens,[status(thm)],[18963, 18962])).
% 49.36/32.48 tff(18965,plain,
% 49.36/32.48 ((~v90(constB133, bitIndex0)) | v100(constB134) | v90(constB134, bitIndex0)),
% 49.36/32.48 inference(unit_resolution,[status(thm)],[18964, 1124, 18874])).
% 49.36/32.48 tff(18966,plain,
% 49.36/32.48 (~v90(constB133, bitIndex0)),
% 49.36/32.48 inference(unit_resolution,[status(thm)],[18965, 18881, 18940])).
% 49.36/32.48 tff(18967,plain,
% 49.36/32.48 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB133) | v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | v90(constB133, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB133) | v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | v90(constB133, bitIndex2))),
% 49.36/32.48 inference(rewrite,[status(thm)],[])).
% 49.36/32.48 tff(18968,plain,
% 49.36/32.48 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB133) | v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | v90(constB133, bitIndex2))),
% 49.36/32.48 inference(quant_inst,[status(thm)],[])).
% 49.36/32.48 tff(18969,plain,
% 49.36/32.48 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB133) | v90(constB133, bitIndex0) | v90(constB133, bitIndex1) | v90(constB133, bitIndex2)),
% 49.36/32.48 inference(modus_ponens,[status(thm)],[18968, 18967])).
% 49.36/32.48 tff(18970,plain,
% 49.36/32.48 (v119(constB133)),
% 49.36/32.48 inference(unit_resolution,[status(thm)],[18969, 144, 18966, 18958, 18957])).
% 49.36/32.48 tff(18971,plain,
% 49.36/32.48 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB133) | (~v119(constB133)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB133) | (~v119(constB133)))),
% 49.36/32.48 inference(rewrite,[status(thm)],[])).
% 49.36/32.48 tff(18972,plain,
% 49.36/32.48 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB133) | (~v119(constB133)))),
% 49.36/32.48 inference(quant_inst,[status(thm)],[])).
% 49.36/32.48 tff(18973,plain,
% 49.36/32.48 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB133) | (~v119(constB133))),
% 49.36/32.48 inference(modus_ponens,[status(thm)],[18972, 18971])).
% 49.36/32.48 tff(18974,plain,
% 49.36/32.48 (v118(constB133)),
% 49.36/32.48 inference(unit_resolution,[status(thm)],[18973, 155, 18970])).
% 49.36/32.48 tff(18975,plain,
% 49.36/32.48 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB133) | (~v118(constB133)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB133) | (~v118(constB133)))),
% 49.36/32.48 inference(rewrite,[status(thm)],[])).
% 49.36/32.48 tff(18976,plain,
% 49.36/32.48 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB133) | (~v118(constB133)))),
% 49.36/32.48 inference(quant_inst,[status(thm)],[])).
% 49.36/32.48 tff(18977,plain,
% 49.36/32.48 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB133) | (~v118(constB133))),
% 49.36/32.48 inference(modus_ponens,[status(thm)],[18976, 18975])).
% 49.36/32.48 tff(18978,plain,
% 49.36/32.48 (v117(constB133)),
% 49.36/32.48 inference(unit_resolution,[status(thm)],[18977, 166, 18974])).
% 49.36/32.48 tff(18979,plain,
% 49.36/32.48 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB133) | (~v117(constB133)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB133) | (~v117(constB133)))),
% 49.36/32.48 inference(rewrite,[status(thm)],[])).
% 49.36/32.48 tff(18980,plain,
% 49.36/32.48 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB133) | (~v117(constB133)))),
% 49.36/32.48 inference(quant_inst,[status(thm)],[])).
% 49.36/32.48 tff(18981,plain,
% 49.36/32.48 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB133) | (~v117(constB133))),
% 49.36/32.48 inference(modus_ponens,[status(thm)],[18980, 18979])).
% 49.36/32.48 tff(18982,plain,
% 49.36/32.48 (v116(constB133)),
% 49.36/32.48 inference(unit_resolution,[status(thm)],[18981, 177, 18978])).
% 49.36/32.48 tff(18983,plain,
% 49.36/32.48 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB133) | (~v116(constB133)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB133) | (~v116(constB133)))),
% 49.36/32.48 inference(rewrite,[status(thm)],[])).
% 49.36/32.48 tff(18984,plain,
% 49.36/32.48 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB133) | (~v116(constB133)))),
% 49.36/32.48 inference(quant_inst,[status(thm)],[])).
% 49.36/32.48 tff(18985,plain,
% 49.36/32.48 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB133) | (~v116(constB133))),
% 49.36/32.48 inference(modus_ponens,[status(thm)],[18984, 18983])).
% 49.36/32.48 tff(18986,plain,
% 49.36/32.48 ($false),
% 49.36/32.48 inference(unit_resolution,[status(thm)],[18985, 188, 18982, 18948])).
% 49.36/32.48 tff(18987,plain,(v100(constB134) | v90(constB134, bitIndex2) | v90(constB134, bitIndex0) | v90(constB134, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 49.36/32.48 tff(18988,plain,
% 49.36/32.48 (v90(constB134, bitIndex2)),
% 49.36/32.48 inference(unit_resolution,[status(thm)],[18987, 18881, 18940, 18882])).
% 49.36/32.48 tff(18989,plain,
% 49.36/32.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB133, bitIndex2) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB133, bitIndex2) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, bitIndex2)))),
% 49.36/32.48 inference(rewrite,[status(thm)],[])).
% 49.36/32.48 tff(18990,plain,
% 49.36/32.48 (((~nextState(constB133, constB134)) | v90(constB133, bitIndex2) | v100(constB134) | (~v90(constB134, bitIndex2))) <=> (v90(constB133, bitIndex2) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, bitIndex2)))),
% 49.36/32.48 inference(rewrite,[status(thm)],[])).
% 49.36/32.48 tff(18991,plain,
% 49.36/32.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB133, constB134)) | v90(constB133, bitIndex2) | v100(constB134) | (~v90(constB134, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB133, bitIndex2) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, bitIndex2))))),
% 49.36/32.48 inference(monotonicity,[status(thm)],[18990])).
% 49.36/32.48 tff(18992,plain,
% 49.36/32.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB133, constB134)) | v90(constB133, bitIndex2) | v100(constB134) | (~v90(constB134, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB133, bitIndex2) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, bitIndex2)))),
% 49.36/32.48 inference(transitivity,[status(thm)],[18991, 18989])).
% 49.36/32.48 tff(18993,plain,
% 49.36/32.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB133, constB134)) | v90(constB133, bitIndex2) | v100(constB134) | (~v90(constB134, bitIndex2)))),
% 49.36/32.48 inference(quant_inst,[status(thm)],[])).
% 49.36/32.48 tff(18994,plain,
% 49.36/32.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB133, bitIndex2) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, bitIndex2))),
% 49.36/32.48 inference(modus_ponens,[status(thm)],[18993, 18992])).
% 49.36/32.48 tff(18995,plain,
% 49.36/32.48 (v90(constB133, bitIndex2) | v100(constB134) | (~v90(constB134, bitIndex2))),
% 49.36/32.48 inference(unit_resolution,[status(thm)],[18994, 81, 18874])).
% 49.36/32.48 tff(18996,plain,
% 49.36/32.48 (v90(constB133, bitIndex2)),
% 49.36/32.48 inference(unit_resolution,[status(thm)],[18995, 18988, 18881])).
% 49.36/32.48 tff(18997,plain,
% 49.36/32.48 (v123(constB133)),
% 49.36/32.48 inference(unit_resolution,[status(thm)],[18856, 584, 18966, 18958, 18996])).
% 49.36/32.48 tff(18998,plain,
% 49.36/32.48 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB133) | (~v123(constB133)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB133) | (~v123(constB133)))),
% 49.36/32.48 inference(rewrite,[status(thm)],[])).
% 49.36/32.48 tff(18999,plain,
% 49.36/32.48 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB133) | (~v123(constB133)))),
% 49.36/32.48 inference(quant_inst,[status(thm)],[])).
% 49.36/32.48 tff(19000,plain,
% 49.36/32.48 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB133) | (~v123(constB133))),
% 49.36/32.48 inference(modus_ponens,[status(thm)],[18999, 18998])).
% 49.36/32.48 tff(19001,plain,
% 49.36/32.48 (v115(constB133)),
% 49.36/32.48 inference(unit_resolution,[status(thm)],[19000, 595, 18997])).
% 49.36/32.48 tff(19002,plain,
% 49.36/32.48 (v114(constB133)),
% 49.36/32.48 inference(unit_resolution,[status(thm)],[18947, 199, 19001])).
% 49.36/32.48 tff(19003,plain,
% 49.36/32.48 ($false),
% 49.36/32.48 inference(unit_resolution,[status(thm)],[18943, 210, 19002, 18939])).
% 49.36/32.48 tff(19004,plain,(v100(constB134) | v90(constB134, bitIndex0) | v90(constB134, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 49.36/32.48 tff(19005,plain,
% 49.36/32.48 (v90(constB134, bitIndex0)),
% 49.36/32.48 inference(unit_resolution,[status(thm)],[19004, 18882, 18881])).
% 49.36/32.48 tff(19006,plain,
% 49.36/32.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB133, bitIndex0) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB133, bitIndex0) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, bitIndex0)))),
% 49.36/32.48 inference(rewrite,[status(thm)],[])).
% 49.36/32.48 tff(19007,plain,
% 49.36/32.48 (((~nextState(constB133, constB134)) | v90(constB133, bitIndex0) | v100(constB134) | (~v90(constB134, bitIndex0))) <=> (v90(constB133, bitIndex0) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, bitIndex0)))),
% 49.36/32.48 inference(rewrite,[status(thm)],[])).
% 49.36/32.48 tff(19008,plain,
% 49.36/32.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB133, constB134)) | v90(constB133, bitIndex0) | v100(constB134) | (~v90(constB134, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB133, bitIndex0) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, bitIndex0))))),
% 49.36/32.48 inference(monotonicity,[status(thm)],[19007])).
% 49.36/32.48 tff(19009,plain,
% 49.36/32.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB133, constB134)) | v90(constB133, bitIndex0) | v100(constB134) | (~v90(constB134, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB133, bitIndex0) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, bitIndex0)))),
% 49.36/32.49 inference(transitivity,[status(thm)],[19008, 19006])).
% 49.36/32.49 tff(19010,plain,
% 49.36/32.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB133, constB134)) | v90(constB133, bitIndex0) | v100(constB134) | (~v90(constB134, bitIndex0)))),
% 49.36/32.49 inference(quant_inst,[status(thm)],[])).
% 49.36/32.49 tff(19011,plain,
% 49.36/32.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB133, bitIndex0) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, bitIndex0))),
% 49.36/32.49 inference(modus_ponens,[status(thm)],[19010, 19009])).
% 49.36/32.49 tff(19012,plain,
% 49.36/32.49 (v90(constB133, bitIndex0) | v100(constB134) | (~v90(constB134, bitIndex0))),
% 49.36/32.49 inference(unit_resolution,[status(thm)],[19011, 123, 18874])).
% 49.36/32.49 tff(19013,plain,
% 49.36/32.49 (v90(constB133, bitIndex0)),
% 49.36/32.49 inference(unit_resolution,[status(thm)],[19012, 19005, 18881])).
% 49.36/32.49 tff(19014,plain,
% 49.36/32.49 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB133) | (~v124(constB133)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB133) | (~v124(constB133)))),
% 49.36/32.49 inference(rewrite,[status(thm)],[])).
% 49.36/32.49 tff(19015,plain,
% 49.36/32.49 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB133) | (~v124(constB133)))),
% 49.36/32.49 inference(quant_inst,[status(thm)],[])).
% 49.36/32.49 tff(19016,plain,
% 49.36/32.49 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB133) | (~v124(constB133))),
% 49.36/32.49 inference(modus_ponens,[status(thm)],[19015, 19014])).
% 49.36/32.49 tff(19017,plain,
% 49.36/32.49 (~v124(constB133)),
% 49.36/32.49 inference(unit_resolution,[status(thm)],[19016, 2631, 18944])).
% 49.36/32.49 tff(19018,plain,
% 49.36/32.49 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB133, bitIndex0)) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex2)) | v124(constB133))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB133, bitIndex0)) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex2)) | v124(constB133))),
% 49.36/32.49 inference(rewrite,[status(thm)],[])).
% 49.36/32.49 tff(19019,plain,
% 49.36/32.49 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB133, bitIndex0)) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex2)) | v124(constB133))),
% 49.36/32.49 inference(quant_inst,[status(thm)],[])).
% 49.36/32.49 tff(19020,plain,
% 49.36/32.49 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB133, bitIndex0)) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex2)) | v124(constB133)),
% 49.36/32.49 inference(modus_ponens,[status(thm)],[19019, 19018])).
% 49.36/32.49 tff(19021,plain,
% 49.36/32.49 ((~v90(constB133, bitIndex0)) | v90(constB133, bitIndex1) | (~v90(constB133, bitIndex2))),
% 49.36/32.49 inference(unit_resolution,[status(thm)],[19020, 2663, 19017])).
% 49.36/32.49 tff(19022,plain,
% 49.36/32.49 (~v90(constB133, bitIndex2)),
% 49.36/32.49 inference(unit_resolution,[status(thm)],[19021, 19013, 18890])).
% 49.36/32.49 tff(19023,plain,
% 49.36/32.49 (~v116(constB133)),
% 49.36/32.49 inference(unit_resolution,[status(thm)],[18985, 188, 18948])).
% 49.36/32.49 tff(19024,plain,
% 49.36/32.49 (~v117(constB133)),
% 49.36/32.49 inference(unit_resolution,[status(thm)],[18981, 177, 19023])).
% 49.36/32.49 tff(19025,plain,
% 49.36/32.49 (~v118(constB133)),
% 49.36/32.49 inference(unit_resolution,[status(thm)],[18977, 166, 19024])).
% 49.36/32.49 tff(19026,plain,
% 49.36/32.49 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB133) | (~v120(constB133)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB133) | (~v120(constB133)))),
% 49.36/32.49 inference(rewrite,[status(thm)],[])).
% 49.36/32.49 tff(19027,plain,
% 49.36/32.49 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB133) | (~v120(constB133)))),
% 49.36/32.49 inference(quant_inst,[status(thm)],[])).
% 49.36/32.49 tff(19028,plain,
% 49.36/32.49 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB133) | (~v120(constB133))),
% 49.36/32.49 inference(modus_ponens,[status(thm)],[19027, 19026])).
% 49.36/32.49 tff(19029,plain,
% 49.36/32.49 (~v120(constB133)),
% 49.36/32.49 inference(unit_resolution,[status(thm)],[19028, 1302, 19025])).
% 49.36/32.49 tff(19030,plain,
% 49.36/32.49 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB133, bitIndex0)) | v90(constB133, bitIndex1) | v90(constB133, bitIndex2) | v120(constB133))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB133, bitIndex0)) | v90(constB133, bitIndex1) | v90(constB133, bitIndex2) | v120(constB133))),
% 49.36/32.49 inference(rewrite,[status(thm)],[])).
% 49.36/32.49 tff(19031,plain,
% 49.36/32.49 (((~v90(constB133, bitIndex0)) | v120(constB133) | v90(constB133, bitIndex1) | v90(constB133, bitIndex2)) <=> ((~v90(constB133, bitIndex0)) | v90(constB133, bitIndex1) | v90(constB133, bitIndex2) | v120(constB133))),
% 49.36/32.49 inference(rewrite,[status(thm)],[])).
% 49.36/32.49 tff(19032,plain,
% 49.36/32.49 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB133, bitIndex0)) | v120(constB133) | v90(constB133, bitIndex1) | v90(constB133, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB133, bitIndex0)) | v90(constB133, bitIndex1) | v90(constB133, bitIndex2) | v120(constB133)))),
% 49.36/32.49 inference(monotonicity,[status(thm)],[19031])).
% 49.36/32.49 tff(19033,plain,
% 49.36/32.49 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB133, bitIndex0)) | v120(constB133) | v90(constB133, bitIndex1) | v90(constB133, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB133, bitIndex0)) | v90(constB133, bitIndex1) | v90(constB133, bitIndex2) | v120(constB133))),
% 49.36/32.49 inference(transitivity,[status(thm)],[19032, 19030])).
% 49.36/32.49 tff(19034,plain,
% 49.36/32.49 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB133, bitIndex0)) | v120(constB133) | v90(constB133, bitIndex1) | v90(constB133, bitIndex2))),
% 49.36/32.49 inference(quant_inst,[status(thm)],[])).
% 49.36/32.49 tff(19035,plain,
% 49.36/32.49 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB133, bitIndex0)) | v90(constB133, bitIndex1) | v90(constB133, bitIndex2) | v120(constB133)),
% 49.36/32.49 inference(modus_ponens,[status(thm)],[19034, 19033])).
% 49.36/32.49 tff(19036,plain,
% 49.36/32.49 ((~v90(constB133, bitIndex0)) | v90(constB133, bitIndex1) | v90(constB133, bitIndex2)),
% 49.36/32.49 inference(unit_resolution,[status(thm)],[19035, 1285, 19029])).
% 49.36/32.49 tff(19037,plain,
% 49.36/32.49 ($false),
% 49.36/32.49 inference(unit_resolution,[status(thm)],[19036, 19022, 19013, 18890])).
% 49.36/32.49 tff(19038,plain,(v90(constB134, bitIndex1) | v100(constB134)), inference(lemma,lemma(discharge,[]))).
% 49.36/32.49 tff(19039,plain,
% 49.36/32.49 (v90(constB134, bitIndex1)),
% 49.36/32.49 inference(unit_resolution,[status(thm)],[19038, 18881])).
% 49.36/32.49 tff(19040,plain,
% 49.36/32.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB133, bitIndex1) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB133, bitIndex1) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, bitIndex1)))),
% 49.36/32.49 inference(rewrite,[status(thm)],[])).
% 49.36/32.49 tff(19041,plain,
% 49.36/32.49 (((~nextState(constB133, constB134)) | v90(constB133, bitIndex1) | v100(constB134) | (~v90(constB134, bitIndex1))) <=> (v90(constB133, bitIndex1) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, bitIndex1)))),
% 49.36/32.49 inference(rewrite,[status(thm)],[])).
% 49.36/32.49 tff(19042,plain,
% 49.36/32.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB133, constB134)) | v90(constB133, bitIndex1) | v100(constB134) | (~v90(constB134, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB133, bitIndex1) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, bitIndex1))))),
% 49.36/32.49 inference(monotonicity,[status(thm)],[19041])).
% 49.36/32.49 tff(19043,plain,
% 49.36/32.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB133, constB134)) | v90(constB133, bitIndex1) | v100(constB134) | (~v90(constB134, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB133, bitIndex1) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, bitIndex1)))),
% 49.36/32.49 inference(transitivity,[status(thm)],[19042, 19040])).
% 49.36/32.49 tff(19044,plain,
% 49.36/32.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB133, constB134)) | v90(constB133, bitIndex1) | v100(constB134) | (~v90(constB134, bitIndex1)))),
% 49.36/32.49 inference(quant_inst,[status(thm)],[])).
% 49.36/32.49 tff(19045,plain,
% 49.36/32.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB133, bitIndex1) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, bitIndex1))),
% 49.36/32.49 inference(modus_ponens,[status(thm)],[19044, 19043])).
% 49.36/32.49 tff(19046,plain,
% 49.36/32.49 (v90(constB133, bitIndex1) | v100(constB134) | (~v90(constB134, bitIndex1))),
% 49.36/32.49 inference(unit_resolution,[status(thm)],[19045, 102, 18874])).
% 49.36/32.49 tff(19047,plain,
% 49.36/32.49 ($false),
% 49.36/32.49 inference(unit_resolution,[status(thm)],[19046, 19039, 18881, 18880])).
% 49.36/32.49 tff(19048,plain,(v100(constB134) | v90(constB133, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 49.36/32.49 tff(19049,plain,
% 49.36/32.49 (v100(constB134)),
% 49.36/32.49 inference(unit_resolution,[status(thm)],[19048, 18844])).
% 49.36/32.49 tff(19050,plain,
% 49.36/32.49 (((~![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)))),
% 49.36/32.49 inference(rewrite,[status(thm)],[])).
% 49.36/32.49 tff(19051,plain,
% 49.36/32.49 ((v90(constB134, bitIndex2) | (~v100(constB134)) | (~v129(constB134, bitIndex2))) <=> (v90(constB134, bitIndex2) | (~v129(constB134, bitIndex2)) | (~v100(constB134)))),
% 49.36/32.49 inference(rewrite,[status(thm)],[])).
% 49.36/32.49 tff(19052,plain,
% 49.36/32.49 (((~![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))))),
% 49.36/32.49 inference(monotonicity,[status(thm)],[19051])).
% 49.36/32.49 tff(19053,plain,
% 49.36/32.49 (((~![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)))),
% 49.36/32.49 inference(transitivity,[status(thm)],[19052, 19050])).
% 49.36/32.49 tff(19054,plain,
% 49.36/32.49 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB134, bitIndex2) | (~v100(constB134)) | (~v129(constB134, bitIndex2)))),
% 49.36/32.49 inference(quant_inst,[status(thm)],[])).
% 49.36/32.49 tff(19055,plain,
% 49.36/32.49 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB134, bitIndex2) | (~v129(constB134, bitIndex2)) | (~v100(constB134))),
% 49.36/32.49 inference(modus_ponens,[status(thm)],[19054, 19053])).
% 49.36/32.49 tff(19056,plain,
% 49.36/32.49 (v90(constB134, bitIndex2) | (~v129(constB134, bitIndex2))),
% 49.36/32.49 inference(unit_resolution,[status(thm)],[19055, 381, 19049])).
% 49.36/32.49 tff(19057,plain,
% 49.36/32.49 (v90(constB134, bitIndex2)),
% 49.36/32.49 inference(unit_resolution,[status(thm)],[19056, 18879])).
% 49.36/32.49 tff(19058,plain,
% 49.36/32.49 ((~v1(constB135)) <=> (~v1(constB135))),
% 49.36/32.49 inference(rewrite,[status(thm)],[])).
% 49.36/32.49 tff(19059,axiom,(~v1(constB135)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_135_1_1')).
% 49.36/32.49 tff(19060,plain,
% 49.36/32.49 (~v1(constB135)),
% 49.36/32.49 inference(modus_ponens,[status(thm)],[19059, 19058])).
% 49.36/32.49 tff(19061,plain,
% 49.36/32.49 (nextState(constB134, constB135) <=> nextState(constB134, constB135)),
% 49.36/32.49 inference(rewrite,[status(thm)],[])).
% 49.36/32.49 tff(19062,axiom,(nextState(constB134, constB135)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_134_1')).
% 49.36/32.49 tff(19063,plain,
% 49.36/32.49 (nextState(constB134, constB135)),
% 49.36/32.49 inference(modus_ponens,[status(thm)],[19062, 19061])).
% 49.36/32.49 tff(19064,plain,
% 49.36/32.49 (((~![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)))),
% 49.36/32.49 inference(rewrite,[status(thm)],[])).
% 49.36/32.49 tff(19065,plain,
% 49.36/32.49 (((~nextState(constB134, constB135)) | (~v101(constB135)) | v1(constB135)) <=> (v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135)))),
% 49.36/32.49 inference(rewrite,[status(thm)],[])).
% 49.36/32.49 tff(19066,plain,
% 49.36/32.49 (((~![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))))),
% 49.36/32.49 inference(monotonicity,[status(thm)],[19065])).
% 49.36/32.49 tff(19067,plain,
% 49.36/32.49 (((~![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)))),
% 49.36/32.49 inference(transitivity,[status(thm)],[19066, 19064])).
% 49.36/32.49 tff(19068,plain,
% 49.36/32.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB134, constB135)) | (~v101(constB135)) | v1(constB135))),
% 49.36/32.49 inference(quant_inst,[status(thm)],[])).
% 49.36/32.49 tff(19069,plain,
% 49.36/32.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135))),
% 49.36/32.49 inference(modus_ponens,[status(thm)],[19068, 19067])).
% 49.36/32.49 tff(19070,plain,
% 49.36/32.49 (~v101(constB135)),
% 49.36/32.49 inference(unit_resolution,[status(thm)],[19069, 49, 19063, 19060])).
% 49.36/32.49 tff(19071,plain,
% 49.36/32.49 (((~![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)))),
% 49.36/32.49 inference(rewrite,[status(thm)],[])).
% 49.36/32.49 tff(19072,plain,
% 49.36/32.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB134, constB135)) | v101(constB135) | (~v100(constB135)))),
% 49.36/32.49 inference(quant_inst,[status(thm)],[])).
% 49.36/32.49 tff(19073,plain,
% 49.36/32.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB134, constB135)) | v101(constB135) | (~v100(constB135))),
% 49.36/32.49 inference(modus_ponens,[status(thm)],[19072, 19071])).
% 49.36/32.49 tff(19074,plain,
% 49.36/32.49 (v101(constB135) | (~v100(constB135))),
% 49.36/32.49 inference(unit_resolution,[status(thm)],[19073, 66, 19063])).
% 49.36/32.49 tff(19075,plain,
% 49.36/32.49 (~v100(constB135)),
% 49.36/32.49 inference(unit_resolution,[status(thm)],[19074, 19070])).
% 49.36/32.49 tff(19076,plain,
% 49.36/32.49 (((~![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))),
% 49.36/32.49 inference(rewrite,[status(thm)],[])).
% 49.36/32.49 tff(19077,plain,
% 49.36/32.49 (((~nextState(constB134, constB135)) | (~v90(constB134, bitIndex2)) | v100(constB135) | v90(constB135, bitIndex2)) <=> ((~v90(constB134, bitIndex2)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex2))),
% 49.36/32.49 inference(rewrite,[status(thm)],[])).
% 49.36/32.49 tff(19078,plain,
% 49.36/32.49 (((~![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)))),
% 49.36/32.49 inference(monotonicity,[status(thm)],[19077])).
% 49.36/32.49 tff(19079,plain,
% 49.36/32.49 (((~![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))),
% 49.36/32.49 inference(transitivity,[status(thm)],[19078, 19076])).
% 49.36/32.49 tff(19080,plain,
% 49.36/32.49 ((~![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))),
% 49.36/32.49 inference(quant_inst,[status(thm)],[])).
% 49.36/32.49 tff(19081,plain,
% 49.36/32.49 ((~![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)),
% 49.36/32.49 inference(modus_ponens,[status(thm)],[19080, 19079])).
% 49.36/32.49 tff(19082,plain,
% 49.36/32.49 ((~v90(constB134, bitIndex2)) | v100(constB135) | v90(constB135, bitIndex2)),
% 49.36/32.49 inference(unit_resolution,[status(thm)],[19081, 417, 19063])).
% 49.36/32.49 tff(19083,plain,
% 49.36/32.49 ((~v90(constB134, bitIndex2)) | v90(constB135, bitIndex2)),
% 49.36/32.49 inference(unit_resolution,[status(thm)],[19082, 19075])).
% 49.36/32.49 tff(19084,plain,
% 49.36/32.49 (v90(constB135, bitIndex2)),
% 49.36/32.49 inference(unit_resolution,[status(thm)],[19083, 19057])).
% 49.36/32.49 tff(19085,plain,
% 49.36/32.49 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB133)) | v130(constB133, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB133)) | v130(constB133, bitIndex1))),
% 49.36/32.49 inference(rewrite,[status(thm)],[])).
% 49.36/32.49 tff(19086,plain,
% 49.36/32.49 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB133)) | v130(constB133, bitIndex1))),
% 49.36/32.49 inference(quant_inst,[status(thm)],[])).
% 49.36/32.49 tff(19087,plain,
% 49.36/32.49 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB133)) | v130(constB133, bitIndex1)),
% 49.36/32.49 inference(modus_ponens,[status(thm)],[19086, 19085])).
% 49.36/32.49 tff(19088,plain,
% 49.36/32.49 (v130(constB133, bitIndex1)),
% 49.36/32.49 inference(unit_resolution,[status(thm)],[19087, 667, 18858])).
% 49.36/32.49 tff(19089,plain,
% 49.36/32.49 (((~![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))) | v26(constB133) | (~v130(constB133, bitIndex1)) | v127(constB133, bitIndex1))),
% 49.36/32.49 inference(rewrite,[status(thm)],[])).
% 49.36/32.49 tff(19090,plain,
% 49.36/32.49 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB133) | (~v130(constB133, bitIndex1)) | v127(constB133, bitIndex1))),
% 49.36/32.49 inference(quant_inst,[status(thm)],[])).
% 49.36/32.49 tff(19091,plain,
% 49.36/32.49 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB133) | (~v130(constB133, bitIndex1)) | v127(constB133, bitIndex1)),
% 49.36/32.49 inference(modus_ponens,[status(thm)],[19090, 19089])).
% 49.36/32.49 tff(19092,plain,
% 49.36/32.49 ((~v130(constB133, bitIndex1)) | v127(constB133, bitIndex1)),
% 49.36/32.49 inference(unit_resolution,[status(thm)],[19091, 681, 18866])).
% 49.36/32.49 tff(19093,plain,
% 49.36/32.49 (v127(constB133, bitIndex1)),
% 49.36/32.49 inference(unit_resolution,[status(thm)],[19092, 19088])).
% 49.36/32.49 tff(19094,plain,
% 49.36/32.49 (((~![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))),
% 49.36/32.49 inference(rewrite,[status(thm)],[])).
% 49.36/32.49 tff(19095,plain,
% 49.36/32.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB133, constB134)) | (~v127(constB133, bitIndex1)) | v129(constB134, bitIndex1))),
% 49.36/32.49 inference(quant_inst,[status(thm)],[])).
% 49.36/32.49 tff(19096,plain,
% 49.36/32.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB133, constB134)) | (~v127(constB133, bitIndex1)) | v129(constB134, bitIndex1)),
% 49.36/32.49 inference(modus_ponens,[status(thm)],[19095, 19094])).
% 49.36/32.49 tff(19097,plain,
% 49.36/32.49 ((~v127(constB133, bitIndex1)) | v129(constB134, bitIndex1)),
% 49.36/32.49 inference(unit_resolution,[status(thm)],[19096, 696, 18874])).
% 49.36/32.49 tff(19098,plain,
% 49.36/32.49 (v129(constB134, bitIndex1)),
% 49.36/32.49 inference(unit_resolution,[status(thm)],[19097, 19093])).
% 49.36/32.49 tff(19099,plain,
% 49.36/32.49 (((~![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)))),
% 49.36/32.49 inference(rewrite,[status(thm)],[])).
% 49.36/32.49 tff(19100,plain,
% 49.36/32.49 ((v90(constB134, bitIndex1) | (~v100(constB134)) | (~v129(constB134, bitIndex1))) <=> (v90(constB134, bitIndex1) | (~v129(constB134, bitIndex1)) | (~v100(constB134)))),
% 49.36/32.49 inference(rewrite,[status(thm)],[])).
% 49.36/32.49 tff(19101,plain,
% 49.36/32.49 (((~![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))))),
% 49.36/32.49 inference(monotonicity,[status(thm)],[19100])).
% 49.36/32.49 tff(19102,plain,
% 49.36/32.49 (((~![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)))),
% 49.36/32.49 inference(transitivity,[status(thm)],[19101, 19099])).
% 49.36/32.49 tff(19103,plain,
% 49.36/32.49 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB134, bitIndex1) | (~v100(constB134)) | (~v129(constB134, bitIndex1)))),
% 49.36/32.49 inference(quant_inst,[status(thm)],[])).
% 49.36/32.49 tff(19104,plain,
% 49.36/32.49 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB134, bitIndex1) | (~v129(constB134, bitIndex1)) | (~v100(constB134))),
% 49.36/32.49 inference(modus_ponens,[status(thm)],[19103, 19102])).
% 49.36/32.49 tff(19105,plain,
% 49.36/32.49 (v90(constB134, bitIndex1) | (~v129(constB134, bitIndex1))),
% 49.36/32.49 inference(unit_resolution,[status(thm)],[19104, 711, 19049])).
% 49.36/32.49 tff(19106,plain,
% 49.36/32.49 (v90(constB134, bitIndex1)),
% 49.36/32.49 inference(unit_resolution,[status(thm)],[19105, 19098])).
% 49.36/32.49 tff(19107,plain,
% 49.36/32.49 (((~![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))),
% 49.36/32.49 inference(rewrite,[status(thm)],[])).
% 49.36/32.49 tff(19108,plain,
% 49.36/32.49 (((~nextState(constB134, constB135)) | (~v90(constB134, bitIndex1)) | v100(constB135) | v90(constB135, bitIndex1)) <=> ((~v90(constB134, bitIndex1)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, bitIndex1))),
% 49.36/32.49 inference(rewrite,[status(thm)],[])).
% 49.36/32.49 tff(19109,plain,
% 49.36/32.49 (((~![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)))),
% 49.36/32.49 inference(monotonicity,[status(thm)],[19108])).
% 49.36/32.49 tff(19110,plain,
% 49.36/32.49 (((~![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))),
% 49.36/32.49 inference(transitivity,[status(thm)],[19109, 19107])).
% 49.36/32.49 tff(19111,plain,
% 49.36/32.49 ((~![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))),
% 49.36/32.49 inference(quant_inst,[status(thm)],[])).
% 49.36/32.49 tff(19112,plain,
% 49.36/32.49 ((~![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)),
% 49.36/32.49 inference(modus_ponens,[status(thm)],[19111, 19110])).
% 49.36/32.49 tff(19113,plain,
% 49.36/32.49 ((~v90(constB134, bitIndex1)) | v100(constB135) | v90(constB135, bitIndex1)),
% 49.36/32.49 inference(unit_resolution,[status(thm)],[19112, 747, 19063])).
% 49.36/32.49 tff(19114,plain,
% 49.36/32.49 ((~v90(constB134, bitIndex1)) | v90(constB135, bitIndex1)),
% 49.36/32.49 inference(unit_resolution,[status(thm)],[19113, 19075])).
% 49.36/32.49 tff(19115,plain,
% 49.36/32.49 (v90(constB135, bitIndex1)),
% 49.36/32.49 inference(unit_resolution,[status(thm)],[19114, 19106])).
% 49.36/32.49 tff(19116,plain,
% 49.36/32.49 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB133)) | (~v130(constB133, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB133)) | (~v130(constB133, bitIndex0)))),
% 49.36/32.49 inference(rewrite,[status(thm)],[])).
% 49.36/32.49 tff(19117,plain,
% 49.36/32.49 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB133)) | (~v130(constB133, bitIndex0)))),
% 49.36/32.49 inference(quant_inst,[status(thm)],[])).
% 49.36/32.49 tff(19118,plain,
% 49.36/32.49 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB133)) | (~v130(constB133, bitIndex0))),
% 49.36/32.49 inference(modus_ponens,[status(thm)],[19117, 19116])).
% 49.36/32.49 tff(19119,plain,
% 49.36/32.49 (~v130(constB133, bitIndex0)),
% 49.36/32.49 inference(unit_resolution,[status(thm)],[19118, 975, 18858])).
% 49.36/32.49 tff(19120,plain,
% 49.36/32.49 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB133, bitIndex0)) | v26(constB133) | v130(constB133, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB133, bitIndex0)) | v26(constB133) | v130(constB133, bitIndex0))),
% 49.36/32.49 inference(rewrite,[status(thm)],[])).
% 49.36/32.49 tff(19121,plain,
% 49.36/32.49 ((v26(constB133) | v130(constB133, bitIndex0) | (~v127(constB133, bitIndex0))) <=> ((~v127(constB133, bitIndex0)) | v26(constB133) | v130(constB133, bitIndex0))),
% 49.36/32.49 inference(rewrite,[status(thm)],[])).
% 49.36/32.49 tff(19122,plain,
% 49.36/32.49 (((~![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)))) | ((~v127(constB133, bitIndex0)) | v26(constB133) | v130(constB133, bitIndex0)))),
% 49.36/32.49 inference(monotonicity,[status(thm)],[19121])).
% 49.36/32.49 tff(19123,plain,
% 49.36/32.49 (((~![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)))) | (~v127(constB133, bitIndex0)) | v26(constB133) | v130(constB133, bitIndex0))),
% 49.36/32.49 inference(transitivity,[status(thm)],[19122, 19120])).
% 49.36/32.49 tff(19124,plain,
% 49.36/32.49 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB133) | v130(constB133, bitIndex0) | (~v127(constB133, bitIndex0)))),
% 49.36/32.49 inference(quant_inst,[status(thm)],[])).
% 49.36/32.49 tff(19125,plain,
% 49.36/32.49 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB133, bitIndex0)) | v26(constB133) | v130(constB133, bitIndex0)),
% 49.36/32.49 inference(modus_ponens,[status(thm)],[19124, 19123])).
% 49.36/32.49 tff(19126,plain,
% 49.36/32.49 ((~v127(constB133, bitIndex0)) | v130(constB133, bitIndex0)),
% 49.36/32.49 inference(unit_resolution,[status(thm)],[19125, 524, 18866])).
% 49.36/32.49 tff(19127,plain,
% 49.36/32.49 (~v127(constB133, bitIndex0)),
% 49.36/32.49 inference(unit_resolution,[status(thm)],[19126, 19119])).
% 49.36/32.49 tff(19128,plain,
% 49.36/32.49 (((~![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)))),
% 49.36/32.49 inference(rewrite,[status(thm)],[])).
% 49.36/32.49 tff(19129,plain,
% 49.36/32.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB133, constB134)) | v127(constB133, bitIndex0) | (~v129(constB134, bitIndex0)))),
% 49.36/32.49 inference(quant_inst,[status(thm)],[])).
% 49.36/32.49 tff(19130,plain,
% 49.36/32.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB133, constB134)) | v127(constB133, bitIndex0) | (~v129(constB134, bitIndex0))),
% 49.36/32.50 inference(modus_ponens,[status(thm)],[19129, 19128])).
% 49.36/32.50 tff(19131,plain,
% 49.36/32.50 (v127(constB133, bitIndex0) | (~v129(constB134, bitIndex0))),
% 49.36/32.50 inference(unit_resolution,[status(thm)],[19130, 542, 18874])).
% 49.36/32.50 tff(19132,plain,
% 49.36/32.50 (~v129(constB134, bitIndex0)),
% 49.36/32.50 inference(unit_resolution,[status(thm)],[19131, 19127])).
% 49.36/32.50 tff(19133,plain,
% 49.36/32.50 (((~![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)))),
% 49.36/32.50 inference(rewrite,[status(thm)],[])).
% 49.36/32.50 tff(19134,plain,
% 49.36/32.50 (((~v90(constB134, bitIndex0)) | (~v100(constB134)) | v129(constB134, bitIndex0)) <=> ((~v90(constB134, bitIndex0)) | v129(constB134, bitIndex0) | (~v100(constB134)))),
% 49.36/32.50 inference(rewrite,[status(thm)],[])).
% 49.36/32.50 tff(19135,plain,
% 49.36/32.50 (((~![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))))),
% 49.36/32.50 inference(monotonicity,[status(thm)],[19134])).
% 49.36/32.50 tff(19136,plain,
% 49.36/32.50 (((~![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)))),
% 49.36/32.50 inference(transitivity,[status(thm)],[19135, 19133])).
% 49.36/32.50 tff(19137,plain,
% 49.36/32.50 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB134, bitIndex0)) | (~v100(constB134)) | v129(constB134, bitIndex0))),
% 49.45/32.50 inference(quant_inst,[status(thm)],[])).
% 49.45/32.50 tff(19138,plain,
% 49.45/32.50 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB134, bitIndex0)) | v129(constB134, bitIndex0) | (~v100(constB134))),
% 49.45/32.50 inference(modus_ponens,[status(thm)],[19137, 19136])).
% 49.45/32.50 tff(19139,plain,
% 49.45/32.50 ((~v90(constB134, bitIndex0)) | v129(constB134, bitIndex0)),
% 49.45/32.50 inference(unit_resolution,[status(thm)],[19138, 557, 19049])).
% 49.45/32.50 tff(19140,plain,
% 49.45/32.50 (~v90(constB134, bitIndex0)),
% 49.45/32.50 inference(unit_resolution,[status(thm)],[19139, 19132])).
% 49.45/32.50 tff(19141,plain,
% 49.45/32.50 (((~![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)))),
% 49.45/32.50 inference(rewrite,[status(thm)],[])).
% 49.45/32.50 tff(19142,plain,
% 49.45/32.50 (((~nextState(constB134, constB135)) | v90(constB134, bitIndex0) | v100(constB135) | (~v90(constB135, bitIndex0))) <=> (v90(constB134, bitIndex0) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, bitIndex0)))),
% 49.45/32.50 inference(rewrite,[status(thm)],[])).
% 49.45/32.50 tff(19143,plain,
% 49.45/32.50 (((~![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))))),
% 49.45/32.50 inference(monotonicity,[status(thm)],[19142])).
% 49.45/32.50 tff(19144,plain,
% 49.45/32.50 (((~![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)))),
% 49.45/32.50 inference(transitivity,[status(thm)],[19143, 19141])).
% 49.45/32.50 tff(19145,plain,
% 49.45/32.50 ((~![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)))),
% 49.45/32.50 inference(quant_inst,[status(thm)],[])).
% 49.45/32.50 tff(19146,plain,
% 49.45/32.50 ((~![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))),
% 49.45/32.50 inference(modus_ponens,[status(thm)],[19145, 19144])).
% 49.45/32.50 tff(19147,plain,
% 49.45/32.50 (v90(constB134, bitIndex0) | v100(constB135) | (~v90(constB135, bitIndex0))),
% 49.45/32.50 inference(unit_resolution,[status(thm)],[19146, 123, 19063])).
% 49.45/32.50 tff(19148,plain,
% 49.45/32.50 (v90(constB134, bitIndex0) | (~v90(constB135, bitIndex0))),
% 49.45/32.50 inference(unit_resolution,[status(thm)],[19147, 19075])).
% 49.45/32.50 tff(19149,plain,
% 49.45/32.50 (~v90(constB135, bitIndex0)),
% 49.45/32.50 inference(unit_resolution,[status(thm)],[19148, 19140])).
% 49.45/32.50 tff(19150,plain,
% 49.45/32.50 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1)) | (~v90(constB135, bitIndex2)) | v125(constB135))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1)) | (~v90(constB135, bitIndex2)) | v125(constB135))),
% 49.45/32.50 inference(rewrite,[status(thm)],[])).
% 49.45/32.50 tff(19151,plain,
% 49.45/32.50 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1)) | (~v90(constB135, bitIndex2)) | v125(constB135))),
% 49.45/32.50 inference(quant_inst,[status(thm)],[])).
% 49.45/32.50 tff(19152,plain,
% 49.45/32.50 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB135, bitIndex0) | (~v90(constB135, bitIndex1)) | (~v90(constB135, bitIndex2)) | v125(constB135)),
% 49.45/32.50 inference(modus_ponens,[status(thm)],[19151, 19150])).
% 49.45/32.50 tff(19153,plain,
% 49.45/32.50 (v125(constB135)),
% 49.45/32.50 inference(unit_resolution,[status(thm)],[19152, 1019, 19149, 19115, 19084])).
% 49.45/32.50 tff(19154,plain,
% 49.45/32.50 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB135) | (~v125(constB135)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB135) | (~v125(constB135)))),
% 49.45/32.50 inference(rewrite,[status(thm)],[])).
% 49.45/32.50 tff(19155,plain,
% 49.45/32.50 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB135) | (~v125(constB135)))),
% 49.45/32.50 inference(quant_inst,[status(thm)],[])).
% 49.45/32.50 tff(19156,plain,
% 49.45/32.50 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB135) | (~v125(constB135))),
% 49.45/32.50 inference(modus_ponens,[status(thm)],[19155, 19154])).
% 49.45/32.50 tff(19157,plain,
% 49.45/32.50 (v113(constB135)),
% 49.45/32.50 inference(unit_resolution,[status(thm)],[19156, 1031, 19153])).
% 49.45/32.50 tff(19158,assumption,(v26(constB135)), introduced(assumption)).
% 49.45/32.50 tff(19159,plain,
% 49.45/32.50 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB135))),
% 49.45/32.50 inference(quant_inst,[status(thm)],[])).
% 49.45/32.50 tff(19160,plain,
% 49.45/32.50 ($false),
% 49.45/32.50 inference(unit_resolution,[status(thm)],[19159, 16, 19158])).
% 49.45/32.50 tff(19161,plain,(~v26(constB135)), inference(lemma,lemma(discharge,[]))).
% 49.45/32.50 tff(19162,plain,
% 49.45/32.50 (((~![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))),
% 49.45/32.50 inference(rewrite,[status(thm)],[])).
% 49.45/32.50 tff(19163,plain,
% 49.45/32.50 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB135) | (~v113(constB135)) | v112(constB135))),
% 49.45/32.50 inference(quant_inst,[status(thm)],[])).
% 49.45/32.50 tff(19164,plain,
% 49.45/32.50 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB135) | (~v113(constB135)) | v112(constB135)),
% 49.45/32.50 inference(modus_ponens,[status(thm)],[19163, 19162])).
% 49.45/32.50 tff(19165,plain,
% 49.45/32.50 ((~v113(constB135)) | v112(constB135)),
% 49.45/32.50 inference(unit_resolution,[status(thm)],[19164, 224, 19161])).
% 49.45/32.50 tff(19166,plain,
% 49.45/32.50 (v112(constB135)),
% 49.45/32.50 inference(unit_resolution,[status(thm)],[19165, 19157])).
% 49.45/32.50 tff(19167,plain,
% 49.45/32.50 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB135) | (~v112(constB135)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB135) | (~v112(constB135)))),
% 49.45/32.50 inference(rewrite,[status(thm)],[])).
% 49.45/32.50 tff(19168,plain,
% 49.45/32.50 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB135) | (~v112(constB135)))),
% 49.45/32.50 inference(quant_inst,[status(thm)],[])).
% 49.45/32.50 tff(19169,plain,
% 49.45/32.50 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB135) | (~v112(constB135))),
% 49.45/32.50 inference(modus_ponens,[status(thm)],[19168, 19167])).
% 49.45/32.50 tff(19170,plain,
% 49.45/32.50 (v108(constB135)),
% 49.45/32.50 inference(unit_resolution,[status(thm)],[19169, 236, 19166])).
% 49.45/32.50 tff(19171,plain,
% 49.45/32.50 (nextState(constB135, constB136) <=> nextState(constB135, constB136)),
% 49.45/32.50 inference(rewrite,[status(thm)],[])).
% 49.45/32.50 tff(19172,axiom,(nextState(constB135, constB136)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_135_1')).
% 49.45/32.50 tff(19173,plain,
% 49.45/32.50 (nextState(constB135, constB136)),
% 49.45/32.50 inference(modus_ponens,[status(thm)],[19172, 19171])).
% 49.45/32.50 tff(19174,plain,
% 49.45/32.50 (((~![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)))),
% 49.45/32.50 inference(rewrite,[status(thm)],[])).
% 49.45/32.50 tff(19175,plain,
% 49.45/32.50 (((~nextState(constB135, constB136)) | (~v108(constB135)) | v110(constB136)) <=> ((~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135)))),
% 49.45/32.50 inference(rewrite,[status(thm)],[])).
% 49.45/32.50 tff(19176,plain,
% 49.45/32.50 (((~![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))))),
% 49.45/32.50 inference(monotonicity,[status(thm)],[19175])).
% 49.45/32.50 tff(19177,plain,
% 49.45/32.50 (((~![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)))),
% 49.45/32.50 inference(transitivity,[status(thm)],[19176, 19174])).
% 49.45/32.50 tff(19178,plain,
% 49.45/32.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB135, constB136)) | (~v108(constB135)) | v110(constB136))),
% 49.45/32.50 inference(quant_inst,[status(thm)],[])).
% 49.45/32.50 tff(19179,plain,
% 49.45/32.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135))),
% 49.45/32.50 inference(modus_ponens,[status(thm)],[19178, 19177])).
% 49.45/32.50 tff(19180,plain,
% 49.45/32.50 (v110(constB136) | (~v108(constB135))),
% 49.45/32.50 inference(unit_resolution,[status(thm)],[19179, 253, 19173])).
% 49.45/32.50 tff(19181,plain,
% 49.45/32.50 (v110(constB136)),
% 49.45/32.50 inference(unit_resolution,[status(thm)],[19180, 19170])).
% 49.45/32.50 tff(19182,plain,
% 49.45/32.50 (((~![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)))),
% 49.45/32.50 inference(rewrite,[status(thm)],[])).
% 49.45/32.50 tff(19183,plain,
% 49.45/32.50 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB135) | (~nextState(constB135, constB136)) | (~v104(constB136)))),
% 49.45/32.50 inference(quant_inst,[status(thm)],[])).
% 49.45/32.50 tff(19184,plain,
% 49.45/32.50 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB135) | (~nextState(constB135, constB136)) | (~v104(constB136))),
% 49.45/32.50 inference(modus_ponens,[status(thm)],[19183, 19182])).
% 49.45/32.50 tff(19185,plain,
% 49.45/32.50 (~v104(constB136)),
% 49.45/32.50 inference(unit_resolution,[status(thm)],[19184, 271, 19173, 19060])).
% 49.45/32.50 tff(19186,plain,
% 49.45/32.50 (((~![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))),
% 49.45/32.50 inference(rewrite,[status(thm)],[])).
% 49.45/32.50 tff(19187,plain,
% 49.45/32.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB135, constB136)) | v102(constB136) | v104(constB136))),
% 49.45/32.50 inference(quant_inst,[status(thm)],[])).
% 49.45/32.50 tff(19188,plain,
% 49.45/32.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB135, constB136)) | v102(constB136) | v104(constB136)),
% 49.45/32.50 inference(modus_ponens,[status(thm)],[19187, 19186])).
% 49.45/32.50 tff(19189,plain,
% 49.45/32.50 (v102(constB136) | v104(constB136)),
% 49.45/32.50 inference(unit_resolution,[status(thm)],[19188, 285, 19173])).
% 49.45/32.50 tff(19190,plain,
% 49.45/32.50 (v102(constB136)),
% 49.45/32.50 inference(unit_resolution,[status(thm)],[19189, 19185])).
% 49.45/32.50 tff(19191,plain,
% 49.45/32.50 (v1(constB136) <=> v1(constB136)),
% 49.45/32.50 inference(rewrite,[status(thm)],[])).
% 49.45/32.50 tff(19192,axiom,(v1(constB136)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_136_1')).
% 49.45/32.50 tff(19193,plain,
% 49.45/32.50 (v1(constB136)),
% 49.45/32.50 inference(modus_ponens,[status(thm)],[19192, 19191])).
% 49.45/32.50 tff(19194,plain,
% 49.45/32.50 (((~![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)))),
% 49.45/32.50 inference(rewrite,[status(thm)],[])).
% 49.45/32.50 tff(19195,plain,
% 49.45/32.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB135, constB136)) | v101(constB136) | (~v102(constB136)) | (~v1(constB136)))),
% 49.45/32.50 inference(quant_inst,[status(thm)],[])).
% 49.45/32.50 tff(19196,plain,
% 49.45/32.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB135, constB136)) | v101(constB136) | (~v102(constB136)) | (~v1(constB136))),
% 49.45/32.50 inference(modus_ponens,[status(thm)],[19195, 19194])).
% 49.45/32.50 tff(19197,plain,
% 49.45/32.50 (v101(constB136) | (~v102(constB136))),
% 49.45/32.50 inference(unit_resolution,[status(thm)],[19196, 303, 19173, 19193])).
% 49.45/32.50 tff(19198,plain,
% 49.45/32.50 (v101(constB136)),
% 49.45/32.50 inference(unit_resolution,[status(thm)],[19197, 19190])).
% 49.45/32.50 tff(19199,plain,
% 49.45/32.50 (((~![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)))),
% 49.45/32.50 inference(rewrite,[status(thm)],[])).
% 49.45/32.50 tff(19200,plain,
% 49.45/32.50 (((~nextState(constB135, constB136)) | (~v101(constB136)) | (~v110(constB136)) | v100(constB136)) <=> ((~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136)))),
% 49.45/32.50 inference(rewrite,[status(thm)],[])).
% 49.45/32.50 tff(19201,plain,
% 49.45/32.50 (((~![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))))),
% 49.45/32.50 inference(monotonicity,[status(thm)],[19200])).
% 49.45/32.50 tff(19202,plain,
% 49.45/32.50 (((~![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)))),
% 49.45/32.50 inference(transitivity,[status(thm)],[19201, 19199])).
% 49.45/32.50 tff(19203,plain,
% 49.45/32.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB135, constB136)) | (~v101(constB136)) | (~v110(constB136)) | v100(constB136))),
% 49.45/32.50 inference(quant_inst,[status(thm)],[])).
% 49.45/32.50 tff(19204,plain,
% 49.45/32.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136))),
% 49.45/32.50 inference(modus_ponens,[status(thm)],[19203, 19202])).
% 49.45/32.50 tff(19205,plain,
% 49.45/32.50 (v100(constB136) | (~v101(constB136)) | (~v110(constB136))),
% 49.45/32.50 inference(unit_resolution,[status(thm)],[19204, 318, 19173])).
% 49.45/32.50 tff(19206,plain,
% 49.45/32.50 (v100(constB136) | (~v110(constB136))),
% 49.45/32.50 inference(unit_resolution,[status(thm)],[19205, 19198])).
% 49.45/32.50 tff(19207,plain,
% 49.45/32.50 (v100(constB136)),
% 49.45/32.50 inference(unit_resolution,[status(thm)],[19206, 19181])).
% 49.45/32.50 tff(19208,plain,
% 49.45/32.50 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB135, bitIndex2)) | (~v121(constB135)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB135, bitIndex2)) | (~v121(constB135)))),
% 49.45/32.50 inference(rewrite,[status(thm)],[])).
% 49.45/32.50 tff(19209,plain,
% 49.45/32.50 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB135, bitIndex2)) | (~v121(constB135)))),
% 49.45/32.50 inference(quant_inst,[status(thm)],[])).
% 49.45/32.50 tff(19210,plain,
% 49.45/32.50 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB135, bitIndex2)) | (~v121(constB135))),
% 49.45/32.50 inference(modus_ponens,[status(thm)],[19209, 19208])).
% 49.45/32.50 tff(19211,plain,
% 49.45/32.50 (~v121(constB135)),
% 49.45/32.50 inference(unit_resolution,[status(thm)],[19210, 883, 19084])).
% 49.45/32.50 tff(19212,plain,
% 49.45/32.50 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB135, bitIndex2)) | (~v122(constB135)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB135, bitIndex2)) | (~v122(constB135)))),
% 49.45/32.50 inference(rewrite,[status(thm)],[])).
% 49.45/32.50 tff(19213,plain,
% 49.45/32.50 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB135, bitIndex2)) | (~v122(constB135)))),
% 49.45/32.50 inference(quant_inst,[status(thm)],[])).
% 49.45/32.50 tff(19214,plain,
% 49.45/32.50 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB135, bitIndex2)) | (~v122(constB135))),
% 49.45/32.50 inference(modus_ponens,[status(thm)],[19213, 19212])).
% 49.45/32.50 tff(19215,plain,
% 49.45/32.50 (~v122(constB135)),
% 49.45/32.50 inference(unit_resolution,[status(thm)],[19214, 894, 19084])).
% 49.45/32.50 tff(19216,plain,
% 49.45/32.50 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB135, bitIndex1)) | (~v124(constB135)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB135, bitIndex1)) | (~v124(constB135)))),
% 49.45/32.50 inference(rewrite,[status(thm)],[])).
% 49.45/32.50 tff(19217,plain,
% 49.45/32.50 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB135, bitIndex1)) | (~v124(constB135)))),
% 49.45/32.50 inference(quant_inst,[status(thm)],[])).
% 49.45/32.50 tff(19218,plain,
% 49.45/32.50 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB135, bitIndex1)) | (~v124(constB135))),
% 49.45/32.50 inference(modus_ponens,[status(thm)],[19217, 19216])).
% 49.45/32.50 tff(19219,plain,
% 49.45/32.50 (~v124(constB135)),
% 49.45/32.50 inference(unit_resolution,[status(thm)],[19218, 763, 19115])).
% 49.45/32.50 tff(19220,plain,
% 49.45/32.50 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB135, bitIndex1)) | (~v120(constB135)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB135, bitIndex1)) | (~v120(constB135)))),
% 49.45/32.50 inference(rewrite,[status(thm)],[])).
% 49.45/32.50 tff(19221,plain,
% 49.45/32.50 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB135, bitIndex1)) | (~v120(constB135)))),
% 49.45/32.50 inference(quant_inst,[status(thm)],[])).
% 49.45/32.50 tff(19222,plain,
% 49.45/32.50 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB135, bitIndex1)) | (~v120(constB135))),
% 49.45/32.50 inference(modus_ponens,[status(thm)],[19221, 19220])).
% 49.45/32.50 tff(19223,plain,
% 49.45/32.50 (~v120(constB135)),
% 49.45/32.50 inference(unit_resolution,[status(thm)],[19222, 2312, 19115])).
% 49.45/32.50 tff(19224,plain,
% 49.45/32.50 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB135, bitIndex1)) | (~v123(constB135)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB135, bitIndex1)) | (~v123(constB135)))),
% 49.45/32.50 inference(rewrite,[status(thm)],[])).
% 49.45/32.50 tff(19225,plain,
% 49.45/32.50 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB135, bitIndex1)) | (~v123(constB135)))),
% 49.45/32.50 inference(quant_inst,[status(thm)],[])).
% 49.45/32.50 tff(19226,plain,
% 49.45/32.50 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB135, bitIndex1)) | (~v123(constB135))),
% 49.45/32.50 inference(modus_ponens,[status(thm)],[19225, 19224])).
% 49.45/32.50 tff(19227,plain,
% 49.45/32.50 (~v123(constB135)),
% 49.45/32.50 inference(unit_resolution,[status(thm)],[19226, 774, 19115])).
% 49.45/32.50 tff(19228,plain,
% 49.45/32.50 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB135)) | (~v90(constB135, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB135)) | (~v90(constB135, bitIndex1)))),
% 49.45/32.50 inference(rewrite,[status(thm)],[])).
% 49.45/32.50 tff(19229,plain,
% 49.45/32.50 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB135)) | (~v90(constB135, bitIndex1)))),
% 49.45/32.50 inference(quant_inst,[status(thm)],[])).
% 49.45/32.50 tff(19230,plain,
% 49.45/32.50 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB135)) | (~v90(constB135, bitIndex1))),
% 49.45/32.50 inference(modus_ponens,[status(thm)],[19229, 19228])).
% 49.45/32.50 tff(19231,plain,
% 49.45/32.50 (~v119(constB135)),
% 49.45/32.50 inference(unit_resolution,[status(thm)],[19230, 2293, 19115])).
% 49.45/32.50 tff(19232,plain,
% 49.45/32.50 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135) | (~v130(constB135, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135) | (~v130(constB135, bitIndex2)))),
% 49.45/32.50 inference(rewrite,[status(thm)],[])).
% 49.45/32.50 tff(19233,plain,
% 49.45/32.50 ((v120(constB135) | v119(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~v130(constB135, bitIndex2))) <=> (v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135) | (~v130(constB135, bitIndex2)))),
% 49.45/32.50 inference(rewrite,[status(thm)],[])).
% 49.45/32.50 tff(19234,plain,
% 49.45/32.50 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB135) | v119(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~v130(constB135, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135) | (~v130(constB135, bitIndex2))))),
% 49.45/32.50 inference(monotonicity,[status(thm)],[19233])).
% 49.45/32.50 tff(19235,plain,
% 49.45/32.50 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB135) | v119(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~v130(constB135, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135) | (~v130(constB135, bitIndex2)))),
% 49.45/32.50 inference(transitivity,[status(thm)],[19234, 19232])).
% 49.45/32.50 tff(19236,plain,
% 49.45/32.50 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB135) | v119(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~v130(constB135, bitIndex2)))),
% 49.45/32.50 inference(quant_inst,[status(thm)],[])).
% 49.45/32.50 tff(19237,plain,
% 49.45/32.50 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135) | (~v130(constB135, bitIndex2))),
% 49.45/32.50 inference(modus_ponens,[status(thm)],[19236, 19235])).
% 49.45/32.50 tff(19238,plain,
% 49.45/32.50 (~v130(constB135, bitIndex2)),
% 49.45/32.50 inference(unit_resolution,[status(thm)],[19237, 1192, 19231, 19227, 19223, 19219, 19215, 19211])).
% 49.45/32.50 tff(19239,plain,
% 49.45/32.50 (((~![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))),
% 49.45/32.50 inference(rewrite,[status(thm)],[])).
% 49.45/32.50 tff(19240,plain,
% 49.45/32.50 ((v26(constB135) | v130(constB135, bitIndex2) | (~v127(constB135, bitIndex2))) <=> ((~v127(constB135, bitIndex2)) | v26(constB135) | v130(constB135, bitIndex2))),
% 49.45/32.50 inference(rewrite,[status(thm)],[])).
% 49.45/32.50 tff(19241,plain,
% 49.45/32.50 (((~![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)))),
% 49.45/32.50 inference(monotonicity,[status(thm)],[19240])).
% 49.45/32.50 tff(19242,plain,
% 49.45/32.50 (((~![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))),
% 49.45/32.50 inference(transitivity,[status(thm)],[19241, 19239])).
% 49.45/32.50 tff(19243,plain,
% 49.45/32.50 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB135) | v130(constB135, bitIndex2) | (~v127(constB135, bitIndex2)))),
% 49.45/32.50 inference(quant_inst,[status(thm)],[])).
% 49.45/32.50 tff(19244,plain,
% 49.45/32.50 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB135, bitIndex2)) | v26(constB135) | v130(constB135, bitIndex2)),
% 49.45/32.50 inference(modus_ponens,[status(thm)],[19243, 19242])).
% 49.45/32.50 tff(19245,plain,
% 49.45/32.50 ((~v127(constB135, bitIndex2)) | v130(constB135, bitIndex2)),
% 49.45/32.50 inference(unit_resolution,[status(thm)],[19244, 1210, 19161])).
% 49.45/32.50 tff(19246,plain,
% 49.45/32.50 (~v127(constB135, bitIndex2)),
% 49.45/32.50 inference(unit_resolution,[status(thm)],[19245, 19238])).
% 49.45/32.50 tff(19247,plain,
% 49.45/32.50 (((~![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)))),
% 49.45/32.50 inference(rewrite,[status(thm)],[])).
% 49.45/32.50 tff(19248,plain,
% 49.45/32.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB135, constB136)) | v127(constB135, bitIndex2) | (~v129(constB136, bitIndex2)))),
% 49.45/32.50 inference(quant_inst,[status(thm)],[])).
% 49.45/32.50 tff(19249,plain,
% 49.45/32.50 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB135, constB136)) | v127(constB135, bitIndex2) | (~v129(constB136, bitIndex2))),
% 49.45/32.50 inference(modus_ponens,[status(thm)],[19248, 19247])).
% 49.45/32.50 tff(19250,plain,
% 49.45/32.50 (v127(constB135, bitIndex2) | (~v129(constB136, bitIndex2))),
% 49.45/32.50 inference(unit_resolution,[status(thm)],[19249, 1243, 19173])).
% 49.45/32.50 tff(19251,plain,
% 49.45/32.50 (~v129(constB136, bitIndex2)),
% 49.45/32.50 inference(unit_resolution,[status(thm)],[19250, 19246])).
% 49.45/32.50 tff(19252,plain,
% 49.45/32.50 (((~![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)))),
% 49.45/32.50 inference(rewrite,[status(thm)],[])).
% 49.45/32.50 tff(19253,plain,
% 49.45/32.50 (((~v90(constB136, bitIndex2)) | (~v100(constB136)) | v129(constB136, bitIndex2)) <=> ((~v90(constB136, bitIndex2)) | v129(constB136, bitIndex2) | (~v100(constB136)))),
% 49.45/32.50 inference(rewrite,[status(thm)],[])).
% 49.45/32.50 tff(19254,plain,
% 49.45/32.50 (((~![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))))),
% 49.45/32.50 inference(monotonicity,[status(thm)],[19253])).
% 49.45/32.50 tff(19255,plain,
% 49.45/32.50 (((~![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)))),
% 49.45/32.50 inference(transitivity,[status(thm)],[19254, 19252])).
% 49.45/32.50 tff(19256,plain,
% 49.45/32.50 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB136, bitIndex2)) | (~v100(constB136)) | v129(constB136, bitIndex2))),
% 49.45/32.50 inference(quant_inst,[status(thm)],[])).
% 49.45/32.50 tff(19257,plain,
% 49.45/32.50 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB136, bitIndex2)) | v129(constB136, bitIndex2) | (~v100(constB136))),
% 49.45/32.51 inference(modus_ponens,[status(thm)],[19256, 19255])).
% 49.45/32.51 tff(19258,plain,
% 49.45/32.51 ((~v90(constB136, bitIndex2)) | (~v100(constB136))),
% 49.45/32.51 inference(unit_resolution,[status(thm)],[19257, 1258, 19251])).
% 49.45/32.51 tff(19259,plain,
% 49.45/32.51 (~v90(constB136, bitIndex2)),
% 49.45/32.51 inference(unit_resolution,[status(thm)],[19258, 19207])).
% 49.45/32.51 tff(19260,plain,
% 49.45/32.51 ((~v1(constB137)) <=> (~v1(constB137))),
% 49.45/32.51 inference(rewrite,[status(thm)],[])).
% 49.45/32.51 tff(19261,axiom,(~v1(constB137)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_137_1_1')).
% 49.45/32.51 tff(19262,plain,
% 49.45/32.51 (~v1(constB137)),
% 49.45/32.51 inference(modus_ponens,[status(thm)],[19261, 19260])).
% 49.45/32.51 tff(19263,plain,
% 49.45/32.51 (nextState(constB136, constB137) <=> nextState(constB136, constB137)),
% 49.45/32.51 inference(rewrite,[status(thm)],[])).
% 49.45/32.51 tff(19264,axiom,(nextState(constB136, constB137)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_136_1')).
% 49.45/32.51 tff(19265,plain,
% 49.45/32.51 (nextState(constB136, constB137)),
% 49.45/32.51 inference(modus_ponens,[status(thm)],[19264, 19263])).
% 49.45/32.51 tff(19266,plain,
% 49.45/32.51 (((~![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)))),
% 49.45/32.51 inference(rewrite,[status(thm)],[])).
% 49.45/32.51 tff(19267,plain,
% 49.45/32.51 (((~nextState(constB136, constB137)) | (~v101(constB137)) | v1(constB137)) <=> (v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137)))),
% 49.45/32.51 inference(rewrite,[status(thm)],[])).
% 49.45/32.51 tff(19268,plain,
% 49.45/32.51 (((~![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))))),
% 49.45/32.51 inference(monotonicity,[status(thm)],[19267])).
% 49.45/32.51 tff(19269,plain,
% 49.45/32.51 (((~![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)))),
% 49.45/32.51 inference(transitivity,[status(thm)],[19268, 19266])).
% 49.45/32.51 tff(19270,plain,
% 49.45/32.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB136, constB137)) | (~v101(constB137)) | v1(constB137))),
% 49.45/32.51 inference(quant_inst,[status(thm)],[])).
% 49.45/32.51 tff(19271,plain,
% 49.45/32.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137))),
% 49.45/32.51 inference(modus_ponens,[status(thm)],[19270, 19269])).
% 49.45/32.51 tff(19272,plain,
% 49.45/32.51 (~v101(constB137)),
% 49.45/32.51 inference(unit_resolution,[status(thm)],[19271, 49, 19265, 19262])).
% 49.45/32.51 tff(19273,plain,
% 49.45/32.51 (((~![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)))),
% 49.45/32.51 inference(rewrite,[status(thm)],[])).
% 49.45/32.51 tff(19274,plain,
% 49.45/32.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB136, constB137)) | v101(constB137) | (~v100(constB137)))),
% 49.45/32.51 inference(quant_inst,[status(thm)],[])).
% 49.45/32.51 tff(19275,plain,
% 49.45/32.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB136, constB137)) | v101(constB137) | (~v100(constB137))),
% 49.45/32.51 inference(modus_ponens,[status(thm)],[19274, 19273])).
% 49.45/32.51 tff(19276,plain,
% 49.45/32.51 (v101(constB137) | (~v100(constB137))),
% 49.45/32.51 inference(unit_resolution,[status(thm)],[19275, 66, 19265])).
% 49.45/32.51 tff(19277,plain,
% 49.45/32.51 (~v100(constB137)),
% 49.45/32.51 inference(unit_resolution,[status(thm)],[19276, 19272])).
% 49.45/32.51 tff(19278,plain,
% 49.45/32.51 (((~![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)))),
% 49.45/32.51 inference(rewrite,[status(thm)],[])).
% 49.45/32.51 tff(19279,plain,
% 49.45/32.51 (((~nextState(constB136, constB137)) | v90(constB136, bitIndex2) | v100(constB137) | (~v90(constB137, bitIndex2))) <=> (v90(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex2)))),
% 49.45/32.51 inference(rewrite,[status(thm)],[])).
% 49.45/32.51 tff(19280,plain,
% 49.45/32.51 (((~![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))))),
% 49.45/32.51 inference(monotonicity,[status(thm)],[19279])).
% 49.45/32.51 tff(19281,plain,
% 49.45/32.51 (((~![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)))),
% 49.45/32.51 inference(transitivity,[status(thm)],[19280, 19278])).
% 49.45/32.51 tff(19282,plain,
% 49.45/32.51 ((~![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)))),
% 49.45/32.51 inference(quant_inst,[status(thm)],[])).
% 49.45/32.51 tff(19283,plain,
% 49.45/32.51 ((~![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))),
% 49.45/32.51 inference(modus_ponens,[status(thm)],[19282, 19281])).
% 49.45/32.51 tff(19284,plain,
% 49.45/32.51 (v90(constB136, bitIndex2) | v100(constB137) | (~v90(constB137, bitIndex2))),
% 49.45/32.51 inference(unit_resolution,[status(thm)],[19283, 81, 19265])).
% 49.45/32.51 tff(19285,plain,
% 49.45/32.51 (v90(constB136, bitIndex2) | (~v90(constB137, bitIndex2))),
% 49.45/32.51 inference(unit_resolution,[status(thm)],[19284, 19277])).
% 49.45/32.51 tff(19286,plain,
% 49.45/32.51 (~v90(constB137, bitIndex2)),
% 49.45/32.51 inference(unit_resolution,[status(thm)],[19285, 19259])).
% 49.45/32.51 tff(19287,plain,
% 49.45/32.51 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135) | (~v130(constB135, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135) | (~v130(constB135, bitIndex1)))),
% 49.45/32.51 inference(rewrite,[status(thm)],[])).
% 49.45/32.51 tff(19288,plain,
% 49.45/32.51 ((v120(constB135) | v119(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~v130(constB135, bitIndex1))) <=> (v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135) | (~v130(constB135, bitIndex1)))),
% 49.45/32.51 inference(rewrite,[status(thm)],[])).
% 49.45/32.51 tff(19289,plain,
% 49.45/32.51 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB135) | v119(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~v130(constB135, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135) | (~v130(constB135, bitIndex1))))),
% 49.45/32.51 inference(monotonicity,[status(thm)],[19288])).
% 49.45/32.51 tff(19290,plain,
% 49.45/32.51 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB135) | v119(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~v130(constB135, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135) | (~v130(constB135, bitIndex1)))),
% 49.45/32.51 inference(transitivity,[status(thm)],[19289, 19287])).
% 49.45/32.51 tff(19291,plain,
% 49.45/32.51 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB135) | v119(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~v130(constB135, bitIndex1)))),
% 49.45/32.51 inference(quant_inst,[status(thm)],[])).
% 49.45/32.51 tff(19292,plain,
% 49.45/32.51 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB135) | v123(constB135) | v122(constB135) | v121(constB135) | v120(constB135) | v119(constB135) | (~v130(constB135, bitIndex1))),
% 49.45/32.51 inference(modus_ponens,[status(thm)],[19291, 19290])).
% 49.45/32.51 tff(19293,plain,
% 49.45/32.51 (~v130(constB135, bitIndex1)),
% 49.45/32.51 inference(unit_resolution,[status(thm)],[19292, 1143, 19231, 19227, 19223, 19219, 19215, 19211])).
% 49.45/32.51 tff(19294,plain,
% 49.45/32.51 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB135, bitIndex1)) | v26(constB135) | v130(constB135, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB135, bitIndex1)) | v26(constB135) | v130(constB135, bitIndex1))),
% 49.45/32.51 inference(rewrite,[status(thm)],[])).
% 49.45/32.51 tff(19295,plain,
% 49.45/32.51 ((v26(constB135) | v130(constB135, bitIndex1) | (~v127(constB135, bitIndex1))) <=> ((~v127(constB135, bitIndex1)) | v26(constB135) | v130(constB135, bitIndex1))),
% 49.45/32.51 inference(rewrite,[status(thm)],[])).
% 49.45/32.51 tff(19296,plain,
% 49.45/32.51 (((~![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)))) | ((~v127(constB135, bitIndex1)) | v26(constB135) | v130(constB135, bitIndex1)))),
% 49.45/32.51 inference(monotonicity,[status(thm)],[19295])).
% 49.45/32.51 tff(19297,plain,
% 49.45/32.51 (((~![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)))) | (~v127(constB135, bitIndex1)) | v26(constB135) | v130(constB135, bitIndex1))),
% 49.45/32.51 inference(transitivity,[status(thm)],[19296, 19294])).
% 49.45/32.51 tff(19298,plain,
% 49.45/32.51 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB135) | v130(constB135, bitIndex1) | (~v127(constB135, bitIndex1)))),
% 49.45/32.51 inference(quant_inst,[status(thm)],[])).
% 49.45/32.51 tff(19299,plain,
% 49.45/32.51 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB135, bitIndex1)) | v26(constB135) | v130(constB135, bitIndex1)),
% 49.45/32.51 inference(modus_ponens,[status(thm)],[19298, 19297])).
% 49.45/32.51 tff(19300,plain,
% 49.45/32.51 ((~v127(constB135, bitIndex1)) | v130(constB135, bitIndex1)),
% 49.45/32.51 inference(unit_resolution,[status(thm)],[19299, 450, 19161])).
% 49.45/32.51 tff(19301,plain,
% 49.45/32.51 (~v127(constB135, bitIndex1)),
% 49.45/32.51 inference(unit_resolution,[status(thm)],[19300, 19293])).
% 49.45/32.51 tff(19302,plain,
% 49.45/32.51 (((~![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)))),
% 49.45/32.51 inference(rewrite,[status(thm)],[])).
% 49.45/32.51 tff(19303,plain,
% 49.45/32.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB135, constB136)) | v127(constB135, bitIndex1) | (~v129(constB136, bitIndex1)))),
% 49.45/32.51 inference(quant_inst,[status(thm)],[])).
% 49.45/32.51 tff(19304,plain,
% 49.45/32.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB135, constB136)) | v127(constB135, bitIndex1) | (~v129(constB136, bitIndex1))),
% 49.45/32.51 inference(modus_ponens,[status(thm)],[19303, 19302])).
% 49.45/32.51 tff(19305,plain,
% 49.45/32.51 (v127(constB135, bitIndex1) | (~v129(constB136, bitIndex1))),
% 49.45/32.51 inference(unit_resolution,[status(thm)],[19304, 468, 19173])).
% 49.45/32.51 tff(19306,plain,
% 49.45/32.51 (~v129(constB136, bitIndex1)),
% 49.45/32.51 inference(unit_resolution,[status(thm)],[19305, 19301])).
% 49.45/32.51 tff(19307,plain,
% 49.45/32.51 (((~![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)))),
% 49.45/32.51 inference(rewrite,[status(thm)],[])).
% 49.45/32.51 tff(19308,plain,
% 49.45/32.51 (((~v90(constB136, bitIndex1)) | (~v100(constB136)) | v129(constB136, bitIndex1)) <=> ((~v90(constB136, bitIndex1)) | v129(constB136, bitIndex1) | (~v100(constB136)))),
% 49.45/32.51 inference(rewrite,[status(thm)],[])).
% 49.45/32.51 tff(19309,plain,
% 49.45/32.51 (((~![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))))),
% 49.45/32.51 inference(monotonicity,[status(thm)],[19308])).
% 49.45/32.51 tff(19310,plain,
% 49.45/32.51 (((~![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)))),
% 49.45/32.51 inference(transitivity,[status(thm)],[19309, 19307])).
% 49.45/32.51 tff(19311,plain,
% 49.45/32.51 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB136, bitIndex1)) | (~v100(constB136)) | v129(constB136, bitIndex1))),
% 49.45/32.51 inference(quant_inst,[status(thm)],[])).
% 49.45/32.51 tff(19312,plain,
% 49.45/32.51 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB136, bitIndex1)) | v129(constB136, bitIndex1) | (~v100(constB136))),
% 49.45/32.51 inference(modus_ponens,[status(thm)],[19311, 19310])).
% 49.45/32.51 tff(19313,plain,
% 49.45/32.51 ((~v90(constB136, bitIndex1)) | (~v100(constB136))),
% 49.45/32.51 inference(unit_resolution,[status(thm)],[19312, 483, 19306])).
% 49.45/32.51 tff(19314,plain,
% 49.45/32.51 (~v90(constB136, bitIndex1)),
% 49.45/32.51 inference(unit_resolution,[status(thm)],[19313, 19207])).
% 49.45/32.51 tff(19315,plain,
% 49.45/32.51 (((~![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)))),
% 49.45/32.51 inference(rewrite,[status(thm)],[])).
% 49.45/32.51 tff(19316,plain,
% 49.45/32.51 (((~nextState(constB136, constB137)) | v90(constB136, bitIndex1) | v100(constB137) | (~v90(constB137, bitIndex1))) <=> (v90(constB136, bitIndex1) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex1)))),
% 49.45/32.51 inference(rewrite,[status(thm)],[])).
% 49.45/32.51 tff(19317,plain,
% 49.45/32.51 (((~![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))))),
% 49.45/32.51 inference(monotonicity,[status(thm)],[19316])).
% 49.45/32.51 tff(19318,plain,
% 49.45/32.51 (((~![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)))),
% 49.45/32.51 inference(transitivity,[status(thm)],[19317, 19315])).
% 49.45/32.51 tff(19319,plain,
% 49.45/32.51 ((~![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)))),
% 49.45/32.51 inference(quant_inst,[status(thm)],[])).
% 49.45/32.51 tff(19320,plain,
% 49.45/32.51 ((~![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))),
% 49.45/32.51 inference(modus_ponens,[status(thm)],[19319, 19318])).
% 49.45/32.51 tff(19321,plain,
% 49.45/32.51 (v90(constB136, bitIndex1) | v100(constB137) | (~v90(constB137, bitIndex1))),
% 49.45/32.51 inference(unit_resolution,[status(thm)],[19320, 102, 19265])).
% 49.45/32.51 tff(19322,plain,
% 49.45/32.51 (v90(constB136, bitIndex1) | (~v90(constB137, bitIndex1))),
% 49.45/32.51 inference(unit_resolution,[status(thm)],[19321, 19277])).
% 49.45/32.51 tff(19323,plain,
% 49.45/32.51 (~v90(constB137, bitIndex1)),
% 49.45/32.51 inference(unit_resolution,[status(thm)],[19322, 19314])).
% 49.45/32.51 tff(19324,plain,
% 49.45/32.51 (((~![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))),
% 49.45/32.51 inference(rewrite,[status(thm)],[])).
% 49.45/32.51 tff(19325,plain,
% 49.45/32.51 ((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))),
% 49.45/32.51 inference(rewrite,[status(thm)],[])).
% 49.45/32.51 tff(19326,plain,
% 49.45/32.51 (((~![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)))),
% 49.45/32.51 inference(monotonicity,[status(thm)],[19325])).
% 49.45/32.51 tff(19327,plain,
% 49.45/32.51 (((~![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))),
% 49.45/32.51 inference(transitivity,[status(thm)],[19326, 19324])).
% 49.45/32.51 tff(19328,plain,
% 49.45/32.51 ((~![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))),
% 49.45/32.51 inference(quant_inst,[status(thm)],[])).
% 49.45/32.51 tff(19329,plain,
% 49.45/32.51 ((~![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)),
% 49.45/32.51 inference(modus_ponens,[status(thm)],[19328, 19327])).
% 49.45/32.51 tff(19330,plain,
% 49.45/32.51 (v130(constB135, bitIndex0)),
% 49.45/32.51 inference(unit_resolution,[status(thm)],[19329, 908, 19231, 19227, 19223, 19219, 19215, 19211])).
% 49.45/32.51 tff(19331,plain,
% 49.45/32.51 (((~![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))),
% 49.45/32.51 inference(rewrite,[status(thm)],[])).
% 49.45/32.51 tff(19332,plain,
% 49.45/32.51 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB135) | (~v130(constB135, bitIndex0)) | v127(constB135, bitIndex0))),
% 49.45/32.51 inference(quant_inst,[status(thm)],[])).
% 49.45/32.51 tff(19333,plain,
% 49.45/32.51 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB135) | (~v130(constB135, bitIndex0)) | v127(constB135, bitIndex0)),
% 49.45/32.51 inference(modus_ponens,[status(thm)],[19332, 19331])).
% 49.45/32.51 tff(19334,plain,
% 49.45/32.51 ((~v130(constB135, bitIndex0)) | v127(constB135, bitIndex0)),
% 49.45/32.51 inference(unit_resolution,[status(thm)],[19333, 926, 19161])).
% 49.45/32.51 tff(19335,plain,
% 49.45/32.51 (v127(constB135, bitIndex0)),
% 49.45/32.51 inference(unit_resolution,[status(thm)],[19334, 19330])).
% 49.45/32.51 tff(19336,plain,
% 49.45/32.51 (((~![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))),
% 49.45/32.51 inference(rewrite,[status(thm)],[])).
% 49.45/32.51 tff(19337,plain,
% 49.45/32.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB135, constB136)) | (~v127(constB135, bitIndex0)) | v129(constB136, bitIndex0))),
% 49.45/32.51 inference(quant_inst,[status(thm)],[])).
% 49.45/32.51 tff(19338,plain,
% 49.45/32.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB135, constB136)) | (~v127(constB135, bitIndex0)) | v129(constB136, bitIndex0)),
% 49.45/32.51 inference(modus_ponens,[status(thm)],[19337, 19336])).
% 49.45/32.51 tff(19339,plain,
% 49.45/32.51 ((~v127(constB135, bitIndex0)) | v129(constB136, bitIndex0)),
% 49.45/32.51 inference(unit_resolution,[status(thm)],[19338, 944, 19173])).
% 49.45/32.51 tff(19340,plain,
% 49.45/32.51 (v129(constB136, bitIndex0)),
% 49.45/32.51 inference(unit_resolution,[status(thm)],[19339, 19335])).
% 49.45/32.51 tff(19341,plain,
% 49.45/32.51 (((~![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)))),
% 49.45/32.51 inference(rewrite,[status(thm)],[])).
% 49.45/32.51 tff(19342,plain,
% 49.45/32.51 ((v90(constB136, bitIndex0) | (~v100(constB136)) | (~v129(constB136, bitIndex0))) <=> (v90(constB136, bitIndex0) | (~v129(constB136, bitIndex0)) | (~v100(constB136)))),
% 49.45/32.51 inference(rewrite,[status(thm)],[])).
% 49.45/32.51 tff(19343,plain,
% 49.45/32.51 (((~![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))))),
% 49.45/32.51 inference(monotonicity,[status(thm)],[19342])).
% 49.45/32.51 tff(19344,plain,
% 49.45/32.51 (((~![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)))),
% 49.45/32.51 inference(transitivity,[status(thm)],[19343, 19341])).
% 49.45/32.51 tff(19345,plain,
% 49.45/32.51 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB136, bitIndex0) | (~v100(constB136)) | (~v129(constB136, bitIndex0)))),
% 49.45/32.51 inference(quant_inst,[status(thm)],[])).
% 49.45/32.51 tff(19346,plain,
% 49.45/32.51 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB136, bitIndex0) | (~v129(constB136, bitIndex0)) | (~v100(constB136))),
% 49.45/32.51 inference(modus_ponens,[status(thm)],[19345, 19344])).
% 49.45/32.51 tff(19347,plain,
% 49.45/32.51 (v90(constB136, bitIndex0) | (~v100(constB136))),
% 49.45/32.51 inference(unit_resolution,[status(thm)],[19346, 1088, 19340])).
% 49.45/32.51 tff(19348,plain,
% 49.45/32.51 (v90(constB136, bitIndex0)),
% 49.45/32.51 inference(unit_resolution,[status(thm)],[19347, 19207])).
% 49.45/32.51 tff(19349,plain,
% 49.45/32.51 (((~![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))),
% 49.45/32.51 inference(rewrite,[status(thm)],[])).
% 49.45/32.51 tff(19350,plain,
% 49.45/32.51 (((~nextState(constB136, constB137)) | (~v90(constB136, bitIndex0)) | v100(constB137) | v90(constB137, bitIndex0)) <=> ((~v90(constB136, bitIndex0)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, bitIndex0))),
% 49.45/32.51 inference(rewrite,[status(thm)],[])).
% 49.45/32.51 tff(19351,plain,
% 49.45/32.51 (((~![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)))),
% 49.45/32.51 inference(monotonicity,[status(thm)],[19350])).
% 49.45/32.51 tff(19352,plain,
% 49.45/32.51 (((~![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))),
% 49.45/32.51 inference(transitivity,[status(thm)],[19351, 19349])).
% 49.45/32.51 tff(19353,plain,
% 49.45/32.51 ((~![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))),
% 49.45/32.51 inference(quant_inst,[status(thm)],[])).
% 49.45/32.51 tff(19354,plain,
% 49.45/32.51 ((~![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)),
% 49.45/32.51 inference(modus_ponens,[status(thm)],[19353, 19352])).
% 49.45/32.51 tff(19355,plain,
% 49.45/32.51 ((~v90(constB136, bitIndex0)) | v100(constB137) | v90(constB137, bitIndex0)),
% 49.45/32.51 inference(unit_resolution,[status(thm)],[19354, 1124, 19265])).
% 49.45/32.51 tff(19356,plain,
% 49.45/32.51 ((~v90(constB136, bitIndex0)) | v90(constB137, bitIndex0)),
% 49.45/32.51 inference(unit_resolution,[status(thm)],[19355, 19277])).
% 49.45/32.51 tff(19357,plain,
% 49.45/32.51 (v90(constB137, bitIndex0)),
% 49.45/32.51 inference(unit_resolution,[status(thm)],[19356, 19348])).
% 49.45/32.51 tff(19358,plain,
% 49.45/32.51 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB137, bitIndex0)) | v90(constB137, bitIndex1) | v90(constB137, bitIndex2) | v120(constB137))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB137, bitIndex0)) | v90(constB137, bitIndex1) | v90(constB137, bitIndex2) | v120(constB137))),
% 49.45/32.51 inference(rewrite,[status(thm)],[])).
% 49.45/32.51 tff(19359,plain,
% 49.45/32.51 (((~v90(constB137, bitIndex0)) | v120(constB137) | v90(constB137, bitIndex1) | v90(constB137, bitIndex2)) <=> ((~v90(constB137, bitIndex0)) | v90(constB137, bitIndex1) | v90(constB137, bitIndex2) | v120(constB137))),
% 49.45/32.51 inference(rewrite,[status(thm)],[])).
% 49.45/32.51 tff(19360,plain,
% 49.45/32.51 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB137, bitIndex0)) | v120(constB137) | v90(constB137, bitIndex1) | v90(constB137, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB137, bitIndex0)) | v90(constB137, bitIndex1) | v90(constB137, bitIndex2) | v120(constB137)))),
% 49.45/32.52 inference(monotonicity,[status(thm)],[19359])).
% 49.45/32.52 tff(19361,plain,
% 49.45/32.52 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB137, bitIndex0)) | v120(constB137) | v90(constB137, bitIndex1) | v90(constB137, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB137, bitIndex0)) | v90(constB137, bitIndex1) | v90(constB137, bitIndex2) | v120(constB137))),
% 49.45/32.52 inference(transitivity,[status(thm)],[19360, 19358])).
% 49.45/32.52 tff(19362,plain,
% 49.45/32.52 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB137, bitIndex0)) | v120(constB137) | v90(constB137, bitIndex1) | v90(constB137, bitIndex2))),
% 49.45/32.52 inference(quant_inst,[status(thm)],[])).
% 49.45/32.52 tff(19363,plain,
% 49.45/32.52 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB137, bitIndex0)) | v90(constB137, bitIndex1) | v90(constB137, bitIndex2) | v120(constB137)),
% 49.45/32.52 inference(modus_ponens,[status(thm)],[19362, 19361])).
% 49.45/32.52 tff(19364,plain,
% 49.45/32.52 (v120(constB137)),
% 49.45/32.52 inference(unit_resolution,[status(thm)],[19363, 1285, 19357, 19323, 19286])).
% 49.45/32.52 tff(19365,plain,
% 49.45/32.52 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB137) | (~v120(constB137)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB137) | (~v120(constB137)))),
% 49.45/32.52 inference(rewrite,[status(thm)],[])).
% 49.45/32.52 tff(19366,plain,
% 49.45/32.52 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB137) | (~v120(constB137)))),
% 49.45/32.52 inference(quant_inst,[status(thm)],[])).
% 49.45/32.52 tff(19367,plain,
% 49.45/32.52 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB137) | (~v120(constB137))),
% 49.45/32.52 inference(modus_ponens,[status(thm)],[19366, 19365])).
% 49.45/32.52 tff(19368,plain,
% 49.45/32.52 (v118(constB137)),
% 49.45/32.52 inference(unit_resolution,[status(thm)],[19367, 1302, 19364])).
% 49.45/32.52 tff(19369,plain,
% 49.45/32.52 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB137) | (~v118(constB137)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB137) | (~v118(constB137)))),
% 49.45/32.52 inference(rewrite,[status(thm)],[])).
% 49.45/32.52 tff(19370,plain,
% 49.45/32.52 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB137) | (~v118(constB137)))),
% 49.45/32.52 inference(quant_inst,[status(thm)],[])).
% 49.45/32.52 tff(19371,plain,
% 49.45/32.52 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB137) | (~v118(constB137))),
% 49.45/32.52 inference(modus_ponens,[status(thm)],[19370, 19369])).
% 49.45/32.52 tff(19372,plain,
% 49.45/32.52 (v117(constB137)),
% 49.45/32.52 inference(unit_resolution,[status(thm)],[19371, 166, 19368])).
% 49.45/32.52 tff(19373,plain,
% 49.45/32.52 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB137) | (~v117(constB137)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB137) | (~v117(constB137)))),
% 49.45/32.52 inference(rewrite,[status(thm)],[])).
% 49.45/32.52 tff(19374,plain,
% 49.45/32.52 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB137) | (~v117(constB137)))),
% 49.45/32.52 inference(quant_inst,[status(thm)],[])).
% 49.45/32.52 tff(19375,plain,
% 49.45/32.52 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB137) | (~v117(constB137))),
% 49.45/32.52 inference(modus_ponens,[status(thm)],[19374, 19373])).
% 49.45/32.52 tff(19376,plain,
% 49.45/32.52 (v116(constB137)),
% 49.45/32.52 inference(unit_resolution,[status(thm)],[19375, 177, 19372])).
% 49.45/32.52 tff(19377,plain,
% 49.45/32.52 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB137) | (~v116(constB137)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB137) | (~v116(constB137)))),
% 49.45/32.52 inference(rewrite,[status(thm)],[])).
% 49.45/32.52 tff(19378,plain,
% 49.45/32.52 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB137) | (~v116(constB137)))),
% 49.45/32.52 inference(quant_inst,[status(thm)],[])).
% 49.45/32.52 tff(19379,plain,
% 49.45/32.52 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB137) | (~v116(constB137))),
% 49.45/32.52 inference(modus_ponens,[status(thm)],[19378, 19377])).
% 49.45/32.52 tff(19380,plain,
% 49.45/32.52 (v115(constB137)),
% 49.45/32.52 inference(unit_resolution,[status(thm)],[19379, 188, 19376])).
% 49.45/32.52 tff(19381,plain,
% 49.45/32.52 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB137) | (~v115(constB137)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB137) | (~v115(constB137)))),
% 49.45/32.52 inference(rewrite,[status(thm)],[])).
% 49.45/32.52 tff(19382,plain,
% 49.45/32.52 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB137) | (~v115(constB137)))),
% 49.45/32.52 inference(quant_inst,[status(thm)],[])).
% 49.45/32.52 tff(19383,plain,
% 49.45/32.52 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB137) | (~v115(constB137))),
% 49.45/32.52 inference(modus_ponens,[status(thm)],[19382, 19381])).
% 49.45/32.52 tff(19384,plain,
% 49.45/32.52 (v114(constB137)),
% 49.45/32.52 inference(unit_resolution,[status(thm)],[19383, 199, 19380])).
% 49.45/32.52 tff(19385,plain,
% 49.45/32.52 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB137) | (~v114(constB137)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB137) | (~v114(constB137)))),
% 49.45/32.52 inference(rewrite,[status(thm)],[])).
% 49.45/32.52 tff(19386,plain,
% 49.45/32.52 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB137) | (~v114(constB137)))),
% 49.45/32.52 inference(quant_inst,[status(thm)],[])).
% 49.45/32.52 tff(19387,plain,
% 49.45/32.52 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB137) | (~v114(constB137))),
% 49.45/32.52 inference(modus_ponens,[status(thm)],[19386, 19385])).
% 49.45/32.52 tff(19388,plain,
% 49.45/32.52 (v113(constB137)),
% 49.45/32.52 inference(unit_resolution,[status(thm)],[19387, 210, 19384])).
% 49.45/32.52 tff(19389,assumption,(v26(constB137)), introduced(assumption)).
% 49.45/32.52 tff(19390,plain,
% 49.45/32.52 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB137))),
% 49.45/32.52 inference(quant_inst,[status(thm)],[])).
% 49.45/32.52 tff(19391,plain,
% 49.45/32.52 ($false),
% 49.45/32.52 inference(unit_resolution,[status(thm)],[19390, 16, 19389])).
% 49.45/32.52 tff(19392,plain,(~v26(constB137)), inference(lemma,lemma(discharge,[]))).
% 49.45/32.52 tff(19393,plain,
% 49.45/32.52 (((~![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))),
% 49.45/32.52 inference(rewrite,[status(thm)],[])).
% 49.45/32.52 tff(19394,plain,
% 49.45/32.52 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB137) | (~v113(constB137)) | v112(constB137))),
% 49.45/32.52 inference(quant_inst,[status(thm)],[])).
% 49.45/32.52 tff(19395,plain,
% 49.45/32.52 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB137) | (~v113(constB137)) | v112(constB137)),
% 49.45/32.52 inference(modus_ponens,[status(thm)],[19394, 19393])).
% 49.45/32.52 tff(19396,plain,
% 49.45/32.52 ((~v113(constB137)) | v112(constB137)),
% 49.45/32.52 inference(unit_resolution,[status(thm)],[19395, 224, 19392])).
% 49.45/32.52 tff(19397,plain,
% 49.45/32.52 (v112(constB137)),
% 49.45/32.52 inference(unit_resolution,[status(thm)],[19396, 19388])).
% 49.45/32.52 tff(19398,plain,
% 49.45/32.52 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB137) | (~v112(constB137)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB137) | (~v112(constB137)))),
% 49.45/32.52 inference(rewrite,[status(thm)],[])).
% 49.45/32.52 tff(19399,plain,
% 49.45/32.52 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB137) | (~v112(constB137)))),
% 49.45/32.52 inference(quant_inst,[status(thm)],[])).
% 49.45/32.52 tff(19400,plain,
% 49.45/32.52 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB137) | (~v112(constB137))),
% 49.45/32.52 inference(modus_ponens,[status(thm)],[19399, 19398])).
% 49.45/32.52 tff(19401,plain,
% 49.45/32.52 (v108(constB137)),
% 49.45/32.52 inference(unit_resolution,[status(thm)],[19400, 236, 19397])).
% 49.45/32.52 tff(19402,plain,
% 49.45/32.52 (nextState(constB137, constB138) <=> nextState(constB137, constB138)),
% 49.45/32.52 inference(rewrite,[status(thm)],[])).
% 49.45/32.52 tff(19403,axiom,(nextState(constB137, constB138)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_137_1')).
% 49.45/32.52 tff(19404,plain,
% 49.45/32.52 (nextState(constB137, constB138)),
% 49.45/32.52 inference(modus_ponens,[status(thm)],[19403, 19402])).
% 49.45/32.52 tff(19405,plain,
% 49.45/32.52 (((~![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)))),
% 49.45/32.52 inference(rewrite,[status(thm)],[])).
% 49.45/32.52 tff(19406,plain,
% 49.45/32.52 (((~nextState(constB137, constB138)) | (~v108(constB137)) | v110(constB138)) <=> ((~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137)))),
% 49.45/32.52 inference(rewrite,[status(thm)],[])).
% 49.45/32.52 tff(19407,plain,
% 49.45/32.52 (((~![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))))),
% 49.45/32.52 inference(monotonicity,[status(thm)],[19406])).
% 49.45/32.52 tff(19408,plain,
% 49.45/32.52 (((~![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)))),
% 49.45/32.52 inference(transitivity,[status(thm)],[19407, 19405])).
% 49.45/32.52 tff(19409,plain,
% 49.45/32.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB137, constB138)) | (~v108(constB137)) | v110(constB138))),
% 49.45/32.52 inference(quant_inst,[status(thm)],[])).
% 49.45/32.52 tff(19410,plain,
% 49.45/32.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137))),
% 49.45/32.52 inference(modus_ponens,[status(thm)],[19409, 19408])).
% 49.45/32.52 tff(19411,plain,
% 49.45/32.52 (v110(constB138) | (~v108(constB137))),
% 49.45/32.52 inference(unit_resolution,[status(thm)],[19410, 253, 19404])).
% 49.45/32.52 tff(19412,plain,
% 49.45/32.52 (v110(constB138)),
% 49.45/32.52 inference(unit_resolution,[status(thm)],[19411, 19401])).
% 49.45/32.52 tff(19413,plain,
% 49.45/32.52 (((~![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)))),
% 49.45/32.52 inference(rewrite,[status(thm)],[])).
% 49.45/32.52 tff(19414,plain,
% 49.45/32.52 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB137) | (~nextState(constB137, constB138)) | (~v104(constB138)))),
% 49.45/32.52 inference(quant_inst,[status(thm)],[])).
% 49.45/32.52 tff(19415,plain,
% 49.45/32.52 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB137) | (~nextState(constB137, constB138)) | (~v104(constB138))),
% 49.45/32.52 inference(modus_ponens,[status(thm)],[19414, 19413])).
% 49.45/32.52 tff(19416,plain,
% 49.45/32.52 (~v104(constB138)),
% 49.45/32.52 inference(unit_resolution,[status(thm)],[19415, 271, 19404, 19262])).
% 49.45/32.52 tff(19417,plain,
% 49.45/32.52 (((~![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))),
% 49.45/32.52 inference(rewrite,[status(thm)],[])).
% 49.45/32.52 tff(19418,plain,
% 49.45/32.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB137, constB138)) | v102(constB138) | v104(constB138))),
% 49.45/32.52 inference(quant_inst,[status(thm)],[])).
% 49.45/32.52 tff(19419,plain,
% 49.45/32.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB137, constB138)) | v102(constB138) | v104(constB138)),
% 49.45/32.52 inference(modus_ponens,[status(thm)],[19418, 19417])).
% 49.45/32.52 tff(19420,plain,
% 49.45/32.52 (v102(constB138) | v104(constB138)),
% 49.45/32.52 inference(unit_resolution,[status(thm)],[19419, 285, 19404])).
% 49.45/32.52 tff(19421,plain,
% 49.45/32.52 (v102(constB138)),
% 49.45/32.52 inference(unit_resolution,[status(thm)],[19420, 19416])).
% 49.45/32.52 tff(19422,plain,
% 49.45/32.52 (v1(constB138) <=> v1(constB138)),
% 49.45/32.52 inference(rewrite,[status(thm)],[])).
% 49.45/32.52 tff(19423,axiom,(v1(constB138)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_138_1')).
% 49.45/32.52 tff(19424,plain,
% 49.45/32.52 (v1(constB138)),
% 49.45/32.52 inference(modus_ponens,[status(thm)],[19423, 19422])).
% 49.45/32.52 tff(19425,plain,
% 49.45/32.52 (((~![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)))),
% 49.45/32.52 inference(rewrite,[status(thm)],[])).
% 49.45/32.52 tff(19426,plain,
% 49.45/32.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB137, constB138)) | v101(constB138) | (~v102(constB138)) | (~v1(constB138)))),
% 49.45/32.52 inference(quant_inst,[status(thm)],[])).
% 49.45/32.52 tff(19427,plain,
% 49.45/32.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB137, constB138)) | v101(constB138) | (~v102(constB138)) | (~v1(constB138))),
% 49.45/32.52 inference(modus_ponens,[status(thm)],[19426, 19425])).
% 49.45/32.52 tff(19428,plain,
% 49.45/32.52 (v101(constB138) | (~v102(constB138))),
% 49.45/32.52 inference(unit_resolution,[status(thm)],[19427, 303, 19404, 19424])).
% 49.45/32.52 tff(19429,plain,
% 49.45/32.52 (v101(constB138)),
% 49.45/32.52 inference(unit_resolution,[status(thm)],[19428, 19421])).
% 49.45/32.52 tff(19430,plain,
% 49.45/32.52 (((~![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)))),
% 49.45/32.52 inference(rewrite,[status(thm)],[])).
% 49.45/32.52 tff(19431,plain,
% 49.45/32.52 (((~nextState(constB137, constB138)) | (~v101(constB138)) | (~v110(constB138)) | v100(constB138)) <=> ((~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138)))),
% 49.45/32.52 inference(rewrite,[status(thm)],[])).
% 49.45/32.52 tff(19432,plain,
% 49.45/32.52 (((~![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))))),
% 49.45/32.52 inference(monotonicity,[status(thm)],[19431])).
% 49.45/32.52 tff(19433,plain,
% 49.45/32.52 (((~![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)))),
% 49.45/32.52 inference(transitivity,[status(thm)],[19432, 19430])).
% 49.45/32.52 tff(19434,plain,
% 49.45/32.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB137, constB138)) | (~v101(constB138)) | (~v110(constB138)) | v100(constB138))),
% 49.45/32.52 inference(quant_inst,[status(thm)],[])).
% 49.45/32.52 tff(19435,plain,
% 49.45/32.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138))),
% 49.45/32.52 inference(modus_ponens,[status(thm)],[19434, 19433])).
% 49.45/32.52 tff(19436,plain,
% 49.45/32.52 (v100(constB138) | (~v101(constB138)) | (~v110(constB138))),
% 49.45/32.52 inference(unit_resolution,[status(thm)],[19435, 318, 19404])).
% 49.45/32.52 tff(19437,plain,
% 49.45/32.52 (v100(constB138) | (~v110(constB138))),
% 49.45/32.52 inference(unit_resolution,[status(thm)],[19436, 19429])).
% 49.45/32.52 tff(19438,plain,
% 49.45/32.52 (v100(constB138)),
% 49.45/32.52 inference(unit_resolution,[status(thm)],[19437, 19412])).
% 49.45/32.52 tff(19439,plain,
% 49.45/32.52 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB137)) | (~v130(constB137, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB137)) | (~v130(constB137, bitIndex2)))),
% 49.45/32.52 inference(rewrite,[status(thm)],[])).
% 49.45/32.52 tff(19440,plain,
% 49.45/32.52 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB137)) | (~v130(constB137, bitIndex2)))),
% 49.45/32.52 inference(quant_inst,[status(thm)],[])).
% 49.45/32.52 tff(19441,plain,
% 49.45/32.52 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB137)) | (~v130(constB137, bitIndex2))),
% 49.45/32.52 inference(modus_ponens,[status(thm)],[19440, 19439])).
% 49.45/32.52 tff(19442,plain,
% 49.45/32.52 (~v130(constB137, bitIndex2)),
% 49.45/32.52 inference(unit_resolution,[status(thm)],[19441, 1383, 19364])).
% 49.45/32.52 tff(19443,plain,
% 49.45/32.52 (((~![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))),
% 49.45/32.52 inference(rewrite,[status(thm)],[])).
% 49.45/32.52 tff(19444,plain,
% 49.45/32.52 ((v26(constB137) | v130(constB137, bitIndex2) | (~v127(constB137, bitIndex2))) <=> ((~v127(constB137, bitIndex2)) | v26(constB137) | v130(constB137, bitIndex2))),
% 49.45/32.52 inference(rewrite,[status(thm)],[])).
% 49.45/32.52 tff(19445,plain,
% 49.45/32.52 (((~![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)))),
% 49.45/32.52 inference(monotonicity,[status(thm)],[19444])).
% 49.45/32.52 tff(19446,plain,
% 49.45/32.52 (((~![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))),
% 49.45/32.52 inference(transitivity,[status(thm)],[19445, 19443])).
% 49.45/32.52 tff(19447,plain,
% 49.45/32.52 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB137) | v130(constB137, bitIndex2) | (~v127(constB137, bitIndex2)))),
% 49.45/32.52 inference(quant_inst,[status(thm)],[])).
% 49.45/32.52 tff(19448,plain,
% 49.45/32.52 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB137, bitIndex2)) | v26(constB137) | v130(constB137, bitIndex2)),
% 49.45/32.52 inference(modus_ponens,[status(thm)],[19447, 19446])).
% 49.45/32.52 tff(19449,plain,
% 49.45/32.52 ((~v127(constB137, bitIndex2)) | v130(constB137, bitIndex2)),
% 49.45/32.52 inference(unit_resolution,[status(thm)],[19448, 1210, 19392])).
% 49.45/32.52 tff(19450,plain,
% 49.45/32.52 (~v127(constB137, bitIndex2)),
% 49.45/32.52 inference(unit_resolution,[status(thm)],[19449, 19442])).
% 49.45/32.52 tff(19451,plain,
% 49.45/32.52 (((~![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)))),
% 49.45/32.52 inference(rewrite,[status(thm)],[])).
% 49.45/32.52 tff(19452,plain,
% 49.45/32.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB137, constB138)) | v127(constB137, bitIndex2) | (~v129(constB138, bitIndex2)))),
% 49.45/32.52 inference(quant_inst,[status(thm)],[])).
% 49.45/32.52 tff(19453,plain,
% 49.45/32.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB137, constB138)) | v127(constB137, bitIndex2) | (~v129(constB138, bitIndex2))),
% 49.45/32.52 inference(modus_ponens,[status(thm)],[19452, 19451])).
% 49.45/32.52 tff(19454,plain,
% 49.45/32.52 (v127(constB137, bitIndex2) | (~v129(constB138, bitIndex2))),
% 49.45/32.52 inference(unit_resolution,[status(thm)],[19453, 1243, 19404])).
% 49.45/32.52 tff(19455,plain,
% 49.45/32.52 (~v129(constB138, bitIndex2)),
% 49.45/32.52 inference(unit_resolution,[status(thm)],[19454, 19450])).
% 49.45/32.52 tff(19456,plain,
% 49.45/32.52 (((~![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)))),
% 49.45/32.52 inference(rewrite,[status(thm)],[])).
% 49.45/32.52 tff(19457,plain,
% 49.45/32.52 (((~v90(constB138, bitIndex2)) | (~v100(constB138)) | v129(constB138, bitIndex2)) <=> ((~v90(constB138, bitIndex2)) | v129(constB138, bitIndex2) | (~v100(constB138)))),
% 49.45/32.52 inference(rewrite,[status(thm)],[])).
% 49.45/32.52 tff(19458,plain,
% 49.45/32.52 (((~![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))))),
% 49.45/32.52 inference(monotonicity,[status(thm)],[19457])).
% 49.45/32.52 tff(19459,plain,
% 49.45/32.52 (((~![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)))),
% 49.45/32.52 inference(transitivity,[status(thm)],[19458, 19456])).
% 49.45/32.52 tff(19460,plain,
% 49.45/32.52 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB138, bitIndex2)) | (~v100(constB138)) | v129(constB138, bitIndex2))),
% 49.45/32.52 inference(quant_inst,[status(thm)],[])).
% 49.45/32.52 tff(19461,plain,
% 49.45/32.52 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB138, bitIndex2)) | v129(constB138, bitIndex2) | (~v100(constB138))),
% 49.45/32.52 inference(modus_ponens,[status(thm)],[19460, 19459])).
% 49.45/32.52 tff(19462,plain,
% 49.45/32.52 ((~v90(constB138, bitIndex2)) | (~v100(constB138))),
% 49.45/32.52 inference(unit_resolution,[status(thm)],[19461, 1258, 19455])).
% 49.45/32.52 tff(19463,plain,
% 49.45/32.52 (~v90(constB138, bitIndex2)),
% 49.45/32.52 inference(unit_resolution,[status(thm)],[19462, 19438])).
% 49.45/32.52 tff(19464,plain,
% 49.45/32.52 ((~v1(constB139)) <=> (~v1(constB139))),
% 49.45/32.52 inference(rewrite,[status(thm)],[])).
% 49.45/32.52 tff(19465,axiom,(~v1(constB139)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_139_1_1')).
% 49.45/32.52 tff(19466,plain,
% 49.45/32.52 (~v1(constB139)),
% 49.45/32.52 inference(modus_ponens,[status(thm)],[19465, 19464])).
% 49.45/32.52 tff(19467,plain,
% 49.45/32.52 (nextState(constB138, constB139) <=> nextState(constB138, constB139)),
% 49.45/32.52 inference(rewrite,[status(thm)],[])).
% 49.45/32.52 tff(19468,axiom,(nextState(constB138, constB139)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_138_1')).
% 49.45/32.52 tff(19469,plain,
% 49.45/32.52 (nextState(constB138, constB139)),
% 49.45/32.52 inference(modus_ponens,[status(thm)],[19468, 19467])).
% 49.45/32.52 tff(19470,plain,
% 49.45/32.52 (((~![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)))),
% 49.45/32.52 inference(rewrite,[status(thm)],[])).
% 49.45/32.52 tff(19471,plain,
% 49.45/32.52 (((~nextState(constB138, constB139)) | (~v101(constB139)) | v1(constB139)) <=> (v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139)))),
% 49.45/32.52 inference(rewrite,[status(thm)],[])).
% 49.45/32.52 tff(19472,plain,
% 49.45/32.52 (((~![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))))),
% 49.45/32.52 inference(monotonicity,[status(thm)],[19471])).
% 49.45/32.52 tff(19473,plain,
% 49.45/32.52 (((~![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)))),
% 49.45/32.52 inference(transitivity,[status(thm)],[19472, 19470])).
% 49.45/32.52 tff(19474,plain,
% 49.45/32.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB138, constB139)) | (~v101(constB139)) | v1(constB139))),
% 49.45/32.52 inference(quant_inst,[status(thm)],[])).
% 49.45/32.52 tff(19475,plain,
% 49.45/32.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139))),
% 49.45/32.52 inference(modus_ponens,[status(thm)],[19474, 19473])).
% 49.45/32.52 tff(19476,plain,
% 49.45/32.52 (~v101(constB139)),
% 49.45/32.52 inference(unit_resolution,[status(thm)],[19475, 49, 19469, 19466])).
% 49.45/32.52 tff(19477,plain,
% 49.45/32.52 (((~![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)))),
% 49.45/32.52 inference(rewrite,[status(thm)],[])).
% 49.45/32.52 tff(19478,plain,
% 49.45/32.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB138, constB139)) | v101(constB139) | (~v100(constB139)))),
% 49.45/32.52 inference(quant_inst,[status(thm)],[])).
% 49.45/32.52 tff(19479,plain,
% 49.45/32.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB138, constB139)) | v101(constB139) | (~v100(constB139))),
% 49.45/32.52 inference(modus_ponens,[status(thm)],[19478, 19477])).
% 49.45/32.52 tff(19480,plain,
% 49.45/32.52 (v101(constB139) | (~v100(constB139))),
% 49.45/32.52 inference(unit_resolution,[status(thm)],[19479, 66, 19469])).
% 49.45/32.52 tff(19481,plain,
% 49.45/32.52 (~v100(constB139)),
% 49.45/32.52 inference(unit_resolution,[status(thm)],[19480, 19476])).
% 49.45/32.52 tff(19482,plain,
% 49.45/32.52 (((~![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)))),
% 49.45/32.52 inference(rewrite,[status(thm)],[])).
% 49.45/32.52 tff(19483,plain,
% 49.45/32.52 (((~nextState(constB138, constB139)) | v90(constB138, bitIndex2) | v100(constB139) | (~v90(constB139, bitIndex2))) <=> (v90(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex2)))),
% 49.45/32.52 inference(rewrite,[status(thm)],[])).
% 49.45/32.52 tff(19484,plain,
% 49.45/32.52 (((~![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))))),
% 49.45/32.52 inference(monotonicity,[status(thm)],[19483])).
% 49.45/32.52 tff(19485,plain,
% 49.45/32.52 (((~![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)))),
% 49.45/32.52 inference(transitivity,[status(thm)],[19484, 19482])).
% 49.45/32.52 tff(19486,plain,
% 49.45/32.52 ((~![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)))),
% 49.45/32.52 inference(quant_inst,[status(thm)],[])).
% 49.45/32.52 tff(19487,plain,
% 49.45/32.52 ((~![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))),
% 49.45/32.52 inference(modus_ponens,[status(thm)],[19486, 19485])).
% 49.45/32.52 tff(19488,plain,
% 49.45/32.52 (v90(constB138, bitIndex2) | v100(constB139) | (~v90(constB139, bitIndex2))),
% 49.45/32.52 inference(unit_resolution,[status(thm)],[19487, 81, 19469])).
% 49.45/32.52 tff(19489,plain,
% 49.45/32.52 (v90(constB138, bitIndex2) | (~v90(constB139, bitIndex2))),
% 49.45/32.52 inference(unit_resolution,[status(thm)],[19488, 19481])).
% 49.45/32.52 tff(19490,plain,
% 49.45/32.52 (~v90(constB139, bitIndex2)),
% 49.45/32.52 inference(unit_resolution,[status(thm)],[19489, 19463])).
% 49.45/32.52 tff(19491,plain,
% 49.45/32.52 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB137)) | v130(constB137, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB137)) | v130(constB137, bitIndex1))),
% 49.45/32.52 inference(rewrite,[status(thm)],[])).
% 49.45/32.52 tff(19492,plain,
% 49.45/32.52 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB137)) | v130(constB137, bitIndex1))),
% 49.45/32.52 inference(quant_inst,[status(thm)],[])).
% 49.45/32.52 tff(19493,plain,
% 49.45/32.52 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB137)) | v130(constB137, bitIndex1)),
% 49.45/32.52 inference(modus_ponens,[status(thm)],[19492, 19491])).
% 49.45/32.52 tff(19494,plain,
% 49.45/32.52 (v130(constB137, bitIndex1)),
% 49.45/32.52 inference(unit_resolution,[status(thm)],[19493, 1450, 19364])).
% 49.45/32.52 tff(19495,plain,
% 49.45/32.52 (((~![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))),
% 49.45/32.52 inference(rewrite,[status(thm)],[])).
% 49.45/32.52 tff(19496,plain,
% 49.45/32.52 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB137) | (~v130(constB137, bitIndex1)) | v127(constB137, bitIndex1))),
% 49.45/32.52 inference(quant_inst,[status(thm)],[])).
% 49.45/32.52 tff(19497,plain,
% 49.45/32.52 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB137) | (~v130(constB137, bitIndex1)) | v127(constB137, bitIndex1)),
% 49.45/32.52 inference(modus_ponens,[status(thm)],[19496, 19495])).
% 49.45/32.52 tff(19498,plain,
% 49.45/32.52 ((~v130(constB137, bitIndex1)) | v127(constB137, bitIndex1)),
% 49.45/32.52 inference(unit_resolution,[status(thm)],[19497, 681, 19392])).
% 49.45/32.52 tff(19499,plain,
% 49.45/32.52 (v127(constB137, bitIndex1)),
% 49.45/32.52 inference(unit_resolution,[status(thm)],[19498, 19494])).
% 49.45/32.52 tff(19500,plain,
% 49.45/32.52 (((~![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))),
% 49.45/32.52 inference(rewrite,[status(thm)],[])).
% 49.45/32.52 tff(19501,plain,
% 49.45/32.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB137, constB138)) | (~v127(constB137, bitIndex1)) | v129(constB138, bitIndex1))),
% 49.45/32.53 inference(quant_inst,[status(thm)],[])).
% 49.45/32.53 tff(19502,plain,
% 49.45/32.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB137, constB138)) | (~v127(constB137, bitIndex1)) | v129(constB138, bitIndex1)),
% 49.45/32.53 inference(modus_ponens,[status(thm)],[19501, 19500])).
% 49.45/32.53 tff(19503,plain,
% 49.45/32.53 ((~v127(constB137, bitIndex1)) | v129(constB138, bitIndex1)),
% 49.45/32.53 inference(unit_resolution,[status(thm)],[19502, 696, 19404])).
% 49.45/32.53 tff(19504,plain,
% 49.45/32.53 (v129(constB138, bitIndex1)),
% 49.45/32.53 inference(unit_resolution,[status(thm)],[19503, 19499])).
% 49.45/32.53 tff(19505,plain,
% 49.45/32.53 (((~![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)))),
% 49.45/32.53 inference(rewrite,[status(thm)],[])).
% 49.45/32.53 tff(19506,plain,
% 49.45/32.53 ((v90(constB138, bitIndex1) | (~v100(constB138)) | (~v129(constB138, bitIndex1))) <=> (v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1)) | (~v100(constB138)))),
% 49.45/32.53 inference(rewrite,[status(thm)],[])).
% 49.45/32.53 tff(19507,plain,
% 49.45/32.53 (((~![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))))),
% 49.45/32.53 inference(monotonicity,[status(thm)],[19506])).
% 49.45/32.53 tff(19508,plain,
% 49.45/32.53 (((~![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)))),
% 49.45/32.53 inference(transitivity,[status(thm)],[19507, 19505])).
% 49.45/32.53 tff(19509,plain,
% 49.45/32.53 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB138, bitIndex1) | (~v100(constB138)) | (~v129(constB138, bitIndex1)))),
% 49.45/32.53 inference(quant_inst,[status(thm)],[])).
% 49.45/32.53 tff(19510,plain,
% 49.45/32.53 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB138, bitIndex1) | (~v129(constB138, bitIndex1)) | (~v100(constB138))),
% 49.45/32.53 inference(modus_ponens,[status(thm)],[19509, 19508])).
% 49.45/32.53 tff(19511,plain,
% 49.45/32.53 (v90(constB138, bitIndex1) | (~v100(constB138))),
% 49.45/32.53 inference(unit_resolution,[status(thm)],[19510, 711, 19504])).
% 49.45/32.53 tff(19512,plain,
% 49.45/32.53 (v90(constB138, bitIndex1)),
% 49.45/32.53 inference(unit_resolution,[status(thm)],[19511, 19438])).
% 49.45/32.53 tff(19513,plain,
% 49.45/32.53 (((~![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))),
% 49.45/32.53 inference(rewrite,[status(thm)],[])).
% 49.45/32.53 tff(19514,plain,
% 49.45/32.53 (((~nextState(constB138, constB139)) | (~v90(constB138, bitIndex1)) | v100(constB139) | v90(constB139, bitIndex1)) <=> ((~v90(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, bitIndex1))),
% 49.45/32.53 inference(rewrite,[status(thm)],[])).
% 49.45/32.53 tff(19515,plain,
% 49.45/32.53 (((~![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)))),
% 49.45/32.53 inference(monotonicity,[status(thm)],[19514])).
% 49.45/32.53 tff(19516,plain,
% 49.45/32.53 (((~![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))),
% 49.45/32.53 inference(transitivity,[status(thm)],[19515, 19513])).
% 49.45/32.53 tff(19517,plain,
% 49.45/32.53 ((~![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))),
% 49.45/32.53 inference(quant_inst,[status(thm)],[])).
% 49.45/32.53 tff(19518,plain,
% 49.45/32.53 ((~![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)),
% 49.45/32.53 inference(modus_ponens,[status(thm)],[19517, 19516])).
% 49.45/32.53 tff(19519,plain,
% 49.45/32.53 ((~v90(constB138, bitIndex1)) | v100(constB139) | v90(constB139, bitIndex1)),
% 49.45/32.53 inference(unit_resolution,[status(thm)],[19518, 747, 19469])).
% 49.45/32.53 tff(19520,plain,
% 49.45/32.53 ((~v90(constB138, bitIndex1)) | v90(constB139, bitIndex1)),
% 49.45/32.53 inference(unit_resolution,[status(thm)],[19519, 19481])).
% 49.45/32.53 tff(19521,plain,
% 49.45/32.53 (v90(constB139, bitIndex1)),
% 49.45/32.53 inference(unit_resolution,[status(thm)],[19520, 19512])).
% 49.45/32.53 tff(19522,plain,
% 49.45/32.53 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB137)) | (~v130(constB137, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB137)) | (~v130(constB137, bitIndex0)))),
% 49.45/32.53 inference(rewrite,[status(thm)],[])).
% 49.45/32.53 tff(19523,plain,
% 49.45/32.53 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB137)) | (~v130(constB137, bitIndex0)))),
% 49.45/32.53 inference(quant_inst,[status(thm)],[])).
% 49.45/32.53 tff(19524,plain,
% 49.45/32.53 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB137)) | (~v130(constB137, bitIndex0))),
% 49.45/32.53 inference(modus_ponens,[status(thm)],[19523, 19522])).
% 49.45/32.53 tff(19525,plain,
% 49.45/32.53 (~v130(constB137, bitIndex0)),
% 49.45/32.53 inference(unit_resolution,[status(thm)],[19524, 1492, 19364])).
% 49.45/32.53 tff(19526,plain,
% 49.45/32.53 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB137, bitIndex0)) | v26(constB137) | v130(constB137, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB137, bitIndex0)) | v26(constB137) | v130(constB137, bitIndex0))),
% 49.45/32.53 inference(rewrite,[status(thm)],[])).
% 49.45/32.53 tff(19527,plain,
% 49.45/32.53 ((v26(constB137) | v130(constB137, bitIndex0) | (~v127(constB137, bitIndex0))) <=> ((~v127(constB137, bitIndex0)) | v26(constB137) | v130(constB137, bitIndex0))),
% 49.45/32.53 inference(rewrite,[status(thm)],[])).
% 49.45/32.53 tff(19528,plain,
% 49.45/32.53 (((~![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)))) | ((~v127(constB137, bitIndex0)) | v26(constB137) | v130(constB137, bitIndex0)))),
% 49.45/32.53 inference(monotonicity,[status(thm)],[19527])).
% 49.45/32.53 tff(19529,plain,
% 49.45/32.53 (((~![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)))) | (~v127(constB137, bitIndex0)) | v26(constB137) | v130(constB137, bitIndex0))),
% 49.45/32.53 inference(transitivity,[status(thm)],[19528, 19526])).
% 49.45/32.53 tff(19530,plain,
% 49.45/32.53 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB137) | v130(constB137, bitIndex0) | (~v127(constB137, bitIndex0)))),
% 49.45/32.53 inference(quant_inst,[status(thm)],[])).
% 49.45/32.53 tff(19531,plain,
% 49.45/32.53 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB137, bitIndex0)) | v26(constB137) | v130(constB137, bitIndex0)),
% 49.45/32.53 inference(modus_ponens,[status(thm)],[19530, 19529])).
% 49.45/32.53 tff(19532,plain,
% 49.45/32.53 ((~v127(constB137, bitIndex0)) | v130(constB137, bitIndex0)),
% 49.45/32.53 inference(unit_resolution,[status(thm)],[19531, 524, 19392])).
% 49.45/32.53 tff(19533,plain,
% 49.45/32.53 (~v127(constB137, bitIndex0)),
% 49.45/32.53 inference(unit_resolution,[status(thm)],[19532, 19525])).
% 49.45/32.53 tff(19534,plain,
% 49.45/32.53 (((~![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)))),
% 49.45/32.53 inference(rewrite,[status(thm)],[])).
% 49.45/32.53 tff(19535,plain,
% 49.45/32.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB137, constB138)) | v127(constB137, bitIndex0) | (~v129(constB138, bitIndex0)))),
% 49.45/32.53 inference(quant_inst,[status(thm)],[])).
% 49.45/32.53 tff(19536,plain,
% 49.45/32.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB137, constB138)) | v127(constB137, bitIndex0) | (~v129(constB138, bitIndex0))),
% 49.45/32.53 inference(modus_ponens,[status(thm)],[19535, 19534])).
% 49.45/32.53 tff(19537,plain,
% 49.45/32.53 (v127(constB137, bitIndex0) | (~v129(constB138, bitIndex0))),
% 49.45/32.53 inference(unit_resolution,[status(thm)],[19536, 542, 19404])).
% 49.45/32.53 tff(19538,plain,
% 49.45/32.53 (~v129(constB138, bitIndex0)),
% 49.45/32.53 inference(unit_resolution,[status(thm)],[19537, 19533])).
% 49.45/32.53 tff(19539,plain,
% 49.45/32.53 (((~![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)))),
% 49.45/32.53 inference(rewrite,[status(thm)],[])).
% 49.45/32.53 tff(19540,plain,
% 49.45/32.53 (((~v90(constB138, bitIndex0)) | (~v100(constB138)) | v129(constB138, bitIndex0)) <=> ((~v90(constB138, bitIndex0)) | v129(constB138, bitIndex0) | (~v100(constB138)))),
% 49.45/32.53 inference(rewrite,[status(thm)],[])).
% 49.45/32.53 tff(19541,plain,
% 49.45/32.53 (((~![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))))),
% 49.45/32.53 inference(monotonicity,[status(thm)],[19540])).
% 49.45/32.53 tff(19542,plain,
% 49.45/32.53 (((~![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)))),
% 49.45/32.53 inference(transitivity,[status(thm)],[19541, 19539])).
% 49.45/32.53 tff(19543,plain,
% 49.45/32.53 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB138, bitIndex0)) | (~v100(constB138)) | v129(constB138, bitIndex0))),
% 49.45/32.53 inference(quant_inst,[status(thm)],[])).
% 49.45/32.53 tff(19544,plain,
% 49.45/32.53 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB138, bitIndex0)) | v129(constB138, bitIndex0) | (~v100(constB138))),
% 49.45/32.53 inference(modus_ponens,[status(thm)],[19543, 19542])).
% 49.45/32.53 tff(19545,plain,
% 49.45/32.53 ((~v90(constB138, bitIndex0)) | (~v100(constB138))),
% 49.45/32.53 inference(unit_resolution,[status(thm)],[19544, 557, 19538])).
% 49.45/32.53 tff(19546,plain,
% 49.45/32.53 (~v90(constB138, bitIndex0)),
% 49.45/32.53 inference(unit_resolution,[status(thm)],[19545, 19438])).
% 49.45/32.53 tff(19547,plain,
% 49.45/32.53 (((~![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)))),
% 49.45/32.53 inference(rewrite,[status(thm)],[])).
% 49.45/32.53 tff(19548,plain,
% 49.45/32.53 (((~nextState(constB138, constB139)) | v90(constB138, bitIndex0) | v100(constB139) | (~v90(constB139, bitIndex0))) <=> (v90(constB138, bitIndex0) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, bitIndex0)))),
% 49.45/32.53 inference(rewrite,[status(thm)],[])).
% 49.45/32.53 tff(19549,plain,
% 49.45/32.53 (((~![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))))),
% 49.45/32.53 inference(monotonicity,[status(thm)],[19548])).
% 49.45/32.53 tff(19550,plain,
% 49.45/32.53 (((~![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)))),
% 49.45/32.53 inference(transitivity,[status(thm)],[19549, 19547])).
% 49.45/32.53 tff(19551,plain,
% 49.45/32.53 ((~![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)))),
% 49.45/32.53 inference(quant_inst,[status(thm)],[])).
% 49.45/32.53 tff(19552,plain,
% 49.45/32.53 ((~![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))),
% 49.45/32.53 inference(modus_ponens,[status(thm)],[19551, 19550])).
% 49.45/32.53 tff(19553,plain,
% 49.45/32.53 (v90(constB138, bitIndex0) | v100(constB139) | (~v90(constB139, bitIndex0))),
% 49.45/32.53 inference(unit_resolution,[status(thm)],[19552, 123, 19469])).
% 49.45/32.53 tff(19554,plain,
% 49.45/32.53 (v90(constB138, bitIndex0) | (~v90(constB139, bitIndex0))),
% 49.45/32.53 inference(unit_resolution,[status(thm)],[19553, 19481])).
% 49.45/32.53 tff(19555,plain,
% 49.45/32.53 (~v90(constB139, bitIndex0)),
% 49.45/32.53 inference(unit_resolution,[status(thm)],[19554, 19546])).
% 49.45/32.53 tff(19556,plain,
% 49.45/32.53 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB139, bitIndex0) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex2) | v121(constB139))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB139, bitIndex0) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex2) | v121(constB139))),
% 49.45/32.53 inference(rewrite,[status(thm)],[])).
% 49.45/32.53 tff(19557,plain,
% 49.45/32.53 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB139, bitIndex0) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex2) | v121(constB139))),
% 49.45/32.53 inference(quant_inst,[status(thm)],[])).
% 49.45/32.53 tff(19558,plain,
% 49.45/32.53 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB139, bitIndex0) | (~v90(constB139, bitIndex1)) | v90(constB139, bitIndex2) | v121(constB139)),
% 49.45/32.53 inference(modus_ponens,[status(thm)],[19557, 19556])).
% 49.45/32.53 tff(19559,plain,
% 49.45/32.53 (v121(constB139)),
% 49.45/32.53 inference(unit_resolution,[status(thm)],[19558, 1551, 19555, 19521, 19490])).
% 49.45/32.53 tff(19560,plain,
% 49.45/32.53 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB139) | (~v121(constB139)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB139) | (~v121(constB139)))),
% 49.45/32.53 inference(rewrite,[status(thm)],[])).
% 49.45/32.53 tff(19561,plain,
% 49.45/32.53 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB139) | (~v121(constB139)))),
% 49.45/32.53 inference(quant_inst,[status(thm)],[])).
% 49.45/32.53 tff(19562,plain,
% 49.45/32.53 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB139) | (~v121(constB139))),
% 49.45/32.53 inference(modus_ponens,[status(thm)],[19561, 19560])).
% 49.45/32.53 tff(19563,plain,
% 49.45/32.53 (v117(constB139)),
% 49.45/32.53 inference(unit_resolution,[status(thm)],[19562, 1562, 19559])).
% 49.45/32.53 tff(19564,plain,
% 49.45/32.53 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB139) | (~v117(constB139)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB139) | (~v117(constB139)))),
% 49.45/32.53 inference(rewrite,[status(thm)],[])).
% 49.45/32.53 tff(19565,plain,
% 49.45/32.53 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB139) | (~v117(constB139)))),
% 49.45/32.53 inference(quant_inst,[status(thm)],[])).
% 49.45/32.53 tff(19566,plain,
% 49.45/32.53 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB139) | (~v117(constB139))),
% 49.45/32.53 inference(modus_ponens,[status(thm)],[19565, 19564])).
% 49.45/32.53 tff(19567,plain,
% 49.45/32.53 (v116(constB139)),
% 49.45/32.53 inference(unit_resolution,[status(thm)],[19566, 177, 19563])).
% 49.45/32.53 tff(19568,plain,
% 49.45/32.53 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB139) | (~v116(constB139)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB139) | (~v116(constB139)))),
% 49.45/32.53 inference(rewrite,[status(thm)],[])).
% 49.45/32.53 tff(19569,plain,
% 49.45/32.53 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB139) | (~v116(constB139)))),
% 49.45/32.53 inference(quant_inst,[status(thm)],[])).
% 49.45/32.53 tff(19570,plain,
% 49.45/32.53 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB139) | (~v116(constB139))),
% 49.45/32.53 inference(modus_ponens,[status(thm)],[19569, 19568])).
% 49.45/32.53 tff(19571,plain,
% 49.45/32.53 (v115(constB139)),
% 49.45/32.53 inference(unit_resolution,[status(thm)],[19570, 188, 19567])).
% 49.45/32.53 tff(19572,plain,
% 49.45/32.53 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB139) | (~v115(constB139)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB139) | (~v115(constB139)))),
% 49.45/32.53 inference(rewrite,[status(thm)],[])).
% 49.45/32.53 tff(19573,plain,
% 49.45/32.53 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB139) | (~v115(constB139)))),
% 49.45/32.53 inference(quant_inst,[status(thm)],[])).
% 49.45/32.53 tff(19574,plain,
% 49.45/32.53 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB139) | (~v115(constB139))),
% 49.45/32.53 inference(modus_ponens,[status(thm)],[19573, 19572])).
% 49.45/32.53 tff(19575,plain,
% 49.45/32.53 (v114(constB139)),
% 49.45/32.53 inference(unit_resolution,[status(thm)],[19574, 199, 19571])).
% 49.45/32.53 tff(19576,plain,
% 49.45/32.53 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB139) | (~v114(constB139)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB139) | (~v114(constB139)))),
% 49.45/32.53 inference(rewrite,[status(thm)],[])).
% 49.45/32.53 tff(19577,plain,
% 49.45/32.53 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB139) | (~v114(constB139)))),
% 49.45/32.53 inference(quant_inst,[status(thm)],[])).
% 49.45/32.53 tff(19578,plain,
% 49.45/32.53 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB139) | (~v114(constB139))),
% 49.45/32.53 inference(modus_ponens,[status(thm)],[19577, 19576])).
% 49.45/32.53 tff(19579,plain,
% 49.45/32.53 (v113(constB139)),
% 49.45/32.53 inference(unit_resolution,[status(thm)],[19578, 210, 19575])).
% 49.45/32.53 tff(19580,assumption,(~v108(constB139)), introduced(assumption)).
% 49.45/32.53 tff(19581,plain,
% 49.45/32.53 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB139) | (~v112(constB139)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB139) | (~v112(constB139)))),
% 49.45/32.53 inference(rewrite,[status(thm)],[])).
% 49.45/32.53 tff(19582,plain,
% 49.45/32.53 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB139) | (~v112(constB139)))),
% 49.45/32.53 inference(quant_inst,[status(thm)],[])).
% 49.45/32.53 tff(19583,plain,
% 49.45/32.53 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB139) | (~v112(constB139))),
% 49.45/32.53 inference(modus_ponens,[status(thm)],[19582, 19581])).
% 49.45/32.53 tff(19584,plain,
% 49.45/32.53 (~v112(constB139)),
% 49.45/32.53 inference(unit_resolution,[status(thm)],[19583, 236, 19580])).
% 49.45/32.53 tff(19585,plain,
% 49.45/32.53 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB139) | (~v26(constB139)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB139) | (~v26(constB139)))),
% 49.45/32.53 inference(rewrite,[status(thm)],[])).
% 49.45/32.53 tff(19586,plain,
% 49.45/32.53 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB139) | (~v26(constB139)))),
% 49.45/32.53 inference(quant_inst,[status(thm)],[])).
% 49.45/32.53 tff(19587,plain,
% 49.45/32.53 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB139) | (~v26(constB139))),
% 49.45/32.53 inference(modus_ponens,[status(thm)],[19586, 19585])).
% 49.45/32.53 tff(19588,plain,
% 49.45/32.53 (~v26(constB139)),
% 49.45/32.53 inference(unit_resolution,[status(thm)],[19587, 961, 19580])).
% 49.45/32.53 tff(19589,assumption,(v113(constB139)), introduced(assumption)).
% 49.45/32.53 tff(19590,plain,
% 49.45/32.53 (((~![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)))),
% 49.45/32.53 inference(rewrite,[status(thm)],[])).
% 49.45/32.53 tff(19591,plain,
% 49.45/32.53 ((v26(constB139) | (~v113(constB139)) | v112(constB139)) <=> (v26(constB139) | v112(constB139) | (~v113(constB139)))),
% 49.45/32.53 inference(rewrite,[status(thm)],[])).
% 49.45/32.53 tff(19592,plain,
% 49.45/32.53 (((~![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))))),
% 49.45/32.53 inference(monotonicity,[status(thm)],[19591])).
% 49.45/32.53 tff(19593,plain,
% 49.45/32.53 (((~![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)))),
% 49.45/32.53 inference(transitivity,[status(thm)],[19592, 19590])).
% 49.45/32.53 tff(19594,plain,
% 49.45/32.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | (~v113(constB139)) | v112(constB139))),
% 49.45/32.53 inference(quant_inst,[status(thm)],[])).
% 49.45/32.53 tff(19595,plain,
% 49.45/32.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB139) | v112(constB139) | (~v113(constB139))),
% 49.45/32.53 inference(modus_ponens,[status(thm)],[19594, 19593])).
% 49.45/32.53 tff(19596,plain,
% 49.45/32.53 (v26(constB139) | v112(constB139)),
% 49.45/32.53 inference(unit_resolution,[status(thm)],[19595, 224, 19589])).
% 49.45/32.53 tff(19597,plain,
% 49.45/32.53 ($false),
% 49.45/32.53 inference(unit_resolution,[status(thm)],[19596, 19588, 19584])).
% 49.45/32.53 tff(19598,plain,(v108(constB139) | (~v113(constB139))), inference(lemma,lemma(discharge,[]))).
% 49.45/32.53 tff(19599,plain,
% 49.45/32.53 (v108(constB139)),
% 49.45/32.53 inference(unit_resolution,[status(thm)],[19598, 19579])).
% 49.45/32.53 tff(19600,plain,
% 49.45/32.53 (nextState(constB139, constB140) <=> nextState(constB139, constB140)),
% 49.45/32.53 inference(rewrite,[status(thm)],[])).
% 49.45/32.53 tff(19601,axiom,(nextState(constB139, constB140)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_139_1')).
% 49.45/32.53 tff(19602,plain,
% 49.45/32.53 (nextState(constB139, constB140)),
% 49.45/32.53 inference(modus_ponens,[status(thm)],[19601, 19600])).
% 49.45/32.53 tff(19603,plain,
% 49.45/32.53 (((~![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)))),
% 49.45/32.53 inference(rewrite,[status(thm)],[])).
% 49.45/32.53 tff(19604,plain,
% 49.45/32.53 (((~nextState(constB139, constB140)) | (~v108(constB139)) | v110(constB140)) <=> ((~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139)))),
% 49.45/32.53 inference(rewrite,[status(thm)],[])).
% 49.45/32.53 tff(19605,plain,
% 49.45/32.53 (((~![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))))),
% 49.45/32.53 inference(monotonicity,[status(thm)],[19604])).
% 49.45/32.53 tff(19606,plain,
% 49.45/32.53 (((~![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)))),
% 49.45/32.53 inference(transitivity,[status(thm)],[19605, 19603])).
% 49.45/32.53 tff(19607,plain,
% 49.45/32.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB139, constB140)) | (~v108(constB139)) | v110(constB140))),
% 49.45/32.53 inference(quant_inst,[status(thm)],[])).
% 49.45/32.53 tff(19608,plain,
% 49.45/32.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139))),
% 49.45/32.53 inference(modus_ponens,[status(thm)],[19607, 19606])).
% 49.45/32.53 tff(19609,plain,
% 49.45/32.53 (v110(constB140) | (~v108(constB139))),
% 49.45/32.53 inference(unit_resolution,[status(thm)],[19608, 253, 19602])).
% 49.45/32.53 tff(19610,plain,
% 49.45/32.53 (v110(constB140)),
% 49.45/32.53 inference(unit_resolution,[status(thm)],[19609, 19599])).
% 49.45/32.53 tff(19611,plain,
% 49.45/32.53 (((~![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)))),
% 49.45/32.53 inference(rewrite,[status(thm)],[])).
% 49.45/32.53 tff(19612,plain,
% 49.45/32.53 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB139) | (~nextState(constB139, constB140)) | (~v104(constB140)))),
% 49.45/32.53 inference(quant_inst,[status(thm)],[])).
% 49.45/32.53 tff(19613,plain,
% 49.45/32.53 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB139) | (~nextState(constB139, constB140)) | (~v104(constB140))),
% 49.45/32.53 inference(modus_ponens,[status(thm)],[19612, 19611])).
% 49.45/32.53 tff(19614,plain,
% 49.45/32.53 (~v104(constB140)),
% 49.45/32.53 inference(unit_resolution,[status(thm)],[19613, 271, 19602, 19466])).
% 49.45/32.53 tff(19615,plain,
% 49.45/32.53 (((~![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))),
% 49.45/32.53 inference(rewrite,[status(thm)],[])).
% 49.45/32.53 tff(19616,plain,
% 49.45/32.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB139, constB140)) | v102(constB140) | v104(constB140))),
% 49.45/32.53 inference(quant_inst,[status(thm)],[])).
% 49.45/32.53 tff(19617,plain,
% 49.45/32.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB139, constB140)) | v102(constB140) | v104(constB140)),
% 49.45/32.53 inference(modus_ponens,[status(thm)],[19616, 19615])).
% 49.45/32.53 tff(19618,plain,
% 49.45/32.53 (v102(constB140) | v104(constB140)),
% 49.45/32.53 inference(unit_resolution,[status(thm)],[19617, 285, 19602])).
% 49.45/32.53 tff(19619,plain,
% 49.45/32.53 (v102(constB140)),
% 49.45/32.53 inference(unit_resolution,[status(thm)],[19618, 19614])).
% 49.45/32.53 tff(19620,plain,
% 49.45/32.53 (v1(constB140) <=> v1(constB140)),
% 49.45/32.53 inference(rewrite,[status(thm)],[])).
% 49.45/32.53 tff(19621,axiom,(v1(constB140)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_140_1')).
% 49.45/32.53 tff(19622,plain,
% 49.45/32.53 (v1(constB140)),
% 49.45/32.53 inference(modus_ponens,[status(thm)],[19621, 19620])).
% 49.45/32.53 tff(19623,plain,
% 49.45/32.53 (((~![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)))),
% 49.45/32.53 inference(rewrite,[status(thm)],[])).
% 49.45/32.53 tff(19624,plain,
% 49.45/32.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB139, constB140)) | v101(constB140) | (~v102(constB140)) | (~v1(constB140)))),
% 49.45/32.53 inference(quant_inst,[status(thm)],[])).
% 49.45/32.53 tff(19625,plain,
% 49.45/32.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB139, constB140)) | v101(constB140) | (~v102(constB140)) | (~v1(constB140))),
% 49.45/32.53 inference(modus_ponens,[status(thm)],[19624, 19623])).
% 49.45/32.53 tff(19626,plain,
% 49.45/32.53 (v101(constB140) | (~v102(constB140))),
% 49.45/32.53 inference(unit_resolution,[status(thm)],[19625, 303, 19602, 19622])).
% 49.45/32.53 tff(19627,plain,
% 49.45/32.53 (v101(constB140)),
% 49.45/32.53 inference(unit_resolution,[status(thm)],[19626, 19619])).
% 49.45/32.53 tff(19628,plain,
% 49.45/32.53 (((~![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)))),
% 49.45/32.53 inference(rewrite,[status(thm)],[])).
% 49.45/32.53 tff(19629,plain,
% 49.45/32.53 (((~nextState(constB139, constB140)) | (~v101(constB140)) | (~v110(constB140)) | v100(constB140)) <=> ((~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140)))),
% 49.45/32.53 inference(rewrite,[status(thm)],[])).
% 49.45/32.53 tff(19630,plain,
% 49.45/32.53 (((~![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))))),
% 49.45/32.53 inference(monotonicity,[status(thm)],[19629])).
% 49.45/32.53 tff(19631,plain,
% 49.45/32.53 (((~![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)))),
% 49.45/32.53 inference(transitivity,[status(thm)],[19630, 19628])).
% 49.45/32.53 tff(19632,plain,
% 49.45/32.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB139, constB140)) | (~v101(constB140)) | (~v110(constB140)) | v100(constB140))),
% 49.45/32.53 inference(quant_inst,[status(thm)],[])).
% 49.45/32.53 tff(19633,plain,
% 49.45/32.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140))),
% 49.45/32.53 inference(modus_ponens,[status(thm)],[19632, 19631])).
% 49.45/32.53 tff(19634,plain,
% 49.45/32.53 (v100(constB140) | (~v101(constB140)) | (~v110(constB140))),
% 49.45/32.53 inference(unit_resolution,[status(thm)],[19633, 318, 19602])).
% 49.45/32.53 tff(19635,plain,
% 49.45/32.53 (v100(constB140) | (~v110(constB140))),
% 49.45/32.53 inference(unit_resolution,[status(thm)],[19634, 19627])).
% 49.45/32.53 tff(19636,plain,
% 49.45/32.53 (v100(constB140)),
% 49.45/32.53 inference(unit_resolution,[status(thm)],[19635, 19610])).
% 49.45/32.53 tff(19637,plain,
% 49.45/32.53 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB139)) | (~v130(constB139, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB139)) | (~v130(constB139, bitIndex2)))),
% 49.45/32.53 inference(rewrite,[status(thm)],[])).
% 49.45/32.53 tff(19638,plain,
% 49.45/32.53 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB139)) | (~v130(constB139, bitIndex2)))),
% 49.45/32.53 inference(quant_inst,[status(thm)],[])).
% 49.45/32.53 tff(19639,plain,
% 49.45/32.53 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB139)) | (~v130(constB139, bitIndex2))),
% 49.45/32.53 inference(modus_ponens,[status(thm)],[19638, 19637])).
% 49.45/32.53 tff(19640,plain,
% 49.45/32.53 (~v130(constB139, bitIndex2)),
% 49.45/32.53 inference(unit_resolution,[status(thm)],[19639, 1645, 19559])).
% 49.45/32.53 tff(19641,assumption,(v26(constB139)), introduced(assumption)).
% 49.45/32.53 tff(19642,plain,
% 49.45/32.53 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB139))),
% 49.45/32.53 inference(quant_inst,[status(thm)],[])).
% 49.45/32.53 tff(19643,plain,
% 49.45/32.53 ($false),
% 49.45/32.53 inference(unit_resolution,[status(thm)],[19642, 16, 19641])).
% 49.45/32.53 tff(19644,plain,(~v26(constB139)), inference(lemma,lemma(discharge,[]))).
% 49.45/32.53 tff(19645,plain,
% 49.45/32.53 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB139, bitIndex2)) | v26(constB139) | v130(constB139, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB139, bitIndex2)) | v26(constB139) | v130(constB139, bitIndex2))),
% 49.45/32.53 inference(rewrite,[status(thm)],[])).
% 49.45/32.53 tff(19646,plain,
% 49.45/32.53 ((v26(constB139) | v130(constB139, bitIndex2) | (~v127(constB139, bitIndex2))) <=> ((~v127(constB139, bitIndex2)) | v26(constB139) | v130(constB139, bitIndex2))),
% 49.45/32.53 inference(rewrite,[status(thm)],[])).
% 49.45/32.53 tff(19647,plain,
% 49.45/32.53 (((~![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)))) | ((~v127(constB139, bitIndex2)) | v26(constB139) | v130(constB139, bitIndex2)))),
% 49.45/32.53 inference(monotonicity,[status(thm)],[19646])).
% 49.45/32.53 tff(19648,plain,
% 49.45/32.53 (((~![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)))) | (~v127(constB139, bitIndex2)) | v26(constB139) | v130(constB139, bitIndex2))),
% 49.45/32.53 inference(transitivity,[status(thm)],[19647, 19645])).
% 49.45/32.53 tff(19649,plain,
% 49.45/32.53 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB139) | v130(constB139, bitIndex2) | (~v127(constB139, bitIndex2)))),
% 49.45/32.53 inference(quant_inst,[status(thm)],[])).
% 49.45/32.53 tff(19650,plain,
% 49.45/32.53 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB139, bitIndex2)) | v26(constB139) | v130(constB139, bitIndex2)),
% 49.45/32.54 inference(modus_ponens,[status(thm)],[19649, 19648])).
% 49.45/32.54 tff(19651,plain,
% 49.45/32.54 ((~v127(constB139, bitIndex2)) | v130(constB139, bitIndex2)),
% 49.45/32.54 inference(unit_resolution,[status(thm)],[19650, 1210, 19644])).
% 49.45/32.54 tff(19652,plain,
% 49.45/32.54 (~v127(constB139, bitIndex2)),
% 49.45/32.54 inference(unit_resolution,[status(thm)],[19651, 19640])).
% 49.45/32.54 tff(19653,plain,
% 49.45/32.54 (((~![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)))),
% 49.45/32.54 inference(rewrite,[status(thm)],[])).
% 49.45/32.54 tff(19654,plain,
% 49.45/32.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB139, constB140)) | v127(constB139, bitIndex2) | (~v129(constB140, bitIndex2)))),
% 49.45/32.54 inference(quant_inst,[status(thm)],[])).
% 49.45/32.54 tff(19655,plain,
% 49.45/32.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB139, constB140)) | v127(constB139, bitIndex2) | (~v129(constB140, bitIndex2))),
% 49.45/32.54 inference(modus_ponens,[status(thm)],[19654, 19653])).
% 49.45/32.54 tff(19656,plain,
% 49.45/32.54 (v127(constB139, bitIndex2) | (~v129(constB140, bitIndex2))),
% 49.45/32.54 inference(unit_resolution,[status(thm)],[19655, 1243, 19602])).
% 49.45/32.54 tff(19657,plain,
% 49.45/32.54 (~v129(constB140, bitIndex2)),
% 49.45/32.54 inference(unit_resolution,[status(thm)],[19656, 19652])).
% 49.45/32.54 tff(19658,plain,
% 49.45/32.54 (((~![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)))),
% 49.45/32.54 inference(rewrite,[status(thm)],[])).
% 49.45/32.54 tff(19659,plain,
% 49.45/32.54 (((~v90(constB140, bitIndex2)) | (~v100(constB140)) | v129(constB140, bitIndex2)) <=> ((~v90(constB140, bitIndex2)) | v129(constB140, bitIndex2) | (~v100(constB140)))),
% 49.45/32.54 inference(rewrite,[status(thm)],[])).
% 49.45/32.54 tff(19660,plain,
% 49.45/32.54 (((~![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))))),
% 49.45/32.54 inference(monotonicity,[status(thm)],[19659])).
% 49.45/32.54 tff(19661,plain,
% 49.45/32.54 (((~![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)))),
% 49.45/32.54 inference(transitivity,[status(thm)],[19660, 19658])).
% 49.45/32.54 tff(19662,plain,
% 49.45/32.54 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB140, bitIndex2)) | (~v100(constB140)) | v129(constB140, bitIndex2))),
% 49.45/32.54 inference(quant_inst,[status(thm)],[])).
% 49.45/32.54 tff(19663,plain,
% 49.45/32.54 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB140, bitIndex2)) | v129(constB140, bitIndex2) | (~v100(constB140))),
% 49.45/32.54 inference(modus_ponens,[status(thm)],[19662, 19661])).
% 49.45/32.54 tff(19664,plain,
% 49.45/32.54 ((~v90(constB140, bitIndex2)) | (~v100(constB140))),
% 49.45/32.54 inference(unit_resolution,[status(thm)],[19663, 1258, 19657])).
% 49.45/32.54 tff(19665,plain,
% 49.45/32.54 (~v90(constB140, bitIndex2)),
% 49.45/32.54 inference(unit_resolution,[status(thm)],[19664, 19636])).
% 49.45/32.54 tff(19666,plain,
% 49.45/32.54 ((~v1(constB141)) <=> (~v1(constB141))),
% 49.45/32.54 inference(rewrite,[status(thm)],[])).
% 49.45/32.54 tff(19667,axiom,(~v1(constB141)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_141_1_1')).
% 49.45/32.54 tff(19668,plain,
% 49.45/32.54 (~v1(constB141)),
% 49.45/32.54 inference(modus_ponens,[status(thm)],[19667, 19666])).
% 49.45/32.54 tff(19669,plain,
% 49.45/32.54 (nextState(constB140, constB141) <=> nextState(constB140, constB141)),
% 49.45/32.54 inference(rewrite,[status(thm)],[])).
% 49.45/32.54 tff(19670,axiom,(nextState(constB140, constB141)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_140_1')).
% 49.45/32.54 tff(19671,plain,
% 49.45/32.54 (nextState(constB140, constB141)),
% 49.45/32.54 inference(modus_ponens,[status(thm)],[19670, 19669])).
% 49.45/32.54 tff(19672,plain,
% 49.45/32.54 (((~![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)))),
% 49.45/32.54 inference(rewrite,[status(thm)],[])).
% 49.45/32.54 tff(19673,plain,
% 49.45/32.54 (((~nextState(constB140, constB141)) | (~v101(constB141)) | v1(constB141)) <=> (v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141)))),
% 49.45/32.54 inference(rewrite,[status(thm)],[])).
% 49.45/32.54 tff(19674,plain,
% 49.45/32.54 (((~![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))))),
% 49.45/32.54 inference(monotonicity,[status(thm)],[19673])).
% 49.45/32.54 tff(19675,plain,
% 49.45/32.54 (((~![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)))),
% 49.45/32.54 inference(transitivity,[status(thm)],[19674, 19672])).
% 49.45/32.54 tff(19676,plain,
% 49.45/32.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB140, constB141)) | (~v101(constB141)) | v1(constB141))),
% 49.45/32.54 inference(quant_inst,[status(thm)],[])).
% 49.45/32.54 tff(19677,plain,
% 49.45/32.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141))),
% 49.45/32.54 inference(modus_ponens,[status(thm)],[19676, 19675])).
% 49.45/32.54 tff(19678,plain,
% 49.45/32.54 (~v101(constB141)),
% 49.45/32.54 inference(unit_resolution,[status(thm)],[19677, 49, 19671, 19668])).
% 49.45/32.54 tff(19679,plain,
% 49.45/32.54 (((~![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)))),
% 49.45/32.54 inference(rewrite,[status(thm)],[])).
% 49.45/32.54 tff(19680,plain,
% 49.45/32.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB140, constB141)) | v101(constB141) | (~v100(constB141)))),
% 49.45/32.54 inference(quant_inst,[status(thm)],[])).
% 49.45/32.54 tff(19681,plain,
% 49.45/32.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB140, constB141)) | v101(constB141) | (~v100(constB141))),
% 49.45/32.54 inference(modus_ponens,[status(thm)],[19680, 19679])).
% 49.45/32.54 tff(19682,plain,
% 49.45/32.54 (v101(constB141) | (~v100(constB141))),
% 49.45/32.54 inference(unit_resolution,[status(thm)],[19681, 66, 19671])).
% 49.45/32.54 tff(19683,plain,
% 49.45/32.54 (~v100(constB141)),
% 49.45/32.54 inference(unit_resolution,[status(thm)],[19682, 19678])).
% 49.45/32.54 tff(19684,plain,
% 49.45/32.54 (((~![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)))),
% 49.45/32.54 inference(rewrite,[status(thm)],[])).
% 49.45/32.54 tff(19685,plain,
% 49.45/32.54 (((~nextState(constB140, constB141)) | v90(constB140, bitIndex2) | v100(constB141) | (~v90(constB141, bitIndex2))) <=> (v90(constB140, bitIndex2) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, bitIndex2)))),
% 49.45/32.54 inference(rewrite,[status(thm)],[])).
% 49.45/32.54 tff(19686,plain,
% 49.45/32.54 (((~![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))))),
% 49.45/32.54 inference(monotonicity,[status(thm)],[19685])).
% 49.45/32.54 tff(19687,plain,
% 49.45/32.54 (((~![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)))),
% 49.45/32.54 inference(transitivity,[status(thm)],[19686, 19684])).
% 49.45/32.54 tff(19688,plain,
% 49.45/32.54 ((~![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)))),
% 49.45/32.54 inference(quant_inst,[status(thm)],[])).
% 49.45/32.54 tff(19689,plain,
% 49.45/32.54 ((~![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))),
% 49.45/32.54 inference(modus_ponens,[status(thm)],[19688, 19687])).
% 49.45/32.54 tff(19690,plain,
% 49.45/32.54 (v90(constB140, bitIndex2) | v100(constB141) | (~v90(constB141, bitIndex2))),
% 49.45/32.54 inference(unit_resolution,[status(thm)],[19689, 81, 19671])).
% 49.45/32.54 tff(19691,plain,
% 49.45/32.54 (v90(constB140, bitIndex2) | (~v90(constB141, bitIndex2))),
% 49.45/32.54 inference(unit_resolution,[status(thm)],[19690, 19683])).
% 49.45/32.54 tff(19692,plain,
% 49.45/32.54 (~v90(constB141, bitIndex2)),
% 49.45/32.54 inference(unit_resolution,[status(thm)],[19691, 19665])).
% 49.45/32.54 tff(19693,plain,
% 49.45/32.54 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB139)) | v130(constB139, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB139)) | v130(constB139, bitIndex1))),
% 49.45/32.54 inference(rewrite,[status(thm)],[])).
% 49.45/32.54 tff(19694,plain,
% 49.45/32.54 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB139)) | v130(constB139, bitIndex1))),
% 49.45/32.54 inference(quant_inst,[status(thm)],[])).
% 49.45/32.54 tff(19695,plain,
% 49.45/32.54 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB139)) | v130(constB139, bitIndex1)),
% 49.45/32.54 inference(modus_ponens,[status(thm)],[19694, 19693])).
% 49.45/32.54 tff(19696,plain,
% 49.45/32.54 (v130(constB139, bitIndex1)),
% 49.45/32.54 inference(unit_resolution,[status(thm)],[19695, 1707, 19559])).
% 49.45/32.54 tff(19697,plain,
% 49.45/32.54 (((~![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))) | v26(constB139) | (~v130(constB139, bitIndex1)) | v127(constB139, bitIndex1))),
% 49.45/32.54 inference(rewrite,[status(thm)],[])).
% 49.45/32.54 tff(19698,plain,
% 49.45/32.54 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB139) | (~v130(constB139, bitIndex1)) | v127(constB139, bitIndex1))),
% 49.45/32.54 inference(quant_inst,[status(thm)],[])).
% 49.45/32.54 tff(19699,plain,
% 49.45/32.54 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB139) | (~v130(constB139, bitIndex1)) | v127(constB139, bitIndex1)),
% 49.45/32.54 inference(modus_ponens,[status(thm)],[19698, 19697])).
% 49.45/32.54 tff(19700,plain,
% 49.45/32.54 ((~v130(constB139, bitIndex1)) | v127(constB139, bitIndex1)),
% 49.45/32.54 inference(unit_resolution,[status(thm)],[19699, 681, 19644])).
% 49.45/32.54 tff(19701,plain,
% 49.45/32.54 (v127(constB139, bitIndex1)),
% 49.45/32.54 inference(unit_resolution,[status(thm)],[19700, 19696])).
% 49.45/32.54 tff(19702,plain,
% 49.45/32.54 (((~![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))),
% 49.45/32.54 inference(rewrite,[status(thm)],[])).
% 49.45/32.54 tff(19703,plain,
% 49.45/32.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB139, constB140)) | (~v127(constB139, bitIndex1)) | v129(constB140, bitIndex1))),
% 49.45/32.54 inference(quant_inst,[status(thm)],[])).
% 49.45/32.54 tff(19704,plain,
% 49.45/32.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB139, constB140)) | (~v127(constB139, bitIndex1)) | v129(constB140, bitIndex1)),
% 49.45/32.54 inference(modus_ponens,[status(thm)],[19703, 19702])).
% 49.45/32.54 tff(19705,plain,
% 49.45/32.54 ((~v127(constB139, bitIndex1)) | v129(constB140, bitIndex1)),
% 49.45/32.54 inference(unit_resolution,[status(thm)],[19704, 696, 19602])).
% 49.45/32.54 tff(19706,plain,
% 49.45/32.54 (v129(constB140, bitIndex1)),
% 49.45/32.54 inference(unit_resolution,[status(thm)],[19705, 19701])).
% 49.45/32.54 tff(19707,plain,
% 49.45/32.54 (((~![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)))),
% 49.45/32.54 inference(rewrite,[status(thm)],[])).
% 49.45/32.54 tff(19708,plain,
% 49.45/32.54 ((v90(constB140, bitIndex1) | (~v100(constB140)) | (~v129(constB140, bitIndex1))) <=> (v90(constB140, bitIndex1) | (~v129(constB140, bitIndex1)) | (~v100(constB140)))),
% 49.45/32.54 inference(rewrite,[status(thm)],[])).
% 49.45/32.54 tff(19709,plain,
% 49.45/32.54 (((~![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))))),
% 49.45/32.54 inference(monotonicity,[status(thm)],[19708])).
% 49.45/32.54 tff(19710,plain,
% 49.45/32.54 (((~![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)))),
% 49.45/32.54 inference(transitivity,[status(thm)],[19709, 19707])).
% 49.45/32.54 tff(19711,plain,
% 49.45/32.54 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB140, bitIndex1) | (~v100(constB140)) | (~v129(constB140, bitIndex1)))),
% 49.45/32.54 inference(quant_inst,[status(thm)],[])).
% 49.45/32.54 tff(19712,plain,
% 49.45/32.54 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB140, bitIndex1) | (~v129(constB140, bitIndex1)) | (~v100(constB140))),
% 49.45/32.54 inference(modus_ponens,[status(thm)],[19711, 19710])).
% 49.45/32.54 tff(19713,plain,
% 49.45/32.54 (v90(constB140, bitIndex1) | (~v100(constB140))),
% 49.45/32.54 inference(unit_resolution,[status(thm)],[19712, 711, 19706])).
% 49.45/32.54 tff(19714,plain,
% 49.45/32.54 (v90(constB140, bitIndex1)),
% 49.45/32.54 inference(unit_resolution,[status(thm)],[19713, 19636])).
% 49.45/32.54 tff(19715,plain,
% 49.45/32.54 (((~![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))),
% 49.45/32.54 inference(rewrite,[status(thm)],[])).
% 49.45/32.54 tff(19716,plain,
% 49.45/32.54 (((~nextState(constB140, constB141)) | (~v90(constB140, bitIndex1)) | v100(constB141) | v90(constB141, bitIndex1)) <=> ((~v90(constB140, bitIndex1)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex1))),
% 49.45/32.54 inference(rewrite,[status(thm)],[])).
% 49.45/32.54 tff(19717,plain,
% 49.45/32.54 (((~![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)))),
% 49.45/32.54 inference(monotonicity,[status(thm)],[19716])).
% 49.45/32.54 tff(19718,plain,
% 49.45/32.54 (((~![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))),
% 49.45/32.54 inference(transitivity,[status(thm)],[19717, 19715])).
% 49.45/32.54 tff(19719,plain,
% 49.45/32.54 ((~![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))),
% 49.45/32.54 inference(quant_inst,[status(thm)],[])).
% 49.45/32.54 tff(19720,plain,
% 49.45/32.54 ((~![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)),
% 49.45/32.54 inference(modus_ponens,[status(thm)],[19719, 19718])).
% 49.45/32.54 tff(19721,plain,
% 49.45/32.54 ((~v90(constB140, bitIndex1)) | v100(constB141) | v90(constB141, bitIndex1)),
% 49.45/32.54 inference(unit_resolution,[status(thm)],[19720, 747, 19671])).
% 49.45/32.54 tff(19722,plain,
% 49.45/32.54 ((~v90(constB140, bitIndex1)) | v90(constB141, bitIndex1)),
% 49.45/32.54 inference(unit_resolution,[status(thm)],[19721, 19683])).
% 49.45/32.54 tff(19723,plain,
% 49.45/32.54 (v90(constB141, bitIndex1)),
% 49.45/32.54 inference(unit_resolution,[status(thm)],[19722, 19714])).
% 49.45/32.54 tff(19724,plain,
% 49.45/32.54 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB139)) | v130(constB139, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB139)) | v130(constB139, bitIndex0))),
% 49.45/32.54 inference(rewrite,[status(thm)],[])).
% 49.45/32.54 tff(19725,plain,
% 49.45/32.54 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB139)) | v130(constB139, bitIndex0))),
% 49.45/32.54 inference(quant_inst,[status(thm)],[])).
% 49.45/32.54 tff(19726,plain,
% 49.45/32.54 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB139)) | v130(constB139, bitIndex0)),
% 49.45/32.54 inference(modus_ponens,[status(thm)],[19725, 19724])).
% 49.45/32.54 tff(19727,plain,
% 49.45/32.54 (v130(constB139, bitIndex0)),
% 49.45/32.54 inference(unit_resolution,[status(thm)],[19726, 1748, 19559])).
% 49.45/32.54 tff(19728,plain,
% 49.45/32.54 (((~![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))) | v26(constB139) | (~v130(constB139, bitIndex0)) | v127(constB139, bitIndex0))),
% 49.45/32.54 inference(rewrite,[status(thm)],[])).
% 49.45/32.54 tff(19729,plain,
% 49.45/32.54 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB139) | (~v130(constB139, bitIndex0)) | v127(constB139, bitIndex0))),
% 49.45/32.54 inference(quant_inst,[status(thm)],[])).
% 49.45/32.54 tff(19730,plain,
% 49.45/32.54 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB139) | (~v130(constB139, bitIndex0)) | v127(constB139, bitIndex0)),
% 49.45/32.54 inference(modus_ponens,[status(thm)],[19729, 19728])).
% 49.45/32.54 tff(19731,plain,
% 49.45/32.54 ((~v130(constB139, bitIndex0)) | v127(constB139, bitIndex0)),
% 49.45/32.54 inference(unit_resolution,[status(thm)],[19730, 926, 19644])).
% 49.45/32.54 tff(19732,plain,
% 49.45/32.54 (v127(constB139, bitIndex0)),
% 49.45/32.54 inference(unit_resolution,[status(thm)],[19731, 19727])).
% 49.45/32.54 tff(19733,plain,
% 49.45/32.54 (((~![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))),
% 49.45/32.54 inference(rewrite,[status(thm)],[])).
% 49.45/32.54 tff(19734,plain,
% 49.45/32.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB139, constB140)) | (~v127(constB139, bitIndex0)) | v129(constB140, bitIndex0))),
% 49.45/32.54 inference(quant_inst,[status(thm)],[])).
% 49.45/32.54 tff(19735,plain,
% 49.45/32.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB139, constB140)) | (~v127(constB139, bitIndex0)) | v129(constB140, bitIndex0)),
% 49.45/32.54 inference(modus_ponens,[status(thm)],[19734, 19733])).
% 49.45/32.54 tff(19736,plain,
% 49.45/32.54 ((~v127(constB139, bitIndex0)) | v129(constB140, bitIndex0)),
% 49.45/32.54 inference(unit_resolution,[status(thm)],[19735, 944, 19602])).
% 49.45/32.54 tff(19737,plain,
% 49.45/32.54 (v129(constB140, bitIndex0)),
% 49.45/32.54 inference(unit_resolution,[status(thm)],[19736, 19732])).
% 49.45/32.54 tff(19738,plain,
% 49.45/32.54 (((~![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)))),
% 49.45/32.54 inference(rewrite,[status(thm)],[])).
% 49.45/32.54 tff(19739,plain,
% 49.45/32.54 ((v90(constB140, bitIndex0) | (~v100(constB140)) | (~v129(constB140, bitIndex0))) <=> (v90(constB140, bitIndex0) | (~v129(constB140, bitIndex0)) | (~v100(constB140)))),
% 49.45/32.54 inference(rewrite,[status(thm)],[])).
% 49.45/32.54 tff(19740,plain,
% 49.45/32.54 (((~![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))))),
% 49.45/32.54 inference(monotonicity,[status(thm)],[19739])).
% 49.45/32.54 tff(19741,plain,
% 49.45/32.54 (((~![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)))),
% 49.45/32.54 inference(transitivity,[status(thm)],[19740, 19738])).
% 49.45/32.54 tff(19742,plain,
% 49.45/32.54 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB140, bitIndex0) | (~v100(constB140)) | (~v129(constB140, bitIndex0)))),
% 49.45/32.54 inference(quant_inst,[status(thm)],[])).
% 49.45/32.54 tff(19743,plain,
% 49.45/32.54 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB140, bitIndex0) | (~v129(constB140, bitIndex0)) | (~v100(constB140))),
% 49.45/32.54 inference(modus_ponens,[status(thm)],[19742, 19741])).
% 49.45/32.54 tff(19744,plain,
% 49.45/32.54 (v90(constB140, bitIndex0) | (~v100(constB140))),
% 49.45/32.54 inference(unit_resolution,[status(thm)],[19743, 1088, 19737])).
% 49.45/32.54 tff(19745,plain,
% 49.45/32.54 (v90(constB140, bitIndex0)),
% 49.45/32.54 inference(unit_resolution,[status(thm)],[19744, 19636])).
% 49.45/32.54 tff(19746,plain,
% 49.45/32.54 (((~![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))),
% 49.45/32.54 inference(rewrite,[status(thm)],[])).
% 49.45/32.54 tff(19747,plain,
% 49.45/32.54 (((~nextState(constB140, constB141)) | (~v90(constB140, bitIndex0)) | v100(constB141) | v90(constB141, bitIndex0)) <=> ((~v90(constB140, bitIndex0)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, bitIndex0))),
% 49.45/32.54 inference(rewrite,[status(thm)],[])).
% 49.45/32.54 tff(19748,plain,
% 49.45/32.54 (((~![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)))),
% 49.45/32.54 inference(monotonicity,[status(thm)],[19747])).
% 49.45/32.54 tff(19749,plain,
% 49.45/32.54 (((~![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))),
% 49.45/32.54 inference(transitivity,[status(thm)],[19748, 19746])).
% 49.45/32.54 tff(19750,plain,
% 49.45/32.54 ((~![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))),
% 49.45/32.54 inference(quant_inst,[status(thm)],[])).
% 49.45/32.54 tff(19751,plain,
% 49.45/32.54 ((~![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)),
% 49.45/32.54 inference(modus_ponens,[status(thm)],[19750, 19749])).
% 49.45/32.54 tff(19752,plain,
% 49.45/32.54 ((~v90(constB140, bitIndex0)) | v100(constB141) | v90(constB141, bitIndex0)),
% 49.45/32.54 inference(unit_resolution,[status(thm)],[19751, 1124, 19671])).
% 49.45/32.54 tff(19753,plain,
% 49.45/32.54 ((~v90(constB140, bitIndex0)) | v90(constB141, bitIndex0)),
% 49.45/32.54 inference(unit_resolution,[status(thm)],[19752, 19683])).
% 49.45/32.54 tff(19754,plain,
% 49.45/32.54 (v90(constB141, bitIndex0)),
% 49.45/32.54 inference(unit_resolution,[status(thm)],[19753, 19745])).
% 49.45/32.54 tff(19755,plain,
% 49.45/32.54 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB141, bitIndex0)) | (~v90(constB141, bitIndex1)) | v90(constB141, bitIndex2) | v122(constB141))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB141, bitIndex0)) | (~v90(constB141, bitIndex1)) | v90(constB141, bitIndex2) | v122(constB141))),
% 49.45/32.54 inference(rewrite,[status(thm)],[])).
% 49.45/32.54 tff(19756,plain,
% 49.45/32.54 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB141, bitIndex0)) | (~v90(constB141, bitIndex1)) | v90(constB141, bitIndex2) | v122(constB141))),
% 49.45/32.54 inference(quant_inst,[status(thm)],[])).
% 49.45/32.54 tff(19757,plain,
% 49.45/32.54 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB141, bitIndex0)) | (~v90(constB141, bitIndex1)) | v90(constB141, bitIndex2) | v122(constB141)),
% 49.45/32.54 inference(modus_ponens,[status(thm)],[19756, 19755])).
% 49.45/32.54 tff(19758,plain,
% 49.45/32.54 (v122(constB141)),
% 49.45/32.54 inference(unit_resolution,[status(thm)],[19757, 1789, 19754, 19723, 19692])).
% 49.45/32.54 tff(19759,assumption,(v122(constB141)), introduced(assumption)).
% 49.45/32.54 tff(19760,plain,
% 49.45/32.54 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB141) | (~v122(constB141)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB141) | (~v122(constB141)))),
% 49.45/32.54 inference(rewrite,[status(thm)],[])).
% 49.45/32.54 tff(19761,plain,
% 49.45/32.54 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB141) | (~v122(constB141)))),
% 49.45/32.54 inference(quant_inst,[status(thm)],[])).
% 49.45/32.54 tff(19762,plain,
% 49.45/32.54 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB141) | (~v122(constB141))),
% 49.45/32.54 inference(modus_ponens,[status(thm)],[19761, 19760])).
% 49.45/32.54 tff(19763,plain,
% 49.45/32.54 (v116(constB141)),
% 49.45/32.54 inference(unit_resolution,[status(thm)],[19762, 1800, 19759])).
% 49.45/32.54 tff(19764,plain,
% 49.45/32.54 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB141) | (~v116(constB141)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB141) | (~v116(constB141)))),
% 49.45/32.54 inference(rewrite,[status(thm)],[])).
% 49.45/32.54 tff(19765,plain,
% 49.45/32.54 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB141) | (~v116(constB141)))),
% 49.45/32.54 inference(quant_inst,[status(thm)],[])).
% 49.45/32.54 tff(19766,plain,
% 49.45/32.54 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB141) | (~v116(constB141))),
% 49.45/32.54 inference(modus_ponens,[status(thm)],[19765, 19764])).
% 49.45/32.54 tff(19767,plain,
% 49.45/32.54 (v115(constB141)),
% 49.45/32.54 inference(unit_resolution,[status(thm)],[19766, 188, 19763])).
% 49.45/32.54 tff(19768,plain,
% 49.45/32.54 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB141) | (~v115(constB141)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB141) | (~v115(constB141)))),
% 49.45/32.54 inference(rewrite,[status(thm)],[])).
% 49.45/32.54 tff(19769,plain,
% 49.45/32.54 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB141) | (~v115(constB141)))),
% 49.45/32.54 inference(quant_inst,[status(thm)],[])).
% 49.45/32.54 tff(19770,plain,
% 49.45/32.54 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB141) | (~v115(constB141))),
% 49.45/32.54 inference(modus_ponens,[status(thm)],[19769, 19768])).
% 49.45/32.54 tff(19771,plain,
% 49.45/32.54 (v114(constB141)),
% 49.45/32.54 inference(unit_resolution,[status(thm)],[19770, 199, 19767])).
% 49.45/32.54 tff(19772,plain,
% 49.45/32.54 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB141) | (~v114(constB141)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB141) | (~v114(constB141)))),
% 49.45/32.54 inference(rewrite,[status(thm)],[])).
% 49.45/32.54 tff(19773,plain,
% 49.45/32.54 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB141) | (~v114(constB141)))),
% 49.45/32.54 inference(quant_inst,[status(thm)],[])).
% 49.45/32.54 tff(19774,plain,
% 49.45/32.54 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB141) | (~v114(constB141))),
% 49.45/32.55 inference(modus_ponens,[status(thm)],[19773, 19772])).
% 49.45/32.55 tff(19775,plain,
% 49.45/32.55 (v113(constB141)),
% 49.45/32.55 inference(unit_resolution,[status(thm)],[19774, 210, 19771])).
% 49.45/32.55 tff(19776,assumption,(v26(constB141)), introduced(assumption)).
% 49.45/32.55 tff(19777,plain,
% 49.45/32.55 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB141))),
% 49.45/32.55 inference(quant_inst,[status(thm)],[])).
% 49.45/32.55 tff(19778,plain,
% 49.45/32.55 ($false),
% 49.45/32.55 inference(unit_resolution,[status(thm)],[19777, 16, 19776])).
% 49.45/32.55 tff(19779,plain,(~v26(constB141)), inference(lemma,lemma(discharge,[]))).
% 49.45/32.55 tff(19780,plain,
% 49.45/32.55 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB141) | v112(constB141) | (~v113(constB141)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB141) | v112(constB141) | (~v113(constB141)))),
% 49.45/32.55 inference(rewrite,[status(thm)],[])).
% 49.45/32.55 tff(19781,plain,
% 49.45/32.55 ((v26(constB141) | (~v113(constB141)) | v112(constB141)) <=> (v26(constB141) | v112(constB141) | (~v113(constB141)))),
% 49.45/32.55 inference(rewrite,[status(thm)],[])).
% 49.45/32.55 tff(19782,plain,
% 49.45/32.55 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB141) | (~v113(constB141)) | v112(constB141))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB141) | v112(constB141) | (~v113(constB141))))),
% 49.45/32.55 inference(monotonicity,[status(thm)],[19781])).
% 49.45/32.55 tff(19783,plain,
% 49.45/32.55 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB141) | (~v113(constB141)) | v112(constB141))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB141) | v112(constB141) | (~v113(constB141)))),
% 49.45/32.55 inference(transitivity,[status(thm)],[19782, 19780])).
% 49.45/32.55 tff(19784,plain,
% 49.45/32.55 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB141) | (~v113(constB141)) | v112(constB141))),
% 49.45/32.55 inference(quant_inst,[status(thm)],[])).
% 49.45/32.55 tff(19785,plain,
% 49.45/32.55 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB141) | v112(constB141) | (~v113(constB141))),
% 49.45/32.55 inference(modus_ponens,[status(thm)],[19784, 19783])).
% 49.45/32.55 tff(19786,plain,
% 49.45/32.55 (v112(constB141) | (~v113(constB141))),
% 49.45/32.55 inference(unit_resolution,[status(thm)],[19785, 224, 19779])).
% 49.45/32.55 tff(19787,plain,
% 49.45/32.55 (v112(constB141)),
% 49.45/32.55 inference(unit_resolution,[status(thm)],[19786, 19775])).
% 49.45/32.55 tff(19788,plain,
% 49.45/32.55 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB141) | (~v112(constB141)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB141) | (~v112(constB141)))),
% 49.45/32.55 inference(rewrite,[status(thm)],[])).
% 49.45/32.55 tff(19789,plain,
% 49.45/32.55 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB141) | (~v112(constB141)))),
% 49.45/32.55 inference(quant_inst,[status(thm)],[])).
% 49.45/32.55 tff(19790,plain,
% 49.45/32.55 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB141) | (~v112(constB141))),
% 49.45/32.55 inference(modus_ponens,[status(thm)],[19789, 19788])).
% 49.45/32.55 tff(19791,plain,
% 49.45/32.55 (v108(constB141)),
% 49.45/32.55 inference(unit_resolution,[status(thm)],[19790, 236, 19787])).
% 49.45/32.55 tff(19792,plain,
% 49.45/32.55 (nextState(constB141, constB142) <=> nextState(constB141, constB142)),
% 49.45/32.55 inference(rewrite,[status(thm)],[])).
% 49.45/32.55 tff(19793,axiom,(nextState(constB141, constB142)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_141_1')).
% 49.45/32.55 tff(19794,plain,
% 49.45/32.55 (nextState(constB141, constB142)),
% 49.45/32.55 inference(modus_ponens,[status(thm)],[19793, 19792])).
% 49.45/32.55 tff(19795,plain,
% 49.45/32.55 (((~![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)))),
% 49.45/32.55 inference(rewrite,[status(thm)],[])).
% 49.45/32.55 tff(19796,plain,
% 49.45/32.55 (((~nextState(constB141, constB142)) | (~v108(constB141)) | v110(constB142)) <=> ((~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141)))),
% 49.45/32.55 inference(rewrite,[status(thm)],[])).
% 49.45/32.55 tff(19797,plain,
% 49.45/32.55 (((~![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))))),
% 49.45/32.55 inference(monotonicity,[status(thm)],[19796])).
% 49.45/32.55 tff(19798,plain,
% 49.45/32.55 (((~![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)))),
% 49.45/32.55 inference(transitivity,[status(thm)],[19797, 19795])).
% 49.45/32.55 tff(19799,plain,
% 49.45/32.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB141, constB142)) | (~v108(constB141)) | v110(constB142))),
% 49.45/32.55 inference(quant_inst,[status(thm)],[])).
% 49.45/32.55 tff(19800,plain,
% 49.45/32.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141))),
% 49.45/32.55 inference(modus_ponens,[status(thm)],[19799, 19798])).
% 49.45/32.55 tff(19801,plain,
% 49.45/32.55 (v110(constB142) | (~v108(constB141))),
% 49.45/32.55 inference(unit_resolution,[status(thm)],[19800, 253, 19794])).
% 49.45/32.55 tff(19802,plain,
% 49.45/32.55 (v110(constB142)),
% 49.45/32.55 inference(unit_resolution,[status(thm)],[19801, 19791])).
% 49.45/32.55 tff(19803,plain,
% 49.45/32.55 (((~![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)))),
% 49.45/32.55 inference(rewrite,[status(thm)],[])).
% 49.45/32.55 tff(19804,plain,
% 49.45/32.55 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB141) | (~nextState(constB141, constB142)) | (~v104(constB142)))),
% 49.45/32.55 inference(quant_inst,[status(thm)],[])).
% 49.45/32.55 tff(19805,plain,
% 49.45/32.55 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB141) | (~nextState(constB141, constB142)) | (~v104(constB142))),
% 49.45/32.55 inference(modus_ponens,[status(thm)],[19804, 19803])).
% 49.45/32.55 tff(19806,plain,
% 49.45/32.55 (~v104(constB142)),
% 49.45/32.55 inference(unit_resolution,[status(thm)],[19805, 271, 19794, 19668])).
% 49.45/32.55 tff(19807,plain,
% 49.45/32.55 (((~![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))),
% 49.45/32.55 inference(rewrite,[status(thm)],[])).
% 49.45/32.55 tff(19808,plain,
% 49.45/32.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB141, constB142)) | v102(constB142) | v104(constB142))),
% 49.45/32.55 inference(quant_inst,[status(thm)],[])).
% 49.45/32.55 tff(19809,plain,
% 49.45/32.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB141, constB142)) | v102(constB142) | v104(constB142)),
% 49.45/32.55 inference(modus_ponens,[status(thm)],[19808, 19807])).
% 49.45/32.55 tff(19810,plain,
% 49.45/32.55 (v102(constB142) | v104(constB142)),
% 49.45/32.55 inference(unit_resolution,[status(thm)],[19809, 285, 19794])).
% 49.45/32.55 tff(19811,plain,
% 49.45/32.55 (v102(constB142)),
% 49.45/32.55 inference(unit_resolution,[status(thm)],[19810, 19806])).
% 49.45/32.55 tff(19812,plain,
% 49.45/32.55 (v1(constB142) <=> v1(constB142)),
% 49.45/32.55 inference(rewrite,[status(thm)],[])).
% 49.45/32.55 tff(19813,axiom,(v1(constB142)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_142_1')).
% 49.45/32.55 tff(19814,plain,
% 49.45/32.55 (v1(constB142)),
% 49.45/32.55 inference(modus_ponens,[status(thm)],[19813, 19812])).
% 49.45/32.55 tff(19815,plain,
% 49.45/32.55 (((~![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)))),
% 49.45/32.55 inference(rewrite,[status(thm)],[])).
% 49.45/32.55 tff(19816,plain,
% 49.45/32.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB141, constB142)) | v101(constB142) | (~v102(constB142)) | (~v1(constB142)))),
% 49.45/32.55 inference(quant_inst,[status(thm)],[])).
% 49.45/32.55 tff(19817,plain,
% 49.45/32.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB141, constB142)) | v101(constB142) | (~v102(constB142)) | (~v1(constB142))),
% 49.45/32.55 inference(modus_ponens,[status(thm)],[19816, 19815])).
% 49.45/32.55 tff(19818,plain,
% 49.45/32.55 (v101(constB142) | (~v102(constB142))),
% 49.45/32.55 inference(unit_resolution,[status(thm)],[19817, 303, 19794, 19814])).
% 49.45/32.55 tff(19819,plain,
% 49.45/32.55 (v101(constB142)),
% 49.45/32.55 inference(unit_resolution,[status(thm)],[19818, 19811])).
% 49.45/32.55 tff(19820,plain,
% 49.45/32.55 (((~![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)))),
% 49.45/32.55 inference(rewrite,[status(thm)],[])).
% 49.45/32.55 tff(19821,plain,
% 49.45/32.55 (((~nextState(constB141, constB142)) | (~v101(constB142)) | (~v110(constB142)) | v100(constB142)) <=> ((~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142)))),
% 49.45/32.55 inference(rewrite,[status(thm)],[])).
% 49.45/32.55 tff(19822,plain,
% 49.45/32.55 (((~![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))))),
% 49.45/32.55 inference(monotonicity,[status(thm)],[19821])).
% 49.45/32.55 tff(19823,plain,
% 49.45/32.55 (((~![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)))),
% 49.45/32.55 inference(transitivity,[status(thm)],[19822, 19820])).
% 49.45/32.55 tff(19824,plain,
% 49.45/32.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB141, constB142)) | (~v101(constB142)) | (~v110(constB142)) | v100(constB142))),
% 49.45/32.55 inference(quant_inst,[status(thm)],[])).
% 49.45/32.55 tff(19825,plain,
% 49.45/32.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142))),
% 49.45/32.55 inference(modus_ponens,[status(thm)],[19824, 19823])).
% 49.45/32.55 tff(19826,plain,
% 49.45/32.55 (v100(constB142) | (~v101(constB142)) | (~v110(constB142))),
% 49.45/32.55 inference(unit_resolution,[status(thm)],[19825, 318, 19794])).
% 49.45/32.55 tff(19827,plain,
% 49.45/32.55 (v100(constB142) | (~v110(constB142))),
% 49.45/32.55 inference(unit_resolution,[status(thm)],[19826, 19819])).
% 49.45/32.55 tff(19828,plain,
% 49.45/32.55 (v100(constB142)),
% 49.45/32.55 inference(unit_resolution,[status(thm)],[19827, 19802])).
% 49.45/32.55 tff(19829,plain,
% 49.45/32.55 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB141)) | v130(constB141, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB141)) | v130(constB141, bitIndex2))),
% 49.45/32.55 inference(rewrite,[status(thm)],[])).
% 49.45/32.55 tff(19830,plain,
% 49.45/32.55 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB141)) | v130(constB141, bitIndex2))),
% 49.45/32.55 inference(quant_inst,[status(thm)],[])).
% 49.45/32.55 tff(19831,plain,
% 49.45/32.55 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB141)) | v130(constB141, bitIndex2)),
% 49.45/32.55 inference(modus_ponens,[status(thm)],[19830, 19829])).
% 49.45/32.55 tff(19832,plain,
% 49.45/32.55 (v130(constB141, bitIndex2)),
% 49.45/32.55 inference(unit_resolution,[status(thm)],[19831, 1876, 19759])).
% 49.45/32.55 tff(19833,plain,
% 49.45/32.55 (((~![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))),
% 49.45/32.55 inference(rewrite,[status(thm)],[])).
% 49.45/32.55 tff(19834,plain,
% 49.45/32.55 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB141) | (~v130(constB141, bitIndex2)) | v127(constB141, bitIndex2))),
% 49.45/32.55 inference(quant_inst,[status(thm)],[])).
% 49.45/32.55 tff(19835,plain,
% 49.45/32.55 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB141) | (~v130(constB141, bitIndex2)) | v127(constB141, bitIndex2)),
% 49.45/32.55 inference(modus_ponens,[status(thm)],[19834, 19833])).
% 49.45/32.55 tff(19836,plain,
% 49.45/32.55 ((~v130(constB141, bitIndex2)) | v127(constB141, bitIndex2)),
% 49.45/32.55 inference(unit_resolution,[status(thm)],[19835, 351, 19779])).
% 49.45/32.55 tff(19837,plain,
% 49.45/32.55 (v127(constB141, bitIndex2)),
% 49.45/32.55 inference(unit_resolution,[status(thm)],[19836, 19832])).
% 49.45/32.55 tff(19838,plain,
% 49.45/32.55 (((~![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))),
% 49.45/32.55 inference(rewrite,[status(thm)],[])).
% 49.45/32.55 tff(19839,plain,
% 49.45/32.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB141, constB142)) | (~v127(constB141, bitIndex2)) | v129(constB142, bitIndex2))),
% 49.45/32.55 inference(quant_inst,[status(thm)],[])).
% 49.45/32.55 tff(19840,plain,
% 49.45/32.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB141, constB142)) | (~v127(constB141, bitIndex2)) | v129(constB142, bitIndex2)),
% 49.45/32.55 inference(modus_ponens,[status(thm)],[19839, 19838])).
% 49.45/32.55 tff(19841,plain,
% 49.45/32.55 ((~v127(constB141, bitIndex2)) | v129(constB142, bitIndex2)),
% 49.45/32.55 inference(unit_resolution,[status(thm)],[19840, 366, 19794])).
% 49.45/32.55 tff(19842,plain,
% 49.45/32.55 (v129(constB142, bitIndex2)),
% 49.45/32.55 inference(unit_resolution,[status(thm)],[19841, 19837])).
% 49.45/32.55 tff(19843,plain,
% 49.45/32.55 (((~![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)))),
% 49.45/32.55 inference(rewrite,[status(thm)],[])).
% 49.45/32.55 tff(19844,plain,
% 49.45/32.55 ((v90(constB142, bitIndex2) | (~v100(constB142)) | (~v129(constB142, bitIndex2))) <=> (v90(constB142, bitIndex2) | (~v129(constB142, bitIndex2)) | (~v100(constB142)))),
% 49.45/32.55 inference(rewrite,[status(thm)],[])).
% 49.45/32.55 tff(19845,plain,
% 49.45/32.55 (((~![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))))),
% 49.45/32.55 inference(monotonicity,[status(thm)],[19844])).
% 49.45/32.55 tff(19846,plain,
% 49.45/32.55 (((~![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)))),
% 49.45/32.55 inference(transitivity,[status(thm)],[19845, 19843])).
% 49.45/32.55 tff(19847,plain,
% 49.45/32.55 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB142, bitIndex2) | (~v100(constB142)) | (~v129(constB142, bitIndex2)))),
% 49.45/32.55 inference(quant_inst,[status(thm)],[])).
% 49.45/32.55 tff(19848,plain,
% 49.45/32.55 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB142, bitIndex2) | (~v129(constB142, bitIndex2)) | (~v100(constB142))),
% 49.45/32.55 inference(modus_ponens,[status(thm)],[19847, 19846])).
% 49.45/32.55 tff(19849,plain,
% 49.45/32.55 (v90(constB142, bitIndex2) | (~v100(constB142))),
% 49.45/32.55 inference(unit_resolution,[status(thm)],[19848, 381, 19842])).
% 49.45/32.55 tff(19850,plain,
% 49.45/32.55 (v90(constB142, bitIndex2)),
% 49.45/32.55 inference(unit_resolution,[status(thm)],[19849, 19828])).
% 49.45/32.55 tff(19851,plain,
% 49.45/32.55 ((~v1(constB143)) <=> (~v1(constB143))),
% 49.45/32.55 inference(rewrite,[status(thm)],[])).
% 49.45/32.55 tff(19852,axiom,(~v1(constB143)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_143_1_1')).
% 49.45/32.55 tff(19853,plain,
% 49.45/32.55 (~v1(constB143)),
% 49.45/32.55 inference(modus_ponens,[status(thm)],[19852, 19851])).
% 49.45/32.55 tff(19854,plain,
% 49.45/32.55 (nextState(constB142, constB143) <=> nextState(constB142, constB143)),
% 49.45/32.55 inference(rewrite,[status(thm)],[])).
% 49.45/32.55 tff(19855,axiom,(nextState(constB142, constB143)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_142_1')).
% 49.45/32.55 tff(19856,plain,
% 49.45/32.55 (nextState(constB142, constB143)),
% 49.45/32.55 inference(modus_ponens,[status(thm)],[19855, 19854])).
% 49.45/32.55 tff(19857,plain,
% 49.45/32.55 (((~![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)))),
% 49.45/32.55 inference(rewrite,[status(thm)],[])).
% 49.45/32.55 tff(19858,plain,
% 49.45/32.55 (((~nextState(constB142, constB143)) | (~v101(constB143)) | v1(constB143)) <=> (v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143)))),
% 49.45/32.55 inference(rewrite,[status(thm)],[])).
% 49.45/32.55 tff(19859,plain,
% 49.45/32.55 (((~![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))))),
% 49.45/32.55 inference(monotonicity,[status(thm)],[19858])).
% 49.45/32.55 tff(19860,plain,
% 49.45/32.55 (((~![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)))),
% 49.45/32.55 inference(transitivity,[status(thm)],[19859, 19857])).
% 49.45/32.55 tff(19861,plain,
% 49.45/32.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB142, constB143)) | (~v101(constB143)) | v1(constB143))),
% 49.45/32.55 inference(quant_inst,[status(thm)],[])).
% 49.45/32.55 tff(19862,plain,
% 49.45/32.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143))),
% 49.45/32.55 inference(modus_ponens,[status(thm)],[19861, 19860])).
% 49.45/32.55 tff(19863,plain,
% 49.45/32.55 (~v101(constB143)),
% 49.45/32.55 inference(unit_resolution,[status(thm)],[19862, 49, 19856, 19853])).
% 49.45/32.55 tff(19864,plain,
% 49.45/32.55 (((~![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)))),
% 49.45/32.55 inference(rewrite,[status(thm)],[])).
% 49.45/32.55 tff(19865,plain,
% 49.45/32.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB142, constB143)) | v101(constB143) | (~v100(constB143)))),
% 49.45/32.55 inference(quant_inst,[status(thm)],[])).
% 49.45/32.55 tff(19866,plain,
% 49.45/32.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB142, constB143)) | v101(constB143) | (~v100(constB143))),
% 49.45/32.55 inference(modus_ponens,[status(thm)],[19865, 19864])).
% 49.45/32.55 tff(19867,plain,
% 49.45/32.55 (v101(constB143) | (~v100(constB143))),
% 49.45/32.55 inference(unit_resolution,[status(thm)],[19866, 66, 19856])).
% 49.45/32.55 tff(19868,plain,
% 49.45/32.55 (~v100(constB143)),
% 49.45/32.55 inference(unit_resolution,[status(thm)],[19867, 19863])).
% 49.45/32.55 tff(19869,plain,
% 49.45/32.55 (((~![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))),
% 49.45/32.55 inference(rewrite,[status(thm)],[])).
% 49.45/32.55 tff(19870,plain,
% 49.45/32.55 (((~nextState(constB142, constB143)) | (~v90(constB142, bitIndex2)) | v100(constB143) | v90(constB143, bitIndex2)) <=> ((~v90(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, bitIndex2))),
% 49.45/32.55 inference(rewrite,[status(thm)],[])).
% 49.45/32.55 tff(19871,plain,
% 49.45/32.55 (((~![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)))),
% 49.45/32.55 inference(monotonicity,[status(thm)],[19870])).
% 49.45/32.55 tff(19872,plain,
% 49.45/32.55 (((~![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))),
% 49.45/32.55 inference(transitivity,[status(thm)],[19871, 19869])).
% 49.45/32.55 tff(19873,plain,
% 49.45/32.55 ((~![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))),
% 49.45/32.55 inference(quant_inst,[status(thm)],[])).
% 49.45/32.55 tff(19874,plain,
% 49.45/32.55 ((~![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)),
% 49.45/32.55 inference(modus_ponens,[status(thm)],[19873, 19872])).
% 49.45/32.55 tff(19875,plain,
% 49.45/32.55 ((~v90(constB142, bitIndex2)) | v100(constB143) | v90(constB143, bitIndex2)),
% 49.45/32.55 inference(unit_resolution,[status(thm)],[19874, 417, 19856])).
% 49.45/32.55 tff(19876,plain,
% 49.45/32.55 ((~v90(constB142, bitIndex2)) | v90(constB143, bitIndex2)),
% 49.45/32.55 inference(unit_resolution,[status(thm)],[19875, 19868])).
% 49.45/32.55 tff(19877,plain,
% 49.45/32.55 (v90(constB143, bitIndex2)),
% 49.45/32.55 inference(unit_resolution,[status(thm)],[19876, 19850])).
% 49.45/32.55 tff(19878,plain,
% 49.45/32.55 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB141)) | (~v130(constB141, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB141)) | (~v130(constB141, bitIndex0)))),
% 49.45/32.55 inference(rewrite,[status(thm)],[])).
% 49.45/32.55 tff(19879,plain,
% 49.45/32.55 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB141)) | (~v130(constB141, bitIndex0)))),
% 49.45/32.55 inference(quant_inst,[status(thm)],[])).
% 49.45/32.55 tff(19880,plain,
% 49.45/32.55 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB141)) | (~v130(constB141, bitIndex0))),
% 49.45/32.55 inference(modus_ponens,[status(thm)],[19879, 19878])).
% 49.45/32.55 tff(19881,plain,
% 49.45/32.55 (~v130(constB141, bitIndex0)),
% 49.45/32.55 inference(unit_resolution,[status(thm)],[19880, 1997, 19759])).
% 49.45/32.55 tff(19882,plain,
% 49.45/32.55 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB141, bitIndex0)) | v26(constB141) | v130(constB141, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB141, bitIndex0)) | v26(constB141) | v130(constB141, bitIndex0))),
% 49.45/32.55 inference(rewrite,[status(thm)],[])).
% 49.45/32.55 tff(19883,plain,
% 49.45/32.55 ((v26(constB141) | v130(constB141, bitIndex0) | (~v127(constB141, bitIndex0))) <=> ((~v127(constB141, bitIndex0)) | v26(constB141) | v130(constB141, bitIndex0))),
% 49.45/32.55 inference(rewrite,[status(thm)],[])).
% 49.45/32.55 tff(19884,plain,
% 49.45/32.55 (((~![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)))) | ((~v127(constB141, bitIndex0)) | v26(constB141) | v130(constB141, bitIndex0)))),
% 49.45/32.55 inference(monotonicity,[status(thm)],[19883])).
% 49.45/32.55 tff(19885,plain,
% 49.45/32.55 (((~![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)))) | (~v127(constB141, bitIndex0)) | v26(constB141) | v130(constB141, bitIndex0))),
% 49.45/32.55 inference(transitivity,[status(thm)],[19884, 19882])).
% 49.45/32.55 tff(19886,plain,
% 49.45/32.55 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB141) | v130(constB141, bitIndex0) | (~v127(constB141, bitIndex0)))),
% 49.45/32.55 inference(quant_inst,[status(thm)],[])).
% 49.45/32.55 tff(19887,plain,
% 49.45/32.55 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB141, bitIndex0)) | v26(constB141) | v130(constB141, bitIndex0)),
% 49.45/32.55 inference(modus_ponens,[status(thm)],[19886, 19885])).
% 49.45/32.55 tff(19888,plain,
% 49.45/32.55 ((~v127(constB141, bitIndex0)) | v130(constB141, bitIndex0)),
% 49.45/32.55 inference(unit_resolution,[status(thm)],[19887, 524, 19779])).
% 49.45/32.55 tff(19889,plain,
% 49.45/32.55 (~v127(constB141, bitIndex0)),
% 49.45/32.55 inference(unit_resolution,[status(thm)],[19888, 19881])).
% 49.45/32.55 tff(19890,plain,
% 49.45/32.55 (((~![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)))),
% 49.45/32.55 inference(rewrite,[status(thm)],[])).
% 49.45/32.55 tff(19891,plain,
% 49.45/32.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB141, constB142)) | v127(constB141, bitIndex0) | (~v129(constB142, bitIndex0)))),
% 49.45/32.55 inference(quant_inst,[status(thm)],[])).
% 49.45/32.55 tff(19892,plain,
% 49.45/32.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB141, constB142)) | v127(constB141, bitIndex0) | (~v129(constB142, bitIndex0))),
% 49.45/32.55 inference(modus_ponens,[status(thm)],[19891, 19890])).
% 49.45/32.55 tff(19893,plain,
% 49.45/32.55 (v127(constB141, bitIndex0) | (~v129(constB142, bitIndex0))),
% 49.45/32.55 inference(unit_resolution,[status(thm)],[19892, 542, 19794])).
% 49.45/32.55 tff(19894,plain,
% 49.45/32.55 (~v129(constB142, bitIndex0)),
% 49.45/32.55 inference(unit_resolution,[status(thm)],[19893, 19889])).
% 49.45/32.55 tff(19895,plain,
% 49.45/32.55 (((~![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)))),
% 49.45/32.55 inference(rewrite,[status(thm)],[])).
% 49.45/32.55 tff(19896,plain,
% 49.45/32.55 (((~v90(constB142, bitIndex0)) | (~v100(constB142)) | v129(constB142, bitIndex0)) <=> ((~v90(constB142, bitIndex0)) | v129(constB142, bitIndex0) | (~v100(constB142)))),
% 49.45/32.55 inference(rewrite,[status(thm)],[])).
% 49.45/32.55 tff(19897,plain,
% 49.45/32.55 (((~![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))))),
% 49.45/32.55 inference(monotonicity,[status(thm)],[19896])).
% 49.45/32.55 tff(19898,plain,
% 49.45/32.55 (((~![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)))),
% 49.45/32.55 inference(transitivity,[status(thm)],[19897, 19895])).
% 49.45/32.55 tff(19899,plain,
% 49.45/32.55 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB142, bitIndex0)) | (~v100(constB142)) | v129(constB142, bitIndex0))),
% 49.45/32.55 inference(quant_inst,[status(thm)],[])).
% 49.45/32.55 tff(19900,plain,
% 49.45/32.55 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB142, bitIndex0)) | v129(constB142, bitIndex0) | (~v100(constB142))),
% 49.45/32.55 inference(modus_ponens,[status(thm)],[19899, 19898])).
% 49.45/32.55 tff(19901,plain,
% 49.45/32.55 ((~v90(constB142, bitIndex0)) | (~v100(constB142))),
% 49.45/32.55 inference(unit_resolution,[status(thm)],[19900, 557, 19894])).
% 49.45/32.55 tff(19902,plain,
% 49.45/32.55 (~v90(constB142, bitIndex0)),
% 49.45/32.55 inference(unit_resolution,[status(thm)],[19901, 19828])).
% 49.45/32.55 tff(19903,plain,
% 49.45/32.55 (((~![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)))),
% 49.45/32.55 inference(rewrite,[status(thm)],[])).
% 49.45/32.55 tff(19904,plain,
% 49.45/32.55 (((~nextState(constB142, constB143)) | v90(constB142, bitIndex0) | v100(constB143) | (~v90(constB143, bitIndex0))) <=> (v90(constB142, bitIndex0) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex0)))),
% 49.45/32.56 inference(rewrite,[status(thm)],[])).
% 49.45/32.56 tff(19905,plain,
% 49.45/32.56 (((~![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))))),
% 49.45/32.56 inference(monotonicity,[status(thm)],[19904])).
% 49.45/32.56 tff(19906,plain,
% 49.45/32.56 (((~![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)))),
% 49.45/32.56 inference(transitivity,[status(thm)],[19905, 19903])).
% 49.45/32.56 tff(19907,plain,
% 49.45/32.56 ((~![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)))),
% 49.45/32.56 inference(quant_inst,[status(thm)],[])).
% 49.45/32.56 tff(19908,plain,
% 49.45/32.56 ((~![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))),
% 49.45/32.56 inference(modus_ponens,[status(thm)],[19907, 19906])).
% 49.45/32.56 tff(19909,plain,
% 49.45/32.56 (v90(constB142, bitIndex0) | v100(constB143) | (~v90(constB143, bitIndex0))),
% 49.45/32.56 inference(unit_resolution,[status(thm)],[19908, 123, 19856])).
% 49.45/32.56 tff(19910,plain,
% 49.45/32.56 (v90(constB142, bitIndex0) | (~v90(constB143, bitIndex0))),
% 49.45/32.56 inference(unit_resolution,[status(thm)],[19909, 19868])).
% 49.45/32.56 tff(19911,plain,
% 49.45/32.56 (~v90(constB143, bitIndex0)),
% 49.45/32.56 inference(unit_resolution,[status(thm)],[19910, 19902])).
% 49.45/32.56 tff(19912,plain,
% 49.45/32.56 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB141)) | (~v130(constB141, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB141)) | (~v130(constB141, bitIndex1)))),
% 49.45/32.56 inference(rewrite,[status(thm)],[])).
% 49.45/32.56 tff(19913,plain,
% 49.45/32.56 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB141)) | (~v130(constB141, bitIndex1)))),
% 49.45/32.56 inference(quant_inst,[status(thm)],[])).
% 49.45/32.56 tff(19914,plain,
% 49.45/32.56 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB141)) | (~v130(constB141, bitIndex1))),
% 49.45/32.56 inference(modus_ponens,[status(thm)],[19913, 19912])).
% 49.45/32.56 tff(19915,plain,
% 49.45/32.56 (~v130(constB141, bitIndex1)),
% 49.45/32.56 inference(unit_resolution,[status(thm)],[19914, 1935, 19759])).
% 49.45/32.56 tff(19916,plain,
% 49.45/32.56 (((~![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))),
% 49.45/32.56 inference(rewrite,[status(thm)],[])).
% 49.45/32.56 tff(19917,plain,
% 49.45/32.56 ((v26(constB141) | v130(constB141, bitIndex1) | (~v127(constB141, bitIndex1))) <=> ((~v127(constB141, bitIndex1)) | v26(constB141) | v130(constB141, bitIndex1))),
% 49.45/32.56 inference(rewrite,[status(thm)],[])).
% 49.45/32.56 tff(19918,plain,
% 49.45/32.56 (((~![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)))),
% 49.45/32.56 inference(monotonicity,[status(thm)],[19917])).
% 49.45/32.56 tff(19919,plain,
% 49.45/32.56 (((~![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))),
% 49.45/32.56 inference(transitivity,[status(thm)],[19918, 19916])).
% 49.45/32.56 tff(19920,plain,
% 49.45/32.56 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB141) | v130(constB141, bitIndex1) | (~v127(constB141, bitIndex1)))),
% 49.45/32.56 inference(quant_inst,[status(thm)],[])).
% 49.45/32.56 tff(19921,plain,
% 49.45/32.56 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB141, bitIndex1)) | v26(constB141) | v130(constB141, bitIndex1)),
% 49.45/32.56 inference(modus_ponens,[status(thm)],[19920, 19919])).
% 49.45/32.56 tff(19922,plain,
% 49.45/32.56 ((~v127(constB141, bitIndex1)) | v130(constB141, bitIndex1)),
% 49.45/32.56 inference(unit_resolution,[status(thm)],[19921, 450, 19779])).
% 49.45/32.56 tff(19923,plain,
% 49.45/32.56 (~v127(constB141, bitIndex1)),
% 49.45/32.56 inference(unit_resolution,[status(thm)],[19922, 19915])).
% 49.45/32.56 tff(19924,plain,
% 49.45/32.56 (((~![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)))),
% 49.45/32.56 inference(rewrite,[status(thm)],[])).
% 49.45/32.56 tff(19925,plain,
% 49.45/32.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB141, constB142)) | v127(constB141, bitIndex1) | (~v129(constB142, bitIndex1)))),
% 49.45/32.56 inference(quant_inst,[status(thm)],[])).
% 49.45/32.56 tff(19926,plain,
% 49.45/32.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB141, constB142)) | v127(constB141, bitIndex1) | (~v129(constB142, bitIndex1))),
% 49.45/32.56 inference(modus_ponens,[status(thm)],[19925, 19924])).
% 49.45/32.56 tff(19927,plain,
% 49.45/32.56 (v127(constB141, bitIndex1) | (~v129(constB142, bitIndex1))),
% 49.45/32.56 inference(unit_resolution,[status(thm)],[19926, 468, 19794])).
% 49.45/32.56 tff(19928,plain,
% 49.45/32.56 (~v129(constB142, bitIndex1)),
% 49.45/32.56 inference(unit_resolution,[status(thm)],[19927, 19923])).
% 49.45/32.56 tff(19929,plain,
% 49.45/32.56 (((~![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)))),
% 49.45/32.56 inference(rewrite,[status(thm)],[])).
% 49.45/32.56 tff(19930,plain,
% 49.45/32.56 (((~v90(constB142, bitIndex1)) | (~v100(constB142)) | v129(constB142, bitIndex1)) <=> ((~v90(constB142, bitIndex1)) | v129(constB142, bitIndex1) | (~v100(constB142)))),
% 49.45/32.56 inference(rewrite,[status(thm)],[])).
% 49.45/32.56 tff(19931,plain,
% 49.45/32.56 (((~![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))))),
% 49.45/32.56 inference(monotonicity,[status(thm)],[19930])).
% 49.45/32.56 tff(19932,plain,
% 49.45/32.56 (((~![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)))),
% 49.45/32.56 inference(transitivity,[status(thm)],[19931, 19929])).
% 49.45/32.56 tff(19933,plain,
% 49.45/32.56 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB142, bitIndex1)) | (~v100(constB142)) | v129(constB142, bitIndex1))),
% 49.45/32.56 inference(quant_inst,[status(thm)],[])).
% 49.45/32.56 tff(19934,plain,
% 49.45/32.56 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB142, bitIndex1)) | v129(constB142, bitIndex1) | (~v100(constB142))),
% 49.45/32.56 inference(modus_ponens,[status(thm)],[19933, 19932])).
% 49.45/32.56 tff(19935,plain,
% 49.45/32.56 ((~v90(constB142, bitIndex1)) | (~v100(constB142))),
% 49.45/32.56 inference(unit_resolution,[status(thm)],[19934, 483, 19928])).
% 49.45/32.56 tff(19936,plain,
% 49.45/32.56 (~v90(constB142, bitIndex1)),
% 49.45/32.56 inference(unit_resolution,[status(thm)],[19935, 19828])).
% 49.45/32.56 tff(19937,plain,
% 49.45/32.56 (((~![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)))),
% 49.45/32.56 inference(rewrite,[status(thm)],[])).
% 49.45/32.56 tff(19938,plain,
% 49.45/32.56 (((~nextState(constB142, constB143)) | v90(constB142, bitIndex1) | v100(constB143) | (~v90(constB143, bitIndex1))) <=> (v90(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, bitIndex1)))),
% 49.45/32.56 inference(rewrite,[status(thm)],[])).
% 49.45/32.56 tff(19939,plain,
% 49.45/32.56 (((~![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))))),
% 49.45/32.56 inference(monotonicity,[status(thm)],[19938])).
% 49.45/32.56 tff(19940,plain,
% 49.45/32.56 (((~![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)))),
% 49.45/32.56 inference(transitivity,[status(thm)],[19939, 19937])).
% 49.45/32.56 tff(19941,plain,
% 49.45/32.56 ((~![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)))),
% 49.45/32.56 inference(quant_inst,[status(thm)],[])).
% 49.45/32.56 tff(19942,plain,
% 49.45/32.56 ((~![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))),
% 49.45/32.56 inference(modus_ponens,[status(thm)],[19941, 19940])).
% 49.45/32.56 tff(19943,plain,
% 49.45/32.56 (v90(constB142, bitIndex1) | v100(constB143) | (~v90(constB143, bitIndex1))),
% 49.45/32.56 inference(unit_resolution,[status(thm)],[19942, 102, 19856])).
% 49.45/32.56 tff(19944,plain,
% 49.45/32.56 (v90(constB142, bitIndex1) | (~v90(constB143, bitIndex1))),
% 49.45/32.56 inference(unit_resolution,[status(thm)],[19943, 19868])).
% 49.45/32.56 tff(19945,plain,
% 49.45/32.56 (~v90(constB143, bitIndex1)),
% 49.45/32.56 inference(unit_resolution,[status(thm)],[19944, 19936])).
% 49.45/32.56 tff(19946,assumption,(~v123(constB143)), introduced(assumption)).
% 49.45/32.56 tff(19947,plain,
% 49.45/32.56 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB143, bitIndex0) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)) | v123(constB143))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB143, bitIndex0) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)) | v123(constB143))),
% 49.45/32.56 inference(rewrite,[status(thm)],[])).
% 49.45/32.56 tff(19948,plain,
% 49.45/32.56 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB143, bitIndex0) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)) | v123(constB143))),
% 49.45/32.56 inference(quant_inst,[status(thm)],[])).
% 49.45/32.56 tff(19949,plain,
% 49.45/32.56 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB143, bitIndex0) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2)) | v123(constB143)),
% 49.45/32.56 inference(modus_ponens,[status(thm)],[19948, 19947])).
% 49.45/32.56 tff(19950,plain,
% 49.45/32.56 (v90(constB143, bitIndex0) | v90(constB143, bitIndex1) | (~v90(constB143, bitIndex2))),
% 49.45/32.56 inference(unit_resolution,[status(thm)],[19949, 584, 19946])).
% 49.45/32.56 tff(19951,plain,
% 49.45/32.56 ($false),
% 49.45/32.56 inference(unit_resolution,[status(thm)],[19950, 19945, 19911, 19877])).
% 49.45/32.56 tff(19952,plain,((~v122(constB141)) | v123(constB143)), inference(lemma,lemma(discharge,[]))).
% 49.45/32.56 tff(19953,plain,
% 49.45/32.56 (v123(constB143)),
% 49.45/32.56 inference(unit_resolution,[status(thm)],[19952, 19758])).
% 49.45/32.56 tff(19954,plain,
% 49.45/32.56 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB143) | (~v123(constB143)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB143) | (~v123(constB143)))),
% 49.45/32.56 inference(rewrite,[status(thm)],[])).
% 49.45/32.56 tff(19955,plain,
% 49.45/32.56 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB143) | (~v123(constB143)))),
% 49.45/32.56 inference(quant_inst,[status(thm)],[])).
% 49.45/32.56 tff(19956,plain,
% 49.45/32.56 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB143) | (~v123(constB143))),
% 49.45/32.56 inference(modus_ponens,[status(thm)],[19955, 19954])).
% 49.45/32.56 tff(19957,plain,
% 49.45/32.56 (v115(constB143)),
% 49.45/32.56 inference(unit_resolution,[status(thm)],[19956, 595, 19953])).
% 49.45/32.56 tff(19958,plain,
% 49.45/32.56 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB143) | (~v115(constB143)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB143) | (~v115(constB143)))),
% 49.45/32.56 inference(rewrite,[status(thm)],[])).
% 49.45/32.56 tff(19959,plain,
% 49.45/32.56 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB143) | (~v115(constB143)))),
% 49.45/32.56 inference(quant_inst,[status(thm)],[])).
% 49.45/32.56 tff(19960,plain,
% 49.45/32.56 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB143) | (~v115(constB143))),
% 49.45/32.56 inference(modus_ponens,[status(thm)],[19959, 19958])).
% 49.45/32.56 tff(19961,plain,
% 49.45/32.56 (v114(constB143)),
% 49.45/32.56 inference(unit_resolution,[status(thm)],[19960, 199, 19957])).
% 49.45/32.56 tff(19962,plain,
% 49.45/32.56 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB143) | (~v114(constB143)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB143) | (~v114(constB143)))),
% 49.45/32.56 inference(rewrite,[status(thm)],[])).
% 49.45/32.56 tff(19963,plain,
% 49.45/32.56 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB143) | (~v114(constB143)))),
% 49.45/32.56 inference(quant_inst,[status(thm)],[])).
% 49.45/32.56 tff(19964,plain,
% 49.45/32.56 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB143) | (~v114(constB143))),
% 49.45/32.56 inference(modus_ponens,[status(thm)],[19963, 19962])).
% 49.45/32.56 tff(19965,plain,
% 49.45/32.56 (v113(constB143)),
% 49.45/32.56 inference(unit_resolution,[status(thm)],[19964, 210, 19961])).
% 49.45/32.56 tff(19966,assumption,(~v108(constB143)), introduced(assumption)).
% 49.45/32.56 tff(19967,plain,
% 49.45/32.56 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB143) | (~v112(constB143)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB143) | (~v112(constB143)))),
% 49.45/32.56 inference(rewrite,[status(thm)],[])).
% 49.45/32.56 tff(19968,plain,
% 49.45/32.56 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB143) | (~v112(constB143)))),
% 49.45/32.56 inference(quant_inst,[status(thm)],[])).
% 49.45/32.56 tff(19969,plain,
% 49.45/32.56 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB143) | (~v112(constB143))),
% 49.45/32.56 inference(modus_ponens,[status(thm)],[19968, 19967])).
% 49.45/32.56 tff(19970,plain,
% 49.45/32.56 (~v112(constB143)),
% 49.45/32.56 inference(unit_resolution,[status(thm)],[19969, 236, 19966])).
% 49.45/32.56 tff(19971,plain,
% 49.45/32.56 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB143) | (~v26(constB143)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB143) | (~v26(constB143)))),
% 49.45/32.56 inference(rewrite,[status(thm)],[])).
% 49.45/32.56 tff(19972,plain,
% 49.45/32.56 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB143) | (~v26(constB143)))),
% 49.45/32.56 inference(quant_inst,[status(thm)],[])).
% 49.45/32.56 tff(19973,plain,
% 49.45/32.56 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB143) | (~v26(constB143))),
% 49.45/32.56 inference(modus_ponens,[status(thm)],[19972, 19971])).
% 49.45/32.56 tff(19974,plain,
% 49.45/32.56 (~v26(constB143)),
% 49.45/32.56 inference(unit_resolution,[status(thm)],[19973, 961, 19966])).
% 49.45/32.56 tff(19975,assumption,(v113(constB143)), introduced(assumption)).
% 49.45/32.56 tff(19976,plain,
% 49.45/32.56 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB143) | (~v113(constB143)) | v112(constB143))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB143) | (~v113(constB143)) | v112(constB143))),
% 49.45/32.56 inference(rewrite,[status(thm)],[])).
% 49.45/32.56 tff(19977,plain,
% 49.45/32.56 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB143) | (~v113(constB143)) | v112(constB143))),
% 49.45/32.56 inference(quant_inst,[status(thm)],[])).
% 49.45/32.56 tff(19978,plain,
% 49.45/32.56 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB143) | (~v113(constB143)) | v112(constB143)),
% 49.45/32.56 inference(modus_ponens,[status(thm)],[19977, 19976])).
% 49.45/32.56 tff(19979,plain,
% 49.45/32.56 (v26(constB143) | v112(constB143)),
% 49.45/32.56 inference(unit_resolution,[status(thm)],[19978, 224, 19975])).
% 49.45/32.56 tff(19980,plain,
% 49.45/32.56 ($false),
% 49.45/32.56 inference(unit_resolution,[status(thm)],[19979, 19974, 19970])).
% 49.45/32.56 tff(19981,plain,(v108(constB143) | (~v113(constB143))), inference(lemma,lemma(discharge,[]))).
% 49.45/32.56 tff(19982,plain,
% 49.45/32.56 (v108(constB143)),
% 49.45/32.56 inference(unit_resolution,[status(thm)],[19981, 19965])).
% 49.45/32.56 tff(19983,plain,
% 49.45/32.56 (nextState(constB143, constB144) <=> nextState(constB143, constB144)),
% 49.45/32.56 inference(rewrite,[status(thm)],[])).
% 49.45/32.56 tff(19984,axiom,(nextState(constB143, constB144)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_143_1')).
% 49.45/32.56 tff(19985,plain,
% 49.45/32.56 (nextState(constB143, constB144)),
% 49.45/32.56 inference(modus_ponens,[status(thm)],[19984, 19983])).
% 49.45/32.56 tff(19986,plain,
% 49.45/32.56 (((~![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)))),
% 49.45/32.56 inference(rewrite,[status(thm)],[])).
% 49.45/32.56 tff(19987,plain,
% 49.45/32.56 (((~nextState(constB143, constB144)) | (~v108(constB143)) | v110(constB144)) <=> ((~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143)))),
% 49.45/32.56 inference(rewrite,[status(thm)],[])).
% 49.45/32.56 tff(19988,plain,
% 49.45/32.56 (((~![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))))),
% 49.45/32.56 inference(monotonicity,[status(thm)],[19987])).
% 49.45/32.56 tff(19989,plain,
% 49.45/32.56 (((~![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)))),
% 49.45/32.56 inference(transitivity,[status(thm)],[19988, 19986])).
% 49.45/32.56 tff(19990,plain,
% 49.45/32.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB143, constB144)) | (~v108(constB143)) | v110(constB144))),
% 49.45/32.56 inference(quant_inst,[status(thm)],[])).
% 49.45/32.56 tff(19991,plain,
% 49.45/32.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143))),
% 49.45/32.56 inference(modus_ponens,[status(thm)],[19990, 19989])).
% 49.45/32.56 tff(19992,plain,
% 49.45/32.56 (v110(constB144) | (~v108(constB143))),
% 49.45/32.56 inference(unit_resolution,[status(thm)],[19991, 253, 19985])).
% 49.45/32.56 tff(19993,plain,
% 49.45/32.56 (v110(constB144)),
% 49.45/32.56 inference(unit_resolution,[status(thm)],[19992, 19982])).
% 49.45/32.56 tff(19994,plain,
% 49.45/32.56 (((~![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)))),
% 49.45/32.56 inference(rewrite,[status(thm)],[])).
% 49.45/32.56 tff(19995,plain,
% 49.45/32.56 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB143) | (~nextState(constB143, constB144)) | (~v104(constB144)))),
% 49.45/32.56 inference(quant_inst,[status(thm)],[])).
% 49.45/32.56 tff(19996,plain,
% 49.45/32.56 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB143) | (~nextState(constB143, constB144)) | (~v104(constB144))),
% 49.45/32.56 inference(modus_ponens,[status(thm)],[19995, 19994])).
% 49.45/32.56 tff(19997,plain,
% 49.45/32.56 (~v104(constB144)),
% 49.45/32.56 inference(unit_resolution,[status(thm)],[19996, 271, 19985, 19853])).
% 49.45/32.56 tff(19998,plain,
% 49.45/32.56 (((~![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))),
% 49.45/32.56 inference(rewrite,[status(thm)],[])).
% 49.45/32.56 tff(19999,plain,
% 49.45/32.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB143, constB144)) | v102(constB144) | v104(constB144))),
% 49.45/32.56 inference(quant_inst,[status(thm)],[])).
% 49.45/32.56 tff(20000,plain,
% 49.45/32.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB143, constB144)) | v102(constB144) | v104(constB144)),
% 49.45/32.56 inference(modus_ponens,[status(thm)],[19999, 19998])).
% 49.45/32.56 tff(20001,plain,
% 49.45/32.56 (v102(constB144) | v104(constB144)),
% 49.45/32.56 inference(unit_resolution,[status(thm)],[20000, 285, 19985])).
% 49.45/32.56 tff(20002,plain,
% 49.45/32.56 (v102(constB144)),
% 49.45/32.56 inference(unit_resolution,[status(thm)],[20001, 19997])).
% 49.45/32.56 tff(20003,plain,
% 49.45/32.56 (v1(constB144) <=> v1(constB144)),
% 49.45/32.56 inference(rewrite,[status(thm)],[])).
% 49.45/32.56 tff(20004,axiom,(v1(constB144)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_144_1')).
% 49.45/32.56 tff(20005,plain,
% 49.45/32.56 (v1(constB144)),
% 49.45/32.56 inference(modus_ponens,[status(thm)],[20004, 20003])).
% 49.45/32.56 tff(20006,plain,
% 49.45/32.56 (((~![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)))),
% 49.45/32.56 inference(rewrite,[status(thm)],[])).
% 49.45/32.56 tff(20007,plain,
% 49.45/32.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB143, constB144)) | v101(constB144) | (~v102(constB144)) | (~v1(constB144)))),
% 49.45/32.56 inference(quant_inst,[status(thm)],[])).
% 49.45/32.56 tff(20008,plain,
% 49.45/32.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB143, constB144)) | v101(constB144) | (~v102(constB144)) | (~v1(constB144))),
% 49.45/32.56 inference(modus_ponens,[status(thm)],[20007, 20006])).
% 49.45/32.56 tff(20009,plain,
% 49.45/32.56 (v101(constB144) | (~v102(constB144))),
% 49.45/32.56 inference(unit_resolution,[status(thm)],[20008, 303, 19985, 20005])).
% 49.45/32.56 tff(20010,plain,
% 49.45/32.56 (v101(constB144)),
% 49.45/32.56 inference(unit_resolution,[status(thm)],[20009, 20002])).
% 49.45/32.56 tff(20011,plain,
% 49.45/32.56 (((~![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)))),
% 49.45/32.56 inference(rewrite,[status(thm)],[])).
% 49.45/32.56 tff(20012,plain,
% 49.45/32.56 (((~nextState(constB143, constB144)) | (~v101(constB144)) | (~v110(constB144)) | v100(constB144)) <=> ((~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144)))),
% 49.45/32.56 inference(rewrite,[status(thm)],[])).
% 49.45/32.56 tff(20013,plain,
% 49.45/32.56 (((~![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))))),
% 49.45/32.56 inference(monotonicity,[status(thm)],[20012])).
% 49.45/32.56 tff(20014,plain,
% 49.45/32.56 (((~![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)))),
% 49.45/32.56 inference(transitivity,[status(thm)],[20013, 20011])).
% 49.45/32.56 tff(20015,plain,
% 49.45/32.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB143, constB144)) | (~v101(constB144)) | (~v110(constB144)) | v100(constB144))),
% 49.45/32.56 inference(quant_inst,[status(thm)],[])).
% 49.45/32.56 tff(20016,plain,
% 49.45/32.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144))),
% 49.45/32.56 inference(modus_ponens,[status(thm)],[20015, 20014])).
% 49.45/32.56 tff(20017,plain,
% 49.45/32.56 (v100(constB144) | (~v101(constB144)) | (~v110(constB144))),
% 49.45/32.56 inference(unit_resolution,[status(thm)],[20016, 318, 19985])).
% 49.45/32.56 tff(20018,plain,
% 49.45/32.56 (v100(constB144) | (~v110(constB144))),
% 49.45/32.56 inference(unit_resolution,[status(thm)],[20017, 20010])).
% 49.45/32.56 tff(20019,plain,
% 49.45/32.56 (v100(constB144)),
% 49.45/32.56 inference(unit_resolution,[status(thm)],[20018, 19993])).
% 49.45/32.56 tff(20020,plain,
% 49.45/32.56 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB143)) | v130(constB143, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB143)) | v130(constB143, bitIndex2))),
% 49.45/32.56 inference(rewrite,[status(thm)],[])).
% 49.45/32.56 tff(20021,plain,
% 49.45/32.56 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB143)) | v130(constB143, bitIndex2))),
% 49.45/32.56 inference(quant_inst,[status(thm)],[])).
% 49.45/32.56 tff(20022,plain,
% 49.45/32.56 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB143)) | v130(constB143, bitIndex2)),
% 49.45/32.56 inference(modus_ponens,[status(thm)],[20021, 20020])).
% 49.45/32.56 tff(20023,plain,
% 49.45/32.56 (v130(constB143, bitIndex2)),
% 49.45/32.56 inference(unit_resolution,[status(thm)],[20022, 836, 19953])).
% 49.45/32.56 tff(20024,assumption,(v26(constB143)), introduced(assumption)).
% 49.45/32.56 tff(20025,plain,
% 49.45/32.56 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB143))),
% 49.45/32.56 inference(quant_inst,[status(thm)],[])).
% 49.45/32.56 tff(20026,plain,
% 49.45/32.56 ($false),
% 49.45/32.56 inference(unit_resolution,[status(thm)],[20025, 16, 20024])).
% 49.45/32.56 tff(20027,plain,(~v26(constB143)), inference(lemma,lemma(discharge,[]))).
% 49.45/32.56 tff(20028,plain,
% 49.45/32.56 (((~![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))),
% 49.45/32.56 inference(rewrite,[status(thm)],[])).
% 49.45/32.56 tff(20029,plain,
% 49.45/32.56 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB143) | (~v130(constB143, bitIndex2)) | v127(constB143, bitIndex2))),
% 49.45/32.56 inference(quant_inst,[status(thm)],[])).
% 49.45/32.56 tff(20030,plain,
% 49.45/32.56 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB143) | (~v130(constB143, bitIndex2)) | v127(constB143, bitIndex2)),
% 49.45/32.56 inference(modus_ponens,[status(thm)],[20029, 20028])).
% 49.45/32.56 tff(20031,plain,
% 49.45/32.56 ((~v130(constB143, bitIndex2)) | v127(constB143, bitIndex2)),
% 49.45/32.56 inference(unit_resolution,[status(thm)],[20030, 351, 20027])).
% 49.45/32.56 tff(20032,plain,
% 49.45/32.56 (v127(constB143, bitIndex2)),
% 49.45/32.56 inference(unit_resolution,[status(thm)],[20031, 20023])).
% 49.45/32.56 tff(20033,plain,
% 49.45/32.56 (((~![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))),
% 49.45/32.56 inference(rewrite,[status(thm)],[])).
% 49.45/32.56 tff(20034,plain,
% 49.45/32.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB143, constB144)) | (~v127(constB143, bitIndex2)) | v129(constB144, bitIndex2))),
% 49.45/32.56 inference(quant_inst,[status(thm)],[])).
% 49.45/32.56 tff(20035,plain,
% 49.45/32.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB143, constB144)) | (~v127(constB143, bitIndex2)) | v129(constB144, bitIndex2)),
% 49.45/32.56 inference(modus_ponens,[status(thm)],[20034, 20033])).
% 49.45/32.56 tff(20036,plain,
% 49.45/32.56 ((~v127(constB143, bitIndex2)) | v129(constB144, bitIndex2)),
% 49.45/32.56 inference(unit_resolution,[status(thm)],[20035, 366, 19985])).
% 49.45/32.56 tff(20037,plain,
% 49.45/32.56 (v129(constB144, bitIndex2)),
% 49.45/32.56 inference(unit_resolution,[status(thm)],[20036, 20032])).
% 49.45/32.56 tff(20038,plain,
% 49.45/32.56 (((~![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)))),
% 49.45/32.56 inference(rewrite,[status(thm)],[])).
% 49.45/32.56 tff(20039,plain,
% 49.45/32.56 ((v90(constB144, bitIndex2) | (~v100(constB144)) | (~v129(constB144, bitIndex2))) <=> (v90(constB144, bitIndex2) | (~v129(constB144, bitIndex2)) | (~v100(constB144)))),
% 49.45/32.56 inference(rewrite,[status(thm)],[])).
% 49.45/32.56 tff(20040,plain,
% 49.45/32.56 (((~![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))))),
% 49.45/32.56 inference(monotonicity,[status(thm)],[20039])).
% 49.45/32.56 tff(20041,plain,
% 49.45/32.56 (((~![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)))),
% 49.45/32.56 inference(transitivity,[status(thm)],[20040, 20038])).
% 49.45/32.56 tff(20042,plain,
% 49.45/32.56 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB144, bitIndex2) | (~v100(constB144)) | (~v129(constB144, bitIndex2)))),
% 49.45/32.56 inference(quant_inst,[status(thm)],[])).
% 49.45/32.56 tff(20043,plain,
% 49.45/32.56 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB144, bitIndex2) | (~v129(constB144, bitIndex2)) | (~v100(constB144))),
% 49.45/32.56 inference(modus_ponens,[status(thm)],[20042, 20041])).
% 49.45/32.56 tff(20044,plain,
% 49.45/32.56 (v90(constB144, bitIndex2) | (~v100(constB144))),
% 49.45/32.56 inference(unit_resolution,[status(thm)],[20043, 381, 20037])).
% 49.45/32.56 tff(20045,plain,
% 49.45/32.56 (v90(constB144, bitIndex2)),
% 49.45/32.56 inference(unit_resolution,[status(thm)],[20044, 20019])).
% 49.45/32.56 tff(20046,plain,
% 49.45/32.56 ((~v1(constB145)) <=> (~v1(constB145))),
% 49.45/32.56 inference(rewrite,[status(thm)],[])).
% 49.45/32.56 tff(20047,axiom,(~v1(constB145)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_145_1_1')).
% 49.45/32.56 tff(20048,plain,
% 49.45/32.56 (~v1(constB145)),
% 49.45/32.56 inference(modus_ponens,[status(thm)],[20047, 20046])).
% 49.45/32.56 tff(20049,plain,
% 49.45/32.56 (nextState(constB144, constB145) <=> nextState(constB144, constB145)),
% 49.45/32.56 inference(rewrite,[status(thm)],[])).
% 49.45/32.56 tff(20050,axiom,(nextState(constB144, constB145)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_144_1')).
% 49.45/32.56 tff(20051,plain,
% 49.45/32.56 (nextState(constB144, constB145)),
% 49.45/32.56 inference(modus_ponens,[status(thm)],[20050, 20049])).
% 49.45/32.56 tff(20052,plain,
% 49.45/32.56 (((~![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)))),
% 49.45/32.56 inference(rewrite,[status(thm)],[])).
% 49.45/32.56 tff(20053,plain,
% 49.45/32.56 (((~nextState(constB144, constB145)) | (~v101(constB145)) | v1(constB145)) <=> (v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145)))),
% 49.45/32.56 inference(rewrite,[status(thm)],[])).
% 49.45/32.56 tff(20054,plain,
% 49.45/32.56 (((~![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))))),
% 49.45/32.56 inference(monotonicity,[status(thm)],[20053])).
% 49.45/32.56 tff(20055,plain,
% 49.45/32.56 (((~![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)))),
% 49.45/32.57 inference(transitivity,[status(thm)],[20054, 20052])).
% 49.45/32.57 tff(20056,plain,
% 49.45/32.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB144, constB145)) | (~v101(constB145)) | v1(constB145))),
% 49.45/32.57 inference(quant_inst,[status(thm)],[])).
% 49.45/32.57 tff(20057,plain,
% 49.45/32.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145))),
% 49.45/32.57 inference(modus_ponens,[status(thm)],[20056, 20055])).
% 49.45/32.57 tff(20058,plain,
% 49.45/32.57 (~v101(constB145)),
% 49.45/32.57 inference(unit_resolution,[status(thm)],[20057, 49, 20051, 20048])).
% 49.45/32.57 tff(20059,plain,
% 49.45/32.57 (((~![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)))),
% 49.45/32.57 inference(rewrite,[status(thm)],[])).
% 49.45/32.57 tff(20060,plain,
% 49.45/32.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB144, constB145)) | v101(constB145) | (~v100(constB145)))),
% 49.45/32.57 inference(quant_inst,[status(thm)],[])).
% 49.45/32.57 tff(20061,plain,
% 49.45/32.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB144, constB145)) | v101(constB145) | (~v100(constB145))),
% 49.45/32.57 inference(modus_ponens,[status(thm)],[20060, 20059])).
% 49.45/32.57 tff(20062,plain,
% 49.45/32.57 (v101(constB145) | (~v100(constB145))),
% 49.45/32.57 inference(unit_resolution,[status(thm)],[20061, 66, 20051])).
% 49.45/32.57 tff(20063,plain,
% 49.45/32.57 (~v100(constB145)),
% 49.45/32.57 inference(unit_resolution,[status(thm)],[20062, 20058])).
% 49.45/32.57 tff(20064,plain,
% 49.45/32.57 (((~![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))),
% 49.45/32.57 inference(rewrite,[status(thm)],[])).
% 49.45/32.57 tff(20065,plain,
% 49.45/32.57 (((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex2)) | v100(constB145) | v90(constB145, bitIndex2)) <=> ((~v90(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex2))),
% 49.45/32.57 inference(rewrite,[status(thm)],[])).
% 49.45/32.57 tff(20066,plain,
% 49.45/32.57 (((~![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)))),
% 49.45/32.57 inference(monotonicity,[status(thm)],[20065])).
% 49.45/32.57 tff(20067,plain,
% 49.45/32.57 (((~![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))),
% 49.45/32.57 inference(transitivity,[status(thm)],[20066, 20064])).
% 49.45/32.57 tff(20068,plain,
% 49.45/32.57 ((~![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))),
% 49.45/32.57 inference(quant_inst,[status(thm)],[])).
% 49.45/32.57 tff(20069,plain,
% 49.45/32.57 ((~![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)),
% 49.45/32.57 inference(modus_ponens,[status(thm)],[20068, 20067])).
% 49.45/32.57 tff(20070,plain,
% 49.45/32.57 ((~v90(constB144, bitIndex2)) | v100(constB145) | v90(constB145, bitIndex2)),
% 49.45/32.57 inference(unit_resolution,[status(thm)],[20069, 417, 20051])).
% 49.45/32.57 tff(20071,plain,
% 49.45/32.57 ((~v90(constB144, bitIndex2)) | v90(constB145, bitIndex2)),
% 49.45/32.57 inference(unit_resolution,[status(thm)],[20070, 20063])).
% 49.45/32.57 tff(20072,plain,
% 49.45/32.57 (v90(constB145, bitIndex2)),
% 49.45/32.57 inference(unit_resolution,[status(thm)],[20071, 20045])).
% 49.45/32.57 tff(20073,plain,
% 49.45/32.57 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB143)) | v130(constB143, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB143)) | v130(constB143, bitIndex1))),
% 49.45/32.57 inference(rewrite,[status(thm)],[])).
% 49.45/32.57 tff(20074,plain,
% 49.45/32.57 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB143)) | v130(constB143, bitIndex1))),
% 49.45/32.57 inference(quant_inst,[status(thm)],[])).
% 49.45/32.57 tff(20075,plain,
% 49.45/32.57 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB143)) | v130(constB143, bitIndex1)),
% 49.45/32.57 inference(modus_ponens,[status(thm)],[20074, 20073])).
% 49.45/32.57 tff(20076,plain,
% 49.45/32.57 (v130(constB143, bitIndex1)),
% 49.45/32.57 inference(unit_resolution,[status(thm)],[20075, 667, 19953])).
% 49.45/32.57 tff(20077,plain,
% 49.45/32.57 (((~![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))),
% 49.45/32.57 inference(rewrite,[status(thm)],[])).
% 49.45/32.57 tff(20078,plain,
% 49.45/32.57 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB143) | (~v130(constB143, bitIndex1)) | v127(constB143, bitIndex1))),
% 49.45/32.57 inference(quant_inst,[status(thm)],[])).
% 49.45/32.57 tff(20079,plain,
% 49.45/32.57 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB143) | (~v130(constB143, bitIndex1)) | v127(constB143, bitIndex1)),
% 49.45/32.57 inference(modus_ponens,[status(thm)],[20078, 20077])).
% 49.45/32.57 tff(20080,plain,
% 49.45/32.57 ((~v130(constB143, bitIndex1)) | v127(constB143, bitIndex1)),
% 49.45/32.57 inference(unit_resolution,[status(thm)],[20079, 681, 20027])).
% 49.45/32.57 tff(20081,plain,
% 49.45/32.57 (v127(constB143, bitIndex1)),
% 49.45/32.57 inference(unit_resolution,[status(thm)],[20080, 20076])).
% 49.45/32.57 tff(20082,plain,
% 49.45/32.57 (((~![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))),
% 49.45/32.57 inference(rewrite,[status(thm)],[])).
% 49.45/32.57 tff(20083,plain,
% 49.45/32.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB143, constB144)) | (~v127(constB143, bitIndex1)) | v129(constB144, bitIndex1))),
% 49.45/32.57 inference(quant_inst,[status(thm)],[])).
% 49.45/32.57 tff(20084,plain,
% 49.45/32.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB143, constB144)) | (~v127(constB143, bitIndex1)) | v129(constB144, bitIndex1)),
% 49.45/32.57 inference(modus_ponens,[status(thm)],[20083, 20082])).
% 49.45/32.57 tff(20085,plain,
% 49.45/32.57 ((~v127(constB143, bitIndex1)) | v129(constB144, bitIndex1)),
% 49.45/32.57 inference(unit_resolution,[status(thm)],[20084, 696, 19985])).
% 49.45/32.57 tff(20086,plain,
% 49.45/32.57 (v129(constB144, bitIndex1)),
% 49.45/32.57 inference(unit_resolution,[status(thm)],[20085, 20081])).
% 49.45/32.57 tff(20087,plain,
% 49.45/32.57 (((~![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)))),
% 49.45/32.57 inference(rewrite,[status(thm)],[])).
% 49.45/32.57 tff(20088,plain,
% 49.45/32.57 ((v90(constB144, bitIndex1) | (~v100(constB144)) | (~v129(constB144, bitIndex1))) <=> (v90(constB144, bitIndex1) | (~v129(constB144, bitIndex1)) | (~v100(constB144)))),
% 49.45/32.57 inference(rewrite,[status(thm)],[])).
% 49.45/32.57 tff(20089,plain,
% 49.45/32.57 (((~![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))))),
% 49.45/32.57 inference(monotonicity,[status(thm)],[20088])).
% 49.45/32.57 tff(20090,plain,
% 49.45/32.57 (((~![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)))),
% 49.45/32.57 inference(transitivity,[status(thm)],[20089, 20087])).
% 49.45/32.57 tff(20091,plain,
% 49.45/32.57 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB144, bitIndex1) | (~v100(constB144)) | (~v129(constB144, bitIndex1)))),
% 49.45/32.57 inference(quant_inst,[status(thm)],[])).
% 49.45/32.57 tff(20092,plain,
% 49.45/32.57 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB144, bitIndex1) | (~v129(constB144, bitIndex1)) | (~v100(constB144))),
% 49.45/32.57 inference(modus_ponens,[status(thm)],[20091, 20090])).
% 49.45/32.57 tff(20093,plain,
% 49.45/32.57 (v90(constB144, bitIndex1) | (~v100(constB144))),
% 49.45/32.57 inference(unit_resolution,[status(thm)],[20092, 711, 20086])).
% 49.45/32.57 tff(20094,plain,
% 49.45/32.57 (v90(constB144, bitIndex1)),
% 49.45/32.57 inference(unit_resolution,[status(thm)],[20093, 20019])).
% 49.45/32.57 tff(20095,plain,
% 49.45/32.57 (((~![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))),
% 49.45/32.57 inference(rewrite,[status(thm)],[])).
% 49.45/32.57 tff(20096,plain,
% 49.45/32.57 (((~nextState(constB144, constB145)) | (~v90(constB144, bitIndex1)) | v100(constB145) | v90(constB145, bitIndex1)) <=> ((~v90(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, bitIndex1))),
% 49.45/32.57 inference(rewrite,[status(thm)],[])).
% 49.45/32.57 tff(20097,plain,
% 49.45/32.57 (((~![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)))),
% 49.45/32.57 inference(monotonicity,[status(thm)],[20096])).
% 49.45/32.57 tff(20098,plain,
% 49.45/32.57 (((~![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))),
% 49.45/32.57 inference(transitivity,[status(thm)],[20097, 20095])).
% 49.45/32.57 tff(20099,plain,
% 49.45/32.57 ((~![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))),
% 49.45/32.57 inference(quant_inst,[status(thm)],[])).
% 49.45/32.57 tff(20100,plain,
% 49.45/32.57 ((~![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)),
% 49.45/32.57 inference(modus_ponens,[status(thm)],[20099, 20098])).
% 49.45/32.57 tff(20101,plain,
% 49.45/32.57 ((~v90(constB144, bitIndex1)) | v100(constB145) | v90(constB145, bitIndex1)),
% 49.45/32.57 inference(unit_resolution,[status(thm)],[20100, 747, 20051])).
% 49.45/32.57 tff(20102,plain,
% 49.45/32.57 ((~v90(constB144, bitIndex1)) | v90(constB145, bitIndex1)),
% 49.45/32.57 inference(unit_resolution,[status(thm)],[20101, 20063])).
% 49.45/32.57 tff(20103,plain,
% 49.45/32.57 (v90(constB145, bitIndex1)),
% 49.45/32.57 inference(unit_resolution,[status(thm)],[20102, 20094])).
% 49.45/32.57 tff(20104,plain,
% 49.45/32.57 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB143)) | (~v130(constB143, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB143)) | (~v130(constB143, bitIndex0)))),
% 49.45/32.57 inference(rewrite,[status(thm)],[])).
% 49.45/32.57 tff(20105,plain,
% 49.45/32.57 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB143)) | (~v130(constB143, bitIndex0)))),
% 49.45/32.57 inference(quant_inst,[status(thm)],[])).
% 49.45/32.57 tff(20106,plain,
% 49.45/32.57 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB143)) | (~v130(constB143, bitIndex0))),
% 49.45/32.57 inference(modus_ponens,[status(thm)],[20105, 20104])).
% 49.45/32.57 tff(20107,plain,
% 49.45/32.57 (~v130(constB143, bitIndex0)),
% 49.45/32.57 inference(unit_resolution,[status(thm)],[20106, 975, 19953])).
% 49.45/32.57 tff(20108,plain,
% 49.45/32.57 (((~![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))),
% 49.45/32.57 inference(rewrite,[status(thm)],[])).
% 49.45/32.57 tff(20109,plain,
% 49.45/32.57 ((v26(constB143) | v130(constB143, bitIndex0) | (~v127(constB143, bitIndex0))) <=> ((~v127(constB143, bitIndex0)) | v26(constB143) | v130(constB143, bitIndex0))),
% 49.45/32.57 inference(rewrite,[status(thm)],[])).
% 49.45/32.57 tff(20110,plain,
% 49.45/32.57 (((~![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)))),
% 49.45/32.57 inference(monotonicity,[status(thm)],[20109])).
% 49.45/32.57 tff(20111,plain,
% 49.45/32.57 (((~![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))),
% 49.45/32.57 inference(transitivity,[status(thm)],[20110, 20108])).
% 49.45/32.57 tff(20112,plain,
% 49.45/32.57 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB143) | v130(constB143, bitIndex0) | (~v127(constB143, bitIndex0)))),
% 49.45/32.57 inference(quant_inst,[status(thm)],[])).
% 49.45/32.57 tff(20113,plain,
% 49.45/32.57 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB143, bitIndex0)) | v26(constB143) | v130(constB143, bitIndex0)),
% 49.45/32.57 inference(modus_ponens,[status(thm)],[20112, 20111])).
% 49.45/32.57 tff(20114,plain,
% 49.45/32.57 ((~v127(constB143, bitIndex0)) | v130(constB143, bitIndex0)),
% 49.45/32.57 inference(unit_resolution,[status(thm)],[20113, 524, 20027])).
% 49.45/32.57 tff(20115,plain,
% 49.45/32.57 (~v127(constB143, bitIndex0)),
% 49.45/32.57 inference(unit_resolution,[status(thm)],[20114, 20107])).
% 49.45/32.57 tff(20116,plain,
% 49.45/32.57 (((~![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)))),
% 49.45/32.57 inference(rewrite,[status(thm)],[])).
% 49.45/32.57 tff(20117,plain,
% 49.45/32.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB143, constB144)) | v127(constB143, bitIndex0) | (~v129(constB144, bitIndex0)))),
% 49.45/32.57 inference(quant_inst,[status(thm)],[])).
% 49.45/32.57 tff(20118,plain,
% 49.45/32.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB143, constB144)) | v127(constB143, bitIndex0) | (~v129(constB144, bitIndex0))),
% 49.45/32.57 inference(modus_ponens,[status(thm)],[20117, 20116])).
% 49.45/32.57 tff(20119,plain,
% 49.45/32.57 (v127(constB143, bitIndex0) | (~v129(constB144, bitIndex0))),
% 49.45/32.57 inference(unit_resolution,[status(thm)],[20118, 542, 19985])).
% 49.45/32.57 tff(20120,plain,
% 49.45/32.57 (~v129(constB144, bitIndex0)),
% 49.45/32.57 inference(unit_resolution,[status(thm)],[20119, 20115])).
% 49.45/32.57 tff(20121,plain,
% 49.45/32.57 (((~![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)))),
% 49.45/32.57 inference(rewrite,[status(thm)],[])).
% 49.45/32.57 tff(20122,plain,
% 49.45/32.57 (((~v90(constB144, bitIndex0)) | (~v100(constB144)) | v129(constB144, bitIndex0)) <=> ((~v90(constB144, bitIndex0)) | v129(constB144, bitIndex0) | (~v100(constB144)))),
% 49.45/32.57 inference(rewrite,[status(thm)],[])).
% 49.45/32.57 tff(20123,plain,
% 49.45/32.57 (((~![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))))),
% 49.45/32.57 inference(monotonicity,[status(thm)],[20122])).
% 49.45/32.57 tff(20124,plain,
% 49.45/32.57 (((~![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)))),
% 49.45/32.57 inference(transitivity,[status(thm)],[20123, 20121])).
% 49.45/32.57 tff(20125,plain,
% 49.45/32.57 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB144, bitIndex0)) | (~v100(constB144)) | v129(constB144, bitIndex0))),
% 49.45/32.57 inference(quant_inst,[status(thm)],[])).
% 49.45/32.57 tff(20126,plain,
% 49.45/32.57 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB144, bitIndex0)) | v129(constB144, bitIndex0) | (~v100(constB144))),
% 49.45/32.57 inference(modus_ponens,[status(thm)],[20125, 20124])).
% 49.45/32.57 tff(20127,plain,
% 49.45/32.57 ((~v90(constB144, bitIndex0)) | (~v100(constB144))),
% 49.45/32.57 inference(unit_resolution,[status(thm)],[20126, 557, 20120])).
% 49.45/32.57 tff(20128,plain,
% 49.45/32.57 (~v90(constB144, bitIndex0)),
% 49.45/32.57 inference(unit_resolution,[status(thm)],[20127, 20019])).
% 49.45/32.57 tff(20129,plain,
% 49.45/32.57 (((~![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)))),
% 49.45/32.57 inference(rewrite,[status(thm)],[])).
% 49.45/32.57 tff(20130,plain,
% 49.45/32.57 (((~nextState(constB144, constB145)) | v90(constB144, bitIndex0) | v100(constB145) | (~v90(constB145, bitIndex0))) <=> (v90(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, bitIndex0)))),
% 49.45/32.57 inference(rewrite,[status(thm)],[])).
% 49.45/32.57 tff(20131,plain,
% 49.45/32.57 (((~![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))))),
% 49.45/32.57 inference(monotonicity,[status(thm)],[20130])).
% 49.45/32.57 tff(20132,plain,
% 49.45/32.57 (((~![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)))),
% 49.45/32.57 inference(transitivity,[status(thm)],[20131, 20129])).
% 49.45/32.57 tff(20133,plain,
% 49.45/32.57 ((~![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)))),
% 49.45/32.57 inference(quant_inst,[status(thm)],[])).
% 49.45/32.57 tff(20134,plain,
% 49.45/32.57 ((~![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))),
% 49.45/32.57 inference(modus_ponens,[status(thm)],[20133, 20132])).
% 49.45/32.57 tff(20135,plain,
% 49.45/32.57 (v90(constB144, bitIndex0) | v100(constB145) | (~v90(constB145, bitIndex0))),
% 49.45/32.57 inference(unit_resolution,[status(thm)],[20134, 123, 20051])).
% 49.45/32.57 tff(20136,plain,
% 49.45/32.57 (v90(constB144, bitIndex0) | (~v90(constB145, bitIndex0))),
% 49.45/32.57 inference(unit_resolution,[status(thm)],[20135, 20063])).
% 49.45/32.57 tff(20137,plain,
% 49.45/32.57 (~v90(constB145, bitIndex0)),
% 49.45/32.57 inference(unit_resolution,[status(thm)],[20136, 20128])).
% 49.45/32.57 tff(20138,plain,
% 49.45/32.57 (((~![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))),
% 49.45/32.57 inference(rewrite,[status(thm)],[])).
% 49.45/32.57 tff(20139,plain,
% 49.45/32.57 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2)) | v125(constB145))),
% 49.45/32.57 inference(quant_inst,[status(thm)],[])).
% 49.45/32.57 tff(20140,plain,
% 49.45/32.57 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB145, bitIndex0) | (~v90(constB145, bitIndex1)) | (~v90(constB145, bitIndex2)) | v125(constB145)),
% 49.45/32.57 inference(modus_ponens,[status(thm)],[20139, 20138])).
% 49.45/32.57 tff(20141,plain,
% 49.45/32.57 (v125(constB145)),
% 49.45/32.57 inference(unit_resolution,[status(thm)],[20140, 1019, 20137, 20103, 20072])).
% 49.45/32.57 tff(20142,plain,
% 49.45/32.57 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB145) | (~v125(constB145)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB145) | (~v125(constB145)))),
% 49.45/32.57 inference(rewrite,[status(thm)],[])).
% 49.45/32.57 tff(20143,plain,
% 49.45/32.57 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB145) | (~v125(constB145)))),
% 49.45/32.57 inference(quant_inst,[status(thm)],[])).
% 49.45/32.57 tff(20144,plain,
% 49.45/32.57 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB145) | (~v125(constB145))),
% 49.45/32.57 inference(modus_ponens,[status(thm)],[20143, 20142])).
% 49.45/32.57 tff(20145,plain,
% 49.45/32.57 (v113(constB145)),
% 49.45/32.57 inference(unit_resolution,[status(thm)],[20144, 1031, 20141])).
% 49.45/32.57 tff(20146,assumption,(v26(constB145)), introduced(assumption)).
% 49.45/32.57 tff(20147,plain,
% 49.45/32.57 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB145))),
% 49.45/32.57 inference(quant_inst,[status(thm)],[])).
% 49.45/32.57 tff(20148,plain,
% 49.45/32.57 ($false),
% 49.45/32.57 inference(unit_resolution,[status(thm)],[20147, 16, 20146])).
% 49.45/32.57 tff(20149,plain,(~v26(constB145)), inference(lemma,lemma(discharge,[]))).
% 49.45/32.57 tff(20150,plain,
% 49.45/32.57 (((~![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)))),
% 49.45/32.57 inference(rewrite,[status(thm)],[])).
% 49.45/32.57 tff(20151,plain,
% 49.45/32.57 ((v26(constB145) | (~v113(constB145)) | v112(constB145)) <=> (v26(constB145) | v112(constB145) | (~v113(constB145)))),
% 49.45/32.57 inference(rewrite,[status(thm)],[])).
% 49.45/32.57 tff(20152,plain,
% 49.45/32.57 (((~![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))))),
% 49.45/32.57 inference(monotonicity,[status(thm)],[20151])).
% 49.45/32.57 tff(20153,plain,
% 49.45/32.57 (((~![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)))),
% 49.45/32.57 inference(transitivity,[status(thm)],[20152, 20150])).
% 49.45/32.57 tff(20154,plain,
% 49.45/32.57 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB145) | (~v113(constB145)) | v112(constB145))),
% 49.45/32.57 inference(quant_inst,[status(thm)],[])).
% 49.45/32.57 tff(20155,plain,
% 49.45/32.57 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB145) | v112(constB145) | (~v113(constB145))),
% 49.45/32.57 inference(modus_ponens,[status(thm)],[20154, 20153])).
% 49.45/32.57 tff(20156,plain,
% 49.45/32.57 (v112(constB145) | (~v113(constB145))),
% 49.45/32.57 inference(unit_resolution,[status(thm)],[20155, 224, 20149])).
% 49.45/32.57 tff(20157,plain,
% 49.45/32.57 (v112(constB145)),
% 49.45/32.57 inference(unit_resolution,[status(thm)],[20156, 20145])).
% 49.45/32.57 tff(20158,plain,
% 49.45/32.57 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB145) | (~v112(constB145)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB145) | (~v112(constB145)))),
% 49.45/32.57 inference(rewrite,[status(thm)],[])).
% 49.45/32.57 tff(20159,plain,
% 49.45/32.57 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB145) | (~v112(constB145)))),
% 49.45/32.57 inference(quant_inst,[status(thm)],[])).
% 49.45/32.57 tff(20160,plain,
% 49.45/32.57 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB145) | (~v112(constB145))),
% 49.45/32.57 inference(modus_ponens,[status(thm)],[20159, 20158])).
% 49.45/32.57 tff(20161,plain,
% 49.45/32.57 (v108(constB145)),
% 49.45/32.57 inference(unit_resolution,[status(thm)],[20160, 236, 20157])).
% 49.45/32.57 tff(20162,plain,
% 49.45/32.57 (nextState(constB145, constB146) <=> nextState(constB145, constB146)),
% 49.45/32.57 inference(rewrite,[status(thm)],[])).
% 49.45/32.57 tff(20163,axiom,(nextState(constB145, constB146)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_145_1')).
% 49.45/32.57 tff(20164,plain,
% 49.45/32.57 (nextState(constB145, constB146)),
% 49.45/32.57 inference(modus_ponens,[status(thm)],[20163, 20162])).
% 49.45/32.57 tff(20165,plain,
% 49.45/32.57 (((~![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)))),
% 49.45/32.57 inference(rewrite,[status(thm)],[])).
% 49.45/32.57 tff(20166,plain,
% 49.45/32.57 (((~nextState(constB145, constB146)) | (~v108(constB145)) | v110(constB146)) <=> ((~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145)))),
% 49.45/32.57 inference(rewrite,[status(thm)],[])).
% 49.45/32.57 tff(20167,plain,
% 49.45/32.57 (((~![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))))),
% 49.45/32.57 inference(monotonicity,[status(thm)],[20166])).
% 49.45/32.57 tff(20168,plain,
% 49.45/32.57 (((~![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)))),
% 49.45/32.57 inference(transitivity,[status(thm)],[20167, 20165])).
% 49.45/32.57 tff(20169,plain,
% 49.45/32.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB145, constB146)) | (~v108(constB145)) | v110(constB146))),
% 49.45/32.57 inference(quant_inst,[status(thm)],[])).
% 49.45/32.57 tff(20170,plain,
% 49.45/32.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145))),
% 49.45/32.57 inference(modus_ponens,[status(thm)],[20169, 20168])).
% 49.45/32.57 tff(20171,plain,
% 49.45/32.57 (v110(constB146) | (~v108(constB145))),
% 49.45/32.57 inference(unit_resolution,[status(thm)],[20170, 253, 20164])).
% 49.45/32.57 tff(20172,plain,
% 49.45/32.57 (v110(constB146)),
% 49.45/32.57 inference(unit_resolution,[status(thm)],[20171, 20161])).
% 49.45/32.57 tff(20173,plain,
% 49.45/32.57 (((~![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)))),
% 49.45/32.57 inference(rewrite,[status(thm)],[])).
% 49.45/32.57 tff(20174,plain,
% 49.45/32.57 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB145) | (~nextState(constB145, constB146)) | (~v104(constB146)))),
% 49.45/32.57 inference(quant_inst,[status(thm)],[])).
% 49.45/32.57 tff(20175,plain,
% 49.45/32.57 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB145) | (~nextState(constB145, constB146)) | (~v104(constB146))),
% 49.45/32.57 inference(modus_ponens,[status(thm)],[20174, 20173])).
% 49.45/32.57 tff(20176,plain,
% 49.45/32.57 (~v104(constB146)),
% 49.45/32.57 inference(unit_resolution,[status(thm)],[20175, 271, 20164, 20048])).
% 49.45/32.57 tff(20177,plain,
% 49.45/32.57 (((~![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))),
% 49.45/32.57 inference(rewrite,[status(thm)],[])).
% 49.45/32.57 tff(20178,plain,
% 49.45/32.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB145, constB146)) | v102(constB146) | v104(constB146))),
% 49.45/32.57 inference(quant_inst,[status(thm)],[])).
% 49.45/32.57 tff(20179,plain,
% 49.45/32.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB145, constB146)) | v102(constB146) | v104(constB146)),
% 49.45/32.57 inference(modus_ponens,[status(thm)],[20178, 20177])).
% 49.45/32.57 tff(20180,plain,
% 49.45/32.57 (v102(constB146) | v104(constB146)),
% 49.45/32.57 inference(unit_resolution,[status(thm)],[20179, 285, 20164])).
% 49.45/32.57 tff(20181,plain,
% 49.45/32.57 (v102(constB146)),
% 49.45/32.57 inference(unit_resolution,[status(thm)],[20180, 20176])).
% 49.45/32.57 tff(20182,plain,
% 49.45/32.57 (v1(constB146) <=> v1(constB146)),
% 49.45/32.58 inference(rewrite,[status(thm)],[])).
% 49.45/32.58 tff(20183,axiom,(v1(constB146)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_146_1')).
% 49.45/32.58 tff(20184,plain,
% 49.45/32.58 (v1(constB146)),
% 49.45/32.58 inference(modus_ponens,[status(thm)],[20183, 20182])).
% 49.45/32.58 tff(20185,plain,
% 49.45/32.58 (((~![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)))),
% 49.45/32.58 inference(rewrite,[status(thm)],[])).
% 49.45/32.58 tff(20186,plain,
% 49.45/32.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB145, constB146)) | v101(constB146) | (~v102(constB146)) | (~v1(constB146)))),
% 49.45/32.58 inference(quant_inst,[status(thm)],[])).
% 49.45/32.58 tff(20187,plain,
% 49.45/32.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB145, constB146)) | v101(constB146) | (~v102(constB146)) | (~v1(constB146))),
% 49.45/32.58 inference(modus_ponens,[status(thm)],[20186, 20185])).
% 49.45/32.58 tff(20188,plain,
% 49.45/32.58 (v101(constB146) | (~v102(constB146))),
% 49.45/32.58 inference(unit_resolution,[status(thm)],[20187, 303, 20164, 20184])).
% 49.45/32.58 tff(20189,plain,
% 49.45/32.58 (v101(constB146)),
% 49.45/32.58 inference(unit_resolution,[status(thm)],[20188, 20181])).
% 49.45/32.58 tff(20190,plain,
% 49.45/32.58 (((~![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)))),
% 49.45/32.58 inference(rewrite,[status(thm)],[])).
% 49.45/32.58 tff(20191,plain,
% 49.45/32.58 (((~nextState(constB145, constB146)) | (~v101(constB146)) | (~v110(constB146)) | v100(constB146)) <=> ((~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146)))),
% 49.45/32.58 inference(rewrite,[status(thm)],[])).
% 49.45/32.58 tff(20192,plain,
% 49.45/32.58 (((~![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))))),
% 49.45/32.58 inference(monotonicity,[status(thm)],[20191])).
% 49.45/32.58 tff(20193,plain,
% 49.45/32.58 (((~![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)))),
% 49.45/32.58 inference(transitivity,[status(thm)],[20192, 20190])).
% 49.45/32.58 tff(20194,plain,
% 49.45/32.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB145, constB146)) | (~v101(constB146)) | (~v110(constB146)) | v100(constB146))),
% 49.45/32.58 inference(quant_inst,[status(thm)],[])).
% 49.45/32.58 tff(20195,plain,
% 49.45/32.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146))),
% 49.45/32.58 inference(modus_ponens,[status(thm)],[20194, 20193])).
% 49.45/32.58 tff(20196,plain,
% 49.45/32.58 (v100(constB146) | (~v101(constB146)) | (~v110(constB146))),
% 49.45/32.58 inference(unit_resolution,[status(thm)],[20195, 318, 20164])).
% 49.45/32.58 tff(20197,plain,
% 49.45/32.58 (v100(constB146) | (~v110(constB146))),
% 49.45/32.58 inference(unit_resolution,[status(thm)],[20196, 20189])).
% 49.45/32.58 tff(20198,plain,
% 49.45/32.58 (v100(constB146)),
% 49.45/32.58 inference(unit_resolution,[status(thm)],[20197, 20172])).
% 49.45/32.58 tff(20199,plain,
% 49.45/32.58 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB145, bitIndex2)) | (~v122(constB145)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB145, bitIndex2)) | (~v122(constB145)))),
% 49.45/32.58 inference(rewrite,[status(thm)],[])).
% 49.45/32.58 tff(20200,plain,
% 49.45/32.58 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB145, bitIndex2)) | (~v122(constB145)))),
% 49.45/32.58 inference(quant_inst,[status(thm)],[])).
% 49.45/32.58 tff(20201,plain,
% 49.45/32.58 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB145, bitIndex2)) | (~v122(constB145))),
% 49.45/32.58 inference(modus_ponens,[status(thm)],[20200, 20199])).
% 49.45/32.58 tff(20202,plain,
% 49.45/32.58 (~v122(constB145)),
% 49.45/32.58 inference(unit_resolution,[status(thm)],[20201, 894, 20072])).
% 49.45/32.58 tff(20203,plain,
% 49.45/32.58 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB145, bitIndex1)) | (~v124(constB145)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB145, bitIndex1)) | (~v124(constB145)))),
% 49.45/32.58 inference(rewrite,[status(thm)],[])).
% 49.45/32.58 tff(20204,plain,
% 49.45/32.58 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB145, bitIndex1)) | (~v124(constB145)))),
% 49.45/32.58 inference(quant_inst,[status(thm)],[])).
% 49.45/32.58 tff(20205,plain,
% 49.45/32.58 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB145, bitIndex1)) | (~v124(constB145))),
% 49.45/32.58 inference(modus_ponens,[status(thm)],[20204, 20203])).
% 49.45/32.58 tff(20206,plain,
% 49.45/32.58 (~v124(constB145)),
% 49.45/32.58 inference(unit_resolution,[status(thm)],[20205, 763, 20103])).
% 49.45/32.58 tff(20207,plain,
% 49.45/32.58 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB145, bitIndex2)) | (~v121(constB145)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB145, bitIndex2)) | (~v121(constB145)))),
% 49.45/32.58 inference(rewrite,[status(thm)],[])).
% 49.45/32.58 tff(20208,plain,
% 49.45/32.58 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB145, bitIndex2)) | (~v121(constB145)))),
% 49.45/32.58 inference(quant_inst,[status(thm)],[])).
% 49.45/32.58 tff(20209,plain,
% 49.45/32.58 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB145, bitIndex2)) | (~v121(constB145))),
% 49.45/32.58 inference(modus_ponens,[status(thm)],[20208, 20207])).
% 49.45/32.58 tff(20210,plain,
% 49.45/32.58 (~v121(constB145)),
% 49.45/32.58 inference(unit_resolution,[status(thm)],[20209, 883, 20072])).
% 49.45/32.58 tff(20211,plain,
% 49.45/32.58 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB145)) | (~v90(constB145, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB145)) | (~v90(constB145, bitIndex1)))),
% 49.45/32.58 inference(rewrite,[status(thm)],[])).
% 49.45/32.58 tff(20212,plain,
% 49.45/32.58 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB145)) | (~v90(constB145, bitIndex1)))),
% 49.45/32.58 inference(quant_inst,[status(thm)],[])).
% 49.45/32.58 tff(20213,plain,
% 49.45/32.58 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB145)) | (~v90(constB145, bitIndex1))),
% 49.45/32.58 inference(modus_ponens,[status(thm)],[20212, 20211])).
% 49.45/32.58 tff(20214,plain,
% 49.45/32.58 (~v119(constB145)),
% 49.45/32.58 inference(unit_resolution,[status(thm)],[20213, 2293, 20103])).
% 49.45/32.58 tff(20215,plain,
% 49.45/32.58 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB145, bitIndex1)) | (~v123(constB145)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB145, bitIndex1)) | (~v123(constB145)))),
% 49.45/32.58 inference(rewrite,[status(thm)],[])).
% 49.45/32.58 tff(20216,plain,
% 49.45/32.58 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB145, bitIndex1)) | (~v123(constB145)))),
% 49.45/32.58 inference(quant_inst,[status(thm)],[])).
% 49.45/32.58 tff(20217,plain,
% 49.45/32.58 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB145, bitIndex1)) | (~v123(constB145))),
% 49.45/32.58 inference(modus_ponens,[status(thm)],[20216, 20215])).
% 49.45/32.58 tff(20218,plain,
% 49.45/32.58 (~v123(constB145)),
% 49.45/32.58 inference(unit_resolution,[status(thm)],[20217, 774, 20103])).
% 49.45/32.58 tff(20219,plain,
% 49.45/32.58 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB145, bitIndex1)) | (~v120(constB145)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB145, bitIndex1)) | (~v120(constB145)))),
% 49.45/32.58 inference(rewrite,[status(thm)],[])).
% 49.45/32.58 tff(20220,plain,
% 49.45/32.58 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB145, bitIndex1)) | (~v120(constB145)))),
% 49.45/32.58 inference(quant_inst,[status(thm)],[])).
% 49.45/32.58 tff(20221,plain,
% 49.45/32.58 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB145, bitIndex1)) | (~v120(constB145))),
% 49.45/32.58 inference(modus_ponens,[status(thm)],[20220, 20219])).
% 49.45/32.58 tff(20222,plain,
% 49.45/32.58 (~v120(constB145)),
% 49.45/32.58 inference(unit_resolution,[status(thm)],[20221, 2312, 20103])).
% 49.45/32.58 tff(20223,plain,
% 49.45/32.58 (((~![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))),
% 49.45/32.58 inference(rewrite,[status(thm)],[])).
% 49.45/32.58 tff(20224,plain,
% 49.45/32.58 ((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))),
% 49.45/32.58 inference(rewrite,[status(thm)],[])).
% 49.45/32.58 tff(20225,plain,
% 49.45/32.58 (((~![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)))),
% 49.45/32.58 inference(monotonicity,[status(thm)],[20224])).
% 49.45/32.58 tff(20226,plain,
% 49.45/32.58 (((~![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))),
% 49.45/32.58 inference(transitivity,[status(thm)],[20225, 20223])).
% 49.45/32.58 tff(20227,plain,
% 49.45/32.58 ((~![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)))),
% 49.45/32.58 inference(quant_inst,[status(thm)],[])).
% 49.45/32.58 tff(20228,plain,
% 49.45/32.58 ((~![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)),
% 49.45/32.58 inference(modus_ponens,[status(thm)],[20227, 20226])).
% 49.45/32.58 tff(20229,plain,
% 49.45/32.58 (~v130(constB145, bitIndex2)),
% 49.45/32.58 inference(unit_resolution,[status(thm)],[20228, 1192, 20222, 20218, 20214, 20210, 20206, 20202])).
% 49.45/32.58 tff(20230,plain,
% 49.45/32.58 (((~![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))),
% 49.45/32.58 inference(rewrite,[status(thm)],[])).
% 49.45/32.58 tff(20231,plain,
% 49.45/32.58 ((v26(constB145) | v130(constB145, bitIndex2) | (~v127(constB145, bitIndex2))) <=> ((~v127(constB145, bitIndex2)) | v26(constB145) | v130(constB145, bitIndex2))),
% 49.45/32.58 inference(rewrite,[status(thm)],[])).
% 49.45/32.58 tff(20232,plain,
% 49.45/32.58 (((~![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)))),
% 49.45/32.58 inference(monotonicity,[status(thm)],[20231])).
% 49.45/32.58 tff(20233,plain,
% 49.45/32.58 (((~![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))),
% 49.45/32.58 inference(transitivity,[status(thm)],[20232, 20230])).
% 49.45/32.58 tff(20234,plain,
% 49.45/32.58 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB145) | v130(constB145, bitIndex2) | (~v127(constB145, bitIndex2)))),
% 49.45/32.58 inference(quant_inst,[status(thm)],[])).
% 49.45/32.58 tff(20235,plain,
% 49.45/32.58 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB145, bitIndex2)) | v26(constB145) | v130(constB145, bitIndex2)),
% 49.45/32.58 inference(modus_ponens,[status(thm)],[20234, 20233])).
% 49.45/32.58 tff(20236,plain,
% 49.45/32.58 ((~v127(constB145, bitIndex2)) | v130(constB145, bitIndex2)),
% 49.45/32.58 inference(unit_resolution,[status(thm)],[20235, 1210, 20149])).
% 49.45/32.58 tff(20237,plain,
% 49.45/32.58 (~v127(constB145, bitIndex2)),
% 49.45/32.58 inference(unit_resolution,[status(thm)],[20236, 20229])).
% 49.45/32.58 tff(20238,plain,
% 49.45/32.58 (((~![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)))),
% 49.45/32.58 inference(rewrite,[status(thm)],[])).
% 49.45/32.58 tff(20239,plain,
% 49.45/32.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB145, constB146)) | v127(constB145, bitIndex2) | (~v129(constB146, bitIndex2)))),
% 49.45/32.58 inference(quant_inst,[status(thm)],[])).
% 49.45/32.58 tff(20240,plain,
% 49.45/32.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB145, constB146)) | v127(constB145, bitIndex2) | (~v129(constB146, bitIndex2))),
% 49.45/32.58 inference(modus_ponens,[status(thm)],[20239, 20238])).
% 49.45/32.58 tff(20241,plain,
% 49.45/32.58 (v127(constB145, bitIndex2) | (~v129(constB146, bitIndex2))),
% 49.45/32.58 inference(unit_resolution,[status(thm)],[20240, 1243, 20164])).
% 49.45/32.58 tff(20242,plain,
% 49.45/32.58 (~v129(constB146, bitIndex2)),
% 49.45/32.58 inference(unit_resolution,[status(thm)],[20241, 20237])).
% 49.45/32.58 tff(20243,plain,
% 49.45/32.58 (((~![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)))),
% 49.45/32.58 inference(rewrite,[status(thm)],[])).
% 49.45/32.58 tff(20244,plain,
% 49.45/32.58 (((~v90(constB146, bitIndex2)) | (~v100(constB146)) | v129(constB146, bitIndex2)) <=> ((~v90(constB146, bitIndex2)) | v129(constB146, bitIndex2) | (~v100(constB146)))),
% 49.45/32.58 inference(rewrite,[status(thm)],[])).
% 49.45/32.58 tff(20245,plain,
% 49.45/32.58 (((~![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))))),
% 49.45/32.58 inference(monotonicity,[status(thm)],[20244])).
% 49.45/32.58 tff(20246,plain,
% 49.45/32.58 (((~![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)))),
% 49.45/32.58 inference(transitivity,[status(thm)],[20245, 20243])).
% 49.45/32.58 tff(20247,plain,
% 49.45/32.58 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB146, bitIndex2)) | (~v100(constB146)) | v129(constB146, bitIndex2))),
% 49.45/32.58 inference(quant_inst,[status(thm)],[])).
% 49.45/32.58 tff(20248,plain,
% 49.45/32.58 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB146, bitIndex2)) | v129(constB146, bitIndex2) | (~v100(constB146))),
% 49.45/32.58 inference(modus_ponens,[status(thm)],[20247, 20246])).
% 49.45/32.58 tff(20249,plain,
% 49.45/32.58 ((~v90(constB146, bitIndex2)) | (~v100(constB146))),
% 49.45/32.58 inference(unit_resolution,[status(thm)],[20248, 1258, 20242])).
% 49.45/32.58 tff(20250,plain,
% 49.45/32.58 (~v90(constB146, bitIndex2)),
% 49.45/32.58 inference(unit_resolution,[status(thm)],[20249, 20198])).
% 49.45/32.58 tff(20251,plain,
% 49.45/32.58 ((~v1(constB147)) <=> (~v1(constB147))),
% 49.45/32.58 inference(rewrite,[status(thm)],[])).
% 49.45/32.58 tff(20252,axiom,(~v1(constB147)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_147_1_1')).
% 49.45/32.58 tff(20253,plain,
% 49.45/32.58 (~v1(constB147)),
% 49.45/32.58 inference(modus_ponens,[status(thm)],[20252, 20251])).
% 49.45/32.58 tff(20254,plain,
% 49.45/32.58 (nextState(constB146, constB147) <=> nextState(constB146, constB147)),
% 49.45/32.58 inference(rewrite,[status(thm)],[])).
% 49.45/32.58 tff(20255,axiom,(nextState(constB146, constB147)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_146_1')).
% 49.45/32.58 tff(20256,plain,
% 49.45/32.58 (nextState(constB146, constB147)),
% 49.45/32.58 inference(modus_ponens,[status(thm)],[20255, 20254])).
% 49.45/32.58 tff(20257,plain,
% 49.45/32.58 (((~![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)))),
% 49.45/32.58 inference(rewrite,[status(thm)],[])).
% 49.45/32.58 tff(20258,plain,
% 49.45/32.58 (((~nextState(constB146, constB147)) | (~v101(constB147)) | v1(constB147)) <=> (v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147)))),
% 49.45/32.58 inference(rewrite,[status(thm)],[])).
% 49.45/32.58 tff(20259,plain,
% 49.45/32.58 (((~![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))))),
% 49.45/32.58 inference(monotonicity,[status(thm)],[20258])).
% 49.45/32.58 tff(20260,plain,
% 49.45/32.58 (((~![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)))),
% 49.45/32.58 inference(transitivity,[status(thm)],[20259, 20257])).
% 49.45/32.58 tff(20261,plain,
% 49.45/32.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB146, constB147)) | (~v101(constB147)) | v1(constB147))),
% 49.45/32.58 inference(quant_inst,[status(thm)],[])).
% 49.45/32.58 tff(20262,plain,
% 49.45/32.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147))),
% 49.45/32.58 inference(modus_ponens,[status(thm)],[20261, 20260])).
% 49.45/32.58 tff(20263,plain,
% 49.45/32.58 (~v101(constB147)),
% 49.45/32.58 inference(unit_resolution,[status(thm)],[20262, 49, 20256, 20253])).
% 49.45/32.58 tff(20264,plain,
% 49.45/32.58 (((~![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)))),
% 49.45/32.58 inference(rewrite,[status(thm)],[])).
% 49.45/32.58 tff(20265,plain,
% 49.45/32.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB146, constB147)) | v101(constB147) | (~v100(constB147)))),
% 49.45/32.58 inference(quant_inst,[status(thm)],[])).
% 49.45/32.58 tff(20266,plain,
% 49.45/32.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB146, constB147)) | v101(constB147) | (~v100(constB147))),
% 49.45/32.58 inference(modus_ponens,[status(thm)],[20265, 20264])).
% 49.45/32.58 tff(20267,plain,
% 49.45/32.58 (v101(constB147) | (~v100(constB147))),
% 49.45/32.58 inference(unit_resolution,[status(thm)],[20266, 66, 20256])).
% 49.45/32.58 tff(20268,plain,
% 49.45/32.58 (~v100(constB147)),
% 49.45/32.58 inference(unit_resolution,[status(thm)],[20267, 20263])).
% 49.45/32.58 tff(20269,plain,
% 49.45/32.58 (((~![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)))),
% 49.45/32.58 inference(rewrite,[status(thm)],[])).
% 49.45/32.58 tff(20270,plain,
% 49.45/32.58 (((~nextState(constB146, constB147)) | v90(constB146, bitIndex2) | v100(constB147) | (~v90(constB147, bitIndex2))) <=> (v90(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex2)))),
% 49.45/32.58 inference(rewrite,[status(thm)],[])).
% 49.45/32.58 tff(20271,plain,
% 49.45/32.58 (((~![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))))),
% 49.45/32.58 inference(monotonicity,[status(thm)],[20270])).
% 49.45/32.58 tff(20272,plain,
% 49.45/32.58 (((~![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)))),
% 49.45/32.58 inference(transitivity,[status(thm)],[20271, 20269])).
% 49.45/32.58 tff(20273,plain,
% 49.45/32.58 ((~![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)))),
% 49.45/32.58 inference(quant_inst,[status(thm)],[])).
% 49.45/32.58 tff(20274,plain,
% 49.45/32.58 ((~![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))),
% 49.45/32.58 inference(modus_ponens,[status(thm)],[20273, 20272])).
% 49.45/32.58 tff(20275,plain,
% 49.45/32.58 (v90(constB146, bitIndex2) | v100(constB147) | (~v90(constB147, bitIndex2))),
% 49.45/32.58 inference(unit_resolution,[status(thm)],[20274, 81, 20256])).
% 49.45/32.58 tff(20276,plain,
% 49.45/32.58 (v90(constB146, bitIndex2) | (~v90(constB147, bitIndex2))),
% 49.45/32.58 inference(unit_resolution,[status(thm)],[20275, 20268])).
% 49.45/32.58 tff(20277,plain,
% 49.45/32.58 (~v90(constB147, bitIndex2)),
% 49.45/32.58 inference(unit_resolution,[status(thm)],[20276, 20250])).
% 49.45/32.58 tff(20278,plain,
% 49.45/32.58 (((~![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))),
% 49.45/32.58 inference(rewrite,[status(thm)],[])).
% 49.45/32.58 tff(20279,plain,
% 49.45/32.58 ((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))),
% 49.45/32.58 inference(rewrite,[status(thm)],[])).
% 49.45/32.58 tff(20280,plain,
% 49.45/32.58 (((~![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)))),
% 49.45/32.58 inference(monotonicity,[status(thm)],[20279])).
% 49.45/32.58 tff(20281,plain,
% 49.45/32.58 (((~![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))),
% 49.45/32.58 inference(transitivity,[status(thm)],[20280, 20278])).
% 49.45/32.58 tff(20282,plain,
% 49.45/32.58 ((~![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)))),
% 49.45/32.58 inference(quant_inst,[status(thm)],[])).
% 49.45/32.58 tff(20283,plain,
% 49.45/32.58 ((~![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)),
% 49.45/32.58 inference(modus_ponens,[status(thm)],[20282, 20281])).
% 49.45/32.58 tff(20284,plain,
% 49.45/32.58 (~v130(constB145, bitIndex1)),
% 49.45/32.58 inference(unit_resolution,[status(thm)],[20283, 1143, 20222, 20218, 20214, 20210, 20206, 20202])).
% 49.45/32.58 tff(20285,plain,
% 49.45/32.58 (((~![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))),
% 49.45/32.58 inference(rewrite,[status(thm)],[])).
% 49.45/32.58 tff(20286,plain,
% 49.45/32.58 ((v26(constB145) | v130(constB145, bitIndex1) | (~v127(constB145, bitIndex1))) <=> ((~v127(constB145, bitIndex1)) | v26(constB145) | v130(constB145, bitIndex1))),
% 49.45/32.58 inference(rewrite,[status(thm)],[])).
% 49.45/32.58 tff(20287,plain,
% 49.45/32.58 (((~![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)))),
% 49.45/32.58 inference(monotonicity,[status(thm)],[20286])).
% 49.45/32.58 tff(20288,plain,
% 49.45/32.58 (((~![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))),
% 49.45/32.58 inference(transitivity,[status(thm)],[20287, 20285])).
% 49.45/32.58 tff(20289,plain,
% 49.45/32.58 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB145) | v130(constB145, bitIndex1) | (~v127(constB145, bitIndex1)))),
% 49.45/32.58 inference(quant_inst,[status(thm)],[])).
% 49.45/32.58 tff(20290,plain,
% 49.45/32.58 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB145, bitIndex1)) | v26(constB145) | v130(constB145, bitIndex1)),
% 49.45/32.58 inference(modus_ponens,[status(thm)],[20289, 20288])).
% 49.45/32.58 tff(20291,plain,
% 49.45/32.58 ((~v127(constB145, bitIndex1)) | v130(constB145, bitIndex1)),
% 49.45/32.58 inference(unit_resolution,[status(thm)],[20290, 450, 20149])).
% 49.45/32.58 tff(20292,plain,
% 49.45/32.58 (~v127(constB145, bitIndex1)),
% 49.45/32.58 inference(unit_resolution,[status(thm)],[20291, 20284])).
% 49.45/32.58 tff(20293,plain,
% 49.45/32.58 (((~![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)))),
% 49.45/32.58 inference(rewrite,[status(thm)],[])).
% 49.45/32.58 tff(20294,plain,
% 49.45/32.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB145, constB146)) | v127(constB145, bitIndex1) | (~v129(constB146, bitIndex1)))),
% 49.45/32.58 inference(quant_inst,[status(thm)],[])).
% 49.45/32.58 tff(20295,plain,
% 49.45/32.58 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB145, constB146)) | v127(constB145, bitIndex1) | (~v129(constB146, bitIndex1))),
% 49.45/32.58 inference(modus_ponens,[status(thm)],[20294, 20293])).
% 49.45/32.58 tff(20296,plain,
% 49.45/32.58 (v127(constB145, bitIndex1) | (~v129(constB146, bitIndex1))),
% 49.45/32.58 inference(unit_resolution,[status(thm)],[20295, 468, 20164])).
% 49.45/32.58 tff(20297,plain,
% 49.45/32.58 (~v129(constB146, bitIndex1)),
% 49.45/32.58 inference(unit_resolution,[status(thm)],[20296, 20292])).
% 49.45/32.58 tff(20298,plain,
% 49.45/32.58 (((~![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)))),
% 49.45/32.59 inference(rewrite,[status(thm)],[])).
% 49.45/32.59 tff(20299,plain,
% 49.45/32.59 (((~v90(constB146, bitIndex1)) | (~v100(constB146)) | v129(constB146, bitIndex1)) <=> ((~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1) | (~v100(constB146)))),
% 49.45/32.59 inference(rewrite,[status(thm)],[])).
% 49.45/32.59 tff(20300,plain,
% 49.45/32.59 (((~![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))))),
% 49.45/32.59 inference(monotonicity,[status(thm)],[20299])).
% 49.45/32.59 tff(20301,plain,
% 49.45/32.59 (((~![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)))),
% 49.45/32.59 inference(transitivity,[status(thm)],[20300, 20298])).
% 49.45/32.59 tff(20302,plain,
% 49.45/32.59 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB146, bitIndex1)) | (~v100(constB146)) | v129(constB146, bitIndex1))),
% 49.45/32.59 inference(quant_inst,[status(thm)],[])).
% 49.45/32.59 tff(20303,plain,
% 49.45/32.59 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB146, bitIndex1)) | v129(constB146, bitIndex1) | (~v100(constB146))),
% 49.45/32.59 inference(modus_ponens,[status(thm)],[20302, 20301])).
% 49.45/32.59 tff(20304,plain,
% 49.45/32.59 ((~v90(constB146, bitIndex1)) | (~v100(constB146))),
% 49.45/32.59 inference(unit_resolution,[status(thm)],[20303, 483, 20297])).
% 49.45/32.59 tff(20305,plain,
% 49.45/32.59 (~v90(constB146, bitIndex1)),
% 49.45/32.59 inference(unit_resolution,[status(thm)],[20304, 20198])).
% 49.45/32.59 tff(20306,plain,
% 49.45/32.59 (((~![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)))),
% 49.45/32.59 inference(rewrite,[status(thm)],[])).
% 49.45/32.59 tff(20307,plain,
% 49.45/32.59 (((~nextState(constB146, constB147)) | v90(constB146, bitIndex1) | v100(constB147) | (~v90(constB147, bitIndex1))) <=> (v90(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, bitIndex1)))),
% 49.45/32.59 inference(rewrite,[status(thm)],[])).
% 49.45/32.59 tff(20308,plain,
% 49.45/32.59 (((~![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))))),
% 49.45/32.59 inference(monotonicity,[status(thm)],[20307])).
% 49.45/32.59 tff(20309,plain,
% 49.45/32.59 (((~![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)))),
% 49.45/32.59 inference(transitivity,[status(thm)],[20308, 20306])).
% 49.45/32.59 tff(20310,plain,
% 49.45/32.59 ((~![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)))),
% 49.45/32.59 inference(quant_inst,[status(thm)],[])).
% 49.45/32.59 tff(20311,plain,
% 49.45/32.59 ((~![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))),
% 49.45/32.59 inference(modus_ponens,[status(thm)],[20310, 20309])).
% 49.45/32.59 tff(20312,plain,
% 49.45/32.59 (v90(constB146, bitIndex1) | v100(constB147) | (~v90(constB147, bitIndex1))),
% 49.45/32.59 inference(unit_resolution,[status(thm)],[20311, 102, 20256])).
% 49.45/32.59 tff(20313,plain,
% 49.45/32.59 (v90(constB146, bitIndex1) | (~v90(constB147, bitIndex1))),
% 49.45/32.59 inference(unit_resolution,[status(thm)],[20312, 20268])).
% 49.45/32.59 tff(20314,plain,
% 49.45/32.59 (~v90(constB147, bitIndex1)),
% 49.45/32.59 inference(unit_resolution,[status(thm)],[20313, 20305])).
% 49.45/32.59 tff(20315,assumption,(~v130(constB145, bitIndex0)), introduced(assumption)).
% 49.45/32.59 tff(20316,plain,
% 49.45/32.59 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB145)) | v130(constB145, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB145)) | v130(constB145, bitIndex0))),
% 49.45/32.59 inference(rewrite,[status(thm)],[])).
% 49.45/32.59 tff(20317,plain,
% 49.45/32.59 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB145)) | v130(constB145, bitIndex0))),
% 49.45/32.59 inference(quant_inst,[status(thm)],[])).
% 49.45/32.59 tff(20318,plain,
% 49.45/32.59 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB145)) | v130(constB145, bitIndex0)),
% 49.45/32.59 inference(modus_ponens,[status(thm)],[20317, 20316])).
% 49.45/32.59 tff(20319,plain,
% 49.45/32.59 (~v124(constB145)),
% 49.45/32.59 inference(unit_resolution,[status(thm)],[20318, 3020, 20315])).
% 49.45/32.59 tff(20320,assumption,(~v123(constB145)), introduced(assumption)).
% 49.45/32.59 tff(20321,plain,
% 49.45/32.59 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB145)) | v130(constB145, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB145)) | v130(constB145, bitIndex0))),
% 49.45/32.59 inference(rewrite,[status(thm)],[])).
% 49.45/32.59 tff(20322,plain,
% 49.45/32.59 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB145)) | v130(constB145, bitIndex0))),
% 49.45/32.59 inference(quant_inst,[status(thm)],[])).
% 49.45/32.59 tff(20323,plain,
% 49.45/32.59 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB145)) | v130(constB145, bitIndex0)),
% 49.45/32.59 inference(modus_ponens,[status(thm)],[20322, 20321])).
% 49.45/32.59 tff(20324,plain,
% 49.45/32.59 (~v121(constB145)),
% 49.45/32.59 inference(unit_resolution,[status(thm)],[20323, 1748, 20315])).
% 49.45/32.59 tff(20325,assumption,(v123(constB143)), introduced(assumption)).
% 49.45/32.59 tff(20326,plain,
% 49.45/32.59 (v115(constB143)),
% 49.45/32.59 inference(unit_resolution,[status(thm)],[19956, 595, 20325])).
% 49.45/32.59 tff(20327,plain,
% 49.45/32.59 (v114(constB143)),
% 49.45/32.59 inference(unit_resolution,[status(thm)],[19960, 199, 20326])).
% 49.45/32.59 tff(20328,plain,
% 49.45/32.59 (v113(constB143)),
% 49.45/32.59 inference(unit_resolution,[status(thm)],[19964, 210, 20327])).
% 49.45/32.59 tff(20329,plain,
% 49.45/32.59 (v108(constB143)),
% 49.45/32.59 inference(unit_resolution,[status(thm)],[19981, 20328])).
% 49.45/32.59 tff(20330,plain,
% 49.45/32.59 (v110(constB144)),
% 49.45/32.59 inference(unit_resolution,[status(thm)],[19992, 20329])).
% 49.45/32.59 tff(20331,plain,
% 49.45/32.59 (v100(constB144)),
% 49.45/32.59 inference(unit_resolution,[status(thm)],[20018, 20330])).
% 49.45/32.59 tff(20332,plain,
% 49.45/32.59 (v130(constB143, bitIndex1)),
% 49.45/32.59 inference(unit_resolution,[status(thm)],[20075, 667, 20325])).
% 49.45/32.59 tff(20333,plain,
% 49.45/32.59 (v127(constB143, bitIndex1)),
% 49.45/32.59 inference(unit_resolution,[status(thm)],[20080, 20332])).
% 49.45/32.59 tff(20334,plain,
% 49.45/32.59 (v129(constB144, bitIndex1)),
% 49.45/32.59 inference(unit_resolution,[status(thm)],[20085, 20333])).
% 49.45/32.59 tff(20335,plain,
% 49.45/32.59 (v90(constB144, bitIndex1) | (~v100(constB144))),
% 49.45/32.59 inference(unit_resolution,[status(thm)],[20092, 711, 20334])).
% 49.45/32.59 tff(20336,plain,
% 49.45/32.59 (v90(constB144, bitIndex1)),
% 49.45/32.59 inference(unit_resolution,[status(thm)],[20335, 20331])).
% 49.45/32.59 tff(20337,plain,
% 49.45/32.59 (v90(constB145, bitIndex1)),
% 49.54/32.59 inference(unit_resolution,[status(thm)],[20102, 20336])).
% 49.54/32.59 tff(20338,plain,
% 49.54/32.59 (~v119(constB145)),
% 49.54/32.59 inference(unit_resolution,[status(thm)],[20213, 2293, 20337])).
% 49.54/32.59 tff(20339,plain,
% 49.54/32.59 (v130(constB143, bitIndex2)),
% 49.54/32.59 inference(unit_resolution,[status(thm)],[20022, 836, 20325])).
% 49.54/32.59 tff(20340,plain,
% 49.54/32.59 (v127(constB143, bitIndex2)),
% 49.54/32.59 inference(unit_resolution,[status(thm)],[20031, 20339])).
% 49.54/32.59 tff(20341,plain,
% 49.54/32.59 (v129(constB144, bitIndex2)),
% 49.54/32.59 inference(unit_resolution,[status(thm)],[20036, 20340])).
% 49.54/32.59 tff(20342,plain,
% 49.54/32.59 (v90(constB144, bitIndex2) | (~v100(constB144))),
% 49.54/32.59 inference(unit_resolution,[status(thm)],[20043, 381, 20341])).
% 49.54/32.59 tff(20343,plain,
% 49.54/32.59 (v90(constB144, bitIndex2)),
% 49.54/32.59 inference(unit_resolution,[status(thm)],[20342, 20331])).
% 49.54/32.59 tff(20344,plain,
% 49.54/32.59 (v90(constB145, bitIndex2)),
% 49.54/32.59 inference(unit_resolution,[status(thm)],[20071, 20343])).
% 49.54/32.59 tff(20345,plain,
% 49.54/32.59 (~v122(constB145)),
% 49.54/32.59 inference(unit_resolution,[status(thm)],[20201, 894, 20344])).
% 49.54/32.59 tff(20346,assumption,(~v120(constB145)), introduced(assumption)).
% 49.54/32.59 tff(20347,plain,
% 49.54/32.59 (((~![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))),
% 49.54/32.59 inference(rewrite,[status(thm)],[])).
% 49.54/32.59 tff(20348,plain,
% 49.54/32.59 ((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))),
% 49.54/32.59 inference(rewrite,[status(thm)],[])).
% 49.54/32.59 tff(20349,plain,
% 49.54/32.59 (((~![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)))),
% 49.54/32.59 inference(monotonicity,[status(thm)],[20348])).
% 49.54/32.59 tff(20350,plain,
% 49.54/32.59 (((~![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))),
% 49.54/32.59 inference(transitivity,[status(thm)],[20349, 20347])).
% 49.54/32.59 tff(20351,plain,
% 49.54/32.59 ((~![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))),
% 49.54/32.59 inference(quant_inst,[status(thm)],[])).
% 49.54/32.59 tff(20352,plain,
% 49.54/32.59 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB145, bitIndex0) | v120(constB145) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145)),
% 49.54/32.59 inference(modus_ponens,[status(thm)],[20351, 20350])).
% 49.54/32.59 tff(20353,plain,
% 49.54/32.59 (v130(constB145, bitIndex0) | v119(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145)),
% 49.54/32.59 inference(unit_resolution,[status(thm)],[20352, 908, 20346])).
% 49.54/32.59 tff(20354,plain,
% 49.54/32.59 ($false),
% 49.54/32.59 inference(unit_resolution,[status(thm)],[20353, 20345, 20338, 20315, 20324, 20320, 20319])).
% 49.54/32.59 tff(20355,plain,((~v123(constB143)) | v130(constB145, bitIndex0) | v123(constB145) | v120(constB145)), inference(lemma,lemma(discharge,[]))).
% 49.54/32.59 tff(20356,plain,
% 49.54/32.59 (v130(constB145, bitIndex0)),
% 49.54/32.59 inference(unit_resolution,[status(thm)],[20355, 20218, 19953, 20222])).
% 49.54/32.59 tff(20357,plain,
% 49.54/32.59 (((~![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))),
% 49.54/32.59 inference(rewrite,[status(thm)],[])).
% 49.54/32.59 tff(20358,plain,
% 49.54/32.59 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB145) | (~v130(constB145, bitIndex0)) | v127(constB145, bitIndex0))),
% 49.54/32.59 inference(quant_inst,[status(thm)],[])).
% 49.54/32.59 tff(20359,plain,
% 49.54/32.59 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB145) | (~v130(constB145, bitIndex0)) | v127(constB145, bitIndex0)),
% 49.54/32.59 inference(modus_ponens,[status(thm)],[20358, 20357])).
% 49.54/32.59 tff(20360,plain,
% 49.54/32.59 ((~v130(constB145, bitIndex0)) | v127(constB145, bitIndex0)),
% 49.54/32.59 inference(unit_resolution,[status(thm)],[20359, 926, 20149])).
% 49.54/32.59 tff(20361,plain,
% 49.54/32.59 (v127(constB145, bitIndex0)),
% 49.54/32.59 inference(unit_resolution,[status(thm)],[20360, 20356])).
% 49.54/32.59 tff(20362,plain,
% 49.54/32.59 (((~![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))),
% 49.54/32.59 inference(rewrite,[status(thm)],[])).
% 49.54/32.59 tff(20363,plain,
% 49.54/32.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB145, constB146)) | (~v127(constB145, bitIndex0)) | v129(constB146, bitIndex0))),
% 49.54/32.59 inference(quant_inst,[status(thm)],[])).
% 49.54/32.59 tff(20364,plain,
% 49.54/32.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB145, constB146)) | (~v127(constB145, bitIndex0)) | v129(constB146, bitIndex0)),
% 49.54/32.59 inference(modus_ponens,[status(thm)],[20363, 20362])).
% 49.54/32.59 tff(20365,plain,
% 49.54/32.59 ((~v127(constB145, bitIndex0)) | v129(constB146, bitIndex0)),
% 49.54/32.59 inference(unit_resolution,[status(thm)],[20364, 944, 20164])).
% 49.54/32.59 tff(20366,plain,
% 49.54/32.59 (v129(constB146, bitIndex0)),
% 49.54/32.59 inference(unit_resolution,[status(thm)],[20365, 20361])).
% 49.54/32.59 tff(20367,plain,
% 49.54/32.59 (((~![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)))),
% 49.54/32.59 inference(rewrite,[status(thm)],[])).
% 49.54/32.59 tff(20368,plain,
% 49.54/32.59 ((v90(constB146, bitIndex0) | (~v100(constB146)) | (~v129(constB146, bitIndex0))) <=> (v90(constB146, bitIndex0) | (~v129(constB146, bitIndex0)) | (~v100(constB146)))),
% 49.54/32.59 inference(rewrite,[status(thm)],[])).
% 49.54/32.59 tff(20369,plain,
% 49.54/32.59 (((~![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))))),
% 49.54/32.59 inference(monotonicity,[status(thm)],[20368])).
% 49.54/32.59 tff(20370,plain,
% 49.54/32.59 (((~![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)))),
% 49.54/32.59 inference(transitivity,[status(thm)],[20369, 20367])).
% 49.54/32.59 tff(20371,plain,
% 49.54/32.59 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB146, bitIndex0) | (~v100(constB146)) | (~v129(constB146, bitIndex0)))),
% 49.54/32.59 inference(quant_inst,[status(thm)],[])).
% 49.54/32.59 tff(20372,plain,
% 49.54/32.59 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB146, bitIndex0) | (~v129(constB146, bitIndex0)) | (~v100(constB146))),
% 49.54/32.59 inference(modus_ponens,[status(thm)],[20371, 20370])).
% 49.54/32.59 tff(20373,plain,
% 49.54/32.59 (v90(constB146, bitIndex0) | (~v100(constB146))),
% 49.54/32.59 inference(unit_resolution,[status(thm)],[20372, 1088, 20366])).
% 49.54/32.59 tff(20374,plain,
% 49.54/32.59 (v90(constB146, bitIndex0)),
% 49.54/32.59 inference(unit_resolution,[status(thm)],[20373, 20198])).
% 49.54/32.59 tff(20375,plain,
% 49.54/32.59 (((~![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))),
% 49.54/32.59 inference(rewrite,[status(thm)],[])).
% 49.54/32.59 tff(20376,plain,
% 49.54/32.59 (((~nextState(constB146, constB147)) | (~v90(constB146, bitIndex0)) | v100(constB147) | v90(constB147, bitIndex0)) <=> ((~v90(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, bitIndex0))),
% 49.54/32.59 inference(rewrite,[status(thm)],[])).
% 49.54/32.59 tff(20377,plain,
% 49.54/32.59 (((~![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)))),
% 49.54/32.59 inference(monotonicity,[status(thm)],[20376])).
% 49.54/32.59 tff(20378,plain,
% 49.54/32.59 (((~![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))),
% 49.54/32.59 inference(transitivity,[status(thm)],[20377, 20375])).
% 49.54/32.59 tff(20379,plain,
% 49.54/32.59 ((~![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))),
% 49.54/32.59 inference(quant_inst,[status(thm)],[])).
% 49.54/32.59 tff(20380,plain,
% 49.54/32.59 ((~![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)),
% 49.54/32.59 inference(modus_ponens,[status(thm)],[20379, 20378])).
% 49.54/32.59 tff(20381,plain,
% 49.54/32.59 ((~v90(constB146, bitIndex0)) | v100(constB147) | v90(constB147, bitIndex0)),
% 49.54/32.59 inference(unit_resolution,[status(thm)],[20380, 1124, 20256])).
% 49.54/32.59 tff(20382,plain,
% 49.54/32.59 ((~v90(constB146, bitIndex0)) | v90(constB147, bitIndex0)),
% 49.54/32.59 inference(unit_resolution,[status(thm)],[20381, 20268])).
% 49.54/32.59 tff(20383,plain,
% 49.54/32.59 (v90(constB147, bitIndex0)),
% 49.54/32.59 inference(unit_resolution,[status(thm)],[20382, 20374])).
% 49.54/32.59 tff(20384,plain,
% 49.54/32.59 (((~![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))),
% 49.54/32.59 inference(rewrite,[status(thm)],[])).
% 49.54/32.59 tff(20385,plain,
% 49.54/32.59 (((~v90(constB147, bitIndex0)) | v120(constB147) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2)) <=> ((~v90(constB147, bitIndex0)) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | v120(constB147))),
% 49.54/32.59 inference(rewrite,[status(thm)],[])).
% 49.54/32.59 tff(20386,plain,
% 49.54/32.59 (((~![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)))),
% 49.54/32.59 inference(monotonicity,[status(thm)],[20385])).
% 49.54/32.59 tff(20387,plain,
% 49.54/32.59 (((~![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))),
% 49.54/32.59 inference(transitivity,[status(thm)],[20386, 20384])).
% 49.54/32.59 tff(20388,plain,
% 49.54/32.59 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB147, bitIndex0)) | v120(constB147) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2))),
% 49.54/32.59 inference(quant_inst,[status(thm)],[])).
% 49.54/32.59 tff(20389,plain,
% 49.54/32.59 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB147, bitIndex0)) | v90(constB147, bitIndex1) | v90(constB147, bitIndex2) | v120(constB147)),
% 49.54/32.59 inference(modus_ponens,[status(thm)],[20388, 20387])).
% 49.54/32.59 tff(20390,plain,
% 49.54/32.59 (v120(constB147)),
% 49.54/32.59 inference(unit_resolution,[status(thm)],[20389, 1285, 20383, 20314, 20277])).
% 49.54/32.59 tff(20391,plain,
% 49.54/32.59 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB147) | (~v120(constB147)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB147) | (~v120(constB147)))),
% 49.54/32.59 inference(rewrite,[status(thm)],[])).
% 49.54/32.59 tff(20392,plain,
% 49.54/32.59 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB147) | (~v120(constB147)))),
% 49.54/32.59 inference(quant_inst,[status(thm)],[])).
% 49.54/32.59 tff(20393,plain,
% 49.54/32.59 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB147) | (~v120(constB147))),
% 49.54/32.59 inference(modus_ponens,[status(thm)],[20392, 20391])).
% 49.54/32.59 tff(20394,plain,
% 49.54/32.59 (v118(constB147)),
% 49.54/32.59 inference(unit_resolution,[status(thm)],[20393, 1302, 20390])).
% 49.54/32.59 tff(20395,plain,
% 49.54/32.59 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB147) | (~v118(constB147)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB147) | (~v118(constB147)))),
% 49.54/32.59 inference(rewrite,[status(thm)],[])).
% 49.54/32.59 tff(20396,plain,
% 49.54/32.59 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB147) | (~v118(constB147)))),
% 49.54/32.59 inference(quant_inst,[status(thm)],[])).
% 49.54/32.59 tff(20397,plain,
% 49.54/32.59 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB147) | (~v118(constB147))),
% 49.54/32.59 inference(modus_ponens,[status(thm)],[20396, 20395])).
% 49.54/32.59 tff(20398,plain,
% 49.54/32.59 (v117(constB147)),
% 49.54/32.59 inference(unit_resolution,[status(thm)],[20397, 166, 20394])).
% 49.54/32.59 tff(20399,plain,
% 49.54/32.59 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB147) | (~v117(constB147)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB147) | (~v117(constB147)))),
% 49.54/32.59 inference(rewrite,[status(thm)],[])).
% 49.54/32.59 tff(20400,plain,
% 49.54/32.59 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB147) | (~v117(constB147)))),
% 49.54/32.59 inference(quant_inst,[status(thm)],[])).
% 49.54/32.59 tff(20401,plain,
% 49.54/32.59 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB147) | (~v117(constB147))),
% 49.54/32.59 inference(modus_ponens,[status(thm)],[20400, 20399])).
% 49.54/32.59 tff(20402,plain,
% 49.54/32.59 (v116(constB147)),
% 49.54/32.59 inference(unit_resolution,[status(thm)],[20401, 177, 20398])).
% 49.54/32.59 tff(20403,plain,
% 49.54/32.59 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB147) | (~v116(constB147)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB147) | (~v116(constB147)))),
% 49.54/32.59 inference(rewrite,[status(thm)],[])).
% 49.54/32.59 tff(20404,plain,
% 49.54/32.59 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB147) | (~v116(constB147)))),
% 49.54/32.59 inference(quant_inst,[status(thm)],[])).
% 49.54/32.59 tff(20405,plain,
% 49.54/32.59 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB147) | (~v116(constB147))),
% 49.54/32.59 inference(modus_ponens,[status(thm)],[20404, 20403])).
% 49.54/32.59 tff(20406,plain,
% 49.54/32.59 (v115(constB147)),
% 49.54/32.59 inference(unit_resolution,[status(thm)],[20405, 188, 20402])).
% 49.54/32.59 tff(20407,plain,
% 49.54/32.59 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB147) | (~v115(constB147)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB147) | (~v115(constB147)))),
% 49.54/32.59 inference(rewrite,[status(thm)],[])).
% 49.54/32.59 tff(20408,plain,
% 49.54/32.59 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB147) | (~v115(constB147)))),
% 49.54/32.59 inference(quant_inst,[status(thm)],[])).
% 49.54/32.59 tff(20409,plain,
% 49.54/32.59 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB147) | (~v115(constB147))),
% 49.54/32.59 inference(modus_ponens,[status(thm)],[20408, 20407])).
% 49.54/32.59 tff(20410,plain,
% 49.54/32.59 (v114(constB147)),
% 49.54/32.59 inference(unit_resolution,[status(thm)],[20409, 199, 20406])).
% 49.54/32.59 tff(20411,plain,
% 49.54/32.59 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB147) | (~v114(constB147)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB147) | (~v114(constB147)))),
% 49.54/32.59 inference(rewrite,[status(thm)],[])).
% 49.54/32.59 tff(20412,plain,
% 49.54/32.59 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB147) | (~v114(constB147)))),
% 49.54/32.59 inference(quant_inst,[status(thm)],[])).
% 49.54/32.59 tff(20413,plain,
% 49.54/32.59 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB147) | (~v114(constB147))),
% 49.54/32.59 inference(modus_ponens,[status(thm)],[20412, 20411])).
% 49.54/32.59 tff(20414,plain,
% 49.54/32.59 (v113(constB147)),
% 49.54/32.59 inference(unit_resolution,[status(thm)],[20413, 210, 20410])).
% 49.54/32.59 tff(20415,assumption,(v26(constB147)), introduced(assumption)).
% 49.54/32.59 tff(20416,plain,
% 49.54/32.59 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB147))),
% 49.54/32.59 inference(quant_inst,[status(thm)],[])).
% 49.54/32.59 tff(20417,plain,
% 49.54/32.59 ($false),
% 49.54/32.59 inference(unit_resolution,[status(thm)],[20416, 16, 20415])).
% 49.54/32.59 tff(20418,plain,(~v26(constB147)), inference(lemma,lemma(discharge,[]))).
% 49.54/32.59 tff(20419,plain,
% 49.54/32.59 (((~![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)))),
% 49.54/32.59 inference(rewrite,[status(thm)],[])).
% 49.54/32.59 tff(20420,plain,
% 49.54/32.59 ((v26(constB147) | (~v113(constB147)) | v112(constB147)) <=> (v26(constB147) | v112(constB147) | (~v113(constB147)))),
% 49.54/32.59 inference(rewrite,[status(thm)],[])).
% 49.54/32.59 tff(20421,plain,
% 49.54/32.59 (((~![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))))),
% 49.54/32.59 inference(monotonicity,[status(thm)],[20420])).
% 49.54/32.59 tff(20422,plain,
% 49.54/32.59 (((~![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)))),
% 49.54/32.59 inference(transitivity,[status(thm)],[20421, 20419])).
% 49.54/32.59 tff(20423,plain,
% 49.54/32.59 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB147) | (~v113(constB147)) | v112(constB147))),
% 49.54/32.59 inference(quant_inst,[status(thm)],[])).
% 49.54/32.59 tff(20424,plain,
% 49.54/32.59 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB147) | v112(constB147) | (~v113(constB147))),
% 49.54/32.59 inference(modus_ponens,[status(thm)],[20423, 20422])).
% 49.54/32.59 tff(20425,plain,
% 49.54/32.59 (v112(constB147) | (~v113(constB147))),
% 49.54/32.59 inference(unit_resolution,[status(thm)],[20424, 224, 20418])).
% 49.54/32.59 tff(20426,plain,
% 49.54/32.59 (v112(constB147)),
% 49.54/32.59 inference(unit_resolution,[status(thm)],[20425, 20414])).
% 49.54/32.59 tff(20427,plain,
% 49.54/32.59 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB147) | (~v112(constB147)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB147) | (~v112(constB147)))),
% 49.54/32.59 inference(rewrite,[status(thm)],[])).
% 49.54/32.59 tff(20428,plain,
% 49.54/32.59 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB147) | (~v112(constB147)))),
% 49.54/32.59 inference(quant_inst,[status(thm)],[])).
% 49.54/32.59 tff(20429,plain,
% 49.54/32.59 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB147) | (~v112(constB147))),
% 49.54/32.59 inference(modus_ponens,[status(thm)],[20428, 20427])).
% 49.54/32.59 tff(20430,plain,
% 49.54/32.59 (v108(constB147)),
% 49.54/32.59 inference(unit_resolution,[status(thm)],[20429, 236, 20426])).
% 49.54/32.59 tff(20431,plain,
% 49.54/32.59 (nextState(constB147, constB148) <=> nextState(constB147, constB148)),
% 49.54/32.59 inference(rewrite,[status(thm)],[])).
% 49.54/32.59 tff(20432,axiom,(nextState(constB147, constB148)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_147_1')).
% 49.54/32.59 tff(20433,plain,
% 49.54/32.59 (nextState(constB147, constB148)),
% 49.54/32.59 inference(modus_ponens,[status(thm)],[20432, 20431])).
% 49.54/32.59 tff(20434,plain,
% 49.54/32.59 (((~![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)))),
% 49.54/32.59 inference(rewrite,[status(thm)],[])).
% 49.54/32.59 tff(20435,plain,
% 49.54/32.59 (((~nextState(constB147, constB148)) | (~v108(constB147)) | v110(constB148)) <=> ((~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147)))),
% 49.54/32.59 inference(rewrite,[status(thm)],[])).
% 49.54/32.59 tff(20436,plain,
% 49.54/32.59 (((~![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))))),
% 49.54/32.59 inference(monotonicity,[status(thm)],[20435])).
% 49.54/32.59 tff(20437,plain,
% 49.54/32.59 (((~![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)))),
% 49.54/32.59 inference(transitivity,[status(thm)],[20436, 20434])).
% 49.54/32.59 tff(20438,plain,
% 49.54/32.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB147, constB148)) | (~v108(constB147)) | v110(constB148))),
% 49.54/32.59 inference(quant_inst,[status(thm)],[])).
% 49.54/32.60 tff(20439,plain,
% 49.54/32.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147))),
% 49.54/32.60 inference(modus_ponens,[status(thm)],[20438, 20437])).
% 49.54/32.60 tff(20440,plain,
% 49.54/32.60 (v110(constB148) | (~v108(constB147))),
% 49.54/32.60 inference(unit_resolution,[status(thm)],[20439, 253, 20433])).
% 49.54/32.60 tff(20441,plain,
% 49.54/32.60 (v110(constB148)),
% 49.54/32.60 inference(unit_resolution,[status(thm)],[20440, 20430])).
% 49.54/32.60 tff(20442,plain,
% 49.54/32.60 (((~![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)))),
% 49.54/32.60 inference(rewrite,[status(thm)],[])).
% 49.54/32.60 tff(20443,plain,
% 49.54/32.60 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB147) | (~nextState(constB147, constB148)) | (~v104(constB148)))),
% 49.54/32.60 inference(quant_inst,[status(thm)],[])).
% 49.54/32.60 tff(20444,plain,
% 49.54/32.60 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB147) | (~nextState(constB147, constB148)) | (~v104(constB148))),
% 49.54/32.60 inference(modus_ponens,[status(thm)],[20443, 20442])).
% 49.54/32.60 tff(20445,plain,
% 49.54/32.60 (~v104(constB148)),
% 49.54/32.60 inference(unit_resolution,[status(thm)],[20444, 271, 20433, 20253])).
% 49.54/32.60 tff(20446,plain,
% 49.54/32.60 (((~![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))),
% 49.54/32.60 inference(rewrite,[status(thm)],[])).
% 49.54/32.60 tff(20447,plain,
% 49.54/32.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB147, constB148)) | v102(constB148) | v104(constB148))),
% 49.54/32.60 inference(quant_inst,[status(thm)],[])).
% 49.54/32.60 tff(20448,plain,
% 49.54/32.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB147, constB148)) | v102(constB148) | v104(constB148)),
% 49.54/32.60 inference(modus_ponens,[status(thm)],[20447, 20446])).
% 49.54/32.60 tff(20449,plain,
% 49.54/32.60 (v102(constB148) | v104(constB148)),
% 49.54/32.60 inference(unit_resolution,[status(thm)],[20448, 285, 20433])).
% 49.54/32.60 tff(20450,plain,
% 49.54/32.60 (v102(constB148)),
% 49.54/32.60 inference(unit_resolution,[status(thm)],[20449, 20445])).
% 49.54/32.60 tff(20451,plain,
% 49.54/32.60 (v1(constB148) <=> v1(constB148)),
% 49.54/32.60 inference(rewrite,[status(thm)],[])).
% 49.54/32.60 tff(20452,axiom,(v1(constB148)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_148_1')).
% 49.54/32.60 tff(20453,plain,
% 49.54/32.60 (v1(constB148)),
% 49.54/32.60 inference(modus_ponens,[status(thm)],[20452, 20451])).
% 49.54/32.60 tff(20454,plain,
% 49.54/32.60 (((~![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)))),
% 49.54/32.60 inference(rewrite,[status(thm)],[])).
% 49.54/32.60 tff(20455,plain,
% 49.54/32.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB147, constB148)) | v101(constB148) | (~v102(constB148)) | (~v1(constB148)))),
% 49.54/32.60 inference(quant_inst,[status(thm)],[])).
% 49.54/32.60 tff(20456,plain,
% 49.54/32.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB147, constB148)) | v101(constB148) | (~v102(constB148)) | (~v1(constB148))),
% 49.54/32.60 inference(modus_ponens,[status(thm)],[20455, 20454])).
% 49.54/32.60 tff(20457,plain,
% 49.54/32.60 (v101(constB148) | (~v102(constB148))),
% 49.54/32.60 inference(unit_resolution,[status(thm)],[20456, 303, 20433, 20453])).
% 49.54/32.60 tff(20458,plain,
% 49.54/32.60 (v101(constB148)),
% 49.54/32.60 inference(unit_resolution,[status(thm)],[20457, 20450])).
% 49.54/32.60 tff(20459,plain,
% 49.54/32.60 (((~![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)))),
% 49.54/32.60 inference(rewrite,[status(thm)],[])).
% 49.54/32.60 tff(20460,plain,
% 49.54/32.60 (((~nextState(constB147, constB148)) | (~v101(constB148)) | (~v110(constB148)) | v100(constB148)) <=> ((~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148)))),
% 49.54/32.60 inference(rewrite,[status(thm)],[])).
% 49.54/32.60 tff(20461,plain,
% 49.54/32.60 (((~![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))))),
% 49.54/32.60 inference(monotonicity,[status(thm)],[20460])).
% 49.54/32.60 tff(20462,plain,
% 49.54/32.60 (((~![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)))),
% 49.54/32.60 inference(transitivity,[status(thm)],[20461, 20459])).
% 49.54/32.60 tff(20463,plain,
% 49.54/32.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB147, constB148)) | (~v101(constB148)) | (~v110(constB148)) | v100(constB148))),
% 49.54/32.60 inference(quant_inst,[status(thm)],[])).
% 49.54/32.60 tff(20464,plain,
% 49.54/32.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148))),
% 49.54/32.60 inference(modus_ponens,[status(thm)],[20463, 20462])).
% 49.54/32.60 tff(20465,plain,
% 49.54/32.60 (v100(constB148) | (~v101(constB148)) | (~v110(constB148))),
% 49.54/32.60 inference(unit_resolution,[status(thm)],[20464, 318, 20433])).
% 49.54/32.60 tff(20466,plain,
% 49.54/32.60 (v100(constB148) | (~v110(constB148))),
% 49.54/32.60 inference(unit_resolution,[status(thm)],[20465, 20458])).
% 49.54/32.60 tff(20467,plain,
% 49.54/32.60 (v100(constB148)),
% 49.54/32.60 inference(unit_resolution,[status(thm)],[20466, 20441])).
% 49.54/32.60 tff(20468,plain,
% 49.54/32.60 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB147)) | (~v130(constB147, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB147)) | (~v130(constB147, bitIndex2)))),
% 49.54/32.60 inference(rewrite,[status(thm)],[])).
% 49.54/32.60 tff(20469,plain,
% 49.54/32.60 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB147)) | (~v130(constB147, bitIndex2)))),
% 49.54/32.60 inference(quant_inst,[status(thm)],[])).
% 49.54/32.60 tff(20470,plain,
% 49.54/32.60 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB147)) | (~v130(constB147, bitIndex2))),
% 49.54/32.60 inference(modus_ponens,[status(thm)],[20469, 20468])).
% 49.54/32.60 tff(20471,plain,
% 49.54/32.60 (~v130(constB147, bitIndex2)),
% 49.54/32.60 inference(unit_resolution,[status(thm)],[20470, 1383, 20390])).
% 49.54/32.60 tff(20472,plain,
% 49.54/32.60 (((~![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))),
% 49.54/32.60 inference(rewrite,[status(thm)],[])).
% 49.54/32.60 tff(20473,plain,
% 49.54/32.60 ((v26(constB147) | v130(constB147, bitIndex2) | (~v127(constB147, bitIndex2))) <=> ((~v127(constB147, bitIndex2)) | v26(constB147) | v130(constB147, bitIndex2))),
% 49.54/32.60 inference(rewrite,[status(thm)],[])).
% 49.54/32.60 tff(20474,plain,
% 49.54/32.60 (((~![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)))),
% 49.54/32.60 inference(monotonicity,[status(thm)],[20473])).
% 49.54/32.60 tff(20475,plain,
% 49.54/32.60 (((~![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))),
% 49.54/32.60 inference(transitivity,[status(thm)],[20474, 20472])).
% 49.54/32.60 tff(20476,plain,
% 49.54/32.60 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB147) | v130(constB147, bitIndex2) | (~v127(constB147, bitIndex2)))),
% 49.54/32.60 inference(quant_inst,[status(thm)],[])).
% 49.54/32.60 tff(20477,plain,
% 49.54/32.60 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB147, bitIndex2)) | v26(constB147) | v130(constB147, bitIndex2)),
% 49.54/32.60 inference(modus_ponens,[status(thm)],[20476, 20475])).
% 49.54/32.60 tff(20478,plain,
% 49.54/32.60 ((~v127(constB147, bitIndex2)) | v130(constB147, bitIndex2)),
% 49.54/32.60 inference(unit_resolution,[status(thm)],[20477, 1210, 20418])).
% 49.54/32.60 tff(20479,plain,
% 49.54/32.60 (~v127(constB147, bitIndex2)),
% 49.54/32.60 inference(unit_resolution,[status(thm)],[20478, 20471])).
% 49.54/32.60 tff(20480,plain,
% 49.54/32.60 (((~![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)))),
% 49.54/32.60 inference(rewrite,[status(thm)],[])).
% 49.54/32.60 tff(20481,plain,
% 49.54/32.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB147, constB148)) | v127(constB147, bitIndex2) | (~v129(constB148, bitIndex2)))),
% 49.54/32.60 inference(quant_inst,[status(thm)],[])).
% 49.54/32.60 tff(20482,plain,
% 49.54/32.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB147, constB148)) | v127(constB147, bitIndex2) | (~v129(constB148, bitIndex2))),
% 49.54/32.60 inference(modus_ponens,[status(thm)],[20481, 20480])).
% 49.54/32.60 tff(20483,plain,
% 49.54/32.60 (v127(constB147, bitIndex2) | (~v129(constB148, bitIndex2))),
% 49.54/32.60 inference(unit_resolution,[status(thm)],[20482, 1243, 20433])).
% 49.54/32.60 tff(20484,plain,
% 49.54/32.60 (~v129(constB148, bitIndex2)),
% 49.54/32.60 inference(unit_resolution,[status(thm)],[20483, 20479])).
% 49.54/32.60 tff(20485,plain,
% 49.54/32.60 (((~![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)))),
% 49.54/32.60 inference(rewrite,[status(thm)],[])).
% 49.54/32.60 tff(20486,plain,
% 49.54/32.60 (((~v90(constB148, bitIndex2)) | (~v100(constB148)) | v129(constB148, bitIndex2)) <=> ((~v90(constB148, bitIndex2)) | v129(constB148, bitIndex2) | (~v100(constB148)))),
% 49.54/32.60 inference(rewrite,[status(thm)],[])).
% 49.54/32.60 tff(20487,plain,
% 49.54/32.60 (((~![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))))),
% 49.54/32.60 inference(monotonicity,[status(thm)],[20486])).
% 49.54/32.60 tff(20488,plain,
% 49.54/32.60 (((~![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)))),
% 49.54/32.60 inference(transitivity,[status(thm)],[20487, 20485])).
% 49.54/32.60 tff(20489,plain,
% 49.54/32.60 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB148, bitIndex2)) | (~v100(constB148)) | v129(constB148, bitIndex2))),
% 49.54/32.60 inference(quant_inst,[status(thm)],[])).
% 49.54/32.60 tff(20490,plain,
% 49.54/32.60 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB148, bitIndex2)) | v129(constB148, bitIndex2) | (~v100(constB148))),
% 49.54/32.60 inference(modus_ponens,[status(thm)],[20489, 20488])).
% 49.54/32.60 tff(20491,plain,
% 49.54/32.60 ((~v90(constB148, bitIndex2)) | (~v100(constB148))),
% 49.54/32.60 inference(unit_resolution,[status(thm)],[20490, 1258, 20484])).
% 49.54/32.60 tff(20492,plain,
% 49.54/32.60 (~v90(constB148, bitIndex2)),
% 49.54/32.60 inference(unit_resolution,[status(thm)],[20491, 20467])).
% 49.54/32.60 tff(20493,plain,
% 49.54/32.60 ((~v1(constB149)) <=> (~v1(constB149))),
% 49.54/32.60 inference(rewrite,[status(thm)],[])).
% 49.54/32.60 tff(20494,axiom,(~v1(constB149)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_149_1_1')).
% 49.54/32.60 tff(20495,plain,
% 49.54/32.60 (~v1(constB149)),
% 49.54/32.60 inference(modus_ponens,[status(thm)],[20494, 20493])).
% 49.54/32.60 tff(20496,plain,
% 49.54/32.60 (nextState(constB148, constB149) <=> nextState(constB148, constB149)),
% 49.54/32.60 inference(rewrite,[status(thm)],[])).
% 49.54/32.60 tff(20497,axiom,(nextState(constB148, constB149)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_148_1')).
% 49.54/32.60 tff(20498,plain,
% 49.54/32.60 (nextState(constB148, constB149)),
% 49.54/32.60 inference(modus_ponens,[status(thm)],[20497, 20496])).
% 49.54/32.60 tff(20499,plain,
% 49.54/32.60 (((~![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)))),
% 49.54/32.60 inference(rewrite,[status(thm)],[])).
% 49.54/32.60 tff(20500,plain,
% 49.54/32.60 (((~nextState(constB148, constB149)) | (~v101(constB149)) | v1(constB149)) <=> (v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149)))),
% 49.54/32.60 inference(rewrite,[status(thm)],[])).
% 49.54/32.60 tff(20501,plain,
% 49.54/32.60 (((~![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))))),
% 49.54/32.60 inference(monotonicity,[status(thm)],[20500])).
% 49.54/32.60 tff(20502,plain,
% 49.54/32.60 (((~![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)))),
% 49.54/32.60 inference(transitivity,[status(thm)],[20501, 20499])).
% 49.54/32.60 tff(20503,plain,
% 49.54/32.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB148, constB149)) | (~v101(constB149)) | v1(constB149))),
% 49.54/32.60 inference(quant_inst,[status(thm)],[])).
% 49.54/32.60 tff(20504,plain,
% 49.54/32.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149))),
% 49.54/32.60 inference(modus_ponens,[status(thm)],[20503, 20502])).
% 49.54/32.60 tff(20505,plain,
% 49.54/32.60 (~v101(constB149)),
% 49.54/32.60 inference(unit_resolution,[status(thm)],[20504, 49, 20498, 20495])).
% 49.54/32.60 tff(20506,plain,
% 49.54/32.60 (((~![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)))),
% 49.54/32.60 inference(rewrite,[status(thm)],[])).
% 49.54/32.60 tff(20507,plain,
% 49.54/32.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB148, constB149)) | v101(constB149) | (~v100(constB149)))),
% 49.54/32.60 inference(quant_inst,[status(thm)],[])).
% 49.54/32.60 tff(20508,plain,
% 49.54/32.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB148, constB149)) | v101(constB149) | (~v100(constB149))),
% 49.54/32.60 inference(modus_ponens,[status(thm)],[20507, 20506])).
% 49.54/32.60 tff(20509,plain,
% 49.54/32.60 (v101(constB149) | (~v100(constB149))),
% 49.54/32.60 inference(unit_resolution,[status(thm)],[20508, 66, 20498])).
% 49.54/32.60 tff(20510,plain,
% 49.54/32.60 (~v100(constB149)),
% 49.54/32.60 inference(unit_resolution,[status(thm)],[20509, 20505])).
% 49.54/32.60 tff(20511,plain,
% 49.54/32.60 (((~![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)))),
% 49.54/32.60 inference(rewrite,[status(thm)],[])).
% 49.54/32.60 tff(20512,plain,
% 49.54/32.60 (((~nextState(constB148, constB149)) | v90(constB148, bitIndex2) | v100(constB149) | (~v90(constB149, bitIndex2))) <=> (v90(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex2)))),
% 49.54/32.60 inference(rewrite,[status(thm)],[])).
% 49.54/32.60 tff(20513,plain,
% 49.54/32.60 (((~![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))))),
% 49.54/32.60 inference(monotonicity,[status(thm)],[20512])).
% 49.54/32.60 tff(20514,plain,
% 49.54/32.60 (((~![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)))),
% 49.54/32.60 inference(transitivity,[status(thm)],[20513, 20511])).
% 49.54/32.60 tff(20515,plain,
% 49.54/32.60 ((~![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)))),
% 49.54/32.60 inference(quant_inst,[status(thm)],[])).
% 49.54/32.60 tff(20516,plain,
% 49.54/32.60 ((~![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))),
% 49.54/32.60 inference(modus_ponens,[status(thm)],[20515, 20514])).
% 49.54/32.60 tff(20517,plain,
% 49.54/32.60 (v90(constB148, bitIndex2) | v100(constB149) | (~v90(constB149, bitIndex2))),
% 49.54/32.60 inference(unit_resolution,[status(thm)],[20516, 81, 20498])).
% 49.54/32.60 tff(20518,plain,
% 49.54/32.60 (v90(constB148, bitIndex2) | (~v90(constB149, bitIndex2))),
% 49.54/32.60 inference(unit_resolution,[status(thm)],[20517, 20510])).
% 49.54/32.60 tff(20519,plain,
% 49.54/32.60 (~v90(constB149, bitIndex2)),
% 49.54/32.60 inference(unit_resolution,[status(thm)],[20518, 20492])).
% 49.54/32.60 tff(20520,plain,
% 49.54/32.60 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB147)) | v130(constB147, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB147)) | v130(constB147, bitIndex1))),
% 49.54/32.60 inference(rewrite,[status(thm)],[])).
% 49.54/32.60 tff(20521,plain,
% 49.54/32.60 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB147)) | v130(constB147, bitIndex1))),
% 49.54/32.60 inference(quant_inst,[status(thm)],[])).
% 49.54/32.60 tff(20522,plain,
% 49.54/32.60 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB147)) | v130(constB147, bitIndex1)),
% 49.54/32.60 inference(modus_ponens,[status(thm)],[20521, 20520])).
% 49.54/32.60 tff(20523,plain,
% 49.54/32.60 (v130(constB147, bitIndex1)),
% 49.54/32.60 inference(unit_resolution,[status(thm)],[20522, 1450, 20390])).
% 49.54/32.60 tff(20524,plain,
% 49.54/32.60 (((~![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))),
% 49.54/32.60 inference(rewrite,[status(thm)],[])).
% 49.54/32.60 tff(20525,plain,
% 49.54/32.60 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB147) | (~v130(constB147, bitIndex1)) | v127(constB147, bitIndex1))),
% 49.54/32.60 inference(quant_inst,[status(thm)],[])).
% 49.54/32.60 tff(20526,plain,
% 49.54/32.60 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB147) | (~v130(constB147, bitIndex1)) | v127(constB147, bitIndex1)),
% 49.54/32.60 inference(modus_ponens,[status(thm)],[20525, 20524])).
% 49.54/32.60 tff(20527,plain,
% 49.54/32.60 ((~v130(constB147, bitIndex1)) | v127(constB147, bitIndex1)),
% 49.54/32.60 inference(unit_resolution,[status(thm)],[20526, 681, 20418])).
% 49.54/32.60 tff(20528,plain,
% 49.54/32.60 (v127(constB147, bitIndex1)),
% 49.54/32.60 inference(unit_resolution,[status(thm)],[20527, 20523])).
% 49.54/32.60 tff(20529,plain,
% 49.54/32.60 (((~![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))),
% 49.54/32.60 inference(rewrite,[status(thm)],[])).
% 49.54/32.60 tff(20530,plain,
% 49.54/32.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB147, constB148)) | (~v127(constB147, bitIndex1)) | v129(constB148, bitIndex1))),
% 49.54/32.60 inference(quant_inst,[status(thm)],[])).
% 49.54/32.60 tff(20531,plain,
% 49.54/32.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB147, constB148)) | (~v127(constB147, bitIndex1)) | v129(constB148, bitIndex1)),
% 49.54/32.60 inference(modus_ponens,[status(thm)],[20530, 20529])).
% 49.54/32.60 tff(20532,plain,
% 49.54/32.60 ((~v127(constB147, bitIndex1)) | v129(constB148, bitIndex1)),
% 49.54/32.60 inference(unit_resolution,[status(thm)],[20531, 696, 20433])).
% 49.54/32.60 tff(20533,plain,
% 49.54/32.60 (v129(constB148, bitIndex1)),
% 49.54/32.60 inference(unit_resolution,[status(thm)],[20532, 20528])).
% 49.54/32.60 tff(20534,plain,
% 49.54/32.60 (((~![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)))),
% 49.54/32.60 inference(rewrite,[status(thm)],[])).
% 49.54/32.60 tff(20535,plain,
% 49.54/32.60 ((v90(constB148, bitIndex1) | (~v100(constB148)) | (~v129(constB148, bitIndex1))) <=> (v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1)) | (~v100(constB148)))),
% 49.54/32.60 inference(rewrite,[status(thm)],[])).
% 49.54/32.60 tff(20536,plain,
% 49.54/32.60 (((~![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))))),
% 49.54/32.60 inference(monotonicity,[status(thm)],[20535])).
% 49.54/32.60 tff(20537,plain,
% 49.54/32.60 (((~![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)))),
% 49.54/32.60 inference(transitivity,[status(thm)],[20536, 20534])).
% 49.54/32.60 tff(20538,plain,
% 49.54/32.60 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB148, bitIndex1) | (~v100(constB148)) | (~v129(constB148, bitIndex1)))),
% 49.54/32.60 inference(quant_inst,[status(thm)],[])).
% 49.54/32.60 tff(20539,plain,
% 49.54/32.60 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB148, bitIndex1) | (~v129(constB148, bitIndex1)) | (~v100(constB148))),
% 49.54/32.60 inference(modus_ponens,[status(thm)],[20538, 20537])).
% 49.54/32.60 tff(20540,plain,
% 49.54/32.60 (v90(constB148, bitIndex1) | (~v100(constB148))),
% 49.54/32.60 inference(unit_resolution,[status(thm)],[20539, 711, 20533])).
% 49.54/32.60 tff(20541,plain,
% 49.54/32.60 (v90(constB148, bitIndex1)),
% 49.54/32.60 inference(unit_resolution,[status(thm)],[20540, 20467])).
% 49.54/32.60 tff(20542,plain,
% 49.54/32.60 (((~![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))),
% 49.54/32.60 inference(rewrite,[status(thm)],[])).
% 49.54/32.60 tff(20543,plain,
% 49.54/32.60 (((~nextState(constB148, constB149)) | (~v90(constB148, bitIndex1)) | v100(constB149) | v90(constB149, bitIndex1)) <=> ((~v90(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, bitIndex1))),
% 49.54/32.60 inference(rewrite,[status(thm)],[])).
% 49.54/32.60 tff(20544,plain,
% 49.54/32.60 (((~![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)))),
% 49.54/32.60 inference(monotonicity,[status(thm)],[20543])).
% 49.54/32.60 tff(20545,plain,
% 49.54/32.60 (((~![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))),
% 49.54/32.60 inference(transitivity,[status(thm)],[20544, 20542])).
% 49.54/32.60 tff(20546,plain,
% 49.54/32.60 ((~![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))),
% 49.54/32.60 inference(quant_inst,[status(thm)],[])).
% 49.54/32.60 tff(20547,plain,
% 49.54/32.60 ((~![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)),
% 49.54/32.60 inference(modus_ponens,[status(thm)],[20546, 20545])).
% 49.54/32.60 tff(20548,plain,
% 49.54/32.60 ((~v90(constB148, bitIndex1)) | v100(constB149) | v90(constB149, bitIndex1)),
% 49.54/32.60 inference(unit_resolution,[status(thm)],[20547, 747, 20498])).
% 49.54/32.60 tff(20549,plain,
% 49.54/32.60 ((~v90(constB148, bitIndex1)) | v90(constB149, bitIndex1)),
% 49.54/32.60 inference(unit_resolution,[status(thm)],[20548, 20510])).
% 49.54/32.60 tff(20550,plain,
% 49.54/32.60 (v90(constB149, bitIndex1)),
% 49.54/32.60 inference(unit_resolution,[status(thm)],[20549, 20541])).
% 49.54/32.60 tff(20551,plain,
% 49.54/32.60 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB147)) | (~v130(constB147, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB147)) | (~v130(constB147, bitIndex0)))),
% 49.54/32.60 inference(rewrite,[status(thm)],[])).
% 49.54/32.60 tff(20552,plain,
% 49.54/32.60 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB147)) | (~v130(constB147, bitIndex0)))),
% 49.54/32.60 inference(quant_inst,[status(thm)],[])).
% 49.54/32.60 tff(20553,plain,
% 49.54/32.60 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB147)) | (~v130(constB147, bitIndex0))),
% 49.54/32.60 inference(modus_ponens,[status(thm)],[20552, 20551])).
% 49.54/32.60 tff(20554,plain,
% 49.54/32.60 (~v130(constB147, bitIndex0)),
% 49.54/32.60 inference(unit_resolution,[status(thm)],[20553, 1492, 20390])).
% 49.54/32.60 tff(20555,assumption,(v127(constB147, bitIndex0)), introduced(assumption)).
% 49.54/32.60 tff(20556,assumption,(~v130(constB147, bitIndex0)), introduced(assumption)).
% 49.54/32.60 tff(20557,plain,
% 49.54/32.60 (((~![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))),
% 49.54/32.60 inference(rewrite,[status(thm)],[])).
% 49.54/32.60 tff(20558,plain,
% 49.54/32.60 ((v26(constB147) | v130(constB147, bitIndex0) | (~v127(constB147, bitIndex0))) <=> ((~v127(constB147, bitIndex0)) | v26(constB147) | v130(constB147, bitIndex0))),
% 49.54/32.60 inference(rewrite,[status(thm)],[])).
% 49.54/32.60 tff(20559,plain,
% 49.54/32.60 (((~![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)))),
% 49.54/32.60 inference(monotonicity,[status(thm)],[20558])).
% 49.54/32.60 tff(20560,plain,
% 49.54/32.60 (((~![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))),
% 49.54/32.60 inference(transitivity,[status(thm)],[20559, 20557])).
% 49.54/32.60 tff(20561,plain,
% 49.54/32.60 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB147) | v130(constB147, bitIndex0) | (~v127(constB147, bitIndex0)))),
% 49.54/32.60 inference(quant_inst,[status(thm)],[])).
% 49.54/32.60 tff(20562,plain,
% 49.54/32.60 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB147, bitIndex0)) | v26(constB147) | v130(constB147, bitIndex0)),
% 49.54/32.60 inference(modus_ponens,[status(thm)],[20561, 20560])).
% 49.54/32.61 tff(20563,plain,
% 49.54/32.61 ((~v127(constB147, bitIndex0)) | v26(constB147)),
% 49.54/32.61 inference(unit_resolution,[status(thm)],[20562, 524, 20556])).
% 49.54/32.61 tff(20564,plain,
% 49.54/32.61 (v26(constB147)),
% 49.54/32.61 inference(unit_resolution,[status(thm)],[20563, 20555])).
% 49.54/32.61 tff(20565,plain,
% 49.54/32.61 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB147)) | (~v127(constB147, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB147)) | (~v127(constB147, bitIndex0)))),
% 49.54/32.61 inference(rewrite,[status(thm)],[])).
% 49.54/32.61 tff(20566,plain,
% 49.54/32.61 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB147)) | (~v127(constB147, bitIndex0)))),
% 49.54/32.61 inference(quant_inst,[status(thm)],[])).
% 49.54/32.61 tff(20567,plain,
% 49.54/32.61 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB147)) | (~v127(constB147, bitIndex0))),
% 49.54/32.61 inference(modus_ponens,[status(thm)],[20566, 20565])).
% 49.54/32.61 tff(20568,plain,
% 49.54/32.61 ($false),
% 49.54/32.61 inference(unit_resolution,[status(thm)],[20567, 1514, 20555, 20564])).
% 49.54/32.61 tff(20569,plain,((~v127(constB147, bitIndex0)) | v130(constB147, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 49.54/32.61 tff(20570,plain,
% 49.54/32.61 (~v127(constB147, bitIndex0)),
% 49.54/32.61 inference(unit_resolution,[status(thm)],[20569, 20554])).
% 49.54/32.61 tff(20571,plain,
% 49.54/32.61 (((~![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)))),
% 49.54/32.61 inference(rewrite,[status(thm)],[])).
% 49.54/32.61 tff(20572,plain,
% 49.54/32.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB147, constB148)) | v127(constB147, bitIndex0) | (~v129(constB148, bitIndex0)))),
% 49.54/32.61 inference(quant_inst,[status(thm)],[])).
% 49.54/32.61 tff(20573,plain,
% 49.54/32.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB147, constB148)) | v127(constB147, bitIndex0) | (~v129(constB148, bitIndex0))),
% 49.54/32.61 inference(modus_ponens,[status(thm)],[20572, 20571])).
% 49.54/32.61 tff(20574,plain,
% 49.54/32.61 (v127(constB147, bitIndex0) | (~v129(constB148, bitIndex0))),
% 49.54/32.61 inference(unit_resolution,[status(thm)],[20573, 542, 20433])).
% 49.54/32.61 tff(20575,plain,
% 49.54/32.61 (~v129(constB148, bitIndex0)),
% 49.54/32.61 inference(unit_resolution,[status(thm)],[20574, 20570])).
% 49.54/32.61 tff(20576,plain,
% 49.54/32.61 (((~![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)))),
% 49.54/32.61 inference(rewrite,[status(thm)],[])).
% 49.54/32.61 tff(20577,plain,
% 49.54/32.61 (((~v90(constB148, bitIndex0)) | (~v100(constB148)) | v129(constB148, bitIndex0)) <=> ((~v90(constB148, bitIndex0)) | v129(constB148, bitIndex0) | (~v100(constB148)))),
% 49.54/32.61 inference(rewrite,[status(thm)],[])).
% 49.54/32.61 tff(20578,plain,
% 49.54/32.61 (((~![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))))),
% 49.54/32.61 inference(monotonicity,[status(thm)],[20577])).
% 49.54/32.61 tff(20579,plain,
% 49.54/32.61 (((~![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)))),
% 49.54/32.61 inference(transitivity,[status(thm)],[20578, 20576])).
% 49.54/32.61 tff(20580,plain,
% 49.54/32.61 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB148, bitIndex0)) | (~v100(constB148)) | v129(constB148, bitIndex0))),
% 49.54/32.61 inference(quant_inst,[status(thm)],[])).
% 49.54/32.61 tff(20581,plain,
% 49.54/32.61 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB148, bitIndex0)) | v129(constB148, bitIndex0) | (~v100(constB148))),
% 49.54/32.61 inference(modus_ponens,[status(thm)],[20580, 20579])).
% 49.54/32.61 tff(20582,plain,
% 49.54/32.61 ((~v90(constB148, bitIndex0)) | (~v100(constB148))),
% 49.54/32.61 inference(unit_resolution,[status(thm)],[20581, 557, 20575])).
% 49.54/32.61 tff(20583,plain,
% 49.54/32.61 (~v90(constB148, bitIndex0)),
% 49.54/32.61 inference(unit_resolution,[status(thm)],[20582, 20467])).
% 49.54/32.61 tff(20584,plain,
% 49.54/32.61 (((~![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)))),
% 49.54/32.61 inference(rewrite,[status(thm)],[])).
% 49.54/32.61 tff(20585,plain,
% 49.54/32.61 (((~nextState(constB148, constB149)) | v90(constB148, bitIndex0) | v100(constB149) | (~v90(constB149, bitIndex0))) <=> (v90(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, bitIndex0)))),
% 49.54/32.61 inference(rewrite,[status(thm)],[])).
% 49.54/32.61 tff(20586,plain,
% 49.54/32.61 (((~![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))))),
% 49.54/32.61 inference(monotonicity,[status(thm)],[20585])).
% 49.54/32.61 tff(20587,plain,
% 49.54/32.61 (((~![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)))),
% 49.54/32.61 inference(transitivity,[status(thm)],[20586, 20584])).
% 49.54/32.61 tff(20588,plain,
% 49.54/32.61 ((~![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)))),
% 49.54/32.61 inference(quant_inst,[status(thm)],[])).
% 49.54/32.61 tff(20589,plain,
% 49.54/32.61 ((~![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))),
% 49.54/32.61 inference(modus_ponens,[status(thm)],[20588, 20587])).
% 49.54/32.61 tff(20590,plain,
% 49.54/32.61 (v90(constB148, bitIndex0) | v100(constB149) | (~v90(constB149, bitIndex0))),
% 49.54/32.61 inference(unit_resolution,[status(thm)],[20589, 123, 20498])).
% 49.54/32.61 tff(20591,plain,
% 49.54/32.61 (v90(constB148, bitIndex0) | (~v90(constB149, bitIndex0))),
% 49.54/32.61 inference(unit_resolution,[status(thm)],[20590, 20510])).
% 49.54/32.61 tff(20592,plain,
% 49.54/32.61 (~v90(constB149, bitIndex0)),
% 49.54/32.61 inference(unit_resolution,[status(thm)],[20591, 20583])).
% 49.54/32.61 tff(20593,plain,
% 49.54/32.61 (((~![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))),
% 49.54/32.61 inference(rewrite,[status(thm)],[])).
% 49.54/32.61 tff(20594,plain,
% 49.54/32.61 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex2) | v121(constB149))),
% 49.54/32.61 inference(quant_inst,[status(thm)],[])).
% 49.54/32.61 tff(20595,plain,
% 49.54/32.61 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB149, bitIndex0) | (~v90(constB149, bitIndex1)) | v90(constB149, bitIndex2) | v121(constB149)),
% 49.54/32.61 inference(modus_ponens,[status(thm)],[20594, 20593])).
% 49.54/32.61 tff(20596,plain,
% 49.54/32.61 (v121(constB149)),
% 49.54/32.61 inference(unit_resolution,[status(thm)],[20595, 1551, 20592, 20550, 20519])).
% 49.54/32.61 tff(20597,plain,
% 49.54/32.61 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB149) | (~v121(constB149)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB149) | (~v121(constB149)))),
% 49.54/32.61 inference(rewrite,[status(thm)],[])).
% 49.54/32.61 tff(20598,plain,
% 49.54/32.61 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB149) | (~v121(constB149)))),
% 49.54/32.61 inference(quant_inst,[status(thm)],[])).
% 49.54/32.61 tff(20599,plain,
% 49.54/32.61 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB149) | (~v121(constB149))),
% 49.54/32.61 inference(modus_ponens,[status(thm)],[20598, 20597])).
% 49.54/32.61 tff(20600,plain,
% 49.54/32.61 (v117(constB149)),
% 49.54/32.61 inference(unit_resolution,[status(thm)],[20599, 1562, 20596])).
% 49.54/32.61 tff(20601,plain,
% 49.54/32.61 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB149) | (~v117(constB149)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB149) | (~v117(constB149)))),
% 49.54/32.61 inference(rewrite,[status(thm)],[])).
% 49.54/32.61 tff(20602,plain,
% 49.54/32.61 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB149) | (~v117(constB149)))),
% 49.54/32.61 inference(quant_inst,[status(thm)],[])).
% 49.54/32.61 tff(20603,plain,
% 49.54/32.61 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB149) | (~v117(constB149))),
% 49.54/32.61 inference(modus_ponens,[status(thm)],[20602, 20601])).
% 49.54/32.61 tff(20604,plain,
% 49.54/32.61 (v116(constB149)),
% 49.54/32.61 inference(unit_resolution,[status(thm)],[20603, 177, 20600])).
% 49.54/32.61 tff(20605,plain,
% 49.54/32.61 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB149) | (~v116(constB149)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB149) | (~v116(constB149)))),
% 49.54/32.61 inference(rewrite,[status(thm)],[])).
% 49.54/32.61 tff(20606,plain,
% 49.54/32.61 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB149) | (~v116(constB149)))),
% 49.54/32.61 inference(quant_inst,[status(thm)],[])).
% 49.54/32.61 tff(20607,plain,
% 49.54/32.61 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB149) | (~v116(constB149))),
% 49.54/32.61 inference(modus_ponens,[status(thm)],[20606, 20605])).
% 49.54/32.61 tff(20608,plain,
% 49.54/32.61 (v115(constB149)),
% 49.54/32.61 inference(unit_resolution,[status(thm)],[20607, 188, 20604])).
% 49.54/32.61 tff(20609,plain,
% 49.54/32.61 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB149) | (~v115(constB149)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB149) | (~v115(constB149)))),
% 49.54/32.61 inference(rewrite,[status(thm)],[])).
% 49.54/32.61 tff(20610,plain,
% 49.54/32.61 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB149) | (~v115(constB149)))),
% 49.54/32.61 inference(quant_inst,[status(thm)],[])).
% 49.54/32.61 tff(20611,plain,
% 49.54/32.61 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB149) | (~v115(constB149))),
% 49.54/32.61 inference(modus_ponens,[status(thm)],[20610, 20609])).
% 49.54/32.61 tff(20612,plain,
% 49.54/32.61 (v114(constB149)),
% 49.54/32.61 inference(unit_resolution,[status(thm)],[20611, 199, 20608])).
% 49.54/32.61 tff(20613,plain,
% 49.54/32.61 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB149) | (~v114(constB149)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB149) | (~v114(constB149)))),
% 49.54/32.61 inference(rewrite,[status(thm)],[])).
% 49.54/32.61 tff(20614,plain,
% 49.54/32.61 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB149) | (~v114(constB149)))),
% 49.54/32.61 inference(quant_inst,[status(thm)],[])).
% 49.54/32.61 tff(20615,plain,
% 49.54/32.61 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB149) | (~v114(constB149))),
% 49.54/32.61 inference(modus_ponens,[status(thm)],[20614, 20613])).
% 49.54/32.61 tff(20616,plain,
% 49.54/32.61 (v113(constB149)),
% 49.54/32.61 inference(unit_resolution,[status(thm)],[20615, 210, 20612])).
% 49.54/32.61 tff(20617,assumption,(v26(constB149)), introduced(assumption)).
% 49.54/32.61 tff(20618,plain,
% 49.54/32.61 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB149))),
% 49.54/32.61 inference(quant_inst,[status(thm)],[])).
% 49.54/32.61 tff(20619,plain,
% 49.54/32.61 ($false),
% 49.54/32.61 inference(unit_resolution,[status(thm)],[20618, 16, 20617])).
% 49.54/32.61 tff(20620,plain,(~v26(constB149)), inference(lemma,lemma(discharge,[]))).
% 49.54/32.61 tff(20621,plain,
% 49.54/32.61 (((~![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)))),
% 49.54/32.61 inference(rewrite,[status(thm)],[])).
% 49.54/32.61 tff(20622,plain,
% 49.54/32.61 ((v26(constB149) | (~v113(constB149)) | v112(constB149)) <=> (v26(constB149) | v112(constB149) | (~v113(constB149)))),
% 49.54/32.61 inference(rewrite,[status(thm)],[])).
% 49.54/32.61 tff(20623,plain,
% 49.54/32.61 (((~![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))))),
% 49.54/32.61 inference(monotonicity,[status(thm)],[20622])).
% 49.54/32.61 tff(20624,plain,
% 49.54/32.61 (((~![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)))),
% 49.54/32.61 inference(transitivity,[status(thm)],[20623, 20621])).
% 49.54/32.61 tff(20625,plain,
% 49.54/32.61 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB149) | (~v113(constB149)) | v112(constB149))),
% 49.54/32.61 inference(quant_inst,[status(thm)],[])).
% 49.54/32.61 tff(20626,plain,
% 49.54/32.61 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB149) | v112(constB149) | (~v113(constB149))),
% 49.54/32.61 inference(modus_ponens,[status(thm)],[20625, 20624])).
% 49.54/32.61 tff(20627,plain,
% 49.54/32.61 (v112(constB149) | (~v113(constB149))),
% 49.54/32.61 inference(unit_resolution,[status(thm)],[20626, 224, 20620])).
% 49.54/32.61 tff(20628,plain,
% 49.54/32.61 (v112(constB149)),
% 49.54/32.61 inference(unit_resolution,[status(thm)],[20627, 20616])).
% 49.54/32.61 tff(20629,plain,
% 49.54/32.61 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB149) | (~v112(constB149)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB149) | (~v112(constB149)))),
% 49.54/32.61 inference(rewrite,[status(thm)],[])).
% 49.54/32.61 tff(20630,plain,
% 49.54/32.61 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB149) | (~v112(constB149)))),
% 49.54/32.61 inference(quant_inst,[status(thm)],[])).
% 49.54/32.61 tff(20631,plain,
% 49.54/32.61 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB149) | (~v112(constB149))),
% 49.54/32.61 inference(modus_ponens,[status(thm)],[20630, 20629])).
% 49.54/32.61 tff(20632,plain,
% 49.54/32.61 (v108(constB149)),
% 49.54/32.61 inference(unit_resolution,[status(thm)],[20631, 236, 20628])).
% 49.54/32.61 tff(20633,plain,
% 49.54/32.61 (nextState(constB149, constB150) <=> nextState(constB149, constB150)),
% 49.54/32.61 inference(rewrite,[status(thm)],[])).
% 49.54/32.61 tff(20634,axiom,(nextState(constB149, constB150)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_149_1')).
% 49.54/32.61 tff(20635,plain,
% 49.54/32.61 (nextState(constB149, constB150)),
% 49.54/32.61 inference(modus_ponens,[status(thm)],[20634, 20633])).
% 49.54/32.61 tff(20636,plain,
% 49.54/32.61 (((~![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)))),
% 49.54/32.61 inference(rewrite,[status(thm)],[])).
% 49.54/32.61 tff(20637,plain,
% 49.54/32.61 (((~nextState(constB149, constB150)) | (~v108(constB149)) | v110(constB150)) <=> ((~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149)))),
% 49.54/32.61 inference(rewrite,[status(thm)],[])).
% 49.54/32.61 tff(20638,plain,
% 49.54/32.61 (((~![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))))),
% 49.54/32.61 inference(monotonicity,[status(thm)],[20637])).
% 49.54/32.61 tff(20639,plain,
% 49.54/32.61 (((~![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)))),
% 49.54/32.61 inference(transitivity,[status(thm)],[20638, 20636])).
% 49.54/32.61 tff(20640,plain,
% 49.54/32.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB149, constB150)) | (~v108(constB149)) | v110(constB150))),
% 49.54/32.61 inference(quant_inst,[status(thm)],[])).
% 49.54/32.61 tff(20641,plain,
% 49.54/32.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149))),
% 49.54/32.61 inference(modus_ponens,[status(thm)],[20640, 20639])).
% 49.54/32.61 tff(20642,plain,
% 49.54/32.61 (v110(constB150) | (~v108(constB149))),
% 49.54/32.61 inference(unit_resolution,[status(thm)],[20641, 253, 20635])).
% 49.54/32.61 tff(20643,plain,
% 49.54/32.61 (v110(constB150)),
% 49.54/32.61 inference(unit_resolution,[status(thm)],[20642, 20632])).
% 49.54/32.61 tff(20644,plain,
% 49.54/32.61 (((~![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)))),
% 49.54/32.61 inference(rewrite,[status(thm)],[])).
% 49.54/32.61 tff(20645,plain,
% 49.54/32.61 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB149) | (~nextState(constB149, constB150)) | (~v104(constB150)))),
% 49.54/32.61 inference(quant_inst,[status(thm)],[])).
% 49.54/32.61 tff(20646,plain,
% 49.54/32.61 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB149) | (~nextState(constB149, constB150)) | (~v104(constB150))),
% 49.54/32.61 inference(modus_ponens,[status(thm)],[20645, 20644])).
% 49.54/32.61 tff(20647,plain,
% 49.54/32.61 (~v104(constB150)),
% 49.54/32.61 inference(unit_resolution,[status(thm)],[20646, 271, 20635, 20495])).
% 49.54/32.61 tff(20648,plain,
% 49.54/32.61 (((~![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))),
% 49.54/32.61 inference(rewrite,[status(thm)],[])).
% 49.54/32.61 tff(20649,plain,
% 49.54/32.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB149, constB150)) | v102(constB150) | v104(constB150))),
% 49.54/32.61 inference(quant_inst,[status(thm)],[])).
% 49.54/32.61 tff(20650,plain,
% 49.54/32.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB149, constB150)) | v102(constB150) | v104(constB150)),
% 49.54/32.61 inference(modus_ponens,[status(thm)],[20649, 20648])).
% 49.54/32.61 tff(20651,plain,
% 49.54/32.61 (v102(constB150) | v104(constB150)),
% 49.54/32.61 inference(unit_resolution,[status(thm)],[20650, 285, 20635])).
% 49.54/32.61 tff(20652,plain,
% 49.54/32.61 (v102(constB150)),
% 49.54/32.61 inference(unit_resolution,[status(thm)],[20651, 20647])).
% 49.54/32.61 tff(20653,plain,
% 49.54/32.61 (v1(constB150) <=> v1(constB150)),
% 49.54/32.61 inference(rewrite,[status(thm)],[])).
% 49.54/32.61 tff(20654,axiom,(v1(constB150)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_150_1')).
% 49.54/32.61 tff(20655,plain,
% 49.54/32.61 (v1(constB150)),
% 49.54/32.61 inference(modus_ponens,[status(thm)],[20654, 20653])).
% 49.54/32.61 tff(20656,plain,
% 49.54/32.61 (((~![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)))),
% 49.54/32.61 inference(rewrite,[status(thm)],[])).
% 49.54/32.61 tff(20657,plain,
% 49.54/32.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB149, constB150)) | v101(constB150) | (~v102(constB150)) | (~v1(constB150)))),
% 49.54/32.61 inference(quant_inst,[status(thm)],[])).
% 49.54/32.61 tff(20658,plain,
% 49.54/32.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB149, constB150)) | v101(constB150) | (~v102(constB150)) | (~v1(constB150))),
% 49.54/32.61 inference(modus_ponens,[status(thm)],[20657, 20656])).
% 49.54/32.61 tff(20659,plain,
% 49.54/32.61 (v101(constB150) | (~v102(constB150))),
% 49.54/32.61 inference(unit_resolution,[status(thm)],[20658, 303, 20635, 20655])).
% 49.54/32.61 tff(20660,plain,
% 49.54/32.61 (v101(constB150)),
% 49.54/32.61 inference(unit_resolution,[status(thm)],[20659, 20652])).
% 49.54/32.61 tff(20661,plain,
% 49.54/32.61 (((~![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)))),
% 49.54/32.61 inference(rewrite,[status(thm)],[])).
% 49.54/32.61 tff(20662,plain,
% 49.54/32.61 (((~nextState(constB149, constB150)) | (~v101(constB150)) | (~v110(constB150)) | v100(constB150)) <=> ((~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150)))),
% 49.54/32.61 inference(rewrite,[status(thm)],[])).
% 49.54/32.61 tff(20663,plain,
% 49.54/32.61 (((~![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))))),
% 49.54/32.61 inference(monotonicity,[status(thm)],[20662])).
% 49.54/32.61 tff(20664,plain,
% 49.54/32.61 (((~![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)))),
% 49.54/32.61 inference(transitivity,[status(thm)],[20663, 20661])).
% 49.54/32.61 tff(20665,plain,
% 49.54/32.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB149, constB150)) | (~v101(constB150)) | (~v110(constB150)) | v100(constB150))),
% 49.54/32.61 inference(quant_inst,[status(thm)],[])).
% 49.54/32.61 tff(20666,plain,
% 49.54/32.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150))),
% 49.54/32.61 inference(modus_ponens,[status(thm)],[20665, 20664])).
% 49.54/32.61 tff(20667,plain,
% 49.54/32.61 (v100(constB150) | (~v101(constB150)) | (~v110(constB150))),
% 49.54/32.61 inference(unit_resolution,[status(thm)],[20666, 318, 20635])).
% 49.54/32.61 tff(20668,plain,
% 49.54/32.61 (v100(constB150) | (~v110(constB150))),
% 49.54/32.61 inference(unit_resolution,[status(thm)],[20667, 20660])).
% 49.54/32.61 tff(20669,plain,
% 49.54/32.61 (v100(constB150)),
% 49.54/32.61 inference(unit_resolution,[status(thm)],[20668, 20643])).
% 49.54/32.61 tff(20670,plain,
% 49.54/32.61 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB149)) | (~v130(constB149, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB149)) | (~v130(constB149, bitIndex2)))),
% 49.54/32.61 inference(rewrite,[status(thm)],[])).
% 49.54/32.61 tff(20671,plain,
% 49.54/32.61 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB149)) | (~v130(constB149, bitIndex2)))),
% 49.54/32.61 inference(quant_inst,[status(thm)],[])).
% 49.54/32.61 tff(20672,plain,
% 49.54/32.61 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB149)) | (~v130(constB149, bitIndex2))),
% 49.54/32.61 inference(modus_ponens,[status(thm)],[20671, 20670])).
% 49.54/32.61 tff(20673,plain,
% 49.54/32.61 (~v130(constB149, bitIndex2)),
% 49.54/32.61 inference(unit_resolution,[status(thm)],[20672, 1645, 20596])).
% 49.54/32.61 tff(20674,assumption,(v127(constB149, bitIndex2)), introduced(assumption)).
% 49.54/32.61 tff(20675,assumption,(~v130(constB149, bitIndex2)), introduced(assumption)).
% 49.54/32.61 tff(20676,plain,
% 49.54/32.61 (((~![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))),
% 49.54/32.61 inference(rewrite,[status(thm)],[])).
% 49.54/32.61 tff(20677,plain,
% 49.54/32.61 ((v26(constB149) | v130(constB149, bitIndex2) | (~v127(constB149, bitIndex2))) <=> ((~v127(constB149, bitIndex2)) | v26(constB149) | v130(constB149, bitIndex2))),
% 49.54/32.61 inference(rewrite,[status(thm)],[])).
% 49.54/32.61 tff(20678,plain,
% 49.54/32.61 (((~![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)))),
% 49.54/32.61 inference(monotonicity,[status(thm)],[20677])).
% 49.54/32.61 tff(20679,plain,
% 49.54/32.61 (((~![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))),
% 49.54/32.61 inference(transitivity,[status(thm)],[20678, 20676])).
% 49.54/32.61 tff(20680,plain,
% 49.54/32.61 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB149) | v130(constB149, bitIndex2) | (~v127(constB149, bitIndex2)))),
% 49.54/32.61 inference(quant_inst,[status(thm)],[])).
% 49.54/32.61 tff(20681,plain,
% 49.54/32.61 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB149, bitIndex2)) | v26(constB149) | v130(constB149, bitIndex2)),
% 49.54/32.61 inference(modus_ponens,[status(thm)],[20680, 20679])).
% 49.54/32.61 tff(20682,plain,
% 49.54/32.61 ((~v127(constB149, bitIndex2)) | v26(constB149)),
% 49.54/32.61 inference(unit_resolution,[status(thm)],[20681, 1210, 20675])).
% 49.54/32.61 tff(20683,plain,
% 49.54/32.61 (v26(constB149)),
% 49.54/32.61 inference(unit_resolution,[status(thm)],[20682, 20674])).
% 49.54/32.61 tff(20684,plain,
% 49.54/32.61 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB149)) | (~v127(constB149, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB149)) | (~v127(constB149, bitIndex2)))),
% 49.54/32.61 inference(rewrite,[status(thm)],[])).
% 49.54/32.61 tff(20685,plain,
% 49.54/32.61 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB149)) | (~v127(constB149, bitIndex2)))),
% 49.54/32.61 inference(quant_inst,[status(thm)],[])).
% 49.54/32.61 tff(20686,plain,
% 49.54/32.61 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB149)) | (~v127(constB149, bitIndex2))),
% 49.54/32.61 inference(modus_ponens,[status(thm)],[20685, 20684])).
% 49.54/32.61 tff(20687,plain,
% 49.54/32.61 ($false),
% 49.54/32.61 inference(unit_resolution,[status(thm)],[20686, 1228, 20674, 20683])).
% 49.54/32.61 tff(20688,plain,((~v127(constB149, bitIndex2)) | v130(constB149, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 49.54/32.61 tff(20689,plain,
% 49.54/32.61 (~v127(constB149, bitIndex2)),
% 49.54/32.61 inference(unit_resolution,[status(thm)],[20688, 20673])).
% 49.54/32.61 tff(20690,plain,
% 49.54/32.61 (((~![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)))),
% 49.54/32.61 inference(rewrite,[status(thm)],[])).
% 49.54/32.61 tff(20691,plain,
% 49.54/32.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB149, constB150)) | v127(constB149, bitIndex2) | (~v129(constB150, bitIndex2)))),
% 49.54/32.61 inference(quant_inst,[status(thm)],[])).
% 49.54/32.61 tff(20692,plain,
% 49.54/32.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB149, constB150)) | v127(constB149, bitIndex2) | (~v129(constB150, bitIndex2))),
% 49.54/32.61 inference(modus_ponens,[status(thm)],[20691, 20690])).
% 49.54/32.61 tff(20693,plain,
% 49.54/32.61 (v127(constB149, bitIndex2) | (~v129(constB150, bitIndex2))),
% 49.54/32.61 inference(unit_resolution,[status(thm)],[20692, 1243, 20635])).
% 49.54/32.61 tff(20694,plain,
% 49.54/32.61 (~v129(constB150, bitIndex2)),
% 49.54/32.61 inference(unit_resolution,[status(thm)],[20693, 20689])).
% 49.54/32.61 tff(20695,plain,
% 49.54/32.61 (((~![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)))),
% 49.54/32.61 inference(rewrite,[status(thm)],[])).
% 49.54/32.61 tff(20696,plain,
% 49.54/32.61 (((~v90(constB150, bitIndex2)) | (~v100(constB150)) | v129(constB150, bitIndex2)) <=> ((~v90(constB150, bitIndex2)) | v129(constB150, bitIndex2) | (~v100(constB150)))),
% 49.54/32.61 inference(rewrite,[status(thm)],[])).
% 49.54/32.61 tff(20697,plain,
% 49.54/32.61 (((~![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))))),
% 49.54/32.61 inference(monotonicity,[status(thm)],[20696])).
% 49.54/32.61 tff(20698,plain,
% 49.54/32.61 (((~![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)))),
% 49.54/32.61 inference(transitivity,[status(thm)],[20697, 20695])).
% 49.54/32.61 tff(20699,plain,
% 49.54/32.61 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB150, bitIndex2)) | (~v100(constB150)) | v129(constB150, bitIndex2))),
% 49.54/32.61 inference(quant_inst,[status(thm)],[])).
% 49.54/32.61 tff(20700,plain,
% 49.54/32.61 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB150, bitIndex2)) | v129(constB150, bitIndex2) | (~v100(constB150))),
% 49.54/32.61 inference(modus_ponens,[status(thm)],[20699, 20698])).
% 49.54/32.61 tff(20701,plain,
% 49.54/32.61 ((~v90(constB150, bitIndex2)) | (~v100(constB150))),
% 49.54/32.61 inference(unit_resolution,[status(thm)],[20700, 1258, 20694])).
% 49.54/32.61 tff(20702,plain,
% 49.54/32.61 (~v90(constB150, bitIndex2)),
% 49.54/32.61 inference(unit_resolution,[status(thm)],[20701, 20669])).
% 49.54/32.61 tff(20703,plain,
% 49.54/32.61 ((~v1(constB151)) <=> (~v1(constB151))),
% 49.54/32.61 inference(rewrite,[status(thm)],[])).
% 49.54/32.61 tff(20704,axiom,(~v1(constB151)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_151_1_1')).
% 49.54/32.61 tff(20705,plain,
% 49.54/32.61 (~v1(constB151)),
% 49.54/32.61 inference(modus_ponens,[status(thm)],[20704, 20703])).
% 49.54/32.61 tff(20706,plain,
% 49.54/32.61 (nextState(constB150, constB151) <=> nextState(constB150, constB151)),
% 49.54/32.61 inference(rewrite,[status(thm)],[])).
% 49.54/32.61 tff(20707,axiom,(nextState(constB150, constB151)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_150_1')).
% 49.54/32.61 tff(20708,plain,
% 49.54/32.61 (nextState(constB150, constB151)),
% 49.54/32.61 inference(modus_ponens,[status(thm)],[20707, 20706])).
% 49.54/32.61 tff(20709,plain,
% 49.54/32.61 (((~![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)))),
% 49.54/32.61 inference(rewrite,[status(thm)],[])).
% 49.54/32.61 tff(20710,plain,
% 49.54/32.61 (((~nextState(constB150, constB151)) | (~v101(constB151)) | v1(constB151)) <=> (v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151)))),
% 49.54/32.61 inference(rewrite,[status(thm)],[])).
% 49.54/32.61 tff(20711,plain,
% 49.54/32.61 (((~![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))))),
% 49.54/32.61 inference(monotonicity,[status(thm)],[20710])).
% 49.54/32.61 tff(20712,plain,
% 49.54/32.61 (((~![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)))),
% 49.54/32.61 inference(transitivity,[status(thm)],[20711, 20709])).
% 49.54/32.61 tff(20713,plain,
% 49.54/32.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB150, constB151)) | (~v101(constB151)) | v1(constB151))),
% 49.54/32.61 inference(quant_inst,[status(thm)],[])).
% 49.54/32.61 tff(20714,plain,
% 49.54/32.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151))),
% 49.54/32.61 inference(modus_ponens,[status(thm)],[20713, 20712])).
% 49.54/32.61 tff(20715,plain,
% 49.54/32.61 (~v101(constB151)),
% 49.54/32.61 inference(unit_resolution,[status(thm)],[20714, 49, 20708, 20705])).
% 49.54/32.61 tff(20716,plain,
% 49.54/32.61 (((~![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)))),
% 49.54/32.61 inference(rewrite,[status(thm)],[])).
% 49.54/32.61 tff(20717,plain,
% 49.54/32.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB150, constB151)) | v101(constB151) | (~v100(constB151)))),
% 49.54/32.61 inference(quant_inst,[status(thm)],[])).
% 49.54/32.61 tff(20718,plain,
% 49.54/32.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB150, constB151)) | v101(constB151) | (~v100(constB151))),
% 49.54/32.61 inference(modus_ponens,[status(thm)],[20717, 20716])).
% 49.54/32.61 tff(20719,plain,
% 49.54/32.61 (v101(constB151) | (~v100(constB151))),
% 49.54/32.62 inference(unit_resolution,[status(thm)],[20718, 66, 20708])).
% 49.54/32.62 tff(20720,plain,
% 49.54/32.62 (~v100(constB151)),
% 49.54/32.62 inference(unit_resolution,[status(thm)],[20719, 20715])).
% 49.54/32.62 tff(20721,plain,
% 49.54/32.62 (((~![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)))),
% 49.54/32.62 inference(rewrite,[status(thm)],[])).
% 49.54/32.62 tff(20722,plain,
% 49.54/32.62 (((~nextState(constB150, constB151)) | v90(constB150, bitIndex2) | v100(constB151) | (~v90(constB151, bitIndex2))) <=> (v90(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, bitIndex2)))),
% 49.54/32.62 inference(rewrite,[status(thm)],[])).
% 49.54/32.62 tff(20723,plain,
% 49.54/32.62 (((~![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))))),
% 49.54/32.62 inference(monotonicity,[status(thm)],[20722])).
% 49.54/32.62 tff(20724,plain,
% 49.54/32.62 (((~![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)))),
% 49.54/32.62 inference(transitivity,[status(thm)],[20723, 20721])).
% 49.54/32.62 tff(20725,plain,
% 49.54/32.62 ((~![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)))),
% 49.54/32.62 inference(quant_inst,[status(thm)],[])).
% 49.54/32.62 tff(20726,plain,
% 49.54/32.62 ((~![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))),
% 49.54/32.62 inference(modus_ponens,[status(thm)],[20725, 20724])).
% 49.54/32.62 tff(20727,plain,
% 49.54/32.62 (v90(constB150, bitIndex2) | v100(constB151) | (~v90(constB151, bitIndex2))),
% 49.54/32.62 inference(unit_resolution,[status(thm)],[20726, 81, 20708])).
% 49.54/32.62 tff(20728,plain,
% 49.54/32.62 (v90(constB150, bitIndex2) | (~v90(constB151, bitIndex2))),
% 49.54/32.62 inference(unit_resolution,[status(thm)],[20727, 20720])).
% 49.54/32.62 tff(20729,plain,
% 49.54/32.62 (~v90(constB151, bitIndex2)),
% 49.54/32.62 inference(unit_resolution,[status(thm)],[20728, 20702])).
% 49.54/32.62 tff(20730,plain,
% 49.54/32.62 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB149)) | v130(constB149, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB149)) | v130(constB149, bitIndex1))),
% 49.54/32.62 inference(rewrite,[status(thm)],[])).
% 49.54/32.62 tff(20731,plain,
% 49.54/32.62 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB149)) | v130(constB149, bitIndex1))),
% 49.54/32.62 inference(quant_inst,[status(thm)],[])).
% 49.54/32.62 tff(20732,plain,
% 49.54/32.62 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB149)) | v130(constB149, bitIndex1)),
% 49.54/32.62 inference(modus_ponens,[status(thm)],[20731, 20730])).
% 49.54/32.62 tff(20733,plain,
% 49.54/32.62 (v130(constB149, bitIndex1)),
% 49.54/32.62 inference(unit_resolution,[status(thm)],[20732, 1707, 20596])).
% 49.54/32.62 tff(20734,plain,
% 49.54/32.62 (((~![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))),
% 49.54/32.62 inference(rewrite,[status(thm)],[])).
% 49.54/32.62 tff(20735,plain,
% 49.54/32.62 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB149) | (~v130(constB149, bitIndex1)) | v127(constB149, bitIndex1))),
% 49.54/32.62 inference(quant_inst,[status(thm)],[])).
% 49.54/32.62 tff(20736,plain,
% 49.54/32.62 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB149) | (~v130(constB149, bitIndex1)) | v127(constB149, bitIndex1)),
% 49.54/32.62 inference(modus_ponens,[status(thm)],[20735, 20734])).
% 49.54/32.62 tff(20737,plain,
% 49.54/32.62 ((~v130(constB149, bitIndex1)) | v127(constB149, bitIndex1)),
% 49.54/32.62 inference(unit_resolution,[status(thm)],[20736, 681, 20620])).
% 49.54/32.62 tff(20738,plain,
% 49.54/32.62 (v127(constB149, bitIndex1)),
% 49.54/32.62 inference(unit_resolution,[status(thm)],[20737, 20733])).
% 49.54/32.62 tff(20739,plain,
% 49.54/32.62 (((~![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))),
% 49.54/32.62 inference(rewrite,[status(thm)],[])).
% 49.54/32.62 tff(20740,plain,
% 49.54/32.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB149, constB150)) | (~v127(constB149, bitIndex1)) | v129(constB150, bitIndex1))),
% 49.54/32.62 inference(quant_inst,[status(thm)],[])).
% 49.54/32.62 tff(20741,plain,
% 49.54/32.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB149, constB150)) | (~v127(constB149, bitIndex1)) | v129(constB150, bitIndex1)),
% 49.54/32.62 inference(modus_ponens,[status(thm)],[20740, 20739])).
% 49.54/32.62 tff(20742,plain,
% 49.54/32.62 ((~v127(constB149, bitIndex1)) | v129(constB150, bitIndex1)),
% 49.54/32.62 inference(unit_resolution,[status(thm)],[20741, 696, 20635])).
% 49.54/32.62 tff(20743,plain,
% 49.54/32.62 (v129(constB150, bitIndex1)),
% 49.54/32.62 inference(unit_resolution,[status(thm)],[20742, 20738])).
% 49.54/32.62 tff(20744,plain,
% 49.54/32.62 (((~![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)))),
% 49.54/32.62 inference(rewrite,[status(thm)],[])).
% 49.54/32.62 tff(20745,plain,
% 49.54/32.62 ((v90(constB150, bitIndex1) | (~v100(constB150)) | (~v129(constB150, bitIndex1))) <=> (v90(constB150, bitIndex1) | (~v129(constB150, bitIndex1)) | (~v100(constB150)))),
% 49.54/32.62 inference(rewrite,[status(thm)],[])).
% 49.54/32.62 tff(20746,plain,
% 49.54/32.62 (((~![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))))),
% 49.54/32.62 inference(monotonicity,[status(thm)],[20745])).
% 49.54/32.62 tff(20747,plain,
% 49.54/32.62 (((~![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)))),
% 49.54/32.62 inference(transitivity,[status(thm)],[20746, 20744])).
% 49.54/32.62 tff(20748,plain,
% 49.54/32.62 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB150, bitIndex1) | (~v100(constB150)) | (~v129(constB150, bitIndex1)))),
% 49.54/32.62 inference(quant_inst,[status(thm)],[])).
% 49.54/32.62 tff(20749,plain,
% 49.54/32.62 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB150, bitIndex1) | (~v129(constB150, bitIndex1)) | (~v100(constB150))),
% 49.54/32.62 inference(modus_ponens,[status(thm)],[20748, 20747])).
% 49.54/32.62 tff(20750,plain,
% 49.54/32.62 (v90(constB150, bitIndex1) | (~v100(constB150))),
% 49.54/32.62 inference(unit_resolution,[status(thm)],[20749, 711, 20743])).
% 49.54/32.62 tff(20751,plain,
% 49.54/32.62 (v90(constB150, bitIndex1)),
% 49.54/32.62 inference(unit_resolution,[status(thm)],[20750, 20669])).
% 49.54/32.62 tff(20752,plain,
% 49.54/32.62 (((~![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))),
% 49.54/32.62 inference(rewrite,[status(thm)],[])).
% 49.54/32.62 tff(20753,plain,
% 49.54/32.62 (((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex1)) | v100(constB151) | v90(constB151, bitIndex1)) <=> ((~v90(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex1))),
% 49.54/32.62 inference(rewrite,[status(thm)],[])).
% 49.54/32.62 tff(20754,plain,
% 49.54/32.62 (((~![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)))),
% 49.54/32.62 inference(monotonicity,[status(thm)],[20753])).
% 49.54/32.62 tff(20755,plain,
% 49.54/32.62 (((~![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))),
% 49.54/32.62 inference(transitivity,[status(thm)],[20754, 20752])).
% 49.54/32.62 tff(20756,plain,
% 49.54/32.62 ((~![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))),
% 49.54/32.62 inference(quant_inst,[status(thm)],[])).
% 49.54/32.62 tff(20757,plain,
% 49.54/32.62 ((~![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)),
% 49.54/32.62 inference(modus_ponens,[status(thm)],[20756, 20755])).
% 49.54/32.62 tff(20758,plain,
% 49.54/32.62 ((~v90(constB150, bitIndex1)) | v100(constB151) | v90(constB151, bitIndex1)),
% 49.54/32.62 inference(unit_resolution,[status(thm)],[20757, 747, 20708])).
% 49.54/32.62 tff(20759,plain,
% 49.54/32.62 ((~v90(constB150, bitIndex1)) | v90(constB151, bitIndex1)),
% 49.54/32.62 inference(unit_resolution,[status(thm)],[20758, 20720])).
% 49.54/32.62 tff(20760,plain,
% 49.54/32.62 (v90(constB151, bitIndex1)),
% 49.54/32.62 inference(unit_resolution,[status(thm)],[20759, 20751])).
% 49.54/32.62 tff(20761,plain,
% 49.54/32.62 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB149)) | v130(constB149, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB149)) | v130(constB149, bitIndex0))),
% 49.54/32.62 inference(rewrite,[status(thm)],[])).
% 49.54/32.62 tff(20762,plain,
% 49.54/32.62 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB149)) | v130(constB149, bitIndex0))),
% 49.54/32.62 inference(quant_inst,[status(thm)],[])).
% 49.54/32.62 tff(20763,plain,
% 49.54/32.62 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB149)) | v130(constB149, bitIndex0)),
% 49.54/32.62 inference(modus_ponens,[status(thm)],[20762, 20761])).
% 49.54/32.62 tff(20764,plain,
% 49.54/32.62 (v130(constB149, bitIndex0)),
% 49.54/32.62 inference(unit_resolution,[status(thm)],[20763, 1748, 20596])).
% 49.54/32.62 tff(20765,plain,
% 49.54/32.62 (((~![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))),
% 49.54/32.62 inference(rewrite,[status(thm)],[])).
% 49.54/32.62 tff(20766,plain,
% 49.54/32.62 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB149) | (~v130(constB149, bitIndex0)) | v127(constB149, bitIndex0))),
% 49.54/32.62 inference(quant_inst,[status(thm)],[])).
% 49.54/32.62 tff(20767,plain,
% 49.54/32.62 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB149) | (~v130(constB149, bitIndex0)) | v127(constB149, bitIndex0)),
% 49.54/32.62 inference(modus_ponens,[status(thm)],[20766, 20765])).
% 49.54/32.62 tff(20768,plain,
% 49.54/32.62 ((~v130(constB149, bitIndex0)) | v127(constB149, bitIndex0)),
% 49.54/32.62 inference(unit_resolution,[status(thm)],[20767, 926, 20620])).
% 49.54/32.62 tff(20769,plain,
% 49.54/32.62 (v127(constB149, bitIndex0)),
% 49.54/32.62 inference(unit_resolution,[status(thm)],[20768, 20764])).
% 49.54/32.62 tff(20770,plain,
% 49.54/32.62 (((~![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))),
% 49.54/32.62 inference(rewrite,[status(thm)],[])).
% 49.54/32.62 tff(20771,plain,
% 49.54/32.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB149, constB150)) | (~v127(constB149, bitIndex0)) | v129(constB150, bitIndex0))),
% 49.54/32.62 inference(quant_inst,[status(thm)],[])).
% 49.54/32.62 tff(20772,plain,
% 49.54/32.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB149, constB150)) | (~v127(constB149, bitIndex0)) | v129(constB150, bitIndex0)),
% 49.54/32.62 inference(modus_ponens,[status(thm)],[20771, 20770])).
% 49.54/32.62 tff(20773,plain,
% 49.54/32.62 ((~v127(constB149, bitIndex0)) | v129(constB150, bitIndex0)),
% 49.54/32.62 inference(unit_resolution,[status(thm)],[20772, 944, 20635])).
% 49.54/32.62 tff(20774,plain,
% 49.54/32.62 (v129(constB150, bitIndex0)),
% 49.54/32.62 inference(unit_resolution,[status(thm)],[20773, 20769])).
% 49.54/32.62 tff(20775,plain,
% 49.54/32.62 (((~![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)))),
% 49.54/32.62 inference(rewrite,[status(thm)],[])).
% 49.54/32.62 tff(20776,plain,
% 49.54/32.62 ((v90(constB150, bitIndex0) | (~v100(constB150)) | (~v129(constB150, bitIndex0))) <=> (v90(constB150, bitIndex0) | (~v129(constB150, bitIndex0)) | (~v100(constB150)))),
% 49.54/32.62 inference(rewrite,[status(thm)],[])).
% 49.54/32.62 tff(20777,plain,
% 49.54/32.62 (((~![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))))),
% 49.54/32.62 inference(monotonicity,[status(thm)],[20776])).
% 49.54/32.62 tff(20778,plain,
% 49.54/32.62 (((~![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)))),
% 49.54/32.62 inference(transitivity,[status(thm)],[20777, 20775])).
% 49.54/32.62 tff(20779,plain,
% 49.54/32.62 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB150, bitIndex0) | (~v100(constB150)) | (~v129(constB150, bitIndex0)))),
% 49.54/32.62 inference(quant_inst,[status(thm)],[])).
% 49.54/32.62 tff(20780,plain,
% 49.54/32.62 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB150, bitIndex0) | (~v129(constB150, bitIndex0)) | (~v100(constB150))),
% 49.54/32.62 inference(modus_ponens,[status(thm)],[20779, 20778])).
% 49.54/32.62 tff(20781,plain,
% 49.54/32.62 (v90(constB150, bitIndex0) | (~v100(constB150))),
% 49.54/32.62 inference(unit_resolution,[status(thm)],[20780, 1088, 20774])).
% 49.54/32.62 tff(20782,plain,
% 49.54/32.62 (v90(constB150, bitIndex0)),
% 49.54/32.62 inference(unit_resolution,[status(thm)],[20781, 20669])).
% 49.54/32.62 tff(20783,plain,
% 49.54/32.62 (((~![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))),
% 49.54/32.62 inference(rewrite,[status(thm)],[])).
% 49.54/32.62 tff(20784,plain,
% 49.54/32.62 (((~nextState(constB150, constB151)) | (~v90(constB150, bitIndex0)) | v100(constB151) | v90(constB151, bitIndex0)) <=> ((~v90(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, bitIndex0))),
% 49.54/32.62 inference(rewrite,[status(thm)],[])).
% 49.54/32.62 tff(20785,plain,
% 49.54/32.62 (((~![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)))),
% 49.54/32.62 inference(monotonicity,[status(thm)],[20784])).
% 49.54/32.62 tff(20786,plain,
% 49.54/32.62 (((~![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))),
% 49.54/32.62 inference(transitivity,[status(thm)],[20785, 20783])).
% 49.54/32.62 tff(20787,plain,
% 49.54/32.62 ((~![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))),
% 49.54/32.62 inference(quant_inst,[status(thm)],[])).
% 49.54/32.62 tff(20788,plain,
% 49.54/32.62 ((~![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)),
% 49.54/32.62 inference(modus_ponens,[status(thm)],[20787, 20786])).
% 49.54/32.62 tff(20789,plain,
% 49.54/32.62 ((~v90(constB150, bitIndex0)) | v100(constB151) | v90(constB151, bitIndex0)),
% 49.54/32.62 inference(unit_resolution,[status(thm)],[20788, 1124, 20708])).
% 49.54/32.62 tff(20790,plain,
% 49.54/32.62 ((~v90(constB150, bitIndex0)) | v90(constB151, bitIndex0)),
% 49.54/32.62 inference(unit_resolution,[status(thm)],[20789, 20720])).
% 49.54/32.62 tff(20791,plain,
% 49.54/32.62 (v90(constB151, bitIndex0)),
% 49.54/32.62 inference(unit_resolution,[status(thm)],[20790, 20782])).
% 49.54/32.62 tff(20792,plain,
% 49.54/32.62 (((~![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))),
% 49.54/32.62 inference(rewrite,[status(thm)],[])).
% 49.54/32.62 tff(20793,plain,
% 49.54/32.62 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB151, bitIndex0)) | (~v90(constB151, bitIndex1)) | v90(constB151, bitIndex2) | v122(constB151))),
% 49.54/32.62 inference(quant_inst,[status(thm)],[])).
% 49.54/32.62 tff(20794,plain,
% 49.54/32.62 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB151, bitIndex0)) | (~v90(constB151, bitIndex1)) | v90(constB151, bitIndex2) | v122(constB151)),
% 49.54/32.62 inference(modus_ponens,[status(thm)],[20793, 20792])).
% 49.54/32.62 tff(20795,plain,
% 49.54/32.62 (v122(constB151)),
% 49.54/32.62 inference(unit_resolution,[status(thm)],[20794, 1789, 20791, 20760, 20729])).
% 49.54/32.62 tff(20796,plain,
% 49.54/32.62 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB151) | (~v122(constB151)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB151) | (~v122(constB151)))),
% 49.54/32.62 inference(rewrite,[status(thm)],[])).
% 49.54/32.62 tff(20797,plain,
% 49.54/32.62 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB151) | (~v122(constB151)))),
% 49.54/32.62 inference(quant_inst,[status(thm)],[])).
% 49.54/32.62 tff(20798,plain,
% 49.54/32.62 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB151) | (~v122(constB151))),
% 49.54/32.62 inference(modus_ponens,[status(thm)],[20797, 20796])).
% 49.54/32.62 tff(20799,plain,
% 49.54/32.62 (v116(constB151)),
% 49.54/32.62 inference(unit_resolution,[status(thm)],[20798, 1800, 20795])).
% 49.54/32.62 tff(20800,plain,
% 49.54/32.62 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB151) | (~v116(constB151)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB151) | (~v116(constB151)))),
% 49.54/32.62 inference(rewrite,[status(thm)],[])).
% 49.54/32.62 tff(20801,plain,
% 49.54/32.62 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB151) | (~v116(constB151)))),
% 49.54/32.62 inference(quant_inst,[status(thm)],[])).
% 49.54/32.62 tff(20802,plain,
% 49.54/32.62 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB151) | (~v116(constB151))),
% 49.54/32.62 inference(modus_ponens,[status(thm)],[20801, 20800])).
% 49.54/32.62 tff(20803,plain,
% 49.54/32.62 (v115(constB151)),
% 49.54/32.62 inference(unit_resolution,[status(thm)],[20802, 188, 20799])).
% 49.54/32.62 tff(20804,plain,
% 49.54/32.62 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB151) | (~v115(constB151)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB151) | (~v115(constB151)))),
% 49.54/32.62 inference(rewrite,[status(thm)],[])).
% 49.54/32.62 tff(20805,plain,
% 49.54/32.62 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB151) | (~v115(constB151)))),
% 49.54/32.62 inference(quant_inst,[status(thm)],[])).
% 49.54/32.62 tff(20806,plain,
% 49.54/32.62 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB151) | (~v115(constB151))),
% 49.54/32.62 inference(modus_ponens,[status(thm)],[20805, 20804])).
% 49.54/32.62 tff(20807,plain,
% 49.54/32.62 (v114(constB151)),
% 49.54/32.62 inference(unit_resolution,[status(thm)],[20806, 199, 20803])).
% 49.54/32.62 tff(20808,plain,
% 49.54/32.62 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB151) | (~v114(constB151)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB151) | (~v114(constB151)))),
% 49.54/32.62 inference(rewrite,[status(thm)],[])).
% 49.54/32.62 tff(20809,plain,
% 49.54/32.62 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB151) | (~v114(constB151)))),
% 49.54/32.62 inference(quant_inst,[status(thm)],[])).
% 49.54/32.62 tff(20810,plain,
% 49.54/32.62 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB151) | (~v114(constB151))),
% 49.54/32.62 inference(modus_ponens,[status(thm)],[20809, 20808])).
% 49.54/32.62 tff(20811,plain,
% 49.54/32.62 (v113(constB151)),
% 49.54/32.62 inference(unit_resolution,[status(thm)],[20810, 210, 20807])).
% 49.54/32.62 tff(20812,assumption,(~v108(constB151)), introduced(assumption)).
% 49.54/32.62 tff(20813,plain,
% 49.54/32.62 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB151) | (~v112(constB151)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB151) | (~v112(constB151)))),
% 49.54/32.62 inference(rewrite,[status(thm)],[])).
% 49.54/32.62 tff(20814,plain,
% 49.54/32.62 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB151) | (~v112(constB151)))),
% 49.54/32.62 inference(quant_inst,[status(thm)],[])).
% 49.54/32.62 tff(20815,plain,
% 49.54/32.62 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB151) | (~v112(constB151))),
% 49.54/32.62 inference(modus_ponens,[status(thm)],[20814, 20813])).
% 49.54/32.62 tff(20816,plain,
% 49.54/32.62 (~v112(constB151)),
% 49.54/32.62 inference(unit_resolution,[status(thm)],[20815, 236, 20812])).
% 49.54/32.62 tff(20817,plain,
% 49.54/32.62 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB151) | (~v26(constB151)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB151) | (~v26(constB151)))),
% 49.54/32.62 inference(rewrite,[status(thm)],[])).
% 49.54/32.62 tff(20818,plain,
% 49.54/32.62 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB151) | (~v26(constB151)))),
% 49.54/32.62 inference(quant_inst,[status(thm)],[])).
% 49.54/32.62 tff(20819,plain,
% 49.54/32.62 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB151) | (~v26(constB151))),
% 49.54/32.62 inference(modus_ponens,[status(thm)],[20818, 20817])).
% 49.54/32.62 tff(20820,plain,
% 49.54/32.62 (~v26(constB151)),
% 49.54/32.62 inference(unit_resolution,[status(thm)],[20819, 961, 20812])).
% 49.54/32.62 tff(20821,assumption,(v113(constB151)), introduced(assumption)).
% 49.54/32.62 tff(20822,plain,
% 49.54/32.62 (((~![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)))),
% 49.54/32.62 inference(rewrite,[status(thm)],[])).
% 49.54/32.62 tff(20823,plain,
% 49.54/32.62 ((v26(constB151) | (~v113(constB151)) | v112(constB151)) <=> (v26(constB151) | v112(constB151) | (~v113(constB151)))),
% 49.54/32.62 inference(rewrite,[status(thm)],[])).
% 49.54/32.62 tff(20824,plain,
% 49.54/32.62 (((~![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))))),
% 49.54/32.62 inference(monotonicity,[status(thm)],[20823])).
% 49.54/32.62 tff(20825,plain,
% 49.54/32.62 (((~![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)))),
% 49.54/32.62 inference(transitivity,[status(thm)],[20824, 20822])).
% 49.54/32.62 tff(20826,plain,
% 49.54/32.62 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB151) | (~v113(constB151)) | v112(constB151))),
% 49.54/32.62 inference(quant_inst,[status(thm)],[])).
% 49.54/32.62 tff(20827,plain,
% 49.54/32.62 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB151) | v112(constB151) | (~v113(constB151))),
% 49.54/32.62 inference(modus_ponens,[status(thm)],[20826, 20825])).
% 49.54/32.62 tff(20828,plain,
% 49.54/32.62 (v26(constB151) | v112(constB151)),
% 49.54/32.62 inference(unit_resolution,[status(thm)],[20827, 224, 20821])).
% 49.54/32.62 tff(20829,plain,
% 49.54/32.62 ($false),
% 49.54/32.62 inference(unit_resolution,[status(thm)],[20828, 20820, 20816])).
% 49.54/32.62 tff(20830,plain,(v108(constB151) | (~v113(constB151))), inference(lemma,lemma(discharge,[]))).
% 49.54/32.62 tff(20831,plain,
% 49.54/32.62 (v108(constB151)),
% 49.54/32.62 inference(unit_resolution,[status(thm)],[20830, 20811])).
% 49.54/32.62 tff(20832,plain,
% 49.54/32.62 (nextState(constB151, constB152) <=> nextState(constB151, constB152)),
% 49.54/32.62 inference(rewrite,[status(thm)],[])).
% 49.54/32.62 tff(20833,axiom,(nextState(constB151, constB152)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_151_1')).
% 49.54/32.62 tff(20834,plain,
% 49.54/32.62 (nextState(constB151, constB152)),
% 49.54/32.62 inference(modus_ponens,[status(thm)],[20833, 20832])).
% 49.54/32.62 tff(20835,plain,
% 49.54/32.62 (((~![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)))),
% 49.54/32.62 inference(rewrite,[status(thm)],[])).
% 49.54/32.62 tff(20836,plain,
% 49.54/32.62 (((~nextState(constB151, constB152)) | (~v108(constB151)) | v110(constB152)) <=> ((~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151)))),
% 49.54/32.62 inference(rewrite,[status(thm)],[])).
% 49.54/32.62 tff(20837,plain,
% 49.54/32.62 (((~![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))))),
% 49.54/32.62 inference(monotonicity,[status(thm)],[20836])).
% 49.54/32.62 tff(20838,plain,
% 49.54/32.62 (((~![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)))),
% 49.54/32.62 inference(transitivity,[status(thm)],[20837, 20835])).
% 49.54/32.62 tff(20839,plain,
% 49.54/32.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB151, constB152)) | (~v108(constB151)) | v110(constB152))),
% 49.54/32.62 inference(quant_inst,[status(thm)],[])).
% 49.54/32.62 tff(20840,plain,
% 49.54/32.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151))),
% 49.54/32.62 inference(modus_ponens,[status(thm)],[20839, 20838])).
% 49.54/32.62 tff(20841,plain,
% 49.54/32.62 (v110(constB152) | (~v108(constB151))),
% 49.54/32.62 inference(unit_resolution,[status(thm)],[20840, 253, 20834])).
% 49.54/32.62 tff(20842,plain,
% 49.54/32.62 (v110(constB152)),
% 49.54/32.62 inference(unit_resolution,[status(thm)],[20841, 20831])).
% 49.54/32.62 tff(20843,plain,
% 49.54/32.62 (((~![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)))),
% 49.54/32.62 inference(rewrite,[status(thm)],[])).
% 49.54/32.62 tff(20844,plain,
% 49.54/32.62 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB151) | (~nextState(constB151, constB152)) | (~v104(constB152)))),
% 49.54/32.63 inference(quant_inst,[status(thm)],[])).
% 49.54/32.63 tff(20845,plain,
% 49.54/32.63 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB151) | (~nextState(constB151, constB152)) | (~v104(constB152))),
% 49.54/32.63 inference(modus_ponens,[status(thm)],[20844, 20843])).
% 49.54/32.63 tff(20846,plain,
% 49.54/32.63 (~v104(constB152)),
% 49.54/32.63 inference(unit_resolution,[status(thm)],[20845, 271, 20834, 20705])).
% 49.54/32.63 tff(20847,plain,
% 49.54/32.63 (((~![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))),
% 49.54/32.63 inference(rewrite,[status(thm)],[])).
% 49.54/32.63 tff(20848,plain,
% 49.54/32.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB151, constB152)) | v102(constB152) | v104(constB152))),
% 49.54/32.63 inference(quant_inst,[status(thm)],[])).
% 49.54/32.63 tff(20849,plain,
% 49.54/32.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB151, constB152)) | v102(constB152) | v104(constB152)),
% 49.54/32.63 inference(modus_ponens,[status(thm)],[20848, 20847])).
% 49.54/32.63 tff(20850,plain,
% 49.54/32.63 (v102(constB152) | v104(constB152)),
% 49.54/32.63 inference(unit_resolution,[status(thm)],[20849, 285, 20834])).
% 49.54/32.63 tff(20851,plain,
% 49.54/32.63 (v102(constB152)),
% 49.54/32.63 inference(unit_resolution,[status(thm)],[20850, 20846])).
% 49.54/32.63 tff(20852,plain,
% 49.54/32.63 (v1(constB152) <=> v1(constB152)),
% 49.54/32.63 inference(rewrite,[status(thm)],[])).
% 49.54/32.63 tff(20853,axiom,(v1(constB152)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_152_1')).
% 49.54/32.63 tff(20854,plain,
% 49.54/32.63 (v1(constB152)),
% 49.54/32.63 inference(modus_ponens,[status(thm)],[20853, 20852])).
% 49.54/32.63 tff(20855,plain,
% 49.54/32.63 (((~![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)))),
% 49.54/32.63 inference(rewrite,[status(thm)],[])).
% 49.54/32.63 tff(20856,plain,
% 49.54/32.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB151, constB152)) | v101(constB152) | (~v102(constB152)) | (~v1(constB152)))),
% 49.54/32.63 inference(quant_inst,[status(thm)],[])).
% 49.54/32.63 tff(20857,plain,
% 49.54/32.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB151, constB152)) | v101(constB152) | (~v102(constB152)) | (~v1(constB152))),
% 49.54/32.63 inference(modus_ponens,[status(thm)],[20856, 20855])).
% 49.54/32.63 tff(20858,plain,
% 49.54/32.63 (v101(constB152) | (~v102(constB152))),
% 49.54/32.63 inference(unit_resolution,[status(thm)],[20857, 303, 20834, 20854])).
% 49.54/32.63 tff(20859,plain,
% 49.54/32.63 (v101(constB152)),
% 49.54/32.63 inference(unit_resolution,[status(thm)],[20858, 20851])).
% 49.54/32.63 tff(20860,plain,
% 49.54/32.63 (((~![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)))),
% 49.54/32.63 inference(rewrite,[status(thm)],[])).
% 49.54/32.63 tff(20861,plain,
% 49.54/32.63 (((~nextState(constB151, constB152)) | (~v101(constB152)) | (~v110(constB152)) | v100(constB152)) <=> ((~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152)))),
% 49.54/32.63 inference(rewrite,[status(thm)],[])).
% 49.54/32.63 tff(20862,plain,
% 49.54/32.63 (((~![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))))),
% 49.54/32.63 inference(monotonicity,[status(thm)],[20861])).
% 49.54/32.63 tff(20863,plain,
% 49.54/32.63 (((~![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)))),
% 49.54/32.63 inference(transitivity,[status(thm)],[20862, 20860])).
% 49.54/32.63 tff(20864,plain,
% 49.54/32.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB151, constB152)) | (~v101(constB152)) | (~v110(constB152)) | v100(constB152))),
% 49.54/32.63 inference(quant_inst,[status(thm)],[])).
% 49.54/32.63 tff(20865,plain,
% 49.54/32.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152))),
% 49.54/32.63 inference(modus_ponens,[status(thm)],[20864, 20863])).
% 49.54/32.63 tff(20866,plain,
% 49.54/32.63 (v100(constB152) | (~v101(constB152)) | (~v110(constB152))),
% 49.54/32.63 inference(unit_resolution,[status(thm)],[20865, 318, 20834])).
% 49.54/32.63 tff(20867,plain,
% 49.54/32.63 (v100(constB152) | (~v110(constB152))),
% 49.54/32.63 inference(unit_resolution,[status(thm)],[20866, 20859])).
% 49.54/32.63 tff(20868,plain,
% 49.54/32.63 (v100(constB152)),
% 49.54/32.63 inference(unit_resolution,[status(thm)],[20867, 20842])).
% 49.54/32.63 tff(20869,plain,
% 49.54/32.63 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB151)) | v130(constB151, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB151)) | v130(constB151, bitIndex2))),
% 49.54/32.63 inference(rewrite,[status(thm)],[])).
% 49.54/32.63 tff(20870,plain,
% 49.54/32.63 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB151)) | v130(constB151, bitIndex2))),
% 49.54/32.63 inference(quant_inst,[status(thm)],[])).
% 49.54/32.63 tff(20871,plain,
% 49.54/32.63 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB151)) | v130(constB151, bitIndex2)),
% 49.54/32.63 inference(modus_ponens,[status(thm)],[20870, 20869])).
% 49.54/32.63 tff(20872,plain,
% 49.54/32.63 (v130(constB151, bitIndex2)),
% 49.54/32.63 inference(unit_resolution,[status(thm)],[20871, 1876, 20795])).
% 49.54/32.63 tff(20873,assumption,(v26(constB151)), introduced(assumption)).
% 49.54/32.63 tff(20874,plain,
% 49.54/32.63 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB151))),
% 49.54/32.63 inference(quant_inst,[status(thm)],[])).
% 49.54/32.63 tff(20875,plain,
% 49.54/32.63 ($false),
% 49.54/32.63 inference(unit_resolution,[status(thm)],[20874, 16, 20873])).
% 49.54/32.63 tff(20876,plain,(~v26(constB151)), inference(lemma,lemma(discharge,[]))).
% 49.54/32.63 tff(20877,plain,
% 49.54/32.63 (((~![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))),
% 49.54/32.63 inference(rewrite,[status(thm)],[])).
% 49.54/32.63 tff(20878,plain,
% 49.54/32.63 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB151) | (~v130(constB151, bitIndex2)) | v127(constB151, bitIndex2))),
% 49.54/32.63 inference(quant_inst,[status(thm)],[])).
% 49.54/32.63 tff(20879,plain,
% 49.54/32.63 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB151) | (~v130(constB151, bitIndex2)) | v127(constB151, bitIndex2)),
% 49.54/32.63 inference(modus_ponens,[status(thm)],[20878, 20877])).
% 49.54/32.63 tff(20880,plain,
% 49.54/32.63 ((~v130(constB151, bitIndex2)) | v127(constB151, bitIndex2)),
% 49.54/32.63 inference(unit_resolution,[status(thm)],[20879, 351, 20876])).
% 49.54/32.63 tff(20881,plain,
% 49.54/32.63 (v127(constB151, bitIndex2)),
% 49.54/32.63 inference(unit_resolution,[status(thm)],[20880, 20872])).
% 49.54/32.63 tff(20882,plain,
% 49.54/32.63 (((~![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))),
% 49.54/32.63 inference(rewrite,[status(thm)],[])).
% 49.54/32.63 tff(20883,plain,
% 49.54/32.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB151, constB152)) | (~v127(constB151, bitIndex2)) | v129(constB152, bitIndex2))),
% 49.54/32.63 inference(quant_inst,[status(thm)],[])).
% 49.54/32.63 tff(20884,plain,
% 49.54/32.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB151, constB152)) | (~v127(constB151, bitIndex2)) | v129(constB152, bitIndex2)),
% 49.54/32.63 inference(modus_ponens,[status(thm)],[20883, 20882])).
% 49.54/32.63 tff(20885,plain,
% 49.54/32.63 ((~v127(constB151, bitIndex2)) | v129(constB152, bitIndex2)),
% 49.54/32.63 inference(unit_resolution,[status(thm)],[20884, 366, 20834])).
% 49.54/32.63 tff(20886,plain,
% 49.54/32.63 (v129(constB152, bitIndex2)),
% 49.54/32.63 inference(unit_resolution,[status(thm)],[20885, 20881])).
% 49.54/32.63 tff(20887,plain,
% 49.54/32.63 (((~![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)))),
% 49.54/32.63 inference(rewrite,[status(thm)],[])).
% 49.54/32.63 tff(20888,plain,
% 49.54/32.63 ((v90(constB152, bitIndex2) | (~v100(constB152)) | (~v129(constB152, bitIndex2))) <=> (v90(constB152, bitIndex2) | (~v129(constB152, bitIndex2)) | (~v100(constB152)))),
% 49.54/32.63 inference(rewrite,[status(thm)],[])).
% 49.54/32.63 tff(20889,plain,
% 49.54/32.63 (((~![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))))),
% 49.54/32.63 inference(monotonicity,[status(thm)],[20888])).
% 49.54/32.63 tff(20890,plain,
% 49.54/32.63 (((~![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)))),
% 49.54/32.63 inference(transitivity,[status(thm)],[20889, 20887])).
% 49.54/32.63 tff(20891,plain,
% 49.54/32.63 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB152, bitIndex2) | (~v100(constB152)) | (~v129(constB152, bitIndex2)))),
% 49.54/32.63 inference(quant_inst,[status(thm)],[])).
% 49.54/32.63 tff(20892,plain,
% 49.54/32.63 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB152, bitIndex2) | (~v129(constB152, bitIndex2)) | (~v100(constB152))),
% 49.54/32.63 inference(modus_ponens,[status(thm)],[20891, 20890])).
% 49.54/32.63 tff(20893,plain,
% 49.54/32.63 (v90(constB152, bitIndex2) | (~v100(constB152))),
% 49.54/32.63 inference(unit_resolution,[status(thm)],[20892, 381, 20886])).
% 49.54/32.63 tff(20894,plain,
% 49.54/32.63 (v90(constB152, bitIndex2)),
% 49.54/32.63 inference(unit_resolution,[status(thm)],[20893, 20868])).
% 49.54/32.63 tff(20895,plain,
% 49.54/32.63 ((~v1(constB153)) <=> (~v1(constB153))),
% 49.54/32.63 inference(rewrite,[status(thm)],[])).
% 49.54/32.63 tff(20896,axiom,(~v1(constB153)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_153_1_1')).
% 49.54/32.63 tff(20897,plain,
% 49.54/32.63 (~v1(constB153)),
% 49.54/32.63 inference(modus_ponens,[status(thm)],[20896, 20895])).
% 49.54/32.63 tff(20898,plain,
% 49.54/32.63 (nextState(constB152, constB153) <=> nextState(constB152, constB153)),
% 49.54/32.63 inference(rewrite,[status(thm)],[])).
% 49.54/32.63 tff(20899,axiom,(nextState(constB152, constB153)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_152_1')).
% 49.54/32.63 tff(20900,plain,
% 49.54/32.63 (nextState(constB152, constB153)),
% 49.54/32.63 inference(modus_ponens,[status(thm)],[20899, 20898])).
% 49.54/32.63 tff(20901,plain,
% 49.54/32.63 (((~![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)))),
% 49.54/32.63 inference(rewrite,[status(thm)],[])).
% 49.54/32.63 tff(20902,plain,
% 49.54/32.63 (((~nextState(constB152, constB153)) | (~v101(constB153)) | v1(constB153)) <=> (v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153)))),
% 49.54/32.63 inference(rewrite,[status(thm)],[])).
% 49.54/32.63 tff(20903,plain,
% 49.54/32.63 (((~![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))))),
% 49.54/32.63 inference(monotonicity,[status(thm)],[20902])).
% 49.54/32.63 tff(20904,plain,
% 49.54/32.63 (((~![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)))),
% 49.54/32.63 inference(transitivity,[status(thm)],[20903, 20901])).
% 49.54/32.63 tff(20905,plain,
% 49.54/32.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB152, constB153)) | (~v101(constB153)) | v1(constB153))),
% 49.54/32.63 inference(quant_inst,[status(thm)],[])).
% 49.54/32.63 tff(20906,plain,
% 49.54/32.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153))),
% 49.54/32.63 inference(modus_ponens,[status(thm)],[20905, 20904])).
% 49.54/32.63 tff(20907,plain,
% 49.54/32.63 (~v101(constB153)),
% 49.54/32.63 inference(unit_resolution,[status(thm)],[20906, 49, 20900, 20897])).
% 49.54/32.63 tff(20908,plain,
% 49.54/32.63 (((~![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)))),
% 49.54/32.63 inference(rewrite,[status(thm)],[])).
% 49.54/32.63 tff(20909,plain,
% 49.54/32.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB152, constB153)) | v101(constB153) | (~v100(constB153)))),
% 49.54/32.63 inference(quant_inst,[status(thm)],[])).
% 49.54/32.63 tff(20910,plain,
% 49.54/32.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB152, constB153)) | v101(constB153) | (~v100(constB153))),
% 49.54/32.63 inference(modus_ponens,[status(thm)],[20909, 20908])).
% 49.54/32.63 tff(20911,plain,
% 49.54/32.63 (v101(constB153) | (~v100(constB153))),
% 49.54/32.63 inference(unit_resolution,[status(thm)],[20910, 66, 20900])).
% 49.54/32.63 tff(20912,plain,
% 49.54/32.63 (~v100(constB153)),
% 49.54/32.63 inference(unit_resolution,[status(thm)],[20911, 20907])).
% 49.54/32.63 tff(20913,plain,
% 49.54/32.63 (((~![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))),
% 49.54/32.63 inference(rewrite,[status(thm)],[])).
% 49.54/32.63 tff(20914,plain,
% 49.54/32.63 (((~nextState(constB152, constB153)) | (~v90(constB152, bitIndex2)) | v100(constB153) | v90(constB153, bitIndex2)) <=> ((~v90(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, bitIndex2))),
% 49.54/32.63 inference(rewrite,[status(thm)],[])).
% 49.54/32.63 tff(20915,plain,
% 49.54/32.63 (((~![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)))),
% 49.54/32.63 inference(monotonicity,[status(thm)],[20914])).
% 49.54/32.63 tff(20916,plain,
% 49.54/32.63 (((~![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))),
% 49.54/32.63 inference(transitivity,[status(thm)],[20915, 20913])).
% 49.54/32.63 tff(20917,plain,
% 49.54/32.63 ((~![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))),
% 49.54/32.63 inference(quant_inst,[status(thm)],[])).
% 49.54/32.63 tff(20918,plain,
% 49.54/32.63 ((~![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)),
% 49.54/32.63 inference(modus_ponens,[status(thm)],[20917, 20916])).
% 49.54/32.63 tff(20919,plain,
% 49.54/32.63 ((~v90(constB152, bitIndex2)) | v100(constB153) | v90(constB153, bitIndex2)),
% 49.54/32.63 inference(unit_resolution,[status(thm)],[20918, 417, 20900])).
% 49.54/32.63 tff(20920,plain,
% 49.54/32.63 ((~v90(constB152, bitIndex2)) | v90(constB153, bitIndex2)),
% 49.54/32.63 inference(unit_resolution,[status(thm)],[20919, 20912])).
% 49.54/32.63 tff(20921,plain,
% 49.54/32.63 (v90(constB153, bitIndex2)),
% 49.54/32.63 inference(unit_resolution,[status(thm)],[20920, 20894])).
% 49.54/32.63 tff(20922,plain,
% 49.54/32.63 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB151)) | (~v130(constB151, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB151)) | (~v130(constB151, bitIndex1)))),
% 49.54/32.63 inference(rewrite,[status(thm)],[])).
% 49.54/32.63 tff(20923,plain,
% 49.54/32.63 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB151)) | (~v130(constB151, bitIndex1)))),
% 49.54/32.63 inference(quant_inst,[status(thm)],[])).
% 49.54/32.63 tff(20924,plain,
% 49.54/32.63 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB151)) | (~v130(constB151, bitIndex1))),
% 49.54/32.63 inference(modus_ponens,[status(thm)],[20923, 20922])).
% 49.54/32.63 tff(20925,plain,
% 49.54/32.63 (~v130(constB151, bitIndex1)),
% 49.54/32.63 inference(unit_resolution,[status(thm)],[20924, 1935, 20795])).
% 49.54/32.63 tff(20926,plain,
% 49.54/32.63 (((~![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))),
% 49.54/32.63 inference(rewrite,[status(thm)],[])).
% 49.54/32.63 tff(20927,plain,
% 49.54/32.63 ((v26(constB151) | v130(constB151, bitIndex1) | (~v127(constB151, bitIndex1))) <=> ((~v127(constB151, bitIndex1)) | v26(constB151) | v130(constB151, bitIndex1))),
% 49.54/32.63 inference(rewrite,[status(thm)],[])).
% 49.54/32.63 tff(20928,plain,
% 49.54/32.63 (((~![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)))),
% 49.54/32.63 inference(monotonicity,[status(thm)],[20927])).
% 49.54/32.63 tff(20929,plain,
% 49.54/32.63 (((~![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))),
% 49.54/32.63 inference(transitivity,[status(thm)],[20928, 20926])).
% 49.54/32.63 tff(20930,plain,
% 49.54/32.63 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB151) | v130(constB151, bitIndex1) | (~v127(constB151, bitIndex1)))),
% 49.54/32.63 inference(quant_inst,[status(thm)],[])).
% 49.54/32.63 tff(20931,plain,
% 49.54/32.63 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB151, bitIndex1)) | v26(constB151) | v130(constB151, bitIndex1)),
% 49.54/32.63 inference(modus_ponens,[status(thm)],[20930, 20929])).
% 49.54/32.63 tff(20932,plain,
% 49.54/32.63 ((~v127(constB151, bitIndex1)) | v130(constB151, bitIndex1)),
% 49.54/32.63 inference(unit_resolution,[status(thm)],[20931, 450, 20876])).
% 49.54/32.63 tff(20933,plain,
% 49.54/32.63 (~v127(constB151, bitIndex1)),
% 49.54/32.63 inference(unit_resolution,[status(thm)],[20932, 20925])).
% 49.54/32.63 tff(20934,plain,
% 49.54/32.63 (((~![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)))),
% 49.54/32.63 inference(rewrite,[status(thm)],[])).
% 49.54/32.63 tff(20935,plain,
% 49.54/32.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB151, constB152)) | v127(constB151, bitIndex1) | (~v129(constB152, bitIndex1)))),
% 49.54/32.63 inference(quant_inst,[status(thm)],[])).
% 49.54/32.63 tff(20936,plain,
% 49.54/32.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB151, constB152)) | v127(constB151, bitIndex1) | (~v129(constB152, bitIndex1))),
% 49.54/32.63 inference(modus_ponens,[status(thm)],[20935, 20934])).
% 49.54/32.63 tff(20937,plain,
% 49.54/32.63 (v127(constB151, bitIndex1) | (~v129(constB152, bitIndex1))),
% 49.54/32.63 inference(unit_resolution,[status(thm)],[20936, 468, 20834])).
% 49.54/32.63 tff(20938,plain,
% 49.54/32.63 (~v129(constB152, bitIndex1)),
% 49.54/32.63 inference(unit_resolution,[status(thm)],[20937, 20933])).
% 49.54/32.63 tff(20939,plain,
% 49.54/32.63 (((~![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)))),
% 49.54/32.63 inference(rewrite,[status(thm)],[])).
% 49.54/32.63 tff(20940,plain,
% 49.54/32.63 (((~v90(constB152, bitIndex1)) | (~v100(constB152)) | v129(constB152, bitIndex1)) <=> ((~v90(constB152, bitIndex1)) | v129(constB152, bitIndex1) | (~v100(constB152)))),
% 49.54/32.63 inference(rewrite,[status(thm)],[])).
% 49.54/32.63 tff(20941,plain,
% 49.54/32.63 (((~![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))))),
% 49.54/32.63 inference(monotonicity,[status(thm)],[20940])).
% 49.54/32.63 tff(20942,plain,
% 49.54/32.63 (((~![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)))),
% 49.54/32.63 inference(transitivity,[status(thm)],[20941, 20939])).
% 49.54/32.63 tff(20943,plain,
% 49.54/32.63 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB152, bitIndex1)) | (~v100(constB152)) | v129(constB152, bitIndex1))),
% 49.54/32.63 inference(quant_inst,[status(thm)],[])).
% 49.54/32.63 tff(20944,plain,
% 49.54/32.63 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB152, bitIndex1)) | v129(constB152, bitIndex1) | (~v100(constB152))),
% 49.54/32.63 inference(modus_ponens,[status(thm)],[20943, 20942])).
% 49.54/32.63 tff(20945,plain,
% 49.54/32.63 ((~v90(constB152, bitIndex1)) | (~v100(constB152))),
% 49.54/32.63 inference(unit_resolution,[status(thm)],[20944, 483, 20938])).
% 49.54/32.63 tff(20946,plain,
% 49.54/32.63 (~v90(constB152, bitIndex1)),
% 49.54/32.63 inference(unit_resolution,[status(thm)],[20945, 20868])).
% 49.54/32.63 tff(20947,plain,
% 49.54/32.63 (((~![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)))),
% 49.54/32.63 inference(rewrite,[status(thm)],[])).
% 49.54/32.63 tff(20948,plain,
% 49.54/32.63 (((~nextState(constB152, constB153)) | v90(constB152, bitIndex1) | v100(constB153) | (~v90(constB153, bitIndex1))) <=> (v90(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex1)))),
% 49.54/32.63 inference(rewrite,[status(thm)],[])).
% 49.54/32.63 tff(20949,plain,
% 49.54/32.63 (((~![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))))),
% 49.54/32.63 inference(monotonicity,[status(thm)],[20948])).
% 49.54/32.63 tff(20950,plain,
% 49.54/32.63 (((~![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)))),
% 49.54/32.63 inference(transitivity,[status(thm)],[20949, 20947])).
% 49.54/32.63 tff(20951,plain,
% 49.54/32.63 ((~![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)))),
% 49.54/32.63 inference(quant_inst,[status(thm)],[])).
% 49.54/32.63 tff(20952,plain,
% 49.54/32.63 ((~![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))),
% 49.54/32.63 inference(modus_ponens,[status(thm)],[20951, 20950])).
% 49.54/32.63 tff(20953,plain,
% 49.54/32.63 (v90(constB152, bitIndex1) | v100(constB153) | (~v90(constB153, bitIndex1))),
% 49.54/32.63 inference(unit_resolution,[status(thm)],[20952, 102, 20900])).
% 49.54/32.63 tff(20954,plain,
% 49.54/32.63 (v90(constB152, bitIndex1) | (~v90(constB153, bitIndex1))),
% 49.54/32.63 inference(unit_resolution,[status(thm)],[20953, 20912])).
% 49.54/32.63 tff(20955,plain,
% 49.54/32.63 (~v90(constB153, bitIndex1)),
% 49.54/32.63 inference(unit_resolution,[status(thm)],[20954, 20946])).
% 49.54/32.63 tff(20956,plain,
% 49.54/32.63 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB151)) | (~v130(constB151, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB151)) | (~v130(constB151, bitIndex0)))),
% 49.54/32.63 inference(rewrite,[status(thm)],[])).
% 49.54/32.63 tff(20957,plain,
% 49.54/32.63 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB151)) | (~v130(constB151, bitIndex0)))),
% 49.54/32.63 inference(quant_inst,[status(thm)],[])).
% 49.54/32.63 tff(20958,plain,
% 49.54/32.63 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB151)) | (~v130(constB151, bitIndex0))),
% 49.54/32.63 inference(modus_ponens,[status(thm)],[20957, 20956])).
% 49.54/32.63 tff(20959,plain,
% 49.54/32.63 (~v130(constB151, bitIndex0)),
% 49.54/32.63 inference(unit_resolution,[status(thm)],[20958, 1997, 20795])).
% 49.54/32.63 tff(20960,plain,
% 49.54/32.63 (((~![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))),
% 49.54/32.63 inference(rewrite,[status(thm)],[])).
% 49.54/32.63 tff(20961,plain,
% 49.54/32.63 ((v26(constB151) | v130(constB151, bitIndex0) | (~v127(constB151, bitIndex0))) <=> ((~v127(constB151, bitIndex0)) | v26(constB151) | v130(constB151, bitIndex0))),
% 49.54/32.63 inference(rewrite,[status(thm)],[])).
% 49.54/32.63 tff(20962,plain,
% 49.54/32.63 (((~![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)))),
% 49.54/32.63 inference(monotonicity,[status(thm)],[20961])).
% 49.54/32.63 tff(20963,plain,
% 49.54/32.63 (((~![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))),
% 49.54/32.63 inference(transitivity,[status(thm)],[20962, 20960])).
% 49.54/32.63 tff(20964,plain,
% 49.54/32.63 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB151) | v130(constB151, bitIndex0) | (~v127(constB151, bitIndex0)))),
% 49.54/32.63 inference(quant_inst,[status(thm)],[])).
% 49.54/32.63 tff(20965,plain,
% 49.54/32.63 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB151, bitIndex0)) | v26(constB151) | v130(constB151, bitIndex0)),
% 49.54/32.63 inference(modus_ponens,[status(thm)],[20964, 20963])).
% 49.54/32.63 tff(20966,plain,
% 49.54/32.63 ((~v127(constB151, bitIndex0)) | v130(constB151, bitIndex0)),
% 49.54/32.63 inference(unit_resolution,[status(thm)],[20965, 524, 20876])).
% 49.54/32.63 tff(20967,plain,
% 49.54/32.63 (~v127(constB151, bitIndex0)),
% 49.54/32.63 inference(unit_resolution,[status(thm)],[20966, 20959])).
% 49.54/32.63 tff(20968,plain,
% 49.54/32.63 (((~![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)))),
% 49.54/32.63 inference(rewrite,[status(thm)],[])).
% 49.54/32.63 tff(20969,plain,
% 49.54/32.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB151, constB152)) | v127(constB151, bitIndex0) | (~v129(constB152, bitIndex0)))),
% 49.54/32.63 inference(quant_inst,[status(thm)],[])).
% 49.54/32.63 tff(20970,plain,
% 49.54/32.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB151, constB152)) | v127(constB151, bitIndex0) | (~v129(constB152, bitIndex0))),
% 49.54/32.63 inference(modus_ponens,[status(thm)],[20969, 20968])).
% 49.54/32.63 tff(20971,plain,
% 49.54/32.63 (v127(constB151, bitIndex0) | (~v129(constB152, bitIndex0))),
% 49.54/32.63 inference(unit_resolution,[status(thm)],[20970, 542, 20834])).
% 49.54/32.63 tff(20972,plain,
% 49.54/32.63 (~v129(constB152, bitIndex0)),
% 49.54/32.63 inference(unit_resolution,[status(thm)],[20971, 20967])).
% 49.54/32.63 tff(20973,plain,
% 49.54/32.63 (((~![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)))),
% 49.54/32.64 inference(rewrite,[status(thm)],[])).
% 49.54/32.64 tff(20974,plain,
% 49.54/32.64 (((~v90(constB152, bitIndex0)) | (~v100(constB152)) | v129(constB152, bitIndex0)) <=> ((~v90(constB152, bitIndex0)) | v129(constB152, bitIndex0) | (~v100(constB152)))),
% 49.54/32.64 inference(rewrite,[status(thm)],[])).
% 49.54/32.64 tff(20975,plain,
% 49.54/32.64 (((~![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))))),
% 49.54/32.64 inference(monotonicity,[status(thm)],[20974])).
% 49.54/32.64 tff(20976,plain,
% 49.54/32.64 (((~![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)))),
% 49.54/32.64 inference(transitivity,[status(thm)],[20975, 20973])).
% 49.54/32.64 tff(20977,plain,
% 49.54/32.64 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB152, bitIndex0)) | (~v100(constB152)) | v129(constB152, bitIndex0))),
% 49.54/32.64 inference(quant_inst,[status(thm)],[])).
% 49.54/32.64 tff(20978,plain,
% 49.54/32.64 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB152, bitIndex0)) | v129(constB152, bitIndex0) | (~v100(constB152))),
% 49.54/32.64 inference(modus_ponens,[status(thm)],[20977, 20976])).
% 49.54/32.64 tff(20979,plain,
% 49.54/32.64 ((~v90(constB152, bitIndex0)) | (~v100(constB152))),
% 49.54/32.64 inference(unit_resolution,[status(thm)],[20978, 557, 20972])).
% 49.54/32.64 tff(20980,plain,
% 49.54/32.64 (~v90(constB152, bitIndex0)),
% 49.54/32.64 inference(unit_resolution,[status(thm)],[20979, 20868])).
% 49.54/32.64 tff(20981,plain,
% 49.54/32.64 (((~![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)))),
% 49.54/32.64 inference(rewrite,[status(thm)],[])).
% 49.54/32.64 tff(20982,plain,
% 49.54/32.64 (((~nextState(constB152, constB153)) | v90(constB152, bitIndex0) | v100(constB153) | (~v90(constB153, bitIndex0))) <=> (v90(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, bitIndex0)))),
% 49.54/32.64 inference(rewrite,[status(thm)],[])).
% 49.54/32.64 tff(20983,plain,
% 49.54/32.64 (((~![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))))),
% 49.54/32.64 inference(monotonicity,[status(thm)],[20982])).
% 49.54/32.64 tff(20984,plain,
% 49.54/32.64 (((~![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)))),
% 49.54/32.64 inference(transitivity,[status(thm)],[20983, 20981])).
% 49.54/32.64 tff(20985,plain,
% 49.54/32.64 ((~![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)))),
% 49.54/32.64 inference(quant_inst,[status(thm)],[])).
% 49.54/32.64 tff(20986,plain,
% 49.54/32.64 ((~![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))),
% 49.54/32.64 inference(modus_ponens,[status(thm)],[20985, 20984])).
% 49.54/32.64 tff(20987,plain,
% 49.54/32.64 (v90(constB152, bitIndex0) | v100(constB153) | (~v90(constB153, bitIndex0))),
% 49.54/32.64 inference(unit_resolution,[status(thm)],[20986, 123, 20900])).
% 49.54/32.64 tff(20988,plain,
% 49.54/32.64 (v90(constB152, bitIndex0) | (~v90(constB153, bitIndex0))),
% 49.54/32.64 inference(unit_resolution,[status(thm)],[20987, 20912])).
% 49.54/32.64 tff(20989,plain,
% 49.54/32.64 (~v90(constB153, bitIndex0)),
% 49.54/32.64 inference(unit_resolution,[status(thm)],[20988, 20980])).
% 49.54/32.64 tff(20990,plain,
% 49.54/32.64 (((~![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))),
% 49.54/32.64 inference(rewrite,[status(thm)],[])).
% 49.54/32.64 tff(20991,plain,
% 49.54/32.64 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2)) | v123(constB153))),
% 49.54/32.64 inference(quant_inst,[status(thm)],[])).
% 49.54/32.64 tff(20992,plain,
% 49.54/32.64 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB153, bitIndex0) | v90(constB153, bitIndex1) | (~v90(constB153, bitIndex2)) | v123(constB153)),
% 49.54/32.64 inference(modus_ponens,[status(thm)],[20991, 20990])).
% 49.54/32.64 tff(20993,plain,
% 49.54/32.64 (v123(constB153)),
% 49.54/32.64 inference(unit_resolution,[status(thm)],[20992, 584, 20989, 20955, 20921])).
% 49.54/32.64 tff(20994,plain,
% 49.54/32.64 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB153) | (~v123(constB153)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB153) | (~v123(constB153)))),
% 49.54/32.64 inference(rewrite,[status(thm)],[])).
% 49.54/32.64 tff(20995,plain,
% 49.54/32.64 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB153) | (~v123(constB153)))),
% 49.54/32.64 inference(quant_inst,[status(thm)],[])).
% 49.54/32.64 tff(20996,plain,
% 49.54/32.64 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB153) | (~v123(constB153))),
% 49.54/32.64 inference(modus_ponens,[status(thm)],[20995, 20994])).
% 49.54/32.64 tff(20997,plain,
% 49.54/32.64 (v115(constB153)),
% 49.54/32.64 inference(unit_resolution,[status(thm)],[20996, 595, 20993])).
% 49.54/32.64 tff(20998,plain,
% 49.54/32.64 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB153) | (~v115(constB153)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB153) | (~v115(constB153)))),
% 49.54/32.64 inference(rewrite,[status(thm)],[])).
% 49.54/32.64 tff(20999,plain,
% 49.54/32.64 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB153) | (~v115(constB153)))),
% 49.54/32.64 inference(quant_inst,[status(thm)],[])).
% 49.54/32.64 tff(21000,plain,
% 49.54/32.64 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB153) | (~v115(constB153))),
% 49.54/32.64 inference(modus_ponens,[status(thm)],[20999, 20998])).
% 49.54/32.64 tff(21001,plain,
% 49.54/32.64 (v114(constB153)),
% 49.54/32.64 inference(unit_resolution,[status(thm)],[21000, 199, 20997])).
% 49.54/32.64 tff(21002,plain,
% 49.54/32.64 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB153) | (~v114(constB153)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB153) | (~v114(constB153)))),
% 49.54/32.64 inference(rewrite,[status(thm)],[])).
% 49.54/32.64 tff(21003,plain,
% 49.54/32.64 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB153) | (~v114(constB153)))),
% 49.54/32.64 inference(quant_inst,[status(thm)],[])).
% 49.54/32.64 tff(21004,plain,
% 49.54/32.64 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB153) | (~v114(constB153))),
% 49.54/32.64 inference(modus_ponens,[status(thm)],[21003, 21002])).
% 49.54/32.64 tff(21005,plain,
% 49.54/32.64 (v113(constB153)),
% 49.54/32.64 inference(unit_resolution,[status(thm)],[21004, 210, 21001])).
% 49.54/32.64 tff(21006,assumption,(v26(constB153)), introduced(assumption)).
% 49.54/32.64 tff(21007,plain,
% 49.54/32.64 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB153))),
% 49.54/32.64 inference(quant_inst,[status(thm)],[])).
% 49.54/32.64 tff(21008,plain,
% 49.54/32.64 ($false),
% 49.54/32.64 inference(unit_resolution,[status(thm)],[21007, 16, 21006])).
% 49.54/32.64 tff(21009,plain,(~v26(constB153)), inference(lemma,lemma(discharge,[]))).
% 49.54/32.64 tff(21010,plain,
% 49.54/32.64 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB153) | v112(constB153) | (~v113(constB153)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB153) | v112(constB153) | (~v113(constB153)))),
% 49.54/32.64 inference(rewrite,[status(thm)],[])).
% 49.54/32.64 tff(21011,plain,
% 49.54/32.64 ((v26(constB153) | (~v113(constB153)) | v112(constB153)) <=> (v26(constB153) | v112(constB153) | (~v113(constB153)))),
% 49.54/32.64 inference(rewrite,[status(thm)],[])).
% 49.54/32.64 tff(21012,plain,
% 49.54/32.64 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB153) | (~v113(constB153)) | v112(constB153))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB153) | v112(constB153) | (~v113(constB153))))),
% 49.54/32.64 inference(monotonicity,[status(thm)],[21011])).
% 49.54/32.64 tff(21013,plain,
% 49.54/32.64 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB153) | (~v113(constB153)) | v112(constB153))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB153) | v112(constB153) | (~v113(constB153)))),
% 49.54/32.64 inference(transitivity,[status(thm)],[21012, 21010])).
% 49.54/32.64 tff(21014,plain,
% 49.54/32.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB153) | (~v113(constB153)) | v112(constB153))),
% 49.54/32.64 inference(quant_inst,[status(thm)],[])).
% 49.54/32.64 tff(21015,plain,
% 49.54/32.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB153) | v112(constB153) | (~v113(constB153))),
% 49.54/32.64 inference(modus_ponens,[status(thm)],[21014, 21013])).
% 49.54/32.64 tff(21016,plain,
% 49.54/32.64 (v112(constB153) | (~v113(constB153))),
% 49.54/32.64 inference(unit_resolution,[status(thm)],[21015, 224, 21009])).
% 49.54/32.64 tff(21017,plain,
% 49.54/32.64 (v112(constB153)),
% 49.54/32.64 inference(unit_resolution,[status(thm)],[21016, 21005])).
% 49.54/32.64 tff(21018,plain,
% 49.54/32.64 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB153) | (~v112(constB153)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB153) | (~v112(constB153)))),
% 49.54/32.64 inference(rewrite,[status(thm)],[])).
% 49.54/32.64 tff(21019,plain,
% 49.54/32.64 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB153) | (~v112(constB153)))),
% 49.54/32.64 inference(quant_inst,[status(thm)],[])).
% 49.54/32.64 tff(21020,plain,
% 49.54/32.64 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB153) | (~v112(constB153))),
% 49.54/32.64 inference(modus_ponens,[status(thm)],[21019, 21018])).
% 49.54/32.64 tff(21021,plain,
% 49.54/32.64 (v108(constB153)),
% 49.54/32.64 inference(unit_resolution,[status(thm)],[21020, 236, 21017])).
% 49.54/32.64 tff(21022,plain,
% 49.54/32.64 (nextState(constB153, constB154) <=> nextState(constB153, constB154)),
% 49.54/32.64 inference(rewrite,[status(thm)],[])).
% 49.54/32.64 tff(21023,axiom,(nextState(constB153, constB154)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_153_1')).
% 49.54/32.64 tff(21024,plain,
% 49.54/32.64 (nextState(constB153, constB154)),
% 49.54/32.64 inference(modus_ponens,[status(thm)],[21023, 21022])).
% 49.54/32.64 tff(21025,plain,
% 49.54/32.64 (((~![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)))),
% 49.54/32.64 inference(rewrite,[status(thm)],[])).
% 49.54/32.64 tff(21026,plain,
% 49.54/32.64 (((~nextState(constB153, constB154)) | (~v108(constB153)) | v110(constB154)) <=> ((~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153)))),
% 49.54/32.64 inference(rewrite,[status(thm)],[])).
% 49.54/32.64 tff(21027,plain,
% 49.54/32.64 (((~![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))))),
% 49.54/32.64 inference(monotonicity,[status(thm)],[21026])).
% 49.54/32.64 tff(21028,plain,
% 49.54/32.64 (((~![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)))),
% 49.54/32.64 inference(transitivity,[status(thm)],[21027, 21025])).
% 49.54/32.64 tff(21029,plain,
% 49.54/32.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB153, constB154)) | (~v108(constB153)) | v110(constB154))),
% 49.54/32.64 inference(quant_inst,[status(thm)],[])).
% 49.54/32.64 tff(21030,plain,
% 49.54/32.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153))),
% 49.54/32.64 inference(modus_ponens,[status(thm)],[21029, 21028])).
% 49.54/32.64 tff(21031,plain,
% 49.54/32.64 (v110(constB154) | (~v108(constB153))),
% 49.54/32.64 inference(unit_resolution,[status(thm)],[21030, 253, 21024])).
% 49.54/32.64 tff(21032,plain,
% 49.54/32.64 (v110(constB154)),
% 49.54/32.64 inference(unit_resolution,[status(thm)],[21031, 21021])).
% 49.54/32.64 tff(21033,plain,
% 49.54/32.64 (((~![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)))),
% 49.54/32.64 inference(rewrite,[status(thm)],[])).
% 49.54/32.64 tff(21034,plain,
% 49.54/32.64 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB153) | (~nextState(constB153, constB154)) | (~v104(constB154)))),
% 49.54/32.64 inference(quant_inst,[status(thm)],[])).
% 49.54/32.64 tff(21035,plain,
% 49.54/32.64 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB153) | (~nextState(constB153, constB154)) | (~v104(constB154))),
% 49.54/32.64 inference(modus_ponens,[status(thm)],[21034, 21033])).
% 49.54/32.64 tff(21036,plain,
% 49.54/32.64 (~v104(constB154)),
% 49.54/32.64 inference(unit_resolution,[status(thm)],[21035, 271, 21024, 20897])).
% 49.54/32.64 tff(21037,plain,
% 49.54/32.64 (((~![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))),
% 49.54/32.64 inference(rewrite,[status(thm)],[])).
% 49.54/32.64 tff(21038,plain,
% 49.54/32.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB153, constB154)) | v102(constB154) | v104(constB154))),
% 49.54/32.64 inference(quant_inst,[status(thm)],[])).
% 49.54/32.64 tff(21039,plain,
% 49.54/32.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB153, constB154)) | v102(constB154) | v104(constB154)),
% 49.54/32.64 inference(modus_ponens,[status(thm)],[21038, 21037])).
% 49.54/32.64 tff(21040,plain,
% 49.54/32.64 (v102(constB154) | v104(constB154)),
% 49.54/32.64 inference(unit_resolution,[status(thm)],[21039, 285, 21024])).
% 49.54/32.64 tff(21041,plain,
% 49.54/32.64 (v102(constB154)),
% 49.54/32.64 inference(unit_resolution,[status(thm)],[21040, 21036])).
% 49.54/32.64 tff(21042,plain,
% 49.54/32.64 (v1(constB154) <=> v1(constB154)),
% 49.54/32.64 inference(rewrite,[status(thm)],[])).
% 49.54/32.64 tff(21043,axiom,(v1(constB154)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_154_1')).
% 49.54/32.64 tff(21044,plain,
% 49.54/32.64 (v1(constB154)),
% 49.54/32.64 inference(modus_ponens,[status(thm)],[21043, 21042])).
% 49.54/32.64 tff(21045,plain,
% 49.54/32.64 (((~![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)))),
% 49.54/32.64 inference(rewrite,[status(thm)],[])).
% 49.54/32.64 tff(21046,plain,
% 49.54/32.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB153, constB154)) | v101(constB154) | (~v102(constB154)) | (~v1(constB154)))),
% 49.54/32.64 inference(quant_inst,[status(thm)],[])).
% 49.54/32.64 tff(21047,plain,
% 49.54/32.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB153, constB154)) | v101(constB154) | (~v102(constB154)) | (~v1(constB154))),
% 49.54/32.64 inference(modus_ponens,[status(thm)],[21046, 21045])).
% 49.54/32.64 tff(21048,plain,
% 49.54/32.64 (v101(constB154) | (~v102(constB154))),
% 49.54/32.64 inference(unit_resolution,[status(thm)],[21047, 303, 21024, 21044])).
% 49.54/32.64 tff(21049,plain,
% 49.54/32.64 (v101(constB154)),
% 49.54/32.64 inference(unit_resolution,[status(thm)],[21048, 21041])).
% 49.54/32.64 tff(21050,plain,
% 49.54/32.64 (((~![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)))),
% 49.54/32.64 inference(rewrite,[status(thm)],[])).
% 49.54/32.64 tff(21051,plain,
% 49.54/32.64 (((~nextState(constB153, constB154)) | (~v101(constB154)) | (~v110(constB154)) | v100(constB154)) <=> ((~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154)))),
% 49.54/32.64 inference(rewrite,[status(thm)],[])).
% 49.54/32.64 tff(21052,plain,
% 49.54/32.64 (((~![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))))),
% 49.54/32.64 inference(monotonicity,[status(thm)],[21051])).
% 49.54/32.64 tff(21053,plain,
% 49.54/32.64 (((~![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)))),
% 49.54/32.64 inference(transitivity,[status(thm)],[21052, 21050])).
% 49.54/32.64 tff(21054,plain,
% 49.54/32.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB153, constB154)) | (~v101(constB154)) | (~v110(constB154)) | v100(constB154))),
% 49.54/32.64 inference(quant_inst,[status(thm)],[])).
% 49.54/32.64 tff(21055,plain,
% 49.54/32.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154))),
% 49.54/32.64 inference(modus_ponens,[status(thm)],[21054, 21053])).
% 49.54/32.64 tff(21056,plain,
% 49.54/32.64 (v100(constB154) | (~v101(constB154)) | (~v110(constB154))),
% 49.54/32.64 inference(unit_resolution,[status(thm)],[21055, 318, 21024])).
% 49.54/32.64 tff(21057,plain,
% 49.54/32.64 (v100(constB154) | (~v110(constB154))),
% 49.54/32.64 inference(unit_resolution,[status(thm)],[21056, 21049])).
% 49.54/32.64 tff(21058,plain,
% 49.54/32.64 (v100(constB154)),
% 49.54/32.64 inference(unit_resolution,[status(thm)],[21057, 21032])).
% 49.54/32.64 tff(21059,plain,
% 49.54/32.64 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB153)) | v130(constB153, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB153)) | v130(constB153, bitIndex2))),
% 49.54/32.64 inference(rewrite,[status(thm)],[])).
% 49.54/32.64 tff(21060,plain,
% 49.54/32.64 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB153)) | v130(constB153, bitIndex2))),
% 49.54/32.64 inference(quant_inst,[status(thm)],[])).
% 49.54/32.64 tff(21061,plain,
% 49.54/32.64 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB153)) | v130(constB153, bitIndex2)),
% 49.54/32.64 inference(modus_ponens,[status(thm)],[21060, 21059])).
% 49.54/32.64 tff(21062,plain,
% 49.54/32.64 (v130(constB153, bitIndex2)),
% 49.54/32.64 inference(unit_resolution,[status(thm)],[21061, 836, 20993])).
% 49.54/32.64 tff(21063,plain,
% 49.54/32.64 (((~![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))),
% 49.54/32.64 inference(rewrite,[status(thm)],[])).
% 49.54/32.64 tff(21064,plain,
% 49.54/32.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB153) | (~v130(constB153, bitIndex2)) | v127(constB153, bitIndex2))),
% 49.54/32.64 inference(quant_inst,[status(thm)],[])).
% 49.54/32.64 tff(21065,plain,
% 49.54/32.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB153) | (~v130(constB153, bitIndex2)) | v127(constB153, bitIndex2)),
% 49.54/32.64 inference(modus_ponens,[status(thm)],[21064, 21063])).
% 49.54/32.64 tff(21066,plain,
% 49.54/32.64 ((~v130(constB153, bitIndex2)) | v127(constB153, bitIndex2)),
% 49.54/32.64 inference(unit_resolution,[status(thm)],[21065, 351, 21009])).
% 49.54/32.64 tff(21067,plain,
% 49.54/32.64 (v127(constB153, bitIndex2)),
% 49.54/32.64 inference(unit_resolution,[status(thm)],[21066, 21062])).
% 49.54/32.64 tff(21068,plain,
% 49.54/32.64 (((~![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))),
% 49.54/32.64 inference(rewrite,[status(thm)],[])).
% 49.54/32.64 tff(21069,plain,
% 49.54/32.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB153, constB154)) | (~v127(constB153, bitIndex2)) | v129(constB154, bitIndex2))),
% 49.54/32.64 inference(quant_inst,[status(thm)],[])).
% 49.54/32.64 tff(21070,plain,
% 49.54/32.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB153, constB154)) | (~v127(constB153, bitIndex2)) | v129(constB154, bitIndex2)),
% 49.54/32.64 inference(modus_ponens,[status(thm)],[21069, 21068])).
% 49.54/32.64 tff(21071,plain,
% 49.54/32.64 ((~v127(constB153, bitIndex2)) | v129(constB154, bitIndex2)),
% 49.54/32.64 inference(unit_resolution,[status(thm)],[21070, 366, 21024])).
% 49.54/32.64 tff(21072,plain,
% 49.54/32.64 (v129(constB154, bitIndex2)),
% 49.54/32.64 inference(unit_resolution,[status(thm)],[21071, 21067])).
% 49.54/32.64 tff(21073,plain,
% 49.54/32.64 (((~![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)))),
% 49.54/32.64 inference(rewrite,[status(thm)],[])).
% 49.54/32.64 tff(21074,plain,
% 49.54/32.64 ((v90(constB154, bitIndex2) | (~v100(constB154)) | (~v129(constB154, bitIndex2))) <=> (v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2)) | (~v100(constB154)))),
% 49.54/32.64 inference(rewrite,[status(thm)],[])).
% 49.54/32.64 tff(21075,plain,
% 49.54/32.64 (((~![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))))),
% 49.54/32.64 inference(monotonicity,[status(thm)],[21074])).
% 49.54/32.64 tff(21076,plain,
% 49.54/32.64 (((~![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)))),
% 49.54/32.64 inference(transitivity,[status(thm)],[21075, 21073])).
% 49.54/32.64 tff(21077,plain,
% 49.54/32.64 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB154, bitIndex2) | (~v100(constB154)) | (~v129(constB154, bitIndex2)))),
% 49.54/32.64 inference(quant_inst,[status(thm)],[])).
% 49.54/32.64 tff(21078,plain,
% 49.54/32.64 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB154, bitIndex2) | (~v129(constB154, bitIndex2)) | (~v100(constB154))),
% 49.54/32.64 inference(modus_ponens,[status(thm)],[21077, 21076])).
% 49.54/32.64 tff(21079,plain,
% 49.54/32.64 (v90(constB154, bitIndex2) | (~v100(constB154))),
% 49.54/32.64 inference(unit_resolution,[status(thm)],[21078, 381, 21072])).
% 49.54/32.64 tff(21080,plain,
% 49.54/32.64 (v90(constB154, bitIndex2)),
% 49.54/32.64 inference(unit_resolution,[status(thm)],[21079, 21058])).
% 49.54/32.64 tff(21081,plain,
% 49.54/32.64 ((~v1(constB155)) <=> (~v1(constB155))),
% 49.54/32.64 inference(rewrite,[status(thm)],[])).
% 49.54/32.64 tff(21082,axiom,(~v1(constB155)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_155_1_1')).
% 49.54/32.64 tff(21083,plain,
% 49.54/32.64 (~v1(constB155)),
% 49.54/32.64 inference(modus_ponens,[status(thm)],[21082, 21081])).
% 49.54/32.64 tff(21084,plain,
% 49.54/32.64 (nextState(constB154, constB155) <=> nextState(constB154, constB155)),
% 49.54/32.64 inference(rewrite,[status(thm)],[])).
% 49.54/32.64 tff(21085,axiom,(nextState(constB154, constB155)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_154_1')).
% 49.54/32.64 tff(21086,plain,
% 49.54/32.64 (nextState(constB154, constB155)),
% 49.54/32.64 inference(modus_ponens,[status(thm)],[21085, 21084])).
% 49.54/32.64 tff(21087,plain,
% 49.54/32.64 (((~![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)))),
% 49.54/32.64 inference(rewrite,[status(thm)],[])).
% 49.54/32.64 tff(21088,plain,
% 49.54/32.64 (((~nextState(constB154, constB155)) | (~v101(constB155)) | v1(constB155)) <=> (v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155)))),
% 49.54/32.64 inference(rewrite,[status(thm)],[])).
% 49.54/32.64 tff(21089,plain,
% 49.54/32.64 (((~![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))))),
% 49.54/32.64 inference(monotonicity,[status(thm)],[21088])).
% 49.54/32.64 tff(21090,plain,
% 49.54/32.64 (((~![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)))),
% 49.54/32.64 inference(transitivity,[status(thm)],[21089, 21087])).
% 49.54/32.64 tff(21091,plain,
% 49.54/32.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB154, constB155)) | (~v101(constB155)) | v1(constB155))),
% 49.54/32.64 inference(quant_inst,[status(thm)],[])).
% 49.54/32.64 tff(21092,plain,
% 49.54/32.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155))),
% 49.54/32.64 inference(modus_ponens,[status(thm)],[21091, 21090])).
% 49.54/32.64 tff(21093,plain,
% 49.54/32.64 (~v101(constB155)),
% 49.54/32.64 inference(unit_resolution,[status(thm)],[21092, 49, 21086, 21083])).
% 49.54/32.64 tff(21094,plain,
% 49.54/32.64 (((~![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)))),
% 49.54/32.64 inference(rewrite,[status(thm)],[])).
% 49.54/32.64 tff(21095,plain,
% 49.54/32.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB154, constB155)) | v101(constB155) | (~v100(constB155)))),
% 49.54/32.64 inference(quant_inst,[status(thm)],[])).
% 49.54/32.64 tff(21096,plain,
% 49.54/32.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB154, constB155)) | v101(constB155) | (~v100(constB155))),
% 49.54/32.64 inference(modus_ponens,[status(thm)],[21095, 21094])).
% 49.54/32.64 tff(21097,plain,
% 49.54/32.64 (v101(constB155) | (~v100(constB155))),
% 49.54/32.64 inference(unit_resolution,[status(thm)],[21096, 66, 21086])).
% 49.54/32.64 tff(21098,plain,
% 49.54/32.64 (~v100(constB155)),
% 49.54/32.64 inference(unit_resolution,[status(thm)],[21097, 21093])).
% 49.54/32.64 tff(21099,plain,
% 49.54/32.64 (((~![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))),
% 49.54/32.64 inference(rewrite,[status(thm)],[])).
% 49.54/32.64 tff(21100,plain,
% 49.54/32.64 (((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex2)) | v100(constB155) | v90(constB155, bitIndex2)) <=> ((~v90(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex2))),
% 49.54/32.64 inference(rewrite,[status(thm)],[])).
% 49.54/32.64 tff(21101,plain,
% 49.54/32.64 (((~![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)))),
% 49.54/32.64 inference(monotonicity,[status(thm)],[21100])).
% 49.54/32.64 tff(21102,plain,
% 49.54/32.64 (((~![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))),
% 49.54/32.64 inference(transitivity,[status(thm)],[21101, 21099])).
% 49.54/32.64 tff(21103,plain,
% 49.54/32.64 ((~![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))),
% 49.54/32.65 inference(quant_inst,[status(thm)],[])).
% 49.54/32.65 tff(21104,plain,
% 49.54/32.65 ((~![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)),
% 49.54/32.65 inference(modus_ponens,[status(thm)],[21103, 21102])).
% 49.54/32.65 tff(21105,plain,
% 49.54/32.65 ((~v90(constB154, bitIndex2)) | v100(constB155) | v90(constB155, bitIndex2)),
% 49.54/32.65 inference(unit_resolution,[status(thm)],[21104, 417, 21086])).
% 49.54/32.65 tff(21106,plain,
% 49.54/32.65 ((~v90(constB154, bitIndex2)) | v90(constB155, bitIndex2)),
% 49.54/32.65 inference(unit_resolution,[status(thm)],[21105, 21098])).
% 49.54/32.65 tff(21107,plain,
% 49.54/32.65 (v90(constB155, bitIndex2)),
% 49.54/32.65 inference(unit_resolution,[status(thm)],[21106, 21080])).
% 49.54/32.65 tff(21108,plain,
% 49.54/32.65 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB153)) | v130(constB153, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB153)) | v130(constB153, bitIndex1))),
% 49.54/32.65 inference(rewrite,[status(thm)],[])).
% 49.54/32.65 tff(21109,plain,
% 49.54/32.65 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB153)) | v130(constB153, bitIndex1))),
% 49.54/32.65 inference(quant_inst,[status(thm)],[])).
% 49.54/32.65 tff(21110,plain,
% 49.54/32.65 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB153)) | v130(constB153, bitIndex1)),
% 49.54/32.65 inference(modus_ponens,[status(thm)],[21109, 21108])).
% 49.54/32.65 tff(21111,plain,
% 49.54/32.65 (v130(constB153, bitIndex1)),
% 49.54/32.65 inference(unit_resolution,[status(thm)],[21110, 667, 20993])).
% 49.54/32.65 tff(21112,plain,
% 49.54/32.65 (((~![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))) | v26(constB153) | (~v130(constB153, bitIndex1)) | v127(constB153, bitIndex1))),
% 49.54/32.65 inference(rewrite,[status(thm)],[])).
% 49.54/32.65 tff(21113,plain,
% 49.54/32.65 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB153) | (~v130(constB153, bitIndex1)) | v127(constB153, bitIndex1))),
% 49.54/32.65 inference(quant_inst,[status(thm)],[])).
% 49.54/32.65 tff(21114,plain,
% 49.54/32.65 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB153) | (~v130(constB153, bitIndex1)) | v127(constB153, bitIndex1)),
% 49.54/32.65 inference(modus_ponens,[status(thm)],[21113, 21112])).
% 49.54/32.65 tff(21115,plain,
% 49.54/32.65 ((~v130(constB153, bitIndex1)) | v127(constB153, bitIndex1)),
% 49.54/32.65 inference(unit_resolution,[status(thm)],[21114, 681, 21009])).
% 49.54/32.65 tff(21116,plain,
% 49.54/32.65 (v127(constB153, bitIndex1)),
% 49.54/32.65 inference(unit_resolution,[status(thm)],[21115, 21111])).
% 49.54/32.65 tff(21117,plain,
% 49.54/32.65 (((~![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))),
% 49.54/32.65 inference(rewrite,[status(thm)],[])).
% 49.54/32.65 tff(21118,plain,
% 49.54/32.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB153, constB154)) | (~v127(constB153, bitIndex1)) | v129(constB154, bitIndex1))),
% 49.54/32.65 inference(quant_inst,[status(thm)],[])).
% 49.54/32.65 tff(21119,plain,
% 49.54/32.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB153, constB154)) | (~v127(constB153, bitIndex1)) | v129(constB154, bitIndex1)),
% 49.54/32.65 inference(modus_ponens,[status(thm)],[21118, 21117])).
% 49.54/32.65 tff(21120,plain,
% 49.54/32.65 ((~v127(constB153, bitIndex1)) | v129(constB154, bitIndex1)),
% 49.54/32.65 inference(unit_resolution,[status(thm)],[21119, 696, 21024])).
% 49.54/32.65 tff(21121,plain,
% 49.54/32.65 (v129(constB154, bitIndex1)),
% 49.54/32.65 inference(unit_resolution,[status(thm)],[21120, 21116])).
% 49.54/32.65 tff(21122,plain,
% 49.54/32.65 (((~![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)))),
% 49.54/32.65 inference(rewrite,[status(thm)],[])).
% 49.54/32.65 tff(21123,plain,
% 49.54/32.65 ((v90(constB154, bitIndex1) | (~v100(constB154)) | (~v129(constB154, bitIndex1))) <=> (v90(constB154, bitIndex1) | (~v129(constB154, bitIndex1)) | (~v100(constB154)))),
% 49.54/32.65 inference(rewrite,[status(thm)],[])).
% 49.54/32.65 tff(21124,plain,
% 49.54/32.65 (((~![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))))),
% 49.54/32.65 inference(monotonicity,[status(thm)],[21123])).
% 49.54/32.65 tff(21125,plain,
% 49.54/32.65 (((~![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)))),
% 49.54/32.65 inference(transitivity,[status(thm)],[21124, 21122])).
% 49.54/32.65 tff(21126,plain,
% 49.54/32.65 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB154, bitIndex1) | (~v100(constB154)) | (~v129(constB154, bitIndex1)))),
% 49.54/32.65 inference(quant_inst,[status(thm)],[])).
% 49.54/32.65 tff(21127,plain,
% 49.54/32.65 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB154, bitIndex1) | (~v129(constB154, bitIndex1)) | (~v100(constB154))),
% 49.54/32.65 inference(modus_ponens,[status(thm)],[21126, 21125])).
% 49.54/32.65 tff(21128,plain,
% 49.54/32.65 (v90(constB154, bitIndex1) | (~v100(constB154))),
% 49.54/32.65 inference(unit_resolution,[status(thm)],[21127, 711, 21121])).
% 49.54/32.65 tff(21129,plain,
% 49.54/32.65 (v90(constB154, bitIndex1)),
% 49.54/32.65 inference(unit_resolution,[status(thm)],[21128, 21058])).
% 49.54/32.65 tff(21130,plain,
% 49.54/32.65 (((~![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))),
% 49.54/32.65 inference(rewrite,[status(thm)],[])).
% 49.54/32.65 tff(21131,plain,
% 49.54/32.65 (((~nextState(constB154, constB155)) | (~v90(constB154, bitIndex1)) | v100(constB155) | v90(constB155, bitIndex1)) <=> ((~v90(constB154, bitIndex1)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, bitIndex1))),
% 49.54/32.65 inference(rewrite,[status(thm)],[])).
% 49.54/32.65 tff(21132,plain,
% 49.54/32.65 (((~![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)))),
% 49.54/32.65 inference(monotonicity,[status(thm)],[21131])).
% 49.54/32.65 tff(21133,plain,
% 49.54/32.65 (((~![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))),
% 49.54/32.65 inference(transitivity,[status(thm)],[21132, 21130])).
% 49.54/32.65 tff(21134,plain,
% 49.54/32.65 ((~![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))),
% 49.54/32.65 inference(quant_inst,[status(thm)],[])).
% 49.54/32.65 tff(21135,plain,
% 49.54/32.65 ((~![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)),
% 49.54/32.65 inference(modus_ponens,[status(thm)],[21134, 21133])).
% 49.54/32.65 tff(21136,plain,
% 49.54/32.65 ((~v90(constB154, bitIndex1)) | v100(constB155) | v90(constB155, bitIndex1)),
% 49.54/32.65 inference(unit_resolution,[status(thm)],[21135, 747, 21086])).
% 49.54/32.65 tff(21137,plain,
% 49.54/32.65 ((~v90(constB154, bitIndex1)) | v90(constB155, bitIndex1)),
% 49.54/32.65 inference(unit_resolution,[status(thm)],[21136, 21098])).
% 49.54/32.65 tff(21138,plain,
% 49.54/32.65 (v90(constB155, bitIndex1)),
% 49.54/32.65 inference(unit_resolution,[status(thm)],[21137, 21129])).
% 49.54/32.65 tff(21139,plain,
% 49.54/32.65 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB153)) | (~v130(constB153, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB153)) | (~v130(constB153, bitIndex0)))),
% 49.54/32.65 inference(rewrite,[status(thm)],[])).
% 49.54/32.65 tff(21140,plain,
% 49.54/32.65 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB153)) | (~v130(constB153, bitIndex0)))),
% 49.54/32.65 inference(quant_inst,[status(thm)],[])).
% 49.54/32.65 tff(21141,plain,
% 49.54/32.65 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB153)) | (~v130(constB153, bitIndex0))),
% 49.54/32.65 inference(modus_ponens,[status(thm)],[21140, 21139])).
% 49.54/32.65 tff(21142,plain,
% 49.54/32.65 (~v130(constB153, bitIndex0)),
% 49.54/32.65 inference(unit_resolution,[status(thm)],[21141, 975, 20993])).
% 49.54/32.65 tff(21143,plain,
% 49.54/32.65 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB153, bitIndex0)) | v26(constB153) | v130(constB153, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB153, bitIndex0)) | v26(constB153) | v130(constB153, bitIndex0))),
% 49.54/32.65 inference(rewrite,[status(thm)],[])).
% 49.54/32.65 tff(21144,plain,
% 49.54/32.65 ((v26(constB153) | v130(constB153, bitIndex0) | (~v127(constB153, bitIndex0))) <=> ((~v127(constB153, bitIndex0)) | v26(constB153) | v130(constB153, bitIndex0))),
% 49.54/32.65 inference(rewrite,[status(thm)],[])).
% 49.54/32.65 tff(21145,plain,
% 49.54/32.65 (((~![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)))) | ((~v127(constB153, bitIndex0)) | v26(constB153) | v130(constB153, bitIndex0)))),
% 49.54/32.65 inference(monotonicity,[status(thm)],[21144])).
% 49.54/32.65 tff(21146,plain,
% 49.54/32.65 (((~![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)))) | (~v127(constB153, bitIndex0)) | v26(constB153) | v130(constB153, bitIndex0))),
% 49.54/32.65 inference(transitivity,[status(thm)],[21145, 21143])).
% 49.54/32.65 tff(21147,plain,
% 49.54/32.65 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB153) | v130(constB153, bitIndex0) | (~v127(constB153, bitIndex0)))),
% 49.54/32.65 inference(quant_inst,[status(thm)],[])).
% 49.54/32.65 tff(21148,plain,
% 49.54/32.65 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB153, bitIndex0)) | v26(constB153) | v130(constB153, bitIndex0)),
% 49.54/32.65 inference(modus_ponens,[status(thm)],[21147, 21146])).
% 49.54/32.65 tff(21149,plain,
% 49.54/32.65 ((~v127(constB153, bitIndex0)) | v130(constB153, bitIndex0)),
% 49.54/32.65 inference(unit_resolution,[status(thm)],[21148, 524, 21009])).
% 49.54/32.65 tff(21150,plain,
% 49.54/32.65 (~v127(constB153, bitIndex0)),
% 49.54/32.65 inference(unit_resolution,[status(thm)],[21149, 21142])).
% 49.54/32.65 tff(21151,plain,
% 49.54/32.65 (((~![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)))),
% 49.54/32.65 inference(rewrite,[status(thm)],[])).
% 49.54/32.65 tff(21152,plain,
% 49.54/32.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB153, constB154)) | v127(constB153, bitIndex0) | (~v129(constB154, bitIndex0)))),
% 49.54/32.65 inference(quant_inst,[status(thm)],[])).
% 49.54/32.65 tff(21153,plain,
% 49.54/32.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB153, constB154)) | v127(constB153, bitIndex0) | (~v129(constB154, bitIndex0))),
% 49.54/32.65 inference(modus_ponens,[status(thm)],[21152, 21151])).
% 49.54/32.65 tff(21154,plain,
% 49.54/32.65 (v127(constB153, bitIndex0) | (~v129(constB154, bitIndex0))),
% 49.54/32.65 inference(unit_resolution,[status(thm)],[21153, 542, 21024])).
% 49.54/32.65 tff(21155,plain,
% 49.54/32.65 (~v129(constB154, bitIndex0)),
% 49.54/32.65 inference(unit_resolution,[status(thm)],[21154, 21150])).
% 49.54/32.65 tff(21156,plain,
% 49.54/32.65 (((~![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)))),
% 49.54/32.65 inference(rewrite,[status(thm)],[])).
% 49.54/32.65 tff(21157,plain,
% 49.54/32.65 (((~v90(constB154, bitIndex0)) | (~v100(constB154)) | v129(constB154, bitIndex0)) <=> ((~v90(constB154, bitIndex0)) | v129(constB154, bitIndex0) | (~v100(constB154)))),
% 49.54/32.65 inference(rewrite,[status(thm)],[])).
% 49.54/32.65 tff(21158,plain,
% 49.54/32.65 (((~![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))))),
% 49.54/32.65 inference(monotonicity,[status(thm)],[21157])).
% 49.54/32.65 tff(21159,plain,
% 49.54/32.65 (((~![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)))),
% 49.54/32.65 inference(transitivity,[status(thm)],[21158, 21156])).
% 49.54/32.65 tff(21160,plain,
% 49.54/32.65 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB154, bitIndex0)) | (~v100(constB154)) | v129(constB154, bitIndex0))),
% 49.54/32.65 inference(quant_inst,[status(thm)],[])).
% 49.54/32.65 tff(21161,plain,
% 49.54/32.65 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB154, bitIndex0)) | v129(constB154, bitIndex0) | (~v100(constB154))),
% 49.54/32.65 inference(modus_ponens,[status(thm)],[21160, 21159])).
% 49.54/32.65 tff(21162,plain,
% 49.54/32.65 ((~v90(constB154, bitIndex0)) | (~v100(constB154))),
% 49.54/32.65 inference(unit_resolution,[status(thm)],[21161, 557, 21155])).
% 49.54/32.65 tff(21163,plain,
% 49.54/32.65 (~v90(constB154, bitIndex0)),
% 49.54/32.65 inference(unit_resolution,[status(thm)],[21162, 21058])).
% 49.54/32.65 tff(21164,plain,
% 49.54/32.65 (((~![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)))),
% 49.54/32.65 inference(rewrite,[status(thm)],[])).
% 49.54/32.65 tff(21165,plain,
% 49.54/32.65 (((~nextState(constB154, constB155)) | v90(constB154, bitIndex0) | v100(constB155) | (~v90(constB155, bitIndex0))) <=> (v90(constB154, bitIndex0) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, bitIndex0)))),
% 49.54/32.65 inference(rewrite,[status(thm)],[])).
% 49.54/32.65 tff(21166,plain,
% 49.54/32.65 (((~![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))))),
% 49.54/32.65 inference(monotonicity,[status(thm)],[21165])).
% 49.54/32.65 tff(21167,plain,
% 49.54/32.65 (((~![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)))),
% 49.54/32.65 inference(transitivity,[status(thm)],[21166, 21164])).
% 49.54/32.65 tff(21168,plain,
% 49.54/32.65 ((~![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)))),
% 49.54/32.65 inference(quant_inst,[status(thm)],[])).
% 49.54/32.65 tff(21169,plain,
% 49.54/32.65 ((~![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))),
% 49.54/32.65 inference(modus_ponens,[status(thm)],[21168, 21167])).
% 49.54/32.65 tff(21170,plain,
% 49.54/32.65 (v90(constB154, bitIndex0) | v100(constB155) | (~v90(constB155, bitIndex0))),
% 49.54/32.65 inference(unit_resolution,[status(thm)],[21169, 123, 21086])).
% 49.54/32.65 tff(21171,plain,
% 49.54/32.65 (v90(constB154, bitIndex0) | (~v90(constB155, bitIndex0))),
% 49.54/32.65 inference(unit_resolution,[status(thm)],[21170, 21098])).
% 49.54/32.65 tff(21172,plain,
% 49.54/32.65 (~v90(constB155, bitIndex0)),
% 49.54/32.65 inference(unit_resolution,[status(thm)],[21171, 21163])).
% 49.54/32.65 tff(21173,plain,
% 49.54/32.65 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB155, bitIndex0) | (~v90(constB155, bitIndex1)) | (~v90(constB155, bitIndex2)) | v125(constB155))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB155, bitIndex0) | (~v90(constB155, bitIndex1)) | (~v90(constB155, bitIndex2)) | v125(constB155))),
% 49.54/32.65 inference(rewrite,[status(thm)],[])).
% 49.54/32.65 tff(21174,plain,
% 49.54/32.65 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB155, bitIndex0) | (~v90(constB155, bitIndex1)) | (~v90(constB155, bitIndex2)) | v125(constB155))),
% 49.54/32.65 inference(quant_inst,[status(thm)],[])).
% 49.54/32.65 tff(21175,plain,
% 49.54/32.65 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB155, bitIndex0) | (~v90(constB155, bitIndex1)) | (~v90(constB155, bitIndex2)) | v125(constB155)),
% 49.54/32.65 inference(modus_ponens,[status(thm)],[21174, 21173])).
% 49.54/32.65 tff(21176,plain,
% 49.54/32.65 (v125(constB155)),
% 49.54/32.65 inference(unit_resolution,[status(thm)],[21175, 1019, 21172, 21138, 21107])).
% 49.54/32.65 tff(21177,plain,
% 49.54/32.65 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB155) | (~v125(constB155)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB155) | (~v125(constB155)))),
% 49.54/32.65 inference(rewrite,[status(thm)],[])).
% 49.54/32.65 tff(21178,plain,
% 49.54/32.65 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB155) | (~v125(constB155)))),
% 49.54/32.65 inference(quant_inst,[status(thm)],[])).
% 49.54/32.65 tff(21179,plain,
% 49.54/32.65 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB155) | (~v125(constB155))),
% 49.54/32.65 inference(modus_ponens,[status(thm)],[21178, 21177])).
% 49.54/32.65 tff(21180,plain,
% 49.54/32.65 (v113(constB155)),
% 49.54/32.65 inference(unit_resolution,[status(thm)],[21179, 1031, 21176])).
% 49.54/32.65 tff(21181,assumption,(v26(constB155)), introduced(assumption)).
% 49.54/32.65 tff(21182,plain,
% 49.54/32.65 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB155))),
% 49.54/32.65 inference(quant_inst,[status(thm)],[])).
% 49.54/32.65 tff(21183,plain,
% 49.54/32.65 ($false),
% 49.54/32.65 inference(unit_resolution,[status(thm)],[21182, 16, 21181])).
% 49.54/32.65 tff(21184,plain,(~v26(constB155)), inference(lemma,lemma(discharge,[]))).
% 49.54/32.65 tff(21185,plain,
% 49.54/32.65 (((~![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))),
% 49.54/32.65 inference(rewrite,[status(thm)],[])).
% 49.54/32.65 tff(21186,plain,
% 49.54/32.65 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB155) | (~v113(constB155)) | v112(constB155))),
% 49.54/32.65 inference(quant_inst,[status(thm)],[])).
% 49.54/32.65 tff(21187,plain,
% 49.54/32.65 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB155) | (~v113(constB155)) | v112(constB155)),
% 49.54/32.65 inference(modus_ponens,[status(thm)],[21186, 21185])).
% 49.54/32.65 tff(21188,plain,
% 49.54/32.65 ((~v113(constB155)) | v112(constB155)),
% 49.54/32.65 inference(unit_resolution,[status(thm)],[21187, 224, 21184])).
% 49.54/32.65 tff(21189,plain,
% 49.54/32.65 (v112(constB155)),
% 49.54/32.65 inference(unit_resolution,[status(thm)],[21188, 21180])).
% 49.54/32.65 tff(21190,plain,
% 49.54/32.65 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB155) | (~v112(constB155)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB155) | (~v112(constB155)))),
% 49.54/32.65 inference(rewrite,[status(thm)],[])).
% 49.54/32.65 tff(21191,plain,
% 49.54/32.65 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB155) | (~v112(constB155)))),
% 49.54/32.65 inference(quant_inst,[status(thm)],[])).
% 49.54/32.65 tff(21192,plain,
% 49.54/32.65 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB155) | (~v112(constB155))),
% 49.54/32.65 inference(modus_ponens,[status(thm)],[21191, 21190])).
% 49.54/32.65 tff(21193,plain,
% 49.54/32.65 (v108(constB155)),
% 49.54/32.65 inference(unit_resolution,[status(thm)],[21192, 236, 21189])).
% 49.54/32.65 tff(21194,plain,
% 49.54/32.65 (nextState(constB155, constB156) <=> nextState(constB155, constB156)),
% 49.54/32.65 inference(rewrite,[status(thm)],[])).
% 49.54/32.65 tff(21195,axiom,(nextState(constB155, constB156)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_155_1')).
% 49.54/32.65 tff(21196,plain,
% 49.54/32.65 (nextState(constB155, constB156)),
% 49.54/32.65 inference(modus_ponens,[status(thm)],[21195, 21194])).
% 49.54/32.65 tff(21197,plain,
% 49.54/32.65 (((~![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)))),
% 49.54/32.65 inference(rewrite,[status(thm)],[])).
% 49.54/32.65 tff(21198,plain,
% 49.54/32.65 (((~nextState(constB155, constB156)) | (~v108(constB155)) | v110(constB156)) <=> ((~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155)))),
% 49.54/32.65 inference(rewrite,[status(thm)],[])).
% 49.54/32.65 tff(21199,plain,
% 49.54/32.65 (((~![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))))),
% 49.54/32.65 inference(monotonicity,[status(thm)],[21198])).
% 49.54/32.65 tff(21200,plain,
% 49.54/32.65 (((~![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)))),
% 49.54/32.65 inference(transitivity,[status(thm)],[21199, 21197])).
% 49.54/32.65 tff(21201,plain,
% 49.54/32.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB155, constB156)) | (~v108(constB155)) | v110(constB156))),
% 49.54/32.65 inference(quant_inst,[status(thm)],[])).
% 49.54/32.65 tff(21202,plain,
% 49.54/32.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155))),
% 49.54/32.65 inference(modus_ponens,[status(thm)],[21201, 21200])).
% 49.54/32.65 tff(21203,plain,
% 49.54/32.65 (v110(constB156) | (~v108(constB155))),
% 49.54/32.65 inference(unit_resolution,[status(thm)],[21202, 253, 21196])).
% 49.54/32.65 tff(21204,plain,
% 49.54/32.65 (v110(constB156)),
% 49.54/32.65 inference(unit_resolution,[status(thm)],[21203, 21193])).
% 49.54/32.65 tff(21205,plain,
% 49.54/32.65 (((~![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)))),
% 49.54/32.65 inference(rewrite,[status(thm)],[])).
% 49.54/32.65 tff(21206,plain,
% 49.54/32.65 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB155) | (~nextState(constB155, constB156)) | (~v104(constB156)))),
% 49.54/32.65 inference(quant_inst,[status(thm)],[])).
% 49.54/32.65 tff(21207,plain,
% 49.54/32.65 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB155) | (~nextState(constB155, constB156)) | (~v104(constB156))),
% 49.54/32.65 inference(modus_ponens,[status(thm)],[21206, 21205])).
% 49.54/32.65 tff(21208,plain,
% 49.54/32.65 (~v104(constB156)),
% 49.54/32.65 inference(unit_resolution,[status(thm)],[21207, 271, 21196, 21083])).
% 49.54/32.65 tff(21209,plain,
% 49.54/32.65 (((~![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))),
% 49.54/32.65 inference(rewrite,[status(thm)],[])).
% 49.54/32.65 tff(21210,plain,
% 49.54/32.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB155, constB156)) | v102(constB156) | v104(constB156))),
% 49.54/32.65 inference(quant_inst,[status(thm)],[])).
% 49.54/32.65 tff(21211,plain,
% 49.54/32.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB155, constB156)) | v102(constB156) | v104(constB156)),
% 49.54/32.65 inference(modus_ponens,[status(thm)],[21210, 21209])).
% 49.54/32.65 tff(21212,plain,
% 49.54/32.65 (v102(constB156) | v104(constB156)),
% 49.54/32.65 inference(unit_resolution,[status(thm)],[21211, 285, 21196])).
% 49.54/32.65 tff(21213,plain,
% 49.54/32.65 (v102(constB156)),
% 49.54/32.65 inference(unit_resolution,[status(thm)],[21212, 21208])).
% 49.54/32.65 tff(21214,plain,
% 49.54/32.65 (v1(constB156) <=> v1(constB156)),
% 49.54/32.65 inference(rewrite,[status(thm)],[])).
% 49.54/32.65 tff(21215,axiom,(v1(constB156)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_156_1')).
% 49.54/32.65 tff(21216,plain,
% 49.54/32.65 (v1(constB156)),
% 49.54/32.65 inference(modus_ponens,[status(thm)],[21215, 21214])).
% 49.54/32.65 tff(21217,plain,
% 49.54/32.65 (((~![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)))),
% 49.54/32.65 inference(rewrite,[status(thm)],[])).
% 49.54/32.65 tff(21218,plain,
% 49.54/32.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB155, constB156)) | v101(constB156) | (~v102(constB156)) | (~v1(constB156)))),
% 49.54/32.65 inference(quant_inst,[status(thm)],[])).
% 49.54/32.65 tff(21219,plain,
% 49.54/32.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB155, constB156)) | v101(constB156) | (~v102(constB156)) | (~v1(constB156))),
% 49.54/32.65 inference(modus_ponens,[status(thm)],[21218, 21217])).
% 49.54/32.65 tff(21220,plain,
% 49.54/32.65 (v101(constB156) | (~v102(constB156))),
% 49.54/32.65 inference(unit_resolution,[status(thm)],[21219, 303, 21196, 21216])).
% 49.54/32.65 tff(21221,plain,
% 49.54/32.65 (v101(constB156)),
% 49.54/32.65 inference(unit_resolution,[status(thm)],[21220, 21213])).
% 49.54/32.65 tff(21222,plain,
% 49.54/32.65 (((~![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)))),
% 49.54/32.65 inference(rewrite,[status(thm)],[])).
% 49.54/32.65 tff(21223,plain,
% 49.54/32.65 (((~nextState(constB155, constB156)) | (~v101(constB156)) | (~v110(constB156)) | v100(constB156)) <=> ((~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156)))),
% 49.54/32.65 inference(rewrite,[status(thm)],[])).
% 49.54/32.65 tff(21224,plain,
% 49.54/32.65 (((~![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))))),
% 49.54/32.65 inference(monotonicity,[status(thm)],[21223])).
% 49.54/32.65 tff(21225,plain,
% 49.54/32.65 (((~![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)))),
% 49.54/32.65 inference(transitivity,[status(thm)],[21224, 21222])).
% 49.54/32.65 tff(21226,plain,
% 49.54/32.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB155, constB156)) | (~v101(constB156)) | (~v110(constB156)) | v100(constB156))),
% 49.54/32.65 inference(quant_inst,[status(thm)],[])).
% 49.54/32.65 tff(21227,plain,
% 49.54/32.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156))),
% 49.54/32.65 inference(modus_ponens,[status(thm)],[21226, 21225])).
% 49.54/32.65 tff(21228,plain,
% 49.54/32.65 (v100(constB156) | (~v101(constB156)) | (~v110(constB156))),
% 49.54/32.65 inference(unit_resolution,[status(thm)],[21227, 318, 21196])).
% 49.54/32.65 tff(21229,plain,
% 49.54/32.65 (v100(constB156) | (~v110(constB156))),
% 49.54/32.65 inference(unit_resolution,[status(thm)],[21228, 21221])).
% 49.54/32.66 tff(21230,plain,
% 49.54/32.66 (v100(constB156)),
% 49.54/32.66 inference(unit_resolution,[status(thm)],[21229, 21204])).
% 49.54/32.66 tff(21231,plain,
% 49.54/32.66 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB155, bitIndex2)) | (~v121(constB155)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB155, bitIndex2)) | (~v121(constB155)))),
% 49.54/32.66 inference(rewrite,[status(thm)],[])).
% 49.54/32.66 tff(21232,plain,
% 49.54/32.66 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB155, bitIndex2)) | (~v121(constB155)))),
% 49.54/32.66 inference(quant_inst,[status(thm)],[])).
% 49.54/32.66 tff(21233,plain,
% 49.54/32.66 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB155, bitIndex2)) | (~v121(constB155))),
% 49.54/32.66 inference(modus_ponens,[status(thm)],[21232, 21231])).
% 49.54/32.66 tff(21234,plain,
% 49.54/32.66 (~v121(constB155)),
% 49.54/32.66 inference(unit_resolution,[status(thm)],[21233, 883, 21107])).
% 49.54/32.66 tff(21235,plain,
% 49.54/32.66 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB155, bitIndex2)) | (~v122(constB155)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB155, bitIndex2)) | (~v122(constB155)))),
% 49.54/32.66 inference(rewrite,[status(thm)],[])).
% 49.54/32.66 tff(21236,plain,
% 49.54/32.66 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB155, bitIndex2)) | (~v122(constB155)))),
% 49.54/32.66 inference(quant_inst,[status(thm)],[])).
% 49.54/32.66 tff(21237,plain,
% 49.54/32.66 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB155, bitIndex2)) | (~v122(constB155))),
% 49.54/32.66 inference(modus_ponens,[status(thm)],[21236, 21235])).
% 49.54/32.66 tff(21238,plain,
% 49.54/32.66 (~v122(constB155)),
% 49.54/32.66 inference(unit_resolution,[status(thm)],[21237, 894, 21107])).
% 49.54/32.66 tff(21239,plain,
% 49.54/32.66 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB155)) | (~v90(constB155, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB155)) | (~v90(constB155, bitIndex1)))),
% 49.54/32.66 inference(rewrite,[status(thm)],[])).
% 49.54/32.66 tff(21240,plain,
% 49.54/32.66 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB155)) | (~v90(constB155, bitIndex1)))),
% 49.54/32.66 inference(quant_inst,[status(thm)],[])).
% 49.54/32.66 tff(21241,plain,
% 49.54/32.66 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB155)) | (~v90(constB155, bitIndex1))),
% 49.54/32.66 inference(modus_ponens,[status(thm)],[21240, 21239])).
% 49.54/32.66 tff(21242,plain,
% 49.54/32.66 (~v119(constB155)),
% 49.54/32.66 inference(unit_resolution,[status(thm)],[21241, 2293, 21138])).
% 49.54/32.66 tff(21243,plain,
% 49.54/32.66 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB155, bitIndex1)) | (~v120(constB155)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB155, bitIndex1)) | (~v120(constB155)))),
% 49.54/32.66 inference(rewrite,[status(thm)],[])).
% 49.54/32.66 tff(21244,plain,
% 49.54/32.66 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB155, bitIndex1)) | (~v120(constB155)))),
% 49.54/32.66 inference(quant_inst,[status(thm)],[])).
% 49.54/32.66 tff(21245,plain,
% 49.54/32.66 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB155, bitIndex1)) | (~v120(constB155))),
% 49.54/32.66 inference(modus_ponens,[status(thm)],[21244, 21243])).
% 49.54/32.66 tff(21246,plain,
% 49.54/32.66 (~v120(constB155)),
% 49.54/32.66 inference(unit_resolution,[status(thm)],[21245, 2312, 21138])).
% 49.54/32.66 tff(21247,plain,
% 49.54/32.66 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB155, bitIndex1)) | (~v124(constB155)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB155, bitIndex1)) | (~v124(constB155)))),
% 49.54/32.66 inference(rewrite,[status(thm)],[])).
% 49.54/32.66 tff(21248,plain,
% 49.54/32.66 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB155, bitIndex1)) | (~v124(constB155)))),
% 49.54/32.66 inference(quant_inst,[status(thm)],[])).
% 49.54/32.66 tff(21249,plain,
% 49.54/32.66 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB155, bitIndex1)) | (~v124(constB155))),
% 49.54/32.66 inference(modus_ponens,[status(thm)],[21248, 21247])).
% 49.54/32.66 tff(21250,plain,
% 49.54/32.66 (~v124(constB155)),
% 49.54/32.66 inference(unit_resolution,[status(thm)],[21249, 763, 21138])).
% 49.54/32.66 tff(21251,plain,
% 49.54/32.66 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB155, bitIndex1)) | (~v123(constB155)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB155, bitIndex1)) | (~v123(constB155)))),
% 49.54/32.66 inference(rewrite,[status(thm)],[])).
% 49.54/32.66 tff(21252,plain,
% 49.54/32.66 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB155, bitIndex1)) | (~v123(constB155)))),
% 49.54/32.66 inference(quant_inst,[status(thm)],[])).
% 49.54/32.66 tff(21253,plain,
% 49.54/32.66 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB155, bitIndex1)) | (~v123(constB155))),
% 49.54/32.66 inference(modus_ponens,[status(thm)],[21252, 21251])).
% 49.54/32.66 tff(21254,plain,
% 49.54/32.66 (~v123(constB155)),
% 49.54/32.66 inference(unit_resolution,[status(thm)],[21253, 774, 21138])).
% 49.54/32.66 tff(21255,plain,
% 49.54/32.66 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v123(constB155) | v120(constB155) | v121(constB155) | v119(constB155) | v122(constB155) | v124(constB155) | (~v130(constB155, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v123(constB155) | v120(constB155) | v121(constB155) | v119(constB155) | v122(constB155) | v124(constB155) | (~v130(constB155, bitIndex2)))),
% 49.54/32.66 inference(rewrite,[status(thm)],[])).
% 49.54/32.66 tff(21256,plain,
% 49.54/32.66 ((v120(constB155) | v119(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~v130(constB155, bitIndex2))) <=> (v123(constB155) | v120(constB155) | v121(constB155) | v119(constB155) | v122(constB155) | v124(constB155) | (~v130(constB155, bitIndex2)))),
% 49.54/32.66 inference(rewrite,[status(thm)],[])).
% 49.54/32.66 tff(21257,plain,
% 49.54/32.66 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB155) | v119(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~v130(constB155, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v123(constB155) | v120(constB155) | v121(constB155) | v119(constB155) | v122(constB155) | v124(constB155) | (~v130(constB155, bitIndex2))))),
% 49.54/32.66 inference(monotonicity,[status(thm)],[21256])).
% 49.54/32.66 tff(21258,plain,
% 49.54/32.66 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB155) | v119(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~v130(constB155, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v123(constB155) | v120(constB155) | v121(constB155) | v119(constB155) | v122(constB155) | v124(constB155) | (~v130(constB155, bitIndex2)))),
% 49.54/32.66 inference(transitivity,[status(thm)],[21257, 21255])).
% 49.54/32.66 tff(21259,plain,
% 49.54/32.66 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB155) | v119(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~v130(constB155, bitIndex2)))),
% 49.54/32.66 inference(quant_inst,[status(thm)],[])).
% 49.54/32.66 tff(21260,plain,
% 49.54/32.66 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v123(constB155) | v120(constB155) | v121(constB155) | v119(constB155) | v122(constB155) | v124(constB155) | (~v130(constB155, bitIndex2))),
% 49.54/32.66 inference(modus_ponens,[status(thm)],[21259, 21258])).
% 49.54/32.66 tff(21261,plain,
% 49.54/32.66 (~v130(constB155, bitIndex2)),
% 49.54/32.66 inference(unit_resolution,[status(thm)],[21260, 1192, 21254, 21250, 21246, 21242, 21238, 21234])).
% 49.54/32.66 tff(21262,plain,
% 49.54/32.66 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB155, bitIndex2)) | v26(constB155) | v130(constB155, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB155, bitIndex2)) | v26(constB155) | v130(constB155, bitIndex2))),
% 49.54/32.66 inference(rewrite,[status(thm)],[])).
% 49.54/32.66 tff(21263,plain,
% 49.54/32.66 ((v26(constB155) | v130(constB155, bitIndex2) | (~v127(constB155, bitIndex2))) <=> ((~v127(constB155, bitIndex2)) | v26(constB155) | v130(constB155, bitIndex2))),
% 49.54/32.66 inference(rewrite,[status(thm)],[])).
% 49.54/32.66 tff(21264,plain,
% 49.54/32.66 (((~![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)))) | ((~v127(constB155, bitIndex2)) | v26(constB155) | v130(constB155, bitIndex2)))),
% 49.54/32.66 inference(monotonicity,[status(thm)],[21263])).
% 49.54/32.66 tff(21265,plain,
% 49.54/32.66 (((~![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)))) | (~v127(constB155, bitIndex2)) | v26(constB155) | v130(constB155, bitIndex2))),
% 49.54/32.66 inference(transitivity,[status(thm)],[21264, 21262])).
% 49.54/32.66 tff(21266,plain,
% 49.54/32.66 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB155) | v130(constB155, bitIndex2) | (~v127(constB155, bitIndex2)))),
% 49.54/32.66 inference(quant_inst,[status(thm)],[])).
% 49.54/32.66 tff(21267,plain,
% 49.54/32.66 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB155, bitIndex2)) | v26(constB155) | v130(constB155, bitIndex2)),
% 49.54/32.66 inference(modus_ponens,[status(thm)],[21266, 21265])).
% 49.54/32.66 tff(21268,plain,
% 49.54/32.66 ((~v127(constB155, bitIndex2)) | v130(constB155, bitIndex2)),
% 49.54/32.66 inference(unit_resolution,[status(thm)],[21267, 1210, 21184])).
% 49.54/32.66 tff(21269,plain,
% 49.54/32.66 (~v127(constB155, bitIndex2)),
% 49.54/32.66 inference(unit_resolution,[status(thm)],[21268, 21261])).
% 49.54/32.66 tff(21270,plain,
% 49.54/32.66 (((~![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)))),
% 49.54/32.66 inference(rewrite,[status(thm)],[])).
% 49.54/32.66 tff(21271,plain,
% 49.54/32.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB155, constB156)) | v127(constB155, bitIndex2) | (~v129(constB156, bitIndex2)))),
% 49.54/32.66 inference(quant_inst,[status(thm)],[])).
% 49.54/32.66 tff(21272,plain,
% 49.54/32.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB155, constB156)) | v127(constB155, bitIndex2) | (~v129(constB156, bitIndex2))),
% 49.54/32.66 inference(modus_ponens,[status(thm)],[21271, 21270])).
% 49.54/32.66 tff(21273,plain,
% 49.54/32.66 (v127(constB155, bitIndex2) | (~v129(constB156, bitIndex2))),
% 49.54/32.66 inference(unit_resolution,[status(thm)],[21272, 1243, 21196])).
% 49.54/32.66 tff(21274,plain,
% 49.54/32.66 (~v129(constB156, bitIndex2)),
% 49.54/32.66 inference(unit_resolution,[status(thm)],[21273, 21269])).
% 49.54/32.66 tff(21275,plain,
% 49.54/32.66 (((~![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)))),
% 49.54/32.66 inference(rewrite,[status(thm)],[])).
% 49.54/32.66 tff(21276,plain,
% 49.54/32.66 (((~v90(constB156, bitIndex2)) | (~v100(constB156)) | v129(constB156, bitIndex2)) <=> ((~v90(constB156, bitIndex2)) | v129(constB156, bitIndex2) | (~v100(constB156)))),
% 49.54/32.66 inference(rewrite,[status(thm)],[])).
% 49.54/32.66 tff(21277,plain,
% 49.54/32.66 (((~![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))))),
% 49.54/32.66 inference(monotonicity,[status(thm)],[21276])).
% 49.54/32.66 tff(21278,plain,
% 49.54/32.66 (((~![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)))),
% 49.54/32.66 inference(transitivity,[status(thm)],[21277, 21275])).
% 49.54/32.66 tff(21279,plain,
% 49.54/32.66 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB156, bitIndex2)) | (~v100(constB156)) | v129(constB156, bitIndex2))),
% 49.54/32.66 inference(quant_inst,[status(thm)],[])).
% 49.54/32.66 tff(21280,plain,
% 49.54/32.66 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB156, bitIndex2)) | v129(constB156, bitIndex2) | (~v100(constB156))),
% 49.54/32.66 inference(modus_ponens,[status(thm)],[21279, 21278])).
% 49.54/32.66 tff(21281,plain,
% 49.54/32.66 ((~v90(constB156, bitIndex2)) | (~v100(constB156))),
% 49.54/32.66 inference(unit_resolution,[status(thm)],[21280, 1258, 21274])).
% 49.54/32.66 tff(21282,plain,
% 49.54/32.66 (~v90(constB156, bitIndex2)),
% 49.54/32.66 inference(unit_resolution,[status(thm)],[21281, 21230])).
% 49.54/32.66 tff(21283,plain,
% 49.54/32.66 ((~v1(constB157)) <=> (~v1(constB157))),
% 49.54/32.66 inference(rewrite,[status(thm)],[])).
% 49.54/32.66 tff(21284,axiom,(~v1(constB157)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_157_1_1')).
% 49.54/32.66 tff(21285,plain,
% 49.54/32.66 (~v1(constB157)),
% 49.54/32.66 inference(modus_ponens,[status(thm)],[21284, 21283])).
% 49.54/32.66 tff(21286,plain,
% 49.54/32.66 (nextState(constB156, constB157) <=> nextState(constB156, constB157)),
% 49.54/32.66 inference(rewrite,[status(thm)],[])).
% 49.54/32.66 tff(21287,axiom,(nextState(constB156, constB157)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_156_1')).
% 49.54/32.66 tff(21288,plain,
% 49.54/32.66 (nextState(constB156, constB157)),
% 49.54/32.66 inference(modus_ponens,[status(thm)],[21287, 21286])).
% 49.54/32.66 tff(21289,plain,
% 49.54/32.66 (((~![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)))),
% 49.54/32.66 inference(rewrite,[status(thm)],[])).
% 49.54/32.66 tff(21290,plain,
% 49.54/32.66 (((~nextState(constB156, constB157)) | (~v101(constB157)) | v1(constB157)) <=> (v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157)))),
% 49.54/32.66 inference(rewrite,[status(thm)],[])).
% 49.54/32.66 tff(21291,plain,
% 49.54/32.66 (((~![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))))),
% 49.54/32.66 inference(monotonicity,[status(thm)],[21290])).
% 49.54/32.66 tff(21292,plain,
% 49.54/32.66 (((~![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)))),
% 49.54/32.66 inference(transitivity,[status(thm)],[21291, 21289])).
% 49.54/32.66 tff(21293,plain,
% 49.54/32.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB156, constB157)) | (~v101(constB157)) | v1(constB157))),
% 49.54/32.66 inference(quant_inst,[status(thm)],[])).
% 49.54/32.66 tff(21294,plain,
% 49.54/32.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157))),
% 49.54/32.66 inference(modus_ponens,[status(thm)],[21293, 21292])).
% 49.54/32.66 tff(21295,plain,
% 49.54/32.66 (~v101(constB157)),
% 49.54/32.66 inference(unit_resolution,[status(thm)],[21294, 49, 21288, 21285])).
% 49.54/32.66 tff(21296,plain,
% 49.54/32.66 (((~![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)))),
% 49.54/32.66 inference(rewrite,[status(thm)],[])).
% 49.54/32.66 tff(21297,plain,
% 49.54/32.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB156, constB157)) | v101(constB157) | (~v100(constB157)))),
% 49.54/32.66 inference(quant_inst,[status(thm)],[])).
% 49.54/32.66 tff(21298,plain,
% 49.54/32.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB156, constB157)) | v101(constB157) | (~v100(constB157))),
% 49.54/32.66 inference(modus_ponens,[status(thm)],[21297, 21296])).
% 49.54/32.66 tff(21299,plain,
% 49.54/32.66 (v101(constB157) | (~v100(constB157))),
% 49.54/32.66 inference(unit_resolution,[status(thm)],[21298, 66, 21288])).
% 49.54/32.66 tff(21300,plain,
% 49.54/32.66 (~v100(constB157)),
% 49.54/32.66 inference(unit_resolution,[status(thm)],[21299, 21295])).
% 49.54/32.66 tff(21301,plain,
% 49.54/32.66 (((~![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)))),
% 49.54/32.66 inference(rewrite,[status(thm)],[])).
% 49.54/32.66 tff(21302,plain,
% 49.54/32.66 (((~nextState(constB156, constB157)) | v90(constB156, bitIndex2) | v100(constB157) | (~v90(constB157, bitIndex2))) <=> (v90(constB156, bitIndex2) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex2)))),
% 49.54/32.66 inference(rewrite,[status(thm)],[])).
% 49.54/32.66 tff(21303,plain,
% 49.54/32.66 (((~![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))))),
% 49.54/32.66 inference(monotonicity,[status(thm)],[21302])).
% 49.54/32.66 tff(21304,plain,
% 49.54/32.66 (((~![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)))),
% 49.54/32.66 inference(transitivity,[status(thm)],[21303, 21301])).
% 49.54/32.66 tff(21305,plain,
% 49.54/32.66 ((~![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)))),
% 49.54/32.66 inference(quant_inst,[status(thm)],[])).
% 49.54/32.66 tff(21306,plain,
% 49.54/32.66 ((~![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))),
% 49.54/32.66 inference(modus_ponens,[status(thm)],[21305, 21304])).
% 49.54/32.66 tff(21307,plain,
% 49.54/32.66 (v90(constB156, bitIndex2) | v100(constB157) | (~v90(constB157, bitIndex2))),
% 49.54/32.66 inference(unit_resolution,[status(thm)],[21306, 81, 21288])).
% 49.54/32.66 tff(21308,plain,
% 49.54/32.66 (v90(constB156, bitIndex2) | (~v90(constB157, bitIndex2))),
% 49.54/32.66 inference(unit_resolution,[status(thm)],[21307, 21300])).
% 49.54/32.66 tff(21309,plain,
% 49.54/32.66 (~v90(constB157, bitIndex2)),
% 49.54/32.66 inference(unit_resolution,[status(thm)],[21308, 21282])).
% 49.54/32.66 tff(21310,plain,
% 49.54/32.66 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB155, bitIndex1)) | v123(constB155) | v120(constB155) | v121(constB155) | v119(constB155) | v122(constB155) | v124(constB155))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB155, bitIndex1)) | v123(constB155) | v120(constB155) | v121(constB155) | v119(constB155) | v122(constB155) | v124(constB155))),
% 49.54/32.66 inference(rewrite,[status(thm)],[])).
% 49.54/32.66 tff(21311,plain,
% 49.54/32.66 ((v120(constB155) | v119(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~v130(constB155, bitIndex1))) <=> ((~v130(constB155, bitIndex1)) | v123(constB155) | v120(constB155) | v121(constB155) | v119(constB155) | v122(constB155) | v124(constB155))),
% 49.54/32.66 inference(rewrite,[status(thm)],[])).
% 49.54/32.66 tff(21312,plain,
% 49.54/32.66 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB155) | v119(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~v130(constB155, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB155, bitIndex1)) | v123(constB155) | v120(constB155) | v121(constB155) | v119(constB155) | v122(constB155) | v124(constB155)))),
% 49.54/32.66 inference(monotonicity,[status(thm)],[21311])).
% 49.54/32.66 tff(21313,plain,
% 49.54/32.66 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB155) | v119(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~v130(constB155, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB155, bitIndex1)) | v123(constB155) | v120(constB155) | v121(constB155) | v119(constB155) | v122(constB155) | v124(constB155))),
% 49.54/32.66 inference(transitivity,[status(thm)],[21312, 21310])).
% 49.54/32.66 tff(21314,plain,
% 49.54/32.66 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB155) | v119(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~v130(constB155, bitIndex1)))),
% 49.54/32.66 inference(quant_inst,[status(thm)],[])).
% 49.54/32.66 tff(21315,plain,
% 49.54/32.66 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB155, bitIndex1)) | v123(constB155) | v120(constB155) | v121(constB155) | v119(constB155) | v122(constB155) | v124(constB155)),
% 49.54/32.66 inference(modus_ponens,[status(thm)],[21314, 21313])).
% 49.54/32.66 tff(21316,plain,
% 49.54/32.66 (~v130(constB155, bitIndex1)),
% 49.54/32.66 inference(unit_resolution,[status(thm)],[21315, 1143, 21254, 21250, 21246, 21242, 21238, 21234])).
% 49.54/32.66 tff(21317,plain,
% 49.54/32.66 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB155, bitIndex1)) | v26(constB155) | v130(constB155, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB155, bitIndex1)) | v26(constB155) | v130(constB155, bitIndex1))),
% 49.54/32.66 inference(rewrite,[status(thm)],[])).
% 49.54/32.66 tff(21318,plain,
% 49.54/32.66 ((v26(constB155) | v130(constB155, bitIndex1) | (~v127(constB155, bitIndex1))) <=> ((~v127(constB155, bitIndex1)) | v26(constB155) | v130(constB155, bitIndex1))),
% 49.54/32.66 inference(rewrite,[status(thm)],[])).
% 49.54/32.66 tff(21319,plain,
% 49.54/32.66 (((~![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)))) | ((~v127(constB155, bitIndex1)) | v26(constB155) | v130(constB155, bitIndex1)))),
% 49.54/32.66 inference(monotonicity,[status(thm)],[21318])).
% 49.54/32.66 tff(21320,plain,
% 49.54/32.66 (((~![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)))) | (~v127(constB155, bitIndex1)) | v26(constB155) | v130(constB155, bitIndex1))),
% 49.54/32.66 inference(transitivity,[status(thm)],[21319, 21317])).
% 49.54/32.66 tff(21321,plain,
% 49.54/32.66 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB155) | v130(constB155, bitIndex1) | (~v127(constB155, bitIndex1)))),
% 49.54/32.66 inference(quant_inst,[status(thm)],[])).
% 49.54/32.66 tff(21322,plain,
% 49.54/32.66 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB155, bitIndex1)) | v26(constB155) | v130(constB155, bitIndex1)),
% 49.54/32.66 inference(modus_ponens,[status(thm)],[21321, 21320])).
% 49.54/32.66 tff(21323,plain,
% 49.54/32.66 ((~v127(constB155, bitIndex1)) | v130(constB155, bitIndex1)),
% 49.54/32.66 inference(unit_resolution,[status(thm)],[21322, 450, 21184])).
% 49.54/32.66 tff(21324,plain,
% 49.54/32.66 (~v127(constB155, bitIndex1)),
% 49.54/32.66 inference(unit_resolution,[status(thm)],[21323, 21316])).
% 49.54/32.66 tff(21325,plain,
% 49.54/32.66 (((~![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)))),
% 49.54/32.66 inference(rewrite,[status(thm)],[])).
% 49.54/32.66 tff(21326,plain,
% 49.54/32.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB155, constB156)) | v127(constB155, bitIndex1) | (~v129(constB156, bitIndex1)))),
% 49.54/32.66 inference(quant_inst,[status(thm)],[])).
% 49.54/32.66 tff(21327,plain,
% 49.54/32.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB155, constB156)) | v127(constB155, bitIndex1) | (~v129(constB156, bitIndex1))),
% 49.54/32.66 inference(modus_ponens,[status(thm)],[21326, 21325])).
% 49.54/32.66 tff(21328,plain,
% 49.54/32.66 (v127(constB155, bitIndex1) | (~v129(constB156, bitIndex1))),
% 49.54/32.66 inference(unit_resolution,[status(thm)],[21327, 468, 21196])).
% 49.54/32.66 tff(21329,plain,
% 49.54/32.66 (~v129(constB156, bitIndex1)),
% 49.54/32.66 inference(unit_resolution,[status(thm)],[21328, 21324])).
% 49.54/32.66 tff(21330,plain,
% 49.54/32.66 (((~![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)))),
% 49.54/32.66 inference(rewrite,[status(thm)],[])).
% 49.54/32.66 tff(21331,plain,
% 49.54/32.66 (((~v90(constB156, bitIndex1)) | (~v100(constB156)) | v129(constB156, bitIndex1)) <=> ((~v90(constB156, bitIndex1)) | v129(constB156, bitIndex1) | (~v100(constB156)))),
% 49.54/32.66 inference(rewrite,[status(thm)],[])).
% 49.54/32.66 tff(21332,plain,
% 49.54/32.66 (((~![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))))),
% 49.54/32.66 inference(monotonicity,[status(thm)],[21331])).
% 49.54/32.66 tff(21333,plain,
% 49.54/32.66 (((~![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)))),
% 49.54/32.66 inference(transitivity,[status(thm)],[21332, 21330])).
% 49.54/32.66 tff(21334,plain,
% 49.54/32.66 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB156, bitIndex1)) | (~v100(constB156)) | v129(constB156, bitIndex1))),
% 49.54/32.66 inference(quant_inst,[status(thm)],[])).
% 49.54/32.66 tff(21335,plain,
% 49.54/32.66 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB156, bitIndex1)) | v129(constB156, bitIndex1) | (~v100(constB156))),
% 49.54/32.66 inference(modus_ponens,[status(thm)],[21334, 21333])).
% 49.54/32.66 tff(21336,plain,
% 49.54/32.66 ((~v90(constB156, bitIndex1)) | (~v100(constB156))),
% 49.54/32.66 inference(unit_resolution,[status(thm)],[21335, 483, 21329])).
% 49.54/32.66 tff(21337,plain,
% 49.54/32.66 (~v90(constB156, bitIndex1)),
% 49.54/32.66 inference(unit_resolution,[status(thm)],[21336, 21230])).
% 49.54/32.66 tff(21338,plain,
% 49.54/32.66 (((~![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)))),
% 49.54/32.66 inference(rewrite,[status(thm)],[])).
% 49.54/32.66 tff(21339,plain,
% 49.54/32.66 (((~nextState(constB156, constB157)) | v90(constB156, bitIndex1) | v100(constB157) | (~v90(constB157, bitIndex1))) <=> (v90(constB156, bitIndex1) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, bitIndex1)))),
% 49.54/32.66 inference(rewrite,[status(thm)],[])).
% 49.54/32.66 tff(21340,plain,
% 49.54/32.66 (((~![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))))),
% 49.54/32.66 inference(monotonicity,[status(thm)],[21339])).
% 49.54/32.66 tff(21341,plain,
% 49.54/32.66 (((~![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)))),
% 49.54/32.66 inference(transitivity,[status(thm)],[21340, 21338])).
% 49.54/32.66 tff(21342,plain,
% 49.54/32.66 ((~![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)))),
% 49.54/32.67 inference(quant_inst,[status(thm)],[])).
% 49.54/32.67 tff(21343,plain,
% 49.54/32.67 ((~![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))),
% 49.54/32.67 inference(modus_ponens,[status(thm)],[21342, 21341])).
% 49.54/32.67 tff(21344,plain,
% 49.54/32.67 (v90(constB156, bitIndex1) | v100(constB157) | (~v90(constB157, bitIndex1))),
% 49.54/32.67 inference(unit_resolution,[status(thm)],[21343, 102, 21288])).
% 49.54/32.67 tff(21345,plain,
% 49.54/32.67 (v90(constB156, bitIndex1) | (~v90(constB157, bitIndex1))),
% 49.54/32.67 inference(unit_resolution,[status(thm)],[21344, 21300])).
% 49.54/32.67 tff(21346,plain,
% 49.54/32.67 (~v90(constB157, bitIndex1)),
% 49.54/32.67 inference(unit_resolution,[status(thm)],[21345, 21337])).
% 49.54/32.67 tff(21347,plain,
% 49.54/32.67 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v123(constB155) | v120(constB155) | v121(constB155) | v119(constB155) | v122(constB155) | v124(constB155) | v130(constB155, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v123(constB155) | v120(constB155) | v121(constB155) | v119(constB155) | v122(constB155) | v124(constB155) | v130(constB155, bitIndex0))),
% 49.54/32.67 inference(rewrite,[status(thm)],[])).
% 49.54/32.67 tff(21348,plain,
% 49.54/32.67 ((v120(constB155) | v119(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | v130(constB155, bitIndex0)) <=> (v123(constB155) | v120(constB155) | v121(constB155) | v119(constB155) | v122(constB155) | v124(constB155) | v130(constB155, bitIndex0))),
% 49.54/32.67 inference(rewrite,[status(thm)],[])).
% 49.54/32.67 tff(21349,plain,
% 49.54/32.67 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB155) | v119(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | v130(constB155, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v123(constB155) | v120(constB155) | v121(constB155) | v119(constB155) | v122(constB155) | v124(constB155) | v130(constB155, bitIndex0)))),
% 49.54/32.67 inference(monotonicity,[status(thm)],[21348])).
% 49.54/32.67 tff(21350,plain,
% 49.54/32.67 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB155) | v119(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | v130(constB155, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v123(constB155) | v120(constB155) | v121(constB155) | v119(constB155) | v122(constB155) | v124(constB155) | v130(constB155, bitIndex0))),
% 49.54/32.67 inference(transitivity,[status(thm)],[21349, 21347])).
% 49.54/32.67 tff(21351,plain,
% 49.54/32.67 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB155) | v119(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | v130(constB155, bitIndex0))),
% 49.54/32.67 inference(quant_inst,[status(thm)],[])).
% 49.54/32.67 tff(21352,plain,
% 49.54/32.67 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v123(constB155) | v120(constB155) | v121(constB155) | v119(constB155) | v122(constB155) | v124(constB155) | v130(constB155, bitIndex0)),
% 49.54/32.67 inference(modus_ponens,[status(thm)],[21351, 21350])).
% 49.54/32.67 tff(21353,plain,
% 49.54/32.67 (v130(constB155, bitIndex0)),
% 49.54/32.67 inference(unit_resolution,[status(thm)],[21352, 908, 21254, 21250, 21246, 21242, 21238, 21234])).
% 49.54/32.67 tff(21354,plain,
% 49.54/32.67 (((~![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))) | v26(constB155) | (~v130(constB155, bitIndex0)) | v127(constB155, bitIndex0))),
% 49.54/32.67 inference(rewrite,[status(thm)],[])).
% 49.54/32.67 tff(21355,plain,
% 49.54/32.67 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB155) | (~v130(constB155, bitIndex0)) | v127(constB155, bitIndex0))),
% 49.54/32.67 inference(quant_inst,[status(thm)],[])).
% 49.54/32.67 tff(21356,plain,
% 49.54/32.67 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB155) | (~v130(constB155, bitIndex0)) | v127(constB155, bitIndex0)),
% 49.54/32.67 inference(modus_ponens,[status(thm)],[21355, 21354])).
% 49.54/32.67 tff(21357,plain,
% 49.54/32.67 ((~v130(constB155, bitIndex0)) | v127(constB155, bitIndex0)),
% 49.54/32.67 inference(unit_resolution,[status(thm)],[21356, 926, 21184])).
% 49.54/32.67 tff(21358,plain,
% 49.54/32.67 (v127(constB155, bitIndex0)),
% 49.54/32.67 inference(unit_resolution,[status(thm)],[21357, 21353])).
% 49.54/32.67 tff(21359,plain,
% 49.54/32.67 (((~![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))),
% 49.54/32.67 inference(rewrite,[status(thm)],[])).
% 49.54/32.67 tff(21360,plain,
% 49.54/32.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB155, constB156)) | (~v127(constB155, bitIndex0)) | v129(constB156, bitIndex0))),
% 49.54/32.67 inference(quant_inst,[status(thm)],[])).
% 49.54/32.67 tff(21361,plain,
% 49.54/32.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB155, constB156)) | (~v127(constB155, bitIndex0)) | v129(constB156, bitIndex0)),
% 49.54/32.67 inference(modus_ponens,[status(thm)],[21360, 21359])).
% 49.54/32.67 tff(21362,plain,
% 49.54/32.67 ((~v127(constB155, bitIndex0)) | v129(constB156, bitIndex0)),
% 49.54/32.67 inference(unit_resolution,[status(thm)],[21361, 944, 21196])).
% 49.54/32.67 tff(21363,plain,
% 49.54/32.67 (v129(constB156, bitIndex0)),
% 49.54/32.67 inference(unit_resolution,[status(thm)],[21362, 21358])).
% 49.54/32.67 tff(21364,plain,
% 49.54/32.67 (((~![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)))),
% 49.54/32.67 inference(rewrite,[status(thm)],[])).
% 49.54/32.67 tff(21365,plain,
% 49.54/32.67 ((v90(constB156, bitIndex0) | (~v100(constB156)) | (~v129(constB156, bitIndex0))) <=> (v90(constB156, bitIndex0) | (~v129(constB156, bitIndex0)) | (~v100(constB156)))),
% 49.54/32.67 inference(rewrite,[status(thm)],[])).
% 49.54/32.67 tff(21366,plain,
% 49.54/32.67 (((~![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))))),
% 49.54/32.67 inference(monotonicity,[status(thm)],[21365])).
% 49.54/32.67 tff(21367,plain,
% 49.54/32.67 (((~![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)))),
% 49.54/32.67 inference(transitivity,[status(thm)],[21366, 21364])).
% 49.54/32.67 tff(21368,plain,
% 49.54/32.67 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB156, bitIndex0) | (~v100(constB156)) | (~v129(constB156, bitIndex0)))),
% 49.54/32.67 inference(quant_inst,[status(thm)],[])).
% 49.54/32.67 tff(21369,plain,
% 49.54/32.67 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB156, bitIndex0) | (~v129(constB156, bitIndex0)) | (~v100(constB156))),
% 49.54/32.67 inference(modus_ponens,[status(thm)],[21368, 21367])).
% 49.54/32.67 tff(21370,plain,
% 49.54/32.67 (v90(constB156, bitIndex0) | (~v100(constB156))),
% 49.54/32.67 inference(unit_resolution,[status(thm)],[21369, 1088, 21363])).
% 49.54/32.67 tff(21371,plain,
% 49.54/32.67 (v90(constB156, bitIndex0)),
% 49.54/32.67 inference(unit_resolution,[status(thm)],[21370, 21230])).
% 49.54/32.67 tff(21372,plain,
% 49.54/32.67 (((~![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))),
% 49.54/32.67 inference(rewrite,[status(thm)],[])).
% 49.54/32.67 tff(21373,plain,
% 49.54/32.67 (((~nextState(constB156, constB157)) | (~v90(constB156, bitIndex0)) | v100(constB157) | v90(constB157, bitIndex0)) <=> ((~v90(constB156, bitIndex0)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, bitIndex0))),
% 49.54/32.67 inference(rewrite,[status(thm)],[])).
% 49.54/32.67 tff(21374,plain,
% 49.54/32.67 (((~![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)))),
% 49.54/32.67 inference(monotonicity,[status(thm)],[21373])).
% 49.54/32.67 tff(21375,plain,
% 49.54/32.67 (((~![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))),
% 49.54/32.67 inference(transitivity,[status(thm)],[21374, 21372])).
% 49.54/32.67 tff(21376,plain,
% 49.54/32.67 ((~![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))),
% 49.54/32.67 inference(quant_inst,[status(thm)],[])).
% 49.54/32.67 tff(21377,plain,
% 49.54/32.67 ((~![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)),
% 49.54/32.67 inference(modus_ponens,[status(thm)],[21376, 21375])).
% 49.54/32.67 tff(21378,plain,
% 49.54/32.67 ((~v90(constB156, bitIndex0)) | v100(constB157) | v90(constB157, bitIndex0)),
% 49.54/32.67 inference(unit_resolution,[status(thm)],[21377, 1124, 21288])).
% 49.54/32.67 tff(21379,plain,
% 49.54/32.67 ((~v90(constB156, bitIndex0)) | v90(constB157, bitIndex0)),
% 49.54/32.67 inference(unit_resolution,[status(thm)],[21378, 21300])).
% 49.54/32.67 tff(21380,plain,
% 49.54/32.67 (v90(constB157, bitIndex0)),
% 49.54/32.67 inference(unit_resolution,[status(thm)],[21379, 21371])).
% 49.54/32.67 tff(21381,plain,
% 49.54/32.67 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB157, bitIndex0)) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2) | v120(constB157))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB157, bitIndex0)) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2) | v120(constB157))),
% 49.54/32.67 inference(rewrite,[status(thm)],[])).
% 49.54/32.67 tff(21382,plain,
% 49.54/32.67 (((~v90(constB157, bitIndex0)) | v120(constB157) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2)) <=> ((~v90(constB157, bitIndex0)) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2) | v120(constB157))),
% 49.54/32.67 inference(rewrite,[status(thm)],[])).
% 49.54/32.67 tff(21383,plain,
% 49.54/32.67 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB157, bitIndex0)) | v120(constB157) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB157, bitIndex0)) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2) | v120(constB157)))),
% 49.54/32.67 inference(monotonicity,[status(thm)],[21382])).
% 49.54/32.67 tff(21384,plain,
% 49.54/32.67 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB157, bitIndex0)) | v120(constB157) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB157, bitIndex0)) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2) | v120(constB157))),
% 49.54/32.67 inference(transitivity,[status(thm)],[21383, 21381])).
% 49.54/32.67 tff(21385,plain,
% 49.54/32.67 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB157, bitIndex0)) | v120(constB157) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2))),
% 49.54/32.67 inference(quant_inst,[status(thm)],[])).
% 49.54/32.67 tff(21386,plain,
% 49.54/32.67 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB157, bitIndex0)) | v90(constB157, bitIndex1) | v90(constB157, bitIndex2) | v120(constB157)),
% 49.54/32.67 inference(modus_ponens,[status(thm)],[21385, 21384])).
% 49.54/32.67 tff(21387,plain,
% 49.54/32.67 (v120(constB157)),
% 49.54/32.67 inference(unit_resolution,[status(thm)],[21386, 1285, 21380, 21346, 21309])).
% 49.54/32.67 tff(21388,plain,
% 49.54/32.67 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB157) | (~v120(constB157)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB157) | (~v120(constB157)))),
% 49.54/32.67 inference(rewrite,[status(thm)],[])).
% 49.54/32.67 tff(21389,plain,
% 49.54/32.67 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB157) | (~v120(constB157)))),
% 49.54/32.67 inference(quant_inst,[status(thm)],[])).
% 49.54/32.67 tff(21390,plain,
% 49.54/32.67 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB157) | (~v120(constB157))),
% 49.54/32.67 inference(modus_ponens,[status(thm)],[21389, 21388])).
% 49.54/32.67 tff(21391,plain,
% 49.54/32.67 (v118(constB157)),
% 49.54/32.67 inference(unit_resolution,[status(thm)],[21390, 1302, 21387])).
% 49.54/32.67 tff(21392,plain,
% 49.54/32.67 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB157) | (~v118(constB157)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB157) | (~v118(constB157)))),
% 49.54/32.67 inference(rewrite,[status(thm)],[])).
% 49.54/32.67 tff(21393,plain,
% 49.54/32.67 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB157) | (~v118(constB157)))),
% 49.54/32.67 inference(quant_inst,[status(thm)],[])).
% 49.54/32.67 tff(21394,plain,
% 49.54/32.67 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB157) | (~v118(constB157))),
% 49.54/32.67 inference(modus_ponens,[status(thm)],[21393, 21392])).
% 49.54/32.67 tff(21395,plain,
% 49.54/32.67 (v117(constB157)),
% 49.54/32.67 inference(unit_resolution,[status(thm)],[21394, 166, 21391])).
% 49.54/32.67 tff(21396,plain,
% 49.54/32.67 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB157) | (~v117(constB157)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB157) | (~v117(constB157)))),
% 49.54/32.67 inference(rewrite,[status(thm)],[])).
% 49.54/32.67 tff(21397,plain,
% 49.54/32.67 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB157) | (~v117(constB157)))),
% 49.54/32.67 inference(quant_inst,[status(thm)],[])).
% 49.54/32.67 tff(21398,plain,
% 49.54/32.67 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB157) | (~v117(constB157))),
% 49.54/32.67 inference(modus_ponens,[status(thm)],[21397, 21396])).
% 49.54/32.67 tff(21399,plain,
% 49.54/32.67 (v116(constB157)),
% 49.54/32.67 inference(unit_resolution,[status(thm)],[21398, 177, 21395])).
% 49.54/32.67 tff(21400,plain,
% 49.54/32.67 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB157) | (~v116(constB157)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB157) | (~v116(constB157)))),
% 49.54/32.67 inference(rewrite,[status(thm)],[])).
% 49.54/32.67 tff(21401,plain,
% 49.54/32.67 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB157) | (~v116(constB157)))),
% 49.54/32.67 inference(quant_inst,[status(thm)],[])).
% 49.54/32.67 tff(21402,plain,
% 49.54/32.67 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB157) | (~v116(constB157))),
% 49.54/32.67 inference(modus_ponens,[status(thm)],[21401, 21400])).
% 49.54/32.67 tff(21403,plain,
% 49.54/32.67 (v115(constB157)),
% 49.54/32.67 inference(unit_resolution,[status(thm)],[21402, 188, 21399])).
% 49.54/32.67 tff(21404,plain,
% 49.54/32.67 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB157) | (~v115(constB157)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB157) | (~v115(constB157)))),
% 49.54/32.67 inference(rewrite,[status(thm)],[])).
% 49.54/32.67 tff(21405,plain,
% 49.54/32.67 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB157) | (~v115(constB157)))),
% 49.54/32.67 inference(quant_inst,[status(thm)],[])).
% 49.54/32.67 tff(21406,plain,
% 49.54/32.67 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB157) | (~v115(constB157))),
% 49.54/32.67 inference(modus_ponens,[status(thm)],[21405, 21404])).
% 49.54/32.67 tff(21407,plain,
% 49.54/32.67 (v114(constB157)),
% 49.54/32.67 inference(unit_resolution,[status(thm)],[21406, 199, 21403])).
% 49.54/32.67 tff(21408,plain,
% 49.54/32.67 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB157) | (~v114(constB157)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB157) | (~v114(constB157)))),
% 49.54/32.67 inference(rewrite,[status(thm)],[])).
% 49.54/32.67 tff(21409,plain,
% 49.54/32.67 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB157) | (~v114(constB157)))),
% 49.54/32.67 inference(quant_inst,[status(thm)],[])).
% 49.54/32.67 tff(21410,plain,
% 49.54/32.67 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB157) | (~v114(constB157))),
% 49.54/32.67 inference(modus_ponens,[status(thm)],[21409, 21408])).
% 49.54/32.67 tff(21411,plain,
% 49.54/32.67 (v113(constB157)),
% 49.54/32.67 inference(unit_resolution,[status(thm)],[21410, 210, 21407])).
% 49.54/32.67 tff(21412,assumption,(v26(constB157)), introduced(assumption)).
% 49.54/32.67 tff(21413,plain,
% 49.54/32.67 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB157))),
% 49.54/32.67 inference(quant_inst,[status(thm)],[])).
% 49.54/32.67 tff(21414,plain,
% 49.54/32.67 ($false),
% 49.54/32.67 inference(unit_resolution,[status(thm)],[21413, 16, 21412])).
% 49.54/32.67 tff(21415,plain,(~v26(constB157)), inference(lemma,lemma(discharge,[]))).
% 49.54/32.67 tff(21416,plain,
% 49.54/32.67 (((~![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)))),
% 49.54/32.67 inference(rewrite,[status(thm)],[])).
% 49.54/32.67 tff(21417,plain,
% 49.54/32.67 ((v26(constB157) | (~v113(constB157)) | v112(constB157)) <=> (v26(constB157) | v112(constB157) | (~v113(constB157)))),
% 49.54/32.67 inference(rewrite,[status(thm)],[])).
% 49.54/32.67 tff(21418,plain,
% 49.54/32.67 (((~![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))))),
% 49.54/32.67 inference(monotonicity,[status(thm)],[21417])).
% 49.54/32.67 tff(21419,plain,
% 49.54/32.67 (((~![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)))),
% 49.54/32.67 inference(transitivity,[status(thm)],[21418, 21416])).
% 49.54/32.67 tff(21420,plain,
% 49.54/32.67 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB157) | (~v113(constB157)) | v112(constB157))),
% 49.54/32.67 inference(quant_inst,[status(thm)],[])).
% 49.54/32.67 tff(21421,plain,
% 49.54/32.67 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB157) | v112(constB157) | (~v113(constB157))),
% 49.54/32.67 inference(modus_ponens,[status(thm)],[21420, 21419])).
% 49.54/32.67 tff(21422,plain,
% 49.54/32.67 (v112(constB157) | (~v113(constB157))),
% 49.54/32.67 inference(unit_resolution,[status(thm)],[21421, 224, 21415])).
% 49.54/32.67 tff(21423,plain,
% 49.54/32.67 (v112(constB157)),
% 49.54/32.67 inference(unit_resolution,[status(thm)],[21422, 21411])).
% 49.54/32.67 tff(21424,plain,
% 49.54/32.67 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB157) | (~v112(constB157)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB157) | (~v112(constB157)))),
% 49.54/32.67 inference(rewrite,[status(thm)],[])).
% 49.54/32.67 tff(21425,plain,
% 49.54/32.67 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB157) | (~v112(constB157)))),
% 49.54/32.67 inference(quant_inst,[status(thm)],[])).
% 49.54/32.67 tff(21426,plain,
% 49.54/32.67 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB157) | (~v112(constB157))),
% 49.54/32.67 inference(modus_ponens,[status(thm)],[21425, 21424])).
% 49.54/32.67 tff(21427,plain,
% 49.54/32.67 (v108(constB157)),
% 49.54/32.67 inference(unit_resolution,[status(thm)],[21426, 236, 21423])).
% 49.54/32.67 tff(21428,plain,
% 49.54/32.67 (nextState(constB157, constB158) <=> nextState(constB157, constB158)),
% 49.54/32.67 inference(rewrite,[status(thm)],[])).
% 49.54/32.67 tff(21429,axiom,(nextState(constB157, constB158)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_157_1')).
% 49.54/32.67 tff(21430,plain,
% 49.54/32.67 (nextState(constB157, constB158)),
% 49.54/32.67 inference(modus_ponens,[status(thm)],[21429, 21428])).
% 49.54/32.67 tff(21431,plain,
% 49.54/32.67 (((~![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)))),
% 49.54/32.67 inference(rewrite,[status(thm)],[])).
% 49.54/32.67 tff(21432,plain,
% 49.54/32.67 (((~nextState(constB157, constB158)) | (~v108(constB157)) | v110(constB158)) <=> ((~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157)))),
% 49.54/32.67 inference(rewrite,[status(thm)],[])).
% 49.54/32.67 tff(21433,plain,
% 49.54/32.67 (((~![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))))),
% 49.54/32.67 inference(monotonicity,[status(thm)],[21432])).
% 49.54/32.67 tff(21434,plain,
% 49.54/32.67 (((~![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)))),
% 49.54/32.67 inference(transitivity,[status(thm)],[21433, 21431])).
% 49.54/32.67 tff(21435,plain,
% 49.54/32.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB157, constB158)) | (~v108(constB157)) | v110(constB158))),
% 49.54/32.67 inference(quant_inst,[status(thm)],[])).
% 49.54/32.67 tff(21436,plain,
% 49.54/32.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157))),
% 49.54/32.67 inference(modus_ponens,[status(thm)],[21435, 21434])).
% 49.54/32.67 tff(21437,plain,
% 49.54/32.67 (v110(constB158) | (~v108(constB157))),
% 49.54/32.67 inference(unit_resolution,[status(thm)],[21436, 253, 21430])).
% 49.54/32.67 tff(21438,plain,
% 49.54/32.67 (v110(constB158)),
% 49.54/32.67 inference(unit_resolution,[status(thm)],[21437, 21427])).
% 49.54/32.67 tff(21439,plain,
% 49.54/32.67 (((~![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)))),
% 49.54/32.67 inference(rewrite,[status(thm)],[])).
% 49.54/32.67 tff(21440,plain,
% 49.54/32.67 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB157) | (~nextState(constB157, constB158)) | (~v104(constB158)))),
% 49.54/32.67 inference(quant_inst,[status(thm)],[])).
% 49.54/32.67 tff(21441,plain,
% 49.54/32.67 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB157) | (~nextState(constB157, constB158)) | (~v104(constB158))),
% 49.54/32.67 inference(modus_ponens,[status(thm)],[21440, 21439])).
% 49.54/32.67 tff(21442,plain,
% 49.54/32.67 (~v104(constB158)),
% 49.54/32.67 inference(unit_resolution,[status(thm)],[21441, 271, 21430, 21285])).
% 49.54/32.67 tff(21443,plain,
% 49.54/32.67 (((~![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))),
% 49.54/32.67 inference(rewrite,[status(thm)],[])).
% 49.54/32.67 tff(21444,plain,
% 49.54/32.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB157, constB158)) | v102(constB158) | v104(constB158))),
% 49.54/32.67 inference(quant_inst,[status(thm)],[])).
% 49.54/32.67 tff(21445,plain,
% 49.54/32.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB157, constB158)) | v102(constB158) | v104(constB158)),
% 49.54/32.67 inference(modus_ponens,[status(thm)],[21444, 21443])).
% 49.54/32.67 tff(21446,plain,
% 49.54/32.67 (v102(constB158) | v104(constB158)),
% 49.54/32.67 inference(unit_resolution,[status(thm)],[21445, 285, 21430])).
% 49.54/32.67 tff(21447,plain,
% 49.54/32.67 (v102(constB158)),
% 49.54/32.67 inference(unit_resolution,[status(thm)],[21446, 21442])).
% 49.54/32.67 tff(21448,plain,
% 49.54/32.67 (v1(constB158) <=> v1(constB158)),
% 49.54/32.67 inference(rewrite,[status(thm)],[])).
% 49.54/32.67 tff(21449,axiom,(v1(constB158)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_158_1')).
% 49.54/32.67 tff(21450,plain,
% 49.54/32.67 (v1(constB158)),
% 49.54/32.67 inference(modus_ponens,[status(thm)],[21449, 21448])).
% 49.54/32.67 tff(21451,plain,
% 49.54/32.67 (((~![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)))),
% 49.54/32.67 inference(rewrite,[status(thm)],[])).
% 49.54/32.67 tff(21452,plain,
% 49.54/32.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB157, constB158)) | v101(constB158) | (~v102(constB158)) | (~v1(constB158)))),
% 49.54/32.67 inference(quant_inst,[status(thm)],[])).
% 49.54/32.67 tff(21453,plain,
% 49.54/32.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB157, constB158)) | v101(constB158) | (~v102(constB158)) | (~v1(constB158))),
% 49.54/32.67 inference(modus_ponens,[status(thm)],[21452, 21451])).
% 49.54/32.67 tff(21454,plain,
% 49.54/32.67 (v101(constB158) | (~v102(constB158))),
% 49.54/32.67 inference(unit_resolution,[status(thm)],[21453, 303, 21430, 21450])).
% 49.54/32.67 tff(21455,plain,
% 49.54/32.67 (v101(constB158)),
% 49.54/32.67 inference(unit_resolution,[status(thm)],[21454, 21447])).
% 49.54/32.67 tff(21456,plain,
% 49.54/32.67 (((~![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)))),
% 49.54/32.67 inference(rewrite,[status(thm)],[])).
% 49.54/32.67 tff(21457,plain,
% 49.54/32.67 (((~nextState(constB157, constB158)) | (~v101(constB158)) | (~v110(constB158)) | v100(constB158)) <=> ((~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158)))),
% 49.54/32.67 inference(rewrite,[status(thm)],[])).
% 49.54/32.67 tff(21458,plain,
% 49.54/32.67 (((~![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))))),
% 49.54/32.67 inference(monotonicity,[status(thm)],[21457])).
% 49.54/32.67 tff(21459,plain,
% 49.54/32.67 (((~![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)))),
% 49.54/32.67 inference(transitivity,[status(thm)],[21458, 21456])).
% 49.54/32.67 tff(21460,plain,
% 49.54/32.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB157, constB158)) | (~v101(constB158)) | (~v110(constB158)) | v100(constB158))),
% 49.54/32.67 inference(quant_inst,[status(thm)],[])).
% 49.54/32.67 tff(21461,plain,
% 49.54/32.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158))),
% 49.54/32.67 inference(modus_ponens,[status(thm)],[21460, 21459])).
% 49.54/32.67 tff(21462,plain,
% 49.54/32.67 (v100(constB158) | (~v101(constB158)) | (~v110(constB158))),
% 49.54/32.67 inference(unit_resolution,[status(thm)],[21461, 318, 21430])).
% 49.54/32.67 tff(21463,plain,
% 49.54/32.67 (v100(constB158) | (~v110(constB158))),
% 49.54/32.67 inference(unit_resolution,[status(thm)],[21462, 21455])).
% 49.54/32.67 tff(21464,plain,
% 49.54/32.67 (v100(constB158)),
% 49.54/32.67 inference(unit_resolution,[status(thm)],[21463, 21438])).
% 49.54/32.67 tff(21465,plain,
% 49.54/32.67 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB157)) | (~v130(constB157, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB157)) | (~v130(constB157, bitIndex2)))),
% 49.54/32.67 inference(rewrite,[status(thm)],[])).
% 49.54/32.67 tff(21466,plain,
% 49.54/32.67 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB157)) | (~v130(constB157, bitIndex2)))),
% 49.54/32.67 inference(quant_inst,[status(thm)],[])).
% 49.54/32.67 tff(21467,plain,
% 49.54/32.67 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB157)) | (~v130(constB157, bitIndex2))),
% 49.54/32.67 inference(modus_ponens,[status(thm)],[21466, 21465])).
% 49.54/32.67 tff(21468,plain,
% 49.54/32.67 (~v130(constB157, bitIndex2)),
% 49.54/32.67 inference(unit_resolution,[status(thm)],[21467, 1383, 21387])).
% 49.54/32.67 tff(21469,plain,
% 49.54/32.67 (((~![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))),
% 49.54/32.67 inference(rewrite,[status(thm)],[])).
% 49.54/32.67 tff(21470,plain,
% 49.54/32.67 ((v26(constB157) | v130(constB157, bitIndex2) | (~v127(constB157, bitIndex2))) <=> ((~v127(constB157, bitIndex2)) | v26(constB157) | v130(constB157, bitIndex2))),
% 49.54/32.67 inference(rewrite,[status(thm)],[])).
% 49.54/32.67 tff(21471,plain,
% 49.54/32.67 (((~![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)))),
% 49.54/32.68 inference(monotonicity,[status(thm)],[21470])).
% 49.54/32.68 tff(21472,plain,
% 49.54/32.68 (((~![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))),
% 49.54/32.68 inference(transitivity,[status(thm)],[21471, 21469])).
% 49.54/32.68 tff(21473,plain,
% 49.54/32.68 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB157) | v130(constB157, bitIndex2) | (~v127(constB157, bitIndex2)))),
% 49.54/32.68 inference(quant_inst,[status(thm)],[])).
% 49.54/32.68 tff(21474,plain,
% 49.54/32.68 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB157, bitIndex2)) | v26(constB157) | v130(constB157, bitIndex2)),
% 49.54/32.68 inference(modus_ponens,[status(thm)],[21473, 21472])).
% 49.54/32.68 tff(21475,plain,
% 49.54/32.68 ((~v127(constB157, bitIndex2)) | v130(constB157, bitIndex2)),
% 49.54/32.68 inference(unit_resolution,[status(thm)],[21474, 1210, 21415])).
% 49.54/32.68 tff(21476,plain,
% 49.54/32.68 (~v127(constB157, bitIndex2)),
% 49.54/32.68 inference(unit_resolution,[status(thm)],[21475, 21468])).
% 49.54/32.68 tff(21477,plain,
% 49.54/32.68 (((~![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)))),
% 49.54/32.68 inference(rewrite,[status(thm)],[])).
% 49.54/32.68 tff(21478,plain,
% 49.54/32.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB157, constB158)) | v127(constB157, bitIndex2) | (~v129(constB158, bitIndex2)))),
% 49.54/32.68 inference(quant_inst,[status(thm)],[])).
% 49.54/32.68 tff(21479,plain,
% 49.54/32.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB157, constB158)) | v127(constB157, bitIndex2) | (~v129(constB158, bitIndex2))),
% 49.54/32.68 inference(modus_ponens,[status(thm)],[21478, 21477])).
% 49.54/32.68 tff(21480,plain,
% 49.54/32.68 (v127(constB157, bitIndex2) | (~v129(constB158, bitIndex2))),
% 49.54/32.68 inference(unit_resolution,[status(thm)],[21479, 1243, 21430])).
% 49.54/32.68 tff(21481,plain,
% 49.54/32.68 (~v129(constB158, bitIndex2)),
% 49.54/32.68 inference(unit_resolution,[status(thm)],[21480, 21476])).
% 49.54/32.68 tff(21482,plain,
% 49.54/32.68 (((~![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)))),
% 49.54/32.68 inference(rewrite,[status(thm)],[])).
% 49.54/32.68 tff(21483,plain,
% 49.54/32.68 (((~v90(constB158, bitIndex2)) | (~v100(constB158)) | v129(constB158, bitIndex2)) <=> ((~v90(constB158, bitIndex2)) | v129(constB158, bitIndex2) | (~v100(constB158)))),
% 49.54/32.68 inference(rewrite,[status(thm)],[])).
% 49.54/32.68 tff(21484,plain,
% 49.54/32.68 (((~![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))))),
% 49.54/32.68 inference(monotonicity,[status(thm)],[21483])).
% 49.54/32.68 tff(21485,plain,
% 49.54/32.68 (((~![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)))),
% 49.54/32.68 inference(transitivity,[status(thm)],[21484, 21482])).
% 49.54/32.68 tff(21486,plain,
% 49.54/32.68 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB158, bitIndex2)) | (~v100(constB158)) | v129(constB158, bitIndex2))),
% 49.54/32.68 inference(quant_inst,[status(thm)],[])).
% 49.54/32.68 tff(21487,plain,
% 49.54/32.68 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB158, bitIndex2)) | v129(constB158, bitIndex2) | (~v100(constB158))),
% 49.54/32.68 inference(modus_ponens,[status(thm)],[21486, 21485])).
% 49.54/32.68 tff(21488,plain,
% 49.54/32.68 ((~v90(constB158, bitIndex2)) | (~v100(constB158))),
% 49.54/32.68 inference(unit_resolution,[status(thm)],[21487, 1258, 21481])).
% 49.54/32.68 tff(21489,plain,
% 49.54/32.68 (~v90(constB158, bitIndex2)),
% 49.54/32.68 inference(unit_resolution,[status(thm)],[21488, 21464])).
% 49.54/32.68 tff(21490,plain,
% 49.54/32.68 ((~v1(constB159)) <=> (~v1(constB159))),
% 49.54/32.68 inference(rewrite,[status(thm)],[])).
% 49.54/32.68 tff(21491,axiom,(~v1(constB159)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_159_1_1')).
% 49.54/32.68 tff(21492,plain,
% 49.54/32.68 (~v1(constB159)),
% 49.54/32.68 inference(modus_ponens,[status(thm)],[21491, 21490])).
% 49.54/32.68 tff(21493,plain,
% 49.54/32.68 (nextState(constB158, constB159) <=> nextState(constB158, constB159)),
% 49.54/32.68 inference(rewrite,[status(thm)],[])).
% 49.54/32.68 tff(21494,axiom,(nextState(constB158, constB159)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_158_1')).
% 49.54/32.68 tff(21495,plain,
% 49.54/32.68 (nextState(constB158, constB159)),
% 49.54/32.68 inference(modus_ponens,[status(thm)],[21494, 21493])).
% 49.54/32.68 tff(21496,plain,
% 49.54/32.68 (((~![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)))),
% 49.54/32.68 inference(rewrite,[status(thm)],[])).
% 49.54/32.68 tff(21497,plain,
% 49.54/32.68 (((~nextState(constB158, constB159)) | (~v101(constB159)) | v1(constB159)) <=> (v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159)))),
% 49.54/32.68 inference(rewrite,[status(thm)],[])).
% 49.54/32.68 tff(21498,plain,
% 49.54/32.68 (((~![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))))),
% 49.54/32.68 inference(monotonicity,[status(thm)],[21497])).
% 49.54/32.68 tff(21499,plain,
% 49.54/32.68 (((~![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)))),
% 49.54/32.68 inference(transitivity,[status(thm)],[21498, 21496])).
% 49.54/32.68 tff(21500,plain,
% 49.54/32.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB158, constB159)) | (~v101(constB159)) | v1(constB159))),
% 49.54/32.68 inference(quant_inst,[status(thm)],[])).
% 49.54/32.68 tff(21501,plain,
% 49.54/32.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159))),
% 49.54/32.68 inference(modus_ponens,[status(thm)],[21500, 21499])).
% 49.54/32.68 tff(21502,plain,
% 49.54/32.68 (~v101(constB159)),
% 49.54/32.68 inference(unit_resolution,[status(thm)],[21501, 49, 21495, 21492])).
% 49.54/32.68 tff(21503,plain,
% 49.54/32.68 (((~![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)))),
% 49.54/32.68 inference(rewrite,[status(thm)],[])).
% 49.54/32.68 tff(21504,plain,
% 49.54/32.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB158, constB159)) | v101(constB159) | (~v100(constB159)))),
% 49.54/32.68 inference(quant_inst,[status(thm)],[])).
% 49.54/32.68 tff(21505,plain,
% 49.54/32.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB158, constB159)) | v101(constB159) | (~v100(constB159))),
% 49.54/32.68 inference(modus_ponens,[status(thm)],[21504, 21503])).
% 49.54/32.68 tff(21506,plain,
% 49.54/32.68 (v101(constB159) | (~v100(constB159))),
% 49.54/32.68 inference(unit_resolution,[status(thm)],[21505, 66, 21495])).
% 49.54/32.68 tff(21507,plain,
% 49.54/32.68 (~v100(constB159)),
% 49.54/32.68 inference(unit_resolution,[status(thm)],[21506, 21502])).
% 49.54/32.68 tff(21508,plain,
% 49.54/32.68 (((~![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)))),
% 49.54/32.68 inference(rewrite,[status(thm)],[])).
% 49.54/32.68 tff(21509,plain,
% 49.54/32.68 (((~nextState(constB158, constB159)) | v90(constB158, bitIndex2) | v100(constB159) | (~v90(constB159, bitIndex2))) <=> (v90(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex2)))),
% 49.54/32.68 inference(rewrite,[status(thm)],[])).
% 49.54/32.68 tff(21510,plain,
% 49.54/32.68 (((~![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))))),
% 49.54/32.68 inference(monotonicity,[status(thm)],[21509])).
% 49.54/32.68 tff(21511,plain,
% 49.54/32.68 (((~![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)))),
% 49.54/32.68 inference(transitivity,[status(thm)],[21510, 21508])).
% 49.54/32.68 tff(21512,plain,
% 49.54/32.68 ((~![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)))),
% 49.54/32.68 inference(quant_inst,[status(thm)],[])).
% 49.54/32.68 tff(21513,plain,
% 49.54/32.68 ((~![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))),
% 49.54/32.68 inference(modus_ponens,[status(thm)],[21512, 21511])).
% 49.54/32.68 tff(21514,plain,
% 49.54/32.68 (v90(constB158, bitIndex2) | v100(constB159) | (~v90(constB159, bitIndex2))),
% 49.54/32.68 inference(unit_resolution,[status(thm)],[21513, 81, 21495])).
% 49.54/32.68 tff(21515,plain,
% 49.54/32.68 (v90(constB158, bitIndex2) | (~v90(constB159, bitIndex2))),
% 49.54/32.68 inference(unit_resolution,[status(thm)],[21514, 21507])).
% 49.54/32.68 tff(21516,plain,
% 49.54/32.68 (~v90(constB159, bitIndex2)),
% 49.54/32.68 inference(unit_resolution,[status(thm)],[21515, 21489])).
% 49.54/32.68 tff(21517,plain,
% 49.54/32.68 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB157)) | v130(constB157, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB157)) | v130(constB157, bitIndex1))),
% 49.54/32.68 inference(rewrite,[status(thm)],[])).
% 49.54/32.68 tff(21518,plain,
% 49.54/32.68 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB157)) | v130(constB157, bitIndex1))),
% 49.54/32.68 inference(quant_inst,[status(thm)],[])).
% 49.54/32.68 tff(21519,plain,
% 49.54/32.68 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB157)) | v130(constB157, bitIndex1)),
% 49.54/32.68 inference(modus_ponens,[status(thm)],[21518, 21517])).
% 49.54/32.68 tff(21520,plain,
% 49.54/32.68 (v130(constB157, bitIndex1)),
% 49.54/32.68 inference(unit_resolution,[status(thm)],[21519, 1450, 21387])).
% 49.54/32.68 tff(21521,plain,
% 49.54/32.68 (((~![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))) | v26(constB157) | (~v130(constB157, bitIndex1)) | v127(constB157, bitIndex1))),
% 49.54/32.68 inference(rewrite,[status(thm)],[])).
% 49.54/32.68 tff(21522,plain,
% 49.54/32.68 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB157) | (~v130(constB157, bitIndex1)) | v127(constB157, bitIndex1))),
% 49.54/32.68 inference(quant_inst,[status(thm)],[])).
% 49.54/32.68 tff(21523,plain,
% 49.54/32.68 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB157) | (~v130(constB157, bitIndex1)) | v127(constB157, bitIndex1)),
% 49.54/32.68 inference(modus_ponens,[status(thm)],[21522, 21521])).
% 49.54/32.68 tff(21524,plain,
% 49.54/32.68 ((~v130(constB157, bitIndex1)) | v127(constB157, bitIndex1)),
% 49.54/32.68 inference(unit_resolution,[status(thm)],[21523, 681, 21415])).
% 49.54/32.68 tff(21525,plain,
% 49.54/32.68 (v127(constB157, bitIndex1)),
% 49.54/32.68 inference(unit_resolution,[status(thm)],[21524, 21520])).
% 49.54/32.68 tff(21526,plain,
% 49.54/32.68 (((~![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))),
% 49.54/32.68 inference(rewrite,[status(thm)],[])).
% 49.54/32.68 tff(21527,plain,
% 49.54/32.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB157, constB158)) | (~v127(constB157, bitIndex1)) | v129(constB158, bitIndex1))),
% 49.54/32.68 inference(quant_inst,[status(thm)],[])).
% 49.54/32.68 tff(21528,plain,
% 49.54/32.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB157, constB158)) | (~v127(constB157, bitIndex1)) | v129(constB158, bitIndex1)),
% 49.54/32.68 inference(modus_ponens,[status(thm)],[21527, 21526])).
% 49.54/32.68 tff(21529,plain,
% 49.54/32.68 ((~v127(constB157, bitIndex1)) | v129(constB158, bitIndex1)),
% 49.54/32.68 inference(unit_resolution,[status(thm)],[21528, 696, 21430])).
% 49.54/32.68 tff(21530,plain,
% 49.54/32.68 (v129(constB158, bitIndex1)),
% 49.54/32.68 inference(unit_resolution,[status(thm)],[21529, 21525])).
% 49.54/32.68 tff(21531,plain,
% 49.54/32.68 (((~![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)))),
% 49.54/32.68 inference(rewrite,[status(thm)],[])).
% 49.54/32.68 tff(21532,plain,
% 49.54/32.68 ((v90(constB158, bitIndex1) | (~v100(constB158)) | (~v129(constB158, bitIndex1))) <=> (v90(constB158, bitIndex1) | (~v129(constB158, bitIndex1)) | (~v100(constB158)))),
% 49.54/32.68 inference(rewrite,[status(thm)],[])).
% 49.54/32.68 tff(21533,plain,
% 49.54/32.68 (((~![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))))),
% 49.54/32.68 inference(monotonicity,[status(thm)],[21532])).
% 49.54/32.68 tff(21534,plain,
% 49.54/32.68 (((~![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)))),
% 49.54/32.68 inference(transitivity,[status(thm)],[21533, 21531])).
% 49.54/32.68 tff(21535,plain,
% 49.54/32.68 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB158, bitIndex1) | (~v100(constB158)) | (~v129(constB158, bitIndex1)))),
% 49.54/32.68 inference(quant_inst,[status(thm)],[])).
% 49.54/32.68 tff(21536,plain,
% 49.54/32.68 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB158, bitIndex1) | (~v129(constB158, bitIndex1)) | (~v100(constB158))),
% 49.54/32.68 inference(modus_ponens,[status(thm)],[21535, 21534])).
% 49.54/32.68 tff(21537,plain,
% 49.54/32.68 (v90(constB158, bitIndex1) | (~v100(constB158))),
% 49.54/32.68 inference(unit_resolution,[status(thm)],[21536, 711, 21530])).
% 49.54/32.68 tff(21538,plain,
% 49.54/32.68 (v90(constB158, bitIndex1)),
% 49.54/32.68 inference(unit_resolution,[status(thm)],[21537, 21464])).
% 49.54/32.68 tff(21539,plain,
% 49.54/32.68 (((~![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))),
% 49.54/32.68 inference(rewrite,[status(thm)],[])).
% 49.54/32.68 tff(21540,plain,
% 49.54/32.68 (((~nextState(constB158, constB159)) | (~v90(constB158, bitIndex1)) | v100(constB159) | v90(constB159, bitIndex1)) <=> ((~v90(constB158, bitIndex1)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, bitIndex1))),
% 49.54/32.68 inference(rewrite,[status(thm)],[])).
% 49.54/32.68 tff(21541,plain,
% 49.54/32.68 (((~![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)))),
% 49.54/32.68 inference(monotonicity,[status(thm)],[21540])).
% 49.54/32.68 tff(21542,plain,
% 49.54/32.68 (((~![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))),
% 49.54/32.68 inference(transitivity,[status(thm)],[21541, 21539])).
% 49.54/32.68 tff(21543,plain,
% 49.54/32.68 ((~![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))),
% 49.54/32.68 inference(quant_inst,[status(thm)],[])).
% 49.54/32.68 tff(21544,plain,
% 49.54/32.68 ((~![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)),
% 49.54/32.68 inference(modus_ponens,[status(thm)],[21543, 21542])).
% 49.54/32.68 tff(21545,plain,
% 49.54/32.68 ((~v90(constB158, bitIndex1)) | v100(constB159) | v90(constB159, bitIndex1)),
% 49.54/32.68 inference(unit_resolution,[status(thm)],[21544, 747, 21495])).
% 49.54/32.68 tff(21546,plain,
% 49.54/32.68 ((~v90(constB158, bitIndex1)) | v90(constB159, bitIndex1)),
% 49.54/32.68 inference(unit_resolution,[status(thm)],[21545, 21507])).
% 49.54/32.68 tff(21547,plain,
% 49.54/32.68 (v90(constB159, bitIndex1)),
% 49.54/32.68 inference(unit_resolution,[status(thm)],[21546, 21538])).
% 49.54/32.68 tff(21548,plain,
% 49.54/32.68 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB157)) | (~v130(constB157, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB157)) | (~v130(constB157, bitIndex0)))),
% 49.54/32.68 inference(rewrite,[status(thm)],[])).
% 49.54/32.68 tff(21549,plain,
% 49.54/32.68 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB157)) | (~v130(constB157, bitIndex0)))),
% 49.54/32.68 inference(quant_inst,[status(thm)],[])).
% 49.54/32.68 tff(21550,plain,
% 49.54/32.68 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB157)) | (~v130(constB157, bitIndex0))),
% 49.54/32.68 inference(modus_ponens,[status(thm)],[21549, 21548])).
% 49.54/32.68 tff(21551,plain,
% 49.54/32.68 (~v130(constB157, bitIndex0)),
% 49.54/32.68 inference(unit_resolution,[status(thm)],[21550, 1492, 21387])).
% 49.54/32.68 tff(21552,plain,
% 49.54/32.68 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB157, bitIndex0)) | v26(constB157) | v130(constB157, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB157, bitIndex0)) | v26(constB157) | v130(constB157, bitIndex0))),
% 49.54/32.68 inference(rewrite,[status(thm)],[])).
% 49.54/32.68 tff(21553,plain,
% 49.54/32.68 ((v26(constB157) | v130(constB157, bitIndex0) | (~v127(constB157, bitIndex0))) <=> ((~v127(constB157, bitIndex0)) | v26(constB157) | v130(constB157, bitIndex0))),
% 49.54/32.68 inference(rewrite,[status(thm)],[])).
% 49.54/32.68 tff(21554,plain,
% 49.54/32.68 (((~![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)))) | ((~v127(constB157, bitIndex0)) | v26(constB157) | v130(constB157, bitIndex0)))),
% 49.54/32.68 inference(monotonicity,[status(thm)],[21553])).
% 49.54/32.68 tff(21555,plain,
% 49.54/32.68 (((~![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)))) | (~v127(constB157, bitIndex0)) | v26(constB157) | v130(constB157, bitIndex0))),
% 49.54/32.68 inference(transitivity,[status(thm)],[21554, 21552])).
% 49.54/32.68 tff(21556,plain,
% 49.54/32.68 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB157) | v130(constB157, bitIndex0) | (~v127(constB157, bitIndex0)))),
% 49.54/32.68 inference(quant_inst,[status(thm)],[])).
% 49.54/32.68 tff(21557,plain,
% 49.54/32.68 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB157, bitIndex0)) | v26(constB157) | v130(constB157, bitIndex0)),
% 49.54/32.68 inference(modus_ponens,[status(thm)],[21556, 21555])).
% 49.54/32.68 tff(21558,plain,
% 49.54/32.68 ((~v127(constB157, bitIndex0)) | v130(constB157, bitIndex0)),
% 49.54/32.68 inference(unit_resolution,[status(thm)],[21557, 524, 21415])).
% 49.54/32.68 tff(21559,plain,
% 49.54/32.68 (~v127(constB157, bitIndex0)),
% 49.54/32.68 inference(unit_resolution,[status(thm)],[21558, 21551])).
% 49.54/32.68 tff(21560,plain,
% 49.54/32.68 (((~![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)))),
% 49.54/32.68 inference(rewrite,[status(thm)],[])).
% 49.54/32.68 tff(21561,plain,
% 49.54/32.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB157, constB158)) | v127(constB157, bitIndex0) | (~v129(constB158, bitIndex0)))),
% 49.54/32.68 inference(quant_inst,[status(thm)],[])).
% 49.54/32.68 tff(21562,plain,
% 49.54/32.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB157, constB158)) | v127(constB157, bitIndex0) | (~v129(constB158, bitIndex0))),
% 49.54/32.68 inference(modus_ponens,[status(thm)],[21561, 21560])).
% 49.54/32.68 tff(21563,plain,
% 49.54/32.68 (v127(constB157, bitIndex0) | (~v129(constB158, bitIndex0))),
% 49.54/32.68 inference(unit_resolution,[status(thm)],[21562, 542, 21430])).
% 49.54/32.68 tff(21564,plain,
% 49.54/32.68 (~v129(constB158, bitIndex0)),
% 49.54/32.68 inference(unit_resolution,[status(thm)],[21563, 21559])).
% 49.54/32.68 tff(21565,plain,
% 49.54/32.68 (((~![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)))),
% 49.54/32.68 inference(rewrite,[status(thm)],[])).
% 49.54/32.68 tff(21566,plain,
% 49.54/32.68 (((~v90(constB158, bitIndex0)) | (~v100(constB158)) | v129(constB158, bitIndex0)) <=> ((~v90(constB158, bitIndex0)) | v129(constB158, bitIndex0) | (~v100(constB158)))),
% 49.54/32.68 inference(rewrite,[status(thm)],[])).
% 49.54/32.68 tff(21567,plain,
% 49.54/32.68 (((~![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))))),
% 49.54/32.68 inference(monotonicity,[status(thm)],[21566])).
% 49.54/32.68 tff(21568,plain,
% 49.54/32.68 (((~![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)))),
% 49.54/32.68 inference(transitivity,[status(thm)],[21567, 21565])).
% 49.54/32.68 tff(21569,plain,
% 49.54/32.68 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB158, bitIndex0)) | (~v100(constB158)) | v129(constB158, bitIndex0))),
% 49.54/32.68 inference(quant_inst,[status(thm)],[])).
% 49.54/32.68 tff(21570,plain,
% 49.54/32.68 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB158, bitIndex0)) | v129(constB158, bitIndex0) | (~v100(constB158))),
% 49.54/32.68 inference(modus_ponens,[status(thm)],[21569, 21568])).
% 49.54/32.68 tff(21571,plain,
% 49.54/32.68 ((~v90(constB158, bitIndex0)) | (~v100(constB158))),
% 49.54/32.68 inference(unit_resolution,[status(thm)],[21570, 557, 21564])).
% 49.54/32.68 tff(21572,plain,
% 49.54/32.68 (~v90(constB158, bitIndex0)),
% 49.54/32.68 inference(unit_resolution,[status(thm)],[21571, 21464])).
% 49.54/32.68 tff(21573,plain,
% 49.54/32.68 (((~![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)))),
% 49.54/32.68 inference(rewrite,[status(thm)],[])).
% 49.54/32.68 tff(21574,plain,
% 49.54/32.68 (((~nextState(constB158, constB159)) | v90(constB158, bitIndex0) | v100(constB159) | (~v90(constB159, bitIndex0))) <=> (v90(constB158, bitIndex0) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, bitIndex0)))),
% 49.54/32.68 inference(rewrite,[status(thm)],[])).
% 49.54/32.68 tff(21575,plain,
% 49.54/32.68 (((~![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))))),
% 49.54/32.68 inference(monotonicity,[status(thm)],[21574])).
% 49.54/32.68 tff(21576,plain,
% 49.54/32.68 (((~![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)))),
% 49.54/32.68 inference(transitivity,[status(thm)],[21575, 21573])).
% 49.54/32.68 tff(21577,plain,
% 49.54/32.68 ((~![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)))),
% 49.54/32.68 inference(quant_inst,[status(thm)],[])).
% 49.54/32.68 tff(21578,plain,
% 49.54/32.68 ((~![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))),
% 49.54/32.68 inference(modus_ponens,[status(thm)],[21577, 21576])).
% 49.54/32.68 tff(21579,plain,
% 49.54/32.68 (v90(constB158, bitIndex0) | v100(constB159) | (~v90(constB159, bitIndex0))),
% 49.54/32.68 inference(unit_resolution,[status(thm)],[21578, 123, 21495])).
% 49.54/32.68 tff(21580,plain,
% 49.54/32.68 (v90(constB158, bitIndex0) | (~v90(constB159, bitIndex0))),
% 49.54/32.68 inference(unit_resolution,[status(thm)],[21579, 21507])).
% 49.54/32.68 tff(21581,plain,
% 49.54/32.68 (~v90(constB159, bitIndex0)),
% 49.54/32.68 inference(unit_resolution,[status(thm)],[21580, 21572])).
% 49.54/32.68 tff(21582,plain,
% 49.54/32.68 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB159, bitIndex0) | (~v90(constB159, bitIndex1)) | v90(constB159, bitIndex2) | v121(constB159))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB159, bitIndex0) | (~v90(constB159, bitIndex1)) | v90(constB159, bitIndex2) | v121(constB159))),
% 49.54/32.68 inference(rewrite,[status(thm)],[])).
% 49.54/32.68 tff(21583,plain,
% 49.54/32.68 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB159, bitIndex0) | (~v90(constB159, bitIndex1)) | v90(constB159, bitIndex2) | v121(constB159))),
% 49.54/32.68 inference(quant_inst,[status(thm)],[])).
% 49.54/32.68 tff(21584,plain,
% 49.54/32.68 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB159, bitIndex0) | (~v90(constB159, bitIndex1)) | v90(constB159, bitIndex2) | v121(constB159)),
% 49.54/32.68 inference(modus_ponens,[status(thm)],[21583, 21582])).
% 49.54/32.68 tff(21585,plain,
% 49.54/32.68 (v121(constB159)),
% 49.54/32.68 inference(unit_resolution,[status(thm)],[21584, 1551, 21581, 21547, 21516])).
% 49.54/32.68 tff(21586,plain,
% 49.54/32.68 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB159) | (~v121(constB159)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB159) | (~v121(constB159)))),
% 49.54/32.68 inference(rewrite,[status(thm)],[])).
% 49.54/32.68 tff(21587,plain,
% 49.54/32.68 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB159) | (~v121(constB159)))),
% 49.54/32.68 inference(quant_inst,[status(thm)],[])).
% 49.54/32.68 tff(21588,plain,
% 49.54/32.68 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB159) | (~v121(constB159))),
% 49.54/32.68 inference(modus_ponens,[status(thm)],[21587, 21586])).
% 49.54/32.68 tff(21589,plain,
% 49.54/32.68 (v117(constB159)),
% 49.54/32.68 inference(unit_resolution,[status(thm)],[21588, 1562, 21585])).
% 49.54/32.69 tff(21590,plain,
% 49.54/32.69 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB159) | (~v117(constB159)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB159) | (~v117(constB159)))),
% 49.54/32.69 inference(rewrite,[status(thm)],[])).
% 49.54/32.69 tff(21591,plain,
% 49.54/32.69 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB159) | (~v117(constB159)))),
% 49.54/32.69 inference(quant_inst,[status(thm)],[])).
% 49.54/32.69 tff(21592,plain,
% 49.54/32.69 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB159) | (~v117(constB159))),
% 49.54/32.69 inference(modus_ponens,[status(thm)],[21591, 21590])).
% 49.54/32.69 tff(21593,plain,
% 49.54/32.69 (v116(constB159)),
% 49.54/32.69 inference(unit_resolution,[status(thm)],[21592, 177, 21589])).
% 49.54/32.69 tff(21594,plain,
% 49.54/32.69 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB159) | (~v116(constB159)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB159) | (~v116(constB159)))),
% 49.54/32.69 inference(rewrite,[status(thm)],[])).
% 49.54/32.69 tff(21595,plain,
% 49.54/32.69 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB159) | (~v116(constB159)))),
% 49.54/32.69 inference(quant_inst,[status(thm)],[])).
% 49.54/32.69 tff(21596,plain,
% 49.54/32.69 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB159) | (~v116(constB159))),
% 49.54/32.69 inference(modus_ponens,[status(thm)],[21595, 21594])).
% 49.54/32.69 tff(21597,plain,
% 49.54/32.69 (v115(constB159)),
% 49.54/32.69 inference(unit_resolution,[status(thm)],[21596, 188, 21593])).
% 49.54/32.69 tff(21598,plain,
% 49.54/32.69 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB159) | (~v115(constB159)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB159) | (~v115(constB159)))),
% 49.54/32.69 inference(rewrite,[status(thm)],[])).
% 49.54/32.69 tff(21599,plain,
% 49.54/32.69 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB159) | (~v115(constB159)))),
% 49.54/32.69 inference(quant_inst,[status(thm)],[])).
% 49.54/32.69 tff(21600,plain,
% 49.54/32.69 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB159) | (~v115(constB159))),
% 49.54/32.69 inference(modus_ponens,[status(thm)],[21599, 21598])).
% 49.54/32.69 tff(21601,plain,
% 49.54/32.69 (v114(constB159)),
% 49.54/32.69 inference(unit_resolution,[status(thm)],[21600, 199, 21597])).
% 49.54/32.69 tff(21602,plain,
% 49.54/32.69 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB159) | (~v114(constB159)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB159) | (~v114(constB159)))),
% 49.54/32.69 inference(rewrite,[status(thm)],[])).
% 49.54/32.69 tff(21603,plain,
% 49.54/32.69 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB159) | (~v114(constB159)))),
% 49.54/32.69 inference(quant_inst,[status(thm)],[])).
% 49.54/32.69 tff(21604,plain,
% 49.54/32.69 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB159) | (~v114(constB159))),
% 49.54/32.69 inference(modus_ponens,[status(thm)],[21603, 21602])).
% 49.54/32.69 tff(21605,plain,
% 49.54/32.69 (v113(constB159)),
% 49.54/32.69 inference(unit_resolution,[status(thm)],[21604, 210, 21601])).
% 49.54/32.69 tff(21606,assumption,(v26(constB159)), introduced(assumption)).
% 49.54/32.69 tff(21607,plain,
% 49.54/32.69 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB159))),
% 49.54/32.69 inference(quant_inst,[status(thm)],[])).
% 49.54/32.69 tff(21608,plain,
% 49.54/32.69 ($false),
% 49.54/32.69 inference(unit_resolution,[status(thm)],[21607, 16, 21606])).
% 49.54/32.69 tff(21609,plain,(~v26(constB159)), inference(lemma,lemma(discharge,[]))).
% 49.54/32.69 tff(21610,plain,
% 49.54/32.69 (((~![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)))),
% 49.54/32.69 inference(rewrite,[status(thm)],[])).
% 49.54/32.69 tff(21611,plain,
% 49.54/32.69 ((v26(constB159) | (~v113(constB159)) | v112(constB159)) <=> (v26(constB159) | v112(constB159) | (~v113(constB159)))),
% 49.54/32.69 inference(rewrite,[status(thm)],[])).
% 49.54/32.69 tff(21612,plain,
% 49.54/32.69 (((~![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))))),
% 49.54/32.69 inference(monotonicity,[status(thm)],[21611])).
% 49.54/32.69 tff(21613,plain,
% 49.54/32.69 (((~![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)))),
% 49.54/32.69 inference(transitivity,[status(thm)],[21612, 21610])).
% 49.54/32.69 tff(21614,plain,
% 49.54/32.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB159) | (~v113(constB159)) | v112(constB159))),
% 49.54/32.69 inference(quant_inst,[status(thm)],[])).
% 49.54/32.69 tff(21615,plain,
% 49.54/32.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB159) | v112(constB159) | (~v113(constB159))),
% 49.54/32.69 inference(modus_ponens,[status(thm)],[21614, 21613])).
% 49.54/32.69 tff(21616,plain,
% 49.54/32.69 (v112(constB159) | (~v113(constB159))),
% 49.54/32.69 inference(unit_resolution,[status(thm)],[21615, 224, 21609])).
% 49.54/32.69 tff(21617,plain,
% 49.54/32.69 (v112(constB159)),
% 49.54/32.69 inference(unit_resolution,[status(thm)],[21616, 21605])).
% 49.54/32.69 tff(21618,plain,
% 49.54/32.69 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB159) | (~v112(constB159)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB159) | (~v112(constB159)))),
% 49.54/32.69 inference(rewrite,[status(thm)],[])).
% 49.54/32.69 tff(21619,plain,
% 49.54/32.69 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB159) | (~v112(constB159)))),
% 49.54/32.69 inference(quant_inst,[status(thm)],[])).
% 49.54/32.69 tff(21620,plain,
% 49.54/32.69 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB159) | (~v112(constB159))),
% 49.54/32.69 inference(modus_ponens,[status(thm)],[21619, 21618])).
% 49.54/32.69 tff(21621,plain,
% 49.54/32.69 (v108(constB159)),
% 49.54/32.69 inference(unit_resolution,[status(thm)],[21620, 236, 21617])).
% 49.54/32.69 tff(21622,plain,
% 49.54/32.69 (nextState(constB159, constB160) <=> nextState(constB159, constB160)),
% 49.54/32.69 inference(rewrite,[status(thm)],[])).
% 49.54/32.69 tff(21623,axiom,(nextState(constB159, constB160)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_159_1')).
% 49.54/32.69 tff(21624,plain,
% 49.54/32.69 (nextState(constB159, constB160)),
% 49.54/32.69 inference(modus_ponens,[status(thm)],[21623, 21622])).
% 49.54/32.69 tff(21625,plain,
% 49.54/32.69 (((~![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)))),
% 49.54/32.69 inference(rewrite,[status(thm)],[])).
% 49.54/32.69 tff(21626,plain,
% 49.54/32.69 (((~nextState(constB159, constB160)) | (~v108(constB159)) | v110(constB160)) <=> ((~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159)))),
% 49.54/32.69 inference(rewrite,[status(thm)],[])).
% 49.54/32.69 tff(21627,plain,
% 49.54/32.69 (((~![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))))),
% 49.54/32.69 inference(monotonicity,[status(thm)],[21626])).
% 49.54/32.69 tff(21628,plain,
% 49.54/32.69 (((~![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)))),
% 49.54/32.69 inference(transitivity,[status(thm)],[21627, 21625])).
% 49.54/32.69 tff(21629,plain,
% 49.54/32.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB159, constB160)) | (~v108(constB159)) | v110(constB160))),
% 49.54/32.69 inference(quant_inst,[status(thm)],[])).
% 49.54/32.69 tff(21630,plain,
% 49.54/32.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159))),
% 49.54/32.69 inference(modus_ponens,[status(thm)],[21629, 21628])).
% 49.54/32.69 tff(21631,plain,
% 49.54/32.69 (v110(constB160) | (~v108(constB159))),
% 49.54/32.69 inference(unit_resolution,[status(thm)],[21630, 253, 21624])).
% 49.54/32.69 tff(21632,plain,
% 49.54/32.69 (v110(constB160)),
% 49.54/32.69 inference(unit_resolution,[status(thm)],[21631, 21621])).
% 49.54/32.69 tff(21633,plain,
% 49.54/32.69 (((~![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)))),
% 49.54/32.69 inference(rewrite,[status(thm)],[])).
% 49.54/32.69 tff(21634,plain,
% 49.54/32.69 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB159) | (~nextState(constB159, constB160)) | (~v104(constB160)))),
% 49.54/32.69 inference(quant_inst,[status(thm)],[])).
% 49.54/32.69 tff(21635,plain,
% 49.54/32.69 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB159) | (~nextState(constB159, constB160)) | (~v104(constB160))),
% 49.54/32.69 inference(modus_ponens,[status(thm)],[21634, 21633])).
% 49.54/32.69 tff(21636,plain,
% 49.54/32.69 (~v104(constB160)),
% 49.54/32.69 inference(unit_resolution,[status(thm)],[21635, 271, 21624, 21492])).
% 49.54/32.69 tff(21637,plain,
% 49.54/32.69 (((~![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))),
% 49.54/32.69 inference(rewrite,[status(thm)],[])).
% 49.54/32.69 tff(21638,plain,
% 49.54/32.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB159, constB160)) | v102(constB160) | v104(constB160))),
% 49.54/32.69 inference(quant_inst,[status(thm)],[])).
% 49.54/32.69 tff(21639,plain,
% 49.54/32.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB159, constB160)) | v102(constB160) | v104(constB160)),
% 49.54/32.69 inference(modus_ponens,[status(thm)],[21638, 21637])).
% 49.54/32.69 tff(21640,plain,
% 49.54/32.69 (v102(constB160) | v104(constB160)),
% 49.54/32.69 inference(unit_resolution,[status(thm)],[21639, 285, 21624])).
% 49.54/32.69 tff(21641,plain,
% 49.54/32.69 (v102(constB160)),
% 49.54/32.69 inference(unit_resolution,[status(thm)],[21640, 21636])).
% 49.54/32.69 tff(21642,plain,
% 49.54/32.69 (v1(constB160) <=> v1(constB160)),
% 49.54/32.69 inference(rewrite,[status(thm)],[])).
% 49.54/32.69 tff(21643,axiom,(v1(constB160)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_160_1')).
% 49.54/32.69 tff(21644,plain,
% 49.54/32.69 (v1(constB160)),
% 49.54/32.69 inference(modus_ponens,[status(thm)],[21643, 21642])).
% 49.54/32.69 tff(21645,plain,
% 49.54/32.69 (((~![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)))),
% 49.54/32.69 inference(rewrite,[status(thm)],[])).
% 49.54/32.69 tff(21646,plain,
% 49.54/32.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB159, constB160)) | v101(constB160) | (~v102(constB160)) | (~v1(constB160)))),
% 49.54/32.69 inference(quant_inst,[status(thm)],[])).
% 49.54/32.69 tff(21647,plain,
% 49.54/32.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB159, constB160)) | v101(constB160) | (~v102(constB160)) | (~v1(constB160))),
% 49.54/32.69 inference(modus_ponens,[status(thm)],[21646, 21645])).
% 49.54/32.69 tff(21648,plain,
% 49.54/32.69 (v101(constB160) | (~v102(constB160))),
% 49.54/32.69 inference(unit_resolution,[status(thm)],[21647, 303, 21624, 21644])).
% 49.54/32.69 tff(21649,plain,
% 49.54/32.69 (v101(constB160)),
% 49.54/32.69 inference(unit_resolution,[status(thm)],[21648, 21641])).
% 49.54/32.69 tff(21650,plain,
% 49.54/32.69 (((~![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)))),
% 49.54/32.69 inference(rewrite,[status(thm)],[])).
% 49.54/32.69 tff(21651,plain,
% 49.54/32.69 (((~nextState(constB159, constB160)) | (~v101(constB160)) | (~v110(constB160)) | v100(constB160)) <=> ((~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160)))),
% 49.54/32.69 inference(rewrite,[status(thm)],[])).
% 49.54/32.69 tff(21652,plain,
% 49.54/32.69 (((~![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))))),
% 49.54/32.69 inference(monotonicity,[status(thm)],[21651])).
% 49.54/32.69 tff(21653,plain,
% 49.54/32.69 (((~![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)))),
% 49.54/32.69 inference(transitivity,[status(thm)],[21652, 21650])).
% 49.54/32.69 tff(21654,plain,
% 49.54/32.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB159, constB160)) | (~v101(constB160)) | (~v110(constB160)) | v100(constB160))),
% 49.54/32.69 inference(quant_inst,[status(thm)],[])).
% 49.54/32.69 tff(21655,plain,
% 49.54/32.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160))),
% 49.54/32.69 inference(modus_ponens,[status(thm)],[21654, 21653])).
% 49.54/32.69 tff(21656,plain,
% 49.54/32.69 (v100(constB160) | (~v101(constB160)) | (~v110(constB160))),
% 49.54/32.69 inference(unit_resolution,[status(thm)],[21655, 318, 21624])).
% 49.54/32.69 tff(21657,plain,
% 49.54/32.69 (v100(constB160) | (~v110(constB160))),
% 49.54/32.69 inference(unit_resolution,[status(thm)],[21656, 21649])).
% 49.54/32.69 tff(21658,plain,
% 49.54/32.69 (v100(constB160)),
% 49.54/32.69 inference(unit_resolution,[status(thm)],[21657, 21632])).
% 49.54/32.69 tff(21659,plain,
% 49.54/32.69 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB159)) | (~v130(constB159, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB159)) | (~v130(constB159, bitIndex2)))),
% 49.54/32.69 inference(rewrite,[status(thm)],[])).
% 49.54/32.69 tff(21660,plain,
% 49.54/32.69 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB159)) | (~v130(constB159, bitIndex2)))),
% 49.54/32.69 inference(quant_inst,[status(thm)],[])).
% 49.54/32.69 tff(21661,plain,
% 49.54/32.69 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB159)) | (~v130(constB159, bitIndex2))),
% 49.54/32.69 inference(modus_ponens,[status(thm)],[21660, 21659])).
% 49.54/32.69 tff(21662,plain,
% 49.54/32.69 (~v130(constB159, bitIndex2)),
% 49.54/32.69 inference(unit_resolution,[status(thm)],[21661, 1645, 21585])).
% 49.54/32.69 tff(21663,plain,
% 49.54/32.69 (((~![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))),
% 49.54/32.69 inference(rewrite,[status(thm)],[])).
% 49.54/32.69 tff(21664,plain,
% 49.54/32.69 ((v26(constB159) | v130(constB159, bitIndex2) | (~v127(constB159, bitIndex2))) <=> ((~v127(constB159, bitIndex2)) | v26(constB159) | v130(constB159, bitIndex2))),
% 49.54/32.69 inference(rewrite,[status(thm)],[])).
% 49.54/32.69 tff(21665,plain,
% 49.54/32.69 (((~![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)))),
% 49.54/32.69 inference(monotonicity,[status(thm)],[21664])).
% 49.54/32.69 tff(21666,plain,
% 49.54/32.69 (((~![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))),
% 49.54/32.69 inference(transitivity,[status(thm)],[21665, 21663])).
% 49.54/32.69 tff(21667,plain,
% 49.54/32.69 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB159) | v130(constB159, bitIndex2) | (~v127(constB159, bitIndex2)))),
% 49.54/32.69 inference(quant_inst,[status(thm)],[])).
% 49.54/32.69 tff(21668,plain,
% 49.54/32.69 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB159, bitIndex2)) | v26(constB159) | v130(constB159, bitIndex2)),
% 49.54/32.69 inference(modus_ponens,[status(thm)],[21667, 21666])).
% 49.54/32.69 tff(21669,plain,
% 49.54/32.69 ((~v127(constB159, bitIndex2)) | v130(constB159, bitIndex2)),
% 49.54/32.69 inference(unit_resolution,[status(thm)],[21668, 1210, 21609])).
% 49.54/32.69 tff(21670,plain,
% 49.54/32.69 (~v127(constB159, bitIndex2)),
% 49.54/32.69 inference(unit_resolution,[status(thm)],[21669, 21662])).
% 49.54/32.69 tff(21671,plain,
% 49.54/32.69 (((~![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)))),
% 49.54/32.69 inference(rewrite,[status(thm)],[])).
% 49.54/32.69 tff(21672,plain,
% 49.54/32.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB159, constB160)) | v127(constB159, bitIndex2) | (~v129(constB160, bitIndex2)))),
% 49.54/32.69 inference(quant_inst,[status(thm)],[])).
% 49.54/32.69 tff(21673,plain,
% 49.54/32.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB159, constB160)) | v127(constB159, bitIndex2) | (~v129(constB160, bitIndex2))),
% 49.54/32.69 inference(modus_ponens,[status(thm)],[21672, 21671])).
% 49.54/32.69 tff(21674,plain,
% 49.54/32.69 (v127(constB159, bitIndex2) | (~v129(constB160, bitIndex2))),
% 49.54/32.69 inference(unit_resolution,[status(thm)],[21673, 1243, 21624])).
% 49.54/32.69 tff(21675,plain,
% 49.54/32.69 (~v129(constB160, bitIndex2)),
% 49.54/32.69 inference(unit_resolution,[status(thm)],[21674, 21670])).
% 49.54/32.69 tff(21676,plain,
% 49.54/32.69 (((~![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)))),
% 49.54/32.69 inference(rewrite,[status(thm)],[])).
% 49.54/32.69 tff(21677,plain,
% 49.54/32.69 (((~v90(constB160, bitIndex2)) | (~v100(constB160)) | v129(constB160, bitIndex2)) <=> ((~v90(constB160, bitIndex2)) | v129(constB160, bitIndex2) | (~v100(constB160)))),
% 49.54/32.69 inference(rewrite,[status(thm)],[])).
% 49.54/32.69 tff(21678,plain,
% 49.54/32.69 (((~![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))))),
% 49.54/32.69 inference(monotonicity,[status(thm)],[21677])).
% 49.54/32.69 tff(21679,plain,
% 49.54/32.69 (((~![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)))),
% 49.54/32.69 inference(transitivity,[status(thm)],[21678, 21676])).
% 49.54/32.69 tff(21680,plain,
% 49.54/32.69 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB160, bitIndex2)) | (~v100(constB160)) | v129(constB160, bitIndex2))),
% 49.54/32.69 inference(quant_inst,[status(thm)],[])).
% 49.54/32.69 tff(21681,plain,
% 49.54/32.69 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB160, bitIndex2)) | v129(constB160, bitIndex2) | (~v100(constB160))),
% 49.54/32.69 inference(modus_ponens,[status(thm)],[21680, 21679])).
% 49.54/32.69 tff(21682,plain,
% 49.54/32.69 ((~v90(constB160, bitIndex2)) | (~v100(constB160))),
% 49.54/32.69 inference(unit_resolution,[status(thm)],[21681, 1258, 21675])).
% 49.54/32.69 tff(21683,plain,
% 49.54/32.69 (~v90(constB160, bitIndex2)),
% 49.54/32.69 inference(unit_resolution,[status(thm)],[21682, 21658])).
% 49.54/32.69 tff(21684,plain,
% 49.54/32.69 ((~v1(constB161)) <=> (~v1(constB161))),
% 49.54/32.69 inference(rewrite,[status(thm)],[])).
% 49.54/32.69 tff(21685,axiom,(~v1(constB161)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_161_1_1')).
% 49.54/32.69 tff(21686,plain,
% 49.54/32.69 (~v1(constB161)),
% 49.54/32.69 inference(modus_ponens,[status(thm)],[21685, 21684])).
% 49.54/32.69 tff(21687,plain,
% 49.54/32.69 (nextState(constB160, constB161) <=> nextState(constB160, constB161)),
% 49.54/32.69 inference(rewrite,[status(thm)],[])).
% 49.54/32.69 tff(21688,axiom,(nextState(constB160, constB161)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_160_1')).
% 49.54/32.69 tff(21689,plain,
% 49.54/32.69 (nextState(constB160, constB161)),
% 49.54/32.69 inference(modus_ponens,[status(thm)],[21688, 21687])).
% 49.54/32.69 tff(21690,plain,
% 49.54/32.69 (((~![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)))),
% 49.54/32.69 inference(rewrite,[status(thm)],[])).
% 49.54/32.69 tff(21691,plain,
% 49.54/32.69 (((~nextState(constB160, constB161)) | (~v101(constB161)) | v1(constB161)) <=> (v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161)))),
% 49.54/32.69 inference(rewrite,[status(thm)],[])).
% 49.54/32.69 tff(21692,plain,
% 49.54/32.69 (((~![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))))),
% 49.54/32.69 inference(monotonicity,[status(thm)],[21691])).
% 49.54/32.69 tff(21693,plain,
% 49.54/32.69 (((~![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)))),
% 49.54/32.69 inference(transitivity,[status(thm)],[21692, 21690])).
% 49.54/32.69 tff(21694,plain,
% 49.54/32.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB160, constB161)) | (~v101(constB161)) | v1(constB161))),
% 49.54/32.69 inference(quant_inst,[status(thm)],[])).
% 49.54/32.69 tff(21695,plain,
% 49.54/32.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161))),
% 49.54/32.69 inference(modus_ponens,[status(thm)],[21694, 21693])).
% 49.54/32.69 tff(21696,plain,
% 49.54/32.69 (~v101(constB161)),
% 49.54/32.69 inference(unit_resolution,[status(thm)],[21695, 49, 21689, 21686])).
% 49.54/32.69 tff(21697,plain,
% 49.54/32.69 (((~![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)))),
% 49.54/32.69 inference(rewrite,[status(thm)],[])).
% 49.54/32.69 tff(21698,plain,
% 49.54/32.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB160, constB161)) | v101(constB161) | (~v100(constB161)))),
% 49.54/32.69 inference(quant_inst,[status(thm)],[])).
% 49.54/32.69 tff(21699,plain,
% 49.54/32.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB160, constB161)) | v101(constB161) | (~v100(constB161))),
% 49.54/32.69 inference(modus_ponens,[status(thm)],[21698, 21697])).
% 49.54/32.69 tff(21700,plain,
% 49.54/32.69 (v101(constB161) | (~v100(constB161))),
% 49.54/32.69 inference(unit_resolution,[status(thm)],[21699, 66, 21689])).
% 49.54/32.69 tff(21701,plain,
% 49.54/32.69 (~v100(constB161)),
% 49.54/32.69 inference(unit_resolution,[status(thm)],[21700, 21696])).
% 49.54/32.69 tff(21702,plain,
% 49.54/32.69 (((~![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)))),
% 49.54/32.69 inference(rewrite,[status(thm)],[])).
% 49.54/32.69 tff(21703,plain,
% 49.54/32.69 (((~nextState(constB160, constB161)) | v90(constB160, bitIndex2) | v100(constB161) | (~v90(constB161, bitIndex2))) <=> (v90(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, bitIndex2)))),
% 49.54/32.69 inference(rewrite,[status(thm)],[])).
% 49.54/32.69 tff(21704,plain,
% 49.54/32.69 (((~![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))))),
% 49.54/32.69 inference(monotonicity,[status(thm)],[21703])).
% 49.54/32.69 tff(21705,plain,
% 49.54/32.69 (((~![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)))),
% 49.54/32.69 inference(transitivity,[status(thm)],[21704, 21702])).
% 49.54/32.69 tff(21706,plain,
% 49.54/32.69 ((~![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)))),
% 49.54/32.69 inference(quant_inst,[status(thm)],[])).
% 49.54/32.69 tff(21707,plain,
% 49.54/32.69 ((~![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))),
% 49.54/32.69 inference(modus_ponens,[status(thm)],[21706, 21705])).
% 49.54/32.69 tff(21708,plain,
% 49.54/32.69 (v90(constB160, bitIndex2) | v100(constB161) | (~v90(constB161, bitIndex2))),
% 49.54/32.69 inference(unit_resolution,[status(thm)],[21707, 81, 21689])).
% 49.54/32.69 tff(21709,plain,
% 49.54/32.69 (v90(constB160, bitIndex2) | (~v90(constB161, bitIndex2))),
% 49.54/32.69 inference(unit_resolution,[status(thm)],[21708, 21701])).
% 49.54/32.69 tff(21710,plain,
% 49.54/32.69 (~v90(constB161, bitIndex2)),
% 49.54/32.69 inference(unit_resolution,[status(thm)],[21709, 21683])).
% 49.54/32.69 tff(21711,plain,
% 49.54/32.69 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB159)) | v130(constB159, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB159)) | v130(constB159, bitIndex1))),
% 49.54/32.69 inference(rewrite,[status(thm)],[])).
% 49.54/32.69 tff(21712,plain,
% 49.54/32.69 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB159)) | v130(constB159, bitIndex1))),
% 49.54/32.69 inference(quant_inst,[status(thm)],[])).
% 49.54/32.69 tff(21713,plain,
% 49.54/32.69 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB159)) | v130(constB159, bitIndex1)),
% 49.54/32.69 inference(modus_ponens,[status(thm)],[21712, 21711])).
% 49.54/32.69 tff(21714,plain,
% 49.54/32.69 (v130(constB159, bitIndex1)),
% 49.54/32.69 inference(unit_resolution,[status(thm)],[21713, 1707, 21585])).
% 49.54/32.69 tff(21715,plain,
% 49.54/32.69 (((~![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))),
% 49.54/32.69 inference(rewrite,[status(thm)],[])).
% 49.54/32.69 tff(21716,plain,
% 49.54/32.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB159) | (~v130(constB159, bitIndex1)) | v127(constB159, bitIndex1))),
% 49.54/32.69 inference(quant_inst,[status(thm)],[])).
% 49.54/32.69 tff(21717,plain,
% 49.54/32.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB159) | (~v130(constB159, bitIndex1)) | v127(constB159, bitIndex1)),
% 49.54/32.69 inference(modus_ponens,[status(thm)],[21716, 21715])).
% 49.54/32.69 tff(21718,plain,
% 49.54/32.69 ((~v130(constB159, bitIndex1)) | v127(constB159, bitIndex1)),
% 49.54/32.69 inference(unit_resolution,[status(thm)],[21717, 681, 21609])).
% 49.54/32.69 tff(21719,plain,
% 49.54/32.69 (v127(constB159, bitIndex1)),
% 49.54/32.69 inference(unit_resolution,[status(thm)],[21718, 21714])).
% 49.54/32.69 tff(21720,plain,
% 49.54/32.69 (((~![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))),
% 49.54/32.69 inference(rewrite,[status(thm)],[])).
% 49.54/32.69 tff(21721,plain,
% 49.54/32.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB159, constB160)) | (~v127(constB159, bitIndex1)) | v129(constB160, bitIndex1))),
% 49.54/32.69 inference(quant_inst,[status(thm)],[])).
% 49.54/32.69 tff(21722,plain,
% 49.54/32.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB159, constB160)) | (~v127(constB159, bitIndex1)) | v129(constB160, bitIndex1)),
% 49.54/32.69 inference(modus_ponens,[status(thm)],[21721, 21720])).
% 49.54/32.69 tff(21723,plain,
% 49.54/32.69 ((~v127(constB159, bitIndex1)) | v129(constB160, bitIndex1)),
% 49.54/32.69 inference(unit_resolution,[status(thm)],[21722, 696, 21624])).
% 49.54/32.69 tff(21724,plain,
% 49.54/32.69 (v129(constB160, bitIndex1)),
% 49.54/32.69 inference(unit_resolution,[status(thm)],[21723, 21719])).
% 49.54/32.69 tff(21725,plain,
% 49.54/32.69 (((~![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)))),
% 49.54/32.69 inference(rewrite,[status(thm)],[])).
% 49.54/32.69 tff(21726,plain,
% 49.65/32.70 ((v90(constB160, bitIndex1) | (~v100(constB160)) | (~v129(constB160, bitIndex1))) <=> (v90(constB160, bitIndex1) | (~v129(constB160, bitIndex1)) | (~v100(constB160)))),
% 49.65/32.70 inference(rewrite,[status(thm)],[])).
% 49.65/32.70 tff(21727,plain,
% 49.65/32.70 (((~![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))))),
% 49.65/32.70 inference(monotonicity,[status(thm)],[21726])).
% 49.65/32.70 tff(21728,plain,
% 49.65/32.70 (((~![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)))),
% 49.65/32.70 inference(transitivity,[status(thm)],[21727, 21725])).
% 49.65/32.70 tff(21729,plain,
% 49.65/32.70 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB160, bitIndex1) | (~v100(constB160)) | (~v129(constB160, bitIndex1)))),
% 49.65/32.70 inference(quant_inst,[status(thm)],[])).
% 49.65/32.70 tff(21730,plain,
% 49.65/32.70 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB160, bitIndex1) | (~v129(constB160, bitIndex1)) | (~v100(constB160))),
% 49.65/32.70 inference(modus_ponens,[status(thm)],[21729, 21728])).
% 49.65/32.70 tff(21731,plain,
% 49.65/32.70 (v90(constB160, bitIndex1) | (~v100(constB160))),
% 49.65/32.70 inference(unit_resolution,[status(thm)],[21730, 711, 21724])).
% 49.65/32.70 tff(21732,plain,
% 49.65/32.70 (v90(constB160, bitIndex1)),
% 49.65/32.70 inference(unit_resolution,[status(thm)],[21731, 21658])).
% 49.65/32.70 tff(21733,plain,
% 49.65/32.70 (((~![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))),
% 49.65/32.70 inference(rewrite,[status(thm)],[])).
% 49.65/32.70 tff(21734,plain,
% 49.65/32.70 (((~nextState(constB160, constB161)) | (~v90(constB160, bitIndex1)) | v100(constB161) | v90(constB161, bitIndex1)) <=> ((~v90(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex1))),
% 49.65/32.70 inference(rewrite,[status(thm)],[])).
% 49.65/32.70 tff(21735,plain,
% 49.65/32.70 (((~![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)))),
% 49.65/32.70 inference(monotonicity,[status(thm)],[21734])).
% 49.65/32.70 tff(21736,plain,
% 49.65/32.70 (((~![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))),
% 49.65/32.70 inference(transitivity,[status(thm)],[21735, 21733])).
% 49.65/32.70 tff(21737,plain,
% 49.65/32.70 ((~![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))),
% 49.65/32.70 inference(quant_inst,[status(thm)],[])).
% 49.65/32.70 tff(21738,plain,
% 49.65/32.70 ((~![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)),
% 49.65/32.70 inference(modus_ponens,[status(thm)],[21737, 21736])).
% 49.65/32.70 tff(21739,plain,
% 49.65/32.70 ((~v90(constB160, bitIndex1)) | v100(constB161) | v90(constB161, bitIndex1)),
% 49.65/32.70 inference(unit_resolution,[status(thm)],[21738, 747, 21689])).
% 49.65/32.70 tff(21740,plain,
% 49.65/32.70 ((~v90(constB160, bitIndex1)) | v90(constB161, bitIndex1)),
% 49.65/32.70 inference(unit_resolution,[status(thm)],[21739, 21701])).
% 49.65/32.70 tff(21741,plain,
% 49.65/32.70 (v90(constB161, bitIndex1)),
% 49.65/32.70 inference(unit_resolution,[status(thm)],[21740, 21732])).
% 49.65/32.70 tff(21742,plain,
% 49.65/32.70 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB159)) | v130(constB159, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB159)) | v130(constB159, bitIndex0))),
% 49.65/32.70 inference(rewrite,[status(thm)],[])).
% 49.65/32.70 tff(21743,plain,
% 49.65/32.70 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB159)) | v130(constB159, bitIndex0))),
% 49.65/32.70 inference(quant_inst,[status(thm)],[])).
% 49.65/32.70 tff(21744,plain,
% 49.65/32.70 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB159)) | v130(constB159, bitIndex0)),
% 49.65/32.70 inference(modus_ponens,[status(thm)],[21743, 21742])).
% 49.65/32.70 tff(21745,plain,
% 49.65/32.70 (v130(constB159, bitIndex0)),
% 49.65/32.70 inference(unit_resolution,[status(thm)],[21744, 1748, 21585])).
% 49.65/32.70 tff(21746,plain,
% 49.65/32.70 (((~![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))),
% 49.65/32.70 inference(rewrite,[status(thm)],[])).
% 49.65/32.70 tff(21747,plain,
% 49.65/32.70 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB159) | (~v130(constB159, bitIndex0)) | v127(constB159, bitIndex0))),
% 49.65/32.70 inference(quant_inst,[status(thm)],[])).
% 49.65/32.70 tff(21748,plain,
% 49.65/32.70 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB159) | (~v130(constB159, bitIndex0)) | v127(constB159, bitIndex0)),
% 49.65/32.70 inference(modus_ponens,[status(thm)],[21747, 21746])).
% 49.65/32.70 tff(21749,plain,
% 49.65/32.70 ((~v130(constB159, bitIndex0)) | v127(constB159, bitIndex0)),
% 49.65/32.70 inference(unit_resolution,[status(thm)],[21748, 926, 21609])).
% 49.65/32.70 tff(21750,plain,
% 49.65/32.70 (v127(constB159, bitIndex0)),
% 49.65/32.70 inference(unit_resolution,[status(thm)],[21749, 21745])).
% 49.65/32.70 tff(21751,plain,
% 49.65/32.70 (((~![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))),
% 49.65/32.70 inference(rewrite,[status(thm)],[])).
% 49.65/32.70 tff(21752,plain,
% 49.65/32.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB159, constB160)) | (~v127(constB159, bitIndex0)) | v129(constB160, bitIndex0))),
% 49.65/32.70 inference(quant_inst,[status(thm)],[])).
% 49.65/32.70 tff(21753,plain,
% 49.65/32.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB159, constB160)) | (~v127(constB159, bitIndex0)) | v129(constB160, bitIndex0)),
% 49.65/32.70 inference(modus_ponens,[status(thm)],[21752, 21751])).
% 49.65/32.70 tff(21754,plain,
% 49.65/32.70 ((~v127(constB159, bitIndex0)) | v129(constB160, bitIndex0)),
% 49.65/32.70 inference(unit_resolution,[status(thm)],[21753, 944, 21624])).
% 49.65/32.70 tff(21755,plain,
% 49.65/32.70 (v129(constB160, bitIndex0)),
% 49.65/32.70 inference(unit_resolution,[status(thm)],[21754, 21750])).
% 49.65/32.70 tff(21756,plain,
% 49.65/32.70 (((~![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)))),
% 49.65/32.70 inference(rewrite,[status(thm)],[])).
% 49.65/32.70 tff(21757,plain,
% 49.65/32.70 ((v90(constB160, bitIndex0) | (~v100(constB160)) | (~v129(constB160, bitIndex0))) <=> (v90(constB160, bitIndex0) | (~v129(constB160, bitIndex0)) | (~v100(constB160)))),
% 49.65/32.70 inference(rewrite,[status(thm)],[])).
% 49.65/32.70 tff(21758,plain,
% 49.65/32.70 (((~![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))))),
% 49.65/32.70 inference(monotonicity,[status(thm)],[21757])).
% 49.65/32.70 tff(21759,plain,
% 49.65/32.70 (((~![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)))),
% 49.65/32.70 inference(transitivity,[status(thm)],[21758, 21756])).
% 49.65/32.70 tff(21760,plain,
% 49.65/32.70 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB160, bitIndex0) | (~v100(constB160)) | (~v129(constB160, bitIndex0)))),
% 49.65/32.70 inference(quant_inst,[status(thm)],[])).
% 49.65/32.70 tff(21761,plain,
% 49.65/32.70 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB160, bitIndex0) | (~v129(constB160, bitIndex0)) | (~v100(constB160))),
% 49.65/32.70 inference(modus_ponens,[status(thm)],[21760, 21759])).
% 49.65/32.70 tff(21762,plain,
% 49.65/32.70 (v90(constB160, bitIndex0) | (~v100(constB160))),
% 49.65/32.70 inference(unit_resolution,[status(thm)],[21761, 1088, 21755])).
% 49.65/32.70 tff(21763,plain,
% 49.65/32.70 (v90(constB160, bitIndex0)),
% 49.65/32.70 inference(unit_resolution,[status(thm)],[21762, 21658])).
% 49.65/32.70 tff(21764,plain,
% 49.65/32.70 (((~![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))),
% 49.65/32.70 inference(rewrite,[status(thm)],[])).
% 49.65/32.70 tff(21765,plain,
% 49.65/32.70 (((~nextState(constB160, constB161)) | (~v90(constB160, bitIndex0)) | v100(constB161) | v90(constB161, bitIndex0)) <=> ((~v90(constB160, bitIndex0)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, bitIndex0))),
% 49.65/32.70 inference(rewrite,[status(thm)],[])).
% 49.65/32.70 tff(21766,plain,
% 49.65/32.70 (((~![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)))),
% 49.65/32.70 inference(monotonicity,[status(thm)],[21765])).
% 49.65/32.70 tff(21767,plain,
% 49.65/32.70 (((~![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))),
% 49.65/32.70 inference(transitivity,[status(thm)],[21766, 21764])).
% 49.65/32.70 tff(21768,plain,
% 49.65/32.70 ((~![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))),
% 49.65/32.70 inference(quant_inst,[status(thm)],[])).
% 49.65/32.70 tff(21769,plain,
% 49.65/32.70 ((~![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)),
% 49.65/32.70 inference(modus_ponens,[status(thm)],[21768, 21767])).
% 49.65/32.70 tff(21770,plain,
% 49.65/32.70 ((~v90(constB160, bitIndex0)) | v100(constB161) | v90(constB161, bitIndex0)),
% 49.65/32.70 inference(unit_resolution,[status(thm)],[21769, 1124, 21689])).
% 49.65/32.70 tff(21771,plain,
% 49.65/32.70 ((~v90(constB160, bitIndex0)) | v90(constB161, bitIndex0)),
% 49.65/32.70 inference(unit_resolution,[status(thm)],[21770, 21701])).
% 49.65/32.70 tff(21772,plain,
% 49.65/32.70 (v90(constB161, bitIndex0)),
% 49.65/32.70 inference(unit_resolution,[status(thm)],[21771, 21763])).
% 49.65/32.70 tff(21773,plain,
% 49.65/32.70 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB161, bitIndex0)) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex2) | v122(constB161))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB161, bitIndex0)) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex2) | v122(constB161))),
% 49.65/32.70 inference(rewrite,[status(thm)],[])).
% 49.65/32.70 tff(21774,plain,
% 49.65/32.70 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB161, bitIndex0)) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex2) | v122(constB161))),
% 49.65/32.70 inference(quant_inst,[status(thm)],[])).
% 49.65/32.70 tff(21775,plain,
% 49.65/32.70 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB161, bitIndex0)) | (~v90(constB161, bitIndex1)) | v90(constB161, bitIndex2) | v122(constB161)),
% 49.65/32.70 inference(modus_ponens,[status(thm)],[21774, 21773])).
% 49.65/32.70 tff(21776,plain,
% 49.65/32.70 (v122(constB161)),
% 49.65/32.70 inference(unit_resolution,[status(thm)],[21775, 1789, 21772, 21741, 21710])).
% 49.65/32.70 tff(21777,plain,
% 49.65/32.70 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB161) | (~v122(constB161)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB161) | (~v122(constB161)))),
% 49.65/32.70 inference(rewrite,[status(thm)],[])).
% 49.65/32.70 tff(21778,plain,
% 49.65/32.70 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB161) | (~v122(constB161)))),
% 49.65/32.70 inference(quant_inst,[status(thm)],[])).
% 49.65/32.70 tff(21779,plain,
% 49.65/32.70 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB161) | (~v122(constB161))),
% 49.65/32.70 inference(modus_ponens,[status(thm)],[21778, 21777])).
% 49.65/32.70 tff(21780,plain,
% 49.65/32.70 (v116(constB161)),
% 49.65/32.70 inference(unit_resolution,[status(thm)],[21779, 1800, 21776])).
% 49.65/32.70 tff(21781,plain,
% 49.65/32.70 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB161) | (~v116(constB161)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB161) | (~v116(constB161)))),
% 49.65/32.70 inference(rewrite,[status(thm)],[])).
% 49.65/32.70 tff(21782,plain,
% 49.65/32.70 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB161) | (~v116(constB161)))),
% 49.65/32.70 inference(quant_inst,[status(thm)],[])).
% 49.65/32.70 tff(21783,plain,
% 49.65/32.70 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB161) | (~v116(constB161))),
% 49.65/32.70 inference(modus_ponens,[status(thm)],[21782, 21781])).
% 49.65/32.70 tff(21784,plain,
% 49.65/32.70 (v115(constB161)),
% 49.65/32.70 inference(unit_resolution,[status(thm)],[21783, 188, 21780])).
% 49.65/32.70 tff(21785,plain,
% 49.65/32.70 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB161) | (~v115(constB161)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB161) | (~v115(constB161)))),
% 49.65/32.70 inference(rewrite,[status(thm)],[])).
% 49.65/32.70 tff(21786,plain,
% 49.65/32.70 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB161) | (~v115(constB161)))),
% 49.65/32.70 inference(quant_inst,[status(thm)],[])).
% 49.65/32.70 tff(21787,plain,
% 49.65/32.70 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB161) | (~v115(constB161))),
% 49.65/32.70 inference(modus_ponens,[status(thm)],[21786, 21785])).
% 49.65/32.70 tff(21788,plain,
% 49.65/32.70 (v114(constB161)),
% 49.65/32.70 inference(unit_resolution,[status(thm)],[21787, 199, 21784])).
% 49.65/32.70 tff(21789,plain,
% 49.65/32.70 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB161) | (~v114(constB161)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB161) | (~v114(constB161)))),
% 49.65/32.70 inference(rewrite,[status(thm)],[])).
% 49.65/32.70 tff(21790,plain,
% 49.65/32.70 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB161) | (~v114(constB161)))),
% 49.65/32.70 inference(quant_inst,[status(thm)],[])).
% 49.65/32.70 tff(21791,plain,
% 49.65/32.70 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB161) | (~v114(constB161))),
% 49.65/32.70 inference(modus_ponens,[status(thm)],[21790, 21789])).
% 49.65/32.70 tff(21792,plain,
% 49.65/32.70 (v113(constB161)),
% 49.65/32.70 inference(unit_resolution,[status(thm)],[21791, 210, 21788])).
% 49.65/32.70 tff(21793,assumption,(v26(constB161)), introduced(assumption)).
% 49.65/32.70 tff(21794,plain,
% 49.65/32.70 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB161))),
% 49.65/32.70 inference(quant_inst,[status(thm)],[])).
% 49.65/32.70 tff(21795,plain,
% 49.65/32.70 ($false),
% 49.65/32.70 inference(unit_resolution,[status(thm)],[21794, 16, 21793])).
% 49.65/32.70 tff(21796,plain,(~v26(constB161)), inference(lemma,lemma(discharge,[]))).
% 49.65/32.70 tff(21797,plain,
% 49.65/32.70 (((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB161) | (~v113(constB161)) | v112(constB161))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB161) | (~v113(constB161)) | v112(constB161))),
% 49.65/32.70 inference(rewrite,[status(thm)],[])).
% 49.65/32.70 tff(21798,plain,
% 49.65/32.70 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB161) | (~v113(constB161)) | v112(constB161))),
% 49.65/32.70 inference(quant_inst,[status(thm)],[])).
% 49.65/32.70 tff(21799,plain,
% 49.65/32.70 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB161) | (~v113(constB161)) | v112(constB161)),
% 49.65/32.70 inference(modus_ponens,[status(thm)],[21798, 21797])).
% 49.65/32.70 tff(21800,plain,
% 49.65/32.70 ((~v113(constB161)) | v112(constB161)),
% 49.65/32.70 inference(unit_resolution,[status(thm)],[21799, 224, 21796])).
% 49.65/32.70 tff(21801,plain,
% 49.65/32.70 (v112(constB161)),
% 49.65/32.70 inference(unit_resolution,[status(thm)],[21800, 21792])).
% 49.65/32.70 tff(21802,plain,
% 49.65/32.70 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB161) | (~v112(constB161)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB161) | (~v112(constB161)))),
% 49.65/32.70 inference(rewrite,[status(thm)],[])).
% 49.65/32.70 tff(21803,plain,
% 49.65/32.70 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB161) | (~v112(constB161)))),
% 49.65/32.70 inference(quant_inst,[status(thm)],[])).
% 49.65/32.70 tff(21804,plain,
% 49.65/32.70 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB161) | (~v112(constB161))),
% 49.65/32.70 inference(modus_ponens,[status(thm)],[21803, 21802])).
% 49.65/32.70 tff(21805,plain,
% 49.65/32.70 (v108(constB161)),
% 49.65/32.70 inference(unit_resolution,[status(thm)],[21804, 236, 21801])).
% 49.65/32.70 tff(21806,plain,
% 49.65/32.70 (nextState(constB161, constB162) <=> nextState(constB161, constB162)),
% 49.65/32.70 inference(rewrite,[status(thm)],[])).
% 49.65/32.70 tff(21807,axiom,(nextState(constB161, constB162)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_161_1')).
% 49.65/32.70 tff(21808,plain,
% 49.65/32.70 (nextState(constB161, constB162)),
% 49.65/32.70 inference(modus_ponens,[status(thm)],[21807, 21806])).
% 49.65/32.70 tff(21809,plain,
% 49.65/32.70 (((~![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)))),
% 49.65/32.70 inference(rewrite,[status(thm)],[])).
% 49.65/32.70 tff(21810,plain,
% 49.65/32.70 (((~nextState(constB161, constB162)) | (~v108(constB161)) | v110(constB162)) <=> ((~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161)))),
% 49.65/32.70 inference(rewrite,[status(thm)],[])).
% 49.65/32.70 tff(21811,plain,
% 49.65/32.70 (((~![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))))),
% 49.65/32.70 inference(monotonicity,[status(thm)],[21810])).
% 49.65/32.70 tff(21812,plain,
% 49.65/32.70 (((~![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)))),
% 49.65/32.70 inference(transitivity,[status(thm)],[21811, 21809])).
% 49.65/32.70 tff(21813,plain,
% 49.65/32.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB161, constB162)) | (~v108(constB161)) | v110(constB162))),
% 49.65/32.70 inference(quant_inst,[status(thm)],[])).
% 49.65/32.70 tff(21814,plain,
% 49.65/32.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161))),
% 49.65/32.70 inference(modus_ponens,[status(thm)],[21813, 21812])).
% 49.65/32.70 tff(21815,plain,
% 49.65/32.70 (v110(constB162) | (~v108(constB161))),
% 49.65/32.70 inference(unit_resolution,[status(thm)],[21814, 253, 21808])).
% 49.65/32.70 tff(21816,plain,
% 49.65/32.70 (v110(constB162)),
% 49.65/32.70 inference(unit_resolution,[status(thm)],[21815, 21805])).
% 49.65/32.70 tff(21817,plain,
% 49.65/32.70 (((~![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)))),
% 49.65/32.70 inference(rewrite,[status(thm)],[])).
% 49.65/32.70 tff(21818,plain,
% 49.65/32.70 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB161) | (~nextState(constB161, constB162)) | (~v104(constB162)))),
% 49.65/32.70 inference(quant_inst,[status(thm)],[])).
% 49.65/32.70 tff(21819,plain,
% 49.65/32.70 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB161) | (~nextState(constB161, constB162)) | (~v104(constB162))),
% 49.65/32.70 inference(modus_ponens,[status(thm)],[21818, 21817])).
% 49.65/32.70 tff(21820,plain,
% 49.65/32.70 (~v104(constB162)),
% 49.65/32.70 inference(unit_resolution,[status(thm)],[21819, 271, 21808, 21686])).
% 49.65/32.70 tff(21821,plain,
% 49.65/32.70 (((~![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))),
% 49.65/32.70 inference(rewrite,[status(thm)],[])).
% 49.65/32.70 tff(21822,plain,
% 49.65/32.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB161, constB162)) | v102(constB162) | v104(constB162))),
% 49.65/32.70 inference(quant_inst,[status(thm)],[])).
% 49.65/32.70 tff(21823,plain,
% 49.65/32.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB161, constB162)) | v102(constB162) | v104(constB162)),
% 49.65/32.70 inference(modus_ponens,[status(thm)],[21822, 21821])).
% 49.65/32.70 tff(21824,plain,
% 49.65/32.70 (v102(constB162) | v104(constB162)),
% 49.65/32.70 inference(unit_resolution,[status(thm)],[21823, 285, 21808])).
% 49.65/32.70 tff(21825,plain,
% 49.65/32.70 (v102(constB162)),
% 49.65/32.70 inference(unit_resolution,[status(thm)],[21824, 21820])).
% 49.65/32.70 tff(21826,plain,
% 49.65/32.70 (v1(constB162) <=> v1(constB162)),
% 49.65/32.70 inference(rewrite,[status(thm)],[])).
% 49.65/32.70 tff(21827,axiom,(v1(constB162)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_162_1')).
% 49.65/32.70 tff(21828,plain,
% 49.65/32.70 (v1(constB162)),
% 49.65/32.70 inference(modus_ponens,[status(thm)],[21827, 21826])).
% 49.65/32.70 tff(21829,plain,
% 49.65/32.70 (((~![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)))),
% 49.65/32.70 inference(rewrite,[status(thm)],[])).
% 49.66/32.70 tff(21830,plain,
% 49.66/32.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB161, constB162)) | v101(constB162) | (~v102(constB162)) | (~v1(constB162)))),
% 49.66/32.70 inference(quant_inst,[status(thm)],[])).
% 49.66/32.70 tff(21831,plain,
% 49.66/32.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB161, constB162)) | v101(constB162) | (~v102(constB162)) | (~v1(constB162))),
% 49.66/32.70 inference(modus_ponens,[status(thm)],[21830, 21829])).
% 49.66/32.70 tff(21832,plain,
% 49.66/32.70 (v101(constB162) | (~v102(constB162))),
% 49.66/32.70 inference(unit_resolution,[status(thm)],[21831, 303, 21808, 21828])).
% 49.66/32.70 tff(21833,plain,
% 49.66/32.70 (v101(constB162)),
% 49.66/32.70 inference(unit_resolution,[status(thm)],[21832, 21825])).
% 49.66/32.70 tff(21834,plain,
% 49.66/32.70 (((~![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)))),
% 49.66/32.70 inference(rewrite,[status(thm)],[])).
% 49.66/32.70 tff(21835,plain,
% 49.66/32.70 (((~nextState(constB161, constB162)) | (~v101(constB162)) | (~v110(constB162)) | v100(constB162)) <=> ((~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162)))),
% 49.66/32.70 inference(rewrite,[status(thm)],[])).
% 49.66/32.70 tff(21836,plain,
% 49.66/32.70 (((~![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))))),
% 49.66/32.70 inference(monotonicity,[status(thm)],[21835])).
% 49.66/32.70 tff(21837,plain,
% 49.66/32.70 (((~![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)))),
% 49.66/32.70 inference(transitivity,[status(thm)],[21836, 21834])).
% 49.66/32.70 tff(21838,plain,
% 49.66/32.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB161, constB162)) | (~v101(constB162)) | (~v110(constB162)) | v100(constB162))),
% 49.66/32.70 inference(quant_inst,[status(thm)],[])).
% 49.66/32.70 tff(21839,plain,
% 49.66/32.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162))),
% 49.66/32.70 inference(modus_ponens,[status(thm)],[21838, 21837])).
% 49.66/32.70 tff(21840,plain,
% 49.66/32.70 (v100(constB162) | (~v101(constB162)) | (~v110(constB162))),
% 49.66/32.70 inference(unit_resolution,[status(thm)],[21839, 318, 21808])).
% 49.66/32.70 tff(21841,plain,
% 49.66/32.70 (v100(constB162) | (~v110(constB162))),
% 49.66/32.70 inference(unit_resolution,[status(thm)],[21840, 21833])).
% 49.66/32.70 tff(21842,plain,
% 49.66/32.70 (v100(constB162)),
% 49.66/32.70 inference(unit_resolution,[status(thm)],[21841, 21816])).
% 49.66/32.70 tff(21843,plain,
% 49.66/32.70 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB161)) | v130(constB161, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB161)) | v130(constB161, bitIndex2))),
% 49.66/32.70 inference(rewrite,[status(thm)],[])).
% 49.66/32.70 tff(21844,plain,
% 49.66/32.70 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB161)) | v130(constB161, bitIndex2))),
% 49.66/32.70 inference(quant_inst,[status(thm)],[])).
% 49.66/32.70 tff(21845,plain,
% 49.66/32.70 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB161)) | v130(constB161, bitIndex2)),
% 49.66/32.70 inference(modus_ponens,[status(thm)],[21844, 21843])).
% 49.66/32.70 tff(21846,plain,
% 49.66/32.70 (v130(constB161, bitIndex2)),
% 49.66/32.70 inference(unit_resolution,[status(thm)],[21845, 1876, 21776])).
% 49.66/32.70 tff(21847,plain,
% 49.66/32.70 (((~![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))) | v26(constB161) | (~v130(constB161, bitIndex2)) | v127(constB161, bitIndex2))),
% 49.66/32.70 inference(rewrite,[status(thm)],[])).
% 49.66/32.70 tff(21848,plain,
% 49.66/32.70 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB161) | (~v130(constB161, bitIndex2)) | v127(constB161, bitIndex2))),
% 49.66/32.70 inference(quant_inst,[status(thm)],[])).
% 49.66/32.70 tff(21849,plain,
% 49.66/32.70 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB161) | (~v130(constB161, bitIndex2)) | v127(constB161, bitIndex2)),
% 49.66/32.70 inference(modus_ponens,[status(thm)],[21848, 21847])).
% 49.66/32.70 tff(21850,plain,
% 49.66/32.70 ((~v130(constB161, bitIndex2)) | v127(constB161, bitIndex2)),
% 49.66/32.70 inference(unit_resolution,[status(thm)],[21849, 351, 21796])).
% 49.66/32.70 tff(21851,plain,
% 49.66/32.70 (v127(constB161, bitIndex2)),
% 49.66/32.70 inference(unit_resolution,[status(thm)],[21850, 21846])).
% 49.66/32.70 tff(21852,plain,
% 49.66/32.70 (((~![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))),
% 49.66/32.70 inference(rewrite,[status(thm)],[])).
% 49.66/32.70 tff(21853,plain,
% 49.66/32.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB161, constB162)) | (~v127(constB161, bitIndex2)) | v129(constB162, bitIndex2))),
% 49.66/32.70 inference(quant_inst,[status(thm)],[])).
% 49.66/32.70 tff(21854,plain,
% 49.66/32.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB161, constB162)) | (~v127(constB161, bitIndex2)) | v129(constB162, bitIndex2)),
% 49.66/32.70 inference(modus_ponens,[status(thm)],[21853, 21852])).
% 49.66/32.70 tff(21855,plain,
% 49.66/32.70 ((~v127(constB161, bitIndex2)) | v129(constB162, bitIndex2)),
% 49.66/32.70 inference(unit_resolution,[status(thm)],[21854, 366, 21808])).
% 49.66/32.70 tff(21856,plain,
% 49.66/32.70 (v129(constB162, bitIndex2)),
% 49.66/32.70 inference(unit_resolution,[status(thm)],[21855, 21851])).
% 49.66/32.70 tff(21857,plain,
% 49.66/32.70 (((~![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)))),
% 49.66/32.71 inference(rewrite,[status(thm)],[])).
% 49.66/32.71 tff(21858,plain,
% 49.66/32.71 ((v90(constB162, bitIndex2) | (~v100(constB162)) | (~v129(constB162, bitIndex2))) <=> (v90(constB162, bitIndex2) | (~v129(constB162, bitIndex2)) | (~v100(constB162)))),
% 49.66/32.71 inference(rewrite,[status(thm)],[])).
% 49.66/32.71 tff(21859,plain,
% 49.66/32.71 (((~![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))))),
% 49.66/32.71 inference(monotonicity,[status(thm)],[21858])).
% 49.66/32.71 tff(21860,plain,
% 49.66/32.71 (((~![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)))),
% 49.66/32.71 inference(transitivity,[status(thm)],[21859, 21857])).
% 49.66/32.71 tff(21861,plain,
% 49.66/32.71 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB162, bitIndex2) | (~v100(constB162)) | (~v129(constB162, bitIndex2)))),
% 49.66/32.71 inference(quant_inst,[status(thm)],[])).
% 49.66/32.71 tff(21862,plain,
% 49.66/32.71 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB162, bitIndex2) | (~v129(constB162, bitIndex2)) | (~v100(constB162))),
% 49.66/32.71 inference(modus_ponens,[status(thm)],[21861, 21860])).
% 49.66/32.71 tff(21863,plain,
% 49.66/32.71 (v90(constB162, bitIndex2) | (~v100(constB162))),
% 49.66/32.71 inference(unit_resolution,[status(thm)],[21862, 381, 21856])).
% 49.66/32.71 tff(21864,plain,
% 49.66/32.71 (v90(constB162, bitIndex2)),
% 49.66/32.71 inference(unit_resolution,[status(thm)],[21863, 21842])).
% 49.66/32.71 tff(21865,plain,
% 49.66/32.71 ((~v1(constB163)) <=> (~v1(constB163))),
% 49.66/32.71 inference(rewrite,[status(thm)],[])).
% 49.66/32.71 tff(21866,axiom,(~v1(constB163)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_163_1_1')).
% 49.66/32.71 tff(21867,plain,
% 49.66/32.71 (~v1(constB163)),
% 49.66/32.71 inference(modus_ponens,[status(thm)],[21866, 21865])).
% 49.66/32.71 tff(21868,plain,
% 49.66/32.71 (nextState(constB162, constB163) <=> nextState(constB162, constB163)),
% 49.66/32.71 inference(rewrite,[status(thm)],[])).
% 49.66/32.71 tff(21869,axiom,(nextState(constB162, constB163)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_162_1')).
% 49.66/32.71 tff(21870,plain,
% 49.66/32.71 (nextState(constB162, constB163)),
% 49.66/32.71 inference(modus_ponens,[status(thm)],[21869, 21868])).
% 49.66/32.71 tff(21871,plain,
% 49.66/32.71 (((~![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)))),
% 49.66/32.71 inference(rewrite,[status(thm)],[])).
% 49.66/32.71 tff(21872,plain,
% 49.66/32.71 (((~nextState(constB162, constB163)) | (~v101(constB163)) | v1(constB163)) <=> (v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163)))),
% 49.66/32.71 inference(rewrite,[status(thm)],[])).
% 49.66/32.71 tff(21873,plain,
% 49.66/32.71 (((~![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))))),
% 49.66/32.71 inference(monotonicity,[status(thm)],[21872])).
% 49.66/32.71 tff(21874,plain,
% 49.66/32.71 (((~![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)))),
% 49.66/32.71 inference(transitivity,[status(thm)],[21873, 21871])).
% 49.66/32.71 tff(21875,plain,
% 49.66/32.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB162, constB163)) | (~v101(constB163)) | v1(constB163))),
% 49.66/32.71 inference(quant_inst,[status(thm)],[])).
% 49.66/32.71 tff(21876,plain,
% 49.66/32.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163))),
% 49.66/32.71 inference(modus_ponens,[status(thm)],[21875, 21874])).
% 49.66/32.71 tff(21877,plain,
% 49.66/32.71 (~v101(constB163)),
% 49.66/32.71 inference(unit_resolution,[status(thm)],[21876, 49, 21870, 21867])).
% 49.66/32.71 tff(21878,plain,
% 49.66/32.71 (((~![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)))),
% 49.66/32.71 inference(rewrite,[status(thm)],[])).
% 49.66/32.71 tff(21879,plain,
% 49.66/32.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB162, constB163)) | v101(constB163) | (~v100(constB163)))),
% 49.66/32.71 inference(quant_inst,[status(thm)],[])).
% 49.66/32.71 tff(21880,plain,
% 49.66/32.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB162, constB163)) | v101(constB163) | (~v100(constB163))),
% 49.66/32.71 inference(modus_ponens,[status(thm)],[21879, 21878])).
% 49.66/32.71 tff(21881,plain,
% 49.66/32.71 (v101(constB163) | (~v100(constB163))),
% 49.66/32.71 inference(unit_resolution,[status(thm)],[21880, 66, 21870])).
% 49.66/32.71 tff(21882,plain,
% 49.66/32.71 (~v100(constB163)),
% 49.66/32.71 inference(unit_resolution,[status(thm)],[21881, 21877])).
% 49.66/32.71 tff(21883,plain,
% 49.66/32.71 (((~![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))),
% 49.66/32.71 inference(rewrite,[status(thm)],[])).
% 49.66/32.71 tff(21884,plain,
% 49.66/32.71 (((~nextState(constB162, constB163)) | (~v90(constB162, bitIndex2)) | v100(constB163) | v90(constB163, bitIndex2)) <=> ((~v90(constB162, bitIndex2)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, bitIndex2))),
% 49.66/32.71 inference(rewrite,[status(thm)],[])).
% 49.66/32.71 tff(21885,plain,
% 49.66/32.71 (((~![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)))),
% 49.66/32.71 inference(monotonicity,[status(thm)],[21884])).
% 49.66/32.71 tff(21886,plain,
% 49.66/32.71 (((~![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))),
% 49.66/32.71 inference(transitivity,[status(thm)],[21885, 21883])).
% 49.66/32.71 tff(21887,plain,
% 49.66/32.71 ((~![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))),
% 49.66/32.71 inference(quant_inst,[status(thm)],[])).
% 49.66/32.71 tff(21888,plain,
% 49.66/32.71 ((~![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)),
% 49.66/32.71 inference(modus_ponens,[status(thm)],[21887, 21886])).
% 49.66/32.71 tff(21889,plain,
% 49.66/32.71 ((~v90(constB162, bitIndex2)) | v100(constB163) | v90(constB163, bitIndex2)),
% 49.66/32.71 inference(unit_resolution,[status(thm)],[21888, 417, 21870])).
% 49.66/32.71 tff(21890,plain,
% 49.66/32.71 ((~v90(constB162, bitIndex2)) | v90(constB163, bitIndex2)),
% 49.66/32.71 inference(unit_resolution,[status(thm)],[21889, 21882])).
% 49.66/32.71 tff(21891,plain,
% 49.66/32.71 (v90(constB163, bitIndex2)),
% 49.66/32.71 inference(unit_resolution,[status(thm)],[21890, 21864])).
% 49.66/32.71 tff(21892,plain,
% 49.66/32.71 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB161)) | (~v130(constB161, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB161)) | (~v130(constB161, bitIndex1)))),
% 49.66/32.71 inference(rewrite,[status(thm)],[])).
% 49.66/32.71 tff(21893,plain,
% 49.66/32.71 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB161)) | (~v130(constB161, bitIndex1)))),
% 49.66/32.71 inference(quant_inst,[status(thm)],[])).
% 49.66/32.71 tff(21894,plain,
% 49.66/32.71 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB161)) | (~v130(constB161, bitIndex1))),
% 49.66/32.71 inference(modus_ponens,[status(thm)],[21893, 21892])).
% 49.66/32.71 tff(21895,plain,
% 49.66/32.71 (~v130(constB161, bitIndex1)),
% 49.66/32.71 inference(unit_resolution,[status(thm)],[21894, 1935, 21776])).
% 49.66/32.71 tff(21896,plain,
% 49.66/32.71 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB161, bitIndex1)) | v26(constB161) | v130(constB161, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB161, bitIndex1)) | v26(constB161) | v130(constB161, bitIndex1))),
% 49.66/32.71 inference(rewrite,[status(thm)],[])).
% 49.66/32.71 tff(21897,plain,
% 49.66/32.71 ((v26(constB161) | v130(constB161, bitIndex1) | (~v127(constB161, bitIndex1))) <=> ((~v127(constB161, bitIndex1)) | v26(constB161) | v130(constB161, bitIndex1))),
% 49.66/32.71 inference(rewrite,[status(thm)],[])).
% 49.66/32.71 tff(21898,plain,
% 49.66/32.71 (((~![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)))) | ((~v127(constB161, bitIndex1)) | v26(constB161) | v130(constB161, bitIndex1)))),
% 49.66/32.71 inference(monotonicity,[status(thm)],[21897])).
% 49.66/32.71 tff(21899,plain,
% 49.66/32.71 (((~![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)))) | (~v127(constB161, bitIndex1)) | v26(constB161) | v130(constB161, bitIndex1))),
% 49.66/32.71 inference(transitivity,[status(thm)],[21898, 21896])).
% 49.66/32.71 tff(21900,plain,
% 49.66/32.71 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB161) | v130(constB161, bitIndex1) | (~v127(constB161, bitIndex1)))),
% 49.66/32.71 inference(quant_inst,[status(thm)],[])).
% 49.66/32.71 tff(21901,plain,
% 49.66/32.71 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB161, bitIndex1)) | v26(constB161) | v130(constB161, bitIndex1)),
% 49.66/32.71 inference(modus_ponens,[status(thm)],[21900, 21899])).
% 49.66/32.71 tff(21902,plain,
% 49.66/32.71 ((~v127(constB161, bitIndex1)) | v130(constB161, bitIndex1)),
% 49.66/32.71 inference(unit_resolution,[status(thm)],[21901, 450, 21796])).
% 49.66/32.71 tff(21903,plain,
% 49.66/32.71 (~v127(constB161, bitIndex1)),
% 49.66/32.71 inference(unit_resolution,[status(thm)],[21902, 21895])).
% 49.66/32.71 tff(21904,plain,
% 49.66/32.71 (((~![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)))),
% 49.66/32.71 inference(rewrite,[status(thm)],[])).
% 49.66/32.71 tff(21905,plain,
% 49.66/32.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB161, constB162)) | v127(constB161, bitIndex1) | (~v129(constB162, bitIndex1)))),
% 49.66/32.71 inference(quant_inst,[status(thm)],[])).
% 49.66/32.71 tff(21906,plain,
% 49.66/32.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB161, constB162)) | v127(constB161, bitIndex1) | (~v129(constB162, bitIndex1))),
% 49.66/32.71 inference(modus_ponens,[status(thm)],[21905, 21904])).
% 49.66/32.71 tff(21907,plain,
% 49.66/32.71 (v127(constB161, bitIndex1) | (~v129(constB162, bitIndex1))),
% 49.66/32.71 inference(unit_resolution,[status(thm)],[21906, 468, 21808])).
% 49.66/32.71 tff(21908,plain,
% 49.66/32.71 (~v129(constB162, bitIndex1)),
% 49.66/32.71 inference(unit_resolution,[status(thm)],[21907, 21903])).
% 49.66/32.71 tff(21909,plain,
% 49.66/32.71 (((~![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)))),
% 49.66/32.71 inference(rewrite,[status(thm)],[])).
% 49.66/32.71 tff(21910,plain,
% 49.66/32.71 (((~v90(constB162, bitIndex1)) | (~v100(constB162)) | v129(constB162, bitIndex1)) <=> ((~v90(constB162, bitIndex1)) | v129(constB162, bitIndex1) | (~v100(constB162)))),
% 49.66/32.71 inference(rewrite,[status(thm)],[])).
% 49.66/32.71 tff(21911,plain,
% 49.66/32.71 (((~![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))))),
% 49.66/32.71 inference(monotonicity,[status(thm)],[21910])).
% 49.66/32.71 tff(21912,plain,
% 49.66/32.71 (((~![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)))),
% 49.66/32.71 inference(transitivity,[status(thm)],[21911, 21909])).
% 49.66/32.71 tff(21913,plain,
% 49.66/32.71 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB162, bitIndex1)) | (~v100(constB162)) | v129(constB162, bitIndex1))),
% 49.66/32.71 inference(quant_inst,[status(thm)],[])).
% 49.66/32.71 tff(21914,plain,
% 49.66/32.71 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB162, bitIndex1)) | v129(constB162, bitIndex1) | (~v100(constB162))),
% 49.66/32.71 inference(modus_ponens,[status(thm)],[21913, 21912])).
% 49.66/32.71 tff(21915,plain,
% 49.66/32.71 ((~v90(constB162, bitIndex1)) | (~v100(constB162))),
% 49.66/32.71 inference(unit_resolution,[status(thm)],[21914, 483, 21908])).
% 49.66/32.71 tff(21916,plain,
% 49.66/32.71 (~v90(constB162, bitIndex1)),
% 49.66/32.71 inference(unit_resolution,[status(thm)],[21915, 21842])).
% 49.66/32.71 tff(21917,plain,
% 49.66/32.71 (((~![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)))),
% 49.66/32.71 inference(rewrite,[status(thm)],[])).
% 49.66/32.71 tff(21918,plain,
% 49.66/32.71 (((~nextState(constB162, constB163)) | v90(constB162, bitIndex1) | v100(constB163) | (~v90(constB163, bitIndex1))) <=> (v90(constB162, bitIndex1) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex1)))),
% 49.66/32.71 inference(rewrite,[status(thm)],[])).
% 49.66/32.71 tff(21919,plain,
% 49.66/32.71 (((~![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))))),
% 49.66/32.71 inference(monotonicity,[status(thm)],[21918])).
% 49.66/32.71 tff(21920,plain,
% 49.66/32.71 (((~![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)))),
% 49.66/32.71 inference(transitivity,[status(thm)],[21919, 21917])).
% 49.66/32.71 tff(21921,plain,
% 49.66/32.71 ((~![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)))),
% 49.66/32.71 inference(quant_inst,[status(thm)],[])).
% 49.66/32.71 tff(21922,plain,
% 49.66/32.71 ((~![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))),
% 49.66/32.71 inference(modus_ponens,[status(thm)],[21921, 21920])).
% 49.66/32.71 tff(21923,plain,
% 49.66/32.71 (v90(constB162, bitIndex1) | v100(constB163) | (~v90(constB163, bitIndex1))),
% 49.66/32.71 inference(unit_resolution,[status(thm)],[21922, 102, 21870])).
% 49.66/32.71 tff(21924,plain,
% 49.66/32.71 (v90(constB162, bitIndex1) | (~v90(constB163, bitIndex1))),
% 49.66/32.71 inference(unit_resolution,[status(thm)],[21923, 21882])).
% 49.66/32.71 tff(21925,plain,
% 49.66/32.71 (~v90(constB163, bitIndex1)),
% 49.66/32.71 inference(unit_resolution,[status(thm)],[21924, 21916])).
% 49.66/32.71 tff(21926,plain,
% 49.66/32.71 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB161)) | (~v130(constB161, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB161)) | (~v130(constB161, bitIndex0)))),
% 49.66/32.71 inference(rewrite,[status(thm)],[])).
% 49.66/32.71 tff(21927,plain,
% 49.66/32.71 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB161)) | (~v130(constB161, bitIndex0)))),
% 49.66/32.71 inference(quant_inst,[status(thm)],[])).
% 49.66/32.71 tff(21928,plain,
% 49.66/32.71 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB161)) | (~v130(constB161, bitIndex0))),
% 49.66/32.71 inference(modus_ponens,[status(thm)],[21927, 21926])).
% 49.66/32.71 tff(21929,plain,
% 49.66/32.71 (~v130(constB161, bitIndex0)),
% 49.66/32.71 inference(unit_resolution,[status(thm)],[21928, 1997, 21776])).
% 49.66/32.71 tff(21930,plain,
% 49.66/32.71 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB161, bitIndex0)) | v26(constB161) | v130(constB161, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB161, bitIndex0)) | v26(constB161) | v130(constB161, bitIndex0))),
% 49.66/32.71 inference(rewrite,[status(thm)],[])).
% 49.66/32.71 tff(21931,plain,
% 49.66/32.71 ((v26(constB161) | v130(constB161, bitIndex0) | (~v127(constB161, bitIndex0))) <=> ((~v127(constB161, bitIndex0)) | v26(constB161) | v130(constB161, bitIndex0))),
% 49.67/32.71 inference(rewrite,[status(thm)],[])).
% 49.67/32.71 tff(21932,plain,
% 49.67/32.71 (((~![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)))) | ((~v127(constB161, bitIndex0)) | v26(constB161) | v130(constB161, bitIndex0)))),
% 49.67/32.71 inference(monotonicity,[status(thm)],[21931])).
% 49.67/32.71 tff(21933,plain,
% 49.67/32.71 (((~![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)))) | (~v127(constB161, bitIndex0)) | v26(constB161) | v130(constB161, bitIndex0))),
% 49.67/32.71 inference(transitivity,[status(thm)],[21932, 21930])).
% 49.67/32.71 tff(21934,plain,
% 49.67/32.71 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB161) | v130(constB161, bitIndex0) | (~v127(constB161, bitIndex0)))),
% 49.67/32.71 inference(quant_inst,[status(thm)],[])).
% 49.67/32.71 tff(21935,plain,
% 49.67/32.71 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB161, bitIndex0)) | v26(constB161) | v130(constB161, bitIndex0)),
% 49.67/32.71 inference(modus_ponens,[status(thm)],[21934, 21933])).
% 49.67/32.71 tff(21936,plain,
% 49.67/32.71 ((~v127(constB161, bitIndex0)) | v130(constB161, bitIndex0)),
% 49.67/32.71 inference(unit_resolution,[status(thm)],[21935, 524, 21796])).
% 49.67/32.71 tff(21937,plain,
% 49.67/32.71 (~v127(constB161, bitIndex0)),
% 49.67/32.71 inference(unit_resolution,[status(thm)],[21936, 21929])).
% 49.67/32.71 tff(21938,plain,
% 49.67/32.71 (((~![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)))),
% 49.67/32.71 inference(rewrite,[status(thm)],[])).
% 49.67/32.71 tff(21939,plain,
% 49.67/32.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB161, constB162)) | v127(constB161, bitIndex0) | (~v129(constB162, bitIndex0)))),
% 49.67/32.71 inference(quant_inst,[status(thm)],[])).
% 49.67/32.71 tff(21940,plain,
% 49.67/32.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB161, constB162)) | v127(constB161, bitIndex0) | (~v129(constB162, bitIndex0))),
% 49.67/32.71 inference(modus_ponens,[status(thm)],[21939, 21938])).
% 49.67/32.71 tff(21941,plain,
% 49.67/32.71 (v127(constB161, bitIndex0) | (~v129(constB162, bitIndex0))),
% 49.67/32.71 inference(unit_resolution,[status(thm)],[21940, 542, 21808])).
% 49.67/32.71 tff(21942,plain,
% 49.67/32.71 (~v129(constB162, bitIndex0)),
% 49.67/32.71 inference(unit_resolution,[status(thm)],[21941, 21937])).
% 49.67/32.71 tff(21943,plain,
% 49.67/32.71 (((~![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)))),
% 49.67/32.71 inference(rewrite,[status(thm)],[])).
% 49.67/32.71 tff(21944,plain,
% 49.67/32.71 (((~v90(constB162, bitIndex0)) | (~v100(constB162)) | v129(constB162, bitIndex0)) <=> ((~v90(constB162, bitIndex0)) | v129(constB162, bitIndex0) | (~v100(constB162)))),
% 49.67/32.71 inference(rewrite,[status(thm)],[])).
% 49.67/32.71 tff(21945,plain,
% 49.67/32.71 (((~![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))))),
% 49.67/32.71 inference(monotonicity,[status(thm)],[21944])).
% 49.67/32.71 tff(21946,plain,
% 49.67/32.71 (((~![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)))),
% 49.67/32.71 inference(transitivity,[status(thm)],[21945, 21943])).
% 49.67/32.71 tff(21947,plain,
% 49.67/32.71 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB162, bitIndex0)) | (~v100(constB162)) | v129(constB162, bitIndex0))),
% 49.67/32.71 inference(quant_inst,[status(thm)],[])).
% 49.67/32.71 tff(21948,plain,
% 49.67/32.71 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB162, bitIndex0)) | v129(constB162, bitIndex0) | (~v100(constB162))),
% 49.67/32.71 inference(modus_ponens,[status(thm)],[21947, 21946])).
% 49.67/32.71 tff(21949,plain,
% 49.67/32.71 ((~v90(constB162, bitIndex0)) | (~v100(constB162))),
% 49.67/32.71 inference(unit_resolution,[status(thm)],[21948, 557, 21942])).
% 49.67/32.71 tff(21950,plain,
% 49.67/32.71 (~v90(constB162, bitIndex0)),
% 49.67/32.71 inference(unit_resolution,[status(thm)],[21949, 21842])).
% 49.67/32.71 tff(21951,plain,
% 49.67/32.71 (((~![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)))),
% 49.67/32.71 inference(rewrite,[status(thm)],[])).
% 49.67/32.71 tff(21952,plain,
% 49.67/32.71 (((~nextState(constB162, constB163)) | v90(constB162, bitIndex0) | v100(constB163) | (~v90(constB163, bitIndex0))) <=> (v90(constB162, bitIndex0) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, bitIndex0)))),
% 49.67/32.71 inference(rewrite,[status(thm)],[])).
% 49.67/32.71 tff(21953,plain,
% 49.67/32.71 (((~![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))))),
% 49.67/32.71 inference(monotonicity,[status(thm)],[21952])).
% 49.67/32.71 tff(21954,plain,
% 49.67/32.71 (((~![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)))),
% 49.67/32.71 inference(transitivity,[status(thm)],[21953, 21951])).
% 49.67/32.71 tff(21955,plain,
% 49.67/32.71 ((~![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)))),
% 49.67/32.71 inference(quant_inst,[status(thm)],[])).
% 49.67/32.71 tff(21956,plain,
% 49.67/32.71 ((~![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))),
% 49.67/32.71 inference(modus_ponens,[status(thm)],[21955, 21954])).
% 49.67/32.71 tff(21957,plain,
% 49.67/32.72 (v90(constB162, bitIndex0) | v100(constB163) | (~v90(constB163, bitIndex0))),
% 49.67/32.72 inference(unit_resolution,[status(thm)],[21956, 123, 21870])).
% 49.67/32.72 tff(21958,plain,
% 49.67/32.72 (v90(constB162, bitIndex0) | (~v90(constB163, bitIndex0))),
% 49.67/32.72 inference(unit_resolution,[status(thm)],[21957, 21882])).
% 49.67/32.72 tff(21959,plain,
% 49.67/32.72 (~v90(constB163, bitIndex0)),
% 49.67/32.72 inference(unit_resolution,[status(thm)],[21958, 21950])).
% 49.67/32.72 tff(21960,plain,
% 49.67/32.72 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB163, bitIndex0) | v90(constB163, bitIndex1) | (~v90(constB163, bitIndex2)) | v123(constB163))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB163, bitIndex0) | v90(constB163, bitIndex1) | (~v90(constB163, bitIndex2)) | v123(constB163))),
% 49.67/32.72 inference(rewrite,[status(thm)],[])).
% 49.67/32.72 tff(21961,plain,
% 49.67/32.72 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB163, bitIndex0) | v90(constB163, bitIndex1) | (~v90(constB163, bitIndex2)) | v123(constB163))),
% 49.67/32.72 inference(quant_inst,[status(thm)],[])).
% 49.67/32.72 tff(21962,plain,
% 49.67/32.72 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB163, bitIndex0) | v90(constB163, bitIndex1) | (~v90(constB163, bitIndex2)) | v123(constB163)),
% 49.67/32.72 inference(modus_ponens,[status(thm)],[21961, 21960])).
% 49.67/32.72 tff(21963,plain,
% 49.67/32.72 (v123(constB163)),
% 49.67/32.72 inference(unit_resolution,[status(thm)],[21962, 584, 21959, 21925, 21891])).
% 49.67/32.72 tff(21964,plain,
% 49.67/32.72 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB163) | (~v123(constB163)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB163) | (~v123(constB163)))),
% 49.67/32.72 inference(rewrite,[status(thm)],[])).
% 49.67/32.72 tff(21965,plain,
% 49.67/32.72 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB163) | (~v123(constB163)))),
% 49.67/32.72 inference(quant_inst,[status(thm)],[])).
% 49.67/32.72 tff(21966,plain,
% 49.67/32.72 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB163) | (~v123(constB163))),
% 49.67/32.72 inference(modus_ponens,[status(thm)],[21965, 21964])).
% 49.67/32.72 tff(21967,plain,
% 49.67/32.72 (v115(constB163)),
% 49.67/32.72 inference(unit_resolution,[status(thm)],[21966, 595, 21963])).
% 49.67/32.72 tff(21968,plain,
% 49.67/32.72 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB163) | (~v115(constB163)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB163) | (~v115(constB163)))),
% 49.67/32.72 inference(rewrite,[status(thm)],[])).
% 49.67/32.72 tff(21969,plain,
% 49.67/32.72 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB163) | (~v115(constB163)))),
% 49.67/32.72 inference(quant_inst,[status(thm)],[])).
% 49.67/32.72 tff(21970,plain,
% 49.67/32.72 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB163) | (~v115(constB163))),
% 49.67/32.72 inference(modus_ponens,[status(thm)],[21969, 21968])).
% 49.67/32.72 tff(21971,plain,
% 49.67/32.72 (v114(constB163)),
% 49.67/32.72 inference(unit_resolution,[status(thm)],[21970, 199, 21967])).
% 49.67/32.72 tff(21972,plain,
% 49.67/32.72 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB163) | (~v114(constB163)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB163) | (~v114(constB163)))),
% 49.67/32.72 inference(rewrite,[status(thm)],[])).
% 49.67/32.72 tff(21973,plain,
% 49.67/32.72 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB163) | (~v114(constB163)))),
% 49.67/32.72 inference(quant_inst,[status(thm)],[])).
% 49.67/32.72 tff(21974,plain,
% 49.67/32.72 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB163) | (~v114(constB163))),
% 49.67/32.72 inference(modus_ponens,[status(thm)],[21973, 21972])).
% 49.67/32.72 tff(21975,plain,
% 49.67/32.72 (v113(constB163)),
% 49.67/32.72 inference(unit_resolution,[status(thm)],[21974, 210, 21971])).
% 49.67/32.72 tff(21976,assumption,(v26(constB163)), introduced(assumption)).
% 49.67/32.72 tff(21977,plain,
% 49.67/32.72 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB163))),
% 49.67/32.72 inference(quant_inst,[status(thm)],[])).
% 49.67/32.72 tff(21978,plain,
% 49.67/32.72 ($false),
% 49.67/32.72 inference(unit_resolution,[status(thm)],[21977, 16, 21976])).
% 49.67/32.72 tff(21979,plain,(~v26(constB163)), inference(lemma,lemma(discharge,[]))).
% 49.67/32.72 tff(21980,plain,
% 49.67/32.72 (((~![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))),
% 49.67/32.72 inference(rewrite,[status(thm)],[])).
% 49.67/32.72 tff(21981,plain,
% 49.67/32.72 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB163) | (~v113(constB163)) | v112(constB163))),
% 49.67/32.72 inference(quant_inst,[status(thm)],[])).
% 49.67/32.72 tff(21982,plain,
% 49.67/32.72 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB163) | (~v113(constB163)) | v112(constB163)),
% 49.67/32.72 inference(modus_ponens,[status(thm)],[21981, 21980])).
% 49.67/32.72 tff(21983,plain,
% 49.67/32.72 ((~v113(constB163)) | v112(constB163)),
% 49.67/32.72 inference(unit_resolution,[status(thm)],[21982, 224, 21979])).
% 49.67/32.72 tff(21984,plain,
% 49.67/32.72 (v112(constB163)),
% 49.67/32.72 inference(unit_resolution,[status(thm)],[21983, 21975])).
% 49.67/32.72 tff(21985,plain,
% 49.67/32.72 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB163) | (~v112(constB163)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB163) | (~v112(constB163)))),
% 49.67/32.72 inference(rewrite,[status(thm)],[])).
% 49.67/32.72 tff(21986,plain,
% 49.67/32.72 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB163) | (~v112(constB163)))),
% 49.67/32.72 inference(quant_inst,[status(thm)],[])).
% 49.67/32.72 tff(21987,plain,
% 49.67/32.72 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB163) | (~v112(constB163))),
% 49.67/32.72 inference(modus_ponens,[status(thm)],[21986, 21985])).
% 49.67/32.72 tff(21988,plain,
% 49.67/32.72 (v108(constB163)),
% 49.67/32.72 inference(unit_resolution,[status(thm)],[21987, 236, 21984])).
% 49.67/32.72 tff(21989,plain,
% 49.67/32.72 (nextState(constB163, constB164) <=> nextState(constB163, constB164)),
% 49.67/32.72 inference(rewrite,[status(thm)],[])).
% 49.67/32.72 tff(21990,axiom,(nextState(constB163, constB164)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_163_1')).
% 49.67/32.72 tff(21991,plain,
% 49.67/32.72 (nextState(constB163, constB164)),
% 49.67/32.72 inference(modus_ponens,[status(thm)],[21990, 21989])).
% 49.67/32.72 tff(21992,plain,
% 49.67/32.72 (((~![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)))),
% 49.67/32.72 inference(rewrite,[status(thm)],[])).
% 49.67/32.72 tff(21993,plain,
% 49.67/32.72 (((~nextState(constB163, constB164)) | (~v108(constB163)) | v110(constB164)) <=> ((~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163)))),
% 49.67/32.72 inference(rewrite,[status(thm)],[])).
% 49.67/32.72 tff(21994,plain,
% 49.67/32.72 (((~![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))))),
% 49.67/32.72 inference(monotonicity,[status(thm)],[21993])).
% 49.67/32.72 tff(21995,plain,
% 49.67/32.72 (((~![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)))),
% 49.67/32.72 inference(transitivity,[status(thm)],[21994, 21992])).
% 49.67/32.72 tff(21996,plain,
% 49.67/32.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB163, constB164)) | (~v108(constB163)) | v110(constB164))),
% 49.67/32.72 inference(quant_inst,[status(thm)],[])).
% 49.67/32.72 tff(21997,plain,
% 49.67/32.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163))),
% 49.67/32.72 inference(modus_ponens,[status(thm)],[21996, 21995])).
% 49.67/32.72 tff(21998,plain,
% 49.67/32.72 (v110(constB164) | (~v108(constB163))),
% 49.67/32.72 inference(unit_resolution,[status(thm)],[21997, 253, 21991])).
% 49.67/32.72 tff(21999,plain,
% 49.67/32.72 (v110(constB164)),
% 49.67/32.72 inference(unit_resolution,[status(thm)],[21998, 21988])).
% 49.67/32.72 tff(22000,plain,
% 49.67/32.72 (((~![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)))),
% 49.67/32.72 inference(rewrite,[status(thm)],[])).
% 49.67/32.72 tff(22001,plain,
% 49.67/32.72 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB163) | (~nextState(constB163, constB164)) | (~v104(constB164)))),
% 49.67/32.72 inference(quant_inst,[status(thm)],[])).
% 49.67/32.72 tff(22002,plain,
% 49.67/32.72 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB163) | (~nextState(constB163, constB164)) | (~v104(constB164))),
% 49.67/32.72 inference(modus_ponens,[status(thm)],[22001, 22000])).
% 49.67/32.72 tff(22003,plain,
% 49.67/32.72 (~v104(constB164)),
% 49.67/32.72 inference(unit_resolution,[status(thm)],[22002, 271, 21991, 21867])).
% 49.67/32.72 tff(22004,plain,
% 49.67/32.72 (((~![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))),
% 49.67/32.72 inference(rewrite,[status(thm)],[])).
% 49.67/32.72 tff(22005,plain,
% 49.67/32.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB163, constB164)) | v102(constB164) | v104(constB164))),
% 49.67/32.72 inference(quant_inst,[status(thm)],[])).
% 49.67/32.72 tff(22006,plain,
% 49.67/32.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB163, constB164)) | v102(constB164) | v104(constB164)),
% 49.67/32.72 inference(modus_ponens,[status(thm)],[22005, 22004])).
% 49.67/32.72 tff(22007,plain,
% 49.67/32.72 (v102(constB164) | v104(constB164)),
% 49.67/32.72 inference(unit_resolution,[status(thm)],[22006, 285, 21991])).
% 49.67/32.72 tff(22008,plain,
% 49.67/32.72 (v102(constB164)),
% 49.67/32.72 inference(unit_resolution,[status(thm)],[22007, 22003])).
% 49.67/32.72 tff(22009,plain,
% 49.67/32.72 (v1(constB164) <=> v1(constB164)),
% 49.67/32.72 inference(rewrite,[status(thm)],[])).
% 49.67/32.72 tff(22010,axiom,(v1(constB164)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_164_1')).
% 49.67/32.72 tff(22011,plain,
% 49.67/32.72 (v1(constB164)),
% 49.67/32.72 inference(modus_ponens,[status(thm)],[22010, 22009])).
% 49.67/32.72 tff(22012,plain,
% 49.67/32.72 (((~![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)))),
% 49.67/32.72 inference(rewrite,[status(thm)],[])).
% 49.67/32.72 tff(22013,plain,
% 49.67/32.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB163, constB164)) | v101(constB164) | (~v102(constB164)) | (~v1(constB164)))),
% 49.67/32.72 inference(quant_inst,[status(thm)],[])).
% 49.67/32.72 tff(22014,plain,
% 49.67/32.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB163, constB164)) | v101(constB164) | (~v102(constB164)) | (~v1(constB164))),
% 49.67/32.72 inference(modus_ponens,[status(thm)],[22013, 22012])).
% 49.67/32.72 tff(22015,plain,
% 49.67/32.72 (v101(constB164) | (~v102(constB164))),
% 49.67/32.72 inference(unit_resolution,[status(thm)],[22014, 303, 21991, 22011])).
% 49.67/32.72 tff(22016,plain,
% 49.67/32.72 (v101(constB164)),
% 49.67/32.72 inference(unit_resolution,[status(thm)],[22015, 22008])).
% 49.67/32.72 tff(22017,plain,
% 49.67/32.72 (((~![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)))),
% 49.67/32.72 inference(rewrite,[status(thm)],[])).
% 49.67/32.72 tff(22018,plain,
% 49.67/32.72 (((~nextState(constB163, constB164)) | (~v101(constB164)) | (~v110(constB164)) | v100(constB164)) <=> ((~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164)))),
% 49.67/32.72 inference(rewrite,[status(thm)],[])).
% 49.67/32.72 tff(22019,plain,
% 49.67/32.72 (((~![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))))),
% 49.67/32.72 inference(monotonicity,[status(thm)],[22018])).
% 49.67/32.72 tff(22020,plain,
% 49.67/32.72 (((~![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)))),
% 49.67/32.72 inference(transitivity,[status(thm)],[22019, 22017])).
% 49.67/32.72 tff(22021,plain,
% 49.67/32.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB163, constB164)) | (~v101(constB164)) | (~v110(constB164)) | v100(constB164))),
% 49.67/32.72 inference(quant_inst,[status(thm)],[])).
% 49.67/32.72 tff(22022,plain,
% 49.67/32.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164))),
% 49.67/32.72 inference(modus_ponens,[status(thm)],[22021, 22020])).
% 49.67/32.72 tff(22023,plain,
% 49.67/32.72 (v100(constB164) | (~v101(constB164)) | (~v110(constB164))),
% 49.67/32.72 inference(unit_resolution,[status(thm)],[22022, 318, 21991])).
% 49.67/32.72 tff(22024,plain,
% 49.67/32.72 (v100(constB164) | (~v110(constB164))),
% 49.67/32.72 inference(unit_resolution,[status(thm)],[22023, 22016])).
% 49.67/32.72 tff(22025,plain,
% 49.67/32.72 (v100(constB164)),
% 49.67/32.72 inference(unit_resolution,[status(thm)],[22024, 21999])).
% 49.67/32.72 tff(22026,plain,
% 49.67/32.72 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB163)) | v130(constB163, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB163)) | v130(constB163, bitIndex2))),
% 49.67/32.72 inference(rewrite,[status(thm)],[])).
% 49.67/32.72 tff(22027,plain,
% 49.67/32.72 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB163)) | v130(constB163, bitIndex2))),
% 49.67/32.72 inference(quant_inst,[status(thm)],[])).
% 49.67/32.72 tff(22028,plain,
% 49.67/32.72 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB163)) | v130(constB163, bitIndex2)),
% 49.67/32.72 inference(modus_ponens,[status(thm)],[22027, 22026])).
% 49.67/32.72 tff(22029,plain,
% 49.67/32.72 (v130(constB163, bitIndex2)),
% 49.67/32.72 inference(unit_resolution,[status(thm)],[22028, 836, 21963])).
% 49.67/32.72 tff(22030,plain,
% 49.67/32.72 (((~![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))),
% 49.67/32.72 inference(rewrite,[status(thm)],[])).
% 49.67/32.72 tff(22031,plain,
% 49.67/32.72 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB163) | (~v130(constB163, bitIndex2)) | v127(constB163, bitIndex2))),
% 49.67/32.72 inference(quant_inst,[status(thm)],[])).
% 49.67/32.72 tff(22032,plain,
% 49.67/32.72 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB163) | (~v130(constB163, bitIndex2)) | v127(constB163, bitIndex2)),
% 49.67/32.72 inference(modus_ponens,[status(thm)],[22031, 22030])).
% 49.67/32.72 tff(22033,plain,
% 49.67/32.72 ((~v130(constB163, bitIndex2)) | v127(constB163, bitIndex2)),
% 49.67/32.72 inference(unit_resolution,[status(thm)],[22032, 351, 21979])).
% 49.67/32.72 tff(22034,plain,
% 49.67/32.72 (v127(constB163, bitIndex2)),
% 49.67/32.72 inference(unit_resolution,[status(thm)],[22033, 22029])).
% 49.67/32.72 tff(22035,plain,
% 49.67/32.72 (((~![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))),
% 49.67/32.72 inference(rewrite,[status(thm)],[])).
% 49.67/32.72 tff(22036,plain,
% 49.67/32.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB163, constB164)) | (~v127(constB163, bitIndex2)) | v129(constB164, bitIndex2))),
% 49.67/32.72 inference(quant_inst,[status(thm)],[])).
% 49.67/32.72 tff(22037,plain,
% 49.67/32.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB163, constB164)) | (~v127(constB163, bitIndex2)) | v129(constB164, bitIndex2)),
% 49.67/32.72 inference(modus_ponens,[status(thm)],[22036, 22035])).
% 49.67/32.72 tff(22038,plain,
% 49.67/32.72 ((~v127(constB163, bitIndex2)) | v129(constB164, bitIndex2)),
% 49.67/32.72 inference(unit_resolution,[status(thm)],[22037, 366, 21991])).
% 49.67/32.72 tff(22039,plain,
% 49.67/32.72 (v129(constB164, bitIndex2)),
% 49.67/32.72 inference(unit_resolution,[status(thm)],[22038, 22034])).
% 49.67/32.72 tff(22040,plain,
% 49.67/32.72 (((~![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)))),
% 49.67/32.72 inference(rewrite,[status(thm)],[])).
% 49.67/32.72 tff(22041,plain,
% 49.67/32.72 ((v90(constB164, bitIndex2) | (~v100(constB164)) | (~v129(constB164, bitIndex2))) <=> (v90(constB164, bitIndex2) | (~v129(constB164, bitIndex2)) | (~v100(constB164)))),
% 49.67/32.72 inference(rewrite,[status(thm)],[])).
% 49.67/32.72 tff(22042,plain,
% 49.67/32.72 (((~![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))))),
% 49.67/32.72 inference(monotonicity,[status(thm)],[22041])).
% 49.67/32.72 tff(22043,plain,
% 49.67/32.72 (((~![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)))),
% 49.67/32.72 inference(transitivity,[status(thm)],[22042, 22040])).
% 49.67/32.72 tff(22044,plain,
% 49.67/32.72 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB164, bitIndex2) | (~v100(constB164)) | (~v129(constB164, bitIndex2)))),
% 49.67/32.72 inference(quant_inst,[status(thm)],[])).
% 49.67/32.72 tff(22045,plain,
% 49.67/32.72 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB164, bitIndex2) | (~v129(constB164, bitIndex2)) | (~v100(constB164))),
% 49.67/32.72 inference(modus_ponens,[status(thm)],[22044, 22043])).
% 49.67/32.72 tff(22046,plain,
% 49.67/32.72 (v90(constB164, bitIndex2) | (~v100(constB164))),
% 49.67/32.72 inference(unit_resolution,[status(thm)],[22045, 381, 22039])).
% 49.67/32.72 tff(22047,plain,
% 49.67/32.72 (v90(constB164, bitIndex2)),
% 49.67/32.72 inference(unit_resolution,[status(thm)],[22046, 22025])).
% 49.67/32.72 tff(22048,plain,
% 49.67/32.72 ((~v1(constB165)) <=> (~v1(constB165))),
% 49.67/32.72 inference(rewrite,[status(thm)],[])).
% 49.67/32.72 tff(22049,axiom,(~v1(constB165)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_165_1_1')).
% 49.67/32.72 tff(22050,plain,
% 49.67/32.72 (~v1(constB165)),
% 49.67/32.72 inference(modus_ponens,[status(thm)],[22049, 22048])).
% 49.67/32.72 tff(22051,plain,
% 49.67/32.72 (nextState(constB164, constB165) <=> nextState(constB164, constB165)),
% 49.67/32.72 inference(rewrite,[status(thm)],[])).
% 49.67/32.72 tff(22052,axiom,(nextState(constB164, constB165)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_164_1')).
% 49.67/32.72 tff(22053,plain,
% 49.67/32.72 (nextState(constB164, constB165)),
% 49.67/32.72 inference(modus_ponens,[status(thm)],[22052, 22051])).
% 49.67/32.72 tff(22054,plain,
% 49.67/32.72 (((~![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)))),
% 49.67/32.72 inference(rewrite,[status(thm)],[])).
% 49.67/32.72 tff(22055,plain,
% 49.67/32.72 (((~nextState(constB164, constB165)) | (~v101(constB165)) | v1(constB165)) <=> (v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165)))),
% 49.67/32.72 inference(rewrite,[status(thm)],[])).
% 49.67/32.72 tff(22056,plain,
% 49.67/32.72 (((~![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))))),
% 49.67/32.72 inference(monotonicity,[status(thm)],[22055])).
% 49.67/32.72 tff(22057,plain,
% 49.67/32.72 (((~![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)))),
% 49.67/32.72 inference(transitivity,[status(thm)],[22056, 22054])).
% 49.67/32.72 tff(22058,plain,
% 49.67/32.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB164, constB165)) | (~v101(constB165)) | v1(constB165))),
% 49.67/32.72 inference(quant_inst,[status(thm)],[])).
% 49.67/32.72 tff(22059,plain,
% 49.67/32.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165))),
% 49.67/32.72 inference(modus_ponens,[status(thm)],[22058, 22057])).
% 49.67/32.72 tff(22060,plain,
% 49.67/32.72 (~v101(constB165)),
% 49.67/32.72 inference(unit_resolution,[status(thm)],[22059, 49, 22053, 22050])).
% 49.67/32.72 tff(22061,plain,
% 49.67/32.72 (((~![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)))),
% 49.67/32.72 inference(rewrite,[status(thm)],[])).
% 49.67/32.72 tff(22062,plain,
% 49.67/32.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB164, constB165)) | v101(constB165) | (~v100(constB165)))),
% 49.67/32.72 inference(quant_inst,[status(thm)],[])).
% 49.67/32.72 tff(22063,plain,
% 49.67/32.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB164, constB165)) | v101(constB165) | (~v100(constB165))),
% 49.67/32.72 inference(modus_ponens,[status(thm)],[22062, 22061])).
% 49.67/32.72 tff(22064,plain,
% 49.67/32.72 (v101(constB165) | (~v100(constB165))),
% 49.67/32.72 inference(unit_resolution,[status(thm)],[22063, 66, 22053])).
% 49.67/32.72 tff(22065,plain,
% 49.67/32.72 (~v100(constB165)),
% 49.67/32.72 inference(unit_resolution,[status(thm)],[22064, 22060])).
% 49.67/32.72 tff(22066,plain,
% 49.67/32.72 (((~![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))),
% 49.67/32.72 inference(rewrite,[status(thm)],[])).
% 49.67/32.72 tff(22067,plain,
% 49.67/32.72 (((~nextState(constB164, constB165)) | (~v90(constB164, bitIndex2)) | v100(constB165) | v90(constB165, bitIndex2)) <=> ((~v90(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex2))),
% 49.67/32.72 inference(rewrite,[status(thm)],[])).
% 49.67/32.72 tff(22068,plain,
% 49.67/32.72 (((~![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)))),
% 49.67/32.72 inference(monotonicity,[status(thm)],[22067])).
% 49.67/32.72 tff(22069,plain,
% 49.67/32.72 (((~![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))),
% 49.67/32.72 inference(transitivity,[status(thm)],[22068, 22066])).
% 49.67/32.72 tff(22070,plain,
% 49.67/32.72 ((~![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))),
% 49.67/32.72 inference(quant_inst,[status(thm)],[])).
% 49.67/32.72 tff(22071,plain,
% 49.67/32.72 ((~![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)),
% 49.67/32.72 inference(modus_ponens,[status(thm)],[22070, 22069])).
% 49.67/32.72 tff(22072,plain,
% 49.67/32.72 ((~v90(constB164, bitIndex2)) | v100(constB165) | v90(constB165, bitIndex2)),
% 49.67/32.72 inference(unit_resolution,[status(thm)],[22071, 417, 22053])).
% 49.67/32.72 tff(22073,plain,
% 49.67/32.72 ((~v90(constB164, bitIndex2)) | v90(constB165, bitIndex2)),
% 49.67/32.72 inference(unit_resolution,[status(thm)],[22072, 22065])).
% 49.67/32.72 tff(22074,plain,
% 49.67/32.72 (v90(constB165, bitIndex2)),
% 49.67/32.72 inference(unit_resolution,[status(thm)],[22073, 22047])).
% 49.67/32.72 tff(22075,plain,
% 49.67/32.72 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB163)) | v130(constB163, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB163)) | v130(constB163, bitIndex1))),
% 49.67/32.72 inference(rewrite,[status(thm)],[])).
% 49.67/32.72 tff(22076,plain,
% 49.67/32.72 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB163)) | v130(constB163, bitIndex1))),
% 49.67/32.72 inference(quant_inst,[status(thm)],[])).
% 49.67/32.72 tff(22077,plain,
% 49.67/32.72 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB163)) | v130(constB163, bitIndex1)),
% 49.67/32.72 inference(modus_ponens,[status(thm)],[22076, 22075])).
% 49.67/32.72 tff(22078,plain,
% 49.67/32.72 (v130(constB163, bitIndex1)),
% 49.67/32.72 inference(unit_resolution,[status(thm)],[22077, 667, 21963])).
% 49.67/32.72 tff(22079,plain,
% 49.67/32.72 (((~![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))) | v26(constB163) | (~v130(constB163, bitIndex1)) | v127(constB163, bitIndex1))),
% 49.67/32.72 inference(rewrite,[status(thm)],[])).
% 49.67/32.72 tff(22080,plain,
% 49.67/32.72 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB163) | (~v130(constB163, bitIndex1)) | v127(constB163, bitIndex1))),
% 49.67/32.72 inference(quant_inst,[status(thm)],[])).
% 49.67/32.72 tff(22081,plain,
% 49.67/32.72 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB163) | (~v130(constB163, bitIndex1)) | v127(constB163, bitIndex1)),
% 49.67/32.72 inference(modus_ponens,[status(thm)],[22080, 22079])).
% 49.67/32.72 tff(22082,plain,
% 49.67/32.72 ((~v130(constB163, bitIndex1)) | v127(constB163, bitIndex1)),
% 49.67/32.72 inference(unit_resolution,[status(thm)],[22081, 681, 21979])).
% 49.67/32.72 tff(22083,plain,
% 49.67/32.72 (v127(constB163, bitIndex1)),
% 49.67/32.72 inference(unit_resolution,[status(thm)],[22082, 22078])).
% 49.67/32.72 tff(22084,plain,
% 49.67/32.72 (((~![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))),
% 49.67/32.72 inference(rewrite,[status(thm)],[])).
% 49.67/32.72 tff(22085,plain,
% 49.67/32.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB163, constB164)) | (~v127(constB163, bitIndex1)) | v129(constB164, bitIndex1))),
% 49.67/32.72 inference(quant_inst,[status(thm)],[])).
% 49.67/32.72 tff(22086,plain,
% 49.67/32.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB163, constB164)) | (~v127(constB163, bitIndex1)) | v129(constB164, bitIndex1)),
% 49.67/32.72 inference(modus_ponens,[status(thm)],[22085, 22084])).
% 49.67/32.72 tff(22087,plain,
% 49.67/32.72 ((~v127(constB163, bitIndex1)) | v129(constB164, bitIndex1)),
% 49.67/32.72 inference(unit_resolution,[status(thm)],[22086, 696, 21991])).
% 49.67/32.72 tff(22088,plain,
% 49.67/32.72 (v129(constB164, bitIndex1)),
% 49.67/32.72 inference(unit_resolution,[status(thm)],[22087, 22083])).
% 49.67/32.72 tff(22089,plain,
% 49.67/32.72 (((~![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)))),
% 49.67/32.72 inference(rewrite,[status(thm)],[])).
% 49.67/32.72 tff(22090,plain,
% 49.67/32.72 ((v90(constB164, bitIndex1) | (~v100(constB164)) | (~v129(constB164, bitIndex1))) <=> (v90(constB164, bitIndex1) | (~v129(constB164, bitIndex1)) | (~v100(constB164)))),
% 49.67/32.72 inference(rewrite,[status(thm)],[])).
% 49.67/32.72 tff(22091,plain,
% 49.67/32.72 (((~![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))))),
% 49.67/32.72 inference(monotonicity,[status(thm)],[22090])).
% 49.67/32.72 tff(22092,plain,
% 49.67/32.72 (((~![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)))),
% 49.67/32.72 inference(transitivity,[status(thm)],[22091, 22089])).
% 49.67/32.73 tff(22093,plain,
% 49.67/32.73 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB164, bitIndex1) | (~v100(constB164)) | (~v129(constB164, bitIndex1)))),
% 49.67/32.73 inference(quant_inst,[status(thm)],[])).
% 49.67/32.73 tff(22094,plain,
% 49.67/32.73 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB164, bitIndex1) | (~v129(constB164, bitIndex1)) | (~v100(constB164))),
% 49.67/32.73 inference(modus_ponens,[status(thm)],[22093, 22092])).
% 49.67/32.73 tff(22095,plain,
% 49.67/32.73 (v90(constB164, bitIndex1) | (~v100(constB164))),
% 49.67/32.73 inference(unit_resolution,[status(thm)],[22094, 711, 22088])).
% 49.67/32.73 tff(22096,plain,
% 49.67/32.73 (v90(constB164, bitIndex1)),
% 49.67/32.73 inference(unit_resolution,[status(thm)],[22095, 22025])).
% 49.67/32.73 tff(22097,plain,
% 49.67/32.73 (((~![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))),
% 49.67/32.73 inference(rewrite,[status(thm)],[])).
% 49.67/32.73 tff(22098,plain,
% 49.67/32.73 (((~nextState(constB164, constB165)) | (~v90(constB164, bitIndex1)) | v100(constB165) | v90(constB165, bitIndex1)) <=> ((~v90(constB164, bitIndex1)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, bitIndex1))),
% 49.67/32.73 inference(rewrite,[status(thm)],[])).
% 49.67/32.73 tff(22099,plain,
% 49.67/32.73 (((~![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)))),
% 49.67/32.73 inference(monotonicity,[status(thm)],[22098])).
% 49.67/32.73 tff(22100,plain,
% 49.67/32.73 (((~![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))),
% 49.67/32.73 inference(transitivity,[status(thm)],[22099, 22097])).
% 49.67/32.73 tff(22101,plain,
% 49.67/32.73 ((~![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))),
% 49.67/32.73 inference(quant_inst,[status(thm)],[])).
% 49.67/32.73 tff(22102,plain,
% 49.67/32.73 ((~![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)),
% 49.67/32.73 inference(modus_ponens,[status(thm)],[22101, 22100])).
% 49.67/32.73 tff(22103,plain,
% 49.67/32.73 ((~v90(constB164, bitIndex1)) | v100(constB165) | v90(constB165, bitIndex1)),
% 49.67/32.73 inference(unit_resolution,[status(thm)],[22102, 747, 22053])).
% 49.67/32.73 tff(22104,plain,
% 49.67/32.73 ((~v90(constB164, bitIndex1)) | v90(constB165, bitIndex1)),
% 49.67/32.73 inference(unit_resolution,[status(thm)],[22103, 22065])).
% 49.67/32.73 tff(22105,plain,
% 49.67/32.73 (v90(constB165, bitIndex1)),
% 49.67/32.73 inference(unit_resolution,[status(thm)],[22104, 22096])).
% 49.67/32.73 tff(22106,plain,
% 49.67/32.73 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB163)) | (~v130(constB163, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB163)) | (~v130(constB163, bitIndex0)))),
% 49.67/32.73 inference(rewrite,[status(thm)],[])).
% 49.67/32.73 tff(22107,plain,
% 49.67/32.73 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB163)) | (~v130(constB163, bitIndex0)))),
% 49.67/32.73 inference(quant_inst,[status(thm)],[])).
% 49.67/32.73 tff(22108,plain,
% 49.67/32.73 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB163)) | (~v130(constB163, bitIndex0))),
% 49.67/32.73 inference(modus_ponens,[status(thm)],[22107, 22106])).
% 49.67/32.73 tff(22109,plain,
% 49.67/32.73 (~v130(constB163, bitIndex0)),
% 49.67/32.73 inference(unit_resolution,[status(thm)],[22108, 975, 21963])).
% 49.67/32.73 tff(22110,plain,
% 49.67/32.73 (((~![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))),
% 49.67/32.73 inference(rewrite,[status(thm)],[])).
% 49.67/32.73 tff(22111,plain,
% 49.67/32.73 ((v26(constB163) | v130(constB163, bitIndex0) | (~v127(constB163, bitIndex0))) <=> ((~v127(constB163, bitIndex0)) | v26(constB163) | v130(constB163, bitIndex0))),
% 49.67/32.73 inference(rewrite,[status(thm)],[])).
% 49.67/32.73 tff(22112,plain,
% 49.67/32.73 (((~![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)))),
% 49.67/32.73 inference(monotonicity,[status(thm)],[22111])).
% 49.67/32.73 tff(22113,plain,
% 49.67/32.73 (((~![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))),
% 49.67/32.73 inference(transitivity,[status(thm)],[22112, 22110])).
% 49.67/32.73 tff(22114,plain,
% 49.67/32.73 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB163) | v130(constB163, bitIndex0) | (~v127(constB163, bitIndex0)))),
% 49.67/32.73 inference(quant_inst,[status(thm)],[])).
% 49.67/32.73 tff(22115,plain,
% 49.67/32.73 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB163, bitIndex0)) | v26(constB163) | v130(constB163, bitIndex0)),
% 49.67/32.73 inference(modus_ponens,[status(thm)],[22114, 22113])).
% 49.67/32.73 tff(22116,plain,
% 49.67/32.73 ((~v127(constB163, bitIndex0)) | v130(constB163, bitIndex0)),
% 49.67/32.73 inference(unit_resolution,[status(thm)],[22115, 524, 21979])).
% 49.67/32.73 tff(22117,plain,
% 49.67/32.73 (~v127(constB163, bitIndex0)),
% 49.67/32.73 inference(unit_resolution,[status(thm)],[22116, 22109])).
% 49.67/32.73 tff(22118,plain,
% 49.67/32.73 (((~![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)))),
% 49.67/32.73 inference(rewrite,[status(thm)],[])).
% 49.67/32.73 tff(22119,plain,
% 49.67/32.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB163, constB164)) | v127(constB163, bitIndex0) | (~v129(constB164, bitIndex0)))),
% 49.67/32.73 inference(quant_inst,[status(thm)],[])).
% 49.67/32.73 tff(22120,plain,
% 49.67/32.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB163, constB164)) | v127(constB163, bitIndex0) | (~v129(constB164, bitIndex0))),
% 49.67/32.73 inference(modus_ponens,[status(thm)],[22119, 22118])).
% 49.67/32.73 tff(22121,plain,
% 49.67/32.73 (v127(constB163, bitIndex0) | (~v129(constB164, bitIndex0))),
% 49.67/32.73 inference(unit_resolution,[status(thm)],[22120, 542, 21991])).
% 49.67/32.73 tff(22122,plain,
% 49.67/32.73 (~v129(constB164, bitIndex0)),
% 49.67/32.73 inference(unit_resolution,[status(thm)],[22121, 22117])).
% 49.67/32.73 tff(22123,plain,
% 49.67/32.73 (((~![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)))),
% 49.67/32.73 inference(rewrite,[status(thm)],[])).
% 49.67/32.73 tff(22124,plain,
% 49.67/32.73 (((~v90(constB164, bitIndex0)) | (~v100(constB164)) | v129(constB164, bitIndex0)) <=> ((~v90(constB164, bitIndex0)) | v129(constB164, bitIndex0) | (~v100(constB164)))),
% 49.67/32.73 inference(rewrite,[status(thm)],[])).
% 49.67/32.73 tff(22125,plain,
% 49.67/32.73 (((~![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))))),
% 49.67/32.73 inference(monotonicity,[status(thm)],[22124])).
% 49.67/32.73 tff(22126,plain,
% 49.67/32.73 (((~![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)))),
% 49.67/32.73 inference(transitivity,[status(thm)],[22125, 22123])).
% 49.67/32.73 tff(22127,plain,
% 49.67/32.73 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB164, bitIndex0)) | (~v100(constB164)) | v129(constB164, bitIndex0))),
% 49.67/32.73 inference(quant_inst,[status(thm)],[])).
% 49.67/32.73 tff(22128,plain,
% 49.67/32.73 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB164, bitIndex0)) | v129(constB164, bitIndex0) | (~v100(constB164))),
% 49.67/32.73 inference(modus_ponens,[status(thm)],[22127, 22126])).
% 49.67/32.73 tff(22129,plain,
% 49.67/32.73 ((~v90(constB164, bitIndex0)) | (~v100(constB164))),
% 49.67/32.73 inference(unit_resolution,[status(thm)],[22128, 557, 22122])).
% 49.67/32.73 tff(22130,plain,
% 49.67/32.73 (~v90(constB164, bitIndex0)),
% 49.67/32.73 inference(unit_resolution,[status(thm)],[22129, 22025])).
% 49.67/32.73 tff(22131,plain,
% 49.67/32.73 (((~![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)))),
% 49.67/32.73 inference(rewrite,[status(thm)],[])).
% 49.67/32.73 tff(22132,plain,
% 49.67/32.73 (((~nextState(constB164, constB165)) | v90(constB164, bitIndex0) | v100(constB165) | (~v90(constB165, bitIndex0))) <=> (v90(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, bitIndex0)))),
% 49.67/32.73 inference(rewrite,[status(thm)],[])).
% 49.67/32.73 tff(22133,plain,
% 49.67/32.73 (((~![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))))),
% 49.67/32.73 inference(monotonicity,[status(thm)],[22132])).
% 49.67/32.73 tff(22134,plain,
% 49.67/32.73 (((~![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)))),
% 49.67/32.73 inference(transitivity,[status(thm)],[22133, 22131])).
% 49.67/32.73 tff(22135,plain,
% 49.67/32.73 ((~![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)))),
% 49.67/32.73 inference(quant_inst,[status(thm)],[])).
% 49.67/32.73 tff(22136,plain,
% 49.67/32.73 ((~![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))),
% 49.67/32.73 inference(modus_ponens,[status(thm)],[22135, 22134])).
% 49.67/32.73 tff(22137,plain,
% 49.67/32.73 (v90(constB164, bitIndex0) | v100(constB165) | (~v90(constB165, bitIndex0))),
% 49.67/32.73 inference(unit_resolution,[status(thm)],[22136, 123, 22053])).
% 49.67/32.73 tff(22138,plain,
% 49.67/32.73 (v90(constB164, bitIndex0) | (~v90(constB165, bitIndex0))),
% 49.67/32.73 inference(unit_resolution,[status(thm)],[22137, 22065])).
% 49.67/32.73 tff(22139,plain,
% 49.67/32.73 (~v90(constB165, bitIndex0)),
% 49.67/32.73 inference(unit_resolution,[status(thm)],[22138, 22130])).
% 49.67/32.73 tff(22140,plain,
% 49.67/32.73 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB165, bitIndex0) | (~v90(constB165, bitIndex1)) | (~v90(constB165, bitIndex2)) | v125(constB165))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB165, bitIndex0) | (~v90(constB165, bitIndex1)) | (~v90(constB165, bitIndex2)) | v125(constB165))),
% 49.67/32.73 inference(rewrite,[status(thm)],[])).
% 49.67/32.73 tff(22141,plain,
% 49.67/32.73 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB165, bitIndex0) | (~v90(constB165, bitIndex1)) | (~v90(constB165, bitIndex2)) | v125(constB165))),
% 49.67/32.73 inference(quant_inst,[status(thm)],[])).
% 49.67/32.73 tff(22142,plain,
% 49.67/32.73 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB165, bitIndex0) | (~v90(constB165, bitIndex1)) | (~v90(constB165, bitIndex2)) | v125(constB165)),
% 49.67/32.73 inference(modus_ponens,[status(thm)],[22141, 22140])).
% 49.67/32.73 tff(22143,plain,
% 49.67/32.73 (v125(constB165)),
% 49.67/32.73 inference(unit_resolution,[status(thm)],[22142, 1019, 22139, 22105, 22074])).
% 49.67/32.73 tff(22144,plain,
% 49.67/32.73 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB165) | (~v125(constB165)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB165) | (~v125(constB165)))),
% 49.67/32.73 inference(rewrite,[status(thm)],[])).
% 49.67/32.73 tff(22145,plain,
% 49.67/32.73 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB165) | (~v125(constB165)))),
% 49.67/32.73 inference(quant_inst,[status(thm)],[])).
% 49.67/32.73 tff(22146,plain,
% 49.67/32.73 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB165) | (~v125(constB165))),
% 49.67/32.73 inference(modus_ponens,[status(thm)],[22145, 22144])).
% 49.67/32.73 tff(22147,plain,
% 49.67/32.73 (v113(constB165)),
% 49.67/32.73 inference(unit_resolution,[status(thm)],[22146, 1031, 22143])).
% 49.67/32.73 tff(22148,assumption,(v26(constB165)), introduced(assumption)).
% 49.67/32.73 tff(22149,plain,
% 49.67/32.73 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB165))),
% 49.67/32.73 inference(quant_inst,[status(thm)],[])).
% 49.67/32.73 tff(22150,plain,
% 49.67/32.73 ($false),
% 49.67/32.73 inference(unit_resolution,[status(thm)],[22149, 16, 22148])).
% 49.67/32.73 tff(22151,plain,(~v26(constB165)), inference(lemma,lemma(discharge,[]))).
% 49.67/32.73 tff(22152,plain,
% 49.67/32.73 (((~![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))),
% 49.67/32.73 inference(rewrite,[status(thm)],[])).
% 49.67/32.73 tff(22153,plain,
% 49.67/32.73 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB165) | (~v113(constB165)) | v112(constB165))),
% 49.67/32.73 inference(quant_inst,[status(thm)],[])).
% 49.67/32.73 tff(22154,plain,
% 49.67/32.73 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB165) | (~v113(constB165)) | v112(constB165)),
% 49.67/32.73 inference(modus_ponens,[status(thm)],[22153, 22152])).
% 49.67/32.73 tff(22155,plain,
% 49.67/32.73 ((~v113(constB165)) | v112(constB165)),
% 49.67/32.73 inference(unit_resolution,[status(thm)],[22154, 224, 22151])).
% 49.67/32.73 tff(22156,plain,
% 49.67/32.73 (v112(constB165)),
% 49.67/32.73 inference(unit_resolution,[status(thm)],[22155, 22147])).
% 49.67/32.73 tff(22157,plain,
% 49.67/32.73 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB165) | (~v112(constB165)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB165) | (~v112(constB165)))),
% 49.67/32.73 inference(rewrite,[status(thm)],[])).
% 49.67/32.73 tff(22158,plain,
% 49.67/32.73 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB165) | (~v112(constB165)))),
% 49.67/32.73 inference(quant_inst,[status(thm)],[])).
% 49.67/32.73 tff(22159,plain,
% 49.67/32.73 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB165) | (~v112(constB165))),
% 49.67/32.73 inference(modus_ponens,[status(thm)],[22158, 22157])).
% 49.67/32.73 tff(22160,plain,
% 49.67/32.73 (v108(constB165)),
% 49.67/32.73 inference(unit_resolution,[status(thm)],[22159, 236, 22156])).
% 49.67/32.73 tff(22161,plain,
% 49.67/32.73 (nextState(constB165, constB166) <=> nextState(constB165, constB166)),
% 49.67/32.73 inference(rewrite,[status(thm)],[])).
% 49.67/32.73 tff(22162,axiom,(nextState(constB165, constB166)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_165_1')).
% 49.67/32.73 tff(22163,plain,
% 49.67/32.73 (nextState(constB165, constB166)),
% 49.67/32.73 inference(modus_ponens,[status(thm)],[22162, 22161])).
% 49.67/32.73 tff(22164,plain,
% 49.67/32.73 (((~![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)))),
% 49.67/32.73 inference(rewrite,[status(thm)],[])).
% 49.67/32.73 tff(22165,plain,
% 49.67/32.73 (((~nextState(constB165, constB166)) | (~v108(constB165)) | v110(constB166)) <=> ((~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165)))),
% 49.67/32.73 inference(rewrite,[status(thm)],[])).
% 49.67/32.73 tff(22166,plain,
% 49.67/32.73 (((~![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))))),
% 49.67/32.73 inference(monotonicity,[status(thm)],[22165])).
% 49.67/32.73 tff(22167,plain,
% 49.67/32.73 (((~![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)))),
% 49.67/32.73 inference(transitivity,[status(thm)],[22166, 22164])).
% 49.67/32.73 tff(22168,plain,
% 49.67/32.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB165, constB166)) | (~v108(constB165)) | v110(constB166))),
% 49.67/32.73 inference(quant_inst,[status(thm)],[])).
% 49.67/32.73 tff(22169,plain,
% 49.67/32.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165))),
% 49.67/32.73 inference(modus_ponens,[status(thm)],[22168, 22167])).
% 49.67/32.73 tff(22170,plain,
% 49.67/32.73 (v110(constB166) | (~v108(constB165))),
% 49.67/32.73 inference(unit_resolution,[status(thm)],[22169, 253, 22163])).
% 49.67/32.73 tff(22171,plain,
% 49.67/32.73 (v110(constB166)),
% 49.67/32.73 inference(unit_resolution,[status(thm)],[22170, 22160])).
% 49.67/32.73 tff(22172,plain,
% 49.67/32.73 (((~![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)))),
% 49.67/32.73 inference(rewrite,[status(thm)],[])).
% 49.67/32.73 tff(22173,plain,
% 49.67/32.73 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB165) | (~nextState(constB165, constB166)) | (~v104(constB166)))),
% 49.67/32.73 inference(quant_inst,[status(thm)],[])).
% 49.67/32.73 tff(22174,plain,
% 49.67/32.73 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB165) | (~nextState(constB165, constB166)) | (~v104(constB166))),
% 49.67/32.73 inference(modus_ponens,[status(thm)],[22173, 22172])).
% 49.67/32.73 tff(22175,plain,
% 49.67/32.73 (~v104(constB166)),
% 49.67/32.73 inference(unit_resolution,[status(thm)],[22174, 271, 22163, 22050])).
% 49.67/32.73 tff(22176,plain,
% 49.67/32.73 (((~![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))),
% 49.67/32.73 inference(rewrite,[status(thm)],[])).
% 49.67/32.73 tff(22177,plain,
% 49.67/32.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB165, constB166)) | v102(constB166) | v104(constB166))),
% 49.67/32.73 inference(quant_inst,[status(thm)],[])).
% 49.67/32.73 tff(22178,plain,
% 49.67/32.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB165, constB166)) | v102(constB166) | v104(constB166)),
% 49.67/32.73 inference(modus_ponens,[status(thm)],[22177, 22176])).
% 49.67/32.73 tff(22179,plain,
% 49.67/32.73 (v102(constB166) | v104(constB166)),
% 49.67/32.73 inference(unit_resolution,[status(thm)],[22178, 285, 22163])).
% 49.67/32.73 tff(22180,plain,
% 49.67/32.73 (v102(constB166)),
% 49.67/32.73 inference(unit_resolution,[status(thm)],[22179, 22175])).
% 49.67/32.73 tff(22181,plain,
% 49.67/32.73 (v1(constB166) <=> v1(constB166)),
% 49.67/32.73 inference(rewrite,[status(thm)],[])).
% 49.67/32.73 tff(22182,axiom,(v1(constB166)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_166_1')).
% 49.67/32.73 tff(22183,plain,
% 49.67/32.73 (v1(constB166)),
% 49.67/32.73 inference(modus_ponens,[status(thm)],[22182, 22181])).
% 49.67/32.73 tff(22184,plain,
% 49.67/32.73 (((~![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)))),
% 49.67/32.73 inference(rewrite,[status(thm)],[])).
% 49.67/32.73 tff(22185,plain,
% 49.67/32.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB165, constB166)) | v101(constB166) | (~v102(constB166)) | (~v1(constB166)))),
% 49.67/32.73 inference(quant_inst,[status(thm)],[])).
% 49.67/32.73 tff(22186,plain,
% 49.67/32.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB165, constB166)) | v101(constB166) | (~v102(constB166)) | (~v1(constB166))),
% 49.67/32.73 inference(modus_ponens,[status(thm)],[22185, 22184])).
% 49.67/32.73 tff(22187,plain,
% 49.67/32.73 (v101(constB166) | (~v102(constB166))),
% 49.67/32.73 inference(unit_resolution,[status(thm)],[22186, 303, 22163, 22183])).
% 49.67/32.73 tff(22188,plain,
% 49.67/32.73 (v101(constB166)),
% 49.67/32.73 inference(unit_resolution,[status(thm)],[22187, 22180])).
% 49.67/32.73 tff(22189,plain,
% 49.67/32.73 (((~![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)))),
% 49.67/32.73 inference(rewrite,[status(thm)],[])).
% 49.67/32.73 tff(22190,plain,
% 49.67/32.73 (((~nextState(constB165, constB166)) | (~v101(constB166)) | (~v110(constB166)) | v100(constB166)) <=> ((~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166)))),
% 49.67/32.73 inference(rewrite,[status(thm)],[])).
% 49.67/32.73 tff(22191,plain,
% 49.67/32.73 (((~![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))))),
% 49.67/32.73 inference(monotonicity,[status(thm)],[22190])).
% 49.67/32.73 tff(22192,plain,
% 49.67/32.73 (((~![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)))),
% 49.67/32.73 inference(transitivity,[status(thm)],[22191, 22189])).
% 49.67/32.73 tff(22193,plain,
% 49.67/32.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB165, constB166)) | (~v101(constB166)) | (~v110(constB166)) | v100(constB166))),
% 49.67/32.73 inference(quant_inst,[status(thm)],[])).
% 49.67/32.73 tff(22194,plain,
% 49.67/32.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166))),
% 49.67/32.73 inference(modus_ponens,[status(thm)],[22193, 22192])).
% 49.67/32.73 tff(22195,plain,
% 49.67/32.73 (v100(constB166) | (~v101(constB166)) | (~v110(constB166))),
% 49.67/32.73 inference(unit_resolution,[status(thm)],[22194, 318, 22163])).
% 49.67/32.73 tff(22196,plain,
% 49.67/32.73 (v100(constB166) | (~v110(constB166))),
% 49.67/32.73 inference(unit_resolution,[status(thm)],[22195, 22188])).
% 49.67/32.73 tff(22197,plain,
% 49.67/32.73 (v100(constB166)),
% 49.67/32.73 inference(unit_resolution,[status(thm)],[22196, 22171])).
% 49.67/32.73 tff(22198,plain,
% 49.67/32.73 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB165, bitIndex2)) | (~v122(constB165)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB165, bitIndex2)) | (~v122(constB165)))),
% 49.67/32.73 inference(rewrite,[status(thm)],[])).
% 49.67/32.73 tff(22199,plain,
% 49.67/32.73 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB165, bitIndex2)) | (~v122(constB165)))),
% 49.67/32.73 inference(quant_inst,[status(thm)],[])).
% 49.67/32.73 tff(22200,plain,
% 49.67/32.73 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB165, bitIndex2)) | (~v122(constB165))),
% 49.67/32.73 inference(modus_ponens,[status(thm)],[22199, 22198])).
% 49.67/32.73 tff(22201,plain,
% 49.67/32.73 (~v122(constB165)),
% 49.67/32.73 inference(unit_resolution,[status(thm)],[22200, 894, 22074])).
% 49.67/32.73 tff(22202,plain,
% 49.67/32.73 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB165)) | (~v90(constB165, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB165)) | (~v90(constB165, bitIndex1)))),
% 49.67/32.73 inference(rewrite,[status(thm)],[])).
% 49.67/32.73 tff(22203,plain,
% 49.67/32.73 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB165)) | (~v90(constB165, bitIndex1)))),
% 49.67/32.73 inference(quant_inst,[status(thm)],[])).
% 49.67/32.73 tff(22204,plain,
% 49.67/32.73 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB165)) | (~v90(constB165, bitIndex1))),
% 49.67/32.73 inference(modus_ponens,[status(thm)],[22203, 22202])).
% 49.67/32.73 tff(22205,plain,
% 49.67/32.73 (~v119(constB165)),
% 49.67/32.73 inference(unit_resolution,[status(thm)],[22204, 2293, 22105])).
% 49.67/32.73 tff(22206,plain,
% 49.67/32.73 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB165, bitIndex1)) | (~v120(constB165)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB165, bitIndex1)) | (~v120(constB165)))),
% 49.67/32.73 inference(rewrite,[status(thm)],[])).
% 49.67/32.73 tff(22207,plain,
% 49.67/32.73 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB165, bitIndex1)) | (~v120(constB165)))),
% 49.67/32.73 inference(quant_inst,[status(thm)],[])).
% 49.67/32.73 tff(22208,plain,
% 49.67/32.73 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB165, bitIndex1)) | (~v120(constB165))),
% 49.67/32.73 inference(modus_ponens,[status(thm)],[22207, 22206])).
% 49.67/32.73 tff(22209,plain,
% 49.67/32.73 (~v120(constB165)),
% 49.67/32.73 inference(unit_resolution,[status(thm)],[22208, 2312, 22105])).
% 49.67/32.73 tff(22210,plain,
% 49.67/32.73 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB165, bitIndex1)) | (~v123(constB165)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB165, bitIndex1)) | (~v123(constB165)))),
% 49.67/32.73 inference(rewrite,[status(thm)],[])).
% 49.67/32.73 tff(22211,plain,
% 49.67/32.73 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB165, bitIndex1)) | (~v123(constB165)))),
% 49.67/32.73 inference(quant_inst,[status(thm)],[])).
% 49.67/32.73 tff(22212,plain,
% 49.67/32.73 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB165, bitIndex1)) | (~v123(constB165))),
% 49.67/32.73 inference(modus_ponens,[status(thm)],[22211, 22210])).
% 49.67/32.73 tff(22213,plain,
% 49.67/32.73 (~v123(constB165)),
% 49.67/32.73 inference(unit_resolution,[status(thm)],[22212, 774, 22105])).
% 49.67/32.73 tff(22214,plain,
% 49.67/32.73 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB165, bitIndex1)) | (~v124(constB165)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB165, bitIndex1)) | (~v124(constB165)))),
% 49.67/32.73 inference(rewrite,[status(thm)],[])).
% 49.67/32.73 tff(22215,plain,
% 49.67/32.73 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB165, bitIndex1)) | (~v124(constB165)))),
% 49.67/32.73 inference(quant_inst,[status(thm)],[])).
% 49.67/32.73 tff(22216,plain,
% 49.67/32.73 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB165, bitIndex1)) | (~v124(constB165))),
% 49.67/32.73 inference(modus_ponens,[status(thm)],[22215, 22214])).
% 49.67/32.73 tff(22217,plain,
% 49.67/32.73 (~v124(constB165)),
% 49.67/32.73 inference(unit_resolution,[status(thm)],[22216, 763, 22105])).
% 49.67/32.73 tff(22218,plain,
% 49.67/32.73 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB165, bitIndex2)) | (~v121(constB165)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB165, bitIndex2)) | (~v121(constB165)))),
% 49.67/32.73 inference(rewrite,[status(thm)],[])).
% 49.67/32.73 tff(22219,plain,
% 49.67/32.73 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB165, bitIndex2)) | (~v121(constB165)))),
% 49.67/32.73 inference(quant_inst,[status(thm)],[])).
% 49.67/32.73 tff(22220,plain,
% 49.67/32.73 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB165, bitIndex2)) | (~v121(constB165))),
% 49.67/32.73 inference(modus_ponens,[status(thm)],[22219, 22218])).
% 49.67/32.73 tff(22221,plain,
% 49.67/32.73 (~v121(constB165)),
% 49.67/32.73 inference(unit_resolution,[status(thm)],[22220, 883, 22074])).
% 49.67/32.73 tff(22222,plain,
% 49.67/32.73 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB165, bitIndex2)) | v119(constB165) | v123(constB165) | v121(constB165) | v120(constB165) | v124(constB165) | v122(constB165))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB165, bitIndex2)) | v119(constB165) | v123(constB165) | v121(constB165) | v120(constB165) | v124(constB165) | v122(constB165))),
% 49.67/32.73 inference(rewrite,[status(thm)],[])).
% 49.67/32.73 tff(22223,plain,
% 49.67/32.73 ((v120(constB165) | v119(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | (~v130(constB165, bitIndex2))) <=> ((~v130(constB165, bitIndex2)) | v119(constB165) | v123(constB165) | v121(constB165) | v120(constB165) | v124(constB165) | v122(constB165))),
% 49.67/32.73 inference(rewrite,[status(thm)],[])).
% 49.67/32.73 tff(22224,plain,
% 49.67/32.73 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB165) | v119(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | (~v130(constB165, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB165, bitIndex2)) | v119(constB165) | v123(constB165) | v121(constB165) | v120(constB165) | v124(constB165) | v122(constB165)))),
% 49.67/32.73 inference(monotonicity,[status(thm)],[22223])).
% 49.67/32.73 tff(22225,plain,
% 49.67/32.73 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB165) | v119(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | (~v130(constB165, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB165, bitIndex2)) | v119(constB165) | v123(constB165) | v121(constB165) | v120(constB165) | v124(constB165) | v122(constB165))),
% 49.67/32.73 inference(transitivity,[status(thm)],[22224, 22222])).
% 49.67/32.73 tff(22226,plain,
% 49.67/32.73 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB165) | v119(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | (~v130(constB165, bitIndex2)))),
% 49.67/32.73 inference(quant_inst,[status(thm)],[])).
% 49.67/32.73 tff(22227,plain,
% 49.67/32.73 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB165, bitIndex2)) | v119(constB165) | v123(constB165) | v121(constB165) | v120(constB165) | v124(constB165) | v122(constB165)),
% 49.67/32.73 inference(modus_ponens,[status(thm)],[22226, 22225])).
% 49.67/32.73 tff(22228,plain,
% 49.67/32.73 (~v130(constB165, bitIndex2)),
% 49.67/32.73 inference(unit_resolution,[status(thm)],[22227, 1192, 22221, 22217, 22213, 22209, 22205, 22201])).
% 49.67/32.73 tff(22229,plain,
% 49.67/32.73 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB165, bitIndex2)) | v26(constB165) | v130(constB165, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB165, bitIndex2)) | v26(constB165) | v130(constB165, bitIndex2))),
% 49.67/32.73 inference(rewrite,[status(thm)],[])).
% 49.67/32.73 tff(22230,plain,
% 49.67/32.73 ((v26(constB165) | v130(constB165, bitIndex2) | (~v127(constB165, bitIndex2))) <=> ((~v127(constB165, bitIndex2)) | v26(constB165) | v130(constB165, bitIndex2))),
% 49.67/32.73 inference(rewrite,[status(thm)],[])).
% 49.67/32.73 tff(22231,plain,
% 49.67/32.73 (((~![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)))) | ((~v127(constB165, bitIndex2)) | v26(constB165) | v130(constB165, bitIndex2)))),
% 49.67/32.73 inference(monotonicity,[status(thm)],[22230])).
% 49.67/32.73 tff(22232,plain,
% 49.67/32.73 (((~![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)))) | (~v127(constB165, bitIndex2)) | v26(constB165) | v130(constB165, bitIndex2))),
% 49.67/32.73 inference(transitivity,[status(thm)],[22231, 22229])).
% 49.67/32.73 tff(22233,plain,
% 49.67/32.73 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB165) | v130(constB165, bitIndex2) | (~v127(constB165, bitIndex2)))),
% 49.67/32.74 inference(quant_inst,[status(thm)],[])).
% 49.67/32.74 tff(22234,plain,
% 49.67/32.74 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB165, bitIndex2)) | v26(constB165) | v130(constB165, bitIndex2)),
% 49.67/32.74 inference(modus_ponens,[status(thm)],[22233, 22232])).
% 49.67/32.74 tff(22235,plain,
% 49.67/32.74 ((~v127(constB165, bitIndex2)) | v130(constB165, bitIndex2)),
% 49.67/32.74 inference(unit_resolution,[status(thm)],[22234, 1210, 22151])).
% 49.67/32.74 tff(22236,plain,
% 49.67/32.74 (~v127(constB165, bitIndex2)),
% 49.67/32.74 inference(unit_resolution,[status(thm)],[22235, 22228])).
% 49.67/32.74 tff(22237,plain,
% 49.67/32.74 (((~![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)))),
% 49.67/32.74 inference(rewrite,[status(thm)],[])).
% 49.67/32.74 tff(22238,plain,
% 49.67/32.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB165, constB166)) | v127(constB165, bitIndex2) | (~v129(constB166, bitIndex2)))),
% 49.67/32.74 inference(quant_inst,[status(thm)],[])).
% 49.67/32.74 tff(22239,plain,
% 49.67/32.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB165, constB166)) | v127(constB165, bitIndex2) | (~v129(constB166, bitIndex2))),
% 49.67/32.74 inference(modus_ponens,[status(thm)],[22238, 22237])).
% 49.67/32.74 tff(22240,plain,
% 49.67/32.74 (v127(constB165, bitIndex2) | (~v129(constB166, bitIndex2))),
% 49.67/32.74 inference(unit_resolution,[status(thm)],[22239, 1243, 22163])).
% 49.67/32.74 tff(22241,plain,
% 49.67/32.74 (~v129(constB166, bitIndex2)),
% 49.67/32.74 inference(unit_resolution,[status(thm)],[22240, 22236])).
% 49.67/32.74 tff(22242,plain,
% 49.67/32.74 (((~![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)))),
% 49.67/32.74 inference(rewrite,[status(thm)],[])).
% 49.67/32.74 tff(22243,plain,
% 49.67/32.74 (((~v90(constB166, bitIndex2)) | (~v100(constB166)) | v129(constB166, bitIndex2)) <=> ((~v90(constB166, bitIndex2)) | v129(constB166, bitIndex2) | (~v100(constB166)))),
% 49.67/32.74 inference(rewrite,[status(thm)],[])).
% 49.67/32.74 tff(22244,plain,
% 49.67/32.74 (((~![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))))),
% 49.67/32.74 inference(monotonicity,[status(thm)],[22243])).
% 49.67/32.74 tff(22245,plain,
% 49.67/32.74 (((~![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)))),
% 49.67/32.74 inference(transitivity,[status(thm)],[22244, 22242])).
% 49.67/32.74 tff(22246,plain,
% 49.67/32.74 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB166, bitIndex2)) | (~v100(constB166)) | v129(constB166, bitIndex2))),
% 49.67/32.74 inference(quant_inst,[status(thm)],[])).
% 49.67/32.74 tff(22247,plain,
% 49.67/32.74 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB166, bitIndex2)) | v129(constB166, bitIndex2) | (~v100(constB166))),
% 49.67/32.74 inference(modus_ponens,[status(thm)],[22246, 22245])).
% 49.67/32.74 tff(22248,plain,
% 49.67/32.74 ((~v90(constB166, bitIndex2)) | (~v100(constB166))),
% 49.67/32.74 inference(unit_resolution,[status(thm)],[22247, 1258, 22241])).
% 49.67/32.74 tff(22249,plain,
% 49.67/32.74 (~v90(constB166, bitIndex2)),
% 49.67/32.74 inference(unit_resolution,[status(thm)],[22248, 22197])).
% 49.67/32.74 tff(22250,plain,
% 49.67/32.74 ((~v1(constB167)) <=> (~v1(constB167))),
% 49.67/32.74 inference(rewrite,[status(thm)],[])).
% 49.67/32.74 tff(22251,axiom,(~v1(constB167)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_167_1_1')).
% 49.67/32.74 tff(22252,plain,
% 49.67/32.74 (~v1(constB167)),
% 49.67/32.74 inference(modus_ponens,[status(thm)],[22251, 22250])).
% 49.67/32.74 tff(22253,plain,
% 49.67/32.74 (nextState(constB166, constB167) <=> nextState(constB166, constB167)),
% 49.67/32.74 inference(rewrite,[status(thm)],[])).
% 49.67/32.74 tff(22254,axiom,(nextState(constB166, constB167)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_166_1')).
% 49.67/32.74 tff(22255,plain,
% 49.67/32.74 (nextState(constB166, constB167)),
% 49.67/32.74 inference(modus_ponens,[status(thm)],[22254, 22253])).
% 49.67/32.74 tff(22256,plain,
% 49.67/32.74 (((~![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)))),
% 49.67/32.74 inference(rewrite,[status(thm)],[])).
% 49.67/32.74 tff(22257,plain,
% 49.67/32.74 (((~nextState(constB166, constB167)) | (~v101(constB167)) | v1(constB167)) <=> (v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167)))),
% 49.67/32.74 inference(rewrite,[status(thm)],[])).
% 49.67/32.74 tff(22258,plain,
% 49.67/32.74 (((~![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))))),
% 49.67/32.74 inference(monotonicity,[status(thm)],[22257])).
% 49.67/32.74 tff(22259,plain,
% 49.67/32.74 (((~![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)))),
% 49.67/32.74 inference(transitivity,[status(thm)],[22258, 22256])).
% 49.67/32.74 tff(22260,plain,
% 49.67/32.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB166, constB167)) | (~v101(constB167)) | v1(constB167))),
% 49.67/32.74 inference(quant_inst,[status(thm)],[])).
% 49.67/32.74 tff(22261,plain,
% 49.67/32.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167))),
% 49.67/32.74 inference(modus_ponens,[status(thm)],[22260, 22259])).
% 49.67/32.74 tff(22262,plain,
% 49.67/32.74 (~v101(constB167)),
% 49.67/32.74 inference(unit_resolution,[status(thm)],[22261, 49, 22255, 22252])).
% 49.67/32.74 tff(22263,plain,
% 49.67/32.74 (((~![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)))),
% 49.67/32.74 inference(rewrite,[status(thm)],[])).
% 49.67/32.74 tff(22264,plain,
% 49.67/32.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB166, constB167)) | v101(constB167) | (~v100(constB167)))),
% 49.67/32.74 inference(quant_inst,[status(thm)],[])).
% 49.67/32.74 tff(22265,plain,
% 49.67/32.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB166, constB167)) | v101(constB167) | (~v100(constB167))),
% 49.67/32.74 inference(modus_ponens,[status(thm)],[22264, 22263])).
% 49.67/32.74 tff(22266,plain,
% 49.67/32.74 (v101(constB167) | (~v100(constB167))),
% 49.67/32.74 inference(unit_resolution,[status(thm)],[22265, 66, 22255])).
% 49.67/32.74 tff(22267,plain,
% 49.67/32.74 (~v100(constB167)),
% 49.67/32.74 inference(unit_resolution,[status(thm)],[22266, 22262])).
% 49.67/32.74 tff(22268,plain,
% 49.67/32.74 (((~![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)))),
% 49.67/32.74 inference(rewrite,[status(thm)],[])).
% 49.67/32.74 tff(22269,plain,
% 49.67/32.74 (((~nextState(constB166, constB167)) | v90(constB166, bitIndex2) | v100(constB167) | (~v90(constB167, bitIndex2))) <=> (v90(constB166, bitIndex2) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex2)))),
% 49.67/32.74 inference(rewrite,[status(thm)],[])).
% 49.67/32.74 tff(22270,plain,
% 49.67/32.74 (((~![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))))),
% 49.67/32.74 inference(monotonicity,[status(thm)],[22269])).
% 49.67/32.74 tff(22271,plain,
% 49.67/32.74 (((~![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)))),
% 49.67/32.74 inference(transitivity,[status(thm)],[22270, 22268])).
% 49.67/32.74 tff(22272,plain,
% 49.67/32.74 ((~![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)))),
% 49.67/32.74 inference(quant_inst,[status(thm)],[])).
% 49.67/32.74 tff(22273,plain,
% 49.67/32.74 ((~![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))),
% 49.67/32.74 inference(modus_ponens,[status(thm)],[22272, 22271])).
% 49.67/32.74 tff(22274,plain,
% 49.67/32.74 (v90(constB166, bitIndex2) | v100(constB167) | (~v90(constB167, bitIndex2))),
% 49.67/32.74 inference(unit_resolution,[status(thm)],[22273, 81, 22255])).
% 49.67/32.74 tff(22275,plain,
% 49.67/32.74 (v90(constB166, bitIndex2) | (~v90(constB167, bitIndex2))),
% 49.67/32.74 inference(unit_resolution,[status(thm)],[22274, 22267])).
% 49.67/32.74 tff(22276,plain,
% 49.67/32.74 (~v90(constB167, bitIndex2)),
% 49.67/32.74 inference(unit_resolution,[status(thm)],[22275, 22249])).
% 49.67/32.74 tff(22277,plain,
% 49.67/32.74 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB165, bitIndex1)) | v119(constB165) | v123(constB165) | v121(constB165) | v120(constB165) | v124(constB165) | v122(constB165))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB165, bitIndex1)) | v119(constB165) | v123(constB165) | v121(constB165) | v120(constB165) | v124(constB165) | v122(constB165))),
% 49.67/32.74 inference(rewrite,[status(thm)],[])).
% 49.67/32.74 tff(22278,plain,
% 49.67/32.74 ((v120(constB165) | v119(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | (~v130(constB165, bitIndex1))) <=> ((~v130(constB165, bitIndex1)) | v119(constB165) | v123(constB165) | v121(constB165) | v120(constB165) | v124(constB165) | v122(constB165))),
% 49.67/32.74 inference(rewrite,[status(thm)],[])).
% 49.67/32.74 tff(22279,plain,
% 49.67/32.74 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB165) | v119(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | (~v130(constB165, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB165, bitIndex1)) | v119(constB165) | v123(constB165) | v121(constB165) | v120(constB165) | v124(constB165) | v122(constB165)))),
% 49.67/32.74 inference(monotonicity,[status(thm)],[22278])).
% 49.67/32.74 tff(22280,plain,
% 49.67/32.74 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB165) | v119(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | (~v130(constB165, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB165, bitIndex1)) | v119(constB165) | v123(constB165) | v121(constB165) | v120(constB165) | v124(constB165) | v122(constB165))),
% 49.67/32.74 inference(transitivity,[status(thm)],[22279, 22277])).
% 49.67/32.74 tff(22281,plain,
% 49.67/32.74 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB165) | v119(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | (~v130(constB165, bitIndex1)))),
% 49.67/32.74 inference(quant_inst,[status(thm)],[])).
% 49.67/32.74 tff(22282,plain,
% 49.67/32.74 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB165, bitIndex1)) | v119(constB165) | v123(constB165) | v121(constB165) | v120(constB165) | v124(constB165) | v122(constB165)),
% 49.67/32.74 inference(modus_ponens,[status(thm)],[22281, 22280])).
% 49.67/32.74 tff(22283,plain,
% 49.67/32.74 (~v130(constB165, bitIndex1)),
% 49.67/32.74 inference(unit_resolution,[status(thm)],[22282, 1143, 22221, 22217, 22213, 22209, 22205, 22201])).
% 49.67/32.74 tff(22284,plain,
% 49.67/32.74 (((~![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))),
% 49.67/32.74 inference(rewrite,[status(thm)],[])).
% 49.67/32.74 tff(22285,plain,
% 49.67/32.74 ((v26(constB165) | v130(constB165, bitIndex1) | (~v127(constB165, bitIndex1))) <=> ((~v127(constB165, bitIndex1)) | v26(constB165) | v130(constB165, bitIndex1))),
% 49.67/32.74 inference(rewrite,[status(thm)],[])).
% 49.67/32.74 tff(22286,plain,
% 49.67/32.74 (((~![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)))),
% 49.67/32.74 inference(monotonicity,[status(thm)],[22285])).
% 49.67/32.74 tff(22287,plain,
% 49.67/32.74 (((~![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))),
% 49.67/32.74 inference(transitivity,[status(thm)],[22286, 22284])).
% 49.67/32.74 tff(22288,plain,
% 49.67/32.74 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB165) | v130(constB165, bitIndex1) | (~v127(constB165, bitIndex1)))),
% 49.67/32.74 inference(quant_inst,[status(thm)],[])).
% 49.67/32.74 tff(22289,plain,
% 49.67/32.74 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB165, bitIndex1)) | v26(constB165) | v130(constB165, bitIndex1)),
% 49.67/32.74 inference(modus_ponens,[status(thm)],[22288, 22287])).
% 49.67/32.74 tff(22290,plain,
% 49.67/32.74 ((~v127(constB165, bitIndex1)) | v130(constB165, bitIndex1)),
% 49.67/32.74 inference(unit_resolution,[status(thm)],[22289, 450, 22151])).
% 49.67/32.74 tff(22291,plain,
% 49.67/32.74 (~v127(constB165, bitIndex1)),
% 49.67/32.74 inference(unit_resolution,[status(thm)],[22290, 22283])).
% 49.67/32.74 tff(22292,plain,
% 49.67/32.74 (((~![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)))),
% 49.67/32.74 inference(rewrite,[status(thm)],[])).
% 49.67/32.74 tff(22293,plain,
% 49.67/32.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB165, constB166)) | v127(constB165, bitIndex1) | (~v129(constB166, bitIndex1)))),
% 49.67/32.74 inference(quant_inst,[status(thm)],[])).
% 49.67/32.74 tff(22294,plain,
% 49.67/32.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB165, constB166)) | v127(constB165, bitIndex1) | (~v129(constB166, bitIndex1))),
% 49.67/32.74 inference(modus_ponens,[status(thm)],[22293, 22292])).
% 49.67/32.74 tff(22295,plain,
% 49.67/32.74 (v127(constB165, bitIndex1) | (~v129(constB166, bitIndex1))),
% 49.67/32.74 inference(unit_resolution,[status(thm)],[22294, 468, 22163])).
% 49.67/32.74 tff(22296,plain,
% 49.67/32.74 (~v129(constB166, bitIndex1)),
% 49.67/32.74 inference(unit_resolution,[status(thm)],[22295, 22291])).
% 49.67/32.74 tff(22297,plain,
% 49.67/32.74 (((~![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)))),
% 49.67/32.74 inference(rewrite,[status(thm)],[])).
% 49.67/32.74 tff(22298,plain,
% 49.67/32.74 (((~v90(constB166, bitIndex1)) | (~v100(constB166)) | v129(constB166, bitIndex1)) <=> ((~v90(constB166, bitIndex1)) | v129(constB166, bitIndex1) | (~v100(constB166)))),
% 49.67/32.74 inference(rewrite,[status(thm)],[])).
% 49.67/32.74 tff(22299,plain,
% 49.67/32.74 (((~![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))))),
% 49.67/32.74 inference(monotonicity,[status(thm)],[22298])).
% 49.67/32.74 tff(22300,plain,
% 49.67/32.74 (((~![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)))),
% 49.67/32.74 inference(transitivity,[status(thm)],[22299, 22297])).
% 49.67/32.74 tff(22301,plain,
% 49.67/32.74 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB166, bitIndex1)) | (~v100(constB166)) | v129(constB166, bitIndex1))),
% 49.67/32.74 inference(quant_inst,[status(thm)],[])).
% 49.67/32.74 tff(22302,plain,
% 49.67/32.74 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB166, bitIndex1)) | v129(constB166, bitIndex1) | (~v100(constB166))),
% 49.67/32.74 inference(modus_ponens,[status(thm)],[22301, 22300])).
% 49.67/32.74 tff(22303,plain,
% 49.67/32.74 ((~v90(constB166, bitIndex1)) | (~v100(constB166))),
% 49.67/32.74 inference(unit_resolution,[status(thm)],[22302, 483, 22296])).
% 49.67/32.74 tff(22304,plain,
% 49.67/32.74 (~v90(constB166, bitIndex1)),
% 49.67/32.74 inference(unit_resolution,[status(thm)],[22303, 22197])).
% 49.67/32.74 tff(22305,plain,
% 49.67/32.74 (((~![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)))),
% 49.67/32.74 inference(rewrite,[status(thm)],[])).
% 49.67/32.74 tff(22306,plain,
% 49.67/32.74 (((~nextState(constB166, constB167)) | v90(constB166, bitIndex1) | v100(constB167) | (~v90(constB167, bitIndex1))) <=> (v90(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, bitIndex1)))),
% 49.67/32.74 inference(rewrite,[status(thm)],[])).
% 49.67/32.74 tff(22307,plain,
% 49.67/32.74 (((~![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))))),
% 49.67/32.74 inference(monotonicity,[status(thm)],[22306])).
% 49.67/32.74 tff(22308,plain,
% 49.67/32.74 (((~![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)))),
% 49.67/32.74 inference(transitivity,[status(thm)],[22307, 22305])).
% 49.67/32.74 tff(22309,plain,
% 49.67/32.74 ((~![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)))),
% 49.67/32.74 inference(quant_inst,[status(thm)],[])).
% 49.67/32.74 tff(22310,plain,
% 49.67/32.74 ((~![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))),
% 49.67/32.74 inference(modus_ponens,[status(thm)],[22309, 22308])).
% 49.67/32.74 tff(22311,plain,
% 49.67/32.74 (v90(constB166, bitIndex1) | v100(constB167) | (~v90(constB167, bitIndex1))),
% 49.67/32.74 inference(unit_resolution,[status(thm)],[22310, 102, 22255])).
% 49.67/32.74 tff(22312,plain,
% 49.67/32.74 (v90(constB166, bitIndex1) | (~v90(constB167, bitIndex1))),
% 49.67/32.74 inference(unit_resolution,[status(thm)],[22311, 22267])).
% 49.67/32.74 tff(22313,plain,
% 49.67/32.74 (~v90(constB167, bitIndex1)),
% 49.67/32.74 inference(unit_resolution,[status(thm)],[22312, 22304])).
% 49.67/32.74 tff(22314,plain,
% 49.67/32.74 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB165) | v123(constB165) | v121(constB165) | v120(constB165) | v124(constB165) | v122(constB165) | v130(constB165, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB165) | v123(constB165) | v121(constB165) | v120(constB165) | v124(constB165) | v122(constB165) | v130(constB165, bitIndex0))),
% 49.67/32.74 inference(rewrite,[status(thm)],[])).
% 49.67/32.74 tff(22315,plain,
% 49.67/32.74 ((v120(constB165) | v119(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | v130(constB165, bitIndex0)) <=> (v119(constB165) | v123(constB165) | v121(constB165) | v120(constB165) | v124(constB165) | v122(constB165) | v130(constB165, bitIndex0))),
% 49.67/32.74 inference(rewrite,[status(thm)],[])).
% 49.67/32.74 tff(22316,plain,
% 49.67/32.74 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB165) | v119(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | v130(constB165, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v119(constB165) | v123(constB165) | v121(constB165) | v120(constB165) | v124(constB165) | v122(constB165) | v130(constB165, bitIndex0)))),
% 49.67/32.74 inference(monotonicity,[status(thm)],[22315])).
% 49.67/32.74 tff(22317,plain,
% 49.67/32.74 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB165) | v119(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | v130(constB165, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB165) | v123(constB165) | v121(constB165) | v120(constB165) | v124(constB165) | v122(constB165) | v130(constB165, bitIndex0))),
% 49.67/32.74 inference(transitivity,[status(thm)],[22316, 22314])).
% 49.67/32.74 tff(22318,plain,
% 49.67/32.74 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB165) | v119(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | v130(constB165, bitIndex0))),
% 49.67/32.74 inference(quant_inst,[status(thm)],[])).
% 49.67/32.74 tff(22319,plain,
% 49.67/32.74 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v119(constB165) | v123(constB165) | v121(constB165) | v120(constB165) | v124(constB165) | v122(constB165) | v130(constB165, bitIndex0)),
% 49.67/32.74 inference(modus_ponens,[status(thm)],[22318, 22317])).
% 49.67/32.74 tff(22320,plain,
% 49.67/32.74 (v130(constB165, bitIndex0)),
% 49.67/32.74 inference(unit_resolution,[status(thm)],[22319, 908, 22221, 22217, 22213, 22209, 22205, 22201])).
% 49.67/32.74 tff(22321,plain,
% 49.67/32.74 (((~![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))),
% 49.67/32.74 inference(rewrite,[status(thm)],[])).
% 49.67/32.74 tff(22322,plain,
% 49.67/32.74 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB165) | (~v130(constB165, bitIndex0)) | v127(constB165, bitIndex0))),
% 49.67/32.74 inference(quant_inst,[status(thm)],[])).
% 49.67/32.74 tff(22323,plain,
% 49.67/32.74 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB165) | (~v130(constB165, bitIndex0)) | v127(constB165, bitIndex0)),
% 49.67/32.74 inference(modus_ponens,[status(thm)],[22322, 22321])).
% 49.67/32.74 tff(22324,plain,
% 49.67/32.74 ((~v130(constB165, bitIndex0)) | v127(constB165, bitIndex0)),
% 49.67/32.74 inference(unit_resolution,[status(thm)],[22323, 926, 22151])).
% 49.67/32.74 tff(22325,plain,
% 49.67/32.74 (v127(constB165, bitIndex0)),
% 49.67/32.74 inference(unit_resolution,[status(thm)],[22324, 22320])).
% 49.67/32.74 tff(22326,plain,
% 49.67/32.74 (((~![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))),
% 49.67/32.74 inference(rewrite,[status(thm)],[])).
% 49.67/32.74 tff(22327,plain,
% 49.67/32.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB165, constB166)) | (~v127(constB165, bitIndex0)) | v129(constB166, bitIndex0))),
% 49.67/32.75 inference(quant_inst,[status(thm)],[])).
% 49.67/32.75 tff(22328,plain,
% 49.67/32.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB165, constB166)) | (~v127(constB165, bitIndex0)) | v129(constB166, bitIndex0)),
% 49.67/32.75 inference(modus_ponens,[status(thm)],[22327, 22326])).
% 49.67/32.75 tff(22329,plain,
% 49.67/32.75 ((~v127(constB165, bitIndex0)) | v129(constB166, bitIndex0)),
% 49.67/32.75 inference(unit_resolution,[status(thm)],[22328, 944, 22163])).
% 49.67/32.75 tff(22330,plain,
% 49.67/32.75 (v129(constB166, bitIndex0)),
% 49.67/32.75 inference(unit_resolution,[status(thm)],[22329, 22325])).
% 49.67/32.75 tff(22331,plain,
% 49.67/32.75 (((~![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)))),
% 49.67/32.75 inference(rewrite,[status(thm)],[])).
% 49.67/32.75 tff(22332,plain,
% 49.67/32.75 ((v90(constB166, bitIndex0) | (~v100(constB166)) | (~v129(constB166, bitIndex0))) <=> (v90(constB166, bitIndex0) | (~v129(constB166, bitIndex0)) | (~v100(constB166)))),
% 49.67/32.75 inference(rewrite,[status(thm)],[])).
% 49.67/32.75 tff(22333,plain,
% 49.67/32.75 (((~![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))))),
% 49.67/32.75 inference(monotonicity,[status(thm)],[22332])).
% 49.67/32.75 tff(22334,plain,
% 49.67/32.75 (((~![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)))),
% 49.67/32.75 inference(transitivity,[status(thm)],[22333, 22331])).
% 49.67/32.75 tff(22335,plain,
% 49.67/32.75 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB166, bitIndex0) | (~v100(constB166)) | (~v129(constB166, bitIndex0)))),
% 49.67/32.75 inference(quant_inst,[status(thm)],[])).
% 49.67/32.75 tff(22336,plain,
% 49.67/32.75 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB166, bitIndex0) | (~v129(constB166, bitIndex0)) | (~v100(constB166))),
% 49.67/32.75 inference(modus_ponens,[status(thm)],[22335, 22334])).
% 49.67/32.75 tff(22337,plain,
% 49.67/32.75 (v90(constB166, bitIndex0) | (~v100(constB166))),
% 49.67/32.75 inference(unit_resolution,[status(thm)],[22336, 1088, 22330])).
% 49.67/32.75 tff(22338,plain,
% 49.67/32.75 (v90(constB166, bitIndex0)),
% 49.67/32.75 inference(unit_resolution,[status(thm)],[22337, 22197])).
% 49.67/32.75 tff(22339,plain,
% 49.67/32.75 (((~![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))),
% 49.67/32.75 inference(rewrite,[status(thm)],[])).
% 49.67/32.75 tff(22340,plain,
% 49.67/32.75 (((~nextState(constB166, constB167)) | (~v90(constB166, bitIndex0)) | v100(constB167) | v90(constB167, bitIndex0)) <=> ((~v90(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, bitIndex0))),
% 49.67/32.75 inference(rewrite,[status(thm)],[])).
% 49.67/32.75 tff(22341,plain,
% 49.67/32.75 (((~![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)))),
% 49.67/32.75 inference(monotonicity,[status(thm)],[22340])).
% 49.67/32.75 tff(22342,plain,
% 49.67/32.75 (((~![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))),
% 49.67/32.75 inference(transitivity,[status(thm)],[22341, 22339])).
% 49.67/32.75 tff(22343,plain,
% 49.67/32.75 ((~![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))),
% 49.67/32.75 inference(quant_inst,[status(thm)],[])).
% 49.67/32.75 tff(22344,plain,
% 49.67/32.75 ((~![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)),
% 49.67/32.75 inference(modus_ponens,[status(thm)],[22343, 22342])).
% 49.67/32.75 tff(22345,plain,
% 49.67/32.75 ((~v90(constB166, bitIndex0)) | v100(constB167) | v90(constB167, bitIndex0)),
% 49.67/32.75 inference(unit_resolution,[status(thm)],[22344, 1124, 22255])).
% 49.67/32.75 tff(22346,plain,
% 49.67/32.75 ((~v90(constB166, bitIndex0)) | v90(constB167, bitIndex0)),
% 49.67/32.75 inference(unit_resolution,[status(thm)],[22345, 22267])).
% 49.67/32.75 tff(22347,plain,
% 49.67/32.75 (v90(constB167, bitIndex0)),
% 49.67/32.75 inference(unit_resolution,[status(thm)],[22346, 22338])).
% 49.67/32.75 tff(22348,plain,
% 49.67/32.75 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB167, bitIndex0)) | v90(constB167, bitIndex1) | v90(constB167, bitIndex2) | v120(constB167))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB167, bitIndex0)) | v90(constB167, bitIndex1) | v90(constB167, bitIndex2) | v120(constB167))),
% 49.67/32.75 inference(rewrite,[status(thm)],[])).
% 49.67/32.75 tff(22349,plain,
% 49.67/32.75 (((~v90(constB167, bitIndex0)) | v120(constB167) | v90(constB167, bitIndex1) | v90(constB167, bitIndex2)) <=> ((~v90(constB167, bitIndex0)) | v90(constB167, bitIndex1) | v90(constB167, bitIndex2) | v120(constB167))),
% 49.67/32.75 inference(rewrite,[status(thm)],[])).
% 49.67/32.75 tff(22350,plain,
% 49.67/32.75 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB167, bitIndex0)) | v120(constB167) | v90(constB167, bitIndex1) | v90(constB167, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB167, bitIndex0)) | v90(constB167, bitIndex1) | v90(constB167, bitIndex2) | v120(constB167)))),
% 49.67/32.75 inference(monotonicity,[status(thm)],[22349])).
% 49.67/32.75 tff(22351,plain,
% 49.67/32.75 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB167, bitIndex0)) | v120(constB167) | v90(constB167, bitIndex1) | v90(constB167, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB167, bitIndex0)) | v90(constB167, bitIndex1) | v90(constB167, bitIndex2) | v120(constB167))),
% 49.67/32.75 inference(transitivity,[status(thm)],[22350, 22348])).
% 49.67/32.75 tff(22352,plain,
% 49.67/32.75 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB167, bitIndex0)) | v120(constB167) | v90(constB167, bitIndex1) | v90(constB167, bitIndex2))),
% 49.67/32.75 inference(quant_inst,[status(thm)],[])).
% 49.67/32.75 tff(22353,plain,
% 49.67/32.75 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB167, bitIndex0)) | v90(constB167, bitIndex1) | v90(constB167, bitIndex2) | v120(constB167)),
% 49.67/32.75 inference(modus_ponens,[status(thm)],[22352, 22351])).
% 49.67/32.75 tff(22354,plain,
% 49.67/32.75 (v120(constB167)),
% 49.67/32.75 inference(unit_resolution,[status(thm)],[22353, 1285, 22347, 22313, 22276])).
% 49.67/32.75 tff(22355,plain,
% 49.67/32.75 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB167) | (~v120(constB167)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB167) | (~v120(constB167)))),
% 49.67/32.75 inference(rewrite,[status(thm)],[])).
% 49.67/32.75 tff(22356,plain,
% 49.67/32.75 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB167) | (~v120(constB167)))),
% 49.67/32.75 inference(quant_inst,[status(thm)],[])).
% 49.67/32.75 tff(22357,plain,
% 49.67/32.75 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB167) | (~v120(constB167))),
% 49.67/32.75 inference(modus_ponens,[status(thm)],[22356, 22355])).
% 49.67/32.75 tff(22358,plain,
% 49.67/32.75 (v118(constB167)),
% 49.67/32.75 inference(unit_resolution,[status(thm)],[22357, 1302, 22354])).
% 49.67/32.75 tff(22359,plain,
% 49.67/32.75 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB167) | (~v118(constB167)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB167) | (~v118(constB167)))),
% 49.67/32.75 inference(rewrite,[status(thm)],[])).
% 49.67/32.75 tff(22360,plain,
% 49.67/32.75 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB167) | (~v118(constB167)))),
% 49.67/32.75 inference(quant_inst,[status(thm)],[])).
% 49.67/32.75 tff(22361,plain,
% 49.67/32.75 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB167) | (~v118(constB167))),
% 49.67/32.75 inference(modus_ponens,[status(thm)],[22360, 22359])).
% 49.67/32.75 tff(22362,plain,
% 49.67/32.75 (v117(constB167)),
% 49.67/32.75 inference(unit_resolution,[status(thm)],[22361, 166, 22358])).
% 49.67/32.75 tff(22363,plain,
% 49.67/32.75 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB167) | (~v117(constB167)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB167) | (~v117(constB167)))),
% 49.67/32.75 inference(rewrite,[status(thm)],[])).
% 49.67/32.75 tff(22364,plain,
% 49.67/32.75 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB167) | (~v117(constB167)))),
% 49.67/32.75 inference(quant_inst,[status(thm)],[])).
% 49.67/32.75 tff(22365,plain,
% 49.67/32.75 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB167) | (~v117(constB167))),
% 49.67/32.75 inference(modus_ponens,[status(thm)],[22364, 22363])).
% 49.67/32.75 tff(22366,plain,
% 49.67/32.75 (v116(constB167)),
% 49.67/32.75 inference(unit_resolution,[status(thm)],[22365, 177, 22362])).
% 49.67/32.75 tff(22367,plain,
% 49.67/32.75 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB167) | (~v116(constB167)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB167) | (~v116(constB167)))),
% 49.67/32.75 inference(rewrite,[status(thm)],[])).
% 49.67/32.75 tff(22368,plain,
% 49.67/32.75 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB167) | (~v116(constB167)))),
% 49.67/32.75 inference(quant_inst,[status(thm)],[])).
% 49.67/32.75 tff(22369,plain,
% 49.67/32.75 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB167) | (~v116(constB167))),
% 49.67/32.75 inference(modus_ponens,[status(thm)],[22368, 22367])).
% 49.67/32.75 tff(22370,plain,
% 49.67/32.75 (v115(constB167)),
% 49.67/32.75 inference(unit_resolution,[status(thm)],[22369, 188, 22366])).
% 49.67/32.75 tff(22371,plain,
% 49.67/32.75 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB167) | (~v115(constB167)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB167) | (~v115(constB167)))),
% 49.67/32.75 inference(rewrite,[status(thm)],[])).
% 49.67/32.75 tff(22372,plain,
% 49.67/32.75 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB167) | (~v115(constB167)))),
% 49.67/32.75 inference(quant_inst,[status(thm)],[])).
% 49.67/32.75 tff(22373,plain,
% 49.67/32.75 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB167) | (~v115(constB167))),
% 49.67/32.75 inference(modus_ponens,[status(thm)],[22372, 22371])).
% 49.67/32.75 tff(22374,plain,
% 49.67/32.75 (v114(constB167)),
% 49.67/32.75 inference(unit_resolution,[status(thm)],[22373, 199, 22370])).
% 49.67/32.75 tff(22375,plain,
% 49.67/32.75 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB167) | (~v114(constB167)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB167) | (~v114(constB167)))),
% 49.67/32.75 inference(rewrite,[status(thm)],[])).
% 49.67/32.75 tff(22376,plain,
% 49.67/32.75 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB167) | (~v114(constB167)))),
% 49.67/32.75 inference(quant_inst,[status(thm)],[])).
% 49.67/32.75 tff(22377,plain,
% 49.67/32.75 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB167) | (~v114(constB167))),
% 49.67/32.75 inference(modus_ponens,[status(thm)],[22376, 22375])).
% 49.67/32.75 tff(22378,plain,
% 49.67/32.75 (v113(constB167)),
% 49.67/32.75 inference(unit_resolution,[status(thm)],[22377, 210, 22374])).
% 49.67/32.75 tff(22379,assumption,(v26(constB167)), introduced(assumption)).
% 49.67/32.75 tff(22380,plain,
% 49.67/32.75 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB167))),
% 49.67/32.75 inference(quant_inst,[status(thm)],[])).
% 49.67/32.75 tff(22381,plain,
% 49.67/32.75 ($false),
% 49.67/32.75 inference(unit_resolution,[status(thm)],[22380, 16, 22379])).
% 49.67/32.75 tff(22382,plain,(~v26(constB167)), inference(lemma,lemma(discharge,[]))).
% 49.67/32.75 tff(22383,plain,
% 49.67/32.75 (((~![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)))),
% 49.67/32.75 inference(rewrite,[status(thm)],[])).
% 49.67/32.75 tff(22384,plain,
% 49.67/32.75 ((v26(constB167) | (~v113(constB167)) | v112(constB167)) <=> (v26(constB167) | v112(constB167) | (~v113(constB167)))),
% 49.67/32.75 inference(rewrite,[status(thm)],[])).
% 49.67/32.75 tff(22385,plain,
% 49.67/32.75 (((~![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))))),
% 49.67/32.75 inference(monotonicity,[status(thm)],[22384])).
% 49.67/32.75 tff(22386,plain,
% 49.67/32.75 (((~![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)))),
% 49.67/32.75 inference(transitivity,[status(thm)],[22385, 22383])).
% 49.67/32.75 tff(22387,plain,
% 49.67/32.75 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB167) | (~v113(constB167)) | v112(constB167))),
% 49.67/32.75 inference(quant_inst,[status(thm)],[])).
% 49.67/32.75 tff(22388,plain,
% 49.67/32.75 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB167) | v112(constB167) | (~v113(constB167))),
% 49.67/32.75 inference(modus_ponens,[status(thm)],[22387, 22386])).
% 49.67/32.75 tff(22389,plain,
% 49.67/32.75 (v112(constB167) | (~v113(constB167))),
% 49.67/32.75 inference(unit_resolution,[status(thm)],[22388, 224, 22382])).
% 49.67/32.75 tff(22390,plain,
% 49.67/32.75 (v112(constB167)),
% 49.67/32.75 inference(unit_resolution,[status(thm)],[22389, 22378])).
% 49.67/32.75 tff(22391,plain,
% 49.67/32.75 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB167) | (~v112(constB167)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB167) | (~v112(constB167)))),
% 49.67/32.75 inference(rewrite,[status(thm)],[])).
% 49.67/32.75 tff(22392,plain,
% 49.67/32.75 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB167) | (~v112(constB167)))),
% 49.67/32.75 inference(quant_inst,[status(thm)],[])).
% 49.67/32.75 tff(22393,plain,
% 49.67/32.75 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB167) | (~v112(constB167))),
% 49.67/32.75 inference(modus_ponens,[status(thm)],[22392, 22391])).
% 49.67/32.75 tff(22394,plain,
% 49.67/32.75 (v108(constB167)),
% 49.67/32.75 inference(unit_resolution,[status(thm)],[22393, 236, 22390])).
% 49.67/32.75 tff(22395,plain,
% 49.67/32.75 (nextState(constB167, constB168) <=> nextState(constB167, constB168)),
% 49.67/32.75 inference(rewrite,[status(thm)],[])).
% 49.67/32.75 tff(22396,axiom,(nextState(constB167, constB168)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_167_1')).
% 49.67/32.75 tff(22397,plain,
% 49.67/32.75 (nextState(constB167, constB168)),
% 49.67/32.75 inference(modus_ponens,[status(thm)],[22396, 22395])).
% 49.67/32.75 tff(22398,plain,
% 49.67/32.75 (((~![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)))),
% 49.67/32.75 inference(rewrite,[status(thm)],[])).
% 49.67/32.75 tff(22399,plain,
% 49.67/32.75 (((~nextState(constB167, constB168)) | (~v108(constB167)) | v110(constB168)) <=> ((~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167)))),
% 49.67/32.75 inference(rewrite,[status(thm)],[])).
% 49.67/32.75 tff(22400,plain,
% 49.67/32.75 (((~![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))))),
% 49.67/32.75 inference(monotonicity,[status(thm)],[22399])).
% 49.67/32.75 tff(22401,plain,
% 49.67/32.75 (((~![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)))),
% 49.67/32.75 inference(transitivity,[status(thm)],[22400, 22398])).
% 49.67/32.75 tff(22402,plain,
% 49.67/32.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB167, constB168)) | (~v108(constB167)) | v110(constB168))),
% 49.67/32.75 inference(quant_inst,[status(thm)],[])).
% 49.67/32.75 tff(22403,plain,
% 49.67/32.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167))),
% 49.67/32.75 inference(modus_ponens,[status(thm)],[22402, 22401])).
% 49.67/32.75 tff(22404,plain,
% 49.67/32.75 (v110(constB168) | (~v108(constB167))),
% 49.67/32.75 inference(unit_resolution,[status(thm)],[22403, 253, 22397])).
% 49.67/32.75 tff(22405,plain,
% 49.67/32.75 (v110(constB168)),
% 49.67/32.75 inference(unit_resolution,[status(thm)],[22404, 22394])).
% 49.67/32.75 tff(22406,plain,
% 49.67/32.75 (((~![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)))),
% 49.67/32.75 inference(rewrite,[status(thm)],[])).
% 49.67/32.75 tff(22407,plain,
% 49.67/32.75 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB167) | (~nextState(constB167, constB168)) | (~v104(constB168)))),
% 49.67/32.75 inference(quant_inst,[status(thm)],[])).
% 49.67/32.75 tff(22408,plain,
% 49.67/32.75 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB167) | (~nextState(constB167, constB168)) | (~v104(constB168))),
% 49.67/32.75 inference(modus_ponens,[status(thm)],[22407, 22406])).
% 49.67/32.75 tff(22409,plain,
% 49.67/32.75 (~v104(constB168)),
% 49.67/32.75 inference(unit_resolution,[status(thm)],[22408, 271, 22397, 22252])).
% 49.67/32.75 tff(22410,plain,
% 49.67/32.75 (((~![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))),
% 49.67/32.75 inference(rewrite,[status(thm)],[])).
% 49.67/32.75 tff(22411,plain,
% 49.67/32.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB167, constB168)) | v102(constB168) | v104(constB168))),
% 49.67/32.75 inference(quant_inst,[status(thm)],[])).
% 49.67/32.75 tff(22412,plain,
% 49.67/32.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB167, constB168)) | v102(constB168) | v104(constB168)),
% 49.67/32.75 inference(modus_ponens,[status(thm)],[22411, 22410])).
% 49.67/32.75 tff(22413,plain,
% 49.67/32.75 (v102(constB168) | v104(constB168)),
% 49.67/32.75 inference(unit_resolution,[status(thm)],[22412, 285, 22397])).
% 49.67/32.75 tff(22414,plain,
% 49.67/32.75 (v102(constB168)),
% 49.67/32.75 inference(unit_resolution,[status(thm)],[22413, 22409])).
% 49.67/32.75 tff(22415,plain,
% 49.67/32.75 (v1(constB168) <=> v1(constB168)),
% 49.67/32.75 inference(rewrite,[status(thm)],[])).
% 49.67/32.75 tff(22416,axiom,(v1(constB168)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_168_1')).
% 49.67/32.75 tff(22417,plain,
% 49.67/32.75 (v1(constB168)),
% 49.67/32.75 inference(modus_ponens,[status(thm)],[22416, 22415])).
% 49.67/32.75 tff(22418,plain,
% 49.67/32.75 (((~![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)))),
% 49.67/32.75 inference(rewrite,[status(thm)],[])).
% 49.67/32.75 tff(22419,plain,
% 49.67/32.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB167, constB168)) | v101(constB168) | (~v102(constB168)) | (~v1(constB168)))),
% 49.67/32.75 inference(quant_inst,[status(thm)],[])).
% 49.67/32.75 tff(22420,plain,
% 49.67/32.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB167, constB168)) | v101(constB168) | (~v102(constB168)) | (~v1(constB168))),
% 49.67/32.75 inference(modus_ponens,[status(thm)],[22419, 22418])).
% 49.67/32.75 tff(22421,plain,
% 49.67/32.75 (v101(constB168) | (~v102(constB168))),
% 49.67/32.75 inference(unit_resolution,[status(thm)],[22420, 303, 22397, 22417])).
% 49.67/32.75 tff(22422,plain,
% 49.67/32.75 (v101(constB168)),
% 49.67/32.75 inference(unit_resolution,[status(thm)],[22421, 22414])).
% 49.67/32.75 tff(22423,plain,
% 49.67/32.75 (((~![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)))),
% 49.67/32.75 inference(rewrite,[status(thm)],[])).
% 49.67/32.75 tff(22424,plain,
% 49.67/32.75 (((~nextState(constB167, constB168)) | (~v101(constB168)) | (~v110(constB168)) | v100(constB168)) <=> ((~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168)))),
% 49.67/32.75 inference(rewrite,[status(thm)],[])).
% 49.67/32.75 tff(22425,plain,
% 49.67/32.75 (((~![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))))),
% 49.67/32.75 inference(monotonicity,[status(thm)],[22424])).
% 49.67/32.75 tff(22426,plain,
% 49.67/32.75 (((~![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)))),
% 49.67/32.75 inference(transitivity,[status(thm)],[22425, 22423])).
% 49.67/32.75 tff(22427,plain,
% 49.67/32.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB167, constB168)) | (~v101(constB168)) | (~v110(constB168)) | v100(constB168))),
% 49.67/32.75 inference(quant_inst,[status(thm)],[])).
% 49.67/32.75 tff(22428,plain,
% 49.67/32.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168))),
% 49.67/32.75 inference(modus_ponens,[status(thm)],[22427, 22426])).
% 49.67/32.75 tff(22429,plain,
% 49.67/32.75 (v100(constB168) | (~v101(constB168)) | (~v110(constB168))),
% 49.67/32.75 inference(unit_resolution,[status(thm)],[22428, 318, 22397])).
% 49.67/32.75 tff(22430,plain,
% 49.67/32.75 (v100(constB168) | (~v110(constB168))),
% 49.67/32.75 inference(unit_resolution,[status(thm)],[22429, 22422])).
% 49.67/32.75 tff(22431,plain,
% 49.67/32.75 (v100(constB168)),
% 49.67/32.75 inference(unit_resolution,[status(thm)],[22430, 22405])).
% 49.67/32.75 tff(22432,plain,
% 49.67/32.75 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB167)) | (~v130(constB167, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB167)) | (~v130(constB167, bitIndex2)))),
% 49.67/32.75 inference(rewrite,[status(thm)],[])).
% 49.67/32.75 tff(22433,plain,
% 49.67/32.75 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB167)) | (~v130(constB167, bitIndex2)))),
% 49.67/32.75 inference(quant_inst,[status(thm)],[])).
% 49.67/32.75 tff(22434,plain,
% 49.67/32.75 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB167)) | (~v130(constB167, bitIndex2))),
% 49.67/32.75 inference(modus_ponens,[status(thm)],[22433, 22432])).
% 49.67/32.75 tff(22435,plain,
% 49.67/32.75 (~v130(constB167, bitIndex2)),
% 49.67/32.75 inference(unit_resolution,[status(thm)],[22434, 1383, 22354])).
% 49.67/32.75 tff(22436,plain,
% 49.67/32.75 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB167, bitIndex2)) | v26(constB167) | v130(constB167, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB167, bitIndex2)) | v26(constB167) | v130(constB167, bitIndex2))),
% 49.67/32.75 inference(rewrite,[status(thm)],[])).
% 49.67/32.75 tff(22437,plain,
% 49.67/32.75 ((v26(constB167) | v130(constB167, bitIndex2) | (~v127(constB167, bitIndex2))) <=> ((~v127(constB167, bitIndex2)) | v26(constB167) | v130(constB167, bitIndex2))),
% 49.67/32.75 inference(rewrite,[status(thm)],[])).
% 49.67/32.75 tff(22438,plain,
% 49.67/32.75 (((~![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)))) | ((~v127(constB167, bitIndex2)) | v26(constB167) | v130(constB167, bitIndex2)))),
% 49.67/32.75 inference(monotonicity,[status(thm)],[22437])).
% 49.67/32.75 tff(22439,plain,
% 49.67/32.75 (((~![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)))) | (~v127(constB167, bitIndex2)) | v26(constB167) | v130(constB167, bitIndex2))),
% 49.67/32.75 inference(transitivity,[status(thm)],[22438, 22436])).
% 49.67/32.75 tff(22440,plain,
% 49.67/32.75 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB167) | v130(constB167, bitIndex2) | (~v127(constB167, bitIndex2)))),
% 49.67/32.75 inference(quant_inst,[status(thm)],[])).
% 49.67/32.75 tff(22441,plain,
% 49.67/32.75 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB167, bitIndex2)) | v26(constB167) | v130(constB167, bitIndex2)),
% 49.67/32.75 inference(modus_ponens,[status(thm)],[22440, 22439])).
% 49.67/32.75 tff(22442,plain,
% 49.67/32.75 ((~v127(constB167, bitIndex2)) | v130(constB167, bitIndex2)),
% 49.67/32.75 inference(unit_resolution,[status(thm)],[22441, 1210, 22382])).
% 49.67/32.75 tff(22443,plain,
% 49.67/32.75 (~v127(constB167, bitIndex2)),
% 49.67/32.75 inference(unit_resolution,[status(thm)],[22442, 22435])).
% 49.67/32.75 tff(22444,plain,
% 49.67/32.75 (((~![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)))),
% 49.67/32.75 inference(rewrite,[status(thm)],[])).
% 49.67/32.75 tff(22445,plain,
% 49.67/32.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB167, constB168)) | v127(constB167, bitIndex2) | (~v129(constB168, bitIndex2)))),
% 49.67/32.75 inference(quant_inst,[status(thm)],[])).
% 49.67/32.75 tff(22446,plain,
% 49.67/32.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB167, constB168)) | v127(constB167, bitIndex2) | (~v129(constB168, bitIndex2))),
% 49.67/32.75 inference(modus_ponens,[status(thm)],[22445, 22444])).
% 49.67/32.75 tff(22447,plain,
% 49.67/32.75 (v127(constB167, bitIndex2) | (~v129(constB168, bitIndex2))),
% 49.67/32.75 inference(unit_resolution,[status(thm)],[22446, 1243, 22397])).
% 49.67/32.75 tff(22448,plain,
% 49.67/32.75 (~v129(constB168, bitIndex2)),
% 49.67/32.75 inference(unit_resolution,[status(thm)],[22447, 22443])).
% 49.67/32.75 tff(22449,plain,
% 49.67/32.75 (((~![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)))),
% 49.67/32.75 inference(rewrite,[status(thm)],[])).
% 49.67/32.75 tff(22450,plain,
% 49.67/32.75 (((~v90(constB168, bitIndex2)) | (~v100(constB168)) | v129(constB168, bitIndex2)) <=> ((~v90(constB168, bitIndex2)) | v129(constB168, bitIndex2) | (~v100(constB168)))),
% 49.67/32.75 inference(rewrite,[status(thm)],[])).
% 49.67/32.75 tff(22451,plain,
% 49.67/32.75 (((~![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))))),
% 49.67/32.75 inference(monotonicity,[status(thm)],[22450])).
% 49.67/32.75 tff(22452,plain,
% 49.67/32.75 (((~![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)))),
% 49.67/32.75 inference(transitivity,[status(thm)],[22451, 22449])).
% 49.67/32.75 tff(22453,plain,
% 49.67/32.75 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB168, bitIndex2)) | (~v100(constB168)) | v129(constB168, bitIndex2))),
% 49.67/32.75 inference(quant_inst,[status(thm)],[])).
% 49.67/32.75 tff(22454,plain,
% 49.67/32.75 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB168, bitIndex2)) | v129(constB168, bitIndex2) | (~v100(constB168))),
% 49.67/32.75 inference(modus_ponens,[status(thm)],[22453, 22452])).
% 49.67/32.75 tff(22455,plain,
% 49.67/32.75 ((~v90(constB168, bitIndex2)) | (~v100(constB168))),
% 49.67/32.75 inference(unit_resolution,[status(thm)],[22454, 1258, 22448])).
% 49.67/32.75 tff(22456,plain,
% 49.67/32.75 (~v90(constB168, bitIndex2)),
% 49.67/32.75 inference(unit_resolution,[status(thm)],[22455, 22431])).
% 49.67/32.75 tff(22457,plain,
% 49.67/32.75 ((~v1(constB169)) <=> (~v1(constB169))),
% 49.67/32.75 inference(rewrite,[status(thm)],[])).
% 49.67/32.75 tff(22458,axiom,(~v1(constB169)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_169_1_1')).
% 49.67/32.75 tff(22459,plain,
% 49.67/32.75 (~v1(constB169)),
% 49.67/32.75 inference(modus_ponens,[status(thm)],[22458, 22457])).
% 49.67/32.75 tff(22460,plain,
% 49.67/32.75 (nextState(constB168, constB169) <=> nextState(constB168, constB169)),
% 49.67/32.75 inference(rewrite,[status(thm)],[])).
% 49.67/32.75 tff(22461,axiom,(nextState(constB168, constB169)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_168_1')).
% 49.67/32.75 tff(22462,plain,
% 49.67/32.75 (nextState(constB168, constB169)),
% 49.67/32.75 inference(modus_ponens,[status(thm)],[22461, 22460])).
% 49.67/32.75 tff(22463,plain,
% 49.67/32.75 (((~![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)))),
% 49.67/32.75 inference(rewrite,[status(thm)],[])).
% 49.67/32.75 tff(22464,plain,
% 49.67/32.75 (((~nextState(constB168, constB169)) | (~v101(constB169)) | v1(constB169)) <=> (v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169)))),
% 49.67/32.75 inference(rewrite,[status(thm)],[])).
% 49.67/32.75 tff(22465,plain,
% 49.67/32.75 (((~![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))))),
% 49.67/32.75 inference(monotonicity,[status(thm)],[22464])).
% 49.67/32.75 tff(22466,plain,
% 49.67/32.75 (((~![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)))),
% 49.67/32.75 inference(transitivity,[status(thm)],[22465, 22463])).
% 49.67/32.75 tff(22467,plain,
% 49.67/32.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB168, constB169)) | (~v101(constB169)) | v1(constB169))),
% 49.67/32.75 inference(quant_inst,[status(thm)],[])).
% 49.67/32.75 tff(22468,plain,
% 49.67/32.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169))),
% 49.67/32.75 inference(modus_ponens,[status(thm)],[22467, 22466])).
% 49.67/32.75 tff(22469,plain,
% 49.67/32.75 (~v101(constB169)),
% 49.67/32.75 inference(unit_resolution,[status(thm)],[22468, 49, 22462, 22459])).
% 49.67/32.75 tff(22470,plain,
% 49.67/32.75 (((~![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)))),
% 49.67/32.75 inference(rewrite,[status(thm)],[])).
% 49.67/32.75 tff(22471,plain,
% 49.67/32.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB168, constB169)) | v101(constB169) | (~v100(constB169)))),
% 49.67/32.75 inference(quant_inst,[status(thm)],[])).
% 49.67/32.75 tff(22472,plain,
% 49.67/32.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB168, constB169)) | v101(constB169) | (~v100(constB169))),
% 49.67/32.75 inference(modus_ponens,[status(thm)],[22471, 22470])).
% 49.67/32.75 tff(22473,plain,
% 49.67/32.75 (v101(constB169) | (~v100(constB169))),
% 49.67/32.75 inference(unit_resolution,[status(thm)],[22472, 66, 22462])).
% 49.67/32.75 tff(22474,plain,
% 49.67/32.75 (~v100(constB169)),
% 49.67/32.75 inference(unit_resolution,[status(thm)],[22473, 22469])).
% 49.67/32.75 tff(22475,plain,
% 49.67/32.75 (((~![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)))),
% 49.67/32.75 inference(rewrite,[status(thm)],[])).
% 49.67/32.75 tff(22476,plain,
% 49.67/32.75 (((~nextState(constB168, constB169)) | v90(constB168, bitIndex2) | v100(constB169) | (~v90(constB169, bitIndex2))) <=> (v90(constB168, bitIndex2) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex2)))),
% 49.67/32.75 inference(rewrite,[status(thm)],[])).
% 49.67/32.75 tff(22477,plain,
% 49.67/32.76 (((~![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))))),
% 49.67/32.76 inference(monotonicity,[status(thm)],[22476])).
% 49.67/32.76 tff(22478,plain,
% 49.67/32.76 (((~![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)))),
% 49.67/32.76 inference(transitivity,[status(thm)],[22477, 22475])).
% 49.67/32.76 tff(22479,plain,
% 49.67/32.76 ((~![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)))),
% 49.67/32.76 inference(quant_inst,[status(thm)],[])).
% 49.67/32.76 tff(22480,plain,
% 49.67/32.76 ((~![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))),
% 49.67/32.76 inference(modus_ponens,[status(thm)],[22479, 22478])).
% 49.67/32.76 tff(22481,plain,
% 49.67/32.76 (v90(constB168, bitIndex2) | v100(constB169) | (~v90(constB169, bitIndex2))),
% 49.67/32.76 inference(unit_resolution,[status(thm)],[22480, 81, 22462])).
% 49.67/32.76 tff(22482,plain,
% 49.67/32.76 (v90(constB168, bitIndex2) | (~v90(constB169, bitIndex2))),
% 49.67/32.76 inference(unit_resolution,[status(thm)],[22481, 22474])).
% 49.67/32.76 tff(22483,plain,
% 49.67/32.76 (~v90(constB169, bitIndex2)),
% 49.67/32.76 inference(unit_resolution,[status(thm)],[22482, 22456])).
% 49.67/32.76 tff(22484,plain,
% 49.67/32.76 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB167)) | v130(constB167, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB167)) | v130(constB167, bitIndex1))),
% 49.67/32.76 inference(rewrite,[status(thm)],[])).
% 49.67/32.76 tff(22485,plain,
% 49.67/32.76 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB167)) | v130(constB167, bitIndex1))),
% 49.67/32.76 inference(quant_inst,[status(thm)],[])).
% 49.67/32.76 tff(22486,plain,
% 49.67/32.76 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB167)) | v130(constB167, bitIndex1)),
% 49.67/32.76 inference(modus_ponens,[status(thm)],[22485, 22484])).
% 49.67/32.76 tff(22487,plain,
% 49.67/32.76 (v130(constB167, bitIndex1)),
% 49.67/32.76 inference(unit_resolution,[status(thm)],[22486, 1450, 22354])).
% 49.67/32.76 tff(22488,plain,
% 49.67/32.76 (((~![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))),
% 49.67/32.76 inference(rewrite,[status(thm)],[])).
% 49.67/32.76 tff(22489,plain,
% 49.67/32.76 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB167) | (~v130(constB167, bitIndex1)) | v127(constB167, bitIndex1))),
% 49.67/32.76 inference(quant_inst,[status(thm)],[])).
% 49.67/32.76 tff(22490,plain,
% 49.67/32.76 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB167) | (~v130(constB167, bitIndex1)) | v127(constB167, bitIndex1)),
% 49.67/32.76 inference(modus_ponens,[status(thm)],[22489, 22488])).
% 49.67/32.76 tff(22491,plain,
% 49.67/32.76 ((~v130(constB167, bitIndex1)) | v127(constB167, bitIndex1)),
% 49.67/32.76 inference(unit_resolution,[status(thm)],[22490, 681, 22382])).
% 49.67/32.76 tff(22492,plain,
% 49.67/32.76 (v127(constB167, bitIndex1)),
% 49.67/32.76 inference(unit_resolution,[status(thm)],[22491, 22487])).
% 49.67/32.76 tff(22493,plain,
% 49.67/32.76 (((~![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))),
% 49.67/32.76 inference(rewrite,[status(thm)],[])).
% 49.67/32.76 tff(22494,plain,
% 49.67/32.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB167, constB168)) | (~v127(constB167, bitIndex1)) | v129(constB168, bitIndex1))),
% 49.67/32.76 inference(quant_inst,[status(thm)],[])).
% 49.67/32.76 tff(22495,plain,
% 49.67/32.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB167, constB168)) | (~v127(constB167, bitIndex1)) | v129(constB168, bitIndex1)),
% 49.67/32.76 inference(modus_ponens,[status(thm)],[22494, 22493])).
% 49.67/32.76 tff(22496,plain,
% 49.67/32.76 ((~v127(constB167, bitIndex1)) | v129(constB168, bitIndex1)),
% 49.67/32.76 inference(unit_resolution,[status(thm)],[22495, 696, 22397])).
% 49.67/32.76 tff(22497,plain,
% 49.67/32.76 (v129(constB168, bitIndex1)),
% 49.67/32.76 inference(unit_resolution,[status(thm)],[22496, 22492])).
% 49.67/32.76 tff(22498,plain,
% 49.67/32.76 (((~![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)))),
% 49.67/32.76 inference(rewrite,[status(thm)],[])).
% 49.67/32.76 tff(22499,plain,
% 49.67/32.76 ((v90(constB168, bitIndex1) | (~v100(constB168)) | (~v129(constB168, bitIndex1))) <=> (v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1)) | (~v100(constB168)))),
% 49.67/32.76 inference(rewrite,[status(thm)],[])).
% 49.67/32.76 tff(22500,plain,
% 49.67/32.76 (((~![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))))),
% 49.67/32.76 inference(monotonicity,[status(thm)],[22499])).
% 49.67/32.76 tff(22501,plain,
% 49.67/32.76 (((~![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)))),
% 49.67/32.76 inference(transitivity,[status(thm)],[22500, 22498])).
% 49.67/32.76 tff(22502,plain,
% 49.67/32.76 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB168, bitIndex1) | (~v100(constB168)) | (~v129(constB168, bitIndex1)))),
% 49.67/32.76 inference(quant_inst,[status(thm)],[])).
% 49.67/32.76 tff(22503,plain,
% 49.67/32.76 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB168, bitIndex1) | (~v129(constB168, bitIndex1)) | (~v100(constB168))),
% 49.67/32.76 inference(modus_ponens,[status(thm)],[22502, 22501])).
% 49.67/32.76 tff(22504,plain,
% 49.67/32.76 (v90(constB168, bitIndex1) | (~v100(constB168))),
% 49.67/32.76 inference(unit_resolution,[status(thm)],[22503, 711, 22497])).
% 49.67/32.76 tff(22505,plain,
% 49.67/32.76 (v90(constB168, bitIndex1)),
% 49.67/32.76 inference(unit_resolution,[status(thm)],[22504, 22431])).
% 49.67/32.76 tff(22506,plain,
% 49.67/32.76 (((~![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))),
% 49.67/32.76 inference(rewrite,[status(thm)],[])).
% 49.67/32.76 tff(22507,plain,
% 49.67/32.76 (((~nextState(constB168, constB169)) | (~v90(constB168, bitIndex1)) | v100(constB169) | v90(constB169, bitIndex1)) <=> ((~v90(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, bitIndex1))),
% 49.67/32.76 inference(rewrite,[status(thm)],[])).
% 49.67/32.76 tff(22508,plain,
% 49.67/32.76 (((~![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)))),
% 49.67/32.76 inference(monotonicity,[status(thm)],[22507])).
% 49.67/32.76 tff(22509,plain,
% 49.67/32.76 (((~![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))),
% 49.67/32.76 inference(transitivity,[status(thm)],[22508, 22506])).
% 49.67/32.76 tff(22510,plain,
% 49.67/32.76 ((~![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))),
% 49.67/32.76 inference(quant_inst,[status(thm)],[])).
% 49.67/32.76 tff(22511,plain,
% 49.67/32.76 ((~![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)),
% 49.67/32.76 inference(modus_ponens,[status(thm)],[22510, 22509])).
% 49.67/32.76 tff(22512,plain,
% 49.67/32.76 ((~v90(constB168, bitIndex1)) | v100(constB169) | v90(constB169, bitIndex1)),
% 49.67/32.76 inference(unit_resolution,[status(thm)],[22511, 747, 22462])).
% 49.67/32.76 tff(22513,plain,
% 49.67/32.76 ((~v90(constB168, bitIndex1)) | v90(constB169, bitIndex1)),
% 49.67/32.76 inference(unit_resolution,[status(thm)],[22512, 22474])).
% 49.67/32.76 tff(22514,plain,
% 49.67/32.76 (v90(constB169, bitIndex1)),
% 49.67/32.76 inference(unit_resolution,[status(thm)],[22513, 22505])).
% 49.67/32.76 tff(22515,plain,
% 49.67/32.76 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB167)) | (~v130(constB167, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB167)) | (~v130(constB167, bitIndex0)))),
% 49.67/32.76 inference(rewrite,[status(thm)],[])).
% 49.67/32.76 tff(22516,plain,
% 49.67/32.76 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB167)) | (~v130(constB167, bitIndex0)))),
% 49.67/32.76 inference(quant_inst,[status(thm)],[])).
% 49.67/32.76 tff(22517,plain,
% 49.67/32.76 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB167)) | (~v130(constB167, bitIndex0))),
% 49.67/32.76 inference(modus_ponens,[status(thm)],[22516, 22515])).
% 49.67/32.76 tff(22518,plain,
% 49.67/32.76 (~v130(constB167, bitIndex0)),
% 49.67/32.76 inference(unit_resolution,[status(thm)],[22517, 1492, 22354])).
% 49.67/32.76 tff(22519,plain,
% 49.67/32.76 (((~![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))),
% 49.67/32.76 inference(rewrite,[status(thm)],[])).
% 49.67/32.76 tff(22520,plain,
% 49.67/32.76 ((v26(constB167) | v130(constB167, bitIndex0) | (~v127(constB167, bitIndex0))) <=> ((~v127(constB167, bitIndex0)) | v26(constB167) | v130(constB167, bitIndex0))),
% 49.67/32.76 inference(rewrite,[status(thm)],[])).
% 49.67/32.76 tff(22521,plain,
% 49.67/32.76 (((~![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)))),
% 49.67/32.76 inference(monotonicity,[status(thm)],[22520])).
% 49.67/32.76 tff(22522,plain,
% 49.67/32.76 (((~![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))),
% 49.67/32.76 inference(transitivity,[status(thm)],[22521, 22519])).
% 49.67/32.76 tff(22523,plain,
% 49.67/32.76 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB167) | v130(constB167, bitIndex0) | (~v127(constB167, bitIndex0)))),
% 49.67/32.76 inference(quant_inst,[status(thm)],[])).
% 49.67/32.76 tff(22524,plain,
% 49.67/32.76 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB167, bitIndex0)) | v26(constB167) | v130(constB167, bitIndex0)),
% 49.67/32.76 inference(modus_ponens,[status(thm)],[22523, 22522])).
% 49.67/32.76 tff(22525,plain,
% 49.67/32.76 ((~v127(constB167, bitIndex0)) | v130(constB167, bitIndex0)),
% 49.67/32.76 inference(unit_resolution,[status(thm)],[22524, 524, 22382])).
% 49.67/32.76 tff(22526,plain,
% 49.67/32.76 (~v127(constB167, bitIndex0)),
% 49.67/32.76 inference(unit_resolution,[status(thm)],[22525, 22518])).
% 49.67/32.76 tff(22527,plain,
% 49.67/32.76 (((~![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)))),
% 49.67/32.76 inference(rewrite,[status(thm)],[])).
% 49.67/32.76 tff(22528,plain,
% 49.67/32.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB167, constB168)) | v127(constB167, bitIndex0) | (~v129(constB168, bitIndex0)))),
% 49.67/32.76 inference(quant_inst,[status(thm)],[])).
% 49.67/32.76 tff(22529,plain,
% 49.67/32.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB167, constB168)) | v127(constB167, bitIndex0) | (~v129(constB168, bitIndex0))),
% 49.67/32.76 inference(modus_ponens,[status(thm)],[22528, 22527])).
% 49.67/32.76 tff(22530,plain,
% 49.67/32.76 (v127(constB167, bitIndex0) | (~v129(constB168, bitIndex0))),
% 49.67/32.76 inference(unit_resolution,[status(thm)],[22529, 542, 22397])).
% 49.67/32.76 tff(22531,plain,
% 49.67/32.76 (~v129(constB168, bitIndex0)),
% 49.67/32.76 inference(unit_resolution,[status(thm)],[22530, 22526])).
% 49.67/32.76 tff(22532,plain,
% 49.67/32.76 (((~![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)))),
% 49.67/32.76 inference(rewrite,[status(thm)],[])).
% 49.67/32.76 tff(22533,plain,
% 49.67/32.76 (((~v90(constB168, bitIndex0)) | (~v100(constB168)) | v129(constB168, bitIndex0)) <=> ((~v90(constB168, bitIndex0)) | v129(constB168, bitIndex0) | (~v100(constB168)))),
% 49.67/32.76 inference(rewrite,[status(thm)],[])).
% 49.67/32.76 tff(22534,plain,
% 49.67/32.76 (((~![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))))),
% 49.67/32.76 inference(monotonicity,[status(thm)],[22533])).
% 49.67/32.76 tff(22535,plain,
% 49.67/32.76 (((~![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)))),
% 49.67/32.76 inference(transitivity,[status(thm)],[22534, 22532])).
% 49.67/32.76 tff(22536,plain,
% 49.67/32.76 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB168, bitIndex0)) | (~v100(constB168)) | v129(constB168, bitIndex0))),
% 49.67/32.76 inference(quant_inst,[status(thm)],[])).
% 49.67/32.76 tff(22537,plain,
% 49.67/32.76 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB168, bitIndex0)) | v129(constB168, bitIndex0) | (~v100(constB168))),
% 49.67/32.76 inference(modus_ponens,[status(thm)],[22536, 22535])).
% 49.67/32.76 tff(22538,plain,
% 49.67/32.76 ((~v90(constB168, bitIndex0)) | (~v100(constB168))),
% 49.67/32.76 inference(unit_resolution,[status(thm)],[22537, 557, 22531])).
% 49.67/32.76 tff(22539,plain,
% 49.67/32.76 (~v90(constB168, bitIndex0)),
% 49.67/32.76 inference(unit_resolution,[status(thm)],[22538, 22431])).
% 49.67/32.76 tff(22540,plain,
% 49.67/32.76 (((~![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)))),
% 49.67/32.76 inference(rewrite,[status(thm)],[])).
% 49.67/32.76 tff(22541,plain,
% 49.67/32.76 (((~nextState(constB168, constB169)) | v90(constB168, bitIndex0) | v100(constB169) | (~v90(constB169, bitIndex0))) <=> (v90(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, bitIndex0)))),
% 49.67/32.76 inference(rewrite,[status(thm)],[])).
% 49.67/32.76 tff(22542,plain,
% 49.67/32.76 (((~![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))))),
% 49.67/32.76 inference(monotonicity,[status(thm)],[22541])).
% 49.67/32.76 tff(22543,plain,
% 49.67/32.76 (((~![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)))),
% 49.67/32.76 inference(transitivity,[status(thm)],[22542, 22540])).
% 49.67/32.76 tff(22544,plain,
% 49.67/32.76 ((~![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)))),
% 49.67/32.76 inference(quant_inst,[status(thm)],[])).
% 49.67/32.76 tff(22545,plain,
% 49.67/32.76 ((~![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))),
% 49.67/32.76 inference(modus_ponens,[status(thm)],[22544, 22543])).
% 49.67/32.76 tff(22546,plain,
% 49.67/32.76 (v90(constB168, bitIndex0) | v100(constB169) | (~v90(constB169, bitIndex0))),
% 49.67/32.76 inference(unit_resolution,[status(thm)],[22545, 123, 22462])).
% 49.67/32.76 tff(22547,plain,
% 49.67/32.76 (v90(constB168, bitIndex0) | (~v90(constB169, bitIndex0))),
% 49.67/32.76 inference(unit_resolution,[status(thm)],[22546, 22474])).
% 49.67/32.76 tff(22548,plain,
% 49.67/32.76 (~v90(constB169, bitIndex0)),
% 49.67/32.76 inference(unit_resolution,[status(thm)],[22547, 22539])).
% 49.67/32.76 tff(22549,plain,
% 49.67/32.76 (((~![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))),
% 49.67/32.76 inference(rewrite,[status(thm)],[])).
% 49.67/32.76 tff(22550,plain,
% 49.67/32.76 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex2) | v121(constB169))),
% 49.67/32.76 inference(quant_inst,[status(thm)],[])).
% 49.67/32.76 tff(22551,plain,
% 49.67/32.76 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB169, bitIndex0) | (~v90(constB169, bitIndex1)) | v90(constB169, bitIndex2) | v121(constB169)),
% 49.67/32.76 inference(modus_ponens,[status(thm)],[22550, 22549])).
% 49.67/32.76 tff(22552,plain,
% 49.67/32.76 (v121(constB169)),
% 49.67/32.76 inference(unit_resolution,[status(thm)],[22551, 1551, 22548, 22514, 22483])).
% 49.67/32.76 tff(22553,plain,
% 49.67/32.76 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB169) | (~v121(constB169)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB169) | (~v121(constB169)))),
% 49.67/32.76 inference(rewrite,[status(thm)],[])).
% 49.67/32.76 tff(22554,plain,
% 49.67/32.76 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB169) | (~v121(constB169)))),
% 49.67/32.76 inference(quant_inst,[status(thm)],[])).
% 49.67/32.76 tff(22555,plain,
% 49.67/32.76 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB169) | (~v121(constB169))),
% 49.67/32.76 inference(modus_ponens,[status(thm)],[22554, 22553])).
% 49.67/32.76 tff(22556,plain,
% 49.67/32.76 (v117(constB169)),
% 49.67/32.76 inference(unit_resolution,[status(thm)],[22555, 1562, 22552])).
% 49.67/32.76 tff(22557,plain,
% 49.67/32.76 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB169) | (~v117(constB169)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB169) | (~v117(constB169)))),
% 49.67/32.76 inference(rewrite,[status(thm)],[])).
% 49.67/32.76 tff(22558,plain,
% 49.67/32.76 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB169) | (~v117(constB169)))),
% 49.67/32.76 inference(quant_inst,[status(thm)],[])).
% 49.67/32.76 tff(22559,plain,
% 49.67/32.76 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB169) | (~v117(constB169))),
% 49.67/32.76 inference(modus_ponens,[status(thm)],[22558, 22557])).
% 49.67/32.76 tff(22560,plain,
% 49.67/32.76 (v116(constB169)),
% 49.67/32.76 inference(unit_resolution,[status(thm)],[22559, 177, 22556])).
% 49.67/32.76 tff(22561,plain,
% 49.67/32.76 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB169) | (~v116(constB169)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB169) | (~v116(constB169)))),
% 49.67/32.76 inference(rewrite,[status(thm)],[])).
% 49.67/32.76 tff(22562,plain,
% 49.67/32.76 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB169) | (~v116(constB169)))),
% 49.67/32.76 inference(quant_inst,[status(thm)],[])).
% 49.67/32.76 tff(22563,plain,
% 49.67/32.76 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB169) | (~v116(constB169))),
% 49.67/32.76 inference(modus_ponens,[status(thm)],[22562, 22561])).
% 49.67/32.76 tff(22564,plain,
% 49.67/32.76 (v115(constB169)),
% 49.67/32.76 inference(unit_resolution,[status(thm)],[22563, 188, 22560])).
% 49.67/32.76 tff(22565,plain,
% 49.67/32.76 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB169) | (~v115(constB169)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB169) | (~v115(constB169)))),
% 49.67/32.76 inference(rewrite,[status(thm)],[])).
% 49.67/32.76 tff(22566,plain,
% 49.67/32.76 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB169) | (~v115(constB169)))),
% 49.67/32.76 inference(quant_inst,[status(thm)],[])).
% 49.67/32.76 tff(22567,plain,
% 49.67/32.76 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB169) | (~v115(constB169))),
% 49.67/32.76 inference(modus_ponens,[status(thm)],[22566, 22565])).
% 49.67/32.76 tff(22568,plain,
% 49.67/32.76 (v114(constB169)),
% 49.67/32.76 inference(unit_resolution,[status(thm)],[22567, 199, 22564])).
% 49.67/32.76 tff(22569,plain,
% 49.67/32.76 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB169) | (~v114(constB169)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB169) | (~v114(constB169)))),
% 49.67/32.76 inference(rewrite,[status(thm)],[])).
% 49.67/32.76 tff(22570,plain,
% 49.67/32.76 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB169) | (~v114(constB169)))),
% 49.67/32.76 inference(quant_inst,[status(thm)],[])).
% 49.67/32.76 tff(22571,plain,
% 49.67/32.76 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB169) | (~v114(constB169))),
% 49.67/32.76 inference(modus_ponens,[status(thm)],[22570, 22569])).
% 49.67/32.76 tff(22572,plain,
% 49.67/32.76 (v113(constB169)),
% 49.67/32.76 inference(unit_resolution,[status(thm)],[22571, 210, 22568])).
% 49.67/32.76 tff(22573,assumption,(v26(constB169)), introduced(assumption)).
% 49.67/32.76 tff(22574,plain,
% 49.67/32.76 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB169))),
% 49.67/32.76 inference(quant_inst,[status(thm)],[])).
% 49.67/32.76 tff(22575,plain,
% 49.67/32.76 ($false),
% 49.67/32.76 inference(unit_resolution,[status(thm)],[22574, 16, 22573])).
% 49.67/32.76 tff(22576,plain,(~v26(constB169)), inference(lemma,lemma(discharge,[]))).
% 49.67/32.76 tff(22577,plain,
% 49.67/32.76 (((~![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))),
% 49.67/32.76 inference(rewrite,[status(thm)],[])).
% 49.67/32.76 tff(22578,plain,
% 49.67/32.76 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB169) | (~v113(constB169)) | v112(constB169))),
% 49.67/32.76 inference(quant_inst,[status(thm)],[])).
% 49.67/32.76 tff(22579,plain,
% 49.67/32.76 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB169) | (~v113(constB169)) | v112(constB169)),
% 49.67/32.76 inference(modus_ponens,[status(thm)],[22578, 22577])).
% 49.67/32.76 tff(22580,plain,
% 49.67/32.76 ((~v113(constB169)) | v112(constB169)),
% 49.67/32.76 inference(unit_resolution,[status(thm)],[22579, 224, 22576])).
% 49.67/32.76 tff(22581,plain,
% 49.67/32.76 (v112(constB169)),
% 49.67/32.76 inference(unit_resolution,[status(thm)],[22580, 22572])).
% 49.67/32.76 tff(22582,plain,
% 49.67/32.76 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB169) | (~v112(constB169)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB169) | (~v112(constB169)))),
% 49.67/32.76 inference(rewrite,[status(thm)],[])).
% 49.67/32.76 tff(22583,plain,
% 49.67/32.76 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB169) | (~v112(constB169)))),
% 49.67/32.76 inference(quant_inst,[status(thm)],[])).
% 49.67/32.76 tff(22584,plain,
% 49.67/32.76 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB169) | (~v112(constB169))),
% 49.67/32.76 inference(modus_ponens,[status(thm)],[22583, 22582])).
% 49.67/32.76 tff(22585,plain,
% 49.67/32.76 (v108(constB169)),
% 49.67/32.76 inference(unit_resolution,[status(thm)],[22584, 236, 22581])).
% 49.67/32.76 tff(22586,plain,
% 49.67/32.76 (nextState(constB169, constB170) <=> nextState(constB169, constB170)),
% 49.67/32.76 inference(rewrite,[status(thm)],[])).
% 49.67/32.76 tff(22587,axiom,(nextState(constB169, constB170)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_169_1')).
% 49.67/32.76 tff(22588,plain,
% 49.67/32.76 (nextState(constB169, constB170)),
% 49.67/32.76 inference(modus_ponens,[status(thm)],[22587, 22586])).
% 49.67/32.76 tff(22589,plain,
% 49.67/32.76 (((~![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)))),
% 49.67/32.76 inference(rewrite,[status(thm)],[])).
% 49.67/32.76 tff(22590,plain,
% 49.67/32.76 (((~nextState(constB169, constB170)) | (~v108(constB169)) | v110(constB170)) <=> ((~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169)))),
% 49.67/32.76 inference(rewrite,[status(thm)],[])).
% 49.67/32.76 tff(22591,plain,
% 49.67/32.76 (((~![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))))),
% 49.67/32.76 inference(monotonicity,[status(thm)],[22590])).
% 49.67/32.76 tff(22592,plain,
% 49.67/32.76 (((~![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)))),
% 49.67/32.76 inference(transitivity,[status(thm)],[22591, 22589])).
% 49.67/32.76 tff(22593,plain,
% 49.67/32.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB169, constB170)) | (~v108(constB169)) | v110(constB170))),
% 49.67/32.76 inference(quant_inst,[status(thm)],[])).
% 49.67/32.76 tff(22594,plain,
% 49.67/32.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169))),
% 49.67/32.76 inference(modus_ponens,[status(thm)],[22593, 22592])).
% 49.67/32.76 tff(22595,plain,
% 49.67/32.76 (v110(constB170) | (~v108(constB169))),
% 49.67/32.76 inference(unit_resolution,[status(thm)],[22594, 253, 22588])).
% 49.67/32.76 tff(22596,plain,
% 49.67/32.76 (v110(constB170)),
% 49.67/32.76 inference(unit_resolution,[status(thm)],[22595, 22585])).
% 49.67/32.76 tff(22597,plain,
% 49.67/32.76 (((~![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)))),
% 49.67/32.76 inference(rewrite,[status(thm)],[])).
% 49.67/32.76 tff(22598,plain,
% 49.67/32.76 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB169) | (~nextState(constB169, constB170)) | (~v104(constB170)))),
% 49.67/32.76 inference(quant_inst,[status(thm)],[])).
% 49.67/32.76 tff(22599,plain,
% 49.67/32.76 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB169) | (~nextState(constB169, constB170)) | (~v104(constB170))),
% 49.67/32.76 inference(modus_ponens,[status(thm)],[22598, 22597])).
% 49.67/32.76 tff(22600,plain,
% 49.67/32.76 (~v104(constB170)),
% 49.67/32.76 inference(unit_resolution,[status(thm)],[22599, 271, 22588, 22459])).
% 49.67/32.76 tff(22601,plain,
% 49.67/32.76 (((~![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))),
% 49.67/32.76 inference(rewrite,[status(thm)],[])).
% 49.67/32.76 tff(22602,plain,
% 49.67/32.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB169, constB170)) | v102(constB170) | v104(constB170))),
% 49.67/32.76 inference(quant_inst,[status(thm)],[])).
% 49.67/32.76 tff(22603,plain,
% 49.67/32.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB169, constB170)) | v102(constB170) | v104(constB170)),
% 49.67/32.76 inference(modus_ponens,[status(thm)],[22602, 22601])).
% 49.67/32.76 tff(22604,plain,
% 49.67/32.76 (v102(constB170) | v104(constB170)),
% 49.67/32.76 inference(unit_resolution,[status(thm)],[22603, 285, 22588])).
% 49.67/32.76 tff(22605,plain,
% 49.67/32.76 (v102(constB170)),
% 49.67/32.76 inference(unit_resolution,[status(thm)],[22604, 22600])).
% 49.67/32.76 tff(22606,plain,
% 49.67/32.76 (v1(constB170) <=> v1(constB170)),
% 49.67/32.76 inference(rewrite,[status(thm)],[])).
% 49.67/32.76 tff(22607,axiom,(v1(constB170)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_170_1')).
% 49.67/32.77 tff(22608,plain,
% 49.67/32.77 (v1(constB170)),
% 49.67/32.77 inference(modus_ponens,[status(thm)],[22607, 22606])).
% 49.67/32.77 tff(22609,plain,
% 49.67/32.77 (((~![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)))),
% 49.67/32.77 inference(rewrite,[status(thm)],[])).
% 49.67/32.77 tff(22610,plain,
% 49.67/32.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB169, constB170)) | v101(constB170) | (~v102(constB170)) | (~v1(constB170)))),
% 49.67/32.77 inference(quant_inst,[status(thm)],[])).
% 49.67/32.77 tff(22611,plain,
% 49.67/32.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB169, constB170)) | v101(constB170) | (~v102(constB170)) | (~v1(constB170))),
% 49.67/32.77 inference(modus_ponens,[status(thm)],[22610, 22609])).
% 49.67/32.77 tff(22612,plain,
% 49.67/32.77 (v101(constB170) | (~v102(constB170))),
% 49.67/32.77 inference(unit_resolution,[status(thm)],[22611, 303, 22588, 22608])).
% 49.67/32.77 tff(22613,plain,
% 49.67/32.77 (v101(constB170)),
% 49.67/32.77 inference(unit_resolution,[status(thm)],[22612, 22605])).
% 49.67/32.77 tff(22614,plain,
% 49.67/32.77 (((~![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)))),
% 49.67/32.77 inference(rewrite,[status(thm)],[])).
% 49.67/32.77 tff(22615,plain,
% 49.67/32.77 (((~nextState(constB169, constB170)) | (~v101(constB170)) | (~v110(constB170)) | v100(constB170)) <=> ((~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170)))),
% 49.67/32.77 inference(rewrite,[status(thm)],[])).
% 49.67/32.77 tff(22616,plain,
% 49.67/32.77 (((~![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))))),
% 49.67/32.77 inference(monotonicity,[status(thm)],[22615])).
% 49.67/32.77 tff(22617,plain,
% 49.67/32.77 (((~![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)))),
% 49.67/32.77 inference(transitivity,[status(thm)],[22616, 22614])).
% 49.67/32.77 tff(22618,plain,
% 49.67/32.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB169, constB170)) | (~v101(constB170)) | (~v110(constB170)) | v100(constB170))),
% 49.67/32.77 inference(quant_inst,[status(thm)],[])).
% 49.67/32.77 tff(22619,plain,
% 49.67/32.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170))),
% 49.67/32.77 inference(modus_ponens,[status(thm)],[22618, 22617])).
% 49.67/32.77 tff(22620,plain,
% 49.67/32.77 (v100(constB170) | (~v101(constB170)) | (~v110(constB170))),
% 49.67/32.77 inference(unit_resolution,[status(thm)],[22619, 318, 22588])).
% 49.67/32.77 tff(22621,plain,
% 49.67/32.77 (v100(constB170) | (~v110(constB170))),
% 49.67/32.77 inference(unit_resolution,[status(thm)],[22620, 22613])).
% 49.67/32.77 tff(22622,plain,
% 49.67/32.77 (v100(constB170)),
% 49.67/32.77 inference(unit_resolution,[status(thm)],[22621, 22596])).
% 49.67/32.77 tff(22623,plain,
% 49.67/32.77 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB169)) | (~v130(constB169, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB169)) | (~v130(constB169, bitIndex2)))),
% 49.67/32.77 inference(rewrite,[status(thm)],[])).
% 49.67/32.77 tff(22624,plain,
% 49.67/32.77 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB169)) | (~v130(constB169, bitIndex2)))),
% 49.67/32.77 inference(quant_inst,[status(thm)],[])).
% 49.67/32.77 tff(22625,plain,
% 49.67/32.77 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB169)) | (~v130(constB169, bitIndex2))),
% 49.67/32.77 inference(modus_ponens,[status(thm)],[22624, 22623])).
% 49.67/32.77 tff(22626,plain,
% 49.67/32.77 (~v130(constB169, bitIndex2)),
% 49.67/32.77 inference(unit_resolution,[status(thm)],[22625, 1645, 22552])).
% 49.67/32.77 tff(22627,plain,
% 49.67/32.77 (((~![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))),
% 49.67/32.77 inference(rewrite,[status(thm)],[])).
% 49.67/32.77 tff(22628,plain,
% 49.67/32.77 ((v26(constB169) | v130(constB169, bitIndex2) | (~v127(constB169, bitIndex2))) <=> ((~v127(constB169, bitIndex2)) | v26(constB169) | v130(constB169, bitIndex2))),
% 49.67/32.77 inference(rewrite,[status(thm)],[])).
% 49.67/32.77 tff(22629,plain,
% 49.67/32.77 (((~![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)))),
% 49.67/32.77 inference(monotonicity,[status(thm)],[22628])).
% 49.67/32.77 tff(22630,plain,
% 49.67/32.77 (((~![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))),
% 49.67/32.77 inference(transitivity,[status(thm)],[22629, 22627])).
% 49.67/32.77 tff(22631,plain,
% 49.67/32.77 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB169) | v130(constB169, bitIndex2) | (~v127(constB169, bitIndex2)))),
% 49.67/32.77 inference(quant_inst,[status(thm)],[])).
% 49.67/32.77 tff(22632,plain,
% 49.67/32.77 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB169, bitIndex2)) | v26(constB169) | v130(constB169, bitIndex2)),
% 49.67/32.77 inference(modus_ponens,[status(thm)],[22631, 22630])).
% 49.67/32.77 tff(22633,plain,
% 49.67/32.77 ((~v127(constB169, bitIndex2)) | v130(constB169, bitIndex2)),
% 49.67/32.77 inference(unit_resolution,[status(thm)],[22632, 1210, 22576])).
% 49.67/32.77 tff(22634,plain,
% 49.67/32.77 (~v127(constB169, bitIndex2)),
% 49.67/32.77 inference(unit_resolution,[status(thm)],[22633, 22626])).
% 49.67/32.77 tff(22635,plain,
% 49.67/32.77 (((~![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)))),
% 49.67/32.77 inference(rewrite,[status(thm)],[])).
% 49.67/32.77 tff(22636,plain,
% 49.67/32.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB169, constB170)) | v127(constB169, bitIndex2) | (~v129(constB170, bitIndex2)))),
% 49.67/32.77 inference(quant_inst,[status(thm)],[])).
% 49.67/32.77 tff(22637,plain,
% 49.67/32.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB169, constB170)) | v127(constB169, bitIndex2) | (~v129(constB170, bitIndex2))),
% 49.67/32.77 inference(modus_ponens,[status(thm)],[22636, 22635])).
% 49.67/32.77 tff(22638,plain,
% 49.67/32.77 (v127(constB169, bitIndex2) | (~v129(constB170, bitIndex2))),
% 49.67/32.77 inference(unit_resolution,[status(thm)],[22637, 1243, 22588])).
% 49.67/32.77 tff(22639,plain,
% 49.67/32.77 (~v129(constB170, bitIndex2)),
% 49.67/32.77 inference(unit_resolution,[status(thm)],[22638, 22634])).
% 49.67/32.77 tff(22640,plain,
% 49.67/32.77 (((~![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)))),
% 49.67/32.77 inference(rewrite,[status(thm)],[])).
% 49.67/32.77 tff(22641,plain,
% 49.67/32.77 (((~v90(constB170, bitIndex2)) | (~v100(constB170)) | v129(constB170, bitIndex2)) <=> ((~v90(constB170, bitIndex2)) | v129(constB170, bitIndex2) | (~v100(constB170)))),
% 49.67/32.77 inference(rewrite,[status(thm)],[])).
% 49.67/32.77 tff(22642,plain,
% 49.67/32.77 (((~![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))))),
% 49.67/32.77 inference(monotonicity,[status(thm)],[22641])).
% 49.67/32.77 tff(22643,plain,
% 49.67/32.77 (((~![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)))),
% 49.67/32.77 inference(transitivity,[status(thm)],[22642, 22640])).
% 49.67/32.77 tff(22644,plain,
% 49.67/32.77 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB170, bitIndex2)) | (~v100(constB170)) | v129(constB170, bitIndex2))),
% 49.67/32.77 inference(quant_inst,[status(thm)],[])).
% 49.67/32.77 tff(22645,plain,
% 49.67/32.77 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB170, bitIndex2)) | v129(constB170, bitIndex2) | (~v100(constB170))),
% 49.67/32.77 inference(modus_ponens,[status(thm)],[22644, 22643])).
% 49.67/32.77 tff(22646,plain,
% 49.67/32.77 ((~v90(constB170, bitIndex2)) | (~v100(constB170))),
% 49.67/32.77 inference(unit_resolution,[status(thm)],[22645, 1258, 22639])).
% 49.67/32.77 tff(22647,plain,
% 49.67/32.77 (~v90(constB170, bitIndex2)),
% 49.67/32.77 inference(unit_resolution,[status(thm)],[22646, 22622])).
% 49.67/32.77 tff(22648,plain,
% 49.67/32.77 ((~v1(constB171)) <=> (~v1(constB171))),
% 49.67/32.77 inference(rewrite,[status(thm)],[])).
% 49.67/32.77 tff(22649,axiom,(~v1(constB171)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_171_1_1')).
% 49.67/32.77 tff(22650,plain,
% 49.67/32.77 (~v1(constB171)),
% 49.67/32.77 inference(modus_ponens,[status(thm)],[22649, 22648])).
% 49.67/32.77 tff(22651,plain,
% 49.67/32.77 (nextState(constB170, constB171) <=> nextState(constB170, constB171)),
% 49.67/32.77 inference(rewrite,[status(thm)],[])).
% 49.67/32.77 tff(22652,axiom,(nextState(constB170, constB171)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_170_1')).
% 49.67/32.77 tff(22653,plain,
% 49.67/32.77 (nextState(constB170, constB171)),
% 49.67/32.77 inference(modus_ponens,[status(thm)],[22652, 22651])).
% 49.67/32.77 tff(22654,plain,
% 49.67/32.77 (((~![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)))),
% 49.67/32.77 inference(rewrite,[status(thm)],[])).
% 49.67/32.77 tff(22655,plain,
% 49.67/32.77 (((~nextState(constB170, constB171)) | (~v101(constB171)) | v1(constB171)) <=> (v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171)))),
% 49.67/32.77 inference(rewrite,[status(thm)],[])).
% 49.67/32.77 tff(22656,plain,
% 49.67/32.77 (((~![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))))),
% 49.67/32.77 inference(monotonicity,[status(thm)],[22655])).
% 49.67/32.77 tff(22657,plain,
% 49.67/32.77 (((~![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)))),
% 49.67/32.77 inference(transitivity,[status(thm)],[22656, 22654])).
% 49.67/32.77 tff(22658,plain,
% 49.67/32.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB170, constB171)) | (~v101(constB171)) | v1(constB171))),
% 49.67/32.77 inference(quant_inst,[status(thm)],[])).
% 49.67/32.77 tff(22659,plain,
% 49.67/32.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171))),
% 49.67/32.77 inference(modus_ponens,[status(thm)],[22658, 22657])).
% 49.67/32.77 tff(22660,plain,
% 49.67/32.77 (~v101(constB171)),
% 49.67/32.77 inference(unit_resolution,[status(thm)],[22659, 49, 22653, 22650])).
% 49.67/32.77 tff(22661,plain,
% 49.67/32.77 (((~![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)))),
% 49.67/32.77 inference(rewrite,[status(thm)],[])).
% 49.67/32.77 tff(22662,plain,
% 49.67/32.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB170, constB171)) | v101(constB171) | (~v100(constB171)))),
% 49.67/32.77 inference(quant_inst,[status(thm)],[])).
% 49.67/32.77 tff(22663,plain,
% 49.67/32.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB170, constB171)) | v101(constB171) | (~v100(constB171))),
% 49.67/32.77 inference(modus_ponens,[status(thm)],[22662, 22661])).
% 49.67/32.77 tff(22664,plain,
% 49.67/32.77 (v101(constB171) | (~v100(constB171))),
% 49.67/32.77 inference(unit_resolution,[status(thm)],[22663, 66, 22653])).
% 49.67/32.77 tff(22665,plain,
% 49.67/32.77 (~v100(constB171)),
% 49.67/32.77 inference(unit_resolution,[status(thm)],[22664, 22660])).
% 49.67/32.77 tff(22666,plain,
% 49.67/32.77 (((~![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)))),
% 49.67/32.77 inference(rewrite,[status(thm)],[])).
% 49.67/32.77 tff(22667,plain,
% 49.67/32.77 (((~nextState(constB170, constB171)) | v90(constB170, bitIndex2) | v100(constB171) | (~v90(constB171, bitIndex2))) <=> (v90(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, bitIndex2)))),
% 49.67/32.77 inference(rewrite,[status(thm)],[])).
% 49.67/32.77 tff(22668,plain,
% 49.67/32.77 (((~![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))))),
% 49.67/32.77 inference(monotonicity,[status(thm)],[22667])).
% 49.67/32.77 tff(22669,plain,
% 49.67/32.77 (((~![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)))),
% 49.67/32.77 inference(transitivity,[status(thm)],[22668, 22666])).
% 49.67/32.77 tff(22670,plain,
% 49.67/32.77 ((~![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)))),
% 49.67/32.77 inference(quant_inst,[status(thm)],[])).
% 49.67/32.77 tff(22671,plain,
% 49.67/32.77 ((~![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))),
% 49.67/32.77 inference(modus_ponens,[status(thm)],[22670, 22669])).
% 49.67/32.77 tff(22672,plain,
% 49.67/32.77 (v90(constB170, bitIndex2) | v100(constB171) | (~v90(constB171, bitIndex2))),
% 49.67/32.77 inference(unit_resolution,[status(thm)],[22671, 81, 22653])).
% 49.67/32.77 tff(22673,plain,
% 49.67/32.77 (v90(constB170, bitIndex2) | (~v90(constB171, bitIndex2))),
% 49.67/32.77 inference(unit_resolution,[status(thm)],[22672, 22665])).
% 49.67/32.77 tff(22674,plain,
% 49.67/32.77 (~v90(constB171, bitIndex2)),
% 49.67/32.77 inference(unit_resolution,[status(thm)],[22673, 22647])).
% 49.67/32.77 tff(22675,plain,
% 49.67/32.77 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB169)) | v130(constB169, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB169)) | v130(constB169, bitIndex1))),
% 49.67/32.77 inference(rewrite,[status(thm)],[])).
% 49.67/32.77 tff(22676,plain,
% 49.67/32.77 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB169)) | v130(constB169, bitIndex1))),
% 49.67/32.77 inference(quant_inst,[status(thm)],[])).
% 49.67/32.77 tff(22677,plain,
% 49.67/32.77 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB169)) | v130(constB169, bitIndex1)),
% 49.67/32.77 inference(modus_ponens,[status(thm)],[22676, 22675])).
% 49.67/32.77 tff(22678,plain,
% 49.67/32.77 (v130(constB169, bitIndex1)),
% 49.67/32.77 inference(unit_resolution,[status(thm)],[22677, 1707, 22552])).
% 49.67/32.77 tff(22679,plain,
% 49.67/32.77 (((~![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))),
% 49.67/32.77 inference(rewrite,[status(thm)],[])).
% 49.67/32.77 tff(22680,plain,
% 49.67/32.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB169) | (~v130(constB169, bitIndex1)) | v127(constB169, bitIndex1))),
% 49.67/32.77 inference(quant_inst,[status(thm)],[])).
% 49.67/32.77 tff(22681,plain,
% 49.67/32.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB169) | (~v130(constB169, bitIndex1)) | v127(constB169, bitIndex1)),
% 49.67/32.77 inference(modus_ponens,[status(thm)],[22680, 22679])).
% 49.67/32.77 tff(22682,plain,
% 49.67/32.77 ((~v130(constB169, bitIndex1)) | v127(constB169, bitIndex1)),
% 49.67/32.77 inference(unit_resolution,[status(thm)],[22681, 681, 22576])).
% 49.67/32.77 tff(22683,plain,
% 49.67/32.77 (v127(constB169, bitIndex1)),
% 49.67/32.77 inference(unit_resolution,[status(thm)],[22682, 22678])).
% 49.67/32.77 tff(22684,plain,
% 49.67/32.77 (((~![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))),
% 49.67/32.77 inference(rewrite,[status(thm)],[])).
% 49.67/32.77 tff(22685,plain,
% 49.67/32.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB169, constB170)) | (~v127(constB169, bitIndex1)) | v129(constB170, bitIndex1))),
% 49.67/32.77 inference(quant_inst,[status(thm)],[])).
% 49.67/32.77 tff(22686,plain,
% 49.67/32.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB169, constB170)) | (~v127(constB169, bitIndex1)) | v129(constB170, bitIndex1)),
% 49.67/32.77 inference(modus_ponens,[status(thm)],[22685, 22684])).
% 49.67/32.77 tff(22687,plain,
% 49.67/32.77 ((~v127(constB169, bitIndex1)) | v129(constB170, bitIndex1)),
% 49.67/32.77 inference(unit_resolution,[status(thm)],[22686, 696, 22588])).
% 49.67/32.77 tff(22688,plain,
% 49.67/32.77 (v129(constB170, bitIndex1)),
% 49.67/32.77 inference(unit_resolution,[status(thm)],[22687, 22683])).
% 49.67/32.77 tff(22689,plain,
% 49.67/32.77 (((~![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)))),
% 49.67/32.77 inference(rewrite,[status(thm)],[])).
% 49.67/32.77 tff(22690,plain,
% 49.67/32.77 ((v90(constB170, bitIndex1) | (~v100(constB170)) | (~v129(constB170, bitIndex1))) <=> (v90(constB170, bitIndex1) | (~v129(constB170, bitIndex1)) | (~v100(constB170)))),
% 49.67/32.77 inference(rewrite,[status(thm)],[])).
% 49.67/32.77 tff(22691,plain,
% 49.67/32.77 (((~![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))))),
% 49.67/32.77 inference(monotonicity,[status(thm)],[22690])).
% 49.67/32.77 tff(22692,plain,
% 49.67/32.77 (((~![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)))),
% 49.67/32.77 inference(transitivity,[status(thm)],[22691, 22689])).
% 49.67/32.77 tff(22693,plain,
% 49.67/32.77 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB170, bitIndex1) | (~v100(constB170)) | (~v129(constB170, bitIndex1)))),
% 49.67/32.77 inference(quant_inst,[status(thm)],[])).
% 49.67/32.77 tff(22694,plain,
% 49.67/32.77 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB170, bitIndex1) | (~v129(constB170, bitIndex1)) | (~v100(constB170))),
% 49.67/32.77 inference(modus_ponens,[status(thm)],[22693, 22692])).
% 49.67/32.77 tff(22695,plain,
% 49.67/32.77 (v90(constB170, bitIndex1) | (~v100(constB170))),
% 49.67/32.77 inference(unit_resolution,[status(thm)],[22694, 711, 22688])).
% 49.67/32.77 tff(22696,plain,
% 49.67/32.77 (v90(constB170, bitIndex1)),
% 49.67/32.77 inference(unit_resolution,[status(thm)],[22695, 22622])).
% 49.67/32.77 tff(22697,plain,
% 49.67/32.77 (((~![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))),
% 49.67/32.77 inference(rewrite,[status(thm)],[])).
% 49.67/32.77 tff(22698,plain,
% 49.67/32.77 (((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex1)) | v100(constB171) | v90(constB171, bitIndex1)) <=> ((~v90(constB170, bitIndex1)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex1))),
% 49.67/32.77 inference(rewrite,[status(thm)],[])).
% 49.67/32.77 tff(22699,plain,
% 49.67/32.77 (((~![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)))),
% 49.67/32.77 inference(monotonicity,[status(thm)],[22698])).
% 49.67/32.77 tff(22700,plain,
% 49.67/32.77 (((~![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))),
% 49.67/32.77 inference(transitivity,[status(thm)],[22699, 22697])).
% 49.67/32.77 tff(22701,plain,
% 49.67/32.77 ((~![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))),
% 49.67/32.77 inference(quant_inst,[status(thm)],[])).
% 49.67/32.77 tff(22702,plain,
% 49.67/32.77 ((~![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)),
% 49.67/32.77 inference(modus_ponens,[status(thm)],[22701, 22700])).
% 49.67/32.77 tff(22703,plain,
% 49.67/32.77 ((~v90(constB170, bitIndex1)) | v100(constB171) | v90(constB171, bitIndex1)),
% 49.67/32.77 inference(unit_resolution,[status(thm)],[22702, 747, 22653])).
% 49.67/32.77 tff(22704,plain,
% 49.67/32.77 ((~v90(constB170, bitIndex1)) | v90(constB171, bitIndex1)),
% 49.67/32.77 inference(unit_resolution,[status(thm)],[22703, 22665])).
% 49.67/32.77 tff(22705,plain,
% 49.67/32.77 (v90(constB171, bitIndex1)),
% 49.67/32.77 inference(unit_resolution,[status(thm)],[22704, 22696])).
% 49.67/32.77 tff(22706,plain,
% 49.67/32.77 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB169)) | v130(constB169, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB169)) | v130(constB169, bitIndex0))),
% 49.67/32.77 inference(rewrite,[status(thm)],[])).
% 49.67/32.77 tff(22707,plain,
% 49.67/32.77 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB169)) | v130(constB169, bitIndex0))),
% 49.67/32.77 inference(quant_inst,[status(thm)],[])).
% 49.67/32.77 tff(22708,plain,
% 49.67/32.77 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB169)) | v130(constB169, bitIndex0)),
% 49.67/32.77 inference(modus_ponens,[status(thm)],[22707, 22706])).
% 49.67/32.77 tff(22709,plain,
% 49.67/32.77 (v130(constB169, bitIndex0)),
% 49.67/32.77 inference(unit_resolution,[status(thm)],[22708, 1748, 22552])).
% 49.67/32.77 tff(22710,plain,
% 49.67/32.77 (((~![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))),
% 49.67/32.77 inference(rewrite,[status(thm)],[])).
% 49.67/32.77 tff(22711,plain,
% 49.67/32.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB169) | (~v130(constB169, bitIndex0)) | v127(constB169, bitIndex0))),
% 49.67/32.77 inference(quant_inst,[status(thm)],[])).
% 49.67/32.77 tff(22712,plain,
% 49.67/32.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB169) | (~v130(constB169, bitIndex0)) | v127(constB169, bitIndex0)),
% 49.67/32.77 inference(modus_ponens,[status(thm)],[22711, 22710])).
% 49.67/32.77 tff(22713,plain,
% 49.67/32.77 ((~v130(constB169, bitIndex0)) | v127(constB169, bitIndex0)),
% 49.67/32.77 inference(unit_resolution,[status(thm)],[22712, 926, 22576])).
% 49.67/32.77 tff(22714,plain,
% 49.67/32.77 (v127(constB169, bitIndex0)),
% 49.67/32.77 inference(unit_resolution,[status(thm)],[22713, 22709])).
% 49.67/32.77 tff(22715,plain,
% 49.67/32.77 (((~![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))),
% 49.67/32.77 inference(rewrite,[status(thm)],[])).
% 49.67/32.77 tff(22716,plain,
% 49.67/32.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB169, constB170)) | (~v127(constB169, bitIndex0)) | v129(constB170, bitIndex0))),
% 49.67/32.77 inference(quant_inst,[status(thm)],[])).
% 49.67/32.77 tff(22717,plain,
% 49.67/32.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB169, constB170)) | (~v127(constB169, bitIndex0)) | v129(constB170, bitIndex0)),
% 49.67/32.77 inference(modus_ponens,[status(thm)],[22716, 22715])).
% 49.67/32.77 tff(22718,plain,
% 49.67/32.77 ((~v127(constB169, bitIndex0)) | v129(constB170, bitIndex0)),
% 49.67/32.77 inference(unit_resolution,[status(thm)],[22717, 944, 22588])).
% 49.67/32.77 tff(22719,plain,
% 49.67/32.77 (v129(constB170, bitIndex0)),
% 49.67/32.77 inference(unit_resolution,[status(thm)],[22718, 22714])).
% 49.67/32.77 tff(22720,plain,
% 49.67/32.77 (((~![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)))),
% 49.67/32.77 inference(rewrite,[status(thm)],[])).
% 49.67/32.77 tff(22721,plain,
% 49.67/32.77 ((v90(constB170, bitIndex0) | (~v100(constB170)) | (~v129(constB170, bitIndex0))) <=> (v90(constB170, bitIndex0) | (~v129(constB170, bitIndex0)) | (~v100(constB170)))),
% 49.67/32.77 inference(rewrite,[status(thm)],[])).
% 49.67/32.77 tff(22722,plain,
% 49.67/32.77 (((~![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))))),
% 49.67/32.77 inference(monotonicity,[status(thm)],[22721])).
% 49.67/32.77 tff(22723,plain,
% 49.67/32.77 (((~![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)))),
% 49.67/32.77 inference(transitivity,[status(thm)],[22722, 22720])).
% 49.67/32.77 tff(22724,plain,
% 49.67/32.77 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB170, bitIndex0) | (~v100(constB170)) | (~v129(constB170, bitIndex0)))),
% 49.67/32.77 inference(quant_inst,[status(thm)],[])).
% 49.67/32.77 tff(22725,plain,
% 49.67/32.77 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB170, bitIndex0) | (~v129(constB170, bitIndex0)) | (~v100(constB170))),
% 49.67/32.77 inference(modus_ponens,[status(thm)],[22724, 22723])).
% 49.67/32.77 tff(22726,plain,
% 49.67/32.77 (v90(constB170, bitIndex0) | (~v100(constB170))),
% 49.67/32.77 inference(unit_resolution,[status(thm)],[22725, 1088, 22719])).
% 49.67/32.77 tff(22727,plain,
% 49.67/32.77 (v90(constB170, bitIndex0)),
% 49.67/32.77 inference(unit_resolution,[status(thm)],[22726, 22622])).
% 49.67/32.77 tff(22728,plain,
% 49.67/32.77 (((~![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))),
% 49.67/32.78 inference(rewrite,[status(thm)],[])).
% 49.67/32.78 tff(22729,plain,
% 49.67/32.78 (((~nextState(constB170, constB171)) | (~v90(constB170, bitIndex0)) | v100(constB171) | v90(constB171, bitIndex0)) <=> ((~v90(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, bitIndex0))),
% 49.67/32.78 inference(rewrite,[status(thm)],[])).
% 49.67/32.78 tff(22730,plain,
% 49.67/32.78 (((~![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)))),
% 49.67/32.78 inference(monotonicity,[status(thm)],[22729])).
% 49.67/32.78 tff(22731,plain,
% 49.67/32.78 (((~![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))),
% 49.67/32.78 inference(transitivity,[status(thm)],[22730, 22728])).
% 49.67/32.78 tff(22732,plain,
% 49.67/32.78 ((~![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))),
% 49.67/32.78 inference(quant_inst,[status(thm)],[])).
% 49.67/32.78 tff(22733,plain,
% 49.67/32.78 ((~![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)),
% 49.67/32.78 inference(modus_ponens,[status(thm)],[22732, 22731])).
% 49.67/32.78 tff(22734,plain,
% 49.67/32.78 ((~v90(constB170, bitIndex0)) | v100(constB171) | v90(constB171, bitIndex0)),
% 49.67/32.78 inference(unit_resolution,[status(thm)],[22733, 1124, 22653])).
% 49.67/32.78 tff(22735,plain,
% 49.67/32.78 ((~v90(constB170, bitIndex0)) | v90(constB171, bitIndex0)),
% 49.67/32.78 inference(unit_resolution,[status(thm)],[22734, 22665])).
% 49.67/32.78 tff(22736,plain,
% 49.67/32.78 (v90(constB171, bitIndex0)),
% 49.67/32.78 inference(unit_resolution,[status(thm)],[22735, 22727])).
% 49.67/32.78 tff(22737,plain,
% 49.67/32.78 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB171, bitIndex0)) | (~v90(constB171, bitIndex1)) | v90(constB171, bitIndex2) | v122(constB171))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB171, bitIndex0)) | (~v90(constB171, bitIndex1)) | v90(constB171, bitIndex2) | v122(constB171))),
% 49.67/32.78 inference(rewrite,[status(thm)],[])).
% 49.67/32.78 tff(22738,plain,
% 49.67/32.78 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB171, bitIndex0)) | (~v90(constB171, bitIndex1)) | v90(constB171, bitIndex2) | v122(constB171))),
% 49.67/32.78 inference(quant_inst,[status(thm)],[])).
% 49.67/32.78 tff(22739,plain,
% 49.67/32.78 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB171, bitIndex0)) | (~v90(constB171, bitIndex1)) | v90(constB171, bitIndex2) | v122(constB171)),
% 49.67/32.78 inference(modus_ponens,[status(thm)],[22738, 22737])).
% 49.67/32.78 tff(22740,plain,
% 49.67/32.78 (v122(constB171)),
% 49.67/32.78 inference(unit_resolution,[status(thm)],[22739, 1789, 22736, 22705, 22674])).
% 49.67/32.78 tff(22741,plain,
% 49.67/32.78 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB171) | (~v122(constB171)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB171) | (~v122(constB171)))),
% 49.67/32.78 inference(rewrite,[status(thm)],[])).
% 49.67/32.78 tff(22742,plain,
% 49.67/32.78 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB171) | (~v122(constB171)))),
% 49.67/32.78 inference(quant_inst,[status(thm)],[])).
% 49.67/32.78 tff(22743,plain,
% 49.67/32.78 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB171) | (~v122(constB171))),
% 49.67/32.78 inference(modus_ponens,[status(thm)],[22742, 22741])).
% 49.67/32.78 tff(22744,plain,
% 49.67/32.78 (v116(constB171)),
% 49.67/32.78 inference(unit_resolution,[status(thm)],[22743, 1800, 22740])).
% 49.67/32.78 tff(22745,plain,
% 49.67/32.78 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB171) | (~v116(constB171)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB171) | (~v116(constB171)))),
% 49.67/32.78 inference(rewrite,[status(thm)],[])).
% 49.67/32.78 tff(22746,plain,
% 49.67/32.78 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB171) | (~v116(constB171)))),
% 49.67/32.78 inference(quant_inst,[status(thm)],[])).
% 49.67/32.78 tff(22747,plain,
% 49.67/32.78 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB171) | (~v116(constB171))),
% 49.67/32.78 inference(modus_ponens,[status(thm)],[22746, 22745])).
% 49.67/32.78 tff(22748,plain,
% 49.67/32.78 (v115(constB171)),
% 49.67/32.78 inference(unit_resolution,[status(thm)],[22747, 188, 22744])).
% 49.67/32.78 tff(22749,plain,
% 49.67/32.78 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB171) | (~v115(constB171)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB171) | (~v115(constB171)))),
% 49.67/32.78 inference(rewrite,[status(thm)],[])).
% 49.67/32.78 tff(22750,plain,
% 49.67/32.78 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB171) | (~v115(constB171)))),
% 49.67/32.78 inference(quant_inst,[status(thm)],[])).
% 49.67/32.78 tff(22751,plain,
% 49.67/32.78 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB171) | (~v115(constB171))),
% 49.67/32.78 inference(modus_ponens,[status(thm)],[22750, 22749])).
% 49.67/32.78 tff(22752,plain,
% 49.67/32.78 (v114(constB171)),
% 49.67/32.78 inference(unit_resolution,[status(thm)],[22751, 199, 22748])).
% 49.67/32.78 tff(22753,plain,
% 49.67/32.78 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB171) | (~v114(constB171)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB171) | (~v114(constB171)))),
% 49.67/32.78 inference(rewrite,[status(thm)],[])).
% 49.67/32.78 tff(22754,plain,
% 49.67/32.78 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB171) | (~v114(constB171)))),
% 49.67/32.78 inference(quant_inst,[status(thm)],[])).
% 49.67/32.78 tff(22755,plain,
% 49.67/32.78 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB171) | (~v114(constB171))),
% 49.67/32.78 inference(modus_ponens,[status(thm)],[22754, 22753])).
% 49.67/32.78 tff(22756,plain,
% 49.67/32.78 (v113(constB171)),
% 49.67/32.78 inference(unit_resolution,[status(thm)],[22755, 210, 22752])).
% 49.67/32.78 tff(22757,assumption,(v26(constB171)), introduced(assumption)).
% 49.67/32.78 tff(22758,plain,
% 49.67/32.78 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB171))),
% 49.67/32.78 inference(quant_inst,[status(thm)],[])).
% 49.67/32.78 tff(22759,plain,
% 49.67/32.78 ($false),
% 49.67/32.78 inference(unit_resolution,[status(thm)],[22758, 16, 22757])).
% 49.67/32.78 tff(22760,plain,(~v26(constB171)), inference(lemma,lemma(discharge,[]))).
% 49.67/32.78 tff(22761,plain,
% 49.67/32.78 (((~![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)))),
% 49.67/32.78 inference(rewrite,[status(thm)],[])).
% 49.67/32.78 tff(22762,plain,
% 49.67/32.78 ((v26(constB171) | (~v113(constB171)) | v112(constB171)) <=> (v26(constB171) | v112(constB171) | (~v113(constB171)))),
% 49.67/32.78 inference(rewrite,[status(thm)],[])).
% 49.67/32.78 tff(22763,plain,
% 49.67/32.78 (((~![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))))),
% 49.67/32.78 inference(monotonicity,[status(thm)],[22762])).
% 49.67/32.78 tff(22764,plain,
% 49.67/32.78 (((~![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)))),
% 49.67/32.78 inference(transitivity,[status(thm)],[22763, 22761])).
% 49.67/32.78 tff(22765,plain,
% 49.67/32.78 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB171) | (~v113(constB171)) | v112(constB171))),
% 49.67/32.78 inference(quant_inst,[status(thm)],[])).
% 49.67/32.78 tff(22766,plain,
% 49.67/32.78 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB171) | v112(constB171) | (~v113(constB171))),
% 49.67/32.78 inference(modus_ponens,[status(thm)],[22765, 22764])).
% 49.67/32.78 tff(22767,plain,
% 49.67/32.78 (v112(constB171) | (~v113(constB171))),
% 49.67/32.78 inference(unit_resolution,[status(thm)],[22766, 224, 22760])).
% 49.67/32.78 tff(22768,plain,
% 49.67/32.78 (v112(constB171)),
% 49.67/32.78 inference(unit_resolution,[status(thm)],[22767, 22756])).
% 49.67/32.78 tff(22769,plain,
% 49.67/32.78 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB171) | (~v112(constB171)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB171) | (~v112(constB171)))),
% 49.67/32.78 inference(rewrite,[status(thm)],[])).
% 49.67/32.78 tff(22770,plain,
% 49.67/32.78 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB171) | (~v112(constB171)))),
% 49.67/32.78 inference(quant_inst,[status(thm)],[])).
% 49.67/32.78 tff(22771,plain,
% 49.67/32.78 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB171) | (~v112(constB171))),
% 49.67/32.78 inference(modus_ponens,[status(thm)],[22770, 22769])).
% 49.67/32.78 tff(22772,plain,
% 49.67/32.78 (v108(constB171)),
% 49.67/32.78 inference(unit_resolution,[status(thm)],[22771, 236, 22768])).
% 49.67/32.78 tff(22773,plain,
% 49.67/32.78 (nextState(constB171, constB172) <=> nextState(constB171, constB172)),
% 49.67/32.78 inference(rewrite,[status(thm)],[])).
% 49.67/32.78 tff(22774,axiom,(nextState(constB171, constB172)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_171_1')).
% 49.67/32.78 tff(22775,plain,
% 49.67/32.78 (nextState(constB171, constB172)),
% 49.67/32.78 inference(modus_ponens,[status(thm)],[22774, 22773])).
% 49.67/32.78 tff(22776,plain,
% 49.67/32.78 (((~![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)))),
% 49.67/32.78 inference(rewrite,[status(thm)],[])).
% 49.67/32.78 tff(22777,plain,
% 49.67/32.78 (((~nextState(constB171, constB172)) | (~v108(constB171)) | v110(constB172)) <=> ((~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171)))),
% 49.67/32.78 inference(rewrite,[status(thm)],[])).
% 49.67/32.78 tff(22778,plain,
% 49.67/32.78 (((~![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))))),
% 49.67/32.78 inference(monotonicity,[status(thm)],[22777])).
% 49.67/32.78 tff(22779,plain,
% 49.67/32.78 (((~![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)))),
% 49.67/32.78 inference(transitivity,[status(thm)],[22778, 22776])).
% 49.67/32.78 tff(22780,plain,
% 49.67/32.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB171, constB172)) | (~v108(constB171)) | v110(constB172))),
% 49.67/32.78 inference(quant_inst,[status(thm)],[])).
% 49.67/32.78 tff(22781,plain,
% 49.67/32.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171))),
% 49.67/32.78 inference(modus_ponens,[status(thm)],[22780, 22779])).
% 49.67/32.78 tff(22782,plain,
% 49.67/32.78 (v110(constB172) | (~v108(constB171))),
% 49.67/32.78 inference(unit_resolution,[status(thm)],[22781, 253, 22775])).
% 49.67/32.78 tff(22783,plain,
% 49.67/32.78 (v110(constB172)),
% 49.67/32.78 inference(unit_resolution,[status(thm)],[22782, 22772])).
% 49.67/32.78 tff(22784,plain,
% 49.67/32.78 (((~![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)))),
% 49.67/32.78 inference(rewrite,[status(thm)],[])).
% 49.67/32.78 tff(22785,plain,
% 49.67/32.78 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB171) | (~nextState(constB171, constB172)) | (~v104(constB172)))),
% 49.67/32.78 inference(quant_inst,[status(thm)],[])).
% 49.67/32.78 tff(22786,plain,
% 49.67/32.78 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB171) | (~nextState(constB171, constB172)) | (~v104(constB172))),
% 49.67/32.78 inference(modus_ponens,[status(thm)],[22785, 22784])).
% 49.67/32.78 tff(22787,plain,
% 49.67/32.78 (~v104(constB172)),
% 49.67/32.78 inference(unit_resolution,[status(thm)],[22786, 271, 22775, 22650])).
% 49.67/32.78 tff(22788,plain,
% 49.67/32.78 (((~![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))),
% 49.67/32.78 inference(rewrite,[status(thm)],[])).
% 49.67/32.78 tff(22789,plain,
% 49.67/32.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB171, constB172)) | v102(constB172) | v104(constB172))),
% 49.67/32.78 inference(quant_inst,[status(thm)],[])).
% 49.67/32.78 tff(22790,plain,
% 49.67/32.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB171, constB172)) | v102(constB172) | v104(constB172)),
% 49.67/32.78 inference(modus_ponens,[status(thm)],[22789, 22788])).
% 49.67/32.78 tff(22791,plain,
% 49.67/32.78 (v102(constB172) | v104(constB172)),
% 49.67/32.78 inference(unit_resolution,[status(thm)],[22790, 285, 22775])).
% 49.67/32.78 tff(22792,plain,
% 49.67/32.78 (v102(constB172)),
% 49.67/32.78 inference(unit_resolution,[status(thm)],[22791, 22787])).
% 49.67/32.78 tff(22793,plain,
% 49.67/32.78 (v1(constB172) <=> v1(constB172)),
% 49.67/32.78 inference(rewrite,[status(thm)],[])).
% 49.67/32.78 tff(22794,axiom,(v1(constB172)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_172_1')).
% 49.67/32.78 tff(22795,plain,
% 49.67/32.78 (v1(constB172)),
% 49.67/32.78 inference(modus_ponens,[status(thm)],[22794, 22793])).
% 49.67/32.78 tff(22796,plain,
% 49.67/32.78 (((~![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)))),
% 49.67/32.78 inference(rewrite,[status(thm)],[])).
% 49.67/32.78 tff(22797,plain,
% 49.67/32.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB171, constB172)) | v101(constB172) | (~v102(constB172)) | (~v1(constB172)))),
% 49.67/32.78 inference(quant_inst,[status(thm)],[])).
% 49.67/32.78 tff(22798,plain,
% 49.67/32.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB171, constB172)) | v101(constB172) | (~v102(constB172)) | (~v1(constB172))),
% 49.67/32.78 inference(modus_ponens,[status(thm)],[22797, 22796])).
% 49.67/32.78 tff(22799,plain,
% 49.67/32.78 (v101(constB172) | (~v102(constB172))),
% 49.67/32.78 inference(unit_resolution,[status(thm)],[22798, 303, 22775, 22795])).
% 49.67/32.78 tff(22800,plain,
% 49.67/32.78 (v101(constB172)),
% 49.67/32.78 inference(unit_resolution,[status(thm)],[22799, 22792])).
% 49.67/32.78 tff(22801,plain,
% 49.67/32.78 (((~![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)))),
% 49.67/32.78 inference(rewrite,[status(thm)],[])).
% 49.67/32.78 tff(22802,plain,
% 49.67/32.78 (((~nextState(constB171, constB172)) | (~v101(constB172)) | (~v110(constB172)) | v100(constB172)) <=> ((~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172)))),
% 49.67/32.78 inference(rewrite,[status(thm)],[])).
% 49.67/32.78 tff(22803,plain,
% 49.67/32.78 (((~![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))))),
% 49.67/32.78 inference(monotonicity,[status(thm)],[22802])).
% 49.67/32.78 tff(22804,plain,
% 49.67/32.78 (((~![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)))),
% 49.67/32.78 inference(transitivity,[status(thm)],[22803, 22801])).
% 49.67/32.78 tff(22805,plain,
% 49.67/32.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB171, constB172)) | (~v101(constB172)) | (~v110(constB172)) | v100(constB172))),
% 49.67/32.78 inference(quant_inst,[status(thm)],[])).
% 49.67/32.78 tff(22806,plain,
% 49.67/32.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172))),
% 49.67/32.78 inference(modus_ponens,[status(thm)],[22805, 22804])).
% 49.67/32.78 tff(22807,plain,
% 49.67/32.78 (v100(constB172) | (~v101(constB172)) | (~v110(constB172))),
% 49.67/32.78 inference(unit_resolution,[status(thm)],[22806, 318, 22775])).
% 49.67/32.78 tff(22808,plain,
% 49.67/32.78 (v100(constB172) | (~v110(constB172))),
% 49.67/32.78 inference(unit_resolution,[status(thm)],[22807, 22800])).
% 49.67/32.78 tff(22809,plain,
% 49.67/32.78 (v100(constB172)),
% 49.67/32.78 inference(unit_resolution,[status(thm)],[22808, 22783])).
% 49.67/32.78 tff(22810,plain,
% 49.67/32.78 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB171)) | v130(constB171, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB171)) | v130(constB171, bitIndex2))),
% 49.67/32.78 inference(rewrite,[status(thm)],[])).
% 49.67/32.78 tff(22811,plain,
% 49.67/32.78 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB171)) | v130(constB171, bitIndex2))),
% 49.67/32.78 inference(quant_inst,[status(thm)],[])).
% 49.67/32.78 tff(22812,plain,
% 49.67/32.78 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB171)) | v130(constB171, bitIndex2)),
% 49.67/32.78 inference(modus_ponens,[status(thm)],[22811, 22810])).
% 49.67/32.78 tff(22813,plain,
% 49.67/32.78 (v130(constB171, bitIndex2)),
% 49.67/32.78 inference(unit_resolution,[status(thm)],[22812, 1876, 22740])).
% 49.67/32.78 tff(22814,plain,
% 49.67/32.78 (((~![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))) | v26(constB171) | (~v130(constB171, bitIndex2)) | v127(constB171, bitIndex2))),
% 49.67/32.78 inference(rewrite,[status(thm)],[])).
% 49.67/32.78 tff(22815,plain,
% 49.67/32.78 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB171) | (~v130(constB171, bitIndex2)) | v127(constB171, bitIndex2))),
% 49.67/32.78 inference(quant_inst,[status(thm)],[])).
% 49.67/32.78 tff(22816,plain,
% 49.67/32.78 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB171) | (~v130(constB171, bitIndex2)) | v127(constB171, bitIndex2)),
% 49.67/32.78 inference(modus_ponens,[status(thm)],[22815, 22814])).
% 49.67/32.78 tff(22817,plain,
% 49.67/32.78 ((~v130(constB171, bitIndex2)) | v127(constB171, bitIndex2)),
% 49.67/32.78 inference(unit_resolution,[status(thm)],[22816, 351, 22760])).
% 49.67/32.78 tff(22818,plain,
% 49.67/32.78 (v127(constB171, bitIndex2)),
% 49.67/32.78 inference(unit_resolution,[status(thm)],[22817, 22813])).
% 49.67/32.78 tff(22819,plain,
% 49.67/32.78 (((~![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))),
% 49.67/32.78 inference(rewrite,[status(thm)],[])).
% 49.67/32.78 tff(22820,plain,
% 49.67/32.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB171, constB172)) | (~v127(constB171, bitIndex2)) | v129(constB172, bitIndex2))),
% 49.67/32.78 inference(quant_inst,[status(thm)],[])).
% 49.67/32.78 tff(22821,plain,
% 49.67/32.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB171, constB172)) | (~v127(constB171, bitIndex2)) | v129(constB172, bitIndex2)),
% 49.67/32.78 inference(modus_ponens,[status(thm)],[22820, 22819])).
% 49.67/32.78 tff(22822,plain,
% 49.67/32.78 ((~v127(constB171, bitIndex2)) | v129(constB172, bitIndex2)),
% 49.67/32.78 inference(unit_resolution,[status(thm)],[22821, 366, 22775])).
% 49.67/32.78 tff(22823,plain,
% 49.67/32.78 (v129(constB172, bitIndex2)),
% 49.67/32.78 inference(unit_resolution,[status(thm)],[22822, 22818])).
% 49.67/32.78 tff(22824,plain,
% 49.67/32.78 (((~![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)))),
% 49.67/32.78 inference(rewrite,[status(thm)],[])).
% 49.67/32.78 tff(22825,plain,
% 49.67/32.78 ((v90(constB172, bitIndex2) | (~v100(constB172)) | (~v129(constB172, bitIndex2))) <=> (v90(constB172, bitIndex2) | (~v129(constB172, bitIndex2)) | (~v100(constB172)))),
% 49.67/32.78 inference(rewrite,[status(thm)],[])).
% 49.67/32.78 tff(22826,plain,
% 49.67/32.78 (((~![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))))),
% 49.67/32.78 inference(monotonicity,[status(thm)],[22825])).
% 49.67/32.78 tff(22827,plain,
% 49.67/32.78 (((~![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)))),
% 49.67/32.78 inference(transitivity,[status(thm)],[22826, 22824])).
% 49.67/32.78 tff(22828,plain,
% 49.67/32.78 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB172, bitIndex2) | (~v100(constB172)) | (~v129(constB172, bitIndex2)))),
% 49.67/32.78 inference(quant_inst,[status(thm)],[])).
% 49.67/32.78 tff(22829,plain,
% 49.67/32.78 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB172, bitIndex2) | (~v129(constB172, bitIndex2)) | (~v100(constB172))),
% 49.67/32.78 inference(modus_ponens,[status(thm)],[22828, 22827])).
% 49.67/32.78 tff(22830,plain,
% 49.67/32.78 (v90(constB172, bitIndex2) | (~v100(constB172))),
% 49.67/32.78 inference(unit_resolution,[status(thm)],[22829, 381, 22823])).
% 49.67/32.78 tff(22831,plain,
% 49.67/32.78 (v90(constB172, bitIndex2)),
% 49.67/32.78 inference(unit_resolution,[status(thm)],[22830, 22809])).
% 49.67/32.78 tff(22832,plain,
% 49.67/32.78 ((~v1(constB173)) <=> (~v1(constB173))),
% 49.67/32.78 inference(rewrite,[status(thm)],[])).
% 49.67/32.78 tff(22833,axiom,(~v1(constB173)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_173_1_1')).
% 49.67/32.78 tff(22834,plain,
% 49.67/32.78 (~v1(constB173)),
% 49.67/32.78 inference(modus_ponens,[status(thm)],[22833, 22832])).
% 49.67/32.78 tff(22835,plain,
% 49.67/32.78 (nextState(constB172, constB173) <=> nextState(constB172, constB173)),
% 49.67/32.78 inference(rewrite,[status(thm)],[])).
% 49.67/32.78 tff(22836,axiom,(nextState(constB172, constB173)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_172_1')).
% 49.67/32.78 tff(22837,plain,
% 49.67/32.78 (nextState(constB172, constB173)),
% 49.67/32.78 inference(modus_ponens,[status(thm)],[22836, 22835])).
% 49.67/32.78 tff(22838,plain,
% 49.67/32.78 (((~![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)))),
% 49.67/32.78 inference(rewrite,[status(thm)],[])).
% 49.67/32.78 tff(22839,plain,
% 49.67/32.78 (((~nextState(constB172, constB173)) | (~v101(constB173)) | v1(constB173)) <=> (v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173)))),
% 49.67/32.78 inference(rewrite,[status(thm)],[])).
% 49.67/32.78 tff(22840,plain,
% 49.67/32.78 (((~![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))))),
% 49.67/32.78 inference(monotonicity,[status(thm)],[22839])).
% 49.67/32.78 tff(22841,plain,
% 49.67/32.78 (((~![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)))),
% 49.67/32.78 inference(transitivity,[status(thm)],[22840, 22838])).
% 49.67/32.78 tff(22842,plain,
% 49.67/32.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB172, constB173)) | (~v101(constB173)) | v1(constB173))),
% 49.67/32.78 inference(quant_inst,[status(thm)],[])).
% 49.67/32.78 tff(22843,plain,
% 49.67/32.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173))),
% 49.67/32.78 inference(modus_ponens,[status(thm)],[22842, 22841])).
% 49.67/32.78 tff(22844,plain,
% 49.67/32.78 (~v101(constB173)),
% 49.67/32.78 inference(unit_resolution,[status(thm)],[22843, 49, 22837, 22834])).
% 49.67/32.78 tff(22845,plain,
% 49.67/32.78 (((~![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)))),
% 49.67/32.78 inference(rewrite,[status(thm)],[])).
% 49.67/32.78 tff(22846,plain,
% 49.67/32.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB172, constB173)) | v101(constB173) | (~v100(constB173)))),
% 49.67/32.78 inference(quant_inst,[status(thm)],[])).
% 49.67/32.78 tff(22847,plain,
% 49.67/32.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB172, constB173)) | v101(constB173) | (~v100(constB173))),
% 49.67/32.78 inference(modus_ponens,[status(thm)],[22846, 22845])).
% 49.67/32.78 tff(22848,plain,
% 49.67/32.78 (v101(constB173) | (~v100(constB173))),
% 49.67/32.78 inference(unit_resolution,[status(thm)],[22847, 66, 22837])).
% 49.67/32.78 tff(22849,plain,
% 49.67/32.78 (~v100(constB173)),
% 49.67/32.78 inference(unit_resolution,[status(thm)],[22848, 22844])).
% 49.67/32.78 tff(22850,plain,
% 49.67/32.78 (((~![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))),
% 49.67/32.78 inference(rewrite,[status(thm)],[])).
% 49.67/32.78 tff(22851,plain,
% 49.67/32.78 (((~nextState(constB172, constB173)) | (~v90(constB172, bitIndex2)) | v100(constB173) | v90(constB173, bitIndex2)) <=> ((~v90(constB172, bitIndex2)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, bitIndex2))),
% 49.67/32.78 inference(rewrite,[status(thm)],[])).
% 49.67/32.78 tff(22852,plain,
% 49.67/32.78 (((~![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)))),
% 49.67/32.78 inference(monotonicity,[status(thm)],[22851])).
% 49.67/32.78 tff(22853,plain,
% 49.67/32.78 (((~![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))),
% 49.67/32.78 inference(transitivity,[status(thm)],[22852, 22850])).
% 49.67/32.78 tff(22854,plain,
% 49.67/32.78 ((~![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))),
% 49.67/32.78 inference(quant_inst,[status(thm)],[])).
% 49.67/32.78 tff(22855,plain,
% 49.67/32.78 ((~![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)),
% 49.67/32.78 inference(modus_ponens,[status(thm)],[22854, 22853])).
% 49.67/32.78 tff(22856,plain,
% 49.67/32.78 ((~v90(constB172, bitIndex2)) | v100(constB173) | v90(constB173, bitIndex2)),
% 49.67/32.78 inference(unit_resolution,[status(thm)],[22855, 417, 22837])).
% 49.67/32.78 tff(22857,plain,
% 49.67/32.78 ((~v90(constB172, bitIndex2)) | v90(constB173, bitIndex2)),
% 49.67/32.78 inference(unit_resolution,[status(thm)],[22856, 22849])).
% 49.67/32.78 tff(22858,plain,
% 49.67/32.78 (v90(constB173, bitIndex2)),
% 49.67/32.78 inference(unit_resolution,[status(thm)],[22857, 22831])).
% 49.67/32.78 tff(22859,plain,
% 49.67/32.78 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB171)) | (~v130(constB171, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB171)) | (~v130(constB171, bitIndex1)))),
% 49.67/32.78 inference(rewrite,[status(thm)],[])).
% 49.67/32.78 tff(22860,plain,
% 49.67/32.78 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB171)) | (~v130(constB171, bitIndex1)))),
% 49.67/32.78 inference(quant_inst,[status(thm)],[])).
% 49.67/32.78 tff(22861,plain,
% 49.67/32.78 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB171)) | (~v130(constB171, bitIndex1))),
% 49.67/32.79 inference(modus_ponens,[status(thm)],[22860, 22859])).
% 49.67/32.79 tff(22862,plain,
% 49.67/32.79 (~v130(constB171, bitIndex1)),
% 49.67/32.79 inference(unit_resolution,[status(thm)],[22861, 1935, 22740])).
% 49.67/32.79 tff(22863,plain,
% 49.67/32.79 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB171, bitIndex1)) | v26(constB171) | v130(constB171, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB171, bitIndex1)) | v26(constB171) | v130(constB171, bitIndex1))),
% 49.67/32.79 inference(rewrite,[status(thm)],[])).
% 49.67/32.79 tff(22864,plain,
% 49.67/32.79 ((v26(constB171) | v130(constB171, bitIndex1) | (~v127(constB171, bitIndex1))) <=> ((~v127(constB171, bitIndex1)) | v26(constB171) | v130(constB171, bitIndex1))),
% 49.67/32.79 inference(rewrite,[status(thm)],[])).
% 49.67/32.79 tff(22865,plain,
% 49.67/32.79 (((~![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)))) | ((~v127(constB171, bitIndex1)) | v26(constB171) | v130(constB171, bitIndex1)))),
% 49.67/32.79 inference(monotonicity,[status(thm)],[22864])).
% 49.67/32.79 tff(22866,plain,
% 49.67/32.79 (((~![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)))) | (~v127(constB171, bitIndex1)) | v26(constB171) | v130(constB171, bitIndex1))),
% 49.67/32.79 inference(transitivity,[status(thm)],[22865, 22863])).
% 49.67/32.79 tff(22867,plain,
% 49.67/32.79 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB171) | v130(constB171, bitIndex1) | (~v127(constB171, bitIndex1)))),
% 49.67/32.79 inference(quant_inst,[status(thm)],[])).
% 49.67/32.79 tff(22868,plain,
% 49.67/32.79 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB171, bitIndex1)) | v26(constB171) | v130(constB171, bitIndex1)),
% 49.67/32.79 inference(modus_ponens,[status(thm)],[22867, 22866])).
% 49.67/32.79 tff(22869,plain,
% 49.67/32.79 ((~v127(constB171, bitIndex1)) | v130(constB171, bitIndex1)),
% 49.67/32.79 inference(unit_resolution,[status(thm)],[22868, 450, 22760])).
% 49.67/32.79 tff(22870,plain,
% 49.67/32.79 (~v127(constB171, bitIndex1)),
% 49.67/32.79 inference(unit_resolution,[status(thm)],[22869, 22862])).
% 49.67/32.79 tff(22871,plain,
% 49.67/32.79 (((~![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)))),
% 49.67/32.79 inference(rewrite,[status(thm)],[])).
% 49.67/32.79 tff(22872,plain,
% 49.67/32.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB171, constB172)) | v127(constB171, bitIndex1) | (~v129(constB172, bitIndex1)))),
% 49.67/32.79 inference(quant_inst,[status(thm)],[])).
% 49.67/32.79 tff(22873,plain,
% 49.67/32.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB171, constB172)) | v127(constB171, bitIndex1) | (~v129(constB172, bitIndex1))),
% 49.67/32.79 inference(modus_ponens,[status(thm)],[22872, 22871])).
% 49.67/32.79 tff(22874,plain,
% 49.67/32.79 (v127(constB171, bitIndex1) | (~v129(constB172, bitIndex1))),
% 49.67/32.79 inference(unit_resolution,[status(thm)],[22873, 468, 22775])).
% 49.67/32.79 tff(22875,plain,
% 49.67/32.79 (~v129(constB172, bitIndex1)),
% 49.67/32.79 inference(unit_resolution,[status(thm)],[22874, 22870])).
% 49.67/32.79 tff(22876,plain,
% 49.67/32.79 (((~![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)))),
% 49.67/32.79 inference(rewrite,[status(thm)],[])).
% 49.67/32.79 tff(22877,plain,
% 49.67/32.79 (((~v90(constB172, bitIndex1)) | (~v100(constB172)) | v129(constB172, bitIndex1)) <=> ((~v90(constB172, bitIndex1)) | v129(constB172, bitIndex1) | (~v100(constB172)))),
% 49.67/32.79 inference(rewrite,[status(thm)],[])).
% 49.67/32.79 tff(22878,plain,
% 49.67/32.79 (((~![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))))),
% 49.67/32.79 inference(monotonicity,[status(thm)],[22877])).
% 49.67/32.79 tff(22879,plain,
% 49.67/32.79 (((~![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)))),
% 49.67/32.79 inference(transitivity,[status(thm)],[22878, 22876])).
% 49.67/32.79 tff(22880,plain,
% 49.67/32.79 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB172, bitIndex1)) | (~v100(constB172)) | v129(constB172, bitIndex1))),
% 49.67/32.79 inference(quant_inst,[status(thm)],[])).
% 49.67/32.79 tff(22881,plain,
% 49.67/32.79 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB172, bitIndex1)) | v129(constB172, bitIndex1) | (~v100(constB172))),
% 49.67/32.79 inference(modus_ponens,[status(thm)],[22880, 22879])).
% 49.67/32.79 tff(22882,plain,
% 49.67/32.79 ((~v90(constB172, bitIndex1)) | (~v100(constB172))),
% 49.67/32.79 inference(unit_resolution,[status(thm)],[22881, 483, 22875])).
% 49.67/32.79 tff(22883,plain,
% 49.67/32.79 (~v90(constB172, bitIndex1)),
% 49.67/32.79 inference(unit_resolution,[status(thm)],[22882, 22809])).
% 49.67/32.79 tff(22884,plain,
% 49.67/32.79 (((~![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)))),
% 49.67/32.79 inference(rewrite,[status(thm)],[])).
% 49.67/32.79 tff(22885,plain,
% 49.67/32.79 (((~nextState(constB172, constB173)) | v90(constB172, bitIndex1) | v100(constB173) | (~v90(constB173, bitIndex1))) <=> (v90(constB172, bitIndex1) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex1)))),
% 49.67/32.79 inference(rewrite,[status(thm)],[])).
% 49.67/32.79 tff(22886,plain,
% 49.67/32.79 (((~![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))))),
% 49.67/32.79 inference(monotonicity,[status(thm)],[22885])).
% 49.67/32.79 tff(22887,plain,
% 49.67/32.79 (((~![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)))),
% 49.67/32.79 inference(transitivity,[status(thm)],[22886, 22884])).
% 49.67/32.79 tff(22888,plain,
% 49.67/32.79 ((~![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)))),
% 49.67/32.79 inference(quant_inst,[status(thm)],[])).
% 49.67/32.79 tff(22889,plain,
% 49.67/32.79 ((~![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))),
% 49.67/32.79 inference(modus_ponens,[status(thm)],[22888, 22887])).
% 49.67/32.79 tff(22890,plain,
% 49.67/32.79 (v90(constB172, bitIndex1) | v100(constB173) | (~v90(constB173, bitIndex1))),
% 49.67/32.79 inference(unit_resolution,[status(thm)],[22889, 102, 22837])).
% 49.67/32.79 tff(22891,plain,
% 49.67/32.79 (v90(constB172, bitIndex1) | (~v90(constB173, bitIndex1))),
% 49.67/32.79 inference(unit_resolution,[status(thm)],[22890, 22849])).
% 49.67/32.79 tff(22892,plain,
% 49.67/32.79 (~v90(constB173, bitIndex1)),
% 49.67/32.79 inference(unit_resolution,[status(thm)],[22891, 22883])).
% 49.67/32.79 tff(22893,plain,
% 49.67/32.79 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB171)) | (~v130(constB171, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB171)) | (~v130(constB171, bitIndex0)))),
% 49.67/32.79 inference(rewrite,[status(thm)],[])).
% 49.67/32.79 tff(22894,plain,
% 49.67/32.79 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB171)) | (~v130(constB171, bitIndex0)))),
% 49.67/32.79 inference(quant_inst,[status(thm)],[])).
% 49.67/32.79 tff(22895,plain,
% 49.67/32.79 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB171)) | (~v130(constB171, bitIndex0))),
% 49.67/32.79 inference(modus_ponens,[status(thm)],[22894, 22893])).
% 49.67/32.79 tff(22896,plain,
% 49.67/32.79 (~v130(constB171, bitIndex0)),
% 49.67/32.79 inference(unit_resolution,[status(thm)],[22895, 1997, 22740])).
% 49.67/32.79 tff(22897,plain,
% 49.67/32.79 (((~![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))),
% 49.67/32.79 inference(rewrite,[status(thm)],[])).
% 49.67/32.79 tff(22898,plain,
% 49.67/32.79 ((v26(constB171) | v130(constB171, bitIndex0) | (~v127(constB171, bitIndex0))) <=> ((~v127(constB171, bitIndex0)) | v26(constB171) | v130(constB171, bitIndex0))),
% 49.67/32.79 inference(rewrite,[status(thm)],[])).
% 49.67/32.79 tff(22899,plain,
% 49.67/32.79 (((~![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)))),
% 49.67/32.79 inference(monotonicity,[status(thm)],[22898])).
% 49.67/32.79 tff(22900,plain,
% 49.67/32.79 (((~![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))),
% 49.67/32.79 inference(transitivity,[status(thm)],[22899, 22897])).
% 49.67/32.79 tff(22901,plain,
% 49.67/32.79 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB171) | v130(constB171, bitIndex0) | (~v127(constB171, bitIndex0)))),
% 49.67/32.79 inference(quant_inst,[status(thm)],[])).
% 49.67/32.79 tff(22902,plain,
% 49.67/32.79 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB171, bitIndex0)) | v26(constB171) | v130(constB171, bitIndex0)),
% 49.67/32.79 inference(modus_ponens,[status(thm)],[22901, 22900])).
% 49.67/32.79 tff(22903,plain,
% 49.67/32.79 ((~v127(constB171, bitIndex0)) | v130(constB171, bitIndex0)),
% 49.67/32.79 inference(unit_resolution,[status(thm)],[22902, 524, 22760])).
% 49.67/32.79 tff(22904,plain,
% 49.67/32.79 (~v127(constB171, bitIndex0)),
% 49.67/32.79 inference(unit_resolution,[status(thm)],[22903, 22896])).
% 49.67/32.79 tff(22905,plain,
% 49.67/32.79 (((~![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)))),
% 49.67/32.79 inference(rewrite,[status(thm)],[])).
% 49.67/32.79 tff(22906,plain,
% 49.67/32.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB171, constB172)) | v127(constB171, bitIndex0) | (~v129(constB172, bitIndex0)))),
% 49.67/32.79 inference(quant_inst,[status(thm)],[])).
% 49.67/32.79 tff(22907,plain,
% 49.67/32.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB171, constB172)) | v127(constB171, bitIndex0) | (~v129(constB172, bitIndex0))),
% 49.67/32.79 inference(modus_ponens,[status(thm)],[22906, 22905])).
% 49.67/32.79 tff(22908,plain,
% 49.67/32.79 (v127(constB171, bitIndex0) | (~v129(constB172, bitIndex0))),
% 49.67/32.79 inference(unit_resolution,[status(thm)],[22907, 542, 22775])).
% 49.67/32.79 tff(22909,plain,
% 49.67/32.79 (~v129(constB172, bitIndex0)),
% 49.67/32.79 inference(unit_resolution,[status(thm)],[22908, 22904])).
% 49.67/32.79 tff(22910,plain,
% 49.67/32.79 (((~![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)))),
% 49.67/32.79 inference(rewrite,[status(thm)],[])).
% 49.67/32.79 tff(22911,plain,
% 49.67/32.79 (((~v90(constB172, bitIndex0)) | (~v100(constB172)) | v129(constB172, bitIndex0)) <=> ((~v90(constB172, bitIndex0)) | v129(constB172, bitIndex0) | (~v100(constB172)))),
% 49.67/32.79 inference(rewrite,[status(thm)],[])).
% 49.67/32.79 tff(22912,plain,
% 49.67/32.79 (((~![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))))),
% 49.67/32.79 inference(monotonicity,[status(thm)],[22911])).
% 49.67/32.79 tff(22913,plain,
% 49.67/32.79 (((~![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)))),
% 49.67/32.79 inference(transitivity,[status(thm)],[22912, 22910])).
% 49.67/32.79 tff(22914,plain,
% 49.67/32.79 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB172, bitIndex0)) | (~v100(constB172)) | v129(constB172, bitIndex0))),
% 49.67/32.79 inference(quant_inst,[status(thm)],[])).
% 49.67/32.79 tff(22915,plain,
% 49.67/32.79 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB172, bitIndex0)) | v129(constB172, bitIndex0) | (~v100(constB172))),
% 49.67/32.79 inference(modus_ponens,[status(thm)],[22914, 22913])).
% 49.67/32.79 tff(22916,plain,
% 49.67/32.79 ((~v90(constB172, bitIndex0)) | (~v100(constB172))),
% 49.67/32.79 inference(unit_resolution,[status(thm)],[22915, 557, 22909])).
% 49.67/32.79 tff(22917,plain,
% 49.67/32.79 (~v90(constB172, bitIndex0)),
% 49.67/32.79 inference(unit_resolution,[status(thm)],[22916, 22809])).
% 49.67/32.79 tff(22918,plain,
% 49.67/32.79 (((~![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)))),
% 49.67/32.79 inference(rewrite,[status(thm)],[])).
% 49.67/32.79 tff(22919,plain,
% 49.67/32.79 (((~nextState(constB172, constB173)) | v90(constB172, bitIndex0) | v100(constB173) | (~v90(constB173, bitIndex0))) <=> (v90(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, bitIndex0)))),
% 49.67/32.79 inference(rewrite,[status(thm)],[])).
% 49.67/32.79 tff(22920,plain,
% 49.67/32.79 (((~![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))))),
% 49.67/32.79 inference(monotonicity,[status(thm)],[22919])).
% 49.67/32.79 tff(22921,plain,
% 49.67/32.79 (((~![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)))),
% 49.67/32.79 inference(transitivity,[status(thm)],[22920, 22918])).
% 49.67/32.79 tff(22922,plain,
% 49.67/32.79 ((~![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)))),
% 49.67/32.79 inference(quant_inst,[status(thm)],[])).
% 49.67/32.79 tff(22923,plain,
% 49.67/32.79 ((~![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))),
% 49.67/32.79 inference(modus_ponens,[status(thm)],[22922, 22921])).
% 49.67/32.79 tff(22924,plain,
% 49.67/32.79 (v90(constB172, bitIndex0) | v100(constB173) | (~v90(constB173, bitIndex0))),
% 49.67/32.79 inference(unit_resolution,[status(thm)],[22923, 123, 22837])).
% 49.67/32.79 tff(22925,plain,
% 49.67/32.79 (v90(constB172, bitIndex0) | (~v90(constB173, bitIndex0))),
% 49.67/32.79 inference(unit_resolution,[status(thm)],[22924, 22849])).
% 49.67/32.79 tff(22926,plain,
% 49.67/32.79 (~v90(constB173, bitIndex0)),
% 49.67/32.79 inference(unit_resolution,[status(thm)],[22925, 22917])).
% 49.67/32.79 tff(22927,plain,
% 49.67/32.79 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB173, bitIndex0) | v90(constB173, bitIndex1) | (~v90(constB173, bitIndex2)) | v123(constB173))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB173, bitIndex0) | v90(constB173, bitIndex1) | (~v90(constB173, bitIndex2)) | v123(constB173))),
% 49.67/32.79 inference(rewrite,[status(thm)],[])).
% 49.67/32.79 tff(22928,plain,
% 49.67/32.79 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB173, bitIndex0) | v90(constB173, bitIndex1) | (~v90(constB173, bitIndex2)) | v123(constB173))),
% 49.67/32.79 inference(quant_inst,[status(thm)],[])).
% 49.67/32.79 tff(22929,plain,
% 49.67/32.79 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB173, bitIndex0) | v90(constB173, bitIndex1) | (~v90(constB173, bitIndex2)) | v123(constB173)),
% 49.67/32.79 inference(modus_ponens,[status(thm)],[22928, 22927])).
% 49.67/32.79 tff(22930,plain,
% 49.67/32.79 (v123(constB173)),
% 49.67/32.79 inference(unit_resolution,[status(thm)],[22929, 584, 22926, 22892, 22858])).
% 49.67/32.79 tff(22931,plain,
% 49.67/32.79 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB173) | (~v123(constB173)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB173) | (~v123(constB173)))),
% 49.67/32.79 inference(rewrite,[status(thm)],[])).
% 49.67/32.79 tff(22932,plain,
% 49.67/32.79 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB173) | (~v123(constB173)))),
% 49.67/32.79 inference(quant_inst,[status(thm)],[])).
% 49.67/32.79 tff(22933,plain,
% 49.67/32.79 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB173) | (~v123(constB173))),
% 49.67/32.79 inference(modus_ponens,[status(thm)],[22932, 22931])).
% 49.67/32.79 tff(22934,plain,
% 49.67/32.79 (v115(constB173)),
% 49.67/32.79 inference(unit_resolution,[status(thm)],[22933, 595, 22930])).
% 49.67/32.79 tff(22935,plain,
% 49.67/32.79 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB173) | (~v115(constB173)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB173) | (~v115(constB173)))),
% 49.67/32.79 inference(rewrite,[status(thm)],[])).
% 49.67/32.79 tff(22936,plain,
% 49.67/32.79 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB173) | (~v115(constB173)))),
% 49.67/32.79 inference(quant_inst,[status(thm)],[])).
% 49.67/32.79 tff(22937,plain,
% 49.67/32.79 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB173) | (~v115(constB173))),
% 49.67/32.79 inference(modus_ponens,[status(thm)],[22936, 22935])).
% 49.67/32.79 tff(22938,plain,
% 49.67/32.79 (v114(constB173)),
% 49.67/32.79 inference(unit_resolution,[status(thm)],[22937, 199, 22934])).
% 49.67/32.79 tff(22939,plain,
% 49.67/32.79 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB173) | (~v114(constB173)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB173) | (~v114(constB173)))),
% 49.67/32.79 inference(rewrite,[status(thm)],[])).
% 49.67/32.79 tff(22940,plain,
% 49.67/32.79 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB173) | (~v114(constB173)))),
% 49.67/32.79 inference(quant_inst,[status(thm)],[])).
% 49.67/32.79 tff(22941,plain,
% 49.67/32.79 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB173) | (~v114(constB173))),
% 49.67/32.79 inference(modus_ponens,[status(thm)],[22940, 22939])).
% 49.67/32.79 tff(22942,plain,
% 49.67/32.79 (v113(constB173)),
% 49.67/32.79 inference(unit_resolution,[status(thm)],[22941, 210, 22938])).
% 49.67/32.79 tff(22943,assumption,(v26(constB173)), introduced(assumption)).
% 49.67/32.79 tff(22944,plain,
% 49.67/32.79 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB173))),
% 49.67/32.79 inference(quant_inst,[status(thm)],[])).
% 49.67/32.79 tff(22945,plain,
% 49.67/32.79 ($false),
% 49.67/32.79 inference(unit_resolution,[status(thm)],[22944, 16, 22943])).
% 49.67/32.79 tff(22946,plain,(~v26(constB173)), inference(lemma,lemma(discharge,[]))).
% 49.67/32.79 tff(22947,plain,
% 49.67/32.79 (((~![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))),
% 49.67/32.79 inference(rewrite,[status(thm)],[])).
% 49.67/32.79 tff(22948,plain,
% 49.67/32.79 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB173) | (~v113(constB173)) | v112(constB173))),
% 49.67/32.79 inference(quant_inst,[status(thm)],[])).
% 49.67/32.79 tff(22949,plain,
% 49.67/32.79 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB173) | (~v113(constB173)) | v112(constB173)),
% 49.67/32.79 inference(modus_ponens,[status(thm)],[22948, 22947])).
% 49.67/32.79 tff(22950,plain,
% 49.67/32.79 ((~v113(constB173)) | v112(constB173)),
% 49.67/32.79 inference(unit_resolution,[status(thm)],[22949, 224, 22946])).
% 49.67/32.79 tff(22951,plain,
% 49.67/32.79 (v112(constB173)),
% 49.67/32.79 inference(unit_resolution,[status(thm)],[22950, 22942])).
% 49.67/32.79 tff(22952,plain,
% 49.67/32.79 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB173) | (~v112(constB173)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB173) | (~v112(constB173)))),
% 49.67/32.79 inference(rewrite,[status(thm)],[])).
% 49.67/32.79 tff(22953,plain,
% 49.67/32.79 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB173) | (~v112(constB173)))),
% 49.67/32.79 inference(quant_inst,[status(thm)],[])).
% 49.67/32.79 tff(22954,plain,
% 49.67/32.79 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB173) | (~v112(constB173))),
% 49.67/32.79 inference(modus_ponens,[status(thm)],[22953, 22952])).
% 49.67/32.79 tff(22955,plain,
% 49.67/32.79 (v108(constB173)),
% 49.67/32.79 inference(unit_resolution,[status(thm)],[22954, 236, 22951])).
% 49.67/32.79 tff(22956,plain,
% 49.67/32.79 (nextState(constB173, constB174) <=> nextState(constB173, constB174)),
% 49.67/32.79 inference(rewrite,[status(thm)],[])).
% 49.67/32.79 tff(22957,axiom,(nextState(constB173, constB174)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_173_1')).
% 49.67/32.79 tff(22958,plain,
% 49.67/32.79 (nextState(constB173, constB174)),
% 49.67/32.79 inference(modus_ponens,[status(thm)],[22957, 22956])).
% 49.67/32.79 tff(22959,plain,
% 49.67/32.79 (((~![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)))),
% 49.67/32.79 inference(rewrite,[status(thm)],[])).
% 49.67/32.79 tff(22960,plain,
% 49.67/32.79 (((~nextState(constB173, constB174)) | (~v108(constB173)) | v110(constB174)) <=> ((~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173)))),
% 49.67/32.79 inference(rewrite,[status(thm)],[])).
% 49.67/32.79 tff(22961,plain,
% 49.67/32.79 (((~![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))))),
% 49.67/32.79 inference(monotonicity,[status(thm)],[22960])).
% 49.67/32.79 tff(22962,plain,
% 49.67/32.79 (((~![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)))),
% 49.67/32.79 inference(transitivity,[status(thm)],[22961, 22959])).
% 49.67/32.79 tff(22963,plain,
% 49.67/32.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB173, constB174)) | (~v108(constB173)) | v110(constB174))),
% 49.67/32.79 inference(quant_inst,[status(thm)],[])).
% 49.67/32.79 tff(22964,plain,
% 49.67/32.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173))),
% 49.67/32.79 inference(modus_ponens,[status(thm)],[22963, 22962])).
% 49.67/32.79 tff(22965,plain,
% 49.67/32.79 (v110(constB174) | (~v108(constB173))),
% 49.67/32.79 inference(unit_resolution,[status(thm)],[22964, 253, 22958])).
% 49.67/32.79 tff(22966,plain,
% 49.67/32.79 (v110(constB174)),
% 49.67/32.79 inference(unit_resolution,[status(thm)],[22965, 22955])).
% 49.67/32.79 tff(22967,plain,
% 49.67/32.79 (((~![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)))),
% 49.67/32.79 inference(rewrite,[status(thm)],[])).
% 49.67/32.79 tff(22968,plain,
% 49.67/32.79 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB173) | (~nextState(constB173, constB174)) | (~v104(constB174)))),
% 49.67/32.79 inference(quant_inst,[status(thm)],[])).
% 49.67/32.79 tff(22969,plain,
% 49.67/32.79 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB173) | (~nextState(constB173, constB174)) | (~v104(constB174))),
% 49.67/32.79 inference(modus_ponens,[status(thm)],[22968, 22967])).
% 49.67/32.79 tff(22970,plain,
% 49.67/32.79 (~v104(constB174)),
% 49.67/32.79 inference(unit_resolution,[status(thm)],[22969, 271, 22958, 22834])).
% 49.67/32.79 tff(22971,plain,
% 49.67/32.79 (((~![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))),
% 49.67/32.79 inference(rewrite,[status(thm)],[])).
% 49.67/32.79 tff(22972,plain,
% 49.67/32.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB173, constB174)) | v102(constB174) | v104(constB174))),
% 49.67/32.79 inference(quant_inst,[status(thm)],[])).
% 49.67/32.79 tff(22973,plain,
% 49.67/32.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB173, constB174)) | v102(constB174) | v104(constB174)),
% 49.67/32.79 inference(modus_ponens,[status(thm)],[22972, 22971])).
% 49.67/32.79 tff(22974,plain,
% 49.67/32.79 (v102(constB174) | v104(constB174)),
% 49.67/32.79 inference(unit_resolution,[status(thm)],[22973, 285, 22958])).
% 49.67/32.79 tff(22975,plain,
% 49.67/32.79 (v102(constB174)),
% 49.67/32.79 inference(unit_resolution,[status(thm)],[22974, 22970])).
% 49.67/32.79 tff(22976,plain,
% 49.67/32.79 (v1(constB174) <=> v1(constB174)),
% 49.67/32.79 inference(rewrite,[status(thm)],[])).
% 49.67/32.79 tff(22977,axiom,(v1(constB174)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_174_1')).
% 49.67/32.79 tff(22978,plain,
% 49.67/32.79 (v1(constB174)),
% 49.67/32.79 inference(modus_ponens,[status(thm)],[22977, 22976])).
% 49.67/32.79 tff(22979,plain,
% 49.67/32.79 (((~![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)))),
% 49.67/32.79 inference(rewrite,[status(thm)],[])).
% 49.67/32.79 tff(22980,plain,
% 49.67/32.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB173, constB174)) | v101(constB174) | (~v102(constB174)) | (~v1(constB174)))),
% 49.67/32.79 inference(quant_inst,[status(thm)],[])).
% 49.67/32.79 tff(22981,plain,
% 49.67/32.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB173, constB174)) | v101(constB174) | (~v102(constB174)) | (~v1(constB174))),
% 49.67/32.79 inference(modus_ponens,[status(thm)],[22980, 22979])).
% 49.67/32.79 tff(22982,plain,
% 49.67/32.79 (v101(constB174) | (~v102(constB174))),
% 49.67/32.79 inference(unit_resolution,[status(thm)],[22981, 303, 22958, 22978])).
% 49.67/32.79 tff(22983,plain,
% 49.67/32.79 (v101(constB174)),
% 49.67/32.79 inference(unit_resolution,[status(thm)],[22982, 22975])).
% 49.67/32.79 tff(22984,plain,
% 49.67/32.79 (((~![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)))),
% 49.67/32.79 inference(rewrite,[status(thm)],[])).
% 49.67/32.79 tff(22985,plain,
% 49.67/32.79 (((~nextState(constB173, constB174)) | (~v101(constB174)) | (~v110(constB174)) | v100(constB174)) <=> ((~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174)))),
% 49.67/32.79 inference(rewrite,[status(thm)],[])).
% 49.67/32.79 tff(22986,plain,
% 49.67/32.79 (((~![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))))),
% 49.67/32.79 inference(monotonicity,[status(thm)],[22985])).
% 49.67/32.79 tff(22987,plain,
% 49.67/32.79 (((~![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)))),
% 49.67/32.80 inference(transitivity,[status(thm)],[22986, 22984])).
% 49.67/32.80 tff(22988,plain,
% 49.67/32.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB173, constB174)) | (~v101(constB174)) | (~v110(constB174)) | v100(constB174))),
% 49.67/32.80 inference(quant_inst,[status(thm)],[])).
% 49.67/32.80 tff(22989,plain,
% 49.67/32.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174))),
% 49.67/32.80 inference(modus_ponens,[status(thm)],[22988, 22987])).
% 49.67/32.80 tff(22990,plain,
% 49.67/32.80 (v100(constB174) | (~v101(constB174)) | (~v110(constB174))),
% 49.67/32.80 inference(unit_resolution,[status(thm)],[22989, 318, 22958])).
% 49.67/32.80 tff(22991,plain,
% 49.67/32.80 (v100(constB174) | (~v110(constB174))),
% 49.67/32.80 inference(unit_resolution,[status(thm)],[22990, 22983])).
% 49.67/32.80 tff(22992,plain,
% 49.67/32.80 (v100(constB174)),
% 49.67/32.80 inference(unit_resolution,[status(thm)],[22991, 22966])).
% 49.67/32.80 tff(22993,plain,
% 49.67/32.80 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB173)) | v130(constB173, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB173)) | v130(constB173, bitIndex2))),
% 49.67/32.80 inference(rewrite,[status(thm)],[])).
% 49.67/32.80 tff(22994,plain,
% 49.67/32.80 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB173)) | v130(constB173, bitIndex2))),
% 49.67/32.80 inference(quant_inst,[status(thm)],[])).
% 49.67/32.80 tff(22995,plain,
% 49.67/32.80 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB173)) | v130(constB173, bitIndex2)),
% 49.67/32.80 inference(modus_ponens,[status(thm)],[22994, 22993])).
% 49.67/32.80 tff(22996,plain,
% 49.67/32.80 (v130(constB173, bitIndex2)),
% 49.67/32.80 inference(unit_resolution,[status(thm)],[22995, 836, 22930])).
% 49.67/32.80 tff(22997,plain,
% 49.67/32.80 (((~![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))) | v26(constB173) | (~v130(constB173, bitIndex2)) | v127(constB173, bitIndex2))),
% 49.67/32.80 inference(rewrite,[status(thm)],[])).
% 49.67/32.80 tff(22998,plain,
% 49.67/32.80 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB173) | (~v130(constB173, bitIndex2)) | v127(constB173, bitIndex2))),
% 49.67/32.80 inference(quant_inst,[status(thm)],[])).
% 49.67/32.80 tff(22999,plain,
% 49.67/32.80 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB173) | (~v130(constB173, bitIndex2)) | v127(constB173, bitIndex2)),
% 49.67/32.80 inference(modus_ponens,[status(thm)],[22998, 22997])).
% 49.67/32.80 tff(23000,plain,
% 49.67/32.80 ((~v130(constB173, bitIndex2)) | v127(constB173, bitIndex2)),
% 49.67/32.80 inference(unit_resolution,[status(thm)],[22999, 351, 22946])).
% 49.67/32.80 tff(23001,plain,
% 49.67/32.80 (v127(constB173, bitIndex2)),
% 49.67/32.80 inference(unit_resolution,[status(thm)],[23000, 22996])).
% 49.67/32.80 tff(23002,plain,
% 49.67/32.80 (((~![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))),
% 49.67/32.80 inference(rewrite,[status(thm)],[])).
% 49.67/32.80 tff(23003,plain,
% 49.67/32.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB173, constB174)) | (~v127(constB173, bitIndex2)) | v129(constB174, bitIndex2))),
% 49.67/32.80 inference(quant_inst,[status(thm)],[])).
% 49.67/32.80 tff(23004,plain,
% 49.67/32.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB173, constB174)) | (~v127(constB173, bitIndex2)) | v129(constB174, bitIndex2)),
% 49.67/32.80 inference(modus_ponens,[status(thm)],[23003, 23002])).
% 49.67/32.80 tff(23005,plain,
% 49.67/32.80 ((~v127(constB173, bitIndex2)) | v129(constB174, bitIndex2)),
% 49.67/32.80 inference(unit_resolution,[status(thm)],[23004, 366, 22958])).
% 49.67/32.80 tff(23006,plain,
% 49.67/32.80 (v129(constB174, bitIndex2)),
% 49.67/32.80 inference(unit_resolution,[status(thm)],[23005, 23001])).
% 49.67/32.80 tff(23007,plain,
% 49.67/32.80 (((~![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)))),
% 49.67/32.80 inference(rewrite,[status(thm)],[])).
% 49.67/32.80 tff(23008,plain,
% 49.67/32.80 ((v90(constB174, bitIndex2) | (~v100(constB174)) | (~v129(constB174, bitIndex2))) <=> (v90(constB174, bitIndex2) | (~v129(constB174, bitIndex2)) | (~v100(constB174)))),
% 49.67/32.80 inference(rewrite,[status(thm)],[])).
% 49.67/32.80 tff(23009,plain,
% 49.67/32.80 (((~![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))))),
% 49.67/32.80 inference(monotonicity,[status(thm)],[23008])).
% 49.67/32.80 tff(23010,plain,
% 49.67/32.80 (((~![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)))),
% 49.67/32.80 inference(transitivity,[status(thm)],[23009, 23007])).
% 49.67/32.80 tff(23011,plain,
% 49.67/32.80 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB174, bitIndex2) | (~v100(constB174)) | (~v129(constB174, bitIndex2)))),
% 49.67/32.80 inference(quant_inst,[status(thm)],[])).
% 49.67/32.80 tff(23012,plain,
% 49.67/32.80 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB174, bitIndex2) | (~v129(constB174, bitIndex2)) | (~v100(constB174))),
% 49.67/32.80 inference(modus_ponens,[status(thm)],[23011, 23010])).
% 49.67/32.80 tff(23013,plain,
% 49.67/32.80 (v90(constB174, bitIndex2) | (~v100(constB174))),
% 49.67/32.80 inference(unit_resolution,[status(thm)],[23012, 381, 23006])).
% 49.67/32.80 tff(23014,plain,
% 49.67/32.80 (v90(constB174, bitIndex2)),
% 49.67/32.80 inference(unit_resolution,[status(thm)],[23013, 22992])).
% 49.67/32.80 tff(23015,plain,
% 49.67/32.80 ((~v1(constB175)) <=> (~v1(constB175))),
% 49.67/32.80 inference(rewrite,[status(thm)],[])).
% 49.67/32.80 tff(23016,axiom,(~v1(constB175)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_175_1_1')).
% 49.67/32.80 tff(23017,plain,
% 49.67/32.80 (~v1(constB175)),
% 49.67/32.80 inference(modus_ponens,[status(thm)],[23016, 23015])).
% 49.67/32.80 tff(23018,plain,
% 49.67/32.80 (nextState(constB174, constB175) <=> nextState(constB174, constB175)),
% 49.67/32.80 inference(rewrite,[status(thm)],[])).
% 49.67/32.80 tff(23019,axiom,(nextState(constB174, constB175)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_174_1')).
% 49.67/32.80 tff(23020,plain,
% 49.67/32.80 (nextState(constB174, constB175)),
% 49.67/32.80 inference(modus_ponens,[status(thm)],[23019, 23018])).
% 49.67/32.80 tff(23021,plain,
% 49.67/32.80 (((~![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)))),
% 49.67/32.80 inference(rewrite,[status(thm)],[])).
% 49.67/32.80 tff(23022,plain,
% 49.67/32.80 (((~nextState(constB174, constB175)) | (~v101(constB175)) | v1(constB175)) <=> (v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175)))),
% 49.67/32.80 inference(rewrite,[status(thm)],[])).
% 49.67/32.80 tff(23023,plain,
% 49.67/32.80 (((~![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))))),
% 49.67/32.80 inference(monotonicity,[status(thm)],[23022])).
% 49.67/32.80 tff(23024,plain,
% 49.67/32.80 (((~![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)))),
% 49.67/32.80 inference(transitivity,[status(thm)],[23023, 23021])).
% 49.67/32.80 tff(23025,plain,
% 49.67/32.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB174, constB175)) | (~v101(constB175)) | v1(constB175))),
% 49.67/32.80 inference(quant_inst,[status(thm)],[])).
% 49.67/32.80 tff(23026,plain,
% 49.67/32.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175))),
% 49.67/32.80 inference(modus_ponens,[status(thm)],[23025, 23024])).
% 49.67/32.80 tff(23027,plain,
% 49.67/32.80 (~v101(constB175)),
% 49.67/32.80 inference(unit_resolution,[status(thm)],[23026, 49, 23020, 23017])).
% 49.67/32.80 tff(23028,plain,
% 49.67/32.80 (((~![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)))),
% 49.67/32.80 inference(rewrite,[status(thm)],[])).
% 49.67/32.80 tff(23029,plain,
% 49.67/32.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB174, constB175)) | v101(constB175) | (~v100(constB175)))),
% 49.67/32.80 inference(quant_inst,[status(thm)],[])).
% 49.67/32.80 tff(23030,plain,
% 49.67/32.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB174, constB175)) | v101(constB175) | (~v100(constB175))),
% 49.67/32.80 inference(modus_ponens,[status(thm)],[23029, 23028])).
% 49.67/32.80 tff(23031,plain,
% 49.67/32.80 (v101(constB175) | (~v100(constB175))),
% 49.67/32.80 inference(unit_resolution,[status(thm)],[23030, 66, 23020])).
% 49.67/32.80 tff(23032,plain,
% 49.67/32.80 (~v100(constB175)),
% 49.67/32.80 inference(unit_resolution,[status(thm)],[23031, 23027])).
% 49.67/32.80 tff(23033,plain,
% 49.67/32.80 (((~![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))),
% 49.67/32.80 inference(rewrite,[status(thm)],[])).
% 49.67/32.80 tff(23034,plain,
% 49.67/32.80 (((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex2)) | v100(constB175) | v90(constB175, bitIndex2)) <=> ((~v90(constB174, bitIndex2)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex2))),
% 49.67/32.80 inference(rewrite,[status(thm)],[])).
% 49.67/32.80 tff(23035,plain,
% 49.67/32.80 (((~![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)))),
% 49.67/32.80 inference(monotonicity,[status(thm)],[23034])).
% 49.67/32.80 tff(23036,plain,
% 49.67/32.80 (((~![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))),
% 49.67/32.80 inference(transitivity,[status(thm)],[23035, 23033])).
% 49.67/32.80 tff(23037,plain,
% 49.67/32.80 ((~![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))),
% 49.67/32.80 inference(quant_inst,[status(thm)],[])).
% 49.67/32.80 tff(23038,plain,
% 49.67/32.80 ((~![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)),
% 49.67/32.80 inference(modus_ponens,[status(thm)],[23037, 23036])).
% 49.67/32.80 tff(23039,plain,
% 49.67/32.80 ((~v90(constB174, bitIndex2)) | v100(constB175) | v90(constB175, bitIndex2)),
% 49.67/32.80 inference(unit_resolution,[status(thm)],[23038, 417, 23020])).
% 49.67/32.80 tff(23040,plain,
% 49.67/32.80 ((~v90(constB174, bitIndex2)) | v90(constB175, bitIndex2)),
% 49.67/32.80 inference(unit_resolution,[status(thm)],[23039, 23032])).
% 49.67/32.80 tff(23041,plain,
% 49.67/32.80 (v90(constB175, bitIndex2)),
% 49.67/32.80 inference(unit_resolution,[status(thm)],[23040, 23014])).
% 49.67/32.80 tff(23042,plain,
% 49.67/32.80 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB173)) | v130(constB173, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB173)) | v130(constB173, bitIndex1))),
% 49.67/32.80 inference(rewrite,[status(thm)],[])).
% 49.67/32.80 tff(23043,plain,
% 49.67/32.80 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB173)) | v130(constB173, bitIndex1))),
% 49.67/32.80 inference(quant_inst,[status(thm)],[])).
% 49.67/32.80 tff(23044,plain,
% 49.67/32.80 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB173)) | v130(constB173, bitIndex1)),
% 49.67/32.80 inference(modus_ponens,[status(thm)],[23043, 23042])).
% 49.67/32.80 tff(23045,plain,
% 49.67/32.80 (v130(constB173, bitIndex1)),
% 49.67/32.80 inference(unit_resolution,[status(thm)],[23044, 667, 22930])).
% 49.67/32.80 tff(23046,plain,
% 49.67/32.80 (((~![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))),
% 49.67/32.80 inference(rewrite,[status(thm)],[])).
% 49.67/32.80 tff(23047,plain,
% 49.67/32.80 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB173) | (~v130(constB173, bitIndex1)) | v127(constB173, bitIndex1))),
% 49.67/32.80 inference(quant_inst,[status(thm)],[])).
% 49.67/32.80 tff(23048,plain,
% 49.67/32.80 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB173) | (~v130(constB173, bitIndex1)) | v127(constB173, bitIndex1)),
% 49.67/32.80 inference(modus_ponens,[status(thm)],[23047, 23046])).
% 49.67/32.80 tff(23049,plain,
% 49.67/32.80 ((~v130(constB173, bitIndex1)) | v127(constB173, bitIndex1)),
% 49.67/32.80 inference(unit_resolution,[status(thm)],[23048, 681, 22946])).
% 49.67/32.80 tff(23050,plain,
% 49.67/32.80 (v127(constB173, bitIndex1)),
% 49.67/32.80 inference(unit_resolution,[status(thm)],[23049, 23045])).
% 49.67/32.80 tff(23051,plain,
% 49.67/32.80 (((~![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))),
% 49.67/32.80 inference(rewrite,[status(thm)],[])).
% 49.67/32.80 tff(23052,plain,
% 49.67/32.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB173, constB174)) | (~v127(constB173, bitIndex1)) | v129(constB174, bitIndex1))),
% 49.67/32.80 inference(quant_inst,[status(thm)],[])).
% 49.67/32.80 tff(23053,plain,
% 49.67/32.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB173, constB174)) | (~v127(constB173, bitIndex1)) | v129(constB174, bitIndex1)),
% 49.67/32.80 inference(modus_ponens,[status(thm)],[23052, 23051])).
% 49.67/32.80 tff(23054,plain,
% 49.67/32.80 ((~v127(constB173, bitIndex1)) | v129(constB174, bitIndex1)),
% 49.67/32.80 inference(unit_resolution,[status(thm)],[23053, 696, 22958])).
% 49.67/32.80 tff(23055,plain,
% 49.67/32.80 (v129(constB174, bitIndex1)),
% 49.67/32.80 inference(unit_resolution,[status(thm)],[23054, 23050])).
% 49.67/32.80 tff(23056,plain,
% 49.67/32.80 (((~![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)))),
% 49.67/32.80 inference(rewrite,[status(thm)],[])).
% 49.67/32.80 tff(23057,plain,
% 49.67/32.80 ((v90(constB174, bitIndex1) | (~v100(constB174)) | (~v129(constB174, bitIndex1))) <=> (v90(constB174, bitIndex1) | (~v129(constB174, bitIndex1)) | (~v100(constB174)))),
% 49.67/32.80 inference(rewrite,[status(thm)],[])).
% 49.67/32.80 tff(23058,plain,
% 49.67/32.80 (((~![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))))),
% 49.67/32.80 inference(monotonicity,[status(thm)],[23057])).
% 49.67/32.80 tff(23059,plain,
% 49.67/32.80 (((~![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)))),
% 49.67/32.80 inference(transitivity,[status(thm)],[23058, 23056])).
% 49.67/32.80 tff(23060,plain,
% 49.67/32.80 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB174, bitIndex1) | (~v100(constB174)) | (~v129(constB174, bitIndex1)))),
% 49.67/32.80 inference(quant_inst,[status(thm)],[])).
% 49.67/32.80 tff(23061,plain,
% 49.67/32.80 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB174, bitIndex1) | (~v129(constB174, bitIndex1)) | (~v100(constB174))),
% 49.67/32.80 inference(modus_ponens,[status(thm)],[23060, 23059])).
% 49.67/32.80 tff(23062,plain,
% 49.67/32.80 (v90(constB174, bitIndex1) | (~v100(constB174))),
% 49.67/32.80 inference(unit_resolution,[status(thm)],[23061, 711, 23055])).
% 49.67/32.80 tff(23063,plain,
% 49.67/32.80 (v90(constB174, bitIndex1)),
% 49.67/32.80 inference(unit_resolution,[status(thm)],[23062, 22992])).
% 49.67/32.80 tff(23064,plain,
% 49.67/32.80 (((~![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))),
% 49.67/32.80 inference(rewrite,[status(thm)],[])).
% 49.67/32.80 tff(23065,plain,
% 49.67/32.80 (((~nextState(constB174, constB175)) | (~v90(constB174, bitIndex1)) | v100(constB175) | v90(constB175, bitIndex1)) <=> ((~v90(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, bitIndex1))),
% 49.67/32.80 inference(rewrite,[status(thm)],[])).
% 49.67/32.80 tff(23066,plain,
% 49.67/32.80 (((~![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)))),
% 49.67/32.80 inference(monotonicity,[status(thm)],[23065])).
% 49.67/32.80 tff(23067,plain,
% 49.67/32.80 (((~![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))),
% 49.67/32.80 inference(transitivity,[status(thm)],[23066, 23064])).
% 49.67/32.80 tff(23068,plain,
% 49.67/32.80 ((~![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))),
% 49.67/32.80 inference(quant_inst,[status(thm)],[])).
% 49.67/32.80 tff(23069,plain,
% 49.67/32.80 ((~![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)),
% 49.67/32.80 inference(modus_ponens,[status(thm)],[23068, 23067])).
% 49.67/32.80 tff(23070,plain,
% 49.67/32.80 ((~v90(constB174, bitIndex1)) | v100(constB175) | v90(constB175, bitIndex1)),
% 49.67/32.80 inference(unit_resolution,[status(thm)],[23069, 747, 23020])).
% 49.67/32.80 tff(23071,plain,
% 49.67/32.80 ((~v90(constB174, bitIndex1)) | v90(constB175, bitIndex1)),
% 49.67/32.80 inference(unit_resolution,[status(thm)],[23070, 23032])).
% 49.67/32.80 tff(23072,plain,
% 49.67/32.80 (v90(constB175, bitIndex1)),
% 49.67/32.80 inference(unit_resolution,[status(thm)],[23071, 23063])).
% 49.67/32.80 tff(23073,plain,
% 49.67/32.80 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB173)) | (~v130(constB173, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB173)) | (~v130(constB173, bitIndex0)))),
% 49.67/32.80 inference(rewrite,[status(thm)],[])).
% 49.67/32.80 tff(23074,plain,
% 49.67/32.80 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB173)) | (~v130(constB173, bitIndex0)))),
% 49.67/32.80 inference(quant_inst,[status(thm)],[])).
% 49.67/32.80 tff(23075,plain,
% 49.67/32.80 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB173)) | (~v130(constB173, bitIndex0))),
% 49.67/32.80 inference(modus_ponens,[status(thm)],[23074, 23073])).
% 49.67/32.80 tff(23076,plain,
% 49.67/32.80 (~v130(constB173, bitIndex0)),
% 49.67/32.80 inference(unit_resolution,[status(thm)],[23075, 975, 22930])).
% 49.67/32.80 tff(23077,plain,
% 49.67/32.80 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB173, bitIndex0)) | v26(constB173) | v130(constB173, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB173, bitIndex0)) | v26(constB173) | v130(constB173, bitIndex0))),
% 49.67/32.80 inference(rewrite,[status(thm)],[])).
% 49.67/32.80 tff(23078,plain,
% 49.67/32.80 ((v26(constB173) | v130(constB173, bitIndex0) | (~v127(constB173, bitIndex0))) <=> ((~v127(constB173, bitIndex0)) | v26(constB173) | v130(constB173, bitIndex0))),
% 49.67/32.80 inference(rewrite,[status(thm)],[])).
% 49.67/32.80 tff(23079,plain,
% 49.67/32.80 (((~![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)))) | ((~v127(constB173, bitIndex0)) | v26(constB173) | v130(constB173, bitIndex0)))),
% 49.67/32.80 inference(monotonicity,[status(thm)],[23078])).
% 49.67/32.80 tff(23080,plain,
% 49.67/32.80 (((~![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)))) | (~v127(constB173, bitIndex0)) | v26(constB173) | v130(constB173, bitIndex0))),
% 49.67/32.80 inference(transitivity,[status(thm)],[23079, 23077])).
% 49.67/32.80 tff(23081,plain,
% 49.67/32.80 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB173) | v130(constB173, bitIndex0) | (~v127(constB173, bitIndex0)))),
% 49.67/32.80 inference(quant_inst,[status(thm)],[])).
% 49.67/32.80 tff(23082,plain,
% 49.67/32.80 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB173, bitIndex0)) | v26(constB173) | v130(constB173, bitIndex0)),
% 49.67/32.80 inference(modus_ponens,[status(thm)],[23081, 23080])).
% 49.67/32.80 tff(23083,plain,
% 49.67/32.80 ((~v127(constB173, bitIndex0)) | v130(constB173, bitIndex0)),
% 49.67/32.80 inference(unit_resolution,[status(thm)],[23082, 524, 22946])).
% 49.67/32.80 tff(23084,plain,
% 49.67/32.80 (~v127(constB173, bitIndex0)),
% 49.67/32.80 inference(unit_resolution,[status(thm)],[23083, 23076])).
% 49.67/32.80 tff(23085,plain,
% 49.67/32.80 (((~![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)))),
% 49.67/32.80 inference(rewrite,[status(thm)],[])).
% 49.67/32.80 tff(23086,plain,
% 49.67/32.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB173, constB174)) | v127(constB173, bitIndex0) | (~v129(constB174, bitIndex0)))),
% 49.67/32.80 inference(quant_inst,[status(thm)],[])).
% 49.67/32.80 tff(23087,plain,
% 49.67/32.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB173, constB174)) | v127(constB173, bitIndex0) | (~v129(constB174, bitIndex0))),
% 49.67/32.80 inference(modus_ponens,[status(thm)],[23086, 23085])).
% 49.67/32.80 tff(23088,plain,
% 49.67/32.80 (v127(constB173, bitIndex0) | (~v129(constB174, bitIndex0))),
% 49.67/32.80 inference(unit_resolution,[status(thm)],[23087, 542, 22958])).
% 49.67/32.80 tff(23089,plain,
% 49.67/32.80 (~v129(constB174, bitIndex0)),
% 49.67/32.80 inference(unit_resolution,[status(thm)],[23088, 23084])).
% 49.67/32.80 tff(23090,plain,
% 49.67/32.80 (((~![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)))),
% 49.67/32.80 inference(rewrite,[status(thm)],[])).
% 49.67/32.80 tff(23091,plain,
% 49.67/32.80 (((~v90(constB174, bitIndex0)) | (~v100(constB174)) | v129(constB174, bitIndex0)) <=> ((~v90(constB174, bitIndex0)) | v129(constB174, bitIndex0) | (~v100(constB174)))),
% 49.67/32.80 inference(rewrite,[status(thm)],[])).
% 49.67/32.80 tff(23092,plain,
% 49.67/32.80 (((~![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))))),
% 49.67/32.80 inference(monotonicity,[status(thm)],[23091])).
% 49.67/32.80 tff(23093,plain,
% 49.67/32.80 (((~![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)))),
% 49.67/32.80 inference(transitivity,[status(thm)],[23092, 23090])).
% 49.76/32.80 tff(23094,plain,
% 49.76/32.80 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB174, bitIndex0)) | (~v100(constB174)) | v129(constB174, bitIndex0))),
% 49.76/32.80 inference(quant_inst,[status(thm)],[])).
% 49.76/32.80 tff(23095,plain,
% 49.76/32.80 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB174, bitIndex0)) | v129(constB174, bitIndex0) | (~v100(constB174))),
% 49.76/32.80 inference(modus_ponens,[status(thm)],[23094, 23093])).
% 49.76/32.80 tff(23096,plain,
% 49.76/32.80 ((~v90(constB174, bitIndex0)) | (~v100(constB174))),
% 49.76/32.80 inference(unit_resolution,[status(thm)],[23095, 557, 23089])).
% 49.76/32.80 tff(23097,plain,
% 49.76/32.80 (~v90(constB174, bitIndex0)),
% 49.76/32.80 inference(unit_resolution,[status(thm)],[23096, 22992])).
% 49.76/32.80 tff(23098,plain,
% 49.76/32.80 (((~![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)))),
% 49.76/32.80 inference(rewrite,[status(thm)],[])).
% 49.76/32.80 tff(23099,plain,
% 49.76/32.80 (((~nextState(constB174, constB175)) | v90(constB174, bitIndex0) | v100(constB175) | (~v90(constB175, bitIndex0))) <=> (v90(constB174, bitIndex0) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, bitIndex0)))),
% 49.76/32.80 inference(rewrite,[status(thm)],[])).
% 49.76/32.80 tff(23100,plain,
% 49.76/32.80 (((~![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))))),
% 49.76/32.80 inference(monotonicity,[status(thm)],[23099])).
% 49.76/32.80 tff(23101,plain,
% 49.76/32.80 (((~![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)))),
% 49.76/32.80 inference(transitivity,[status(thm)],[23100, 23098])).
% 49.76/32.80 tff(23102,plain,
% 49.76/32.80 ((~![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)))),
% 49.76/32.80 inference(quant_inst,[status(thm)],[])).
% 49.76/32.80 tff(23103,plain,
% 49.76/32.80 ((~![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))),
% 49.76/32.80 inference(modus_ponens,[status(thm)],[23102, 23101])).
% 49.76/32.80 tff(23104,plain,
% 49.76/32.80 (v90(constB174, bitIndex0) | v100(constB175) | (~v90(constB175, bitIndex0))),
% 49.76/32.80 inference(unit_resolution,[status(thm)],[23103, 123, 23020])).
% 49.76/32.80 tff(23105,plain,
% 49.76/32.80 (v90(constB174, bitIndex0) | (~v90(constB175, bitIndex0))),
% 49.76/32.80 inference(unit_resolution,[status(thm)],[23104, 23032])).
% 49.76/32.80 tff(23106,plain,
% 49.76/32.80 (~v90(constB175, bitIndex0)),
% 49.76/32.80 inference(unit_resolution,[status(thm)],[23105, 23097])).
% 49.76/32.80 tff(23107,plain,
% 49.76/32.80 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB175, bitIndex0) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex2)) | v125(constB175))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB175, bitIndex0) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex2)) | v125(constB175))),
% 49.76/32.81 inference(rewrite,[status(thm)],[])).
% 49.76/32.81 tff(23108,plain,
% 49.76/32.81 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB175, bitIndex0) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex2)) | v125(constB175))),
% 49.76/32.81 inference(quant_inst,[status(thm)],[])).
% 49.76/32.81 tff(23109,plain,
% 49.76/32.81 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB175, bitIndex0) | (~v90(constB175, bitIndex1)) | (~v90(constB175, bitIndex2)) | v125(constB175)),
% 49.76/32.81 inference(modus_ponens,[status(thm)],[23108, 23107])).
% 49.76/32.81 tff(23110,plain,
% 49.76/32.81 (v125(constB175)),
% 49.76/32.81 inference(unit_resolution,[status(thm)],[23109, 1019, 23106, 23072, 23041])).
% 49.76/32.81 tff(23111,plain,
% 49.76/32.81 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB175) | (~v125(constB175)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB175) | (~v125(constB175)))),
% 49.76/32.81 inference(rewrite,[status(thm)],[])).
% 49.76/32.81 tff(23112,plain,
% 49.76/32.81 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB175) | (~v125(constB175)))),
% 49.76/32.81 inference(quant_inst,[status(thm)],[])).
% 49.76/32.81 tff(23113,plain,
% 49.76/32.81 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB175) | (~v125(constB175))),
% 49.76/32.81 inference(modus_ponens,[status(thm)],[23112, 23111])).
% 49.76/32.81 tff(23114,plain,
% 49.76/32.81 (v113(constB175)),
% 49.76/32.81 inference(unit_resolution,[status(thm)],[23113, 1031, 23110])).
% 49.76/32.81 tff(23115,assumption,(v26(constB175)), introduced(assumption)).
% 49.76/32.81 tff(23116,plain,
% 49.76/32.81 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB175))),
% 49.76/32.81 inference(quant_inst,[status(thm)],[])).
% 49.76/32.81 tff(23117,plain,
% 49.76/32.81 ($false),
% 49.76/32.81 inference(unit_resolution,[status(thm)],[23116, 16, 23115])).
% 49.76/32.81 tff(23118,plain,(~v26(constB175)), inference(lemma,lemma(discharge,[]))).
% 49.76/32.81 tff(23119,plain,
% 49.76/32.81 (((~![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)))),
% 49.76/32.81 inference(rewrite,[status(thm)],[])).
% 49.76/32.81 tff(23120,plain,
% 49.76/32.81 ((v26(constB175) | (~v113(constB175)) | v112(constB175)) <=> (v26(constB175) | v112(constB175) | (~v113(constB175)))),
% 49.76/32.81 inference(rewrite,[status(thm)],[])).
% 49.76/32.81 tff(23121,plain,
% 49.76/32.81 (((~![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))))),
% 49.76/32.81 inference(monotonicity,[status(thm)],[23120])).
% 49.76/32.81 tff(23122,plain,
% 49.76/32.81 (((~![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)))),
% 49.76/32.81 inference(transitivity,[status(thm)],[23121, 23119])).
% 49.76/32.81 tff(23123,plain,
% 49.76/32.81 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB175) | (~v113(constB175)) | v112(constB175))),
% 49.76/32.81 inference(quant_inst,[status(thm)],[])).
% 49.76/32.81 tff(23124,plain,
% 49.76/32.81 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB175) | v112(constB175) | (~v113(constB175))),
% 49.76/32.81 inference(modus_ponens,[status(thm)],[23123, 23122])).
% 49.76/32.81 tff(23125,plain,
% 49.76/32.81 (v112(constB175) | (~v113(constB175))),
% 49.76/32.81 inference(unit_resolution,[status(thm)],[23124, 224, 23118])).
% 49.76/32.81 tff(23126,plain,
% 49.76/32.81 (v112(constB175)),
% 49.76/32.81 inference(unit_resolution,[status(thm)],[23125, 23114])).
% 49.76/32.81 tff(23127,plain,
% 49.76/32.81 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB175) | (~v112(constB175)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB175) | (~v112(constB175)))),
% 49.76/32.81 inference(rewrite,[status(thm)],[])).
% 49.76/32.81 tff(23128,plain,
% 49.76/32.81 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB175) | (~v112(constB175)))),
% 49.76/32.81 inference(quant_inst,[status(thm)],[])).
% 49.76/32.81 tff(23129,plain,
% 49.76/32.81 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB175) | (~v112(constB175))),
% 49.76/32.81 inference(modus_ponens,[status(thm)],[23128, 23127])).
% 49.76/32.81 tff(23130,plain,
% 49.76/32.81 (v108(constB175)),
% 49.76/32.81 inference(unit_resolution,[status(thm)],[23129, 236, 23126])).
% 49.76/32.81 tff(23131,plain,
% 49.76/32.81 (nextState(constB175, constB176) <=> nextState(constB175, constB176)),
% 49.76/32.81 inference(rewrite,[status(thm)],[])).
% 49.76/32.81 tff(23132,axiom,(nextState(constB175, constB176)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_175_1')).
% 49.76/32.81 tff(23133,plain,
% 49.76/32.81 (nextState(constB175, constB176)),
% 49.76/32.81 inference(modus_ponens,[status(thm)],[23132, 23131])).
% 49.76/32.81 tff(23134,plain,
% 49.76/32.81 (((~![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)))),
% 49.76/32.81 inference(rewrite,[status(thm)],[])).
% 49.76/32.81 tff(23135,plain,
% 49.76/32.81 (((~nextState(constB175, constB176)) | (~v108(constB175)) | v110(constB176)) <=> ((~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175)))),
% 49.76/32.81 inference(rewrite,[status(thm)],[])).
% 49.76/32.81 tff(23136,plain,
% 49.76/32.81 (((~![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))))),
% 49.76/32.81 inference(monotonicity,[status(thm)],[23135])).
% 49.76/32.81 tff(23137,plain,
% 49.76/32.81 (((~![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)))),
% 49.76/32.81 inference(transitivity,[status(thm)],[23136, 23134])).
% 49.76/32.81 tff(23138,plain,
% 49.76/32.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB175, constB176)) | (~v108(constB175)) | v110(constB176))),
% 49.76/32.81 inference(quant_inst,[status(thm)],[])).
% 49.76/32.81 tff(23139,plain,
% 49.76/32.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175))),
% 49.76/32.81 inference(modus_ponens,[status(thm)],[23138, 23137])).
% 49.76/32.81 tff(23140,plain,
% 49.76/32.81 (v110(constB176) | (~v108(constB175))),
% 49.76/32.81 inference(unit_resolution,[status(thm)],[23139, 253, 23133])).
% 49.76/32.81 tff(23141,plain,
% 49.76/32.81 (v110(constB176)),
% 49.76/32.81 inference(unit_resolution,[status(thm)],[23140, 23130])).
% 49.76/32.81 tff(23142,plain,
% 49.76/32.81 (((~![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)))),
% 49.76/32.81 inference(rewrite,[status(thm)],[])).
% 49.76/32.81 tff(23143,plain,
% 49.76/32.81 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB175) | (~nextState(constB175, constB176)) | (~v104(constB176)))),
% 49.76/32.81 inference(quant_inst,[status(thm)],[])).
% 49.76/32.81 tff(23144,plain,
% 49.76/32.81 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB175) | (~nextState(constB175, constB176)) | (~v104(constB176))),
% 49.76/32.81 inference(modus_ponens,[status(thm)],[23143, 23142])).
% 49.76/32.81 tff(23145,plain,
% 49.76/32.81 (~v104(constB176)),
% 49.76/32.81 inference(unit_resolution,[status(thm)],[23144, 271, 23133, 23017])).
% 49.76/32.81 tff(23146,plain,
% 49.76/32.81 (((~![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))),
% 49.76/32.81 inference(rewrite,[status(thm)],[])).
% 49.76/32.81 tff(23147,plain,
% 49.76/32.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB175, constB176)) | v102(constB176) | v104(constB176))),
% 49.76/32.81 inference(quant_inst,[status(thm)],[])).
% 49.76/32.81 tff(23148,plain,
% 49.76/32.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB175, constB176)) | v102(constB176) | v104(constB176)),
% 49.76/32.81 inference(modus_ponens,[status(thm)],[23147, 23146])).
% 49.76/32.81 tff(23149,plain,
% 49.76/32.81 (v102(constB176) | v104(constB176)),
% 49.76/32.81 inference(unit_resolution,[status(thm)],[23148, 285, 23133])).
% 49.76/32.81 tff(23150,plain,
% 49.76/32.81 (v102(constB176)),
% 49.76/32.81 inference(unit_resolution,[status(thm)],[23149, 23145])).
% 49.76/32.81 tff(23151,plain,
% 49.76/32.81 (v1(constB176) <=> v1(constB176)),
% 49.76/32.81 inference(rewrite,[status(thm)],[])).
% 49.76/32.81 tff(23152,axiom,(v1(constB176)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_176_1')).
% 49.76/32.81 tff(23153,plain,
% 49.76/32.81 (v1(constB176)),
% 49.76/32.81 inference(modus_ponens,[status(thm)],[23152, 23151])).
% 49.76/32.81 tff(23154,plain,
% 49.76/32.81 (((~![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)))),
% 49.76/32.81 inference(rewrite,[status(thm)],[])).
% 49.76/32.81 tff(23155,plain,
% 49.76/32.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB175, constB176)) | v101(constB176) | (~v102(constB176)) | (~v1(constB176)))),
% 49.76/32.81 inference(quant_inst,[status(thm)],[])).
% 49.76/32.81 tff(23156,plain,
% 49.76/32.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB175, constB176)) | v101(constB176) | (~v102(constB176)) | (~v1(constB176))),
% 49.76/32.81 inference(modus_ponens,[status(thm)],[23155, 23154])).
% 49.76/32.81 tff(23157,plain,
% 49.76/32.81 (v101(constB176) | (~v102(constB176))),
% 49.76/32.81 inference(unit_resolution,[status(thm)],[23156, 303, 23133, 23153])).
% 49.76/32.81 tff(23158,plain,
% 49.76/32.81 (v101(constB176)),
% 49.76/32.81 inference(unit_resolution,[status(thm)],[23157, 23150])).
% 49.76/32.81 tff(23159,plain,
% 49.76/32.81 (((~![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)))),
% 49.76/32.81 inference(rewrite,[status(thm)],[])).
% 49.76/32.81 tff(23160,plain,
% 49.76/32.81 (((~nextState(constB175, constB176)) | (~v101(constB176)) | (~v110(constB176)) | v100(constB176)) <=> ((~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176)))),
% 49.76/32.81 inference(rewrite,[status(thm)],[])).
% 49.76/32.81 tff(23161,plain,
% 49.76/32.81 (((~![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))))),
% 49.76/32.81 inference(monotonicity,[status(thm)],[23160])).
% 49.76/32.81 tff(23162,plain,
% 49.76/32.81 (((~![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)))),
% 49.76/32.81 inference(transitivity,[status(thm)],[23161, 23159])).
% 49.76/32.81 tff(23163,plain,
% 49.76/32.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB175, constB176)) | (~v101(constB176)) | (~v110(constB176)) | v100(constB176))),
% 49.76/32.81 inference(quant_inst,[status(thm)],[])).
% 49.76/32.81 tff(23164,plain,
% 49.76/32.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176))),
% 49.76/32.81 inference(modus_ponens,[status(thm)],[23163, 23162])).
% 49.76/32.81 tff(23165,plain,
% 49.76/32.81 (v100(constB176) | (~v101(constB176)) | (~v110(constB176))),
% 49.76/32.81 inference(unit_resolution,[status(thm)],[23164, 318, 23133])).
% 49.76/32.81 tff(23166,plain,
% 49.76/32.81 (v100(constB176) | (~v110(constB176))),
% 49.76/32.81 inference(unit_resolution,[status(thm)],[23165, 23158])).
% 49.76/32.81 tff(23167,plain,
% 49.76/32.81 (v100(constB176)),
% 49.76/32.81 inference(unit_resolution,[status(thm)],[23166, 23141])).
% 49.76/32.81 tff(23168,plain,
% 49.76/32.81 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB175, bitIndex2)) | (~v121(constB175)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB175, bitIndex2)) | (~v121(constB175)))),
% 49.76/32.81 inference(rewrite,[status(thm)],[])).
% 49.76/32.81 tff(23169,plain,
% 49.76/32.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB175, bitIndex2)) | (~v121(constB175)))),
% 49.76/32.81 inference(quant_inst,[status(thm)],[])).
% 49.76/32.81 tff(23170,plain,
% 49.76/32.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB175, bitIndex2)) | (~v121(constB175))),
% 49.76/32.81 inference(modus_ponens,[status(thm)],[23169, 23168])).
% 49.76/32.81 tff(23171,plain,
% 49.76/32.81 (~v121(constB175)),
% 49.76/32.81 inference(unit_resolution,[status(thm)],[23170, 883, 23041])).
% 49.76/32.81 tff(23172,plain,
% 49.76/32.81 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB175, bitIndex2)) | (~v122(constB175)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB175, bitIndex2)) | (~v122(constB175)))),
% 49.76/32.81 inference(rewrite,[status(thm)],[])).
% 49.76/32.81 tff(23173,plain,
% 49.76/32.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB175, bitIndex2)) | (~v122(constB175)))),
% 49.76/32.81 inference(quant_inst,[status(thm)],[])).
% 49.76/32.81 tff(23174,plain,
% 49.76/32.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB175, bitIndex2)) | (~v122(constB175))),
% 49.76/32.81 inference(modus_ponens,[status(thm)],[23173, 23172])).
% 49.76/32.81 tff(23175,plain,
% 49.76/32.81 (~v122(constB175)),
% 49.76/32.81 inference(unit_resolution,[status(thm)],[23174, 894, 23041])).
% 49.76/32.81 tff(23176,plain,
% 49.76/32.81 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB175)) | (~v90(constB175, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB175)) | (~v90(constB175, bitIndex1)))),
% 49.76/32.81 inference(rewrite,[status(thm)],[])).
% 49.76/32.81 tff(23177,plain,
% 49.76/32.81 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB175)) | (~v90(constB175, bitIndex1)))),
% 49.76/32.81 inference(quant_inst,[status(thm)],[])).
% 49.76/32.81 tff(23178,plain,
% 49.76/32.81 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB175)) | (~v90(constB175, bitIndex1))),
% 49.76/32.81 inference(modus_ponens,[status(thm)],[23177, 23176])).
% 49.76/32.81 tff(23179,plain,
% 49.76/32.81 (~v119(constB175)),
% 49.76/32.81 inference(unit_resolution,[status(thm)],[23178, 2293, 23072])).
% 49.76/32.81 tff(23180,plain,
% 49.76/32.81 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB175, bitIndex1)) | (~v123(constB175)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB175, bitIndex1)) | (~v123(constB175)))),
% 49.76/32.81 inference(rewrite,[status(thm)],[])).
% 49.76/32.81 tff(23181,plain,
% 49.76/32.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB175, bitIndex1)) | (~v123(constB175)))),
% 49.76/32.81 inference(quant_inst,[status(thm)],[])).
% 49.76/32.81 tff(23182,plain,
% 49.76/32.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB175, bitIndex1)) | (~v123(constB175))),
% 49.76/32.81 inference(modus_ponens,[status(thm)],[23181, 23180])).
% 49.76/32.81 tff(23183,plain,
% 49.76/32.81 (~v123(constB175)),
% 49.76/32.81 inference(unit_resolution,[status(thm)],[23182, 774, 23072])).
% 49.76/32.81 tff(23184,plain,
% 49.76/32.81 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB175, bitIndex1)) | (~v124(constB175)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB175, bitIndex1)) | (~v124(constB175)))),
% 49.76/32.81 inference(rewrite,[status(thm)],[])).
% 49.76/32.81 tff(23185,plain,
% 49.76/32.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB175, bitIndex1)) | (~v124(constB175)))),
% 49.76/32.81 inference(quant_inst,[status(thm)],[])).
% 49.76/32.81 tff(23186,plain,
% 49.76/32.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB175, bitIndex1)) | (~v124(constB175))),
% 49.76/32.81 inference(modus_ponens,[status(thm)],[23185, 23184])).
% 49.76/32.81 tff(23187,plain,
% 49.76/32.81 (~v124(constB175)),
% 49.76/32.81 inference(unit_resolution,[status(thm)],[23186, 763, 23072])).
% 49.76/32.81 tff(23188,plain,
% 49.76/32.81 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB175, bitIndex1)) | (~v120(constB175)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB175, bitIndex1)) | (~v120(constB175)))),
% 49.76/32.81 inference(rewrite,[status(thm)],[])).
% 49.76/32.81 tff(23189,plain,
% 49.76/32.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB175, bitIndex1)) | (~v120(constB175)))),
% 49.76/32.81 inference(quant_inst,[status(thm)],[])).
% 49.76/32.81 tff(23190,plain,
% 49.76/32.81 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB175, bitIndex1)) | (~v120(constB175))),
% 49.76/32.81 inference(modus_ponens,[status(thm)],[23189, 23188])).
% 49.76/32.81 tff(23191,plain,
% 49.76/32.81 (~v120(constB175)),
% 49.76/32.81 inference(unit_resolution,[status(thm)],[23190, 2312, 23072])).
% 49.76/32.81 tff(23192,plain,
% 49.76/32.81 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB175, bitIndex2)) | v120(constB175) | v119(constB175) | v124(constB175) | v123(constB175) | v121(constB175) | v122(constB175))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB175, bitIndex2)) | v120(constB175) | v119(constB175) | v124(constB175) | v123(constB175) | v121(constB175) | v122(constB175))),
% 49.76/32.81 inference(rewrite,[status(thm)],[])).
% 49.76/32.81 tff(23193,plain,
% 49.76/32.81 ((v120(constB175) | v119(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | (~v130(constB175, bitIndex2))) <=> ((~v130(constB175, bitIndex2)) | v120(constB175) | v119(constB175) | v124(constB175) | v123(constB175) | v121(constB175) | v122(constB175))),
% 49.76/32.81 inference(rewrite,[status(thm)],[])).
% 49.76/32.81 tff(23194,plain,
% 49.76/32.81 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB175) | v119(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | (~v130(constB175, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB175, bitIndex2)) | v120(constB175) | v119(constB175) | v124(constB175) | v123(constB175) | v121(constB175) | v122(constB175)))),
% 49.76/32.81 inference(monotonicity,[status(thm)],[23193])).
% 49.76/32.81 tff(23195,plain,
% 49.76/32.81 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB175) | v119(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | (~v130(constB175, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB175, bitIndex2)) | v120(constB175) | v119(constB175) | v124(constB175) | v123(constB175) | v121(constB175) | v122(constB175))),
% 49.76/32.81 inference(transitivity,[status(thm)],[23194, 23192])).
% 49.76/32.81 tff(23196,plain,
% 49.76/32.81 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB175) | v119(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | (~v130(constB175, bitIndex2)))),
% 49.76/32.81 inference(quant_inst,[status(thm)],[])).
% 49.76/32.81 tff(23197,plain,
% 49.76/32.81 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB175, bitIndex2)) | v120(constB175) | v119(constB175) | v124(constB175) | v123(constB175) | v121(constB175) | v122(constB175)),
% 49.76/32.81 inference(modus_ponens,[status(thm)],[23196, 23195])).
% 49.76/32.81 tff(23198,plain,
% 49.76/32.81 (~v130(constB175, bitIndex2)),
% 49.76/32.81 inference(unit_resolution,[status(thm)],[23197, 1192, 23191, 23187, 23183, 23179, 23175, 23171])).
% 49.76/32.81 tff(23199,plain,
% 49.76/32.81 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB175, bitIndex2)) | v26(constB175) | v130(constB175, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB175, bitIndex2)) | v26(constB175) | v130(constB175, bitIndex2))),
% 49.76/32.81 inference(rewrite,[status(thm)],[])).
% 49.76/32.81 tff(23200,plain,
% 49.76/32.81 ((v26(constB175) | v130(constB175, bitIndex2) | (~v127(constB175, bitIndex2))) <=> ((~v127(constB175, bitIndex2)) | v26(constB175) | v130(constB175, bitIndex2))),
% 49.76/32.81 inference(rewrite,[status(thm)],[])).
% 49.76/32.81 tff(23201,plain,
% 49.76/32.81 (((~![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)))) | ((~v127(constB175, bitIndex2)) | v26(constB175) | v130(constB175, bitIndex2)))),
% 49.76/32.81 inference(monotonicity,[status(thm)],[23200])).
% 49.76/32.81 tff(23202,plain,
% 49.76/32.81 (((~![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)))) | (~v127(constB175, bitIndex2)) | v26(constB175) | v130(constB175, bitIndex2))),
% 49.76/32.81 inference(transitivity,[status(thm)],[23201, 23199])).
% 49.76/32.81 tff(23203,plain,
% 49.76/32.81 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB175) | v130(constB175, bitIndex2) | (~v127(constB175, bitIndex2)))),
% 49.76/32.81 inference(quant_inst,[status(thm)],[])).
% 49.76/32.81 tff(23204,plain,
% 49.76/32.81 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB175, bitIndex2)) | v26(constB175) | v130(constB175, bitIndex2)),
% 49.76/32.81 inference(modus_ponens,[status(thm)],[23203, 23202])).
% 49.76/32.81 tff(23205,plain,
% 49.76/32.81 ((~v127(constB175, bitIndex2)) | v130(constB175, bitIndex2)),
% 49.76/32.81 inference(unit_resolution,[status(thm)],[23204, 1210, 23118])).
% 49.76/32.81 tff(23206,plain,
% 49.76/32.81 (~v127(constB175, bitIndex2)),
% 49.76/32.81 inference(unit_resolution,[status(thm)],[23205, 23198])).
% 49.76/32.81 tff(23207,plain,
% 49.76/32.81 (((~![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)))),
% 49.76/32.81 inference(rewrite,[status(thm)],[])).
% 49.76/32.81 tff(23208,plain,
% 49.76/32.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB175, constB176)) | v127(constB175, bitIndex2) | (~v129(constB176, bitIndex2)))),
% 49.76/32.81 inference(quant_inst,[status(thm)],[])).
% 49.76/32.81 tff(23209,plain,
% 49.76/32.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB175, constB176)) | v127(constB175, bitIndex2) | (~v129(constB176, bitIndex2))),
% 49.76/32.81 inference(modus_ponens,[status(thm)],[23208, 23207])).
% 49.76/32.81 tff(23210,plain,
% 49.76/32.81 (v127(constB175, bitIndex2) | (~v129(constB176, bitIndex2))),
% 49.76/32.81 inference(unit_resolution,[status(thm)],[23209, 1243, 23133])).
% 49.76/32.81 tff(23211,plain,
% 49.76/32.81 (~v129(constB176, bitIndex2)),
% 49.76/32.81 inference(unit_resolution,[status(thm)],[23210, 23206])).
% 49.76/32.81 tff(23212,plain,
% 49.76/32.81 (((~![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)))),
% 49.76/32.81 inference(rewrite,[status(thm)],[])).
% 49.76/32.81 tff(23213,plain,
% 49.76/32.81 (((~v90(constB176, bitIndex2)) | (~v100(constB176)) | v129(constB176, bitIndex2)) <=> ((~v90(constB176, bitIndex2)) | v129(constB176, bitIndex2) | (~v100(constB176)))),
% 49.76/32.81 inference(rewrite,[status(thm)],[])).
% 49.76/32.81 tff(23214,plain,
% 49.76/32.81 (((~![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))))),
% 49.76/32.81 inference(monotonicity,[status(thm)],[23213])).
% 49.76/32.81 tff(23215,plain,
% 49.76/32.81 (((~![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)))),
% 49.76/32.81 inference(transitivity,[status(thm)],[23214, 23212])).
% 49.76/32.81 tff(23216,plain,
% 49.76/32.81 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB176, bitIndex2)) | (~v100(constB176)) | v129(constB176, bitIndex2))),
% 49.76/32.81 inference(quant_inst,[status(thm)],[])).
% 49.76/32.81 tff(23217,plain,
% 49.76/32.81 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB176, bitIndex2)) | v129(constB176, bitIndex2) | (~v100(constB176))),
% 49.76/32.81 inference(modus_ponens,[status(thm)],[23216, 23215])).
% 49.76/32.81 tff(23218,plain,
% 49.76/32.81 ((~v90(constB176, bitIndex2)) | (~v100(constB176))),
% 49.76/32.81 inference(unit_resolution,[status(thm)],[23217, 1258, 23211])).
% 49.76/32.81 tff(23219,plain,
% 49.76/32.81 (~v90(constB176, bitIndex2)),
% 49.76/32.81 inference(unit_resolution,[status(thm)],[23218, 23167])).
% 49.76/32.81 tff(23220,plain,
% 49.76/32.81 ((~v1(constB177)) <=> (~v1(constB177))),
% 49.76/32.81 inference(rewrite,[status(thm)],[])).
% 49.76/32.81 tff(23221,axiom,(~v1(constB177)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_177_1_1')).
% 49.76/32.81 tff(23222,plain,
% 49.76/32.81 (~v1(constB177)),
% 49.76/32.81 inference(modus_ponens,[status(thm)],[23221, 23220])).
% 49.76/32.81 tff(23223,plain,
% 49.76/32.81 (nextState(constB176, constB177) <=> nextState(constB176, constB177)),
% 49.76/32.81 inference(rewrite,[status(thm)],[])).
% 49.76/32.81 tff(23224,axiom,(nextState(constB176, constB177)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_176_1')).
% 49.76/32.81 tff(23225,plain,
% 49.76/32.81 (nextState(constB176, constB177)),
% 49.76/32.81 inference(modus_ponens,[status(thm)],[23224, 23223])).
% 49.76/32.81 tff(23226,plain,
% 49.76/32.81 (((~![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)))),
% 49.76/32.81 inference(rewrite,[status(thm)],[])).
% 49.76/32.81 tff(23227,plain,
% 49.76/32.81 (((~nextState(constB176, constB177)) | (~v101(constB177)) | v1(constB177)) <=> (v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177)))),
% 49.76/32.81 inference(rewrite,[status(thm)],[])).
% 49.76/32.81 tff(23228,plain,
% 49.76/32.81 (((~![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))))),
% 49.76/32.81 inference(monotonicity,[status(thm)],[23227])).
% 49.76/32.81 tff(23229,plain,
% 49.76/32.81 (((~![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)))),
% 49.76/32.81 inference(transitivity,[status(thm)],[23228, 23226])).
% 49.76/32.81 tff(23230,plain,
% 49.76/32.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB176, constB177)) | (~v101(constB177)) | v1(constB177))),
% 49.76/32.81 inference(quant_inst,[status(thm)],[])).
% 49.76/32.81 tff(23231,plain,
% 49.76/32.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177))),
% 49.76/32.81 inference(modus_ponens,[status(thm)],[23230, 23229])).
% 49.76/32.81 tff(23232,plain,
% 49.76/32.81 (~v101(constB177)),
% 49.76/32.81 inference(unit_resolution,[status(thm)],[23231, 49, 23225, 23222])).
% 49.76/32.81 tff(23233,plain,
% 49.76/32.81 (((~![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)))),
% 49.76/32.81 inference(rewrite,[status(thm)],[])).
% 49.76/32.81 tff(23234,plain,
% 49.76/32.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB176, constB177)) | v101(constB177) | (~v100(constB177)))),
% 49.76/32.81 inference(quant_inst,[status(thm)],[])).
% 49.76/32.81 tff(23235,plain,
% 49.76/32.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB176, constB177)) | v101(constB177) | (~v100(constB177))),
% 49.76/32.81 inference(modus_ponens,[status(thm)],[23234, 23233])).
% 49.76/32.81 tff(23236,plain,
% 49.76/32.81 (v101(constB177) | (~v100(constB177))),
% 49.76/32.81 inference(unit_resolution,[status(thm)],[23235, 66, 23225])).
% 49.76/32.81 tff(23237,plain,
% 49.76/32.81 (~v100(constB177)),
% 49.76/32.81 inference(unit_resolution,[status(thm)],[23236, 23232])).
% 49.76/32.81 tff(23238,plain,
% 49.76/32.81 (((~![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)))),
% 49.76/32.81 inference(rewrite,[status(thm)],[])).
% 49.76/32.81 tff(23239,plain,
% 49.76/32.81 (((~nextState(constB176, constB177)) | v90(constB176, bitIndex2) | v100(constB177) | (~v90(constB177, bitIndex2))) <=> (v90(constB176, bitIndex2) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex2)))),
% 49.76/32.82 inference(rewrite,[status(thm)],[])).
% 49.76/32.82 tff(23240,plain,
% 49.76/32.82 (((~![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))))),
% 49.76/32.82 inference(monotonicity,[status(thm)],[23239])).
% 49.76/32.82 tff(23241,plain,
% 49.76/32.82 (((~![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)))),
% 49.76/32.82 inference(transitivity,[status(thm)],[23240, 23238])).
% 49.76/32.82 tff(23242,plain,
% 49.76/32.82 ((~![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)))),
% 49.76/32.82 inference(quant_inst,[status(thm)],[])).
% 49.76/32.82 tff(23243,plain,
% 49.76/32.82 ((~![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))),
% 49.76/32.82 inference(modus_ponens,[status(thm)],[23242, 23241])).
% 49.76/32.82 tff(23244,plain,
% 49.76/32.82 (v90(constB176, bitIndex2) | v100(constB177) | (~v90(constB177, bitIndex2))),
% 49.76/32.82 inference(unit_resolution,[status(thm)],[23243, 81, 23225])).
% 49.76/32.82 tff(23245,plain,
% 49.76/32.82 (v90(constB176, bitIndex2) | (~v90(constB177, bitIndex2))),
% 49.76/32.82 inference(unit_resolution,[status(thm)],[23244, 23237])).
% 49.76/32.82 tff(23246,plain,
% 49.76/32.82 (~v90(constB177, bitIndex2)),
% 49.76/32.82 inference(unit_resolution,[status(thm)],[23245, 23219])).
% 49.76/32.82 tff(23247,plain,
% 49.76/32.82 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB175, bitIndex1)) | v120(constB175) | v119(constB175) | v124(constB175) | v123(constB175) | v121(constB175) | v122(constB175))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB175, bitIndex1)) | v120(constB175) | v119(constB175) | v124(constB175) | v123(constB175) | v121(constB175) | v122(constB175))),
% 49.76/32.82 inference(rewrite,[status(thm)],[])).
% 49.76/32.82 tff(23248,plain,
% 49.76/32.82 ((v120(constB175) | v119(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | (~v130(constB175, bitIndex1))) <=> ((~v130(constB175, bitIndex1)) | v120(constB175) | v119(constB175) | v124(constB175) | v123(constB175) | v121(constB175) | v122(constB175))),
% 49.76/32.82 inference(rewrite,[status(thm)],[])).
% 49.76/32.82 tff(23249,plain,
% 49.76/32.82 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB175) | v119(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | (~v130(constB175, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB175, bitIndex1)) | v120(constB175) | v119(constB175) | v124(constB175) | v123(constB175) | v121(constB175) | v122(constB175)))),
% 49.76/32.82 inference(monotonicity,[status(thm)],[23248])).
% 49.76/32.82 tff(23250,plain,
% 49.76/32.82 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB175) | v119(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | (~v130(constB175, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB175, bitIndex1)) | v120(constB175) | v119(constB175) | v124(constB175) | v123(constB175) | v121(constB175) | v122(constB175))),
% 49.76/32.82 inference(transitivity,[status(thm)],[23249, 23247])).
% 49.76/32.82 tff(23251,plain,
% 49.76/32.82 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB175) | v119(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | (~v130(constB175, bitIndex1)))),
% 49.76/32.82 inference(quant_inst,[status(thm)],[])).
% 49.76/32.82 tff(23252,plain,
% 49.76/32.82 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB175, bitIndex1)) | v120(constB175) | v119(constB175) | v124(constB175) | v123(constB175) | v121(constB175) | v122(constB175)),
% 49.76/32.82 inference(modus_ponens,[status(thm)],[23251, 23250])).
% 49.76/32.82 tff(23253,plain,
% 49.76/32.82 (~v130(constB175, bitIndex1)),
% 49.76/32.82 inference(unit_resolution,[status(thm)],[23252, 1143, 23191, 23187, 23183, 23179, 23175, 23171])).
% 49.76/32.82 tff(23254,plain,
% 49.76/32.82 (((~![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))),
% 49.76/32.82 inference(rewrite,[status(thm)],[])).
% 49.76/32.82 tff(23255,plain,
% 49.76/32.82 ((v26(constB175) | v130(constB175, bitIndex1) | (~v127(constB175, bitIndex1))) <=> ((~v127(constB175, bitIndex1)) | v26(constB175) | v130(constB175, bitIndex1))),
% 49.76/32.82 inference(rewrite,[status(thm)],[])).
% 49.76/32.82 tff(23256,plain,
% 49.76/32.82 (((~![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)))),
% 49.76/32.82 inference(monotonicity,[status(thm)],[23255])).
% 49.76/32.82 tff(23257,plain,
% 49.76/32.82 (((~![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))),
% 49.76/32.82 inference(transitivity,[status(thm)],[23256, 23254])).
% 49.76/32.82 tff(23258,plain,
% 49.76/32.82 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB175) | v130(constB175, bitIndex1) | (~v127(constB175, bitIndex1)))),
% 49.76/32.82 inference(quant_inst,[status(thm)],[])).
% 49.76/32.82 tff(23259,plain,
% 49.76/32.82 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB175, bitIndex1)) | v26(constB175) | v130(constB175, bitIndex1)),
% 49.76/32.82 inference(modus_ponens,[status(thm)],[23258, 23257])).
% 49.76/32.82 tff(23260,plain,
% 49.76/32.82 ((~v127(constB175, bitIndex1)) | v130(constB175, bitIndex1)),
% 49.76/32.82 inference(unit_resolution,[status(thm)],[23259, 450, 23118])).
% 49.76/32.82 tff(23261,plain,
% 49.76/32.82 (~v127(constB175, bitIndex1)),
% 49.76/32.82 inference(unit_resolution,[status(thm)],[23260, 23253])).
% 49.76/32.82 tff(23262,plain,
% 49.76/32.82 (((~![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)))),
% 49.76/32.82 inference(rewrite,[status(thm)],[])).
% 49.76/32.82 tff(23263,plain,
% 49.76/32.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB175, constB176)) | v127(constB175, bitIndex1) | (~v129(constB176, bitIndex1)))),
% 49.76/32.82 inference(quant_inst,[status(thm)],[])).
% 49.76/32.82 tff(23264,plain,
% 49.76/32.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB175, constB176)) | v127(constB175, bitIndex1) | (~v129(constB176, bitIndex1))),
% 49.76/32.82 inference(modus_ponens,[status(thm)],[23263, 23262])).
% 49.76/32.82 tff(23265,plain,
% 49.76/32.82 (v127(constB175, bitIndex1) | (~v129(constB176, bitIndex1))),
% 49.76/32.82 inference(unit_resolution,[status(thm)],[23264, 468, 23133])).
% 49.76/32.82 tff(23266,plain,
% 49.76/32.82 (~v129(constB176, bitIndex1)),
% 49.76/32.82 inference(unit_resolution,[status(thm)],[23265, 23261])).
% 49.76/32.82 tff(23267,plain,
% 49.76/32.82 (((~![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)))),
% 49.76/32.82 inference(rewrite,[status(thm)],[])).
% 49.76/32.82 tff(23268,plain,
% 49.76/32.82 (((~v90(constB176, bitIndex1)) | (~v100(constB176)) | v129(constB176, bitIndex1)) <=> ((~v90(constB176, bitIndex1)) | v129(constB176, bitIndex1) | (~v100(constB176)))),
% 49.76/32.82 inference(rewrite,[status(thm)],[])).
% 49.76/32.82 tff(23269,plain,
% 49.76/32.82 (((~![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))))),
% 49.76/32.82 inference(monotonicity,[status(thm)],[23268])).
% 49.76/32.82 tff(23270,plain,
% 49.76/32.82 (((~![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)))),
% 49.76/32.82 inference(transitivity,[status(thm)],[23269, 23267])).
% 49.76/32.82 tff(23271,plain,
% 49.76/32.82 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB176, bitIndex1)) | (~v100(constB176)) | v129(constB176, bitIndex1))),
% 49.76/32.82 inference(quant_inst,[status(thm)],[])).
% 49.76/32.82 tff(23272,plain,
% 49.76/32.82 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB176, bitIndex1)) | v129(constB176, bitIndex1) | (~v100(constB176))),
% 49.76/32.82 inference(modus_ponens,[status(thm)],[23271, 23270])).
% 49.76/32.82 tff(23273,plain,
% 49.76/32.82 ((~v90(constB176, bitIndex1)) | (~v100(constB176))),
% 49.76/32.82 inference(unit_resolution,[status(thm)],[23272, 483, 23266])).
% 49.76/32.82 tff(23274,plain,
% 49.76/32.82 (~v90(constB176, bitIndex1)),
% 49.76/32.82 inference(unit_resolution,[status(thm)],[23273, 23167])).
% 49.76/32.82 tff(23275,plain,
% 49.76/32.82 (((~![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)))),
% 49.76/32.82 inference(rewrite,[status(thm)],[])).
% 49.76/32.82 tff(23276,plain,
% 49.76/32.82 (((~nextState(constB176, constB177)) | v90(constB176, bitIndex1) | v100(constB177) | (~v90(constB177, bitIndex1))) <=> (v90(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, bitIndex1)))),
% 49.76/32.82 inference(rewrite,[status(thm)],[])).
% 49.76/32.82 tff(23277,plain,
% 49.76/32.82 (((~![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))))),
% 49.76/32.82 inference(monotonicity,[status(thm)],[23276])).
% 49.76/32.82 tff(23278,plain,
% 49.76/32.82 (((~![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)))),
% 49.76/32.82 inference(transitivity,[status(thm)],[23277, 23275])).
% 49.76/32.82 tff(23279,plain,
% 49.76/32.82 ((~![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)))),
% 49.76/32.82 inference(quant_inst,[status(thm)],[])).
% 49.76/32.82 tff(23280,plain,
% 49.76/32.82 ((~![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))),
% 49.76/32.82 inference(modus_ponens,[status(thm)],[23279, 23278])).
% 49.76/32.82 tff(23281,plain,
% 49.76/32.82 (v90(constB176, bitIndex1) | v100(constB177) | (~v90(constB177, bitIndex1))),
% 49.76/32.82 inference(unit_resolution,[status(thm)],[23280, 102, 23225])).
% 49.76/32.82 tff(23282,plain,
% 49.76/32.82 (v90(constB176, bitIndex1) | (~v90(constB177, bitIndex1))),
% 49.76/32.82 inference(unit_resolution,[status(thm)],[23281, 23237])).
% 49.76/32.82 tff(23283,plain,
% 49.76/32.82 (~v90(constB177, bitIndex1)),
% 49.76/32.82 inference(unit_resolution,[status(thm)],[23282, 23274])).
% 49.76/32.82 tff(23284,plain,
% 49.76/32.82 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB175, bitIndex0) | v120(constB175) | v119(constB175) | v124(constB175) | v123(constB175) | v121(constB175) | v122(constB175))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB175, bitIndex0) | v120(constB175) | v119(constB175) | v124(constB175) | v123(constB175) | v121(constB175) | v122(constB175))),
% 49.76/32.82 inference(rewrite,[status(thm)],[])).
% 49.76/32.82 tff(23285,plain,
% 49.76/32.82 ((v120(constB175) | v119(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | v130(constB175, bitIndex0)) <=> (v130(constB175, bitIndex0) | v120(constB175) | v119(constB175) | v124(constB175) | v123(constB175) | v121(constB175) | v122(constB175))),
% 49.76/32.82 inference(rewrite,[status(thm)],[])).
% 49.76/32.82 tff(23286,plain,
% 49.76/32.82 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB175) | v119(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | v130(constB175, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB175, bitIndex0) | v120(constB175) | v119(constB175) | v124(constB175) | v123(constB175) | v121(constB175) | v122(constB175)))),
% 49.76/32.82 inference(monotonicity,[status(thm)],[23285])).
% 49.76/32.82 tff(23287,plain,
% 49.76/32.82 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB175) | v119(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | v130(constB175, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB175, bitIndex0) | v120(constB175) | v119(constB175) | v124(constB175) | v123(constB175) | v121(constB175) | v122(constB175))),
% 49.76/32.82 inference(transitivity,[status(thm)],[23286, 23284])).
% 49.76/32.82 tff(23288,plain,
% 49.76/32.82 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB175) | v119(constB175) | v121(constB175) | v122(constB175) | v123(constB175) | v124(constB175) | v130(constB175, bitIndex0))),
% 49.76/32.82 inference(quant_inst,[status(thm)],[])).
% 49.76/32.82 tff(23289,plain,
% 49.76/32.82 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB175, bitIndex0) | v120(constB175) | v119(constB175) | v124(constB175) | v123(constB175) | v121(constB175) | v122(constB175)),
% 49.76/32.82 inference(modus_ponens,[status(thm)],[23288, 23287])).
% 49.76/32.82 tff(23290,plain,
% 49.76/32.82 (v130(constB175, bitIndex0)),
% 49.76/32.82 inference(unit_resolution,[status(thm)],[23289, 908, 23191, 23187, 23183, 23179, 23175, 23171])).
% 49.76/32.82 tff(23291,plain,
% 49.76/32.82 (((~![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))) | v26(constB175) | (~v130(constB175, bitIndex0)) | v127(constB175, bitIndex0))),
% 49.76/32.82 inference(rewrite,[status(thm)],[])).
% 49.76/32.82 tff(23292,plain,
% 49.76/32.82 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB175) | (~v130(constB175, bitIndex0)) | v127(constB175, bitIndex0))),
% 49.76/32.82 inference(quant_inst,[status(thm)],[])).
% 49.76/32.82 tff(23293,plain,
% 49.76/32.82 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB175) | (~v130(constB175, bitIndex0)) | v127(constB175, bitIndex0)),
% 49.76/32.82 inference(modus_ponens,[status(thm)],[23292, 23291])).
% 49.76/32.82 tff(23294,plain,
% 49.76/32.82 ((~v130(constB175, bitIndex0)) | v127(constB175, bitIndex0)),
% 49.76/32.82 inference(unit_resolution,[status(thm)],[23293, 926, 23118])).
% 49.76/32.82 tff(23295,plain,
% 49.76/32.82 (v127(constB175, bitIndex0)),
% 49.76/32.82 inference(unit_resolution,[status(thm)],[23294, 23290])).
% 49.76/32.82 tff(23296,plain,
% 49.76/32.82 (((~![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))),
% 49.76/32.82 inference(rewrite,[status(thm)],[])).
% 49.76/32.82 tff(23297,plain,
% 49.76/32.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB175, constB176)) | (~v127(constB175, bitIndex0)) | v129(constB176, bitIndex0))),
% 49.76/32.82 inference(quant_inst,[status(thm)],[])).
% 49.76/32.82 tff(23298,plain,
% 49.76/32.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB175, constB176)) | (~v127(constB175, bitIndex0)) | v129(constB176, bitIndex0)),
% 49.76/32.82 inference(modus_ponens,[status(thm)],[23297, 23296])).
% 49.76/32.82 tff(23299,plain,
% 49.76/32.82 ((~v127(constB175, bitIndex0)) | v129(constB176, bitIndex0)),
% 49.76/32.82 inference(unit_resolution,[status(thm)],[23298, 944, 23133])).
% 49.76/32.82 tff(23300,plain,
% 49.76/32.82 (v129(constB176, bitIndex0)),
% 49.76/32.82 inference(unit_resolution,[status(thm)],[23299, 23295])).
% 49.76/32.82 tff(23301,plain,
% 49.76/32.82 (((~![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)))),
% 49.76/32.82 inference(rewrite,[status(thm)],[])).
% 49.76/32.82 tff(23302,plain,
% 49.76/32.82 ((v90(constB176, bitIndex0) | (~v100(constB176)) | (~v129(constB176, bitIndex0))) <=> (v90(constB176, bitIndex0) | (~v129(constB176, bitIndex0)) | (~v100(constB176)))),
% 49.76/32.82 inference(rewrite,[status(thm)],[])).
% 49.76/32.82 tff(23303,plain,
% 49.76/32.82 (((~![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))))),
% 49.76/32.82 inference(monotonicity,[status(thm)],[23302])).
% 49.76/32.82 tff(23304,plain,
% 49.76/32.82 (((~![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)))),
% 49.76/32.82 inference(transitivity,[status(thm)],[23303, 23301])).
% 49.76/32.82 tff(23305,plain,
% 49.76/32.82 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB176, bitIndex0) | (~v100(constB176)) | (~v129(constB176, bitIndex0)))),
% 49.76/32.82 inference(quant_inst,[status(thm)],[])).
% 49.76/32.82 tff(23306,plain,
% 49.76/32.82 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB176, bitIndex0) | (~v129(constB176, bitIndex0)) | (~v100(constB176))),
% 49.76/32.82 inference(modus_ponens,[status(thm)],[23305, 23304])).
% 49.76/32.82 tff(23307,plain,
% 49.76/32.82 (v90(constB176, bitIndex0) | (~v100(constB176))),
% 49.76/32.82 inference(unit_resolution,[status(thm)],[23306, 1088, 23300])).
% 49.76/32.82 tff(23308,plain,
% 49.76/32.82 (v90(constB176, bitIndex0)),
% 49.76/32.82 inference(unit_resolution,[status(thm)],[23307, 23167])).
% 49.76/32.82 tff(23309,plain,
% 49.76/32.82 (((~![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))),
% 49.76/32.82 inference(rewrite,[status(thm)],[])).
% 49.76/32.82 tff(23310,plain,
% 49.76/32.82 (((~nextState(constB176, constB177)) | (~v90(constB176, bitIndex0)) | v100(constB177) | v90(constB177, bitIndex0)) <=> ((~v90(constB176, bitIndex0)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, bitIndex0))),
% 49.76/32.82 inference(rewrite,[status(thm)],[])).
% 49.76/32.82 tff(23311,plain,
% 49.76/32.82 (((~![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)))),
% 49.76/32.82 inference(monotonicity,[status(thm)],[23310])).
% 49.76/32.82 tff(23312,plain,
% 49.76/32.82 (((~![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))),
% 49.76/32.82 inference(transitivity,[status(thm)],[23311, 23309])).
% 49.76/32.82 tff(23313,plain,
% 49.76/32.82 ((~![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))),
% 49.76/32.82 inference(quant_inst,[status(thm)],[])).
% 49.76/32.82 tff(23314,plain,
% 49.76/32.82 ((~![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)),
% 49.76/32.82 inference(modus_ponens,[status(thm)],[23313, 23312])).
% 49.76/32.82 tff(23315,plain,
% 49.76/32.82 ((~v90(constB176, bitIndex0)) | v100(constB177) | v90(constB177, bitIndex0)),
% 49.76/32.82 inference(unit_resolution,[status(thm)],[23314, 1124, 23225])).
% 49.76/32.82 tff(23316,plain,
% 49.76/32.82 ((~v90(constB176, bitIndex0)) | v90(constB177, bitIndex0)),
% 49.76/32.82 inference(unit_resolution,[status(thm)],[23315, 23237])).
% 49.76/32.82 tff(23317,plain,
% 49.76/32.82 (v90(constB177, bitIndex0)),
% 49.76/32.82 inference(unit_resolution,[status(thm)],[23316, 23308])).
% 49.76/32.82 tff(23318,plain,
% 49.76/32.82 (((~![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))),
% 49.76/32.82 inference(rewrite,[status(thm)],[])).
% 49.76/32.82 tff(23319,plain,
% 49.76/32.82 (((~v90(constB177, bitIndex0)) | v120(constB177) | v90(constB177, bitIndex1) | v90(constB177, bitIndex2)) <=> ((~v90(constB177, bitIndex0)) | v90(constB177, bitIndex1) | v90(constB177, bitIndex2) | v120(constB177))),
% 49.76/32.82 inference(rewrite,[status(thm)],[])).
% 49.76/32.82 tff(23320,plain,
% 49.76/32.82 (((~![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)))),
% 49.76/32.82 inference(monotonicity,[status(thm)],[23319])).
% 49.76/32.82 tff(23321,plain,
% 49.76/32.82 (((~![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))),
% 49.76/32.82 inference(transitivity,[status(thm)],[23320, 23318])).
% 49.76/32.82 tff(23322,plain,
% 49.76/32.82 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB177, bitIndex0)) | v120(constB177) | v90(constB177, bitIndex1) | v90(constB177, bitIndex2))),
% 49.76/32.82 inference(quant_inst,[status(thm)],[])).
% 49.76/32.82 tff(23323,plain,
% 49.76/32.82 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB177, bitIndex0)) | v90(constB177, bitIndex1) | v90(constB177, bitIndex2) | v120(constB177)),
% 49.76/32.82 inference(modus_ponens,[status(thm)],[23322, 23321])).
% 49.76/32.82 tff(23324,plain,
% 49.76/32.82 (v120(constB177)),
% 49.76/32.82 inference(unit_resolution,[status(thm)],[23323, 1285, 23317, 23283, 23246])).
% 49.76/32.82 tff(23325,plain,
% 49.76/32.82 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB177) | (~v120(constB177)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB177) | (~v120(constB177)))),
% 49.76/32.82 inference(rewrite,[status(thm)],[])).
% 49.76/32.82 tff(23326,plain,
% 49.76/32.82 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB177) | (~v120(constB177)))),
% 49.76/32.82 inference(quant_inst,[status(thm)],[])).
% 49.76/32.82 tff(23327,plain,
% 49.76/32.82 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB177) | (~v120(constB177))),
% 49.76/32.82 inference(modus_ponens,[status(thm)],[23326, 23325])).
% 49.76/32.82 tff(23328,plain,
% 49.76/32.82 (v118(constB177)),
% 49.76/32.82 inference(unit_resolution,[status(thm)],[23327, 1302, 23324])).
% 49.76/32.82 tff(23329,plain,
% 49.76/32.82 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB177) | (~v118(constB177)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB177) | (~v118(constB177)))),
% 49.76/32.82 inference(rewrite,[status(thm)],[])).
% 49.76/32.82 tff(23330,plain,
% 49.76/32.82 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB177) | (~v118(constB177)))),
% 49.76/32.82 inference(quant_inst,[status(thm)],[])).
% 49.76/32.82 tff(23331,plain,
% 49.76/32.82 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB177) | (~v118(constB177))),
% 49.76/32.82 inference(modus_ponens,[status(thm)],[23330, 23329])).
% 49.76/32.82 tff(23332,plain,
% 49.76/32.82 (v117(constB177)),
% 49.76/32.82 inference(unit_resolution,[status(thm)],[23331, 166, 23328])).
% 49.76/32.82 tff(23333,plain,
% 49.76/32.82 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB177) | (~v117(constB177)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB177) | (~v117(constB177)))),
% 49.76/32.82 inference(rewrite,[status(thm)],[])).
% 49.76/32.82 tff(23334,plain,
% 49.76/32.82 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB177) | (~v117(constB177)))),
% 49.76/32.82 inference(quant_inst,[status(thm)],[])).
% 49.76/32.82 tff(23335,plain,
% 49.76/32.82 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB177) | (~v117(constB177))),
% 49.76/32.82 inference(modus_ponens,[status(thm)],[23334, 23333])).
% 49.76/32.82 tff(23336,plain,
% 49.76/32.82 (v116(constB177)),
% 49.76/32.82 inference(unit_resolution,[status(thm)],[23335, 177, 23332])).
% 49.76/32.82 tff(23337,plain,
% 49.76/32.82 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB177) | (~v116(constB177)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB177) | (~v116(constB177)))),
% 49.76/32.82 inference(rewrite,[status(thm)],[])).
% 49.76/32.82 tff(23338,plain,
% 49.76/32.82 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB177) | (~v116(constB177)))),
% 49.76/32.82 inference(quant_inst,[status(thm)],[])).
% 49.76/32.82 tff(23339,plain,
% 49.76/32.82 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB177) | (~v116(constB177))),
% 49.76/32.82 inference(modus_ponens,[status(thm)],[23338, 23337])).
% 49.76/32.82 tff(23340,plain,
% 49.76/32.82 (v115(constB177)),
% 49.76/32.82 inference(unit_resolution,[status(thm)],[23339, 188, 23336])).
% 49.76/32.82 tff(23341,plain,
% 49.76/32.82 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB177) | (~v115(constB177)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB177) | (~v115(constB177)))),
% 49.76/32.82 inference(rewrite,[status(thm)],[])).
% 49.76/32.82 tff(23342,plain,
% 49.76/32.82 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB177) | (~v115(constB177)))),
% 49.76/32.82 inference(quant_inst,[status(thm)],[])).
% 49.76/32.82 tff(23343,plain,
% 49.76/32.82 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB177) | (~v115(constB177))),
% 49.76/32.82 inference(modus_ponens,[status(thm)],[23342, 23341])).
% 49.76/32.82 tff(23344,plain,
% 49.76/32.82 (v114(constB177)),
% 49.76/32.82 inference(unit_resolution,[status(thm)],[23343, 199, 23340])).
% 49.76/32.82 tff(23345,plain,
% 49.76/32.82 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB177) | (~v114(constB177)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB177) | (~v114(constB177)))),
% 49.76/32.82 inference(rewrite,[status(thm)],[])).
% 49.76/32.82 tff(23346,plain,
% 49.76/32.82 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB177) | (~v114(constB177)))),
% 49.76/32.82 inference(quant_inst,[status(thm)],[])).
% 49.76/32.82 tff(23347,plain,
% 49.76/32.82 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB177) | (~v114(constB177))),
% 49.76/32.82 inference(modus_ponens,[status(thm)],[23346, 23345])).
% 49.76/32.82 tff(23348,plain,
% 49.76/32.82 (v113(constB177)),
% 49.76/32.82 inference(unit_resolution,[status(thm)],[23347, 210, 23344])).
% 49.76/32.82 tff(23349,assumption,(v26(constB177)), introduced(assumption)).
% 49.76/32.83 tff(23350,plain,
% 49.76/32.83 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB177))),
% 49.76/32.83 inference(quant_inst,[status(thm)],[])).
% 49.76/32.83 tff(23351,plain,
% 49.76/32.83 ($false),
% 49.76/32.83 inference(unit_resolution,[status(thm)],[23350, 16, 23349])).
% 49.76/32.83 tff(23352,plain,(~v26(constB177)), inference(lemma,lemma(discharge,[]))).
% 49.76/32.83 tff(23353,plain,
% 49.76/32.83 (((~![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))),
% 49.76/32.83 inference(rewrite,[status(thm)],[])).
% 49.76/32.83 tff(23354,plain,
% 49.76/32.83 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB177) | (~v113(constB177)) | v112(constB177))),
% 49.76/32.83 inference(quant_inst,[status(thm)],[])).
% 49.76/32.83 tff(23355,plain,
% 49.76/32.83 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB177) | (~v113(constB177)) | v112(constB177)),
% 49.76/32.83 inference(modus_ponens,[status(thm)],[23354, 23353])).
% 49.76/32.83 tff(23356,plain,
% 49.76/32.83 ((~v113(constB177)) | v112(constB177)),
% 49.76/32.83 inference(unit_resolution,[status(thm)],[23355, 224, 23352])).
% 49.76/32.83 tff(23357,plain,
% 49.76/32.83 (v112(constB177)),
% 49.76/32.83 inference(unit_resolution,[status(thm)],[23356, 23348])).
% 49.76/32.83 tff(23358,plain,
% 49.76/32.83 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB177) | (~v112(constB177)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB177) | (~v112(constB177)))),
% 49.76/32.83 inference(rewrite,[status(thm)],[])).
% 49.76/32.83 tff(23359,plain,
% 49.76/32.83 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB177) | (~v112(constB177)))),
% 49.76/32.83 inference(quant_inst,[status(thm)],[])).
% 49.76/32.83 tff(23360,plain,
% 49.76/32.83 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB177) | (~v112(constB177))),
% 49.76/32.83 inference(modus_ponens,[status(thm)],[23359, 23358])).
% 49.76/32.83 tff(23361,plain,
% 49.76/32.83 (v108(constB177)),
% 49.76/32.83 inference(unit_resolution,[status(thm)],[23360, 236, 23357])).
% 49.76/32.83 tff(23362,plain,
% 49.76/32.83 (nextState(constB177, constB178) <=> nextState(constB177, constB178)),
% 49.76/32.83 inference(rewrite,[status(thm)],[])).
% 49.76/32.83 tff(23363,axiom,(nextState(constB177, constB178)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_177_1')).
% 49.76/32.83 tff(23364,plain,
% 49.76/32.83 (nextState(constB177, constB178)),
% 49.76/32.83 inference(modus_ponens,[status(thm)],[23363, 23362])).
% 49.76/32.83 tff(23365,plain,
% 49.76/32.83 (((~![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)))),
% 49.76/32.83 inference(rewrite,[status(thm)],[])).
% 49.76/32.83 tff(23366,plain,
% 49.76/32.83 (((~nextState(constB177, constB178)) | (~v108(constB177)) | v110(constB178)) <=> ((~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177)))),
% 49.76/32.83 inference(rewrite,[status(thm)],[])).
% 49.76/32.83 tff(23367,plain,
% 49.76/32.83 (((~![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))))),
% 49.76/32.83 inference(monotonicity,[status(thm)],[23366])).
% 49.76/32.83 tff(23368,plain,
% 49.76/32.83 (((~![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)))),
% 49.76/32.83 inference(transitivity,[status(thm)],[23367, 23365])).
% 49.76/32.83 tff(23369,plain,
% 49.76/32.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB177, constB178)) | (~v108(constB177)) | v110(constB178))),
% 49.76/32.83 inference(quant_inst,[status(thm)],[])).
% 49.76/32.83 tff(23370,plain,
% 49.76/32.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177))),
% 49.76/32.83 inference(modus_ponens,[status(thm)],[23369, 23368])).
% 49.76/32.83 tff(23371,plain,
% 49.76/32.83 (v110(constB178) | (~v108(constB177))),
% 49.76/32.83 inference(unit_resolution,[status(thm)],[23370, 253, 23364])).
% 49.76/32.83 tff(23372,plain,
% 49.76/32.83 (v110(constB178)),
% 49.76/32.83 inference(unit_resolution,[status(thm)],[23371, 23361])).
% 49.76/32.83 tff(23373,plain,
% 49.76/32.83 (((~![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)))),
% 49.76/32.83 inference(rewrite,[status(thm)],[])).
% 49.76/32.83 tff(23374,plain,
% 49.76/32.83 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB177) | (~nextState(constB177, constB178)) | (~v104(constB178)))),
% 49.76/32.83 inference(quant_inst,[status(thm)],[])).
% 49.76/32.83 tff(23375,plain,
% 49.76/32.83 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB177) | (~nextState(constB177, constB178)) | (~v104(constB178))),
% 49.76/32.83 inference(modus_ponens,[status(thm)],[23374, 23373])).
% 49.76/32.83 tff(23376,plain,
% 49.76/32.83 (~v104(constB178)),
% 49.76/32.83 inference(unit_resolution,[status(thm)],[23375, 271, 23364, 23222])).
% 49.76/32.83 tff(23377,plain,
% 49.76/32.83 (((~![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))),
% 49.76/32.83 inference(rewrite,[status(thm)],[])).
% 49.76/32.83 tff(23378,plain,
% 49.76/32.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB177, constB178)) | v102(constB178) | v104(constB178))),
% 49.76/32.83 inference(quant_inst,[status(thm)],[])).
% 49.76/32.83 tff(23379,plain,
% 49.76/32.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB177, constB178)) | v102(constB178) | v104(constB178)),
% 49.76/32.83 inference(modus_ponens,[status(thm)],[23378, 23377])).
% 49.76/32.83 tff(23380,plain,
% 49.76/32.83 (v102(constB178) | v104(constB178)),
% 49.76/32.83 inference(unit_resolution,[status(thm)],[23379, 285, 23364])).
% 49.76/32.83 tff(23381,plain,
% 49.76/32.83 (v102(constB178)),
% 49.76/32.83 inference(unit_resolution,[status(thm)],[23380, 23376])).
% 49.76/32.83 tff(23382,plain,
% 49.76/32.83 (v1(constB178) <=> v1(constB178)),
% 49.76/32.83 inference(rewrite,[status(thm)],[])).
% 49.76/32.83 tff(23383,axiom,(v1(constB178)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_178_1')).
% 49.76/32.83 tff(23384,plain,
% 49.76/32.83 (v1(constB178)),
% 49.76/32.83 inference(modus_ponens,[status(thm)],[23383, 23382])).
% 49.76/32.83 tff(23385,plain,
% 49.76/32.83 (((~![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)))),
% 49.76/32.83 inference(rewrite,[status(thm)],[])).
% 49.76/32.83 tff(23386,plain,
% 49.76/32.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB177, constB178)) | v101(constB178) | (~v102(constB178)) | (~v1(constB178)))),
% 49.76/32.83 inference(quant_inst,[status(thm)],[])).
% 49.76/32.83 tff(23387,plain,
% 49.76/32.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB177, constB178)) | v101(constB178) | (~v102(constB178)) | (~v1(constB178))),
% 49.76/32.83 inference(modus_ponens,[status(thm)],[23386, 23385])).
% 49.76/32.83 tff(23388,plain,
% 49.76/32.83 (v101(constB178) | (~v102(constB178))),
% 49.76/32.83 inference(unit_resolution,[status(thm)],[23387, 303, 23364, 23384])).
% 49.76/32.83 tff(23389,plain,
% 49.76/32.83 (v101(constB178)),
% 49.76/32.83 inference(unit_resolution,[status(thm)],[23388, 23381])).
% 49.76/32.83 tff(23390,plain,
% 49.76/32.83 (((~![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)))),
% 49.76/32.83 inference(rewrite,[status(thm)],[])).
% 49.76/32.83 tff(23391,plain,
% 49.76/32.83 (((~nextState(constB177, constB178)) | (~v101(constB178)) | (~v110(constB178)) | v100(constB178)) <=> ((~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178)))),
% 49.76/32.83 inference(rewrite,[status(thm)],[])).
% 49.76/32.83 tff(23392,plain,
% 49.76/32.83 (((~![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))))),
% 49.76/32.83 inference(monotonicity,[status(thm)],[23391])).
% 49.76/32.83 tff(23393,plain,
% 49.76/32.83 (((~![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)))),
% 49.76/32.83 inference(transitivity,[status(thm)],[23392, 23390])).
% 49.76/32.83 tff(23394,plain,
% 49.76/32.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB177, constB178)) | (~v101(constB178)) | (~v110(constB178)) | v100(constB178))),
% 49.76/32.83 inference(quant_inst,[status(thm)],[])).
% 49.76/32.83 tff(23395,plain,
% 49.76/32.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178))),
% 49.76/32.83 inference(modus_ponens,[status(thm)],[23394, 23393])).
% 49.76/32.83 tff(23396,plain,
% 49.76/32.83 (v100(constB178) | (~v101(constB178)) | (~v110(constB178))),
% 49.76/32.83 inference(unit_resolution,[status(thm)],[23395, 318, 23364])).
% 49.76/32.83 tff(23397,plain,
% 49.76/32.83 (v100(constB178) | (~v110(constB178))),
% 49.76/32.83 inference(unit_resolution,[status(thm)],[23396, 23389])).
% 49.76/32.83 tff(23398,plain,
% 49.76/32.83 (v100(constB178)),
% 49.76/32.83 inference(unit_resolution,[status(thm)],[23397, 23372])).
% 49.76/32.83 tff(23399,plain,
% 49.76/32.83 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB177)) | (~v130(constB177, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB177)) | (~v130(constB177, bitIndex2)))),
% 49.76/32.83 inference(rewrite,[status(thm)],[])).
% 49.76/32.83 tff(23400,plain,
% 49.76/32.83 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB177)) | (~v130(constB177, bitIndex2)))),
% 49.76/32.83 inference(quant_inst,[status(thm)],[])).
% 49.76/32.83 tff(23401,plain,
% 49.76/32.83 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB177)) | (~v130(constB177, bitIndex2))),
% 49.76/32.83 inference(modus_ponens,[status(thm)],[23400, 23399])).
% 49.76/32.83 tff(23402,plain,
% 49.76/32.83 (~v130(constB177, bitIndex2)),
% 49.76/32.83 inference(unit_resolution,[status(thm)],[23401, 1383, 23324])).
% 49.76/32.83 tff(23403,plain,
% 49.76/32.83 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB177, bitIndex2)) | v26(constB177) | v130(constB177, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB177, bitIndex2)) | v26(constB177) | v130(constB177, bitIndex2))),
% 49.76/32.83 inference(rewrite,[status(thm)],[])).
% 49.76/32.83 tff(23404,plain,
% 49.76/32.83 ((v26(constB177) | v130(constB177, bitIndex2) | (~v127(constB177, bitIndex2))) <=> ((~v127(constB177, bitIndex2)) | v26(constB177) | v130(constB177, bitIndex2))),
% 49.76/32.83 inference(rewrite,[status(thm)],[])).
% 49.76/32.83 tff(23405,plain,
% 49.76/32.83 (((~![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)))) | ((~v127(constB177, bitIndex2)) | v26(constB177) | v130(constB177, bitIndex2)))),
% 49.76/32.83 inference(monotonicity,[status(thm)],[23404])).
% 49.76/32.83 tff(23406,plain,
% 49.76/32.83 (((~![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)))) | (~v127(constB177, bitIndex2)) | v26(constB177) | v130(constB177, bitIndex2))),
% 49.76/32.83 inference(transitivity,[status(thm)],[23405, 23403])).
% 49.76/32.83 tff(23407,plain,
% 49.76/32.83 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB177) | v130(constB177, bitIndex2) | (~v127(constB177, bitIndex2)))),
% 49.76/32.83 inference(quant_inst,[status(thm)],[])).
% 49.76/32.83 tff(23408,plain,
% 49.76/32.83 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB177, bitIndex2)) | v26(constB177) | v130(constB177, bitIndex2)),
% 49.76/32.83 inference(modus_ponens,[status(thm)],[23407, 23406])).
% 49.76/32.83 tff(23409,plain,
% 49.76/32.83 ((~v127(constB177, bitIndex2)) | v130(constB177, bitIndex2)),
% 49.76/32.83 inference(unit_resolution,[status(thm)],[23408, 1210, 23352])).
% 49.76/32.83 tff(23410,plain,
% 49.76/32.83 (~v127(constB177, bitIndex2)),
% 49.76/32.83 inference(unit_resolution,[status(thm)],[23409, 23402])).
% 49.76/32.83 tff(23411,plain,
% 49.76/32.83 (((~![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)))),
% 49.76/32.83 inference(rewrite,[status(thm)],[])).
% 49.76/32.83 tff(23412,plain,
% 49.76/32.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB177, constB178)) | v127(constB177, bitIndex2) | (~v129(constB178, bitIndex2)))),
% 49.76/32.83 inference(quant_inst,[status(thm)],[])).
% 49.76/32.83 tff(23413,plain,
% 49.76/32.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB177, constB178)) | v127(constB177, bitIndex2) | (~v129(constB178, bitIndex2))),
% 49.76/32.83 inference(modus_ponens,[status(thm)],[23412, 23411])).
% 49.76/32.83 tff(23414,plain,
% 49.76/32.83 (v127(constB177, bitIndex2) | (~v129(constB178, bitIndex2))),
% 49.76/32.83 inference(unit_resolution,[status(thm)],[23413, 1243, 23364])).
% 49.76/32.83 tff(23415,plain,
% 49.76/32.83 (~v129(constB178, bitIndex2)),
% 49.76/32.83 inference(unit_resolution,[status(thm)],[23414, 23410])).
% 49.76/32.83 tff(23416,plain,
% 49.76/32.83 (((~![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)))),
% 49.76/32.83 inference(rewrite,[status(thm)],[])).
% 49.76/32.83 tff(23417,plain,
% 49.76/32.83 (((~v90(constB178, bitIndex2)) | (~v100(constB178)) | v129(constB178, bitIndex2)) <=> ((~v90(constB178, bitIndex2)) | v129(constB178, bitIndex2) | (~v100(constB178)))),
% 49.76/32.83 inference(rewrite,[status(thm)],[])).
% 49.76/32.83 tff(23418,plain,
% 49.76/32.83 (((~![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))))),
% 49.76/32.83 inference(monotonicity,[status(thm)],[23417])).
% 49.76/32.83 tff(23419,plain,
% 49.76/32.83 (((~![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)))),
% 49.76/32.83 inference(transitivity,[status(thm)],[23418, 23416])).
% 49.76/32.83 tff(23420,plain,
% 49.76/32.83 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB178, bitIndex2)) | (~v100(constB178)) | v129(constB178, bitIndex2))),
% 49.76/32.83 inference(quant_inst,[status(thm)],[])).
% 49.76/32.83 tff(23421,plain,
% 49.76/32.83 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB178, bitIndex2)) | v129(constB178, bitIndex2) | (~v100(constB178))),
% 49.76/32.83 inference(modus_ponens,[status(thm)],[23420, 23419])).
% 49.76/32.83 tff(23422,plain,
% 49.76/32.83 ((~v90(constB178, bitIndex2)) | (~v100(constB178))),
% 49.76/32.83 inference(unit_resolution,[status(thm)],[23421, 1258, 23415])).
% 49.76/32.83 tff(23423,plain,
% 49.76/32.83 (~v90(constB178, bitIndex2)),
% 49.76/32.83 inference(unit_resolution,[status(thm)],[23422, 23398])).
% 49.76/32.83 tff(23424,plain,
% 49.76/32.83 ((~v1(constB179)) <=> (~v1(constB179))),
% 49.76/32.83 inference(rewrite,[status(thm)],[])).
% 49.76/32.83 tff(23425,axiom,(~v1(constB179)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_179_1_1')).
% 49.76/32.83 tff(23426,plain,
% 49.76/32.83 (~v1(constB179)),
% 49.76/32.83 inference(modus_ponens,[status(thm)],[23425, 23424])).
% 49.76/32.83 tff(23427,plain,
% 49.76/32.83 (nextState(constB178, constB179) <=> nextState(constB178, constB179)),
% 49.76/32.83 inference(rewrite,[status(thm)],[])).
% 49.76/32.83 tff(23428,axiom,(nextState(constB178, constB179)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_178_1')).
% 49.76/32.83 tff(23429,plain,
% 49.76/32.83 (nextState(constB178, constB179)),
% 49.76/32.83 inference(modus_ponens,[status(thm)],[23428, 23427])).
% 49.76/32.83 tff(23430,plain,
% 49.76/32.83 (((~![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)))),
% 49.76/32.83 inference(rewrite,[status(thm)],[])).
% 49.76/32.83 tff(23431,plain,
% 49.76/32.83 (((~nextState(constB178, constB179)) | (~v101(constB179)) | v1(constB179)) <=> (v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179)))),
% 49.76/32.83 inference(rewrite,[status(thm)],[])).
% 49.76/32.83 tff(23432,plain,
% 49.76/32.83 (((~![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))))),
% 49.76/32.83 inference(monotonicity,[status(thm)],[23431])).
% 49.76/32.83 tff(23433,plain,
% 49.76/32.83 (((~![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)))),
% 49.76/32.83 inference(transitivity,[status(thm)],[23432, 23430])).
% 49.76/32.83 tff(23434,plain,
% 49.76/32.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB178, constB179)) | (~v101(constB179)) | v1(constB179))),
% 49.76/32.83 inference(quant_inst,[status(thm)],[])).
% 49.76/32.83 tff(23435,plain,
% 49.76/32.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179))),
% 49.76/32.83 inference(modus_ponens,[status(thm)],[23434, 23433])).
% 49.76/32.83 tff(23436,plain,
% 49.76/32.83 (~v101(constB179)),
% 49.76/32.83 inference(unit_resolution,[status(thm)],[23435, 49, 23429, 23426])).
% 49.76/32.83 tff(23437,plain,
% 49.76/32.83 (((~![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)))),
% 49.76/32.83 inference(rewrite,[status(thm)],[])).
% 49.76/32.83 tff(23438,plain,
% 49.76/32.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB178, constB179)) | v101(constB179) | (~v100(constB179)))),
% 49.76/32.83 inference(quant_inst,[status(thm)],[])).
% 49.76/32.83 tff(23439,plain,
% 49.76/32.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB178, constB179)) | v101(constB179) | (~v100(constB179))),
% 49.76/32.83 inference(modus_ponens,[status(thm)],[23438, 23437])).
% 49.76/32.83 tff(23440,plain,
% 49.76/32.83 (v101(constB179) | (~v100(constB179))),
% 49.76/32.83 inference(unit_resolution,[status(thm)],[23439, 66, 23429])).
% 49.76/32.83 tff(23441,plain,
% 49.76/32.83 (~v100(constB179)),
% 49.76/32.83 inference(unit_resolution,[status(thm)],[23440, 23436])).
% 49.76/32.83 tff(23442,plain,
% 49.76/32.83 (((~![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)))),
% 49.76/32.83 inference(rewrite,[status(thm)],[])).
% 49.76/32.83 tff(23443,plain,
% 49.76/32.83 (((~nextState(constB178, constB179)) | v90(constB178, bitIndex2) | v100(constB179) | (~v90(constB179, bitIndex2))) <=> (v90(constB178, bitIndex2) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex2)))),
% 49.76/32.83 inference(rewrite,[status(thm)],[])).
% 49.76/32.83 tff(23444,plain,
% 49.76/32.83 (((~![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))))),
% 49.76/32.83 inference(monotonicity,[status(thm)],[23443])).
% 49.76/32.83 tff(23445,plain,
% 49.76/32.83 (((~![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)))),
% 49.76/32.83 inference(transitivity,[status(thm)],[23444, 23442])).
% 49.76/32.83 tff(23446,plain,
% 49.76/32.83 ((~![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)))),
% 49.76/32.83 inference(quant_inst,[status(thm)],[])).
% 49.76/32.83 tff(23447,plain,
% 49.76/32.83 ((~![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))),
% 49.76/32.83 inference(modus_ponens,[status(thm)],[23446, 23445])).
% 49.76/32.83 tff(23448,plain,
% 49.76/32.83 (v90(constB178, bitIndex2) | v100(constB179) | (~v90(constB179, bitIndex2))),
% 49.76/32.83 inference(unit_resolution,[status(thm)],[23447, 81, 23429])).
% 49.76/32.83 tff(23449,plain,
% 49.76/32.83 (v90(constB178, bitIndex2) | (~v90(constB179, bitIndex2))),
% 49.76/32.83 inference(unit_resolution,[status(thm)],[23448, 23441])).
% 49.76/32.83 tff(23450,plain,
% 49.76/32.83 (~v90(constB179, bitIndex2)),
% 49.76/32.83 inference(unit_resolution,[status(thm)],[23449, 23423])).
% 49.76/32.83 tff(23451,plain,
% 49.76/32.83 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB177)) | v130(constB177, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB177)) | v130(constB177, bitIndex1))),
% 49.76/32.83 inference(rewrite,[status(thm)],[])).
% 49.76/32.83 tff(23452,plain,
% 49.76/32.83 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB177)) | v130(constB177, bitIndex1))),
% 49.76/32.83 inference(quant_inst,[status(thm)],[])).
% 49.76/32.83 tff(23453,plain,
% 49.76/32.83 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB177)) | v130(constB177, bitIndex1)),
% 49.76/32.83 inference(modus_ponens,[status(thm)],[23452, 23451])).
% 49.76/32.83 tff(23454,plain,
% 49.76/32.83 (v130(constB177, bitIndex1)),
% 49.76/32.83 inference(unit_resolution,[status(thm)],[23453, 1450, 23324])).
% 49.76/32.83 tff(23455,plain,
% 49.76/32.83 (((~![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))),
% 49.76/32.83 inference(rewrite,[status(thm)],[])).
% 49.76/32.83 tff(23456,plain,
% 49.76/32.83 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB177) | (~v130(constB177, bitIndex1)) | v127(constB177, bitIndex1))),
% 49.76/32.83 inference(quant_inst,[status(thm)],[])).
% 49.76/32.83 tff(23457,plain,
% 49.76/32.83 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB177) | (~v130(constB177, bitIndex1)) | v127(constB177, bitIndex1)),
% 49.76/32.83 inference(modus_ponens,[status(thm)],[23456, 23455])).
% 49.76/32.83 tff(23458,plain,
% 49.76/32.83 ((~v130(constB177, bitIndex1)) | v127(constB177, bitIndex1)),
% 49.76/32.83 inference(unit_resolution,[status(thm)],[23457, 681, 23352])).
% 49.76/32.83 tff(23459,plain,
% 49.76/32.83 (v127(constB177, bitIndex1)),
% 49.76/32.83 inference(unit_resolution,[status(thm)],[23458, 23454])).
% 49.76/32.83 tff(23460,plain,
% 49.76/32.83 (((~![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))),
% 49.76/32.83 inference(rewrite,[status(thm)],[])).
% 49.76/32.83 tff(23461,plain,
% 49.76/32.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB177, constB178)) | (~v127(constB177, bitIndex1)) | v129(constB178, bitIndex1))),
% 49.76/32.83 inference(quant_inst,[status(thm)],[])).
% 49.76/32.83 tff(23462,plain,
% 49.76/32.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB177, constB178)) | (~v127(constB177, bitIndex1)) | v129(constB178, bitIndex1)),
% 49.76/32.83 inference(modus_ponens,[status(thm)],[23461, 23460])).
% 49.76/32.83 tff(23463,plain,
% 49.76/32.83 ((~v127(constB177, bitIndex1)) | v129(constB178, bitIndex1)),
% 49.76/32.83 inference(unit_resolution,[status(thm)],[23462, 696, 23364])).
% 49.76/32.83 tff(23464,plain,
% 49.76/32.83 (v129(constB178, bitIndex1)),
% 49.76/32.83 inference(unit_resolution,[status(thm)],[23463, 23459])).
% 49.76/32.83 tff(23465,plain,
% 49.76/32.83 (((~![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)))),
% 49.76/32.83 inference(rewrite,[status(thm)],[])).
% 49.76/32.83 tff(23466,plain,
% 49.76/32.83 ((v90(constB178, bitIndex1) | (~v100(constB178)) | (~v129(constB178, bitIndex1))) <=> (v90(constB178, bitIndex1) | (~v129(constB178, bitIndex1)) | (~v100(constB178)))),
% 49.76/32.83 inference(rewrite,[status(thm)],[])).
% 49.76/32.83 tff(23467,plain,
% 49.76/32.83 (((~![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))))),
% 49.76/32.83 inference(monotonicity,[status(thm)],[23466])).
% 49.76/32.83 tff(23468,plain,
% 49.76/32.83 (((~![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)))),
% 49.76/32.83 inference(transitivity,[status(thm)],[23467, 23465])).
% 49.76/32.83 tff(23469,plain,
% 49.76/32.83 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB178, bitIndex1) | (~v100(constB178)) | (~v129(constB178, bitIndex1)))),
% 49.76/32.83 inference(quant_inst,[status(thm)],[])).
% 49.76/32.83 tff(23470,plain,
% 49.76/32.83 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB178, bitIndex1) | (~v129(constB178, bitIndex1)) | (~v100(constB178))),
% 49.76/32.83 inference(modus_ponens,[status(thm)],[23469, 23468])).
% 49.76/32.83 tff(23471,plain,
% 49.76/32.83 (v90(constB178, bitIndex1) | (~v100(constB178))),
% 49.76/32.83 inference(unit_resolution,[status(thm)],[23470, 711, 23464])).
% 49.76/32.83 tff(23472,plain,
% 49.76/32.83 (v90(constB178, bitIndex1)),
% 49.76/32.83 inference(unit_resolution,[status(thm)],[23471, 23398])).
% 49.76/32.83 tff(23473,plain,
% 49.76/32.83 (((~![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))),
% 49.76/32.83 inference(rewrite,[status(thm)],[])).
% 49.76/32.83 tff(23474,plain,
% 49.76/32.83 (((~nextState(constB178, constB179)) | (~v90(constB178, bitIndex1)) | v100(constB179) | v90(constB179, bitIndex1)) <=> ((~v90(constB178, bitIndex1)) | (~nextState(constB178, constB179)) | v100(constB179) | v90(constB179, bitIndex1))),
% 49.76/32.83 inference(rewrite,[status(thm)],[])).
% 49.76/32.83 tff(23475,plain,
% 49.76/32.83 (((~![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)))),
% 49.76/32.83 inference(monotonicity,[status(thm)],[23474])).
% 49.76/32.83 tff(23476,plain,
% 49.76/32.83 (((~![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))),
% 49.76/32.84 inference(transitivity,[status(thm)],[23475, 23473])).
% 49.76/32.84 tff(23477,plain,
% 49.76/32.84 ((~![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))),
% 49.76/32.84 inference(quant_inst,[status(thm)],[])).
% 49.76/32.84 tff(23478,plain,
% 49.76/32.84 ((~![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)),
% 49.76/32.84 inference(modus_ponens,[status(thm)],[23477, 23476])).
% 49.76/32.84 tff(23479,plain,
% 49.76/32.84 ((~v90(constB178, bitIndex1)) | v100(constB179) | v90(constB179, bitIndex1)),
% 49.76/32.84 inference(unit_resolution,[status(thm)],[23478, 747, 23429])).
% 49.76/32.84 tff(23480,plain,
% 49.76/32.84 ((~v90(constB178, bitIndex1)) | v90(constB179, bitIndex1)),
% 49.76/32.84 inference(unit_resolution,[status(thm)],[23479, 23441])).
% 49.76/32.84 tff(23481,plain,
% 49.76/32.84 (v90(constB179, bitIndex1)),
% 49.76/32.84 inference(unit_resolution,[status(thm)],[23480, 23472])).
% 49.76/32.84 tff(23482,plain,
% 49.76/32.84 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB177)) | (~v130(constB177, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB177)) | (~v130(constB177, bitIndex0)))),
% 49.76/32.84 inference(rewrite,[status(thm)],[])).
% 49.76/32.84 tff(23483,plain,
% 49.76/32.84 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB177)) | (~v130(constB177, bitIndex0)))),
% 49.76/32.84 inference(quant_inst,[status(thm)],[])).
% 49.76/32.84 tff(23484,plain,
% 49.76/32.84 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB177)) | (~v130(constB177, bitIndex0))),
% 49.76/32.84 inference(modus_ponens,[status(thm)],[23483, 23482])).
% 49.76/32.84 tff(23485,plain,
% 49.76/32.84 (~v130(constB177, bitIndex0)),
% 49.76/32.84 inference(unit_resolution,[status(thm)],[23484, 1492, 23324])).
% 49.76/32.84 tff(23486,assumption,(v127(constB177, bitIndex0)), introduced(assumption)).
% 49.76/32.84 tff(23487,assumption,(~v130(constB177, bitIndex0)), introduced(assumption)).
% 49.76/32.84 tff(23488,plain,
% 49.76/32.84 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB177, bitIndex0)) | v26(constB177) | v130(constB177, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB177, bitIndex0)) | v26(constB177) | v130(constB177, bitIndex0))),
% 49.76/32.84 inference(rewrite,[status(thm)],[])).
% 49.76/32.84 tff(23489,plain,
% 49.76/32.84 ((v26(constB177) | v130(constB177, bitIndex0) | (~v127(constB177, bitIndex0))) <=> ((~v127(constB177, bitIndex0)) | v26(constB177) | v130(constB177, bitIndex0))),
% 49.76/32.84 inference(rewrite,[status(thm)],[])).
% 49.76/32.84 tff(23490,plain,
% 49.76/32.84 (((~![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)))) | ((~v127(constB177, bitIndex0)) | v26(constB177) | v130(constB177, bitIndex0)))),
% 49.76/32.84 inference(monotonicity,[status(thm)],[23489])).
% 49.76/32.84 tff(23491,plain,
% 49.76/32.84 (((~![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)))) | (~v127(constB177, bitIndex0)) | v26(constB177) | v130(constB177, bitIndex0))),
% 49.76/32.84 inference(transitivity,[status(thm)],[23490, 23488])).
% 49.76/32.84 tff(23492,plain,
% 49.76/32.84 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB177) | v130(constB177, bitIndex0) | (~v127(constB177, bitIndex0)))),
% 49.76/32.84 inference(quant_inst,[status(thm)],[])).
% 49.76/32.84 tff(23493,plain,
% 49.76/32.84 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB177, bitIndex0)) | v26(constB177) | v130(constB177, bitIndex0)),
% 49.76/32.84 inference(modus_ponens,[status(thm)],[23492, 23491])).
% 49.76/32.84 tff(23494,plain,
% 49.76/32.84 ((~v127(constB177, bitIndex0)) | v26(constB177)),
% 49.76/32.84 inference(unit_resolution,[status(thm)],[23493, 524, 23487])).
% 49.76/32.84 tff(23495,plain,
% 49.76/32.84 (v26(constB177)),
% 49.76/32.84 inference(unit_resolution,[status(thm)],[23494, 23486])).
% 49.76/32.84 tff(23496,plain,
% 49.76/32.84 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB177)) | (~v127(constB177, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB177)) | (~v127(constB177, bitIndex0)))),
% 49.76/32.84 inference(rewrite,[status(thm)],[])).
% 49.76/32.84 tff(23497,plain,
% 49.76/32.84 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB177)) | (~v127(constB177, bitIndex0)))),
% 49.76/32.84 inference(quant_inst,[status(thm)],[])).
% 49.76/32.84 tff(23498,plain,
% 49.76/32.84 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB177)) | (~v127(constB177, bitIndex0))),
% 49.76/32.84 inference(modus_ponens,[status(thm)],[23497, 23496])).
% 49.76/32.84 tff(23499,plain,
% 49.76/32.84 ($false),
% 49.76/32.84 inference(unit_resolution,[status(thm)],[23498, 1514, 23486, 23495])).
% 49.76/32.84 tff(23500,plain,((~v127(constB177, bitIndex0)) | v130(constB177, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 49.76/32.84 tff(23501,plain,
% 49.76/32.84 (~v127(constB177, bitIndex0)),
% 49.76/32.84 inference(unit_resolution,[status(thm)],[23500, 23485])).
% 49.76/32.84 tff(23502,plain,
% 49.76/32.84 (((~![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)))),
% 49.76/32.84 inference(rewrite,[status(thm)],[])).
% 49.76/32.84 tff(23503,plain,
% 49.76/32.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB177, constB178)) | v127(constB177, bitIndex0) | (~v129(constB178, bitIndex0)))),
% 49.76/32.84 inference(quant_inst,[status(thm)],[])).
% 49.76/32.84 tff(23504,plain,
% 49.76/32.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB177, constB178)) | v127(constB177, bitIndex0) | (~v129(constB178, bitIndex0))),
% 49.76/32.84 inference(modus_ponens,[status(thm)],[23503, 23502])).
% 49.76/32.84 tff(23505,plain,
% 49.76/32.84 (v127(constB177, bitIndex0) | (~v129(constB178, bitIndex0))),
% 49.76/32.84 inference(unit_resolution,[status(thm)],[23504, 542, 23364])).
% 49.76/32.84 tff(23506,plain,
% 49.76/32.84 (~v129(constB178, bitIndex0)),
% 49.76/32.84 inference(unit_resolution,[status(thm)],[23505, 23501])).
% 49.76/32.84 tff(23507,plain,
% 49.76/32.84 (((~![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)))),
% 49.76/32.84 inference(rewrite,[status(thm)],[])).
% 49.76/32.84 tff(23508,plain,
% 49.76/32.84 (((~v90(constB178, bitIndex0)) | (~v100(constB178)) | v129(constB178, bitIndex0)) <=> ((~v90(constB178, bitIndex0)) | v129(constB178, bitIndex0) | (~v100(constB178)))),
% 49.76/32.84 inference(rewrite,[status(thm)],[])).
% 49.76/32.84 tff(23509,plain,
% 49.76/32.84 (((~![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))))),
% 49.76/32.84 inference(monotonicity,[status(thm)],[23508])).
% 49.76/32.84 tff(23510,plain,
% 49.76/32.84 (((~![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)))),
% 49.76/32.84 inference(transitivity,[status(thm)],[23509, 23507])).
% 49.76/32.84 tff(23511,plain,
% 49.76/32.84 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB178, bitIndex0)) | (~v100(constB178)) | v129(constB178, bitIndex0))),
% 49.76/32.84 inference(quant_inst,[status(thm)],[])).
% 49.76/32.84 tff(23512,plain,
% 49.76/32.84 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB178, bitIndex0)) | v129(constB178, bitIndex0) | (~v100(constB178))),
% 49.76/32.84 inference(modus_ponens,[status(thm)],[23511, 23510])).
% 49.76/32.84 tff(23513,plain,
% 49.76/32.84 ((~v90(constB178, bitIndex0)) | (~v100(constB178))),
% 49.76/32.84 inference(unit_resolution,[status(thm)],[23512, 557, 23506])).
% 49.76/32.84 tff(23514,plain,
% 49.76/32.84 (~v90(constB178, bitIndex0)),
% 49.76/32.84 inference(unit_resolution,[status(thm)],[23513, 23398])).
% 49.76/32.84 tff(23515,plain,
% 49.76/32.84 (((~![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)))),
% 49.76/32.84 inference(rewrite,[status(thm)],[])).
% 49.76/32.84 tff(23516,plain,
% 49.76/32.84 (((~nextState(constB178, constB179)) | v90(constB178, bitIndex0) | v100(constB179) | (~v90(constB179, bitIndex0))) <=> (v90(constB178, bitIndex0) | (~nextState(constB178, constB179)) | v100(constB179) | (~v90(constB179, bitIndex0)))),
% 49.76/32.84 inference(rewrite,[status(thm)],[])).
% 49.76/32.84 tff(23517,plain,
% 49.76/32.84 (((~![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))))),
% 49.76/32.84 inference(monotonicity,[status(thm)],[23516])).
% 49.76/32.84 tff(23518,plain,
% 49.76/32.84 (((~![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)))),
% 49.76/32.84 inference(transitivity,[status(thm)],[23517, 23515])).
% 49.76/32.84 tff(23519,plain,
% 49.76/32.84 ((~![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)))),
% 49.76/32.84 inference(quant_inst,[status(thm)],[])).
% 49.76/32.84 tff(23520,plain,
% 49.76/32.84 ((~![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))),
% 49.76/32.84 inference(modus_ponens,[status(thm)],[23519, 23518])).
% 49.76/32.84 tff(23521,plain,
% 49.76/32.84 (v90(constB178, bitIndex0) | v100(constB179) | (~v90(constB179, bitIndex0))),
% 49.76/32.84 inference(unit_resolution,[status(thm)],[23520, 123, 23429])).
% 49.76/32.84 tff(23522,plain,
% 49.76/32.84 (v90(constB178, bitIndex0) | (~v90(constB179, bitIndex0))),
% 49.76/32.84 inference(unit_resolution,[status(thm)],[23521, 23441])).
% 49.76/32.84 tff(23523,plain,
% 49.76/32.84 (~v90(constB179, bitIndex0)),
% 49.76/32.84 inference(unit_resolution,[status(thm)],[23522, 23514])).
% 49.76/32.84 tff(23524,plain,
% 49.76/32.84 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB179, bitIndex0) | (~v90(constB179, bitIndex1)) | v90(constB179, bitIndex2) | v121(constB179))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB179, bitIndex0) | (~v90(constB179, bitIndex1)) | v90(constB179, bitIndex2) | v121(constB179))),
% 49.76/32.84 inference(rewrite,[status(thm)],[])).
% 49.76/32.84 tff(23525,plain,
% 49.76/32.84 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB179, bitIndex0) | (~v90(constB179, bitIndex1)) | v90(constB179, bitIndex2) | v121(constB179))),
% 49.76/32.84 inference(quant_inst,[status(thm)],[])).
% 49.76/32.84 tff(23526,plain,
% 49.76/32.84 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB179, bitIndex0) | (~v90(constB179, bitIndex1)) | v90(constB179, bitIndex2) | v121(constB179)),
% 49.76/32.84 inference(modus_ponens,[status(thm)],[23525, 23524])).
% 49.76/32.84 tff(23527,plain,
% 49.76/32.84 (v121(constB179)),
% 49.76/32.84 inference(unit_resolution,[status(thm)],[23526, 1551, 23523, 23481, 23450])).
% 49.76/32.84 tff(23528,plain,
% 49.76/32.84 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB179) | (~v121(constB179)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB179) | (~v121(constB179)))),
% 49.76/32.84 inference(rewrite,[status(thm)],[])).
% 49.76/32.84 tff(23529,plain,
% 49.76/32.84 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB179) | (~v121(constB179)))),
% 49.76/32.84 inference(quant_inst,[status(thm)],[])).
% 49.76/32.84 tff(23530,plain,
% 49.76/32.84 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB179) | (~v121(constB179))),
% 49.76/32.84 inference(modus_ponens,[status(thm)],[23529, 23528])).
% 49.76/32.84 tff(23531,plain,
% 49.76/32.84 (v117(constB179)),
% 49.76/32.84 inference(unit_resolution,[status(thm)],[23530, 1562, 23527])).
% 49.76/32.84 tff(23532,plain,
% 49.76/32.84 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB179) | (~v117(constB179)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB179) | (~v117(constB179)))),
% 49.76/32.84 inference(rewrite,[status(thm)],[])).
% 49.76/32.84 tff(23533,plain,
% 49.76/32.84 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB179) | (~v117(constB179)))),
% 49.76/32.84 inference(quant_inst,[status(thm)],[])).
% 49.76/32.84 tff(23534,plain,
% 49.76/32.84 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB179) | (~v117(constB179))),
% 49.76/32.84 inference(modus_ponens,[status(thm)],[23533, 23532])).
% 49.76/32.84 tff(23535,plain,
% 49.76/32.84 (v116(constB179)),
% 49.76/32.84 inference(unit_resolution,[status(thm)],[23534, 177, 23531])).
% 49.76/32.84 tff(23536,plain,
% 49.76/32.84 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB179) | (~v116(constB179)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB179) | (~v116(constB179)))),
% 49.76/32.84 inference(rewrite,[status(thm)],[])).
% 49.76/32.84 tff(23537,plain,
% 49.76/32.84 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB179) | (~v116(constB179)))),
% 49.76/32.84 inference(quant_inst,[status(thm)],[])).
% 49.76/32.84 tff(23538,plain,
% 49.76/32.84 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB179) | (~v116(constB179))),
% 49.76/32.84 inference(modus_ponens,[status(thm)],[23537, 23536])).
% 49.76/32.84 tff(23539,plain,
% 49.76/32.84 (v115(constB179)),
% 49.76/32.84 inference(unit_resolution,[status(thm)],[23538, 188, 23535])).
% 49.76/32.84 tff(23540,plain,
% 49.76/32.84 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB179) | (~v115(constB179)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB179) | (~v115(constB179)))),
% 49.76/32.84 inference(rewrite,[status(thm)],[])).
% 49.76/32.84 tff(23541,plain,
% 49.76/32.84 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB179) | (~v115(constB179)))),
% 49.76/32.84 inference(quant_inst,[status(thm)],[])).
% 49.76/32.84 tff(23542,plain,
% 49.76/32.84 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB179) | (~v115(constB179))),
% 49.76/32.84 inference(modus_ponens,[status(thm)],[23541, 23540])).
% 49.76/32.84 tff(23543,plain,
% 49.76/32.84 (v114(constB179)),
% 49.76/32.84 inference(unit_resolution,[status(thm)],[23542, 199, 23539])).
% 49.76/32.84 tff(23544,plain,
% 49.76/32.84 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB179) | (~v114(constB179)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB179) | (~v114(constB179)))),
% 49.76/32.84 inference(rewrite,[status(thm)],[])).
% 49.76/32.84 tff(23545,plain,
% 49.76/32.84 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB179) | (~v114(constB179)))),
% 49.76/32.84 inference(quant_inst,[status(thm)],[])).
% 49.76/32.84 tff(23546,plain,
% 49.76/32.84 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB179) | (~v114(constB179))),
% 49.76/32.84 inference(modus_ponens,[status(thm)],[23545, 23544])).
% 49.76/32.84 tff(23547,plain,
% 49.76/32.84 (v113(constB179)),
% 49.76/32.84 inference(unit_resolution,[status(thm)],[23546, 210, 23543])).
% 49.76/32.84 tff(23548,assumption,(v26(constB179)), introduced(assumption)).
% 49.76/32.84 tff(23549,plain,
% 49.76/32.84 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB179))),
% 49.76/32.84 inference(quant_inst,[status(thm)],[])).
% 49.76/32.84 tff(23550,plain,
% 49.76/32.84 ($false),
% 49.76/32.84 inference(unit_resolution,[status(thm)],[23549, 16, 23548])).
% 49.76/32.84 tff(23551,plain,(~v26(constB179)), inference(lemma,lemma(discharge,[]))).
% 49.76/32.84 tff(23552,plain,
% 49.76/32.84 (((~![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)))),
% 49.76/32.84 inference(rewrite,[status(thm)],[])).
% 49.76/32.84 tff(23553,plain,
% 49.76/32.84 ((v26(constB179) | (~v113(constB179)) | v112(constB179)) <=> (v26(constB179) | v112(constB179) | (~v113(constB179)))),
% 49.76/32.84 inference(rewrite,[status(thm)],[])).
% 49.76/32.84 tff(23554,plain,
% 49.76/32.84 (((~![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))))),
% 49.76/32.84 inference(monotonicity,[status(thm)],[23553])).
% 49.76/32.84 tff(23555,plain,
% 49.76/32.84 (((~![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)))),
% 49.76/32.84 inference(transitivity,[status(thm)],[23554, 23552])).
% 49.76/32.84 tff(23556,plain,
% 49.76/32.84 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB179) | (~v113(constB179)) | v112(constB179))),
% 49.76/32.84 inference(quant_inst,[status(thm)],[])).
% 49.76/32.84 tff(23557,plain,
% 49.76/32.84 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB179) | v112(constB179) | (~v113(constB179))),
% 49.76/32.84 inference(modus_ponens,[status(thm)],[23556, 23555])).
% 49.76/32.84 tff(23558,plain,
% 49.76/32.84 (v112(constB179) | (~v113(constB179))),
% 49.76/32.84 inference(unit_resolution,[status(thm)],[23557, 224, 23551])).
% 49.76/32.84 tff(23559,plain,
% 49.76/32.84 (v112(constB179)),
% 49.76/32.84 inference(unit_resolution,[status(thm)],[23558, 23547])).
% 49.76/32.84 tff(23560,plain,
% 49.76/32.84 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB179) | (~v112(constB179)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB179) | (~v112(constB179)))),
% 49.76/32.84 inference(rewrite,[status(thm)],[])).
% 49.76/32.84 tff(23561,plain,
% 49.76/32.84 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB179) | (~v112(constB179)))),
% 49.76/32.84 inference(quant_inst,[status(thm)],[])).
% 49.76/32.84 tff(23562,plain,
% 49.76/32.84 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB179) | (~v112(constB179))),
% 49.76/32.84 inference(modus_ponens,[status(thm)],[23561, 23560])).
% 49.76/32.84 tff(23563,plain,
% 49.76/32.84 (v108(constB179)),
% 49.76/32.84 inference(unit_resolution,[status(thm)],[23562, 236, 23559])).
% 49.76/32.84 tff(23564,plain,
% 49.76/32.84 (nextState(constB179, constB180) <=> nextState(constB179, constB180)),
% 49.76/32.84 inference(rewrite,[status(thm)],[])).
% 49.76/32.84 tff(23565,axiom,(nextState(constB179, constB180)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_179_1')).
% 49.76/32.84 tff(23566,plain,
% 49.76/32.84 (nextState(constB179, constB180)),
% 49.76/32.84 inference(modus_ponens,[status(thm)],[23565, 23564])).
% 49.76/32.84 tff(23567,plain,
% 49.76/32.84 (((~![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)))),
% 49.76/32.84 inference(rewrite,[status(thm)],[])).
% 49.76/32.84 tff(23568,plain,
% 49.76/32.84 (((~nextState(constB179, constB180)) | (~v108(constB179)) | v110(constB180)) <=> ((~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179)))),
% 49.76/32.84 inference(rewrite,[status(thm)],[])).
% 49.76/32.84 tff(23569,plain,
% 49.76/32.84 (((~![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))))),
% 49.76/32.84 inference(monotonicity,[status(thm)],[23568])).
% 49.76/32.84 tff(23570,plain,
% 49.76/32.84 (((~![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)))),
% 49.76/32.84 inference(transitivity,[status(thm)],[23569, 23567])).
% 49.76/32.84 tff(23571,plain,
% 49.76/32.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB179, constB180)) | (~v108(constB179)) | v110(constB180))),
% 49.76/32.84 inference(quant_inst,[status(thm)],[])).
% 49.76/32.84 tff(23572,plain,
% 49.76/32.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB179, constB180)) | v110(constB180) | (~v108(constB179))),
% 49.76/32.84 inference(modus_ponens,[status(thm)],[23571, 23570])).
% 49.76/32.84 tff(23573,plain,
% 49.76/32.84 (v110(constB180) | (~v108(constB179))),
% 49.76/32.84 inference(unit_resolution,[status(thm)],[23572, 253, 23566])).
% 49.76/32.84 tff(23574,plain,
% 49.76/32.84 (v110(constB180)),
% 49.76/32.84 inference(unit_resolution,[status(thm)],[23573, 23563])).
% 49.76/32.84 tff(23575,plain,
% 49.76/32.84 (((~![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)))),
% 49.76/32.84 inference(rewrite,[status(thm)],[])).
% 49.76/32.84 tff(23576,plain,
% 49.76/32.84 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB179) | (~nextState(constB179, constB180)) | (~v104(constB180)))),
% 49.76/32.84 inference(quant_inst,[status(thm)],[])).
% 49.76/32.84 tff(23577,plain,
% 49.76/32.84 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB179) | (~nextState(constB179, constB180)) | (~v104(constB180))),
% 49.76/32.84 inference(modus_ponens,[status(thm)],[23576, 23575])).
% 49.76/32.84 tff(23578,plain,
% 49.76/32.84 (~v104(constB180)),
% 49.76/32.84 inference(unit_resolution,[status(thm)],[23577, 271, 23566, 23426])).
% 49.76/32.84 tff(23579,plain,
% 49.76/32.84 (((~![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))),
% 49.76/32.84 inference(rewrite,[status(thm)],[])).
% 49.76/32.84 tff(23580,plain,
% 49.76/32.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB179, constB180)) | v102(constB180) | v104(constB180))),
% 49.76/32.84 inference(quant_inst,[status(thm)],[])).
% 49.76/32.84 tff(23581,plain,
% 49.76/32.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB179, constB180)) | v102(constB180) | v104(constB180)),
% 49.76/32.84 inference(modus_ponens,[status(thm)],[23580, 23579])).
% 49.76/32.84 tff(23582,plain,
% 49.76/32.84 (v102(constB180) | v104(constB180)),
% 49.76/32.84 inference(unit_resolution,[status(thm)],[23581, 285, 23566])).
% 49.76/32.84 tff(23583,plain,
% 49.76/32.84 (v102(constB180)),
% 49.76/32.84 inference(unit_resolution,[status(thm)],[23582, 23578])).
% 49.76/32.84 tff(23584,plain,
% 49.76/32.84 (v1(constB180) <=> v1(constB180)),
% 49.76/32.84 inference(rewrite,[status(thm)],[])).
% 49.76/32.84 tff(23585,axiom,(v1(constB180)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_180_1')).
% 49.76/32.84 tff(23586,plain,
% 49.76/32.84 (v1(constB180)),
% 49.76/32.84 inference(modus_ponens,[status(thm)],[23585, 23584])).
% 49.76/32.84 tff(23587,plain,
% 49.76/32.84 (((~![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)))),
% 49.76/32.84 inference(rewrite,[status(thm)],[])).
% 49.76/32.84 tff(23588,plain,
% 49.76/32.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB179, constB180)) | v101(constB180) | (~v102(constB180)) | (~v1(constB180)))),
% 49.76/32.84 inference(quant_inst,[status(thm)],[])).
% 49.76/32.84 tff(23589,plain,
% 49.76/32.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB179, constB180)) | v101(constB180) | (~v102(constB180)) | (~v1(constB180))),
% 49.76/32.84 inference(modus_ponens,[status(thm)],[23588, 23587])).
% 49.76/32.84 tff(23590,plain,
% 49.76/32.84 (v101(constB180) | (~v102(constB180))),
% 49.76/32.84 inference(unit_resolution,[status(thm)],[23589, 303, 23566, 23586])).
% 49.76/32.84 tff(23591,plain,
% 49.76/32.84 (v101(constB180)),
% 49.76/32.84 inference(unit_resolution,[status(thm)],[23590, 23583])).
% 49.76/32.84 tff(23592,plain,
% 49.76/32.84 (((~![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)))),
% 49.76/32.84 inference(rewrite,[status(thm)],[])).
% 49.76/32.84 tff(23593,plain,
% 49.76/32.84 (((~nextState(constB179, constB180)) | (~v101(constB180)) | (~v110(constB180)) | v100(constB180)) <=> ((~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180)))),
% 49.76/32.84 inference(rewrite,[status(thm)],[])).
% 49.76/32.84 tff(23594,plain,
% 49.76/32.84 (((~![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))))),
% 49.76/32.84 inference(monotonicity,[status(thm)],[23593])).
% 49.76/32.84 tff(23595,plain,
% 49.76/32.84 (((~![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)))),
% 49.76/32.84 inference(transitivity,[status(thm)],[23594, 23592])).
% 49.76/32.84 tff(23596,plain,
% 49.76/32.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB179, constB180)) | (~v101(constB180)) | (~v110(constB180)) | v100(constB180))),
% 49.76/32.84 inference(quant_inst,[status(thm)],[])).
% 49.76/32.84 tff(23597,plain,
% 49.76/32.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB179, constB180)) | v100(constB180) | (~v101(constB180)) | (~v110(constB180))),
% 49.76/32.84 inference(modus_ponens,[status(thm)],[23596, 23595])).
% 49.76/32.84 tff(23598,plain,
% 49.76/32.84 (v100(constB180) | (~v101(constB180)) | (~v110(constB180))),
% 49.76/32.84 inference(unit_resolution,[status(thm)],[23597, 318, 23566])).
% 49.76/32.84 tff(23599,plain,
% 49.76/32.84 (v100(constB180) | (~v110(constB180))),
% 49.76/32.84 inference(unit_resolution,[status(thm)],[23598, 23591])).
% 49.76/32.84 tff(23600,plain,
% 49.76/32.84 (v100(constB180)),
% 49.76/32.84 inference(unit_resolution,[status(thm)],[23599, 23574])).
% 49.76/32.84 tff(23601,plain,
% 49.76/32.84 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB179)) | v130(constB179, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB179)) | v130(constB179, bitIndex0))),
% 49.76/32.84 inference(rewrite,[status(thm)],[])).
% 49.76/32.84 tff(23602,plain,
% 49.76/32.84 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB179)) | v130(constB179, bitIndex0))),
% 49.76/32.84 inference(quant_inst,[status(thm)],[])).
% 49.76/32.84 tff(23603,plain,
% 49.76/32.84 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB179)) | v130(constB179, bitIndex0)),
% 49.76/32.84 inference(modus_ponens,[status(thm)],[23602, 23601])).
% 49.76/32.84 tff(23604,plain,
% 49.76/32.84 (v130(constB179, bitIndex0)),
% 49.76/32.84 inference(unit_resolution,[status(thm)],[23603, 1748, 23527])).
% 49.76/32.84 tff(23605,plain,
% 49.76/32.84 (((~![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))) | v26(constB179) | (~v130(constB179, bitIndex0)) | v127(constB179, bitIndex0))),
% 49.76/32.84 inference(rewrite,[status(thm)],[])).
% 49.76/32.84 tff(23606,plain,
% 49.76/32.84 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB179) | (~v130(constB179, bitIndex0)) | v127(constB179, bitIndex0))),
% 49.76/32.84 inference(quant_inst,[status(thm)],[])).
% 49.76/32.84 tff(23607,plain,
% 49.76/32.84 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB179) | (~v130(constB179, bitIndex0)) | v127(constB179, bitIndex0)),
% 49.76/32.84 inference(modus_ponens,[status(thm)],[23606, 23605])).
% 49.76/32.84 tff(23608,plain,
% 49.76/32.84 ((~v130(constB179, bitIndex0)) | v127(constB179, bitIndex0)),
% 49.76/32.84 inference(unit_resolution,[status(thm)],[23607, 926, 23551])).
% 49.76/32.84 tff(23609,plain,
% 49.76/32.84 (v127(constB179, bitIndex0)),
% 49.76/32.84 inference(unit_resolution,[status(thm)],[23608, 23604])).
% 49.76/32.84 tff(23610,plain,
% 49.76/32.84 (((~![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))),
% 49.76/32.84 inference(rewrite,[status(thm)],[])).
% 49.76/32.84 tff(23611,plain,
% 49.76/32.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB179, constB180)) | (~v127(constB179, bitIndex0)) | v129(constB180, bitIndex0))),
% 49.76/32.84 inference(quant_inst,[status(thm)],[])).
% 49.76/32.84 tff(23612,plain,
% 49.76/32.84 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB179, constB180)) | (~v127(constB179, bitIndex0)) | v129(constB180, bitIndex0)),
% 49.76/32.84 inference(modus_ponens,[status(thm)],[23611, 23610])).
% 49.76/32.84 tff(23613,plain,
% 49.76/32.84 ((~v127(constB179, bitIndex0)) | v129(constB180, bitIndex0)),
% 49.76/32.84 inference(unit_resolution,[status(thm)],[23612, 944, 23566])).
% 49.76/32.84 tff(23614,plain,
% 49.76/32.84 (v129(constB180, bitIndex0)),
% 49.76/32.84 inference(unit_resolution,[status(thm)],[23613, 23609])).
% 49.76/32.84 tff(23615,plain,
% 49.76/32.84 (((~![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)))),
% 49.76/32.84 inference(rewrite,[status(thm)],[])).
% 49.76/32.84 tff(23616,plain,
% 49.76/32.84 ((v90(constB180, bitIndex0) | (~v100(constB180)) | (~v129(constB180, bitIndex0))) <=> (v90(constB180, bitIndex0) | (~v129(constB180, bitIndex0)) | (~v100(constB180)))),
% 49.76/32.84 inference(rewrite,[status(thm)],[])).
% 49.76/32.84 tff(23617,plain,
% 49.76/32.84 (((~![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))))),
% 49.76/32.84 inference(monotonicity,[status(thm)],[23616])).
% 49.76/32.84 tff(23618,plain,
% 49.76/32.84 (((~![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)))),
% 49.76/32.84 inference(transitivity,[status(thm)],[23617, 23615])).
% 49.76/32.84 tff(23619,plain,
% 49.76/32.84 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB180, bitIndex0) | (~v100(constB180)) | (~v129(constB180, bitIndex0)))),
% 49.76/32.84 inference(quant_inst,[status(thm)],[])).
% 49.76/32.84 tff(23620,plain,
% 49.76/32.84 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB180, bitIndex0) | (~v129(constB180, bitIndex0)) | (~v100(constB180))),
% 49.76/32.84 inference(modus_ponens,[status(thm)],[23619, 23618])).
% 49.76/32.84 tff(23621,plain,
% 49.76/32.84 (v90(constB180, bitIndex0) | (~v100(constB180))),
% 49.76/32.84 inference(unit_resolution,[status(thm)],[23620, 1088, 23614])).
% 49.76/32.84 tff(23622,plain,
% 49.76/32.84 (v90(constB180, bitIndex0)),
% 49.76/32.84 inference(unit_resolution,[status(thm)],[23621, 23600])).
% 49.76/32.84 tff(23623,plain,
% 49.76/32.84 ((~v1(constB181)) <=> (~v1(constB181))),
% 49.76/32.84 inference(rewrite,[status(thm)],[])).
% 49.76/32.84 tff(23624,axiom,(~v1(constB181)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_181_1_1')).
% 49.76/32.84 tff(23625,plain,
% 49.76/32.84 (~v1(constB181)),
% 49.76/32.84 inference(modus_ponens,[status(thm)],[23624, 23623])).
% 49.76/32.84 tff(23626,plain,
% 49.76/32.84 (nextState(constB180, constB181) <=> nextState(constB180, constB181)),
% 49.76/32.84 inference(rewrite,[status(thm)],[])).
% 49.76/32.84 tff(23627,axiom,(nextState(constB180, constB181)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_180_1')).
% 49.76/32.84 tff(23628,plain,
% 49.76/32.84 (nextState(constB180, constB181)),
% 49.76/32.84 inference(modus_ponens,[status(thm)],[23627, 23626])).
% 49.76/32.84 tff(23629,plain,
% 49.76/32.84 (((~![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)))),
% 49.76/32.84 inference(rewrite,[status(thm)],[])).
% 49.76/32.84 tff(23630,plain,
% 49.76/32.84 (((~nextState(constB180, constB181)) | (~v101(constB181)) | v1(constB181)) <=> (v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181)))),
% 49.76/32.84 inference(rewrite,[status(thm)],[])).
% 49.76/32.84 tff(23631,plain,
% 49.76/32.84 (((~![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))))),
% 49.76/32.84 inference(monotonicity,[status(thm)],[23630])).
% 49.76/32.84 tff(23632,plain,
% 49.76/32.84 (((~![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)))),
% 49.76/32.85 inference(transitivity,[status(thm)],[23631, 23629])).
% 49.76/32.85 tff(23633,plain,
% 49.76/32.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB180, constB181)) | (~v101(constB181)) | v1(constB181))),
% 49.76/32.85 inference(quant_inst,[status(thm)],[])).
% 49.76/32.85 tff(23634,plain,
% 49.76/32.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB181) | (~nextState(constB180, constB181)) | (~v101(constB181))),
% 49.76/32.85 inference(modus_ponens,[status(thm)],[23633, 23632])).
% 49.76/32.85 tff(23635,plain,
% 49.76/32.85 (~v101(constB181)),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23634, 49, 23628, 23625])).
% 49.76/32.85 tff(23636,plain,
% 49.76/32.85 (((~![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)))),
% 49.76/32.85 inference(rewrite,[status(thm)],[])).
% 49.76/32.85 tff(23637,plain,
% 49.76/32.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB180, constB181)) | v101(constB181) | (~v100(constB181)))),
% 49.76/32.85 inference(quant_inst,[status(thm)],[])).
% 49.76/32.85 tff(23638,plain,
% 49.76/32.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB180, constB181)) | v101(constB181) | (~v100(constB181))),
% 49.76/32.85 inference(modus_ponens,[status(thm)],[23637, 23636])).
% 49.76/32.85 tff(23639,plain,
% 49.76/32.85 (v101(constB181) | (~v100(constB181))),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23638, 66, 23628])).
% 49.76/32.85 tff(23640,plain,
% 49.76/32.85 (~v100(constB181)),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23639, 23635])).
% 49.76/32.85 tff(23641,plain,
% 49.76/32.85 (((~![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))),
% 49.76/32.85 inference(rewrite,[status(thm)],[])).
% 49.76/32.85 tff(23642,plain,
% 49.76/32.85 (((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex0)) | v100(constB181) | v90(constB181, bitIndex0)) <=> ((~v90(constB180, bitIndex0)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex0))),
% 49.76/32.85 inference(rewrite,[status(thm)],[])).
% 49.76/32.85 tff(23643,plain,
% 49.76/32.85 (((~![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)))),
% 49.76/32.85 inference(monotonicity,[status(thm)],[23642])).
% 49.76/32.85 tff(23644,plain,
% 49.76/32.85 (((~![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))),
% 49.76/32.85 inference(transitivity,[status(thm)],[23643, 23641])).
% 49.76/32.85 tff(23645,plain,
% 49.76/32.85 ((~![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))),
% 49.76/32.85 inference(quant_inst,[status(thm)],[])).
% 49.76/32.85 tff(23646,plain,
% 49.76/32.85 ((~![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)),
% 49.76/32.85 inference(modus_ponens,[status(thm)],[23645, 23644])).
% 49.76/32.85 tff(23647,plain,
% 49.76/32.85 ((~v90(constB180, bitIndex0)) | v100(constB181) | v90(constB181, bitIndex0)),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23646, 1124, 23628])).
% 49.76/32.85 tff(23648,plain,
% 49.76/32.85 ((~v90(constB180, bitIndex0)) | v90(constB181, bitIndex0)),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23647, 23640])).
% 49.76/32.85 tff(23649,plain,
% 49.76/32.85 (v90(constB181, bitIndex0)),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23648, 23622])).
% 49.76/32.85 tff(23650,plain,
% 49.76/32.85 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB179)) | (~v130(constB179, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB179)) | (~v130(constB179, bitIndex2)))),
% 49.76/32.85 inference(rewrite,[status(thm)],[])).
% 49.76/32.85 tff(23651,plain,
% 49.76/32.85 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB179)) | (~v130(constB179, bitIndex2)))),
% 49.76/32.85 inference(quant_inst,[status(thm)],[])).
% 49.76/32.85 tff(23652,plain,
% 49.76/32.85 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB179)) | (~v130(constB179, bitIndex2))),
% 49.76/32.85 inference(modus_ponens,[status(thm)],[23651, 23650])).
% 49.76/32.85 tff(23653,plain,
% 49.76/32.85 (~v130(constB179, bitIndex2)),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23652, 1645, 23527])).
% 49.76/32.85 tff(23654,plain,
% 49.76/32.85 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB179, bitIndex2)) | v26(constB179) | v130(constB179, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB179, bitIndex2)) | v26(constB179) | v130(constB179, bitIndex2))),
% 49.76/32.85 inference(rewrite,[status(thm)],[])).
% 49.76/32.85 tff(23655,plain,
% 49.76/32.85 ((v26(constB179) | v130(constB179, bitIndex2) | (~v127(constB179, bitIndex2))) <=> ((~v127(constB179, bitIndex2)) | v26(constB179) | v130(constB179, bitIndex2))),
% 49.76/32.85 inference(rewrite,[status(thm)],[])).
% 49.76/32.85 tff(23656,plain,
% 49.76/32.85 (((~![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)))) | ((~v127(constB179, bitIndex2)) | v26(constB179) | v130(constB179, bitIndex2)))),
% 49.76/32.85 inference(monotonicity,[status(thm)],[23655])).
% 49.76/32.85 tff(23657,plain,
% 49.76/32.85 (((~![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)))) | (~v127(constB179, bitIndex2)) | v26(constB179) | v130(constB179, bitIndex2))),
% 49.76/32.85 inference(transitivity,[status(thm)],[23656, 23654])).
% 49.76/32.85 tff(23658,plain,
% 49.76/32.85 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB179) | v130(constB179, bitIndex2) | (~v127(constB179, bitIndex2)))),
% 49.76/32.85 inference(quant_inst,[status(thm)],[])).
% 49.76/32.85 tff(23659,plain,
% 49.76/32.85 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB179, bitIndex2)) | v26(constB179) | v130(constB179, bitIndex2)),
% 49.76/32.85 inference(modus_ponens,[status(thm)],[23658, 23657])).
% 49.76/32.85 tff(23660,plain,
% 49.76/32.85 ((~v127(constB179, bitIndex2)) | v130(constB179, bitIndex2)),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23659, 1210, 23551])).
% 49.76/32.85 tff(23661,plain,
% 49.76/32.85 (~v127(constB179, bitIndex2)),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23660, 23653])).
% 49.76/32.85 tff(23662,plain,
% 49.76/32.85 (((~![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)))),
% 49.76/32.85 inference(rewrite,[status(thm)],[])).
% 49.76/32.85 tff(23663,plain,
% 49.76/32.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB179, constB180)) | v127(constB179, bitIndex2) | (~v129(constB180, bitIndex2)))),
% 49.76/32.85 inference(quant_inst,[status(thm)],[])).
% 49.76/32.85 tff(23664,plain,
% 49.76/32.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB179, constB180)) | v127(constB179, bitIndex2) | (~v129(constB180, bitIndex2))),
% 49.76/32.85 inference(modus_ponens,[status(thm)],[23663, 23662])).
% 49.76/32.85 tff(23665,plain,
% 49.76/32.85 (v127(constB179, bitIndex2) | (~v129(constB180, bitIndex2))),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23664, 1243, 23566])).
% 49.76/32.85 tff(23666,plain,
% 49.76/32.85 (~v129(constB180, bitIndex2)),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23665, 23661])).
% 49.76/32.85 tff(23667,plain,
% 49.76/32.85 (((~![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)))),
% 49.76/32.85 inference(rewrite,[status(thm)],[])).
% 49.76/32.85 tff(23668,plain,
% 49.76/32.85 (((~v90(constB180, bitIndex2)) | (~v100(constB180)) | v129(constB180, bitIndex2)) <=> ((~v90(constB180, bitIndex2)) | v129(constB180, bitIndex2) | (~v100(constB180)))),
% 49.76/32.85 inference(rewrite,[status(thm)],[])).
% 49.76/32.85 tff(23669,plain,
% 49.76/32.85 (((~![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))))),
% 49.76/32.85 inference(monotonicity,[status(thm)],[23668])).
% 49.76/32.85 tff(23670,plain,
% 49.76/32.85 (((~![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)))),
% 49.76/32.85 inference(transitivity,[status(thm)],[23669, 23667])).
% 49.76/32.85 tff(23671,plain,
% 49.76/32.85 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB180, bitIndex2)) | (~v100(constB180)) | v129(constB180, bitIndex2))),
% 49.76/32.85 inference(quant_inst,[status(thm)],[])).
% 49.76/32.85 tff(23672,plain,
% 49.76/32.85 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB180, bitIndex2)) | v129(constB180, bitIndex2) | (~v100(constB180))),
% 49.76/32.85 inference(modus_ponens,[status(thm)],[23671, 23670])).
% 49.76/32.85 tff(23673,plain,
% 49.76/32.85 ((~v90(constB180, bitIndex2)) | (~v100(constB180))),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23672, 1258, 23666])).
% 49.76/32.85 tff(23674,plain,
% 49.76/32.85 (~v90(constB180, bitIndex2)),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23673, 23600])).
% 49.76/32.85 tff(23675,plain,
% 49.76/32.85 (((~![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)))),
% 49.76/32.85 inference(rewrite,[status(thm)],[])).
% 49.76/32.85 tff(23676,plain,
% 49.76/32.85 (((~nextState(constB180, constB181)) | v90(constB180, bitIndex2) | v100(constB181) | (~v90(constB181, bitIndex2))) <=> (v90(constB180, bitIndex2) | (~nextState(constB180, constB181)) | v100(constB181) | (~v90(constB181, bitIndex2)))),
% 49.76/32.85 inference(rewrite,[status(thm)],[])).
% 49.76/32.85 tff(23677,plain,
% 49.76/32.85 (((~![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))))),
% 49.76/32.85 inference(monotonicity,[status(thm)],[23676])).
% 49.76/32.85 tff(23678,plain,
% 49.76/32.85 (((~![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)))),
% 49.76/32.85 inference(transitivity,[status(thm)],[23677, 23675])).
% 49.76/32.85 tff(23679,plain,
% 49.76/32.85 ((~![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)))),
% 49.76/32.85 inference(quant_inst,[status(thm)],[])).
% 49.76/32.85 tff(23680,plain,
% 49.76/32.85 ((~![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))),
% 49.76/32.85 inference(modus_ponens,[status(thm)],[23679, 23678])).
% 49.76/32.85 tff(23681,plain,
% 49.76/32.85 (v90(constB180, bitIndex2) | v100(constB181) | (~v90(constB181, bitIndex2))),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23680, 81, 23628])).
% 49.76/32.85 tff(23682,plain,
% 49.76/32.85 (v90(constB180, bitIndex2) | (~v90(constB181, bitIndex2))),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23681, 23640])).
% 49.76/32.85 tff(23683,plain,
% 49.76/32.85 (~v90(constB181, bitIndex2)),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23682, 23674])).
% 49.76/32.85 tff(23684,assumption,(v120(constB177)), introduced(assumption)).
% 49.76/32.85 tff(23685,plain,
% 49.76/32.85 (v118(constB177)),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23327, 1302, 23684])).
% 49.76/32.85 tff(23686,plain,
% 49.76/32.85 (v117(constB177)),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23331, 166, 23685])).
% 49.76/32.85 tff(23687,plain,
% 49.76/32.85 (v116(constB177)),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23335, 177, 23686])).
% 49.76/32.85 tff(23688,plain,
% 49.76/32.85 (v115(constB177)),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23339, 188, 23687])).
% 49.76/32.85 tff(23689,plain,
% 49.76/32.85 (v114(constB177)),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23343, 199, 23688])).
% 49.76/32.85 tff(23690,plain,
% 49.76/32.85 (v113(constB177)),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23347, 210, 23689])).
% 49.76/32.85 tff(23691,assumption,(~v26(constB177)), introduced(assumption)).
% 49.76/32.85 tff(23692,plain,
% 49.76/32.85 ((~v113(constB177)) | v112(constB177)),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23355, 224, 23691])).
% 49.76/32.85 tff(23693,plain,
% 49.76/32.85 (v112(constB177)),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23692, 23690])).
% 49.76/32.85 tff(23694,plain,
% 49.76/32.85 (v108(constB177)),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23360, 236, 23693])).
% 49.76/32.85 tff(23695,plain,
% 49.76/32.85 (v110(constB178)),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23371, 23694])).
% 49.76/32.85 tff(23696,plain,
% 49.76/32.85 (v100(constB178)),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23397, 23695])).
% 49.76/32.85 tff(23697,plain,
% 49.76/32.85 (~v130(constB177, bitIndex2)),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23401, 1383, 23684])).
% 49.76/32.85 tff(23698,plain,
% 49.76/32.85 ((~v127(constB177, bitIndex2)) | v130(constB177, bitIndex2)),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23408, 1210, 23691])).
% 49.76/32.85 tff(23699,plain,
% 49.76/32.85 (~v127(constB177, bitIndex2)),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23698, 23697])).
% 49.76/32.85 tff(23700,plain,
% 49.76/32.85 (~v129(constB178, bitIndex2)),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23414, 23699])).
% 49.76/32.85 tff(23701,plain,
% 49.76/32.85 ((~v90(constB178, bitIndex2)) | (~v100(constB178))),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23421, 1258, 23700])).
% 49.76/32.85 tff(23702,plain,
% 49.76/32.85 (~v90(constB178, bitIndex2)),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23701, 23696])).
% 49.76/32.85 tff(23703,plain,
% 49.76/32.85 (~v90(constB179, bitIndex2)),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23449, 23702])).
% 49.76/32.85 tff(23704,plain,
% 49.76/32.85 (v130(constB177, bitIndex1)),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23453, 1450, 23684])).
% 49.76/32.85 tff(23705,plain,
% 49.76/32.85 ((~v130(constB177, bitIndex1)) | v127(constB177, bitIndex1)),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23457, 681, 23691])).
% 49.76/32.85 tff(23706,plain,
% 49.76/32.85 (v127(constB177, bitIndex1)),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23705, 23704])).
% 49.76/32.85 tff(23707,plain,
% 49.76/32.85 (v129(constB178, bitIndex1)),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23463, 23706])).
% 49.76/32.85 tff(23708,plain,
% 49.76/32.85 (v90(constB178, bitIndex1) | (~v100(constB178))),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23470, 711, 23707])).
% 49.76/32.85 tff(23709,plain,
% 49.76/32.85 (v90(constB178, bitIndex1)),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23708, 23696])).
% 49.76/32.85 tff(23710,plain,
% 49.76/32.85 (v90(constB179, bitIndex1)),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23480, 23709])).
% 49.76/32.85 tff(23711,assumption,(~v129(constB178, bitIndex0)), introduced(assumption)).
% 49.76/32.85 tff(23712,plain,
% 49.76/32.85 ((~v90(constB178, bitIndex0)) | (~v100(constB178))),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23512, 557, 23711])).
% 49.76/32.85 tff(23713,plain,
% 49.76/32.85 (~v90(constB178, bitIndex0)),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23712, 23696])).
% 49.76/32.85 tff(23714,plain,
% 49.76/32.85 (~v90(constB179, bitIndex0)),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23522, 23713])).
% 49.76/32.85 tff(23715,plain,
% 49.76/32.85 (v121(constB179)),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23526, 1551, 23714, 23710, 23703])).
% 49.76/32.85 tff(23716,assumption,(~v90(constB180, bitIndex1)), introduced(assumption)).
% 49.76/32.85 tff(23717,plain,
% 49.76/32.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB179, bitIndex1)) | (~nextState(constB179, constB180)) | v100(constB180) | v90(constB180, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB179, bitIndex1)) | (~nextState(constB179, constB180)) | v100(constB180) | v90(constB180, bitIndex1))),
% 49.76/32.85 inference(rewrite,[status(thm)],[])).
% 49.76/32.85 tff(23718,plain,
% 49.76/32.85 (((~nextState(constB179, constB180)) | (~v90(constB179, bitIndex1)) | v100(constB180) | v90(constB180, bitIndex1)) <=> ((~v90(constB179, bitIndex1)) | (~nextState(constB179, constB180)) | v100(constB180) | v90(constB180, bitIndex1))),
% 49.76/32.85 inference(rewrite,[status(thm)],[])).
% 49.76/32.85 tff(23719,plain,
% 49.76/32.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB179, constB180)) | (~v90(constB179, bitIndex1)) | v100(constB180) | v90(constB180, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB179, bitIndex1)) | (~nextState(constB179, constB180)) | v100(constB180) | v90(constB180, bitIndex1)))),
% 49.76/32.85 inference(monotonicity,[status(thm)],[23718])).
% 49.76/32.85 tff(23720,plain,
% 49.76/32.85 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB179, constB180)) | (~v90(constB179, bitIndex1)) | v100(constB180) | v90(constB180, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB179, bitIndex1)) | (~nextState(constB179, constB180)) | v100(constB180) | v90(constB180, bitIndex1))),
% 49.76/32.85 inference(transitivity,[status(thm)],[23719, 23717])).
% 49.76/32.85 tff(23721,plain,
% 49.76/32.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB179, constB180)) | (~v90(constB179, bitIndex1)) | v100(constB180) | v90(constB180, bitIndex1))),
% 49.76/32.85 inference(quant_inst,[status(thm)],[])).
% 49.76/32.85 tff(23722,plain,
% 49.76/32.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB179, bitIndex1)) | (~nextState(constB179, constB180)) | v100(constB180) | v90(constB180, bitIndex1)),
% 49.76/32.85 inference(modus_ponens,[status(thm)],[23721, 23720])).
% 49.76/32.85 tff(23723,plain,
% 49.76/32.85 ((~v90(constB179, bitIndex1)) | v100(constB180) | v90(constB180, bitIndex1)),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23722, 747, 23566])).
% 49.76/32.85 tff(23724,plain,
% 49.76/32.85 (v100(constB180)),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23723, 23710, 23716])).
% 49.76/32.85 tff(23725,plain,
% 49.76/32.85 (((~![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)))),
% 49.76/32.85 inference(rewrite,[status(thm)],[])).
% 49.76/32.85 tff(23726,plain,
% 49.76/32.85 ((v90(constB180, bitIndex1) | (~v100(constB180)) | (~v129(constB180, bitIndex1))) <=> (v90(constB180, bitIndex1) | (~v129(constB180, bitIndex1)) | (~v100(constB180)))),
% 49.76/32.85 inference(rewrite,[status(thm)],[])).
% 49.76/32.85 tff(23727,plain,
% 49.76/32.85 (((~![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))))),
% 49.76/32.85 inference(monotonicity,[status(thm)],[23726])).
% 49.76/32.85 tff(23728,plain,
% 49.76/32.85 (((~![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)))),
% 49.76/32.85 inference(transitivity,[status(thm)],[23727, 23725])).
% 49.76/32.85 tff(23729,plain,
% 49.76/32.85 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB180, bitIndex1) | (~v100(constB180)) | (~v129(constB180, bitIndex1)))),
% 49.76/32.85 inference(quant_inst,[status(thm)],[])).
% 49.76/32.85 tff(23730,plain,
% 49.76/32.85 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB180, bitIndex1) | (~v129(constB180, bitIndex1)) | (~v100(constB180))),
% 49.76/32.85 inference(modus_ponens,[status(thm)],[23729, 23728])).
% 49.76/32.85 tff(23731,plain,
% 49.76/32.85 ((~v129(constB180, bitIndex1)) | (~v100(constB180))),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23730, 711, 23716])).
% 49.76/32.85 tff(23732,plain,
% 49.76/32.85 (~v129(constB180, bitIndex1)),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23731, 23724])).
% 49.76/32.85 tff(23733,plain,
% 49.76/32.85 (((~![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))),
% 49.76/32.85 inference(rewrite,[status(thm)],[])).
% 49.76/32.85 tff(23734,plain,
% 49.76/32.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB179, constB180)) | (~v127(constB179, bitIndex1)) | v129(constB180, bitIndex1))),
% 49.76/32.85 inference(quant_inst,[status(thm)],[])).
% 49.76/32.85 tff(23735,plain,
% 49.76/32.85 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB179, constB180)) | (~v127(constB179, bitIndex1)) | v129(constB180, bitIndex1)),
% 49.76/32.85 inference(modus_ponens,[status(thm)],[23734, 23733])).
% 49.76/32.85 tff(23736,plain,
% 49.76/32.85 ((~v127(constB179, bitIndex1)) | v129(constB180, bitIndex1)),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23735, 696, 23566])).
% 49.76/32.85 tff(23737,plain,
% 49.76/32.85 (~v127(constB179, bitIndex1)),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23736, 23732])).
% 49.76/32.85 tff(23738,plain,
% 49.76/32.85 (((~![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))),
% 49.76/32.85 inference(rewrite,[status(thm)],[])).
% 49.76/32.85 tff(23739,plain,
% 49.76/32.85 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB179) | (~v130(constB179, bitIndex1)) | v127(constB179, bitIndex1))),
% 49.76/32.85 inference(quant_inst,[status(thm)],[])).
% 49.76/32.85 tff(23740,plain,
% 49.76/32.85 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB179) | (~v130(constB179, bitIndex1)) | v127(constB179, bitIndex1)),
% 49.76/32.85 inference(modus_ponens,[status(thm)],[23739, 23738])).
% 49.76/32.85 tff(23741,plain,
% 49.76/32.85 ((~v130(constB179, bitIndex1)) | v127(constB179, bitIndex1)),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23740, 681, 23551])).
% 49.76/32.85 tff(23742,plain,
% 49.76/32.85 (~v130(constB179, bitIndex1)),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23741, 23737])).
% 49.76/32.85 tff(23743,plain,
% 49.76/32.85 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB179)) | v130(constB179, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB179)) | v130(constB179, bitIndex1))),
% 49.76/32.85 inference(rewrite,[status(thm)],[])).
% 49.76/32.85 tff(23744,plain,
% 49.76/32.85 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB179)) | v130(constB179, bitIndex1))),
% 49.76/32.85 inference(quant_inst,[status(thm)],[])).
% 49.76/32.85 tff(23745,plain,
% 49.76/32.85 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB179)) | v130(constB179, bitIndex1)),
% 49.76/32.85 inference(modus_ponens,[status(thm)],[23744, 23743])).
% 49.76/32.85 tff(23746,plain,
% 49.76/32.85 ($false),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23745, 1707, 23742, 23715])).
% 49.76/32.85 tff(23747,plain,((~v120(constB177)) | v90(constB180, bitIndex1) | v129(constB178, bitIndex0) | v26(constB177)), inference(lemma,lemma(discharge,[]))).
% 49.76/32.85 tff(23748,plain,
% 49.76/32.85 (v90(constB180, bitIndex1)),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23747, 23506, 23352, 23324])).
% 49.76/32.85 tff(23749,plain,
% 49.76/32.85 (((~![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))),
% 49.76/32.85 inference(rewrite,[status(thm)],[])).
% 49.76/32.85 tff(23750,plain,
% 49.76/32.85 (((~nextState(constB180, constB181)) | (~v90(constB180, bitIndex1)) | v100(constB181) | v90(constB181, bitIndex1)) <=> ((~v90(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v100(constB181) | v90(constB181, bitIndex1))),
% 49.76/32.85 inference(rewrite,[status(thm)],[])).
% 49.76/32.85 tff(23751,plain,
% 49.76/32.85 (((~![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)))),
% 49.76/32.85 inference(monotonicity,[status(thm)],[23750])).
% 49.76/32.85 tff(23752,plain,
% 49.76/32.85 (((~![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))),
% 49.76/32.85 inference(transitivity,[status(thm)],[23751, 23749])).
% 49.76/32.85 tff(23753,plain,
% 49.76/32.85 ((~![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))),
% 49.76/32.85 inference(quant_inst,[status(thm)],[])).
% 49.76/32.85 tff(23754,plain,
% 49.76/32.85 ((~![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)),
% 49.76/32.85 inference(modus_ponens,[status(thm)],[23753, 23752])).
% 49.76/32.85 tff(23755,plain,
% 49.76/32.85 ((~v90(constB180, bitIndex1)) | v100(constB181) | v90(constB181, bitIndex1)),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23754, 747, 23628])).
% 49.76/32.85 tff(23756,plain,
% 49.76/32.85 ((~v90(constB180, bitIndex1)) | v90(constB181, bitIndex1)),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23755, 23640])).
% 49.76/32.85 tff(23757,plain,
% 49.76/32.85 (v90(constB181, bitIndex1)),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23756, 23748])).
% 49.76/32.85 tff(23758,plain,
% 49.76/32.85 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB181, bitIndex0)) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex2) | v122(constB181))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB181, bitIndex0)) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex2) | v122(constB181))),
% 49.76/32.85 inference(rewrite,[status(thm)],[])).
% 49.76/32.85 tff(23759,plain,
% 49.76/32.85 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB181, bitIndex0)) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex2) | v122(constB181))),
% 49.76/32.85 inference(quant_inst,[status(thm)],[])).
% 49.76/32.85 tff(23760,plain,
% 49.76/32.85 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB181, bitIndex0)) | (~v90(constB181, bitIndex1)) | v90(constB181, bitIndex2) | v122(constB181)),
% 49.76/32.85 inference(modus_ponens,[status(thm)],[23759, 23758])).
% 49.76/32.85 tff(23761,plain,
% 49.76/32.85 ((~v90(constB181, bitIndex0)) | v90(constB181, bitIndex2) | v122(constB181)),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23760, 1789, 23757])).
% 49.76/32.85 tff(23762,plain,
% 49.76/32.85 (v122(constB181)),
% 49.76/32.85 inference(unit_resolution,[status(thm)],[23761, 23683, 23649])).
% 49.76/32.85 tff(23763,plain,
% 49.76/32.85 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB181)) | v130(constB181, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB181)) | v130(constB181, bitIndex2))),
% 49.76/32.85 inference(rewrite,[status(thm)],[])).
% 49.76/32.85 tff(23764,plain,
% 49.76/32.85 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB181)) | v130(constB181, bitIndex2))),
% 49.76/32.85 inference(quant_inst,[status(thm)],[])).
% 49.76/32.85 tff(23765,plain,
% 49.76/32.86 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB181)) | v130(constB181, bitIndex2)),
% 49.76/32.86 inference(modus_ponens,[status(thm)],[23764, 23763])).
% 49.76/32.86 tff(23766,plain,
% 49.76/32.86 (v130(constB181, bitIndex2)),
% 49.76/32.86 inference(unit_resolution,[status(thm)],[23765, 1876, 23762])).
% 49.76/32.86 tff(23767,plain,
% 49.76/32.86 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB181) | (~v122(constB181)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB181) | (~v122(constB181)))),
% 49.76/32.86 inference(rewrite,[status(thm)],[])).
% 49.76/32.86 tff(23768,plain,
% 49.76/32.86 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB181) | (~v122(constB181)))),
% 49.76/32.86 inference(quant_inst,[status(thm)],[])).
% 49.76/32.86 tff(23769,plain,
% 49.76/32.86 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB181) | (~v122(constB181))),
% 49.76/32.86 inference(modus_ponens,[status(thm)],[23768, 23767])).
% 49.76/32.86 tff(23770,plain,
% 49.76/32.86 (v116(constB181)),
% 49.76/32.86 inference(unit_resolution,[status(thm)],[23769, 1800, 23762])).
% 49.76/32.86 tff(23771,plain,
% 49.76/32.86 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB181) | (~v116(constB181)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB181) | (~v116(constB181)))),
% 49.76/32.86 inference(rewrite,[status(thm)],[])).
% 49.76/32.86 tff(23772,plain,
% 49.76/32.86 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB181) | (~v116(constB181)))),
% 49.76/32.86 inference(quant_inst,[status(thm)],[])).
% 49.76/32.86 tff(23773,plain,
% 49.76/32.86 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB181) | (~v116(constB181))),
% 49.76/32.86 inference(modus_ponens,[status(thm)],[23772, 23771])).
% 49.76/32.86 tff(23774,plain,
% 49.76/32.86 (v115(constB181)),
% 49.76/32.86 inference(unit_resolution,[status(thm)],[23773, 188, 23770])).
% 49.76/32.86 tff(23775,plain,
% 49.76/32.86 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB181) | (~v115(constB181)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB181) | (~v115(constB181)))),
% 49.76/32.86 inference(rewrite,[status(thm)],[])).
% 49.76/32.86 tff(23776,plain,
% 49.76/32.86 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB181) | (~v115(constB181)))),
% 49.76/32.86 inference(quant_inst,[status(thm)],[])).
% 49.76/32.86 tff(23777,plain,
% 49.76/32.86 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB181) | (~v115(constB181))),
% 49.76/32.86 inference(modus_ponens,[status(thm)],[23776, 23775])).
% 49.76/32.86 tff(23778,plain,
% 49.76/32.86 (v114(constB181)),
% 49.76/32.86 inference(unit_resolution,[status(thm)],[23777, 199, 23774])).
% 49.76/32.86 tff(23779,plain,
% 49.76/32.86 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB181) | (~v114(constB181)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB181) | (~v114(constB181)))),
% 49.76/32.86 inference(rewrite,[status(thm)],[])).
% 49.76/32.86 tff(23780,plain,
% 49.76/32.86 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB181) | (~v114(constB181)))),
% 49.76/32.86 inference(quant_inst,[status(thm)],[])).
% 49.76/32.86 tff(23781,plain,
% 49.76/32.86 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB181) | (~v114(constB181))),
% 49.76/32.86 inference(modus_ponens,[status(thm)],[23780, 23779])).
% 49.76/32.86 tff(23782,plain,
% 49.76/32.86 (v113(constB181)),
% 49.76/32.86 inference(unit_resolution,[status(thm)],[23781, 210, 23778])).
% 49.76/32.86 tff(23783,assumption,(v26(constB181)), introduced(assumption)).
% 49.76/32.86 tff(23784,plain,
% 49.76/32.86 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB181))),
% 49.76/32.86 inference(quant_inst,[status(thm)],[])).
% 49.76/32.86 tff(23785,plain,
% 49.76/32.86 ($false),
% 49.76/32.86 inference(unit_resolution,[status(thm)],[23784, 16, 23783])).
% 49.76/32.86 tff(23786,plain,(~v26(constB181)), inference(lemma,lemma(discharge,[]))).
% 49.76/32.86 tff(23787,assumption,(~v26(constB181)), introduced(assumption)).
% 49.76/32.86 tff(23788,assumption,(v113(constB181)), introduced(assumption)).
% 49.76/32.86 tff(23789,plain,
% 49.76/32.86 (((~![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))),
% 49.76/32.86 inference(rewrite,[status(thm)],[])).
% 49.76/32.86 tff(23790,plain,
% 49.76/32.86 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB181) | (~v113(constB181)) | v112(constB181))),
% 49.76/32.86 inference(quant_inst,[status(thm)],[])).
% 49.76/32.86 tff(23791,plain,
% 49.76/32.86 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB181) | (~v113(constB181)) | v112(constB181)),
% 49.76/32.86 inference(modus_ponens,[status(thm)],[23790, 23789])).
% 49.76/32.86 tff(23792,plain,
% 49.76/32.86 (v26(constB181) | v112(constB181)),
% 49.76/32.86 inference(unit_resolution,[status(thm)],[23791, 224, 23788])).
% 49.76/32.86 tff(23793,plain,
% 49.76/32.86 (v112(constB181)),
% 49.76/32.86 inference(unit_resolution,[status(thm)],[23792, 23787])).
% 49.76/32.86 tff(23794,assumption,(v130(constB181, bitIndex2)), introduced(assumption)).
% 49.76/32.86 tff(23795,plain,
% 49.76/32.86 (((~![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))) | v26(constB181) | (~v130(constB181, bitIndex2)) | v127(constB181, bitIndex2))),
% 49.76/32.86 inference(rewrite,[status(thm)],[])).
% 49.76/32.86 tff(23796,plain,
% 49.76/32.86 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB181) | (~v130(constB181, bitIndex2)) | v127(constB181, bitIndex2))),
% 49.76/32.86 inference(quant_inst,[status(thm)],[])).
% 49.76/32.86 tff(23797,plain,
% 49.76/32.86 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB181) | (~v130(constB181, bitIndex2)) | v127(constB181, bitIndex2)),
% 49.76/32.86 inference(modus_ponens,[status(thm)],[23796, 23795])).
% 49.76/32.86 tff(23798,plain,
% 49.76/32.86 (v26(constB181) | v127(constB181, bitIndex2)),
% 49.76/32.86 inference(unit_resolution,[status(thm)],[23797, 351, 23794])).
% 49.76/32.86 tff(23799,plain,
% 49.76/32.86 (v127(constB181, bitIndex2)),
% 49.76/32.86 inference(unit_resolution,[status(thm)],[23798, 23787])).
% 49.76/32.86 tff(23800,plain,
% 49.76/32.86 (nextState(constB181, constB182) <=> nextState(constB181, constB182)),
% 49.76/32.86 inference(rewrite,[status(thm)],[])).
% 49.76/32.86 tff(23801,axiom,(nextState(constB181, constB182)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_181_1')).
% 49.76/32.86 tff(23802,plain,
% 49.76/32.86 (nextState(constB181, constB182)),
% 49.76/32.86 inference(modus_ponens,[status(thm)],[23801, 23800])).
% 49.76/32.86 tff(23803,plain,
% 49.76/32.86 (((~![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))),
% 49.76/32.86 inference(rewrite,[status(thm)],[])).
% 49.76/32.86 tff(23804,plain,
% 49.76/32.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB181, constB182)) | (~v127(constB181, bitIndex2)) | v129(constB182, bitIndex2))),
% 49.76/32.86 inference(quant_inst,[status(thm)],[])).
% 49.76/32.86 tff(23805,plain,
% 49.76/32.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB181, constB182)) | (~v127(constB181, bitIndex2)) | v129(constB182, bitIndex2)),
% 49.76/32.86 inference(modus_ponens,[status(thm)],[23804, 23803])).
% 49.76/32.86 tff(23806,plain,
% 49.76/32.86 ((~v127(constB181, bitIndex2)) | v129(constB182, bitIndex2)),
% 49.76/32.86 inference(unit_resolution,[status(thm)],[23805, 366, 23802])).
% 49.76/32.86 tff(23807,plain,
% 49.76/32.86 (v129(constB182, bitIndex2)),
% 49.76/32.86 inference(unit_resolution,[status(thm)],[23806, 23799])).
% 49.76/32.86 tff(23808,assumption,(~v90(constB182, bitIndex2)), introduced(assumption)).
% 49.76/32.86 tff(23809,plain,
% 49.76/32.86 (((~![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)))),
% 49.76/32.86 inference(rewrite,[status(thm)],[])).
% 49.76/32.86 tff(23810,plain,
% 49.76/32.86 ((v90(constB182, bitIndex2) | (~v100(constB182)) | (~v129(constB182, bitIndex2))) <=> (v90(constB182, bitIndex2) | (~v129(constB182, bitIndex2)) | (~v100(constB182)))),
% 49.76/32.86 inference(rewrite,[status(thm)],[])).
% 49.76/32.86 tff(23811,plain,
% 49.76/32.86 (((~![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))))),
% 49.76/32.86 inference(monotonicity,[status(thm)],[23810])).
% 49.76/32.86 tff(23812,plain,
% 49.76/32.86 (((~![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)))),
% 49.76/32.86 inference(transitivity,[status(thm)],[23811, 23809])).
% 49.76/32.86 tff(23813,plain,
% 49.76/32.86 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB182, bitIndex2) | (~v100(constB182)) | (~v129(constB182, bitIndex2)))),
% 49.76/32.86 inference(quant_inst,[status(thm)],[])).
% 49.76/32.86 tff(23814,plain,
% 49.76/32.86 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB182, bitIndex2) | (~v129(constB182, bitIndex2)) | (~v100(constB182))),
% 49.76/32.86 inference(modus_ponens,[status(thm)],[23813, 23812])).
% 49.76/32.86 tff(23815,plain,
% 49.76/32.86 ((~v129(constB182, bitIndex2)) | (~v100(constB182))),
% 49.76/32.86 inference(unit_resolution,[status(thm)],[23814, 381, 23808])).
% 49.76/32.86 tff(23816,plain,
% 49.76/32.86 (~v100(constB182)),
% 49.76/32.86 inference(unit_resolution,[status(thm)],[23815, 23807])).
% 49.76/32.86 tff(23817,plain,
% 49.76/32.86 (((~![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)))),
% 49.76/32.86 inference(rewrite,[status(thm)],[])).
% 49.76/32.86 tff(23818,plain,
% 49.76/32.86 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB181) | (~nextState(constB181, constB182)) | (~v104(constB182)))),
% 49.76/32.86 inference(quant_inst,[status(thm)],[])).
% 49.76/32.86 tff(23819,plain,
% 49.76/32.86 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB181) | (~nextState(constB181, constB182)) | (~v104(constB182))),
% 49.76/32.86 inference(modus_ponens,[status(thm)],[23818, 23817])).
% 49.76/32.86 tff(23820,plain,
% 49.76/32.86 (~v104(constB182)),
% 49.76/32.86 inference(unit_resolution,[status(thm)],[23819, 271, 23802, 23625])).
% 49.76/32.86 tff(23821,plain,
% 49.76/32.86 (((~![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))),
% 49.76/32.86 inference(rewrite,[status(thm)],[])).
% 49.76/32.86 tff(23822,plain,
% 49.76/32.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB181, constB182)) | v102(constB182) | v104(constB182))),
% 49.76/32.86 inference(quant_inst,[status(thm)],[])).
% 49.76/32.86 tff(23823,plain,
% 49.76/32.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB181, constB182)) | v102(constB182) | v104(constB182)),
% 49.76/32.86 inference(modus_ponens,[status(thm)],[23822, 23821])).
% 49.76/32.86 tff(23824,plain,
% 49.76/32.86 (v102(constB182) | v104(constB182)),
% 49.76/32.86 inference(unit_resolution,[status(thm)],[23823, 285, 23802])).
% 49.76/32.86 tff(23825,plain,
% 49.76/32.86 (v102(constB182)),
% 49.76/32.86 inference(unit_resolution,[status(thm)],[23824, 23820])).
% 49.76/32.86 tff(23826,plain,
% 49.76/32.86 (v1(constB182) <=> v1(constB182)),
% 49.76/32.86 inference(rewrite,[status(thm)],[])).
% 49.76/32.86 tff(23827,axiom,(v1(constB182)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_182_1')).
% 49.76/32.86 tff(23828,plain,
% 49.76/32.86 (v1(constB182)),
% 49.76/32.86 inference(modus_ponens,[status(thm)],[23827, 23826])).
% 49.76/32.86 tff(23829,plain,
% 49.76/32.86 (((~![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)))),
% 49.76/32.86 inference(rewrite,[status(thm)],[])).
% 49.76/32.86 tff(23830,plain,
% 49.76/32.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB181, constB182)) | v101(constB182) | (~v102(constB182)) | (~v1(constB182)))),
% 49.76/32.86 inference(quant_inst,[status(thm)],[])).
% 49.76/32.86 tff(23831,plain,
% 49.76/32.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB181, constB182)) | v101(constB182) | (~v102(constB182)) | (~v1(constB182))),
% 49.76/32.86 inference(modus_ponens,[status(thm)],[23830, 23829])).
% 49.76/32.86 tff(23832,plain,
% 49.76/32.86 (v101(constB182) | (~v102(constB182))),
% 49.76/32.86 inference(unit_resolution,[status(thm)],[23831, 303, 23802, 23828])).
% 49.76/32.86 tff(23833,plain,
% 49.76/32.86 (v101(constB182)),
% 49.76/32.86 inference(unit_resolution,[status(thm)],[23832, 23825])).
% 49.76/32.86 tff(23834,plain,
% 49.76/32.86 (((~![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)))),
% 49.76/32.86 inference(rewrite,[status(thm)],[])).
% 49.76/32.86 tff(23835,plain,
% 49.76/32.86 (((~nextState(constB181, constB182)) | (~v101(constB182)) | (~v110(constB182)) | v100(constB182)) <=> ((~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182)))),
% 49.76/32.86 inference(rewrite,[status(thm)],[])).
% 49.76/32.86 tff(23836,plain,
% 49.76/32.86 (((~![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))))),
% 49.76/32.86 inference(monotonicity,[status(thm)],[23835])).
% 49.76/32.86 tff(23837,plain,
% 49.76/32.86 (((~![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)))),
% 49.76/32.86 inference(transitivity,[status(thm)],[23836, 23834])).
% 49.76/32.86 tff(23838,plain,
% 49.76/32.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB181, constB182)) | (~v101(constB182)) | (~v110(constB182)) | v100(constB182))),
% 49.76/32.86 inference(quant_inst,[status(thm)],[])).
% 49.76/32.86 tff(23839,plain,
% 49.76/32.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB181, constB182)) | v100(constB182) | (~v101(constB182)) | (~v110(constB182))),
% 49.76/32.86 inference(modus_ponens,[status(thm)],[23838, 23837])).
% 49.76/32.86 tff(23840,plain,
% 49.76/32.86 (v100(constB182) | (~v101(constB182)) | (~v110(constB182))),
% 49.76/32.86 inference(unit_resolution,[status(thm)],[23839, 318, 23802])).
% 49.76/32.86 tff(23841,plain,
% 49.76/32.86 (v100(constB182) | (~v110(constB182))),
% 49.76/32.86 inference(unit_resolution,[status(thm)],[23840, 23833])).
% 49.76/32.86 tff(23842,plain,
% 49.76/32.86 (~v110(constB182)),
% 49.76/32.86 inference(unit_resolution,[status(thm)],[23841, 23816])).
% 49.76/32.86 tff(23843,plain,
% 49.76/32.86 (((~![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)))),
% 49.76/32.86 inference(rewrite,[status(thm)],[])).
% 49.76/32.86 tff(23844,plain,
% 49.76/32.86 (((~nextState(constB181, constB182)) | (~v108(constB181)) | v110(constB182)) <=> ((~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181)))),
% 49.76/32.86 inference(rewrite,[status(thm)],[])).
% 49.76/32.86 tff(23845,plain,
% 49.76/32.86 (((~![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))))),
% 49.76/32.86 inference(monotonicity,[status(thm)],[23844])).
% 49.76/32.86 tff(23846,plain,
% 49.76/32.86 (((~![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)))),
% 49.76/32.86 inference(transitivity,[status(thm)],[23845, 23843])).
% 49.76/32.86 tff(23847,plain,
% 49.76/32.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB181, constB182)) | (~v108(constB181)) | v110(constB182))),
% 49.76/32.86 inference(quant_inst,[status(thm)],[])).
% 49.76/32.86 tff(23848,plain,
% 49.76/32.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB181, constB182)) | v110(constB182) | (~v108(constB181))),
% 49.76/32.86 inference(modus_ponens,[status(thm)],[23847, 23846])).
% 49.76/32.86 tff(23849,plain,
% 49.76/32.86 (v110(constB182) | (~v108(constB181))),
% 49.76/32.86 inference(unit_resolution,[status(thm)],[23848, 253, 23802])).
% 49.76/32.86 tff(23850,plain,
% 49.76/32.86 (~v108(constB181)),
% 49.76/32.86 inference(unit_resolution,[status(thm)],[23849, 23842])).
% 49.76/32.86 tff(23851,plain,
% 49.76/32.86 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB181) | (~v112(constB181)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB181) | (~v112(constB181)))),
% 49.76/32.86 inference(rewrite,[status(thm)],[])).
% 49.76/32.86 tff(23852,plain,
% 49.76/32.86 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB181) | (~v112(constB181)))),
% 49.76/32.86 inference(quant_inst,[status(thm)],[])).
% 49.76/32.86 tff(23853,plain,
% 49.76/32.86 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB181) | (~v112(constB181))),
% 49.76/32.86 inference(modus_ponens,[status(thm)],[23852, 23851])).
% 49.76/32.86 tff(23854,plain,
% 49.76/32.86 ($false),
% 49.76/32.86 inference(unit_resolution,[status(thm)],[23853, 236, 23850, 23793])).
% 49.76/32.86 tff(23855,plain,(v26(constB181) | v90(constB182, bitIndex2) | (~v113(constB181)) | (~v130(constB181, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 49.76/32.86 tff(23856,plain,
% 49.76/32.86 (v90(constB182, bitIndex2) | (~v113(constB181)) | (~v130(constB181, bitIndex2))),
% 49.76/32.86 inference(unit_resolution,[status(thm)],[23855, 23786])).
% 49.76/32.86 tff(23857,plain,
% 49.76/32.86 (v90(constB182, bitIndex2)),
% 49.76/32.86 inference(unit_resolution,[status(thm)],[23856, 23782, 23766])).
% 49.76/32.86 tff(23858,plain,
% 49.76/32.86 ((~v1(constB183)) <=> (~v1(constB183))),
% 49.76/32.86 inference(rewrite,[status(thm)],[])).
% 49.76/32.86 tff(23859,axiom,(~v1(constB183)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_183_1_1')).
% 49.76/32.86 tff(23860,plain,
% 49.76/32.86 (~v1(constB183)),
% 49.76/32.86 inference(modus_ponens,[status(thm)],[23859, 23858])).
% 49.76/32.86 tff(23861,plain,
% 49.76/32.86 (nextState(constB182, constB183) <=> nextState(constB182, constB183)),
% 49.76/32.86 inference(rewrite,[status(thm)],[])).
% 49.76/32.86 tff(23862,axiom,(nextState(constB182, constB183)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_182_1')).
% 49.76/32.86 tff(23863,plain,
% 49.76/32.86 (nextState(constB182, constB183)),
% 49.76/32.86 inference(modus_ponens,[status(thm)],[23862, 23861])).
% 49.76/32.86 tff(23864,plain,
% 49.76/32.86 (((~![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)))),
% 49.76/32.86 inference(rewrite,[status(thm)],[])).
% 49.76/32.86 tff(23865,plain,
% 49.76/32.86 (((~nextState(constB182, constB183)) | (~v101(constB183)) | v1(constB183)) <=> (v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183)))),
% 49.76/32.86 inference(rewrite,[status(thm)],[])).
% 49.76/32.86 tff(23866,plain,
% 49.76/32.86 (((~![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))))),
% 49.76/32.86 inference(monotonicity,[status(thm)],[23865])).
% 49.76/32.86 tff(23867,plain,
% 49.76/32.86 (((~![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)))),
% 49.76/32.86 inference(transitivity,[status(thm)],[23866, 23864])).
% 49.76/32.86 tff(23868,plain,
% 49.76/32.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB182, constB183)) | (~v101(constB183)) | v1(constB183))),
% 49.76/32.86 inference(quant_inst,[status(thm)],[])).
% 49.76/32.86 tff(23869,plain,
% 49.76/32.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB183) | (~nextState(constB182, constB183)) | (~v101(constB183))),
% 49.76/32.86 inference(modus_ponens,[status(thm)],[23868, 23867])).
% 49.76/32.86 tff(23870,plain,
% 49.76/32.86 (~v101(constB183)),
% 49.76/32.86 inference(unit_resolution,[status(thm)],[23869, 49, 23863, 23860])).
% 49.76/32.86 tff(23871,plain,
% 49.76/32.86 (((~![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)))),
% 49.76/32.86 inference(rewrite,[status(thm)],[])).
% 49.76/32.86 tff(23872,plain,
% 49.76/32.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB182, constB183)) | v101(constB183) | (~v100(constB183)))),
% 49.76/32.86 inference(quant_inst,[status(thm)],[])).
% 49.76/32.86 tff(23873,plain,
% 49.76/32.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB182, constB183)) | v101(constB183) | (~v100(constB183))),
% 49.76/32.86 inference(modus_ponens,[status(thm)],[23872, 23871])).
% 49.76/32.86 tff(23874,plain,
% 49.76/32.86 (v101(constB183) | (~v100(constB183))),
% 49.76/32.86 inference(unit_resolution,[status(thm)],[23873, 66, 23863])).
% 49.76/32.86 tff(23875,plain,
% 49.76/32.86 (~v100(constB183)),
% 49.76/32.86 inference(unit_resolution,[status(thm)],[23874, 23870])).
% 49.76/32.86 tff(23876,plain,
% 49.76/32.86 (((~![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))),
% 49.76/32.86 inference(rewrite,[status(thm)],[])).
% 49.76/32.86 tff(23877,plain,
% 49.76/32.86 (((~nextState(constB182, constB183)) | (~v90(constB182, bitIndex2)) | v100(constB183) | v90(constB183, bitIndex2)) <=> ((~v90(constB182, bitIndex2)) | (~nextState(constB182, constB183)) | v100(constB183) | v90(constB183, bitIndex2))),
% 49.76/32.86 inference(rewrite,[status(thm)],[])).
% 49.76/32.86 tff(23878,plain,
% 49.76/32.86 (((~![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)))),
% 49.76/32.86 inference(monotonicity,[status(thm)],[23877])).
% 49.76/32.86 tff(23879,plain,
% 49.76/32.86 (((~![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))),
% 49.76/32.86 inference(transitivity,[status(thm)],[23878, 23876])).
% 49.76/32.86 tff(23880,plain,
% 49.76/32.86 ((~![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))),
% 49.76/32.86 inference(quant_inst,[status(thm)],[])).
% 49.76/32.86 tff(23881,plain,
% 49.76/32.86 ((~![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)),
% 49.76/32.86 inference(modus_ponens,[status(thm)],[23880, 23879])).
% 49.76/32.86 tff(23882,plain,
% 49.76/32.86 ((~v90(constB182, bitIndex2)) | v100(constB183) | v90(constB183, bitIndex2)),
% 49.76/32.86 inference(unit_resolution,[status(thm)],[23881, 417, 23863])).
% 49.76/32.86 tff(23883,plain,
% 49.76/32.86 ((~v90(constB182, bitIndex2)) | v90(constB183, bitIndex2)),
% 49.76/32.86 inference(unit_resolution,[status(thm)],[23882, 23875])).
% 49.76/32.86 tff(23884,plain,
% 49.76/32.86 (v90(constB183, bitIndex2)),
% 49.76/32.86 inference(unit_resolution,[status(thm)],[23883, 23857])).
% 49.76/32.86 tff(23885,plain,
% 49.76/32.86 (((~![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)))),
% 49.76/32.86 inference(rewrite,[status(thm)],[])).
% 49.76/32.86 tff(23886,plain,
% 49.76/32.86 (((~nextState(constB181, constB182)) | v90(constB181, bitIndex2) | v100(constB182) | (~v90(constB182, bitIndex2))) <=> (v90(constB181, bitIndex2) | (~nextState(constB181, constB182)) | v100(constB182) | (~v90(constB182, bitIndex2)))),
% 49.76/32.86 inference(rewrite,[status(thm)],[])).
% 49.76/32.86 tff(23887,plain,
% 49.76/32.86 (((~![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))))),
% 49.76/32.86 inference(monotonicity,[status(thm)],[23886])).
% 49.76/32.86 tff(23888,plain,
% 49.76/32.86 (((~![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)))),
% 49.76/32.86 inference(transitivity,[status(thm)],[23887, 23885])).
% 49.76/32.86 tff(23889,plain,
% 49.76/32.86 ((~![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)))),
% 49.76/32.86 inference(quant_inst,[status(thm)],[])).
% 49.76/32.86 tff(23890,plain,
% 49.76/32.86 ((~![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))),
% 49.76/32.86 inference(modus_ponens,[status(thm)],[23889, 23888])).
% 49.76/32.86 tff(23891,plain,
% 49.76/32.86 (v90(constB181, bitIndex2) | v100(constB182) | (~v90(constB182, bitIndex2))),
% 49.76/32.86 inference(unit_resolution,[status(thm)],[23890, 81, 23802])).
% 49.76/32.86 tff(23892,plain,
% 49.76/32.86 (v100(constB182)),
% 49.76/32.86 inference(unit_resolution,[status(thm)],[23891, 23857, 23683])).
% 49.76/32.86 tff(23893,plain,
% 49.76/32.86 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB181)) | (~v130(constB181, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB181)) | (~v130(constB181, bitIndex1)))),
% 49.76/32.86 inference(rewrite,[status(thm)],[])).
% 49.76/32.86 tff(23894,plain,
% 49.76/32.86 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB181)) | (~v130(constB181, bitIndex1)))),
% 49.76/32.86 inference(quant_inst,[status(thm)],[])).
% 49.76/32.86 tff(23895,plain,
% 49.76/32.86 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB181)) | (~v130(constB181, bitIndex1))),
% 49.76/32.86 inference(modus_ponens,[status(thm)],[23894, 23893])).
% 49.76/32.86 tff(23896,plain,
% 49.76/32.86 (~v130(constB181, bitIndex1)),
% 49.76/32.86 inference(unit_resolution,[status(thm)],[23895, 1935, 23762])).
% 49.76/32.86 tff(23897,plain,
% 49.76/32.86 (((~![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))),
% 49.76/32.86 inference(rewrite,[status(thm)],[])).
% 49.76/32.86 tff(23898,plain,
% 49.76/32.86 ((v26(constB181) | v130(constB181, bitIndex1) | (~v127(constB181, bitIndex1))) <=> ((~v127(constB181, bitIndex1)) | v26(constB181) | v130(constB181, bitIndex1))),
% 49.76/32.86 inference(rewrite,[status(thm)],[])).
% 49.76/32.86 tff(23899,plain,
% 49.76/32.86 (((~![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)))),
% 49.76/32.86 inference(monotonicity,[status(thm)],[23898])).
% 49.76/32.86 tff(23900,plain,
% 49.76/32.86 (((~![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))),
% 49.76/32.86 inference(transitivity,[status(thm)],[23899, 23897])).
% 49.76/32.86 tff(23901,plain,
% 49.76/32.86 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB181) | v130(constB181, bitIndex1) | (~v127(constB181, bitIndex1)))),
% 49.76/32.86 inference(quant_inst,[status(thm)],[])).
% 49.76/32.86 tff(23902,plain,
% 49.76/32.86 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB181, bitIndex1)) | v26(constB181) | v130(constB181, bitIndex1)),
% 49.76/32.87 inference(modus_ponens,[status(thm)],[23901, 23900])).
% 49.76/32.87 tff(23903,plain,
% 49.76/32.87 ((~v127(constB181, bitIndex1)) | v130(constB181, bitIndex1)),
% 49.76/32.87 inference(unit_resolution,[status(thm)],[23902, 450, 23786])).
% 49.76/32.87 tff(23904,plain,
% 49.76/32.87 (~v127(constB181, bitIndex1)),
% 49.76/32.87 inference(unit_resolution,[status(thm)],[23903, 23896])).
% 49.76/32.87 tff(23905,plain,
% 49.76/32.87 (((~![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)))),
% 49.76/32.87 inference(rewrite,[status(thm)],[])).
% 49.76/32.87 tff(23906,plain,
% 49.76/32.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB181, constB182)) | v127(constB181, bitIndex1) | (~v129(constB182, bitIndex1)))),
% 49.76/32.87 inference(quant_inst,[status(thm)],[])).
% 49.76/32.87 tff(23907,plain,
% 49.76/32.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB181, constB182)) | v127(constB181, bitIndex1) | (~v129(constB182, bitIndex1))),
% 49.76/32.87 inference(modus_ponens,[status(thm)],[23906, 23905])).
% 49.76/32.87 tff(23908,plain,
% 49.76/32.87 (v127(constB181, bitIndex1) | (~v129(constB182, bitIndex1))),
% 49.76/32.87 inference(unit_resolution,[status(thm)],[23907, 468, 23802])).
% 49.76/32.87 tff(23909,plain,
% 49.76/32.87 (~v129(constB182, bitIndex1)),
% 49.76/32.87 inference(unit_resolution,[status(thm)],[23908, 23904])).
% 49.76/32.87 tff(23910,plain,
% 49.76/32.87 (((~![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)))),
% 49.76/32.87 inference(rewrite,[status(thm)],[])).
% 49.76/32.87 tff(23911,plain,
% 49.76/32.87 (((~v90(constB182, bitIndex1)) | (~v100(constB182)) | v129(constB182, bitIndex1)) <=> ((~v90(constB182, bitIndex1)) | v129(constB182, bitIndex1) | (~v100(constB182)))),
% 49.76/32.87 inference(rewrite,[status(thm)],[])).
% 49.76/32.87 tff(23912,plain,
% 49.76/32.87 (((~![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))))),
% 49.76/32.87 inference(monotonicity,[status(thm)],[23911])).
% 49.76/32.87 tff(23913,plain,
% 49.76/32.87 (((~![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)))),
% 49.76/32.87 inference(transitivity,[status(thm)],[23912, 23910])).
% 49.76/32.87 tff(23914,plain,
% 49.76/32.87 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB182, bitIndex1)) | (~v100(constB182)) | v129(constB182, bitIndex1))),
% 49.76/32.87 inference(quant_inst,[status(thm)],[])).
% 49.76/32.87 tff(23915,plain,
% 49.76/32.87 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB182, bitIndex1)) | v129(constB182, bitIndex1) | (~v100(constB182))),
% 49.76/32.87 inference(modus_ponens,[status(thm)],[23914, 23913])).
% 49.76/32.87 tff(23916,plain,
% 49.76/32.87 ((~v90(constB182, bitIndex1)) | (~v100(constB182))),
% 49.76/32.87 inference(unit_resolution,[status(thm)],[23915, 483, 23909])).
% 49.76/32.87 tff(23917,plain,
% 49.76/32.87 (~v90(constB182, bitIndex1)),
% 49.76/32.87 inference(unit_resolution,[status(thm)],[23916, 23892])).
% 49.76/32.87 tff(23918,plain,
% 49.76/32.87 (((~![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)))),
% 49.76/32.87 inference(rewrite,[status(thm)],[])).
% 49.76/32.87 tff(23919,plain,
% 49.76/32.87 (((~nextState(constB182, constB183)) | v90(constB182, bitIndex1) | v100(constB183) | (~v90(constB183, bitIndex1))) <=> (v90(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex1)))),
% 49.76/32.87 inference(rewrite,[status(thm)],[])).
% 49.76/32.87 tff(23920,plain,
% 49.76/32.87 (((~![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))))),
% 49.76/32.87 inference(monotonicity,[status(thm)],[23919])).
% 49.76/32.87 tff(23921,plain,
% 49.76/32.87 (((~![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)))),
% 49.76/32.87 inference(transitivity,[status(thm)],[23920, 23918])).
% 49.76/32.87 tff(23922,plain,
% 49.76/32.87 ((~![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)))),
% 49.76/32.87 inference(quant_inst,[status(thm)],[])).
% 49.76/32.87 tff(23923,plain,
% 49.76/32.87 ((~![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))),
% 49.76/32.87 inference(modus_ponens,[status(thm)],[23922, 23921])).
% 49.76/32.87 tff(23924,plain,
% 49.76/32.87 (v90(constB182, bitIndex1) | v100(constB183) | (~v90(constB183, bitIndex1))),
% 49.76/32.87 inference(unit_resolution,[status(thm)],[23923, 102, 23863])).
% 49.76/32.87 tff(23925,plain,
% 49.76/32.87 (v90(constB182, bitIndex1) | (~v90(constB183, bitIndex1))),
% 49.76/32.87 inference(unit_resolution,[status(thm)],[23924, 23875])).
% 49.76/32.87 tff(23926,plain,
% 49.76/32.87 (~v90(constB183, bitIndex1)),
% 49.76/32.87 inference(unit_resolution,[status(thm)],[23925, 23917])).
% 49.76/32.87 tff(23927,plain,
% 49.76/32.87 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB181)) | (~v130(constB181, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB181)) | (~v130(constB181, bitIndex0)))),
% 49.76/32.87 inference(rewrite,[status(thm)],[])).
% 49.76/32.87 tff(23928,plain,
% 49.76/32.87 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB181)) | (~v130(constB181, bitIndex0)))),
% 49.76/32.87 inference(quant_inst,[status(thm)],[])).
% 49.76/32.87 tff(23929,plain,
% 49.76/32.87 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB181)) | (~v130(constB181, bitIndex0))),
% 49.76/32.87 inference(modus_ponens,[status(thm)],[23928, 23927])).
% 49.76/32.87 tff(23930,plain,
% 49.76/32.87 (~v130(constB181, bitIndex0)),
% 49.76/32.87 inference(unit_resolution,[status(thm)],[23929, 1997, 23762])).
% 49.76/32.87 tff(23931,plain,
% 49.76/32.87 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB181, bitIndex0)) | v26(constB181) | v130(constB181, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB181, bitIndex0)) | v26(constB181) | v130(constB181, bitIndex0))),
% 49.76/32.87 inference(rewrite,[status(thm)],[])).
% 49.76/32.87 tff(23932,plain,
% 49.76/32.87 ((v26(constB181) | v130(constB181, bitIndex0) | (~v127(constB181, bitIndex0))) <=> ((~v127(constB181, bitIndex0)) | v26(constB181) | v130(constB181, bitIndex0))),
% 49.76/32.87 inference(rewrite,[status(thm)],[])).
% 49.76/32.87 tff(23933,plain,
% 49.76/32.87 (((~![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)))) | ((~v127(constB181, bitIndex0)) | v26(constB181) | v130(constB181, bitIndex0)))),
% 49.76/32.87 inference(monotonicity,[status(thm)],[23932])).
% 49.76/32.87 tff(23934,plain,
% 49.76/32.87 (((~![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)))) | (~v127(constB181, bitIndex0)) | v26(constB181) | v130(constB181, bitIndex0))),
% 49.76/32.87 inference(transitivity,[status(thm)],[23933, 23931])).
% 49.76/32.87 tff(23935,plain,
% 49.76/32.87 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB181) | v130(constB181, bitIndex0) | (~v127(constB181, bitIndex0)))),
% 49.76/32.87 inference(quant_inst,[status(thm)],[])).
% 49.76/32.87 tff(23936,plain,
% 49.76/32.87 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB181, bitIndex0)) | v26(constB181) | v130(constB181, bitIndex0)),
% 49.76/32.87 inference(modus_ponens,[status(thm)],[23935, 23934])).
% 49.76/32.87 tff(23937,plain,
% 49.76/32.87 ((~v127(constB181, bitIndex0)) | v130(constB181, bitIndex0)),
% 49.76/32.87 inference(unit_resolution,[status(thm)],[23936, 524, 23786])).
% 49.76/32.87 tff(23938,plain,
% 49.76/32.87 (~v127(constB181, bitIndex0)),
% 49.76/32.87 inference(unit_resolution,[status(thm)],[23937, 23930])).
% 49.76/32.87 tff(23939,plain,
% 49.76/32.87 (((~![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)))),
% 49.76/32.87 inference(rewrite,[status(thm)],[])).
% 49.76/32.87 tff(23940,plain,
% 49.76/32.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB181, constB182)) | v127(constB181, bitIndex0) | (~v129(constB182, bitIndex0)))),
% 49.76/32.87 inference(quant_inst,[status(thm)],[])).
% 49.76/32.87 tff(23941,plain,
% 49.76/32.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB181, constB182)) | v127(constB181, bitIndex0) | (~v129(constB182, bitIndex0))),
% 49.76/32.87 inference(modus_ponens,[status(thm)],[23940, 23939])).
% 49.76/32.87 tff(23942,plain,
% 49.76/32.87 (v127(constB181, bitIndex0) | (~v129(constB182, bitIndex0))),
% 49.76/32.87 inference(unit_resolution,[status(thm)],[23941, 542, 23802])).
% 49.76/32.87 tff(23943,plain,
% 49.76/32.87 (~v129(constB182, bitIndex0)),
% 49.76/32.87 inference(unit_resolution,[status(thm)],[23942, 23938])).
% 49.76/32.87 tff(23944,plain,
% 49.76/32.87 (((~![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)))),
% 49.76/32.87 inference(rewrite,[status(thm)],[])).
% 49.76/32.87 tff(23945,plain,
% 49.76/32.87 (((~v90(constB182, bitIndex0)) | (~v100(constB182)) | v129(constB182, bitIndex0)) <=> ((~v90(constB182, bitIndex0)) | v129(constB182, bitIndex0) | (~v100(constB182)))),
% 49.76/32.87 inference(rewrite,[status(thm)],[])).
% 49.76/32.87 tff(23946,plain,
% 49.76/32.87 (((~![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))))),
% 49.76/32.87 inference(monotonicity,[status(thm)],[23945])).
% 49.76/32.87 tff(23947,plain,
% 49.76/32.87 (((~![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)))),
% 49.76/32.87 inference(transitivity,[status(thm)],[23946, 23944])).
% 49.76/32.87 tff(23948,plain,
% 49.76/32.87 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB182, bitIndex0)) | (~v100(constB182)) | v129(constB182, bitIndex0))),
% 49.76/32.87 inference(quant_inst,[status(thm)],[])).
% 49.76/32.87 tff(23949,plain,
% 49.76/32.87 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB182, bitIndex0)) | v129(constB182, bitIndex0) | (~v100(constB182))),
% 49.76/32.87 inference(modus_ponens,[status(thm)],[23948, 23947])).
% 49.76/32.87 tff(23950,plain,
% 49.76/32.87 ((~v90(constB182, bitIndex0)) | (~v100(constB182))),
% 49.76/32.87 inference(unit_resolution,[status(thm)],[23949, 557, 23943])).
% 49.76/32.87 tff(23951,plain,
% 49.76/32.87 (~v90(constB182, bitIndex0)),
% 49.76/32.87 inference(unit_resolution,[status(thm)],[23950, 23892])).
% 49.76/32.87 tff(23952,plain,
% 49.76/32.87 (((~![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)))),
% 49.76/32.87 inference(rewrite,[status(thm)],[])).
% 49.76/32.87 tff(23953,plain,
% 49.76/32.87 (((~nextState(constB182, constB183)) | v90(constB182, bitIndex0) | v100(constB183) | (~v90(constB183, bitIndex0))) <=> (v90(constB182, bitIndex0) | (~nextState(constB182, constB183)) | v100(constB183) | (~v90(constB183, bitIndex0)))),
% 49.76/32.87 inference(rewrite,[status(thm)],[])).
% 49.76/32.87 tff(23954,plain,
% 49.76/32.87 (((~![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))))),
% 49.76/32.87 inference(monotonicity,[status(thm)],[23953])).
% 49.76/32.87 tff(23955,plain,
% 49.76/32.87 (((~![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)))),
% 49.76/32.87 inference(transitivity,[status(thm)],[23954, 23952])).
% 49.76/32.87 tff(23956,plain,
% 49.76/32.87 ((~![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)))),
% 49.76/32.87 inference(quant_inst,[status(thm)],[])).
% 49.76/32.87 tff(23957,plain,
% 49.76/32.87 ((~![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))),
% 49.76/32.87 inference(modus_ponens,[status(thm)],[23956, 23955])).
% 49.76/32.87 tff(23958,plain,
% 49.76/32.87 (v90(constB182, bitIndex0) | v100(constB183) | (~v90(constB183, bitIndex0))),
% 49.76/32.87 inference(unit_resolution,[status(thm)],[23957, 123, 23863])).
% 49.76/32.87 tff(23959,plain,
% 49.76/32.87 (v90(constB182, bitIndex0) | (~v90(constB183, bitIndex0))),
% 49.76/32.87 inference(unit_resolution,[status(thm)],[23958, 23875])).
% 49.76/32.87 tff(23960,plain,
% 49.76/32.87 (~v90(constB183, bitIndex0)),
% 49.76/32.87 inference(unit_resolution,[status(thm)],[23959, 23951])).
% 49.76/32.87 tff(23961,plain,
% 49.76/32.87 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB183, bitIndex0) | v90(constB183, bitIndex1) | (~v90(constB183, bitIndex2)) | v123(constB183))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB183, bitIndex0) | v90(constB183, bitIndex1) | (~v90(constB183, bitIndex2)) | v123(constB183))),
% 49.76/32.87 inference(rewrite,[status(thm)],[])).
% 49.76/32.87 tff(23962,plain,
% 49.76/32.87 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB183, bitIndex0) | v90(constB183, bitIndex1) | (~v90(constB183, bitIndex2)) | v123(constB183))),
% 49.76/32.87 inference(quant_inst,[status(thm)],[])).
% 49.76/32.87 tff(23963,plain,
% 49.76/32.87 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB183, bitIndex0) | v90(constB183, bitIndex1) | (~v90(constB183, bitIndex2)) | v123(constB183)),
% 49.76/32.87 inference(modus_ponens,[status(thm)],[23962, 23961])).
% 49.76/32.87 tff(23964,plain,
% 49.76/32.87 (v123(constB183)),
% 49.76/32.87 inference(unit_resolution,[status(thm)],[23963, 584, 23960, 23926, 23884])).
% 49.76/32.87 tff(23965,plain,
% 49.76/32.87 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB183)) | v130(constB183, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB183)) | v130(constB183, bitIndex1))),
% 49.76/32.87 inference(rewrite,[status(thm)],[])).
% 49.76/32.87 tff(23966,plain,
% 49.76/32.87 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB183)) | v130(constB183, bitIndex1))),
% 49.76/32.87 inference(quant_inst,[status(thm)],[])).
% 49.76/32.87 tff(23967,plain,
% 49.76/32.87 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB183)) | v130(constB183, bitIndex1)),
% 49.76/32.87 inference(modus_ponens,[status(thm)],[23966, 23965])).
% 49.76/32.87 tff(23968,plain,
% 49.76/32.87 (v130(constB183, bitIndex1)),
% 49.76/32.87 inference(unit_resolution,[status(thm)],[23967, 667, 23964])).
% 49.76/32.87 tff(23969,plain,
% 49.76/32.87 (((~![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))),
% 49.76/32.87 inference(rewrite,[status(thm)],[])).
% 49.76/32.87 tff(23970,plain,
% 49.76/32.87 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB183) | (~v130(constB183, bitIndex1)) | v127(constB183, bitIndex1))),
% 49.76/32.87 inference(quant_inst,[status(thm)],[])).
% 49.76/32.87 tff(23971,plain,
% 49.76/32.87 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB183) | (~v130(constB183, bitIndex1)) | v127(constB183, bitIndex1)),
% 49.76/32.87 inference(modus_ponens,[status(thm)],[23970, 23969])).
% 49.76/32.87 tff(23972,plain,
% 49.76/32.87 (v26(constB183) | v127(constB183, bitIndex1)),
% 49.76/32.87 inference(unit_resolution,[status(thm)],[23971, 681, 23968])).
% 49.76/32.87 tff(23973,plain,
% 49.76/32.87 (v127(constB183, bitIndex1)),
% 49.76/32.87 inference(unit_resolution,[status(thm)],[23972, 18398])).
% 49.76/32.87 tff(23974,plain,
% 49.76/32.87 (nextState(constB183, constB184) <=> nextState(constB183, constB184)),
% 49.76/32.87 inference(rewrite,[status(thm)],[])).
% 49.76/32.87 tff(23975,axiom,(nextState(constB183, constB184)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_183_1')).
% 49.76/32.87 tff(23976,plain,
% 49.76/32.87 (nextState(constB183, constB184)),
% 49.76/32.87 inference(modus_ponens,[status(thm)],[23975, 23974])).
% 49.76/32.87 tff(23977,plain,
% 49.76/32.87 (((~![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))),
% 49.76/32.87 inference(rewrite,[status(thm)],[])).
% 49.76/32.87 tff(23978,plain,
% 49.76/32.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB183, constB184)) | (~v127(constB183, bitIndex1)) | v129(constB184, bitIndex1))),
% 49.76/32.87 inference(quant_inst,[status(thm)],[])).
% 49.76/32.87 tff(23979,plain,
% 49.76/32.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB183, constB184)) | (~v127(constB183, bitIndex1)) | v129(constB184, bitIndex1)),
% 49.76/32.87 inference(modus_ponens,[status(thm)],[23978, 23977])).
% 49.76/32.87 tff(23980,plain,
% 49.76/32.87 ((~v127(constB183, bitIndex1)) | v129(constB184, bitIndex1)),
% 49.76/32.87 inference(unit_resolution,[status(thm)],[23979, 696, 23976])).
% 49.76/32.87 tff(23981,plain,
% 49.76/32.87 (v129(constB184, bitIndex1)),
% 49.76/32.87 inference(unit_resolution,[status(thm)],[23980, 23973])).
% 49.76/32.87 tff(23982,plain,
% 49.76/32.87 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB183) | (~v123(constB183)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB183) | (~v123(constB183)))),
% 49.76/32.87 inference(rewrite,[status(thm)],[])).
% 49.76/32.87 tff(23983,plain,
% 49.76/32.87 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB183) | (~v123(constB183)))),
% 49.76/32.87 inference(quant_inst,[status(thm)],[])).
% 49.76/32.87 tff(23984,plain,
% 49.76/32.87 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB183) | (~v123(constB183))),
% 49.76/32.87 inference(modus_ponens,[status(thm)],[23983, 23982])).
% 49.76/32.87 tff(23985,plain,
% 49.76/32.87 (v115(constB183)),
% 49.76/32.87 inference(unit_resolution,[status(thm)],[23984, 595, 23964])).
% 49.76/32.87 tff(23986,plain,
% 49.76/32.87 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB183) | (~v115(constB183)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB183) | (~v115(constB183)))),
% 49.76/32.87 inference(rewrite,[status(thm)],[])).
% 49.76/32.87 tff(23987,plain,
% 49.76/32.87 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB183) | (~v115(constB183)))),
% 49.76/32.87 inference(quant_inst,[status(thm)],[])).
% 49.76/32.87 tff(23988,plain,
% 49.76/32.87 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB183) | (~v115(constB183))),
% 49.76/32.87 inference(modus_ponens,[status(thm)],[23987, 23986])).
% 49.76/32.87 tff(23989,plain,
% 49.76/32.87 (v114(constB183)),
% 49.76/32.87 inference(unit_resolution,[status(thm)],[23988, 199, 23985])).
% 49.76/32.87 tff(23990,plain,
% 49.76/32.87 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB183) | (~v114(constB183)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB183) | (~v114(constB183)))),
% 49.76/32.87 inference(rewrite,[status(thm)],[])).
% 49.76/32.87 tff(23991,plain,
% 49.76/32.87 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB183) | (~v114(constB183)))),
% 49.76/32.87 inference(quant_inst,[status(thm)],[])).
% 49.76/32.87 tff(23992,plain,
% 49.76/32.87 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB183) | (~v114(constB183))),
% 49.76/32.87 inference(modus_ponens,[status(thm)],[23991, 23990])).
% 49.76/32.87 tff(23993,plain,
% 49.76/32.87 (v113(constB183)),
% 49.76/32.87 inference(unit_resolution,[status(thm)],[23992, 210, 23989])).
% 49.76/32.87 tff(23994,assumption,(~v108(constB183)), introduced(assumption)).
% 49.76/32.87 tff(23995,plain,
% 49.76/32.87 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB183) | (~v112(constB183)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB183) | (~v112(constB183)))),
% 49.76/32.87 inference(rewrite,[status(thm)],[])).
% 49.76/32.87 tff(23996,plain,
% 49.76/32.87 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB183) | (~v112(constB183)))),
% 49.76/32.87 inference(quant_inst,[status(thm)],[])).
% 49.76/32.87 tff(23997,plain,
% 49.76/32.87 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB183) | (~v112(constB183))),
% 49.76/32.87 inference(modus_ponens,[status(thm)],[23996, 23995])).
% 49.76/32.87 tff(23998,plain,
% 49.76/32.87 (~v112(constB183)),
% 49.76/32.87 inference(unit_resolution,[status(thm)],[23997, 236, 23994])).
% 49.76/32.87 tff(23999,plain,
% 49.76/32.87 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB183) | (~v26(constB183)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB183) | (~v26(constB183)))),
% 49.76/32.87 inference(rewrite,[status(thm)],[])).
% 49.76/32.87 tff(24000,plain,
% 49.76/32.87 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB183) | (~v26(constB183)))),
% 49.76/32.87 inference(quant_inst,[status(thm)],[])).
% 49.76/32.87 tff(24001,plain,
% 49.76/32.87 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB183) | (~v26(constB183))),
% 49.76/32.87 inference(modus_ponens,[status(thm)],[24000, 23999])).
% 49.76/32.87 tff(24002,plain,
% 49.76/32.87 (~v26(constB183)),
% 49.76/32.87 inference(unit_resolution,[status(thm)],[24001, 961, 23994])).
% 49.76/32.87 tff(24003,assumption,(v113(constB183)), introduced(assumption)).
% 49.76/32.87 tff(24004,plain,
% 49.76/32.87 (((~![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))),
% 49.76/32.87 inference(rewrite,[status(thm)],[])).
% 49.76/32.87 tff(24005,plain,
% 49.76/32.87 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB183) | (~v113(constB183)) | v112(constB183))),
% 49.76/32.87 inference(quant_inst,[status(thm)],[])).
% 49.76/32.87 tff(24006,plain,
% 49.76/32.87 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB183) | (~v113(constB183)) | v112(constB183)),
% 49.76/32.87 inference(modus_ponens,[status(thm)],[24005, 24004])).
% 49.76/32.87 tff(24007,plain,
% 49.76/32.87 (v26(constB183) | v112(constB183)),
% 49.76/32.87 inference(unit_resolution,[status(thm)],[24006, 224, 24003])).
% 49.76/32.87 tff(24008,plain,
% 49.76/32.87 ($false),
% 49.76/32.87 inference(unit_resolution,[status(thm)],[24007, 24002, 23998])).
% 49.76/32.87 tff(24009,plain,(v108(constB183) | (~v113(constB183))), inference(lemma,lemma(discharge,[]))).
% 49.76/32.87 tff(24010,plain,
% 49.76/32.87 (v108(constB183)),
% 49.76/32.87 inference(unit_resolution,[status(thm)],[24009, 23993])).
% 49.76/32.87 tff(24011,plain,
% 49.76/32.87 (((~![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)))),
% 49.76/32.87 inference(rewrite,[status(thm)],[])).
% 49.76/32.87 tff(24012,plain,
% 49.76/32.87 (((~nextState(constB183, constB184)) | (~v108(constB183)) | v110(constB184)) <=> ((~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183)))),
% 49.76/32.87 inference(rewrite,[status(thm)],[])).
% 49.76/32.87 tff(24013,plain,
% 49.76/32.87 (((~![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))))),
% 49.76/32.87 inference(monotonicity,[status(thm)],[24012])).
% 49.76/32.87 tff(24014,plain,
% 49.76/32.87 (((~![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)))),
% 49.76/32.87 inference(transitivity,[status(thm)],[24013, 24011])).
% 49.76/32.87 tff(24015,plain,
% 49.76/32.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB183, constB184)) | (~v108(constB183)) | v110(constB184))),
% 49.76/32.87 inference(quant_inst,[status(thm)],[])).
% 49.76/32.87 tff(24016,plain,
% 49.76/32.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB183, constB184)) | v110(constB184) | (~v108(constB183))),
% 49.76/32.87 inference(modus_ponens,[status(thm)],[24015, 24014])).
% 49.76/32.87 tff(24017,plain,
% 49.76/32.87 (v110(constB184) | (~v108(constB183))),
% 49.76/32.87 inference(unit_resolution,[status(thm)],[24016, 253, 23976])).
% 49.76/32.87 tff(24018,plain,
% 49.76/32.87 (v110(constB184)),
% 49.76/32.87 inference(unit_resolution,[status(thm)],[24017, 24010])).
% 49.76/32.87 tff(24019,plain,
% 49.76/32.87 (((~![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)))),
% 49.76/32.87 inference(rewrite,[status(thm)],[])).
% 49.76/32.87 tff(24020,plain,
% 49.76/32.87 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB183) | (~nextState(constB183, constB184)) | (~v104(constB184)))),
% 49.76/32.87 inference(quant_inst,[status(thm)],[])).
% 49.76/32.87 tff(24021,plain,
% 49.76/32.87 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB183) | (~nextState(constB183, constB184)) | (~v104(constB184))),
% 49.76/32.87 inference(modus_ponens,[status(thm)],[24020, 24019])).
% 49.76/32.87 tff(24022,plain,
% 49.76/32.87 (~v104(constB184)),
% 49.76/32.87 inference(unit_resolution,[status(thm)],[24021, 271, 23976, 23860])).
% 49.76/32.87 tff(24023,plain,
% 49.76/32.87 (((~![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))),
% 49.76/32.87 inference(rewrite,[status(thm)],[])).
% 49.76/32.87 tff(24024,plain,
% 49.76/32.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB183, constB184)) | v102(constB184) | v104(constB184))),
% 49.76/32.87 inference(quant_inst,[status(thm)],[])).
% 49.76/32.87 tff(24025,plain,
% 49.76/32.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB183, constB184)) | v102(constB184) | v104(constB184)),
% 49.76/32.87 inference(modus_ponens,[status(thm)],[24024, 24023])).
% 49.76/32.87 tff(24026,plain,
% 49.76/32.87 (v102(constB184) | v104(constB184)),
% 49.76/32.87 inference(unit_resolution,[status(thm)],[24025, 285, 23976])).
% 49.76/32.87 tff(24027,plain,
% 49.76/32.87 (v102(constB184)),
% 49.76/32.87 inference(unit_resolution,[status(thm)],[24026, 24022])).
% 49.76/32.87 tff(24028,plain,
% 49.76/32.87 (v1(constB184) <=> v1(constB184)),
% 49.76/32.87 inference(rewrite,[status(thm)],[])).
% 49.76/32.87 tff(24029,axiom,(v1(constB184)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_184_1')).
% 49.76/32.87 tff(24030,plain,
% 49.76/32.87 (v1(constB184)),
% 49.76/32.87 inference(modus_ponens,[status(thm)],[24029, 24028])).
% 49.76/32.87 tff(24031,plain,
% 49.76/32.87 (((~![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)))),
% 49.76/32.87 inference(rewrite,[status(thm)],[])).
% 49.76/32.87 tff(24032,plain,
% 49.76/32.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB183, constB184)) | v101(constB184) | (~v102(constB184)) | (~v1(constB184)))),
% 49.76/32.87 inference(quant_inst,[status(thm)],[])).
% 49.76/32.87 tff(24033,plain,
% 49.76/32.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB183, constB184)) | v101(constB184) | (~v102(constB184)) | (~v1(constB184))),
% 49.76/32.87 inference(modus_ponens,[status(thm)],[24032, 24031])).
% 49.76/32.87 tff(24034,plain,
% 49.76/32.87 (v101(constB184) | (~v102(constB184))),
% 49.76/32.87 inference(unit_resolution,[status(thm)],[24033, 303, 23976, 24030])).
% 49.76/32.87 tff(24035,plain,
% 49.76/32.87 (v101(constB184)),
% 49.76/32.87 inference(unit_resolution,[status(thm)],[24034, 24027])).
% 49.76/32.87 tff(24036,plain,
% 49.76/32.87 (((~![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)))),
% 49.76/32.87 inference(rewrite,[status(thm)],[])).
% 49.76/32.87 tff(24037,plain,
% 49.76/32.87 (((~nextState(constB183, constB184)) | (~v101(constB184)) | (~v110(constB184)) | v100(constB184)) <=> ((~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184)))),
% 49.76/32.88 inference(rewrite,[status(thm)],[])).
% 49.76/32.88 tff(24038,plain,
% 49.76/32.88 (((~![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))))),
% 49.76/32.88 inference(monotonicity,[status(thm)],[24037])).
% 49.76/32.88 tff(24039,plain,
% 49.76/32.88 (((~![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)))),
% 49.76/32.88 inference(transitivity,[status(thm)],[24038, 24036])).
% 49.76/32.88 tff(24040,plain,
% 49.76/32.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB183, constB184)) | (~v101(constB184)) | (~v110(constB184)) | v100(constB184))),
% 49.76/32.88 inference(quant_inst,[status(thm)],[])).
% 49.76/32.88 tff(24041,plain,
% 49.76/32.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB183, constB184)) | v100(constB184) | (~v101(constB184)) | (~v110(constB184))),
% 49.76/32.88 inference(modus_ponens,[status(thm)],[24040, 24039])).
% 49.76/32.88 tff(24042,plain,
% 49.76/32.88 (v100(constB184) | (~v101(constB184)) | (~v110(constB184))),
% 49.76/32.88 inference(unit_resolution,[status(thm)],[24041, 318, 23976])).
% 49.76/32.88 tff(24043,plain,
% 49.76/32.88 (v100(constB184) | (~v110(constB184))),
% 49.76/32.88 inference(unit_resolution,[status(thm)],[24042, 24035])).
% 49.76/32.88 tff(24044,plain,
% 49.76/32.88 (v100(constB184)),
% 49.76/32.88 inference(unit_resolution,[status(thm)],[24043, 24018])).
% 49.76/32.88 tff(24045,plain,
% 49.76/32.88 (((~![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)))),
% 49.76/32.88 inference(rewrite,[status(thm)],[])).
% 49.76/32.88 tff(24046,plain,
% 49.76/32.88 ((v90(constB184, bitIndex1) | (~v100(constB184)) | (~v129(constB184, bitIndex1))) <=> (v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1)) | (~v100(constB184)))),
% 49.76/32.88 inference(rewrite,[status(thm)],[])).
% 49.76/32.88 tff(24047,plain,
% 49.76/32.88 (((~![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))))),
% 49.76/32.88 inference(monotonicity,[status(thm)],[24046])).
% 49.76/32.88 tff(24048,plain,
% 49.76/32.88 (((~![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)))),
% 49.76/32.88 inference(transitivity,[status(thm)],[24047, 24045])).
% 49.76/32.88 tff(24049,plain,
% 49.76/32.88 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB184, bitIndex1) | (~v100(constB184)) | (~v129(constB184, bitIndex1)))),
% 49.76/32.88 inference(quant_inst,[status(thm)],[])).
% 49.76/32.88 tff(24050,plain,
% 49.76/32.88 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1)) | (~v100(constB184))),
% 49.76/32.88 inference(modus_ponens,[status(thm)],[24049, 24048])).
% 49.76/32.88 tff(24051,plain,
% 49.76/32.88 (v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1))),
% 49.76/32.88 inference(unit_resolution,[status(thm)],[24050, 711, 24044])).
% 49.76/32.88 tff(24052,plain,
% 49.76/32.88 (v90(constB184, bitIndex1)),
% 49.76/32.88 inference(unit_resolution,[status(thm)],[24051, 23981])).
% 49.76/32.88 tff(24053,plain,
% 49.76/32.88 ((~v1(constB185)) <=> (~v1(constB185))),
% 49.76/32.88 inference(rewrite,[status(thm)],[])).
% 49.76/32.88 tff(24054,axiom,(~v1(constB185)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_185_1_1')).
% 49.76/32.88 tff(24055,plain,
% 49.76/32.88 (~v1(constB185)),
% 49.76/32.88 inference(modus_ponens,[status(thm)],[24054, 24053])).
% 49.76/32.88 tff(24056,plain,
% 49.76/32.88 (nextState(constB184, constB185) <=> nextState(constB184, constB185)),
% 49.76/32.88 inference(rewrite,[status(thm)],[])).
% 49.76/32.88 tff(24057,axiom,(nextState(constB184, constB185)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_184_1')).
% 49.76/32.88 tff(24058,plain,
% 49.76/32.88 (nextState(constB184, constB185)),
% 49.76/32.88 inference(modus_ponens,[status(thm)],[24057, 24056])).
% 49.76/32.88 tff(24059,plain,
% 49.76/32.88 (((~![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)))),
% 49.76/32.88 inference(rewrite,[status(thm)],[])).
% 49.76/32.88 tff(24060,plain,
% 49.76/32.88 (((~nextState(constB184, constB185)) | (~v101(constB185)) | v1(constB185)) <=> (v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185)))),
% 49.76/32.88 inference(rewrite,[status(thm)],[])).
% 49.76/32.88 tff(24061,plain,
% 49.76/32.88 (((~![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))))),
% 49.76/32.88 inference(monotonicity,[status(thm)],[24060])).
% 49.76/32.88 tff(24062,plain,
% 49.76/32.88 (((~![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)))),
% 49.76/32.88 inference(transitivity,[status(thm)],[24061, 24059])).
% 49.76/32.88 tff(24063,plain,
% 49.76/32.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB184, constB185)) | (~v101(constB185)) | v1(constB185))),
% 49.76/32.88 inference(quant_inst,[status(thm)],[])).
% 49.76/32.88 tff(24064,plain,
% 49.76/32.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB185) | (~nextState(constB184, constB185)) | (~v101(constB185))),
% 49.76/32.88 inference(modus_ponens,[status(thm)],[24063, 24062])).
% 49.76/32.88 tff(24065,plain,
% 49.76/32.88 (~v101(constB185)),
% 49.76/32.88 inference(unit_resolution,[status(thm)],[24064, 49, 24058, 24055])).
% 49.76/32.88 tff(24066,plain,
% 49.76/32.88 (((~![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)))),
% 49.76/32.88 inference(rewrite,[status(thm)],[])).
% 49.76/32.88 tff(24067,plain,
% 49.76/32.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB184, constB185)) | v101(constB185) | (~v100(constB185)))),
% 49.76/32.88 inference(quant_inst,[status(thm)],[])).
% 49.76/32.88 tff(24068,plain,
% 49.76/32.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB184, constB185)) | v101(constB185) | (~v100(constB185))),
% 49.76/32.88 inference(modus_ponens,[status(thm)],[24067, 24066])).
% 49.76/32.88 tff(24069,plain,
% 49.76/32.88 (v101(constB185) | (~v100(constB185))),
% 49.76/32.88 inference(unit_resolution,[status(thm)],[24068, 66, 24058])).
% 49.76/32.88 tff(24070,plain,
% 49.76/32.88 (~v100(constB185)),
% 49.76/32.88 inference(unit_resolution,[status(thm)],[24069, 24065])).
% 49.76/32.88 tff(24071,plain,
% 49.76/32.88 (((~![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))),
% 49.76/32.88 inference(rewrite,[status(thm)],[])).
% 49.76/32.88 tff(24072,plain,
% 49.76/32.88 (((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex1)) | v100(constB185) | v90(constB185, bitIndex1)) <=> ((~v90(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex1))),
% 49.76/32.88 inference(rewrite,[status(thm)],[])).
% 49.76/32.88 tff(24073,plain,
% 49.76/32.88 (((~![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)))),
% 49.76/32.88 inference(monotonicity,[status(thm)],[24072])).
% 49.76/32.88 tff(24074,plain,
% 49.76/32.88 (((~![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))),
% 49.76/32.88 inference(transitivity,[status(thm)],[24073, 24071])).
% 49.76/32.88 tff(24075,plain,
% 49.76/32.88 ((~![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))),
% 49.76/32.88 inference(quant_inst,[status(thm)],[])).
% 49.76/32.88 tff(24076,plain,
% 49.76/32.88 ((~![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)),
% 49.76/32.88 inference(modus_ponens,[status(thm)],[24075, 24074])).
% 49.76/32.88 tff(24077,plain,
% 49.76/32.88 ((~v90(constB184, bitIndex1)) | v100(constB185) | v90(constB185, bitIndex1)),
% 49.76/32.88 inference(unit_resolution,[status(thm)],[24076, 747, 24058])).
% 49.76/32.88 tff(24078,plain,
% 49.76/32.88 ((~v90(constB184, bitIndex1)) | v90(constB185, bitIndex1)),
% 49.76/32.88 inference(unit_resolution,[status(thm)],[24077, 24070])).
% 49.76/32.88 tff(24079,plain,
% 49.76/32.88 (v90(constB185, bitIndex1)),
% 49.76/32.88 inference(unit_resolution,[status(thm)],[24078, 24052])).
% 49.76/32.88 tff(24080,plain,
% 49.76/32.88 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB183)) | v130(constB183, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB183)) | v130(constB183, bitIndex2))),
% 49.76/32.88 inference(rewrite,[status(thm)],[])).
% 49.76/32.88 tff(24081,plain,
% 49.76/32.88 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB183)) | v130(constB183, bitIndex2))),
% 49.76/32.88 inference(quant_inst,[status(thm)],[])).
% 49.76/32.88 tff(24082,plain,
% 49.76/32.88 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB183)) | v130(constB183, bitIndex2)),
% 49.76/32.88 inference(modus_ponens,[status(thm)],[24081, 24080])).
% 49.76/32.88 tff(24083,plain,
% 49.76/32.88 (v130(constB183, bitIndex2)),
% 49.76/32.88 inference(unit_resolution,[status(thm)],[24082, 836, 23964])).
% 49.76/32.88 tff(24084,plain,
% 49.76/32.88 (((~![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))) | v26(constB183) | (~v130(constB183, bitIndex2)) | v127(constB183, bitIndex2))),
% 49.76/32.88 inference(rewrite,[status(thm)],[])).
% 49.76/32.88 tff(24085,plain,
% 49.76/32.88 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB183) | (~v130(constB183, bitIndex2)) | v127(constB183, bitIndex2))),
% 49.76/32.88 inference(quant_inst,[status(thm)],[])).
% 49.76/32.88 tff(24086,plain,
% 49.76/32.88 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB183) | (~v130(constB183, bitIndex2)) | v127(constB183, bitIndex2)),
% 49.76/32.88 inference(modus_ponens,[status(thm)],[24085, 24084])).
% 49.76/32.88 tff(24087,plain,
% 49.76/32.88 (v26(constB183) | v127(constB183, bitIndex2)),
% 49.76/32.88 inference(unit_resolution,[status(thm)],[24086, 351, 24083])).
% 49.76/32.88 tff(24088,plain,
% 49.76/32.88 (v127(constB183, bitIndex2)),
% 49.76/32.88 inference(unit_resolution,[status(thm)],[24087, 18398])).
% 49.76/32.88 tff(24089,plain,
% 49.76/32.88 (((~![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))),
% 49.76/32.88 inference(rewrite,[status(thm)],[])).
% 49.76/32.88 tff(24090,plain,
% 49.76/32.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB183, constB184)) | (~v127(constB183, bitIndex2)) | v129(constB184, bitIndex2))),
% 49.76/32.88 inference(quant_inst,[status(thm)],[])).
% 49.76/32.88 tff(24091,plain,
% 49.76/32.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB183, constB184)) | (~v127(constB183, bitIndex2)) | v129(constB184, bitIndex2)),
% 49.76/32.88 inference(modus_ponens,[status(thm)],[24090, 24089])).
% 49.76/32.88 tff(24092,plain,
% 49.76/32.88 ((~v127(constB183, bitIndex2)) | v129(constB184, bitIndex2)),
% 49.76/32.88 inference(unit_resolution,[status(thm)],[24091, 366, 23976])).
% 49.76/32.88 tff(24093,plain,
% 49.76/32.88 (v129(constB184, bitIndex2)),
% 49.76/32.88 inference(unit_resolution,[status(thm)],[24092, 24088])).
% 49.76/32.88 tff(24094,plain,
% 49.76/32.88 (((~![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)))),
% 49.76/32.88 inference(rewrite,[status(thm)],[])).
% 49.76/32.88 tff(24095,plain,
% 49.76/32.88 ((v90(constB184, bitIndex2) | (~v100(constB184)) | (~v129(constB184, bitIndex2))) <=> (v90(constB184, bitIndex2) | (~v129(constB184, bitIndex2)) | (~v100(constB184)))),
% 49.76/32.88 inference(rewrite,[status(thm)],[])).
% 49.76/32.88 tff(24096,plain,
% 49.76/32.88 (((~![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))))),
% 49.76/32.88 inference(monotonicity,[status(thm)],[24095])).
% 49.76/32.88 tff(24097,plain,
% 49.76/32.88 (((~![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)))),
% 49.76/32.88 inference(transitivity,[status(thm)],[24096, 24094])).
% 49.76/32.88 tff(24098,plain,
% 49.76/32.88 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB184, bitIndex2) | (~v100(constB184)) | (~v129(constB184, bitIndex2)))),
% 49.76/32.88 inference(quant_inst,[status(thm)],[])).
% 49.76/32.88 tff(24099,plain,
% 49.76/32.88 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB184, bitIndex2) | (~v129(constB184, bitIndex2)) | (~v100(constB184))),
% 49.76/32.88 inference(modus_ponens,[status(thm)],[24098, 24097])).
% 49.76/32.88 tff(24100,plain,
% 49.76/32.88 (v90(constB184, bitIndex2) | (~v129(constB184, bitIndex2))),
% 49.76/32.88 inference(unit_resolution,[status(thm)],[24099, 381, 24044])).
% 49.76/32.88 tff(24101,plain,
% 49.76/32.88 (v90(constB184, bitIndex2)),
% 49.76/32.88 inference(unit_resolution,[status(thm)],[24100, 24093])).
% 49.76/32.88 tff(24102,plain,
% 49.76/32.88 (((~![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))),
% 49.76/32.88 inference(rewrite,[status(thm)],[])).
% 49.76/32.88 tff(24103,plain,
% 49.76/32.88 (((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex2)) | v100(constB185) | v90(constB185, bitIndex2)) <=> ((~v90(constB184, bitIndex2)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex2))),
% 49.76/32.88 inference(rewrite,[status(thm)],[])).
% 49.76/32.88 tff(24104,plain,
% 49.76/32.88 (((~![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)))),
% 49.76/32.88 inference(monotonicity,[status(thm)],[24103])).
% 49.76/32.88 tff(24105,plain,
% 49.76/32.88 (((~![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))),
% 49.76/32.88 inference(transitivity,[status(thm)],[24104, 24102])).
% 49.76/32.88 tff(24106,plain,
% 49.76/32.88 ((~![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))),
% 49.76/32.88 inference(quant_inst,[status(thm)],[])).
% 49.76/32.88 tff(24107,plain,
% 49.76/32.88 ((~![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)),
% 49.76/32.88 inference(modus_ponens,[status(thm)],[24106, 24105])).
% 49.76/32.88 tff(24108,plain,
% 49.76/32.88 ((~v90(constB184, bitIndex2)) | v100(constB185) | v90(constB185, bitIndex2)),
% 49.76/32.88 inference(unit_resolution,[status(thm)],[24107, 417, 24058])).
% 49.76/32.88 tff(24109,plain,
% 49.76/32.88 ((~v90(constB184, bitIndex2)) | v90(constB185, bitIndex2)),
% 49.76/32.88 inference(unit_resolution,[status(thm)],[24108, 24070])).
% 49.76/32.88 tff(24110,plain,
% 49.76/32.88 (v90(constB185, bitIndex2)),
% 49.76/32.88 inference(unit_resolution,[status(thm)],[24109, 24101])).
% 49.76/32.88 tff(24111,assumption,(v127(constB183, bitIndex0)), introduced(assumption)).
% 49.76/32.88 tff(24112,plain,
% 49.76/32.88 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB183)) | (~v130(constB183, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB183)) | (~v130(constB183, bitIndex0)))),
% 49.76/32.88 inference(rewrite,[status(thm)],[])).
% 49.76/32.88 tff(24113,plain,
% 49.76/32.88 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB183)) | (~v130(constB183, bitIndex0)))),
% 49.76/32.88 inference(quant_inst,[status(thm)],[])).
% 49.76/32.88 tff(24114,plain,
% 49.76/32.88 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB183)) | (~v130(constB183, bitIndex0))),
% 49.76/32.88 inference(modus_ponens,[status(thm)],[24113, 24112])).
% 49.76/32.88 tff(24115,plain,
% 49.76/32.88 (~v130(constB183, bitIndex0)),
% 49.76/32.88 inference(unit_resolution,[status(thm)],[24114, 975, 23964])).
% 49.76/32.88 tff(24116,plain,
% 49.76/32.88 (((~![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))),
% 49.76/32.88 inference(rewrite,[status(thm)],[])).
% 49.76/32.88 tff(24117,plain,
% 49.76/32.88 ((v26(constB183) | v130(constB183, bitIndex0) | (~v127(constB183, bitIndex0))) <=> ((~v127(constB183, bitIndex0)) | v26(constB183) | v130(constB183, bitIndex0))),
% 49.76/32.88 inference(rewrite,[status(thm)],[])).
% 49.76/32.88 tff(24118,plain,
% 49.76/32.88 (((~![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)))),
% 49.76/32.88 inference(monotonicity,[status(thm)],[24117])).
% 49.76/32.88 tff(24119,plain,
% 49.76/32.88 (((~![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))),
% 49.76/32.88 inference(transitivity,[status(thm)],[24118, 24116])).
% 49.76/32.88 tff(24120,plain,
% 49.76/32.88 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB183) | v130(constB183, bitIndex0) | (~v127(constB183, bitIndex0)))),
% 49.76/32.88 inference(quant_inst,[status(thm)],[])).
% 49.76/32.88 tff(24121,plain,
% 49.76/32.88 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB183, bitIndex0)) | v26(constB183) | v130(constB183, bitIndex0)),
% 49.76/32.88 inference(modus_ponens,[status(thm)],[24120, 24119])).
% 49.76/32.88 tff(24122,plain,
% 49.76/32.88 ((~v127(constB183, bitIndex0)) | v26(constB183)),
% 49.76/32.88 inference(unit_resolution,[status(thm)],[24121, 524, 24115])).
% 49.76/32.88 tff(24123,plain,
% 49.76/32.88 (v26(constB183)),
% 49.76/32.88 inference(unit_resolution,[status(thm)],[24122, 24111])).
% 49.76/32.88 tff(24124,plain,
% 49.76/32.88 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB183)) | (~v127(constB183, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB183)) | (~v127(constB183, bitIndex0)))),
% 49.76/32.88 inference(rewrite,[status(thm)],[])).
% 49.76/32.88 tff(24125,plain,
% 49.76/32.88 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB183)) | (~v127(constB183, bitIndex0)))),
% 49.76/32.88 inference(quant_inst,[status(thm)],[])).
% 49.76/32.88 tff(24126,plain,
% 49.76/32.88 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB183)) | (~v127(constB183, bitIndex0))),
% 49.76/32.88 inference(modus_ponens,[status(thm)],[24125, 24124])).
% 49.76/32.88 tff(24127,plain,
% 49.76/32.88 ($false),
% 49.76/32.88 inference(unit_resolution,[status(thm)],[24126, 1514, 24111, 24123])).
% 49.76/32.88 tff(24128,plain,(~v127(constB183, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 49.76/32.88 tff(24129,plain,
% 49.76/32.88 (((~![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)))),
% 49.76/32.88 inference(rewrite,[status(thm)],[])).
% 49.76/32.88 tff(24130,plain,
% 49.76/32.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB183, constB184)) | v127(constB183, bitIndex0) | (~v129(constB184, bitIndex0)))),
% 49.76/32.88 inference(quant_inst,[status(thm)],[])).
% 49.76/32.88 tff(24131,plain,
% 49.76/32.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB183, constB184)) | v127(constB183, bitIndex0) | (~v129(constB184, bitIndex0))),
% 49.76/32.88 inference(modus_ponens,[status(thm)],[24130, 24129])).
% 49.76/32.88 tff(24132,plain,
% 49.76/32.88 (v127(constB183, bitIndex0) | (~v129(constB184, bitIndex0))),
% 49.76/32.88 inference(unit_resolution,[status(thm)],[24131, 542, 23976])).
% 49.76/32.88 tff(24133,plain,
% 49.76/32.88 (~v129(constB184, bitIndex0)),
% 49.76/32.88 inference(unit_resolution,[status(thm)],[24132, 24128])).
% 49.76/32.88 tff(24134,plain,
% 49.76/32.88 (((~![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)))),
% 49.76/32.88 inference(rewrite,[status(thm)],[])).
% 49.76/32.88 tff(24135,plain,
% 49.76/32.88 (((~v90(constB184, bitIndex0)) | (~v100(constB184)) | v129(constB184, bitIndex0)) <=> ((~v90(constB184, bitIndex0)) | v129(constB184, bitIndex0) | (~v100(constB184)))),
% 49.76/32.88 inference(rewrite,[status(thm)],[])).
% 49.76/32.88 tff(24136,plain,
% 49.76/32.88 (((~![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))))),
% 49.76/32.88 inference(monotonicity,[status(thm)],[24135])).
% 49.76/32.88 tff(24137,plain,
% 49.76/32.88 (((~![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)))),
% 49.76/32.88 inference(transitivity,[status(thm)],[24136, 24134])).
% 49.76/32.88 tff(24138,plain,
% 49.76/32.88 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB184, bitIndex0)) | (~v100(constB184)) | v129(constB184, bitIndex0))),
% 49.76/32.88 inference(quant_inst,[status(thm)],[])).
% 49.76/32.88 tff(24139,plain,
% 49.76/32.88 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB184, bitIndex0)) | v129(constB184, bitIndex0) | (~v100(constB184))),
% 49.76/32.88 inference(modus_ponens,[status(thm)],[24138, 24137])).
% 49.76/32.88 tff(24140,plain,
% 49.76/32.88 ((~v90(constB184, bitIndex0)) | v129(constB184, bitIndex0)),
% 49.76/32.88 inference(unit_resolution,[status(thm)],[24139, 557, 24044])).
% 49.76/32.88 tff(24141,plain,
% 49.76/32.88 (~v90(constB184, bitIndex0)),
% 49.76/32.88 inference(unit_resolution,[status(thm)],[24140, 24133])).
% 49.76/32.88 tff(24142,plain,
% 49.76/32.88 (((~![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)))),
% 49.76/32.88 inference(rewrite,[status(thm)],[])).
% 49.76/32.88 tff(24143,plain,
% 49.76/32.88 (((~nextState(constB184, constB185)) | v90(constB184, bitIndex0) | v100(constB185) | (~v90(constB185, bitIndex0))) <=> (v90(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex0)))),
% 49.76/32.88 inference(rewrite,[status(thm)],[])).
% 49.76/32.88 tff(24144,plain,
% 49.76/32.88 (((~![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))))),
% 49.76/32.88 inference(monotonicity,[status(thm)],[24143])).
% 49.76/32.88 tff(24145,plain,
% 49.76/32.88 (((~![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)))),
% 49.76/32.88 inference(transitivity,[status(thm)],[24144, 24142])).
% 49.76/32.88 tff(24146,plain,
% 49.76/32.88 ((~![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)))),
% 49.76/32.88 inference(quant_inst,[status(thm)],[])).
% 49.76/32.88 tff(24147,plain,
% 49.76/32.88 ((~![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))),
% 49.76/32.88 inference(modus_ponens,[status(thm)],[24146, 24145])).
% 49.76/32.88 tff(24148,plain,
% 49.76/32.88 (v90(constB184, bitIndex0) | v100(constB185) | (~v90(constB185, bitIndex0))),
% 49.76/32.88 inference(unit_resolution,[status(thm)],[24147, 123, 24058])).
% 49.76/32.88 tff(24149,plain,
% 49.76/32.88 (v90(constB184, bitIndex0) | (~v90(constB185, bitIndex0))),
% 49.76/32.88 inference(unit_resolution,[status(thm)],[24148, 24070])).
% 49.76/32.88 tff(24150,plain,
% 49.76/32.88 (~v90(constB185, bitIndex0)),
% 49.76/32.88 inference(unit_resolution,[status(thm)],[24149, 24141])).
% 49.76/32.88 tff(24151,plain,
% 49.76/32.88 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex2)) | v125(constB185))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex2)) | v125(constB185))),
% 49.76/32.88 inference(rewrite,[status(thm)],[])).
% 49.76/32.88 tff(24152,plain,
% 49.76/32.89 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex2)) | v125(constB185))),
% 49.76/32.89 inference(quant_inst,[status(thm)],[])).
% 49.76/32.89 tff(24153,plain,
% 49.76/32.89 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex2)) | v125(constB185)),
% 49.76/32.89 inference(modus_ponens,[status(thm)],[24152, 24151])).
% 49.76/32.89 tff(24154,plain,
% 49.76/32.89 ((~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex2)) | v125(constB185)),
% 49.76/32.89 inference(unit_resolution,[status(thm)],[24153, 1019, 24150])).
% 49.76/32.89 tff(24155,plain,
% 49.76/32.89 (v125(constB185)),
% 49.76/32.89 inference(unit_resolution,[status(thm)],[24154, 24110, 24079])).
% 49.76/32.89 tff(24156,plain,
% 49.76/32.89 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB185) | (~v125(constB185)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB185) | (~v125(constB185)))),
% 49.76/32.89 inference(rewrite,[status(thm)],[])).
% 49.76/32.89 tff(24157,plain,
% 49.76/32.89 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB185) | (~v125(constB185)))),
% 49.76/32.89 inference(quant_inst,[status(thm)],[])).
% 49.76/32.89 tff(24158,plain,
% 49.76/32.89 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB185) | (~v125(constB185))),
% 49.76/32.89 inference(modus_ponens,[status(thm)],[24157, 24156])).
% 49.76/32.89 tff(24159,plain,
% 49.76/32.89 (v113(constB185)),
% 49.76/32.89 inference(unit_resolution,[status(thm)],[24158, 1031, 24155])).
% 49.76/32.89 tff(24160,assumption,(v26(constB185)), introduced(assumption)).
% 49.76/32.89 tff(24161,plain,
% 49.76/32.89 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB185))),
% 49.76/32.89 inference(quant_inst,[status(thm)],[])).
% 49.76/32.89 tff(24162,plain,
% 49.76/32.89 ($false),
% 49.76/32.89 inference(unit_resolution,[status(thm)],[24161, 16, 24160])).
% 49.76/32.89 tff(24163,plain,(~v26(constB185)), inference(lemma,lemma(discharge,[]))).
% 49.76/32.89 tff(24164,plain,
% 49.76/32.89 (((~![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))),
% 49.76/32.89 inference(rewrite,[status(thm)],[])).
% 49.76/32.89 tff(24165,plain,
% 49.76/32.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB185) | (~v113(constB185)) | v112(constB185))),
% 49.76/32.89 inference(quant_inst,[status(thm)],[])).
% 49.76/32.89 tff(24166,plain,
% 49.76/32.89 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB185) | (~v113(constB185)) | v112(constB185)),
% 49.76/32.89 inference(modus_ponens,[status(thm)],[24165, 24164])).
% 49.76/32.89 tff(24167,plain,
% 49.76/32.89 ((~v113(constB185)) | v112(constB185)),
% 49.76/32.89 inference(unit_resolution,[status(thm)],[24166, 224, 24163])).
% 49.76/32.89 tff(24168,plain,
% 49.76/32.89 (v112(constB185)),
% 49.76/32.89 inference(unit_resolution,[status(thm)],[24167, 24159])).
% 49.76/32.89 tff(24169,plain,
% 49.76/32.89 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB185) | (~v112(constB185)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB185) | (~v112(constB185)))),
% 49.76/32.89 inference(rewrite,[status(thm)],[])).
% 49.76/32.89 tff(24170,plain,
% 49.76/32.89 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB185) | (~v112(constB185)))),
% 49.76/32.89 inference(quant_inst,[status(thm)],[])).
% 49.76/32.89 tff(24171,plain,
% 49.76/32.89 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB185) | (~v112(constB185))),
% 49.76/32.89 inference(modus_ponens,[status(thm)],[24170, 24169])).
% 49.76/32.89 tff(24172,plain,
% 49.76/32.89 (v108(constB185)),
% 49.76/32.89 inference(unit_resolution,[status(thm)],[24171, 236, 24168])).
% 49.76/32.89 tff(24173,plain,
% 49.76/32.89 (nextState(constB185, constB186) <=> nextState(constB185, constB186)),
% 49.76/32.89 inference(rewrite,[status(thm)],[])).
% 49.76/32.89 tff(24174,axiom,(nextState(constB185, constB186)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_185_1')).
% 49.76/32.89 tff(24175,plain,
% 49.76/32.89 (nextState(constB185, constB186)),
% 49.76/32.89 inference(modus_ponens,[status(thm)],[24174, 24173])).
% 49.76/32.89 tff(24176,plain,
% 49.76/32.89 (((~![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)))),
% 49.76/32.89 inference(rewrite,[status(thm)],[])).
% 49.76/32.89 tff(24177,plain,
% 49.76/32.89 (((~nextState(constB185, constB186)) | (~v108(constB185)) | v110(constB186)) <=> ((~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185)))),
% 49.76/32.89 inference(rewrite,[status(thm)],[])).
% 49.76/32.89 tff(24178,plain,
% 49.76/32.89 (((~![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))))),
% 49.76/32.89 inference(monotonicity,[status(thm)],[24177])).
% 49.76/32.89 tff(24179,plain,
% 49.76/32.89 (((~![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)))),
% 49.76/32.89 inference(transitivity,[status(thm)],[24178, 24176])).
% 49.76/32.89 tff(24180,plain,
% 49.76/32.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB185, constB186)) | (~v108(constB185)) | v110(constB186))),
% 49.76/32.89 inference(quant_inst,[status(thm)],[])).
% 49.76/32.89 tff(24181,plain,
% 49.76/32.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB185, constB186)) | v110(constB186) | (~v108(constB185))),
% 49.76/32.89 inference(modus_ponens,[status(thm)],[24180, 24179])).
% 49.76/32.89 tff(24182,plain,
% 49.76/32.89 (v110(constB186) | (~v108(constB185))),
% 49.76/32.89 inference(unit_resolution,[status(thm)],[24181, 253, 24175])).
% 49.76/32.89 tff(24183,plain,
% 49.76/32.89 (v110(constB186)),
% 49.76/32.89 inference(unit_resolution,[status(thm)],[24182, 24172])).
% 49.76/32.89 tff(24184,plain,
% 49.76/32.89 (((~![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)))),
% 49.76/32.89 inference(rewrite,[status(thm)],[])).
% 49.76/32.89 tff(24185,plain,
% 49.76/32.89 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB185) | (~nextState(constB185, constB186)) | (~v104(constB186)))),
% 49.76/32.89 inference(quant_inst,[status(thm)],[])).
% 49.76/32.89 tff(24186,plain,
% 49.76/32.89 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB185) | (~nextState(constB185, constB186)) | (~v104(constB186))),
% 49.76/32.89 inference(modus_ponens,[status(thm)],[24185, 24184])).
% 49.76/32.89 tff(24187,plain,
% 49.76/32.89 (~v104(constB186)),
% 49.76/32.89 inference(unit_resolution,[status(thm)],[24186, 271, 24175, 24055])).
% 49.76/32.89 tff(24188,plain,
% 49.76/32.89 (((~![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))),
% 49.76/32.89 inference(rewrite,[status(thm)],[])).
% 49.76/32.89 tff(24189,plain,
% 49.76/32.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB185, constB186)) | v102(constB186) | v104(constB186))),
% 49.76/32.89 inference(quant_inst,[status(thm)],[])).
% 49.76/32.89 tff(24190,plain,
% 49.76/32.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB185, constB186)) | v102(constB186) | v104(constB186)),
% 49.76/32.89 inference(modus_ponens,[status(thm)],[24189, 24188])).
% 49.76/32.89 tff(24191,plain,
% 49.76/32.89 (v102(constB186) | v104(constB186)),
% 49.76/32.89 inference(unit_resolution,[status(thm)],[24190, 285, 24175])).
% 49.76/32.89 tff(24192,plain,
% 49.76/32.89 (v102(constB186)),
% 49.76/32.89 inference(unit_resolution,[status(thm)],[24191, 24187])).
% 49.76/32.89 tff(24193,plain,
% 49.76/32.89 (v1(constB186) <=> v1(constB186)),
% 49.76/32.89 inference(rewrite,[status(thm)],[])).
% 49.76/32.89 tff(24194,axiom,(v1(constB186)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_186_1')).
% 49.76/32.89 tff(24195,plain,
% 49.76/32.89 (v1(constB186)),
% 49.76/32.89 inference(modus_ponens,[status(thm)],[24194, 24193])).
% 49.76/32.89 tff(24196,plain,
% 49.76/32.89 (((~![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)))),
% 49.76/32.89 inference(rewrite,[status(thm)],[])).
% 49.76/32.89 tff(24197,plain,
% 49.76/32.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB185, constB186)) | v101(constB186) | (~v102(constB186)) | (~v1(constB186)))),
% 49.76/32.89 inference(quant_inst,[status(thm)],[])).
% 49.76/32.89 tff(24198,plain,
% 49.76/32.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB185, constB186)) | v101(constB186) | (~v102(constB186)) | (~v1(constB186))),
% 49.76/32.89 inference(modus_ponens,[status(thm)],[24197, 24196])).
% 49.76/32.89 tff(24199,plain,
% 49.76/32.89 (v101(constB186) | (~v102(constB186))),
% 49.76/32.89 inference(unit_resolution,[status(thm)],[24198, 303, 24175, 24195])).
% 49.76/32.89 tff(24200,plain,
% 49.76/32.89 (v101(constB186)),
% 49.76/32.89 inference(unit_resolution,[status(thm)],[24199, 24192])).
% 49.76/32.89 tff(24201,plain,
% 49.76/32.89 (((~![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)))),
% 49.76/32.89 inference(rewrite,[status(thm)],[])).
% 49.76/32.89 tff(24202,plain,
% 49.76/32.89 (((~nextState(constB185, constB186)) | (~v101(constB186)) | (~v110(constB186)) | v100(constB186)) <=> ((~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186)))),
% 49.76/32.89 inference(rewrite,[status(thm)],[])).
% 49.76/32.89 tff(24203,plain,
% 49.76/32.89 (((~![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))))),
% 49.76/32.89 inference(monotonicity,[status(thm)],[24202])).
% 49.76/32.89 tff(24204,plain,
% 49.76/32.89 (((~![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)))),
% 49.76/32.89 inference(transitivity,[status(thm)],[24203, 24201])).
% 49.76/32.89 tff(24205,plain,
% 49.76/32.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB185, constB186)) | (~v101(constB186)) | (~v110(constB186)) | v100(constB186))),
% 49.76/32.89 inference(quant_inst,[status(thm)],[])).
% 49.76/32.89 tff(24206,plain,
% 49.76/32.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB185, constB186)) | v100(constB186) | (~v101(constB186)) | (~v110(constB186))),
% 49.84/32.89 inference(modus_ponens,[status(thm)],[24205, 24204])).
% 49.84/32.89 tff(24207,plain,
% 49.84/32.89 (v100(constB186) | (~v101(constB186)) | (~v110(constB186))),
% 49.84/32.89 inference(unit_resolution,[status(thm)],[24206, 318, 24175])).
% 49.84/32.89 tff(24208,plain,
% 49.84/32.89 (v100(constB186) | (~v110(constB186))),
% 49.84/32.89 inference(unit_resolution,[status(thm)],[24207, 24200])).
% 49.84/32.89 tff(24209,plain,
% 49.84/32.89 (v100(constB186)),
% 49.84/32.89 inference(unit_resolution,[status(thm)],[24208, 24183])).
% 49.84/32.89 tff(24210,assumption,(v121(constB185)), introduced(assumption)).
% 49.84/32.89 tff(24211,plain,
% 49.84/32.89 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB185, bitIndex2)) | (~v121(constB185)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB185, bitIndex2)) | (~v121(constB185)))),
% 49.84/32.89 inference(rewrite,[status(thm)],[])).
% 49.84/32.89 tff(24212,plain,
% 49.84/32.89 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB185, bitIndex2)) | (~v121(constB185)))),
% 49.84/32.89 inference(quant_inst,[status(thm)],[])).
% 49.84/32.89 tff(24213,plain,
% 49.84/32.89 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB185, bitIndex2)) | (~v121(constB185))),
% 49.84/32.89 inference(modus_ponens,[status(thm)],[24212, 24211])).
% 49.84/32.89 tff(24214,plain,
% 49.84/32.89 (~v90(constB185, bitIndex2)),
% 49.84/32.89 inference(unit_resolution,[status(thm)],[24213, 883, 24210])).
% 49.84/32.89 tff(24215,plain,
% 49.84/32.89 (~v90(constB184, bitIndex2)),
% 49.84/32.89 inference(unit_resolution,[status(thm)],[24109, 24214])).
% 49.84/32.89 tff(24216,plain,
% 49.84/32.89 (~v129(constB184, bitIndex2)),
% 49.84/32.89 inference(unit_resolution,[status(thm)],[24100, 24215])).
% 49.84/32.89 tff(24217,plain,
% 49.84/32.89 (~v127(constB183, bitIndex2)),
% 49.84/32.89 inference(unit_resolution,[status(thm)],[24092, 24216])).
% 49.84/32.89 tff(24218,plain,
% 49.84/32.89 (v26(constB183)),
% 49.84/32.89 inference(unit_resolution,[status(thm)],[24087, 24217])).
% 49.84/32.89 tff(24219,plain,
% 49.84/32.89 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex1) | (~v121(VarCurr))) <=> (v90(VarCurr, bitIndex1) | (~v121(VarCurr))))),
% 49.84/32.89 inference(bind,[status(th)],[])).
% 49.84/32.89 tff(24220,plain,
% 49.84/32.89 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))),
% 49.84/32.89 inference(quant_intro,[status(thm)],[24219])).
% 49.84/32.89 tff(24221,plain,
% 49.84/32.89 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))),
% 49.84/32.89 inference(rewrite,[status(thm)],[])).
% 49.84/32.89 tff(24222,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_2')).
% 49.84/32.89 tff(24223,plain,
% 49.84/32.89 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))),
% 49.84/32.89 inference(modus_ponens,[status(thm)],[24222, 24221])).
% 49.84/32.89 tff(24224,plain,(
% 49.84/32.89 ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))),
% 49.84/32.89 inference(skolemize,[status(sab)],[24223])).
% 49.84/32.89 tff(24225,plain,
% 49.84/32.89 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))),
% 49.84/32.89 inference(modus_ponens,[status(thm)],[24224, 24220])).
% 49.84/32.89 tff(24226,plain,
% 49.84/32.89 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | (v90(constB185, bitIndex1) | (~v121(constB185)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | v90(constB185, bitIndex1) | (~v121(constB185)))),
% 49.84/32.89 inference(rewrite,[status(thm)],[])).
% 49.84/32.89 tff(24227,plain,
% 49.84/32.89 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | (v90(constB185, bitIndex1) | (~v121(constB185)))),
% 49.84/32.89 inference(quant_inst,[status(thm)],[])).
% 49.84/32.89 tff(24228,plain,
% 49.84/32.89 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | v90(constB185, bitIndex1) | (~v121(constB185))),
% 49.84/32.89 inference(modus_ponens,[status(thm)],[24227, 24226])).
% 49.84/32.89 tff(24229,plain,
% 49.84/32.89 (v90(constB185, bitIndex1)),
% 49.84/32.89 inference(unit_resolution,[status(thm)],[24228, 24225, 24210])).
% 49.84/32.89 tff(24230,plain,
% 49.84/32.89 (((~![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)))),
% 49.84/32.89 inference(rewrite,[status(thm)],[])).
% 49.84/32.89 tff(24231,plain,
% 49.84/32.89 (((~nextState(constB184, constB185)) | v90(constB184, bitIndex1) | v100(constB185) | (~v90(constB185, bitIndex1))) <=> (v90(constB184, bitIndex1) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex1)))),
% 49.84/32.89 inference(rewrite,[status(thm)],[])).
% 49.84/32.89 tff(24232,plain,
% 49.84/32.89 (((~![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))))),
% 49.84/32.89 inference(monotonicity,[status(thm)],[24231])).
% 49.84/32.89 tff(24233,plain,
% 49.84/32.89 (((~![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)))),
% 49.84/32.89 inference(transitivity,[status(thm)],[24232, 24230])).
% 49.84/32.89 tff(24234,plain,
% 49.84/32.89 ((~![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)))),
% 49.84/32.89 inference(quant_inst,[status(thm)],[])).
% 49.84/32.89 tff(24235,plain,
% 49.84/32.89 ((~![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))),
% 49.84/32.89 inference(modus_ponens,[status(thm)],[24234, 24233])).
% 49.84/32.89 tff(24236,plain,
% 49.84/32.89 (v90(constB184, bitIndex1) | v100(constB185) | (~v90(constB185, bitIndex1))),
% 49.84/32.89 inference(unit_resolution,[status(thm)],[24235, 102, 24058])).
% 49.84/32.89 tff(24237,plain,
% 49.84/32.89 (v90(constB184, bitIndex1) | (~v90(constB185, bitIndex1))),
% 49.84/32.89 inference(unit_resolution,[status(thm)],[24236, 24070])).
% 49.84/32.89 tff(24238,plain,
% 49.84/32.89 (v90(constB184, bitIndex1)),
% 49.84/32.89 inference(unit_resolution,[status(thm)],[24237, 24229])).
% 49.84/32.89 tff(24239,plain,
% 49.84/32.89 (((~![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)))),
% 49.84/32.89 inference(rewrite,[status(thm)],[])).
% 49.84/32.89 tff(24240,plain,
% 49.84/32.89 (((~v90(constB184, bitIndex1)) | (~v100(constB184)) | v129(constB184, bitIndex1)) <=> ((~v90(constB184, bitIndex1)) | v129(constB184, bitIndex1) | (~v100(constB184)))),
% 49.84/32.89 inference(rewrite,[status(thm)],[])).
% 49.84/32.89 tff(24241,plain,
% 49.84/32.89 (((~![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))))),
% 49.84/32.89 inference(monotonicity,[status(thm)],[24240])).
% 49.84/32.89 tff(24242,plain,
% 49.84/32.89 (((~![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)))),
% 49.84/32.89 inference(transitivity,[status(thm)],[24241, 24239])).
% 49.84/32.89 tff(24243,plain,
% 49.84/32.89 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB184, bitIndex1)) | (~v100(constB184)) | v129(constB184, bitIndex1))),
% 49.84/32.89 inference(quant_inst,[status(thm)],[])).
% 49.84/32.89 tff(24244,plain,
% 49.84/32.89 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB184, bitIndex1)) | v129(constB184, bitIndex1) | (~v100(constB184))),
% 49.84/32.89 inference(modus_ponens,[status(thm)],[24243, 24242])).
% 49.84/32.89 tff(24245,plain,
% 49.84/32.89 ((~v90(constB184, bitIndex1)) | v129(constB184, bitIndex1)),
% 49.84/32.89 inference(unit_resolution,[status(thm)],[24244, 483, 24044])).
% 49.84/32.89 tff(24246,plain,
% 49.84/32.89 (v129(constB184, bitIndex1)),
% 49.84/32.89 inference(unit_resolution,[status(thm)],[24245, 24238])).
% 49.84/32.89 tff(24247,plain,
% 49.84/32.89 (((~![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)))),
% 49.84/32.89 inference(rewrite,[status(thm)],[])).
% 49.84/32.89 tff(24248,plain,
% 49.84/32.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB183, constB184)) | v127(constB183, bitIndex1) | (~v129(constB184, bitIndex1)))),
% 49.84/32.89 inference(quant_inst,[status(thm)],[])).
% 49.84/32.89 tff(24249,plain,
% 49.84/32.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB183, constB184)) | v127(constB183, bitIndex1) | (~v129(constB184, bitIndex1))),
% 49.84/32.89 inference(modus_ponens,[status(thm)],[24248, 24247])).
% 49.84/32.89 tff(24250,plain,
% 49.84/32.89 (v127(constB183, bitIndex1) | (~v129(constB184, bitIndex1))),
% 49.84/32.89 inference(unit_resolution,[status(thm)],[24249, 468, 23976])).
% 49.84/32.89 tff(24251,plain,
% 49.84/32.89 (v127(constB183, bitIndex1)),
% 49.84/32.89 inference(unit_resolution,[status(thm)],[24250, 24246])).
% 49.84/32.89 tff(24252,plain,
% 49.84/32.89 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB183)) | (~v127(constB183, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB183)) | (~v127(constB183, bitIndex1)))),
% 49.84/32.89 inference(rewrite,[status(thm)],[])).
% 49.84/32.89 tff(24253,plain,
% 49.84/32.89 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | ((~v26(constB183)) | (~v127(constB183, bitIndex1)))),
% 49.84/32.89 inference(quant_inst,[status(thm)],[])).
% 49.84/32.89 tff(24254,plain,
% 49.84/32.89 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex1)))) | (~v26(constB183)) | (~v127(constB183, bitIndex1))),
% 49.84/32.89 inference(modus_ponens,[status(thm)],[24253, 24252])).
% 49.84/32.89 tff(24255,plain,
% 49.84/32.89 ($false),
% 49.84/32.89 inference(unit_resolution,[status(thm)],[24254, 1959, 24251, 24218])).
% 49.84/32.89 tff(24256,plain,(~v121(constB185)), inference(lemma,lemma(discharge,[]))).
% 49.84/32.89 tff(24257,assumption,(v123(constB185)), introduced(assumption)).
% 49.84/32.89 tff(24258,plain,
% 49.84/32.89 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB185, bitIndex1)) | (~v123(constB185)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB185, bitIndex1)) | (~v123(constB185)))),
% 49.84/32.89 inference(rewrite,[status(thm)],[])).
% 49.84/32.89 tff(24259,plain,
% 49.84/32.89 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB185, bitIndex1)) | (~v123(constB185)))),
% 49.84/32.89 inference(quant_inst,[status(thm)],[])).
% 49.84/32.89 tff(24260,plain,
% 49.84/32.89 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB185, bitIndex1)) | (~v123(constB185))),
% 49.84/32.89 inference(modus_ponens,[status(thm)],[24259, 24258])).
% 49.84/32.89 tff(24261,plain,
% 49.84/32.89 (~v90(constB185, bitIndex1)),
% 49.84/32.89 inference(unit_resolution,[status(thm)],[24260, 774, 24257])).
% 49.84/32.89 tff(24262,plain,
% 49.84/32.89 (~v90(constB184, bitIndex1)),
% 49.84/32.89 inference(unit_resolution,[status(thm)],[24078, 24261])).
% 49.84/32.89 tff(24263,plain,
% 49.84/32.89 (~v129(constB184, bitIndex1)),
% 49.84/32.89 inference(unit_resolution,[status(thm)],[24051, 24262])).
% 49.84/32.89 tff(24264,plain,
% 49.84/32.89 (~v127(constB183, bitIndex1)),
% 49.84/32.89 inference(unit_resolution,[status(thm)],[23980, 24263])).
% 49.84/32.89 tff(24265,plain,
% 49.84/32.89 (v26(constB183)),
% 49.84/32.89 inference(unit_resolution,[status(thm)],[23972, 24264])).
% 49.84/32.89 tff(24266,plain,
% 49.84/32.89 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | (v90(constB185, bitIndex2) | (~v123(constB185)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | v90(constB185, bitIndex2) | (~v123(constB185)))),
% 49.84/32.89 inference(rewrite,[status(thm)],[])).
% 49.84/32.89 tff(24267,plain,
% 49.84/32.89 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | (v90(constB185, bitIndex2) | (~v123(constB185)))),
% 49.84/32.89 inference(quant_inst,[status(thm)],[])).
% 49.84/32.89 tff(24268,plain,
% 49.84/32.89 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | v90(constB185, bitIndex2) | (~v123(constB185))),
% 49.84/32.89 inference(modus_ponens,[status(thm)],[24267, 24266])).
% 49.84/32.89 tff(24269,plain,
% 49.84/32.89 (v90(constB185, bitIndex2)),
% 49.84/32.89 inference(unit_resolution,[status(thm)],[24268, 3342, 24257])).
% 49.84/32.89 tff(24270,plain,
% 49.84/32.89 (((~![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)))),
% 49.84/32.89 inference(rewrite,[status(thm)],[])).
% 49.84/32.89 tff(24271,plain,
% 49.84/32.89 (((~nextState(constB184, constB185)) | v90(constB184, bitIndex2) | v100(constB185) | (~v90(constB185, bitIndex2))) <=> (v90(constB184, bitIndex2) | (~nextState(constB184, constB185)) | v100(constB185) | (~v90(constB185, bitIndex2)))),
% 49.84/32.89 inference(rewrite,[status(thm)],[])).
% 49.84/32.89 tff(24272,plain,
% 49.84/32.89 (((~![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))))),
% 49.84/32.89 inference(monotonicity,[status(thm)],[24271])).
% 49.84/32.89 tff(24273,plain,
% 49.84/32.89 (((~![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)))),
% 49.84/32.89 inference(transitivity,[status(thm)],[24272, 24270])).
% 49.84/32.89 tff(24274,plain,
% 49.84/32.89 ((~![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)))),
% 49.84/32.89 inference(quant_inst,[status(thm)],[])).
% 49.84/32.89 tff(24275,plain,
% 49.84/32.89 ((~![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))),
% 49.84/32.89 inference(modus_ponens,[status(thm)],[24274, 24273])).
% 49.84/32.89 tff(24276,plain,
% 49.84/32.89 (v90(constB184, bitIndex2) | v100(constB185) | (~v90(constB185, bitIndex2))),
% 49.84/32.89 inference(unit_resolution,[status(thm)],[24275, 81, 24058])).
% 49.84/32.89 tff(24277,plain,
% 49.84/32.89 (v90(constB184, bitIndex2) | (~v90(constB185, bitIndex2))),
% 49.84/32.89 inference(unit_resolution,[status(thm)],[24276, 24070])).
% 49.84/32.89 tff(24278,plain,
% 49.84/32.89 (v90(constB184, bitIndex2)),
% 49.84/32.89 inference(unit_resolution,[status(thm)],[24277, 24269])).
% 49.84/32.89 tff(24279,plain,
% 49.84/32.89 (((~![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)))),
% 49.84/32.89 inference(rewrite,[status(thm)],[])).
% 49.84/32.89 tff(24280,plain,
% 49.84/32.89 (((~v90(constB184, bitIndex2)) | (~v100(constB184)) | v129(constB184, bitIndex2)) <=> ((~v90(constB184, bitIndex2)) | v129(constB184, bitIndex2) | (~v100(constB184)))),
% 49.84/32.89 inference(rewrite,[status(thm)],[])).
% 49.84/32.89 tff(24281,plain,
% 49.84/32.89 (((~![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))))),
% 49.84/32.89 inference(monotonicity,[status(thm)],[24280])).
% 49.84/32.89 tff(24282,plain,
% 49.84/32.89 (((~![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)))),
% 49.84/32.89 inference(transitivity,[status(thm)],[24281, 24279])).
% 49.84/32.89 tff(24283,plain,
% 49.84/32.89 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB184, bitIndex2)) | (~v100(constB184)) | v129(constB184, bitIndex2))),
% 49.84/32.89 inference(quant_inst,[status(thm)],[])).
% 49.84/32.89 tff(24284,plain,
% 49.84/32.89 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB184, bitIndex2)) | v129(constB184, bitIndex2) | (~v100(constB184))),
% 49.84/32.89 inference(modus_ponens,[status(thm)],[24283, 24282])).
% 49.84/32.89 tff(24285,plain,
% 49.84/32.89 ((~v90(constB184, bitIndex2)) | v129(constB184, bitIndex2)),
% 49.84/32.89 inference(unit_resolution,[status(thm)],[24284, 1258, 24044])).
% 49.84/32.89 tff(24286,plain,
% 49.84/32.89 (v129(constB184, bitIndex2)),
% 49.84/32.89 inference(unit_resolution,[status(thm)],[24285, 24278])).
% 49.84/32.89 tff(24287,plain,
% 49.84/32.89 (((~![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)))),
% 49.84/32.89 inference(rewrite,[status(thm)],[])).
% 49.84/32.89 tff(24288,plain,
% 49.84/32.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB183, constB184)) | v127(constB183, bitIndex2) | (~v129(constB184, bitIndex2)))),
% 49.84/32.89 inference(quant_inst,[status(thm)],[])).
% 49.84/32.89 tff(24289,plain,
% 49.84/32.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB183, constB184)) | v127(constB183, bitIndex2) | (~v129(constB184, bitIndex2))),
% 49.84/32.89 inference(modus_ponens,[status(thm)],[24288, 24287])).
% 49.84/32.89 tff(24290,plain,
% 49.84/32.89 (v127(constB183, bitIndex2) | (~v129(constB184, bitIndex2))),
% 49.84/32.89 inference(unit_resolution,[status(thm)],[24289, 1243, 23976])).
% 49.84/32.89 tff(24291,plain,
% 49.84/32.89 (v127(constB183, bitIndex2)),
% 49.84/32.89 inference(unit_resolution,[status(thm)],[24290, 24286])).
% 49.84/32.89 tff(24292,plain,
% 49.84/32.89 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB183)) | (~v127(constB183, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB183)) | (~v127(constB183, bitIndex2)))),
% 49.84/32.89 inference(rewrite,[status(thm)],[])).
% 49.84/32.89 tff(24293,plain,
% 49.84/32.89 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB183)) | (~v127(constB183, bitIndex2)))),
% 49.84/32.89 inference(quant_inst,[status(thm)],[])).
% 49.84/32.89 tff(24294,plain,
% 49.84/32.89 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB183)) | (~v127(constB183, bitIndex2))),
% 49.84/32.89 inference(modus_ponens,[status(thm)],[24293, 24292])).
% 49.84/32.89 tff(24295,plain,
% 49.84/32.89 ($false),
% 49.84/32.89 inference(unit_resolution,[status(thm)],[24294, 1228, 24291, 24265])).
% 49.84/32.89 tff(24296,plain,(~v123(constB185)), inference(lemma,lemma(discharge,[]))).
% 49.84/32.89 tff(24297,plain,
% 49.84/32.89 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB185, bitIndex0) | (~v124(constB185)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB185, bitIndex0) | (~v124(constB185)))),
% 49.84/32.89 inference(rewrite,[status(thm)],[])).
% 49.84/32.89 tff(24298,plain,
% 49.84/32.89 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB185, bitIndex0) | (~v124(constB185)))),
% 49.84/32.89 inference(quant_inst,[status(thm)],[])).
% 49.84/32.89 tff(24299,plain,
% 49.84/32.89 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB185, bitIndex0) | (~v124(constB185))),
% 49.84/32.89 inference(modus_ponens,[status(thm)],[24298, 24297])).
% 49.84/32.89 tff(24300,plain,
% 49.84/32.89 (~v124(constB185)),
% 49.84/32.89 inference(unit_resolution,[status(thm)],[24299, 2932, 24150])).
% 49.84/32.89 tff(24301,plain,
% 49.84/32.89 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB185, bitIndex0) | (~v120(constB185)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB185, bitIndex0) | (~v120(constB185)))),
% 49.84/32.89 inference(rewrite,[status(thm)],[])).
% 49.84/32.89 tff(24302,plain,
% 49.84/32.89 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB185, bitIndex0) | (~v120(constB185)))),
% 49.84/32.89 inference(quant_inst,[status(thm)],[])).
% 49.84/32.89 tff(24303,plain,
% 49.84/32.89 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB185, bitIndex0) | (~v120(constB185))),
% 49.84/32.89 inference(modus_ponens,[status(thm)],[24302, 24301])).
% 49.84/32.89 tff(24304,plain,
% 49.84/32.89 (~v120(constB185)),
% 49.84/32.89 inference(unit_resolution,[status(thm)],[24303, 2943, 24150])).
% 49.84/32.89 tff(24305,assumption,(~v124(constB185)), introduced(assumption)).
% 49.84/32.89 tff(24306,assumption,(~v123(constB185)), introduced(assumption)).
% 49.84/32.89 tff(24307,assumption,(~v120(constB185)), introduced(assumption)).
% 49.84/32.89 tff(24308,assumption,(~v130(constB185, bitIndex0)), introduced(assumption)).
% 49.84/32.89 tff(24309,assumption,(~v90(constB185, bitIndex0)), introduced(assumption)).
% 49.84/32.89 tff(24310,plain,
% 49.84/32.89 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB185, bitIndex0) | (~v122(constB185)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB185, bitIndex0) | (~v122(constB185)))),
% 49.84/32.89 inference(rewrite,[status(thm)],[])).
% 49.84/32.89 tff(24311,plain,
% 49.84/32.89 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB185, bitIndex0) | (~v122(constB185)))),
% 49.84/32.89 inference(quant_inst,[status(thm)],[])).
% 49.84/32.89 tff(24312,plain,
% 49.84/32.89 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB185, bitIndex0) | (~v122(constB185))),
% 49.84/32.89 inference(modus_ponens,[status(thm)],[24311, 24310])).
% 49.84/32.89 tff(24313,plain,
% 49.84/32.89 (~v122(constB185)),
% 49.84/32.89 inference(unit_resolution,[status(thm)],[24312, 2921, 24309])).
% 49.84/32.89 tff(24314,assumption,(~v121(constB185)), introduced(assumption)).
% 49.84/32.89 tff(24315,plain,
% 49.84/32.89 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB185, bitIndex0) | v123(constB185) | v121(constB185) | v120(constB185) | v119(constB185) | v122(constB185) | v124(constB185))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB185, bitIndex0) | v123(constB185) | v121(constB185) | v120(constB185) | v119(constB185) | v122(constB185) | v124(constB185))),
% 49.84/32.90 inference(rewrite,[status(thm)],[])).
% 49.84/32.90 tff(24316,plain,
% 49.84/32.90 ((v120(constB185) | v119(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | v130(constB185, bitIndex0)) <=> (v130(constB185, bitIndex0) | v123(constB185) | v121(constB185) | v120(constB185) | v119(constB185) | v122(constB185) | v124(constB185))),
% 49.84/32.90 inference(rewrite,[status(thm)],[])).
% 49.84/32.90 tff(24317,plain,
% 49.84/32.90 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB185) | v119(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | v130(constB185, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB185, bitIndex0) | v123(constB185) | v121(constB185) | v120(constB185) | v119(constB185) | v122(constB185) | v124(constB185)))),
% 49.84/32.90 inference(monotonicity,[status(thm)],[24316])).
% 49.84/32.90 tff(24318,plain,
% 49.84/32.90 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB185) | v119(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | v130(constB185, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB185, bitIndex0) | v123(constB185) | v121(constB185) | v120(constB185) | v119(constB185) | v122(constB185) | v124(constB185))),
% 49.84/32.90 inference(transitivity,[status(thm)],[24317, 24315])).
% 49.84/32.90 tff(24319,plain,
% 49.84/32.90 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB185) | v119(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | v130(constB185, bitIndex0))),
% 49.84/32.90 inference(quant_inst,[status(thm)],[])).
% 49.84/32.90 tff(24320,plain,
% 49.84/32.90 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB185, bitIndex0) | v123(constB185) | v121(constB185) | v120(constB185) | v119(constB185) | v122(constB185) | v124(constB185)),
% 49.84/32.90 inference(modus_ponens,[status(thm)],[24319, 24318])).
% 49.84/32.90 tff(24321,plain,
% 49.84/32.90 (v130(constB185, bitIndex0) | v123(constB185) | v120(constB185) | v119(constB185) | v122(constB185) | v124(constB185)),
% 49.84/32.90 inference(unit_resolution,[status(thm)],[24320, 908, 24314])).
% 49.84/32.90 tff(24322,plain,
% 49.84/32.90 (v119(constB185)),
% 49.84/32.90 inference(unit_resolution,[status(thm)],[24321, 24313, 24308, 24307, 24306, 24305])).
% 49.84/32.90 tff(24323,plain,
% 49.84/32.90 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB185)) | (~v90(constB185, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB185)) | (~v90(constB185, bitIndex2)))),
% 49.84/32.90 inference(rewrite,[status(thm)],[])).
% 49.84/32.90 tff(24324,plain,
% 49.84/32.90 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB185)) | (~v90(constB185, bitIndex2)))),
% 49.84/32.90 inference(quant_inst,[status(thm)],[])).
% 49.84/32.90 tff(24325,plain,
% 49.84/32.90 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB185)) | (~v90(constB185, bitIndex2))),
% 49.84/32.90 inference(modus_ponens,[status(thm)],[24324, 24323])).
% 49.84/32.90 tff(24326,plain,
% 49.84/32.90 (~v90(constB185, bitIndex2)),
% 49.84/32.90 inference(unit_resolution,[status(thm)],[24325, 861, 24322])).
% 49.84/32.90 tff(24327,plain,
% 49.84/32.90 (~v90(constB184, bitIndex2)),
% 49.84/32.90 inference(unit_resolution,[status(thm)],[24109, 24326])).
% 49.84/32.90 tff(24328,assumption,(v100(constB184)), introduced(assumption)).
% 49.84/32.90 tff(24329,plain,
% 49.84/32.90 (v90(constB184, bitIndex2) | (~v129(constB184, bitIndex2))),
% 49.84/32.90 inference(unit_resolution,[status(thm)],[24099, 381, 24328])).
% 49.84/32.90 tff(24330,plain,
% 49.84/32.90 (~v129(constB184, bitIndex2)),
% 49.84/32.90 inference(unit_resolution,[status(thm)],[24329, 24327])).
% 49.84/32.90 tff(24331,plain,
% 49.84/32.90 (~v127(constB183, bitIndex2)),
% 49.84/32.90 inference(unit_resolution,[status(thm)],[24092, 24330])).
% 49.84/32.90 tff(24332,assumption,(~v26(constB183)), introduced(assumption)).
% 49.84/32.90 tff(24333,plain,
% 49.84/32.90 ((~v130(constB183, bitIndex2)) | v127(constB183, bitIndex2)),
% 49.84/32.90 inference(unit_resolution,[status(thm)],[24086, 351, 24332])).
% 49.84/32.90 tff(24334,plain,
% 49.84/32.90 (~v130(constB183, bitIndex2)),
% 49.84/32.90 inference(unit_resolution,[status(thm)],[24333, 24331])).
% 49.84/32.90 tff(24335,plain,
% 49.84/32.90 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB183)) | v130(constB183, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB183)) | v130(constB183, bitIndex2))),
% 49.84/32.90 inference(rewrite,[status(thm)],[])).
% 49.84/32.90 tff(24336,plain,
% 49.84/32.90 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB183)) | v130(constB183, bitIndex2))),
% 49.84/32.90 inference(quant_inst,[status(thm)],[])).
% 49.84/32.90 tff(24337,plain,
% 49.84/32.90 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB183)) | v130(constB183, bitIndex2)),
% 49.84/32.90 inference(modus_ponens,[status(thm)],[24336, 24335])).
% 49.84/32.90 tff(24338,plain,
% 49.84/32.90 (~v119(constB183)),
% 49.84/32.90 inference(unit_resolution,[status(thm)],[24337, 337, 24334])).
% 49.84/32.90 tff(24339,plain,
% 49.84/32.90 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB185)) | (~v90(constB185, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB185)) | (~v90(constB185, bitIndex1)))),
% 49.84/32.90 inference(rewrite,[status(thm)],[])).
% 49.84/32.90 tff(24340,plain,
% 49.84/32.90 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB185)) | (~v90(constB185, bitIndex1)))),
% 49.84/32.90 inference(quant_inst,[status(thm)],[])).
% 49.84/32.90 tff(24341,plain,
% 49.84/32.90 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB185)) | (~v90(constB185, bitIndex1))),
% 49.84/32.90 inference(modus_ponens,[status(thm)],[24340, 24339])).
% 49.84/32.90 tff(24342,plain,
% 49.84/32.90 (~v90(constB185, bitIndex1)),
% 49.84/32.90 inference(unit_resolution,[status(thm)],[24341, 2293, 24322])).
% 49.84/32.90 tff(24343,plain,
% 49.84/32.90 (~v90(constB184, bitIndex1)),
% 49.84/32.90 inference(unit_resolution,[status(thm)],[24078, 24342])).
% 49.84/32.90 tff(24344,plain,
% 49.84/32.90 (v90(constB184, bitIndex1) | (~v129(constB184, bitIndex1))),
% 49.84/32.90 inference(unit_resolution,[status(thm)],[24050, 711, 24328])).
% 49.84/32.90 tff(24345,plain,
% 49.84/32.90 (~v129(constB184, bitIndex1)),
% 49.84/32.90 inference(unit_resolution,[status(thm)],[24344, 24343])).
% 49.84/32.90 tff(24346,plain,
% 49.84/32.90 (~v127(constB183, bitIndex1)),
% 49.84/32.90 inference(unit_resolution,[status(thm)],[23980, 24345])).
% 49.84/32.90 tff(24347,plain,
% 49.84/32.90 ((~v130(constB183, bitIndex1)) | v127(constB183, bitIndex1)),
% 49.84/32.90 inference(unit_resolution,[status(thm)],[23971, 681, 24332])).
% 49.84/32.90 tff(24348,plain,
% 49.84/32.90 (~v130(constB183, bitIndex1)),
% 49.84/32.90 inference(unit_resolution,[status(thm)],[24347, 24346])).
% 49.84/32.90 tff(24349,plain,
% 49.84/32.90 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB183)) | v130(constB183, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB183)) | v130(constB183, bitIndex1))),
% 49.84/32.90 inference(rewrite,[status(thm)],[])).
% 49.84/32.90 tff(24350,plain,
% 49.84/32.90 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB183)) | v130(constB183, bitIndex1))),
% 49.84/32.90 inference(quant_inst,[status(thm)],[])).
% 49.84/32.90 tff(24351,plain,
% 49.84/32.90 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB183)) | v130(constB183, bitIndex1)),
% 49.84/32.90 inference(modus_ponens,[status(thm)],[24350, 24349])).
% 49.84/32.90 tff(24352,plain,
% 49.84/32.90 (~v120(constB183)),
% 49.84/32.90 inference(unit_resolution,[status(thm)],[24351, 1450, 24348])).
% 49.84/32.90 tff(24353,plain,
% 49.84/32.90 (((~![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))),
% 49.84/32.90 inference(rewrite,[status(thm)],[])).
% 49.84/32.90 tff(24354,plain,
% 49.84/32.90 (((~nextState(constB184, constB185)) | (~v90(constB184, bitIndex0)) | v100(constB185) | v90(constB185, bitIndex0)) <=> ((~v90(constB184, bitIndex0)) | (~nextState(constB184, constB185)) | v100(constB185) | v90(constB185, bitIndex0))),
% 49.84/32.90 inference(rewrite,[status(thm)],[])).
% 49.84/32.90 tff(24355,plain,
% 49.84/32.90 (((~![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)))),
% 49.84/32.90 inference(monotonicity,[status(thm)],[24354])).
% 49.84/32.90 tff(24356,plain,
% 49.84/32.90 (((~![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))),
% 49.84/32.90 inference(transitivity,[status(thm)],[24355, 24353])).
% 49.84/32.90 tff(24357,plain,
% 49.84/32.90 ((~![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))),
% 49.84/32.90 inference(quant_inst,[status(thm)],[])).
% 49.84/32.90 tff(24358,plain,
% 49.84/32.90 ((~![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)),
% 49.84/32.90 inference(modus_ponens,[status(thm)],[24357, 24356])).
% 49.84/32.90 tff(24359,plain,
% 49.84/32.90 ((~v90(constB184, bitIndex0)) | v100(constB185) | v90(constB185, bitIndex0)),
% 49.84/32.90 inference(unit_resolution,[status(thm)],[24358, 1124, 24058])).
% 49.84/32.90 tff(24360,plain,
% 49.84/32.90 ((~v90(constB184, bitIndex0)) | v90(constB185, bitIndex0)),
% 49.84/32.90 inference(unit_resolution,[status(thm)],[24359, 24070])).
% 49.84/32.90 tff(24361,plain,
% 49.84/32.90 (~v90(constB184, bitIndex0)),
% 49.84/32.90 inference(unit_resolution,[status(thm)],[24360, 24309])).
% 49.84/32.90 tff(24362,plain,
% 49.84/32.90 (((~![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)))),
% 49.84/32.90 inference(rewrite,[status(thm)],[])).
% 49.84/32.90 tff(24363,plain,
% 49.84/32.90 ((v90(constB184, bitIndex0) | (~v100(constB184)) | (~v129(constB184, bitIndex0))) <=> (v90(constB184, bitIndex0) | (~v129(constB184, bitIndex0)) | (~v100(constB184)))),
% 49.84/32.90 inference(rewrite,[status(thm)],[])).
% 49.84/32.90 tff(24364,plain,
% 49.84/32.90 (((~![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))))),
% 49.84/32.90 inference(monotonicity,[status(thm)],[24363])).
% 49.84/32.90 tff(24365,plain,
% 49.84/32.90 (((~![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)))),
% 49.84/32.90 inference(transitivity,[status(thm)],[24364, 24362])).
% 49.84/32.90 tff(24366,plain,
% 49.84/32.90 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB184, bitIndex0) | (~v100(constB184)) | (~v129(constB184, bitIndex0)))),
% 49.84/32.90 inference(quant_inst,[status(thm)],[])).
% 49.84/32.90 tff(24367,plain,
% 49.84/32.90 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB184, bitIndex0) | (~v129(constB184, bitIndex0)) | (~v100(constB184))),
% 49.84/32.90 inference(modus_ponens,[status(thm)],[24366, 24365])).
% 49.84/32.90 tff(24368,plain,
% 49.84/32.90 (v90(constB184, bitIndex0) | (~v129(constB184, bitIndex0))),
% 49.84/32.90 inference(unit_resolution,[status(thm)],[24367, 1088, 24328])).
% 49.84/32.90 tff(24369,plain,
% 49.84/32.90 (~v129(constB184, bitIndex0)),
% 49.84/32.90 inference(unit_resolution,[status(thm)],[24368, 24361])).
% 49.84/32.90 tff(24370,plain,
% 49.84/32.90 (((~![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))),
% 49.84/32.90 inference(rewrite,[status(thm)],[])).
% 49.84/32.90 tff(24371,plain,
% 49.84/32.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB183, constB184)) | (~v127(constB183, bitIndex0)) | v129(constB184, bitIndex0))),
% 49.84/32.90 inference(quant_inst,[status(thm)],[])).
% 49.84/32.90 tff(24372,plain,
% 49.84/32.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB183, constB184)) | (~v127(constB183, bitIndex0)) | v129(constB184, bitIndex0)),
% 49.84/32.90 inference(modus_ponens,[status(thm)],[24371, 24370])).
% 49.84/32.90 tff(24373,plain,
% 49.84/32.90 ((~v127(constB183, bitIndex0)) | v129(constB184, bitIndex0)),
% 49.84/32.90 inference(unit_resolution,[status(thm)],[24372, 944, 23976])).
% 49.84/32.90 tff(24374,plain,
% 49.84/32.90 (~v127(constB183, bitIndex0)),
% 49.84/32.90 inference(unit_resolution,[status(thm)],[24373, 24369])).
% 49.84/32.90 tff(24375,plain,
% 49.84/32.90 (((~![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))) | v26(constB183) | (~v130(constB183, bitIndex0)) | v127(constB183, bitIndex0))),
% 49.84/32.90 inference(rewrite,[status(thm)],[])).
% 49.84/32.90 tff(24376,plain,
% 49.84/32.90 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB183) | (~v130(constB183, bitIndex0)) | v127(constB183, bitIndex0))),
% 49.84/32.90 inference(quant_inst,[status(thm)],[])).
% 49.84/32.90 tff(24377,plain,
% 49.84/32.90 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB183) | (~v130(constB183, bitIndex0)) | v127(constB183, bitIndex0)),
% 49.84/32.90 inference(modus_ponens,[status(thm)],[24376, 24375])).
% 49.84/32.90 tff(24378,plain,
% 49.84/32.90 ((~v130(constB183, bitIndex0)) | v127(constB183, bitIndex0)),
% 49.84/32.90 inference(unit_resolution,[status(thm)],[24377, 926, 24332])).
% 49.84/32.90 tff(24379,plain,
% 49.84/32.90 (~v130(constB183, bitIndex0)),
% 49.84/32.90 inference(unit_resolution,[status(thm)],[24378, 24374])).
% 49.84/32.90 tff(24380,plain,
% 49.84/32.90 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB183)) | v130(constB183, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB183)) | v130(constB183, bitIndex0))),
% 49.84/32.90 inference(rewrite,[status(thm)],[])).
% 49.84/32.90 tff(24381,plain,
% 49.84/32.90 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB183)) | v130(constB183, bitIndex0))),
% 49.84/32.90 inference(quant_inst,[status(thm)],[])).
% 49.84/32.90 tff(24382,plain,
% 49.84/32.90 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB183)) | v130(constB183, bitIndex0)),
% 49.84/32.90 inference(modus_ponens,[status(thm)],[24381, 24380])).
% 49.84/32.90 tff(24383,plain,
% 49.84/32.90 (~v124(constB183)),
% 49.84/32.90 inference(unit_resolution,[status(thm)],[24382, 3020, 24379])).
% 49.84/32.90 tff(24384,plain,
% 49.84/32.90 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB183)) | v130(constB183, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB183)) | v130(constB183, bitIndex0))),
% 49.84/32.90 inference(rewrite,[status(thm)],[])).
% 49.84/32.90 tff(24385,plain,
% 49.84/32.90 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB183)) | v130(constB183, bitIndex0))),
% 49.84/32.90 inference(quant_inst,[status(thm)],[])).
% 49.84/32.90 tff(24386,plain,
% 49.84/32.90 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB183)) | v130(constB183, bitIndex0)),
% 49.84/32.90 inference(modus_ponens,[status(thm)],[24385, 24384])).
% 49.84/32.90 tff(24387,plain,
% 49.84/32.90 (~v121(constB183)),
% 49.84/32.90 inference(unit_resolution,[status(thm)],[24386, 1748, 24379])).
% 49.84/32.90 tff(24388,plain,
% 49.84/32.90 (~v123(constB183)),
% 49.84/32.90 inference(unit_resolution,[status(thm)],[24082, 836, 24334])).
% 49.84/32.90 tff(24389,plain,
% 49.84/32.90 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB183)) | v130(constB183, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB183)) | v130(constB183, bitIndex2))),
% 49.84/32.90 inference(rewrite,[status(thm)],[])).
% 49.84/32.90 tff(24390,plain,
% 49.84/32.90 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB183)) | v130(constB183, bitIndex2))),
% 49.84/32.90 inference(quant_inst,[status(thm)],[])).
% 49.84/32.90 tff(24391,plain,
% 49.84/32.90 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB183)) | v130(constB183, bitIndex2)),
% 49.84/32.90 inference(modus_ponens,[status(thm)],[24390, 24389])).
% 49.84/32.90 tff(24392,plain,
% 49.84/32.90 (~v122(constB183)),
% 49.84/32.90 inference(unit_resolution,[status(thm)],[24391, 1876, 24334])).
% 49.84/32.90 tff(24393,plain,
% 49.84/32.90 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v123(constB183) | v124(constB183) | v122(constB183) | v121(constB183) | v120(constB183) | v119(constB183) | v130(constB183, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v123(constB183) | v124(constB183) | v122(constB183) | v121(constB183) | v120(constB183) | v119(constB183) | v130(constB183, bitIndex0))),
% 49.84/32.90 inference(rewrite,[status(thm)],[])).
% 49.84/32.90 tff(24394,plain,
% 49.84/32.90 ((v120(constB183) | v119(constB183) | v121(constB183) | v122(constB183) | v123(constB183) | v124(constB183) | v130(constB183, bitIndex0)) <=> (v123(constB183) | v124(constB183) | v122(constB183) | v121(constB183) | v120(constB183) | v119(constB183) | v130(constB183, bitIndex0))),
% 49.84/32.90 inference(rewrite,[status(thm)],[])).
% 49.84/32.90 tff(24395,plain,
% 49.84/32.90 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB183) | v119(constB183) | v121(constB183) | v122(constB183) | v123(constB183) | v124(constB183) | v130(constB183, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v123(constB183) | v124(constB183) | v122(constB183) | v121(constB183) | v120(constB183) | v119(constB183) | v130(constB183, bitIndex0)))),
% 49.84/32.90 inference(monotonicity,[status(thm)],[24394])).
% 49.84/32.90 tff(24396,plain,
% 49.84/32.90 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB183) | v119(constB183) | v121(constB183) | v122(constB183) | v123(constB183) | v124(constB183) | v130(constB183, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v123(constB183) | v124(constB183) | v122(constB183) | v121(constB183) | v120(constB183) | v119(constB183) | v130(constB183, bitIndex0))),
% 49.84/32.90 inference(transitivity,[status(thm)],[24395, 24393])).
% 49.84/32.90 tff(24397,plain,
% 49.84/32.90 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB183) | v119(constB183) | v121(constB183) | v122(constB183) | v123(constB183) | v124(constB183) | v130(constB183, bitIndex0))),
% 49.84/32.90 inference(quant_inst,[status(thm)],[])).
% 49.84/32.90 tff(24398,plain,
% 49.84/32.90 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v123(constB183) | v124(constB183) | v122(constB183) | v121(constB183) | v120(constB183) | v119(constB183) | v130(constB183, bitIndex0)),
% 49.84/32.90 inference(modus_ponens,[status(thm)],[24397, 24396])).
% 49.84/32.90 tff(24399,plain,
% 49.84/32.90 (v123(constB183) | v124(constB183) | v122(constB183) | v121(constB183) | v120(constB183) | v119(constB183)),
% 49.84/32.90 inference(unit_resolution,[status(thm)],[24398, 908, 24379])).
% 49.84/32.90 tff(24400,plain,
% 49.84/32.90 ($false),
% 49.84/32.90 inference(unit_resolution,[status(thm)],[24399, 24392, 24388, 24387, 24383, 24352, 24338])).
% 49.84/32.90 tff(24401,plain,(v90(constB185, bitIndex0) | v26(constB183) | (~v100(constB184)) | v130(constB185, bitIndex0) | v120(constB185) | v123(constB185) | v124(constB185) | v121(constB185)), inference(lemma,lemma(discharge,[]))).
% 49.84/32.90 tff(24402,plain,
% 49.84/32.90 (v90(constB185, bitIndex0) | v26(constB183) | v130(constB185, bitIndex0) | v120(constB185) | v123(constB185) | v124(constB185) | v121(constB185)),
% 49.84/32.90 inference(unit_resolution,[status(thm)],[24401, 24044])).
% 49.84/32.90 tff(24403,plain,
% 49.84/32.90 (v26(constB183) | v130(constB185, bitIndex0) | v123(constB185) | v121(constB185)),
% 49.84/32.90 inference(unit_resolution,[status(thm)],[24402, 24150, 24304, 24300])).
% 49.84/32.90 tff(24404,plain,
% 49.84/32.90 (v26(constB183) | v130(constB185, bitIndex0) | v121(constB185)),
% 49.84/32.90 inference(unit_resolution,[status(thm)],[24403, 24296])).
% 49.84/32.90 tff(24405,plain,
% 49.84/32.90 (v26(constB183) | v130(constB185, bitIndex0)),
% 49.84/32.90 inference(unit_resolution,[status(thm)],[24404, 24256])).
% 49.84/32.90 tff(24406,plain,
% 49.84/32.90 (v130(constB185, bitIndex0)),
% 49.84/32.90 inference(unit_resolution,[status(thm)],[24405, 18398])).
% 49.84/32.90 tff(24407,plain,
% 49.84/32.90 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB185)) | (~v130(constB185, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB185)) | (~v130(constB185, bitIndex0)))),
% 49.84/32.90 inference(rewrite,[status(thm)],[])).
% 49.84/32.90 tff(24408,plain,
% 49.84/32.90 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB185)) | (~v130(constB185, bitIndex0)))),
% 49.84/32.90 inference(quant_inst,[status(thm)],[])).
% 49.84/32.90 tff(24409,plain,
% 49.84/32.90 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB185)) | (~v130(constB185, bitIndex0))),
% 49.84/32.90 inference(modus_ponens,[status(thm)],[24408, 24407])).
% 49.84/32.90 tff(24410,plain,
% 49.84/32.90 (~v119(constB185)),
% 49.84/32.90 inference(unit_resolution,[status(thm)],[24409, 510, 24406])).
% 49.84/32.90 tff(24411,plain,
% 49.84/32.90 (~v122(constB185)),
% 49.84/32.90 inference(unit_resolution,[status(thm)],[24312, 2921, 24150])).
% 49.84/32.90 tff(24412,plain,
% 49.84/32.90 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v123(constB185) | v121(constB185) | v120(constB185) | v119(constB185) | v122(constB185) | v124(constB185) | (~v130(constB185, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v123(constB185) | v121(constB185) | v120(constB185) | v119(constB185) | v122(constB185) | v124(constB185) | (~v130(constB185, bitIndex1)))),
% 49.84/32.90 inference(rewrite,[status(thm)],[])).
% 49.84/32.90 tff(24413,plain,
% 49.84/32.90 ((v120(constB185) | v119(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | (~v130(constB185, bitIndex1))) <=> (v123(constB185) | v121(constB185) | v120(constB185) | v119(constB185) | v122(constB185) | v124(constB185) | (~v130(constB185, bitIndex1)))),
% 49.84/32.90 inference(rewrite,[status(thm)],[])).
% 49.84/32.90 tff(24414,plain,
% 49.84/32.90 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB185) | v119(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | (~v130(constB185, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v123(constB185) | v121(constB185) | v120(constB185) | v119(constB185) | v122(constB185) | v124(constB185) | (~v130(constB185, bitIndex1))))),
% 49.84/32.90 inference(monotonicity,[status(thm)],[24413])).
% 49.84/32.90 tff(24415,plain,
% 49.84/32.90 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB185) | v119(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | (~v130(constB185, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v123(constB185) | v121(constB185) | v120(constB185) | v119(constB185) | v122(constB185) | v124(constB185) | (~v130(constB185, bitIndex1)))),
% 49.84/32.90 inference(transitivity,[status(thm)],[24414, 24412])).
% 49.84/32.90 tff(24416,plain,
% 49.84/32.90 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB185) | v119(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | (~v130(constB185, bitIndex1)))),
% 49.84/32.90 inference(quant_inst,[status(thm)],[])).
% 49.84/32.90 tff(24417,plain,
% 49.84/32.90 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v123(constB185) | v121(constB185) | v120(constB185) | v119(constB185) | v122(constB185) | v124(constB185) | (~v130(constB185, bitIndex1))),
% 49.84/32.90 inference(modus_ponens,[status(thm)],[24416, 24415])).
% 49.84/32.90 tff(24418,plain,
% 49.84/32.90 (v123(constB185) | v121(constB185) | v119(constB185) | (~v130(constB185, bitIndex1))),
% 49.84/32.90 inference(unit_resolution,[status(thm)],[24417, 1143, 24304, 24300, 24411])).
% 49.84/32.90 tff(24419,plain,
% 49.84/32.90 (v121(constB185) | v119(constB185) | (~v130(constB185, bitIndex1))),
% 49.84/32.90 inference(unit_resolution,[status(thm)],[24418, 24296])).
% 49.84/32.90 tff(24420,plain,
% 49.84/32.90 (v119(constB185) | (~v130(constB185, bitIndex1))),
% 49.84/32.90 inference(unit_resolution,[status(thm)],[24419, 24256])).
% 49.84/32.90 tff(24421,plain,
% 49.84/32.90 (~v130(constB185, bitIndex1)),
% 49.84/32.90 inference(unit_resolution,[status(thm)],[24420, 24410])).
% 49.84/32.90 tff(24422,plain,
% 49.84/32.90 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB185, bitIndex1)) | v26(constB185) | v130(constB185, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB185, bitIndex1)) | v26(constB185) | v130(constB185, bitIndex1))),
% 49.84/32.90 inference(rewrite,[status(thm)],[])).
% 49.84/32.90 tff(24423,plain,
% 49.84/32.90 ((v26(constB185) | v130(constB185, bitIndex1) | (~v127(constB185, bitIndex1))) <=> ((~v127(constB185, bitIndex1)) | v26(constB185) | v130(constB185, bitIndex1))),
% 49.84/32.90 inference(rewrite,[status(thm)],[])).
% 49.84/32.90 tff(24424,plain,
% 49.84/32.90 (((~![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)))) | ((~v127(constB185, bitIndex1)) | v26(constB185) | v130(constB185, bitIndex1)))),
% 49.84/32.90 inference(monotonicity,[status(thm)],[24423])).
% 49.84/32.90 tff(24425,plain,
% 49.84/32.90 (((~![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)))) | (~v127(constB185, bitIndex1)) | v26(constB185) | v130(constB185, bitIndex1))),
% 49.84/32.90 inference(transitivity,[status(thm)],[24424, 24422])).
% 49.84/32.90 tff(24426,plain,
% 49.84/32.90 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB185) | v130(constB185, bitIndex1) | (~v127(constB185, bitIndex1)))),
% 49.84/32.90 inference(quant_inst,[status(thm)],[])).
% 49.84/32.90 tff(24427,plain,
% 49.84/32.90 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB185, bitIndex1)) | v26(constB185) | v130(constB185, bitIndex1)),
% 49.84/32.90 inference(modus_ponens,[status(thm)],[24426, 24425])).
% 49.84/32.90 tff(24428,plain,
% 49.84/32.90 ((~v127(constB185, bitIndex1)) | v130(constB185, bitIndex1)),
% 49.84/32.90 inference(unit_resolution,[status(thm)],[24427, 450, 24163])).
% 49.84/32.90 tff(24429,plain,
% 49.84/32.90 (~v127(constB185, bitIndex1)),
% 49.84/32.90 inference(unit_resolution,[status(thm)],[24428, 24421])).
% 49.84/32.90 tff(24430,plain,
% 49.84/32.90 (((~![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)))),
% 49.84/32.90 inference(rewrite,[status(thm)],[])).
% 49.84/32.90 tff(24431,plain,
% 49.84/32.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB185, constB186)) | v127(constB185, bitIndex1) | (~v129(constB186, bitIndex1)))),
% 49.84/32.90 inference(quant_inst,[status(thm)],[])).
% 49.84/32.90 tff(24432,plain,
% 49.84/32.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB185, constB186)) | v127(constB185, bitIndex1) | (~v129(constB186, bitIndex1))),
% 49.84/32.90 inference(modus_ponens,[status(thm)],[24431, 24430])).
% 49.84/32.90 tff(24433,plain,
% 49.84/32.90 (v127(constB185, bitIndex1) | (~v129(constB186, bitIndex1))),
% 49.84/32.90 inference(unit_resolution,[status(thm)],[24432, 468, 24175])).
% 49.84/32.90 tff(24434,plain,
% 49.84/32.90 (~v129(constB186, bitIndex1)),
% 49.84/32.90 inference(unit_resolution,[status(thm)],[24433, 24429])).
% 49.84/32.90 tff(24435,plain,
% 49.84/32.90 (((~![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)))),
% 49.84/32.90 inference(rewrite,[status(thm)],[])).
% 49.84/32.90 tff(24436,plain,
% 49.84/32.90 (((~v90(constB186, bitIndex1)) | (~v100(constB186)) | v129(constB186, bitIndex1)) <=> ((~v90(constB186, bitIndex1)) | v129(constB186, bitIndex1) | (~v100(constB186)))),
% 49.84/32.90 inference(rewrite,[status(thm)],[])).
% 49.84/32.90 tff(24437,plain,
% 49.84/32.90 (((~![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))))),
% 49.84/32.90 inference(monotonicity,[status(thm)],[24436])).
% 49.84/32.90 tff(24438,plain,
% 49.84/32.90 (((~![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)))),
% 49.84/32.90 inference(transitivity,[status(thm)],[24437, 24435])).
% 49.84/32.90 tff(24439,plain,
% 49.84/32.90 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB186, bitIndex1)) | (~v100(constB186)) | v129(constB186, bitIndex1))),
% 49.84/32.91 inference(quant_inst,[status(thm)],[])).
% 49.84/32.91 tff(24440,plain,
% 49.84/32.91 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB186, bitIndex1)) | v129(constB186, bitIndex1) | (~v100(constB186))),
% 49.84/32.91 inference(modus_ponens,[status(thm)],[24439, 24438])).
% 49.84/32.91 tff(24441,plain,
% 49.84/32.91 ((~v90(constB186, bitIndex1)) | (~v100(constB186))),
% 49.84/32.91 inference(unit_resolution,[status(thm)],[24440, 483, 24434])).
% 49.84/32.91 tff(24442,plain,
% 49.84/32.91 (~v90(constB186, bitIndex1)),
% 49.84/32.91 inference(unit_resolution,[status(thm)],[24441, 24209])).
% 49.84/32.91 tff(24443,plain,
% 49.84/32.91 ((~v1(constB187)) <=> (~v1(constB187))),
% 49.84/32.91 inference(rewrite,[status(thm)],[])).
% 49.84/32.91 tff(24444,axiom,(~v1(constB187)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_187_1_1')).
% 49.84/32.91 tff(24445,plain,
% 49.84/32.91 (~v1(constB187)),
% 49.84/32.91 inference(modus_ponens,[status(thm)],[24444, 24443])).
% 49.84/32.91 tff(24446,plain,
% 49.84/32.91 (nextState(constB186, constB187) <=> nextState(constB186, constB187)),
% 49.84/32.91 inference(rewrite,[status(thm)],[])).
% 49.84/32.91 tff(24447,axiom,(nextState(constB186, constB187)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_186_1')).
% 49.84/32.91 tff(24448,plain,
% 49.84/32.91 (nextState(constB186, constB187)),
% 49.84/32.91 inference(modus_ponens,[status(thm)],[24447, 24446])).
% 49.84/32.91 tff(24449,plain,
% 49.84/32.91 (((~![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)))),
% 49.84/32.91 inference(rewrite,[status(thm)],[])).
% 49.84/32.91 tff(24450,plain,
% 49.84/32.91 (((~nextState(constB186, constB187)) | (~v101(constB187)) | v1(constB187)) <=> (v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187)))),
% 49.84/32.91 inference(rewrite,[status(thm)],[])).
% 49.84/32.91 tff(24451,plain,
% 49.84/32.91 (((~![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))))),
% 49.84/32.91 inference(monotonicity,[status(thm)],[24450])).
% 49.84/32.91 tff(24452,plain,
% 49.84/32.91 (((~![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)))),
% 49.84/32.91 inference(transitivity,[status(thm)],[24451, 24449])).
% 49.84/32.91 tff(24453,plain,
% 49.84/32.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB186, constB187)) | (~v101(constB187)) | v1(constB187))),
% 49.84/32.91 inference(quant_inst,[status(thm)],[])).
% 49.84/32.91 tff(24454,plain,
% 49.84/32.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB187) | (~nextState(constB186, constB187)) | (~v101(constB187))),
% 49.84/32.91 inference(modus_ponens,[status(thm)],[24453, 24452])).
% 49.84/32.91 tff(24455,plain,
% 49.84/32.91 (~v101(constB187)),
% 49.84/32.91 inference(unit_resolution,[status(thm)],[24454, 49, 24448, 24445])).
% 49.84/32.91 tff(24456,plain,
% 49.84/32.91 (((~![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)))),
% 49.84/32.91 inference(rewrite,[status(thm)],[])).
% 49.84/32.91 tff(24457,plain,
% 49.84/32.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB186, constB187)) | v101(constB187) | (~v100(constB187)))),
% 49.84/32.91 inference(quant_inst,[status(thm)],[])).
% 49.84/32.91 tff(24458,plain,
% 49.84/32.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB186, constB187)) | v101(constB187) | (~v100(constB187))),
% 49.84/32.91 inference(modus_ponens,[status(thm)],[24457, 24456])).
% 49.84/32.91 tff(24459,plain,
% 49.84/32.91 (v101(constB187) | (~v100(constB187))),
% 49.84/32.91 inference(unit_resolution,[status(thm)],[24458, 66, 24448])).
% 49.84/32.91 tff(24460,plain,
% 49.84/32.91 (~v100(constB187)),
% 49.84/32.91 inference(unit_resolution,[status(thm)],[24459, 24455])).
% 49.84/32.91 tff(24461,plain,
% 49.84/32.91 (((~![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)))),
% 49.84/32.91 inference(rewrite,[status(thm)],[])).
% 49.84/32.91 tff(24462,plain,
% 49.84/32.91 (((~nextState(constB186, constB187)) | v90(constB186, bitIndex1) | v100(constB187) | (~v90(constB187, bitIndex1))) <=> (v90(constB186, bitIndex1) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex1)))),
% 49.84/32.91 inference(rewrite,[status(thm)],[])).
% 49.84/32.91 tff(24463,plain,
% 49.84/32.91 (((~![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))))),
% 49.84/32.91 inference(monotonicity,[status(thm)],[24462])).
% 49.84/32.91 tff(24464,plain,
% 49.84/32.91 (((~![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)))),
% 49.84/32.91 inference(transitivity,[status(thm)],[24463, 24461])).
% 49.84/32.91 tff(24465,plain,
% 49.84/32.91 ((~![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)))),
% 49.84/32.91 inference(quant_inst,[status(thm)],[])).
% 49.84/32.91 tff(24466,plain,
% 49.84/32.91 ((~![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))),
% 49.84/32.91 inference(modus_ponens,[status(thm)],[24465, 24464])).
% 49.84/32.91 tff(24467,plain,
% 49.84/32.91 (v90(constB186, bitIndex1) | v100(constB187) | (~v90(constB187, bitIndex1))),
% 49.84/32.91 inference(unit_resolution,[status(thm)],[24466, 102, 24448])).
% 49.84/32.91 tff(24468,plain,
% 49.84/32.91 (v90(constB186, bitIndex1) | (~v90(constB187, bitIndex1))),
% 49.84/32.91 inference(unit_resolution,[status(thm)],[24467, 24460])).
% 49.84/32.91 tff(24469,plain,
% 49.84/32.91 (~v90(constB187, bitIndex1)),
% 49.84/32.91 inference(unit_resolution,[status(thm)],[24468, 24442])).
% 49.84/32.91 tff(24470,plain,
% 49.84/32.91 (((~![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)))),
% 49.84/32.91 inference(rewrite,[status(thm)],[])).
% 49.84/32.91 tff(24471,plain,
% 49.84/32.91 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB187, bitIndex1) | (~v88(constB187, bitIndex1)))),
% 49.84/32.91 inference(quant_inst,[status(thm)],[])).
% 49.84/32.91 tff(24472,plain,
% 49.84/32.91 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB187, bitIndex1) | (~v88(constB187, bitIndex1))),
% 49.84/32.91 inference(modus_ponens,[status(thm)],[24471, 24470])).
% 49.84/32.91 tff(24473,plain,
% 49.84/32.91 (~v88(constB187, bitIndex1)),
% 49.84/32.91 inference(unit_resolution,[status(thm)],[24472, 10126, 24469])).
% 49.84/32.91 tff(24474,plain,
% 49.84/32.91 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v123(constB185) | v121(constB185) | v120(constB185) | v119(constB185) | v122(constB185) | v124(constB185) | (~v130(constB185, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v123(constB185) | v121(constB185) | v120(constB185) | v119(constB185) | v122(constB185) | v124(constB185) | (~v130(constB185, bitIndex2)))),
% 49.84/32.91 inference(rewrite,[status(thm)],[])).
% 49.84/32.91 tff(24475,plain,
% 49.84/32.91 ((v120(constB185) | v119(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | (~v130(constB185, bitIndex2))) <=> (v123(constB185) | v121(constB185) | v120(constB185) | v119(constB185) | v122(constB185) | v124(constB185) | (~v130(constB185, bitIndex2)))),
% 49.84/32.91 inference(rewrite,[status(thm)],[])).
% 49.84/32.91 tff(24476,plain,
% 49.84/32.91 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB185) | v119(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | (~v130(constB185, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v123(constB185) | v121(constB185) | v120(constB185) | v119(constB185) | v122(constB185) | v124(constB185) | (~v130(constB185, bitIndex2))))),
% 49.84/32.91 inference(monotonicity,[status(thm)],[24475])).
% 49.84/32.91 tff(24477,plain,
% 49.84/32.91 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB185) | v119(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | (~v130(constB185, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v123(constB185) | v121(constB185) | v120(constB185) | v119(constB185) | v122(constB185) | v124(constB185) | (~v130(constB185, bitIndex2)))),
% 49.84/32.91 inference(transitivity,[status(thm)],[24476, 24474])).
% 49.84/32.91 tff(24478,plain,
% 49.84/32.91 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB185) | v119(constB185) | v121(constB185) | v122(constB185) | v123(constB185) | v124(constB185) | (~v130(constB185, bitIndex2)))),
% 49.84/32.91 inference(quant_inst,[status(thm)],[])).
% 49.84/32.91 tff(24479,plain,
% 49.84/32.91 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | v123(constB185) | v121(constB185) | v120(constB185) | v119(constB185) | v122(constB185) | v124(constB185) | (~v130(constB185, bitIndex2))),
% 49.84/32.91 inference(modus_ponens,[status(thm)],[24478, 24477])).
% 49.84/32.91 tff(24480,plain,
% 49.84/32.91 (v123(constB185) | v121(constB185) | v119(constB185) | (~v130(constB185, bitIndex2))),
% 49.84/32.91 inference(unit_resolution,[status(thm)],[24479, 1192, 24304, 24300, 24411])).
% 49.84/32.91 tff(24481,plain,
% 49.84/32.91 (v121(constB185) | v119(constB185) | (~v130(constB185, bitIndex2))),
% 49.84/32.91 inference(unit_resolution,[status(thm)],[24480, 24296])).
% 49.84/32.91 tff(24482,plain,
% 49.84/32.91 (v119(constB185) | (~v130(constB185, bitIndex2))),
% 49.84/32.91 inference(unit_resolution,[status(thm)],[24481, 24256])).
% 49.84/32.91 tff(24483,plain,
% 49.84/32.91 (~v130(constB185, bitIndex2)),
% 49.84/32.91 inference(unit_resolution,[status(thm)],[24482, 24410])).
% 49.84/32.91 tff(24484,plain,
% 49.84/32.91 (((~![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))),
% 49.84/32.91 inference(rewrite,[status(thm)],[])).
% 49.84/32.91 tff(24485,plain,
% 49.84/32.91 ((v26(constB185) | v130(constB185, bitIndex2) | (~v127(constB185, bitIndex2))) <=> ((~v127(constB185, bitIndex2)) | v26(constB185) | v130(constB185, bitIndex2))),
% 49.84/32.91 inference(rewrite,[status(thm)],[])).
% 49.84/32.91 tff(24486,plain,
% 49.84/32.91 (((~![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)))),
% 49.84/32.91 inference(monotonicity,[status(thm)],[24485])).
% 49.84/32.91 tff(24487,plain,
% 49.84/32.91 (((~![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))),
% 49.84/32.91 inference(transitivity,[status(thm)],[24486, 24484])).
% 49.84/32.91 tff(24488,plain,
% 49.84/32.91 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB185) | v130(constB185, bitIndex2) | (~v127(constB185, bitIndex2)))),
% 49.84/32.91 inference(quant_inst,[status(thm)],[])).
% 49.84/32.91 tff(24489,plain,
% 49.84/32.91 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB185, bitIndex2)) | v26(constB185) | v130(constB185, bitIndex2)),
% 49.84/32.91 inference(modus_ponens,[status(thm)],[24488, 24487])).
% 49.84/32.91 tff(24490,plain,
% 49.84/32.91 ((~v127(constB185, bitIndex2)) | v130(constB185, bitIndex2)),
% 49.84/32.91 inference(unit_resolution,[status(thm)],[24489, 1210, 24163])).
% 49.84/32.91 tff(24491,plain,
% 49.84/32.91 (~v127(constB185, bitIndex2)),
% 49.84/32.91 inference(unit_resolution,[status(thm)],[24490, 24483])).
% 49.84/32.91 tff(24492,plain,
% 49.84/32.91 (((~![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)))),
% 49.84/32.91 inference(rewrite,[status(thm)],[])).
% 49.84/32.91 tff(24493,plain,
% 49.84/32.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB185, constB186)) | v127(constB185, bitIndex2) | (~v129(constB186, bitIndex2)))),
% 49.84/32.91 inference(quant_inst,[status(thm)],[])).
% 49.84/32.91 tff(24494,plain,
% 49.84/32.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB185, constB186)) | v127(constB185, bitIndex2) | (~v129(constB186, bitIndex2))),
% 49.84/32.91 inference(modus_ponens,[status(thm)],[24493, 24492])).
% 49.84/32.91 tff(24495,plain,
% 49.84/32.91 (v127(constB185, bitIndex2) | (~v129(constB186, bitIndex2))),
% 49.84/32.91 inference(unit_resolution,[status(thm)],[24494, 1243, 24175])).
% 49.84/32.91 tff(24496,plain,
% 49.84/32.91 (~v129(constB186, bitIndex2)),
% 49.84/32.91 inference(unit_resolution,[status(thm)],[24495, 24491])).
% 49.84/32.91 tff(24497,plain,
% 49.84/32.91 (((~![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)))),
% 49.84/32.91 inference(rewrite,[status(thm)],[])).
% 49.84/32.91 tff(24498,plain,
% 49.84/32.91 (((~v90(constB186, bitIndex2)) | (~v100(constB186)) | v129(constB186, bitIndex2)) <=> ((~v90(constB186, bitIndex2)) | v129(constB186, bitIndex2) | (~v100(constB186)))),
% 49.84/32.91 inference(rewrite,[status(thm)],[])).
% 49.84/32.91 tff(24499,plain,
% 49.84/32.91 (((~![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))))),
% 49.84/32.91 inference(monotonicity,[status(thm)],[24498])).
% 49.84/32.91 tff(24500,plain,
% 49.84/32.91 (((~![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)))),
% 49.84/32.91 inference(transitivity,[status(thm)],[24499, 24497])).
% 49.84/32.91 tff(24501,plain,
% 49.84/32.91 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB186, bitIndex2)) | (~v100(constB186)) | v129(constB186, bitIndex2))),
% 49.84/32.91 inference(quant_inst,[status(thm)],[])).
% 49.84/32.91 tff(24502,plain,
% 49.84/32.91 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB186, bitIndex2)) | v129(constB186, bitIndex2) | (~v100(constB186))),
% 49.84/32.91 inference(modus_ponens,[status(thm)],[24501, 24500])).
% 49.84/32.91 tff(24503,plain,
% 49.84/32.91 ((~v90(constB186, bitIndex2)) | (~v100(constB186))),
% 49.84/32.91 inference(unit_resolution,[status(thm)],[24502, 1258, 24496])).
% 49.84/32.91 tff(24504,plain,
% 49.84/32.91 (~v90(constB186, bitIndex2)),
% 49.84/32.91 inference(unit_resolution,[status(thm)],[24503, 24209])).
% 49.84/32.91 tff(24505,plain,
% 49.84/32.91 (((~![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)))),
% 49.84/32.91 inference(rewrite,[status(thm)],[])).
% 49.84/32.91 tff(24506,plain,
% 49.84/32.91 (((~nextState(constB186, constB187)) | v90(constB186, bitIndex2) | v100(constB187) | (~v90(constB187, bitIndex2))) <=> (v90(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex2)))),
% 49.84/32.91 inference(rewrite,[status(thm)],[])).
% 49.84/32.91 tff(24507,plain,
% 49.84/32.91 (((~![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))))),
% 49.84/32.91 inference(monotonicity,[status(thm)],[24506])).
% 49.84/32.91 tff(24508,plain,
% 49.84/32.91 (((~![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)))),
% 49.84/32.91 inference(transitivity,[status(thm)],[24507, 24505])).
% 49.84/32.91 tff(24509,plain,
% 49.84/32.91 ((~![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)))),
% 49.84/32.91 inference(quant_inst,[status(thm)],[])).
% 49.84/32.91 tff(24510,plain,
% 49.84/32.91 ((~![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))),
% 49.84/32.91 inference(modus_ponens,[status(thm)],[24509, 24508])).
% 49.84/32.91 tff(24511,plain,
% 49.84/32.91 (v90(constB186, bitIndex2) | v100(constB187) | (~v90(constB187, bitIndex2))),
% 49.84/32.91 inference(unit_resolution,[status(thm)],[24510, 81, 24448])).
% 49.84/32.91 tff(24512,plain,
% 49.84/32.91 (v90(constB186, bitIndex2) | (~v90(constB187, bitIndex2))),
% 49.84/32.91 inference(unit_resolution,[status(thm)],[24511, 24460])).
% 49.84/32.91 tff(24513,plain,
% 49.84/32.91 (~v90(constB187, bitIndex2)),
% 49.84/32.91 inference(unit_resolution,[status(thm)],[24512, 24504])).
% 49.84/32.91 tff(24514,plain,
% 49.84/32.91 (((~![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)))),
% 49.84/32.91 inference(rewrite,[status(thm)],[])).
% 49.84/32.91 tff(24515,plain,
% 49.84/32.91 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB187, bitIndex2) | (~v88(constB187, bitIndex2)))),
% 49.84/32.91 inference(quant_inst,[status(thm)],[])).
% 49.84/32.91 tff(24516,plain,
% 49.84/32.91 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB187, bitIndex2) | (~v88(constB187, bitIndex2))),
% 49.84/32.91 inference(modus_ponens,[status(thm)],[24515, 24514])).
% 49.84/32.91 tff(24517,plain,
% 49.84/32.91 (~v88(constB187, bitIndex2)),
% 49.84/32.91 inference(unit_resolution,[status(thm)],[24516, 8769, 24513])).
% 49.84/32.91 tff(24518,plain,
% 49.84/32.91 (((~![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))),
% 49.84/32.91 inference(rewrite,[status(thm)],[])).
% 49.84/32.91 tff(24519,plain,
% 49.84/32.91 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB185) | (~v130(constB185, bitIndex0)) | v127(constB185, bitIndex0))),
% 49.84/32.91 inference(quant_inst,[status(thm)],[])).
% 49.84/32.91 tff(24520,plain,
% 49.84/32.91 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB185) | (~v130(constB185, bitIndex0)) | v127(constB185, bitIndex0)),
% 49.84/32.91 inference(modus_ponens,[status(thm)],[24519, 24518])).
% 49.84/32.91 tff(24521,plain,
% 49.84/32.91 ((~v130(constB185, bitIndex0)) | v127(constB185, bitIndex0)),
% 49.84/32.91 inference(unit_resolution,[status(thm)],[24520, 926, 24163])).
% 49.84/32.91 tff(24522,plain,
% 49.84/32.91 (v127(constB185, bitIndex0)),
% 49.84/32.91 inference(unit_resolution,[status(thm)],[24521, 24406])).
% 49.84/32.91 tff(24523,plain,
% 49.84/32.91 (((~![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))),
% 49.84/32.91 inference(rewrite,[status(thm)],[])).
% 49.84/32.91 tff(24524,plain,
% 49.84/32.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB185, constB186)) | (~v127(constB185, bitIndex0)) | v129(constB186, bitIndex0))),
% 49.84/32.91 inference(quant_inst,[status(thm)],[])).
% 49.84/32.91 tff(24525,plain,
% 49.84/32.91 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB185, constB186)) | (~v127(constB185, bitIndex0)) | v129(constB186, bitIndex0)),
% 49.84/32.91 inference(modus_ponens,[status(thm)],[24524, 24523])).
% 49.84/32.91 tff(24526,plain,
% 49.84/32.91 ((~v127(constB185, bitIndex0)) | v129(constB186, bitIndex0)),
% 49.84/32.91 inference(unit_resolution,[status(thm)],[24525, 944, 24175])).
% 49.84/32.91 tff(24527,plain,
% 49.84/32.91 (v129(constB186, bitIndex0)),
% 49.84/32.91 inference(unit_resolution,[status(thm)],[24526, 24522])).
% 49.84/32.91 tff(24528,plain,
% 49.84/32.91 (((~![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)))),
% 49.84/32.91 inference(rewrite,[status(thm)],[])).
% 49.84/32.91 tff(24529,plain,
% 49.84/32.91 ((v90(constB186, bitIndex0) | (~v100(constB186)) | (~v129(constB186, bitIndex0))) <=> (v90(constB186, bitIndex0) | (~v129(constB186, bitIndex0)) | (~v100(constB186)))),
% 49.84/32.91 inference(rewrite,[status(thm)],[])).
% 49.84/32.91 tff(24530,plain,
% 49.84/32.91 (((~![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))))),
% 49.84/32.91 inference(monotonicity,[status(thm)],[24529])).
% 49.84/32.91 tff(24531,plain,
% 49.84/32.91 (((~![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)))),
% 49.84/32.91 inference(transitivity,[status(thm)],[24530, 24528])).
% 49.84/32.91 tff(24532,plain,
% 49.84/32.91 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB186, bitIndex0) | (~v100(constB186)) | (~v129(constB186, bitIndex0)))),
% 49.84/32.91 inference(quant_inst,[status(thm)],[])).
% 49.84/32.91 tff(24533,plain,
% 49.84/32.91 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB186, bitIndex0) | (~v129(constB186, bitIndex0)) | (~v100(constB186))),
% 49.84/32.91 inference(modus_ponens,[status(thm)],[24532, 24531])).
% 49.84/32.91 tff(24534,plain,
% 49.84/32.91 (v90(constB186, bitIndex0) | (~v100(constB186))),
% 49.84/32.91 inference(unit_resolution,[status(thm)],[24533, 1088, 24527])).
% 49.84/32.91 tff(24535,plain,
% 49.84/32.91 (v90(constB186, bitIndex0)),
% 49.84/32.91 inference(unit_resolution,[status(thm)],[24534, 24209])).
% 49.84/32.91 tff(24536,plain,
% 49.84/32.91 (((~![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))),
% 49.84/32.91 inference(rewrite,[status(thm)],[])).
% 49.84/32.91 tff(24537,plain,
% 49.84/32.91 (((~nextState(constB186, constB187)) | (~v90(constB186, bitIndex0)) | v100(constB187) | v90(constB187, bitIndex0)) <=> ((~v90(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex0))),
% 49.84/32.91 inference(rewrite,[status(thm)],[])).
% 49.84/32.91 tff(24538,plain,
% 49.84/32.91 (((~![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)))),
% 49.84/32.91 inference(monotonicity,[status(thm)],[24537])).
% 49.84/32.91 tff(24539,plain,
% 49.84/32.91 (((~![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))),
% 49.84/32.92 inference(transitivity,[status(thm)],[24538, 24536])).
% 49.84/32.92 tff(24540,plain,
% 49.84/32.92 ((~![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))),
% 49.84/32.92 inference(quant_inst,[status(thm)],[])).
% 49.84/32.92 tff(24541,plain,
% 49.84/32.92 ((~![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)),
% 49.84/32.92 inference(modus_ponens,[status(thm)],[24540, 24539])).
% 49.84/32.92 tff(24542,plain,
% 49.84/32.92 ((~v90(constB186, bitIndex0)) | v100(constB187) | v90(constB187, bitIndex0)),
% 49.84/32.92 inference(unit_resolution,[status(thm)],[24541, 1124, 24448])).
% 49.84/32.92 tff(24543,plain,
% 49.84/32.92 ((~v90(constB186, bitIndex0)) | v90(constB187, bitIndex0)),
% 49.84/32.92 inference(unit_resolution,[status(thm)],[24542, 24460])).
% 49.84/32.92 tff(24544,plain,
% 49.84/32.92 (v90(constB187, bitIndex0)),
% 49.84/32.92 inference(unit_resolution,[status(thm)],[24543, 24535])).
% 49.84/32.92 tff(24545,plain,
% 49.84/32.92 (((~![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))),
% 49.84/32.92 inference(rewrite,[status(thm)],[])).
% 49.84/32.92 tff(24546,plain,
% 49.84/32.92 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB187, bitIndex0)) | v88(constB187, bitIndex0))),
% 49.84/32.92 inference(quant_inst,[status(thm)],[])).
% 49.84/32.92 tff(24547,plain,
% 49.84/32.92 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB187, bitIndex0)) | v88(constB187, bitIndex0)),
% 49.84/32.92 inference(modus_ponens,[status(thm)],[24546, 24545])).
% 49.84/32.92 tff(24548,plain,
% 49.84/32.92 (v88(constB187, bitIndex0)),
% 49.84/32.92 inference(unit_resolution,[status(thm)],[24547, 8662, 24544])).
% 49.84/32.92 tff(24549,plain,
% 49.84/32.92 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB187, bitIndex2) | (~v88(constB187, bitIndex0)) | v88(constB187, bitIndex1) | v140(constB187))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB187, bitIndex2) | (~v88(constB187, bitIndex0)) | v88(constB187, bitIndex1) | v140(constB187))),
% 49.84/32.92 inference(rewrite,[status(thm)],[])).
% 49.84/32.92 tff(24550,plain,
% 49.84/32.92 ((v88(constB187, bitIndex2) | v88(constB187, bitIndex1) | (~v88(constB187, bitIndex0)) | v140(constB187)) <=> (v88(constB187, bitIndex2) | (~v88(constB187, bitIndex0)) | v88(constB187, bitIndex1) | v140(constB187))),
% 49.84/32.92 inference(rewrite,[status(thm)],[])).
% 49.84/32.92 tff(24551,plain,
% 49.84/32.92 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB187, bitIndex2) | v88(constB187, bitIndex1) | (~v88(constB187, bitIndex0)) | v140(constB187))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB187, bitIndex2) | (~v88(constB187, bitIndex0)) | v88(constB187, bitIndex1) | v140(constB187)))),
% 49.84/32.92 inference(monotonicity,[status(thm)],[24550])).
% 49.84/32.92 tff(24552,plain,
% 49.84/32.92 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB187, bitIndex2) | v88(constB187, bitIndex1) | (~v88(constB187, bitIndex0)) | v140(constB187))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB187, bitIndex2) | (~v88(constB187, bitIndex0)) | v88(constB187, bitIndex1) | v140(constB187))),
% 49.84/32.92 inference(transitivity,[status(thm)],[24551, 24549])).
% 49.84/32.92 tff(24553,plain,
% 49.84/32.92 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB187, bitIndex2) | v88(constB187, bitIndex1) | (~v88(constB187, bitIndex0)) | v140(constB187))),
% 49.84/32.92 inference(quant_inst,[status(thm)],[])).
% 49.84/32.92 tff(24554,plain,
% 49.84/32.92 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB187, bitIndex2) | (~v88(constB187, bitIndex0)) | v88(constB187, bitIndex1) | v140(constB187)),
% 49.84/32.92 inference(modus_ponens,[status(thm)],[24553, 24552])).
% 49.84/32.92 tff(24555,plain,
% 49.84/32.92 (v140(constB187)),
% 49.84/32.92 inference(unit_resolution,[status(thm)],[24554, 10178, 24548, 24517, 24473])).
% 49.84/32.92 tff(24556,plain,
% 49.84/32.92 (((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB187) | (~v140(constB187)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB187) | (~v140(constB187)))),
% 49.84/32.92 inference(rewrite,[status(thm)],[])).
% 49.84/32.92 tff(24557,plain,
% 49.84/32.92 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB187) | (~v140(constB187)))),
% 49.84/32.92 inference(quant_inst,[status(thm)],[])).
% 49.84/32.92 tff(24558,plain,
% 49.84/32.92 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB187) | (~v140(constB187))),
% 49.84/32.92 inference(modus_ponens,[status(thm)],[24557, 24556])).
% 49.84/32.92 tff(24559,plain,
% 49.84/32.92 (v200(constB187)),
% 49.84/32.92 inference(unit_resolution,[status(thm)],[24558, 10192, 24555])).
% 49.84/32.92 tff(24560,plain,
% 49.84/32.92 (((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB187) | (~v200(constB187)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB187) | (~v200(constB187)))),
% 49.84/32.92 inference(rewrite,[status(thm)],[])).
% 49.84/32.92 tff(24561,plain,
% 49.84/32.92 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB187) | (~v200(constB187)))),
% 49.84/32.92 inference(quant_inst,[status(thm)],[])).
% 49.84/32.92 tff(24562,plain,
% 49.84/32.92 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB187) | (~v200(constB187))),
% 49.84/32.92 inference(modus_ponens,[status(thm)],[24561, 24560])).
% 49.84/32.92 tff(24563,plain,
% 49.84/32.92 (v199(constB187)),
% 49.84/32.92 inference(unit_resolution,[status(thm)],[24562, 10203, 24559])).
% 49.84/32.92 tff(24564,plain,
% 49.84/32.92 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB187) | (~v199(constB187)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB187) | (~v199(constB187)))),
% 49.84/32.92 inference(rewrite,[status(thm)],[])).
% 49.84/32.92 tff(24565,plain,
% 49.84/32.92 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB187) | (~v199(constB187)))),
% 49.84/32.92 inference(quant_inst,[status(thm)],[])).
% 49.84/32.92 tff(24566,plain,
% 49.84/32.92 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB187) | (~v199(constB187))),
% 49.84/32.92 inference(modus_ponens,[status(thm)],[24565, 24564])).
% 49.84/32.92 tff(24567,plain,
% 49.84/32.92 (v198(constB187)),
% 49.84/32.92 inference(unit_resolution,[status(thm)],[24566, 8809, 24563])).
% 49.84/32.92 tff(24568,plain,
% 49.84/32.92 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB187)) | (~v201(constB187)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB187)) | (~v201(constB187)))),
% 49.84/32.92 inference(rewrite,[status(thm)],[])).
% 49.84/32.92 tff(24569,plain,
% 49.84/32.92 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB187)) | (~v201(constB187)))),
% 49.84/32.92 inference(quant_inst,[status(thm)],[])).
% 49.84/32.92 tff(24570,plain,
% 49.84/32.92 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB187)) | (~v201(constB187))),
% 49.84/32.92 inference(modus_ponens,[status(thm)],[24569, 24568])).
% 49.84/32.92 tff(24571,plain,
% 49.84/32.92 (~v201(constB187)),
% 49.84/32.92 inference(unit_resolution,[status(thm)],[24570, 8823, 24567])).
% 49.84/32.92 tff(24572,plain,
% 49.84/32.92 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB187) | (~v198(constB187)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB187) | (~v198(constB187)))),
% 49.84/32.92 inference(rewrite,[status(thm)],[])).
% 49.84/32.92 tff(24573,plain,
% 49.84/32.92 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB187) | (~v198(constB187)))),
% 49.84/32.92 inference(quant_inst,[status(thm)],[])).
% 49.84/32.92 tff(24574,plain,
% 49.84/32.92 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB187) | (~v198(constB187))),
% 49.84/32.92 inference(modus_ponens,[status(thm)],[24573, 24572])).
% 49.84/32.92 tff(24575,plain,
% 49.84/32.92 (v197(constB187)),
% 49.84/32.92 inference(unit_resolution,[status(thm)],[24574, 8834, 24567])).
% 49.84/32.92 tff(24576,plain,
% 49.84/32.92 (((~![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))),
% 49.84/32.92 inference(rewrite,[status(thm)],[])).
% 49.84/32.92 tff(24577,plain,
% 49.84/32.92 (((~v197(constB187)) | v201(constB187) | v227(constB187)) <=> (v227(constB187) | (~v197(constB187)) | v201(constB187))),
% 49.84/32.92 inference(rewrite,[status(thm)],[])).
% 49.84/32.92 tff(24578,plain,
% 49.84/32.92 (((~![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)))),
% 49.84/32.92 inference(monotonicity,[status(thm)],[24577])).
% 49.84/32.92 tff(24579,plain,
% 49.84/32.92 (((~![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))),
% 49.84/32.92 inference(transitivity,[status(thm)],[24578, 24576])).
% 49.84/32.92 tff(24580,plain,
% 49.84/32.92 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB187)) | v201(constB187) | v227(constB187))),
% 49.84/32.92 inference(quant_inst,[status(thm)],[])).
% 49.84/32.92 tff(24581,plain,
% 49.84/32.92 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB187) | (~v197(constB187)) | v201(constB187)),
% 49.84/32.92 inference(modus_ponens,[status(thm)],[24580, 24579])).
% 49.84/32.92 tff(24582,plain,
% 49.84/32.92 (v227(constB187)),
% 49.84/32.92 inference(unit_resolution,[status(thm)],[24581, 8848, 24575, 24571])).
% 49.84/32.92 tff(24583,plain,
% 49.84/32.92 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB187)) | (~v223(constB187, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB187)) | (~v223(constB187, bitIndex0)))),
% 49.84/32.92 inference(rewrite,[status(thm)],[])).
% 49.84/32.92 tff(24584,plain,
% 49.84/32.92 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB187)) | (~v223(constB187, bitIndex0)))),
% 49.84/32.92 inference(quant_inst,[status(thm)],[])).
% 49.84/32.92 tff(24585,plain,
% 49.84/32.92 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB187)) | (~v223(constB187, bitIndex0))),
% 49.84/32.92 inference(modus_ponens,[status(thm)],[24584, 24583])).
% 49.84/32.92 tff(24586,plain,
% 49.84/32.92 (~v223(constB187, bitIndex0)),
% 49.84/32.92 inference(unit_resolution,[status(thm)],[24585, 8862, 24582])).
% 49.84/32.92 tff(24587,plain,
% 49.84/32.92 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB187)) | (~v199(constB187)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB187)) | (~v199(constB187)))),
% 49.84/32.92 inference(rewrite,[status(thm)],[])).
% 49.84/32.92 tff(24588,plain,
% 49.84/32.92 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB187)) | (~v199(constB187)))),
% 49.84/32.92 inference(quant_inst,[status(thm)],[])).
% 49.84/32.92 tff(24589,plain,
% 49.84/32.92 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB187)) | (~v199(constB187))),
% 49.84/32.92 inference(modus_ponens,[status(thm)],[24588, 24587])).
% 49.84/32.92 tff(24590,plain,
% 49.84/32.92 (~v183(constB187)),
% 49.84/32.92 inference(unit_resolution,[status(thm)],[24589, 8873, 24563])).
% 49.84/32.92 tff(24591,plain,
% 49.84/32.92 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB187) | (~v197(constB187)) | v183(constB187))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB187) | (~v197(constB187)) | v183(constB187))),
% 49.84/32.92 inference(rewrite,[status(thm)],[])).
% 49.84/32.92 tff(24592,plain,
% 49.84/32.92 (((~v197(constB187)) | v183(constB187) | v228(constB187)) <=> (v228(constB187) | (~v197(constB187)) | v183(constB187))),
% 49.84/32.92 inference(rewrite,[status(thm)],[])).
% 49.84/32.92 tff(24593,plain,
% 49.84/32.92 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB187)) | v183(constB187) | v228(constB187))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB187) | (~v197(constB187)) | v183(constB187)))),
% 49.84/32.92 inference(monotonicity,[status(thm)],[24592])).
% 49.84/32.92 tff(24594,plain,
% 49.84/32.92 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB187)) | v183(constB187) | v228(constB187))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB187) | (~v197(constB187)) | v183(constB187))),
% 49.84/32.92 inference(transitivity,[status(thm)],[24593, 24591])).
% 49.84/32.92 tff(24595,plain,
% 49.84/32.92 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB187)) | v183(constB187) | v228(constB187))),
% 49.84/32.92 inference(quant_inst,[status(thm)],[])).
% 49.84/32.92 tff(24596,plain,
% 49.84/32.92 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB187) | (~v197(constB187)) | v183(constB187)),
% 49.84/32.92 inference(modus_ponens,[status(thm)],[24595, 24594])).
% 49.84/32.92 tff(24597,plain,
% 49.84/32.92 (v228(constB187)),
% 49.84/32.92 inference(unit_resolution,[status(thm)],[24596, 8887, 24575, 24590])).
% 49.84/32.92 tff(24598,plain,
% 49.84/32.92 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB187)) | (~v223(constB187, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB187)) | (~v223(constB187, bitIndex1)))),
% 49.84/32.92 inference(rewrite,[status(thm)],[])).
% 49.84/32.92 tff(24599,plain,
% 49.84/32.92 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB187)) | (~v223(constB187, bitIndex1)))),
% 49.84/32.92 inference(quant_inst,[status(thm)],[])).
% 49.84/32.92 tff(24600,plain,
% 49.84/32.92 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB187)) | (~v223(constB187, bitIndex1))),
% 49.84/32.92 inference(modus_ponens,[status(thm)],[24599, 24598])).
% 49.84/32.92 tff(24601,plain,
% 49.84/32.92 (~v223(constB187, bitIndex1)),
% 49.84/32.92 inference(unit_resolution,[status(thm)],[24600, 8901, 24597])).
% 49.84/32.92 tff(24602,plain,
% 49.84/32.92 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB187, bitIndex1) | (~v229(constB187)) | v223(constB187, bitIndex0))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB187, bitIndex1) | (~v229(constB187)) | v223(constB187, bitIndex0))),
% 49.84/32.92 inference(rewrite,[status(thm)],[])).
% 49.84/32.92 tff(24603,plain,
% 49.84/32.92 ((v223(constB187, bitIndex0) | v223(constB187, bitIndex1) | (~v229(constB187))) <=> (v223(constB187, bitIndex1) | (~v229(constB187)) | v223(constB187, bitIndex0))),
% 49.84/32.92 inference(rewrite,[status(thm)],[])).
% 49.84/32.92 tff(24604,plain,
% 49.84/32.92 (((~![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, bitIndex1) | (~v229(constB187)) | v223(constB187, bitIndex0)))),
% 49.84/32.92 inference(monotonicity,[status(thm)],[24603])).
% 49.84/32.92 tff(24605,plain,
% 49.84/32.92 (((~![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, bitIndex1) | (~v229(constB187)) | v223(constB187, bitIndex0))),
% 49.84/32.92 inference(transitivity,[status(thm)],[24604, 24602])).
% 49.84/32.92 tff(24606,plain,
% 49.84/32.92 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB187, bitIndex0) | v223(constB187, bitIndex1) | (~v229(constB187)))),
% 49.84/32.92 inference(quant_inst,[status(thm)],[])).
% 49.84/32.92 tff(24607,plain,
% 49.84/32.92 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB187, bitIndex1) | (~v229(constB187)) | v223(constB187, bitIndex0)),
% 49.84/32.92 inference(modus_ponens,[status(thm)],[24606, 24605])).
% 49.84/32.92 tff(24608,plain,
% 49.84/32.92 (~v229(constB187)),
% 49.84/32.92 inference(unit_resolution,[status(thm)],[24607, 8915, 24601, 24586])).
% 49.84/32.92 tff(24609,plain,
% 49.84/32.92 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB187) | (~v225(constB187)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB187) | (~v225(constB187)))),
% 49.84/32.92 inference(rewrite,[status(thm)],[])).
% 49.84/32.92 tff(24610,plain,
% 49.84/32.92 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB187) | (~v225(constB187)))),
% 49.84/32.92 inference(quant_inst,[status(thm)],[])).
% 49.84/32.92 tff(24611,plain,
% 49.84/32.92 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB187) | (~v225(constB187))),
% 49.84/32.92 inference(modus_ponens,[status(thm)],[24610, 24609])).
% 49.84/32.92 tff(24612,plain,
% 49.84/32.92 (~v225(constB187)),
% 49.84/32.92 inference(unit_resolution,[status(thm)],[24611, 8929, 24608])).
% 49.84/32.92 tff(24613,plain,
% 49.84/32.92 (((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB187)) | (~v200(constB187)))) <=> ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB187)) | (~v200(constB187)))),
% 49.84/32.92 inference(rewrite,[status(thm)],[])).
% 49.84/32.92 tff(24614,plain,
% 49.84/32.92 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB187)) | (~v200(constB187)))),
% 49.84/32.92 inference(quant_inst,[status(thm)],[])).
% 49.84/32.92 tff(24615,plain,
% 49.84/32.92 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB187)) | (~v200(constB187))),
% 49.84/32.92 inference(modus_ponens,[status(thm)],[24614, 24613])).
% 49.84/32.92 tff(24616,plain,
% 49.84/32.92 (~v166(constB187)),
% 49.84/32.92 inference(unit_resolution,[status(thm)],[24615, 10263, 24559])).
% 49.84/32.92 tff(24617,plain,
% 49.84/32.92 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB187) | v166(constB187) | (~v197(constB187)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB187) | v166(constB187) | (~v197(constB187)))),
% 49.84/32.92 inference(rewrite,[status(thm)],[])).
% 49.84/32.92 tff(24618,plain,
% 49.84/32.92 (((~v197(constB187)) | v166(constB187) | v241(constB187)) <=> (v241(constB187) | v166(constB187) | (~v197(constB187)))),
% 49.84/32.92 inference(rewrite,[status(thm)],[])).
% 49.84/32.92 tff(24619,plain,
% 49.84/32.92 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB187)) | v166(constB187) | v241(constB187))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB187) | v166(constB187) | (~v197(constB187))))),
% 49.84/32.92 inference(monotonicity,[status(thm)],[24618])).
% 49.84/32.92 tff(24620,plain,
% 49.84/32.92 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB187)) | v166(constB187) | v241(constB187))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB187) | v166(constB187) | (~v197(constB187)))),
% 49.84/32.92 inference(transitivity,[status(thm)],[24619, 24617])).
% 49.84/32.92 tff(24621,plain,
% 49.84/32.92 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB187)) | v166(constB187) | v241(constB187))),
% 49.84/32.92 inference(quant_inst,[status(thm)],[])).
% 49.84/32.92 tff(24622,plain,
% 49.84/32.92 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB187) | v166(constB187) | (~v197(constB187))),
% 49.84/32.92 inference(modus_ponens,[status(thm)],[24621, 24620])).
% 49.84/32.92 tff(24623,plain,
% 49.84/32.92 (v241(constB187) | (~v197(constB187))),
% 49.84/32.92 inference(unit_resolution,[status(thm)],[24622, 10277, 24616])).
% 49.84/32.92 tff(24624,plain,
% 49.84/32.92 (v241(constB187)),
% 49.84/32.92 inference(unit_resolution,[status(thm)],[24623, 24575])).
% 49.84/32.92 tff(24625,plain,
% 49.84/32.92 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB187)) | (~v223(constB187, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB187)) | (~v223(constB187, bitIndex2)))),
% 49.84/32.92 inference(rewrite,[status(thm)],[])).
% 49.84/32.92 tff(24626,plain,
% 49.84/32.92 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB187)) | (~v223(constB187, bitIndex2)))),
% 49.84/32.92 inference(quant_inst,[status(thm)],[])).
% 49.84/32.92 tff(24627,plain,
% 49.84/32.92 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB187)) | (~v223(constB187, bitIndex2))),
% 49.84/32.92 inference(modus_ponens,[status(thm)],[24626, 24625])).
% 49.84/32.92 tff(24628,plain,
% 49.84/32.92 (~v223(constB187, bitIndex2)),
% 49.84/32.92 inference(unit_resolution,[status(thm)],[24627, 10292, 24624])).
% 49.84/32.92 tff(24629,plain,
% 49.84/32.92 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v223(constB187, bitIndex2) | (~v242(constB187)) | v225(constB187))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v223(constB187, bitIndex2) | (~v242(constB187)) | v225(constB187))),
% 49.84/32.92 inference(rewrite,[status(thm)],[])).
% 49.84/32.92 tff(24630,plain,
% 49.84/32.92 ((v225(constB187) | v223(constB187, bitIndex2) | (~v242(constB187))) <=> (v223(constB187, bitIndex2) | (~v242(constB187)) | v225(constB187))),
% 49.84/32.92 inference(rewrite,[status(thm)],[])).
% 49.84/32.92 tff(24631,plain,
% 49.84/32.92 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB187) | v223(constB187, bitIndex2) | (~v242(constB187)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v223(constB187, bitIndex2) | (~v242(constB187)) | v225(constB187)))),
% 49.84/32.92 inference(monotonicity,[status(thm)],[24630])).
% 49.84/32.92 tff(24632,plain,
% 49.84/32.92 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB187) | v223(constB187, bitIndex2) | (~v242(constB187)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v223(constB187, bitIndex2) | (~v242(constB187)) | v225(constB187))),
% 49.84/32.92 inference(transitivity,[status(thm)],[24631, 24629])).
% 49.84/32.92 tff(24633,plain,
% 49.84/32.92 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB187) | v223(constB187, bitIndex2) | (~v242(constB187)))),
% 49.84/32.92 inference(quant_inst,[status(thm)],[])).
% 49.84/32.92 tff(24634,plain,
% 49.84/32.92 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v223(constB187, bitIndex2) | (~v242(constB187)) | v225(constB187)),
% 49.84/32.92 inference(modus_ponens,[status(thm)],[24633, 24632])).
% 49.84/32.92 tff(24635,plain,
% 49.84/32.92 ((~v242(constB187)) | v225(constB187)),
% 49.84/32.92 inference(unit_resolution,[status(thm)],[24634, 10306, 24628])).
% 49.84/32.92 tff(24636,plain,
% 49.84/32.92 (~v242(constB187)),
% 49.84/32.92 inference(unit_resolution,[status(thm)],[24635, 24612])).
% 49.84/32.92 tff(24637,plain,
% 49.84/32.92 (((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB187) | (~v238(constB187)))) <=> ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB187) | (~v238(constB187)))),
% 49.84/32.92 inference(rewrite,[status(thm)],[])).
% 49.84/32.92 tff(24638,plain,
% 49.84/32.92 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB187) | (~v238(constB187)))),
% 49.84/32.92 inference(quant_inst,[status(thm)],[])).
% 49.84/32.92 tff(24639,plain,
% 49.84/32.92 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB187) | (~v238(constB187))),
% 49.84/32.92 inference(modus_ponens,[status(thm)],[24638, 24637])).
% 49.84/32.92 tff(24640,plain,
% 49.84/32.92 (~v238(constB187)),
% 49.84/32.92 inference(unit_resolution,[status(thm)],[24639, 10318, 24636])).
% 49.84/32.92 tff(24641,plain,
% 49.84/32.92 (((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB187) | (~v237(constB187)))) <=> ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB187) | (~v237(constB187)))),
% 49.84/32.92 inference(rewrite,[status(thm)],[])).
% 49.84/32.92 tff(24642,plain,
% 49.84/32.92 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB187) | (~v237(constB187)))),
% 49.84/32.92 inference(quant_inst,[status(thm)],[])).
% 49.84/32.92 tff(24643,plain,
% 49.84/32.92 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB187) | (~v237(constB187))),
% 49.84/32.92 inference(modus_ponens,[status(thm)],[24642, 24641])).
% 49.84/32.92 tff(24644,plain,
% 49.84/32.92 (~v237(constB187)),
% 49.84/32.92 inference(unit_resolution,[status(thm)],[24643, 10329, 24640])).
% 49.84/32.92 tff(24645,plain,
% 49.84/32.92 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB187)) | v223(constB187, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB187)) | v223(constB187, bitIndex2))),
% 49.84/32.92 inference(rewrite,[status(thm)],[])).
% 49.84/32.92 tff(24646,plain,
% 49.84/32.92 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB187)) | v223(constB187, bitIndex2))),
% 49.84/32.92 inference(quant_inst,[status(thm)],[])).
% 49.84/32.92 tff(24647,plain,
% 49.84/32.92 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB187)) | v223(constB187, bitIndex2)),
% 49.84/32.92 inference(modus_ponens,[status(thm)],[24646, 24645])).
% 49.84/32.92 tff(24648,plain,
% 49.84/32.92 (~v224(constB187)),
% 49.84/32.92 inference(unit_resolution,[status(thm)],[24647, 10343, 24628])).
% 49.84/32.92 tff(24649,plain,
% 49.84/32.92 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB187)) | v223(constB187, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB187)) | v223(constB187, bitIndex1))),
% 49.84/32.92 inference(rewrite,[status(thm)],[])).
% 49.84/32.92 tff(24650,plain,
% 49.84/32.92 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB187)) | v223(constB187, bitIndex1))),
% 49.84/32.92 inference(quant_inst,[status(thm)],[])).
% 49.84/32.92 tff(24651,plain,
% 49.84/32.92 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB187)) | v223(constB187, bitIndex1)),
% 49.84/32.92 inference(modus_ponens,[status(thm)],[24650, 24649])).
% 49.84/32.92 tff(24652,plain,
% 49.84/32.92 (~v222(constB187)),
% 49.84/32.92 inference(unit_resolution,[status(thm)],[24651, 8954, 24601])).
% 49.84/32.92 tff(24653,plain,
% 49.84/32.92 (((~![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)))),
% 49.84/32.92 inference(rewrite,[status(thm)],[])).
% 49.84/32.92 tff(24654,plain,
% 49.84/32.92 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB187) | v224(constB187) | (~v236(constB187)))),
% 49.84/32.92 inference(quant_inst,[status(thm)],[])).
% 49.84/32.92 tff(24655,plain,
% 49.84/32.92 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB187) | v224(constB187) | (~v236(constB187))),
% 49.84/32.92 inference(modus_ponens,[status(thm)],[24654, 24653])).
% 49.84/32.92 tff(24656,plain,
% 49.84/32.92 (~v236(constB187)),
% 49.84/32.92 inference(unit_resolution,[status(thm)],[24655, 8968, 24652, 24648])).
% 49.84/32.92 tff(24657,plain,
% 49.84/32.92 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB187) | (~v232(constB187)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB187) | (~v232(constB187)))),
% 49.84/32.92 inference(rewrite,[status(thm)],[])).
% 49.84/32.92 tff(24658,plain,
% 49.84/32.92 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB187) | (~v232(constB187)))),
% 49.84/32.92 inference(quant_inst,[status(thm)],[])).
% 49.84/32.92 tff(24659,plain,
% 49.84/32.92 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB187) | (~v232(constB187))),
% 49.84/32.92 inference(modus_ponens,[status(thm)],[24658, 24657])).
% 49.84/32.92 tff(24660,plain,
% 49.84/32.92 (~v232(constB187)),
% 49.84/32.92 inference(unit_resolution,[status(thm)],[24659, 8980, 24656])).
% 49.84/32.92 tff(24661,plain,
% 49.84/32.92 (((~![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)))),
% 49.84/32.92 inference(rewrite,[status(thm)],[])).
% 49.84/32.92 tff(24662,plain,
% 49.84/32.92 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB187) | v232(constB187) | (~v248(constB187)))),
% 49.84/32.92 inference(quant_inst,[status(thm)],[])).
% 49.84/32.92 tff(24663,plain,
% 49.84/32.92 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB187) | v232(constB187) | (~v248(constB187))),
% 49.84/32.92 inference(modus_ponens,[status(thm)],[24662, 24661])).
% 49.84/32.92 tff(24664,plain,
% 49.84/32.92 (v237(constB187) | (~v248(constB187))),
% 49.84/32.92 inference(unit_resolution,[status(thm)],[24663, 9076, 24660])).
% 49.84/32.92 tff(24665,plain,
% 49.84/32.92 (~v248(constB187)),
% 49.84/32.92 inference(unit_resolution,[status(thm)],[24664, 24644])).
% 49.84/32.92 tff(24666,plain,
% 49.84/32.92 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB187) | (~v244(constB187)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB187) | (~v244(constB187)))),
% 49.84/32.92 inference(rewrite,[status(thm)],[])).
% 49.84/32.92 tff(24667,plain,
% 49.84/32.92 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB187) | (~v244(constB187)))),
% 49.84/32.92 inference(quant_inst,[status(thm)],[])).
% 49.84/32.92 tff(24668,plain,
% 49.84/32.92 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB187) | (~v244(constB187))),
% 49.84/32.92 inference(modus_ponens,[status(thm)],[24667, 24666])).
% 49.84/32.92 tff(24669,plain,
% 49.84/32.92 (~v244(constB187)),
% 49.84/32.92 inference(unit_resolution,[status(thm)],[24668, 11335, 24665])).
% 49.84/32.92 tff(24670,plain,
% 49.84/32.92 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB187) | (~v216(constB187, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB187) | (~v216(constB187, bitIndex1)))),
% 49.84/32.92 inference(rewrite,[status(thm)],[])).
% 49.84/32.92 tff(24671,plain,
% 49.84/32.92 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB187) | (~v216(constB187, bitIndex1)))),
% 49.84/32.92 inference(quant_inst,[status(thm)],[])).
% 49.84/32.92 tff(24672,plain,
% 49.84/32.92 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB187) | (~v216(constB187, bitIndex1))),
% 49.84/32.92 inference(modus_ponens,[status(thm)],[24671, 24670])).
% 49.84/32.92 tff(24673,plain,
% 49.84/32.92 (~v216(constB187, bitIndex1)),
% 49.84/32.92 inference(unit_resolution,[status(thm)],[24672, 11346, 24669])).
% 49.84/32.92 tff(24674,plain,
% 49.84/32.92 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB187, bitIndex1) | (~v254(constB187)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB187, bitIndex1) | (~v254(constB187)))),
% 49.84/32.92 inference(rewrite,[status(thm)],[])).
% 49.84/32.92 tff(24675,plain,
% 49.84/32.92 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB187, bitIndex1) | (~v254(constB187)))),
% 49.84/32.92 inference(quant_inst,[status(thm)],[])).
% 49.84/32.92 tff(24676,plain,
% 49.84/32.92 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB187, bitIndex1) | (~v254(constB187))),
% 49.84/32.92 inference(modus_ponens,[status(thm)],[24675, 24674])).
% 49.84/32.92 tff(24677,plain,
% 49.84/32.92 (~v254(constB187)),
% 49.84/32.92 inference(unit_resolution,[status(thm)],[24676, 11357, 24673])).
% 49.84/32.92 tff(24678,plain,
% 49.84/32.92 (^[VarCurr: $i] : refl((v232(VarCurr) | (~v231(VarCurr))) <=> (v232(VarCurr) | (~v231(VarCurr))))),
% 49.84/32.92 inference(bind,[status(th)],[])).
% 49.84/32.92 tff(24679,plain,
% 49.84/32.92 (![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr))) <=> ![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))),
% 49.84/32.92 inference(quant_intro,[status(thm)],[24678])).
% 49.84/32.92 tff(24680,plain,
% 49.84/32.92 (![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr))) <=> ![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))),
% 49.84/32.92 inference(rewrite,[status(thm)],[])).
% 49.84/32.92 tff(24681,axiom,(![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_67_1_3')).
% 49.84/32.92 tff(24682,plain,
% 49.84/32.92 (![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))),
% 49.84/32.92 inference(modus_ponens,[status(thm)],[24681, 24680])).
% 49.84/32.92 tff(24683,plain,(
% 49.84/32.92 ![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))),
% 49.84/32.92 inference(skolemize,[status(sab)],[24682])).
% 49.84/32.92 tff(24684,plain,
% 49.84/32.92 (![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))),
% 49.84/32.92 inference(modus_ponens,[status(thm)],[24683, 24679])).
% 49.84/32.92 tff(24685,plain,
% 49.84/32.92 (((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB187) | (~v231(constB187)))) <=> ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB187) | (~v231(constB187)))),
% 49.84/32.92 inference(rewrite,[status(thm)],[])).
% 49.84/32.92 tff(24686,plain,
% 49.84/32.92 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB187) | (~v231(constB187)))),
% 49.84/32.92 inference(quant_inst,[status(thm)],[])).
% 49.84/32.92 tff(24687,plain,
% 49.84/32.92 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB187) | (~v231(constB187))),
% 49.84/32.92 inference(modus_ponens,[status(thm)],[24686, 24685])).
% 49.84/32.92 tff(24688,plain,
% 49.84/32.92 (~v231(constB187)),
% 49.84/32.92 inference(unit_resolution,[status(thm)],[24687, 24684, 24660])).
% 49.84/32.92 tff(24689,plain,
% 49.84/32.92 (((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB187) | (~v221(constB187)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB187) | (~v221(constB187)))),
% 49.84/32.92 inference(rewrite,[status(thm)],[])).
% 49.84/32.92 tff(24690,plain,
% 49.84/32.92 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB187) | (~v221(constB187)))),
% 49.84/32.92 inference(quant_inst,[status(thm)],[])).
% 49.84/32.92 tff(24691,plain,
% 49.84/32.92 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB187) | (~v221(constB187))),
% 49.84/32.92 inference(modus_ponens,[status(thm)],[24690, 24689])).
% 49.84/32.92 tff(24692,plain,
% 49.84/32.92 (~v221(constB187)),
% 49.84/32.92 inference(unit_resolution,[status(thm)],[24691, 11192, 24652])).
% 49.84/32.92 tff(24693,plain,
% 49.84/32.92 (((~![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)))),
% 49.84/32.92 inference(rewrite,[status(thm)],[])).
% 49.84/32.92 tff(24694,plain,
% 49.84/32.92 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB187) | v231(constB187) | (~v243(constB187)))),
% 49.84/32.92 inference(quant_inst,[status(thm)],[])).
% 49.84/32.92 tff(24695,plain,
% 49.84/32.92 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB187) | v231(constB187) | (~v243(constB187))),
% 49.84/32.92 inference(modus_ponens,[status(thm)],[24694, 24693])).
% 49.84/32.92 tff(24696,plain,
% 49.84/32.92 (v231(constB187) | (~v243(constB187))),
% 49.84/32.92 inference(unit_resolution,[status(thm)],[24695, 11206, 24692])).
% 49.84/32.92 tff(24697,plain,
% 49.84/32.92 (~v243(constB187)),
% 49.84/32.92 inference(unit_resolution,[status(thm)],[24696, 24688])).
% 49.84/32.92 tff(24698,plain,
% 49.84/32.92 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB187) | v255(constB187))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB187) | v255(constB187))),
% 49.84/32.92 inference(rewrite,[status(thm)],[])).
% 49.84/32.92 tff(24699,plain,
% 49.84/32.92 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB187) | v255(constB187))),
% 49.84/32.92 inference(quant_inst,[status(thm)],[])).
% 49.84/32.92 tff(24700,plain,
% 49.84/32.92 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB187) | v255(constB187)),
% 49.84/32.92 inference(modus_ponens,[status(thm)],[24699, 24698])).
% 49.84/32.92 tff(24701,plain,
% 49.84/32.92 (v255(constB187)),
% 49.84/32.92 inference(unit_resolution,[status(thm)],[24700, 11222, 24697])).
% 49.84/32.92 tff(24702,plain,
% 49.84/32.92 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB187)) | (~v216(constB187, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB187)) | (~v216(constB187, bitIndex2)))),
% 49.84/32.92 inference(rewrite,[status(thm)],[])).
% 49.84/32.92 tff(24703,plain,
% 49.84/32.92 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB187)) | (~v216(constB187, bitIndex2)))),
% 49.84/32.92 inference(quant_inst,[status(thm)],[])).
% 49.84/32.92 tff(24704,plain,
% 49.84/32.92 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB187)) | (~v216(constB187, bitIndex2))),
% 49.84/32.92 inference(modus_ponens,[status(thm)],[24703, 24702])).
% 49.84/32.92 tff(24705,plain,
% 49.84/32.92 (~v216(constB187, bitIndex2)),
% 49.84/32.92 inference(unit_resolution,[status(thm)],[24704, 11237, 24701])).
% 49.84/32.92 tff(24706,plain,
% 49.84/32.92 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v254(constB187) | v216(constB187, bitIndex2) | (~v215(constB187)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB187) | v216(constB187, bitIndex2) | (~v215(constB187)))),
% 49.84/32.92 inference(rewrite,[status(thm)],[])).
% 49.84/32.92 tff(24707,plain,
% 49.84/32.92 ((v216(constB187, bitIndex2) | v254(constB187) | (~v215(constB187))) <=> (v254(constB187) | v216(constB187, bitIndex2) | (~v215(constB187)))),
% 49.84/32.92 inference(rewrite,[status(thm)],[])).
% 49.84/32.92 tff(24708,plain,
% 49.84/32.92 (((~![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)))) | (v254(constB187) | v216(constB187, bitIndex2) | (~v215(constB187))))),
% 49.84/32.92 inference(monotonicity,[status(thm)],[24707])).
% 49.84/32.92 tff(24709,plain,
% 49.84/32.92 (((~![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)))) | v254(constB187) | v216(constB187, bitIndex2) | (~v215(constB187)))),
% 49.84/32.93 inference(transitivity,[status(thm)],[24708, 24706])).
% 49.84/32.93 tff(24710,plain,
% 49.84/32.93 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB187, bitIndex2) | v254(constB187) | (~v215(constB187)))),
% 49.84/32.93 inference(quant_inst,[status(thm)],[])).
% 49.84/32.93 tff(24711,plain,
% 49.84/32.93 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB187) | v216(constB187, bitIndex2) | (~v215(constB187))),
% 49.84/32.93 inference(modus_ponens,[status(thm)],[24710, 24709])).
% 49.84/32.93 tff(24712,plain,
% 49.84/32.93 (v254(constB187) | (~v215(constB187))),
% 49.84/32.93 inference(unit_resolution,[status(thm)],[24711, 11278, 24705])).
% 49.84/32.93 tff(24713,plain,
% 49.84/32.93 (~v215(constB187)),
% 49.84/32.93 inference(unit_resolution,[status(thm)],[24712, 24677])).
% 49.84/32.93 tff(24714,plain,
% 49.84/32.93 ($false),
% 49.84/32.93 inference(unit_resolution,[status(thm)],[24713, 18394])).
% 49.84/32.93 tff(24715,plain,(~(constB187 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 49.84/32.93 tff(24716,assumption,(constB97 = sK0_VarCurr), introduced(assumption)).
% 49.84/32.93 tff(24717,plain,
% 49.84/32.93 (v215(constB97) <=> v215(sK0_VarCurr)),
% 49.84/32.93 inference(monotonicity,[status(thm)],[24716])).
% 49.84/32.93 tff(24718,plain,
% 49.84/32.93 (v215(sK0_VarCurr) <=> v215(constB97)),
% 49.84/32.93 inference(symmetry,[status(thm)],[24717])).
% 49.84/32.93 tff(24719,plain,
% 49.84/32.93 (v215(constB97)),
% 49.84/32.93 inference(modus_ponens,[status(thm)],[11268, 24718])).
% 49.84/32.93 tff(24720,plain,
% 49.84/32.93 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB97, bitIndex2) | (~v88(constB97, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB97, bitIndex2) | (~v88(constB97, bitIndex2)))),
% 49.84/32.93 inference(rewrite,[status(thm)],[])).
% 49.84/32.93 tff(24721,plain,
% 49.84/32.93 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB97, bitIndex2) | (~v88(constB97, bitIndex2)))),
% 49.84/32.93 inference(quant_inst,[status(thm)],[])).
% 49.84/32.93 tff(24722,plain,
% 49.84/32.93 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB97, bitIndex2) | (~v88(constB97, bitIndex2))),
% 49.84/32.93 inference(modus_ponens,[status(thm)],[24721, 24720])).
% 49.84/32.93 tff(24723,plain,
% 49.84/32.93 (~v88(constB97, bitIndex2)),
% 49.84/32.93 inference(unit_resolution,[status(thm)],[24722, 8769, 14540])).
% 49.84/32.93 tff(24724,plain,
% 49.84/32.93 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB97, bitIndex1) | (~v88(constB97, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB97, bitIndex1) | (~v88(constB97, bitIndex1)))),
% 49.84/32.93 inference(rewrite,[status(thm)],[])).
% 49.84/32.93 tff(24725,plain,
% 49.84/32.93 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB97, bitIndex1) | (~v88(constB97, bitIndex1)))),
% 49.84/32.93 inference(quant_inst,[status(thm)],[])).
% 49.84/32.93 tff(24726,plain,
% 49.84/32.93 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB97, bitIndex1) | (~v88(constB97, bitIndex1))),
% 49.84/32.93 inference(modus_ponens,[status(thm)],[24725, 24724])).
% 49.84/32.93 tff(24727,plain,
% 49.84/32.93 (~v88(constB97, bitIndex1)),
% 49.84/32.93 inference(unit_resolution,[status(thm)],[24726, 10126, 14578])).
% 49.84/32.93 tff(24728,plain,
% 49.84/32.93 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB97, bitIndex0)) | v88(constB97, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB97, bitIndex0)) | v88(constB97, bitIndex0))),
% 49.84/32.93 inference(rewrite,[status(thm)],[])).
% 49.84/32.93 tff(24729,plain,
% 49.84/32.93 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB97, bitIndex0)) | v88(constB97, bitIndex0))),
% 49.84/32.93 inference(quant_inst,[status(thm)],[])).
% 49.84/32.93 tff(24730,plain,
% 49.84/32.93 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB97, bitIndex0)) | v88(constB97, bitIndex0)),
% 49.84/32.93 inference(modus_ponens,[status(thm)],[24729, 24728])).
% 49.84/32.93 tff(24731,plain,
% 49.84/32.93 (v88(constB97, bitIndex0)),
% 49.84/32.93 inference(unit_resolution,[status(thm)],[24730, 8662, 14613])).
% 49.84/32.93 tff(24732,plain,
% 49.84/32.93 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB97, bitIndex1) | v88(constB97, bitIndex2) | (~v88(constB97, bitIndex0)) | v140(constB97))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB97, bitIndex1) | v88(constB97, bitIndex2) | (~v88(constB97, bitIndex0)) | v140(constB97))),
% 49.84/32.93 inference(rewrite,[status(thm)],[])).
% 49.84/32.93 tff(24733,plain,
% 49.84/32.93 ((v88(constB97, bitIndex2) | v88(constB97, bitIndex1) | (~v88(constB97, bitIndex0)) | v140(constB97)) <=> (v88(constB97, bitIndex1) | v88(constB97, bitIndex2) | (~v88(constB97, bitIndex0)) | v140(constB97))),
% 49.84/32.93 inference(rewrite,[status(thm)],[])).
% 49.84/32.93 tff(24734,plain,
% 49.84/32.93 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB97, bitIndex2) | v88(constB97, bitIndex1) | (~v88(constB97, bitIndex0)) | v140(constB97))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB97, bitIndex1) | v88(constB97, bitIndex2) | (~v88(constB97, bitIndex0)) | v140(constB97)))),
% 49.84/32.93 inference(monotonicity,[status(thm)],[24733])).
% 49.84/32.93 tff(24735,plain,
% 49.84/32.93 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB97, bitIndex2) | v88(constB97, bitIndex1) | (~v88(constB97, bitIndex0)) | v140(constB97))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB97, bitIndex1) | v88(constB97, bitIndex2) | (~v88(constB97, bitIndex0)) | v140(constB97))),
% 49.84/32.93 inference(transitivity,[status(thm)],[24734, 24732])).
% 49.84/32.93 tff(24736,plain,
% 49.84/32.93 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB97, bitIndex2) | v88(constB97, bitIndex1) | (~v88(constB97, bitIndex0)) | v140(constB97))),
% 49.84/32.93 inference(quant_inst,[status(thm)],[])).
% 49.84/32.93 tff(24737,plain,
% 49.84/32.93 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB97, bitIndex1) | v88(constB97, bitIndex2) | (~v88(constB97, bitIndex0)) | v140(constB97)),
% 49.84/32.93 inference(modus_ponens,[status(thm)],[24736, 24735])).
% 49.84/32.93 tff(24738,plain,
% 49.84/32.93 (v140(constB97)),
% 49.84/32.93 inference(unit_resolution,[status(thm)],[24737, 10178, 24731, 24727, 24723])).
% 49.84/32.93 tff(24739,plain,
% 49.84/32.93 (((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB97) | (~v140(constB97)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB97) | (~v140(constB97)))),
% 49.84/32.93 inference(rewrite,[status(thm)],[])).
% 49.84/32.93 tff(24740,plain,
% 49.84/32.93 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB97) | (~v140(constB97)))),
% 49.84/32.93 inference(quant_inst,[status(thm)],[])).
% 49.84/32.93 tff(24741,plain,
% 49.84/32.93 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB97) | (~v140(constB97))),
% 49.84/32.93 inference(modus_ponens,[status(thm)],[24740, 24739])).
% 49.84/32.93 tff(24742,plain,
% 49.84/32.93 (v200(constB97)),
% 49.84/32.93 inference(unit_resolution,[status(thm)],[24741, 10192, 24738])).
% 49.84/32.93 tff(24743,plain,
% 49.84/32.93 (((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB97) | (~v200(constB97)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB97) | (~v200(constB97)))),
% 49.84/32.93 inference(rewrite,[status(thm)],[])).
% 49.84/32.93 tff(24744,plain,
% 49.84/32.93 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB97) | (~v200(constB97)))),
% 49.84/32.93 inference(quant_inst,[status(thm)],[])).
% 49.84/32.93 tff(24745,plain,
% 49.84/32.93 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB97) | (~v200(constB97))),
% 49.84/32.93 inference(modus_ponens,[status(thm)],[24744, 24743])).
% 49.84/32.93 tff(24746,plain,
% 49.84/32.93 (v199(constB97)),
% 49.84/32.93 inference(unit_resolution,[status(thm)],[24745, 10203, 24742])).
% 49.84/32.93 tff(24747,plain,
% 49.84/32.93 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB97) | (~v199(constB97)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB97) | (~v199(constB97)))),
% 49.84/32.93 inference(rewrite,[status(thm)],[])).
% 49.84/32.93 tff(24748,plain,
% 49.84/32.93 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB97) | (~v199(constB97)))),
% 49.84/32.93 inference(quant_inst,[status(thm)],[])).
% 49.84/32.93 tff(24749,plain,
% 49.84/32.93 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB97) | (~v199(constB97))),
% 49.84/32.93 inference(modus_ponens,[status(thm)],[24748, 24747])).
% 49.84/32.93 tff(24750,plain,
% 49.84/32.93 (v198(constB97)),
% 49.84/32.93 inference(unit_resolution,[status(thm)],[24749, 8809, 24746])).
% 49.84/32.93 tff(24751,plain,
% 49.84/32.93 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB97)) | (~v201(constB97)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB97)) | (~v201(constB97)))),
% 49.84/32.93 inference(rewrite,[status(thm)],[])).
% 49.84/32.93 tff(24752,plain,
% 49.84/32.93 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB97)) | (~v201(constB97)))),
% 49.84/32.93 inference(quant_inst,[status(thm)],[])).
% 49.84/32.93 tff(24753,plain,
% 49.84/32.93 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB97)) | (~v201(constB97))),
% 49.84/32.93 inference(modus_ponens,[status(thm)],[24752, 24751])).
% 49.84/32.93 tff(24754,plain,
% 49.84/32.93 (~v201(constB97)),
% 49.84/32.93 inference(unit_resolution,[status(thm)],[24753, 8823, 24750])).
% 49.84/32.93 tff(24755,plain,
% 49.84/32.93 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB97) | (~v198(constB97)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB97) | (~v198(constB97)))),
% 49.84/32.93 inference(rewrite,[status(thm)],[])).
% 49.84/32.93 tff(24756,plain,
% 49.84/32.93 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB97) | (~v198(constB97)))),
% 49.84/32.93 inference(quant_inst,[status(thm)],[])).
% 49.84/32.93 tff(24757,plain,
% 49.84/32.93 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB97) | (~v198(constB97))),
% 49.84/32.93 inference(modus_ponens,[status(thm)],[24756, 24755])).
% 49.84/32.93 tff(24758,plain,
% 49.84/32.93 (v197(constB97)),
% 49.84/32.93 inference(unit_resolution,[status(thm)],[24757, 8834, 24750])).
% 49.84/32.93 tff(24759,plain,
% 49.84/32.93 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB97) | (~v197(constB97)) | v201(constB97))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB97) | (~v197(constB97)) | v201(constB97))),
% 49.84/32.93 inference(rewrite,[status(thm)],[])).
% 49.84/32.93 tff(24760,plain,
% 49.84/32.93 (((~v197(constB97)) | v201(constB97) | v227(constB97)) <=> (v227(constB97) | (~v197(constB97)) | v201(constB97))),
% 49.84/32.93 inference(rewrite,[status(thm)],[])).
% 49.84/32.93 tff(24761,plain,
% 49.84/32.93 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB97)) | v201(constB97) | v227(constB97))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB97) | (~v197(constB97)) | v201(constB97)))),
% 49.84/32.93 inference(monotonicity,[status(thm)],[24760])).
% 49.84/32.93 tff(24762,plain,
% 49.84/32.93 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB97)) | v201(constB97) | v227(constB97))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB97) | (~v197(constB97)) | v201(constB97))),
% 49.84/32.93 inference(transitivity,[status(thm)],[24761, 24759])).
% 49.84/32.93 tff(24763,plain,
% 49.84/32.93 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB97)) | v201(constB97) | v227(constB97))),
% 49.84/32.93 inference(quant_inst,[status(thm)],[])).
% 49.84/32.93 tff(24764,plain,
% 49.84/32.93 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB97) | (~v197(constB97)) | v201(constB97)),
% 49.84/32.93 inference(modus_ponens,[status(thm)],[24763, 24762])).
% 49.84/32.93 tff(24765,plain,
% 49.84/32.93 (v227(constB97)),
% 49.84/32.93 inference(unit_resolution,[status(thm)],[24764, 8848, 24758, 24754])).
% 49.84/32.93 tff(24766,plain,
% 49.84/32.93 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB97)) | (~v223(constB97, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB97)) | (~v223(constB97, bitIndex0)))),
% 49.84/32.93 inference(rewrite,[status(thm)],[])).
% 49.84/32.93 tff(24767,plain,
% 49.84/32.93 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB97)) | (~v223(constB97, bitIndex0)))),
% 49.84/32.93 inference(quant_inst,[status(thm)],[])).
% 49.84/32.93 tff(24768,plain,
% 49.84/32.93 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB97)) | (~v223(constB97, bitIndex0))),
% 49.84/32.93 inference(modus_ponens,[status(thm)],[24767, 24766])).
% 49.84/32.93 tff(24769,plain,
% 49.84/32.93 (~v223(constB97, bitIndex0)),
% 49.84/32.93 inference(unit_resolution,[status(thm)],[24768, 8862, 24765])).
% 49.84/32.93 tff(24770,plain,
% 49.84/32.93 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB97)) | (~v199(constB97)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB97)) | (~v199(constB97)))),
% 49.84/32.93 inference(rewrite,[status(thm)],[])).
% 49.84/32.93 tff(24771,plain,
% 49.84/32.93 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB97)) | (~v199(constB97)))),
% 49.84/32.93 inference(quant_inst,[status(thm)],[])).
% 49.84/32.93 tff(24772,plain,
% 49.84/32.93 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB97)) | (~v199(constB97))),
% 49.84/32.93 inference(modus_ponens,[status(thm)],[24771, 24770])).
% 49.84/32.93 tff(24773,plain,
% 49.84/32.93 (~v183(constB97)),
% 49.84/32.93 inference(unit_resolution,[status(thm)],[24772, 8873, 24746])).
% 49.84/32.93 tff(24774,plain,
% 49.84/32.93 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB97) | v183(constB97) | (~v197(constB97)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB97) | v183(constB97) | (~v197(constB97)))),
% 49.84/32.93 inference(rewrite,[status(thm)],[])).
% 49.84/32.93 tff(24775,plain,
% 49.84/32.93 (((~v197(constB97)) | v183(constB97) | v228(constB97)) <=> (v228(constB97) | v183(constB97) | (~v197(constB97)))),
% 49.84/32.93 inference(rewrite,[status(thm)],[])).
% 49.84/32.93 tff(24776,plain,
% 49.84/32.93 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB97)) | v183(constB97) | v228(constB97))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB97) | v183(constB97) | (~v197(constB97))))),
% 49.84/32.93 inference(monotonicity,[status(thm)],[24775])).
% 49.84/32.93 tff(24777,plain,
% 49.84/32.93 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB97)) | v183(constB97) | v228(constB97))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB97) | v183(constB97) | (~v197(constB97)))),
% 49.84/32.93 inference(transitivity,[status(thm)],[24776, 24774])).
% 49.84/32.93 tff(24778,plain,
% 49.84/32.93 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB97)) | v183(constB97) | v228(constB97))),
% 49.84/32.93 inference(quant_inst,[status(thm)],[])).
% 49.84/32.93 tff(24779,plain,
% 49.84/32.93 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB97) | v183(constB97) | (~v197(constB97))),
% 49.84/32.93 inference(modus_ponens,[status(thm)],[24778, 24777])).
% 49.84/32.93 tff(24780,plain,
% 49.84/32.93 (v228(constB97)),
% 49.84/32.93 inference(unit_resolution,[status(thm)],[24779, 8887, 24758, 24773])).
% 49.84/32.93 tff(24781,plain,
% 49.84/32.93 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB97)) | (~v223(constB97, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB97)) | (~v223(constB97, bitIndex1)))),
% 49.84/32.93 inference(rewrite,[status(thm)],[])).
% 49.84/32.93 tff(24782,plain,
% 49.84/32.93 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB97)) | (~v223(constB97, bitIndex1)))),
% 49.84/32.93 inference(quant_inst,[status(thm)],[])).
% 49.84/32.93 tff(24783,plain,
% 49.84/32.93 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB97)) | (~v223(constB97, bitIndex1))),
% 49.84/32.93 inference(modus_ponens,[status(thm)],[24782, 24781])).
% 49.84/32.93 tff(24784,plain,
% 49.84/32.93 (~v223(constB97, bitIndex1)),
% 49.84/32.93 inference(unit_resolution,[status(thm)],[24783, 8901, 24780])).
% 49.84/32.93 tff(24785,plain,
% 49.84/32.93 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB97, bitIndex1) | v223(constB97, bitIndex0) | (~v229(constB97)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB97, bitIndex1) | v223(constB97, bitIndex0) | (~v229(constB97)))),
% 49.84/32.93 inference(rewrite,[status(thm)],[])).
% 49.84/32.93 tff(24786,plain,
% 49.84/32.93 ((v223(constB97, bitIndex0) | v223(constB97, bitIndex1) | (~v229(constB97))) <=> (v223(constB97, bitIndex1) | v223(constB97, bitIndex0) | (~v229(constB97)))),
% 49.84/32.93 inference(rewrite,[status(thm)],[])).
% 49.84/32.93 tff(24787,plain,
% 49.84/32.93 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB97, bitIndex0) | v223(constB97, bitIndex1) | (~v229(constB97)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB97, bitIndex1) | v223(constB97, bitIndex0) | (~v229(constB97))))),
% 49.84/32.93 inference(monotonicity,[status(thm)],[24786])).
% 49.84/32.93 tff(24788,plain,
% 49.84/32.93 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB97, bitIndex0) | v223(constB97, bitIndex1) | (~v229(constB97)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB97, bitIndex1) | v223(constB97, bitIndex0) | (~v229(constB97)))),
% 49.84/32.93 inference(transitivity,[status(thm)],[24787, 24785])).
% 49.84/32.93 tff(24789,plain,
% 49.84/32.93 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB97, bitIndex0) | v223(constB97, bitIndex1) | (~v229(constB97)))),
% 49.84/32.93 inference(quant_inst,[status(thm)],[])).
% 49.84/32.93 tff(24790,plain,
% 49.84/32.93 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB97, bitIndex1) | v223(constB97, bitIndex0) | (~v229(constB97))),
% 49.84/32.93 inference(modus_ponens,[status(thm)],[24789, 24788])).
% 49.84/32.93 tff(24791,plain,
% 49.84/32.93 (~v229(constB97)),
% 49.84/32.93 inference(unit_resolution,[status(thm)],[24790, 8915, 24784, 24769])).
% 49.84/32.93 tff(24792,plain,
% 49.84/32.93 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB97) | (~v225(constB97)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB97) | (~v225(constB97)))),
% 49.84/32.93 inference(rewrite,[status(thm)],[])).
% 49.84/32.93 tff(24793,plain,
% 49.84/32.93 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB97) | (~v225(constB97)))),
% 49.84/32.93 inference(quant_inst,[status(thm)],[])).
% 49.84/32.93 tff(24794,plain,
% 49.84/32.93 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB97) | (~v225(constB97))),
% 49.84/32.93 inference(modus_ponens,[status(thm)],[24793, 24792])).
% 49.84/32.93 tff(24795,plain,
% 49.84/32.93 (~v225(constB97)),
% 49.84/32.93 inference(unit_resolution,[status(thm)],[24794, 8929, 24791])).
% 49.84/32.93 tff(24796,plain,
% 49.84/32.93 (((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB97)) | (~v200(constB97)))) <=> ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB97)) | (~v200(constB97)))),
% 49.84/32.93 inference(rewrite,[status(thm)],[])).
% 49.84/32.93 tff(24797,plain,
% 49.84/32.93 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB97)) | (~v200(constB97)))),
% 49.84/32.93 inference(quant_inst,[status(thm)],[])).
% 49.84/32.93 tff(24798,plain,
% 49.84/32.93 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB97)) | (~v200(constB97))),
% 49.84/32.93 inference(modus_ponens,[status(thm)],[24797, 24796])).
% 49.84/32.93 tff(24799,plain,
% 49.84/32.93 (~v166(constB97)),
% 49.84/32.93 inference(unit_resolution,[status(thm)],[24798, 10263, 24742])).
% 49.84/32.93 tff(24800,plain,
% 49.84/32.93 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB97) | v166(constB97) | (~v197(constB97)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB97) | v166(constB97) | (~v197(constB97)))),
% 49.84/32.93 inference(rewrite,[status(thm)],[])).
% 49.84/32.93 tff(24801,plain,
% 49.84/32.93 (((~v197(constB97)) | v166(constB97) | v241(constB97)) <=> (v241(constB97) | v166(constB97) | (~v197(constB97)))),
% 49.84/32.93 inference(rewrite,[status(thm)],[])).
% 49.84/32.93 tff(24802,plain,
% 49.84/32.93 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB97)) | v166(constB97) | v241(constB97))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB97) | v166(constB97) | (~v197(constB97))))),
% 49.84/32.93 inference(monotonicity,[status(thm)],[24801])).
% 49.84/32.93 tff(24803,plain,
% 49.84/32.93 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB97)) | v166(constB97) | v241(constB97))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB97) | v166(constB97) | (~v197(constB97)))),
% 49.84/32.93 inference(transitivity,[status(thm)],[24802, 24800])).
% 49.84/32.93 tff(24804,plain,
% 49.84/32.93 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB97)) | v166(constB97) | v241(constB97))),
% 49.84/32.93 inference(quant_inst,[status(thm)],[])).
% 49.84/32.93 tff(24805,plain,
% 49.84/32.93 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB97) | v166(constB97) | (~v197(constB97))),
% 49.84/32.93 inference(modus_ponens,[status(thm)],[24804, 24803])).
% 49.84/32.93 tff(24806,plain,
% 49.84/32.93 (v241(constB97) | (~v197(constB97))),
% 49.84/32.93 inference(unit_resolution,[status(thm)],[24805, 10277, 24799])).
% 49.84/32.93 tff(24807,plain,
% 49.84/32.93 (v241(constB97)),
% 49.84/32.93 inference(unit_resolution,[status(thm)],[24806, 24758])).
% 49.84/32.93 tff(24808,plain,
% 49.84/32.93 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB97)) | (~v223(constB97, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB97)) | (~v223(constB97, bitIndex2)))),
% 49.84/32.93 inference(rewrite,[status(thm)],[])).
% 49.84/32.93 tff(24809,plain,
% 49.84/32.93 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB97)) | (~v223(constB97, bitIndex2)))),
% 49.84/32.93 inference(quant_inst,[status(thm)],[])).
% 49.84/32.93 tff(24810,plain,
% 49.84/32.93 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB97)) | (~v223(constB97, bitIndex2))),
% 49.84/32.93 inference(modus_ponens,[status(thm)],[24809, 24808])).
% 49.84/32.93 tff(24811,plain,
% 49.84/32.93 (~v223(constB97, bitIndex2)),
% 49.84/32.93 inference(unit_resolution,[status(thm)],[24810, 10292, 24807])).
% 49.84/32.93 tff(24812,plain,
% 49.84/32.93 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v223(constB97, bitIndex2) | (~v242(constB97)) | v225(constB97))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v223(constB97, bitIndex2) | (~v242(constB97)) | v225(constB97))),
% 49.84/32.93 inference(rewrite,[status(thm)],[])).
% 49.84/32.93 tff(24813,plain,
% 49.84/32.93 ((v225(constB97) | v223(constB97, bitIndex2) | (~v242(constB97))) <=> (v223(constB97, bitIndex2) | (~v242(constB97)) | v225(constB97))),
% 49.84/32.93 inference(rewrite,[status(thm)],[])).
% 49.84/32.93 tff(24814,plain,
% 49.84/32.93 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB97) | v223(constB97, bitIndex2) | (~v242(constB97)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v223(constB97, bitIndex2) | (~v242(constB97)) | v225(constB97)))),
% 49.84/32.93 inference(monotonicity,[status(thm)],[24813])).
% 49.84/32.93 tff(24815,plain,
% 49.84/32.93 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB97) | v223(constB97, bitIndex2) | (~v242(constB97)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v223(constB97, bitIndex2) | (~v242(constB97)) | v225(constB97))),
% 49.84/32.93 inference(transitivity,[status(thm)],[24814, 24812])).
% 49.84/32.93 tff(24816,plain,
% 49.84/32.93 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB97) | v223(constB97, bitIndex2) | (~v242(constB97)))),
% 49.84/32.93 inference(quant_inst,[status(thm)],[])).
% 49.84/32.93 tff(24817,plain,
% 49.84/32.93 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v223(constB97, bitIndex2) | (~v242(constB97)) | v225(constB97)),
% 49.84/32.93 inference(modus_ponens,[status(thm)],[24816, 24815])).
% 49.84/32.93 tff(24818,plain,
% 49.84/32.93 ((~v242(constB97)) | v225(constB97)),
% 49.84/32.93 inference(unit_resolution,[status(thm)],[24817, 10306, 24811])).
% 49.84/32.93 tff(24819,plain,
% 49.84/32.93 (~v242(constB97)),
% 49.84/32.93 inference(unit_resolution,[status(thm)],[24818, 24795])).
% 49.84/32.93 tff(24820,plain,
% 49.84/32.93 (((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB97) | (~v238(constB97)))) <=> ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB97) | (~v238(constB97)))),
% 49.84/32.93 inference(rewrite,[status(thm)],[])).
% 49.84/32.93 tff(24821,plain,
% 49.84/32.93 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB97) | (~v238(constB97)))),
% 49.84/32.93 inference(quant_inst,[status(thm)],[])).
% 49.84/32.93 tff(24822,plain,
% 49.84/32.93 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB97) | (~v238(constB97))),
% 49.84/32.93 inference(modus_ponens,[status(thm)],[24821, 24820])).
% 49.84/32.93 tff(24823,plain,
% 49.84/32.93 (~v238(constB97)),
% 49.84/32.93 inference(unit_resolution,[status(thm)],[24822, 10318, 24819])).
% 49.84/32.93 tff(24824,plain,
% 49.84/32.93 (((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB97) | (~v237(constB97)))) <=> ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB97) | (~v237(constB97)))),
% 49.84/32.93 inference(rewrite,[status(thm)],[])).
% 49.84/32.93 tff(24825,plain,
% 49.84/32.93 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB97) | (~v237(constB97)))),
% 49.84/32.93 inference(quant_inst,[status(thm)],[])).
% 49.84/32.93 tff(24826,plain,
% 49.84/32.93 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB97) | (~v237(constB97))),
% 49.84/32.93 inference(modus_ponens,[status(thm)],[24825, 24824])).
% 49.84/32.93 tff(24827,plain,
% 49.84/32.93 (~v237(constB97)),
% 49.84/32.93 inference(unit_resolution,[status(thm)],[24826, 10329, 24823])).
% 49.84/32.93 tff(24828,plain,
% 49.84/32.93 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB97)) | v223(constB97, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB97)) | v223(constB97, bitIndex2))),
% 49.84/32.93 inference(rewrite,[status(thm)],[])).
% 49.84/32.93 tff(24829,plain,
% 49.84/32.93 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB97)) | v223(constB97, bitIndex2))),
% 49.84/32.93 inference(quant_inst,[status(thm)],[])).
% 49.84/32.93 tff(24830,plain,
% 49.84/32.93 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB97)) | v223(constB97, bitIndex2)),
% 49.84/32.93 inference(modus_ponens,[status(thm)],[24829, 24828])).
% 49.84/32.93 tff(24831,plain,
% 49.84/32.93 (~v224(constB97)),
% 49.84/32.93 inference(unit_resolution,[status(thm)],[24830, 10343, 24811])).
% 49.84/32.93 tff(24832,plain,
% 49.84/32.93 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB97)) | v223(constB97, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB97)) | v223(constB97, bitIndex1))),
% 49.84/32.93 inference(rewrite,[status(thm)],[])).
% 49.84/32.93 tff(24833,plain,
% 49.84/32.93 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB97)) | v223(constB97, bitIndex1))),
% 49.84/32.93 inference(quant_inst,[status(thm)],[])).
% 49.84/32.93 tff(24834,plain,
% 49.84/32.93 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB97)) | v223(constB97, bitIndex1)),
% 49.84/32.93 inference(modus_ponens,[status(thm)],[24833, 24832])).
% 49.84/32.93 tff(24835,plain,
% 49.84/32.93 (~v222(constB97)),
% 49.84/32.93 inference(unit_resolution,[status(thm)],[24834, 8954, 24784])).
% 49.84/32.93 tff(24836,plain,
% 49.84/32.93 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB97) | v224(constB97) | (~v236(constB97)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB97) | v224(constB97) | (~v236(constB97)))),
% 49.84/32.93 inference(rewrite,[status(thm)],[])).
% 49.84/32.93 tff(24837,plain,
% 49.84/32.93 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB97) | v224(constB97) | (~v236(constB97)))),
% 49.84/32.93 inference(quant_inst,[status(thm)],[])).
% 49.84/32.93 tff(24838,plain,
% 49.84/32.93 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB97) | v224(constB97) | (~v236(constB97))),
% 49.84/32.93 inference(modus_ponens,[status(thm)],[24837, 24836])).
% 49.84/32.93 tff(24839,plain,
% 49.84/32.93 (~v236(constB97)),
% 49.84/32.93 inference(unit_resolution,[status(thm)],[24838, 8968, 24835, 24831])).
% 49.84/32.93 tff(24840,plain,
% 49.84/32.93 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB97) | (~v232(constB97)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB97) | (~v232(constB97)))),
% 49.84/32.93 inference(rewrite,[status(thm)],[])).
% 49.84/32.93 tff(24841,plain,
% 49.84/32.93 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB97) | (~v232(constB97)))),
% 49.84/32.93 inference(quant_inst,[status(thm)],[])).
% 49.84/32.93 tff(24842,plain,
% 49.84/32.93 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB97) | (~v232(constB97))),
% 49.84/32.93 inference(modus_ponens,[status(thm)],[24841, 24840])).
% 49.84/32.93 tff(24843,plain,
% 49.84/32.93 (~v232(constB97)),
% 49.84/32.93 inference(unit_resolution,[status(thm)],[24842, 8980, 24839])).
% 49.84/32.93 tff(24844,plain,
% 49.84/32.93 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB97) | v232(constB97) | (~v248(constB97)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB97) | v232(constB97) | (~v248(constB97)))),
% 49.84/32.93 inference(rewrite,[status(thm)],[])).
% 49.84/32.93 tff(24845,plain,
% 49.84/32.93 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB97) | v232(constB97) | (~v248(constB97)))),
% 49.84/32.93 inference(quant_inst,[status(thm)],[])).
% 49.84/32.93 tff(24846,plain,
% 49.84/32.93 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB97) | v232(constB97) | (~v248(constB97))),
% 49.84/32.93 inference(modus_ponens,[status(thm)],[24845, 24844])).
% 49.84/32.93 tff(24847,plain,
% 49.84/32.93 (v237(constB97) | (~v248(constB97))),
% 49.84/32.93 inference(unit_resolution,[status(thm)],[24846, 9076, 24843])).
% 49.84/32.93 tff(24848,plain,
% 49.84/32.93 (~v248(constB97)),
% 49.84/32.93 inference(unit_resolution,[status(thm)],[24847, 24827])).
% 49.84/32.93 tff(24849,plain,
% 49.84/32.93 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB97) | (~v244(constB97)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB97) | (~v244(constB97)))),
% 49.84/32.93 inference(rewrite,[status(thm)],[])).
% 49.84/32.93 tff(24850,plain,
% 49.84/32.93 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB97) | (~v244(constB97)))),
% 49.84/32.93 inference(quant_inst,[status(thm)],[])).
% 49.84/32.93 tff(24851,plain,
% 49.84/32.93 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB97) | (~v244(constB97))),
% 49.84/32.93 inference(modus_ponens,[status(thm)],[24850, 24849])).
% 49.84/32.93 tff(24852,plain,
% 49.84/32.93 (~v244(constB97)),
% 49.84/32.93 inference(unit_resolution,[status(thm)],[24851, 11335, 24848])).
% 49.84/32.93 tff(24853,plain,
% 49.84/32.93 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB97) | (~v216(constB97, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB97) | (~v216(constB97, bitIndex1)))),
% 49.84/32.93 inference(rewrite,[status(thm)],[])).
% 49.84/32.93 tff(24854,plain,
% 49.84/32.93 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB97) | (~v216(constB97, bitIndex1)))),
% 49.84/32.93 inference(quant_inst,[status(thm)],[])).
% 49.84/32.93 tff(24855,plain,
% 49.84/32.93 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB97) | (~v216(constB97, bitIndex1))),
% 49.84/32.93 inference(modus_ponens,[status(thm)],[24854, 24853])).
% 49.84/32.93 tff(24856,plain,
% 49.84/32.93 (~v216(constB97, bitIndex1)),
% 49.84/32.93 inference(unit_resolution,[status(thm)],[24855, 11346, 24852])).
% 49.84/32.93 tff(24857,plain,
% 49.84/32.93 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB97, bitIndex1) | (~v254(constB97)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB97, bitIndex1) | (~v254(constB97)))),
% 49.84/32.93 inference(rewrite,[status(thm)],[])).
% 49.84/32.93 tff(24858,plain,
% 49.84/32.93 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB97, bitIndex1) | (~v254(constB97)))),
% 49.84/32.93 inference(quant_inst,[status(thm)],[])).
% 49.84/32.93 tff(24859,plain,
% 49.84/32.93 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB97, bitIndex1) | (~v254(constB97))),
% 49.84/32.93 inference(modus_ponens,[status(thm)],[24858, 24857])).
% 49.84/32.93 tff(24860,plain,
% 49.84/32.93 (~v254(constB97)),
% 49.84/32.93 inference(unit_resolution,[status(thm)],[24859, 11357, 24856])).
% 49.84/32.93 tff(24861,plain,
% 49.84/32.93 (((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB97) | (~v231(constB97)))) <=> ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB97) | (~v231(constB97)))),
% 49.84/32.93 inference(rewrite,[status(thm)],[])).
% 49.84/32.93 tff(24862,plain,
% 49.84/32.93 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB97) | (~v231(constB97)))),
% 49.84/32.93 inference(quant_inst,[status(thm)],[])).
% 49.84/32.93 tff(24863,plain,
% 49.84/32.93 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB97) | (~v231(constB97))),
% 49.84/32.93 inference(modus_ponens,[status(thm)],[24862, 24861])).
% 49.84/32.93 tff(24864,plain,
% 49.84/32.93 (~v231(constB97)),
% 49.84/32.93 inference(unit_resolution,[status(thm)],[24863, 24684, 24843])).
% 49.84/32.93 tff(24865,plain,
% 49.84/32.93 (((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB97) | (~v221(constB97)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB97) | (~v221(constB97)))),
% 49.84/32.93 inference(rewrite,[status(thm)],[])).
% 49.84/32.93 tff(24866,plain,
% 49.84/32.93 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB97) | (~v221(constB97)))),
% 49.84/32.93 inference(quant_inst,[status(thm)],[])).
% 49.84/32.93 tff(24867,plain,
% 49.84/32.93 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB97) | (~v221(constB97))),
% 49.84/32.93 inference(modus_ponens,[status(thm)],[24866, 24865])).
% 49.84/32.93 tff(24868,plain,
% 49.84/32.93 (~v221(constB97)),
% 49.84/32.93 inference(unit_resolution,[status(thm)],[24867, 11192, 24835])).
% 49.84/32.93 tff(24869,plain,
% 49.84/32.93 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB97) | v231(constB97) | (~v243(constB97)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB97) | v231(constB97) | (~v243(constB97)))),
% 49.84/32.93 inference(rewrite,[status(thm)],[])).
% 49.84/32.93 tff(24870,plain,
% 49.84/32.93 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB97) | v231(constB97) | (~v243(constB97)))),
% 49.84/32.93 inference(quant_inst,[status(thm)],[])).
% 49.84/32.93 tff(24871,plain,
% 49.84/32.93 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB97) | v231(constB97) | (~v243(constB97))),
% 49.84/32.93 inference(modus_ponens,[status(thm)],[24870, 24869])).
% 49.84/32.93 tff(24872,plain,
% 49.84/32.93 (v231(constB97) | (~v243(constB97))),
% 49.84/32.93 inference(unit_resolution,[status(thm)],[24871, 11206, 24868])).
% 49.84/32.93 tff(24873,plain,
% 49.84/32.93 (~v243(constB97)),
% 49.84/32.93 inference(unit_resolution,[status(thm)],[24872, 24864])).
% 49.84/32.93 tff(24874,plain,
% 49.84/32.93 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB97) | v255(constB97))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB97) | v255(constB97))),
% 49.84/32.93 inference(rewrite,[status(thm)],[])).
% 49.84/32.93 tff(24875,plain,
% 49.84/32.93 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB97) | v255(constB97))),
% 49.84/32.93 inference(quant_inst,[status(thm)],[])).
% 49.84/32.93 tff(24876,plain,
% 49.84/32.93 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB97) | v255(constB97)),
% 49.84/32.93 inference(modus_ponens,[status(thm)],[24875, 24874])).
% 49.84/32.93 tff(24877,plain,
% 49.84/32.93 (v255(constB97)),
% 49.84/32.93 inference(unit_resolution,[status(thm)],[24876, 11222, 24873])).
% 49.84/32.93 tff(24878,plain,
% 49.84/32.93 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB97)) | (~v216(constB97, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB97)) | (~v216(constB97, bitIndex2)))),
% 49.84/32.93 inference(rewrite,[status(thm)],[])).
% 49.84/32.93 tff(24879,plain,
% 49.84/32.93 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB97)) | (~v216(constB97, bitIndex2)))),
% 49.84/32.93 inference(quant_inst,[status(thm)],[])).
% 49.84/32.93 tff(24880,plain,
% 49.84/32.93 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB97)) | (~v216(constB97, bitIndex2))),
% 49.84/32.93 inference(modus_ponens,[status(thm)],[24879, 24878])).
% 49.84/32.93 tff(24881,plain,
% 49.84/32.93 (~v216(constB97, bitIndex2)),
% 49.84/32.93 inference(unit_resolution,[status(thm)],[24880, 11237, 24877])).
% 49.84/32.93 tff(24882,plain,
% 49.84/32.93 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v254(constB97) | (~v215(constB97)) | v216(constB97, bitIndex2))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB97) | (~v215(constB97)) | v216(constB97, bitIndex2))),
% 49.84/32.93 inference(rewrite,[status(thm)],[])).
% 49.84/32.93 tff(24883,plain,
% 49.84/32.93 ((v216(constB97, bitIndex2) | v254(constB97) | (~v215(constB97))) <=> (v254(constB97) | (~v215(constB97)) | v216(constB97, bitIndex2))),
% 49.84/32.93 inference(rewrite,[status(thm)],[])).
% 49.84/32.93 tff(24884,plain,
% 49.84/32.93 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB97, bitIndex2) | v254(constB97) | (~v215(constB97)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v254(constB97) | (~v215(constB97)) | v216(constB97, bitIndex2)))),
% 49.84/32.93 inference(monotonicity,[status(thm)],[24883])).
% 49.84/32.94 tff(24885,plain,
% 49.84/32.94 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB97, bitIndex2) | v254(constB97) | (~v215(constB97)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB97) | (~v215(constB97)) | v216(constB97, bitIndex2))),
% 49.84/32.94 inference(transitivity,[status(thm)],[24884, 24882])).
% 49.84/32.94 tff(24886,plain,
% 49.84/32.94 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB97, bitIndex2) | v254(constB97) | (~v215(constB97)))),
% 49.84/32.94 inference(quant_inst,[status(thm)],[])).
% 49.84/32.94 tff(24887,plain,
% 49.84/32.94 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB97) | (~v215(constB97)) | v216(constB97, bitIndex2)),
% 49.84/32.94 inference(modus_ponens,[status(thm)],[24886, 24885])).
% 49.84/32.94 tff(24888,plain,
% 49.84/32.94 (v254(constB97) | (~v215(constB97))),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[24887, 11278, 24881])).
% 49.84/32.94 tff(24889,plain,
% 49.84/32.94 (~v215(constB97)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[24888, 24860])).
% 49.84/32.94 tff(24890,plain,
% 49.84/32.94 ($false),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[24889, 24719])).
% 49.84/32.94 tff(24891,plain,(~(constB97 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 49.84/32.94 tff(24892,assumption,(constB109 = sK0_VarCurr), introduced(assumption)).
% 49.84/32.94 tff(24893,plain,
% 49.84/32.94 (v215(constB109) <=> v215(sK0_VarCurr)),
% 49.84/32.94 inference(monotonicity,[status(thm)],[24892])).
% 49.84/32.94 tff(24894,plain,
% 49.84/32.94 (v215(sK0_VarCurr) <=> v215(constB109)),
% 49.84/32.94 inference(symmetry,[status(thm)],[24893])).
% 49.84/32.94 tff(24895,plain,
% 49.84/32.94 (v215(constB109)),
% 49.84/32.94 inference(modus_ponens,[status(thm)],[11268, 24894])).
% 49.84/32.94 tff(24896,plain,
% 49.84/32.94 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB109, bitIndex2) | (~v88(constB109, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB109, bitIndex2) | (~v88(constB109, bitIndex2)))),
% 49.84/32.94 inference(rewrite,[status(thm)],[])).
% 49.84/32.94 tff(24897,plain,
% 49.84/32.94 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB109, bitIndex2) | (~v88(constB109, bitIndex2)))),
% 49.84/32.94 inference(quant_inst,[status(thm)],[])).
% 49.84/32.94 tff(24898,plain,
% 49.84/32.94 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB109, bitIndex2) | (~v88(constB109, bitIndex2))),
% 49.84/32.94 inference(modus_ponens,[status(thm)],[24897, 24896])).
% 49.84/32.94 tff(24899,plain,
% 49.84/32.94 (~v88(constB109, bitIndex2)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[24898, 8769, 15954])).
% 49.84/32.94 tff(24900,plain,
% 49.84/32.94 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB109, bitIndex0) | (~v88(constB109, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB109, bitIndex0) | (~v88(constB109, bitIndex0)))),
% 49.84/32.94 inference(rewrite,[status(thm)],[])).
% 49.84/32.94 tff(24901,plain,
% 49.84/32.94 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB109, bitIndex0) | (~v88(constB109, bitIndex0)))),
% 49.84/32.94 inference(quant_inst,[status(thm)],[])).
% 49.84/32.94 tff(24902,plain,
% 49.84/32.94 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB109, bitIndex0) | (~v88(constB109, bitIndex0))),
% 49.84/32.94 inference(modus_ponens,[status(thm)],[24901, 24900])).
% 49.84/32.94 tff(24903,plain,
% 49.84/32.94 (~v88(constB109, bitIndex0)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[24902, 10505, 16019])).
% 49.84/32.94 tff(24904,plain,
% 49.84/32.94 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB109, bitIndex1)) | v88(constB109, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB109, bitIndex1)) | v88(constB109, bitIndex1))),
% 49.84/32.94 inference(rewrite,[status(thm)],[])).
% 49.84/32.94 tff(24905,plain,
% 49.84/32.94 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB109, bitIndex1)) | v88(constB109, bitIndex1))),
% 49.84/32.94 inference(quant_inst,[status(thm)],[])).
% 49.84/32.94 tff(24906,plain,
% 49.84/32.94 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB109, bitIndex1)) | v88(constB109, bitIndex1)),
% 49.84/32.94 inference(modus_ponens,[status(thm)],[24905, 24904])).
% 49.84/32.94 tff(24907,plain,
% 49.84/32.94 (v88(constB109, bitIndex1)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[24906, 8707, 15985])).
% 49.84/32.94 tff(24908,plain,
% 49.84/32.94 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | ((~v88(constB109, bitIndex1)) | v88(constB109, bitIndex2) | v88(constB109, bitIndex0) | v143(constB109))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex2) | v88(constB109, bitIndex0) | v143(constB109))),
% 49.84/32.94 inference(rewrite,[status(thm)],[])).
% 49.84/32.94 tff(24909,plain,
% 49.84/32.94 ((v88(constB109, bitIndex2) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0) | v143(constB109)) <=> ((~v88(constB109, bitIndex1)) | v88(constB109, bitIndex2) | v88(constB109, bitIndex0) | v143(constB109))),
% 49.84/32.94 inference(rewrite,[status(thm)],[])).
% 49.84/32.94 tff(24910,plain,
% 49.84/32.94 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB109, bitIndex2) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0) | v143(constB109))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | ((~v88(constB109, bitIndex1)) | v88(constB109, bitIndex2) | v88(constB109, bitIndex0) | v143(constB109)))),
% 49.84/32.94 inference(monotonicity,[status(thm)],[24909])).
% 49.84/32.94 tff(24911,plain,
% 49.84/32.94 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB109, bitIndex2) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0) | v143(constB109))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex2) | v88(constB109, bitIndex0) | v143(constB109))),
% 49.84/32.94 inference(transitivity,[status(thm)],[24910, 24908])).
% 49.84/32.94 tff(24912,plain,
% 49.84/32.94 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB109, bitIndex2) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex0) | v143(constB109))),
% 49.84/32.94 inference(quant_inst,[status(thm)],[])).
% 49.84/32.94 tff(24913,plain,
% 49.84/32.94 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB109, bitIndex1)) | v88(constB109, bitIndex2) | v88(constB109, bitIndex0) | v143(constB109)),
% 49.84/32.94 inference(modus_ponens,[status(thm)],[24912, 24911])).
% 49.84/32.94 tff(24914,plain,
% 49.84/32.94 (v143(constB109)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[24913, 10523, 24907, 24903, 24899])).
% 49.84/32.94 tff(24915,plain,
% 49.84/32.94 (((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB109) | (~v143(constB109)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB109) | (~v143(constB109)))),
% 49.84/32.94 inference(rewrite,[status(thm)],[])).
% 49.84/32.94 tff(24916,plain,
% 49.84/32.94 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB109) | (~v143(constB109)))),
% 49.84/32.94 inference(quant_inst,[status(thm)],[])).
% 49.84/32.94 tff(24917,plain,
% 49.84/32.94 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB109) | (~v143(constB109))),
% 49.84/32.94 inference(modus_ponens,[status(thm)],[24916, 24915])).
% 49.84/32.94 tff(24918,plain,
% 49.84/32.94 (v142(constB109)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[24917, 10537, 24914])).
% 49.84/32.94 tff(24919,plain,
% 49.84/32.94 (((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB109) | (~v142(constB109)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB109) | (~v142(constB109)))),
% 49.84/32.94 inference(rewrite,[status(thm)],[])).
% 49.84/32.94 tff(24920,plain,
% 49.84/32.94 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB109) | (~v142(constB109)))),
% 49.84/32.94 inference(quant_inst,[status(thm)],[])).
% 49.84/32.94 tff(24921,plain,
% 49.84/32.94 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB109) | (~v142(constB109))),
% 49.84/32.94 inference(modus_ponens,[status(thm)],[24920, 24919])).
% 49.84/32.94 tff(24922,plain,
% 49.84/32.94 (v198(constB109)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[24921, 10548, 24918])).
% 49.84/32.94 tff(24923,plain,
% 49.84/32.94 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB109)) | (~v201(constB109)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB109)) | (~v201(constB109)))),
% 49.84/32.94 inference(rewrite,[status(thm)],[])).
% 49.84/32.94 tff(24924,plain,
% 49.84/32.94 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB109)) | (~v201(constB109)))),
% 49.84/32.94 inference(quant_inst,[status(thm)],[])).
% 49.84/32.94 tff(24925,plain,
% 49.84/32.94 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB109)) | (~v201(constB109))),
% 49.84/32.94 inference(modus_ponens,[status(thm)],[24924, 24923])).
% 49.84/32.94 tff(24926,plain,
% 49.84/32.94 (~v201(constB109)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[24925, 8823, 24922])).
% 49.84/32.94 tff(24927,plain,
% 49.84/32.94 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB109) | (~v198(constB109)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB109) | (~v198(constB109)))),
% 49.84/32.94 inference(rewrite,[status(thm)],[])).
% 49.84/32.94 tff(24928,plain,
% 49.84/32.94 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB109) | (~v198(constB109)))),
% 49.84/32.94 inference(quant_inst,[status(thm)],[])).
% 49.84/32.94 tff(24929,plain,
% 49.84/32.94 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB109) | (~v198(constB109))),
% 49.84/32.94 inference(modus_ponens,[status(thm)],[24928, 24927])).
% 49.84/32.94 tff(24930,plain,
% 49.84/32.94 (v197(constB109)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[24929, 8834, 24922])).
% 49.84/32.94 tff(24931,plain,
% 49.84/32.94 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB109) | (~v197(constB109)) | v201(constB109))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB109) | (~v197(constB109)) | v201(constB109))),
% 49.84/32.94 inference(rewrite,[status(thm)],[])).
% 49.84/32.94 tff(24932,plain,
% 49.84/32.94 (((~v197(constB109)) | v201(constB109) | v227(constB109)) <=> (v227(constB109) | (~v197(constB109)) | v201(constB109))),
% 49.84/32.94 inference(rewrite,[status(thm)],[])).
% 49.84/32.94 tff(24933,plain,
% 49.84/32.94 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB109)) | v201(constB109) | v227(constB109))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB109) | (~v197(constB109)) | v201(constB109)))),
% 49.84/32.94 inference(monotonicity,[status(thm)],[24932])).
% 49.84/32.94 tff(24934,plain,
% 49.84/32.94 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB109)) | v201(constB109) | v227(constB109))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB109) | (~v197(constB109)) | v201(constB109))),
% 49.84/32.94 inference(transitivity,[status(thm)],[24933, 24931])).
% 49.84/32.94 tff(24935,plain,
% 49.84/32.94 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB109)) | v201(constB109) | v227(constB109))),
% 49.84/32.94 inference(quant_inst,[status(thm)],[])).
% 49.84/32.94 tff(24936,plain,
% 49.84/32.94 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB109) | (~v197(constB109)) | v201(constB109)),
% 49.84/32.94 inference(modus_ponens,[status(thm)],[24935, 24934])).
% 49.84/32.94 tff(24937,plain,
% 49.84/32.94 (v227(constB109)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[24936, 8848, 24930, 24926])).
% 49.84/32.94 tff(24938,plain,
% 49.84/32.94 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB109)) | (~v223(constB109, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB109)) | (~v223(constB109, bitIndex0)))),
% 49.84/32.94 inference(rewrite,[status(thm)],[])).
% 49.84/32.94 tff(24939,plain,
% 49.84/32.94 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB109)) | (~v223(constB109, bitIndex0)))),
% 49.84/32.94 inference(quant_inst,[status(thm)],[])).
% 49.84/32.94 tff(24940,plain,
% 49.84/32.94 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB109)) | (~v223(constB109, bitIndex0))),
% 49.84/32.94 inference(modus_ponens,[status(thm)],[24939, 24938])).
% 49.84/32.94 tff(24941,plain,
% 49.84/32.94 (~v223(constB109, bitIndex0)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[24940, 8862, 24937])).
% 49.84/32.94 tff(24942,plain,
% 49.84/32.94 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | ((~v222(constB109)) | v223(constB109, bitIndex0))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (~v222(constB109)) | v223(constB109, bitIndex0))),
% 49.84/32.94 inference(rewrite,[status(thm)],[])).
% 49.84/32.94 tff(24943,plain,
% 49.84/32.94 ((v223(constB109, bitIndex0) | (~v222(constB109))) <=> ((~v222(constB109)) | v223(constB109, bitIndex0))),
% 49.84/32.94 inference(rewrite,[status(thm)],[])).
% 49.84/32.94 tff(24944,plain,
% 49.84/32.94 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB109, bitIndex0) | (~v222(constB109)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | ((~v222(constB109)) | v223(constB109, bitIndex0)))),
% 49.84/32.94 inference(monotonicity,[status(thm)],[24943])).
% 49.84/32.94 tff(24945,plain,
% 49.84/32.94 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB109, bitIndex0) | (~v222(constB109)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (~v222(constB109)) | v223(constB109, bitIndex0))),
% 49.84/32.94 inference(transitivity,[status(thm)],[24944, 24942])).
% 49.84/32.94 tff(24946,plain,
% 49.84/32.94 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB109, bitIndex0) | (~v222(constB109)))),
% 49.84/32.94 inference(quant_inst,[status(thm)],[])).
% 49.84/32.94 tff(24947,plain,
% 49.84/32.94 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (~v222(constB109)) | v223(constB109, bitIndex0)),
% 49.84/32.94 inference(modus_ponens,[status(thm)],[24946, 24945])).
% 49.84/32.94 tff(24948,plain,
% 49.84/32.94 (~v222(constB109)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[24947, 10578, 24941])).
% 49.84/32.94 tff(24949,plain,
% 49.84/32.94 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB109, bitIndex1)) | (~v139(constB109)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB109, bitIndex1)) | (~v139(constB109)))),
% 49.84/32.94 inference(rewrite,[status(thm)],[])).
% 49.84/32.94 tff(24950,plain,
% 49.84/32.94 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB109, bitIndex1)) | (~v139(constB109)))),
% 49.84/32.94 inference(quant_inst,[status(thm)],[])).
% 49.84/32.94 tff(24951,plain,
% 49.84/32.94 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB109, bitIndex1)) | (~v139(constB109))),
% 49.84/32.94 inference(modus_ponens,[status(thm)],[24950, 24949])).
% 49.84/32.94 tff(24952,plain,
% 49.84/32.94 (~v139(constB109)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[24951, 10589, 24907])).
% 49.84/32.94 tff(24953,plain,
% 49.84/32.94 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB109, bitIndex1)) | (~v140(constB109)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB109, bitIndex1)) | (~v140(constB109)))),
% 49.84/32.94 inference(rewrite,[status(thm)],[])).
% 49.84/32.94 tff(24954,plain,
% 49.84/32.94 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB109, bitIndex1)) | (~v140(constB109)))),
% 49.84/32.94 inference(quant_inst,[status(thm)],[])).
% 49.84/32.94 tff(24955,plain,
% 49.84/32.94 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB109, bitIndex1)) | (~v140(constB109))),
% 49.84/32.94 inference(modus_ponens,[status(thm)],[24954, 24953])).
% 49.84/32.94 tff(24956,plain,
% 49.84/32.94 (~v140(constB109)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[24955, 9002, 24907])).
% 49.84/32.94 tff(24957,plain,
% 49.84/32.94 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB109) | v139(constB109) | (~v200(constB109)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB109) | v139(constB109) | (~v200(constB109)))),
% 49.84/32.94 inference(rewrite,[status(thm)],[])).
% 49.84/32.94 tff(24958,plain,
% 49.84/32.94 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB109) | v139(constB109) | (~v200(constB109)))),
% 49.84/32.94 inference(quant_inst,[status(thm)],[])).
% 49.84/32.94 tff(24959,plain,
% 49.84/32.94 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB109) | v139(constB109) | (~v200(constB109))),
% 49.84/32.94 inference(modus_ponens,[status(thm)],[24958, 24957])).
% 49.84/32.94 tff(24960,plain,
% 49.84/32.94 (~v200(constB109)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[24959, 10610, 24956, 24952])).
% 49.84/32.94 tff(24961,plain,
% 49.84/32.94 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB109, bitIndex0) | (~v141(constB109)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB109, bitIndex0) | (~v141(constB109)))),
% 49.84/32.94 inference(rewrite,[status(thm)],[])).
% 49.84/32.94 tff(24962,plain,
% 49.84/32.94 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB109, bitIndex0) | (~v141(constB109)))),
% 49.84/32.94 inference(quant_inst,[status(thm)],[])).
% 49.84/32.94 tff(24963,plain,
% 49.84/32.94 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB109, bitIndex0) | (~v141(constB109))),
% 49.84/32.94 inference(modus_ponens,[status(thm)],[24962, 24961])).
% 49.84/32.94 tff(24964,plain,
% 49.84/32.94 (~v141(constB109)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[24963, 10624, 24903])).
% 49.84/32.94 tff(24965,plain,
% 49.84/32.94 (((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB109) | v200(constB109) | (~v166(constB109)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB109) | v200(constB109) | (~v166(constB109)))),
% 49.84/32.94 inference(rewrite,[status(thm)],[])).
% 49.84/32.94 tff(24966,plain,
% 49.84/32.94 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB109) | v200(constB109) | (~v166(constB109)))),
% 49.84/32.94 inference(quant_inst,[status(thm)],[])).
% 49.84/32.94 tff(24967,plain,
% 49.84/32.94 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB109) | v200(constB109) | (~v166(constB109))),
% 49.84/32.94 inference(modus_ponens,[status(thm)],[24966, 24965])).
% 49.84/32.94 tff(24968,plain,
% 49.84/32.94 (~v166(constB109)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[24967, 10638, 24964, 24960])).
% 49.84/32.94 tff(24969,plain,
% 49.84/32.94 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB109) | v166(constB109) | (~v197(constB109)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB109) | v166(constB109) | (~v197(constB109)))),
% 49.84/32.94 inference(rewrite,[status(thm)],[])).
% 49.84/32.94 tff(24970,plain,
% 49.84/32.94 (((~v197(constB109)) | v166(constB109) | v241(constB109)) <=> (v241(constB109) | v166(constB109) | (~v197(constB109)))),
% 49.84/32.94 inference(rewrite,[status(thm)],[])).
% 49.84/32.94 tff(24971,plain,
% 49.84/32.94 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB109)) | v166(constB109) | v241(constB109))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB109) | v166(constB109) | (~v197(constB109))))),
% 49.84/32.94 inference(monotonicity,[status(thm)],[24970])).
% 49.84/32.94 tff(24972,plain,
% 49.84/32.94 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB109)) | v166(constB109) | v241(constB109))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB109) | v166(constB109) | (~v197(constB109)))),
% 49.84/32.94 inference(transitivity,[status(thm)],[24971, 24969])).
% 49.84/32.94 tff(24973,plain,
% 49.84/32.94 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB109)) | v166(constB109) | v241(constB109))),
% 49.84/32.94 inference(quant_inst,[status(thm)],[])).
% 49.84/32.94 tff(24974,plain,
% 49.84/32.94 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB109) | v166(constB109) | (~v197(constB109))),
% 49.84/32.94 inference(modus_ponens,[status(thm)],[24973, 24972])).
% 49.84/32.94 tff(24975,plain,
% 49.84/32.94 (v241(constB109) | (~v197(constB109))),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[24974, 10277, 24968])).
% 49.84/32.94 tff(24976,plain,
% 49.84/32.94 (v241(constB109)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[24975, 24930])).
% 49.84/32.94 tff(24977,plain,
% 49.84/32.94 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB109)) | (~v223(constB109, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB109)) | (~v223(constB109, bitIndex2)))),
% 49.84/32.94 inference(rewrite,[status(thm)],[])).
% 49.84/32.94 tff(24978,plain,
% 49.84/32.94 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB109)) | (~v223(constB109, bitIndex2)))),
% 49.84/32.94 inference(quant_inst,[status(thm)],[])).
% 49.84/32.94 tff(24979,plain,
% 49.84/32.94 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB109)) | (~v223(constB109, bitIndex2))),
% 49.84/32.94 inference(modus_ponens,[status(thm)],[24978, 24977])).
% 49.84/32.94 tff(24980,plain,
% 49.84/32.94 (~v223(constB109, bitIndex2)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[24979, 10292, 24976])).
% 49.84/32.94 tff(24981,plain,
% 49.84/32.94 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB109)) | v223(constB109, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB109)) | v223(constB109, bitIndex2))),
% 49.84/32.94 inference(rewrite,[status(thm)],[])).
% 49.84/32.94 tff(24982,plain,
% 49.84/32.94 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB109)) | v223(constB109, bitIndex2))),
% 49.84/32.94 inference(quant_inst,[status(thm)],[])).
% 49.84/32.94 tff(24983,plain,
% 49.84/32.94 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB109)) | v223(constB109, bitIndex2)),
% 49.84/32.94 inference(modus_ponens,[status(thm)],[24982, 24981])).
% 49.84/32.94 tff(24984,plain,
% 49.84/32.94 (~v224(constB109)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[24983, 10343, 24980])).
% 49.84/32.94 tff(24985,plain,
% 49.84/32.94 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB109) | v224(constB109) | (~v236(constB109)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB109) | v224(constB109) | (~v236(constB109)))),
% 49.84/32.94 inference(rewrite,[status(thm)],[])).
% 49.84/32.94 tff(24986,plain,
% 49.84/32.94 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB109) | v224(constB109) | (~v236(constB109)))),
% 49.84/32.94 inference(quant_inst,[status(thm)],[])).
% 49.84/32.94 tff(24987,plain,
% 49.84/32.94 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB109) | v224(constB109) | (~v236(constB109))),
% 49.84/32.94 inference(modus_ponens,[status(thm)],[24986, 24985])).
% 49.84/32.94 tff(24988,plain,
% 49.84/32.94 (~v236(constB109)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[24987, 8968, 24984, 24948])).
% 49.84/32.94 tff(24989,plain,
% 49.84/32.94 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB109) | (~v232(constB109)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB109) | (~v232(constB109)))),
% 49.84/32.94 inference(rewrite,[status(thm)],[])).
% 49.84/32.94 tff(24990,plain,
% 49.84/32.94 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB109) | (~v232(constB109)))),
% 49.84/32.94 inference(quant_inst,[status(thm)],[])).
% 49.84/32.94 tff(24991,plain,
% 49.84/32.94 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB109) | (~v232(constB109))),
% 49.84/32.94 inference(modus_ponens,[status(thm)],[24990, 24989])).
% 49.84/32.94 tff(24992,plain,
% 49.84/32.94 (~v232(constB109)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[24991, 8980, 24988])).
% 49.84/32.94 tff(24993,plain,
% 49.84/32.94 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB109) | v139(constB109) | (~v148(constB109)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB109) | v139(constB109) | (~v148(constB109)))),
% 49.84/32.94 inference(rewrite,[status(thm)],[])).
% 49.84/32.94 tff(24994,plain,
% 49.84/32.94 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB109) | v139(constB109) | (~v148(constB109)))),
% 49.84/32.94 inference(quant_inst,[status(thm)],[])).
% 49.84/32.94 tff(24995,plain,
% 49.84/32.94 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB109) | v139(constB109) | (~v148(constB109))),
% 49.84/32.94 inference(modus_ponens,[status(thm)],[24994, 24993])).
% 49.84/32.94 tff(24996,plain,
% 49.84/32.94 (~v148(constB109)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[24995, 9016, 24956, 24952])).
% 49.84/32.94 tff(24997,plain,
% 49.84/32.94 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB109) | (~v197(constB109)) | v148(constB109))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB109) | (~v197(constB109)) | v148(constB109))),
% 49.84/32.94 inference(rewrite,[status(thm)],[])).
% 49.84/32.94 tff(24998,plain,
% 49.84/32.94 ((v148(constB109) | (~v197(constB109)) | v252(constB109)) <=> (v252(constB109) | (~v197(constB109)) | v148(constB109))),
% 49.84/32.94 inference(rewrite,[status(thm)],[])).
% 49.84/32.94 tff(24999,plain,
% 49.84/32.94 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB109) | (~v197(constB109)) | v252(constB109))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB109) | (~v197(constB109)) | v148(constB109)))),
% 49.84/32.94 inference(monotonicity,[status(thm)],[24998])).
% 49.84/32.94 tff(25000,plain,
% 49.84/32.94 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB109) | (~v197(constB109)) | v252(constB109))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB109) | (~v197(constB109)) | v148(constB109))),
% 49.84/32.94 inference(transitivity,[status(thm)],[24999, 24997])).
% 49.84/32.94 tff(25001,plain,
% 49.84/32.94 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB109) | (~v197(constB109)) | v252(constB109))),
% 49.84/32.94 inference(quant_inst,[status(thm)],[])).
% 49.84/32.94 tff(25002,plain,
% 49.84/32.94 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB109) | (~v197(constB109)) | v148(constB109)),
% 49.84/32.94 inference(modus_ponens,[status(thm)],[25001, 25000])).
% 49.84/32.94 tff(25003,plain,
% 49.84/32.94 (v252(constB109) | (~v197(constB109))),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[25002, 9033, 24996])).
% 49.84/32.94 tff(25004,plain,
% 49.84/32.94 (v252(constB109)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[25003, 24930])).
% 49.84/32.94 tff(25005,plain,
% 49.84/32.94 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB109)) | (~v223(constB109, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB109)) | (~v223(constB109, bitIndex3)))),
% 49.84/32.94 inference(rewrite,[status(thm)],[])).
% 49.84/32.94 tff(25006,plain,
% 49.84/32.94 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB109)) | (~v223(constB109, bitIndex3)))),
% 49.84/32.94 inference(quant_inst,[status(thm)],[])).
% 49.84/32.94 tff(25007,plain,
% 49.84/32.94 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB109)) | (~v223(constB109, bitIndex3))),
% 49.84/32.94 inference(modus_ponens,[status(thm)],[25006, 25005])).
% 49.84/32.94 tff(25008,plain,
% 49.84/32.94 (~v223(constB109, bitIndex3)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[25007, 9048, 25004])).
% 49.84/32.94 tff(25009,plain,
% 49.84/32.94 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB109)) | v223(constB109, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB109)) | v223(constB109, bitIndex3))),
% 49.84/32.94 inference(rewrite,[status(thm)],[])).
% 49.84/32.94 tff(25010,plain,
% 49.84/32.94 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB109)) | v223(constB109, bitIndex3))),
% 49.84/32.94 inference(quant_inst,[status(thm)],[])).
% 49.84/32.94 tff(25011,plain,
% 49.84/32.94 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB109)) | v223(constB109, bitIndex3)),
% 49.84/32.94 inference(modus_ponens,[status(thm)],[25010, 25009])).
% 49.84/32.94 tff(25012,plain,
% 49.84/32.94 (~v237(constB109)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[25011, 9062, 25008])).
% 49.84/32.94 tff(25013,plain,
% 49.84/32.94 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB109) | (~v248(constB109)) | v232(constB109))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB109) | (~v248(constB109)) | v232(constB109))),
% 49.84/32.94 inference(rewrite,[status(thm)],[])).
% 49.84/32.94 tff(25014,plain,
% 49.84/32.94 ((v237(constB109) | v232(constB109) | (~v248(constB109))) <=> (v237(constB109) | (~v248(constB109)) | v232(constB109))),
% 49.84/32.94 inference(rewrite,[status(thm)],[])).
% 49.84/32.94 tff(25015,plain,
% 49.84/32.94 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB109) | v232(constB109) | (~v248(constB109)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB109) | (~v248(constB109)) | v232(constB109)))),
% 49.84/32.94 inference(monotonicity,[status(thm)],[25014])).
% 49.84/32.94 tff(25016,plain,
% 49.84/32.94 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB109) | v232(constB109) | (~v248(constB109)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB109) | (~v248(constB109)) | v232(constB109))),
% 49.84/32.94 inference(transitivity,[status(thm)],[25015, 25013])).
% 49.84/32.94 tff(25017,plain,
% 49.84/32.94 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB109) | v232(constB109) | (~v248(constB109)))),
% 49.84/32.94 inference(quant_inst,[status(thm)],[])).
% 49.84/32.94 tff(25018,plain,
% 49.84/32.94 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB109) | (~v248(constB109)) | v232(constB109)),
% 49.84/32.94 inference(modus_ponens,[status(thm)],[25017, 25016])).
% 49.84/32.94 tff(25019,plain,
% 49.84/32.94 ((~v248(constB109)) | v232(constB109)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[25018, 9076, 25012])).
% 49.84/32.94 tff(25020,plain,
% 49.84/32.94 (~v248(constB109)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[25019, 24992])).
% 49.84/32.94 tff(25021,plain,
% 49.84/32.94 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB109) | (~v244(constB109)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB109) | (~v244(constB109)))),
% 49.84/32.94 inference(rewrite,[status(thm)],[])).
% 49.84/32.94 tff(25022,plain,
% 49.84/32.94 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB109) | (~v244(constB109)))),
% 49.84/32.94 inference(quant_inst,[status(thm)],[])).
% 49.84/32.94 tff(25023,plain,
% 49.84/32.94 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB109) | (~v244(constB109))),
% 49.84/32.94 inference(modus_ponens,[status(thm)],[25022, 25021])).
% 49.84/32.94 tff(25024,plain,
% 49.84/32.94 (~v244(constB109)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[25023, 11335, 25020])).
% 49.84/32.94 tff(25025,plain,
% 49.84/32.94 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB109) | (~v216(constB109, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB109) | (~v216(constB109, bitIndex1)))),
% 49.84/32.94 inference(rewrite,[status(thm)],[])).
% 49.84/32.94 tff(25026,plain,
% 49.84/32.94 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB109) | (~v216(constB109, bitIndex1)))),
% 49.84/32.94 inference(quant_inst,[status(thm)],[])).
% 49.84/32.94 tff(25027,plain,
% 49.84/32.94 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB109) | (~v216(constB109, bitIndex1))),
% 49.84/32.94 inference(modus_ponens,[status(thm)],[25026, 25025])).
% 49.84/32.94 tff(25028,plain,
% 49.84/32.94 (~v216(constB109, bitIndex1)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[25027, 11346, 25024])).
% 49.84/32.94 tff(25029,plain,
% 49.84/32.94 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB109, bitIndex1) | (~v254(constB109)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB109, bitIndex1) | (~v254(constB109)))),
% 49.84/32.94 inference(rewrite,[status(thm)],[])).
% 49.84/32.94 tff(25030,plain,
% 49.84/32.94 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB109, bitIndex1) | (~v254(constB109)))),
% 49.84/32.94 inference(quant_inst,[status(thm)],[])).
% 49.84/32.94 tff(25031,plain,
% 49.84/32.94 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB109, bitIndex1) | (~v254(constB109))),
% 49.84/32.94 inference(modus_ponens,[status(thm)],[25030, 25029])).
% 49.84/32.94 tff(25032,plain,
% 49.84/32.94 (~v254(constB109)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[25031, 11357, 25028])).
% 49.84/32.94 tff(25033,plain,
% 49.84/32.94 (((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB109) | (~v221(constB109)))) <=> ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB109) | (~v221(constB109)))),
% 49.84/32.94 inference(rewrite,[status(thm)],[])).
% 49.84/32.94 tff(25034,plain,
% 49.84/32.94 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB109) | (~v221(constB109)))),
% 49.84/32.94 inference(quant_inst,[status(thm)],[])).
% 49.84/32.94 tff(25035,plain,
% 49.84/32.94 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB109) | (~v221(constB109))),
% 49.84/32.94 inference(modus_ponens,[status(thm)],[25034, 25033])).
% 49.84/32.94 tff(25036,plain,
% 49.84/32.94 (~v221(constB109)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[25035, 11505, 24984])).
% 49.84/32.94 tff(25037,plain,
% 49.84/32.94 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB109) | (~v231(constB109)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB109) | (~v231(constB109)))),
% 49.84/32.94 inference(rewrite,[status(thm)],[])).
% 49.84/32.94 tff(25038,plain,
% 49.84/32.94 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB109) | (~v231(constB109)))),
% 49.84/32.94 inference(quant_inst,[status(thm)],[])).
% 49.84/32.94 tff(25039,plain,
% 49.84/32.94 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB109) | (~v231(constB109))),
% 49.84/32.94 inference(modus_ponens,[status(thm)],[25038, 25037])).
% 49.84/32.94 tff(25040,plain,
% 49.84/32.94 (~v231(constB109)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[25039, 11162, 25012])).
% 49.84/32.94 tff(25041,plain,
% 49.84/32.94 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB109) | v231(constB109) | (~v243(constB109)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB109) | v231(constB109) | (~v243(constB109)))),
% 49.84/32.94 inference(rewrite,[status(thm)],[])).
% 49.84/32.94 tff(25042,plain,
% 49.84/32.94 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB109) | v231(constB109) | (~v243(constB109)))),
% 49.84/32.94 inference(quant_inst,[status(thm)],[])).
% 49.84/32.94 tff(25043,plain,
% 49.84/32.94 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB109) | v231(constB109) | (~v243(constB109))),
% 49.84/32.94 inference(modus_ponens,[status(thm)],[25042, 25041])).
% 49.84/32.94 tff(25044,plain,
% 49.84/32.94 (~v243(constB109)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[25043, 11206, 25040, 25036])).
% 49.84/32.94 tff(25045,plain,
% 49.84/32.94 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB109) | v255(constB109))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB109) | v255(constB109))),
% 49.84/32.94 inference(rewrite,[status(thm)],[])).
% 49.84/32.94 tff(25046,plain,
% 49.84/32.94 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB109) | v255(constB109))),
% 49.84/32.94 inference(quant_inst,[status(thm)],[])).
% 49.84/32.94 tff(25047,plain,
% 49.84/32.94 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB109) | v255(constB109)),
% 49.84/32.94 inference(modus_ponens,[status(thm)],[25046, 25045])).
% 49.84/32.94 tff(25048,plain,
% 49.84/32.94 (v255(constB109)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[25047, 11222, 25044])).
% 49.84/32.94 tff(25049,plain,
% 49.84/32.94 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB109)) | (~v216(constB109, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB109)) | (~v216(constB109, bitIndex2)))),
% 49.84/32.94 inference(rewrite,[status(thm)],[])).
% 49.84/32.94 tff(25050,plain,
% 49.84/32.94 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB109)) | (~v216(constB109, bitIndex2)))),
% 49.84/32.94 inference(quant_inst,[status(thm)],[])).
% 49.84/32.94 tff(25051,plain,
% 49.84/32.94 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB109)) | (~v216(constB109, bitIndex2))),
% 49.84/32.94 inference(modus_ponens,[status(thm)],[25050, 25049])).
% 49.84/32.94 tff(25052,plain,
% 49.84/32.94 (~v216(constB109, bitIndex2)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[25051, 11237, 25048])).
% 49.84/32.94 tff(25053,plain,
% 49.84/32.94 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB109, bitIndex2) | v254(constB109) | (~v215(constB109)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB109, bitIndex2) | v254(constB109) | (~v215(constB109)))),
% 49.84/32.94 inference(rewrite,[status(thm)],[])).
% 49.84/32.94 tff(25054,plain,
% 49.84/32.94 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB109, bitIndex2) | v254(constB109) | (~v215(constB109)))),
% 49.84/32.94 inference(quant_inst,[status(thm)],[])).
% 49.84/32.94 tff(25055,plain,
% 49.84/32.94 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB109, bitIndex2) | v254(constB109) | (~v215(constB109))),
% 49.84/32.94 inference(modus_ponens,[status(thm)],[25054, 25053])).
% 49.84/32.94 tff(25056,plain,
% 49.84/32.94 (v254(constB109) | (~v215(constB109))),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[25055, 11278, 25052])).
% 49.84/32.94 tff(25057,plain,
% 49.84/32.94 (~v215(constB109)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[25056, 25032])).
% 49.84/32.94 tff(25058,plain,
% 49.84/32.94 ($false),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[25057, 24895])).
% 49.84/32.94 tff(25059,plain,(~(constB109 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 49.84/32.94 tff(25060,assumption,(constB35 = sK0_VarCurr), introduced(assumption)).
% 49.84/32.94 tff(25061,plain,
% 49.84/32.94 (v215(constB35) <=> v215(sK0_VarCurr)),
% 49.84/32.94 inference(monotonicity,[status(thm)],[25060])).
% 49.84/32.94 tff(25062,plain,
% 49.84/32.94 (v215(sK0_VarCurr) <=> v215(constB35)),
% 49.84/32.94 inference(symmetry,[status(thm)],[25061])).
% 49.84/32.94 tff(25063,plain,
% 49.84/32.94 (v215(constB35)),
% 49.84/32.94 inference(modus_ponens,[status(thm)],[11268, 25062])).
% 49.84/32.94 tff(25064,assumption,(v123(constB33)), introduced(assumption)).
% 49.84/32.94 tff(25065,plain,
% 49.84/32.94 (v115(constB33)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[5856, 595, 25064])).
% 49.84/32.94 tff(25066,plain,
% 49.84/32.94 (v114(constB33)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[5860, 199, 25065])).
% 49.84/32.94 tff(25067,plain,
% 49.84/32.94 (v113(constB33)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[5864, 210, 25066])).
% 49.84/32.94 tff(25068,plain,
% 49.84/32.94 (v112(constB33)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[5873, 25067])).
% 49.84/32.94 tff(25069,plain,
% 49.84/32.94 (v108(constB33)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[5877, 236, 25068])).
% 49.84/32.94 tff(25070,plain,
% 49.84/32.94 (v110(constB34)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[5888, 25069])).
% 49.84/32.94 tff(25071,plain,
% 49.84/32.94 (v100(constB34)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[5914, 25070])).
% 49.84/32.94 tff(25072,plain,
% 49.84/32.94 (~v130(constB33, bitIndex0)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[5998, 975, 25064])).
% 49.84/32.94 tff(25073,plain,
% 49.84/32.94 (~v127(constB33, bitIndex0)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[6006, 25072])).
% 49.84/32.94 tff(25074,plain,
% 49.84/32.94 (~v129(constB34, bitIndex0)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[6011, 25073])).
% 49.84/32.94 tff(25075,plain,
% 49.84/32.94 ((~v90(constB34, bitIndex0)) | (~v100(constB34))),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[6018, 557, 25074])).
% 49.84/32.94 tff(25076,plain,
% 49.84/32.94 (~v90(constB34, bitIndex0)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[25075, 25071])).
% 49.84/32.94 tff(25077,plain,
% 49.84/32.94 (~v90(constB35, bitIndex0)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[6028, 25076])).
% 49.84/32.94 tff(25078,plain,
% 49.84/32.94 (((~![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)))),
% 49.84/32.94 inference(rewrite,[status(thm)],[])).
% 49.84/32.94 tff(25079,plain,
% 49.84/32.94 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB35, bitIndex0) | (~v88(constB35, bitIndex0)))),
% 49.84/32.94 inference(quant_inst,[status(thm)],[])).
% 49.84/32.94 tff(25080,plain,
% 49.84/32.94 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB35, bitIndex0) | (~v88(constB35, bitIndex0))),
% 49.84/32.94 inference(modus_ponens,[status(thm)],[25079, 25078])).
% 49.84/32.94 tff(25081,plain,
% 49.84/32.94 (~v88(constB35, bitIndex0)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[25080, 10505, 25077])).
% 49.84/32.94 tff(25082,plain,
% 49.84/32.94 (v130(constB33, bitIndex1)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[5967, 667, 25064])).
% 49.84/32.94 tff(25083,plain,
% 49.84/32.94 (v127(constB33, bitIndex1)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[5972, 25082])).
% 49.84/32.94 tff(25084,plain,
% 49.84/32.94 (v129(constB34, bitIndex1)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[5977, 25083])).
% 49.84/32.94 tff(25085,plain,
% 49.84/32.94 (v90(constB34, bitIndex1) | (~v100(constB34))),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[5984, 711, 25084])).
% 49.84/32.94 tff(25086,plain,
% 49.84/32.94 (v90(constB34, bitIndex1)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[25085, 25071])).
% 49.84/32.94 tff(25087,plain,
% 49.84/32.94 (v90(constB35, bitIndex1)),
% 49.84/32.94 inference(unit_resolution,[status(thm)],[5994, 25086])).
% 49.84/32.94 tff(25088,plain,
% 49.84/32.94 (((~![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))),
% 49.84/32.94 inference(rewrite,[status(thm)],[])).
% 49.84/32.94 tff(25089,plain,
% 49.84/32.94 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB35, bitIndex1)) | v88(constB35, bitIndex1))),
% 49.84/32.94 inference(quant_inst,[status(thm)],[])).
% 49.84/32.94 tff(25090,plain,
% 49.84/32.94 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB35, bitIndex1)) | v88(constB35, bitIndex1)),
% 49.84/32.94 inference(modus_ponens,[status(thm)],[25089, 25088])).
% 49.84/32.95 tff(25091,plain,
% 49.84/32.95 (v88(constB35, bitIndex1)),
% 49.84/32.95 inference(unit_resolution,[status(thm)],[25090, 8707, 25087])).
% 49.84/32.95 tff(25092,plain,
% 49.84/32.95 (v130(constB33, bitIndex2)),
% 49.84/32.95 inference(unit_resolution,[status(thm)],[5918, 836, 25064])).
% 49.84/32.95 tff(25093,plain,
% 49.84/32.95 (v127(constB33, bitIndex2)),
% 49.84/32.95 inference(unit_resolution,[status(thm)],[5923, 25092])).
% 49.84/32.95 tff(25094,plain,
% 49.84/32.95 (v129(constB34, bitIndex2)),
% 49.84/32.95 inference(unit_resolution,[status(thm)],[5928, 25093])).
% 49.84/32.95 tff(25095,plain,
% 49.84/32.95 (v90(constB34, bitIndex2) | (~v100(constB34))),
% 49.84/32.95 inference(unit_resolution,[status(thm)],[5935, 381, 25094])).
% 49.84/32.95 tff(25096,plain,
% 49.84/32.95 (v90(constB34, bitIndex2)),
% 49.84/32.95 inference(unit_resolution,[status(thm)],[25095, 25071])).
% 49.84/32.95 tff(25097,plain,
% 49.84/32.95 (v90(constB35, bitIndex2)),
% 49.84/32.95 inference(unit_resolution,[status(thm)],[5963, 25096])).
% 49.84/32.95 tff(25098,plain,
% 49.84/32.95 (^[VarCurr: $i] : refl(((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2)) <=> ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2)))),
% 49.84/32.95 inference(bind,[status(th)],[])).
% 49.84/32.95 tff(25099,plain,
% 49.84/32.95 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 49.84/32.95 inference(quant_intro,[status(thm)],[25098])).
% 49.84/32.95 tff(25100,plain,
% 49.84/32.95 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 49.84/32.95 inference(rewrite,[status(thm)],[])).
% 49.84/32.95 tff(25101,plain,
% 49.84/32.95 (^[VarCurr: $i] : rewrite((v88(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex2))) <=> ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2)))),
% 49.84/32.95 inference(bind,[status(th)],[])).
% 49.84/32.95 tff(25102,plain,
% 49.84/32.95 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 49.84/32.95 inference(quant_intro,[status(thm)],[25101])).
% 49.84/32.95 tff(25103,axiom,(![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v90(VarCurr, bitIndex2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_8_1_5')).
% 49.84/32.95 tff(25104,plain,
% 49.84/32.95 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 49.84/32.95 inference(modus_ponens,[status(thm)],[25103, 25102])).
% 49.84/32.95 tff(25105,plain,
% 49.84/32.95 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 49.84/32.95 inference(modus_ponens,[status(thm)],[25104, 25100])).
% 49.84/32.95 tff(25106,plain,(
% 49.84/32.95 ![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 49.84/32.95 inference(skolemize,[status(sab)],[25105])).
% 49.84/32.95 tff(25107,plain,
% 49.84/32.95 (![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))),
% 49.84/32.95 inference(modus_ponens,[status(thm)],[25106, 25099])).
% 49.84/32.95 tff(25108,plain,
% 49.84/32.95 (((~![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))),
% 49.84/32.95 inference(rewrite,[status(thm)],[])).
% 49.84/32.95 tff(25109,plain,
% 49.84/32.95 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB35, bitIndex2)) | v88(constB35, bitIndex2))),
% 49.84/32.95 inference(quant_inst,[status(thm)],[])).
% 49.84/32.95 tff(25110,plain,
% 49.84/32.95 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB35, bitIndex2)) | v88(constB35, bitIndex2)),
% 49.84/32.95 inference(modus_ponens,[status(thm)],[25109, 25108])).
% 49.84/32.95 tff(25111,plain,
% 49.84/32.95 (v88(constB35, bitIndex2)),
% 49.84/32.95 inference(unit_resolution,[status(thm)],[25110, 25107, 25097])).
% 49.84/32.95 tff(25112,assumption,(~v144(constB35)), introduced(assumption)).
% 49.84/32.95 tff(25113,plain,
% 49.84/32.95 (^[VarCurr: $i] : refl(((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr)) <=> ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr)))),
% 49.84/32.95 inference(bind,[status(th)],[])).
% 49.84/32.95 tff(25114,plain,
% 49.84/32.95 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr)) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))),
% 49.84/32.95 inference(quant_intro,[status(thm)],[25113])).
% 49.84/32.95 tff(25115,plain,
% 49.84/32.95 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr)) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))),
% 49.84/32.95 inference(rewrite,[status(thm)],[])).
% 49.84/32.95 tff(25116,plain,
% 49.84/32.95 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v144(VarCurr) | (~v88(VarCurr, bitIndex2))) | (~v88(VarCurr, bitIndex1))) <=> ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v144(VarCurr))), ((((v144(VarCurr) | (~v88(VarCurr, bitIndex2))) | (~v88(VarCurr, bitIndex1))) | v88(VarCurr, bitIndex0)) <=> (((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v144(VarCurr)) | v88(VarCurr, bitIndex0)))), rewrite((((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v144(VarCurr)) | v88(VarCurr, bitIndex0)) <=> ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))), ((((v144(VarCurr) | (~v88(VarCurr, bitIndex2))) | (~v88(VarCurr, bitIndex1))) | v88(VarCurr, bitIndex0)) <=> ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))))),
% 49.84/32.95 inference(bind,[status(th)],[])).
% 49.84/32.95 tff(25117,plain,
% 49.84/32.95 (![VarCurr: $i] : (((v144(VarCurr) | (~v88(VarCurr, bitIndex2))) | (~v88(VarCurr, bitIndex1))) | v88(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))),
% 49.84/32.95 inference(quant_intro,[status(thm)],[25116])).
% 49.84/32.95 tff(25118,axiom,(![VarCurr: $i] : (((v144(VarCurr) | (~v88(VarCurr, bitIndex2))) | (~v88(VarCurr, bitIndex1))) | v88(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_13_1_1_1')).
% 49.84/32.95 tff(25119,plain,
% 49.84/32.95 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))),
% 49.84/32.95 inference(modus_ponens,[status(thm)],[25118, 25117])).
% 49.84/32.95 tff(25120,plain,
% 49.84/32.95 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))),
% 49.84/32.95 inference(modus_ponens,[status(thm)],[25119, 25115])).
% 49.84/32.95 tff(25121,plain,(
% 49.84/32.95 ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))),
% 49.84/32.95 inference(skolemize,[status(sab)],[25120])).
% 49.84/32.95 tff(25122,plain,
% 49.84/32.95 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))),
% 49.84/32.95 inference(modus_ponens,[status(thm)],[25121, 25114])).
% 49.84/32.95 tff(25123,plain,
% 49.84/32.95 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB35, bitIndex2)) | v144(constB35) | (~v88(constB35, bitIndex1)) | v88(constB35, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB35, bitIndex2)) | v144(constB35) | (~v88(constB35, bitIndex1)) | v88(constB35, bitIndex0))),
% 49.84/32.95 inference(rewrite,[status(thm)],[])).
% 49.84/32.95 tff(25124,plain,
% 49.84/32.95 (((~v88(constB35, bitIndex2)) | (~v88(constB35, bitIndex1)) | v88(constB35, bitIndex0) | v144(constB35)) <=> ((~v88(constB35, bitIndex2)) | v144(constB35) | (~v88(constB35, bitIndex1)) | v88(constB35, bitIndex0))),
% 49.84/32.95 inference(rewrite,[status(thm)],[])).
% 49.84/32.95 tff(25125,plain,
% 49.84/32.95 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB35, bitIndex2)) | (~v88(constB35, bitIndex1)) | v88(constB35, bitIndex0) | v144(constB35))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB35, bitIndex2)) | v144(constB35) | (~v88(constB35, bitIndex1)) | v88(constB35, bitIndex0)))),
% 49.84/32.95 inference(monotonicity,[status(thm)],[25124])).
% 49.84/32.95 tff(25126,plain,
% 49.84/32.95 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB35, bitIndex2)) | (~v88(constB35, bitIndex1)) | v88(constB35, bitIndex0) | v144(constB35))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB35, bitIndex2)) | v144(constB35) | (~v88(constB35, bitIndex1)) | v88(constB35, bitIndex0))),
% 49.84/32.95 inference(transitivity,[status(thm)],[25125, 25123])).
% 49.84/32.95 tff(25127,plain,
% 49.84/32.95 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB35, bitIndex2)) | (~v88(constB35, bitIndex1)) | v88(constB35, bitIndex0) | v144(constB35))),
% 49.84/32.95 inference(quant_inst,[status(thm)],[])).
% 49.84/32.95 tff(25128,plain,
% 49.84/32.95 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB35, bitIndex2)) | v144(constB35) | (~v88(constB35, bitIndex1)) | v88(constB35, bitIndex0)),
% 49.84/32.95 inference(modus_ponens,[status(thm)],[25127, 25126])).
% 49.84/32.95 tff(25129,plain,
% 49.84/32.95 ((~v88(constB35, bitIndex2)) | (~v88(constB35, bitIndex1)) | v88(constB35, bitIndex0)),
% 49.84/32.95 inference(unit_resolution,[status(thm)],[25128, 25122, 25112])).
% 49.84/32.95 tff(25130,plain,
% 49.84/32.95 ($false),
% 49.84/32.95 inference(unit_resolution,[status(thm)],[25129, 25111, 25091, 25081])).
% 49.84/32.95 tff(25131,plain,((~v123(constB33)) | v144(constB35)), inference(lemma,lemma(discharge,[]))).
% 49.84/32.95 tff(25132,plain,
% 49.84/32.95 (v144(constB35)),
% 49.84/32.95 inference(unit_resolution,[status(thm)],[25131, 5853])).
% 49.84/32.95 tff(25133,plain,
% 49.84/32.95 (^[VarCurr: $i] : refl((v142(VarCurr) | (~v144(VarCurr))) <=> (v142(VarCurr) | (~v144(VarCurr))))),
% 49.84/32.95 inference(bind,[status(th)],[])).
% 49.84/32.95 tff(25134,plain,
% 49.84/32.95 (![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr))) <=> ![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))),
% 49.84/32.95 inference(quant_intro,[status(thm)],[25133])).
% 49.84/32.95 tff(25135,plain,
% 49.84/32.95 (![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr))) <=> ![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))),
% 49.84/32.95 inference(rewrite,[status(thm)],[])).
% 49.84/32.95 tff(25136,axiom,(![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_30_1_1')).
% 49.84/32.95 tff(25137,plain,
% 49.84/32.95 (![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))),
% 49.84/32.95 inference(modus_ponens,[status(thm)],[25136, 25135])).
% 49.84/32.95 tff(25138,plain,(
% 49.84/32.95 ![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))),
% 49.84/32.95 inference(skolemize,[status(sab)],[25137])).
% 49.84/32.95 tff(25139,plain,
% 49.84/32.95 (![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))),
% 49.84/32.95 inference(modus_ponens,[status(thm)],[25138, 25134])).
% 49.84/32.95 tff(25140,plain,
% 49.84/32.95 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB35) | (~v144(constB35)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB35) | (~v144(constB35)))),
% 49.84/32.95 inference(rewrite,[status(thm)],[])).
% 49.84/32.95 tff(25141,plain,
% 49.84/32.95 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB35) | (~v144(constB35)))),
% 49.84/32.95 inference(quant_inst,[status(thm)],[])).
% 49.84/32.95 tff(25142,plain,
% 49.84/32.95 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB35) | (~v144(constB35))),
% 49.84/32.95 inference(modus_ponens,[status(thm)],[25141, 25140])).
% 49.84/32.95 tff(25143,plain,
% 49.84/32.95 (v142(constB35)),
% 49.84/32.95 inference(unit_resolution,[status(thm)],[25142, 25139, 25132])).
% 49.84/32.95 tff(25144,plain,
% 49.84/32.95 (((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB35) | (~v142(constB35)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB35) | (~v142(constB35)))),
% 49.84/32.95 inference(rewrite,[status(thm)],[])).
% 49.84/32.95 tff(25145,plain,
% 49.84/32.95 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB35) | (~v142(constB35)))),
% 49.84/32.95 inference(quant_inst,[status(thm)],[])).
% 49.84/32.95 tff(25146,plain,
% 49.84/32.95 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB35) | (~v142(constB35))),
% 49.84/32.95 inference(modus_ponens,[status(thm)],[25145, 25144])).
% 49.84/32.95 tff(25147,plain,
% 49.84/32.95 (v198(constB35)),
% 49.84/32.95 inference(unit_resolution,[status(thm)],[25146, 10548, 25143])).
% 49.84/32.95 tff(25148,plain,
% 49.84/32.95 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB35)) | (~v201(constB35)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB35)) | (~v201(constB35)))),
% 49.84/32.95 inference(rewrite,[status(thm)],[])).
% 49.84/32.95 tff(25149,plain,
% 49.84/32.95 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB35)) | (~v201(constB35)))),
% 49.84/32.95 inference(quant_inst,[status(thm)],[])).
% 49.84/32.95 tff(25150,plain,
% 49.84/32.95 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB35)) | (~v201(constB35))),
% 49.84/32.95 inference(modus_ponens,[status(thm)],[25149, 25148])).
% 49.84/32.95 tff(25151,plain,
% 49.84/32.95 (~v201(constB35)),
% 49.84/32.95 inference(unit_resolution,[status(thm)],[25150, 8823, 25147])).
% 49.84/32.95 tff(25152,plain,
% 49.84/32.95 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB35) | (~v198(constB35)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB35) | (~v198(constB35)))),
% 49.84/32.95 inference(rewrite,[status(thm)],[])).
% 49.84/32.95 tff(25153,plain,
% 49.84/32.95 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB35) | (~v198(constB35)))),
% 49.84/32.95 inference(quant_inst,[status(thm)],[])).
% 49.84/32.95 tff(25154,plain,
% 49.84/32.95 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB35) | (~v198(constB35))),
% 49.84/32.95 inference(modus_ponens,[status(thm)],[25153, 25152])).
% 49.84/32.95 tff(25155,plain,
% 49.84/32.95 (v197(constB35)),
% 49.84/32.95 inference(unit_resolution,[status(thm)],[25154, 8834, 25147])).
% 49.84/32.95 tff(25156,plain,
% 49.84/32.95 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB35) | v201(constB35) | (~v197(constB35)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB35) | v201(constB35) | (~v197(constB35)))),
% 49.84/32.95 inference(rewrite,[status(thm)],[])).
% 49.84/32.95 tff(25157,plain,
% 49.84/32.95 (((~v197(constB35)) | v201(constB35) | v227(constB35)) <=> (v227(constB35) | v201(constB35) | (~v197(constB35)))),
% 49.84/32.95 inference(rewrite,[status(thm)],[])).
% 49.84/32.95 tff(25158,plain,
% 49.84/32.95 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB35)) | v201(constB35) | v227(constB35))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB35) | v201(constB35) | (~v197(constB35))))),
% 49.84/32.95 inference(monotonicity,[status(thm)],[25157])).
% 49.84/32.95 tff(25159,plain,
% 49.84/32.95 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB35)) | v201(constB35) | v227(constB35))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB35) | v201(constB35) | (~v197(constB35)))),
% 49.84/32.95 inference(transitivity,[status(thm)],[25158, 25156])).
% 49.84/32.95 tff(25160,plain,
% 49.84/32.95 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB35)) | v201(constB35) | v227(constB35))),
% 49.84/32.95 inference(quant_inst,[status(thm)],[])).
% 49.84/32.95 tff(25161,plain,
% 49.84/32.95 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB35) | v201(constB35) | (~v197(constB35))),
% 49.84/32.95 inference(modus_ponens,[status(thm)],[25160, 25159])).
% 49.84/32.95 tff(25162,plain,
% 49.84/32.95 (v227(constB35)),
% 49.84/32.95 inference(unit_resolution,[status(thm)],[25161, 8848, 25155, 25151])).
% 49.84/32.95 tff(25163,plain,
% 49.84/32.95 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB35)) | (~v223(constB35, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB35)) | (~v223(constB35, bitIndex0)))),
% 49.84/32.95 inference(rewrite,[status(thm)],[])).
% 49.84/32.95 tff(25164,plain,
% 49.84/32.95 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB35)) | (~v223(constB35, bitIndex0)))),
% 49.84/32.95 inference(quant_inst,[status(thm)],[])).
% 49.84/32.95 tff(25165,plain,
% 49.84/32.95 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB35)) | (~v223(constB35, bitIndex0))),
% 49.84/32.95 inference(modus_ponens,[status(thm)],[25164, 25163])).
% 49.84/32.95 tff(25166,plain,
% 49.84/32.95 (~v223(constB35, bitIndex0)),
% 49.84/32.95 inference(unit_resolution,[status(thm)],[25165, 8862, 25162])).
% 49.84/32.95 tff(25167,plain,
% 49.84/32.95 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB35, bitIndex0) | (~v222(constB35)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | v223(constB35, bitIndex0) | (~v222(constB35)))),
% 49.84/32.95 inference(rewrite,[status(thm)],[])).
% 49.84/32.95 tff(25168,plain,
% 49.84/32.95 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB35, bitIndex0) | (~v222(constB35)))),
% 49.84/32.95 inference(quant_inst,[status(thm)],[])).
% 49.84/32.95 tff(25169,plain,
% 49.84/32.95 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | v223(constB35, bitIndex0) | (~v222(constB35))),
% 49.84/32.95 inference(modus_ponens,[status(thm)],[25168, 25167])).
% 49.84/32.95 tff(25170,plain,
% 49.84/32.95 (~v222(constB35)),
% 49.84/32.95 inference(unit_resolution,[status(thm)],[25169, 10578, 25166])).
% 49.84/32.95 tff(25171,plain,
% 49.84/32.95 (v88(constB35, bitIndex1)),
% 49.84/32.95 inference(unit_resolution,[status(thm)],[25090, 8707, 5995])).
% 49.84/32.95 tff(25172,plain,
% 49.84/32.95 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v139(constB35)) | (~v88(constB35, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB35)) | (~v88(constB35, bitIndex1)))),
% 49.84/32.95 inference(rewrite,[status(thm)],[])).
% 49.84/32.95 tff(25173,plain,
% 49.84/32.95 (((~v88(constB35, bitIndex1)) | (~v139(constB35))) <=> ((~v139(constB35)) | (~v88(constB35, bitIndex1)))),
% 49.84/32.95 inference(rewrite,[status(thm)],[])).
% 49.84/32.95 tff(25174,plain,
% 49.84/32.95 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB35, bitIndex1)) | (~v139(constB35)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v139(constB35)) | (~v88(constB35, bitIndex1))))),
% 49.84/32.95 inference(monotonicity,[status(thm)],[25173])).
% 49.84/32.95 tff(25175,plain,
% 49.84/32.95 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB35, bitIndex1)) | (~v139(constB35)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB35)) | (~v88(constB35, bitIndex1)))),
% 49.84/32.95 inference(transitivity,[status(thm)],[25174, 25172])).
% 49.84/32.95 tff(25176,plain,
% 49.84/32.95 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB35, bitIndex1)) | (~v139(constB35)))),
% 49.84/32.95 inference(quant_inst,[status(thm)],[])).
% 49.84/32.95 tff(25177,plain,
% 49.84/32.95 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB35)) | (~v88(constB35, bitIndex1))),
% 49.84/32.95 inference(modus_ponens,[status(thm)],[25176, 25175])).
% 49.84/32.95 tff(25178,plain,
% 49.84/32.95 (~v139(constB35)),
% 49.84/32.95 inference(unit_resolution,[status(thm)],[25177, 10589, 25171])).
% 49.84/32.95 tff(25179,plain,
% 49.84/32.95 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v140(constB35)) | (~v88(constB35, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v140(constB35)) | (~v88(constB35, bitIndex1)))),
% 49.84/32.95 inference(rewrite,[status(thm)],[])).
% 49.84/32.95 tff(25180,plain,
% 49.84/32.95 (((~v88(constB35, bitIndex1)) | (~v140(constB35))) <=> ((~v140(constB35)) | (~v88(constB35, bitIndex1)))),
% 49.84/32.95 inference(rewrite,[status(thm)],[])).
% 49.84/32.95 tff(25181,plain,
% 49.84/32.95 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB35, bitIndex1)) | (~v140(constB35)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v140(constB35)) | (~v88(constB35, bitIndex1))))),
% 49.84/32.95 inference(monotonicity,[status(thm)],[25180])).
% 49.84/32.95 tff(25182,plain,
% 49.84/32.95 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB35, bitIndex1)) | (~v140(constB35)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v140(constB35)) | (~v88(constB35, bitIndex1)))),
% 49.84/32.95 inference(transitivity,[status(thm)],[25181, 25179])).
% 49.84/32.95 tff(25183,plain,
% 49.84/32.95 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB35, bitIndex1)) | (~v140(constB35)))),
% 49.84/32.95 inference(quant_inst,[status(thm)],[])).
% 49.84/32.95 tff(25184,plain,
% 49.84/32.95 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v140(constB35)) | (~v88(constB35, bitIndex1))),
% 49.84/32.95 inference(modus_ponens,[status(thm)],[25183, 25182])).
% 49.84/32.95 tff(25185,plain,
% 49.84/32.95 (~v140(constB35)),
% 49.84/32.95 inference(unit_resolution,[status(thm)],[25184, 9002, 25171])).
% 49.84/32.95 tff(25186,plain,
% 49.84/32.95 (((~![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))),
% 49.84/32.95 inference(rewrite,[status(thm)],[])).
% 49.84/32.95 tff(25187,plain,
% 49.84/32.95 ((v140(constB35) | v139(constB35) | (~v200(constB35))) <=> ((~v200(constB35)) | v140(constB35) | v139(constB35))),
% 49.84/32.95 inference(rewrite,[status(thm)],[])).
% 49.84/32.95 tff(25188,plain,
% 49.84/32.95 (((~![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)))),
% 49.84/32.95 inference(monotonicity,[status(thm)],[25187])).
% 49.84/32.95 tff(25189,plain,
% 49.84/32.95 (((~![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))),
% 49.84/32.95 inference(transitivity,[status(thm)],[25188, 25186])).
% 49.84/32.95 tff(25190,plain,
% 49.84/32.95 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB35) | v139(constB35) | (~v200(constB35)))),
% 49.84/32.95 inference(quant_inst,[status(thm)],[])).
% 49.84/32.95 tff(25191,plain,
% 49.84/32.95 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (~v200(constB35)) | v140(constB35) | v139(constB35)),
% 49.84/32.95 inference(modus_ponens,[status(thm)],[25190, 25189])).
% 49.84/32.95 tff(25192,plain,
% 49.84/32.95 (~v200(constB35)),
% 49.84/32.95 inference(unit_resolution,[status(thm)],[25191, 10610, 25185, 25178])).
% 49.84/32.95 tff(25193,plain,
% 49.84/32.95 (v88(constB35, bitIndex2)),
% 49.84/32.95 inference(unit_resolution,[status(thm)],[25110, 25107, 5964])).
% 49.84/32.95 tff(25194,plain,
% 49.84/32.95 (^[VarCurr: $i] : refl(((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr))) <=> ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr))))),
% 49.84/32.95 inference(bind,[status(th)],[])).
% 49.84/32.95 tff(25195,plain,
% 49.84/32.95 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))),
% 49.84/32.95 inference(quant_intro,[status(thm)],[25194])).
% 49.84/32.95 tff(25196,plain,
% 49.84/32.95 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))),
% 49.84/32.95 inference(rewrite,[status(thm)],[])).
% 49.84/32.95 tff(25197,axiom,(![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_11_1_1_4')).
% 49.84/32.95 tff(25198,plain,
% 49.84/32.95 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))),
% 49.84/32.95 inference(modus_ponens,[status(thm)],[25197, 25196])).
% 49.84/32.95 tff(25199,plain,(
% 49.84/32.95 ![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))),
% 49.84/32.95 inference(skolemize,[status(sab)],[25198])).
% 49.84/32.95 tff(25200,plain,
% 49.84/32.95 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))),
% 49.84/32.95 inference(modus_ponens,[status(thm)],[25199, 25195])).
% 49.84/32.95 tff(25201,plain,
% 49.84/32.95 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v141(constB35)) | (~v88(constB35, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v141(constB35)) | (~v88(constB35, bitIndex2)))),
% 49.84/32.95 inference(rewrite,[status(thm)],[])).
% 49.84/32.95 tff(25202,plain,
% 49.84/32.95 (((~v88(constB35, bitIndex2)) | (~v141(constB35))) <=> ((~v141(constB35)) | (~v88(constB35, bitIndex2)))),
% 49.84/32.95 inference(rewrite,[status(thm)],[])).
% 49.84/32.95 tff(25203,plain,
% 49.84/32.95 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB35, bitIndex2)) | (~v141(constB35)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v141(constB35)) | (~v88(constB35, bitIndex2))))),
% 49.84/32.95 inference(monotonicity,[status(thm)],[25202])).
% 49.84/32.95 tff(25204,plain,
% 49.84/32.95 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB35, bitIndex2)) | (~v141(constB35)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v141(constB35)) | (~v88(constB35, bitIndex2)))),
% 49.84/32.95 inference(transitivity,[status(thm)],[25203, 25201])).
% 49.84/32.95 tff(25205,plain,
% 49.84/32.95 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB35, bitIndex2)) | (~v141(constB35)))),
% 49.84/32.95 inference(quant_inst,[status(thm)],[])).
% 49.84/32.95 tff(25206,plain,
% 49.84/32.95 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v141(constB35)) | (~v88(constB35, bitIndex2))),
% 49.84/32.95 inference(modus_ponens,[status(thm)],[25205, 25204])).
% 49.84/32.95 tff(25207,plain,
% 49.84/32.95 (~v141(constB35)),
% 49.84/32.95 inference(unit_resolution,[status(thm)],[25206, 25200, 25193])).
% 49.84/32.95 tff(25208,plain,
% 49.84/32.95 (((~![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)))),
% 49.84/32.95 inference(rewrite,[status(thm)],[])).
% 49.84/32.95 tff(25209,plain,
% 49.84/32.95 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB35) | v200(constB35) | (~v166(constB35)))),
% 49.84/32.95 inference(quant_inst,[status(thm)],[])).
% 49.84/32.95 tff(25210,plain,
% 49.84/32.95 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB35) | v200(constB35) | (~v166(constB35))),
% 49.84/32.95 inference(modus_ponens,[status(thm)],[25209, 25208])).
% 49.84/32.95 tff(25211,plain,
% 49.84/32.95 (~v166(constB35)),
% 49.84/32.95 inference(unit_resolution,[status(thm)],[25210, 10638, 25207, 25192])).
% 49.84/32.95 tff(25212,plain,
% 49.84/32.95 (((~![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)))),
% 49.84/32.95 inference(rewrite,[status(thm)],[])).
% 49.84/32.95 tff(25213,plain,
% 49.84/32.95 (((~v197(constB35)) | v166(constB35) | v241(constB35)) <=> (v241(constB35) | v166(constB35) | (~v197(constB35)))),
% 49.84/32.95 inference(rewrite,[status(thm)],[])).
% 49.84/32.95 tff(25214,plain,
% 49.84/32.95 (((~![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))))),
% 49.84/32.95 inference(monotonicity,[status(thm)],[25213])).
% 49.84/32.95 tff(25215,plain,
% 49.84/32.95 (((~![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)))),
% 49.84/32.95 inference(transitivity,[status(thm)],[25214, 25212])).
% 49.84/32.95 tff(25216,plain,
% 49.84/32.95 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB35)) | v166(constB35) | v241(constB35))),
% 49.84/32.95 inference(quant_inst,[status(thm)],[])).
% 49.84/32.95 tff(25217,plain,
% 49.84/32.95 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB35) | v166(constB35) | (~v197(constB35))),
% 49.84/32.95 inference(modus_ponens,[status(thm)],[25216, 25215])).
% 49.84/32.95 tff(25218,plain,
% 49.84/32.95 (v241(constB35) | (~v197(constB35))),
% 49.84/32.95 inference(unit_resolution,[status(thm)],[25217, 10277, 25211])).
% 49.84/32.95 tff(25219,plain,
% 49.84/32.95 (v241(constB35)),
% 49.84/32.95 inference(unit_resolution,[status(thm)],[25218, 25155])).
% 49.84/32.95 tff(25220,plain,
% 49.84/32.95 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB35)) | (~v223(constB35, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB35)) | (~v223(constB35, bitIndex2)))),
% 49.84/32.95 inference(rewrite,[status(thm)],[])).
% 49.84/32.95 tff(25221,plain,
% 49.84/32.95 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB35)) | (~v223(constB35, bitIndex2)))),
% 49.84/32.95 inference(quant_inst,[status(thm)],[])).
% 49.84/32.95 tff(25222,plain,
% 49.84/32.95 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB35)) | (~v223(constB35, bitIndex2))),
% 49.84/32.95 inference(modus_ponens,[status(thm)],[25221, 25220])).
% 49.84/32.95 tff(25223,plain,
% 49.84/32.95 (~v223(constB35, bitIndex2)),
% 49.84/32.95 inference(unit_resolution,[status(thm)],[25222, 10292, 25219])).
% 49.84/32.95 tff(25224,plain,
% 49.84/32.95 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB35)) | v223(constB35, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB35)) | v223(constB35, bitIndex2))),
% 49.84/32.95 inference(rewrite,[status(thm)],[])).
% 49.84/32.95 tff(25225,plain,
% 49.84/32.95 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB35)) | v223(constB35, bitIndex2))),
% 49.84/32.95 inference(quant_inst,[status(thm)],[])).
% 49.84/32.95 tff(25226,plain,
% 49.84/32.95 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB35)) | v223(constB35, bitIndex2)),
% 49.84/32.95 inference(modus_ponens,[status(thm)],[25225, 25224])).
% 49.84/32.95 tff(25227,plain,
% 49.84/32.95 (~v224(constB35)),
% 49.84/32.95 inference(unit_resolution,[status(thm)],[25226, 10343, 25223])).
% 49.84/32.95 tff(25228,plain,
% 49.84/32.95 (((~![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)))),
% 49.84/32.95 inference(rewrite,[status(thm)],[])).
% 49.84/32.95 tff(25229,plain,
% 49.84/32.95 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB35) | v224(constB35) | (~v236(constB35)))),
% 49.84/32.95 inference(quant_inst,[status(thm)],[])).
% 49.84/32.95 tff(25230,plain,
% 49.84/32.95 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB35) | v224(constB35) | (~v236(constB35))),
% 49.84/32.95 inference(modus_ponens,[status(thm)],[25229, 25228])).
% 49.84/32.95 tff(25231,plain,
% 49.84/32.95 (~v236(constB35)),
% 49.84/32.95 inference(unit_resolution,[status(thm)],[25230, 8968, 25227, 25170])).
% 49.84/32.95 tff(25232,plain,
% 49.84/32.95 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB35) | (~v232(constB35)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB35) | (~v232(constB35)))),
% 49.84/32.95 inference(rewrite,[status(thm)],[])).
% 49.84/32.95 tff(25233,plain,
% 49.84/32.95 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB35) | (~v232(constB35)))),
% 49.84/32.95 inference(quant_inst,[status(thm)],[])).
% 49.84/32.95 tff(25234,plain,
% 49.84/32.95 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB35) | (~v232(constB35))),
% 49.84/32.95 inference(modus_ponens,[status(thm)],[25233, 25232])).
% 49.84/32.95 tff(25235,plain,
% 49.84/32.95 (~v232(constB35)),
% 49.84/32.95 inference(unit_resolution,[status(thm)],[25234, 8980, 25231])).
% 49.84/32.95 tff(25236,plain,
% 49.84/32.95 (((~![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))),
% 49.84/32.95 inference(rewrite,[status(thm)],[])).
% 49.84/32.95 tff(25237,plain,
% 49.84/32.95 ((v140(constB35) | v139(constB35) | (~v148(constB35))) <=> ((~v148(constB35)) | v140(constB35) | v139(constB35))),
% 49.84/32.95 inference(rewrite,[status(thm)],[])).
% 49.84/32.95 tff(25238,plain,
% 49.84/32.95 (((~![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)))),
% 49.84/32.95 inference(monotonicity,[status(thm)],[25237])).
% 49.84/32.95 tff(25239,plain,
% 49.84/32.95 (((~![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))),
% 49.84/32.95 inference(transitivity,[status(thm)],[25238, 25236])).
% 49.84/32.95 tff(25240,plain,
% 49.84/32.95 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB35) | v139(constB35) | (~v148(constB35)))),
% 49.84/32.95 inference(quant_inst,[status(thm)],[])).
% 49.84/32.95 tff(25241,plain,
% 49.84/32.95 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (~v148(constB35)) | v140(constB35) | v139(constB35)),
% 49.84/32.95 inference(modus_ponens,[status(thm)],[25240, 25239])).
% 49.84/32.95 tff(25242,plain,
% 49.84/32.95 (~v148(constB35)),
% 49.84/32.95 inference(unit_resolution,[status(thm)],[25241, 9016, 25185, 25178])).
% 49.84/32.95 tff(25243,plain,
% 49.84/32.95 (((~![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)))),
% 49.84/32.95 inference(rewrite,[status(thm)],[])).
% 49.84/32.95 tff(25244,plain,
% 49.84/32.95 ((v148(constB35) | (~v197(constB35)) | v252(constB35)) <=> (v252(constB35) | v148(constB35) | (~v197(constB35)))),
% 49.84/32.95 inference(rewrite,[status(thm)],[])).
% 49.84/32.95 tff(25245,plain,
% 49.84/32.95 (((~![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))))),
% 49.84/32.95 inference(monotonicity,[status(thm)],[25244])).
% 49.84/32.95 tff(25246,plain,
% 49.84/32.95 (((~![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)))),
% 49.84/32.95 inference(transitivity,[status(thm)],[25245, 25243])).
% 49.84/32.95 tff(25247,plain,
% 49.84/32.95 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB35) | (~v197(constB35)) | v252(constB35))),
% 49.84/32.95 inference(quant_inst,[status(thm)],[])).
% 49.84/32.95 tff(25248,plain,
% 49.84/32.95 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB35) | v148(constB35) | (~v197(constB35))),
% 49.84/32.95 inference(modus_ponens,[status(thm)],[25247, 25246])).
% 49.84/32.95 tff(25249,plain,
% 49.84/32.95 (v252(constB35) | (~v197(constB35))),
% 49.84/32.95 inference(unit_resolution,[status(thm)],[25248, 9033, 25242])).
% 49.84/32.95 tff(25250,plain,
% 49.84/32.95 (v252(constB35)),
% 49.84/32.95 inference(unit_resolution,[status(thm)],[25249, 25155])).
% 49.84/32.95 tff(25251,plain,
% 49.84/32.95 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB35)) | (~v223(constB35, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB35)) | (~v223(constB35, bitIndex3)))),
% 49.84/32.95 inference(rewrite,[status(thm)],[])).
% 49.84/32.95 tff(25252,plain,
% 49.84/32.95 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB35)) | (~v223(constB35, bitIndex3)))),
% 49.84/32.95 inference(quant_inst,[status(thm)],[])).
% 49.84/32.95 tff(25253,plain,
% 49.84/32.95 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB35)) | (~v223(constB35, bitIndex3))),
% 49.84/32.95 inference(modus_ponens,[status(thm)],[25252, 25251])).
% 49.84/32.95 tff(25254,plain,
% 49.84/32.95 (~v223(constB35, bitIndex3)),
% 49.84/32.95 inference(unit_resolution,[status(thm)],[25253, 9048, 25250])).
% 49.84/32.95 tff(25255,plain,
% 49.84/32.95 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB35)) | v223(constB35, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB35)) | v223(constB35, bitIndex3))),
% 49.84/32.95 inference(rewrite,[status(thm)],[])).
% 49.84/32.95 tff(25256,plain,
% 49.84/32.95 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB35)) | v223(constB35, bitIndex3))),
% 49.84/32.95 inference(quant_inst,[status(thm)],[])).
% 49.84/32.95 tff(25257,plain,
% 49.84/32.95 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB35)) | v223(constB35, bitIndex3)),
% 49.84/32.95 inference(modus_ponens,[status(thm)],[25256, 25255])).
% 49.84/32.95 tff(25258,plain,
% 49.84/32.95 (~v237(constB35)),
% 49.84/32.95 inference(unit_resolution,[status(thm)],[25257, 9062, 25254])).
% 49.84/32.95 tff(25259,plain,
% 49.84/32.95 (((~![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)))),
% 49.84/32.95 inference(rewrite,[status(thm)],[])).
% 49.84/32.95 tff(25260,plain,
% 49.84/32.95 ((v237(constB35) | v232(constB35) | (~v248(constB35))) <=> (v232(constB35) | v237(constB35) | (~v248(constB35)))),
% 49.84/32.95 inference(rewrite,[status(thm)],[])).
% 49.84/32.95 tff(25261,plain,
% 49.84/32.95 (((~![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))))),
% 49.84/32.95 inference(monotonicity,[status(thm)],[25260])).
% 49.84/32.96 tff(25262,plain,
% 49.84/32.96 (((~![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)))),
% 49.84/32.96 inference(transitivity,[status(thm)],[25261, 25259])).
% 49.84/32.96 tff(25263,plain,
% 49.84/32.96 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB35) | v232(constB35) | (~v248(constB35)))),
% 49.84/32.96 inference(quant_inst,[status(thm)],[])).
% 49.84/32.96 tff(25264,plain,
% 49.84/32.96 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v232(constB35) | v237(constB35) | (~v248(constB35))),
% 49.84/32.96 inference(modus_ponens,[status(thm)],[25263, 25262])).
% 49.84/32.96 tff(25265,plain,
% 49.84/32.96 (v232(constB35) | (~v248(constB35))),
% 49.84/32.96 inference(unit_resolution,[status(thm)],[25264, 9076, 25258])).
% 49.84/32.96 tff(25266,plain,
% 49.84/32.96 (~v248(constB35)),
% 49.84/32.96 inference(unit_resolution,[status(thm)],[25265, 25235])).
% 49.84/32.96 tff(25267,plain,
% 49.84/32.96 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB35) | (~v244(constB35)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB35) | (~v244(constB35)))),
% 49.84/32.96 inference(rewrite,[status(thm)],[])).
% 49.84/32.96 tff(25268,plain,
% 49.84/32.96 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB35) | (~v244(constB35)))),
% 49.84/32.96 inference(quant_inst,[status(thm)],[])).
% 49.84/32.96 tff(25269,plain,
% 49.84/32.96 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB35) | (~v244(constB35))),
% 49.84/32.96 inference(modus_ponens,[status(thm)],[25268, 25267])).
% 49.84/32.96 tff(25270,plain,
% 49.84/32.96 (~v244(constB35)),
% 49.84/32.96 inference(unit_resolution,[status(thm)],[25269, 11335, 25266])).
% 49.84/32.96 tff(25271,plain,
% 49.84/32.96 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB35) | (~v216(constB35, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB35) | (~v216(constB35, bitIndex1)))),
% 49.84/32.96 inference(rewrite,[status(thm)],[])).
% 49.84/32.96 tff(25272,plain,
% 49.84/32.96 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB35) | (~v216(constB35, bitIndex1)))),
% 49.84/32.96 inference(quant_inst,[status(thm)],[])).
% 49.84/32.96 tff(25273,plain,
% 49.84/32.96 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB35) | (~v216(constB35, bitIndex1))),
% 49.84/32.96 inference(modus_ponens,[status(thm)],[25272, 25271])).
% 49.84/32.96 tff(25274,plain,
% 49.84/32.96 (~v216(constB35, bitIndex1)),
% 49.84/32.96 inference(unit_resolution,[status(thm)],[25273, 11346, 25270])).
% 49.84/32.96 tff(25275,plain,
% 49.84/32.96 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB35, bitIndex1) | (~v254(constB35)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB35, bitIndex1) | (~v254(constB35)))),
% 49.84/32.96 inference(rewrite,[status(thm)],[])).
% 49.84/32.96 tff(25276,plain,
% 49.84/32.96 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB35, bitIndex1) | (~v254(constB35)))),
% 49.84/32.96 inference(quant_inst,[status(thm)],[])).
% 49.84/32.96 tff(25277,plain,
% 49.84/32.96 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB35, bitIndex1) | (~v254(constB35))),
% 49.84/32.96 inference(modus_ponens,[status(thm)],[25276, 25275])).
% 49.84/32.96 tff(25278,plain,
% 49.84/32.96 (~v254(constB35)),
% 49.84/32.96 inference(unit_resolution,[status(thm)],[25277, 11357, 25274])).
% 49.84/32.96 tff(25279,plain,
% 49.84/32.96 (((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB35) | (~v221(constB35)))) <=> ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB35) | (~v221(constB35)))),
% 49.84/32.96 inference(rewrite,[status(thm)],[])).
% 49.84/32.96 tff(25280,plain,
% 49.84/32.96 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB35) | (~v221(constB35)))),
% 49.84/32.96 inference(quant_inst,[status(thm)],[])).
% 49.84/32.96 tff(25281,plain,
% 49.84/32.96 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB35) | (~v221(constB35))),
% 49.84/32.96 inference(modus_ponens,[status(thm)],[25280, 25279])).
% 49.84/32.96 tff(25282,plain,
% 49.84/32.96 (~v221(constB35)),
% 49.84/32.96 inference(unit_resolution,[status(thm)],[25281, 11505, 25227])).
% 49.84/32.96 tff(25283,plain,
% 49.84/32.96 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB35) | (~v231(constB35)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB35) | (~v231(constB35)))),
% 49.84/32.96 inference(rewrite,[status(thm)],[])).
% 49.84/32.96 tff(25284,plain,
% 49.84/32.96 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB35) | (~v231(constB35)))),
% 49.84/32.96 inference(quant_inst,[status(thm)],[])).
% 49.84/32.96 tff(25285,plain,
% 49.84/32.96 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB35) | (~v231(constB35))),
% 49.84/32.96 inference(modus_ponens,[status(thm)],[25284, 25283])).
% 49.84/32.96 tff(25286,plain,
% 49.84/32.96 (~v231(constB35)),
% 49.84/32.96 inference(unit_resolution,[status(thm)],[25285, 11162, 25258])).
% 49.84/32.96 tff(25287,plain,
% 49.84/32.96 (((~![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)))),
% 49.84/32.96 inference(rewrite,[status(thm)],[])).
% 49.84/32.96 tff(25288,plain,
% 49.84/32.96 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB35) | v231(constB35) | (~v243(constB35)))),
% 49.84/32.96 inference(quant_inst,[status(thm)],[])).
% 49.84/32.96 tff(25289,plain,
% 49.84/32.96 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB35) | v231(constB35) | (~v243(constB35))),
% 49.84/32.96 inference(modus_ponens,[status(thm)],[25288, 25287])).
% 49.84/32.96 tff(25290,plain,
% 49.84/32.96 (~v243(constB35)),
% 49.84/32.96 inference(unit_resolution,[status(thm)],[25289, 11206, 25286, 25282])).
% 49.84/32.96 tff(25291,plain,
% 49.84/32.96 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB35) | v255(constB35))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB35) | v255(constB35))),
% 49.84/32.96 inference(rewrite,[status(thm)],[])).
% 49.84/32.96 tff(25292,plain,
% 49.84/32.96 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB35) | v255(constB35))),
% 49.84/32.96 inference(quant_inst,[status(thm)],[])).
% 49.84/32.96 tff(25293,plain,
% 49.84/32.96 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB35) | v255(constB35)),
% 49.84/32.96 inference(modus_ponens,[status(thm)],[25292, 25291])).
% 49.84/32.96 tff(25294,plain,
% 49.84/32.96 (v255(constB35)),
% 49.84/32.96 inference(unit_resolution,[status(thm)],[25293, 11222, 25290])).
% 49.84/32.96 tff(25295,plain,
% 49.84/32.96 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB35)) | (~v216(constB35, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB35)) | (~v216(constB35, bitIndex2)))),
% 49.84/32.96 inference(rewrite,[status(thm)],[])).
% 49.84/32.96 tff(25296,plain,
% 49.84/32.96 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB35)) | (~v216(constB35, bitIndex2)))),
% 49.84/32.96 inference(quant_inst,[status(thm)],[])).
% 49.84/32.96 tff(25297,plain,
% 49.84/32.96 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB35)) | (~v216(constB35, bitIndex2))),
% 49.84/32.96 inference(modus_ponens,[status(thm)],[25296, 25295])).
% 49.84/32.96 tff(25298,plain,
% 49.84/32.96 (~v216(constB35, bitIndex2)),
% 49.84/32.96 inference(unit_resolution,[status(thm)],[25297, 11237, 25294])).
% 49.84/32.96 tff(25299,plain,
% 49.84/32.96 (((~![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)))) | v216(constB35, bitIndex2) | v254(constB35) | (~v215(constB35)))),
% 49.84/32.96 inference(rewrite,[status(thm)],[])).
% 49.84/32.96 tff(25300,plain,
% 49.84/32.96 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB35, bitIndex2) | v254(constB35) | (~v215(constB35)))),
% 49.84/32.96 inference(quant_inst,[status(thm)],[])).
% 49.84/32.96 tff(25301,plain,
% 49.84/32.96 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB35, bitIndex2) | v254(constB35) | (~v215(constB35))),
% 49.84/32.96 inference(modus_ponens,[status(thm)],[25300, 25299])).
% 49.84/32.96 tff(25302,plain,
% 49.84/32.96 (v254(constB35) | (~v215(constB35))),
% 49.84/32.96 inference(unit_resolution,[status(thm)],[25301, 11278, 25298])).
% 49.84/32.96 tff(25303,plain,
% 49.84/32.96 (~v215(constB35)),
% 49.84/32.96 inference(unit_resolution,[status(thm)],[25302, 25278])).
% 49.84/32.96 tff(25304,plain,
% 49.84/32.96 ($false),
% 49.84/32.96 inference(unit_resolution,[status(thm)],[25303, 25063])).
% 49.84/32.96 tff(25305,plain,(~(constB35 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 49.84/32.96 tff(25306,assumption,(constB137 = sK0_VarCurr), introduced(assumption)).
% 49.84/32.96 tff(25307,plain,
% 49.84/32.96 (v215(constB137) <=> v215(sK0_VarCurr)),
% 49.84/32.96 inference(monotonicity,[status(thm)],[25306])).
% 49.84/32.96 tff(25308,plain,
% 49.84/32.96 (v215(sK0_VarCurr) <=> v215(constB137)),
% 49.84/32.96 inference(symmetry,[status(thm)],[25307])).
% 49.84/32.96 tff(25309,plain,
% 49.84/32.96 (v215(constB137)),
% 49.84/32.96 inference(modus_ponens,[status(thm)],[11268, 25308])).
% 49.84/32.96 tff(25310,plain,
% 49.84/32.96 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB137, bitIndex0)) | v88(constB137, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB137, bitIndex0)) | v88(constB137, bitIndex0))),
% 49.84/32.96 inference(rewrite,[status(thm)],[])).
% 49.84/32.96 tff(25311,plain,
% 49.84/32.96 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB137, bitIndex0)) | v88(constB137, bitIndex0))),
% 49.84/32.96 inference(quant_inst,[status(thm)],[])).
% 49.84/32.96 tff(25312,plain,
% 49.84/32.96 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB137, bitIndex0)) | v88(constB137, bitIndex0)),
% 49.84/32.96 inference(modus_ponens,[status(thm)],[25311, 25310])).
% 49.84/32.96 tff(25313,plain,
% 49.84/32.96 (v88(constB137, bitIndex0)),
% 49.84/32.96 inference(unit_resolution,[status(thm)],[25312, 8662, 19357])).
% 49.84/32.96 tff(25314,plain,
% 49.84/32.96 (^[VarCurr: $i] : refl(((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr))) <=> ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr))))),
% 49.84/32.96 inference(bind,[status(th)],[])).
% 49.84/32.96 tff(25315,plain,
% 49.84/32.96 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))),
% 49.84/32.96 inference(quant_intro,[status(thm)],[25314])).
% 49.84/32.96 tff(25316,plain,
% 49.84/32.96 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))),
% 49.84/32.96 inference(rewrite,[status(thm)],[])).
% 49.84/32.96 tff(25317,axiom,(![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_13_1_1_4')).
% 49.84/32.96 tff(25318,plain,
% 49.84/32.96 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))),
% 49.84/32.96 inference(modus_ponens,[status(thm)],[25317, 25316])).
% 49.84/32.96 tff(25319,plain,(
% 49.84/32.96 ![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))),
% 49.84/32.96 inference(skolemize,[status(sab)],[25318])).
% 49.84/32.96 tff(25320,plain,
% 49.84/32.96 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))),
% 49.84/32.96 inference(modus_ponens,[status(thm)],[25319, 25315])).
% 49.84/32.96 tff(25321,plain,
% 49.84/32.96 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v144(constB137)) | (~v88(constB137, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v144(constB137)) | (~v88(constB137, bitIndex0)))),
% 49.84/32.96 inference(rewrite,[status(thm)],[])).
% 49.84/32.96 tff(25322,plain,
% 49.84/32.96 (((~v88(constB137, bitIndex0)) | (~v144(constB137))) <=> ((~v144(constB137)) | (~v88(constB137, bitIndex0)))),
% 49.84/32.96 inference(rewrite,[status(thm)],[])).
% 49.84/32.96 tff(25323,plain,
% 49.84/32.96 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB137, bitIndex0)) | (~v144(constB137)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v144(constB137)) | (~v88(constB137, bitIndex0))))),
% 49.84/32.96 inference(monotonicity,[status(thm)],[25322])).
% 49.84/32.96 tff(25324,plain,
% 49.84/32.96 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB137, bitIndex0)) | (~v144(constB137)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v144(constB137)) | (~v88(constB137, bitIndex0)))),
% 49.84/32.96 inference(transitivity,[status(thm)],[25323, 25321])).
% 49.84/32.96 tff(25325,plain,
% 49.84/32.96 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | ((~v88(constB137, bitIndex0)) | (~v144(constB137)))),
% 49.84/32.96 inference(quant_inst,[status(thm)],[])).
% 49.84/32.96 tff(25326,plain,
% 49.84/32.96 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v144(VarCurr)))) | (~v144(constB137)) | (~v88(constB137, bitIndex0))),
% 49.84/32.96 inference(modus_ponens,[status(thm)],[25325, 25324])).
% 49.84/32.96 tff(25327,plain,
% 49.84/32.96 (~v144(constB137)),
% 49.84/32.96 inference(unit_resolution,[status(thm)],[25326, 25320, 25313])).
% 49.84/32.96 tff(25328,plain,
% 49.84/32.96 (^[VarCurr: $i] : refl(((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr))) <=> ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr))))),
% 49.84/32.96 inference(bind,[status(th)],[])).
% 49.84/32.96 tff(25329,plain,
% 49.84/32.96 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))),
% 49.84/32.96 inference(quant_intro,[status(thm)],[25328])).
% 49.84/32.96 tff(25330,plain,
% 49.84/32.96 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr))) <=> ![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))),
% 49.84/32.96 inference(rewrite,[status(thm)],[])).
% 49.84/32.96 tff(25331,axiom,(![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_12_1_1_4')).
% 49.84/32.96 tff(25332,plain,
% 49.84/32.96 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))),
% 49.84/32.96 inference(modus_ponens,[status(thm)],[25331, 25330])).
% 49.84/32.96 tff(25333,plain,(
% 49.84/32.96 ![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))),
% 49.84/32.96 inference(skolemize,[status(sab)],[25332])).
% 49.84/32.96 tff(25334,plain,
% 49.84/32.96 (![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))),
% 49.84/32.96 inference(modus_ponens,[status(thm)],[25333, 25329])).
% 49.84/32.96 tff(25335,plain,
% 49.84/32.96 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB137, bitIndex0)) | (~v143(constB137)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v88(constB137, bitIndex0)) | (~v143(constB137)))),
% 49.84/32.96 inference(rewrite,[status(thm)],[])).
% 49.84/32.96 tff(25336,plain,
% 49.84/32.96 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | ((~v88(constB137, bitIndex0)) | (~v143(constB137)))),
% 49.84/32.96 inference(quant_inst,[status(thm)],[])).
% 49.84/32.96 tff(25337,plain,
% 49.84/32.96 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v143(VarCurr)))) | (~v88(constB137, bitIndex0)) | (~v143(constB137))),
% 49.84/32.96 inference(modus_ponens,[status(thm)],[25336, 25335])).
% 49.84/32.96 tff(25338,plain,
% 49.84/32.96 (~v143(constB137)),
% 49.84/32.96 inference(unit_resolution,[status(thm)],[25337, 25334, 25313])).
% 49.84/32.96 tff(25339,plain,
% 49.84/32.96 (^[VarCurr: $i] : refl((v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr))) <=> (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr))))),
% 49.84/32.96 inference(bind,[status(th)],[])).
% 49.84/32.96 tff(25340,plain,
% 49.84/32.96 (![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr))) <=> ![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))),
% 49.84/32.96 inference(quant_intro,[status(thm)],[25339])).
% 49.84/32.96 tff(25341,plain,
% 49.84/32.96 (![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr))) <=> ![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))),
% 49.84/32.96 inference(rewrite,[status(thm)],[])).
% 49.84/32.96 tff(25342,plain,
% 49.84/32.96 (^[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)))))),
% 49.84/32.96 inference(bind,[status(th)],[])).
% 49.84/32.96 tff(25343,plain,
% 49.84/32.96 (![VarCurr: $i] : ((v144(VarCurr) | v143(VarCurr)) | (~v142(VarCurr))) <=> ![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))),
% 49.84/32.96 inference(quant_intro,[status(thm)],[25342])).
% 49.84/32.96 tff(25344,axiom,(![VarCurr: $i] : ((v144(VarCurr) | v143(VarCurr)) | (~v142(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_30_1_3')).
% 49.84/32.96 tff(25345,plain,
% 49.84/32.96 (![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))),
% 49.84/32.96 inference(modus_ponens,[status(thm)],[25344, 25343])).
% 49.84/32.96 tff(25346,plain,
% 49.84/32.96 (![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))),
% 49.84/32.96 inference(modus_ponens,[status(thm)],[25345, 25341])).
% 49.84/32.96 tff(25347,plain,(
% 49.84/32.96 ![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))),
% 49.84/32.96 inference(skolemize,[status(sab)],[25346])).
% 49.84/32.96 tff(25348,plain,
% 49.84/32.96 (![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))),
% 49.84/32.96 inference(modus_ponens,[status(thm)],[25347, 25340])).
% 49.84/32.96 tff(25349,plain,
% 49.84/32.96 (((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB137) | v144(constB137) | (~v142(constB137)))) <=> ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB137) | v144(constB137) | (~v142(constB137)))),
% 49.84/32.96 inference(rewrite,[status(thm)],[])).
% 49.84/32.96 tff(25350,plain,
% 49.84/32.96 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB137) | v144(constB137) | (~v142(constB137)))),
% 49.84/32.96 inference(quant_inst,[status(thm)],[])).
% 49.84/32.96 tff(25351,plain,
% 49.84/32.96 ((~![VarCurr: $i] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB137) | v144(constB137) | (~v142(constB137))),
% 49.84/32.96 inference(modus_ponens,[status(thm)],[25350, 25349])).
% 49.84/32.96 tff(25352,plain,
% 49.84/32.96 (~v142(constB137)),
% 49.84/32.96 inference(unit_resolution,[status(thm)],[25351, 25348, 25338, 25327])).
% 49.84/32.96 tff(25353,assumption,(~v198(constB137)), introduced(assumption)).
% 49.84/32.96 tff(25354,plain,
% 49.84/32.96 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB137) | (~v199(constB137)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB137) | (~v199(constB137)))),
% 49.84/32.96 inference(rewrite,[status(thm)],[])).
% 49.84/32.96 tff(25355,plain,
% 49.84/32.96 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB137) | (~v199(constB137)))),
% 49.84/32.96 inference(quant_inst,[status(thm)],[])).
% 49.84/32.96 tff(25356,plain,
% 49.84/32.96 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB137) | (~v199(constB137))),
% 49.84/32.96 inference(modus_ponens,[status(thm)],[25355, 25354])).
% 49.84/32.96 tff(25357,plain,
% 49.84/32.96 (~v199(constB137)),
% 49.84/32.96 inference(unit_resolution,[status(thm)],[25356, 8809, 25353])).
% 49.84/32.96 tff(25358,plain,
% 49.84/32.96 (((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB137) | (~v141(constB137)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB137) | (~v141(constB137)))),
% 49.84/32.96 inference(rewrite,[status(thm)],[])).
% 49.84/32.96 tff(25359,plain,
% 49.84/32.96 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB137) | (~v141(constB137)))),
% 49.84/32.96 inference(quant_inst,[status(thm)],[])).
% 49.84/32.96 tff(25360,plain,
% 49.84/32.96 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB137) | (~v141(constB137))),
% 49.84/32.96 inference(modus_ponens,[status(thm)],[25359, 25358])).
% 49.84/32.96 tff(25361,plain,
% 49.84/32.96 (~v141(constB137)),
% 49.84/32.96 inference(unit_resolution,[status(thm)],[25360, 8798, 25357])).
% 49.84/32.96 tff(25362,assumption,(~v90(constB136, bitIndex2)), introduced(assumption)).
% 49.84/32.96 tff(25363,plain,
% 49.84/32.96 (((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB137) | (~v142(constB137)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB137) | (~v142(constB137)))),
% 49.84/32.96 inference(rewrite,[status(thm)],[])).
% 49.84/32.96 tff(25364,plain,
% 49.84/32.96 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB137) | (~v142(constB137)))),
% 49.84/32.96 inference(quant_inst,[status(thm)],[])).
% 49.84/32.96 tff(25365,plain,
% 49.84/32.96 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB137) | (~v142(constB137))),
% 49.84/32.96 inference(modus_ponens,[status(thm)],[25364, 25363])).
% 49.84/32.96 tff(25366,plain,
% 49.84/32.96 (~v142(constB137)),
% 49.84/32.96 inference(unit_resolution,[status(thm)],[25365, 10548, 25353])).
% 49.84/32.96 tff(25367,plain,
% 49.84/32.96 (((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB137) | (~v143(constB137)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB137) | (~v143(constB137)))),
% 49.84/32.96 inference(rewrite,[status(thm)],[])).
% 49.84/32.96 tff(25368,plain,
% 49.84/32.96 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB137) | (~v143(constB137)))),
% 49.84/32.96 inference(quant_inst,[status(thm)],[])).
% 49.84/32.96 tff(25369,plain,
% 49.84/32.96 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB137) | (~v143(constB137))),
% 49.84/32.96 inference(modus_ponens,[status(thm)],[25368, 25367])).
% 49.84/32.96 tff(25370,plain,
% 49.84/32.96 (~v143(constB137)),
% 49.84/32.96 inference(unit_resolution,[status(thm)],[25369, 10537, 25366])).
% 49.84/32.96 tff(25371,plain,
% 49.84/32.96 (((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB137) | (~v200(constB137)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB137) | (~v200(constB137)))),
% 49.84/32.96 inference(rewrite,[status(thm)],[])).
% 49.84/32.96 tff(25372,plain,
% 49.84/32.96 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB137) | (~v200(constB137)))),
% 49.84/32.96 inference(quant_inst,[status(thm)],[])).
% 49.84/32.96 tff(25373,plain,
% 49.84/32.96 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB137) | (~v200(constB137))),
% 49.84/32.96 inference(modus_ponens,[status(thm)],[25372, 25371])).
% 49.84/32.96 tff(25374,plain,
% 49.84/32.96 (~v200(constB137)),
% 49.84/32.96 inference(unit_resolution,[status(thm)],[25373, 10203, 25357])).
% 49.84/32.96 tff(25375,plain,
% 49.84/32.96 (((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB137) | (~v140(constB137)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB137) | (~v140(constB137)))),
% 49.84/32.96 inference(rewrite,[status(thm)],[])).
% 49.84/32.96 tff(25376,plain,
% 49.84/32.96 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB137) | (~v140(constB137)))),
% 49.84/32.96 inference(quant_inst,[status(thm)],[])).
% 49.84/32.96 tff(25377,plain,
% 49.84/32.96 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB137) | (~v140(constB137))),
% 49.84/32.96 inference(modus_ponens,[status(thm)],[25376, 25375])).
% 49.84/32.96 tff(25378,plain,
% 49.84/32.96 (~v140(constB137)),
% 49.84/32.96 inference(unit_resolution,[status(thm)],[25377, 10192, 25374])).
% 49.84/32.96 tff(25379,assumption,(~v140(constB137)), introduced(assumption)).
% 49.84/32.96 tff(25380,assumption,(~v143(constB137)), introduced(assumption)).
% 49.84/32.96 tff(25381,assumption,(~v130(constB136, bitIndex2)), introduced(assumption)).
% 49.84/32.96 tff(25382,plain,
% 49.84/32.96 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB136)) | v130(constB136, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB136)) | v130(constB136, bitIndex2))),
% 49.84/32.96 inference(rewrite,[status(thm)],[])).
% 49.84/32.96 tff(25383,plain,
% 49.84/32.96 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB136)) | v130(constB136, bitIndex2))),
% 49.84/32.96 inference(quant_inst,[status(thm)],[])).
% 49.84/32.96 tff(25384,plain,
% 49.84/32.96 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB136)) | v130(constB136, bitIndex2)),
% 49.84/32.96 inference(modus_ponens,[status(thm)],[25383, 25382])).
% 49.84/32.96 tff(25385,plain,
% 49.84/32.96 (~v119(constB136)),
% 49.84/32.96 inference(unit_resolution,[status(thm)],[25384, 337, 25381])).
% 49.84/32.96 tff(25386,assumption,(~v119(constB136)), introduced(assumption)).
% 49.84/32.96 tff(25387,assumption,(~v90(constB136, bitIndex0)), introduced(assumption)).
% 49.84/32.96 tff(25388,plain,
% 49.84/32.96 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB136) | v90(constB136, bitIndex0) | v90(constB136, bitIndex1) | v90(constB136, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB136) | v90(constB136, bitIndex0) | v90(constB136, bitIndex1) | v90(constB136, bitIndex2))),
% 49.84/32.96 inference(rewrite,[status(thm)],[])).
% 49.84/32.96 tff(25389,plain,
% 49.84/32.96 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB136) | v90(constB136, bitIndex0) | v90(constB136, bitIndex1) | v90(constB136, bitIndex2))),
% 49.84/32.96 inference(quant_inst,[status(thm)],[])).
% 49.84/32.96 tff(25390,plain,
% 49.84/32.96 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB136) | v90(constB136, bitIndex0) | v90(constB136, bitIndex1) | v90(constB136, bitIndex2)),
% 49.84/32.96 inference(modus_ponens,[status(thm)],[25389, 25388])).
% 49.84/32.96 tff(25391,plain,
% 49.84/32.96 (v119(constB136) | v90(constB136, bitIndex0) | v90(constB136, bitIndex1)),
% 49.84/32.96 inference(unit_resolution,[status(thm)],[25390, 144, 25362])).
% 49.84/32.96 tff(25392,plain,
% 49.84/32.96 (v90(constB136, bitIndex1)),
% 49.84/32.96 inference(unit_resolution,[status(thm)],[25391, 25387, 25386])).
% 49.84/32.96 tff(25393,plain,
% 49.84/32.96 (((~![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))),
% 49.84/32.96 inference(rewrite,[status(thm)],[])).
% 49.84/32.96 tff(25394,plain,
% 49.84/32.96 (((~nextState(constB136, constB137)) | (~v90(constB136, bitIndex1)) | v100(constB137) | v90(constB137, bitIndex1)) <=> ((~v90(constB136, bitIndex1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, bitIndex1))),
% 49.84/32.96 inference(rewrite,[status(thm)],[])).
% 49.84/32.96 tff(25395,plain,
% 49.84/32.96 (((~![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)))),
% 49.84/32.96 inference(monotonicity,[status(thm)],[25394])).
% 49.84/32.96 tff(25396,plain,
% 49.84/32.96 (((~![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))),
% 49.84/32.96 inference(transitivity,[status(thm)],[25395, 25393])).
% 49.84/32.96 tff(25397,plain,
% 49.84/32.96 ((~![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))),
% 49.84/32.96 inference(quant_inst,[status(thm)],[])).
% 49.84/32.96 tff(25398,plain,
% 49.84/32.96 ((~![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)),
% 49.84/32.96 inference(modus_ponens,[status(thm)],[25397, 25396])).
% 49.84/32.96 tff(25399,plain,
% 49.84/32.96 ((~v90(constB136, bitIndex1)) | v100(constB137) | v90(constB137, bitIndex1)),
% 49.84/32.96 inference(unit_resolution,[status(thm)],[25398, 747, 19265])).
% 49.84/32.96 tff(25400,plain,
% 49.84/32.96 ((~v90(constB136, bitIndex1)) | v90(constB137, bitIndex1)),
% 49.84/32.96 inference(unit_resolution,[status(thm)],[25399, 19277])).
% 49.84/32.96 tff(25401,plain,
% 49.84/32.96 (v90(constB137, bitIndex1)),
% 49.84/32.96 inference(unit_resolution,[status(thm)],[25400, 25392])).
% 49.84/32.96 tff(25402,plain,
% 49.84/32.96 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB137, bitIndex1)) | v88(constB137, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB137, bitIndex1)) | v88(constB137, bitIndex1))),
% 49.84/32.96 inference(rewrite,[status(thm)],[])).
% 49.84/32.96 tff(25403,plain,
% 49.84/32.96 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB137, bitIndex1)) | v88(constB137, bitIndex1))),
% 49.84/32.96 inference(quant_inst,[status(thm)],[])).
% 49.84/32.96 tff(25404,plain,
% 49.84/32.96 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB137, bitIndex1)) | v88(constB137, bitIndex1)),
% 49.84/32.96 inference(modus_ponens,[status(thm)],[25403, 25402])).
% 49.84/32.96 tff(25405,plain,
% 49.84/32.96 (v88(constB137, bitIndex1)),
% 49.84/32.96 inference(unit_resolution,[status(thm)],[25404, 8707, 25401])).
% 49.84/32.96 tff(25406,plain,
% 49.84/32.96 (((~![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)))),
% 49.84/32.96 inference(rewrite,[status(thm)],[])).
% 49.84/32.96 tff(25407,plain,
% 49.84/32.96 (((~nextState(constB136, constB137)) | v90(constB136, bitIndex0) | v100(constB137) | (~v90(constB137, bitIndex0))) <=> (v90(constB136, bitIndex0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, bitIndex0)))),
% 49.84/32.96 inference(rewrite,[status(thm)],[])).
% 49.84/32.96 tff(25408,plain,
% 49.84/32.96 (((~![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))))),
% 49.84/32.96 inference(monotonicity,[status(thm)],[25407])).
% 49.84/32.96 tff(25409,plain,
% 49.84/32.96 (((~![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)))),
% 49.84/32.96 inference(transitivity,[status(thm)],[25408, 25406])).
% 49.84/32.96 tff(25410,plain,
% 49.84/32.96 ((~![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)))),
% 49.84/32.96 inference(quant_inst,[status(thm)],[])).
% 49.84/32.96 tff(25411,plain,
% 49.84/32.96 ((~![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))),
% 49.84/32.96 inference(modus_ponens,[status(thm)],[25410, 25409])).
% 49.84/32.96 tff(25412,plain,
% 49.84/32.96 (v90(constB136, bitIndex0) | v100(constB137) | (~v90(constB137, bitIndex0))),
% 49.84/32.96 inference(unit_resolution,[status(thm)],[25411, 123, 19265])).
% 49.84/32.96 tff(25413,plain,
% 49.84/32.96 (v90(constB136, bitIndex0) | (~v90(constB137, bitIndex0))),
% 49.84/32.96 inference(unit_resolution,[status(thm)],[25412, 19277])).
% 49.84/32.96 tff(25414,plain,
% 49.84/32.96 (~v90(constB137, bitIndex0)),
% 49.84/32.96 inference(unit_resolution,[status(thm)],[25413, 25387])).
% 49.84/32.96 tff(25415,plain,
% 49.84/32.96 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB137, bitIndex0) | (~v88(constB137, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB137, bitIndex0) | (~v88(constB137, bitIndex0)))),
% 49.84/32.96 inference(rewrite,[status(thm)],[])).
% 49.84/32.96 tff(25416,plain,
% 49.84/32.96 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB137, bitIndex0) | (~v88(constB137, bitIndex0)))),
% 49.84/32.96 inference(quant_inst,[status(thm)],[])).
% 49.84/32.96 tff(25417,plain,
% 49.84/32.96 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB137, bitIndex0) | (~v88(constB137, bitIndex0))),
% 49.84/32.96 inference(modus_ponens,[status(thm)],[25416, 25415])).
% 49.84/32.96 tff(25418,plain,
% 49.84/32.96 (~v88(constB137, bitIndex0)),
% 49.84/32.96 inference(unit_resolution,[status(thm)],[25417, 10505, 25414])).
% 49.84/32.96 tff(25419,plain,
% 49.84/32.96 (~v90(constB137, bitIndex2)),
% 49.84/32.96 inference(unit_resolution,[status(thm)],[19285, 25362])).
% 49.84/32.96 tff(25420,plain,
% 49.84/32.96 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB137, bitIndex2) | (~v88(constB137, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB137, bitIndex2) | (~v88(constB137, bitIndex2)))),
% 49.84/32.96 inference(rewrite,[status(thm)],[])).
% 49.84/32.96 tff(25421,plain,
% 49.84/32.96 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB137, bitIndex2) | (~v88(constB137, bitIndex2)))),
% 49.84/32.96 inference(quant_inst,[status(thm)],[])).
% 49.84/32.96 tff(25422,plain,
% 49.84/32.96 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB137, bitIndex2) | (~v88(constB137, bitIndex2))),
% 49.84/32.96 inference(modus_ponens,[status(thm)],[25421, 25420])).
% 49.84/32.96 tff(25423,plain,
% 49.84/32.96 (~v88(constB137, bitIndex2)),
% 49.84/32.96 inference(unit_resolution,[status(thm)],[25422, 8769, 25419])).
% 49.84/32.96 tff(25424,plain,
% 49.84/32.96 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB137, bitIndex2) | (~v88(constB137, bitIndex1)) | v88(constB137, bitIndex0) | v143(constB137))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB137, bitIndex2) | (~v88(constB137, bitIndex1)) | v88(constB137, bitIndex0) | v143(constB137))),
% 49.84/32.96 inference(rewrite,[status(thm)],[])).
% 49.84/32.96 tff(25425,plain,
% 49.84/32.96 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB137, bitIndex2) | (~v88(constB137, bitIndex1)) | v88(constB137, bitIndex0) | v143(constB137))),
% 49.84/32.96 inference(quant_inst,[status(thm)],[])).
% 49.84/32.96 tff(25426,plain,
% 49.84/32.96 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB137, bitIndex2) | (~v88(constB137, bitIndex1)) | v88(constB137, bitIndex0) | v143(constB137)),
% 49.84/32.96 inference(modus_ponens,[status(thm)],[25425, 25424])).
% 49.84/32.96 tff(25427,plain,
% 49.84/32.96 ((~v88(constB137, bitIndex1)) | v88(constB137, bitIndex0) | v143(constB137)),
% 49.84/32.96 inference(unit_resolution,[status(thm)],[25426, 10523, 25423])).
% 49.84/32.96 tff(25428,plain,
% 49.84/32.96 ($false),
% 49.84/32.96 inference(unit_resolution,[status(thm)],[25427, 25418, 25405, 25380])).
% 49.84/32.96 tff(25429,plain,(v90(constB136, bitIndex0) | v143(constB137) | v119(constB136) | v90(constB136, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 49.84/32.96 tff(25430,plain,
% 49.84/32.96 (v90(constB136, bitIndex0)),
% 49.84/32.96 inference(unit_resolution,[status(thm)],[25429, 25385, 25380, 25362])).
% 49.84/32.96 tff(25431,plain,
% 49.84/32.96 (v90(constB137, bitIndex0)),
% 49.84/32.96 inference(unit_resolution,[status(thm)],[19356, 25430])).
% 49.84/32.96 tff(25432,plain,
% 49.84/32.96 (v88(constB137, bitIndex0)),
% 49.84/32.96 inference(unit_resolution,[status(thm)],[25312, 8662, 25431])).
% 49.84/32.96 tff(25433,plain,
% 49.84/32.96 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB136)) | v130(constB136, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB136)) | v130(constB136, bitIndex2))),
% 49.84/32.96 inference(rewrite,[status(thm)],[])).
% 49.84/32.96 tff(25434,plain,
% 49.84/32.96 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB136)) | v130(constB136, bitIndex2))),
% 49.84/32.96 inference(quant_inst,[status(thm)],[])).
% 49.84/32.96 tff(25435,plain,
% 49.84/32.96 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB136)) | v130(constB136, bitIndex2)),
% 49.84/32.96 inference(modus_ponens,[status(thm)],[25434, 25433])).
% 49.84/32.96 tff(25436,plain,
% 49.84/32.96 (~v122(constB136)),
% 49.84/32.96 inference(unit_resolution,[status(thm)],[25435, 1876, 25381])).
% 49.84/32.96 tff(25437,plain,
% 49.84/32.96 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB136, bitIndex0)) | (~v90(constB136, bitIndex1)) | v90(constB136, bitIndex2) | v122(constB136))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB136, bitIndex0)) | (~v90(constB136, bitIndex1)) | v90(constB136, bitIndex2) | v122(constB136))),
% 49.84/32.96 inference(rewrite,[status(thm)],[])).
% 49.84/32.96 tff(25438,plain,
% 49.84/32.96 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB136, bitIndex0)) | (~v90(constB136, bitIndex1)) | v90(constB136, bitIndex2) | v122(constB136))),
% 49.84/32.97 inference(quant_inst,[status(thm)],[])).
% 49.84/32.97 tff(25439,plain,
% 49.84/32.97 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB136, bitIndex0)) | (~v90(constB136, bitIndex1)) | v90(constB136, bitIndex2) | v122(constB136)),
% 49.84/32.97 inference(modus_ponens,[status(thm)],[25438, 25437])).
% 49.84/32.97 tff(25440,plain,
% 49.84/32.97 ((~v90(constB136, bitIndex0)) | (~v90(constB136, bitIndex1)) | v122(constB136)),
% 49.84/32.97 inference(unit_resolution,[status(thm)],[25439, 1789, 25362])).
% 49.84/32.97 tff(25441,plain,
% 49.84/32.97 (~v90(constB136, bitIndex1)),
% 49.84/32.97 inference(unit_resolution,[status(thm)],[25440, 25430, 25436])).
% 49.84/32.97 tff(25442,plain,
% 49.84/32.97 (~v90(constB137, bitIndex1)),
% 49.84/32.97 inference(unit_resolution,[status(thm)],[19322, 25441])).
% 49.84/32.97 tff(25443,plain,
% 49.84/32.97 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB137, bitIndex1) | (~v88(constB137, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB137, bitIndex1) | (~v88(constB137, bitIndex1)))),
% 49.84/32.97 inference(rewrite,[status(thm)],[])).
% 49.84/32.97 tff(25444,plain,
% 49.84/32.97 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB137, bitIndex1) | (~v88(constB137, bitIndex1)))),
% 49.84/32.97 inference(quant_inst,[status(thm)],[])).
% 49.84/32.97 tff(25445,plain,
% 49.84/32.97 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB137, bitIndex1) | (~v88(constB137, bitIndex1))),
% 49.84/32.97 inference(modus_ponens,[status(thm)],[25444, 25443])).
% 49.84/32.97 tff(25446,plain,
% 49.84/32.97 (~v88(constB137, bitIndex1)),
% 49.84/32.97 inference(unit_resolution,[status(thm)],[25445, 10126, 25442])).
% 49.84/32.97 tff(25447,plain,
% 49.84/32.97 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB137, bitIndex2) | v88(constB137, bitIndex1) | (~v88(constB137, bitIndex0)) | v140(constB137))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB137, bitIndex2) | v88(constB137, bitIndex1) | (~v88(constB137, bitIndex0)) | v140(constB137))),
% 49.84/32.97 inference(rewrite,[status(thm)],[])).
% 49.84/32.97 tff(25448,plain,
% 49.84/32.97 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB137, bitIndex2) | v88(constB137, bitIndex1) | (~v88(constB137, bitIndex0)) | v140(constB137))),
% 49.84/32.97 inference(quant_inst,[status(thm)],[])).
% 49.84/32.97 tff(25449,plain,
% 49.84/32.97 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB137, bitIndex2) | v88(constB137, bitIndex1) | (~v88(constB137, bitIndex0)) | v140(constB137)),
% 49.84/32.97 inference(modus_ponens,[status(thm)],[25448, 25447])).
% 49.84/32.97 tff(25450,plain,
% 49.84/32.97 (v88(constB137, bitIndex1) | (~v88(constB137, bitIndex0)) | v140(constB137)),
% 49.84/32.97 inference(unit_resolution,[status(thm)],[25449, 10178, 25423])).
% 49.84/32.97 tff(25451,plain,
% 49.84/32.97 ($false),
% 49.84/32.97 inference(unit_resolution,[status(thm)],[25450, 25446, 25432, 25379])).
% 49.84/32.97 tff(25452,plain,(v130(constB136, bitIndex2) | v140(constB137) | v90(constB136, bitIndex2) | v143(constB137)), inference(lemma,lemma(discharge,[]))).
% 49.84/32.97 tff(25453,plain,
% 49.84/32.97 (v130(constB136, bitIndex2)),
% 49.84/32.97 inference(unit_resolution,[status(thm)],[25452, 25378, 25362, 25370])).
% 49.84/32.97 tff(25454,plain,
% 49.84/32.97 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB136)) | (~v130(constB136, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB136)) | (~v130(constB136, bitIndex2)))),
% 49.84/32.97 inference(rewrite,[status(thm)],[])).
% 49.84/32.97 tff(25455,plain,
% 49.84/32.97 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB136)) | (~v130(constB136, bitIndex2)))),
% 49.84/32.97 inference(quant_inst,[status(thm)],[])).
% 49.84/32.97 tff(25456,plain,
% 49.84/32.97 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB136)) | (~v130(constB136, bitIndex2))),
% 49.84/32.97 inference(modus_ponens,[status(thm)],[25455, 25454])).
% 49.84/32.97 tff(25457,plain,
% 49.84/32.97 (~v121(constB136)),
% 49.84/32.97 inference(unit_resolution,[status(thm)],[25456, 1645, 25453])).
% 49.84/32.97 tff(25458,plain,
% 49.84/32.97 (^[VarCurr: $i] : refl((v200(VarCurr) | (~v139(VarCurr))) <=> (v200(VarCurr) | (~v139(VarCurr))))),
% 49.84/32.97 inference(bind,[status(th)],[])).
% 49.84/32.97 tff(25459,plain,
% 49.84/32.97 (![VarCurr: $i] : (v200(VarCurr) | (~v139(VarCurr))) <=> ![VarCurr: $i] : (v200(VarCurr) | (~v139(VarCurr)))),
% 49.84/32.97 inference(quant_intro,[status(thm)],[25458])).
% 49.84/32.97 tff(25460,plain,
% 49.84/32.97 (![VarCurr: $i] : (v200(VarCurr) | (~v139(VarCurr))) <=> ![VarCurr: $i] : (v200(VarCurr) | (~v139(VarCurr)))),
% 49.84/32.97 inference(rewrite,[status(thm)],[])).
% 49.84/32.97 tff(25461,axiom,(![VarCurr: $i] : (v200(VarCurr) | (~v139(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_48_1_2')).
% 49.84/32.97 tff(25462,plain,
% 49.84/32.97 (![VarCurr: $i] : (v200(VarCurr) | (~v139(VarCurr)))),
% 49.84/32.97 inference(modus_ponens,[status(thm)],[25461, 25460])).
% 49.84/32.97 tff(25463,plain,(
% 49.84/32.97 ![VarCurr: $i] : (v200(VarCurr) | (~v139(VarCurr)))),
% 49.84/32.97 inference(skolemize,[status(sab)],[25462])).
% 49.84/32.97 tff(25464,plain,
% 49.84/32.97 (![VarCurr: $i] : (v200(VarCurr) | (~v139(VarCurr)))),
% 49.84/32.97 inference(modus_ponens,[status(thm)],[25463, 25459])).
% 49.84/32.97 tff(25465,plain,
% 49.84/32.97 (((~![VarCurr: $i] : (v200(VarCurr) | (~v139(VarCurr)))) | (v200(constB137) | (~v139(constB137)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v139(VarCurr)))) | v200(constB137) | (~v139(constB137)))),
% 49.84/32.97 inference(rewrite,[status(thm)],[])).
% 49.84/32.97 tff(25466,plain,
% 49.84/32.97 ((~![VarCurr: $i] : (v200(VarCurr) | (~v139(VarCurr)))) | (v200(constB137) | (~v139(constB137)))),
% 49.84/32.97 inference(quant_inst,[status(thm)],[])).
% 49.84/32.97 tff(25467,plain,
% 49.84/32.97 ((~![VarCurr: $i] : (v200(VarCurr) | (~v139(VarCurr)))) | v200(constB137) | (~v139(constB137))),
% 49.84/32.97 inference(modus_ponens,[status(thm)],[25466, 25465])).
% 49.84/32.97 tff(25468,plain,
% 49.84/32.97 (~v139(constB137)),
% 49.84/32.97 inference(unit_resolution,[status(thm)],[25467, 25464, 25374])).
% 49.84/32.97 tff(25469,assumption,(~v139(constB137)), introduced(assumption)).
% 49.84/32.97 tff(25470,assumption,(~v121(constB136)), introduced(assumption)).
% 49.84/32.97 tff(25471,plain,
% 49.84/32.97 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB136, bitIndex0) | (~v90(constB136, bitIndex1)) | v90(constB136, bitIndex2) | v121(constB136))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB136, bitIndex0) | (~v90(constB136, bitIndex1)) | v90(constB136, bitIndex2) | v121(constB136))),
% 49.84/32.97 inference(rewrite,[status(thm)],[])).
% 49.84/32.97 tff(25472,plain,
% 49.84/32.97 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB136, bitIndex0) | (~v90(constB136, bitIndex1)) | v90(constB136, bitIndex2) | v121(constB136))),
% 49.84/32.97 inference(quant_inst,[status(thm)],[])).
% 49.84/32.97 tff(25473,plain,
% 49.84/32.97 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB136, bitIndex0) | (~v90(constB136, bitIndex1)) | v90(constB136, bitIndex2) | v121(constB136)),
% 49.84/32.97 inference(modus_ponens,[status(thm)],[25472, 25471])).
% 49.84/32.97 tff(25474,plain,
% 49.84/32.97 (v90(constB136, bitIndex0) | (~v90(constB136, bitIndex1)) | v121(constB136)),
% 49.84/32.97 inference(unit_resolution,[status(thm)],[25473, 1551, 25362])).
% 49.84/32.97 tff(25475,plain,
% 49.84/32.97 (~v90(constB136, bitIndex1)),
% 49.84/32.97 inference(unit_resolution,[status(thm)],[25474, 25387, 25470])).
% 49.84/32.97 tff(25476,plain,
% 49.84/32.97 (~v90(constB137, bitIndex1)),
% 49.84/32.97 inference(unit_resolution,[status(thm)],[19322, 25475])).
% 49.84/32.97 tff(25477,plain,
% 49.84/32.97 (~v88(constB137, bitIndex1)),
% 49.84/32.97 inference(unit_resolution,[status(thm)],[25445, 10126, 25476])).
% 49.84/32.97 tff(25478,plain,
% 49.84/32.97 (^[VarCurr: $i] : refl((v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr)) <=> (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr)))),
% 49.84/32.97 inference(bind,[status(th)],[])).
% 49.84/32.97 tff(25479,plain,
% 49.84/32.97 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr)) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))),
% 49.84/32.97 inference(quant_intro,[status(thm)],[25478])).
% 49.84/32.97 tff(25480,plain,
% 49.84/32.97 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr)) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))),
% 49.84/32.97 inference(rewrite,[status(thm)],[])).
% 49.84/32.97 tff(25481,plain,
% 49.84/32.97 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v139(VarCurr) | v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1)) <=> (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v139(VarCurr))), ((((v139(VarCurr) | v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0)) <=> ((v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v139(VarCurr)) | v88(VarCurr, bitIndex0)))), rewrite(((v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v139(VarCurr)) | v88(VarCurr, bitIndex0)) <=> (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))), ((((v139(VarCurr) | v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0)) <=> (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))))),
% 49.84/32.97 inference(bind,[status(th)],[])).
% 49.84/32.97 tff(25482,plain,
% 49.84/32.97 (![VarCurr: $i] : (((v139(VarCurr) | v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))),
% 49.84/32.97 inference(quant_intro,[status(thm)],[25481])).
% 49.84/32.97 tff(25483,axiom,(![VarCurr: $i] : (((v139(VarCurr) | v88(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_1')).
% 49.84/32.97 tff(25484,plain,
% 49.84/32.97 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))),
% 49.84/32.97 inference(modus_ponens,[status(thm)],[25483, 25482])).
% 49.84/32.97 tff(25485,plain,
% 49.84/32.97 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))),
% 49.84/32.97 inference(modus_ponens,[status(thm)],[25484, 25480])).
% 49.84/32.97 tff(25486,plain,(
% 49.84/32.97 ![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))),
% 49.84/32.97 inference(skolemize,[status(sab)],[25485])).
% 49.84/32.97 tff(25487,plain,
% 49.84/32.97 (![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))),
% 49.84/32.97 inference(modus_ponens,[status(thm)],[25486, 25479])).
% 49.84/32.97 tff(25488,plain,
% 49.84/32.97 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))) | (v88(constB137, bitIndex2) | v88(constB137, bitIndex1) | v88(constB137, bitIndex0) | v139(constB137))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))) | v88(constB137, bitIndex2) | v88(constB137, bitIndex1) | v88(constB137, bitIndex0) | v139(constB137))),
% 49.84/32.97 inference(rewrite,[status(thm)],[])).
% 49.84/32.97 tff(25489,plain,
% 49.84/32.97 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))) | (v88(constB137, bitIndex2) | v88(constB137, bitIndex1) | v88(constB137, bitIndex0) | v139(constB137))),
% 49.84/32.97 inference(quant_inst,[status(thm)],[])).
% 49.84/32.97 tff(25490,plain,
% 49.84/32.97 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | v88(VarCurr, bitIndex0) | v139(VarCurr))) | v88(constB137, bitIndex2) | v88(constB137, bitIndex1) | v88(constB137, bitIndex0) | v139(constB137)),
% 49.84/32.97 inference(modus_ponens,[status(thm)],[25489, 25488])).
% 49.84/32.97 tff(25491,plain,
% 49.84/32.97 (v88(constB137, bitIndex1) | v88(constB137, bitIndex0) | v139(constB137)),
% 49.84/32.97 inference(unit_resolution,[status(thm)],[25490, 25487, 25423])).
% 49.84/32.97 tff(25492,plain,
% 49.84/32.97 ($false),
% 49.84/32.97 inference(unit_resolution,[status(thm)],[25491, 25477, 25418, 25469])).
% 49.84/32.97 tff(25493,plain,(v90(constB136, bitIndex0) | v139(constB137) | v121(constB136) | v90(constB136, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 49.84/32.97 tff(25494,plain,
% 49.84/32.97 (v90(constB136, bitIndex0)),
% 49.84/32.97 inference(unit_resolution,[status(thm)],[25493, 25468, 25457, 25362])).
% 49.84/32.97 tff(25495,plain,
% 49.84/32.97 (v90(constB137, bitIndex0)),
% 49.84/32.97 inference(unit_resolution,[status(thm)],[19356, 25494])).
% 49.84/32.97 tff(25496,plain,
% 49.84/32.97 (v88(constB137, bitIndex0)),
% 49.84/32.97 inference(unit_resolution,[status(thm)],[25312, 8662, 25495])).
% 49.84/32.97 tff(25497,plain,
% 49.84/32.97 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB136)) | (~v130(constB136, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB136)) | (~v130(constB136, bitIndex2)))),
% 49.84/32.97 inference(rewrite,[status(thm)],[])).
% 49.84/32.97 tff(25498,plain,
% 49.84/32.97 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB136)) | (~v130(constB136, bitIndex2)))),
% 49.84/32.97 inference(quant_inst,[status(thm)],[])).
% 49.84/32.97 tff(25499,plain,
% 49.84/32.97 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB136)) | (~v130(constB136, bitIndex2))),
% 49.84/32.97 inference(modus_ponens,[status(thm)],[25498, 25497])).
% 49.84/32.97 tff(25500,plain,
% 49.84/32.97 (~v120(constB136)),
% 49.84/32.97 inference(unit_resolution,[status(thm)],[25499, 1383, 25453])).
% 49.84/32.97 tff(25501,plain,
% 49.84/32.97 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB136, bitIndex0)) | v90(constB136, bitIndex1) | v90(constB136, bitIndex2) | v120(constB136))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB136, bitIndex0)) | v90(constB136, bitIndex1) | v90(constB136, bitIndex2) | v120(constB136))),
% 49.84/32.97 inference(rewrite,[status(thm)],[])).
% 49.84/32.97 tff(25502,plain,
% 49.84/32.97 (((~v90(constB136, bitIndex0)) | v120(constB136) | v90(constB136, bitIndex1) | v90(constB136, bitIndex2)) <=> ((~v90(constB136, bitIndex0)) | v90(constB136, bitIndex1) | v90(constB136, bitIndex2) | v120(constB136))),
% 49.84/32.97 inference(rewrite,[status(thm)],[])).
% 49.84/32.97 tff(25503,plain,
% 49.84/32.97 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB136, bitIndex0)) | v120(constB136) | v90(constB136, bitIndex1) | v90(constB136, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB136, bitIndex0)) | v90(constB136, bitIndex1) | v90(constB136, bitIndex2) | v120(constB136)))),
% 49.84/32.97 inference(monotonicity,[status(thm)],[25502])).
% 49.84/32.97 tff(25504,plain,
% 49.84/32.97 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB136, bitIndex0)) | v120(constB136) | v90(constB136, bitIndex1) | v90(constB136, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB136, bitIndex0)) | v90(constB136, bitIndex1) | v90(constB136, bitIndex2) | v120(constB136))),
% 49.84/32.97 inference(transitivity,[status(thm)],[25503, 25501])).
% 49.84/32.97 tff(25505,plain,
% 49.84/32.97 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB136, bitIndex0)) | v120(constB136) | v90(constB136, bitIndex1) | v90(constB136, bitIndex2))),
% 49.84/32.97 inference(quant_inst,[status(thm)],[])).
% 49.84/32.97 tff(25506,plain,
% 49.84/32.97 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB136, bitIndex0)) | v90(constB136, bitIndex1) | v90(constB136, bitIndex2) | v120(constB136)),
% 49.84/32.97 inference(modus_ponens,[status(thm)],[25505, 25504])).
% 49.84/32.97 tff(25507,plain,
% 49.84/32.97 ((~v90(constB136, bitIndex0)) | v90(constB136, bitIndex1) | v120(constB136)),
% 49.84/32.97 inference(unit_resolution,[status(thm)],[25506, 1285, 25362])).
% 49.84/32.97 tff(25508,plain,
% 49.84/32.97 (v90(constB136, bitIndex1)),
% 49.84/32.97 inference(unit_resolution,[status(thm)],[25507, 25494, 25500])).
% 49.84/32.97 tff(25509,plain,
% 49.84/32.97 (v90(constB137, bitIndex1)),
% 49.84/32.97 inference(unit_resolution,[status(thm)],[25400, 25508])).
% 49.84/32.97 tff(25510,plain,
% 49.84/32.97 (v88(constB137, bitIndex1)),
% 49.84/32.97 inference(unit_resolution,[status(thm)],[25404, 8707, 25509])).
% 49.84/32.97 tff(25511,plain,
% 49.84/32.97 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB137, bitIndex2) | (~v88(constB137, bitIndex1)) | (~v88(constB137, bitIndex0)) | v141(constB137))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB137, bitIndex2) | (~v88(constB137, bitIndex1)) | (~v88(constB137, bitIndex0)) | v141(constB137))),
% 49.84/32.97 inference(rewrite,[status(thm)],[])).
% 49.84/32.97 tff(25512,plain,
% 49.84/32.97 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB137, bitIndex2) | (~v88(constB137, bitIndex1)) | (~v88(constB137, bitIndex0)) | v141(constB137))),
% 49.84/32.97 inference(quant_inst,[status(thm)],[])).
% 49.84/32.97 tff(25513,plain,
% 49.84/32.97 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB137, bitIndex2) | (~v88(constB137, bitIndex1)) | (~v88(constB137, bitIndex0)) | v141(constB137)),
% 49.84/32.97 inference(modus_ponens,[status(thm)],[25512, 25511])).
% 49.84/32.97 tff(25514,plain,
% 49.84/32.97 ((~v88(constB137, bitIndex1)) | (~v88(constB137, bitIndex0)) | v141(constB137)),
% 49.84/32.97 inference(unit_resolution,[status(thm)],[25513, 8783, 25423])).
% 49.84/32.97 tff(25515,plain,
% 49.84/32.97 ($false),
% 49.84/32.97 inference(unit_resolution,[status(thm)],[25514, 25510, 25496, 25361])).
% 49.84/32.97 tff(25516,plain,(v198(constB137) | v90(constB136, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 49.84/32.97 tff(25517,plain,
% 49.84/32.97 (v198(constB137)),
% 49.84/32.97 inference(unit_resolution,[status(thm)],[25516, 19259])).
% 49.84/32.97 tff(25518,plain,
% 49.84/32.97 (^[VarCurr: $i] : refl((v142(VarCurr) | v199(VarCurr) | (~v198(VarCurr))) <=> (v142(VarCurr) | v199(VarCurr) | (~v198(VarCurr))))),
% 49.84/32.97 inference(bind,[status(th)],[])).
% 49.84/32.97 tff(25519,plain,
% 49.84/32.97 (![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v198(VarCurr))) <=> ![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v198(VarCurr)))),
% 49.84/32.97 inference(quant_intro,[status(thm)],[25518])).
% 49.84/32.97 tff(25520,plain,
% 49.84/32.97 (![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v198(VarCurr))) <=> ![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v198(VarCurr)))),
% 49.84/32.97 inference(rewrite,[status(thm)],[])).
% 49.84/32.97 tff(25521,plain,
% 49.84/32.97 (^[VarCurr: $i] : trans(monotonicity(rewrite((v199(VarCurr) | v142(VarCurr)) <=> (v142(VarCurr) | v199(VarCurr))), (((v199(VarCurr) | v142(VarCurr)) | (~v198(VarCurr))) <=> ((v142(VarCurr) | v199(VarCurr)) | (~v198(VarCurr))))), rewrite(((v142(VarCurr) | v199(VarCurr)) | (~v198(VarCurr))) <=> (v142(VarCurr) | v199(VarCurr) | (~v198(VarCurr)))), (((v199(VarCurr) | v142(VarCurr)) | (~v198(VarCurr))) <=> (v142(VarCurr) | v199(VarCurr) | (~v198(VarCurr)))))),
% 49.84/32.97 inference(bind,[status(th)],[])).
% 49.84/32.97 tff(25522,plain,
% 49.84/32.97 (![VarCurr: $i] : ((v199(VarCurr) | v142(VarCurr)) | (~v198(VarCurr))) <=> ![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v198(VarCurr)))),
% 49.84/32.97 inference(quant_intro,[status(thm)],[25521])).
% 49.84/32.97 tff(25523,axiom,(![VarCurr: $i] : ((v199(VarCurr) | v142(VarCurr)) | (~v198(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_50_1_1_3')).
% 49.84/32.97 tff(25524,plain,
% 49.84/32.97 (![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v198(VarCurr)))),
% 49.84/32.97 inference(modus_ponens,[status(thm)],[25523, 25522])).
% 49.84/32.97 tff(25525,plain,
% 49.84/32.97 (![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v198(VarCurr)))),
% 49.84/32.97 inference(modus_ponens,[status(thm)],[25524, 25520])).
% 49.84/32.97 tff(25526,plain,(
% 49.84/32.97 ![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v198(VarCurr)))),
% 49.84/32.97 inference(skolemize,[status(sab)],[25525])).
% 49.84/32.97 tff(25527,plain,
% 49.84/32.97 (![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v198(VarCurr)))),
% 49.84/32.97 inference(modus_ponens,[status(thm)],[25526, 25519])).
% 49.84/32.97 tff(25528,plain,
% 49.84/32.97 (((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v198(VarCurr)))) | (v142(constB137) | v199(constB137) | (~v198(constB137)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v198(VarCurr)))) | v142(constB137) | v199(constB137) | (~v198(constB137)))),
% 49.84/32.97 inference(rewrite,[status(thm)],[])).
% 49.84/32.97 tff(25529,plain,
% 49.84/32.97 ((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v198(VarCurr)))) | (v142(constB137) | v199(constB137) | (~v198(constB137)))),
% 49.84/32.97 inference(quant_inst,[status(thm)],[])).
% 49.84/32.97 tff(25530,plain,
% 49.84/32.97 ((~![VarCurr: $i] : (v142(VarCurr) | v199(VarCurr) | (~v198(VarCurr)))) | v142(constB137) | v199(constB137) | (~v198(constB137))),
% 49.84/32.97 inference(modus_ponens,[status(thm)],[25529, 25528])).
% 49.84/32.97 tff(25531,plain,
% 49.84/32.97 (v199(constB137)),
% 49.84/32.97 inference(unit_resolution,[status(thm)],[25530, 25527, 25517, 25352])).
% 49.84/32.97 tff(25532,plain,
% 49.84/32.97 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB137)) | (~v199(constB137)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB137)) | (~v199(constB137)))),
% 49.84/32.97 inference(rewrite,[status(thm)],[])).
% 49.84/32.97 tff(25533,plain,
% 49.84/32.97 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB137)) | (~v199(constB137)))),
% 49.84/32.97 inference(quant_inst,[status(thm)],[])).
% 49.84/32.97 tff(25534,plain,
% 49.84/32.97 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB137)) | (~v199(constB137))),
% 49.84/32.97 inference(modus_ponens,[status(thm)],[25533, 25532])).
% 49.84/32.97 tff(25535,plain,
% 49.84/32.97 (~v183(constB137)),
% 49.84/32.97 inference(unit_resolution,[status(thm)],[25534, 8873, 25531])).
% 49.84/32.97 tff(25536,plain,
% 49.84/32.97 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB137) | (~v198(constB137)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB137) | (~v198(constB137)))),
% 49.84/32.97 inference(rewrite,[status(thm)],[])).
% 49.84/32.97 tff(25537,plain,
% 49.84/32.97 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB137) | (~v198(constB137)))),
% 49.84/32.97 inference(quant_inst,[status(thm)],[])).
% 49.84/32.97 tff(25538,plain,
% 49.84/32.97 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB137) | (~v198(constB137))),
% 49.84/32.97 inference(modus_ponens,[status(thm)],[25537, 25536])).
% 49.84/32.97 tff(25539,plain,
% 49.84/32.97 (v197(constB137)),
% 49.84/32.97 inference(unit_resolution,[status(thm)],[25538, 8834, 25517])).
% 49.84/32.97 tff(25540,plain,
% 49.84/32.97 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB137) | (~v197(constB137)) | v183(constB137))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB137) | (~v197(constB137)) | v183(constB137))),
% 49.84/32.97 inference(rewrite,[status(thm)],[])).
% 49.84/32.97 tff(25541,plain,
% 49.84/32.97 (((~v197(constB137)) | v183(constB137) | v228(constB137)) <=> (v228(constB137) | (~v197(constB137)) | v183(constB137))),
% 49.84/32.97 inference(rewrite,[status(thm)],[])).
% 49.84/32.97 tff(25542,plain,
% 49.84/32.97 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB137)) | v183(constB137) | v228(constB137))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB137) | (~v197(constB137)) | v183(constB137)))),
% 49.84/32.97 inference(monotonicity,[status(thm)],[25541])).
% 49.84/32.97 tff(25543,plain,
% 49.84/32.97 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB137)) | v183(constB137) | v228(constB137))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB137) | (~v197(constB137)) | v183(constB137))),
% 49.84/32.97 inference(transitivity,[status(thm)],[25542, 25540])).
% 49.84/32.97 tff(25544,plain,
% 49.84/32.97 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB137)) | v183(constB137) | v228(constB137))),
% 49.84/32.97 inference(quant_inst,[status(thm)],[])).
% 49.84/32.97 tff(25545,plain,
% 49.84/32.97 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB137) | (~v197(constB137)) | v183(constB137)),
% 49.84/32.97 inference(modus_ponens,[status(thm)],[25544, 25543])).
% 49.84/32.97 tff(25546,plain,
% 49.84/32.97 (v228(constB137)),
% 49.84/32.97 inference(unit_resolution,[status(thm)],[25545, 8887, 25539, 25535])).
% 49.84/32.97 tff(25547,plain,
% 49.84/32.97 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB137)) | (~v223(constB137, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB137)) | (~v223(constB137, bitIndex1)))),
% 49.84/32.97 inference(rewrite,[status(thm)],[])).
% 49.84/32.97 tff(25548,plain,
% 49.84/32.97 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB137)) | (~v223(constB137, bitIndex1)))),
% 49.84/32.97 inference(quant_inst,[status(thm)],[])).
% 49.84/32.97 tff(25549,plain,
% 49.84/32.97 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB137)) | (~v223(constB137, bitIndex1))),
% 49.84/32.97 inference(modus_ponens,[status(thm)],[25548, 25547])).
% 49.84/32.97 tff(25550,plain,
% 49.84/32.97 (~v223(constB137, bitIndex1)),
% 49.84/32.97 inference(unit_resolution,[status(thm)],[25549, 8901, 25546])).
% 49.84/32.97 tff(25551,plain,
% 49.84/32.97 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB137)) | (~v201(constB137)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB137)) | (~v201(constB137)))),
% 49.84/32.97 inference(rewrite,[status(thm)],[])).
% 49.84/32.97 tff(25552,plain,
% 49.84/32.97 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB137)) | (~v201(constB137)))),
% 49.84/32.97 inference(quant_inst,[status(thm)],[])).
% 49.84/32.97 tff(25553,plain,
% 49.84/32.97 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB137)) | (~v201(constB137))),
% 49.84/32.97 inference(modus_ponens,[status(thm)],[25552, 25551])).
% 49.84/32.97 tff(25554,plain,
% 49.84/32.97 (~v201(constB137)),
% 49.84/32.97 inference(unit_resolution,[status(thm)],[25553, 8823, 25517])).
% 49.84/32.97 tff(25555,plain,
% 49.84/32.97 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB137) | (~v197(constB137)) | v201(constB137))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB137) | (~v197(constB137)) | v201(constB137))),
% 49.84/32.97 inference(rewrite,[status(thm)],[])).
% 49.84/32.97 tff(25556,plain,
% 49.84/32.97 (((~v197(constB137)) | v201(constB137) | v227(constB137)) <=> (v227(constB137) | (~v197(constB137)) | v201(constB137))),
% 49.84/32.97 inference(rewrite,[status(thm)],[])).
% 49.84/32.97 tff(25557,plain,
% 49.84/32.97 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB137)) | v201(constB137) | v227(constB137))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB137) | (~v197(constB137)) | v201(constB137)))),
% 49.84/32.97 inference(monotonicity,[status(thm)],[25556])).
% 49.84/32.97 tff(25558,plain,
% 49.84/32.97 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB137)) | v201(constB137) | v227(constB137))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB137) | (~v197(constB137)) | v201(constB137))),
% 49.84/32.97 inference(transitivity,[status(thm)],[25557, 25555])).
% 49.84/32.97 tff(25559,plain,
% 49.84/32.97 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB137)) | v201(constB137) | v227(constB137))),
% 49.84/32.97 inference(quant_inst,[status(thm)],[])).
% 49.84/32.97 tff(25560,plain,
% 49.84/32.97 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB137) | (~v197(constB137)) | v201(constB137)),
% 49.84/32.97 inference(modus_ponens,[status(thm)],[25559, 25558])).
% 49.84/32.97 tff(25561,plain,
% 49.84/32.97 (v227(constB137)),
% 49.84/32.97 inference(unit_resolution,[status(thm)],[25560, 8848, 25539, 25554])).
% 49.84/32.97 tff(25562,plain,
% 49.84/32.97 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB137)) | (~v223(constB137, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB137)) | (~v223(constB137, bitIndex0)))),
% 49.84/32.97 inference(rewrite,[status(thm)],[])).
% 49.84/32.97 tff(25563,plain,
% 49.84/32.97 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB137)) | (~v223(constB137, bitIndex0)))),
% 49.84/32.97 inference(quant_inst,[status(thm)],[])).
% 49.84/32.97 tff(25564,plain,
% 49.84/32.97 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB137)) | (~v223(constB137, bitIndex0))),
% 49.84/32.97 inference(modus_ponens,[status(thm)],[25563, 25562])).
% 49.84/32.97 tff(25565,plain,
% 49.84/32.97 (~v223(constB137, bitIndex0)),
% 49.84/32.97 inference(unit_resolution,[status(thm)],[25564, 8862, 25561])).
% 49.84/32.97 tff(25566,plain,
% 49.84/32.97 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | ((~v229(constB137)) | v223(constB137, bitIndex0) | v223(constB137, bitIndex1))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (~v229(constB137)) | v223(constB137, bitIndex0) | v223(constB137, bitIndex1))),
% 49.84/32.97 inference(rewrite,[status(thm)],[])).
% 49.84/32.97 tff(25567,plain,
% 49.84/32.97 ((v223(constB137, bitIndex0) | v223(constB137, bitIndex1) | (~v229(constB137))) <=> ((~v229(constB137)) | v223(constB137, bitIndex0) | v223(constB137, bitIndex1))),
% 49.84/32.97 inference(rewrite,[status(thm)],[])).
% 49.84/32.97 tff(25568,plain,
% 49.84/32.97 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB137, bitIndex0) | v223(constB137, bitIndex1) | (~v229(constB137)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | ((~v229(constB137)) | v223(constB137, bitIndex0) | v223(constB137, bitIndex1)))),
% 49.84/32.97 inference(monotonicity,[status(thm)],[25567])).
% 49.84/32.97 tff(25569,plain,
% 49.84/32.97 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB137, bitIndex0) | v223(constB137, bitIndex1) | (~v229(constB137)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (~v229(constB137)) | v223(constB137, bitIndex0) | v223(constB137, bitIndex1))),
% 49.84/32.97 inference(transitivity,[status(thm)],[25568, 25566])).
% 49.84/32.97 tff(25570,plain,
% 49.84/32.97 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB137, bitIndex0) | v223(constB137, bitIndex1) | (~v229(constB137)))),
% 49.84/32.97 inference(quant_inst,[status(thm)],[])).
% 49.84/32.97 tff(25571,plain,
% 49.84/32.97 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (~v229(constB137)) | v223(constB137, bitIndex0) | v223(constB137, bitIndex1)),
% 49.84/32.97 inference(modus_ponens,[status(thm)],[25570, 25569])).
% 49.84/32.97 tff(25572,plain,
% 49.84/32.97 (~v229(constB137)),
% 49.84/32.97 inference(unit_resolution,[status(thm)],[25571, 8915, 25565, 25550])).
% 49.84/32.97 tff(25573,plain,
% 49.84/32.97 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB137) | (~v225(constB137)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB137) | (~v225(constB137)))),
% 49.84/32.97 inference(rewrite,[status(thm)],[])).
% 49.84/32.97 tff(25574,plain,
% 49.84/32.97 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB137) | (~v225(constB137)))),
% 49.84/32.97 inference(quant_inst,[status(thm)],[])).
% 49.84/32.97 tff(25575,plain,
% 49.84/32.97 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB137) | (~v225(constB137))),
% 49.84/32.97 inference(modus_ponens,[status(thm)],[25574, 25573])).
% 49.84/32.97 tff(25576,plain,
% 49.84/32.97 (~v225(constB137)),
% 49.84/32.97 inference(unit_resolution,[status(thm)],[25575, 8929, 25572])).
% 49.84/32.97 tff(25577,plain,
% 49.84/32.97 (~v88(constB137, bitIndex2)),
% 49.84/32.97 inference(unit_resolution,[status(thm)],[25422, 8769, 19286])).
% 49.84/32.97 tff(25578,plain,
% 49.84/32.97 (~v88(constB137, bitIndex1)),
% 49.84/32.97 inference(unit_resolution,[status(thm)],[25445, 10126, 19323])).
% 49.84/32.97 tff(25579,plain,
% 49.84/32.97 (v140(constB137)),
% 49.84/32.97 inference(unit_resolution,[status(thm)],[25449, 10178, 25313, 25578, 25577])).
% 49.84/32.97 tff(25580,plain,
% 49.84/32.97 (v200(constB137)),
% 49.84/32.97 inference(unit_resolution,[status(thm)],[25377, 10192, 25579])).
% 49.84/32.97 tff(25581,plain,
% 49.84/32.97 (((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB137)) | (~v200(constB137)))) <=> ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB137)) | (~v200(constB137)))),
% 49.84/32.97 inference(rewrite,[status(thm)],[])).
% 49.84/32.97 tff(25582,plain,
% 49.84/32.97 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB137)) | (~v200(constB137)))),
% 49.84/32.97 inference(quant_inst,[status(thm)],[])).
% 49.84/32.97 tff(25583,plain,
% 49.84/32.97 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB137)) | (~v200(constB137))),
% 49.84/32.97 inference(modus_ponens,[status(thm)],[25582, 25581])).
% 49.84/32.97 tff(25584,plain,
% 49.84/32.97 (~v166(constB137)),
% 49.84/32.97 inference(unit_resolution,[status(thm)],[25583, 10263, 25580])).
% 49.84/32.97 tff(25585,plain,
% 49.84/32.97 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB137) | (~v197(constB137)) | v166(constB137))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB137) | (~v197(constB137)) | v166(constB137))),
% 49.84/32.97 inference(rewrite,[status(thm)],[])).
% 49.84/32.97 tff(25586,plain,
% 49.84/32.97 (((~v197(constB137)) | v166(constB137) | v241(constB137)) <=> (v241(constB137) | (~v197(constB137)) | v166(constB137))),
% 49.84/32.97 inference(rewrite,[status(thm)],[])).
% 49.84/32.97 tff(25587,plain,
% 49.84/32.97 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB137)) | v166(constB137) | v241(constB137))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB137) | (~v197(constB137)) | v166(constB137)))),
% 49.84/32.97 inference(monotonicity,[status(thm)],[25586])).
% 49.84/32.97 tff(25588,plain,
% 49.84/32.97 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB137)) | v166(constB137) | v241(constB137))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB137) | (~v197(constB137)) | v166(constB137))),
% 49.84/32.97 inference(transitivity,[status(thm)],[25587, 25585])).
% 49.84/32.97 tff(25589,plain,
% 49.84/32.97 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB137)) | v166(constB137) | v241(constB137))),
% 49.84/32.97 inference(quant_inst,[status(thm)],[])).
% 49.84/32.97 tff(25590,plain,
% 49.84/32.97 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB137) | (~v197(constB137)) | v166(constB137)),
% 49.84/32.97 inference(modus_ponens,[status(thm)],[25589, 25588])).
% 49.84/32.97 tff(25591,plain,
% 49.84/32.97 (v241(constB137)),
% 49.84/32.97 inference(unit_resolution,[status(thm)],[25590, 10277, 25539, 25584])).
% 49.84/32.97 tff(25592,plain,
% 49.84/32.97 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB137)) | (~v223(constB137, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB137)) | (~v223(constB137, bitIndex2)))),
% 49.84/32.97 inference(rewrite,[status(thm)],[])).
% 49.84/32.97 tff(25593,plain,
% 49.84/32.97 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB137)) | (~v223(constB137, bitIndex2)))),
% 49.84/32.97 inference(quant_inst,[status(thm)],[])).
% 49.84/32.97 tff(25594,plain,
% 49.84/32.97 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB137)) | (~v223(constB137, bitIndex2))),
% 49.84/32.97 inference(modus_ponens,[status(thm)],[25593, 25592])).
% 49.84/32.97 tff(25595,plain,
% 49.84/32.97 (~v223(constB137, bitIndex2)),
% 49.84/32.97 inference(unit_resolution,[status(thm)],[25594, 10292, 25591])).
% 49.84/32.97 tff(25596,plain,
% 49.84/32.97 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB137) | v223(constB137, bitIndex2) | (~v242(constB137)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v225(constB137) | v223(constB137, bitIndex2) | (~v242(constB137)))),
% 49.84/32.97 inference(rewrite,[status(thm)],[])).
% 49.84/32.97 tff(25597,plain,
% 49.84/32.97 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB137) | v223(constB137, bitIndex2) | (~v242(constB137)))),
% 49.84/32.97 inference(quant_inst,[status(thm)],[])).
% 49.84/32.97 tff(25598,plain,
% 49.84/32.97 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v225(constB137) | v223(constB137, bitIndex2) | (~v242(constB137))),
% 49.84/32.97 inference(modus_ponens,[status(thm)],[25597, 25596])).
% 49.84/32.97 tff(25599,plain,
% 49.84/32.97 (v225(constB137) | (~v242(constB137))),
% 49.84/32.97 inference(unit_resolution,[status(thm)],[25598, 10306, 25595])).
% 49.84/32.97 tff(25600,plain,
% 49.84/32.97 (~v242(constB137)),
% 49.84/32.97 inference(unit_resolution,[status(thm)],[25599, 25576])).
% 49.84/32.97 tff(25601,plain,
% 49.84/32.97 (((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB137) | (~v238(constB137)))) <=> ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB137) | (~v238(constB137)))),
% 49.84/32.97 inference(rewrite,[status(thm)],[])).
% 49.84/32.97 tff(25602,plain,
% 49.84/32.97 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB137) | (~v238(constB137)))),
% 49.84/32.97 inference(quant_inst,[status(thm)],[])).
% 49.84/32.97 tff(25603,plain,
% 49.84/32.97 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB137) | (~v238(constB137))),
% 49.84/32.97 inference(modus_ponens,[status(thm)],[25602, 25601])).
% 49.84/32.97 tff(25604,plain,
% 49.84/32.97 (~v238(constB137)),
% 49.84/32.97 inference(unit_resolution,[status(thm)],[25603, 10318, 25600])).
% 49.84/32.98 tff(25605,plain,
% 49.84/32.98 (((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB137) | (~v237(constB137)))) <=> ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB137) | (~v237(constB137)))),
% 49.84/32.98 inference(rewrite,[status(thm)],[])).
% 49.84/32.98 tff(25606,plain,
% 49.84/32.98 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB137) | (~v237(constB137)))),
% 49.84/32.98 inference(quant_inst,[status(thm)],[])).
% 49.84/32.98 tff(25607,plain,
% 49.84/32.98 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB137) | (~v237(constB137))),
% 49.84/32.98 inference(modus_ponens,[status(thm)],[25606, 25605])).
% 49.84/32.98 tff(25608,plain,
% 49.84/32.98 (~v237(constB137)),
% 49.84/32.98 inference(unit_resolution,[status(thm)],[25607, 10329, 25604])).
% 49.84/32.98 tff(25609,plain,
% 49.84/32.98 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | ((~v222(constB137)) | v223(constB137, bitIndex0))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (~v222(constB137)) | v223(constB137, bitIndex0))),
% 49.84/32.98 inference(rewrite,[status(thm)],[])).
% 49.84/32.98 tff(25610,plain,
% 49.84/32.98 ((v223(constB137, bitIndex0) | (~v222(constB137))) <=> ((~v222(constB137)) | v223(constB137, bitIndex0))),
% 49.84/32.98 inference(rewrite,[status(thm)],[])).
% 49.84/32.98 tff(25611,plain,
% 49.84/32.98 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB137, bitIndex0) | (~v222(constB137)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | ((~v222(constB137)) | v223(constB137, bitIndex0)))),
% 49.84/32.98 inference(monotonicity,[status(thm)],[25610])).
% 49.84/32.98 tff(25612,plain,
% 49.84/32.98 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB137, bitIndex0) | (~v222(constB137)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (~v222(constB137)) | v223(constB137, bitIndex0))),
% 49.84/32.98 inference(transitivity,[status(thm)],[25611, 25609])).
% 49.84/32.98 tff(25613,plain,
% 49.84/32.98 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB137, bitIndex0) | (~v222(constB137)))),
% 49.84/32.98 inference(quant_inst,[status(thm)],[])).
% 49.84/32.98 tff(25614,plain,
% 49.84/32.98 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (~v222(constB137)) | v223(constB137, bitIndex0)),
% 49.84/32.98 inference(modus_ponens,[status(thm)],[25613, 25612])).
% 49.84/32.98 tff(25615,plain,
% 49.84/32.98 (~v222(constB137)),
% 49.84/32.98 inference(unit_resolution,[status(thm)],[25614, 10578, 25565])).
% 49.84/32.98 tff(25616,plain,
% 49.84/32.98 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB137)) | v223(constB137, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB137)) | v223(constB137, bitIndex2))),
% 49.84/32.98 inference(rewrite,[status(thm)],[])).
% 49.84/32.98 tff(25617,plain,
% 49.84/32.98 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB137)) | v223(constB137, bitIndex2))),
% 49.84/32.98 inference(quant_inst,[status(thm)],[])).
% 49.84/32.98 tff(25618,plain,
% 49.84/32.98 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB137)) | v223(constB137, bitIndex2)),
% 49.84/32.98 inference(modus_ponens,[status(thm)],[25617, 25616])).
% 49.84/32.98 tff(25619,plain,
% 49.84/32.98 (~v224(constB137)),
% 49.84/32.98 inference(unit_resolution,[status(thm)],[25618, 10343, 25595])).
% 49.84/32.98 tff(25620,plain,
% 49.84/32.98 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB137) | v224(constB137) | (~v236(constB137)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB137) | v224(constB137) | (~v236(constB137)))),
% 49.84/32.98 inference(rewrite,[status(thm)],[])).
% 49.84/32.98 tff(25621,plain,
% 49.84/32.98 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB137) | v224(constB137) | (~v236(constB137)))),
% 49.84/32.98 inference(quant_inst,[status(thm)],[])).
% 49.84/32.98 tff(25622,plain,
% 49.84/32.98 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB137) | v224(constB137) | (~v236(constB137))),
% 49.84/32.98 inference(modus_ponens,[status(thm)],[25621, 25620])).
% 49.84/32.98 tff(25623,plain,
% 49.84/32.98 (~v236(constB137)),
% 49.84/32.98 inference(unit_resolution,[status(thm)],[25622, 8968, 25619, 25615])).
% 49.84/32.98 tff(25624,plain,
% 49.84/32.98 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB137) | (~v232(constB137)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB137) | (~v232(constB137)))),
% 49.84/32.98 inference(rewrite,[status(thm)],[])).
% 49.84/32.98 tff(25625,plain,
% 49.84/32.98 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB137) | (~v232(constB137)))),
% 49.84/32.98 inference(quant_inst,[status(thm)],[])).
% 49.84/32.98 tff(25626,plain,
% 49.84/32.98 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB137) | (~v232(constB137))),
% 49.84/32.98 inference(modus_ponens,[status(thm)],[25625, 25624])).
% 49.84/32.98 tff(25627,plain,
% 49.84/32.98 (~v232(constB137)),
% 49.84/32.98 inference(unit_resolution,[status(thm)],[25626, 8980, 25623])).
% 49.84/32.98 tff(25628,plain,
% 49.84/32.98 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v232(constB137) | (~v248(constB137)) | v237(constB137))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v232(constB137) | (~v248(constB137)) | v237(constB137))),
% 49.84/32.98 inference(rewrite,[status(thm)],[])).
% 49.84/32.98 tff(25629,plain,
% 49.84/32.98 ((v237(constB137) | v232(constB137) | (~v248(constB137))) <=> (v232(constB137) | (~v248(constB137)) | v237(constB137))),
% 49.84/32.98 inference(rewrite,[status(thm)],[])).
% 49.84/32.98 tff(25630,plain,
% 49.84/32.98 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB137) | v232(constB137) | (~v248(constB137)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v232(constB137) | (~v248(constB137)) | v237(constB137)))),
% 49.84/32.98 inference(monotonicity,[status(thm)],[25629])).
% 49.84/32.98 tff(25631,plain,
% 49.84/32.98 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB137) | v232(constB137) | (~v248(constB137)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v232(constB137) | (~v248(constB137)) | v237(constB137))),
% 49.84/32.98 inference(transitivity,[status(thm)],[25630, 25628])).
% 49.84/32.98 tff(25632,plain,
% 49.84/32.98 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB137) | v232(constB137) | (~v248(constB137)))),
% 49.84/32.98 inference(quant_inst,[status(thm)],[])).
% 49.84/32.98 tff(25633,plain,
% 49.84/32.98 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v232(constB137) | (~v248(constB137)) | v237(constB137)),
% 49.84/32.98 inference(modus_ponens,[status(thm)],[25632, 25631])).
% 49.84/32.98 tff(25634,plain,
% 49.84/32.98 ((~v248(constB137)) | v237(constB137)),
% 49.84/32.98 inference(unit_resolution,[status(thm)],[25633, 9076, 25627])).
% 49.84/32.98 tff(25635,plain,
% 49.84/32.98 (~v248(constB137)),
% 49.84/32.98 inference(unit_resolution,[status(thm)],[25634, 25608])).
% 49.84/32.98 tff(25636,plain,
% 49.84/32.98 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB137) | (~v244(constB137)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB137) | (~v244(constB137)))),
% 49.84/32.98 inference(rewrite,[status(thm)],[])).
% 49.84/32.98 tff(25637,plain,
% 49.84/32.98 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB137) | (~v244(constB137)))),
% 49.84/32.98 inference(quant_inst,[status(thm)],[])).
% 49.84/32.98 tff(25638,plain,
% 49.84/32.98 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB137) | (~v244(constB137))),
% 49.84/32.98 inference(modus_ponens,[status(thm)],[25637, 25636])).
% 49.84/32.98 tff(25639,plain,
% 49.84/32.98 (~v244(constB137)),
% 49.84/32.98 inference(unit_resolution,[status(thm)],[25638, 11335, 25635])).
% 49.84/32.98 tff(25640,plain,
% 49.84/32.98 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB137) | (~v216(constB137, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB137) | (~v216(constB137, bitIndex1)))),
% 49.84/32.98 inference(rewrite,[status(thm)],[])).
% 49.84/32.98 tff(25641,plain,
% 49.84/32.98 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB137) | (~v216(constB137, bitIndex1)))),
% 49.84/32.98 inference(quant_inst,[status(thm)],[])).
% 49.84/32.98 tff(25642,plain,
% 49.84/32.98 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB137) | (~v216(constB137, bitIndex1))),
% 49.84/32.98 inference(modus_ponens,[status(thm)],[25641, 25640])).
% 49.84/32.98 tff(25643,plain,
% 49.84/32.98 (~v216(constB137, bitIndex1)),
% 49.84/32.98 inference(unit_resolution,[status(thm)],[25642, 11346, 25639])).
% 49.84/32.98 tff(25644,plain,
% 49.84/32.98 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB137, bitIndex1) | (~v254(constB137)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB137, bitIndex1) | (~v254(constB137)))),
% 49.84/32.98 inference(rewrite,[status(thm)],[])).
% 49.84/32.98 tff(25645,plain,
% 49.84/32.98 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB137, bitIndex1) | (~v254(constB137)))),
% 49.84/32.98 inference(quant_inst,[status(thm)],[])).
% 49.84/32.98 tff(25646,plain,
% 49.84/32.98 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB137, bitIndex1) | (~v254(constB137))),
% 49.84/32.98 inference(modus_ponens,[status(thm)],[25645, 25644])).
% 49.84/32.98 tff(25647,plain,
% 49.84/32.98 (~v254(constB137)),
% 49.84/32.98 inference(unit_resolution,[status(thm)],[25646, 11357, 25643])).
% 49.84/32.98 tff(25648,plain,
% 49.84/32.98 (((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB137) | (~v231(constB137)))) <=> ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB137) | (~v231(constB137)))),
% 49.84/32.98 inference(rewrite,[status(thm)],[])).
% 49.84/32.98 tff(25649,plain,
% 49.84/32.98 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB137) | (~v231(constB137)))),
% 49.84/32.98 inference(quant_inst,[status(thm)],[])).
% 49.84/32.98 tff(25650,plain,
% 49.84/32.98 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB137) | (~v231(constB137))),
% 49.84/32.98 inference(modus_ponens,[status(thm)],[25649, 25648])).
% 49.84/32.98 tff(25651,plain,
% 49.84/32.98 (~v231(constB137)),
% 49.84/32.98 inference(unit_resolution,[status(thm)],[25650, 24684, 25627])).
% 49.84/32.98 tff(25652,plain,
% 49.84/32.98 (((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB137) | (~v221(constB137)))) <=> ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB137) | (~v221(constB137)))),
% 49.84/32.98 inference(rewrite,[status(thm)],[])).
% 49.84/32.98 tff(25653,plain,
% 49.84/32.98 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB137) | (~v221(constB137)))),
% 49.84/32.98 inference(quant_inst,[status(thm)],[])).
% 49.84/32.98 tff(25654,plain,
% 49.84/32.98 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB137) | (~v221(constB137))),
% 49.84/32.98 inference(modus_ponens,[status(thm)],[25653, 25652])).
% 49.84/32.98 tff(25655,plain,
% 49.84/32.98 (~v221(constB137)),
% 49.84/32.98 inference(unit_resolution,[status(thm)],[25654, 11505, 25619])).
% 49.84/32.98 tff(25656,plain,
% 49.84/32.98 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB137) | v231(constB137) | (~v243(constB137)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB137) | v231(constB137) | (~v243(constB137)))),
% 49.84/32.98 inference(rewrite,[status(thm)],[])).
% 49.84/32.98 tff(25657,plain,
% 49.84/32.98 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB137) | v231(constB137) | (~v243(constB137)))),
% 49.84/32.98 inference(quant_inst,[status(thm)],[])).
% 49.84/32.98 tff(25658,plain,
% 49.84/32.98 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB137) | v231(constB137) | (~v243(constB137))),
% 49.84/32.98 inference(modus_ponens,[status(thm)],[25657, 25656])).
% 49.84/32.98 tff(25659,plain,
% 49.84/32.98 (v231(constB137) | (~v243(constB137))),
% 49.84/32.98 inference(unit_resolution,[status(thm)],[25658, 11206, 25655])).
% 49.84/32.98 tff(25660,plain,
% 49.84/32.98 (~v243(constB137)),
% 49.84/32.98 inference(unit_resolution,[status(thm)],[25659, 25651])).
% 49.84/32.98 tff(25661,plain,
% 49.84/32.98 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB137) | v255(constB137))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB137) | v255(constB137))),
% 49.84/32.98 inference(rewrite,[status(thm)],[])).
% 49.84/32.98 tff(25662,plain,
% 49.84/32.98 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB137) | v255(constB137))),
% 49.84/32.98 inference(quant_inst,[status(thm)],[])).
% 49.84/32.98 tff(25663,plain,
% 49.84/32.98 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB137) | v255(constB137)),
% 49.84/32.98 inference(modus_ponens,[status(thm)],[25662, 25661])).
% 49.84/32.98 tff(25664,plain,
% 49.84/32.98 (v255(constB137)),
% 49.84/32.98 inference(unit_resolution,[status(thm)],[25663, 11222, 25660])).
% 49.84/32.98 tff(25665,plain,
% 49.84/32.98 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB137)) | (~v216(constB137, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB137)) | (~v216(constB137, bitIndex2)))),
% 49.84/32.98 inference(rewrite,[status(thm)],[])).
% 49.84/32.98 tff(25666,plain,
% 49.84/32.98 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB137)) | (~v216(constB137, bitIndex2)))),
% 49.84/32.98 inference(quant_inst,[status(thm)],[])).
% 49.84/32.98 tff(25667,plain,
% 49.84/32.98 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB137)) | (~v216(constB137, bitIndex2))),
% 49.84/32.98 inference(modus_ponens,[status(thm)],[25666, 25665])).
% 49.84/32.98 tff(25668,plain,
% 49.84/32.98 (~v216(constB137, bitIndex2)),
% 49.84/32.98 inference(unit_resolution,[status(thm)],[25667, 11237, 25664])).
% 49.84/32.98 tff(25669,plain,
% 49.84/32.98 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB137, bitIndex2) | v254(constB137) | (~v215(constB137)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB137, bitIndex2) | v254(constB137) | (~v215(constB137)))),
% 49.84/32.98 inference(rewrite,[status(thm)],[])).
% 49.84/32.98 tff(25670,plain,
% 49.84/32.98 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB137, bitIndex2) | v254(constB137) | (~v215(constB137)))),
% 49.84/32.98 inference(quant_inst,[status(thm)],[])).
% 49.84/32.98 tff(25671,plain,
% 49.84/32.98 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB137, bitIndex2) | v254(constB137) | (~v215(constB137))),
% 49.84/32.98 inference(modus_ponens,[status(thm)],[25670, 25669])).
% 49.84/32.98 tff(25672,plain,
% 49.84/32.98 (v254(constB137) | (~v215(constB137))),
% 49.84/32.98 inference(unit_resolution,[status(thm)],[25671, 11278, 25668])).
% 49.84/32.98 tff(25673,plain,
% 49.84/32.98 (~v215(constB137)),
% 49.84/32.98 inference(unit_resolution,[status(thm)],[25672, 25647])).
% 49.84/32.98 tff(25674,plain,
% 49.84/32.98 ($false),
% 49.84/32.98 inference(unit_resolution,[status(thm)],[25673, 25309])).
% 49.84/32.98 tff(25675,plain,(~(constB137 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 49.84/32.98 tff(25676,assumption,(constB47 = sK0_VarCurr), introduced(assumption)).
% 49.84/32.98 tff(25677,plain,
% 49.84/32.98 (v215(constB47) <=> v215(sK0_VarCurr)),
% 49.84/32.98 inference(monotonicity,[status(thm)],[25676])).
% 49.84/32.98 tff(25678,plain,
% 49.84/32.98 (v215(sK0_VarCurr) <=> v215(constB47)),
% 49.84/32.98 inference(symmetry,[status(thm)],[25677])).
% 49.84/32.98 tff(25679,plain,
% 49.84/32.98 (v215(constB47)),
% 49.84/32.98 inference(modus_ponens,[status(thm)],[11268, 25678])).
% 49.84/32.98 tff(25680,plain,
% 49.84/32.98 (v112(constB45) | (~v113(constB45))),
% 49.84/32.98 inference(unit_resolution,[status(thm)],[7190, 224, 7182])).
% 49.84/32.98 tff(25681,plain,
% 49.84/32.98 (v112(constB45)),
% 49.84/32.98 inference(unit_resolution,[status(thm)],[25680, 7171])).
% 49.84/32.98 tff(25682,plain,
% 49.84/32.98 (v108(constB45)),
% 49.84/32.98 inference(unit_resolution,[status(thm)],[7195, 236, 25681])).
% 49.84/32.98 tff(25683,plain,
% 49.84/32.98 (v110(constB46)),
% 49.84/32.98 inference(unit_resolution,[status(thm)],[7206, 25682])).
% 49.84/32.98 tff(25684,plain,
% 49.84/32.98 (v100(constB46)),
% 49.84/32.98 inference(unit_resolution,[status(thm)],[7232, 25683])).
% 49.84/32.98 tff(25685,plain,
% 49.84/32.98 ((~v127(constB45, bitIndex2)) | v130(constB45, bitIndex2)),
% 49.84/32.98 inference(unit_resolution,[status(thm)],[7240, 1210, 7182])).
% 49.84/32.98 tff(25686,plain,
% 49.84/32.98 (~v127(constB45, bitIndex2)),
% 49.84/32.98 inference(unit_resolution,[status(thm)],[25685, 7122])).
% 49.84/32.98 tff(25687,plain,
% 49.84/32.98 (~v129(constB46, bitIndex2)),
% 49.84/32.98 inference(unit_resolution,[status(thm)],[7246, 25686])).
% 49.84/32.98 tff(25688,plain,
% 49.84/32.98 ((~v90(constB46, bitIndex2)) | (~v100(constB46))),
% 49.84/32.98 inference(unit_resolution,[status(thm)],[7253, 1258, 25687])).
% 49.84/32.98 tff(25689,plain,
% 49.84/32.98 (~v90(constB46, bitIndex2)),
% 49.84/32.98 inference(unit_resolution,[status(thm)],[25688, 25684])).
% 49.84/32.98 tff(25690,plain,
% 49.84/32.98 (~v90(constB47, bitIndex2)),
% 49.84/32.98 inference(unit_resolution,[status(thm)],[7281, 25689])).
% 49.84/32.98 tff(25691,plain,
% 49.84/32.98 (((~![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)))),
% 49.84/32.98 inference(rewrite,[status(thm)],[])).
% 49.84/32.98 tff(25692,plain,
% 49.84/32.98 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB47, bitIndex2) | (~v88(constB47, bitIndex2)))),
% 49.84/32.98 inference(quant_inst,[status(thm)],[])).
% 49.84/32.98 tff(25693,plain,
% 49.84/32.98 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB47, bitIndex2) | (~v88(constB47, bitIndex2))),
% 49.93/32.98 inference(modus_ponens,[status(thm)],[25692, 25691])).
% 49.93/32.98 tff(25694,plain,
% 49.93/32.98 (~v88(constB47, bitIndex2)),
% 49.93/32.98 inference(unit_resolution,[status(thm)],[25693, 8769, 25690])).
% 49.93/32.98 tff(25695,plain,
% 49.93/32.98 ((~v127(constB45, bitIndex1)) | v130(constB45, bitIndex1)),
% 49.93/32.98 inference(unit_resolution,[status(thm)],[7317, 450, 7182])).
% 49.93/32.98 tff(25696,plain,
% 49.93/32.98 (~v127(constB45, bitIndex1)),
% 49.93/32.98 inference(unit_resolution,[status(thm)],[25695, 7178])).
% 49.93/32.98 tff(25697,plain,
% 49.93/32.98 (~v129(constB46, bitIndex1)),
% 49.93/32.98 inference(unit_resolution,[status(thm)],[7323, 25696])).
% 49.93/32.98 tff(25698,plain,
% 49.93/32.98 ((~v90(constB46, bitIndex1)) | (~v100(constB46))),
% 49.93/32.98 inference(unit_resolution,[status(thm)],[7330, 483, 25697])).
% 49.93/32.98 tff(25699,plain,
% 49.93/32.98 (~v90(constB46, bitIndex1)),
% 49.93/32.98 inference(unit_resolution,[status(thm)],[25698, 25684])).
% 49.93/32.98 tff(25700,plain,
% 49.93/32.98 (~v90(constB47, bitIndex1)),
% 49.93/32.98 inference(unit_resolution,[status(thm)],[7340, 25699])).
% 49.93/32.98 tff(25701,plain,
% 49.93/32.98 (((~![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)))),
% 49.93/32.98 inference(rewrite,[status(thm)],[])).
% 49.93/32.98 tff(25702,plain,
% 49.93/32.98 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB47, bitIndex1) | (~v88(constB47, bitIndex1)))),
% 49.93/32.98 inference(quant_inst,[status(thm)],[])).
% 49.93/32.98 tff(25703,plain,
% 49.93/32.98 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB47, bitIndex1) | (~v88(constB47, bitIndex1))),
% 49.93/32.98 inference(modus_ponens,[status(thm)],[25702, 25701])).
% 49.93/32.98 tff(25704,plain,
% 49.93/32.98 (~v88(constB47, bitIndex1)),
% 49.93/32.98 inference(unit_resolution,[status(thm)],[25703, 10126, 25700])).
% 49.93/32.98 tff(25705,plain,
% 49.93/32.98 ((~v130(constB45, bitIndex0)) | v127(constB45, bitIndex0)),
% 49.93/32.98 inference(unit_resolution,[status(thm)],[7286, 926, 7182])).
% 49.93/32.98 tff(25706,plain,
% 49.93/32.98 (v127(constB45, bitIndex0)),
% 49.93/32.98 inference(unit_resolution,[status(thm)],[25705, 7129])).
% 49.93/32.98 tff(25707,plain,
% 49.93/32.98 (v129(constB46, bitIndex0)),
% 49.93/32.98 inference(unit_resolution,[status(thm)],[7292, 25706])).
% 49.93/32.98 tff(25708,plain,
% 49.93/32.98 (v90(constB46, bitIndex0) | (~v100(constB46))),
% 49.93/32.98 inference(unit_resolution,[status(thm)],[7299, 1088, 25707])).
% 49.93/32.98 tff(25709,plain,
% 49.93/32.98 (v90(constB46, bitIndex0)),
% 49.93/32.98 inference(unit_resolution,[status(thm)],[25708, 25684])).
% 49.93/32.98 tff(25710,plain,
% 49.93/32.98 (v90(constB47, bitIndex0)),
% 49.93/32.98 inference(unit_resolution,[status(thm)],[7309, 25709])).
% 49.93/32.98 tff(25711,plain,
% 49.93/32.98 (((~![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))),
% 49.93/32.98 inference(rewrite,[status(thm)],[])).
% 49.93/32.98 tff(25712,plain,
% 49.93/32.98 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB47, bitIndex0)) | v88(constB47, bitIndex0))),
% 49.93/32.98 inference(quant_inst,[status(thm)],[])).
% 49.93/32.98 tff(25713,plain,
% 49.93/32.98 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB47, bitIndex0)) | v88(constB47, bitIndex0)),
% 49.93/32.98 inference(modus_ponens,[status(thm)],[25712, 25711])).
% 49.93/32.98 tff(25714,plain,
% 49.93/32.98 (v88(constB47, bitIndex0)),
% 49.93/32.98 inference(unit_resolution,[status(thm)],[25713, 8662, 25710])).
% 49.93/32.98 tff(25715,plain,
% 49.93/32.98 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB47, bitIndex2) | v88(constB47, bitIndex1) | (~v88(constB47, bitIndex0)) | v140(constB47))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB47, bitIndex2) | v88(constB47, bitIndex1) | (~v88(constB47, bitIndex0)) | v140(constB47))),
% 49.93/32.98 inference(rewrite,[status(thm)],[])).
% 49.93/32.98 tff(25716,plain,
% 49.93/32.98 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB47, bitIndex2) | v88(constB47, bitIndex1) | (~v88(constB47, bitIndex0)) | v140(constB47))),
% 49.93/32.98 inference(quant_inst,[status(thm)],[])).
% 49.93/32.98 tff(25717,plain,
% 49.93/32.98 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB47, bitIndex2) | v88(constB47, bitIndex1) | (~v88(constB47, bitIndex0)) | v140(constB47)),
% 49.93/32.98 inference(modus_ponens,[status(thm)],[25716, 25715])).
% 49.93/32.98 tff(25718,plain,
% 49.93/32.98 (v140(constB47)),
% 49.93/32.98 inference(unit_resolution,[status(thm)],[25717, 10178, 25714, 25704, 25694])).
% 49.93/32.98 tff(25719,plain,
% 49.93/32.98 (((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB47) | (~v140(constB47)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB47) | (~v140(constB47)))),
% 49.93/32.98 inference(rewrite,[status(thm)],[])).
% 49.93/32.98 tff(25720,plain,
% 49.93/32.98 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB47) | (~v140(constB47)))),
% 49.93/32.98 inference(quant_inst,[status(thm)],[])).
% 49.93/32.98 tff(25721,plain,
% 49.93/32.98 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB47) | (~v140(constB47))),
% 49.93/32.98 inference(modus_ponens,[status(thm)],[25720, 25719])).
% 49.93/32.98 tff(25722,plain,
% 49.93/32.98 (v200(constB47)),
% 49.93/32.98 inference(unit_resolution,[status(thm)],[25721, 10192, 25718])).
% 49.93/32.98 tff(25723,plain,
% 49.93/32.98 (((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB47) | (~v200(constB47)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB47) | (~v200(constB47)))),
% 49.93/32.98 inference(rewrite,[status(thm)],[])).
% 49.93/32.98 tff(25724,plain,
% 49.93/32.98 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB47) | (~v200(constB47)))),
% 49.93/32.98 inference(quant_inst,[status(thm)],[])).
% 49.93/32.98 tff(25725,plain,
% 49.93/32.98 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB47) | (~v200(constB47))),
% 49.93/32.98 inference(modus_ponens,[status(thm)],[25724, 25723])).
% 49.93/32.98 tff(25726,plain,
% 49.93/32.98 (v199(constB47)),
% 49.93/32.98 inference(unit_resolution,[status(thm)],[25725, 10203, 25722])).
% 49.93/32.98 tff(25727,plain,
% 49.93/32.98 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB47) | (~v199(constB47)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB47) | (~v199(constB47)))),
% 49.93/32.98 inference(rewrite,[status(thm)],[])).
% 49.93/32.98 tff(25728,plain,
% 49.93/32.98 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB47) | (~v199(constB47)))),
% 49.93/32.98 inference(quant_inst,[status(thm)],[])).
% 49.93/32.98 tff(25729,plain,
% 49.93/32.98 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB47) | (~v199(constB47))),
% 49.93/32.98 inference(modus_ponens,[status(thm)],[25728, 25727])).
% 49.93/32.98 tff(25730,plain,
% 49.93/32.98 (v198(constB47)),
% 49.93/32.98 inference(unit_resolution,[status(thm)],[25729, 8809, 25726])).
% 49.93/32.98 tff(25731,plain,
% 49.93/32.98 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB47)) | (~v201(constB47)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB47)) | (~v201(constB47)))),
% 49.93/32.98 inference(rewrite,[status(thm)],[])).
% 49.93/32.98 tff(25732,plain,
% 49.93/32.98 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB47)) | (~v201(constB47)))),
% 49.93/32.98 inference(quant_inst,[status(thm)],[])).
% 49.93/32.98 tff(25733,plain,
% 49.93/32.98 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB47)) | (~v201(constB47))),
% 49.93/32.98 inference(modus_ponens,[status(thm)],[25732, 25731])).
% 49.93/32.98 tff(25734,plain,
% 49.93/32.98 (~v201(constB47)),
% 49.93/32.98 inference(unit_resolution,[status(thm)],[25733, 8823, 25730])).
% 49.93/32.98 tff(25735,plain,
% 49.93/32.98 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB47) | (~v198(constB47)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB47) | (~v198(constB47)))),
% 49.93/32.98 inference(rewrite,[status(thm)],[])).
% 49.93/32.98 tff(25736,plain,
% 49.93/32.98 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB47) | (~v198(constB47)))),
% 49.93/32.98 inference(quant_inst,[status(thm)],[])).
% 49.93/32.98 tff(25737,plain,
% 49.93/32.98 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB47) | (~v198(constB47))),
% 49.93/32.98 inference(modus_ponens,[status(thm)],[25736, 25735])).
% 49.93/32.98 tff(25738,plain,
% 49.93/32.98 (v197(constB47)),
% 49.93/32.98 inference(unit_resolution,[status(thm)],[25737, 8834, 25730])).
% 49.93/32.98 tff(25739,plain,
% 49.93/32.98 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB47) | v201(constB47) | (~v197(constB47)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB47) | v201(constB47) | (~v197(constB47)))),
% 49.93/32.98 inference(rewrite,[status(thm)],[])).
% 49.93/32.98 tff(25740,plain,
% 49.93/32.98 (((~v197(constB47)) | v201(constB47) | v227(constB47)) <=> (v227(constB47) | v201(constB47) | (~v197(constB47)))),
% 49.93/32.98 inference(rewrite,[status(thm)],[])).
% 49.93/32.98 tff(25741,plain,
% 49.93/32.98 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB47)) | v201(constB47) | v227(constB47))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB47) | v201(constB47) | (~v197(constB47))))),
% 49.93/32.98 inference(monotonicity,[status(thm)],[25740])).
% 49.93/32.98 tff(25742,plain,
% 49.93/32.98 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB47)) | v201(constB47) | v227(constB47))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB47) | v201(constB47) | (~v197(constB47)))),
% 49.93/32.98 inference(transitivity,[status(thm)],[25741, 25739])).
% 49.93/32.98 tff(25743,plain,
% 49.93/32.98 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB47)) | v201(constB47) | v227(constB47))),
% 49.93/32.98 inference(quant_inst,[status(thm)],[])).
% 49.93/32.98 tff(25744,plain,
% 49.93/32.98 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB47) | v201(constB47) | (~v197(constB47))),
% 49.93/32.98 inference(modus_ponens,[status(thm)],[25743, 25742])).
% 49.93/32.98 tff(25745,plain,
% 49.93/32.98 (v227(constB47)),
% 49.93/32.98 inference(unit_resolution,[status(thm)],[25744, 8848, 25738, 25734])).
% 49.93/32.98 tff(25746,plain,
% 49.93/32.98 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB47)) | (~v223(constB47, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB47)) | (~v223(constB47, bitIndex0)))),
% 49.93/32.98 inference(rewrite,[status(thm)],[])).
% 49.93/32.98 tff(25747,plain,
% 49.93/32.98 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB47)) | (~v223(constB47, bitIndex0)))),
% 49.93/32.98 inference(quant_inst,[status(thm)],[])).
% 49.93/32.98 tff(25748,plain,
% 49.93/32.98 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB47)) | (~v223(constB47, bitIndex0))),
% 49.93/32.98 inference(modus_ponens,[status(thm)],[25747, 25746])).
% 49.93/32.98 tff(25749,plain,
% 49.93/32.98 (~v223(constB47, bitIndex0)),
% 49.93/32.98 inference(unit_resolution,[status(thm)],[25748, 8862, 25745])).
% 49.93/32.98 tff(25750,plain,
% 49.93/32.98 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB47)) | (~v199(constB47)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB47)) | (~v199(constB47)))),
% 49.93/32.98 inference(rewrite,[status(thm)],[])).
% 49.93/32.98 tff(25751,plain,
% 49.93/32.98 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB47)) | (~v199(constB47)))),
% 49.93/32.98 inference(quant_inst,[status(thm)],[])).
% 49.93/32.98 tff(25752,plain,
% 49.93/32.98 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB47)) | (~v199(constB47))),
% 49.93/32.98 inference(modus_ponens,[status(thm)],[25751, 25750])).
% 49.93/32.98 tff(25753,plain,
% 49.93/32.98 (~v183(constB47)),
% 49.93/32.98 inference(unit_resolution,[status(thm)],[25752, 8873, 25726])).
% 49.93/32.98 tff(25754,plain,
% 49.93/32.98 (((~![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)))),
% 49.93/32.98 inference(rewrite,[status(thm)],[])).
% 49.93/32.98 tff(25755,plain,
% 49.93/32.98 (((~v197(constB47)) | v183(constB47) | v228(constB47)) <=> (v228(constB47) | v183(constB47) | (~v197(constB47)))),
% 49.93/32.98 inference(rewrite,[status(thm)],[])).
% 49.93/32.98 tff(25756,plain,
% 49.93/32.98 (((~![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))))),
% 49.93/32.98 inference(monotonicity,[status(thm)],[25755])).
% 49.93/32.98 tff(25757,plain,
% 49.93/32.98 (((~![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)))),
% 49.93/32.98 inference(transitivity,[status(thm)],[25756, 25754])).
% 49.93/32.98 tff(25758,plain,
% 49.93/32.98 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB47)) | v183(constB47) | v228(constB47))),
% 49.93/32.98 inference(quant_inst,[status(thm)],[])).
% 49.93/32.98 tff(25759,plain,
% 49.93/32.98 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB47) | v183(constB47) | (~v197(constB47))),
% 49.93/32.98 inference(modus_ponens,[status(thm)],[25758, 25757])).
% 49.93/32.98 tff(25760,plain,
% 49.93/32.98 (v228(constB47)),
% 49.93/32.98 inference(unit_resolution,[status(thm)],[25759, 8887, 25738, 25753])).
% 49.93/32.98 tff(25761,plain,
% 49.93/32.98 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB47)) | (~v223(constB47, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB47)) | (~v223(constB47, bitIndex1)))),
% 49.93/32.98 inference(rewrite,[status(thm)],[])).
% 49.93/32.98 tff(25762,plain,
% 49.93/32.98 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB47)) | (~v223(constB47, bitIndex1)))),
% 49.93/32.98 inference(quant_inst,[status(thm)],[])).
% 49.93/32.98 tff(25763,plain,
% 49.93/32.98 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB47)) | (~v223(constB47, bitIndex1))),
% 49.93/32.98 inference(modus_ponens,[status(thm)],[25762, 25761])).
% 49.93/32.98 tff(25764,plain,
% 49.93/32.98 (~v223(constB47, bitIndex1)),
% 49.93/32.98 inference(unit_resolution,[status(thm)],[25763, 8901, 25760])).
% 49.93/32.98 tff(25765,plain,
% 49.93/32.98 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB47, bitIndex1) | v223(constB47, bitIndex0) | (~v229(constB47)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB47, bitIndex1) | v223(constB47, bitIndex0) | (~v229(constB47)))),
% 49.93/32.98 inference(rewrite,[status(thm)],[])).
% 49.93/32.98 tff(25766,plain,
% 49.93/32.98 ((v223(constB47, bitIndex0) | v223(constB47, bitIndex1) | (~v229(constB47))) <=> (v223(constB47, bitIndex1) | v223(constB47, bitIndex0) | (~v229(constB47)))),
% 49.93/32.98 inference(rewrite,[status(thm)],[])).
% 49.93/32.98 tff(25767,plain,
% 49.93/32.98 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB47, bitIndex0) | v223(constB47, bitIndex1) | (~v229(constB47)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB47, bitIndex1) | v223(constB47, bitIndex0) | (~v229(constB47))))),
% 49.93/32.98 inference(monotonicity,[status(thm)],[25766])).
% 49.93/32.98 tff(25768,plain,
% 49.93/32.98 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB47, bitIndex0) | v223(constB47, bitIndex1) | (~v229(constB47)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB47, bitIndex1) | v223(constB47, bitIndex0) | (~v229(constB47)))),
% 49.93/32.98 inference(transitivity,[status(thm)],[25767, 25765])).
% 49.93/32.98 tff(25769,plain,
% 49.93/32.98 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB47, bitIndex0) | v223(constB47, bitIndex1) | (~v229(constB47)))),
% 49.93/32.98 inference(quant_inst,[status(thm)],[])).
% 49.93/32.98 tff(25770,plain,
% 49.93/32.98 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB47, bitIndex1) | v223(constB47, bitIndex0) | (~v229(constB47))),
% 49.93/32.98 inference(modus_ponens,[status(thm)],[25769, 25768])).
% 49.93/32.98 tff(25771,plain,
% 49.93/32.98 (~v229(constB47)),
% 49.93/32.98 inference(unit_resolution,[status(thm)],[25770, 8915, 25764, 25749])).
% 49.93/32.98 tff(25772,plain,
% 49.93/32.98 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB47) | (~v225(constB47)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB47) | (~v225(constB47)))),
% 49.93/32.98 inference(rewrite,[status(thm)],[])).
% 49.93/32.98 tff(25773,plain,
% 49.93/32.98 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB47) | (~v225(constB47)))),
% 49.93/32.98 inference(quant_inst,[status(thm)],[])).
% 49.93/32.98 tff(25774,plain,
% 49.93/32.98 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB47) | (~v225(constB47))),
% 49.93/32.98 inference(modus_ponens,[status(thm)],[25773, 25772])).
% 49.93/32.98 tff(25775,plain,
% 49.93/32.98 (~v225(constB47)),
% 49.93/32.98 inference(unit_resolution,[status(thm)],[25774, 8929, 25771])).
% 49.93/32.98 tff(25776,plain,
% 49.93/32.98 (((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB47)) | (~v200(constB47)))) <=> ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB47)) | (~v200(constB47)))),
% 49.93/32.98 inference(rewrite,[status(thm)],[])).
% 49.93/32.98 tff(25777,plain,
% 49.93/32.98 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB47)) | (~v200(constB47)))),
% 49.93/32.98 inference(quant_inst,[status(thm)],[])).
% 49.93/32.98 tff(25778,plain,
% 49.93/32.98 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB47)) | (~v200(constB47))),
% 49.93/32.98 inference(modus_ponens,[status(thm)],[25777, 25776])).
% 49.93/32.98 tff(25779,plain,
% 49.93/32.98 (~v166(constB47)),
% 49.93/32.98 inference(unit_resolution,[status(thm)],[25778, 10263, 25722])).
% 49.93/32.98 tff(25780,plain,
% 49.93/32.98 (((~![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)))),
% 49.93/32.98 inference(rewrite,[status(thm)],[])).
% 49.93/32.98 tff(25781,plain,
% 49.93/32.98 (((~v197(constB47)) | v166(constB47) | v241(constB47)) <=> (v241(constB47) | v166(constB47) | (~v197(constB47)))),
% 49.93/32.98 inference(rewrite,[status(thm)],[])).
% 49.93/32.98 tff(25782,plain,
% 49.93/32.98 (((~![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))))),
% 49.93/32.98 inference(monotonicity,[status(thm)],[25781])).
% 49.93/32.98 tff(25783,plain,
% 49.93/32.98 (((~![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)))),
% 49.93/32.98 inference(transitivity,[status(thm)],[25782, 25780])).
% 49.93/32.98 tff(25784,plain,
% 49.93/32.98 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB47)) | v166(constB47) | v241(constB47))),
% 49.93/32.98 inference(quant_inst,[status(thm)],[])).
% 49.93/32.98 tff(25785,plain,
% 49.93/32.98 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB47) | v166(constB47) | (~v197(constB47))),
% 49.93/32.98 inference(modus_ponens,[status(thm)],[25784, 25783])).
% 49.93/32.98 tff(25786,plain,
% 49.93/32.98 (v241(constB47) | (~v197(constB47))),
% 49.93/32.98 inference(unit_resolution,[status(thm)],[25785, 10277, 25779])).
% 49.93/32.98 tff(25787,plain,
% 49.93/32.98 (v241(constB47)),
% 49.93/32.98 inference(unit_resolution,[status(thm)],[25786, 25738])).
% 49.93/32.98 tff(25788,plain,
% 49.93/32.98 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB47)) | (~v223(constB47, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB47)) | (~v223(constB47, bitIndex2)))),
% 49.93/32.98 inference(rewrite,[status(thm)],[])).
% 49.93/32.98 tff(25789,plain,
% 49.93/32.98 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB47)) | (~v223(constB47, bitIndex2)))),
% 49.93/32.98 inference(quant_inst,[status(thm)],[])).
% 49.93/32.98 tff(25790,plain,
% 49.93/32.98 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB47)) | (~v223(constB47, bitIndex2))),
% 49.93/32.98 inference(modus_ponens,[status(thm)],[25789, 25788])).
% 49.93/32.98 tff(25791,plain,
% 49.93/32.98 (~v223(constB47, bitIndex2)),
% 49.93/32.98 inference(unit_resolution,[status(thm)],[25790, 10292, 25787])).
% 49.93/32.98 tff(25792,plain,
% 49.93/32.98 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v223(constB47, bitIndex2) | v225(constB47) | (~v242(constB47)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v223(constB47, bitIndex2) | v225(constB47) | (~v242(constB47)))),
% 49.93/32.98 inference(rewrite,[status(thm)],[])).
% 49.93/32.98 tff(25793,plain,
% 49.93/32.98 ((v225(constB47) | v223(constB47, bitIndex2) | (~v242(constB47))) <=> (v223(constB47, bitIndex2) | v225(constB47) | (~v242(constB47)))),
% 49.93/32.98 inference(rewrite,[status(thm)],[])).
% 49.93/32.98 tff(25794,plain,
% 49.93/32.98 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB47) | v223(constB47, bitIndex2) | (~v242(constB47)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v223(constB47, bitIndex2) | v225(constB47) | (~v242(constB47))))),
% 49.93/32.98 inference(monotonicity,[status(thm)],[25793])).
% 49.93/32.98 tff(25795,plain,
% 49.93/32.98 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB47) | v223(constB47, bitIndex2) | (~v242(constB47)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v223(constB47, bitIndex2) | v225(constB47) | (~v242(constB47)))),
% 49.93/32.98 inference(transitivity,[status(thm)],[25794, 25792])).
% 49.93/32.98 tff(25796,plain,
% 49.93/32.98 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB47) | v223(constB47, bitIndex2) | (~v242(constB47)))),
% 49.93/32.98 inference(quant_inst,[status(thm)],[])).
% 49.93/32.98 tff(25797,plain,
% 49.93/32.98 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v223(constB47, bitIndex2) | v225(constB47) | (~v242(constB47))),
% 49.93/32.98 inference(modus_ponens,[status(thm)],[25796, 25795])).
% 49.93/32.98 tff(25798,plain,
% 49.93/32.98 (v225(constB47) | (~v242(constB47))),
% 49.93/32.98 inference(unit_resolution,[status(thm)],[25797, 10306, 25791])).
% 49.93/32.98 tff(25799,plain,
% 49.93/32.98 (~v242(constB47)),
% 49.93/32.98 inference(unit_resolution,[status(thm)],[25798, 25775])).
% 49.93/32.98 tff(25800,plain,
% 49.93/32.98 (((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB47) | (~v238(constB47)))) <=> ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB47) | (~v238(constB47)))),
% 49.93/32.98 inference(rewrite,[status(thm)],[])).
% 49.93/32.98 tff(25801,plain,
% 49.93/32.98 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB47) | (~v238(constB47)))),
% 49.93/32.99 inference(quant_inst,[status(thm)],[])).
% 49.93/32.99 tff(25802,plain,
% 49.93/32.99 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB47) | (~v238(constB47))),
% 49.93/32.99 inference(modus_ponens,[status(thm)],[25801, 25800])).
% 49.93/32.99 tff(25803,plain,
% 49.93/32.99 (~v238(constB47)),
% 49.93/32.99 inference(unit_resolution,[status(thm)],[25802, 10318, 25799])).
% 49.93/32.99 tff(25804,plain,
% 49.93/32.99 (((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB47) | (~v237(constB47)))) <=> ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB47) | (~v237(constB47)))),
% 49.93/32.99 inference(rewrite,[status(thm)],[])).
% 49.93/32.99 tff(25805,plain,
% 49.93/32.99 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB47) | (~v237(constB47)))),
% 49.93/32.99 inference(quant_inst,[status(thm)],[])).
% 49.93/32.99 tff(25806,plain,
% 49.93/32.99 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB47) | (~v237(constB47))),
% 49.93/32.99 inference(modus_ponens,[status(thm)],[25805, 25804])).
% 49.93/32.99 tff(25807,plain,
% 49.93/32.99 (~v237(constB47)),
% 49.93/32.99 inference(unit_resolution,[status(thm)],[25806, 10329, 25803])).
% 49.93/32.99 tff(25808,plain,
% 49.93/32.99 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB47)) | v223(constB47, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB47)) | v223(constB47, bitIndex2))),
% 49.93/32.99 inference(rewrite,[status(thm)],[])).
% 49.93/32.99 tff(25809,plain,
% 49.93/32.99 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB47)) | v223(constB47, bitIndex2))),
% 49.93/32.99 inference(quant_inst,[status(thm)],[])).
% 49.93/32.99 tff(25810,plain,
% 49.93/32.99 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB47)) | v223(constB47, bitIndex2)),
% 49.93/32.99 inference(modus_ponens,[status(thm)],[25809, 25808])).
% 49.93/32.99 tff(25811,plain,
% 49.93/32.99 (~v224(constB47)),
% 49.93/32.99 inference(unit_resolution,[status(thm)],[25810, 10343, 25791])).
% 49.93/32.99 tff(25812,plain,
% 49.93/32.99 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB47)) | v223(constB47, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB47)) | v223(constB47, bitIndex1))),
% 49.93/32.99 inference(rewrite,[status(thm)],[])).
% 49.93/32.99 tff(25813,plain,
% 49.93/32.99 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB47)) | v223(constB47, bitIndex1))),
% 49.93/32.99 inference(quant_inst,[status(thm)],[])).
% 49.93/32.99 tff(25814,plain,
% 49.93/32.99 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB47)) | v223(constB47, bitIndex1)),
% 49.93/32.99 inference(modus_ponens,[status(thm)],[25813, 25812])).
% 49.93/32.99 tff(25815,plain,
% 49.93/32.99 (~v222(constB47)),
% 49.93/32.99 inference(unit_resolution,[status(thm)],[25814, 8954, 25764])).
% 49.93/32.99 tff(25816,plain,
% 49.93/32.99 (((~![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)))),
% 49.93/32.99 inference(rewrite,[status(thm)],[])).
% 49.93/32.99 tff(25817,plain,
% 49.93/32.99 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB47) | v224(constB47) | (~v236(constB47)))),
% 49.93/32.99 inference(quant_inst,[status(thm)],[])).
% 49.93/32.99 tff(25818,plain,
% 49.93/32.99 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB47) | v224(constB47) | (~v236(constB47))),
% 49.93/32.99 inference(modus_ponens,[status(thm)],[25817, 25816])).
% 49.93/32.99 tff(25819,plain,
% 49.93/32.99 (~v236(constB47)),
% 49.93/32.99 inference(unit_resolution,[status(thm)],[25818, 8968, 25815, 25811])).
% 49.93/32.99 tff(25820,plain,
% 49.93/32.99 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB47) | (~v232(constB47)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB47) | (~v232(constB47)))),
% 49.93/32.99 inference(rewrite,[status(thm)],[])).
% 49.93/32.99 tff(25821,plain,
% 49.93/32.99 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB47) | (~v232(constB47)))),
% 49.93/32.99 inference(quant_inst,[status(thm)],[])).
% 49.93/32.99 tff(25822,plain,
% 49.93/32.99 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB47) | (~v232(constB47))),
% 49.93/32.99 inference(modus_ponens,[status(thm)],[25821, 25820])).
% 49.93/32.99 tff(25823,plain,
% 49.93/32.99 (~v232(constB47)),
% 49.93/32.99 inference(unit_resolution,[status(thm)],[25822, 8980, 25819])).
% 49.93/32.99 tff(25824,plain,
% 49.93/32.99 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB47) | v232(constB47) | (~v248(constB47)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB47) | v232(constB47) | (~v248(constB47)))),
% 49.93/32.99 inference(rewrite,[status(thm)],[])).
% 49.93/32.99 tff(25825,plain,
% 49.93/32.99 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB47) | v232(constB47) | (~v248(constB47)))),
% 49.93/32.99 inference(quant_inst,[status(thm)],[])).
% 49.93/32.99 tff(25826,plain,
% 49.93/32.99 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB47) | v232(constB47) | (~v248(constB47))),
% 49.93/32.99 inference(modus_ponens,[status(thm)],[25825, 25824])).
% 49.93/32.99 tff(25827,plain,
% 49.93/32.99 (v237(constB47) | (~v248(constB47))),
% 49.93/32.99 inference(unit_resolution,[status(thm)],[25826, 9076, 25823])).
% 49.93/32.99 tff(25828,plain,
% 49.93/32.99 (~v248(constB47)),
% 49.93/32.99 inference(unit_resolution,[status(thm)],[25827, 25807])).
% 49.93/32.99 tff(25829,plain,
% 49.93/32.99 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB47) | (~v244(constB47)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB47) | (~v244(constB47)))),
% 49.93/32.99 inference(rewrite,[status(thm)],[])).
% 49.93/32.99 tff(25830,plain,
% 49.93/32.99 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB47) | (~v244(constB47)))),
% 49.93/32.99 inference(quant_inst,[status(thm)],[])).
% 49.93/32.99 tff(25831,plain,
% 49.93/32.99 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB47) | (~v244(constB47))),
% 49.93/32.99 inference(modus_ponens,[status(thm)],[25830, 25829])).
% 49.93/32.99 tff(25832,plain,
% 49.93/32.99 (~v244(constB47)),
% 49.93/32.99 inference(unit_resolution,[status(thm)],[25831, 11335, 25828])).
% 49.93/32.99 tff(25833,plain,
% 49.93/32.99 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB47) | (~v216(constB47, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB47) | (~v216(constB47, bitIndex1)))),
% 49.93/32.99 inference(rewrite,[status(thm)],[])).
% 49.93/32.99 tff(25834,plain,
% 49.93/32.99 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB47) | (~v216(constB47, bitIndex1)))),
% 49.93/32.99 inference(quant_inst,[status(thm)],[])).
% 49.93/32.99 tff(25835,plain,
% 49.93/32.99 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB47) | (~v216(constB47, bitIndex1))),
% 49.93/32.99 inference(modus_ponens,[status(thm)],[25834, 25833])).
% 49.93/32.99 tff(25836,plain,
% 49.93/32.99 (~v216(constB47, bitIndex1)),
% 49.93/32.99 inference(unit_resolution,[status(thm)],[25835, 11346, 25832])).
% 49.93/32.99 tff(25837,plain,
% 49.93/32.99 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | ((~v254(constB47)) | v216(constB47, bitIndex1))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB47)) | v216(constB47, bitIndex1))),
% 49.93/32.99 inference(rewrite,[status(thm)],[])).
% 49.93/32.99 tff(25838,plain,
% 49.93/32.99 ((v216(constB47, bitIndex1) | (~v254(constB47))) <=> ((~v254(constB47)) | v216(constB47, bitIndex1))),
% 49.93/32.99 inference(rewrite,[status(thm)],[])).
% 49.93/32.99 tff(25839,plain,
% 49.93/32.99 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB47, bitIndex1) | (~v254(constB47)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | ((~v254(constB47)) | v216(constB47, bitIndex1)))),
% 49.93/32.99 inference(monotonicity,[status(thm)],[25838])).
% 49.93/32.99 tff(25840,plain,
% 49.93/32.99 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB47, bitIndex1) | (~v254(constB47)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB47)) | v216(constB47, bitIndex1))),
% 49.93/32.99 inference(transitivity,[status(thm)],[25839, 25837])).
% 49.93/32.99 tff(25841,plain,
% 49.93/32.99 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB47, bitIndex1) | (~v254(constB47)))),
% 49.93/32.99 inference(quant_inst,[status(thm)],[])).
% 49.93/32.99 tff(25842,plain,
% 49.93/32.99 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB47)) | v216(constB47, bitIndex1)),
% 49.93/32.99 inference(modus_ponens,[status(thm)],[25841, 25840])).
% 49.93/32.99 tff(25843,plain,
% 49.93/32.99 (~v254(constB47)),
% 49.93/32.99 inference(unit_resolution,[status(thm)],[25842, 11357, 25836])).
% 49.93/32.99 tff(25844,plain,
% 49.93/32.99 (((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB47) | (~v231(constB47)))) <=> ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB47) | (~v231(constB47)))),
% 49.93/32.99 inference(rewrite,[status(thm)],[])).
% 49.93/32.99 tff(25845,plain,
% 49.93/32.99 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB47) | (~v231(constB47)))),
% 49.93/32.99 inference(quant_inst,[status(thm)],[])).
% 49.93/32.99 tff(25846,plain,
% 49.93/32.99 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB47) | (~v231(constB47))),
% 49.93/32.99 inference(modus_ponens,[status(thm)],[25845, 25844])).
% 49.93/32.99 tff(25847,plain,
% 49.93/32.99 (~v231(constB47)),
% 49.93/32.99 inference(unit_resolution,[status(thm)],[25846, 24684, 25823])).
% 49.93/32.99 tff(25848,plain,
% 49.93/32.99 (((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB47) | (~v221(constB47)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB47) | (~v221(constB47)))),
% 49.93/32.99 inference(rewrite,[status(thm)],[])).
% 49.93/32.99 tff(25849,plain,
% 49.93/32.99 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB47) | (~v221(constB47)))),
% 49.93/32.99 inference(quant_inst,[status(thm)],[])).
% 49.93/32.99 tff(25850,plain,
% 49.93/32.99 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB47) | (~v221(constB47))),
% 49.93/32.99 inference(modus_ponens,[status(thm)],[25849, 25848])).
% 49.93/32.99 tff(25851,plain,
% 49.93/32.99 (~v221(constB47)),
% 49.93/32.99 inference(unit_resolution,[status(thm)],[25850, 11192, 25815])).
% 49.93/32.99 tff(25852,plain,
% 49.93/32.99 (((~![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)))),
% 49.93/32.99 inference(rewrite,[status(thm)],[])).
% 49.93/32.99 tff(25853,plain,
% 49.93/32.99 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB47) | v231(constB47) | (~v243(constB47)))),
% 49.93/32.99 inference(quant_inst,[status(thm)],[])).
% 49.94/32.99 tff(25854,plain,
% 49.94/32.99 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB47) | v231(constB47) | (~v243(constB47))),
% 49.94/32.99 inference(modus_ponens,[status(thm)],[25853, 25852])).
% 49.94/32.99 tff(25855,plain,
% 49.94/32.99 (v231(constB47) | (~v243(constB47))),
% 49.94/32.99 inference(unit_resolution,[status(thm)],[25854, 11206, 25851])).
% 49.94/32.99 tff(25856,plain,
% 49.94/32.99 (~v243(constB47)),
% 49.94/32.99 inference(unit_resolution,[status(thm)],[25855, 25847])).
% 49.94/32.99 tff(25857,plain,
% 49.94/32.99 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB47) | v255(constB47))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB47) | v255(constB47))),
% 49.94/32.99 inference(rewrite,[status(thm)],[])).
% 49.94/32.99 tff(25858,plain,
% 49.94/32.99 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB47) | v255(constB47))),
% 49.94/32.99 inference(quant_inst,[status(thm)],[])).
% 49.94/32.99 tff(25859,plain,
% 49.94/32.99 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB47) | v255(constB47)),
% 49.94/32.99 inference(modus_ponens,[status(thm)],[25858, 25857])).
% 49.94/32.99 tff(25860,plain,
% 49.94/32.99 (v255(constB47)),
% 49.94/32.99 inference(unit_resolution,[status(thm)],[25859, 11222, 25856])).
% 49.94/32.99 tff(25861,plain,
% 49.94/32.99 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB47)) | (~v216(constB47, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB47)) | (~v216(constB47, bitIndex2)))),
% 49.94/32.99 inference(rewrite,[status(thm)],[])).
% 49.94/32.99 tff(25862,plain,
% 49.94/32.99 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB47)) | (~v216(constB47, bitIndex2)))),
% 49.94/32.99 inference(quant_inst,[status(thm)],[])).
% 49.94/32.99 tff(25863,plain,
% 49.94/32.99 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB47)) | (~v216(constB47, bitIndex2))),
% 49.94/32.99 inference(modus_ponens,[status(thm)],[25862, 25861])).
% 49.94/32.99 tff(25864,plain,
% 49.94/32.99 (~v216(constB47, bitIndex2)),
% 49.94/32.99 inference(unit_resolution,[status(thm)],[25863, 11237, 25860])).
% 49.94/32.99 tff(25865,plain,
% 49.94/32.99 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB47, bitIndex2) | (~v215(constB47)) | v254(constB47))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB47, bitIndex2) | (~v215(constB47)) | v254(constB47))),
% 49.94/32.99 inference(rewrite,[status(thm)],[])).
% 49.94/32.99 tff(25866,plain,
% 49.94/32.99 ((v216(constB47, bitIndex2) | v254(constB47) | (~v215(constB47))) <=> (v216(constB47, bitIndex2) | (~v215(constB47)) | v254(constB47))),
% 49.94/32.99 inference(rewrite,[status(thm)],[])).
% 49.94/32.99 tff(25867,plain,
% 49.94/32.99 (((~![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) | (~v215(constB47)) | v254(constB47)))),
% 49.94/32.99 inference(monotonicity,[status(thm)],[25866])).
% 49.94/32.99 tff(25868,plain,
% 49.94/32.99 (((~![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) | (~v215(constB47)) | v254(constB47))),
% 49.94/32.99 inference(transitivity,[status(thm)],[25867, 25865])).
% 49.94/32.99 tff(25869,plain,
% 49.94/32.99 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB47, bitIndex2) | v254(constB47) | (~v215(constB47)))),
% 49.94/32.99 inference(quant_inst,[status(thm)],[])).
% 49.94/32.99 tff(25870,plain,
% 49.94/32.99 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB47, bitIndex2) | (~v215(constB47)) | v254(constB47)),
% 49.94/32.99 inference(modus_ponens,[status(thm)],[25869, 25868])).
% 49.94/32.99 tff(25871,plain,
% 49.94/32.99 ((~v215(constB47)) | v254(constB47)),
% 49.94/32.99 inference(unit_resolution,[status(thm)],[25870, 11278, 25864])).
% 49.94/32.99 tff(25872,plain,
% 49.94/32.99 (~v215(constB47)),
% 49.94/32.99 inference(unit_resolution,[status(thm)],[25871, 25843])).
% 49.94/32.99 tff(25873,plain,
% 49.94/32.99 ($false),
% 49.94/32.99 inference(unit_resolution,[status(thm)],[25872, 25679])).
% 49.94/32.99 tff(25874,plain,(~(constB47 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 49.94/32.99 tff(25875,assumption,(constB181 = sK0_VarCurr), introduced(assumption)).
% 49.94/32.99 tff(25876,plain,
% 49.94/32.99 (v215(constB181) <=> v215(sK0_VarCurr)),
% 49.94/32.99 inference(monotonicity,[status(thm)],[25875])).
% 49.94/32.99 tff(25877,plain,
% 49.94/32.99 (v215(sK0_VarCurr) <=> v215(constB181)),
% 49.94/32.99 inference(symmetry,[status(thm)],[25876])).
% 49.94/32.99 tff(25878,plain,
% 49.94/32.99 (v215(constB181)),
% 49.94/32.99 inference(modus_ponens,[status(thm)],[11268, 25877])).
% 49.94/32.99 tff(25879,plain,
% 49.94/32.99 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB181, bitIndex0)) | v88(constB181, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB181, bitIndex0)) | v88(constB181, bitIndex0))),
% 49.94/32.99 inference(rewrite,[status(thm)],[])).
% 49.94/32.99 tff(25880,plain,
% 49.94/32.99 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB181, bitIndex0)) | v88(constB181, bitIndex0))),
% 49.94/32.99 inference(quant_inst,[status(thm)],[])).
% 49.94/32.99 tff(25881,plain,
% 49.94/32.99 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB181, bitIndex0)) | v88(constB181, bitIndex0)),
% 49.94/32.99 inference(modus_ponens,[status(thm)],[25880, 25879])).
% 49.94/32.99 tff(25882,plain,
% 49.94/32.99 (v88(constB181, bitIndex0)),
% 49.94/32.99 inference(unit_resolution,[status(thm)],[25881, 8662, 23649])).
% 49.94/32.99 tff(25883,plain,
% 49.94/32.99 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB181, bitIndex2) | (~v88(constB181, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB181, bitIndex2) | (~v88(constB181, bitIndex2)))),
% 49.94/32.99 inference(rewrite,[status(thm)],[])).
% 49.94/32.99 tff(25884,plain,
% 49.94/32.99 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB181, bitIndex2) | (~v88(constB181, bitIndex2)))),
% 49.94/32.99 inference(quant_inst,[status(thm)],[])).
% 49.94/32.99 tff(25885,plain,
% 49.94/32.99 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB181, bitIndex2) | (~v88(constB181, bitIndex2))),
% 49.94/32.99 inference(modus_ponens,[status(thm)],[25884, 25883])).
% 49.94/32.99 tff(25886,plain,
% 49.94/32.99 (~v88(constB181, bitIndex2)),
% 49.94/32.99 inference(unit_resolution,[status(thm)],[25885, 8769, 23683])).
% 49.94/32.99 tff(25887,plain,
% 49.94/32.99 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB181, bitIndex1)) | v88(constB181, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB181, bitIndex1)) | v88(constB181, bitIndex1))),
% 49.94/32.99 inference(rewrite,[status(thm)],[])).
% 49.94/32.99 tff(25888,plain,
% 49.94/32.99 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB181, bitIndex1)) | v88(constB181, bitIndex1))),
% 49.94/32.99 inference(quant_inst,[status(thm)],[])).
% 49.94/32.99 tff(25889,plain,
% 49.94/32.99 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB181, bitIndex1)) | v88(constB181, bitIndex1)),
% 49.94/32.99 inference(modus_ponens,[status(thm)],[25888, 25887])).
% 49.94/32.99 tff(25890,plain,
% 49.94/32.99 (v88(constB181, bitIndex1)),
% 49.94/32.99 inference(unit_resolution,[status(thm)],[25889, 8707, 23757])).
% 49.94/32.99 tff(25891,plain,
% 49.94/32.99 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB181, bitIndex0)) | v88(constB181, bitIndex2) | (~v88(constB181, bitIndex1)) | v141(constB181))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB181, bitIndex0)) | v88(constB181, bitIndex2) | (~v88(constB181, bitIndex1)) | v141(constB181))),
% 49.94/32.99 inference(rewrite,[status(thm)],[])).
% 49.94/32.99 tff(25892,plain,
% 49.94/32.99 ((v88(constB181, bitIndex2) | (~v88(constB181, bitIndex1)) | (~v88(constB181, bitIndex0)) | v141(constB181)) <=> ((~v88(constB181, bitIndex0)) | v88(constB181, bitIndex2) | (~v88(constB181, bitIndex1)) | v141(constB181))),
% 49.94/32.99 inference(rewrite,[status(thm)],[])).
% 49.94/32.99 tff(25893,plain,
% 49.94/32.99 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB181, bitIndex2) | (~v88(constB181, bitIndex1)) | (~v88(constB181, bitIndex0)) | v141(constB181))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB181, bitIndex0)) | v88(constB181, bitIndex2) | (~v88(constB181, bitIndex1)) | v141(constB181)))),
% 49.94/32.99 inference(monotonicity,[status(thm)],[25892])).
% 49.94/32.99 tff(25894,plain,
% 49.94/32.99 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB181, bitIndex2) | (~v88(constB181, bitIndex1)) | (~v88(constB181, bitIndex0)) | v141(constB181))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB181, bitIndex0)) | v88(constB181, bitIndex2) | (~v88(constB181, bitIndex1)) | v141(constB181))),
% 49.94/32.99 inference(transitivity,[status(thm)],[25893, 25891])).
% 49.94/32.99 tff(25895,plain,
% 49.94/32.99 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB181, bitIndex2) | (~v88(constB181, bitIndex1)) | (~v88(constB181, bitIndex0)) | v141(constB181))),
% 49.94/32.99 inference(quant_inst,[status(thm)],[])).
% 49.94/32.99 tff(25896,plain,
% 49.94/32.99 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB181, bitIndex0)) | v88(constB181, bitIndex2) | (~v88(constB181, bitIndex1)) | v141(constB181)),
% 49.94/32.99 inference(modus_ponens,[status(thm)],[25895, 25894])).
% 49.94/32.99 tff(25897,plain,
% 49.94/32.99 ((~v88(constB181, bitIndex0)) | v88(constB181, bitIndex2) | v141(constB181)),
% 49.94/32.99 inference(unit_resolution,[status(thm)],[25896, 8783, 25890])).
% 49.94/32.99 tff(25898,plain,
% 49.94/32.99 (v141(constB181)),
% 49.94/32.99 inference(unit_resolution,[status(thm)],[25897, 25886, 25882])).
% 49.94/32.99 tff(25899,plain,
% 49.94/32.99 (((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB181) | (~v141(constB181)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB181) | (~v141(constB181)))),
% 49.94/32.99 inference(rewrite,[status(thm)],[])).
% 49.94/32.99 tff(25900,plain,
% 49.94/32.99 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB181) | (~v141(constB181)))),
% 49.94/32.99 inference(quant_inst,[status(thm)],[])).
% 49.94/32.99 tff(25901,plain,
% 49.94/32.99 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB181) | (~v141(constB181))),
% 49.94/32.99 inference(modus_ponens,[status(thm)],[25900, 25899])).
% 49.94/32.99 tff(25902,plain,
% 49.94/32.99 (v199(constB181)),
% 49.94/32.99 inference(unit_resolution,[status(thm)],[25901, 8798, 25898])).
% 49.94/32.99 tff(25903,plain,
% 49.94/32.99 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB181) | (~v199(constB181)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB181) | (~v199(constB181)))),
% 49.94/32.99 inference(rewrite,[status(thm)],[])).
% 49.94/32.99 tff(25904,plain,
% 49.94/32.99 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB181) | (~v199(constB181)))),
% 49.94/32.99 inference(quant_inst,[status(thm)],[])).
% 49.94/32.99 tff(25905,plain,
% 49.94/32.99 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB181) | (~v199(constB181))),
% 49.94/32.99 inference(modus_ponens,[status(thm)],[25904, 25903])).
% 49.94/32.99 tff(25906,plain,
% 49.94/32.99 (v198(constB181)),
% 49.94/32.99 inference(unit_resolution,[status(thm)],[25905, 8809, 25902])).
% 49.94/32.99 tff(25907,plain,
% 49.94/32.99 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB181)) | (~v201(constB181)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB181)) | (~v201(constB181)))),
% 49.94/32.99 inference(rewrite,[status(thm)],[])).
% 49.94/32.99 tff(25908,plain,
% 49.94/32.99 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB181)) | (~v201(constB181)))),
% 49.94/32.99 inference(quant_inst,[status(thm)],[])).
% 49.94/32.99 tff(25909,plain,
% 49.94/32.99 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB181)) | (~v201(constB181))),
% 49.94/32.99 inference(modus_ponens,[status(thm)],[25908, 25907])).
% 49.94/32.99 tff(25910,plain,
% 49.94/32.99 (~v201(constB181)),
% 49.94/32.99 inference(unit_resolution,[status(thm)],[25909, 8823, 25906])).
% 49.94/32.99 tff(25911,plain,
% 49.94/32.99 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB181) | (~v198(constB181)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB181) | (~v198(constB181)))),
% 49.94/32.99 inference(rewrite,[status(thm)],[])).
% 49.94/32.99 tff(25912,plain,
% 49.94/32.99 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB181) | (~v198(constB181)))),
% 49.94/32.99 inference(quant_inst,[status(thm)],[])).
% 49.94/32.99 tff(25913,plain,
% 49.94/32.99 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB181) | (~v198(constB181))),
% 49.94/32.99 inference(modus_ponens,[status(thm)],[25912, 25911])).
% 49.94/32.99 tff(25914,plain,
% 49.94/32.99 (v197(constB181)),
% 49.94/32.99 inference(unit_resolution,[status(thm)],[25913, 8834, 25906])).
% 49.94/32.99 tff(25915,plain,
% 49.94/32.99 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB181) | v201(constB181) | (~v197(constB181)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB181) | v201(constB181) | (~v197(constB181)))),
% 49.94/32.99 inference(rewrite,[status(thm)],[])).
% 49.94/32.99 tff(25916,plain,
% 49.94/32.99 (((~v197(constB181)) | v201(constB181) | v227(constB181)) <=> (v227(constB181) | v201(constB181) | (~v197(constB181)))),
% 49.94/32.99 inference(rewrite,[status(thm)],[])).
% 49.94/32.99 tff(25917,plain,
% 49.94/32.99 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB181)) | v201(constB181) | v227(constB181))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB181) | v201(constB181) | (~v197(constB181))))),
% 49.94/32.99 inference(monotonicity,[status(thm)],[25916])).
% 49.94/32.99 tff(25918,plain,
% 49.94/32.99 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB181)) | v201(constB181) | v227(constB181))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB181) | v201(constB181) | (~v197(constB181)))),
% 49.94/32.99 inference(transitivity,[status(thm)],[25917, 25915])).
% 49.94/32.99 tff(25919,plain,
% 49.94/32.99 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB181)) | v201(constB181) | v227(constB181))),
% 49.94/32.99 inference(quant_inst,[status(thm)],[])).
% 49.94/32.99 tff(25920,plain,
% 49.94/32.99 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB181) | v201(constB181) | (~v197(constB181))),
% 49.94/32.99 inference(modus_ponens,[status(thm)],[25919, 25918])).
% 49.94/32.99 tff(25921,plain,
% 49.94/32.99 (v227(constB181)),
% 49.94/32.99 inference(unit_resolution,[status(thm)],[25920, 8848, 25914, 25910])).
% 49.94/32.99 tff(25922,plain,
% 49.94/32.99 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB181)) | (~v223(constB181, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB181)) | (~v223(constB181, bitIndex0)))),
% 49.94/32.99 inference(rewrite,[status(thm)],[])).
% 49.94/32.99 tff(25923,plain,
% 49.94/32.99 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB181)) | (~v223(constB181, bitIndex0)))),
% 49.94/32.99 inference(quant_inst,[status(thm)],[])).
% 49.94/32.99 tff(25924,plain,
% 49.94/32.99 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB181)) | (~v223(constB181, bitIndex0))),
% 49.94/32.99 inference(modus_ponens,[status(thm)],[25923, 25922])).
% 49.94/32.99 tff(25925,plain,
% 49.94/32.99 (~v223(constB181, bitIndex0)),
% 49.94/32.99 inference(unit_resolution,[status(thm)],[25924, 8862, 25921])).
% 49.94/32.99 tff(25926,plain,
% 49.94/32.99 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB181)) | (~v199(constB181)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB181)) | (~v199(constB181)))),
% 49.94/32.99 inference(rewrite,[status(thm)],[])).
% 49.94/32.99 tff(25927,plain,
% 49.94/32.99 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB181)) | (~v199(constB181)))),
% 49.94/32.99 inference(quant_inst,[status(thm)],[])).
% 49.94/32.99 tff(25928,plain,
% 49.94/32.99 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB181)) | (~v199(constB181))),
% 49.94/32.99 inference(modus_ponens,[status(thm)],[25927, 25926])).
% 49.94/32.99 tff(25929,plain,
% 49.94/32.99 (~v183(constB181)),
% 49.94/32.99 inference(unit_resolution,[status(thm)],[25928, 8873, 25902])).
% 49.94/32.99 tff(25930,plain,
% 49.94/32.99 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB181) | (~v197(constB181)) | v183(constB181))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB181) | (~v197(constB181)) | v183(constB181))),
% 49.94/32.99 inference(rewrite,[status(thm)],[])).
% 49.94/32.99 tff(25931,plain,
% 49.94/32.99 (((~v197(constB181)) | v183(constB181) | v228(constB181)) <=> (v228(constB181) | (~v197(constB181)) | v183(constB181))),
% 49.94/32.99 inference(rewrite,[status(thm)],[])).
% 49.94/32.99 tff(25932,plain,
% 49.94/32.99 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB181)) | v183(constB181) | v228(constB181))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB181) | (~v197(constB181)) | v183(constB181)))),
% 49.94/32.99 inference(monotonicity,[status(thm)],[25931])).
% 49.94/32.99 tff(25933,plain,
% 49.94/32.99 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB181)) | v183(constB181) | v228(constB181))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB181) | (~v197(constB181)) | v183(constB181))),
% 49.94/32.99 inference(transitivity,[status(thm)],[25932, 25930])).
% 49.94/32.99 tff(25934,plain,
% 49.94/32.99 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB181)) | v183(constB181) | v228(constB181))),
% 49.94/32.99 inference(quant_inst,[status(thm)],[])).
% 49.94/32.99 tff(25935,plain,
% 49.94/32.99 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB181) | (~v197(constB181)) | v183(constB181)),
% 49.94/32.99 inference(modus_ponens,[status(thm)],[25934, 25933])).
% 49.94/32.99 tff(25936,plain,
% 49.94/32.99 (v228(constB181)),
% 49.94/32.99 inference(unit_resolution,[status(thm)],[25935, 8887, 25914, 25929])).
% 49.94/32.99 tff(25937,plain,
% 49.94/32.99 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB181)) | (~v223(constB181, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB181)) | (~v223(constB181, bitIndex1)))),
% 49.94/32.99 inference(rewrite,[status(thm)],[])).
% 49.94/32.99 tff(25938,plain,
% 49.94/32.99 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB181)) | (~v223(constB181, bitIndex1)))),
% 49.94/32.99 inference(quant_inst,[status(thm)],[])).
% 49.94/32.99 tff(25939,plain,
% 49.94/32.99 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB181)) | (~v223(constB181, bitIndex1))),
% 49.94/32.99 inference(modus_ponens,[status(thm)],[25938, 25937])).
% 49.94/32.99 tff(25940,plain,
% 49.94/32.99 (~v223(constB181, bitIndex1)),
% 49.94/32.99 inference(unit_resolution,[status(thm)],[25939, 8901, 25936])).
% 49.94/32.99 tff(25941,plain,
% 49.94/32.99 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB181, bitIndex0) | v223(constB181, bitIndex1) | (~v229(constB181)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB181, bitIndex0) | v223(constB181, bitIndex1) | (~v229(constB181)))),
% 49.94/32.99 inference(rewrite,[status(thm)],[])).
% 49.94/32.99 tff(25942,plain,
% 49.94/32.99 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB181, bitIndex0) | v223(constB181, bitIndex1) | (~v229(constB181)))),
% 49.94/32.99 inference(quant_inst,[status(thm)],[])).
% 49.94/32.99 tff(25943,plain,
% 49.94/32.99 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB181, bitIndex0) | v223(constB181, bitIndex1) | (~v229(constB181))),
% 49.94/32.99 inference(modus_ponens,[status(thm)],[25942, 25941])).
% 49.94/32.99 tff(25944,plain,
% 49.94/32.99 (~v229(constB181)),
% 49.94/32.99 inference(unit_resolution,[status(thm)],[25943, 8915, 25940, 25925])).
% 49.94/32.99 tff(25945,plain,
% 49.94/32.99 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB181) | (~v225(constB181)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB181) | (~v225(constB181)))),
% 49.94/32.99 inference(rewrite,[status(thm)],[])).
% 49.94/32.99 tff(25946,plain,
% 49.94/32.99 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB181) | (~v225(constB181)))),
% 49.94/32.99 inference(quant_inst,[status(thm)],[])).
% 49.94/32.99 tff(25947,plain,
% 49.94/32.99 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB181) | (~v225(constB181))),
% 49.94/32.99 inference(modus_ponens,[status(thm)],[25946, 25945])).
% 49.94/32.99 tff(25948,plain,
% 49.94/32.99 (~v225(constB181)),
% 49.94/32.99 inference(unit_resolution,[status(thm)],[25947, 8929, 25944])).
% 49.94/32.99 tff(25949,plain,
% 49.94/32.99 (((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB181) | (~v224(constB181)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB181) | (~v224(constB181)))),
% 49.94/32.99 inference(rewrite,[status(thm)],[])).
% 49.94/32.99 tff(25950,plain,
% 49.94/32.99 ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB181) | (~v224(constB181)))),
% 49.94/32.99 inference(quant_inst,[status(thm)],[])).
% 49.94/32.99 tff(25951,plain,
% 49.94/32.99 ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB181) | (~v224(constB181))),
% 49.94/32.99 inference(modus_ponens,[status(thm)],[25950, 25949])).
% 49.94/32.99 tff(25952,plain,
% 49.94/32.99 (~v224(constB181)),
% 49.94/32.99 inference(unit_resolution,[status(thm)],[25951, 8940, 25948])).
% 49.94/32.99 tff(25953,plain,
% 49.94/32.99 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB181)) | v223(constB181, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB181)) | v223(constB181, bitIndex1))),
% 49.94/32.99 inference(rewrite,[status(thm)],[])).
% 49.94/32.99 tff(25954,plain,
% 49.94/32.99 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB181)) | v223(constB181, bitIndex1))),
% 49.94/32.99 inference(quant_inst,[status(thm)],[])).
% 49.94/32.99 tff(25955,plain,
% 49.94/32.99 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB181)) | v223(constB181, bitIndex1)),
% 49.94/32.99 inference(modus_ponens,[status(thm)],[25954, 25953])).
% 49.94/32.99 tff(25956,plain,
% 49.94/32.99 (~v222(constB181)),
% 49.94/32.99 inference(unit_resolution,[status(thm)],[25955, 8954, 25940])).
% 49.94/32.99 tff(25957,plain,
% 49.94/32.99 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB181) | v224(constB181) | (~v236(constB181)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB181) | v224(constB181) | (~v236(constB181)))),
% 49.94/32.99 inference(rewrite,[status(thm)],[])).
% 49.94/32.99 tff(25958,plain,
% 49.94/32.99 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB181) | v224(constB181) | (~v236(constB181)))),
% 49.94/32.99 inference(quant_inst,[status(thm)],[])).
% 49.94/32.99 tff(25959,plain,
% 49.94/32.99 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB181) | v224(constB181) | (~v236(constB181))),
% 49.94/32.99 inference(modus_ponens,[status(thm)],[25958, 25957])).
% 49.94/32.99 tff(25960,plain,
% 49.94/32.99 (v224(constB181) | (~v236(constB181))),
% 49.94/32.99 inference(unit_resolution,[status(thm)],[25959, 8968, 25956])).
% 49.94/32.99 tff(25961,plain,
% 49.94/32.99 (~v236(constB181)),
% 49.94/32.99 inference(unit_resolution,[status(thm)],[25960, 25952])).
% 49.94/32.99 tff(25962,plain,
% 49.94/32.99 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB181) | (~v232(constB181)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB181) | (~v232(constB181)))),
% 49.94/32.99 inference(rewrite,[status(thm)],[])).
% 49.94/32.99 tff(25963,plain,
% 49.94/32.99 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB181) | (~v232(constB181)))),
% 49.94/32.99 inference(quant_inst,[status(thm)],[])).
% 49.94/32.99 tff(25964,plain,
% 49.94/32.99 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB181) | (~v232(constB181))),
% 49.94/32.99 inference(modus_ponens,[status(thm)],[25963, 25962])).
% 49.94/32.99 tff(25965,plain,
% 49.94/32.99 (~v232(constB181)),
% 49.94/32.99 inference(unit_resolution,[status(thm)],[25964, 8980, 25961])).
% 49.94/32.99 tff(25966,plain,
% 49.94/32.99 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v139(constB181)) | (~v88(constB181, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB181)) | (~v88(constB181, bitIndex1)))),
% 49.94/32.99 inference(rewrite,[status(thm)],[])).
% 49.94/32.99 tff(25967,plain,
% 49.94/32.99 (((~v88(constB181, bitIndex1)) | (~v139(constB181))) <=> ((~v139(constB181)) | (~v88(constB181, bitIndex1)))),
% 49.94/32.99 inference(rewrite,[status(thm)],[])).
% 49.94/32.99 tff(25968,plain,
% 49.94/32.99 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB181, bitIndex1)) | (~v139(constB181)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v139(constB181)) | (~v88(constB181, bitIndex1))))),
% 49.94/32.99 inference(monotonicity,[status(thm)],[25967])).
% 49.94/32.99 tff(25969,plain,
% 49.94/33.00 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB181, bitIndex1)) | (~v139(constB181)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB181)) | (~v88(constB181, bitIndex1)))),
% 49.94/33.00 inference(transitivity,[status(thm)],[25968, 25966])).
% 49.94/33.00 tff(25970,plain,
% 49.94/33.00 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB181, bitIndex1)) | (~v139(constB181)))),
% 49.94/33.00 inference(quant_inst,[status(thm)],[])).
% 49.94/33.00 tff(25971,plain,
% 49.94/33.00 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB181)) | (~v88(constB181, bitIndex1))),
% 49.94/33.00 inference(modus_ponens,[status(thm)],[25970, 25969])).
% 49.94/33.00 tff(25972,plain,
% 49.94/33.00 (~v139(constB181)),
% 49.94/33.00 inference(unit_resolution,[status(thm)],[25971, 10589, 25890])).
% 49.94/33.00 tff(25973,plain,
% 49.94/33.00 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB181, bitIndex1)) | (~v140(constB181)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB181, bitIndex1)) | (~v140(constB181)))),
% 49.94/33.00 inference(rewrite,[status(thm)],[])).
% 49.94/33.00 tff(25974,plain,
% 49.94/33.00 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB181, bitIndex1)) | (~v140(constB181)))),
% 49.94/33.00 inference(quant_inst,[status(thm)],[])).
% 49.94/33.00 tff(25975,plain,
% 49.94/33.00 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB181, bitIndex1)) | (~v140(constB181))),
% 49.94/33.00 inference(modus_ponens,[status(thm)],[25974, 25973])).
% 49.94/33.00 tff(25976,plain,
% 49.94/33.00 (~v140(constB181)),
% 49.94/33.00 inference(unit_resolution,[status(thm)],[25975, 9002, 25890])).
% 49.94/33.00 tff(25977,plain,
% 49.94/33.00 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB181) | v139(constB181) | (~v148(constB181)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB181) | v139(constB181) | (~v148(constB181)))),
% 49.94/33.00 inference(rewrite,[status(thm)],[])).
% 49.94/33.00 tff(25978,plain,
% 49.94/33.00 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB181) | v139(constB181) | (~v148(constB181)))),
% 49.94/33.00 inference(quant_inst,[status(thm)],[])).
% 49.94/33.00 tff(25979,plain,
% 49.94/33.00 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB181) | v139(constB181) | (~v148(constB181))),
% 49.94/33.00 inference(modus_ponens,[status(thm)],[25978, 25977])).
% 49.94/33.00 tff(25980,plain,
% 49.94/33.00 (~v148(constB181)),
% 49.94/33.00 inference(unit_resolution,[status(thm)],[25979, 9016, 25976, 25972])).
% 49.94/33.00 tff(25981,plain,
% 49.94/33.00 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB181) | (~v197(constB181)) | v148(constB181))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB181) | (~v197(constB181)) | v148(constB181))),
% 49.94/33.00 inference(rewrite,[status(thm)],[])).
% 49.94/33.00 tff(25982,plain,
% 49.94/33.00 ((v148(constB181) | (~v197(constB181)) | v252(constB181)) <=> (v252(constB181) | (~v197(constB181)) | v148(constB181))),
% 49.94/33.00 inference(rewrite,[status(thm)],[])).
% 49.94/33.00 tff(25983,plain,
% 49.94/33.00 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB181) | (~v197(constB181)) | v252(constB181))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB181) | (~v197(constB181)) | v148(constB181)))),
% 49.94/33.00 inference(monotonicity,[status(thm)],[25982])).
% 49.94/33.00 tff(25984,plain,
% 49.94/33.00 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB181) | (~v197(constB181)) | v252(constB181))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB181) | (~v197(constB181)) | v148(constB181))),
% 49.94/33.00 inference(transitivity,[status(thm)],[25983, 25981])).
% 49.94/33.00 tff(25985,plain,
% 49.94/33.00 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB181) | (~v197(constB181)) | v252(constB181))),
% 49.94/33.00 inference(quant_inst,[status(thm)],[])).
% 49.94/33.00 tff(25986,plain,
% 49.94/33.00 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB181) | (~v197(constB181)) | v148(constB181)),
% 49.94/33.00 inference(modus_ponens,[status(thm)],[25985, 25984])).
% 49.94/33.00 tff(25987,plain,
% 49.94/33.00 (v252(constB181) | (~v197(constB181))),
% 49.94/33.00 inference(unit_resolution,[status(thm)],[25986, 9033, 25980])).
% 49.94/33.00 tff(25988,plain,
% 49.94/33.00 (v252(constB181)),
% 49.94/33.00 inference(unit_resolution,[status(thm)],[25987, 25914])).
% 49.94/33.00 tff(25989,plain,
% 49.94/33.00 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB181)) | (~v223(constB181, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB181)) | (~v223(constB181, bitIndex3)))),
% 49.94/33.00 inference(rewrite,[status(thm)],[])).
% 49.94/33.00 tff(25990,plain,
% 49.94/33.00 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB181)) | (~v223(constB181, bitIndex3)))),
% 49.94/33.00 inference(quant_inst,[status(thm)],[])).
% 49.94/33.00 tff(25991,plain,
% 49.94/33.00 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB181)) | (~v223(constB181, bitIndex3))),
% 49.94/33.00 inference(modus_ponens,[status(thm)],[25990, 25989])).
% 49.94/33.00 tff(25992,plain,
% 49.94/33.00 (~v223(constB181, bitIndex3)),
% 49.94/33.00 inference(unit_resolution,[status(thm)],[25991, 9048, 25988])).
% 49.94/33.00 tff(25993,plain,
% 49.94/33.00 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB181)) | v223(constB181, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB181)) | v223(constB181, bitIndex3))),
% 49.94/33.00 inference(rewrite,[status(thm)],[])).
% 49.94/33.00 tff(25994,plain,
% 49.94/33.00 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB181)) | v223(constB181, bitIndex3))),
% 49.94/33.00 inference(quant_inst,[status(thm)],[])).
% 49.94/33.00 tff(25995,plain,
% 49.94/33.00 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB181)) | v223(constB181, bitIndex3)),
% 49.94/33.00 inference(modus_ponens,[status(thm)],[25994, 25993])).
% 49.94/33.00 tff(25996,plain,
% 49.94/33.00 (~v237(constB181)),
% 49.94/33.00 inference(unit_resolution,[status(thm)],[25995, 9062, 25992])).
% 49.94/33.00 tff(25997,plain,
% 49.94/33.00 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v232(constB181) | v237(constB181) | (~v248(constB181)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v232(constB181) | v237(constB181) | (~v248(constB181)))),
% 49.94/33.00 inference(rewrite,[status(thm)],[])).
% 49.94/33.00 tff(25998,plain,
% 49.94/33.00 ((v237(constB181) | v232(constB181) | (~v248(constB181))) <=> (v232(constB181) | v237(constB181) | (~v248(constB181)))),
% 49.94/33.00 inference(rewrite,[status(thm)],[])).
% 49.94/33.00 tff(25999,plain,
% 49.94/33.00 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB181) | v232(constB181) | (~v248(constB181)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v232(constB181) | v237(constB181) | (~v248(constB181))))),
% 49.94/33.00 inference(monotonicity,[status(thm)],[25998])).
% 49.94/33.00 tff(26000,plain,
% 49.94/33.00 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB181) | v232(constB181) | (~v248(constB181)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v232(constB181) | v237(constB181) | (~v248(constB181)))),
% 49.94/33.00 inference(transitivity,[status(thm)],[25999, 25997])).
% 49.94/33.00 tff(26001,plain,
% 49.94/33.00 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB181) | v232(constB181) | (~v248(constB181)))),
% 49.94/33.00 inference(quant_inst,[status(thm)],[])).
% 49.94/33.00 tff(26002,plain,
% 49.94/33.00 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v232(constB181) | v237(constB181) | (~v248(constB181))),
% 49.94/33.00 inference(modus_ponens,[status(thm)],[26001, 26000])).
% 49.94/33.00 tff(26003,plain,
% 49.94/33.00 (v232(constB181) | (~v248(constB181))),
% 49.94/33.00 inference(unit_resolution,[status(thm)],[26002, 9076, 25996])).
% 49.94/33.00 tff(26004,plain,
% 49.94/33.00 (~v248(constB181)),
% 49.94/33.00 inference(unit_resolution,[status(thm)],[26003, 25965])).
% 49.94/33.00 tff(26005,plain,
% 49.94/33.00 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB181) | (~v244(constB181)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB181) | (~v244(constB181)))),
% 49.94/33.00 inference(rewrite,[status(thm)],[])).
% 49.94/33.00 tff(26006,plain,
% 49.94/33.00 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB181) | (~v244(constB181)))),
% 49.94/33.00 inference(quant_inst,[status(thm)],[])).
% 49.94/33.00 tff(26007,plain,
% 49.94/33.00 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB181) | (~v244(constB181))),
% 49.94/33.00 inference(modus_ponens,[status(thm)],[26006, 26005])).
% 49.94/33.00 tff(26008,plain,
% 49.94/33.00 (~v244(constB181)),
% 49.94/33.00 inference(unit_resolution,[status(thm)],[26007, 11335, 26004])).
% 49.94/33.00 tff(26009,plain,
% 49.94/33.00 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB181) | (~v216(constB181, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB181) | (~v216(constB181, bitIndex1)))),
% 49.94/33.00 inference(rewrite,[status(thm)],[])).
% 49.94/33.00 tff(26010,plain,
% 49.94/33.00 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB181) | (~v216(constB181, bitIndex1)))),
% 49.94/33.00 inference(quant_inst,[status(thm)],[])).
% 49.94/33.00 tff(26011,plain,
% 49.94/33.00 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB181) | (~v216(constB181, bitIndex1))),
% 49.94/33.00 inference(modus_ponens,[status(thm)],[26010, 26009])).
% 49.94/33.00 tff(26012,plain,
% 49.94/33.00 (~v216(constB181, bitIndex1)),
% 49.94/33.00 inference(unit_resolution,[status(thm)],[26011, 11346, 26008])).
% 49.94/33.00 tff(26013,plain,
% 49.94/33.00 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB181, bitIndex1) | (~v254(constB181)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB181, bitIndex1) | (~v254(constB181)))),
% 49.94/33.00 inference(rewrite,[status(thm)],[])).
% 49.94/33.00 tff(26014,plain,
% 49.94/33.00 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB181, bitIndex1) | (~v254(constB181)))),
% 49.94/33.00 inference(quant_inst,[status(thm)],[])).
% 49.94/33.00 tff(26015,plain,
% 49.94/33.00 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB181, bitIndex1) | (~v254(constB181))),
% 49.94/33.00 inference(modus_ponens,[status(thm)],[26014, 26013])).
% 49.94/33.00 tff(26016,plain,
% 49.94/33.00 (~v254(constB181)),
% 49.94/33.00 inference(unit_resolution,[status(thm)],[26015, 11357, 26012])).
% 49.94/33.00 tff(26017,plain,
% 49.94/33.00 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB181) | (~v231(constB181)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB181) | (~v231(constB181)))),
% 49.94/33.00 inference(rewrite,[status(thm)],[])).
% 49.94/33.00 tff(26018,plain,
% 49.94/33.00 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB181) | (~v231(constB181)))),
% 49.94/33.00 inference(quant_inst,[status(thm)],[])).
% 49.94/33.00 tff(26019,plain,
% 49.94/33.00 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB181) | (~v231(constB181))),
% 49.94/33.00 inference(modus_ponens,[status(thm)],[26018, 26017])).
% 49.94/33.00 tff(26020,plain,
% 49.94/33.00 (~v231(constB181)),
% 49.94/33.00 inference(unit_resolution,[status(thm)],[26019, 11162, 25996])).
% 49.94/33.00 tff(26021,plain,
% 49.94/33.00 (((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB181) | (~v221(constB181)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB181) | (~v221(constB181)))),
% 49.94/33.00 inference(rewrite,[status(thm)],[])).
% 49.94/33.00 tff(26022,plain,
% 49.94/33.00 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB181) | (~v221(constB181)))),
% 49.94/33.00 inference(quant_inst,[status(thm)],[])).
% 49.94/33.00 tff(26023,plain,
% 49.94/33.00 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB181) | (~v221(constB181))),
% 49.94/33.00 inference(modus_ponens,[status(thm)],[26022, 26021])).
% 49.94/33.00 tff(26024,plain,
% 49.94/33.00 (~v221(constB181)),
% 49.94/33.00 inference(unit_resolution,[status(thm)],[26023, 11192, 25956])).
% 49.94/33.00 tff(26025,plain,
% 49.94/33.00 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB181) | v231(constB181) | (~v243(constB181)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB181) | v231(constB181) | (~v243(constB181)))),
% 49.94/33.00 inference(rewrite,[status(thm)],[])).
% 49.94/33.00 tff(26026,plain,
% 49.94/33.00 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB181) | v231(constB181) | (~v243(constB181)))),
% 49.94/33.00 inference(quant_inst,[status(thm)],[])).
% 49.94/33.00 tff(26027,plain,
% 49.94/33.00 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB181) | v231(constB181) | (~v243(constB181))),
% 49.94/33.00 inference(modus_ponens,[status(thm)],[26026, 26025])).
% 49.94/33.00 tff(26028,plain,
% 49.94/33.00 (~v243(constB181)),
% 49.94/33.00 inference(unit_resolution,[status(thm)],[26027, 11206, 26024, 26020])).
% 49.94/33.00 tff(26029,plain,
% 49.94/33.00 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB181) | v255(constB181))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB181) | v255(constB181))),
% 49.94/33.00 inference(rewrite,[status(thm)],[])).
% 49.94/33.00 tff(26030,plain,
% 49.94/33.00 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB181) | v255(constB181))),
% 49.94/33.00 inference(quant_inst,[status(thm)],[])).
% 49.94/33.00 tff(26031,plain,
% 49.94/33.00 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB181) | v255(constB181)),
% 49.94/33.00 inference(modus_ponens,[status(thm)],[26030, 26029])).
% 49.94/33.00 tff(26032,plain,
% 49.94/33.00 (v255(constB181)),
% 49.94/33.00 inference(unit_resolution,[status(thm)],[26031, 11222, 26028])).
% 49.94/33.00 tff(26033,plain,
% 49.94/33.00 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB181)) | (~v216(constB181, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB181)) | (~v216(constB181, bitIndex2)))),
% 49.94/33.00 inference(rewrite,[status(thm)],[])).
% 49.94/33.00 tff(26034,plain,
% 49.94/33.00 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB181)) | (~v216(constB181, bitIndex2)))),
% 49.94/33.00 inference(quant_inst,[status(thm)],[])).
% 49.94/33.00 tff(26035,plain,
% 49.94/33.00 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB181)) | (~v216(constB181, bitIndex2))),
% 49.94/33.00 inference(modus_ponens,[status(thm)],[26034, 26033])).
% 49.94/33.00 tff(26036,plain,
% 49.94/33.00 (~v216(constB181, bitIndex2)),
% 49.94/33.00 inference(unit_resolution,[status(thm)],[26035, 11237, 26032])).
% 49.94/33.00 tff(26037,plain,
% 49.94/33.00 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB181)) | v254(constB181) | v216(constB181, bitIndex2))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB181)) | v254(constB181) | v216(constB181, bitIndex2))),
% 49.94/33.00 inference(rewrite,[status(thm)],[])).
% 49.94/33.00 tff(26038,plain,
% 49.94/33.00 ((v216(constB181, bitIndex2) | v254(constB181) | (~v215(constB181))) <=> ((~v215(constB181)) | v254(constB181) | v216(constB181, bitIndex2))),
% 49.94/33.00 inference(rewrite,[status(thm)],[])).
% 49.94/33.00 tff(26039,plain,
% 49.94/33.00 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB181, bitIndex2) | v254(constB181) | (~v215(constB181)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB181)) | v254(constB181) | v216(constB181, bitIndex2)))),
% 49.94/33.00 inference(monotonicity,[status(thm)],[26038])).
% 49.94/33.00 tff(26040,plain,
% 49.94/33.00 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB181, bitIndex2) | v254(constB181) | (~v215(constB181)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB181)) | v254(constB181) | v216(constB181, bitIndex2))),
% 49.94/33.00 inference(transitivity,[status(thm)],[26039, 26037])).
% 49.94/33.00 tff(26041,plain,
% 49.94/33.00 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB181, bitIndex2) | v254(constB181) | (~v215(constB181)))),
% 49.94/33.00 inference(quant_inst,[status(thm)],[])).
% 49.94/33.00 tff(26042,plain,
% 49.94/33.00 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB181)) | v254(constB181) | v216(constB181, bitIndex2)),
% 49.94/33.00 inference(modus_ponens,[status(thm)],[26041, 26040])).
% 49.94/33.00 tff(26043,plain,
% 49.94/33.00 ((~v215(constB181)) | v254(constB181)),
% 49.94/33.00 inference(unit_resolution,[status(thm)],[26042, 11278, 26036])).
% 49.94/33.00 tff(26044,plain,
% 49.94/33.00 (~v215(constB181)),
% 49.94/33.00 inference(unit_resolution,[status(thm)],[26043, 26016])).
% 49.94/33.00 tff(26045,plain,
% 49.94/33.00 ($false),
% 49.94/33.00 inference(unit_resolution,[status(thm)],[26044, 25878])).
% 49.94/33.00 tff(26046,plain,(~(constB181 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 49.94/33.00 tff(26047,assumption,(constB9 = sK0_VarCurr), introduced(assumption)).
% 49.94/33.00 tff(26048,plain,
% 49.94/33.00 (v215(constB9) <=> v215(sK0_VarCurr)),
% 49.94/33.00 inference(monotonicity,[status(thm)],[26047])).
% 49.94/33.00 tff(26049,plain,
% 49.94/33.00 (v215(sK0_VarCurr) <=> v215(constB9)),
% 49.94/33.00 inference(symmetry,[status(thm)],[26048])).
% 49.94/33.00 tff(26050,plain,
% 49.94/33.00 (v215(constB9)),
% 49.94/33.00 inference(modus_ponens,[status(thm)],[11268, 26049])).
% 49.94/33.00 tff(26051,plain,
% 49.94/33.00 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB9, bitIndex0) | (~v88(constB9, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB9, bitIndex0) | (~v88(constB9, bitIndex0)))),
% 49.94/33.00 inference(rewrite,[status(thm)],[])).
% 49.94/33.00 tff(26052,plain,
% 49.94/33.00 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB9, bitIndex0) | (~v88(constB9, bitIndex0)))),
% 49.94/33.00 inference(quant_inst,[status(thm)],[])).
% 49.94/33.00 tff(26053,plain,
% 49.94/33.00 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB9, bitIndex0) | (~v88(constB9, bitIndex0))),
% 49.94/33.00 inference(modus_ponens,[status(thm)],[26052, 26051])).
% 49.94/33.00 tff(26054,plain,
% 49.94/33.00 (~v88(constB9, bitIndex0)),
% 49.94/33.00 inference(unit_resolution,[status(thm)],[26053, 10505, 1541])).
% 49.94/33.00 tff(26055,plain,
% 49.94/33.00 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB9, bitIndex2) | (~v88(constB9, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB9, bitIndex2) | (~v88(constB9, bitIndex2)))),
% 49.94/33.00 inference(rewrite,[status(thm)],[])).
% 49.94/33.00 tff(26056,plain,
% 49.94/33.00 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB9, bitIndex2) | (~v88(constB9, bitIndex2)))),
% 49.94/33.00 inference(quant_inst,[status(thm)],[])).
% 49.94/33.00 tff(26057,plain,
% 49.94/33.00 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB9, bitIndex2) | (~v88(constB9, bitIndex2))),
% 49.94/33.00 inference(modus_ponens,[status(thm)],[26056, 26055])).
% 49.94/33.00 tff(26058,plain,
% 49.94/33.00 (~v88(constB9, bitIndex2)),
% 49.94/33.00 inference(unit_resolution,[status(thm)],[26057, 8769, 1440])).
% 49.94/33.00 tff(26059,plain,
% 49.94/33.00 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB9, bitIndex1)) | v88(constB9, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB9, bitIndex1)) | v88(constB9, bitIndex1))),
% 49.94/33.00 inference(rewrite,[status(thm)],[])).
% 49.94/33.00 tff(26060,plain,
% 49.94/33.00 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB9, bitIndex1)) | v88(constB9, bitIndex1))),
% 49.94/33.00 inference(quant_inst,[status(thm)],[])).
% 49.94/33.00 tff(26061,plain,
% 49.94/33.00 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB9, bitIndex1)) | v88(constB9, bitIndex1)),
% 49.94/33.00 inference(modus_ponens,[status(thm)],[26060, 26059])).
% 49.94/33.00 tff(26062,plain,
% 49.94/33.00 (v88(constB9, bitIndex1)),
% 49.94/33.00 inference(unit_resolution,[status(thm)],[26061, 8707, 1481])).
% 49.94/33.00 tff(26063,plain,
% 49.94/33.00 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB9, bitIndex0) | v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)) | v143(constB9))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB9, bitIndex0) | v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)) | v143(constB9))),
% 49.94/33.00 inference(rewrite,[status(thm)],[])).
% 49.94/33.00 tff(26064,plain,
% 49.94/33.00 ((v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)) | v88(constB9, bitIndex0) | v143(constB9)) <=> (v88(constB9, bitIndex0) | v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)) | v143(constB9))),
% 49.94/33.00 inference(rewrite,[status(thm)],[])).
% 49.94/33.00 tff(26065,plain,
% 49.94/33.00 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)) | v88(constB9, bitIndex0) | v143(constB9))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB9, bitIndex0) | v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)) | v143(constB9)))),
% 49.94/33.00 inference(monotonicity,[status(thm)],[26064])).
% 49.94/33.00 tff(26066,plain,
% 49.94/33.00 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)) | v88(constB9, bitIndex0) | v143(constB9))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB9, bitIndex0) | v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)) | v143(constB9))),
% 49.94/33.00 inference(transitivity,[status(thm)],[26065, 26063])).
% 49.94/33.00 tff(26067,plain,
% 49.94/33.00 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)) | v88(constB9, bitIndex0) | v143(constB9))),
% 49.94/33.00 inference(quant_inst,[status(thm)],[])).
% 49.94/33.00 tff(26068,plain,
% 49.94/33.00 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB9, bitIndex0) | v88(constB9, bitIndex2) | (~v88(constB9, bitIndex1)) | v143(constB9)),
% 49.94/33.00 inference(modus_ponens,[status(thm)],[26067, 26066])).
% 49.94/33.00 tff(26069,plain,
% 49.94/33.00 (v143(constB9)),
% 49.94/33.00 inference(unit_resolution,[status(thm)],[26068, 10523, 26062, 26058, 26054])).
% 49.94/33.00 tff(26070,plain,
% 49.94/33.00 (((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB9) | (~v143(constB9)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB9) | (~v143(constB9)))),
% 49.94/33.00 inference(rewrite,[status(thm)],[])).
% 49.94/33.00 tff(26071,plain,
% 49.94/33.00 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB9) | (~v143(constB9)))),
% 49.94/33.00 inference(quant_inst,[status(thm)],[])).
% 49.94/33.00 tff(26072,plain,
% 49.94/33.00 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB9) | (~v143(constB9))),
% 49.94/33.00 inference(modus_ponens,[status(thm)],[26071, 26070])).
% 49.94/33.00 tff(26073,plain,
% 49.94/33.00 (v142(constB9)),
% 49.94/33.00 inference(unit_resolution,[status(thm)],[26072, 10537, 26069])).
% 49.94/33.00 tff(26074,plain,
% 49.94/33.00 (((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB9) | (~v142(constB9)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB9) | (~v142(constB9)))),
% 49.94/33.00 inference(rewrite,[status(thm)],[])).
% 49.94/33.00 tff(26075,plain,
% 49.94/33.00 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB9) | (~v142(constB9)))),
% 49.94/33.00 inference(quant_inst,[status(thm)],[])).
% 49.94/33.00 tff(26076,plain,
% 49.94/33.00 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB9) | (~v142(constB9))),
% 49.94/33.00 inference(modus_ponens,[status(thm)],[26075, 26074])).
% 49.94/33.00 tff(26077,plain,
% 49.94/33.00 (v198(constB9)),
% 49.94/33.00 inference(unit_resolution,[status(thm)],[26076, 10548, 26073])).
% 49.94/33.00 tff(26078,plain,
% 49.94/33.00 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB9)) | (~v201(constB9)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB9)) | (~v201(constB9)))),
% 49.94/33.00 inference(rewrite,[status(thm)],[])).
% 49.94/33.00 tff(26079,plain,
% 49.94/33.00 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB9)) | (~v201(constB9)))),
% 49.94/33.00 inference(quant_inst,[status(thm)],[])).
% 49.94/33.00 tff(26080,plain,
% 49.94/33.00 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB9)) | (~v201(constB9))),
% 49.94/33.00 inference(modus_ponens,[status(thm)],[26079, 26078])).
% 49.94/33.00 tff(26081,plain,
% 49.94/33.00 (~v201(constB9)),
% 49.94/33.00 inference(unit_resolution,[status(thm)],[26080, 8823, 26077])).
% 49.94/33.00 tff(26082,plain,
% 49.94/33.00 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB9) | (~v198(constB9)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB9) | (~v198(constB9)))),
% 49.94/33.00 inference(rewrite,[status(thm)],[])).
% 49.94/33.00 tff(26083,plain,
% 49.94/33.00 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB9) | (~v198(constB9)))),
% 49.94/33.00 inference(quant_inst,[status(thm)],[])).
% 49.94/33.00 tff(26084,plain,
% 49.94/33.00 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB9) | (~v198(constB9))),
% 49.94/33.00 inference(modus_ponens,[status(thm)],[26083, 26082])).
% 49.94/33.00 tff(26085,plain,
% 49.94/33.00 (v197(constB9)),
% 49.94/33.00 inference(unit_resolution,[status(thm)],[26084, 8834, 26077])).
% 49.94/33.00 tff(26086,plain,
% 49.94/33.00 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB9) | (~v197(constB9)) | v201(constB9))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB9) | (~v197(constB9)) | v201(constB9))),
% 49.94/33.00 inference(rewrite,[status(thm)],[])).
% 49.94/33.00 tff(26087,plain,
% 49.94/33.00 (((~v197(constB9)) | v201(constB9) | v227(constB9)) <=> (v227(constB9) | (~v197(constB9)) | v201(constB9))),
% 49.94/33.00 inference(rewrite,[status(thm)],[])).
% 49.94/33.00 tff(26088,plain,
% 49.94/33.00 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB9)) | v201(constB9) | v227(constB9))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB9) | (~v197(constB9)) | v201(constB9)))),
% 49.94/33.00 inference(monotonicity,[status(thm)],[26087])).
% 49.94/33.00 tff(26089,plain,
% 49.94/33.00 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB9)) | v201(constB9) | v227(constB9))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB9) | (~v197(constB9)) | v201(constB9))),
% 49.94/33.00 inference(transitivity,[status(thm)],[26088, 26086])).
% 49.94/33.00 tff(26090,plain,
% 49.94/33.00 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB9)) | v201(constB9) | v227(constB9))),
% 49.94/33.00 inference(quant_inst,[status(thm)],[])).
% 49.94/33.00 tff(26091,plain,
% 49.94/33.00 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB9) | (~v197(constB9)) | v201(constB9)),
% 49.94/33.00 inference(modus_ponens,[status(thm)],[26090, 26089])).
% 49.94/33.00 tff(26092,plain,
% 49.94/33.00 (v227(constB9)),
% 49.94/33.00 inference(unit_resolution,[status(thm)],[26091, 8848, 26085, 26081])).
% 49.94/33.00 tff(26093,plain,
% 49.94/33.00 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB9)) | (~v223(constB9, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB9)) | (~v223(constB9, bitIndex0)))),
% 49.94/33.00 inference(rewrite,[status(thm)],[])).
% 49.94/33.00 tff(26094,plain,
% 49.94/33.00 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB9)) | (~v223(constB9, bitIndex0)))),
% 49.94/33.00 inference(quant_inst,[status(thm)],[])).
% 49.94/33.00 tff(26095,plain,
% 49.94/33.00 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB9)) | (~v223(constB9, bitIndex0))),
% 49.94/33.00 inference(modus_ponens,[status(thm)],[26094, 26093])).
% 49.94/33.00 tff(26096,plain,
% 49.94/33.00 (~v223(constB9, bitIndex0)),
% 49.94/33.00 inference(unit_resolution,[status(thm)],[26095, 8862, 26092])).
% 49.94/33.00 tff(26097,plain,
% 49.94/33.00 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB9, bitIndex0) | (~v222(constB9)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | v223(constB9, bitIndex0) | (~v222(constB9)))),
% 49.94/33.00 inference(rewrite,[status(thm)],[])).
% 49.94/33.00 tff(26098,plain,
% 49.94/33.00 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB9, bitIndex0) | (~v222(constB9)))),
% 49.94/33.00 inference(quant_inst,[status(thm)],[])).
% 49.94/33.00 tff(26099,plain,
% 49.94/33.00 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | v223(constB9, bitIndex0) | (~v222(constB9))),
% 49.94/33.00 inference(modus_ponens,[status(thm)],[26098, 26097])).
% 49.94/33.00 tff(26100,plain,
% 49.94/33.00 (~v222(constB9)),
% 49.94/33.00 inference(unit_resolution,[status(thm)],[26099, 10578, 26096])).
% 49.94/33.00 tff(26101,plain,
% 49.94/33.00 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB9, bitIndex1)) | (~v139(constB9)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB9, bitIndex1)) | (~v139(constB9)))),
% 49.94/33.00 inference(rewrite,[status(thm)],[])).
% 49.94/33.00 tff(26102,plain,
% 49.94/33.00 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB9, bitIndex1)) | (~v139(constB9)))),
% 49.94/33.00 inference(quant_inst,[status(thm)],[])).
% 49.94/33.00 tff(26103,plain,
% 49.94/33.00 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB9, bitIndex1)) | (~v139(constB9))),
% 49.94/33.00 inference(modus_ponens,[status(thm)],[26102, 26101])).
% 49.94/33.00 tff(26104,plain,
% 49.94/33.00 (~v139(constB9)),
% 49.94/33.00 inference(unit_resolution,[status(thm)],[26103, 10589, 26062])).
% 49.94/33.00 tff(26105,plain,
% 49.94/33.00 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB9, bitIndex1)) | (~v140(constB9)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB9, bitIndex1)) | (~v140(constB9)))),
% 49.94/33.00 inference(rewrite,[status(thm)],[])).
% 49.94/33.00 tff(26106,plain,
% 49.94/33.00 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB9, bitIndex1)) | (~v140(constB9)))),
% 49.94/33.00 inference(quant_inst,[status(thm)],[])).
% 49.94/33.00 tff(26107,plain,
% 49.94/33.00 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB9, bitIndex1)) | (~v140(constB9))),
% 49.94/33.00 inference(modus_ponens,[status(thm)],[26106, 26105])).
% 49.94/33.00 tff(26108,plain,
% 49.94/33.00 (~v140(constB9)),
% 49.94/33.00 inference(unit_resolution,[status(thm)],[26107, 9002, 26062])).
% 49.94/33.00 tff(26109,plain,
% 49.94/33.00 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB9) | v139(constB9) | (~v200(constB9)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB9) | v139(constB9) | (~v200(constB9)))),
% 49.94/33.00 inference(rewrite,[status(thm)],[])).
% 49.94/33.00 tff(26110,plain,
% 49.94/33.00 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB9) | v139(constB9) | (~v200(constB9)))),
% 49.94/33.00 inference(quant_inst,[status(thm)],[])).
% 49.94/33.00 tff(26111,plain,
% 49.94/33.00 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB9) | v139(constB9) | (~v200(constB9))),
% 49.94/33.00 inference(modus_ponens,[status(thm)],[26110, 26109])).
% 49.94/33.00 tff(26112,plain,
% 49.94/33.00 (~v200(constB9)),
% 49.94/33.00 inference(unit_resolution,[status(thm)],[26111, 10610, 26108, 26104])).
% 49.94/33.00 tff(26113,plain,
% 49.94/33.00 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB9, bitIndex0) | (~v141(constB9)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB9, bitIndex0) | (~v141(constB9)))),
% 49.94/33.00 inference(rewrite,[status(thm)],[])).
% 49.94/33.00 tff(26114,plain,
% 49.94/33.00 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB9, bitIndex0) | (~v141(constB9)))),
% 49.94/33.00 inference(quant_inst,[status(thm)],[])).
% 49.94/33.00 tff(26115,plain,
% 49.94/33.00 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB9, bitIndex0) | (~v141(constB9))),
% 49.94/33.00 inference(modus_ponens,[status(thm)],[26114, 26113])).
% 49.94/33.00 tff(26116,plain,
% 49.94/33.00 (~v141(constB9)),
% 49.94/33.00 inference(unit_resolution,[status(thm)],[26115, 10624, 26054])).
% 49.94/33.00 tff(26117,plain,
% 49.94/33.00 (((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB9) | v200(constB9) | (~v166(constB9)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB9) | v200(constB9) | (~v166(constB9)))),
% 49.94/33.00 inference(rewrite,[status(thm)],[])).
% 49.94/33.00 tff(26118,plain,
% 49.94/33.00 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB9) | v200(constB9) | (~v166(constB9)))),
% 49.94/33.00 inference(quant_inst,[status(thm)],[])).
% 49.94/33.00 tff(26119,plain,
% 49.94/33.00 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB9) | v200(constB9) | (~v166(constB9))),
% 49.94/33.00 inference(modus_ponens,[status(thm)],[26118, 26117])).
% 49.94/33.00 tff(26120,plain,
% 49.94/33.00 (~v166(constB9)),
% 49.94/33.00 inference(unit_resolution,[status(thm)],[26119, 10638, 26116, 26112])).
% 49.94/33.00 tff(26121,plain,
% 49.94/33.00 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB9) | v166(constB9) | (~v197(constB9)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB9) | v166(constB9) | (~v197(constB9)))),
% 49.94/33.00 inference(rewrite,[status(thm)],[])).
% 49.94/33.00 tff(26122,plain,
% 49.94/33.00 (((~v197(constB9)) | v166(constB9) | v241(constB9)) <=> (v241(constB9) | v166(constB9) | (~v197(constB9)))),
% 49.94/33.00 inference(rewrite,[status(thm)],[])).
% 49.94/33.00 tff(26123,plain,
% 49.94/33.00 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB9)) | v166(constB9) | v241(constB9))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB9) | v166(constB9) | (~v197(constB9))))),
% 49.94/33.00 inference(monotonicity,[status(thm)],[26122])).
% 49.94/33.00 tff(26124,plain,
% 49.94/33.00 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB9)) | v166(constB9) | v241(constB9))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB9) | v166(constB9) | (~v197(constB9)))),
% 49.96/33.00 inference(transitivity,[status(thm)],[26123, 26121])).
% 49.96/33.00 tff(26125,plain,
% 49.96/33.00 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB9)) | v166(constB9) | v241(constB9))),
% 49.96/33.00 inference(quant_inst,[status(thm)],[])).
% 49.96/33.00 tff(26126,plain,
% 49.96/33.00 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB9) | v166(constB9) | (~v197(constB9))),
% 49.96/33.00 inference(modus_ponens,[status(thm)],[26125, 26124])).
% 49.96/33.00 tff(26127,plain,
% 49.96/33.00 (v241(constB9) | (~v197(constB9))),
% 49.96/33.00 inference(unit_resolution,[status(thm)],[26126, 10277, 26120])).
% 49.96/33.00 tff(26128,plain,
% 49.96/33.00 (v241(constB9)),
% 49.96/33.00 inference(unit_resolution,[status(thm)],[26127, 26085])).
% 49.96/33.00 tff(26129,plain,
% 49.96/33.00 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB9)) | (~v223(constB9, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB9)) | (~v223(constB9, bitIndex2)))),
% 49.96/33.00 inference(rewrite,[status(thm)],[])).
% 49.96/33.00 tff(26130,plain,
% 49.96/33.00 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB9)) | (~v223(constB9, bitIndex2)))),
% 49.96/33.00 inference(quant_inst,[status(thm)],[])).
% 49.96/33.00 tff(26131,plain,
% 49.96/33.00 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB9)) | (~v223(constB9, bitIndex2))),
% 49.96/33.00 inference(modus_ponens,[status(thm)],[26130, 26129])).
% 49.96/33.00 tff(26132,plain,
% 49.96/33.00 (~v223(constB9, bitIndex2)),
% 49.96/33.00 inference(unit_resolution,[status(thm)],[26131, 10292, 26128])).
% 49.96/33.00 tff(26133,plain,
% 49.96/33.00 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB9)) | v223(constB9, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB9)) | v223(constB9, bitIndex2))),
% 49.96/33.00 inference(rewrite,[status(thm)],[])).
% 49.96/33.00 tff(26134,plain,
% 49.96/33.00 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB9)) | v223(constB9, bitIndex2))),
% 49.96/33.00 inference(quant_inst,[status(thm)],[])).
% 49.96/33.00 tff(26135,plain,
% 49.96/33.00 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB9)) | v223(constB9, bitIndex2)),
% 49.96/33.00 inference(modus_ponens,[status(thm)],[26134, 26133])).
% 49.96/33.00 tff(26136,plain,
% 49.96/33.00 (~v224(constB9)),
% 49.96/33.00 inference(unit_resolution,[status(thm)],[26135, 10343, 26132])).
% 49.96/33.00 tff(26137,plain,
% 49.96/33.00 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB9) | v224(constB9) | (~v236(constB9)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB9) | v224(constB9) | (~v236(constB9)))),
% 49.96/33.00 inference(rewrite,[status(thm)],[])).
% 49.96/33.00 tff(26138,plain,
% 49.96/33.00 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB9) | v224(constB9) | (~v236(constB9)))),
% 49.96/33.00 inference(quant_inst,[status(thm)],[])).
% 49.96/33.00 tff(26139,plain,
% 49.96/33.00 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB9) | v224(constB9) | (~v236(constB9))),
% 49.96/33.00 inference(modus_ponens,[status(thm)],[26138, 26137])).
% 49.96/33.00 tff(26140,plain,
% 49.96/33.00 (~v236(constB9)),
% 49.96/33.00 inference(unit_resolution,[status(thm)],[26139, 8968, 26136, 26100])).
% 49.96/33.00 tff(26141,plain,
% 49.96/33.00 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB9) | (~v232(constB9)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB9) | (~v232(constB9)))),
% 49.96/33.00 inference(rewrite,[status(thm)],[])).
% 49.96/33.00 tff(26142,plain,
% 49.96/33.00 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB9) | (~v232(constB9)))),
% 49.96/33.00 inference(quant_inst,[status(thm)],[])).
% 49.96/33.00 tff(26143,plain,
% 49.96/33.00 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB9) | (~v232(constB9))),
% 49.96/33.00 inference(modus_ponens,[status(thm)],[26142, 26141])).
% 49.96/33.00 tff(26144,plain,
% 49.96/33.00 (~v232(constB9)),
% 49.96/33.00 inference(unit_resolution,[status(thm)],[26143, 8980, 26140])).
% 49.96/33.00 tff(26145,plain,
% 49.96/33.00 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB9) | v139(constB9) | (~v148(constB9)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB9) | v139(constB9) | (~v148(constB9)))),
% 49.96/33.01 inference(rewrite,[status(thm)],[])).
% 49.96/33.01 tff(26146,plain,
% 49.96/33.01 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB9) | v139(constB9) | (~v148(constB9)))),
% 49.96/33.01 inference(quant_inst,[status(thm)],[])).
% 49.96/33.01 tff(26147,plain,
% 49.96/33.01 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB9) | v139(constB9) | (~v148(constB9))),
% 49.96/33.01 inference(modus_ponens,[status(thm)],[26146, 26145])).
% 49.96/33.01 tff(26148,plain,
% 49.96/33.01 (~v148(constB9)),
% 49.96/33.01 inference(unit_resolution,[status(thm)],[26147, 9016, 26108, 26104])).
% 49.96/33.01 tff(26149,plain,
% 49.96/33.01 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB9) | v148(constB9) | (~v197(constB9)))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB9) | v148(constB9) | (~v197(constB9)))),
% 49.96/33.01 inference(rewrite,[status(thm)],[])).
% 49.96/33.01 tff(26150,plain,
% 49.96/33.01 ((v148(constB9) | (~v197(constB9)) | v252(constB9)) <=> (v252(constB9) | v148(constB9) | (~v197(constB9)))),
% 49.96/33.01 inference(rewrite,[status(thm)],[])).
% 49.96/33.01 tff(26151,plain,
% 49.96/33.01 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB9) | (~v197(constB9)) | v252(constB9))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB9) | v148(constB9) | (~v197(constB9))))),
% 49.96/33.01 inference(monotonicity,[status(thm)],[26150])).
% 49.96/33.01 tff(26152,plain,
% 49.96/33.01 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB9) | (~v197(constB9)) | v252(constB9))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB9) | v148(constB9) | (~v197(constB9)))),
% 49.96/33.01 inference(transitivity,[status(thm)],[26151, 26149])).
% 49.96/33.01 tff(26153,plain,
% 49.96/33.01 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB9) | (~v197(constB9)) | v252(constB9))),
% 49.96/33.01 inference(quant_inst,[status(thm)],[])).
% 49.96/33.01 tff(26154,plain,
% 49.96/33.01 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB9) | v148(constB9) | (~v197(constB9))),
% 49.96/33.01 inference(modus_ponens,[status(thm)],[26153, 26152])).
% 49.96/33.01 tff(26155,plain,
% 49.96/33.01 (v252(constB9) | (~v197(constB9))),
% 49.96/33.01 inference(unit_resolution,[status(thm)],[26154, 9033, 26148])).
% 49.96/33.01 tff(26156,plain,
% 49.96/33.01 (v252(constB9)),
% 49.96/33.01 inference(unit_resolution,[status(thm)],[26155, 26085])).
% 49.96/33.01 tff(26157,plain,
% 49.96/33.01 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB9)) | (~v223(constB9, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB9)) | (~v223(constB9, bitIndex3)))),
% 49.96/33.01 inference(rewrite,[status(thm)],[])).
% 49.96/33.01 tff(26158,plain,
% 49.96/33.01 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB9)) | (~v223(constB9, bitIndex3)))),
% 49.96/33.01 inference(quant_inst,[status(thm)],[])).
% 49.96/33.01 tff(26159,plain,
% 49.96/33.01 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB9)) | (~v223(constB9, bitIndex3))),
% 49.96/33.01 inference(modus_ponens,[status(thm)],[26158, 26157])).
% 49.96/33.01 tff(26160,plain,
% 49.96/33.01 (~v223(constB9, bitIndex3)),
% 49.96/33.01 inference(unit_resolution,[status(thm)],[26159, 9048, 26156])).
% 49.96/33.01 tff(26161,plain,
% 49.96/33.01 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB9)) | v223(constB9, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB9)) | v223(constB9, bitIndex3))),
% 49.96/33.01 inference(rewrite,[status(thm)],[])).
% 49.96/33.01 tff(26162,plain,
% 49.96/33.01 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB9)) | v223(constB9, bitIndex3))),
% 49.96/33.01 inference(quant_inst,[status(thm)],[])).
% 49.96/33.01 tff(26163,plain,
% 49.96/33.01 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB9)) | v223(constB9, bitIndex3)),
% 49.96/33.01 inference(modus_ponens,[status(thm)],[26162, 26161])).
% 49.96/33.01 tff(26164,plain,
% 49.96/33.01 (~v237(constB9)),
% 49.96/33.01 inference(unit_resolution,[status(thm)],[26163, 9062, 26160])).
% 49.96/33.01 tff(26165,plain,
% 49.96/33.01 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB9) | (~v248(constB9)) | v232(constB9))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB9) | (~v248(constB9)) | v232(constB9))),
% 49.96/33.01 inference(rewrite,[status(thm)],[])).
% 49.96/33.01 tff(26166,plain,
% 49.96/33.01 ((v237(constB9) | v232(constB9) | (~v248(constB9))) <=> (v237(constB9) | (~v248(constB9)) | v232(constB9))),
% 49.96/33.01 inference(rewrite,[status(thm)],[])).
% 49.96/33.01 tff(26167,plain,
% 49.96/33.01 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB9) | v232(constB9) | (~v248(constB9)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB9) | (~v248(constB9)) | v232(constB9)))),
% 49.96/33.01 inference(monotonicity,[status(thm)],[26166])).
% 49.96/33.01 tff(26168,plain,
% 49.96/33.01 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB9) | v232(constB9) | (~v248(constB9)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB9) | (~v248(constB9)) | v232(constB9))),
% 49.96/33.01 inference(transitivity,[status(thm)],[26167, 26165])).
% 49.96/33.01 tff(26169,plain,
% 49.96/33.01 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB9) | v232(constB9) | (~v248(constB9)))),
% 49.96/33.01 inference(quant_inst,[status(thm)],[])).
% 49.96/33.01 tff(26170,plain,
% 49.96/33.01 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB9) | (~v248(constB9)) | v232(constB9)),
% 49.96/33.01 inference(modus_ponens,[status(thm)],[26169, 26168])).
% 49.96/33.01 tff(26171,plain,
% 49.96/33.01 ((~v248(constB9)) | v232(constB9)),
% 49.96/33.01 inference(unit_resolution,[status(thm)],[26170, 9076, 26164])).
% 49.96/33.01 tff(26172,plain,
% 49.96/33.01 (~v248(constB9)),
% 49.96/33.01 inference(unit_resolution,[status(thm)],[26171, 26144])).
% 49.96/33.01 tff(26173,plain,
% 49.96/33.01 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB9) | (~v244(constB9)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB9) | (~v244(constB9)))),
% 49.96/33.01 inference(rewrite,[status(thm)],[])).
% 49.96/33.01 tff(26174,plain,
% 49.96/33.01 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB9) | (~v244(constB9)))),
% 49.96/33.01 inference(quant_inst,[status(thm)],[])).
% 49.96/33.01 tff(26175,plain,
% 49.96/33.01 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB9) | (~v244(constB9))),
% 49.96/33.01 inference(modus_ponens,[status(thm)],[26174, 26173])).
% 49.96/33.01 tff(26176,plain,
% 49.96/33.01 (~v244(constB9)),
% 49.96/33.01 inference(unit_resolution,[status(thm)],[26175, 11335, 26172])).
% 49.96/33.01 tff(26177,plain,
% 49.96/33.01 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB9) | (~v216(constB9, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB9) | (~v216(constB9, bitIndex1)))),
% 49.96/33.01 inference(rewrite,[status(thm)],[])).
% 49.96/33.01 tff(26178,plain,
% 49.96/33.01 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB9) | (~v216(constB9, bitIndex1)))),
% 49.96/33.01 inference(quant_inst,[status(thm)],[])).
% 49.96/33.01 tff(26179,plain,
% 49.96/33.01 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB9) | (~v216(constB9, bitIndex1))),
% 49.96/33.01 inference(modus_ponens,[status(thm)],[26178, 26177])).
% 49.96/33.01 tff(26180,plain,
% 49.96/33.01 (~v216(constB9, bitIndex1)),
% 49.96/33.01 inference(unit_resolution,[status(thm)],[26179, 11346, 26176])).
% 49.96/33.01 tff(26181,plain,
% 49.96/33.01 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB9, bitIndex1) | (~v254(constB9)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB9, bitIndex1) | (~v254(constB9)))),
% 49.96/33.01 inference(rewrite,[status(thm)],[])).
% 49.96/33.01 tff(26182,plain,
% 49.96/33.01 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB9, bitIndex1) | (~v254(constB9)))),
% 49.96/33.01 inference(quant_inst,[status(thm)],[])).
% 49.96/33.01 tff(26183,plain,
% 49.96/33.01 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB9, bitIndex1) | (~v254(constB9))),
% 49.96/33.01 inference(modus_ponens,[status(thm)],[26182, 26181])).
% 49.96/33.01 tff(26184,plain,
% 49.96/33.01 (~v254(constB9)),
% 49.96/33.01 inference(unit_resolution,[status(thm)],[26183, 11357, 26180])).
% 49.96/33.01 tff(26185,plain,
% 49.96/33.01 (((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB9) | (~v221(constB9)))) <=> ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB9) | (~v221(constB9)))),
% 49.96/33.01 inference(rewrite,[status(thm)],[])).
% 49.96/33.01 tff(26186,plain,
% 49.96/33.01 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB9) | (~v221(constB9)))),
% 49.96/33.01 inference(quant_inst,[status(thm)],[])).
% 49.96/33.01 tff(26187,plain,
% 49.96/33.01 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB9) | (~v221(constB9))),
% 49.96/33.01 inference(modus_ponens,[status(thm)],[26186, 26185])).
% 49.96/33.01 tff(26188,plain,
% 49.96/33.01 (~v221(constB9)),
% 49.96/33.01 inference(unit_resolution,[status(thm)],[26187, 11505, 26136])).
% 49.96/33.01 tff(26189,plain,
% 49.96/33.01 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB9) | (~v231(constB9)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB9) | (~v231(constB9)))),
% 49.96/33.01 inference(rewrite,[status(thm)],[])).
% 49.96/33.01 tff(26190,plain,
% 49.96/33.01 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB9) | (~v231(constB9)))),
% 49.96/33.01 inference(quant_inst,[status(thm)],[])).
% 49.96/33.01 tff(26191,plain,
% 49.96/33.01 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB9) | (~v231(constB9))),
% 49.96/33.01 inference(modus_ponens,[status(thm)],[26190, 26189])).
% 49.96/33.01 tff(26192,plain,
% 49.96/33.01 (~v231(constB9)),
% 49.96/33.01 inference(unit_resolution,[status(thm)],[26191, 11162, 26164])).
% 49.96/33.01 tff(26193,plain,
% 49.96/33.01 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB9) | v231(constB9) | (~v243(constB9)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB9) | v231(constB9) | (~v243(constB9)))),
% 49.96/33.01 inference(rewrite,[status(thm)],[])).
% 49.96/33.01 tff(26194,plain,
% 49.96/33.01 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB9) | v231(constB9) | (~v243(constB9)))),
% 49.96/33.01 inference(quant_inst,[status(thm)],[])).
% 49.96/33.01 tff(26195,plain,
% 49.96/33.01 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB9) | v231(constB9) | (~v243(constB9))),
% 49.96/33.01 inference(modus_ponens,[status(thm)],[26194, 26193])).
% 49.96/33.01 tff(26196,plain,
% 49.96/33.01 (~v243(constB9)),
% 49.96/33.01 inference(unit_resolution,[status(thm)],[26195, 11206, 26192, 26188])).
% 49.96/33.01 tff(26197,plain,
% 49.96/33.01 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB9) | v255(constB9))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB9) | v255(constB9))),
% 49.96/33.01 inference(rewrite,[status(thm)],[])).
% 49.96/33.01 tff(26198,plain,
% 49.96/33.01 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB9) | v255(constB9))),
% 49.96/33.01 inference(quant_inst,[status(thm)],[])).
% 49.96/33.01 tff(26199,plain,
% 49.96/33.01 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB9) | v255(constB9)),
% 49.96/33.01 inference(modus_ponens,[status(thm)],[26198, 26197])).
% 49.96/33.01 tff(26200,plain,
% 49.96/33.01 (v255(constB9)),
% 49.96/33.01 inference(unit_resolution,[status(thm)],[26199, 11222, 26196])).
% 49.96/33.01 tff(26201,plain,
% 49.96/33.01 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB9)) | (~v216(constB9, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB9)) | (~v216(constB9, bitIndex2)))),
% 49.96/33.01 inference(rewrite,[status(thm)],[])).
% 49.96/33.01 tff(26202,plain,
% 49.96/33.01 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB9)) | (~v216(constB9, bitIndex2)))),
% 49.96/33.01 inference(quant_inst,[status(thm)],[])).
% 49.96/33.01 tff(26203,plain,
% 49.96/33.01 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB9)) | (~v216(constB9, bitIndex2))),
% 49.96/33.01 inference(modus_ponens,[status(thm)],[26202, 26201])).
% 49.96/33.01 tff(26204,plain,
% 49.96/33.01 (~v216(constB9, bitIndex2)),
% 49.96/33.01 inference(unit_resolution,[status(thm)],[26203, 11237, 26200])).
% 49.96/33.01 tff(26205,plain,
% 49.96/33.01 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB9, bitIndex2) | v254(constB9) | (~v215(constB9)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB9, bitIndex2) | v254(constB9) | (~v215(constB9)))),
% 49.96/33.01 inference(rewrite,[status(thm)],[])).
% 49.96/33.01 tff(26206,plain,
% 49.96/33.01 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB9, bitIndex2) | v254(constB9) | (~v215(constB9)))),
% 49.96/33.01 inference(quant_inst,[status(thm)],[])).
% 49.96/33.01 tff(26207,plain,
% 49.96/33.01 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB9, bitIndex2) | v254(constB9) | (~v215(constB9))),
% 49.96/33.01 inference(modus_ponens,[status(thm)],[26206, 26205])).
% 49.96/33.01 tff(26208,plain,
% 49.96/33.01 (v254(constB9) | (~v215(constB9))),
% 49.96/33.01 inference(unit_resolution,[status(thm)],[26207, 11278, 26204])).
% 49.96/33.01 tff(26209,plain,
% 49.96/33.01 (~v215(constB9)),
% 49.96/33.01 inference(unit_resolution,[status(thm)],[26208, 26184])).
% 49.96/33.01 tff(26210,plain,
% 49.96/33.01 ($false),
% 49.96/33.01 inference(unit_resolution,[status(thm)],[26209, 26050])).
% 49.96/33.01 tff(26211,plain,(~(constB9 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 49.96/33.01 tff(26212,assumption,(constB79 = sK0_VarCurr), introduced(assumption)).
% 49.96/33.01 tff(26213,plain,
% 49.96/33.01 (v215(constB79) <=> v215(sK0_VarCurr)),
% 49.96/33.01 inference(monotonicity,[status(thm)],[26212])).
% 49.96/33.01 tff(26214,plain,
% 49.96/33.01 (v215(sK0_VarCurr) <=> v215(constB79)),
% 49.96/33.01 inference(symmetry,[status(thm)],[26213])).
% 49.96/33.01 tff(26215,plain,
% 49.96/33.01 (v215(constB79)),
% 49.96/33.01 inference(modus_ponens,[status(thm)],[11268, 26214])).
% 49.96/33.01 tff(26216,plain,
% 49.96/33.01 (((~![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)))),
% 49.96/33.01 inference(rewrite,[status(thm)],[])).
% 49.96/33.01 tff(26217,plain,
% 49.96/33.01 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB79, bitIndex2) | (~v88(constB79, bitIndex2)))),
% 49.96/33.01 inference(quant_inst,[status(thm)],[])).
% 49.96/33.01 tff(26218,plain,
% 49.96/33.01 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB79, bitIndex2) | (~v88(constB79, bitIndex2))),
% 49.96/33.01 inference(modus_ponens,[status(thm)],[26217, 26216])).
% 49.96/33.01 tff(26219,plain,
% 49.96/33.01 (~v88(constB79, bitIndex2)),
% 49.96/33.01 inference(unit_resolution,[status(thm)],[26218, 8769, 12439])).
% 49.96/33.01 tff(26220,plain,
% 49.96/33.01 (((~![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)))),
% 49.96/33.01 inference(rewrite,[status(thm)],[])).
% 49.96/33.01 tff(26221,plain,
% 49.96/33.01 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB79, bitIndex0) | (~v88(constB79, bitIndex0)))),
% 49.96/33.01 inference(quant_inst,[status(thm)],[])).
% 49.96/33.01 tff(26222,plain,
% 49.96/33.01 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB79, bitIndex0) | (~v88(constB79, bitIndex0))),
% 49.96/33.01 inference(modus_ponens,[status(thm)],[26221, 26220])).
% 49.96/33.01 tff(26223,plain,
% 49.96/33.01 (~v88(constB79, bitIndex0)),
% 49.96/33.01 inference(unit_resolution,[status(thm)],[26222, 10505, 12504])).
% 49.96/33.01 tff(26224,plain,
% 49.96/33.01 (((~![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))),
% 49.96/33.01 inference(rewrite,[status(thm)],[])).
% 49.96/33.01 tff(26225,plain,
% 49.96/33.01 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB79, bitIndex1)) | v88(constB79, bitIndex1))),
% 49.96/33.01 inference(quant_inst,[status(thm)],[])).
% 49.96/33.01 tff(26226,plain,
% 49.96/33.01 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB79, bitIndex1)) | v88(constB79, bitIndex1)),
% 49.96/33.01 inference(modus_ponens,[status(thm)],[26225, 26224])).
% 49.96/33.01 tff(26227,plain,
% 49.96/33.01 (v88(constB79, bitIndex1)),
% 49.96/33.01 inference(unit_resolution,[status(thm)],[26226, 8707, 12470])).
% 49.96/33.01 tff(26228,plain,
% 49.96/33.01 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB79, bitIndex0) | v88(constB79, bitIndex2) | (~v88(constB79, bitIndex1)) | v143(constB79))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB79, bitIndex0) | v88(constB79, bitIndex2) | (~v88(constB79, bitIndex1)) | v143(constB79))),
% 49.96/33.01 inference(rewrite,[status(thm)],[])).
% 49.96/33.01 tff(26229,plain,
% 49.96/33.01 ((v88(constB79, bitIndex2) | (~v88(constB79, bitIndex1)) | v88(constB79, bitIndex0) | v143(constB79)) <=> (v88(constB79, bitIndex0) | v88(constB79, bitIndex2) | (~v88(constB79, bitIndex1)) | v143(constB79))),
% 49.96/33.01 inference(rewrite,[status(thm)],[])).
% 49.96/33.01 tff(26230,plain,
% 49.96/33.01 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB79, bitIndex2) | (~v88(constB79, bitIndex1)) | v88(constB79, bitIndex0) | v143(constB79))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB79, bitIndex0) | v88(constB79, bitIndex2) | (~v88(constB79, bitIndex1)) | v143(constB79)))),
% 49.96/33.01 inference(monotonicity,[status(thm)],[26229])).
% 49.96/33.01 tff(26231,plain,
% 49.96/33.01 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB79, bitIndex2) | (~v88(constB79, bitIndex1)) | v88(constB79, bitIndex0) | v143(constB79))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB79, bitIndex0) | v88(constB79, bitIndex2) | (~v88(constB79, bitIndex1)) | v143(constB79))),
% 49.96/33.01 inference(transitivity,[status(thm)],[26230, 26228])).
% 49.96/33.01 tff(26232,plain,
% 49.96/33.01 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB79, bitIndex2) | (~v88(constB79, bitIndex1)) | v88(constB79, bitIndex0) | v143(constB79))),
% 49.96/33.01 inference(quant_inst,[status(thm)],[])).
% 49.96/33.01 tff(26233,plain,
% 49.96/33.01 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB79, bitIndex0) | v88(constB79, bitIndex2) | (~v88(constB79, bitIndex1)) | v143(constB79)),
% 49.96/33.01 inference(modus_ponens,[status(thm)],[26232, 26231])).
% 49.96/33.01 tff(26234,plain,
% 49.96/33.01 (v143(constB79)),
% 49.96/33.01 inference(unit_resolution,[status(thm)],[26233, 10523, 26227, 26223, 26219])).
% 49.96/33.01 tff(26235,plain,
% 49.96/33.01 (((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB79) | (~v143(constB79)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB79) | (~v143(constB79)))),
% 49.96/33.01 inference(rewrite,[status(thm)],[])).
% 49.96/33.01 tff(26236,plain,
% 49.96/33.01 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB79) | (~v143(constB79)))),
% 49.96/33.01 inference(quant_inst,[status(thm)],[])).
% 49.96/33.01 tff(26237,plain,
% 49.96/33.01 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB79) | (~v143(constB79))),
% 49.96/33.01 inference(modus_ponens,[status(thm)],[26236, 26235])).
% 49.96/33.01 tff(26238,plain,
% 49.96/33.01 (v142(constB79)),
% 49.96/33.01 inference(unit_resolution,[status(thm)],[26237, 10537, 26234])).
% 49.96/33.01 tff(26239,plain,
% 49.96/33.01 (((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB79) | (~v142(constB79)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB79) | (~v142(constB79)))),
% 49.96/33.01 inference(rewrite,[status(thm)],[])).
% 49.96/33.01 tff(26240,plain,
% 49.96/33.01 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB79) | (~v142(constB79)))),
% 49.96/33.01 inference(quant_inst,[status(thm)],[])).
% 49.96/33.01 tff(26241,plain,
% 49.96/33.01 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB79) | (~v142(constB79))),
% 49.96/33.01 inference(modus_ponens,[status(thm)],[26240, 26239])).
% 49.96/33.01 tff(26242,plain,
% 49.96/33.01 (v198(constB79)),
% 49.96/33.01 inference(unit_resolution,[status(thm)],[26241, 10548, 26238])).
% 49.96/33.01 tff(26243,plain,
% 49.96/33.01 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB79)) | (~v201(constB79)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB79)) | (~v201(constB79)))),
% 49.96/33.01 inference(rewrite,[status(thm)],[])).
% 49.96/33.01 tff(26244,plain,
% 49.96/33.01 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB79)) | (~v201(constB79)))),
% 49.96/33.01 inference(quant_inst,[status(thm)],[])).
% 49.96/33.01 tff(26245,plain,
% 49.96/33.01 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB79)) | (~v201(constB79))),
% 49.96/33.01 inference(modus_ponens,[status(thm)],[26244, 26243])).
% 49.96/33.01 tff(26246,plain,
% 49.96/33.01 (~v201(constB79)),
% 49.96/33.01 inference(unit_resolution,[status(thm)],[26245, 8823, 26242])).
% 49.96/33.01 tff(26247,plain,
% 49.96/33.01 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB79) | (~v198(constB79)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB79) | (~v198(constB79)))),
% 49.96/33.01 inference(rewrite,[status(thm)],[])).
% 49.96/33.01 tff(26248,plain,
% 49.96/33.01 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB79) | (~v198(constB79)))),
% 49.96/33.01 inference(quant_inst,[status(thm)],[])).
% 49.96/33.01 tff(26249,plain,
% 49.96/33.01 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB79) | (~v198(constB79))),
% 49.96/33.01 inference(modus_ponens,[status(thm)],[26248, 26247])).
% 49.96/33.01 tff(26250,plain,
% 49.96/33.01 (v197(constB79)),
% 49.96/33.01 inference(unit_resolution,[status(thm)],[26249, 8834, 26242])).
% 49.96/33.01 tff(26251,plain,
% 49.96/33.01 (((~![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)))),
% 49.96/33.01 inference(rewrite,[status(thm)],[])).
% 49.96/33.01 tff(26252,plain,
% 49.96/33.01 (((~v197(constB79)) | v201(constB79) | v227(constB79)) <=> (v227(constB79) | v201(constB79) | (~v197(constB79)))),
% 49.96/33.01 inference(rewrite,[status(thm)],[])).
% 49.96/33.01 tff(26253,plain,
% 49.96/33.01 (((~![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))))),
% 49.96/33.01 inference(monotonicity,[status(thm)],[26252])).
% 49.96/33.01 tff(26254,plain,
% 49.96/33.01 (((~![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)))),
% 49.96/33.01 inference(transitivity,[status(thm)],[26253, 26251])).
% 49.96/33.01 tff(26255,plain,
% 49.96/33.01 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB79)) | v201(constB79) | v227(constB79))),
% 49.96/33.01 inference(quant_inst,[status(thm)],[])).
% 49.96/33.01 tff(26256,plain,
% 49.96/33.01 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB79) | v201(constB79) | (~v197(constB79))),
% 49.96/33.01 inference(modus_ponens,[status(thm)],[26255, 26254])).
% 49.96/33.01 tff(26257,plain,
% 49.96/33.01 (v227(constB79)),
% 49.96/33.01 inference(unit_resolution,[status(thm)],[26256, 8848, 26250, 26246])).
% 49.96/33.01 tff(26258,plain,
% 49.96/33.01 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB79)) | (~v223(constB79, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB79)) | (~v223(constB79, bitIndex0)))),
% 49.96/33.01 inference(rewrite,[status(thm)],[])).
% 49.96/33.01 tff(26259,plain,
% 49.96/33.01 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB79)) | (~v223(constB79, bitIndex0)))),
% 49.96/33.01 inference(quant_inst,[status(thm)],[])).
% 49.96/33.01 tff(26260,plain,
% 49.96/33.01 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB79)) | (~v223(constB79, bitIndex0))),
% 49.96/33.01 inference(modus_ponens,[status(thm)],[26259, 26258])).
% 49.96/33.01 tff(26261,plain,
% 49.96/33.01 (~v223(constB79, bitIndex0)),
% 49.96/33.01 inference(unit_resolution,[status(thm)],[26260, 8862, 26257])).
% 49.96/33.01 tff(26262,plain,
% 49.96/33.01 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB79, bitIndex0) | (~v222(constB79)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | v223(constB79, bitIndex0) | (~v222(constB79)))),
% 49.96/33.01 inference(rewrite,[status(thm)],[])).
% 49.96/33.01 tff(26263,plain,
% 49.96/33.01 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB79, bitIndex0) | (~v222(constB79)))),
% 49.96/33.01 inference(quant_inst,[status(thm)],[])).
% 49.96/33.01 tff(26264,plain,
% 49.97/33.01 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | v223(constB79, bitIndex0) | (~v222(constB79))),
% 49.97/33.01 inference(modus_ponens,[status(thm)],[26263, 26262])).
% 49.97/33.01 tff(26265,plain,
% 49.97/33.01 (~v222(constB79)),
% 49.97/33.01 inference(unit_resolution,[status(thm)],[26264, 10578, 26261])).
% 49.97/33.01 tff(26266,plain,
% 49.97/33.01 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB79, bitIndex1)) | (~v139(constB79)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB79, bitIndex1)) | (~v139(constB79)))),
% 49.97/33.01 inference(rewrite,[status(thm)],[])).
% 49.97/33.01 tff(26267,plain,
% 49.97/33.01 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB79, bitIndex1)) | (~v139(constB79)))),
% 49.97/33.01 inference(quant_inst,[status(thm)],[])).
% 49.97/33.01 tff(26268,plain,
% 49.97/33.01 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB79, bitIndex1)) | (~v139(constB79))),
% 49.97/33.01 inference(modus_ponens,[status(thm)],[26267, 26266])).
% 49.97/33.01 tff(26269,plain,
% 49.97/33.01 (~v139(constB79)),
% 49.97/33.01 inference(unit_resolution,[status(thm)],[26268, 10589, 26227])).
% 49.97/33.01 tff(26270,plain,
% 49.97/33.01 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB79, bitIndex1)) | (~v140(constB79)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB79, bitIndex1)) | (~v140(constB79)))),
% 49.97/33.01 inference(rewrite,[status(thm)],[])).
% 49.97/33.01 tff(26271,plain,
% 49.97/33.01 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB79, bitIndex1)) | (~v140(constB79)))),
% 49.97/33.01 inference(quant_inst,[status(thm)],[])).
% 49.97/33.01 tff(26272,plain,
% 49.97/33.01 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB79, bitIndex1)) | (~v140(constB79))),
% 49.97/33.01 inference(modus_ponens,[status(thm)],[26271, 26270])).
% 49.97/33.01 tff(26273,plain,
% 49.97/33.01 (~v140(constB79)),
% 49.97/33.01 inference(unit_resolution,[status(thm)],[26272, 9002, 26227])).
% 49.97/33.01 tff(26274,plain,
% 49.97/33.01 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB79) | v139(constB79) | (~v200(constB79)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB79) | v139(constB79) | (~v200(constB79)))),
% 49.97/33.01 inference(rewrite,[status(thm)],[])).
% 49.97/33.01 tff(26275,plain,
% 49.97/33.01 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB79) | v139(constB79) | (~v200(constB79)))),
% 49.97/33.01 inference(quant_inst,[status(thm)],[])).
% 49.97/33.01 tff(26276,plain,
% 49.97/33.01 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB79) | v139(constB79) | (~v200(constB79))),
% 49.97/33.01 inference(modus_ponens,[status(thm)],[26275, 26274])).
% 49.97/33.01 tff(26277,plain,
% 49.97/33.01 (~v200(constB79)),
% 49.97/33.01 inference(unit_resolution,[status(thm)],[26276, 10610, 26273, 26269])).
% 49.97/33.01 tff(26278,plain,
% 49.97/33.01 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB79, bitIndex0) | (~v141(constB79)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB79, bitIndex0) | (~v141(constB79)))),
% 49.97/33.01 inference(rewrite,[status(thm)],[])).
% 49.97/33.01 tff(26279,plain,
% 49.97/33.01 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB79, bitIndex0) | (~v141(constB79)))),
% 49.97/33.01 inference(quant_inst,[status(thm)],[])).
% 49.97/33.01 tff(26280,plain,
% 49.97/33.01 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB79, bitIndex0) | (~v141(constB79))),
% 49.97/33.01 inference(modus_ponens,[status(thm)],[26279, 26278])).
% 49.97/33.01 tff(26281,plain,
% 49.97/33.01 (~v141(constB79)),
% 49.97/33.01 inference(unit_resolution,[status(thm)],[26280, 10624, 26223])).
% 49.97/33.01 tff(26282,plain,
% 49.97/33.01 (((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB79) | v200(constB79) | (~v166(constB79)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB79) | v200(constB79) | (~v166(constB79)))),
% 49.97/33.01 inference(rewrite,[status(thm)],[])).
% 49.97/33.01 tff(26283,plain,
% 49.97/33.01 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB79) | v200(constB79) | (~v166(constB79)))),
% 49.97/33.01 inference(quant_inst,[status(thm)],[])).
% 49.97/33.01 tff(26284,plain,
% 49.97/33.01 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB79) | v200(constB79) | (~v166(constB79))),
% 49.97/33.01 inference(modus_ponens,[status(thm)],[26283, 26282])).
% 49.97/33.01 tff(26285,plain,
% 49.97/33.01 (~v166(constB79)),
% 49.97/33.01 inference(unit_resolution,[status(thm)],[26284, 10638, 26281, 26277])).
% 49.97/33.01 tff(26286,plain,
% 49.97/33.01 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB79) | (~v197(constB79)) | v166(constB79))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB79) | (~v197(constB79)) | v166(constB79))),
% 49.97/33.01 inference(rewrite,[status(thm)],[])).
% 49.97/33.01 tff(26287,plain,
% 49.97/33.01 (((~v197(constB79)) | v166(constB79) | v241(constB79)) <=> (v241(constB79) | (~v197(constB79)) | v166(constB79))),
% 49.97/33.01 inference(rewrite,[status(thm)],[])).
% 49.97/33.01 tff(26288,plain,
% 49.97/33.01 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB79)) | v166(constB79) | v241(constB79))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB79) | (~v197(constB79)) | v166(constB79)))),
% 49.97/33.01 inference(monotonicity,[status(thm)],[26287])).
% 49.97/33.01 tff(26289,plain,
% 49.97/33.01 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB79)) | v166(constB79) | v241(constB79))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB79) | (~v197(constB79)) | v166(constB79))),
% 49.97/33.01 inference(transitivity,[status(thm)],[26288, 26286])).
% 49.97/33.01 tff(26290,plain,
% 49.97/33.01 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB79)) | v166(constB79) | v241(constB79))),
% 49.97/33.01 inference(quant_inst,[status(thm)],[])).
% 49.97/33.01 tff(26291,plain,
% 49.97/33.01 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB79) | (~v197(constB79)) | v166(constB79)),
% 49.97/33.01 inference(modus_ponens,[status(thm)],[26290, 26289])).
% 49.97/33.01 tff(26292,plain,
% 49.97/33.01 (v241(constB79) | (~v197(constB79))),
% 49.97/33.01 inference(unit_resolution,[status(thm)],[26291, 10277, 26285])).
% 49.97/33.01 tff(26293,plain,
% 49.97/33.01 (v241(constB79)),
% 49.97/33.01 inference(unit_resolution,[status(thm)],[26292, 26250])).
% 49.97/33.01 tff(26294,plain,
% 49.97/33.01 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB79)) | (~v223(constB79, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB79)) | (~v223(constB79, bitIndex2)))),
% 49.97/33.01 inference(rewrite,[status(thm)],[])).
% 49.97/33.01 tff(26295,plain,
% 49.97/33.01 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB79)) | (~v223(constB79, bitIndex2)))),
% 49.97/33.01 inference(quant_inst,[status(thm)],[])).
% 49.97/33.01 tff(26296,plain,
% 49.97/33.01 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB79)) | (~v223(constB79, bitIndex2))),
% 49.97/33.01 inference(modus_ponens,[status(thm)],[26295, 26294])).
% 49.97/33.01 tff(26297,plain,
% 49.97/33.01 (~v223(constB79, bitIndex2)),
% 49.97/33.01 inference(unit_resolution,[status(thm)],[26296, 10292, 26293])).
% 49.97/33.01 tff(26298,plain,
% 49.97/33.01 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB79)) | v223(constB79, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB79)) | v223(constB79, bitIndex2))),
% 49.97/33.01 inference(rewrite,[status(thm)],[])).
% 49.97/33.01 tff(26299,plain,
% 49.97/33.01 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB79)) | v223(constB79, bitIndex2))),
% 49.97/33.01 inference(quant_inst,[status(thm)],[])).
% 49.97/33.01 tff(26300,plain,
% 49.97/33.01 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB79)) | v223(constB79, bitIndex2)),
% 49.97/33.01 inference(modus_ponens,[status(thm)],[26299, 26298])).
% 49.97/33.01 tff(26301,plain,
% 49.97/33.01 (~v224(constB79)),
% 49.97/33.01 inference(unit_resolution,[status(thm)],[26300, 10343, 26297])).
% 49.97/33.01 tff(26302,plain,
% 49.97/33.01 (((~![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)))),
% 49.97/33.01 inference(rewrite,[status(thm)],[])).
% 49.97/33.01 tff(26303,plain,
% 49.97/33.01 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB79) | v224(constB79) | (~v236(constB79)))),
% 49.97/33.01 inference(quant_inst,[status(thm)],[])).
% 49.97/33.01 tff(26304,plain,
% 49.97/33.01 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB79) | v224(constB79) | (~v236(constB79))),
% 49.97/33.01 inference(modus_ponens,[status(thm)],[26303, 26302])).
% 49.97/33.01 tff(26305,plain,
% 49.97/33.01 (~v236(constB79)),
% 49.97/33.01 inference(unit_resolution,[status(thm)],[26304, 8968, 26301, 26265])).
% 49.97/33.01 tff(26306,plain,
% 49.97/33.01 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB79) | (~v232(constB79)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB79) | (~v232(constB79)))),
% 49.97/33.01 inference(rewrite,[status(thm)],[])).
% 49.97/33.01 tff(26307,plain,
% 49.97/33.01 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB79) | (~v232(constB79)))),
% 49.97/33.01 inference(quant_inst,[status(thm)],[])).
% 49.97/33.01 tff(26308,plain,
% 49.97/33.01 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB79) | (~v232(constB79))),
% 49.97/33.01 inference(modus_ponens,[status(thm)],[26307, 26306])).
% 49.97/33.01 tff(26309,plain,
% 49.97/33.01 (~v232(constB79)),
% 49.97/33.01 inference(unit_resolution,[status(thm)],[26308, 8980, 26305])).
% 49.97/33.01 tff(26310,plain,
% 49.97/33.01 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB79) | v139(constB79) | (~v148(constB79)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB79) | v139(constB79) | (~v148(constB79)))),
% 49.97/33.01 inference(rewrite,[status(thm)],[])).
% 49.97/33.01 tff(26311,plain,
% 49.97/33.01 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB79) | v139(constB79) | (~v148(constB79)))),
% 49.97/33.01 inference(quant_inst,[status(thm)],[])).
% 49.97/33.01 tff(26312,plain,
% 49.97/33.01 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB79) | v139(constB79) | (~v148(constB79))),
% 49.97/33.01 inference(modus_ponens,[status(thm)],[26311, 26310])).
% 49.97/33.01 tff(26313,plain,
% 49.97/33.01 (~v148(constB79)),
% 49.97/33.01 inference(unit_resolution,[status(thm)],[26312, 9016, 26273, 26269])).
% 49.97/33.01 tff(26314,plain,
% 49.97/33.01 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB79) | (~v197(constB79)) | v148(constB79))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB79) | (~v197(constB79)) | v148(constB79))),
% 49.97/33.01 inference(rewrite,[status(thm)],[])).
% 49.97/33.01 tff(26315,plain,
% 49.97/33.01 ((v148(constB79) | (~v197(constB79)) | v252(constB79)) <=> (v252(constB79) | (~v197(constB79)) | v148(constB79))),
% 49.97/33.01 inference(rewrite,[status(thm)],[])).
% 49.97/33.01 tff(26316,plain,
% 49.97/33.01 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB79) | (~v197(constB79)) | v252(constB79))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB79) | (~v197(constB79)) | v148(constB79)))),
% 49.97/33.01 inference(monotonicity,[status(thm)],[26315])).
% 49.97/33.01 tff(26317,plain,
% 49.97/33.01 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB79) | (~v197(constB79)) | v252(constB79))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB79) | (~v197(constB79)) | v148(constB79))),
% 49.97/33.01 inference(transitivity,[status(thm)],[26316, 26314])).
% 49.97/33.01 tff(26318,plain,
% 49.97/33.01 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB79) | (~v197(constB79)) | v252(constB79))),
% 49.97/33.01 inference(quant_inst,[status(thm)],[])).
% 49.97/33.01 tff(26319,plain,
% 49.97/33.01 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB79) | (~v197(constB79)) | v148(constB79)),
% 49.97/33.01 inference(modus_ponens,[status(thm)],[26318, 26317])).
% 49.97/33.01 tff(26320,plain,
% 49.97/33.01 (v252(constB79) | (~v197(constB79))),
% 49.97/33.01 inference(unit_resolution,[status(thm)],[26319, 9033, 26313])).
% 49.97/33.01 tff(26321,plain,
% 49.97/33.01 (v252(constB79)),
% 49.97/33.01 inference(unit_resolution,[status(thm)],[26320, 26250])).
% 49.97/33.01 tff(26322,plain,
% 49.97/33.01 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB79)) | (~v223(constB79, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB79)) | (~v223(constB79, bitIndex3)))),
% 49.97/33.02 inference(rewrite,[status(thm)],[])).
% 49.97/33.02 tff(26323,plain,
% 49.97/33.02 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB79)) | (~v223(constB79, bitIndex3)))),
% 49.97/33.02 inference(quant_inst,[status(thm)],[])).
% 49.97/33.02 tff(26324,plain,
% 49.97/33.02 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB79)) | (~v223(constB79, bitIndex3))),
% 49.97/33.02 inference(modus_ponens,[status(thm)],[26323, 26322])).
% 49.97/33.02 tff(26325,plain,
% 49.97/33.02 (~v223(constB79, bitIndex3)),
% 49.97/33.02 inference(unit_resolution,[status(thm)],[26324, 9048, 26321])).
% 49.97/33.02 tff(26326,plain,
% 49.97/33.02 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB79)) | v223(constB79, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB79)) | v223(constB79, bitIndex3))),
% 49.97/33.02 inference(rewrite,[status(thm)],[])).
% 49.97/33.02 tff(26327,plain,
% 49.97/33.02 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB79)) | v223(constB79, bitIndex3))),
% 49.97/33.02 inference(quant_inst,[status(thm)],[])).
% 49.97/33.02 tff(26328,plain,
% 49.97/33.02 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB79)) | v223(constB79, bitIndex3)),
% 49.97/33.02 inference(modus_ponens,[status(thm)],[26327, 26326])).
% 49.97/33.02 tff(26329,plain,
% 49.97/33.02 (~v237(constB79)),
% 49.97/33.02 inference(unit_resolution,[status(thm)],[26328, 9062, 26325])).
% 49.97/33.02 tff(26330,plain,
% 49.97/33.02 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB79) | v232(constB79) | (~v248(constB79)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB79) | v232(constB79) | (~v248(constB79)))),
% 49.97/33.02 inference(rewrite,[status(thm)],[])).
% 49.97/33.02 tff(26331,plain,
% 49.97/33.02 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB79) | v232(constB79) | (~v248(constB79)))),
% 49.97/33.02 inference(quant_inst,[status(thm)],[])).
% 49.97/33.02 tff(26332,plain,
% 49.97/33.02 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB79) | v232(constB79) | (~v248(constB79))),
% 49.97/33.02 inference(modus_ponens,[status(thm)],[26331, 26330])).
% 49.97/33.02 tff(26333,plain,
% 49.97/33.02 (v232(constB79) | (~v248(constB79))),
% 49.97/33.02 inference(unit_resolution,[status(thm)],[26332, 9076, 26329])).
% 49.97/33.02 tff(26334,plain,
% 49.97/33.02 (~v248(constB79)),
% 49.97/33.02 inference(unit_resolution,[status(thm)],[26333, 26309])).
% 49.97/33.02 tff(26335,plain,
% 49.97/33.02 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB79) | (~v244(constB79)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB79) | (~v244(constB79)))),
% 49.97/33.02 inference(rewrite,[status(thm)],[])).
% 49.97/33.02 tff(26336,plain,
% 49.97/33.02 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB79) | (~v244(constB79)))),
% 49.97/33.02 inference(quant_inst,[status(thm)],[])).
% 49.97/33.02 tff(26337,plain,
% 49.97/33.02 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB79) | (~v244(constB79))),
% 49.97/33.02 inference(modus_ponens,[status(thm)],[26336, 26335])).
% 49.97/33.02 tff(26338,plain,
% 49.97/33.02 (~v244(constB79)),
% 49.97/33.02 inference(unit_resolution,[status(thm)],[26337, 11335, 26334])).
% 49.97/33.02 tff(26339,plain,
% 49.97/33.02 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB79) | (~v216(constB79, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB79) | (~v216(constB79, bitIndex1)))),
% 49.97/33.02 inference(rewrite,[status(thm)],[])).
% 49.97/33.02 tff(26340,plain,
% 49.97/33.02 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB79) | (~v216(constB79, bitIndex1)))),
% 49.97/33.02 inference(quant_inst,[status(thm)],[])).
% 49.97/33.02 tff(26341,plain,
% 49.97/33.02 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB79) | (~v216(constB79, bitIndex1))),
% 49.97/33.02 inference(modus_ponens,[status(thm)],[26340, 26339])).
% 49.97/33.02 tff(26342,plain,
% 49.97/33.02 (~v216(constB79, bitIndex1)),
% 49.97/33.02 inference(unit_resolution,[status(thm)],[26341, 11346, 26338])).
% 49.97/33.02 tff(26343,plain,
% 49.97/33.02 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB79, bitIndex1) | (~v254(constB79)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB79, bitIndex1) | (~v254(constB79)))),
% 49.97/33.02 inference(rewrite,[status(thm)],[])).
% 49.97/33.02 tff(26344,plain,
% 49.97/33.02 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB79, bitIndex1) | (~v254(constB79)))),
% 49.97/33.02 inference(quant_inst,[status(thm)],[])).
% 49.97/33.02 tff(26345,plain,
% 49.97/33.02 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB79, bitIndex1) | (~v254(constB79))),
% 49.97/33.02 inference(modus_ponens,[status(thm)],[26344, 26343])).
% 49.97/33.02 tff(26346,plain,
% 49.97/33.02 (~v254(constB79)),
% 49.97/33.02 inference(unit_resolution,[status(thm)],[26345, 11357, 26342])).
% 49.97/33.02 tff(26347,plain,
% 49.97/33.02 (((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB79) | (~v221(constB79)))) <=> ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB79) | (~v221(constB79)))),
% 49.97/33.02 inference(rewrite,[status(thm)],[])).
% 49.97/33.02 tff(26348,plain,
% 49.97/33.02 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB79) | (~v221(constB79)))),
% 49.97/33.02 inference(quant_inst,[status(thm)],[])).
% 49.97/33.02 tff(26349,plain,
% 49.97/33.02 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB79) | (~v221(constB79))),
% 49.97/33.02 inference(modus_ponens,[status(thm)],[26348, 26347])).
% 49.97/33.02 tff(26350,plain,
% 49.97/33.02 (~v221(constB79)),
% 49.97/33.02 inference(unit_resolution,[status(thm)],[26349, 11505, 26301])).
% 49.97/33.02 tff(26351,plain,
% 49.97/33.02 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB79) | (~v231(constB79)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB79) | (~v231(constB79)))),
% 49.97/33.02 inference(rewrite,[status(thm)],[])).
% 49.97/33.02 tff(26352,plain,
% 49.97/33.02 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB79) | (~v231(constB79)))),
% 49.97/33.02 inference(quant_inst,[status(thm)],[])).
% 49.97/33.02 tff(26353,plain,
% 49.97/33.02 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB79) | (~v231(constB79))),
% 49.97/33.02 inference(modus_ponens,[status(thm)],[26352, 26351])).
% 49.97/33.02 tff(26354,plain,
% 49.97/33.02 (~v231(constB79)),
% 49.97/33.02 inference(unit_resolution,[status(thm)],[26353, 11162, 26329])).
% 49.97/33.02 tff(26355,plain,
% 49.97/33.02 (((~![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)))),
% 49.97/33.02 inference(rewrite,[status(thm)],[])).
% 49.97/33.02 tff(26356,plain,
% 49.97/33.02 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB79) | v231(constB79) | (~v243(constB79)))),
% 49.97/33.02 inference(quant_inst,[status(thm)],[])).
% 49.97/33.02 tff(26357,plain,
% 49.97/33.02 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB79) | v231(constB79) | (~v243(constB79))),
% 49.97/33.02 inference(modus_ponens,[status(thm)],[26356, 26355])).
% 49.97/33.02 tff(26358,plain,
% 49.97/33.02 (~v243(constB79)),
% 49.97/33.02 inference(unit_resolution,[status(thm)],[26357, 11206, 26354, 26350])).
% 49.97/33.02 tff(26359,plain,
% 49.97/33.02 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB79) | v255(constB79))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB79) | v255(constB79))),
% 49.97/33.02 inference(rewrite,[status(thm)],[])).
% 49.97/33.02 tff(26360,plain,
% 49.97/33.02 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB79) | v255(constB79))),
% 49.97/33.02 inference(quant_inst,[status(thm)],[])).
% 49.97/33.02 tff(26361,plain,
% 49.97/33.02 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB79) | v255(constB79)),
% 49.97/33.02 inference(modus_ponens,[status(thm)],[26360, 26359])).
% 49.97/33.02 tff(26362,plain,
% 49.97/33.02 (v255(constB79)),
% 49.97/33.02 inference(unit_resolution,[status(thm)],[26361, 11222, 26358])).
% 49.97/33.02 tff(26363,plain,
% 49.97/33.02 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB79)) | (~v216(constB79, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB79)) | (~v216(constB79, bitIndex2)))),
% 49.97/33.02 inference(rewrite,[status(thm)],[])).
% 49.97/33.02 tff(26364,plain,
% 49.97/33.02 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB79)) | (~v216(constB79, bitIndex2)))),
% 49.97/33.02 inference(quant_inst,[status(thm)],[])).
% 49.97/33.02 tff(26365,plain,
% 49.97/33.02 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB79)) | (~v216(constB79, bitIndex2))),
% 49.97/33.02 inference(modus_ponens,[status(thm)],[26364, 26363])).
% 49.97/33.02 tff(26366,plain,
% 49.97/33.02 (~v216(constB79, bitIndex2)),
% 49.97/33.02 inference(unit_resolution,[status(thm)],[26365, 11237, 26362])).
% 49.97/33.02 tff(26367,plain,
% 49.97/33.02 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB79)) | v216(constB79, bitIndex2) | v254(constB79))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB79)) | v216(constB79, bitIndex2) | v254(constB79))),
% 49.97/33.02 inference(rewrite,[status(thm)],[])).
% 49.97/33.02 tff(26368,plain,
% 49.97/33.02 ((v216(constB79, bitIndex2) | v254(constB79) | (~v215(constB79))) <=> ((~v215(constB79)) | v216(constB79, bitIndex2) | v254(constB79))),
% 49.97/33.02 inference(rewrite,[status(thm)],[])).
% 49.97/33.02 tff(26369,plain,
% 49.97/33.02 (((~![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)))) | ((~v215(constB79)) | v216(constB79, bitIndex2) | v254(constB79)))),
% 49.97/33.02 inference(monotonicity,[status(thm)],[26368])).
% 49.97/33.02 tff(26370,plain,
% 49.97/33.02 (((~![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)))) | (~v215(constB79)) | v216(constB79, bitIndex2) | v254(constB79))),
% 49.97/33.02 inference(transitivity,[status(thm)],[26369, 26367])).
% 49.97/33.02 tff(26371,plain,
% 49.97/33.02 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB79, bitIndex2) | v254(constB79) | (~v215(constB79)))),
% 49.97/33.02 inference(quant_inst,[status(thm)],[])).
% 49.97/33.02 tff(26372,plain,
% 49.97/33.02 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB79)) | v216(constB79, bitIndex2) | v254(constB79)),
% 49.97/33.02 inference(modus_ponens,[status(thm)],[26371, 26370])).
% 49.97/33.02 tff(26373,plain,
% 49.97/33.02 ((~v215(constB79)) | v254(constB79)),
% 49.97/33.02 inference(unit_resolution,[status(thm)],[26372, 11278, 26366])).
% 49.97/33.02 tff(26374,plain,
% 49.97/33.02 (~v215(constB79)),
% 49.97/33.02 inference(unit_resolution,[status(thm)],[26373, 26346])).
% 49.97/33.02 tff(26375,plain,
% 49.97/33.02 ($false),
% 49.97/33.02 inference(unit_resolution,[status(thm)],[26374, 26215])).
% 49.97/33.02 tff(26376,plain,(~(constB79 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 49.97/33.02 tff(26377,assumption,(constB195 = sK0_VarCurr), introduced(assumption)).
% 49.97/33.02 tff(26378,plain,
% 49.97/33.02 (v215(constB195) <=> v215(sK0_VarCurr)),
% 49.97/33.02 inference(monotonicity,[status(thm)],[26377])).
% 49.97/33.02 tff(26379,plain,
% 49.97/33.02 (v215(sK0_VarCurr) <=> v215(constB195)),
% 49.97/33.02 inference(symmetry,[status(thm)],[26378])).
% 49.97/33.02 tff(26380,plain,
% 49.97/33.02 (v215(constB195)),
% 49.97/33.02 inference(modus_ponens,[status(thm)],[11268, 26379])).
% 49.97/33.02 tff(26381,assumption,(~v90(constB187, bitIndex2)), introduced(assumption)).
% 49.97/33.02 tff(26382,assumption,(~v90(constB187, bitIndex1)), introduced(assumption)).
% 49.97/33.02 tff(26383,assumption,(~v120(constB187)), introduced(assumption)).
% 49.97/33.02 tff(26384,plain,
% 49.97/33.02 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB187, bitIndex0)) | v90(constB187, bitIndex1) | v90(constB187, bitIndex2) | v120(constB187))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB187, bitIndex0)) | v90(constB187, bitIndex1) | v90(constB187, bitIndex2) | v120(constB187))),
% 49.97/33.02 inference(rewrite,[status(thm)],[])).
% 49.97/33.02 tff(26385,plain,
% 49.97/33.02 (((~v90(constB187, bitIndex0)) | v120(constB187) | v90(constB187, bitIndex1) | v90(constB187, bitIndex2)) <=> ((~v90(constB187, bitIndex0)) | v90(constB187, bitIndex1) | v90(constB187, bitIndex2) | v120(constB187))),
% 49.97/33.02 inference(rewrite,[status(thm)],[])).
% 49.97/33.02 tff(26386,plain,
% 49.97/33.02 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB187, bitIndex0)) | v120(constB187) | v90(constB187, bitIndex1) | v90(constB187, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB187, bitIndex0)) | v90(constB187, bitIndex1) | v90(constB187, bitIndex2) | v120(constB187)))),
% 49.97/33.02 inference(monotonicity,[status(thm)],[26385])).
% 49.97/33.02 tff(26387,plain,
% 49.97/33.02 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB187, bitIndex0)) | v120(constB187) | v90(constB187, bitIndex1) | v90(constB187, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB187, bitIndex0)) | v90(constB187, bitIndex1) | v90(constB187, bitIndex2) | v120(constB187))),
% 49.97/33.02 inference(transitivity,[status(thm)],[26386, 26384])).
% 49.97/33.02 tff(26388,plain,
% 49.97/33.02 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB187, bitIndex0)) | v120(constB187) | v90(constB187, bitIndex1) | v90(constB187, bitIndex2))),
% 49.97/33.02 inference(quant_inst,[status(thm)],[])).
% 49.97/33.02 tff(26389,plain,
% 49.97/33.02 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB187, bitIndex0)) | v90(constB187, bitIndex1) | v90(constB187, bitIndex2) | v120(constB187)),
% 49.97/33.02 inference(modus_ponens,[status(thm)],[26388, 26387])).
% 49.97/33.02 tff(26390,plain,
% 49.97/33.02 ((~v90(constB187, bitIndex0)) | v90(constB187, bitIndex1) | v90(constB187, bitIndex2)),
% 49.97/33.02 inference(unit_resolution,[status(thm)],[26389, 1285, 26383])).
% 49.97/33.02 tff(26391,plain,
% 49.97/33.02 (~v90(constB187, bitIndex0)),
% 49.97/33.02 inference(unit_resolution,[status(thm)],[26390, 26382, 26381])).
% 49.97/33.02 tff(26392,plain,
% 49.97/33.02 (((~![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))),
% 49.97/33.02 inference(rewrite,[status(thm)],[])).
% 49.97/33.02 tff(26393,plain,
% 49.97/33.02 (((~nextState(constB186, constB187)) | (~v90(constB186, bitIndex2)) | v100(constB187) | v90(constB187, bitIndex2)) <=> ((~v90(constB186, bitIndex2)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex2))),
% 49.97/33.02 inference(rewrite,[status(thm)],[])).
% 49.97/33.02 tff(26394,plain,
% 49.97/33.02 (((~![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)))),
% 49.97/33.02 inference(monotonicity,[status(thm)],[26393])).
% 49.97/33.02 tff(26395,plain,
% 49.97/33.02 (((~![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))),
% 49.97/33.02 inference(transitivity,[status(thm)],[26394, 26392])).
% 49.97/33.02 tff(26396,plain,
% 49.97/33.02 ((~![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))),
% 49.97/33.02 inference(quant_inst,[status(thm)],[])).
% 49.97/33.02 tff(26397,plain,
% 49.97/33.02 ((~![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)),
% 49.97/33.02 inference(modus_ponens,[status(thm)],[26396, 26395])).
% 49.97/33.02 tff(26398,plain,
% 49.97/33.02 ((~v90(constB186, bitIndex2)) | v100(constB187) | v90(constB187, bitIndex2)),
% 49.97/33.02 inference(unit_resolution,[status(thm)],[26397, 417, 24448])).
% 49.97/33.02 tff(26399,plain,
% 49.97/33.02 ((~v90(constB186, bitIndex2)) | v90(constB187, bitIndex2)),
% 49.97/33.02 inference(unit_resolution,[status(thm)],[26398, 24460])).
% 49.97/33.02 tff(26400,plain,
% 49.97/33.02 (~v90(constB186, bitIndex2)),
% 49.97/33.02 inference(unit_resolution,[status(thm)],[26399, 26381])).
% 49.97/33.02 tff(26401,plain,
% 49.97/33.02 (((~![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))),
% 49.97/33.02 inference(rewrite,[status(thm)],[])).
% 49.97/33.02 tff(26402,plain,
% 49.97/33.02 (((~nextState(constB186, constB187)) | (~v90(constB186, bitIndex1)) | v100(constB187) | v90(constB187, bitIndex1)) <=> ((~v90(constB186, bitIndex1)) | (~nextState(constB186, constB187)) | v100(constB187) | v90(constB187, bitIndex1))),
% 49.97/33.02 inference(rewrite,[status(thm)],[])).
% 49.97/33.02 tff(26403,plain,
% 49.97/33.02 (((~![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)))),
% 49.97/33.02 inference(monotonicity,[status(thm)],[26402])).
% 49.97/33.02 tff(26404,plain,
% 49.97/33.02 (((~![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))),
% 49.97/33.02 inference(transitivity,[status(thm)],[26403, 26401])).
% 49.97/33.02 tff(26405,plain,
% 49.97/33.02 ((~![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))),
% 49.97/33.02 inference(quant_inst,[status(thm)],[])).
% 49.97/33.02 tff(26406,plain,
% 49.97/33.02 ((~![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)),
% 49.97/33.02 inference(modus_ponens,[status(thm)],[26405, 26404])).
% 49.97/33.02 tff(26407,plain,
% 49.97/33.02 ((~v90(constB186, bitIndex1)) | v100(constB187) | v90(constB187, bitIndex1)),
% 49.97/33.02 inference(unit_resolution,[status(thm)],[26406, 747, 24448])).
% 49.97/33.02 tff(26408,plain,
% 49.97/33.02 ((~v90(constB186, bitIndex1)) | v90(constB187, bitIndex1)),
% 49.97/33.02 inference(unit_resolution,[status(thm)],[26407, 24460])).
% 49.97/33.02 tff(26409,plain,
% 49.97/33.02 (~v90(constB186, bitIndex1)),
% 49.97/33.02 inference(unit_resolution,[status(thm)],[26408, 26382])).
% 49.97/33.02 tff(26410,assumption,(~v90(constB186, bitIndex2)), introduced(assumption)).
% 49.97/33.02 tff(26411,assumption,(~v90(constB186, bitIndex1)), introduced(assumption)).
% 49.97/33.02 tff(26412,assumption,(~v90(constB186, bitIndex0)), introduced(assumption)).
% 49.97/33.02 tff(26413,assumption,(~v100(constB186)), introduced(assumption)).
% 49.97/33.02 tff(26414,plain,
% 49.97/33.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB185, bitIndex2)) | (~nextState(constB185, constB186)) | v100(constB186) | v90(constB186, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB185, bitIndex2)) | (~nextState(constB185, constB186)) | v100(constB186) | v90(constB186, bitIndex2))),
% 49.97/33.02 inference(rewrite,[status(thm)],[])).
% 49.97/33.02 tff(26415,plain,
% 49.97/33.02 (((~nextState(constB185, constB186)) | (~v90(constB185, bitIndex2)) | v100(constB186) | v90(constB186, bitIndex2)) <=> ((~v90(constB185, bitIndex2)) | (~nextState(constB185, constB186)) | v100(constB186) | v90(constB186, bitIndex2))),
% 49.97/33.02 inference(rewrite,[status(thm)],[])).
% 49.97/33.02 tff(26416,plain,
% 49.97/33.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB185, constB186)) | (~v90(constB185, bitIndex2)) | v100(constB186) | v90(constB186, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB185, bitIndex2)) | (~nextState(constB185, constB186)) | v100(constB186) | v90(constB186, bitIndex2)))),
% 49.97/33.02 inference(monotonicity,[status(thm)],[26415])).
% 49.97/33.02 tff(26417,plain,
% 49.97/33.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB185, constB186)) | (~v90(constB185, bitIndex2)) | v100(constB186) | v90(constB186, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB185, bitIndex2)) | (~nextState(constB185, constB186)) | v100(constB186) | v90(constB186, bitIndex2))),
% 49.97/33.02 inference(transitivity,[status(thm)],[26416, 26414])).
% 49.97/33.02 tff(26418,plain,
% 49.97/33.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB185, constB186)) | (~v90(constB185, bitIndex2)) | v100(constB186) | v90(constB186, bitIndex2))),
% 49.97/33.02 inference(quant_inst,[status(thm)],[])).
% 49.97/33.02 tff(26419,plain,
% 49.97/33.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB185, bitIndex2)) | (~nextState(constB185, constB186)) | v100(constB186) | v90(constB186, bitIndex2)),
% 49.97/33.02 inference(modus_ponens,[status(thm)],[26418, 26417])).
% 49.97/33.02 tff(26420,plain,
% 49.97/33.02 ((~v90(constB185, bitIndex2)) | v100(constB186) | v90(constB186, bitIndex2)),
% 49.97/33.02 inference(unit_resolution,[status(thm)],[26419, 417, 24175])).
% 49.97/33.02 tff(26421,plain,
% 49.97/33.02 (~v90(constB185, bitIndex2)),
% 49.97/33.02 inference(unit_resolution,[status(thm)],[26420, 26413, 26410])).
% 49.97/33.02 tff(26422,plain,
% 49.97/33.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB185, bitIndex1)) | (~nextState(constB185, constB186)) | v100(constB186) | v90(constB186, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB185, bitIndex1)) | (~nextState(constB185, constB186)) | v100(constB186) | v90(constB186, bitIndex1))),
% 49.97/33.02 inference(rewrite,[status(thm)],[])).
% 49.97/33.02 tff(26423,plain,
% 49.97/33.02 (((~nextState(constB185, constB186)) | (~v90(constB185, bitIndex1)) | v100(constB186) | v90(constB186, bitIndex1)) <=> ((~v90(constB185, bitIndex1)) | (~nextState(constB185, constB186)) | v100(constB186) | v90(constB186, bitIndex1))),
% 49.97/33.02 inference(rewrite,[status(thm)],[])).
% 49.97/33.02 tff(26424,plain,
% 49.97/33.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB185, constB186)) | (~v90(constB185, bitIndex1)) | v100(constB186) | v90(constB186, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB185, bitIndex1)) | (~nextState(constB185, constB186)) | v100(constB186) | v90(constB186, bitIndex1)))),
% 49.97/33.02 inference(monotonicity,[status(thm)],[26423])).
% 49.97/33.02 tff(26425,plain,
% 49.97/33.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB185, constB186)) | (~v90(constB185, bitIndex1)) | v100(constB186) | v90(constB186, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB185, bitIndex1)) | (~nextState(constB185, constB186)) | v100(constB186) | v90(constB186, bitIndex1))),
% 49.97/33.02 inference(transitivity,[status(thm)],[26424, 26422])).
% 49.97/33.02 tff(26426,plain,
% 49.97/33.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB185, constB186)) | (~v90(constB185, bitIndex1)) | v100(constB186) | v90(constB186, bitIndex1))),
% 49.97/33.02 inference(quant_inst,[status(thm)],[])).
% 49.97/33.02 tff(26427,plain,
% 49.97/33.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB185, bitIndex1)) | (~nextState(constB185, constB186)) | v100(constB186) | v90(constB186, bitIndex1)),
% 49.97/33.02 inference(modus_ponens,[status(thm)],[26426, 26425])).
% 49.97/33.02 tff(26428,plain,
% 49.97/33.02 ((~v90(constB185, bitIndex1)) | v100(constB186) | v90(constB186, bitIndex1)),
% 49.97/33.02 inference(unit_resolution,[status(thm)],[26427, 747, 24175])).
% 49.97/33.02 tff(26429,plain,
% 49.97/33.02 (~v90(constB185, bitIndex1)),
% 49.97/33.02 inference(unit_resolution,[status(thm)],[26428, 26413, 26411])).
% 49.97/33.02 tff(26430,plain,
% 49.97/33.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB185, bitIndex0)) | (~nextState(constB185, constB186)) | v100(constB186) | v90(constB186, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB185, bitIndex0)) | (~nextState(constB185, constB186)) | v100(constB186) | v90(constB186, bitIndex0))),
% 49.97/33.02 inference(rewrite,[status(thm)],[])).
% 49.97/33.02 tff(26431,plain,
% 49.97/33.02 (((~nextState(constB185, constB186)) | (~v90(constB185, bitIndex0)) | v100(constB186) | v90(constB186, bitIndex0)) <=> ((~v90(constB185, bitIndex0)) | (~nextState(constB185, constB186)) | v100(constB186) | v90(constB186, bitIndex0))),
% 49.97/33.02 inference(rewrite,[status(thm)],[])).
% 49.97/33.02 tff(26432,plain,
% 49.97/33.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB185, constB186)) | (~v90(constB185, bitIndex0)) | v100(constB186) | v90(constB186, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB185, bitIndex0)) | (~nextState(constB185, constB186)) | v100(constB186) | v90(constB186, bitIndex0)))),
% 49.97/33.02 inference(monotonicity,[status(thm)],[26431])).
% 49.97/33.02 tff(26433,plain,
% 49.97/33.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB185, constB186)) | (~v90(constB185, bitIndex0)) | v100(constB186) | v90(constB186, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB185, bitIndex0)) | (~nextState(constB185, constB186)) | v100(constB186) | v90(constB186, bitIndex0))),
% 49.97/33.02 inference(transitivity,[status(thm)],[26432, 26430])).
% 49.97/33.02 tff(26434,plain,
% 49.97/33.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB185, constB186)) | (~v90(constB185, bitIndex0)) | v100(constB186) | v90(constB186, bitIndex0))),
% 49.97/33.02 inference(quant_inst,[status(thm)],[])).
% 49.97/33.02 tff(26435,plain,
% 49.97/33.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB185, bitIndex0)) | (~nextState(constB185, constB186)) | v100(constB186) | v90(constB186, bitIndex0)),
% 49.97/33.02 inference(modus_ponens,[status(thm)],[26434, 26433])).
% 49.97/33.02 tff(26436,plain,
% 49.97/33.02 ((~v90(constB185, bitIndex0)) | v100(constB186) | v90(constB186, bitIndex0)),
% 49.97/33.02 inference(unit_resolution,[status(thm)],[26435, 1124, 24175])).
% 49.97/33.02 tff(26437,plain,
% 49.97/33.02 (~v90(constB185, bitIndex0)),
% 49.97/33.02 inference(unit_resolution,[status(thm)],[26436, 26413, 26412])).
% 49.97/33.02 tff(26438,plain,
% 49.97/33.02 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB185) | v90(constB185, bitIndex0) | v90(constB185, bitIndex1) | v90(constB185, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB185) | v90(constB185, bitIndex0) | v90(constB185, bitIndex1) | v90(constB185, bitIndex2))),
% 49.97/33.02 inference(rewrite,[status(thm)],[])).
% 49.97/33.02 tff(26439,plain,
% 49.97/33.02 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB185) | v90(constB185, bitIndex0) | v90(constB185, bitIndex1) | v90(constB185, bitIndex2))),
% 49.97/33.02 inference(quant_inst,[status(thm)],[])).
% 49.97/33.02 tff(26440,plain,
% 49.97/33.02 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB185) | v90(constB185, bitIndex0) | v90(constB185, bitIndex1) | v90(constB185, bitIndex2)),
% 49.97/33.02 inference(modus_ponens,[status(thm)],[26439, 26438])).
% 49.97/33.02 tff(26441,plain,
% 49.97/33.02 (v119(constB185)),
% 49.97/33.02 inference(unit_resolution,[status(thm)],[26440, 144, 26437, 26429, 26421])).
% 49.97/33.02 tff(26442,plain,
% 49.97/33.02 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB185) | (~v119(constB185)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB185) | (~v119(constB185)))),
% 49.97/33.02 inference(rewrite,[status(thm)],[])).
% 49.97/33.02 tff(26443,plain,
% 49.97/33.02 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB185) | (~v119(constB185)))),
% 49.97/33.02 inference(quant_inst,[status(thm)],[])).
% 49.97/33.02 tff(26444,plain,
% 49.97/33.02 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB185) | (~v119(constB185))),
% 49.97/33.02 inference(modus_ponens,[status(thm)],[26443, 26442])).
% 49.97/33.02 tff(26445,plain,
% 49.97/33.02 (v118(constB185)),
% 49.97/33.02 inference(unit_resolution,[status(thm)],[26444, 155, 26441])).
% 49.97/33.02 tff(26446,plain,
% 49.97/33.02 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB185) | (~v118(constB185)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB185) | (~v118(constB185)))),
% 49.97/33.02 inference(rewrite,[status(thm)],[])).
% 49.97/33.02 tff(26447,plain,
% 49.97/33.02 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB185) | (~v118(constB185)))),
% 49.97/33.02 inference(quant_inst,[status(thm)],[])).
% 49.97/33.02 tff(26448,plain,
% 49.97/33.02 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB185) | (~v118(constB185))),
% 49.97/33.02 inference(modus_ponens,[status(thm)],[26447, 26446])).
% 49.97/33.02 tff(26449,plain,
% 49.97/33.02 (v117(constB185)),
% 49.97/33.02 inference(unit_resolution,[status(thm)],[26448, 166, 26445])).
% 49.97/33.02 tff(26450,plain,
% 49.97/33.02 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB185) | (~v117(constB185)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB185) | (~v117(constB185)))),
% 49.97/33.02 inference(rewrite,[status(thm)],[])).
% 49.97/33.02 tff(26451,plain,
% 49.97/33.02 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB185) | (~v117(constB185)))),
% 49.97/33.02 inference(quant_inst,[status(thm)],[])).
% 49.97/33.02 tff(26452,plain,
% 49.97/33.02 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB185) | (~v117(constB185))),
% 49.97/33.03 inference(modus_ponens,[status(thm)],[26451, 26450])).
% 49.97/33.03 tff(26453,plain,
% 49.97/33.03 (v116(constB185)),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[26452, 177, 26449])).
% 49.97/33.03 tff(26454,plain,
% 49.97/33.03 (~v110(constB186)),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[24208, 26413])).
% 49.97/33.03 tff(26455,plain,
% 49.97/33.03 (~v108(constB185)),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[24182, 26454])).
% 49.97/33.03 tff(26456,plain,
% 49.97/33.03 (~v112(constB185)),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[24171, 236, 26455])).
% 49.97/33.03 tff(26457,plain,
% 49.97/33.03 (~v113(constB185)),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[24167, 26456])).
% 49.97/33.03 tff(26458,plain,
% 49.97/33.03 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB185) | (~v114(constB185)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB185) | (~v114(constB185)))),
% 49.97/33.03 inference(rewrite,[status(thm)],[])).
% 49.97/33.03 tff(26459,plain,
% 49.97/33.03 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB185) | (~v114(constB185)))),
% 49.97/33.03 inference(quant_inst,[status(thm)],[])).
% 49.97/33.03 tff(26460,plain,
% 49.97/33.03 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB185) | (~v114(constB185))),
% 49.97/33.03 inference(modus_ponens,[status(thm)],[26459, 26458])).
% 49.97/33.03 tff(26461,plain,
% 49.97/33.03 (~v114(constB185)),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[26460, 210, 26457])).
% 49.97/33.03 tff(26462,plain,
% 49.97/33.03 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB185) | (~v115(constB185)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB185) | (~v115(constB185)))),
% 49.97/33.03 inference(rewrite,[status(thm)],[])).
% 49.97/33.03 tff(26463,plain,
% 49.97/33.03 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB185) | (~v115(constB185)))),
% 49.97/33.03 inference(quant_inst,[status(thm)],[])).
% 49.97/33.03 tff(26464,plain,
% 49.97/33.03 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB185) | (~v115(constB185))),
% 49.97/33.03 inference(modus_ponens,[status(thm)],[26463, 26462])).
% 49.97/33.03 tff(26465,plain,
% 49.97/33.03 (~v115(constB185)),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[26464, 199, 26461])).
% 49.97/33.03 tff(26466,plain,
% 49.97/33.03 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB185) | (~v116(constB185)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB185) | (~v116(constB185)))),
% 49.97/33.03 inference(rewrite,[status(thm)],[])).
% 49.97/33.03 tff(26467,plain,
% 49.97/33.03 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB185) | (~v116(constB185)))),
% 49.97/33.03 inference(quant_inst,[status(thm)],[])).
% 49.97/33.03 tff(26468,plain,
% 49.97/33.03 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB185) | (~v116(constB185))),
% 49.97/33.03 inference(modus_ponens,[status(thm)],[26467, 26466])).
% 49.97/33.03 tff(26469,plain,
% 49.97/33.03 ($false),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[26468, 188, 26465, 26453])).
% 49.97/33.03 tff(26470,plain,(v100(constB186) | v90(constB186, bitIndex2) | v90(constB186, bitIndex1) | v90(constB186, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 49.97/33.03 tff(26471,plain,
% 49.97/33.03 (v100(constB186)),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[26470, 26412, 26411, 26410])).
% 49.97/33.03 tff(26472,plain,
% 49.97/33.03 (((~![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)))),
% 49.97/33.03 inference(rewrite,[status(thm)],[])).
% 49.97/33.03 tff(26473,plain,
% 49.97/33.03 ((v90(constB186, bitIndex2) | (~v100(constB186)) | (~v129(constB186, bitIndex2))) <=> (v90(constB186, bitIndex2) | (~v129(constB186, bitIndex2)) | (~v100(constB186)))),
% 49.97/33.03 inference(rewrite,[status(thm)],[])).
% 49.97/33.03 tff(26474,plain,
% 49.97/33.03 (((~![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))))),
% 49.97/33.03 inference(monotonicity,[status(thm)],[26473])).
% 49.97/33.03 tff(26475,plain,
% 49.97/33.03 (((~![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)))),
% 49.97/33.03 inference(transitivity,[status(thm)],[26474, 26472])).
% 49.97/33.03 tff(26476,plain,
% 49.97/33.03 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB186, bitIndex2) | (~v100(constB186)) | (~v129(constB186, bitIndex2)))),
% 49.97/33.03 inference(quant_inst,[status(thm)],[])).
% 49.97/33.03 tff(26477,plain,
% 49.97/33.03 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB186, bitIndex2) | (~v129(constB186, bitIndex2)) | (~v100(constB186))),
% 49.97/33.03 inference(modus_ponens,[status(thm)],[26476, 26475])).
% 49.97/33.03 tff(26478,plain,
% 49.97/33.03 ((~v129(constB186, bitIndex2)) | (~v100(constB186))),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[26477, 381, 26410])).
% 49.97/33.03 tff(26479,plain,
% 49.97/33.03 (~v129(constB186, bitIndex2)),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[26478, 26471])).
% 49.97/33.03 tff(26480,plain,
% 49.97/33.03 (((~![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))),
% 49.97/33.03 inference(rewrite,[status(thm)],[])).
% 49.97/33.03 tff(26481,plain,
% 49.97/33.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB185, constB186)) | (~v127(constB185, bitIndex2)) | v129(constB186, bitIndex2))),
% 49.97/33.03 inference(quant_inst,[status(thm)],[])).
% 49.97/33.03 tff(26482,plain,
% 49.97/33.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB185, constB186)) | (~v127(constB185, bitIndex2)) | v129(constB186, bitIndex2)),
% 49.97/33.03 inference(modus_ponens,[status(thm)],[26481, 26480])).
% 49.97/33.03 tff(26483,plain,
% 49.97/33.03 ((~v127(constB185, bitIndex2)) | v129(constB186, bitIndex2)),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[26482, 366, 24175])).
% 49.97/33.03 tff(26484,plain,
% 49.97/33.03 (~v127(constB185, bitIndex2)),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[26483, 26479])).
% 49.97/33.03 tff(26485,plain,
% 49.97/33.03 (((~![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))) | v26(constB185) | (~v130(constB185, bitIndex2)) | v127(constB185, bitIndex2))),
% 49.97/33.03 inference(rewrite,[status(thm)],[])).
% 49.97/33.03 tff(26486,plain,
% 49.97/33.03 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB185) | (~v130(constB185, bitIndex2)) | v127(constB185, bitIndex2))),
% 49.97/33.03 inference(quant_inst,[status(thm)],[])).
% 49.97/33.03 tff(26487,plain,
% 49.97/33.03 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB185) | (~v130(constB185, bitIndex2)) | v127(constB185, bitIndex2)),
% 49.97/33.03 inference(modus_ponens,[status(thm)],[26486, 26485])).
% 49.97/33.03 tff(26488,plain,
% 49.97/33.03 ((~v130(constB185, bitIndex2)) | v127(constB185, bitIndex2)),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[26487, 351, 24163])).
% 49.97/33.03 tff(26489,plain,
% 49.97/33.03 (~v130(constB185, bitIndex2)),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[26488, 26484])).
% 49.97/33.03 tff(26490,plain,
% 49.97/33.03 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB185)) | v130(constB185, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB185)) | v130(constB185, bitIndex2))),
% 49.97/33.03 inference(rewrite,[status(thm)],[])).
% 49.97/33.03 tff(26491,plain,
% 49.97/33.03 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB185)) | v130(constB185, bitIndex2))),
% 49.97/33.03 inference(quant_inst,[status(thm)],[])).
% 49.97/33.03 tff(26492,plain,
% 49.97/33.03 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB185)) | v130(constB185, bitIndex2)),
% 49.97/33.03 inference(modus_ponens,[status(thm)],[26491, 26490])).
% 49.97/33.03 tff(26493,plain,
% 49.97/33.03 (~v119(constB185)),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[26492, 337, 26489])).
% 49.97/33.03 tff(26494,plain,
% 49.97/33.03 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB185)) | v130(constB185, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB185)) | v130(constB185, bitIndex2))),
% 49.97/33.03 inference(rewrite,[status(thm)],[])).
% 49.97/33.03 tff(26495,plain,
% 49.97/33.03 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB185)) | v130(constB185, bitIndex2))),
% 49.97/33.03 inference(quant_inst,[status(thm)],[])).
% 49.97/33.03 tff(26496,plain,
% 49.97/33.03 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB185)) | v130(constB185, bitIndex2)),
% 49.97/33.03 inference(modus_ponens,[status(thm)],[26495, 26494])).
% 49.97/33.03 tff(26497,plain,
% 49.97/33.03 (~v122(constB185)),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[26496, 1876, 26489])).
% 49.97/33.03 tff(26498,plain,
% 49.97/33.03 (((~![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)))),
% 49.97/33.03 inference(rewrite,[status(thm)],[])).
% 49.97/33.03 tff(26499,plain,
% 49.97/33.03 ((v90(constB186, bitIndex1) | (~v100(constB186)) | (~v129(constB186, bitIndex1))) <=> (v90(constB186, bitIndex1) | (~v129(constB186, bitIndex1)) | (~v100(constB186)))),
% 49.97/33.03 inference(rewrite,[status(thm)],[])).
% 49.97/33.03 tff(26500,plain,
% 49.97/33.03 (((~![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))))),
% 49.97/33.03 inference(monotonicity,[status(thm)],[26499])).
% 49.97/33.03 tff(26501,plain,
% 49.97/33.03 (((~![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)))),
% 49.97/33.03 inference(transitivity,[status(thm)],[26500, 26498])).
% 49.97/33.03 tff(26502,plain,
% 49.97/33.03 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB186, bitIndex1) | (~v100(constB186)) | (~v129(constB186, bitIndex1)))),
% 49.97/33.03 inference(quant_inst,[status(thm)],[])).
% 49.97/33.03 tff(26503,plain,
% 49.97/33.03 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB186, bitIndex1) | (~v129(constB186, bitIndex1)) | (~v100(constB186))),
% 49.97/33.03 inference(modus_ponens,[status(thm)],[26502, 26501])).
% 49.97/33.03 tff(26504,plain,
% 49.97/33.03 ((~v129(constB186, bitIndex1)) | (~v100(constB186))),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[26503, 711, 26411])).
% 49.97/33.03 tff(26505,plain,
% 49.97/33.03 (~v129(constB186, bitIndex1)),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[26504, 26471])).
% 49.97/33.03 tff(26506,plain,
% 49.97/33.03 (((~![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))),
% 49.97/33.03 inference(rewrite,[status(thm)],[])).
% 49.97/33.03 tff(26507,plain,
% 49.97/33.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB185, constB186)) | (~v127(constB185, bitIndex1)) | v129(constB186, bitIndex1))),
% 49.97/33.03 inference(quant_inst,[status(thm)],[])).
% 49.97/33.03 tff(26508,plain,
% 49.97/33.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB185, constB186)) | (~v127(constB185, bitIndex1)) | v129(constB186, bitIndex1)),
% 49.97/33.03 inference(modus_ponens,[status(thm)],[26507, 26506])).
% 49.97/33.03 tff(26509,plain,
% 49.97/33.03 ((~v127(constB185, bitIndex1)) | v129(constB186, bitIndex1)),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[26508, 696, 24175])).
% 49.97/33.03 tff(26510,plain,
% 49.97/33.03 (~v127(constB185, bitIndex1)),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[26509, 26505])).
% 49.97/33.03 tff(26511,plain,
% 49.97/33.03 (((~![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))),
% 49.97/33.03 inference(rewrite,[status(thm)],[])).
% 49.97/33.03 tff(26512,plain,
% 49.97/33.03 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB185) | (~v130(constB185, bitIndex1)) | v127(constB185, bitIndex1))),
% 49.97/33.03 inference(quant_inst,[status(thm)],[])).
% 49.97/33.03 tff(26513,plain,
% 49.97/33.03 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB185) | (~v130(constB185, bitIndex1)) | v127(constB185, bitIndex1)),
% 49.97/33.03 inference(modus_ponens,[status(thm)],[26512, 26511])).
% 49.97/33.03 tff(26514,plain,
% 49.97/33.03 ((~v130(constB185, bitIndex1)) | v127(constB185, bitIndex1)),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[26513, 681, 24163])).
% 49.97/33.03 tff(26515,plain,
% 49.97/33.03 (~v130(constB185, bitIndex1)),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[26514, 26510])).
% 49.97/33.03 tff(26516,plain,
% 49.97/33.03 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB185)) | v130(constB185, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB185)) | v130(constB185, bitIndex1))),
% 49.97/33.03 inference(rewrite,[status(thm)],[])).
% 49.97/33.03 tff(26517,plain,
% 49.97/33.03 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v124(constB185)) | v130(constB185, bitIndex1))),
% 49.97/33.03 inference(quant_inst,[status(thm)],[])).
% 49.97/33.03 tff(26518,plain,
% 49.97/33.03 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v124(constB185)) | v130(constB185, bitIndex1)),
% 49.97/33.03 inference(modus_ponens,[status(thm)],[26517, 26516])).
% 49.97/33.03 tff(26519,plain,
% 49.97/33.03 (~v124(constB185)),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[26518, 3155, 26515])).
% 49.97/33.03 tff(26520,plain,
% 49.97/33.03 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB185)) | v130(constB185, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB185)) | v130(constB185, bitIndex1))),
% 49.97/33.03 inference(rewrite,[status(thm)],[])).
% 49.97/33.03 tff(26521,plain,
% 49.97/33.03 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB185)) | v130(constB185, bitIndex1))),
% 49.97/33.03 inference(quant_inst,[status(thm)],[])).
% 49.97/33.03 tff(26522,plain,
% 49.97/33.03 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB185)) | v130(constB185, bitIndex1)),
% 49.97/33.03 inference(modus_ponens,[status(thm)],[26521, 26520])).
% 49.97/33.03 tff(26523,plain,
% 49.97/33.03 (~v120(constB185)),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[26522, 1450, 26515])).
% 49.97/33.03 tff(26524,plain,
% 49.97/33.03 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB185)) | v130(constB185, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB185)) | v130(constB185, bitIndex1))),
% 49.97/33.03 inference(rewrite,[status(thm)],[])).
% 49.97/33.03 tff(26525,plain,
% 49.97/33.03 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB185)) | v130(constB185, bitIndex1))),
% 49.97/33.03 inference(quant_inst,[status(thm)],[])).
% 49.97/33.03 tff(26526,plain,
% 49.97/33.03 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB185)) | v130(constB185, bitIndex1)),
% 49.97/33.03 inference(modus_ponens,[status(thm)],[26525, 26524])).
% 49.97/33.03 tff(26527,plain,
% 49.97/33.03 (~v121(constB185)),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[26526, 1707, 26515])).
% 49.97/33.03 tff(26528,plain,
% 49.97/33.03 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB185)) | v130(constB185, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB185)) | v130(constB185, bitIndex2))),
% 49.97/33.03 inference(rewrite,[status(thm)],[])).
% 49.97/33.03 tff(26529,plain,
% 49.97/33.03 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB185)) | v130(constB185, bitIndex2))),
% 49.97/33.03 inference(quant_inst,[status(thm)],[])).
% 49.97/33.03 tff(26530,plain,
% 49.97/33.03 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB185)) | v130(constB185, bitIndex2)),
% 49.97/33.03 inference(modus_ponens,[status(thm)],[26529, 26528])).
% 49.97/33.03 tff(26531,plain,
% 49.97/33.03 (~v123(constB185)),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[26530, 836, 26489])).
% 49.97/33.03 tff(26532,plain,
% 49.97/33.03 ((~v129(constB186, bitIndex0)) | (~v100(constB186))),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[24533, 1088, 26412])).
% 49.97/33.03 tff(26533,plain,
% 49.97/33.03 (~v129(constB186, bitIndex0)),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[26532, 26471])).
% 49.97/33.03 tff(26534,plain,
% 49.97/33.03 (~v127(constB185, bitIndex0)),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[24526, 26533])).
% 49.97/33.03 tff(26535,plain,
% 49.97/33.03 (~v130(constB185, bitIndex0)),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[24521, 26534])).
% 49.97/33.03 tff(26536,plain,
% 49.97/33.03 ($false),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[24320, 908, 26535, 26531, 26527, 26523, 26519, 26497, 26493])).
% 49.97/33.03 tff(26537,plain,(v90(constB186, bitIndex0) | v90(constB186, bitIndex1) | v90(constB186, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 49.97/33.03 tff(26538,plain,
% 49.97/33.03 (v90(constB186, bitIndex0)),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[26537, 26409, 26400])).
% 49.97/33.03 tff(26539,plain,
% 49.97/33.03 ($false),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[24543, 26538, 26391])).
% 49.97/33.03 tff(26540,plain,(v90(constB187, bitIndex1) | v90(constB187, bitIndex2) | v120(constB187)), inference(lemma,lemma(discharge,[]))).
% 49.97/33.03 tff(26541,plain,
% 49.97/33.03 (v120(constB187)),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[26540, 24513, 24469])).
% 49.97/33.03 tff(26542,plain,
% 49.97/33.03 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB187) | (~v120(constB187)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB187) | (~v120(constB187)))),
% 49.97/33.03 inference(rewrite,[status(thm)],[])).
% 49.97/33.03 tff(26543,plain,
% 49.97/33.03 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB187) | (~v120(constB187)))),
% 49.97/33.03 inference(quant_inst,[status(thm)],[])).
% 49.97/33.03 tff(26544,plain,
% 49.97/33.03 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB187) | (~v120(constB187))),
% 49.97/33.03 inference(modus_ponens,[status(thm)],[26543, 26542])).
% 49.97/33.03 tff(26545,plain,
% 49.97/33.03 (v118(constB187)),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[26544, 1302, 26541])).
% 49.97/33.03 tff(26546,plain,
% 49.97/33.03 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB187) | (~v118(constB187)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB187) | (~v118(constB187)))),
% 49.97/33.03 inference(rewrite,[status(thm)],[])).
% 49.97/33.03 tff(26547,plain,
% 49.97/33.03 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB187) | (~v118(constB187)))),
% 49.97/33.03 inference(quant_inst,[status(thm)],[])).
% 49.97/33.03 tff(26548,plain,
% 49.97/33.03 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB187) | (~v118(constB187))),
% 49.97/33.03 inference(modus_ponens,[status(thm)],[26547, 26546])).
% 49.97/33.03 tff(26549,plain,
% 49.97/33.03 (v117(constB187)),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[26548, 166, 26545])).
% 49.97/33.03 tff(26550,plain,
% 49.97/33.03 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB187) | (~v117(constB187)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB187) | (~v117(constB187)))),
% 49.97/33.03 inference(rewrite,[status(thm)],[])).
% 49.97/33.03 tff(26551,plain,
% 49.97/33.03 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB187) | (~v117(constB187)))),
% 49.97/33.03 inference(quant_inst,[status(thm)],[])).
% 49.97/33.03 tff(26552,plain,
% 49.97/33.03 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB187) | (~v117(constB187))),
% 49.97/33.03 inference(modus_ponens,[status(thm)],[26551, 26550])).
% 49.97/33.03 tff(26553,plain,
% 49.97/33.03 (v116(constB187)),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[26552, 177, 26549])).
% 49.97/33.03 tff(26554,plain,
% 49.97/33.03 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB187) | (~v116(constB187)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB187) | (~v116(constB187)))),
% 49.97/33.03 inference(rewrite,[status(thm)],[])).
% 49.97/33.03 tff(26555,plain,
% 49.97/33.03 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB187) | (~v116(constB187)))),
% 49.97/33.03 inference(quant_inst,[status(thm)],[])).
% 49.97/33.03 tff(26556,plain,
% 49.97/33.03 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB187) | (~v116(constB187))),
% 49.97/33.03 inference(modus_ponens,[status(thm)],[26555, 26554])).
% 49.97/33.03 tff(26557,plain,
% 49.97/33.03 (v115(constB187)),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[26556, 188, 26553])).
% 49.97/33.03 tff(26558,plain,
% 49.97/33.03 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB187) | (~v115(constB187)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB187) | (~v115(constB187)))),
% 49.97/33.03 inference(rewrite,[status(thm)],[])).
% 49.97/33.03 tff(26559,plain,
% 49.97/33.03 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB187) | (~v115(constB187)))),
% 49.97/33.03 inference(quant_inst,[status(thm)],[])).
% 49.97/33.03 tff(26560,plain,
% 49.97/33.03 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB187) | (~v115(constB187))),
% 49.97/33.03 inference(modus_ponens,[status(thm)],[26559, 26558])).
% 49.97/33.03 tff(26561,plain,
% 49.97/33.03 (v114(constB187)),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[26560, 199, 26557])).
% 49.97/33.03 tff(26562,plain,
% 49.97/33.03 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB187) | (~v114(constB187)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB187) | (~v114(constB187)))),
% 49.97/33.03 inference(rewrite,[status(thm)],[])).
% 49.97/33.03 tff(26563,plain,
% 49.97/33.03 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB187) | (~v114(constB187)))),
% 49.97/33.03 inference(quant_inst,[status(thm)],[])).
% 49.97/33.03 tff(26564,plain,
% 49.97/33.03 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB187) | (~v114(constB187))),
% 49.97/33.03 inference(modus_ponens,[status(thm)],[26563, 26562])).
% 49.97/33.03 tff(26565,plain,
% 49.97/33.03 (v113(constB187)),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[26564, 210, 26561])).
% 49.97/33.03 tff(26566,assumption,(~v108(constB187)), introduced(assumption)).
% 49.97/33.03 tff(26567,plain,
% 49.97/33.03 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB187) | (~v112(constB187)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB187) | (~v112(constB187)))),
% 49.97/33.03 inference(rewrite,[status(thm)],[])).
% 49.97/33.03 tff(26568,plain,
% 49.97/33.03 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB187) | (~v112(constB187)))),
% 49.97/33.03 inference(quant_inst,[status(thm)],[])).
% 49.97/33.03 tff(26569,plain,
% 49.97/33.03 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB187) | (~v112(constB187))),
% 49.97/33.03 inference(modus_ponens,[status(thm)],[26568, 26567])).
% 49.97/33.03 tff(26570,plain,
% 49.97/33.03 (~v112(constB187)),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[26569, 236, 26566])).
% 49.97/33.03 tff(26571,plain,
% 49.97/33.03 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB187) | (~v26(constB187)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB187) | (~v26(constB187)))),
% 49.97/33.03 inference(rewrite,[status(thm)],[])).
% 49.97/33.03 tff(26572,plain,
% 49.97/33.03 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB187) | (~v26(constB187)))),
% 49.97/33.03 inference(quant_inst,[status(thm)],[])).
% 49.97/33.03 tff(26573,plain,
% 49.97/33.03 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB187) | (~v26(constB187))),
% 49.97/33.03 inference(modus_ponens,[status(thm)],[26572, 26571])).
% 49.97/33.03 tff(26574,plain,
% 49.97/33.03 (~v26(constB187)),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[26573, 961, 26566])).
% 49.97/33.03 tff(26575,assumption,(v113(constB187)), introduced(assumption)).
% 49.97/33.03 tff(26576,plain,
% 49.97/33.03 (((~![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)))),
% 49.97/33.03 inference(rewrite,[status(thm)],[])).
% 49.97/33.03 tff(26577,plain,
% 49.97/33.03 ((v26(constB187) | (~v113(constB187)) | v112(constB187)) <=> (v26(constB187) | v112(constB187) | (~v113(constB187)))),
% 49.97/33.03 inference(rewrite,[status(thm)],[])).
% 49.97/33.03 tff(26578,plain,
% 49.97/33.03 (((~![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))))),
% 49.97/33.03 inference(monotonicity,[status(thm)],[26577])).
% 49.97/33.03 tff(26579,plain,
% 49.97/33.03 (((~![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)))),
% 49.97/33.03 inference(transitivity,[status(thm)],[26578, 26576])).
% 49.97/33.03 tff(26580,plain,
% 49.97/33.03 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB187) | (~v113(constB187)) | v112(constB187))),
% 49.97/33.03 inference(quant_inst,[status(thm)],[])).
% 49.97/33.03 tff(26581,plain,
% 49.97/33.03 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB187) | v112(constB187) | (~v113(constB187))),
% 49.97/33.03 inference(modus_ponens,[status(thm)],[26580, 26579])).
% 49.97/33.03 tff(26582,plain,
% 49.97/33.03 (v26(constB187) | v112(constB187)),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[26581, 224, 26575])).
% 49.97/33.03 tff(26583,plain,
% 49.97/33.03 ($false),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[26582, 26574, 26570])).
% 49.97/33.03 tff(26584,plain,(v108(constB187) | (~v113(constB187))), inference(lemma,lemma(discharge,[]))).
% 49.97/33.03 tff(26585,plain,
% 49.97/33.03 (v108(constB187)),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[26584, 26565])).
% 49.97/33.03 tff(26586,plain,
% 49.97/33.03 (nextState(constB187, constB188) <=> nextState(constB187, constB188)),
% 49.97/33.03 inference(rewrite,[status(thm)],[])).
% 49.97/33.03 tff(26587,axiom,(nextState(constB187, constB188)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_187_1')).
% 49.97/33.03 tff(26588,plain,
% 49.97/33.03 (nextState(constB187, constB188)),
% 49.97/33.03 inference(modus_ponens,[status(thm)],[26587, 26586])).
% 49.97/33.03 tff(26589,plain,
% 49.97/33.03 (((~![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)))),
% 49.97/33.03 inference(rewrite,[status(thm)],[])).
% 49.97/33.03 tff(26590,plain,
% 49.97/33.03 (((~nextState(constB187, constB188)) | (~v108(constB187)) | v110(constB188)) <=> ((~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187)))),
% 49.97/33.03 inference(rewrite,[status(thm)],[])).
% 49.97/33.03 tff(26591,plain,
% 49.97/33.03 (((~![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))))),
% 49.97/33.03 inference(monotonicity,[status(thm)],[26590])).
% 49.97/33.03 tff(26592,plain,
% 49.97/33.03 (((~![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)))),
% 49.97/33.03 inference(transitivity,[status(thm)],[26591, 26589])).
% 49.97/33.03 tff(26593,plain,
% 49.97/33.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB187, constB188)) | (~v108(constB187)) | v110(constB188))),
% 49.97/33.03 inference(quant_inst,[status(thm)],[])).
% 49.97/33.03 tff(26594,plain,
% 49.97/33.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB187, constB188)) | v110(constB188) | (~v108(constB187))),
% 49.97/33.03 inference(modus_ponens,[status(thm)],[26593, 26592])).
% 49.97/33.03 tff(26595,plain,
% 49.97/33.03 (v110(constB188) | (~v108(constB187))),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[26594, 253, 26588])).
% 49.97/33.03 tff(26596,plain,
% 49.97/33.03 (v110(constB188)),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[26595, 26585])).
% 49.97/33.03 tff(26597,plain,
% 49.97/33.03 (((~![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)))),
% 49.97/33.03 inference(rewrite,[status(thm)],[])).
% 49.97/33.03 tff(26598,plain,
% 49.97/33.03 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB187) | (~nextState(constB187, constB188)) | (~v104(constB188)))),
% 49.97/33.03 inference(quant_inst,[status(thm)],[])).
% 49.97/33.03 tff(26599,plain,
% 49.97/33.03 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB187) | (~nextState(constB187, constB188)) | (~v104(constB188))),
% 49.97/33.03 inference(modus_ponens,[status(thm)],[26598, 26597])).
% 49.97/33.03 tff(26600,plain,
% 49.97/33.03 (~v104(constB188)),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[26599, 271, 26588, 24445])).
% 49.97/33.03 tff(26601,plain,
% 49.97/33.03 (((~![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))),
% 49.97/33.03 inference(rewrite,[status(thm)],[])).
% 49.97/33.03 tff(26602,plain,
% 49.97/33.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB187, constB188)) | v102(constB188) | v104(constB188))),
% 49.97/33.03 inference(quant_inst,[status(thm)],[])).
% 49.97/33.03 tff(26603,plain,
% 49.97/33.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB187, constB188)) | v102(constB188) | v104(constB188)),
% 49.97/33.03 inference(modus_ponens,[status(thm)],[26602, 26601])).
% 49.97/33.03 tff(26604,plain,
% 49.97/33.03 (v102(constB188) | v104(constB188)),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[26603, 285, 26588])).
% 49.97/33.03 tff(26605,plain,
% 49.97/33.03 (v102(constB188)),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[26604, 26600])).
% 49.97/33.03 tff(26606,plain,
% 49.97/33.03 (v1(constB188) <=> v1(constB188)),
% 49.97/33.03 inference(rewrite,[status(thm)],[])).
% 49.97/33.03 tff(26607,axiom,(v1(constB188)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_188_1')).
% 49.97/33.03 tff(26608,plain,
% 49.97/33.03 (v1(constB188)),
% 49.97/33.03 inference(modus_ponens,[status(thm)],[26607, 26606])).
% 49.97/33.03 tff(26609,plain,
% 49.97/33.03 (((~![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)))),
% 49.97/33.03 inference(rewrite,[status(thm)],[])).
% 49.97/33.03 tff(26610,plain,
% 49.97/33.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB187, constB188)) | v101(constB188) | (~v102(constB188)) | (~v1(constB188)))),
% 49.97/33.03 inference(quant_inst,[status(thm)],[])).
% 49.97/33.03 tff(26611,plain,
% 49.97/33.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB187, constB188)) | v101(constB188) | (~v102(constB188)) | (~v1(constB188))),
% 49.97/33.03 inference(modus_ponens,[status(thm)],[26610, 26609])).
% 49.97/33.03 tff(26612,plain,
% 49.97/33.03 (v101(constB188) | (~v102(constB188))),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[26611, 303, 26588, 26608])).
% 49.97/33.03 tff(26613,plain,
% 49.97/33.03 (v101(constB188)),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[26612, 26605])).
% 49.97/33.03 tff(26614,plain,
% 49.97/33.03 (((~![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)))),
% 49.97/33.03 inference(rewrite,[status(thm)],[])).
% 49.97/33.03 tff(26615,plain,
% 49.97/33.03 (((~nextState(constB187, constB188)) | (~v101(constB188)) | (~v110(constB188)) | v100(constB188)) <=> ((~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188)))),
% 49.97/33.03 inference(rewrite,[status(thm)],[])).
% 49.97/33.03 tff(26616,plain,
% 49.97/33.03 (((~![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))))),
% 49.97/33.03 inference(monotonicity,[status(thm)],[26615])).
% 49.97/33.03 tff(26617,plain,
% 49.97/33.03 (((~![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)))),
% 49.97/33.03 inference(transitivity,[status(thm)],[26616, 26614])).
% 49.97/33.03 tff(26618,plain,
% 49.97/33.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB187, constB188)) | (~v101(constB188)) | (~v110(constB188)) | v100(constB188))),
% 49.97/33.03 inference(quant_inst,[status(thm)],[])).
% 49.97/33.03 tff(26619,plain,
% 49.97/33.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB187, constB188)) | v100(constB188) | (~v101(constB188)) | (~v110(constB188))),
% 49.97/33.03 inference(modus_ponens,[status(thm)],[26618, 26617])).
% 49.97/33.03 tff(26620,plain,
% 49.97/33.03 (v100(constB188) | (~v101(constB188)) | (~v110(constB188))),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[26619, 318, 26588])).
% 49.97/33.03 tff(26621,plain,
% 49.97/33.03 (v100(constB188) | (~v110(constB188))),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[26620, 26613])).
% 49.97/33.03 tff(26622,plain,
% 49.97/33.03 (v100(constB188)),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[26621, 26596])).
% 49.97/33.03 tff(26623,plain,
% 49.97/33.03 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB187)) | (~v130(constB187, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB187)) | (~v130(constB187, bitIndex2)))),
% 49.97/33.03 inference(rewrite,[status(thm)],[])).
% 49.97/33.03 tff(26624,plain,
% 49.97/33.03 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB187)) | (~v130(constB187, bitIndex2)))),
% 49.97/33.03 inference(quant_inst,[status(thm)],[])).
% 49.97/33.03 tff(26625,plain,
% 49.97/33.03 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB187)) | (~v130(constB187, bitIndex2))),
% 49.97/33.03 inference(modus_ponens,[status(thm)],[26624, 26623])).
% 49.97/33.03 tff(26626,plain,
% 49.97/33.03 (~v130(constB187, bitIndex2)),
% 49.97/33.03 inference(unit_resolution,[status(thm)],[26625, 1383, 26541])).
% 49.97/33.03 tff(26627,assumption,(v26(constB187)), introduced(assumption)).
% 49.97/33.03 tff(26628,plain,
% 49.97/33.03 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB187))),
% 49.97/33.03 inference(quant_inst,[status(thm)],[])).
% 49.97/33.04 tff(26629,plain,
% 49.97/33.04 ($false),
% 49.97/33.04 inference(unit_resolution,[status(thm)],[26628, 16, 26627])).
% 49.97/33.04 tff(26630,plain,(~v26(constB187)), inference(lemma,lemma(discharge,[]))).
% 49.97/33.04 tff(26631,plain,
% 49.97/33.04 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB187, bitIndex2)) | v26(constB187) | v130(constB187, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB187, bitIndex2)) | v26(constB187) | v130(constB187, bitIndex2))),
% 49.97/33.04 inference(rewrite,[status(thm)],[])).
% 49.97/33.04 tff(26632,plain,
% 49.97/33.04 ((v26(constB187) | v130(constB187, bitIndex2) | (~v127(constB187, bitIndex2))) <=> ((~v127(constB187, bitIndex2)) | v26(constB187) | v130(constB187, bitIndex2))),
% 49.97/33.04 inference(rewrite,[status(thm)],[])).
% 49.97/33.04 tff(26633,plain,
% 49.97/33.04 (((~![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)))) | ((~v127(constB187, bitIndex2)) | v26(constB187) | v130(constB187, bitIndex2)))),
% 49.97/33.04 inference(monotonicity,[status(thm)],[26632])).
% 49.97/33.04 tff(26634,plain,
% 49.97/33.04 (((~![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)))) | (~v127(constB187, bitIndex2)) | v26(constB187) | v130(constB187, bitIndex2))),
% 49.97/33.04 inference(transitivity,[status(thm)],[26633, 26631])).
% 49.97/33.04 tff(26635,plain,
% 49.97/33.04 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB187) | v130(constB187, bitIndex2) | (~v127(constB187, bitIndex2)))),
% 49.97/33.04 inference(quant_inst,[status(thm)],[])).
% 49.97/33.04 tff(26636,plain,
% 49.97/33.04 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB187, bitIndex2)) | v26(constB187) | v130(constB187, bitIndex2)),
% 49.97/33.04 inference(modus_ponens,[status(thm)],[26635, 26634])).
% 49.97/33.04 tff(26637,plain,
% 49.97/33.04 ((~v127(constB187, bitIndex2)) | v130(constB187, bitIndex2)),
% 49.97/33.04 inference(unit_resolution,[status(thm)],[26636, 1210, 26630])).
% 49.97/33.04 tff(26638,plain,
% 49.97/33.04 (~v127(constB187, bitIndex2)),
% 49.97/33.04 inference(unit_resolution,[status(thm)],[26637, 26626])).
% 49.97/33.04 tff(26639,plain,
% 49.97/33.04 (((~![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)))),
% 49.97/33.04 inference(rewrite,[status(thm)],[])).
% 49.97/33.04 tff(26640,plain,
% 49.97/33.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB187, constB188)) | v127(constB187, bitIndex2) | (~v129(constB188, bitIndex2)))),
% 49.97/33.04 inference(quant_inst,[status(thm)],[])).
% 49.97/33.04 tff(26641,plain,
% 49.97/33.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB187, constB188)) | v127(constB187, bitIndex2) | (~v129(constB188, bitIndex2))),
% 49.97/33.04 inference(modus_ponens,[status(thm)],[26640, 26639])).
% 49.97/33.04 tff(26642,plain,
% 49.97/33.04 (v127(constB187, bitIndex2) | (~v129(constB188, bitIndex2))),
% 49.97/33.04 inference(unit_resolution,[status(thm)],[26641, 1243, 26588])).
% 49.97/33.04 tff(26643,plain,
% 49.97/33.04 (~v129(constB188, bitIndex2)),
% 49.97/33.04 inference(unit_resolution,[status(thm)],[26642, 26638])).
% 49.97/33.04 tff(26644,plain,
% 49.97/33.04 (((~![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)))),
% 49.97/33.04 inference(rewrite,[status(thm)],[])).
% 49.97/33.04 tff(26645,plain,
% 49.97/33.04 (((~v90(constB188, bitIndex2)) | (~v100(constB188)) | v129(constB188, bitIndex2)) <=> ((~v90(constB188, bitIndex2)) | v129(constB188, bitIndex2) | (~v100(constB188)))),
% 49.97/33.04 inference(rewrite,[status(thm)],[])).
% 49.97/33.04 tff(26646,plain,
% 49.97/33.04 (((~![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))))),
% 49.97/33.04 inference(monotonicity,[status(thm)],[26645])).
% 49.97/33.04 tff(26647,plain,
% 49.97/33.04 (((~![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)))),
% 49.97/33.04 inference(transitivity,[status(thm)],[26646, 26644])).
% 49.97/33.04 tff(26648,plain,
% 49.97/33.04 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB188, bitIndex2)) | (~v100(constB188)) | v129(constB188, bitIndex2))),
% 49.97/33.04 inference(quant_inst,[status(thm)],[])).
% 49.97/33.04 tff(26649,plain,
% 49.97/33.04 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB188, bitIndex2)) | v129(constB188, bitIndex2) | (~v100(constB188))),
% 49.97/33.04 inference(modus_ponens,[status(thm)],[26648, 26647])).
% 49.97/33.04 tff(26650,plain,
% 49.97/33.04 ((~v90(constB188, bitIndex2)) | (~v100(constB188))),
% 49.97/33.04 inference(unit_resolution,[status(thm)],[26649, 1258, 26643])).
% 49.97/33.04 tff(26651,plain,
% 49.97/33.04 (~v90(constB188, bitIndex2)),
% 49.97/33.04 inference(unit_resolution,[status(thm)],[26650, 26622])).
% 49.97/33.04 tff(26652,plain,
% 49.97/33.04 ((~v1(constB189)) <=> (~v1(constB189))),
% 49.97/33.04 inference(rewrite,[status(thm)],[])).
% 49.97/33.04 tff(26653,axiom,(~v1(constB189)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_189_1_1')).
% 49.97/33.04 tff(26654,plain,
% 49.97/33.04 (~v1(constB189)),
% 49.97/33.04 inference(modus_ponens,[status(thm)],[26653, 26652])).
% 49.97/33.04 tff(26655,plain,
% 49.97/33.04 (nextState(constB188, constB189) <=> nextState(constB188, constB189)),
% 49.97/33.04 inference(rewrite,[status(thm)],[])).
% 49.97/33.04 tff(26656,axiom,(nextState(constB188, constB189)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_188_1')).
% 49.97/33.04 tff(26657,plain,
% 49.97/33.04 (nextState(constB188, constB189)),
% 49.97/33.04 inference(modus_ponens,[status(thm)],[26656, 26655])).
% 49.97/33.04 tff(26658,plain,
% 49.97/33.04 (((~![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)))),
% 49.97/33.04 inference(rewrite,[status(thm)],[])).
% 49.97/33.04 tff(26659,plain,
% 49.97/33.04 (((~nextState(constB188, constB189)) | (~v101(constB189)) | v1(constB189)) <=> (v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189)))),
% 49.97/33.04 inference(rewrite,[status(thm)],[])).
% 49.97/33.04 tff(26660,plain,
% 49.97/33.04 (((~![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))))),
% 49.97/33.04 inference(monotonicity,[status(thm)],[26659])).
% 49.97/33.04 tff(26661,plain,
% 49.97/33.04 (((~![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)))),
% 49.97/33.04 inference(transitivity,[status(thm)],[26660, 26658])).
% 49.97/33.04 tff(26662,plain,
% 49.97/33.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB188, constB189)) | (~v101(constB189)) | v1(constB189))),
% 49.97/33.04 inference(quant_inst,[status(thm)],[])).
% 49.97/33.04 tff(26663,plain,
% 49.97/33.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB189) | (~nextState(constB188, constB189)) | (~v101(constB189))),
% 49.97/33.04 inference(modus_ponens,[status(thm)],[26662, 26661])).
% 49.97/33.04 tff(26664,plain,
% 49.97/33.04 (~v101(constB189)),
% 49.97/33.04 inference(unit_resolution,[status(thm)],[26663, 49, 26657, 26654])).
% 49.97/33.04 tff(26665,plain,
% 49.97/33.04 (((~![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)))),
% 49.97/33.04 inference(rewrite,[status(thm)],[])).
% 49.97/33.04 tff(26666,plain,
% 49.97/33.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB188, constB189)) | v101(constB189) | (~v100(constB189)))),
% 49.97/33.04 inference(quant_inst,[status(thm)],[])).
% 49.97/33.04 tff(26667,plain,
% 49.97/33.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB188, constB189)) | v101(constB189) | (~v100(constB189))),
% 49.97/33.04 inference(modus_ponens,[status(thm)],[26666, 26665])).
% 49.97/33.04 tff(26668,plain,
% 49.97/33.04 (v101(constB189) | (~v100(constB189))),
% 49.97/33.04 inference(unit_resolution,[status(thm)],[26667, 66, 26657])).
% 49.97/33.04 tff(26669,plain,
% 49.97/33.04 (~v100(constB189)),
% 49.97/33.04 inference(unit_resolution,[status(thm)],[26668, 26664])).
% 49.97/33.04 tff(26670,plain,
% 49.97/33.04 (((~![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)))),
% 49.97/33.04 inference(rewrite,[status(thm)],[])).
% 49.97/33.04 tff(26671,plain,
% 49.97/33.04 (((~nextState(constB188, constB189)) | v90(constB188, bitIndex2) | v100(constB189) | (~v90(constB189, bitIndex2))) <=> (v90(constB188, bitIndex2) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex2)))),
% 49.97/33.04 inference(rewrite,[status(thm)],[])).
% 49.97/33.04 tff(26672,plain,
% 49.97/33.04 (((~![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))))),
% 49.97/33.04 inference(monotonicity,[status(thm)],[26671])).
% 49.97/33.04 tff(26673,plain,
% 49.97/33.04 (((~![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)))),
% 49.97/33.04 inference(transitivity,[status(thm)],[26672, 26670])).
% 49.97/33.04 tff(26674,plain,
% 49.97/33.04 ((~![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)))),
% 49.97/33.04 inference(quant_inst,[status(thm)],[])).
% 49.97/33.04 tff(26675,plain,
% 49.97/33.04 ((~![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))),
% 49.97/33.04 inference(modus_ponens,[status(thm)],[26674, 26673])).
% 49.97/33.04 tff(26676,plain,
% 49.97/33.04 (v90(constB188, bitIndex2) | v100(constB189) | (~v90(constB189, bitIndex2))),
% 49.97/33.04 inference(unit_resolution,[status(thm)],[26675, 81, 26657])).
% 49.97/33.04 tff(26677,plain,
% 49.97/33.04 (v90(constB188, bitIndex2) | (~v90(constB189, bitIndex2))),
% 49.97/33.04 inference(unit_resolution,[status(thm)],[26676, 26669])).
% 49.97/33.04 tff(26678,plain,
% 49.97/33.04 (~v90(constB189, bitIndex2)),
% 49.97/33.04 inference(unit_resolution,[status(thm)],[26677, 26651])).
% 49.97/33.04 tff(26679,plain,
% 49.97/33.04 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB187)) | v130(constB187, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB187)) | v130(constB187, bitIndex1))),
% 49.97/33.04 inference(rewrite,[status(thm)],[])).
% 49.97/33.04 tff(26680,plain,
% 49.97/33.04 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB187)) | v130(constB187, bitIndex1))),
% 49.97/33.04 inference(quant_inst,[status(thm)],[])).
% 49.97/33.04 tff(26681,plain,
% 49.97/33.04 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB187)) | v130(constB187, bitIndex1)),
% 49.97/33.04 inference(modus_ponens,[status(thm)],[26680, 26679])).
% 49.97/33.04 tff(26682,plain,
% 49.97/33.04 (v130(constB187, bitIndex1)),
% 49.97/33.04 inference(unit_resolution,[status(thm)],[26681, 1450, 26541])).
% 49.97/33.04 tff(26683,plain,
% 49.97/33.04 (((~![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))) | v26(constB187) | (~v130(constB187, bitIndex1)) | v127(constB187, bitIndex1))),
% 49.97/33.04 inference(rewrite,[status(thm)],[])).
% 49.97/33.04 tff(26684,plain,
% 49.97/33.04 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB187) | (~v130(constB187, bitIndex1)) | v127(constB187, bitIndex1))),
% 49.97/33.04 inference(quant_inst,[status(thm)],[])).
% 49.97/33.04 tff(26685,plain,
% 49.97/33.04 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB187) | (~v130(constB187, bitIndex1)) | v127(constB187, bitIndex1)),
% 49.97/33.04 inference(modus_ponens,[status(thm)],[26684, 26683])).
% 49.97/33.04 tff(26686,plain,
% 49.97/33.04 ((~v130(constB187, bitIndex1)) | v127(constB187, bitIndex1)),
% 49.97/33.04 inference(unit_resolution,[status(thm)],[26685, 681, 26630])).
% 49.97/33.04 tff(26687,plain,
% 49.97/33.04 (v127(constB187, bitIndex1)),
% 49.97/33.04 inference(unit_resolution,[status(thm)],[26686, 26682])).
% 49.97/33.04 tff(26688,plain,
% 49.97/33.04 (((~![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))),
% 49.97/33.04 inference(rewrite,[status(thm)],[])).
% 49.97/33.04 tff(26689,plain,
% 49.97/33.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB187, constB188)) | (~v127(constB187, bitIndex1)) | v129(constB188, bitIndex1))),
% 49.97/33.04 inference(quant_inst,[status(thm)],[])).
% 49.97/33.04 tff(26690,plain,
% 49.97/33.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB187, constB188)) | (~v127(constB187, bitIndex1)) | v129(constB188, bitIndex1)),
% 49.97/33.04 inference(modus_ponens,[status(thm)],[26689, 26688])).
% 49.97/33.04 tff(26691,plain,
% 49.97/33.04 ((~v127(constB187, bitIndex1)) | v129(constB188, bitIndex1)),
% 49.97/33.04 inference(unit_resolution,[status(thm)],[26690, 696, 26588])).
% 49.97/33.04 tff(26692,plain,
% 49.97/33.04 (v129(constB188, bitIndex1)),
% 49.97/33.04 inference(unit_resolution,[status(thm)],[26691, 26687])).
% 49.97/33.04 tff(26693,plain,
% 49.97/33.04 (((~![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)))),
% 49.97/33.04 inference(rewrite,[status(thm)],[])).
% 49.97/33.04 tff(26694,plain,
% 49.97/33.04 ((v90(constB188, bitIndex1) | (~v100(constB188)) | (~v129(constB188, bitIndex1))) <=> (v90(constB188, bitIndex1) | (~v129(constB188, bitIndex1)) | (~v100(constB188)))),
% 49.97/33.04 inference(rewrite,[status(thm)],[])).
% 49.97/33.04 tff(26695,plain,
% 49.97/33.04 (((~![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))))),
% 49.97/33.04 inference(monotonicity,[status(thm)],[26694])).
% 49.97/33.04 tff(26696,plain,
% 49.97/33.04 (((~![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)))),
% 49.97/33.04 inference(transitivity,[status(thm)],[26695, 26693])).
% 49.97/33.04 tff(26697,plain,
% 49.97/33.04 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB188, bitIndex1) | (~v100(constB188)) | (~v129(constB188, bitIndex1)))),
% 49.97/33.04 inference(quant_inst,[status(thm)],[])).
% 49.97/33.04 tff(26698,plain,
% 49.97/33.04 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB188, bitIndex1) | (~v129(constB188, bitIndex1)) | (~v100(constB188))),
% 49.97/33.04 inference(modus_ponens,[status(thm)],[26697, 26696])).
% 49.97/33.04 tff(26699,plain,
% 49.97/33.04 (v90(constB188, bitIndex1) | (~v100(constB188))),
% 49.97/33.04 inference(unit_resolution,[status(thm)],[26698, 711, 26692])).
% 49.97/33.04 tff(26700,plain,
% 49.97/33.04 (v90(constB188, bitIndex1)),
% 49.97/33.04 inference(unit_resolution,[status(thm)],[26699, 26622])).
% 49.97/33.04 tff(26701,plain,
% 49.97/33.04 (((~![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))),
% 49.97/33.04 inference(rewrite,[status(thm)],[])).
% 49.97/33.04 tff(26702,plain,
% 49.97/33.04 (((~nextState(constB188, constB189)) | (~v90(constB188, bitIndex1)) | v100(constB189) | v90(constB189, bitIndex1)) <=> ((~v90(constB188, bitIndex1)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, bitIndex1))),
% 49.97/33.04 inference(rewrite,[status(thm)],[])).
% 49.97/33.04 tff(26703,plain,
% 49.97/33.04 (((~![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)))),
% 49.97/33.04 inference(monotonicity,[status(thm)],[26702])).
% 49.97/33.04 tff(26704,plain,
% 49.97/33.04 (((~![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))),
% 49.97/33.04 inference(transitivity,[status(thm)],[26703, 26701])).
% 49.97/33.04 tff(26705,plain,
% 49.97/33.04 ((~![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))),
% 49.97/33.04 inference(quant_inst,[status(thm)],[])).
% 49.97/33.04 tff(26706,plain,
% 49.97/33.04 ((~![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)),
% 49.97/33.04 inference(modus_ponens,[status(thm)],[26705, 26704])).
% 49.97/33.04 tff(26707,plain,
% 49.97/33.04 ((~v90(constB188, bitIndex1)) | v100(constB189) | v90(constB189, bitIndex1)),
% 49.97/33.04 inference(unit_resolution,[status(thm)],[26706, 747, 26657])).
% 49.97/33.04 tff(26708,plain,
% 49.97/33.04 ((~v90(constB188, bitIndex1)) | v90(constB189, bitIndex1)),
% 49.97/33.04 inference(unit_resolution,[status(thm)],[26707, 26669])).
% 49.97/33.04 tff(26709,plain,
% 49.97/33.04 (v90(constB189, bitIndex1)),
% 49.97/33.04 inference(unit_resolution,[status(thm)],[26708, 26700])).
% 49.97/33.04 tff(26710,plain,
% 49.97/33.04 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB187)) | (~v130(constB187, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB187)) | (~v130(constB187, bitIndex0)))),
% 49.97/33.04 inference(rewrite,[status(thm)],[])).
% 49.97/33.04 tff(26711,plain,
% 49.97/33.04 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB187)) | (~v130(constB187, bitIndex0)))),
% 49.97/33.04 inference(quant_inst,[status(thm)],[])).
% 49.97/33.04 tff(26712,plain,
% 49.97/33.04 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB187)) | (~v130(constB187, bitIndex0))),
% 49.97/33.04 inference(modus_ponens,[status(thm)],[26711, 26710])).
% 49.97/33.04 tff(26713,plain,
% 49.97/33.04 (~v130(constB187, bitIndex0)),
% 49.97/33.04 inference(unit_resolution,[status(thm)],[26712, 1492, 26541])).
% 49.97/33.04 tff(26714,plain,
% 49.97/33.04 (((~![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))),
% 49.97/33.04 inference(rewrite,[status(thm)],[])).
% 49.97/33.04 tff(26715,plain,
% 49.97/33.04 ((v26(constB187) | v130(constB187, bitIndex0) | (~v127(constB187, bitIndex0))) <=> ((~v127(constB187, bitIndex0)) | v26(constB187) | v130(constB187, bitIndex0))),
% 49.97/33.04 inference(rewrite,[status(thm)],[])).
% 49.97/33.04 tff(26716,plain,
% 49.97/33.04 (((~![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)))),
% 49.97/33.04 inference(monotonicity,[status(thm)],[26715])).
% 49.97/33.04 tff(26717,plain,
% 49.97/33.04 (((~![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))),
% 49.97/33.04 inference(transitivity,[status(thm)],[26716, 26714])).
% 49.97/33.04 tff(26718,plain,
% 49.97/33.04 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB187) | v130(constB187, bitIndex0) | (~v127(constB187, bitIndex0)))),
% 49.97/33.04 inference(quant_inst,[status(thm)],[])).
% 49.97/33.04 tff(26719,plain,
% 49.97/33.04 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB187, bitIndex0)) | v26(constB187) | v130(constB187, bitIndex0)),
% 49.97/33.04 inference(modus_ponens,[status(thm)],[26718, 26717])).
% 49.97/33.04 tff(26720,plain,
% 49.97/33.04 ((~v127(constB187, bitIndex0)) | v130(constB187, bitIndex0)),
% 49.97/33.04 inference(unit_resolution,[status(thm)],[26719, 524, 26630])).
% 49.97/33.04 tff(26721,plain,
% 49.97/33.04 (~v127(constB187, bitIndex0)),
% 49.97/33.04 inference(unit_resolution,[status(thm)],[26720, 26713])).
% 49.97/33.04 tff(26722,plain,
% 49.97/33.04 (((~![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)))),
% 49.97/33.04 inference(rewrite,[status(thm)],[])).
% 49.97/33.04 tff(26723,plain,
% 49.97/33.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB187, constB188)) | v127(constB187, bitIndex0) | (~v129(constB188, bitIndex0)))),
% 49.97/33.04 inference(quant_inst,[status(thm)],[])).
% 49.97/33.04 tff(26724,plain,
% 49.97/33.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB187, constB188)) | v127(constB187, bitIndex0) | (~v129(constB188, bitIndex0))),
% 49.97/33.04 inference(modus_ponens,[status(thm)],[26723, 26722])).
% 49.97/33.04 tff(26725,plain,
% 49.97/33.04 (v127(constB187, bitIndex0) | (~v129(constB188, bitIndex0))),
% 49.97/33.04 inference(unit_resolution,[status(thm)],[26724, 542, 26588])).
% 49.97/33.04 tff(26726,plain,
% 49.97/33.04 (~v129(constB188, bitIndex0)),
% 49.97/33.04 inference(unit_resolution,[status(thm)],[26725, 26721])).
% 49.97/33.04 tff(26727,plain,
% 49.97/33.04 (((~![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)))),
% 49.97/33.04 inference(rewrite,[status(thm)],[])).
% 49.97/33.04 tff(26728,plain,
% 49.97/33.04 (((~v90(constB188, bitIndex0)) | (~v100(constB188)) | v129(constB188, bitIndex0)) <=> ((~v90(constB188, bitIndex0)) | v129(constB188, bitIndex0) | (~v100(constB188)))),
% 49.97/33.04 inference(rewrite,[status(thm)],[])).
% 49.97/33.04 tff(26729,plain,
% 49.97/33.04 (((~![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))))),
% 49.97/33.04 inference(monotonicity,[status(thm)],[26728])).
% 49.97/33.04 tff(26730,plain,
% 49.97/33.04 (((~![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)))),
% 49.97/33.04 inference(transitivity,[status(thm)],[26729, 26727])).
% 49.97/33.04 tff(26731,plain,
% 49.97/33.04 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB188, bitIndex0)) | (~v100(constB188)) | v129(constB188, bitIndex0))),
% 49.97/33.04 inference(quant_inst,[status(thm)],[])).
% 49.97/33.04 tff(26732,plain,
% 49.97/33.04 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB188, bitIndex0)) | v129(constB188, bitIndex0) | (~v100(constB188))),
% 49.97/33.04 inference(modus_ponens,[status(thm)],[26731, 26730])).
% 49.97/33.04 tff(26733,plain,
% 49.97/33.04 ((~v90(constB188, bitIndex0)) | (~v100(constB188))),
% 49.97/33.04 inference(unit_resolution,[status(thm)],[26732, 557, 26726])).
% 49.97/33.04 tff(26734,plain,
% 49.97/33.04 (~v90(constB188, bitIndex0)),
% 49.97/33.04 inference(unit_resolution,[status(thm)],[26733, 26622])).
% 49.97/33.04 tff(26735,plain,
% 49.97/33.04 (((~![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)))),
% 49.97/33.04 inference(rewrite,[status(thm)],[])).
% 49.97/33.04 tff(26736,plain,
% 49.97/33.04 (((~nextState(constB188, constB189)) | v90(constB188, bitIndex0) | v100(constB189) | (~v90(constB189, bitIndex0))) <=> (v90(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex0)))),
% 49.97/33.04 inference(rewrite,[status(thm)],[])).
% 49.97/33.04 tff(26737,plain,
% 49.97/33.04 (((~![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))))),
% 49.97/33.04 inference(monotonicity,[status(thm)],[26736])).
% 49.97/33.04 tff(26738,plain,
% 49.97/33.04 (((~![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)))),
% 49.97/33.04 inference(transitivity,[status(thm)],[26737, 26735])).
% 49.97/33.04 tff(26739,plain,
% 49.97/33.04 ((~![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)))),
% 49.97/33.04 inference(quant_inst,[status(thm)],[])).
% 49.97/33.04 tff(26740,plain,
% 49.97/33.04 ((~![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))),
% 49.97/33.04 inference(modus_ponens,[status(thm)],[26739, 26738])).
% 49.97/33.04 tff(26741,plain,
% 49.97/33.04 (v90(constB188, bitIndex0) | v100(constB189) | (~v90(constB189, bitIndex0))),
% 49.97/33.04 inference(unit_resolution,[status(thm)],[26740, 123, 26657])).
% 49.97/33.04 tff(26742,plain,
% 49.97/33.04 (v90(constB188, bitIndex0) | (~v90(constB189, bitIndex0))),
% 49.97/33.04 inference(unit_resolution,[status(thm)],[26741, 26669])).
% 49.97/33.04 tff(26743,plain,
% 49.97/33.04 (~v90(constB189, bitIndex0)),
% 49.97/33.04 inference(unit_resolution,[status(thm)],[26742, 26734])).
% 49.97/33.04 tff(26744,plain,
% 49.97/33.04 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB189, bitIndex0) | (~v90(constB189, bitIndex1)) | v90(constB189, bitIndex2) | v121(constB189))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB189, bitIndex0) | (~v90(constB189, bitIndex1)) | v90(constB189, bitIndex2) | v121(constB189))),
% 49.97/33.04 inference(rewrite,[status(thm)],[])).
% 49.97/33.04 tff(26745,plain,
% 49.97/33.04 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB189, bitIndex0) | (~v90(constB189, bitIndex1)) | v90(constB189, bitIndex2) | v121(constB189))),
% 49.97/33.04 inference(quant_inst,[status(thm)],[])).
% 49.97/33.05 tff(26746,plain,
% 49.97/33.05 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB189, bitIndex0) | (~v90(constB189, bitIndex1)) | v90(constB189, bitIndex2) | v121(constB189)),
% 49.97/33.05 inference(modus_ponens,[status(thm)],[26745, 26744])).
% 49.97/33.05 tff(26747,plain,
% 49.97/33.05 (v121(constB189)),
% 49.97/33.05 inference(unit_resolution,[status(thm)],[26746, 1551, 26743, 26709, 26678])).
% 49.97/33.05 tff(26748,assumption,(v121(constB189)), introduced(assumption)).
% 49.97/33.05 tff(26749,plain,
% 49.97/33.05 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB189) | (~v121(constB189)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB189) | (~v121(constB189)))),
% 49.97/33.05 inference(rewrite,[status(thm)],[])).
% 49.97/33.05 tff(26750,plain,
% 49.97/33.05 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB189) | (~v121(constB189)))),
% 49.97/33.05 inference(quant_inst,[status(thm)],[])).
% 49.97/33.05 tff(26751,plain,
% 49.97/33.05 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB189) | (~v121(constB189))),
% 49.97/33.05 inference(modus_ponens,[status(thm)],[26750, 26749])).
% 49.97/33.05 tff(26752,plain,
% 49.97/33.05 (v117(constB189)),
% 49.97/33.05 inference(unit_resolution,[status(thm)],[26751, 1562, 26748])).
% 49.97/33.05 tff(26753,plain,
% 49.97/33.05 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB189) | (~v117(constB189)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB189) | (~v117(constB189)))),
% 49.97/33.05 inference(rewrite,[status(thm)],[])).
% 49.97/33.05 tff(26754,plain,
% 49.97/33.05 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB189) | (~v117(constB189)))),
% 49.97/33.05 inference(quant_inst,[status(thm)],[])).
% 49.97/33.05 tff(26755,plain,
% 49.97/33.05 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB189) | (~v117(constB189))),
% 49.97/33.05 inference(modus_ponens,[status(thm)],[26754, 26753])).
% 49.97/33.05 tff(26756,plain,
% 49.97/33.05 (v116(constB189)),
% 49.97/33.05 inference(unit_resolution,[status(thm)],[26755, 177, 26752])).
% 49.97/33.05 tff(26757,plain,
% 49.97/33.05 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB189) | (~v116(constB189)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB189) | (~v116(constB189)))),
% 49.97/33.05 inference(rewrite,[status(thm)],[])).
% 49.97/33.05 tff(26758,plain,
% 49.97/33.05 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB189) | (~v116(constB189)))),
% 49.97/33.05 inference(quant_inst,[status(thm)],[])).
% 49.97/33.05 tff(26759,plain,
% 49.97/33.05 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB189) | (~v116(constB189))),
% 49.97/33.05 inference(modus_ponens,[status(thm)],[26758, 26757])).
% 49.97/33.05 tff(26760,plain,
% 49.97/33.05 (v115(constB189)),
% 49.97/33.05 inference(unit_resolution,[status(thm)],[26759, 188, 26756])).
% 49.97/33.05 tff(26761,plain,
% 49.97/33.05 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB189) | (~v115(constB189)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB189) | (~v115(constB189)))),
% 49.97/33.05 inference(rewrite,[status(thm)],[])).
% 49.97/33.05 tff(26762,plain,
% 49.97/33.05 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB189) | (~v115(constB189)))),
% 49.97/33.05 inference(quant_inst,[status(thm)],[])).
% 49.97/33.05 tff(26763,plain,
% 49.97/33.05 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB189) | (~v115(constB189))),
% 49.97/33.05 inference(modus_ponens,[status(thm)],[26762, 26761])).
% 49.97/33.05 tff(26764,plain,
% 49.97/33.05 (v114(constB189)),
% 49.97/33.05 inference(unit_resolution,[status(thm)],[26763, 199, 26760])).
% 49.97/33.05 tff(26765,plain,
% 49.97/33.05 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB189) | (~v114(constB189)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB189) | (~v114(constB189)))),
% 49.97/33.05 inference(rewrite,[status(thm)],[])).
% 49.97/33.05 tff(26766,plain,
% 49.97/33.05 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB189) | (~v114(constB189)))),
% 49.97/33.05 inference(quant_inst,[status(thm)],[])).
% 49.97/33.05 tff(26767,plain,
% 49.97/33.05 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB189) | (~v114(constB189))),
% 49.97/33.05 inference(modus_ponens,[status(thm)],[26766, 26765])).
% 49.97/33.05 tff(26768,plain,
% 49.97/33.05 (v113(constB189)),
% 49.97/33.05 inference(unit_resolution,[status(thm)],[26767, 210, 26764])).
% 49.97/33.05 tff(26769,assumption,(v71(constB189)), introduced(assumption)).
% 49.97/33.05 tff(26770,plain,
% 49.97/33.05 ((~![VarCurr: $i] : (~v71(VarCurr))) | (~v71(constB189))),
% 49.97/33.05 inference(quant_inst,[status(thm)],[])).
% 49.97/33.05 tff(26771,plain,
% 49.97/33.05 ($false),
% 49.97/33.05 inference(unit_resolution,[status(thm)],[26770, 15160, 26769])).
% 49.97/33.05 tff(26772,plain,(~v71(constB189)), inference(lemma,lemma(discharge,[]))).
% 49.97/33.05 tff(26773,assumption,(v18(constB190)), introduced(assumption)).
% 49.97/33.05 tff(26774,plain,
% 49.97/33.05 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB190))),
% 49.97/33.05 inference(quant_inst,[status(thm)],[])).
% 49.97/33.05 tff(26775,plain,
% 49.97/33.05 ($false),
% 49.97/33.05 inference(unit_resolution,[status(thm)],[26774, 15052, 26773])).
% 49.97/33.05 tff(26776,plain,(~v18(constB190)), inference(lemma,lemma(discharge,[]))).
% 49.97/33.05 tff(26777,plain,
% 49.97/33.05 (v1(constB190) <=> v1(constB190)),
% 49.97/33.05 inference(rewrite,[status(thm)],[])).
% 49.97/33.05 tff(26778,axiom,(v1(constB190)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_190_1')).
% 49.97/33.05 tff(26779,plain,
% 49.97/33.05 (v1(constB190)),
% 49.97/33.05 inference(modus_ponens,[status(thm)],[26778, 26777])).
% 49.97/33.05 tff(26780,plain,
% 49.97/33.05 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB190) | (~v1(constB190)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB190) | (~v1(constB190)))),
% 49.97/33.05 inference(rewrite,[status(thm)],[])).
% 49.97/33.05 tff(26781,plain,
% 49.97/33.05 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB190) | (~v1(constB190)))),
% 49.97/33.05 inference(quant_inst,[status(thm)],[])).
% 49.97/33.05 tff(26782,plain,
% 49.97/33.05 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB190) | (~v1(constB190))),
% 49.97/33.05 inference(modus_ponens,[status(thm)],[26781, 26780])).
% 49.97/33.05 tff(26783,plain,
% 49.97/33.05 (v22(constB190)),
% 49.97/33.05 inference(unit_resolution,[status(thm)],[26782, 15065, 26779])).
% 49.97/33.05 tff(26784,plain,
% 49.97/33.05 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB190)) | (~v22(constB190)) | v18(constB190))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB190)) | (~v22(constB190)) | v18(constB190))),
% 49.97/33.05 inference(rewrite,[status(thm)],[])).
% 49.97/33.05 tff(26785,plain,
% 49.97/33.05 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB190)) | (~v22(constB190)) | v18(constB190))),
% 49.97/33.05 inference(quant_inst,[status(thm)],[])).
% 49.97/33.05 tff(26786,plain,
% 49.97/33.05 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB190)) | (~v22(constB190)) | v18(constB190)),
% 49.97/33.05 inference(modus_ponens,[status(thm)],[26785, 26784])).
% 49.97/33.05 tff(26787,plain,
% 49.97/33.05 ((~v19(constB190)) | v18(constB190)),
% 49.97/33.05 inference(unit_resolution,[status(thm)],[26786, 15079, 26783])).
% 49.97/33.05 tff(26788,plain,
% 49.97/33.05 (~v19(constB190)),
% 49.97/33.05 inference(unit_resolution,[status(thm)],[26787, 26776])).
% 49.97/33.05 tff(26789,plain,
% 49.97/33.05 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB190) | v19(constB190))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB190) | v19(constB190))),
% 49.97/33.05 inference(rewrite,[status(thm)],[])).
% 49.97/33.05 tff(26790,plain,
% 49.97/33.05 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB190) | v19(constB190))),
% 49.97/33.05 inference(quant_inst,[status(thm)],[])).
% 49.97/33.05 tff(26791,plain,
% 49.97/33.05 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB190) | v19(constB190)),
% 49.97/33.05 inference(modus_ponens,[status(thm)],[26790, 26789])).
% 49.97/33.05 tff(26792,plain,
% 49.97/33.05 (v13(constB190)),
% 49.97/33.05 inference(unit_resolution,[status(thm)],[26791, 15094, 26788])).
% 49.97/33.05 tff(26793,plain,
% 49.97/33.05 (nextState(constB189, constB190) <=> nextState(constB189, constB190)),
% 49.97/33.05 inference(rewrite,[status(thm)],[])).
% 49.97/33.05 tff(26794,axiom,(nextState(constB189, constB190)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_189_1')).
% 49.97/33.05 tff(26795,plain,
% 49.97/33.05 (nextState(constB189, constB190)),
% 49.97/33.05 inference(modus_ponens,[status(thm)],[26794, 26793])).
% 49.97/33.05 tff(26796,plain,
% 49.97/33.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB189, constB190)) | (~v13(constB190)) | v9(constB189))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB189, constB190)) | (~v13(constB190)) | v9(constB189))),
% 49.97/33.05 inference(rewrite,[status(thm)],[])).
% 49.97/33.05 tff(26797,plain,
% 49.97/33.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB189, constB190)) | (~v13(constB190)) | v9(constB189))),
% 49.97/33.05 inference(quant_inst,[status(thm)],[])).
% 49.97/33.05 tff(26798,plain,
% 49.97/33.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB189, constB190)) | (~v13(constB190)) | v9(constB189)),
% 49.97/33.05 inference(modus_ponens,[status(thm)],[26797, 26796])).
% 49.97/33.05 tff(26799,plain,
% 49.97/33.05 ((~v13(constB190)) | v9(constB189)),
% 49.97/33.05 inference(unit_resolution,[status(thm)],[26798, 15111, 26795])).
% 49.97/33.05 tff(26800,plain,
% 49.97/33.05 (v9(constB189)),
% 49.97/33.05 inference(unit_resolution,[status(thm)],[26799, 26792])).
% 49.97/33.05 tff(26801,plain,
% 49.97/33.05 (((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | (v80(constB189) | (~v9(constB189)))) <=> ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | v80(constB189) | (~v9(constB189)))),
% 49.97/33.05 inference(rewrite,[status(thm)],[])).
% 49.97/33.05 tff(26802,plain,
% 49.97/33.05 ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | (v80(constB189) | (~v9(constB189)))),
% 49.97/33.05 inference(quant_inst,[status(thm)],[])).
% 49.97/33.05 tff(26803,plain,
% 49.97/33.05 ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | v80(constB189) | (~v9(constB189))),
% 49.97/33.05 inference(modus_ponens,[status(thm)],[26802, 26801])).
% 49.97/33.05 tff(26804,plain,
% 49.97/33.05 (v80(constB189)),
% 49.97/33.05 inference(unit_resolution,[status(thm)],[26803, 15170, 26800])).
% 49.97/33.05 tff(26805,plain,
% 49.97/33.05 (((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB189) | v78(constB189))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | v1(constB189) | v78(constB189))),
% 49.97/33.05 inference(rewrite,[status(thm)],[])).
% 49.97/33.05 tff(26806,plain,
% 49.97/33.05 ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB189) | v78(constB189))),
% 49.97/33.05 inference(quant_inst,[status(thm)],[])).
% 49.97/33.05 tff(26807,plain,
% 49.97/33.05 ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | v1(constB189) | v78(constB189)),
% 49.97/33.05 inference(modus_ponens,[status(thm)],[26806, 26805])).
% 49.97/33.05 tff(26808,plain,
% 49.97/33.05 (v78(constB189)),
% 49.97/33.05 inference(unit_resolution,[status(thm)],[26807, 15184, 26654])).
% 49.97/33.05 tff(26809,plain,
% 49.97/33.05 (((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | ((~v78(constB189)) | (~v80(constB189)) | v76(constB189))) <=> ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | (~v78(constB189)) | (~v80(constB189)) | v76(constB189))),
% 49.97/33.05 inference(rewrite,[status(thm)],[])).
% 49.97/33.05 tff(26810,plain,
% 49.97/33.05 ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | ((~v78(constB189)) | (~v80(constB189)) | v76(constB189))),
% 49.97/33.05 inference(quant_inst,[status(thm)],[])).
% 49.97/33.05 tff(26811,plain,
% 49.97/33.05 ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | (~v78(constB189)) | (~v80(constB189)) | v76(constB189)),
% 49.97/33.05 inference(modus_ponens,[status(thm)],[26810, 26809])).
% 49.97/33.05 tff(26812,plain,
% 49.97/33.05 ((~v80(constB189)) | v76(constB189)),
% 49.97/33.05 inference(unit_resolution,[status(thm)],[26811, 15198, 26808])).
% 49.97/33.05 tff(26813,plain,
% 49.97/33.05 (v76(constB189)),
% 49.97/33.05 inference(unit_resolution,[status(thm)],[26812, 26804])).
% 49.97/33.05 tff(26814,plain,
% 49.97/33.05 (((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v76(constB189)) | v71(constB189) | (~v72(constB189)))) <=> ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | (~v76(constB189)) | v71(constB189) | (~v72(constB189)))),
% 49.97/33.05 inference(rewrite,[status(thm)],[])).
% 49.97/33.05 tff(26815,plain,
% 49.97/33.05 (((~v72(constB189)) | (~v76(constB189)) | v71(constB189)) <=> ((~v76(constB189)) | v71(constB189) | (~v72(constB189)))),
% 49.97/33.05 inference(rewrite,[status(thm)],[])).
% 49.97/33.05 tff(26816,plain,
% 49.97/33.05 (((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB189)) | (~v76(constB189)) | v71(constB189))) <=> ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v76(constB189)) | v71(constB189) | (~v72(constB189))))),
% 49.97/33.05 inference(monotonicity,[status(thm)],[26815])).
% 49.97/33.05 tff(26817,plain,
% 49.97/33.05 (((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB189)) | (~v76(constB189)) | v71(constB189))) <=> ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | (~v76(constB189)) | v71(constB189) | (~v72(constB189)))),
% 49.97/33.05 inference(transitivity,[status(thm)],[26816, 26814])).
% 49.97/33.05 tff(26818,plain,
% 49.97/33.05 ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB189)) | (~v76(constB189)) | v71(constB189))),
% 49.97/33.05 inference(quant_inst,[status(thm)],[])).
% 49.97/33.05 tff(26819,plain,
% 49.97/33.05 ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | (~v76(constB189)) | v71(constB189) | (~v72(constB189))),
% 49.97/33.05 inference(modus_ponens,[status(thm)],[26818, 26817])).
% 49.97/33.05 tff(26820,plain,
% 49.97/33.05 (v71(constB189) | (~v72(constB189))),
% 49.97/33.05 inference(unit_resolution,[status(thm)],[26819, 15213, 26813])).
% 49.97/33.05 tff(26821,plain,
% 49.97/33.05 (~v72(constB189)),
% 49.97/33.05 inference(unit_resolution,[status(thm)],[26820, 26772])).
% 49.97/33.05 tff(26822,plain,
% 49.97/33.05 (((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB189) | v72(constB189) | v74(constB189))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB189) | v72(constB189) | v74(constB189))),
% 49.97/33.05 inference(rewrite,[status(thm)],[])).
% 49.97/33.05 tff(26823,plain,
% 49.97/33.05 ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB189) | v72(constB189) | v74(constB189))),
% 49.97/33.05 inference(quant_inst,[status(thm)],[])).
% 49.97/33.05 tff(26824,plain,
% 49.97/33.05 ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB189) | v72(constB189) | v74(constB189)),
% 49.97/33.05 inference(modus_ponens,[status(thm)],[26823, 26822])).
% 49.97/33.05 tff(26825,plain,
% 49.97/33.05 (v72(constB189) | v74(constB189)),
% 49.97/33.05 inference(unit_resolution,[status(thm)],[26824, 15231, 26654])).
% 49.97/33.05 tff(26826,plain,
% 49.97/33.05 (v74(constB189)),
% 49.97/33.05 inference(unit_resolution,[status(thm)],[26825, 26821])).
% 49.97/33.05 tff(26827,plain,
% 49.97/33.05 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB189) | v64(constB189) | (~v9(constB189)))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB189) | v64(constB189) | (~v9(constB189)))),
% 49.97/33.05 inference(rewrite,[status(thm)],[])).
% 49.97/33.05 tff(26828,plain,
% 49.97/33.05 ((v1(constB189) | (~v9(constB189)) | v64(constB189)) <=> (v1(constB189) | v64(constB189) | (~v9(constB189)))),
% 49.97/33.05 inference(rewrite,[status(thm)],[])).
% 49.97/33.05 tff(26829,plain,
% 49.97/33.05 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB189) | (~v9(constB189)) | v64(constB189))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB189) | v64(constB189) | (~v9(constB189))))),
% 49.97/33.05 inference(monotonicity,[status(thm)],[26828])).
% 49.97/33.05 tff(26830,plain,
% 49.97/33.05 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB189) | (~v9(constB189)) | v64(constB189))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB189) | v64(constB189) | (~v9(constB189)))),
% 49.97/33.05 inference(transitivity,[status(thm)],[26829, 26827])).
% 49.97/33.05 tff(26831,plain,
% 49.97/33.05 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB189) | (~v9(constB189)) | v64(constB189))),
% 49.97/33.05 inference(quant_inst,[status(thm)],[])).
% 49.97/33.05 tff(26832,plain,
% 49.97/33.05 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB189) | v64(constB189) | (~v9(constB189))),
% 49.97/33.05 inference(modus_ponens,[status(thm)],[26831, 26830])).
% 49.97/33.05 tff(26833,plain,
% 49.97/33.05 (v64(constB189) | (~v9(constB189))),
% 49.97/33.05 inference(unit_resolution,[status(thm)],[26832, 15126, 26654])).
% 49.97/33.05 tff(26834,plain,
% 49.97/33.05 (v64(constB189)),
% 49.97/33.05 inference(unit_resolution,[status(thm)],[26833, 26800])).
% 49.97/33.05 tff(26835,assumption,(v26(constB188)), introduced(assumption)).
% 49.97/33.05 tff(26836,plain,
% 49.97/33.05 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB188))),
% 49.97/33.05 inference(quant_inst,[status(thm)],[])).
% 49.97/33.05 tff(26837,plain,
% 49.97/33.05 ($false),
% 49.97/33.05 inference(unit_resolution,[status(thm)],[26836, 16, 26835])).
% 49.97/33.05 tff(26838,plain,(~v26(constB188)), inference(lemma,lemma(discharge,[]))).
% 49.97/33.05 tff(26839,plain,
% 49.97/33.05 (((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB188, constB189)) | v26(constB188) | (~v66(constB189)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB188, constB189)) | v26(constB188) | (~v66(constB189)))),
% 49.97/33.05 inference(rewrite,[status(thm)],[])).
% 49.97/33.05 tff(26840,plain,
% 49.97/33.05 ((v26(constB188) | (~nextState(constB188, constB189)) | (~v66(constB189))) <=> ((~nextState(constB188, constB189)) | v26(constB188) | (~v66(constB189)))),
% 49.97/33.05 inference(rewrite,[status(thm)],[])).
% 49.97/33.05 tff(26841,plain,
% 49.97/33.05 (((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB188) | (~nextState(constB188, constB189)) | (~v66(constB189)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB188, constB189)) | v26(constB188) | (~v66(constB189))))),
% 49.97/33.05 inference(monotonicity,[status(thm)],[26840])).
% 49.97/33.05 tff(26842,plain,
% 49.97/33.05 (((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB188) | (~nextState(constB188, constB189)) | (~v66(constB189)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB188, constB189)) | v26(constB188) | (~v66(constB189)))),
% 49.97/33.05 inference(transitivity,[status(thm)],[26841, 26839])).
% 49.97/33.05 tff(26843,plain,
% 49.97/33.05 ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB188) | (~nextState(constB188, constB189)) | (~v66(constB189)))),
% 49.97/33.05 inference(quant_inst,[status(thm)],[])).
% 49.97/33.05 tff(26844,plain,
% 49.97/33.05 ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB188, constB189)) | v26(constB188) | (~v66(constB189))),
% 49.97/33.05 inference(modus_ponens,[status(thm)],[26843, 26842])).
% 49.97/33.05 tff(26845,plain,
% 49.97/33.05 (v26(constB188) | (~v66(constB189))),
% 49.97/33.05 inference(unit_resolution,[status(thm)],[26844, 15036, 26657])).
% 49.97/33.05 tff(26846,plain,
% 49.97/33.05 (~v66(constB189)),
% 49.97/33.05 inference(unit_resolution,[status(thm)],[26845, 26838])).
% 49.97/33.05 tff(26847,plain,
% 49.97/33.05 (((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v60(constB189)) | v66(constB189) | (~v64(constB189)))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | (~v60(constB189)) | v66(constB189) | (~v64(constB189)))),
% 49.97/33.05 inference(rewrite,[status(thm)],[])).
% 49.97/33.05 tff(26848,plain,
% 49.97/33.05 (((~v64(constB189)) | (~v60(constB189)) | v66(constB189)) <=> ((~v60(constB189)) | v66(constB189) | (~v64(constB189)))),
% 49.97/33.05 inference(rewrite,[status(thm)],[])).
% 49.97/33.05 tff(26849,plain,
% 49.97/33.05 (((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v64(constB189)) | (~v60(constB189)) | v66(constB189))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v60(constB189)) | v66(constB189) | (~v64(constB189))))),
% 49.97/33.05 inference(monotonicity,[status(thm)],[26848])).
% 49.97/33.05 tff(26850,plain,
% 49.97/33.05 (((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v64(constB189)) | (~v60(constB189)) | v66(constB189))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | (~v60(constB189)) | v66(constB189) | (~v64(constB189)))),
% 49.97/33.05 inference(transitivity,[status(thm)],[26849, 26847])).
% 49.97/33.05 tff(26851,plain,
% 49.97/33.05 ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v64(constB189)) | (~v60(constB189)) | v66(constB189))),
% 49.97/33.05 inference(quant_inst,[status(thm)],[])).
% 49.97/33.05 tff(26852,plain,
% 49.97/33.05 ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | (~v60(constB189)) | v66(constB189) | (~v64(constB189))),
% 49.97/33.05 inference(modus_ponens,[status(thm)],[26851, 26850])).
% 49.97/33.05 tff(26853,plain,
% 49.97/33.05 ((~v60(constB189)) | (~v64(constB189))),
% 49.97/33.05 inference(unit_resolution,[status(thm)],[26852, 15144, 26846])).
% 49.97/33.05 tff(26854,plain,
% 49.97/33.05 (~v60(constB189)),
% 49.97/33.05 inference(unit_resolution,[status(thm)],[26853, 26834])).
% 49.97/33.05 tff(26855,plain,
% 49.97/33.05 (((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB189) | (~v26(constB189)) | (~v74(constB189)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB189) | (~v26(constB189)) | (~v74(constB189)))),
% 49.97/33.05 inference(rewrite,[status(thm)],[])).
% 49.97/33.05 tff(26856,plain,
% 49.97/33.05 (((~v26(constB189)) | v60(constB189) | (~v74(constB189))) <=> (v60(constB189) | (~v26(constB189)) | (~v74(constB189)))),
% 49.97/33.05 inference(rewrite,[status(thm)],[])).
% 49.97/33.05 tff(26857,plain,
% 49.97/33.05 (((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB189)) | v60(constB189) | (~v74(constB189)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB189) | (~v26(constB189)) | (~v74(constB189))))),
% 49.97/33.05 inference(monotonicity,[status(thm)],[26856])).
% 49.97/33.05 tff(26858,plain,
% 49.97/33.05 (((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB189)) | v60(constB189) | (~v74(constB189)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB189) | (~v26(constB189)) | (~v74(constB189)))),
% 49.97/33.05 inference(transitivity,[status(thm)],[26857, 26855])).
% 49.97/33.05 tff(26859,plain,
% 49.97/33.05 ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB189)) | v60(constB189) | (~v74(constB189)))),
% 49.97/33.05 inference(quant_inst,[status(thm)],[])).
% 49.97/33.05 tff(26860,plain,
% 49.97/33.05 ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB189) | (~v26(constB189)) | (~v74(constB189))),
% 49.97/33.05 inference(modus_ponens,[status(thm)],[26859, 26858])).
% 49.97/33.05 tff(26861,plain,
% 49.97/33.05 ((~v26(constB189)) | (~v74(constB189))),
% 49.97/33.05 inference(unit_resolution,[status(thm)],[26860, 15246, 26854])).
% 49.97/33.05 tff(26862,plain,
% 49.97/33.05 (~v26(constB189)),
% 49.97/33.05 inference(unit_resolution,[status(thm)],[26861, 26826])).
% 49.97/33.05 tff(26863,plain,
% 49.97/33.05 (((~![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))),
% 49.97/33.05 inference(rewrite,[status(thm)],[])).
% 49.97/33.05 tff(26864,plain,
% 49.97/33.05 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB189) | (~v113(constB189)) | v112(constB189))),
% 49.97/33.05 inference(quant_inst,[status(thm)],[])).
% 49.97/33.05 tff(26865,plain,
% 49.97/33.05 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB189) | (~v113(constB189)) | v112(constB189)),
% 49.97/33.05 inference(modus_ponens,[status(thm)],[26864, 26863])).
% 49.97/33.05 tff(26866,plain,
% 49.97/33.05 ((~v113(constB189)) | v112(constB189)),
% 49.97/33.05 inference(unit_resolution,[status(thm)],[26865, 224, 26862])).
% 49.97/33.05 tff(26867,plain,
% 49.97/33.05 (v112(constB189)),
% 49.97/33.05 inference(unit_resolution,[status(thm)],[26866, 26768])).
% 49.97/33.05 tff(26868,plain,
% 49.97/33.05 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB189) | (~v112(constB189)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB189) | (~v112(constB189)))),
% 49.97/33.05 inference(rewrite,[status(thm)],[])).
% 49.97/33.05 tff(26869,plain,
% 49.97/33.05 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB189) | (~v112(constB189)))),
% 49.97/33.05 inference(quant_inst,[status(thm)],[])).
% 49.97/33.05 tff(26870,plain,
% 49.97/33.05 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB189) | (~v112(constB189))),
% 49.97/33.05 inference(modus_ponens,[status(thm)],[26869, 26868])).
% 49.97/33.05 tff(26871,plain,
% 49.97/33.05 (v108(constB189)),
% 49.97/33.05 inference(unit_resolution,[status(thm)],[26870, 236, 26867])).
% 49.97/33.05 tff(26872,plain,
% 49.97/33.05 (((~![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)))),
% 49.97/33.05 inference(rewrite,[status(thm)],[])).
% 49.97/33.05 tff(26873,plain,
% 49.97/33.05 (((~nextState(constB189, constB190)) | (~v108(constB189)) | v110(constB190)) <=> ((~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189)))),
% 49.97/33.05 inference(rewrite,[status(thm)],[])).
% 49.97/33.05 tff(26874,plain,
% 49.97/33.05 (((~![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))))),
% 49.97/33.05 inference(monotonicity,[status(thm)],[26873])).
% 49.97/33.05 tff(26875,plain,
% 49.97/33.05 (((~![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)))),
% 49.97/33.05 inference(transitivity,[status(thm)],[26874, 26872])).
% 49.97/33.05 tff(26876,plain,
% 49.97/33.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB189, constB190)) | (~v108(constB189)) | v110(constB190))),
% 49.97/33.05 inference(quant_inst,[status(thm)],[])).
% 49.97/33.05 tff(26877,plain,
% 49.97/33.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB189, constB190)) | v110(constB190) | (~v108(constB189))),
% 49.97/33.05 inference(modus_ponens,[status(thm)],[26876, 26875])).
% 49.97/33.05 tff(26878,plain,
% 49.97/33.05 (v110(constB190) | (~v108(constB189))),
% 49.97/33.05 inference(unit_resolution,[status(thm)],[26877, 253, 26795])).
% 49.97/33.05 tff(26879,plain,
% 49.97/33.05 (v110(constB190)),
% 49.97/33.05 inference(unit_resolution,[status(thm)],[26878, 26871])).
% 49.97/33.05 tff(26880,plain,
% 49.97/33.05 (((~![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)))),
% 49.97/33.05 inference(rewrite,[status(thm)],[])).
% 49.97/33.05 tff(26881,plain,
% 49.97/33.05 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB189) | (~nextState(constB189, constB190)) | (~v104(constB190)))),
% 49.97/33.05 inference(quant_inst,[status(thm)],[])).
% 49.97/33.05 tff(26882,plain,
% 49.97/33.05 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB189) | (~nextState(constB189, constB190)) | (~v104(constB190))),
% 49.97/33.05 inference(modus_ponens,[status(thm)],[26881, 26880])).
% 49.97/33.05 tff(26883,plain,
% 49.97/33.05 (~v104(constB190)),
% 49.97/33.05 inference(unit_resolution,[status(thm)],[26882, 271, 26795, 26654])).
% 49.97/33.05 tff(26884,plain,
% 49.97/33.05 (((~![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))),
% 49.97/33.05 inference(rewrite,[status(thm)],[])).
% 49.97/33.05 tff(26885,plain,
% 49.97/33.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB189, constB190)) | v102(constB190) | v104(constB190))),
% 49.97/33.05 inference(quant_inst,[status(thm)],[])).
% 49.97/33.05 tff(26886,plain,
% 49.97/33.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB189, constB190)) | v102(constB190) | v104(constB190)),
% 49.97/33.05 inference(modus_ponens,[status(thm)],[26885, 26884])).
% 49.97/33.05 tff(26887,plain,
% 49.97/33.05 (v102(constB190) | v104(constB190)),
% 49.97/33.05 inference(unit_resolution,[status(thm)],[26886, 285, 26795])).
% 49.97/33.05 tff(26888,plain,
% 49.97/33.05 (v102(constB190)),
% 49.97/33.05 inference(unit_resolution,[status(thm)],[26887, 26883])).
% 49.97/33.05 tff(26889,plain,
% 49.97/33.05 (((~![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)))),
% 49.97/33.05 inference(rewrite,[status(thm)],[])).
% 49.97/33.05 tff(26890,plain,
% 49.97/33.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB189, constB190)) | v101(constB190) | (~v102(constB190)) | (~v1(constB190)))),
% 49.97/33.05 inference(quant_inst,[status(thm)],[])).
% 49.97/33.05 tff(26891,plain,
% 49.97/33.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB189, constB190)) | v101(constB190) | (~v102(constB190)) | (~v1(constB190))),
% 49.97/33.05 inference(modus_ponens,[status(thm)],[26890, 26889])).
% 49.97/33.05 tff(26892,plain,
% 49.97/33.05 (v101(constB190) | (~v102(constB190))),
% 49.97/33.05 inference(unit_resolution,[status(thm)],[26891, 303, 26795, 26779])).
% 49.97/33.05 tff(26893,plain,
% 49.97/33.05 (v101(constB190)),
% 49.97/33.05 inference(unit_resolution,[status(thm)],[26892, 26888])).
% 49.97/33.05 tff(26894,plain,
% 49.97/33.05 (((~![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)))),
% 49.97/33.05 inference(rewrite,[status(thm)],[])).
% 49.97/33.05 tff(26895,plain,
% 49.97/33.05 (((~nextState(constB189, constB190)) | (~v101(constB190)) | (~v110(constB190)) | v100(constB190)) <=> ((~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190)))),
% 49.97/33.05 inference(rewrite,[status(thm)],[])).
% 49.97/33.05 tff(26896,plain,
% 49.97/33.05 (((~![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))))),
% 49.97/33.05 inference(monotonicity,[status(thm)],[26895])).
% 49.97/33.05 tff(26897,plain,
% 49.97/33.05 (((~![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)))),
% 49.97/33.05 inference(transitivity,[status(thm)],[26896, 26894])).
% 49.97/33.05 tff(26898,plain,
% 49.97/33.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB189, constB190)) | (~v101(constB190)) | (~v110(constB190)) | v100(constB190))),
% 49.97/33.05 inference(quant_inst,[status(thm)],[])).
% 49.97/33.05 tff(26899,plain,
% 49.97/33.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB189, constB190)) | v100(constB190) | (~v101(constB190)) | (~v110(constB190))),
% 49.97/33.05 inference(modus_ponens,[status(thm)],[26898, 26897])).
% 49.97/33.05 tff(26900,plain,
% 49.97/33.05 (v100(constB190) | (~v101(constB190)) | (~v110(constB190))),
% 49.97/33.05 inference(unit_resolution,[status(thm)],[26899, 318, 26795])).
% 49.97/33.05 tff(26901,plain,
% 49.97/33.05 (v100(constB190) | (~v110(constB190))),
% 49.97/33.05 inference(unit_resolution,[status(thm)],[26900, 26893])).
% 49.97/33.05 tff(26902,plain,
% 49.97/33.05 (v100(constB190)),
% 49.97/33.05 inference(unit_resolution,[status(thm)],[26901, 26879])).
% 49.97/33.05 tff(26903,plain,
% 49.97/33.05 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB189)) | (~v130(constB189, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB189)) | (~v130(constB189, bitIndex2)))),
% 49.97/33.05 inference(rewrite,[status(thm)],[])).
% 49.97/33.05 tff(26904,plain,
% 49.97/33.05 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB189)) | (~v130(constB189, bitIndex2)))),
% 49.97/33.05 inference(quant_inst,[status(thm)],[])).
% 49.97/33.05 tff(26905,plain,
% 49.97/33.05 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB189)) | (~v130(constB189, bitIndex2))),
% 49.97/33.05 inference(modus_ponens,[status(thm)],[26904, 26903])).
% 49.97/33.05 tff(26906,plain,
% 49.97/33.05 (~v130(constB189, bitIndex2)),
% 49.97/33.05 inference(unit_resolution,[status(thm)],[26905, 1645, 26748])).
% 49.97/33.05 tff(26907,assumption,(v127(constB189, bitIndex2)), introduced(assumption)).
% 49.97/33.05 tff(26908,assumption,(~v130(constB189, bitIndex2)), introduced(assumption)).
% 49.97/33.05 tff(26909,plain,
% 49.97/33.05 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB189, bitIndex2)) | v26(constB189) | v130(constB189, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB189, bitIndex2)) | v26(constB189) | v130(constB189, bitIndex2))),
% 49.97/33.05 inference(rewrite,[status(thm)],[])).
% 49.97/33.05 tff(26910,plain,
% 49.97/33.05 ((v26(constB189) | v130(constB189, bitIndex2) | (~v127(constB189, bitIndex2))) <=> ((~v127(constB189, bitIndex2)) | v26(constB189) | v130(constB189, bitIndex2))),
% 49.97/33.05 inference(rewrite,[status(thm)],[])).
% 49.97/33.05 tff(26911,plain,
% 49.97/33.05 (((~![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)))) | ((~v127(constB189, bitIndex2)) | v26(constB189) | v130(constB189, bitIndex2)))),
% 49.97/33.05 inference(monotonicity,[status(thm)],[26910])).
% 49.97/33.05 tff(26912,plain,
% 49.97/33.05 (((~![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)))) | (~v127(constB189, bitIndex2)) | v26(constB189) | v130(constB189, bitIndex2))),
% 49.97/33.05 inference(transitivity,[status(thm)],[26911, 26909])).
% 49.97/33.05 tff(26913,plain,
% 49.97/33.05 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB189) | v130(constB189, bitIndex2) | (~v127(constB189, bitIndex2)))),
% 49.97/33.05 inference(quant_inst,[status(thm)],[])).
% 49.97/33.05 tff(26914,plain,
% 49.97/33.05 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB189, bitIndex2)) | v26(constB189) | v130(constB189, bitIndex2)),
% 49.97/33.05 inference(modus_ponens,[status(thm)],[26913, 26912])).
% 49.97/33.05 tff(26915,plain,
% 49.97/33.05 ((~v127(constB189, bitIndex2)) | v26(constB189)),
% 49.97/33.05 inference(unit_resolution,[status(thm)],[26914, 1210, 26908])).
% 49.97/33.05 tff(26916,plain,
% 49.97/33.05 (v26(constB189)),
% 49.97/33.05 inference(unit_resolution,[status(thm)],[26915, 26907])).
% 49.97/33.05 tff(26917,plain,
% 49.97/33.05 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB189)) | (~v127(constB189, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB189)) | (~v127(constB189, bitIndex2)))),
% 49.97/33.05 inference(rewrite,[status(thm)],[])).
% 49.97/33.05 tff(26918,plain,
% 49.97/33.05 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB189)) | (~v127(constB189, bitIndex2)))),
% 49.97/33.05 inference(quant_inst,[status(thm)],[])).
% 49.97/33.05 tff(26919,plain,
% 49.97/33.05 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB189)) | (~v127(constB189, bitIndex2))),
% 49.97/33.05 inference(modus_ponens,[status(thm)],[26918, 26917])).
% 49.97/33.05 tff(26920,plain,
% 49.97/33.05 ($false),
% 49.97/33.05 inference(unit_resolution,[status(thm)],[26919, 1228, 26907, 26916])).
% 49.97/33.05 tff(26921,plain,((~v127(constB189, bitIndex2)) | v130(constB189, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 49.97/33.05 tff(26922,plain,
% 49.97/33.05 (~v127(constB189, bitIndex2)),
% 49.97/33.05 inference(unit_resolution,[status(thm)],[26921, 26906])).
% 49.97/33.05 tff(26923,plain,
% 49.97/33.05 (((~![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)))),
% 49.97/33.06 inference(rewrite,[status(thm)],[])).
% 49.97/33.06 tff(26924,plain,
% 49.97/33.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB189, constB190)) | v127(constB189, bitIndex2) | (~v129(constB190, bitIndex2)))),
% 49.97/33.06 inference(quant_inst,[status(thm)],[])).
% 49.97/33.06 tff(26925,plain,
% 49.97/33.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB189, constB190)) | v127(constB189, bitIndex2) | (~v129(constB190, bitIndex2))),
% 49.97/33.06 inference(modus_ponens,[status(thm)],[26924, 26923])).
% 49.97/33.06 tff(26926,plain,
% 49.97/33.06 (v127(constB189, bitIndex2) | (~v129(constB190, bitIndex2))),
% 49.97/33.06 inference(unit_resolution,[status(thm)],[26925, 1243, 26795])).
% 49.97/33.06 tff(26927,plain,
% 49.97/33.06 (~v129(constB190, bitIndex2)),
% 49.97/33.06 inference(unit_resolution,[status(thm)],[26926, 26922])).
% 49.97/33.06 tff(26928,plain,
% 49.97/33.06 (((~![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)))),
% 49.97/33.06 inference(rewrite,[status(thm)],[])).
% 49.97/33.06 tff(26929,plain,
% 49.97/33.06 (((~v90(constB190, bitIndex2)) | (~v100(constB190)) | v129(constB190, bitIndex2)) <=> ((~v90(constB190, bitIndex2)) | v129(constB190, bitIndex2) | (~v100(constB190)))),
% 49.97/33.06 inference(rewrite,[status(thm)],[])).
% 49.97/33.06 tff(26930,plain,
% 49.97/33.06 (((~![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))))),
% 49.97/33.06 inference(monotonicity,[status(thm)],[26929])).
% 49.97/33.06 tff(26931,plain,
% 49.97/33.06 (((~![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)))),
% 49.97/33.06 inference(transitivity,[status(thm)],[26930, 26928])).
% 49.97/33.06 tff(26932,plain,
% 49.97/33.06 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB190, bitIndex2)) | (~v100(constB190)) | v129(constB190, bitIndex2))),
% 49.97/33.06 inference(quant_inst,[status(thm)],[])).
% 49.97/33.06 tff(26933,plain,
% 49.97/33.06 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB190, bitIndex2)) | v129(constB190, bitIndex2) | (~v100(constB190))),
% 49.97/33.06 inference(modus_ponens,[status(thm)],[26932, 26931])).
% 49.97/33.06 tff(26934,plain,
% 49.97/33.06 ((~v90(constB190, bitIndex2)) | (~v100(constB190))),
% 49.97/33.06 inference(unit_resolution,[status(thm)],[26933, 1258, 26927])).
% 49.97/33.06 tff(26935,plain,
% 49.97/33.06 (~v90(constB190, bitIndex2)),
% 49.97/33.06 inference(unit_resolution,[status(thm)],[26934, 26902])).
% 49.97/33.06 tff(26936,plain,
% 49.97/33.06 ((~v1(constB191)) <=> (~v1(constB191))),
% 49.97/33.06 inference(rewrite,[status(thm)],[])).
% 49.97/33.06 tff(26937,axiom,(~v1(constB191)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_191_1_1')).
% 49.97/33.06 tff(26938,plain,
% 49.97/33.06 (~v1(constB191)),
% 49.97/33.06 inference(modus_ponens,[status(thm)],[26937, 26936])).
% 49.97/33.06 tff(26939,plain,
% 49.97/33.06 (nextState(constB190, constB191) <=> nextState(constB190, constB191)),
% 49.97/33.06 inference(rewrite,[status(thm)],[])).
% 49.97/33.06 tff(26940,axiom,(nextState(constB190, constB191)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_190_1')).
% 49.97/33.06 tff(26941,plain,
% 49.97/33.06 (nextState(constB190, constB191)),
% 49.97/33.06 inference(modus_ponens,[status(thm)],[26940, 26939])).
% 49.97/33.06 tff(26942,plain,
% 49.97/33.06 (((~![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)))),
% 49.97/33.06 inference(rewrite,[status(thm)],[])).
% 49.97/33.06 tff(26943,plain,
% 49.97/33.06 (((~nextState(constB190, constB191)) | (~v101(constB191)) | v1(constB191)) <=> (v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191)))),
% 49.97/33.06 inference(rewrite,[status(thm)],[])).
% 49.97/33.06 tff(26944,plain,
% 49.97/33.06 (((~![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))))),
% 49.97/33.06 inference(monotonicity,[status(thm)],[26943])).
% 49.97/33.06 tff(26945,plain,
% 49.97/33.06 (((~![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)))),
% 49.97/33.06 inference(transitivity,[status(thm)],[26944, 26942])).
% 49.97/33.06 tff(26946,plain,
% 49.97/33.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB190, constB191)) | (~v101(constB191)) | v1(constB191))),
% 49.97/33.06 inference(quant_inst,[status(thm)],[])).
% 49.97/33.06 tff(26947,plain,
% 49.97/33.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB191) | (~nextState(constB190, constB191)) | (~v101(constB191))),
% 49.97/33.06 inference(modus_ponens,[status(thm)],[26946, 26945])).
% 49.97/33.06 tff(26948,plain,
% 49.97/33.06 (~v101(constB191)),
% 49.97/33.06 inference(unit_resolution,[status(thm)],[26947, 49, 26941, 26938])).
% 49.97/33.06 tff(26949,plain,
% 49.97/33.06 (((~![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)))),
% 49.97/33.06 inference(rewrite,[status(thm)],[])).
% 49.97/33.06 tff(26950,plain,
% 49.97/33.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB190, constB191)) | v101(constB191) | (~v100(constB191)))),
% 49.97/33.06 inference(quant_inst,[status(thm)],[])).
% 49.97/33.06 tff(26951,plain,
% 49.97/33.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB190, constB191)) | v101(constB191) | (~v100(constB191))),
% 49.97/33.06 inference(modus_ponens,[status(thm)],[26950, 26949])).
% 49.97/33.06 tff(26952,plain,
% 49.97/33.06 (v101(constB191) | (~v100(constB191))),
% 49.97/33.06 inference(unit_resolution,[status(thm)],[26951, 66, 26941])).
% 49.97/33.06 tff(26953,plain,
% 49.97/33.06 (~v100(constB191)),
% 49.97/33.06 inference(unit_resolution,[status(thm)],[26952, 26948])).
% 49.97/33.06 tff(26954,plain,
% 49.97/33.06 (((~![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)))),
% 49.97/33.06 inference(rewrite,[status(thm)],[])).
% 49.97/33.06 tff(26955,plain,
% 49.97/33.06 (((~nextState(constB190, constB191)) | v90(constB190, bitIndex2) | v100(constB191) | (~v90(constB191, bitIndex2))) <=> (v90(constB190, bitIndex2) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, bitIndex2)))),
% 49.97/33.06 inference(rewrite,[status(thm)],[])).
% 49.97/33.06 tff(26956,plain,
% 49.97/33.06 (((~![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))))),
% 49.97/33.06 inference(monotonicity,[status(thm)],[26955])).
% 49.97/33.06 tff(26957,plain,
% 49.97/33.06 (((~![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)))),
% 49.97/33.06 inference(transitivity,[status(thm)],[26956, 26954])).
% 49.97/33.06 tff(26958,plain,
% 49.97/33.06 ((~![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)))),
% 49.97/33.06 inference(quant_inst,[status(thm)],[])).
% 49.97/33.06 tff(26959,plain,
% 49.97/33.06 ((~![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))),
% 49.97/33.06 inference(modus_ponens,[status(thm)],[26958, 26957])).
% 49.97/33.06 tff(26960,plain,
% 49.97/33.06 (v90(constB190, bitIndex2) | v100(constB191) | (~v90(constB191, bitIndex2))),
% 49.97/33.06 inference(unit_resolution,[status(thm)],[26959, 81, 26941])).
% 49.97/33.06 tff(26961,plain,
% 49.97/33.06 (v90(constB190, bitIndex2) | (~v90(constB191, bitIndex2))),
% 49.97/33.06 inference(unit_resolution,[status(thm)],[26960, 26953])).
% 49.97/33.06 tff(26962,plain,
% 49.97/33.06 (~v90(constB191, bitIndex2)),
% 49.97/33.06 inference(unit_resolution,[status(thm)],[26961, 26935])).
% 49.97/33.06 tff(26963,plain,
% 49.97/33.06 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB189)) | v130(constB189, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB189)) | v130(constB189, bitIndex0))),
% 49.97/33.06 inference(rewrite,[status(thm)],[])).
% 49.97/33.06 tff(26964,plain,
% 49.97/33.06 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB189)) | v130(constB189, bitIndex0))),
% 49.97/33.06 inference(quant_inst,[status(thm)],[])).
% 49.97/33.06 tff(26965,plain,
% 49.97/33.06 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB189)) | v130(constB189, bitIndex0)),
% 49.97/33.06 inference(modus_ponens,[status(thm)],[26964, 26963])).
% 49.97/33.06 tff(26966,plain,
% 49.97/33.06 (v130(constB189, bitIndex0)),
% 49.97/33.06 inference(unit_resolution,[status(thm)],[26965, 1748, 26748])).
% 49.97/33.06 tff(26967,plain,
% 49.97/33.06 (((~![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))),
% 49.97/33.06 inference(rewrite,[status(thm)],[])).
% 49.97/33.06 tff(26968,plain,
% 49.97/33.06 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB189) | (~v130(constB189, bitIndex0)) | v127(constB189, bitIndex0))),
% 49.97/33.06 inference(quant_inst,[status(thm)],[])).
% 49.97/33.06 tff(26969,plain,
% 49.97/33.06 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB189) | (~v130(constB189, bitIndex0)) | v127(constB189, bitIndex0)),
% 49.97/33.06 inference(modus_ponens,[status(thm)],[26968, 26967])).
% 49.97/33.06 tff(26970,plain,
% 49.97/33.06 ((~v130(constB189, bitIndex0)) | v127(constB189, bitIndex0)),
% 49.97/33.06 inference(unit_resolution,[status(thm)],[26969, 926, 26862])).
% 49.97/33.06 tff(26971,plain,
% 49.97/33.06 (v127(constB189, bitIndex0)),
% 49.97/33.06 inference(unit_resolution,[status(thm)],[26970, 26966])).
% 49.97/33.06 tff(26972,plain,
% 49.97/33.06 (((~![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))),
% 49.97/33.06 inference(rewrite,[status(thm)],[])).
% 49.97/33.06 tff(26973,plain,
% 49.97/33.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB189, constB190)) | (~v127(constB189, bitIndex0)) | v129(constB190, bitIndex0))),
% 49.97/33.06 inference(quant_inst,[status(thm)],[])).
% 49.97/33.06 tff(26974,plain,
% 49.97/33.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB189, constB190)) | (~v127(constB189, bitIndex0)) | v129(constB190, bitIndex0)),
% 49.97/33.06 inference(modus_ponens,[status(thm)],[26973, 26972])).
% 49.97/33.06 tff(26975,plain,
% 49.97/33.06 ((~v127(constB189, bitIndex0)) | v129(constB190, bitIndex0)),
% 49.97/33.06 inference(unit_resolution,[status(thm)],[26974, 944, 26795])).
% 49.97/33.06 tff(26976,plain,
% 49.97/33.06 (v129(constB190, bitIndex0)),
% 49.97/33.06 inference(unit_resolution,[status(thm)],[26975, 26971])).
% 49.97/33.06 tff(26977,plain,
% 49.97/33.06 (((~![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)))),
% 49.97/33.06 inference(rewrite,[status(thm)],[])).
% 49.97/33.06 tff(26978,plain,
% 49.97/33.06 ((v90(constB190, bitIndex0) | (~v100(constB190)) | (~v129(constB190, bitIndex0))) <=> (v90(constB190, bitIndex0) | (~v129(constB190, bitIndex0)) | (~v100(constB190)))),
% 49.97/33.06 inference(rewrite,[status(thm)],[])).
% 49.97/33.06 tff(26979,plain,
% 49.97/33.06 (((~![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))))),
% 49.97/33.06 inference(monotonicity,[status(thm)],[26978])).
% 49.97/33.06 tff(26980,plain,
% 49.97/33.06 (((~![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)))),
% 49.97/33.06 inference(transitivity,[status(thm)],[26979, 26977])).
% 49.97/33.06 tff(26981,plain,
% 49.97/33.06 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB190, bitIndex0) | (~v100(constB190)) | (~v129(constB190, bitIndex0)))),
% 49.97/33.06 inference(quant_inst,[status(thm)],[])).
% 49.97/33.06 tff(26982,plain,
% 49.97/33.06 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB190, bitIndex0) | (~v129(constB190, bitIndex0)) | (~v100(constB190))),
% 49.97/33.06 inference(modus_ponens,[status(thm)],[26981, 26980])).
% 49.97/33.06 tff(26983,plain,
% 49.97/33.06 (v90(constB190, bitIndex0) | (~v100(constB190))),
% 49.97/33.06 inference(unit_resolution,[status(thm)],[26982, 1088, 26976])).
% 49.97/33.06 tff(26984,plain,
% 49.97/33.06 (v90(constB190, bitIndex0)),
% 49.97/33.06 inference(unit_resolution,[status(thm)],[26983, 26902])).
% 49.97/33.06 tff(26985,plain,
% 49.97/33.06 (((~![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))),
% 49.97/33.06 inference(rewrite,[status(thm)],[])).
% 49.97/33.06 tff(26986,plain,
% 49.97/33.06 (((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex0)) | v100(constB191) | v90(constB191, bitIndex0)) <=> ((~v90(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex0))),
% 49.97/33.06 inference(rewrite,[status(thm)],[])).
% 49.97/33.06 tff(26987,plain,
% 49.97/33.06 (((~![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)))),
% 49.97/33.06 inference(monotonicity,[status(thm)],[26986])).
% 49.97/33.06 tff(26988,plain,
% 49.97/33.06 (((~![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))),
% 49.97/33.06 inference(transitivity,[status(thm)],[26987, 26985])).
% 49.97/33.06 tff(26989,plain,
% 49.97/33.06 ((~![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))),
% 49.97/33.06 inference(quant_inst,[status(thm)],[])).
% 49.97/33.06 tff(26990,plain,
% 49.97/33.06 ((~![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)),
% 49.97/33.06 inference(modus_ponens,[status(thm)],[26989, 26988])).
% 49.97/33.06 tff(26991,plain,
% 49.97/33.06 ((~v90(constB190, bitIndex0)) | v100(constB191) | v90(constB191, bitIndex0)),
% 49.97/33.06 inference(unit_resolution,[status(thm)],[26990, 1124, 26941])).
% 49.97/33.06 tff(26992,plain,
% 49.97/33.06 ((~v90(constB190, bitIndex0)) | v90(constB191, bitIndex0)),
% 49.97/33.06 inference(unit_resolution,[status(thm)],[26991, 26953])).
% 49.97/33.06 tff(26993,plain,
% 49.97/33.06 (v90(constB191, bitIndex0)),
% 49.97/33.06 inference(unit_resolution,[status(thm)],[26992, 26984])).
% 49.97/33.06 tff(26994,plain,
% 49.97/33.06 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB189)) | v130(constB189, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB189)) | v130(constB189, bitIndex1))),
% 49.97/33.06 inference(rewrite,[status(thm)],[])).
% 49.97/33.06 tff(26995,plain,
% 49.97/33.06 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v121(constB189)) | v130(constB189, bitIndex1))),
% 49.97/33.06 inference(quant_inst,[status(thm)],[])).
% 49.97/33.06 tff(26996,plain,
% 49.97/33.06 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v121(constB189)) | v130(constB189, bitIndex1)),
% 49.97/33.06 inference(modus_ponens,[status(thm)],[26995, 26994])).
% 49.97/33.06 tff(26997,plain,
% 49.97/33.06 (v130(constB189, bitIndex1)),
% 49.97/33.06 inference(unit_resolution,[status(thm)],[26996, 1707, 26748])).
% 49.97/33.06 tff(26998,plain,
% 49.97/33.06 (((~![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))) | v26(constB189) | (~v130(constB189, bitIndex1)) | v127(constB189, bitIndex1))),
% 49.97/33.06 inference(rewrite,[status(thm)],[])).
% 49.97/33.06 tff(26999,plain,
% 49.97/33.06 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB189) | (~v130(constB189, bitIndex1)) | v127(constB189, bitIndex1))),
% 49.97/33.06 inference(quant_inst,[status(thm)],[])).
% 49.97/33.06 tff(27000,plain,
% 49.97/33.06 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB189) | (~v130(constB189, bitIndex1)) | v127(constB189, bitIndex1)),
% 49.97/33.06 inference(modus_ponens,[status(thm)],[26999, 26998])).
% 49.97/33.06 tff(27001,plain,
% 49.97/33.06 ((~v130(constB189, bitIndex1)) | v127(constB189, bitIndex1)),
% 49.97/33.06 inference(unit_resolution,[status(thm)],[27000, 681, 26862])).
% 49.97/33.06 tff(27002,plain,
% 49.97/33.06 (v127(constB189, bitIndex1)),
% 49.97/33.06 inference(unit_resolution,[status(thm)],[27001, 26997])).
% 49.97/33.06 tff(27003,plain,
% 49.97/33.06 (((~![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))),
% 49.97/33.06 inference(rewrite,[status(thm)],[])).
% 49.97/33.06 tff(27004,plain,
% 49.97/33.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB189, constB190)) | (~v127(constB189, bitIndex1)) | v129(constB190, bitIndex1))),
% 49.97/33.06 inference(quant_inst,[status(thm)],[])).
% 49.97/33.06 tff(27005,plain,
% 49.97/33.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB189, constB190)) | (~v127(constB189, bitIndex1)) | v129(constB190, bitIndex1)),
% 49.97/33.06 inference(modus_ponens,[status(thm)],[27004, 27003])).
% 49.97/33.06 tff(27006,plain,
% 49.97/33.06 ((~v127(constB189, bitIndex1)) | v129(constB190, bitIndex1)),
% 49.97/33.06 inference(unit_resolution,[status(thm)],[27005, 696, 26795])).
% 49.97/33.06 tff(27007,plain,
% 49.97/33.06 (v129(constB190, bitIndex1)),
% 49.97/33.06 inference(unit_resolution,[status(thm)],[27006, 27002])).
% 49.97/33.06 tff(27008,plain,
% 49.97/33.06 (((~![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)))),
% 49.97/33.06 inference(rewrite,[status(thm)],[])).
% 49.97/33.06 tff(27009,plain,
% 49.97/33.06 ((v90(constB190, bitIndex1) | (~v100(constB190)) | (~v129(constB190, bitIndex1))) <=> (v90(constB190, bitIndex1) | (~v129(constB190, bitIndex1)) | (~v100(constB190)))),
% 49.97/33.06 inference(rewrite,[status(thm)],[])).
% 49.97/33.06 tff(27010,plain,
% 49.97/33.06 (((~![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))))),
% 49.97/33.06 inference(monotonicity,[status(thm)],[27009])).
% 49.97/33.06 tff(27011,plain,
% 49.97/33.06 (((~![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)))),
% 49.97/33.06 inference(transitivity,[status(thm)],[27010, 27008])).
% 49.97/33.06 tff(27012,plain,
% 49.97/33.06 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB190, bitIndex1) | (~v100(constB190)) | (~v129(constB190, bitIndex1)))),
% 49.97/33.06 inference(quant_inst,[status(thm)],[])).
% 49.97/33.06 tff(27013,plain,
% 49.97/33.06 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB190, bitIndex1) | (~v129(constB190, bitIndex1)) | (~v100(constB190))),
% 49.97/33.06 inference(modus_ponens,[status(thm)],[27012, 27011])).
% 49.97/33.06 tff(27014,plain,
% 49.97/33.06 (v90(constB190, bitIndex1) | (~v100(constB190))),
% 49.97/33.06 inference(unit_resolution,[status(thm)],[27013, 711, 27007])).
% 49.97/33.06 tff(27015,plain,
% 49.97/33.06 (v90(constB190, bitIndex1)),
% 49.97/33.06 inference(unit_resolution,[status(thm)],[27014, 26902])).
% 49.97/33.06 tff(27016,plain,
% 49.97/33.06 (((~![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))),
% 49.97/33.06 inference(rewrite,[status(thm)],[])).
% 49.97/33.06 tff(27017,plain,
% 49.97/33.06 (((~nextState(constB190, constB191)) | (~v90(constB190, bitIndex1)) | v100(constB191) | v90(constB191, bitIndex1)) <=> ((~v90(constB190, bitIndex1)) | (~nextState(constB190, constB191)) | v100(constB191) | v90(constB191, bitIndex1))),
% 49.97/33.06 inference(rewrite,[status(thm)],[])).
% 49.97/33.06 tff(27018,plain,
% 49.97/33.06 (((~![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)))),
% 49.97/33.06 inference(monotonicity,[status(thm)],[27017])).
% 49.97/33.06 tff(27019,plain,
% 49.97/33.06 (((~![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))),
% 49.97/33.06 inference(transitivity,[status(thm)],[27018, 27016])).
% 49.97/33.06 tff(27020,plain,
% 49.97/33.06 ((~![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))),
% 49.97/33.06 inference(quant_inst,[status(thm)],[])).
% 49.97/33.06 tff(27021,plain,
% 49.97/33.06 ((~![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)),
% 49.97/33.06 inference(modus_ponens,[status(thm)],[27020, 27019])).
% 49.97/33.06 tff(27022,plain,
% 49.97/33.06 ((~v90(constB190, bitIndex1)) | v100(constB191) | v90(constB191, bitIndex1)),
% 49.97/33.06 inference(unit_resolution,[status(thm)],[27021, 747, 26941])).
% 49.97/33.06 tff(27023,plain,
% 49.97/33.06 ((~v90(constB190, bitIndex1)) | v90(constB191, bitIndex1)),
% 49.97/33.06 inference(unit_resolution,[status(thm)],[27022, 26953])).
% 49.97/33.06 tff(27024,plain,
% 49.97/33.06 (v90(constB191, bitIndex1)),
% 49.97/33.06 inference(unit_resolution,[status(thm)],[27023, 27015])).
% 49.97/33.06 tff(27025,assumption,(~v122(constB191)), introduced(assumption)).
% 49.97/33.06 tff(27026,plain,
% 49.97/33.06 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB191, bitIndex0)) | (~v90(constB191, bitIndex1)) | v90(constB191, bitIndex2) | v122(constB191))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB191, bitIndex0)) | (~v90(constB191, bitIndex1)) | v90(constB191, bitIndex2) | v122(constB191))),
% 49.97/33.06 inference(rewrite,[status(thm)],[])).
% 49.97/33.06 tff(27027,plain,
% 49.97/33.06 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB191, bitIndex0)) | (~v90(constB191, bitIndex1)) | v90(constB191, bitIndex2) | v122(constB191))),
% 49.97/33.06 inference(quant_inst,[status(thm)],[])).
% 49.97/33.06 tff(27028,plain,
% 49.97/33.06 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB191, bitIndex0)) | (~v90(constB191, bitIndex1)) | v90(constB191, bitIndex2) | v122(constB191)),
% 49.97/33.06 inference(modus_ponens,[status(thm)],[27027, 27026])).
% 49.97/33.06 tff(27029,plain,
% 49.97/33.06 ((~v90(constB191, bitIndex0)) | (~v90(constB191, bitIndex1)) | v90(constB191, bitIndex2)),
% 49.97/33.06 inference(unit_resolution,[status(thm)],[27028, 1789, 27025])).
% 49.97/33.06 tff(27030,plain,
% 49.97/33.06 ($false),
% 49.97/33.06 inference(unit_resolution,[status(thm)],[27029, 27024, 26993, 26962])).
% 49.97/33.06 tff(27031,plain,((~v121(constB189)) | v122(constB191)), inference(lemma,lemma(discharge,[]))).
% 49.97/33.06 tff(27032,plain,
% 49.97/33.06 (v122(constB191)),
% 49.97/33.06 inference(unit_resolution,[status(thm)],[27031, 26747])).
% 49.97/33.06 tff(27033,plain,
% 49.97/33.06 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB191)) | (~v130(constB191, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB191)) | (~v130(constB191, bitIndex1)))),
% 49.97/33.06 inference(rewrite,[status(thm)],[])).
% 49.97/33.06 tff(27034,plain,
% 49.97/33.06 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB191)) | (~v130(constB191, bitIndex1)))),
% 49.97/33.06 inference(quant_inst,[status(thm)],[])).
% 49.97/33.06 tff(27035,plain,
% 49.97/33.06 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB191)) | (~v130(constB191, bitIndex1))),
% 49.97/33.06 inference(modus_ponens,[status(thm)],[27034, 27033])).
% 49.97/33.06 tff(27036,plain,
% 49.97/33.06 (~v130(constB191, bitIndex1)),
% 49.97/33.06 inference(unit_resolution,[status(thm)],[27035, 1935, 27032])).
% 49.97/33.06 tff(27037,assumption,(v26(constB191)), introduced(assumption)).
% 49.97/33.06 tff(27038,plain,
% 49.97/33.06 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB191))),
% 49.97/33.06 inference(quant_inst,[status(thm)],[])).
% 49.97/33.06 tff(27039,plain,
% 49.97/33.06 ($false),
% 49.97/33.06 inference(unit_resolution,[status(thm)],[27038, 16, 27037])).
% 49.97/33.06 tff(27040,plain,(~v26(constB191)), inference(lemma,lemma(discharge,[]))).
% 49.97/33.06 tff(27041,plain,
% 49.97/33.06 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB191, bitIndex1)) | v26(constB191) | v130(constB191, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB191, bitIndex1)) | v26(constB191) | v130(constB191, bitIndex1))),
% 49.97/33.06 inference(rewrite,[status(thm)],[])).
% 49.97/33.06 tff(27042,plain,
% 49.97/33.06 ((v26(constB191) | v130(constB191, bitIndex1) | (~v127(constB191, bitIndex1))) <=> ((~v127(constB191, bitIndex1)) | v26(constB191) | v130(constB191, bitIndex1))),
% 49.97/33.06 inference(rewrite,[status(thm)],[])).
% 49.97/33.06 tff(27043,plain,
% 49.97/33.06 (((~![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)))) | ((~v127(constB191, bitIndex1)) | v26(constB191) | v130(constB191, bitIndex1)))),
% 49.97/33.06 inference(monotonicity,[status(thm)],[27042])).
% 49.97/33.06 tff(27044,plain,
% 49.97/33.06 (((~![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)))) | (~v127(constB191, bitIndex1)) | v26(constB191) | v130(constB191, bitIndex1))),
% 49.97/33.06 inference(transitivity,[status(thm)],[27043, 27041])).
% 49.97/33.06 tff(27045,plain,
% 49.97/33.06 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB191) | v130(constB191, bitIndex1) | (~v127(constB191, bitIndex1)))),
% 49.97/33.07 inference(quant_inst,[status(thm)],[])).
% 49.97/33.07 tff(27046,plain,
% 49.97/33.07 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB191, bitIndex1)) | v26(constB191) | v130(constB191, bitIndex1)),
% 49.97/33.07 inference(modus_ponens,[status(thm)],[27045, 27044])).
% 49.97/33.07 tff(27047,plain,
% 49.97/33.07 ((~v127(constB191, bitIndex1)) | v130(constB191, bitIndex1)),
% 49.97/33.07 inference(unit_resolution,[status(thm)],[27046, 450, 27040])).
% 49.97/33.07 tff(27048,plain,
% 49.97/33.07 (~v127(constB191, bitIndex1)),
% 49.97/33.07 inference(unit_resolution,[status(thm)],[27047, 27036])).
% 49.97/33.07 tff(27049,plain,
% 49.97/33.07 (nextState(constB191, constB192) <=> nextState(constB191, constB192)),
% 49.97/33.07 inference(rewrite,[status(thm)],[])).
% 49.97/33.07 tff(27050,axiom,(nextState(constB191, constB192)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_191_1')).
% 49.97/33.07 tff(27051,plain,
% 49.97/33.07 (nextState(constB191, constB192)),
% 49.97/33.07 inference(modus_ponens,[status(thm)],[27050, 27049])).
% 49.97/33.07 tff(27052,plain,
% 49.97/33.07 (((~![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)))),
% 49.97/33.07 inference(rewrite,[status(thm)],[])).
% 49.97/33.07 tff(27053,plain,
% 49.97/33.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB191, constB192)) | v127(constB191, bitIndex1) | (~v129(constB192, bitIndex1)))),
% 49.97/33.07 inference(quant_inst,[status(thm)],[])).
% 49.97/33.07 tff(27054,plain,
% 49.97/33.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB191, constB192)) | v127(constB191, bitIndex1) | (~v129(constB192, bitIndex1))),
% 49.97/33.07 inference(modus_ponens,[status(thm)],[27053, 27052])).
% 49.97/33.07 tff(27055,plain,
% 49.97/33.07 (v127(constB191, bitIndex1) | (~v129(constB192, bitIndex1))),
% 49.97/33.07 inference(unit_resolution,[status(thm)],[27054, 468, 27051])).
% 49.97/33.07 tff(27056,plain,
% 49.97/33.07 (~v129(constB192, bitIndex1)),
% 49.97/33.07 inference(unit_resolution,[status(thm)],[27055, 27048])).
% 49.97/33.07 tff(27057,assumption,(~v100(constB192)), introduced(assumption)).
% 49.97/33.07 tff(27058,plain,
% 49.97/33.07 (((~![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)))),
% 49.97/33.07 inference(rewrite,[status(thm)],[])).
% 49.97/33.07 tff(27059,plain,
% 49.97/33.07 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB191) | (~nextState(constB191, constB192)) | (~v104(constB192)))),
% 49.97/33.07 inference(quant_inst,[status(thm)],[])).
% 49.97/33.07 tff(27060,plain,
% 49.97/33.07 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB191) | (~nextState(constB191, constB192)) | (~v104(constB192))),
% 49.97/33.07 inference(modus_ponens,[status(thm)],[27059, 27058])).
% 49.97/33.07 tff(27061,plain,
% 49.97/33.07 (~v104(constB192)),
% 49.97/33.07 inference(unit_resolution,[status(thm)],[27060, 271, 27051, 26938])).
% 49.97/33.07 tff(27062,plain,
% 49.97/33.07 (((~![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))),
% 49.97/33.07 inference(rewrite,[status(thm)],[])).
% 49.97/33.07 tff(27063,plain,
% 49.97/33.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB191, constB192)) | v102(constB192) | v104(constB192))),
% 49.97/33.07 inference(quant_inst,[status(thm)],[])).
% 49.97/33.07 tff(27064,plain,
% 49.97/33.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB191, constB192)) | v102(constB192) | v104(constB192)),
% 49.97/33.07 inference(modus_ponens,[status(thm)],[27063, 27062])).
% 49.97/33.07 tff(27065,plain,
% 49.97/33.07 (v102(constB192) | v104(constB192)),
% 49.97/33.07 inference(unit_resolution,[status(thm)],[27064, 285, 27051])).
% 49.97/33.07 tff(27066,plain,
% 49.97/33.07 (v102(constB192)),
% 49.97/33.07 inference(unit_resolution,[status(thm)],[27065, 27061])).
% 49.97/33.07 tff(27067,plain,
% 49.97/33.07 (v1(constB192) <=> v1(constB192)),
% 49.97/33.07 inference(rewrite,[status(thm)],[])).
% 49.97/33.07 tff(27068,axiom,(v1(constB192)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_192_1')).
% 49.97/33.07 tff(27069,plain,
% 49.97/33.07 (v1(constB192)),
% 49.97/33.07 inference(modus_ponens,[status(thm)],[27068, 27067])).
% 49.97/33.07 tff(27070,plain,
% 49.97/33.07 (((~![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)))),
% 49.97/33.07 inference(rewrite,[status(thm)],[])).
% 49.97/33.07 tff(27071,plain,
% 49.97/33.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB191, constB192)) | v101(constB192) | (~v102(constB192)) | (~v1(constB192)))),
% 49.97/33.07 inference(quant_inst,[status(thm)],[])).
% 49.97/33.07 tff(27072,plain,
% 49.97/33.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB191, constB192)) | v101(constB192) | (~v102(constB192)) | (~v1(constB192))),
% 49.97/33.07 inference(modus_ponens,[status(thm)],[27071, 27070])).
% 49.97/33.07 tff(27073,plain,
% 49.97/33.07 (v101(constB192) | (~v102(constB192))),
% 49.97/33.07 inference(unit_resolution,[status(thm)],[27072, 303, 27051, 27069])).
% 49.97/33.07 tff(27074,plain,
% 49.97/33.07 (v101(constB192)),
% 49.97/33.07 inference(unit_resolution,[status(thm)],[27073, 27066])).
% 49.97/33.07 tff(27075,plain,
% 49.97/33.07 (((~![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)))),
% 49.97/33.07 inference(rewrite,[status(thm)],[])).
% 49.97/33.07 tff(27076,plain,
% 49.97/33.07 (((~nextState(constB191, constB192)) | (~v101(constB192)) | (~v110(constB192)) | v100(constB192)) <=> ((~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192)))),
% 49.97/33.07 inference(rewrite,[status(thm)],[])).
% 49.97/33.07 tff(27077,plain,
% 49.97/33.07 (((~![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))))),
% 49.97/33.07 inference(monotonicity,[status(thm)],[27076])).
% 49.97/33.07 tff(27078,plain,
% 49.97/33.07 (((~![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)))),
% 49.97/33.07 inference(transitivity,[status(thm)],[27077, 27075])).
% 49.97/33.07 tff(27079,plain,
% 49.97/33.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB191, constB192)) | (~v101(constB192)) | (~v110(constB192)) | v100(constB192))),
% 49.97/33.07 inference(quant_inst,[status(thm)],[])).
% 49.97/33.07 tff(27080,plain,
% 49.97/33.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB191, constB192)) | v100(constB192) | (~v101(constB192)) | (~v110(constB192))),
% 49.97/33.07 inference(modus_ponens,[status(thm)],[27079, 27078])).
% 49.97/33.07 tff(27081,plain,
% 49.97/33.07 (v100(constB192) | (~v101(constB192)) | (~v110(constB192))),
% 49.97/33.07 inference(unit_resolution,[status(thm)],[27080, 318, 27051])).
% 49.97/33.07 tff(27082,plain,
% 49.97/33.07 (v100(constB192) | (~v110(constB192))),
% 49.97/33.07 inference(unit_resolution,[status(thm)],[27081, 27074])).
% 49.97/33.07 tff(27083,plain,
% 49.97/33.07 (~v110(constB192)),
% 49.97/33.07 inference(unit_resolution,[status(thm)],[27082, 27057])).
% 49.97/33.07 tff(27084,plain,
% 49.97/33.07 (((~![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)))),
% 49.97/33.07 inference(rewrite,[status(thm)],[])).
% 49.97/33.07 tff(27085,plain,
% 49.97/33.07 (((~nextState(constB191, constB192)) | (~v108(constB191)) | v110(constB192)) <=> ((~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191)))),
% 49.97/33.07 inference(rewrite,[status(thm)],[])).
% 49.97/33.07 tff(27086,plain,
% 49.97/33.07 (((~![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))))),
% 49.97/33.07 inference(monotonicity,[status(thm)],[27085])).
% 49.97/33.07 tff(27087,plain,
% 49.97/33.07 (((~![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)))),
% 49.97/33.07 inference(transitivity,[status(thm)],[27086, 27084])).
% 49.97/33.07 tff(27088,plain,
% 49.97/33.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB191, constB192)) | (~v108(constB191)) | v110(constB192))),
% 49.97/33.07 inference(quant_inst,[status(thm)],[])).
% 49.97/33.07 tff(27089,plain,
% 49.97/33.07 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB191, constB192)) | v110(constB192) | (~v108(constB191))),
% 49.97/33.07 inference(modus_ponens,[status(thm)],[27088, 27087])).
% 49.97/33.07 tff(27090,plain,
% 49.97/33.07 (v110(constB192) | (~v108(constB191))),
% 49.97/33.07 inference(unit_resolution,[status(thm)],[27089, 253, 27051])).
% 49.97/33.07 tff(27091,plain,
% 49.97/33.07 (~v108(constB191)),
% 49.97/33.07 inference(unit_resolution,[status(thm)],[27090, 27083])).
% 49.97/33.07 tff(27092,plain,
% 49.97/33.07 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB191) | (~v112(constB191)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB191) | (~v112(constB191)))),
% 49.97/33.07 inference(rewrite,[status(thm)],[])).
% 49.97/33.07 tff(27093,plain,
% 49.97/33.07 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB191) | (~v112(constB191)))),
% 49.97/33.07 inference(quant_inst,[status(thm)],[])).
% 49.97/33.07 tff(27094,plain,
% 49.97/33.07 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB191) | (~v112(constB191))),
% 49.97/33.07 inference(modus_ponens,[status(thm)],[27093, 27092])).
% 49.97/33.07 tff(27095,plain,
% 49.97/33.07 (~v112(constB191)),
% 49.97/33.07 inference(unit_resolution,[status(thm)],[27094, 236, 27091])).
% 49.97/33.07 tff(27096,plain,
% 49.97/33.07 (((~![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))),
% 49.97/33.07 inference(rewrite,[status(thm)],[])).
% 49.97/33.07 tff(27097,plain,
% 49.97/33.07 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB191) | (~v113(constB191)) | v112(constB191))),
% 49.97/33.07 inference(quant_inst,[status(thm)],[])).
% 49.97/33.07 tff(27098,plain,
% 49.97/33.07 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB191) | (~v113(constB191)) | v112(constB191)),
% 49.97/33.07 inference(modus_ponens,[status(thm)],[27097, 27096])).
% 49.97/33.07 tff(27099,plain,
% 49.97/33.07 ((~v113(constB191)) | v112(constB191)),
% 49.97/33.07 inference(unit_resolution,[status(thm)],[27098, 224, 27040])).
% 49.97/33.07 tff(27100,plain,
% 49.97/33.07 (~v113(constB191)),
% 49.97/33.07 inference(unit_resolution,[status(thm)],[27099, 27095])).
% 49.97/33.07 tff(27101,plain,
% 49.97/33.07 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB191) | (~v114(constB191)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB191) | (~v114(constB191)))),
% 49.97/33.07 inference(rewrite,[status(thm)],[])).
% 49.97/33.07 tff(27102,plain,
% 49.97/33.07 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB191) | (~v114(constB191)))),
% 49.97/33.07 inference(quant_inst,[status(thm)],[])).
% 49.97/33.07 tff(27103,plain,
% 49.97/33.07 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB191) | (~v114(constB191))),
% 49.97/33.07 inference(modus_ponens,[status(thm)],[27102, 27101])).
% 49.97/33.07 tff(27104,plain,
% 49.97/33.07 (~v114(constB191)),
% 49.97/33.07 inference(unit_resolution,[status(thm)],[27103, 210, 27100])).
% 49.97/33.07 tff(27105,plain,
% 49.97/33.07 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB191) | (~v115(constB191)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB191) | (~v115(constB191)))),
% 49.97/33.07 inference(rewrite,[status(thm)],[])).
% 49.97/33.07 tff(27106,plain,
% 49.97/33.07 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB191) | (~v115(constB191)))),
% 49.97/33.07 inference(quant_inst,[status(thm)],[])).
% 49.97/33.07 tff(27107,plain,
% 49.97/33.07 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB191) | (~v115(constB191))),
% 49.97/33.07 inference(modus_ponens,[status(thm)],[27106, 27105])).
% 49.97/33.07 tff(27108,plain,
% 49.97/33.07 (~v115(constB191)),
% 49.97/33.07 inference(unit_resolution,[status(thm)],[27107, 199, 27104])).
% 49.97/33.07 tff(27109,plain,
% 49.97/33.07 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB191) | (~v116(constB191)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB191) | (~v116(constB191)))),
% 49.97/33.07 inference(rewrite,[status(thm)],[])).
% 49.97/33.07 tff(27110,plain,
% 49.97/33.07 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB191) | (~v116(constB191)))),
% 49.97/33.07 inference(quant_inst,[status(thm)],[])).
% 49.97/33.07 tff(27111,plain,
% 49.97/33.07 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB191) | (~v116(constB191))),
% 49.97/33.07 inference(modus_ponens,[status(thm)],[27110, 27109])).
% 49.97/33.07 tff(27112,plain,
% 49.97/33.07 (~v116(constB191)),
% 49.97/33.07 inference(unit_resolution,[status(thm)],[27111, 188, 27108])).
% 49.97/33.07 tff(27113,plain,
% 49.97/33.07 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB191) | (~v122(constB191)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB191) | (~v122(constB191)))),
% 49.97/33.07 inference(rewrite,[status(thm)],[])).
% 49.97/33.07 tff(27114,plain,
% 49.97/33.07 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB191) | (~v122(constB191)))),
% 49.97/33.07 inference(quant_inst,[status(thm)],[])).
% 49.97/33.07 tff(27115,plain,
% 49.97/33.07 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB191) | (~v122(constB191))),
% 49.97/33.07 inference(modus_ponens,[status(thm)],[27114, 27113])).
% 49.97/33.07 tff(27116,plain,
% 49.97/33.07 (~v122(constB191)),
% 49.97/33.07 inference(unit_resolution,[status(thm)],[27115, 1800, 27112])).
% 49.97/33.07 tff(27117,plain,
% 49.97/33.07 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB191) | (~v117(constB191)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB191) | (~v117(constB191)))),
% 49.97/33.07 inference(rewrite,[status(thm)],[])).
% 49.97/33.07 tff(27118,plain,
% 49.97/33.07 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB191) | (~v117(constB191)))),
% 49.97/33.07 inference(quant_inst,[status(thm)],[])).
% 49.97/33.07 tff(27119,plain,
% 49.97/33.07 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB191) | (~v117(constB191))),
% 49.97/33.07 inference(modus_ponens,[status(thm)],[27118, 27117])).
% 49.97/33.07 tff(27120,plain,
% 49.97/33.07 (~v117(constB191)),
% 49.97/33.07 inference(unit_resolution,[status(thm)],[27119, 177, 27112])).
% 49.97/33.07 tff(27121,plain,
% 49.97/33.07 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB191) | (~v118(constB191)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB191) | (~v118(constB191)))),
% 49.97/33.07 inference(rewrite,[status(thm)],[])).
% 49.97/33.07 tff(27122,plain,
% 49.97/33.07 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB191) | (~v118(constB191)))),
% 49.97/33.07 inference(quant_inst,[status(thm)],[])).
% 49.97/33.07 tff(27123,plain,
% 49.97/33.07 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB191) | (~v118(constB191))),
% 49.97/33.07 inference(modus_ponens,[status(thm)],[27122, 27121])).
% 49.97/33.07 tff(27124,plain,
% 49.97/33.07 (~v118(constB191)),
% 49.97/33.07 inference(unit_resolution,[status(thm)],[27123, 166, 27120])).
% 49.97/33.07 tff(27125,plain,
% 49.97/33.07 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB191) | (~v120(constB191)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB191) | (~v120(constB191)))),
% 49.97/33.07 inference(rewrite,[status(thm)],[])).
% 49.97/33.07 tff(27126,plain,
% 49.97/33.07 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB191) | (~v120(constB191)))),
% 49.97/33.07 inference(quant_inst,[status(thm)],[])).
% 49.97/33.07 tff(27127,plain,
% 49.97/33.07 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB191) | (~v120(constB191))),
% 49.97/33.07 inference(modus_ponens,[status(thm)],[27126, 27125])).
% 49.97/33.07 tff(27128,plain,
% 49.97/33.07 (~v120(constB191)),
% 49.97/33.07 inference(unit_resolution,[status(thm)],[27127, 1302, 27124])).
% 49.97/33.07 tff(27129,plain,
% 49.97/33.07 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB191) | (~v121(constB191)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB191) | (~v121(constB191)))),
% 49.97/33.07 inference(rewrite,[status(thm)],[])).
% 49.97/33.07 tff(27130,plain,
% 49.97/33.07 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB191) | (~v121(constB191)))),
% 49.97/33.07 inference(quant_inst,[status(thm)],[])).
% 49.97/33.07 tff(27131,plain,
% 49.97/33.07 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB191) | (~v121(constB191))),
% 49.97/33.07 inference(modus_ponens,[status(thm)],[27130, 27129])).
% 49.97/33.07 tff(27132,plain,
% 49.97/33.07 (~v121(constB191)),
% 49.97/33.07 inference(unit_resolution,[status(thm)],[27131, 1562, 27120])).
% 49.97/33.07 tff(27133,plain,
% 49.97/33.07 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB191) | (~v119(constB191)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB191) | (~v119(constB191)))),
% 49.97/33.07 inference(rewrite,[status(thm)],[])).
% 49.97/33.07 tff(27134,plain,
% 49.97/33.07 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB191) | (~v119(constB191)))),
% 49.97/33.07 inference(quant_inst,[status(thm)],[])).
% 49.97/33.07 tff(27135,plain,
% 49.97/33.07 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB191) | (~v119(constB191))),
% 49.97/33.07 inference(modus_ponens,[status(thm)],[27134, 27133])).
% 49.97/33.07 tff(27136,plain,
% 49.97/33.07 (~v119(constB191)),
% 49.97/33.07 inference(unit_resolution,[status(thm)],[27135, 155, 27124])).
% 49.97/33.07 tff(27137,plain,
% 49.97/33.07 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB191) | (~v125(constB191)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB191) | (~v125(constB191)))),
% 49.97/33.07 inference(rewrite,[status(thm)],[])).
% 49.97/33.07 tff(27138,plain,
% 49.97/33.07 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB191) | (~v125(constB191)))),
% 49.97/33.07 inference(quant_inst,[status(thm)],[])).
% 49.97/33.07 tff(27139,plain,
% 49.97/33.07 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB191) | (~v125(constB191))),
% 49.97/33.07 inference(modus_ponens,[status(thm)],[27138, 27137])).
% 49.97/33.07 tff(27140,plain,
% 49.97/33.07 (~v125(constB191)),
% 49.97/33.07 inference(unit_resolution,[status(thm)],[27139, 1031, 27100])).
% 49.97/33.07 tff(27141,plain,
% 49.97/33.07 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB191) | (~v123(constB191)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB191) | (~v123(constB191)))),
% 49.97/33.07 inference(rewrite,[status(thm)],[])).
% 49.97/33.07 tff(27142,plain,
% 49.97/33.07 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB191) | (~v123(constB191)))),
% 49.97/33.07 inference(quant_inst,[status(thm)],[])).
% 49.97/33.07 tff(27143,plain,
% 49.97/33.07 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB191) | (~v123(constB191))),
% 49.97/33.07 inference(modus_ponens,[status(thm)],[27142, 27141])).
% 49.97/33.07 tff(27144,plain,
% 49.97/33.07 (~v123(constB191)),
% 49.97/33.07 inference(unit_resolution,[status(thm)],[27143, 595, 27108])).
% 49.97/33.07 tff(27145,assumption,(~v90(constB191, bitIndex0)), introduced(assumption)).
% 49.97/33.07 tff(27146,assumption,(~v121(constB191)), introduced(assumption)).
% 49.97/33.07 tff(27147,assumption,(~v119(constB191)), introduced(assumption)).
% 49.97/33.07 tff(27148,assumption,(~v90(constB191, bitIndex2)), introduced(assumption)).
% 49.97/33.07 tff(27149,plain,
% 49.97/33.07 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB191, bitIndex0) | (~v90(constB191, bitIndex1)) | v90(constB191, bitIndex2) | v121(constB191))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB191, bitIndex0) | (~v90(constB191, bitIndex1)) | v90(constB191, bitIndex2) | v121(constB191))),
% 49.97/33.07 inference(rewrite,[status(thm)],[])).
% 49.97/33.07 tff(27150,plain,
% 49.97/33.07 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB191, bitIndex0) | (~v90(constB191, bitIndex1)) | v90(constB191, bitIndex2) | v121(constB191))),
% 49.97/33.07 inference(quant_inst,[status(thm)],[])).
% 49.97/33.07 tff(27151,plain,
% 49.97/33.07 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB191, bitIndex0) | (~v90(constB191, bitIndex1)) | v90(constB191, bitIndex2) | v121(constB191)),
% 49.97/33.07 inference(modus_ponens,[status(thm)],[27150, 27149])).
% 49.97/33.07 tff(27152,plain,
% 49.97/33.07 (v90(constB191, bitIndex0) | (~v90(constB191, bitIndex1)) | v90(constB191, bitIndex2)),
% 49.97/33.07 inference(unit_resolution,[status(thm)],[27151, 1551, 27146])).
% 49.97/33.07 tff(27153,plain,
% 49.97/33.07 (~v90(constB191, bitIndex1)),
% 49.97/33.07 inference(unit_resolution,[status(thm)],[27152, 27148, 27145])).
% 49.97/33.07 tff(27154,plain,
% 49.97/33.07 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB191) | v90(constB191, bitIndex0) | v90(constB191, bitIndex1) | v90(constB191, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB191) | v90(constB191, bitIndex0) | v90(constB191, bitIndex1) | v90(constB191, bitIndex2))),
% 49.97/33.07 inference(rewrite,[status(thm)],[])).
% 49.97/33.07 tff(27155,plain,
% 49.97/33.07 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB191) | v90(constB191, bitIndex0) | v90(constB191, bitIndex1) | v90(constB191, bitIndex2))),
% 49.97/33.07 inference(quant_inst,[status(thm)],[])).
% 49.97/33.07 tff(27156,plain,
% 49.97/33.07 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB191) | v90(constB191, bitIndex0) | v90(constB191, bitIndex1) | v90(constB191, bitIndex2)),
% 49.97/33.07 inference(modus_ponens,[status(thm)],[27155, 27154])).
% 49.97/33.07 tff(27157,plain,
% 49.97/33.07 (v90(constB191, bitIndex0) | v90(constB191, bitIndex1) | v90(constB191, bitIndex2)),
% 49.97/33.07 inference(unit_resolution,[status(thm)],[27156, 144, 27147])).
% 49.97/33.07 tff(27158,plain,
% 49.97/33.07 ($false),
% 49.97/33.07 inference(unit_resolution,[status(thm)],[27157, 27153, 27148, 27145])).
% 49.97/33.07 tff(27159,plain,(v90(constB191, bitIndex2) | v90(constB191, bitIndex0) | v119(constB191) | v121(constB191)), inference(lemma,lemma(discharge,[]))).
% 49.97/33.07 tff(27160,plain,
% 49.97/33.07 (v90(constB191, bitIndex2)),
% 49.97/33.07 inference(unit_resolution,[status(thm)],[27159, 27145, 27147, 27146])).
% 49.97/33.07 tff(27161,assumption,(~v125(constB191)), introduced(assumption)).
% 49.97/33.07 tff(27162,plain,
% 49.97/33.07 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB191, bitIndex0) | (~v90(constB191, bitIndex1)) | (~v90(constB191, bitIndex2)) | v125(constB191))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB191, bitIndex0) | (~v90(constB191, bitIndex1)) | (~v90(constB191, bitIndex2)) | v125(constB191))),
% 49.97/33.07 inference(rewrite,[status(thm)],[])).
% 49.97/33.07 tff(27163,plain,
% 49.97/33.07 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB191, bitIndex0) | (~v90(constB191, bitIndex1)) | (~v90(constB191, bitIndex2)) | v125(constB191))),
% 49.97/33.07 inference(quant_inst,[status(thm)],[])).
% 49.97/33.07 tff(27164,plain,
% 49.97/33.07 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB191, bitIndex0) | (~v90(constB191, bitIndex1)) | (~v90(constB191, bitIndex2)) | v125(constB191)),
% 49.97/33.07 inference(modus_ponens,[status(thm)],[27163, 27162])).
% 49.97/33.07 tff(27165,plain,
% 49.97/33.07 (v90(constB191, bitIndex0) | (~v90(constB191, bitIndex1)) | (~v90(constB191, bitIndex2))),
% 49.97/33.07 inference(unit_resolution,[status(thm)],[27164, 1019, 27161])).
% 49.97/33.07 tff(27166,plain,
% 49.97/33.07 (~v90(constB191, bitIndex1)),
% 49.97/33.07 inference(unit_resolution,[status(thm)],[27165, 27160, 27145])).
% 49.97/33.07 tff(27167,assumption,(~v123(constB191)), introduced(assumption)).
% 49.97/33.07 tff(27168,plain,
% 49.97/33.07 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB191, bitIndex0) | v90(constB191, bitIndex1) | (~v90(constB191, bitIndex2)) | v123(constB191))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB191, bitIndex0) | v90(constB191, bitIndex1) | (~v90(constB191, bitIndex2)) | v123(constB191))),
% 49.97/33.07 inference(rewrite,[status(thm)],[])).
% 49.97/33.07 tff(27169,plain,
% 49.97/33.07 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB191, bitIndex0) | v90(constB191, bitIndex1) | (~v90(constB191, bitIndex2)) | v123(constB191))),
% 49.97/33.07 inference(quant_inst,[status(thm)],[])).
% 49.97/33.07 tff(27170,plain,
% 49.97/33.07 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB191, bitIndex0) | v90(constB191, bitIndex1) | (~v90(constB191, bitIndex2)) | v123(constB191)),
% 49.97/33.07 inference(modus_ponens,[status(thm)],[27169, 27168])).
% 49.97/33.07 tff(27171,plain,
% 49.97/33.07 (v90(constB191, bitIndex0) | v90(constB191, bitIndex1) | (~v90(constB191, bitIndex2))),
% 49.97/33.07 inference(unit_resolution,[status(thm)],[27170, 584, 27167])).
% 49.97/33.07 tff(27172,plain,
% 49.97/33.07 ($false),
% 49.97/33.07 inference(unit_resolution,[status(thm)],[27171, 27166, 27160, 27145])).
% 49.97/33.07 tff(27173,plain,(v90(constB191, bitIndex0) | v123(constB191) | v125(constB191) | v119(constB191) | v121(constB191)), inference(lemma,lemma(discharge,[]))).
% 49.97/33.07 tff(27174,plain,
% 49.97/33.07 (v90(constB191, bitIndex0)),
% 49.97/33.07 inference(unit_resolution,[status(thm)],[27173, 27144, 27140, 27136, 27132])).
% 49.97/33.07 tff(27175,assumption,(v90(constB191, bitIndex0)), introduced(assumption)).
% 49.97/33.07 tff(27176,plain,
% 49.97/33.07 (~v90(constB191, bitIndex1)),
% 49.97/33.07 inference(unit_resolution,[status(thm)],[27029, 27148, 27175])).
% 49.97/33.07 tff(27177,assumption,(~v120(constB191)), introduced(assumption)).
% 49.97/33.07 tff(27178,plain,
% 49.97/33.07 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB191, bitIndex0)) | v90(constB191, bitIndex1) | v90(constB191, bitIndex2) | v120(constB191))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB191, bitIndex0)) | v90(constB191, bitIndex1) | v90(constB191, bitIndex2) | v120(constB191))),
% 49.97/33.07 inference(rewrite,[status(thm)],[])).
% 49.97/33.07 tff(27179,plain,
% 49.97/33.07 (((~v90(constB191, bitIndex0)) | v120(constB191) | v90(constB191, bitIndex1) | v90(constB191, bitIndex2)) <=> ((~v90(constB191, bitIndex0)) | v90(constB191, bitIndex1) | v90(constB191, bitIndex2) | v120(constB191))),
% 49.97/33.07 inference(rewrite,[status(thm)],[])).
% 49.97/33.07 tff(27180,plain,
% 49.97/33.07 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB191, bitIndex0)) | v120(constB191) | v90(constB191, bitIndex1) | v90(constB191, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB191, bitIndex0)) | v90(constB191, bitIndex1) | v90(constB191, bitIndex2) | v120(constB191)))),
% 49.97/33.07 inference(monotonicity,[status(thm)],[27179])).
% 49.97/33.07 tff(27181,plain,
% 49.97/33.07 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB191, bitIndex0)) | v120(constB191) | v90(constB191, bitIndex1) | v90(constB191, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB191, bitIndex0)) | v90(constB191, bitIndex1) | v90(constB191, bitIndex2) | v120(constB191))),
% 49.97/33.07 inference(transitivity,[status(thm)],[27180, 27178])).
% 49.97/33.07 tff(27182,plain,
% 49.97/33.07 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB191, bitIndex0)) | v120(constB191) | v90(constB191, bitIndex1) | v90(constB191, bitIndex2))),
% 49.97/33.07 inference(quant_inst,[status(thm)],[])).
% 49.97/33.07 tff(27183,plain,
% 49.97/33.07 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB191, bitIndex0)) | v90(constB191, bitIndex1) | v90(constB191, bitIndex2) | v120(constB191)),
% 49.97/33.07 inference(modus_ponens,[status(thm)],[27182, 27181])).
% 49.97/33.07 tff(27184,plain,
% 49.97/33.07 ((~v90(constB191, bitIndex0)) | v90(constB191, bitIndex1) | v90(constB191, bitIndex2)),
% 49.97/33.07 inference(unit_resolution,[status(thm)],[27183, 1285, 27177])).
% 49.97/33.07 tff(27185,plain,
% 49.97/33.07 ($false),
% 49.97/33.07 inference(unit_resolution,[status(thm)],[27184, 27176, 27148, 27175])).
% 49.97/33.07 tff(27186,plain,(v90(constB191, bitIndex2) | (~v90(constB191, bitIndex0)) | v120(constB191) | v122(constB191)), inference(lemma,lemma(discharge,[]))).
% 49.97/33.07 tff(27187,plain,
% 49.97/33.07 (v90(constB191, bitIndex2)),
% 49.97/33.07 inference(unit_resolution,[status(thm)],[27186, 27174, 27128, 27116])).
% 49.97/33.07 tff(27188,plain,
% 49.97/33.07 (v90(constB190, bitIndex2)),
% 49.97/33.07 inference(unit_resolution,[status(thm)],[26961, 27187])).
% 49.97/33.07 tff(27189,plain,
% 49.97/33.07 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB191) | (~v124(constB191)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB191) | (~v124(constB191)))),
% 49.97/33.07 inference(rewrite,[status(thm)],[])).
% 49.97/33.07 tff(27190,plain,
% 49.97/33.07 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB191) | (~v124(constB191)))),
% 49.97/33.07 inference(quant_inst,[status(thm)],[])).
% 49.97/33.07 tff(27191,plain,
% 49.97/33.07 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB191) | (~v124(constB191))),
% 49.97/33.07 inference(modus_ponens,[status(thm)],[27190, 27189])).
% 49.97/33.07 tff(27192,plain,
% 49.97/33.07 (~v124(constB191)),
% 49.97/33.07 inference(unit_resolution,[status(thm)],[27191, 2631, 27104])).
% 49.97/33.07 tff(27193,plain,
% 49.97/33.07 (((~![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))),
% 49.97/33.07 inference(rewrite,[status(thm)],[])).
% 49.97/33.07 tff(27194,plain,
% 49.97/33.07 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB191, bitIndex0)) | v90(constB191, bitIndex1) | (~v90(constB191, bitIndex2)) | v124(constB191))),
% 49.97/33.07 inference(quant_inst,[status(thm)],[])).
% 49.97/33.07 tff(27195,plain,
% 49.97/33.07 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB191, bitIndex0)) | v90(constB191, bitIndex1) | (~v90(constB191, bitIndex2)) | v124(constB191)),
% 49.97/33.07 inference(modus_ponens,[status(thm)],[27194, 27193])).
% 49.97/33.07 tff(27196,plain,
% 49.97/33.07 ((~v90(constB191, bitIndex0)) | v90(constB191, bitIndex1) | (~v90(constB191, bitIndex2))),
% 49.97/33.08 inference(unit_resolution,[status(thm)],[27195, 2663, 27192])).
% 49.97/33.08 tff(27197,plain,
% 49.97/33.08 (v90(constB191, bitIndex1)),
% 49.97/33.08 inference(unit_resolution,[status(thm)],[27196, 27187, 27174])).
% 49.97/33.08 tff(27198,plain,
% 49.97/33.08 (((~![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)))),
% 49.97/33.08 inference(rewrite,[status(thm)],[])).
% 49.97/33.08 tff(27199,plain,
% 49.97/33.08 (((~nextState(constB190, constB191)) | v90(constB190, bitIndex1) | v100(constB191) | (~v90(constB191, bitIndex1))) <=> (v90(constB190, bitIndex1) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, bitIndex1)))),
% 49.97/33.08 inference(rewrite,[status(thm)],[])).
% 49.97/33.08 tff(27200,plain,
% 49.97/33.08 (((~![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))))),
% 49.97/33.08 inference(monotonicity,[status(thm)],[27199])).
% 49.97/33.08 tff(27201,plain,
% 49.97/33.08 (((~![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)))),
% 49.97/33.08 inference(transitivity,[status(thm)],[27200, 27198])).
% 49.97/33.08 tff(27202,plain,
% 49.97/33.08 ((~![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)))),
% 49.97/33.08 inference(quant_inst,[status(thm)],[])).
% 49.97/33.08 tff(27203,plain,
% 49.97/33.08 ((~![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))),
% 49.97/33.08 inference(modus_ponens,[status(thm)],[27202, 27201])).
% 49.97/33.08 tff(27204,plain,
% 49.97/33.08 (v90(constB190, bitIndex1) | v100(constB191) | (~v90(constB191, bitIndex1))),
% 49.97/33.08 inference(unit_resolution,[status(thm)],[27203, 102, 26941])).
% 49.97/33.08 tff(27205,plain,
% 49.97/33.08 (v90(constB190, bitIndex1) | (~v90(constB191, bitIndex1))),
% 49.97/33.08 inference(unit_resolution,[status(thm)],[27204, 26953])).
% 49.97/33.08 tff(27206,plain,
% 49.97/33.08 (v90(constB190, bitIndex1)),
% 49.97/33.08 inference(unit_resolution,[status(thm)],[27205, 27197])).
% 49.97/33.08 tff(27207,plain,
% 49.97/33.08 (((~![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)))),
% 49.97/33.08 inference(rewrite,[status(thm)],[])).
% 49.97/33.08 tff(27208,plain,
% 49.97/33.08 (((~nextState(constB190, constB191)) | v90(constB190, bitIndex0) | v100(constB191) | (~v90(constB191, bitIndex0))) <=> (v90(constB190, bitIndex0) | (~nextState(constB190, constB191)) | v100(constB191) | (~v90(constB191, bitIndex0)))),
% 49.97/33.08 inference(rewrite,[status(thm)],[])).
% 49.97/33.08 tff(27209,plain,
% 49.97/33.08 (((~![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))))),
% 49.97/33.08 inference(monotonicity,[status(thm)],[27208])).
% 49.97/33.08 tff(27210,plain,
% 49.97/33.08 (((~![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)))),
% 49.97/33.08 inference(transitivity,[status(thm)],[27209, 27207])).
% 49.97/33.08 tff(27211,plain,
% 49.97/33.08 ((~![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)))),
% 49.97/33.08 inference(quant_inst,[status(thm)],[])).
% 49.97/33.08 tff(27212,plain,
% 49.97/33.08 ((~![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))),
% 49.97/33.08 inference(modus_ponens,[status(thm)],[27211, 27210])).
% 49.97/33.08 tff(27213,plain,
% 49.97/33.08 (v90(constB190, bitIndex0) | v100(constB191) | (~v90(constB191, bitIndex0))),
% 49.97/33.08 inference(unit_resolution,[status(thm)],[27212, 123, 26941])).
% 49.97/33.08 tff(27214,plain,
% 49.97/33.08 (v90(constB190, bitIndex0) | (~v90(constB191, bitIndex0))),
% 49.97/33.08 inference(unit_resolution,[status(thm)],[27213, 26953])).
% 49.97/33.08 tff(27215,plain,
% 49.97/33.08 (v90(constB190, bitIndex0)),
% 49.97/33.08 inference(unit_resolution,[status(thm)],[27214, 27174])).
% 49.97/33.08 tff(27216,assumption,(~v127(constB189, bitIndex0)), introduced(assumption)).
% 49.97/33.08 tff(27217,plain,
% 49.97/33.08 (((~![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)))),
% 49.97/33.08 inference(rewrite,[status(thm)],[])).
% 49.97/33.08 tff(27218,plain,
% 49.97/33.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB189, constB190)) | v127(constB189, bitIndex0) | (~v129(constB190, bitIndex0)))),
% 49.97/33.08 inference(quant_inst,[status(thm)],[])).
% 49.97/33.08 tff(27219,plain,
% 49.97/33.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB189, constB190)) | v127(constB189, bitIndex0) | (~v129(constB190, bitIndex0))),
% 49.97/33.08 inference(modus_ponens,[status(thm)],[27218, 27217])).
% 49.97/33.08 tff(27220,plain,
% 49.97/33.08 (v127(constB189, bitIndex0) | (~v129(constB190, bitIndex0))),
% 49.97/33.08 inference(unit_resolution,[status(thm)],[27219, 542, 26795])).
% 49.97/33.08 tff(27221,plain,
% 49.97/33.08 (~v129(constB190, bitIndex0)),
% 49.97/33.08 inference(unit_resolution,[status(thm)],[27220, 27216])).
% 49.97/33.08 tff(27222,assumption,(v90(constB190, bitIndex0)), introduced(assumption)).
% 49.97/33.08 tff(27223,plain,
% 49.97/33.08 (((~![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)))),
% 49.97/33.08 inference(rewrite,[status(thm)],[])).
% 49.97/33.08 tff(27224,plain,
% 49.97/33.08 (((~v90(constB190, bitIndex0)) | (~v100(constB190)) | v129(constB190, bitIndex0)) <=> ((~v90(constB190, bitIndex0)) | v129(constB190, bitIndex0) | (~v100(constB190)))),
% 49.97/33.08 inference(rewrite,[status(thm)],[])).
% 49.97/33.08 tff(27225,plain,
% 49.97/33.08 (((~![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))))),
% 49.97/33.08 inference(monotonicity,[status(thm)],[27224])).
% 49.97/33.08 tff(27226,plain,
% 49.97/33.08 (((~![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)))),
% 49.97/33.08 inference(transitivity,[status(thm)],[27225, 27223])).
% 49.97/33.08 tff(27227,plain,
% 49.97/33.08 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB190, bitIndex0)) | (~v100(constB190)) | v129(constB190, bitIndex0))),
% 49.97/33.08 inference(quant_inst,[status(thm)],[])).
% 49.97/33.08 tff(27228,plain,
% 49.97/33.08 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB190, bitIndex0)) | v129(constB190, bitIndex0) | (~v100(constB190))),
% 49.97/33.08 inference(modus_ponens,[status(thm)],[27227, 27226])).
% 49.97/33.08 tff(27229,plain,
% 49.97/33.08 (v129(constB190, bitIndex0) | (~v100(constB190))),
% 49.97/33.08 inference(unit_resolution,[status(thm)],[27228, 557, 27222])).
% 49.97/33.08 tff(27230,plain,
% 49.97/33.08 (~v100(constB190)),
% 49.97/33.08 inference(unit_resolution,[status(thm)],[27229, 27221])).
% 49.97/33.08 tff(27231,plain,
% 49.97/33.08 (~v110(constB190)),
% 49.97/33.08 inference(unit_resolution,[status(thm)],[26901, 27230])).
% 49.97/33.08 tff(27232,plain,
% 49.97/33.08 (~v108(constB189)),
% 49.97/33.08 inference(unit_resolution,[status(thm)],[26878, 27231])).
% 49.97/33.08 tff(27233,plain,
% 49.97/33.08 (~v112(constB189)),
% 49.97/33.08 inference(unit_resolution,[status(thm)],[26870, 236, 27232])).
% 49.97/33.08 tff(27234,plain,
% 49.97/33.08 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB189) | (~v26(constB189)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB189) | (~v26(constB189)))),
% 49.97/33.08 inference(rewrite,[status(thm)],[])).
% 49.97/33.08 tff(27235,plain,
% 49.97/33.08 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB189) | (~v26(constB189)))),
% 49.97/33.08 inference(quant_inst,[status(thm)],[])).
% 49.97/33.08 tff(27236,plain,
% 49.97/33.08 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB189) | (~v26(constB189))),
% 49.97/33.08 inference(modus_ponens,[status(thm)],[27235, 27234])).
% 49.97/33.08 tff(27237,plain,
% 49.97/33.08 (~v26(constB189)),
% 49.97/33.08 inference(unit_resolution,[status(thm)],[27236, 961, 27232])).
% 49.97/33.08 tff(27238,plain,
% 49.97/33.08 (~v113(constB189)),
% 49.97/33.08 inference(unit_resolution,[status(thm)],[26865, 224, 27237, 27233])).
% 49.97/33.08 tff(27239,plain,
% 49.97/33.08 (~v114(constB189)),
% 49.97/33.08 inference(unit_resolution,[status(thm)],[26767, 210, 27238])).
% 49.97/33.08 tff(27240,plain,
% 49.97/33.08 (~v115(constB189)),
% 49.97/33.08 inference(unit_resolution,[status(thm)],[26763, 199, 27239])).
% 49.97/33.08 tff(27241,plain,
% 49.97/33.08 (~v116(constB189)),
% 49.97/33.08 inference(unit_resolution,[status(thm)],[26759, 188, 27240])).
% 49.97/33.08 tff(27242,plain,
% 49.97/33.08 (~v117(constB189)),
% 49.97/33.08 inference(unit_resolution,[status(thm)],[26755, 177, 27241])).
% 49.97/33.08 tff(27243,plain,
% 49.97/33.08 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB189) | (~v118(constB189)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB189) | (~v118(constB189)))),
% 49.97/33.08 inference(rewrite,[status(thm)],[])).
% 49.97/33.08 tff(27244,plain,
% 49.97/33.08 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB189) | (~v118(constB189)))),
% 49.97/33.08 inference(quant_inst,[status(thm)],[])).
% 49.97/33.08 tff(27245,plain,
% 49.97/33.08 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB189) | (~v118(constB189))),
% 49.97/33.08 inference(modus_ponens,[status(thm)],[27244, 27243])).
% 49.97/33.08 tff(27246,plain,
% 49.97/33.08 (~v118(constB189)),
% 49.97/33.08 inference(unit_resolution,[status(thm)],[27245, 166, 27242])).
% 49.97/33.08 tff(27247,plain,
% 49.97/33.08 (v26(constB189) | (~v130(constB189, bitIndex0))),
% 49.97/33.08 inference(unit_resolution,[status(thm)],[26969, 926, 27216])).
% 49.97/33.08 tff(27248,plain,
% 49.97/33.08 (~v130(constB189, bitIndex0)),
% 49.97/33.08 inference(unit_resolution,[status(thm)],[27247, 27237])).
% 49.97/33.08 tff(27249,plain,
% 49.97/33.08 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB189)) | v130(constB189, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB189)) | v130(constB189, bitIndex0))),
% 49.97/33.08 inference(rewrite,[status(thm)],[])).
% 49.97/33.08 tff(27250,plain,
% 49.97/33.08 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB189)) | v130(constB189, bitIndex0))),
% 49.97/33.08 inference(quant_inst,[status(thm)],[])).
% 49.97/33.08 tff(27251,plain,
% 49.97/33.08 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB189)) | v130(constB189, bitIndex0)),
% 49.97/33.08 inference(modus_ponens,[status(thm)],[27250, 27249])).
% 49.97/33.08 tff(27252,plain,
% 49.97/33.08 (~v124(constB189)),
% 49.97/33.08 inference(unit_resolution,[status(thm)],[27251, 3020, 27248])).
% 49.97/33.08 tff(27253,plain,
% 49.97/33.08 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB189) | (~v122(constB189)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB189) | (~v122(constB189)))),
% 49.97/33.08 inference(rewrite,[status(thm)],[])).
% 49.97/33.08 tff(27254,plain,
% 49.97/33.08 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB189) | (~v122(constB189)))),
% 49.97/33.08 inference(quant_inst,[status(thm)],[])).
% 49.97/33.08 tff(27255,plain,
% 49.97/33.08 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB189) | (~v122(constB189))),
% 49.97/33.08 inference(modus_ponens,[status(thm)],[27254, 27253])).
% 49.97/33.08 tff(27256,plain,
% 49.97/33.08 (~v122(constB189)),
% 49.97/33.08 inference(unit_resolution,[status(thm)],[27255, 1800, 27241])).
% 49.97/33.08 tff(27257,plain,
% 49.97/33.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB189, bitIndex0) | (~nextState(constB189, constB190)) | v100(constB190) | (~v90(constB190, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB189, bitIndex0) | (~nextState(constB189, constB190)) | v100(constB190) | (~v90(constB190, bitIndex0)))),
% 49.97/33.08 inference(rewrite,[status(thm)],[])).
% 49.97/33.08 tff(27258,plain,
% 49.97/33.08 (((~nextState(constB189, constB190)) | v90(constB189, bitIndex0) | v100(constB190) | (~v90(constB190, bitIndex0))) <=> (v90(constB189, bitIndex0) | (~nextState(constB189, constB190)) | v100(constB190) | (~v90(constB190, bitIndex0)))),
% 49.97/33.08 inference(rewrite,[status(thm)],[])).
% 49.97/33.08 tff(27259,plain,
% 49.97/33.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB189, constB190)) | v90(constB189, bitIndex0) | v100(constB190) | (~v90(constB190, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB189, bitIndex0) | (~nextState(constB189, constB190)) | v100(constB190) | (~v90(constB190, bitIndex0))))),
% 49.97/33.08 inference(monotonicity,[status(thm)],[27258])).
% 49.97/33.08 tff(27260,plain,
% 49.97/33.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB189, constB190)) | v90(constB189, bitIndex0) | v100(constB190) | (~v90(constB190, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB189, bitIndex0) | (~nextState(constB189, constB190)) | v100(constB190) | (~v90(constB190, bitIndex0)))),
% 49.97/33.08 inference(transitivity,[status(thm)],[27259, 27257])).
% 49.97/33.08 tff(27261,plain,
% 49.97/33.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB189, constB190)) | v90(constB189, bitIndex0) | v100(constB190) | (~v90(constB190, bitIndex0)))),
% 49.97/33.08 inference(quant_inst,[status(thm)],[])).
% 49.97/33.08 tff(27262,plain,
% 49.97/33.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB189, bitIndex0) | (~nextState(constB189, constB190)) | v100(constB190) | (~v90(constB190, bitIndex0))),
% 49.97/33.08 inference(modus_ponens,[status(thm)],[27261, 27260])).
% 49.97/33.08 tff(27263,plain,
% 49.97/33.08 (v90(constB189, bitIndex0) | v100(constB190) | (~v90(constB190, bitIndex0))),
% 49.97/33.08 inference(unit_resolution,[status(thm)],[27262, 123, 26795])).
% 49.97/33.08 tff(27264,plain,
% 49.97/33.08 (v90(constB189, bitIndex0)),
% 49.97/33.08 inference(unit_resolution,[status(thm)],[27263, 27230, 27222])).
% 49.97/33.08 tff(27265,plain,
% 49.97/33.08 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v90(constB189, bitIndex0)) | (~v119(constB189)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v90(constB189, bitIndex0)) | (~v119(constB189)))),
% 49.97/33.08 inference(rewrite,[status(thm)],[])).
% 49.97/33.08 tff(27266,plain,
% 49.97/33.08 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v90(constB189, bitIndex0)) | (~v119(constB189)))),
% 49.97/33.08 inference(quant_inst,[status(thm)],[])).
% 49.97/33.08 tff(27267,plain,
% 49.97/33.08 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v90(constB189, bitIndex0)) | (~v119(constB189))),
% 49.97/33.08 inference(modus_ponens,[status(thm)],[27266, 27265])).
% 49.97/33.08 tff(27268,plain,
% 49.97/33.08 (~v119(constB189)),
% 49.97/33.08 inference(unit_resolution,[status(thm)],[27267, 3414, 27264])).
% 49.97/33.08 tff(27269,plain,
% 49.97/33.08 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | ((~v90(constB189, bitIndex0)) | (~v121(constB189)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | (~v90(constB189, bitIndex0)) | (~v121(constB189)))),
% 49.97/33.08 inference(rewrite,[status(thm)],[])).
% 49.97/33.08 tff(27270,plain,
% 49.97/33.08 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | ((~v90(constB189, bitIndex0)) | (~v121(constB189)))),
% 49.97/33.08 inference(quant_inst,[status(thm)],[])).
% 49.97/33.08 tff(27271,plain,
% 49.97/33.08 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | (~v90(constB189, bitIndex0)) | (~v121(constB189))),
% 49.97/33.08 inference(modus_ponens,[status(thm)],[27270, 27269])).
% 49.97/33.08 tff(27272,plain,
% 49.97/33.08 (~v121(constB189)),
% 49.97/33.08 inference(unit_resolution,[status(thm)],[27271, 3031, 27264])).
% 49.97/33.08 tff(27273,plain,
% 49.97/33.08 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | ((~v90(constB189, bitIndex0)) | (~v123(constB189)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | (~v90(constB189, bitIndex0)) | (~v123(constB189)))),
% 49.97/33.08 inference(rewrite,[status(thm)],[])).
% 49.97/33.08 tff(27274,plain,
% 49.97/33.08 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | ((~v90(constB189, bitIndex0)) | (~v123(constB189)))),
% 49.97/33.08 inference(quant_inst,[status(thm)],[])).
% 49.97/33.08 tff(27275,plain,
% 49.97/33.08 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | (~v90(constB189, bitIndex0)) | (~v123(constB189))),
% 49.97/33.08 inference(modus_ponens,[status(thm)],[27274, 27273])).
% 49.97/33.08 tff(27276,plain,
% 49.97/33.08 (~v123(constB189)),
% 49.97/33.08 inference(unit_resolution,[status(thm)],[27275, 3454, 27264])).
% 49.97/33.08 tff(27277,plain,
% 49.97/33.08 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB189, bitIndex0) | v124(constB189) | v123(constB189) | v120(constB189) | v119(constB189) | v122(constB189) | v121(constB189))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB189, bitIndex0) | v124(constB189) | v123(constB189) | v120(constB189) | v119(constB189) | v122(constB189) | v121(constB189))),
% 49.97/33.08 inference(rewrite,[status(thm)],[])).
% 49.97/33.08 tff(27278,plain,
% 49.97/33.08 ((v120(constB189) | v119(constB189) | v121(constB189) | v122(constB189) | v123(constB189) | v124(constB189) | v130(constB189, bitIndex0)) <=> (v130(constB189, bitIndex0) | v124(constB189) | v123(constB189) | v120(constB189) | v119(constB189) | v122(constB189) | v121(constB189))),
% 49.97/33.08 inference(rewrite,[status(thm)],[])).
% 49.97/33.08 tff(27279,plain,
% 49.97/33.08 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB189) | v119(constB189) | v121(constB189) | v122(constB189) | v123(constB189) | v124(constB189) | v130(constB189, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB189, bitIndex0) | v124(constB189) | v123(constB189) | v120(constB189) | v119(constB189) | v122(constB189) | v121(constB189)))),
% 49.97/33.08 inference(monotonicity,[status(thm)],[27278])).
% 49.97/33.08 tff(27280,plain,
% 49.97/33.08 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB189) | v119(constB189) | v121(constB189) | v122(constB189) | v123(constB189) | v124(constB189) | v130(constB189, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB189, bitIndex0) | v124(constB189) | v123(constB189) | v120(constB189) | v119(constB189) | v122(constB189) | v121(constB189))),
% 49.97/33.08 inference(transitivity,[status(thm)],[27279, 27277])).
% 49.97/33.08 tff(27281,plain,
% 49.97/33.08 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB189) | v119(constB189) | v121(constB189) | v122(constB189) | v123(constB189) | v124(constB189) | v130(constB189, bitIndex0))),
% 49.97/33.08 inference(quant_inst,[status(thm)],[])).
% 49.97/33.08 tff(27282,plain,
% 49.97/33.08 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB189, bitIndex0) | v124(constB189) | v123(constB189) | v120(constB189) | v119(constB189) | v122(constB189) | v121(constB189)),
% 49.97/33.08 inference(modus_ponens,[status(thm)],[27281, 27280])).
% 49.97/33.08 tff(27283,plain,
% 49.97/33.08 (v124(constB189) | v120(constB189) | v122(constB189)),
% 49.97/33.08 inference(unit_resolution,[status(thm)],[27282, 908, 27248, 27276, 27272, 27268])).
% 49.97/33.08 tff(27284,plain,
% 49.97/33.08 (v120(constB189)),
% 49.97/33.08 inference(unit_resolution,[status(thm)],[27283, 27256, 27252])).
% 49.97/33.08 tff(27285,plain,
% 49.97/33.08 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB189) | (~v120(constB189)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB189) | (~v120(constB189)))),
% 49.97/33.08 inference(rewrite,[status(thm)],[])).
% 49.97/33.08 tff(27286,plain,
% 49.97/33.08 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB189) | (~v120(constB189)))),
% 49.97/33.08 inference(quant_inst,[status(thm)],[])).
% 49.97/33.08 tff(27287,plain,
% 49.97/33.08 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB189) | (~v120(constB189))),
% 49.97/33.08 inference(modus_ponens,[status(thm)],[27286, 27285])).
% 49.97/33.08 tff(27288,plain,
% 49.97/33.08 ($false),
% 49.97/33.08 inference(unit_resolution,[status(thm)],[27287, 1302, 27284, 27246])).
% 49.97/33.08 tff(27289,plain,(v127(constB189, bitIndex0) | (~v90(constB190, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 49.97/33.08 tff(27290,plain,
% 49.97/33.08 (v127(constB189, bitIndex0)),
% 49.97/33.08 inference(unit_resolution,[status(thm)],[27289, 27215])).
% 49.97/33.08 tff(27291,assumption,(v127(constB189, bitIndex0)), introduced(assumption)).
% 49.97/33.08 tff(27292,assumption,(~v130(constB189, bitIndex0)), introduced(assumption)).
% 49.97/33.08 tff(27293,plain,
% 49.97/33.08 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB189, bitIndex0)) | v26(constB189) | v130(constB189, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB189, bitIndex0)) | v26(constB189) | v130(constB189, bitIndex0))),
% 49.97/33.08 inference(rewrite,[status(thm)],[])).
% 49.97/33.08 tff(27294,plain,
% 49.97/33.08 ((v26(constB189) | v130(constB189, bitIndex0) | (~v127(constB189, bitIndex0))) <=> ((~v127(constB189, bitIndex0)) | v26(constB189) | v130(constB189, bitIndex0))),
% 49.97/33.08 inference(rewrite,[status(thm)],[])).
% 49.97/33.08 tff(27295,plain,
% 49.97/33.08 (((~![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)))) | ((~v127(constB189, bitIndex0)) | v26(constB189) | v130(constB189, bitIndex0)))),
% 49.97/33.08 inference(monotonicity,[status(thm)],[27294])).
% 49.97/33.08 tff(27296,plain,
% 49.97/33.08 (((~![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)))) | (~v127(constB189, bitIndex0)) | v26(constB189) | v130(constB189, bitIndex0))),
% 49.97/33.08 inference(transitivity,[status(thm)],[27295, 27293])).
% 49.97/33.08 tff(27297,plain,
% 49.97/33.08 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB189) | v130(constB189, bitIndex0) | (~v127(constB189, bitIndex0)))),
% 49.97/33.08 inference(quant_inst,[status(thm)],[])).
% 49.97/33.08 tff(27298,plain,
% 49.97/33.08 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB189, bitIndex0)) | v26(constB189) | v130(constB189, bitIndex0)),
% 49.97/33.08 inference(modus_ponens,[status(thm)],[27297, 27296])).
% 49.97/33.08 tff(27299,plain,
% 49.97/33.08 ((~v127(constB189, bitIndex0)) | v26(constB189)),
% 49.97/33.08 inference(unit_resolution,[status(thm)],[27298, 524, 27292])).
% 49.97/33.08 tff(27300,plain,
% 49.97/33.08 (v26(constB189)),
% 49.97/33.08 inference(unit_resolution,[status(thm)],[27299, 27291])).
% 49.97/33.08 tff(27301,plain,
% 49.97/33.08 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB189)) | (~v127(constB189, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB189)) | (~v127(constB189, bitIndex0)))),
% 49.97/33.08 inference(rewrite,[status(thm)],[])).
% 49.97/33.08 tff(27302,plain,
% 49.97/33.08 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | ((~v26(constB189)) | (~v127(constB189, bitIndex0)))),
% 49.97/33.08 inference(quant_inst,[status(thm)],[])).
% 49.97/33.08 tff(27303,plain,
% 49.97/33.08 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex0)))) | (~v26(constB189)) | (~v127(constB189, bitIndex0))),
% 49.97/33.08 inference(modus_ponens,[status(thm)],[27302, 27301])).
% 49.97/33.08 tff(27304,plain,
% 49.97/33.08 ($false),
% 49.97/33.08 inference(unit_resolution,[status(thm)],[27303, 1514, 27291, 27300])).
% 49.97/33.08 tff(27305,plain,((~v127(constB189, bitIndex0)) | v130(constB189, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 49.97/33.08 tff(27306,plain,
% 49.97/33.08 (v130(constB189, bitIndex0)),
% 49.97/33.08 inference(unit_resolution,[status(thm)],[27305, 27290])).
% 49.97/33.08 tff(27307,plain,
% 49.97/33.08 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB189)) | (~v130(constB189, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB189)) | (~v130(constB189, bitIndex0)))),
% 49.97/33.08 inference(rewrite,[status(thm)],[])).
% 49.97/33.08 tff(27308,plain,
% 49.97/33.08 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB189)) | (~v130(constB189, bitIndex0)))),
% 49.97/33.08 inference(quant_inst,[status(thm)],[])).
% 49.97/33.08 tff(27309,plain,
% 49.97/33.08 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB189)) | (~v130(constB189, bitIndex0))),
% 49.97/33.08 inference(modus_ponens,[status(thm)],[27308, 27307])).
% 49.97/33.08 tff(27310,plain,
% 49.97/33.08 (~v123(constB189)),
% 49.97/33.08 inference(unit_resolution,[status(thm)],[27309, 975, 27306])).
% 49.97/33.08 tff(27311,plain,
% 49.97/33.08 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB189)) | (~v130(constB189, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB189)) | (~v130(constB189, bitIndex0)))),
% 49.97/33.08 inference(rewrite,[status(thm)],[])).
% 49.97/33.08 tff(27312,plain,
% 49.97/33.08 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB189)) | (~v130(constB189, bitIndex0)))),
% 49.97/33.08 inference(quant_inst,[status(thm)],[])).
% 49.97/33.08 tff(27313,plain,
% 49.97/33.08 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB189)) | (~v130(constB189, bitIndex0))),
% 49.97/33.08 inference(modus_ponens,[status(thm)],[27312, 27311])).
% 49.97/33.08 tff(27314,plain,
% 49.97/33.08 (~v119(constB189)),
% 49.97/33.08 inference(unit_resolution,[status(thm)],[27313, 510, 27306])).
% 49.97/33.08 tff(27315,plain,
% 49.97/33.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB191, bitIndex1)) | (~nextState(constB191, constB192)) | v100(constB192) | v90(constB192, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB191, bitIndex1)) | (~nextState(constB191, constB192)) | v100(constB192) | v90(constB192, bitIndex1))),
% 49.97/33.08 inference(rewrite,[status(thm)],[])).
% 49.97/33.08 tff(27316,plain,
% 49.97/33.08 (((~nextState(constB191, constB192)) | (~v90(constB191, bitIndex1)) | v100(constB192) | v90(constB192, bitIndex1)) <=> ((~v90(constB191, bitIndex1)) | (~nextState(constB191, constB192)) | v100(constB192) | v90(constB192, bitIndex1))),
% 49.97/33.08 inference(rewrite,[status(thm)],[])).
% 49.97/33.08 tff(27317,plain,
% 49.97/33.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB191, constB192)) | (~v90(constB191, bitIndex1)) | v100(constB192) | v90(constB192, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB191, bitIndex1)) | (~nextState(constB191, constB192)) | v100(constB192) | v90(constB192, bitIndex1)))),
% 49.97/33.08 inference(monotonicity,[status(thm)],[27316])).
% 49.97/33.08 tff(27318,plain,
% 49.97/33.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB191, constB192)) | (~v90(constB191, bitIndex1)) | v100(constB192) | v90(constB192, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB191, bitIndex1)) | (~nextState(constB191, constB192)) | v100(constB192) | v90(constB192, bitIndex1))),
% 49.97/33.08 inference(transitivity,[status(thm)],[27317, 27315])).
% 49.97/33.08 tff(27319,plain,
% 49.97/33.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB191, constB192)) | (~v90(constB191, bitIndex1)) | v100(constB192) | v90(constB192, bitIndex1))),
% 49.97/33.08 inference(quant_inst,[status(thm)],[])).
% 49.97/33.08 tff(27320,plain,
% 49.97/33.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB191, bitIndex1)) | (~nextState(constB191, constB192)) | v100(constB192) | v90(constB192, bitIndex1)),
% 49.97/33.08 inference(modus_ponens,[status(thm)],[27319, 27318])).
% 49.97/33.08 tff(27321,plain,
% 49.97/33.08 ((~v90(constB191, bitIndex1)) | v100(constB192) | v90(constB192, bitIndex1)),
% 49.97/33.08 inference(unit_resolution,[status(thm)],[27320, 747, 27051])).
% 49.97/33.08 tff(27322,plain,
% 49.97/33.08 (v90(constB192, bitIndex1)),
% 49.97/33.08 inference(unit_resolution,[status(thm)],[27321, 27197, 27057])).
% 49.97/33.08 tff(27323,plain,
% 49.97/33.08 ((~v1(constB193)) <=> (~v1(constB193))),
% 49.97/33.08 inference(rewrite,[status(thm)],[])).
% 49.97/33.08 tff(27324,axiom,(~v1(constB193)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_193_1_1')).
% 49.97/33.08 tff(27325,plain,
% 49.97/33.08 (~v1(constB193)),
% 49.97/33.08 inference(modus_ponens,[status(thm)],[27324, 27323])).
% 49.97/33.08 tff(27326,plain,
% 49.97/33.08 (nextState(constB192, constB193) <=> nextState(constB192, constB193)),
% 49.97/33.08 inference(rewrite,[status(thm)],[])).
% 49.97/33.08 tff(27327,axiom,(nextState(constB192, constB193)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_192_1')).
% 49.97/33.08 tff(27328,plain,
% 49.97/33.08 (nextState(constB192, constB193)),
% 49.97/33.09 inference(modus_ponens,[status(thm)],[27327, 27326])).
% 49.97/33.09 tff(27329,plain,
% 49.97/33.09 (((~![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)))),
% 49.97/33.09 inference(rewrite,[status(thm)],[])).
% 49.97/33.09 tff(27330,plain,
% 49.97/33.09 (((~nextState(constB192, constB193)) | (~v101(constB193)) | v1(constB193)) <=> (v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193)))),
% 49.97/33.09 inference(rewrite,[status(thm)],[])).
% 49.97/33.09 tff(27331,plain,
% 49.97/33.09 (((~![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))))),
% 49.97/33.09 inference(monotonicity,[status(thm)],[27330])).
% 49.97/33.09 tff(27332,plain,
% 49.97/33.09 (((~![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)))),
% 49.97/33.09 inference(transitivity,[status(thm)],[27331, 27329])).
% 49.97/33.09 tff(27333,plain,
% 49.97/33.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB192, constB193)) | (~v101(constB193)) | v1(constB193))),
% 49.97/33.09 inference(quant_inst,[status(thm)],[])).
% 49.97/33.09 tff(27334,plain,
% 49.97/33.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB193) | (~nextState(constB192, constB193)) | (~v101(constB193))),
% 49.97/33.09 inference(modus_ponens,[status(thm)],[27333, 27332])).
% 49.97/33.09 tff(27335,plain,
% 49.97/33.09 (~v101(constB193)),
% 49.97/33.09 inference(unit_resolution,[status(thm)],[27334, 49, 27328, 27325])).
% 49.97/33.09 tff(27336,plain,
% 49.97/33.09 (((~![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)))),
% 49.97/33.09 inference(rewrite,[status(thm)],[])).
% 49.97/33.09 tff(27337,plain,
% 49.97/33.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB192, constB193)) | v101(constB193) | (~v100(constB193)))),
% 49.97/33.09 inference(quant_inst,[status(thm)],[])).
% 49.97/33.09 tff(27338,plain,
% 49.97/33.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB192, constB193)) | v101(constB193) | (~v100(constB193))),
% 49.97/33.09 inference(modus_ponens,[status(thm)],[27337, 27336])).
% 49.97/33.09 tff(27339,plain,
% 49.97/33.09 (v101(constB193) | (~v100(constB193))),
% 49.97/33.09 inference(unit_resolution,[status(thm)],[27338, 66, 27328])).
% 49.97/33.09 tff(27340,plain,
% 49.97/33.09 (~v100(constB193)),
% 49.97/33.09 inference(unit_resolution,[status(thm)],[27339, 27335])).
% 49.97/33.09 tff(27341,plain,
% 49.97/33.09 (((~![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))),
% 49.97/33.09 inference(rewrite,[status(thm)],[])).
% 49.97/33.09 tff(27342,plain,
% 49.97/33.09 (((~nextState(constB192, constB193)) | (~v90(constB192, bitIndex1)) | v100(constB193) | v90(constB193, bitIndex1)) <=> ((~v90(constB192, bitIndex1)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex1))),
% 49.97/33.09 inference(rewrite,[status(thm)],[])).
% 49.97/33.09 tff(27343,plain,
% 49.97/33.09 (((~![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)))),
% 49.97/33.09 inference(monotonicity,[status(thm)],[27342])).
% 49.97/33.09 tff(27344,plain,
% 49.97/33.09 (((~![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))),
% 49.97/33.09 inference(transitivity,[status(thm)],[27343, 27341])).
% 49.97/33.09 tff(27345,plain,
% 49.97/33.09 ((~![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))),
% 49.97/33.09 inference(quant_inst,[status(thm)],[])).
% 49.97/33.09 tff(27346,plain,
% 49.97/33.09 ((~![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)),
% 49.97/33.09 inference(modus_ponens,[status(thm)],[27345, 27344])).
% 49.97/33.09 tff(27347,plain,
% 49.97/33.09 ((~v90(constB192, bitIndex1)) | v100(constB193) | v90(constB193, bitIndex1)),
% 49.97/33.09 inference(unit_resolution,[status(thm)],[27346, 747, 27328])).
% 49.97/33.09 tff(27348,plain,
% 49.97/33.09 ((~v90(constB192, bitIndex1)) | v90(constB193, bitIndex1)),
% 49.97/33.09 inference(unit_resolution,[status(thm)],[27347, 27340])).
% 49.97/33.09 tff(27349,plain,
% 49.97/33.09 (v90(constB193, bitIndex1)),
% 49.97/33.09 inference(unit_resolution,[status(thm)],[27348, 27322])).
% 49.97/33.09 tff(27350,plain,
% 49.97/33.09 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB193, bitIndex1)) | (~v120(constB193)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB193, bitIndex1)) | (~v120(constB193)))),
% 49.97/33.09 inference(rewrite,[status(thm)],[])).
% 49.97/33.09 tff(27351,plain,
% 49.97/33.09 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB193, bitIndex1)) | (~v120(constB193)))),
% 49.97/33.09 inference(quant_inst,[status(thm)],[])).
% 49.97/33.09 tff(27352,plain,
% 49.97/33.09 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB193, bitIndex1)) | (~v120(constB193))),
% 49.97/33.09 inference(modus_ponens,[status(thm)],[27351, 27350])).
% 49.97/33.09 tff(27353,plain,
% 49.97/33.09 (~v120(constB193)),
% 49.97/33.09 inference(unit_resolution,[status(thm)],[27352, 2312, 27349])).
% 49.97/33.09 tff(27354,plain,
% 49.97/33.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB191, bitIndex0)) | (~nextState(constB191, constB192)) | v100(constB192) | v90(constB192, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB191, bitIndex0)) | (~nextState(constB191, constB192)) | v100(constB192) | v90(constB192, bitIndex0))),
% 49.97/33.09 inference(rewrite,[status(thm)],[])).
% 49.97/33.09 tff(27355,plain,
% 49.97/33.09 (((~nextState(constB191, constB192)) | (~v90(constB191, bitIndex0)) | v100(constB192) | v90(constB192, bitIndex0)) <=> ((~v90(constB191, bitIndex0)) | (~nextState(constB191, constB192)) | v100(constB192) | v90(constB192, bitIndex0))),
% 49.97/33.09 inference(rewrite,[status(thm)],[])).
% 49.97/33.09 tff(27356,plain,
% 49.97/33.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB191, constB192)) | (~v90(constB191, bitIndex0)) | v100(constB192) | v90(constB192, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB191, bitIndex0)) | (~nextState(constB191, constB192)) | v100(constB192) | v90(constB192, bitIndex0)))),
% 49.97/33.09 inference(monotonicity,[status(thm)],[27355])).
% 49.97/33.09 tff(27357,plain,
% 49.97/33.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB191, constB192)) | (~v90(constB191, bitIndex0)) | v100(constB192) | v90(constB192, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB191, bitIndex0)) | (~nextState(constB191, constB192)) | v100(constB192) | v90(constB192, bitIndex0))),
% 49.97/33.09 inference(transitivity,[status(thm)],[27356, 27354])).
% 49.97/33.09 tff(27358,plain,
% 49.97/33.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB191, constB192)) | (~v90(constB191, bitIndex0)) | v100(constB192) | v90(constB192, bitIndex0))),
% 49.97/33.09 inference(quant_inst,[status(thm)],[])).
% 49.97/33.09 tff(27359,plain,
% 49.97/33.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB191, bitIndex0)) | (~nextState(constB191, constB192)) | v100(constB192) | v90(constB192, bitIndex0)),
% 49.97/33.09 inference(modus_ponens,[status(thm)],[27358, 27357])).
% 49.97/33.09 tff(27360,plain,
% 49.97/33.09 ((~v90(constB191, bitIndex0)) | v100(constB192) | v90(constB192, bitIndex0)),
% 49.97/33.09 inference(unit_resolution,[status(thm)],[27359, 1124, 27051])).
% 49.97/33.09 tff(27361,plain,
% 49.97/33.09 (v90(constB192, bitIndex0)),
% 49.97/33.09 inference(unit_resolution,[status(thm)],[27360, 27174, 27057])).
% 49.97/33.09 tff(27362,plain,
% 49.97/33.09 (((~![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))),
% 49.97/33.09 inference(rewrite,[status(thm)],[])).
% 49.97/33.09 tff(27363,plain,
% 49.97/33.09 (((~nextState(constB192, constB193)) | (~v90(constB192, bitIndex0)) | v100(constB193) | v90(constB193, bitIndex0)) <=> ((~v90(constB192, bitIndex0)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex0))),
% 49.97/33.09 inference(rewrite,[status(thm)],[])).
% 49.97/33.09 tff(27364,plain,
% 49.97/33.09 (((~![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)))),
% 49.97/33.09 inference(monotonicity,[status(thm)],[27363])).
% 49.97/33.09 tff(27365,plain,
% 49.97/33.09 (((~![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))),
% 49.97/33.09 inference(transitivity,[status(thm)],[27364, 27362])).
% 49.97/33.09 tff(27366,plain,
% 49.97/33.09 ((~![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))),
% 49.97/33.09 inference(quant_inst,[status(thm)],[])).
% 49.97/33.09 tff(27367,plain,
% 49.97/33.09 ((~![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)),
% 49.97/33.09 inference(modus_ponens,[status(thm)],[27366, 27365])).
% 49.97/33.09 tff(27368,plain,
% 49.97/33.09 ((~v90(constB192, bitIndex0)) | v100(constB193) | v90(constB193, bitIndex0)),
% 49.97/33.09 inference(unit_resolution,[status(thm)],[27367, 1124, 27328])).
% 49.97/33.09 tff(27369,plain,
% 49.97/33.09 ((~v90(constB192, bitIndex0)) | v90(constB193, bitIndex0)),
% 49.97/33.09 inference(unit_resolution,[status(thm)],[27368, 27340])).
% 49.97/33.09 tff(27370,plain,
% 49.97/33.09 (v90(constB193, bitIndex0)),
% 49.97/33.09 inference(unit_resolution,[status(thm)],[27369, 27361])).
% 49.97/33.09 tff(27371,plain,
% 49.97/33.09 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v90(constB193, bitIndex0)) | (~v119(constB193)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v90(constB193, bitIndex0)) | (~v119(constB193)))),
% 49.97/33.09 inference(rewrite,[status(thm)],[])).
% 49.97/33.09 tff(27372,plain,
% 49.97/33.09 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v90(constB193, bitIndex0)) | (~v119(constB193)))),
% 49.97/33.09 inference(quant_inst,[status(thm)],[])).
% 49.97/33.09 tff(27373,plain,
% 49.97/33.09 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v90(constB193, bitIndex0)) | (~v119(constB193))),
% 49.97/33.09 inference(modus_ponens,[status(thm)],[27372, 27371])).
% 49.97/33.09 tff(27374,plain,
% 49.97/33.09 (~v119(constB193)),
% 49.97/33.09 inference(unit_resolution,[status(thm)],[27373, 3414, 27370])).
% 49.97/33.09 tff(27375,plain,
% 49.97/33.09 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))) | (v120(constB193) | v119(constB193) | (~v118(constB193)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))) | v120(constB193) | v119(constB193) | (~v118(constB193)))),
% 49.97/33.09 inference(rewrite,[status(thm)],[])).
% 49.97/33.09 tff(27376,plain,
% 49.97/33.09 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))) | (v120(constB193) | v119(constB193) | (~v118(constB193)))),
% 49.97/33.09 inference(quant_inst,[status(thm)],[])).
% 49.97/33.09 tff(27377,plain,
% 49.97/33.09 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | (~v118(VarCurr)))) | v120(constB193) | v119(constB193) | (~v118(constB193))),
% 49.97/33.09 inference(modus_ponens,[status(thm)],[27376, 27375])).
% 49.97/33.09 tff(27378,plain,
% 49.97/33.09 (v120(constB193) | (~v118(constB193))),
% 49.97/33.09 inference(unit_resolution,[status(thm)],[27377, 3085, 27374])).
% 49.97/33.09 tff(27379,plain,
% 49.97/33.09 (~v118(constB193)),
% 49.97/33.09 inference(unit_resolution,[status(thm)],[27378, 27353])).
% 49.97/33.09 tff(27380,plain,
% 49.97/33.09 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | ((~v90(constB193, bitIndex0)) | (~v121(constB193)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | (~v90(constB193, bitIndex0)) | (~v121(constB193)))),
% 49.97/33.09 inference(rewrite,[status(thm)],[])).
% 49.97/33.09 tff(27381,plain,
% 49.97/33.09 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | ((~v90(constB193, bitIndex0)) | (~v121(constB193)))),
% 49.97/33.09 inference(quant_inst,[status(thm)],[])).
% 49.97/33.09 tff(27382,plain,
% 49.97/33.09 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | (~v90(constB193, bitIndex0)) | (~v121(constB193))),
% 49.97/33.09 inference(modus_ponens,[status(thm)],[27381, 27380])).
% 49.97/33.09 tff(27383,plain,
% 49.97/33.09 (~v121(constB193)),
% 49.97/33.09 inference(unit_resolution,[status(thm)],[27382, 3031, 27370])).
% 49.97/33.09 tff(27384,plain,
% 49.97/33.09 (((~![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | (v118(constB193) | v121(constB193) | (~v117(constB193)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | v118(constB193) | v121(constB193) | (~v117(constB193)))),
% 49.97/33.09 inference(rewrite,[status(thm)],[])).
% 49.97/33.09 tff(27385,plain,
% 49.97/33.09 ((~![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | (v118(constB193) | v121(constB193) | (~v117(constB193)))),
% 49.97/33.09 inference(quant_inst,[status(thm)],[])).
% 49.97/33.09 tff(27386,plain,
% 49.97/33.09 ((~![VarCurr: $i] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | v118(constB193) | v121(constB193) | (~v117(constB193))),
% 49.97/33.09 inference(modus_ponens,[status(thm)],[27385, 27384])).
% 49.97/33.09 tff(27387,plain,
% 49.97/33.09 (v118(constB193) | (~v117(constB193))),
% 49.97/33.09 inference(unit_resolution,[status(thm)],[27386, 3103, 27383])).
% 49.97/33.09 tff(27388,plain,
% 49.97/33.09 (~v117(constB193)),
% 49.97/33.09 inference(unit_resolution,[status(thm)],[27387, 27379])).
% 49.97/33.09 tff(27389,plain,
% 49.97/33.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB191, bitIndex2)) | (~nextState(constB191, constB192)) | v100(constB192) | v90(constB192, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB191, bitIndex2)) | (~nextState(constB191, constB192)) | v100(constB192) | v90(constB192, bitIndex2))),
% 49.97/33.09 inference(rewrite,[status(thm)],[])).
% 49.97/33.09 tff(27390,plain,
% 49.97/33.09 (((~nextState(constB191, constB192)) | (~v90(constB191, bitIndex2)) | v100(constB192) | v90(constB192, bitIndex2)) <=> ((~v90(constB191, bitIndex2)) | (~nextState(constB191, constB192)) | v100(constB192) | v90(constB192, bitIndex2))),
% 49.97/33.09 inference(rewrite,[status(thm)],[])).
% 49.97/33.09 tff(27391,plain,
% 49.97/33.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB191, constB192)) | (~v90(constB191, bitIndex2)) | v100(constB192) | v90(constB192, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB191, bitIndex2)) | (~nextState(constB191, constB192)) | v100(constB192) | v90(constB192, bitIndex2)))),
% 49.97/33.09 inference(monotonicity,[status(thm)],[27390])).
% 49.97/33.09 tff(27392,plain,
% 49.97/33.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB191, constB192)) | (~v90(constB191, bitIndex2)) | v100(constB192) | v90(constB192, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB191, bitIndex2)) | (~nextState(constB191, constB192)) | v100(constB192) | v90(constB192, bitIndex2))),
% 49.97/33.09 inference(transitivity,[status(thm)],[27391, 27389])).
% 49.97/33.09 tff(27393,plain,
% 49.97/33.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB191, constB192)) | (~v90(constB191, bitIndex2)) | v100(constB192) | v90(constB192, bitIndex2))),
% 49.97/33.09 inference(quant_inst,[status(thm)],[])).
% 49.97/33.09 tff(27394,plain,
% 49.97/33.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB191, bitIndex2)) | (~nextState(constB191, constB192)) | v100(constB192) | v90(constB192, bitIndex2)),
% 49.97/33.09 inference(modus_ponens,[status(thm)],[27393, 27392])).
% 49.97/33.09 tff(27395,plain,
% 49.97/33.09 ((~v90(constB191, bitIndex2)) | v100(constB192) | v90(constB192, bitIndex2)),
% 49.97/33.09 inference(unit_resolution,[status(thm)],[27394, 417, 27051])).
% 49.97/33.09 tff(27396,plain,
% 49.97/33.09 (v90(constB192, bitIndex2)),
% 49.97/33.09 inference(unit_resolution,[status(thm)],[27395, 27187, 27057])).
% 49.97/33.09 tff(27397,plain,
% 49.97/33.09 (((~![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))),
% 49.97/33.09 inference(rewrite,[status(thm)],[])).
% 49.97/33.09 tff(27398,plain,
% 49.97/33.09 (((~nextState(constB192, constB193)) | (~v90(constB192, bitIndex2)) | v100(constB193) | v90(constB193, bitIndex2)) <=> ((~v90(constB192, bitIndex2)) | (~nextState(constB192, constB193)) | v100(constB193) | v90(constB193, bitIndex2))),
% 49.97/33.09 inference(rewrite,[status(thm)],[])).
% 49.97/33.09 tff(27399,plain,
% 49.97/33.09 (((~![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)))),
% 49.97/33.09 inference(monotonicity,[status(thm)],[27398])).
% 49.97/33.09 tff(27400,plain,
% 49.97/33.09 (((~![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))),
% 49.97/33.09 inference(transitivity,[status(thm)],[27399, 27397])).
% 49.97/33.09 tff(27401,plain,
% 49.97/33.09 ((~![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))),
% 49.97/33.09 inference(quant_inst,[status(thm)],[])).
% 49.97/33.09 tff(27402,plain,
% 49.97/33.09 ((~![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)),
% 49.97/33.09 inference(modus_ponens,[status(thm)],[27401, 27400])).
% 49.97/33.09 tff(27403,plain,
% 49.97/33.09 ((~v90(constB192, bitIndex2)) | v100(constB193) | v90(constB193, bitIndex2)),
% 49.97/33.09 inference(unit_resolution,[status(thm)],[27402, 417, 27328])).
% 49.97/33.09 tff(27404,plain,
% 49.97/33.09 ((~v90(constB192, bitIndex2)) | v90(constB193, bitIndex2)),
% 49.97/33.09 inference(unit_resolution,[status(thm)],[27403, 27340])).
% 49.97/33.09 tff(27405,plain,
% 49.97/33.09 (v90(constB193, bitIndex2)),
% 49.97/33.09 inference(unit_resolution,[status(thm)],[27404, 27396])).
% 49.97/33.09 tff(27406,plain,
% 49.97/33.09 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB193, bitIndex2)) | (~v122(constB193)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB193, bitIndex2)) | (~v122(constB193)))),
% 49.97/33.09 inference(rewrite,[status(thm)],[])).
% 49.97/33.09 tff(27407,plain,
% 49.97/33.09 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB193, bitIndex2)) | (~v122(constB193)))),
% 49.97/33.09 inference(quant_inst,[status(thm)],[])).
% 49.97/33.09 tff(27408,plain,
% 49.97/33.09 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB193, bitIndex2)) | (~v122(constB193))),
% 49.97/33.09 inference(modus_ponens,[status(thm)],[27407, 27406])).
% 49.97/33.09 tff(27409,plain,
% 49.97/33.09 (~v122(constB193)),
% 49.97/33.09 inference(unit_resolution,[status(thm)],[27408, 894, 27405])).
% 49.97/33.09 tff(27410,plain,
% 49.97/33.09 (((~![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | (v117(constB193) | v122(constB193) | (~v116(constB193)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | v117(constB193) | v122(constB193) | (~v116(constB193)))),
% 49.97/33.09 inference(rewrite,[status(thm)],[])).
% 49.97/33.09 tff(27411,plain,
% 49.97/33.09 ((~![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | (v117(constB193) | v122(constB193) | (~v116(constB193)))),
% 49.97/33.09 inference(quant_inst,[status(thm)],[])).
% 49.97/33.09 tff(27412,plain,
% 49.97/33.09 ((~![VarCurr: $i] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | v117(constB193) | v122(constB193) | (~v116(constB193))),
% 49.97/33.09 inference(modus_ponens,[status(thm)],[27411, 27410])).
% 49.97/33.09 tff(27413,plain,
% 49.97/33.09 (~v116(constB193)),
% 49.97/33.09 inference(unit_resolution,[status(thm)],[27412, 3121, 27409, 27388])).
% 49.97/33.09 tff(27414,plain,
% 49.97/33.09 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | ((~v90(constB193, bitIndex0)) | (~v123(constB193)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | (~v90(constB193, bitIndex0)) | (~v123(constB193)))),
% 49.97/33.09 inference(rewrite,[status(thm)],[])).
% 49.97/33.09 tff(27415,plain,
% 49.97/33.09 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | ((~v90(constB193, bitIndex0)) | (~v123(constB193)))),
% 49.97/33.09 inference(quant_inst,[status(thm)],[])).
% 49.97/33.09 tff(27416,plain,
% 49.97/33.09 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | (~v90(constB193, bitIndex0)) | (~v123(constB193))),
% 49.97/33.09 inference(modus_ponens,[status(thm)],[27415, 27414])).
% 49.97/33.09 tff(27417,plain,
% 49.97/33.09 (~v123(constB193)),
% 49.97/33.09 inference(unit_resolution,[status(thm)],[27416, 3454, 27370])).
% 49.97/33.09 tff(27418,plain,
% 49.97/33.09 (((~![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | (v116(constB193) | v123(constB193) | (~v115(constB193)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | v116(constB193) | v123(constB193) | (~v115(constB193)))),
% 49.97/33.09 inference(rewrite,[status(thm)],[])).
% 49.97/33.09 tff(27419,plain,
% 49.97/33.09 ((~![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | (v116(constB193) | v123(constB193) | (~v115(constB193)))),
% 49.97/33.09 inference(quant_inst,[status(thm)],[])).
% 49.97/33.09 tff(27420,plain,
% 49.97/33.09 ((~![VarCurr: $i] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | v116(constB193) | v123(constB193) | (~v115(constB193))),
% 49.97/33.09 inference(modus_ponens,[status(thm)],[27419, 27418])).
% 49.97/33.09 tff(27421,plain,
% 49.97/33.09 (v116(constB193) | (~v115(constB193))),
% 49.97/33.09 inference(unit_resolution,[status(thm)],[27420, 3140, 27417])).
% 49.97/33.09 tff(27422,plain,
% 49.97/33.09 (~v115(constB193)),
% 49.97/33.09 inference(unit_resolution,[status(thm)],[27421, 27413])).
% 49.97/33.09 tff(27423,plain,
% 49.97/33.09 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB193, bitIndex1)) | (~v124(constB193)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB193, bitIndex1)) | (~v124(constB193)))),
% 49.97/33.09 inference(rewrite,[status(thm)],[])).
% 49.97/33.09 tff(27424,plain,
% 49.97/33.09 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB193, bitIndex1)) | (~v124(constB193)))),
% 49.97/33.09 inference(quant_inst,[status(thm)],[])).
% 49.97/33.09 tff(27425,plain,
% 49.97/33.09 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB193, bitIndex1)) | (~v124(constB193))),
% 49.97/33.09 inference(modus_ponens,[status(thm)],[27424, 27423])).
% 49.97/33.09 tff(27426,plain,
% 49.97/33.09 (~v124(constB193)),
% 49.97/33.09 inference(unit_resolution,[status(thm)],[27425, 763, 27349])).
% 49.97/33.09 tff(27427,plain,
% 49.97/33.09 (((~![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | (v115(constB193) | v124(constB193) | (~v114(constB193)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | v115(constB193) | v124(constB193) | (~v114(constB193)))),
% 49.97/33.09 inference(rewrite,[status(thm)],[])).
% 49.97/33.09 tff(27428,plain,
% 49.97/33.09 ((~![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | (v115(constB193) | v124(constB193) | (~v114(constB193)))),
% 49.97/33.09 inference(quant_inst,[status(thm)],[])).
% 49.97/33.09 tff(27429,plain,
% 49.97/33.09 ((~![VarCurr: $i] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | v115(constB193) | v124(constB193) | (~v114(constB193))),
% 49.97/33.09 inference(modus_ponens,[status(thm)],[27428, 27427])).
% 49.97/33.09 tff(27430,plain,
% 49.97/33.09 (v115(constB193) | (~v114(constB193))),
% 49.97/33.09 inference(unit_resolution,[status(thm)],[27429, 3169, 27426])).
% 49.97/33.09 tff(27431,plain,
% 49.97/33.09 (~v114(constB193)),
% 49.97/33.09 inference(unit_resolution,[status(thm)],[27430, 27422])).
% 49.97/33.09 tff(27432,plain,
% 49.97/33.09 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr)))) | ((~v90(constB193, bitIndex0)) | (~v125(constB193)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr)))) | (~v90(constB193, bitIndex0)) | (~v125(constB193)))),
% 49.97/33.09 inference(rewrite,[status(thm)],[])).
% 49.97/33.09 tff(27433,plain,
% 49.97/33.09 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr)))) | ((~v90(constB193, bitIndex0)) | (~v125(constB193)))),
% 49.97/33.09 inference(quant_inst,[status(thm)],[])).
% 49.97/33.09 tff(27434,plain,
% 49.97/33.09 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v125(VarCurr)))) | (~v90(constB193, bitIndex0)) | (~v125(constB193))),
% 49.97/33.09 inference(modus_ponens,[status(thm)],[27433, 27432])).
% 49.97/33.09 tff(27435,plain,
% 49.97/33.09 (~v125(constB193)),
% 49.97/33.09 inference(unit_resolution,[status(thm)],[27434, 3436, 27370])).
% 49.97/33.09 tff(27436,plain,
% 49.97/33.09 (((~![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | (v114(constB193) | v125(constB193) | (~v113(constB193)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | v114(constB193) | v125(constB193) | (~v113(constB193)))),
% 49.97/33.09 inference(rewrite,[status(thm)],[])).
% 49.97/33.09 tff(27437,plain,
% 49.97/33.09 ((~![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | (v114(constB193) | v125(constB193) | (~v113(constB193)))),
% 49.97/33.09 inference(quant_inst,[status(thm)],[])).
% 49.97/33.09 tff(27438,plain,
% 49.97/33.09 ((~![VarCurr: $i] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | v114(constB193) | v125(constB193) | (~v113(constB193))),
% 49.97/33.09 inference(modus_ponens,[status(thm)],[27437, 27436])).
% 49.97/33.09 tff(27439,plain,
% 49.97/33.09 (v114(constB193) | (~v113(constB193))),
% 49.97/33.09 inference(unit_resolution,[status(thm)],[27438, 3246, 27435])).
% 49.97/33.09 tff(27440,plain,
% 49.97/33.09 (~v113(constB193)),
% 49.97/33.09 inference(unit_resolution,[status(thm)],[27439, 27431])).
% 49.97/33.09 tff(27441,plain,
% 49.97/33.09 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))) | (v113(constB193) | (~v112(constB193)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))) | v113(constB193) | (~v112(constB193)))),
% 49.97/33.09 inference(rewrite,[status(thm)],[])).
% 49.97/33.09 tff(27442,plain,
% 49.97/33.09 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))) | (v113(constB193) | (~v112(constB193)))),
% 49.97/33.09 inference(quant_inst,[status(thm)],[])).
% 49.97/33.09 tff(27443,plain,
% 49.97/33.09 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)))) | v113(constB193) | (~v112(constB193))),
% 49.97/33.09 inference(modus_ponens,[status(thm)],[27442, 27441])).
% 49.97/33.09 tff(27444,plain,
% 49.97/33.09 (~v112(constB193)),
% 49.97/33.09 inference(unit_resolution,[status(thm)],[27443, 3232, 27440])).
% 49.97/33.09 tff(27445,assumption,(v26(constB193)), introduced(assumption)).
% 49.97/33.09 tff(27446,plain,
% 49.97/33.09 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB193))),
% 49.97/33.09 inference(quant_inst,[status(thm)],[])).
% 49.97/33.09 tff(27447,plain,
% 49.97/33.09 ($false),
% 49.97/33.09 inference(unit_resolution,[status(thm)],[27446, 16, 27445])).
% 49.97/33.09 tff(27448,plain,(~v26(constB193)), inference(lemma,lemma(discharge,[]))).
% 49.97/33.09 tff(27449,plain,
% 49.97/33.09 (((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | ((~v108(constB193)) | v26(constB193) | v112(constB193))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB193)) | v26(constB193) | v112(constB193))),
% 49.97/33.09 inference(rewrite,[status(thm)],[])).
% 49.97/33.09 tff(27450,plain,
% 49.97/33.09 ((v26(constB193) | v112(constB193) | (~v108(constB193))) <=> ((~v108(constB193)) | v26(constB193) | v112(constB193))),
% 49.97/33.09 inference(rewrite,[status(thm)],[])).
% 49.97/33.09 tff(27451,plain,
% 49.97/33.09 (((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB193) | v112(constB193) | (~v108(constB193)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | ((~v108(constB193)) | v26(constB193) | v112(constB193)))),
% 49.97/33.09 inference(monotonicity,[status(thm)],[27450])).
% 49.97/33.09 tff(27452,plain,
% 49.97/33.09 (((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB193) | v112(constB193) | (~v108(constB193)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB193)) | v26(constB193) | v112(constB193))),
% 49.97/33.09 inference(transitivity,[status(thm)],[27451, 27449])).
% 49.97/33.09 tff(27453,plain,
% 49.97/33.09 ((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB193) | v112(constB193) | (~v108(constB193)))),
% 49.97/33.09 inference(quant_inst,[status(thm)],[])).
% 49.97/33.09 tff(27454,plain,
% 49.97/33.09 ((~![VarCurr: $i] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB193)) | v26(constB193) | v112(constB193)),
% 49.97/33.09 inference(modus_ponens,[status(thm)],[27453, 27452])).
% 49.97/33.09 tff(27455,plain,
% 49.97/33.09 ((~v108(constB193)) | v112(constB193)),
% 49.97/33.09 inference(unit_resolution,[status(thm)],[27454, 3217, 27448])).
% 49.97/33.09 tff(27456,plain,
% 49.97/33.09 (~v108(constB193)),
% 49.97/33.09 inference(unit_resolution,[status(thm)],[27455, 27444])).
% 49.97/33.09 tff(27457,plain,
% 49.97/33.09 (nextState(constB193, constB194) <=> nextState(constB193, constB194)),
% 49.97/33.09 inference(rewrite,[status(thm)],[])).
% 49.97/33.09 tff(27458,axiom,(nextState(constB193, constB194)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_193_1')).
% 49.97/33.09 tff(27459,plain,
% 49.97/33.09 (nextState(constB193, constB194)),
% 49.97/33.09 inference(modus_ponens,[status(thm)],[27458, 27457])).
% 49.97/33.09 tff(27460,plain,
% 49.97/33.09 (((~![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))),
% 49.97/33.09 inference(rewrite,[status(thm)],[])).
% 49.97/33.09 tff(27461,plain,
% 49.97/33.09 (((~nextState(constB193, constB194)) | v108(constB193) | (~v110(constB194))) <=> ((~nextState(constB193, constB194)) | (~v110(constB194)) | v108(constB193))),
% 49.97/33.09 inference(rewrite,[status(thm)],[])).
% 49.97/33.09 tff(27462,plain,
% 49.97/33.09 (((~![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)))),
% 49.97/33.09 inference(monotonicity,[status(thm)],[27461])).
% 49.97/33.09 tff(27463,plain,
% 49.97/33.09 (((~![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))),
% 49.97/33.09 inference(transitivity,[status(thm)],[27462, 27460])).
% 49.97/33.09 tff(27464,plain,
% 49.97/33.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB193, constB194)) | v108(constB193) | (~v110(constB194)))),
% 49.97/33.09 inference(quant_inst,[status(thm)],[])).
% 49.97/33.09 tff(27465,plain,
% 49.97/33.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB193, constB194)) | (~v110(constB194)) | v108(constB193)),
% 49.97/33.09 inference(modus_ponens,[status(thm)],[27464, 27463])).
% 49.97/33.09 tff(27466,plain,
% 49.97/33.09 ((~v110(constB194)) | v108(constB193)),
% 49.97/33.09 inference(unit_resolution,[status(thm)],[27465, 3199, 27459])).
% 49.97/33.09 tff(27467,plain,
% 49.97/33.09 (~v110(constB194)),
% 49.97/33.09 inference(unit_resolution,[status(thm)],[27466, 27456])).
% 49.97/33.09 tff(27468,plain,
% 49.97/33.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB193, constB194)) | v110(constB194) | (~v100(constB194)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB193, constB194)) | v110(constB194) | (~v100(constB194)))),
% 49.97/33.09 inference(rewrite,[status(thm)],[])).
% 49.97/33.09 tff(27469,plain,
% 49.97/33.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB193, constB194)) | v110(constB194) | (~v100(constB194)))),
% 49.97/33.09 inference(quant_inst,[status(thm)],[])).
% 49.97/33.09 tff(27470,plain,
% 49.97/33.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB193, constB194)) | v110(constB194) | (~v100(constB194))),
% 49.97/33.09 inference(modus_ponens,[status(thm)],[27469, 27468])).
% 49.97/33.09 tff(27471,plain,
% 49.97/33.09 (v110(constB194) | (~v100(constB194))),
% 49.97/33.09 inference(unit_resolution,[status(thm)],[27470, 3184, 27459])).
% 49.97/33.10 tff(27472,plain,
% 49.97/33.10 (~v100(constB194)),
% 49.97/33.10 inference(unit_resolution,[status(thm)],[27471, 27467])).
% 49.97/33.10 tff(27473,assumption,(~v90(constB189, bitIndex0)), introduced(assumption)).
% 49.97/33.10 tff(27474,plain,
% 49.97/33.10 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB189, bitIndex0) | (~v124(constB189)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB189, bitIndex0) | (~v124(constB189)))),
% 49.97/33.10 inference(rewrite,[status(thm)],[])).
% 49.97/33.10 tff(27475,plain,
% 49.97/33.10 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB189, bitIndex0) | (~v124(constB189)))),
% 49.97/33.10 inference(quant_inst,[status(thm)],[])).
% 49.97/33.10 tff(27476,plain,
% 49.97/33.10 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB189, bitIndex0) | (~v124(constB189))),
% 49.97/33.10 inference(modus_ponens,[status(thm)],[27475, 27474])).
% 49.97/33.10 tff(27477,plain,
% 49.97/33.10 (~v124(constB189)),
% 49.97/33.10 inference(unit_resolution,[status(thm)],[27476, 2932, 27473])).
% 49.97/33.10 tff(27478,assumption,(~v100(constB194)), introduced(assumption)).
% 49.97/33.10 tff(27479,plain,
% 49.97/33.10 (((~![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)))),
% 49.97/33.10 inference(rewrite,[status(thm)],[])).
% 49.97/33.10 tff(27480,plain,
% 49.97/33.10 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB193) | (~nextState(constB193, constB194)) | (~v104(constB194)))),
% 49.97/33.10 inference(quant_inst,[status(thm)],[])).
% 49.97/33.10 tff(27481,plain,
% 49.97/33.10 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB193) | (~nextState(constB193, constB194)) | (~v104(constB194))),
% 49.97/33.10 inference(modus_ponens,[status(thm)],[27480, 27479])).
% 49.97/33.10 tff(27482,plain,
% 49.97/33.10 (~v104(constB194)),
% 49.97/33.10 inference(unit_resolution,[status(thm)],[27481, 271, 27459, 27325])).
% 49.97/33.10 tff(27483,plain,
% 49.97/33.10 (((~![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))),
% 49.97/33.10 inference(rewrite,[status(thm)],[])).
% 49.97/33.10 tff(27484,plain,
% 49.97/33.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB193, constB194)) | v102(constB194) | v104(constB194))),
% 49.97/33.10 inference(quant_inst,[status(thm)],[])).
% 49.97/33.10 tff(27485,plain,
% 49.97/33.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB193, constB194)) | v102(constB194) | v104(constB194)),
% 49.97/33.10 inference(modus_ponens,[status(thm)],[27484, 27483])).
% 49.97/33.10 tff(27486,plain,
% 49.97/33.10 (v102(constB194) | v104(constB194)),
% 49.97/33.10 inference(unit_resolution,[status(thm)],[27485, 285, 27459])).
% 49.97/33.10 tff(27487,plain,
% 49.97/33.10 (v102(constB194)),
% 49.97/33.10 inference(unit_resolution,[status(thm)],[27486, 27482])).
% 49.97/33.10 tff(27488,plain,
% 49.97/33.10 (v1(constB194) <=> v1(constB194)),
% 49.97/33.10 inference(rewrite,[status(thm)],[])).
% 49.97/33.10 tff(27489,axiom,(v1(constB194)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_194_1')).
% 49.97/33.10 tff(27490,plain,
% 49.97/33.10 (v1(constB194)),
% 49.97/33.10 inference(modus_ponens,[status(thm)],[27489, 27488])).
% 49.97/33.10 tff(27491,plain,
% 49.97/33.10 (((~![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)))),
% 49.97/33.10 inference(rewrite,[status(thm)],[])).
% 49.97/33.10 tff(27492,plain,
% 49.97/33.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB193, constB194)) | v101(constB194) | (~v102(constB194)) | (~v1(constB194)))),
% 49.97/33.10 inference(quant_inst,[status(thm)],[])).
% 49.97/33.10 tff(27493,plain,
% 49.97/33.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB193, constB194)) | v101(constB194) | (~v102(constB194)) | (~v1(constB194))),
% 49.97/33.10 inference(modus_ponens,[status(thm)],[27492, 27491])).
% 49.97/33.10 tff(27494,plain,
% 49.97/33.10 (v101(constB194) | (~v102(constB194))),
% 49.97/33.10 inference(unit_resolution,[status(thm)],[27493, 303, 27459, 27490])).
% 49.97/33.10 tff(27495,plain,
% 49.97/33.10 (v101(constB194)),
% 49.97/33.10 inference(unit_resolution,[status(thm)],[27494, 27487])).
% 49.97/33.10 tff(27496,plain,
% 49.97/33.10 (((~![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)))),
% 49.97/33.10 inference(rewrite,[status(thm)],[])).
% 49.97/33.10 tff(27497,plain,
% 49.97/33.10 (((~nextState(constB193, constB194)) | (~v101(constB194)) | (~v110(constB194)) | v100(constB194)) <=> ((~nextState(constB193, constB194)) | v100(constB194) | (~v101(constB194)) | (~v110(constB194)))),
% 49.97/33.10 inference(rewrite,[status(thm)],[])).
% 49.97/33.10 tff(27498,plain,
% 49.97/33.10 (((~![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))))),
% 49.97/33.10 inference(monotonicity,[status(thm)],[27497])).
% 49.97/33.10 tff(27499,plain,
% 49.97/33.10 (((~![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)))),
% 49.97/33.10 inference(transitivity,[status(thm)],[27498, 27496])).
% 49.97/33.10 tff(27500,plain,
% 49.97/33.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB193, constB194)) | (~v101(constB194)) | (~v110(constB194)) | v100(constB194))),
% 49.97/33.10 inference(quant_inst,[status(thm)],[])).
% 49.97/33.10 tff(27501,plain,
% 49.97/33.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB193, constB194)) | v100(constB194) | (~v101(constB194)) | (~v110(constB194))),
% 49.97/33.10 inference(modus_ponens,[status(thm)],[27500, 27499])).
% 49.97/33.10 tff(27502,plain,
% 49.97/33.10 (v100(constB194) | (~v101(constB194)) | (~v110(constB194))),
% 49.97/33.10 inference(unit_resolution,[status(thm)],[27501, 318, 27459])).
% 49.97/33.10 tff(27503,plain,
% 49.97/33.10 (v100(constB194) | (~v110(constB194))),
% 49.97/33.10 inference(unit_resolution,[status(thm)],[27502, 27495])).
% 49.97/33.10 tff(27504,plain,
% 49.97/33.10 (~v110(constB194)),
% 49.97/33.10 inference(unit_resolution,[status(thm)],[27503, 27478])).
% 49.97/33.10 tff(27505,plain,
% 49.97/33.10 (((~![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)))),
% 49.97/33.10 inference(rewrite,[status(thm)],[])).
% 49.97/33.10 tff(27506,plain,
% 49.97/33.10 (((~nextState(constB193, constB194)) | (~v108(constB193)) | v110(constB194)) <=> ((~nextState(constB193, constB194)) | v110(constB194) | (~v108(constB193)))),
% 49.97/33.10 inference(rewrite,[status(thm)],[])).
% 49.97/33.10 tff(27507,plain,
% 49.97/33.10 (((~![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))))),
% 49.97/33.10 inference(monotonicity,[status(thm)],[27506])).
% 49.97/33.10 tff(27508,plain,
% 49.97/33.10 (((~![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)))),
% 49.97/33.10 inference(transitivity,[status(thm)],[27507, 27505])).
% 49.97/33.10 tff(27509,plain,
% 49.97/33.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB193, constB194)) | (~v108(constB193)) | v110(constB194))),
% 49.97/33.10 inference(quant_inst,[status(thm)],[])).
% 49.97/33.10 tff(27510,plain,
% 49.97/33.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB193, constB194)) | v110(constB194) | (~v108(constB193))),
% 49.97/33.10 inference(modus_ponens,[status(thm)],[27509, 27508])).
% 49.97/33.10 tff(27511,plain,
% 49.97/33.10 (v110(constB194) | (~v108(constB193))),
% 49.97/33.10 inference(unit_resolution,[status(thm)],[27510, 253, 27459])).
% 49.97/33.10 tff(27512,plain,
% 49.97/33.10 (~v108(constB193)),
% 49.97/33.10 inference(unit_resolution,[status(thm)],[27511, 27504])).
% 49.97/33.10 tff(27513,plain,
% 49.97/33.10 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB193) | (~v112(constB193)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB193) | (~v112(constB193)))),
% 49.97/33.10 inference(rewrite,[status(thm)],[])).
% 49.97/33.10 tff(27514,plain,
% 49.97/33.10 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB193) | (~v112(constB193)))),
% 49.97/33.10 inference(quant_inst,[status(thm)],[])).
% 49.97/33.10 tff(27515,plain,
% 49.97/33.10 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB193) | (~v112(constB193))),
% 49.97/33.10 inference(modus_ponens,[status(thm)],[27514, 27513])).
% 49.97/33.10 tff(27516,plain,
% 49.97/33.10 (~v112(constB193)),
% 49.97/33.10 inference(unit_resolution,[status(thm)],[27515, 236, 27512])).
% 49.97/33.10 tff(27517,plain,
% 49.97/33.10 (((~![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)))),
% 49.97/33.10 inference(rewrite,[status(thm)],[])).
% 49.97/33.10 tff(27518,plain,
% 49.97/33.10 ((v26(constB193) | (~v113(constB193)) | v112(constB193)) <=> (v26(constB193) | v112(constB193) | (~v113(constB193)))),
% 49.97/33.10 inference(rewrite,[status(thm)],[])).
% 49.97/33.10 tff(27519,plain,
% 49.97/33.10 (((~![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))))),
% 49.97/33.10 inference(monotonicity,[status(thm)],[27518])).
% 49.97/33.10 tff(27520,plain,
% 49.97/33.10 (((~![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)))),
% 49.97/33.10 inference(transitivity,[status(thm)],[27519, 27517])).
% 49.97/33.10 tff(27521,plain,
% 49.97/33.10 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB193) | (~v113(constB193)) | v112(constB193))),
% 49.97/33.10 inference(quant_inst,[status(thm)],[])).
% 49.97/33.10 tff(27522,plain,
% 49.97/33.10 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB193) | v112(constB193) | (~v113(constB193))),
% 49.97/33.10 inference(modus_ponens,[status(thm)],[27521, 27520])).
% 49.97/33.10 tff(27523,plain,
% 49.97/33.10 (v112(constB193) | (~v113(constB193))),
% 49.97/33.10 inference(unit_resolution,[status(thm)],[27522, 224, 27448])).
% 49.97/33.10 tff(27524,plain,
% 49.97/33.10 (~v113(constB193)),
% 49.97/33.10 inference(unit_resolution,[status(thm)],[27523, 27516])).
% 49.97/33.10 tff(27525,plain,
% 49.97/33.10 (((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB193) | (~v114(constB193)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB193) | (~v114(constB193)))),
% 49.97/33.10 inference(rewrite,[status(thm)],[])).
% 49.97/33.10 tff(27526,plain,
% 49.97/33.10 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | (v113(constB193) | (~v114(constB193)))),
% 49.97/33.10 inference(quant_inst,[status(thm)],[])).
% 49.97/33.10 tff(27527,plain,
% 49.97/33.10 ((~![VarCurr: $i] : (v113(VarCurr) | (~v114(VarCurr)))) | v113(constB193) | (~v114(constB193))),
% 49.97/33.10 inference(modus_ponens,[status(thm)],[27526, 27525])).
% 49.97/33.10 tff(27528,plain,
% 49.97/33.10 (~v114(constB193)),
% 49.97/33.10 inference(unit_resolution,[status(thm)],[27527, 210, 27524])).
% 49.97/33.10 tff(27529,plain,
% 49.97/33.10 (((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB193) | (~v115(constB193)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB193) | (~v115(constB193)))),
% 49.97/33.10 inference(rewrite,[status(thm)],[])).
% 49.97/33.10 tff(27530,plain,
% 49.97/33.10 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | (v114(constB193) | (~v115(constB193)))),
% 49.97/33.10 inference(quant_inst,[status(thm)],[])).
% 49.97/33.10 tff(27531,plain,
% 49.97/33.10 ((~![VarCurr: $i] : (v114(VarCurr) | (~v115(VarCurr)))) | v114(constB193) | (~v115(constB193))),
% 49.97/33.10 inference(modus_ponens,[status(thm)],[27530, 27529])).
% 49.97/33.10 tff(27532,plain,
% 49.97/33.10 (~v115(constB193)),
% 49.97/33.10 inference(unit_resolution,[status(thm)],[27531, 199, 27528])).
% 49.97/33.10 tff(27533,plain,
% 49.97/33.10 (((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB193) | (~v116(constB193)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB193) | (~v116(constB193)))),
% 49.97/33.10 inference(rewrite,[status(thm)],[])).
% 49.97/33.10 tff(27534,plain,
% 49.97/33.10 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | (v115(constB193) | (~v116(constB193)))),
% 49.97/33.10 inference(quant_inst,[status(thm)],[])).
% 49.97/33.10 tff(27535,plain,
% 49.97/33.10 ((~![VarCurr: $i] : (v115(VarCurr) | (~v116(VarCurr)))) | v115(constB193) | (~v116(constB193))),
% 49.97/33.10 inference(modus_ponens,[status(thm)],[27534, 27533])).
% 49.97/33.10 tff(27536,plain,
% 49.97/33.10 (~v116(constB193)),
% 49.97/33.10 inference(unit_resolution,[status(thm)],[27535, 188, 27532])).
% 49.97/33.10 tff(27537,plain,
% 49.97/33.10 (((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB193) | (~v117(constB193)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB193) | (~v117(constB193)))),
% 49.97/33.10 inference(rewrite,[status(thm)],[])).
% 49.97/33.10 tff(27538,plain,
% 49.97/33.10 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | (v116(constB193) | (~v117(constB193)))),
% 49.97/33.10 inference(quant_inst,[status(thm)],[])).
% 49.97/33.10 tff(27539,plain,
% 49.97/33.10 ((~![VarCurr: $i] : (v116(VarCurr) | (~v117(VarCurr)))) | v116(constB193) | (~v117(constB193))),
% 49.97/33.10 inference(modus_ponens,[status(thm)],[27538, 27537])).
% 49.97/33.10 tff(27540,plain,
% 49.97/33.10 (~v117(constB193)),
% 49.97/33.10 inference(unit_resolution,[status(thm)],[27539, 177, 27536])).
% 49.97/33.10 tff(27541,plain,
% 49.97/33.10 (((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB193) | (~v118(constB193)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB193) | (~v118(constB193)))),
% 49.97/33.10 inference(rewrite,[status(thm)],[])).
% 49.97/33.10 tff(27542,plain,
% 49.97/33.10 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | (v117(constB193) | (~v118(constB193)))),
% 49.97/33.10 inference(quant_inst,[status(thm)],[])).
% 49.97/33.10 tff(27543,plain,
% 49.97/33.10 ((~![VarCurr: $i] : (v117(VarCurr) | (~v118(VarCurr)))) | v117(constB193) | (~v118(constB193))),
% 49.97/33.10 inference(modus_ponens,[status(thm)],[27542, 27541])).
% 49.97/33.10 tff(27544,plain,
% 49.97/33.10 (~v118(constB193)),
% 49.97/33.10 inference(unit_resolution,[status(thm)],[27543, 166, 27540])).
% 49.97/33.10 tff(27545,plain,
% 49.97/33.10 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB193) | (~v120(constB193)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB193) | (~v120(constB193)))),
% 49.97/33.10 inference(rewrite,[status(thm)],[])).
% 49.97/33.10 tff(27546,plain,
% 49.97/33.10 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB193) | (~v120(constB193)))),
% 49.97/33.10 inference(quant_inst,[status(thm)],[])).
% 49.97/33.10 tff(27547,plain,
% 49.97/33.10 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB193) | (~v120(constB193))),
% 49.97/33.10 inference(modus_ponens,[status(thm)],[27546, 27545])).
% 49.97/33.10 tff(27548,plain,
% 49.97/33.10 (~v120(constB193)),
% 49.97/33.10 inference(unit_resolution,[status(thm)],[27547, 1302, 27544])).
% 49.97/33.10 tff(27549,assumption,(~v90(constB193, bitIndex2)), introduced(assumption)).
% 49.97/33.10 tff(27550,plain,
% 49.97/33.10 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB193) | (~v125(constB193)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB193) | (~v125(constB193)))),
% 49.97/33.10 inference(rewrite,[status(thm)],[])).
% 49.97/33.10 tff(27551,plain,
% 49.97/33.10 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB193) | (~v125(constB193)))),
% 49.97/33.10 inference(quant_inst,[status(thm)],[])).
% 49.97/33.10 tff(27552,plain,
% 49.97/33.10 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB193) | (~v125(constB193))),
% 49.97/33.10 inference(modus_ponens,[status(thm)],[27551, 27550])).
% 49.97/33.10 tff(27553,plain,
% 49.97/33.10 (~v125(constB193)),
% 49.97/33.10 inference(unit_resolution,[status(thm)],[27552, 1031, 27524])).
% 49.97/33.10 tff(27554,assumption,(~v90(constB194, bitIndex0)), introduced(assumption)).
% 49.97/33.10 tff(27555,assumption,(~v90(constB194, bitIndex1)), introduced(assumption)).
% 49.97/33.10 tff(27556,assumption,(~v90(constB194, bitIndex2)), introduced(assumption)).
% 49.97/33.10 tff(27557,assumption,(~v110(constB194)), introduced(assumption)).
% 49.97/33.10 tff(27558,plain,
% 49.97/33.10 (~v100(constB194)),
% 49.97/33.10 inference(unit_resolution,[status(thm)],[27471, 27557])).
% 49.97/33.10 tff(27559,plain,
% 49.97/33.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB193, bitIndex2)) | (~nextState(constB193, constB194)) | v100(constB194) | v90(constB194, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB193, bitIndex2)) | (~nextState(constB193, constB194)) | v100(constB194) | v90(constB194, bitIndex2))),
% 49.97/33.10 inference(rewrite,[status(thm)],[])).
% 49.97/33.10 tff(27560,plain,
% 49.97/33.10 (((~nextState(constB193, constB194)) | (~v90(constB193, bitIndex2)) | v100(constB194) | v90(constB194, bitIndex2)) <=> ((~v90(constB193, bitIndex2)) | (~nextState(constB193, constB194)) | v100(constB194) | v90(constB194, bitIndex2))),
% 49.97/33.10 inference(rewrite,[status(thm)],[])).
% 49.97/33.10 tff(27561,plain,
% 49.97/33.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB193, constB194)) | (~v90(constB193, bitIndex2)) | v100(constB194) | v90(constB194, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB193, bitIndex2)) | (~nextState(constB193, constB194)) | v100(constB194) | v90(constB194, bitIndex2)))),
% 49.97/33.10 inference(monotonicity,[status(thm)],[27560])).
% 49.97/33.10 tff(27562,plain,
% 49.97/33.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB193, constB194)) | (~v90(constB193, bitIndex2)) | v100(constB194) | v90(constB194, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB193, bitIndex2)) | (~nextState(constB193, constB194)) | v100(constB194) | v90(constB194, bitIndex2))),
% 49.97/33.10 inference(transitivity,[status(thm)],[27561, 27559])).
% 49.97/33.10 tff(27563,plain,
% 49.97/33.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB193, constB194)) | (~v90(constB193, bitIndex2)) | v100(constB194) | v90(constB194, bitIndex2))),
% 49.97/33.10 inference(quant_inst,[status(thm)],[])).
% 49.97/33.10 tff(27564,plain,
% 49.97/33.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB193, bitIndex2)) | (~nextState(constB193, constB194)) | v100(constB194) | v90(constB194, bitIndex2)),
% 49.97/33.10 inference(modus_ponens,[status(thm)],[27563, 27562])).
% 49.97/33.10 tff(27565,plain,
% 49.97/33.10 ((~v90(constB193, bitIndex2)) | v100(constB194) | v90(constB194, bitIndex2)),
% 49.97/33.10 inference(unit_resolution,[status(thm)],[27564, 417, 27459])).
% 49.97/33.10 tff(27566,plain,
% 49.97/33.10 (~v90(constB193, bitIndex2)),
% 49.97/33.10 inference(unit_resolution,[status(thm)],[27565, 27558, 27556])).
% 49.97/33.10 tff(27567,plain,
% 49.97/33.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB193, bitIndex1)) | (~nextState(constB193, constB194)) | v100(constB194) | v90(constB194, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB193, bitIndex1)) | (~nextState(constB193, constB194)) | v100(constB194) | v90(constB194, bitIndex1))),
% 49.97/33.10 inference(rewrite,[status(thm)],[])).
% 49.97/33.10 tff(27568,plain,
% 49.97/33.10 (((~nextState(constB193, constB194)) | (~v90(constB193, bitIndex1)) | v100(constB194) | v90(constB194, bitIndex1)) <=> ((~v90(constB193, bitIndex1)) | (~nextState(constB193, constB194)) | v100(constB194) | v90(constB194, bitIndex1))),
% 49.97/33.10 inference(rewrite,[status(thm)],[])).
% 49.97/33.10 tff(27569,plain,
% 49.97/33.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB193, constB194)) | (~v90(constB193, bitIndex1)) | v100(constB194) | v90(constB194, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB193, bitIndex1)) | (~nextState(constB193, constB194)) | v100(constB194) | v90(constB194, bitIndex1)))),
% 49.97/33.10 inference(monotonicity,[status(thm)],[27568])).
% 49.97/33.10 tff(27570,plain,
% 49.97/33.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB193, constB194)) | (~v90(constB193, bitIndex1)) | v100(constB194) | v90(constB194, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB193, bitIndex1)) | (~nextState(constB193, constB194)) | v100(constB194) | v90(constB194, bitIndex1))),
% 49.97/33.10 inference(transitivity,[status(thm)],[27569, 27567])).
% 49.97/33.10 tff(27571,plain,
% 49.97/33.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB193, constB194)) | (~v90(constB193, bitIndex1)) | v100(constB194) | v90(constB194, bitIndex1))),
% 49.97/33.10 inference(quant_inst,[status(thm)],[])).
% 49.97/33.10 tff(27572,plain,
% 49.97/33.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB193, bitIndex1)) | (~nextState(constB193, constB194)) | v100(constB194) | v90(constB194, bitIndex1)),
% 49.97/33.10 inference(modus_ponens,[status(thm)],[27571, 27570])).
% 49.97/33.10 tff(27573,plain,
% 49.97/33.10 ((~v90(constB193, bitIndex1)) | v100(constB194) | v90(constB194, bitIndex1)),
% 49.97/33.10 inference(unit_resolution,[status(thm)],[27572, 747, 27459])).
% 49.97/33.10 tff(27574,plain,
% 49.97/33.10 (~v90(constB193, bitIndex1)),
% 49.97/33.10 inference(unit_resolution,[status(thm)],[27573, 27558, 27555])).
% 49.97/33.10 tff(27575,plain,
% 49.97/33.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB193, bitIndex0)) | (~nextState(constB193, constB194)) | v100(constB194) | v90(constB194, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB193, bitIndex0)) | (~nextState(constB193, constB194)) | v100(constB194) | v90(constB194, bitIndex0))),
% 49.97/33.10 inference(rewrite,[status(thm)],[])).
% 49.97/33.10 tff(27576,plain,
% 49.97/33.10 (((~nextState(constB193, constB194)) | (~v90(constB193, bitIndex0)) | v100(constB194) | v90(constB194, bitIndex0)) <=> ((~v90(constB193, bitIndex0)) | (~nextState(constB193, constB194)) | v100(constB194) | v90(constB194, bitIndex0))),
% 49.97/33.10 inference(rewrite,[status(thm)],[])).
% 49.97/33.10 tff(27577,plain,
% 49.97/33.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB193, constB194)) | (~v90(constB193, bitIndex0)) | v100(constB194) | v90(constB194, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB193, bitIndex0)) | (~nextState(constB193, constB194)) | v100(constB194) | v90(constB194, bitIndex0)))),
% 49.97/33.10 inference(monotonicity,[status(thm)],[27576])).
% 49.97/33.10 tff(27578,plain,
% 49.97/33.10 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB193, constB194)) | (~v90(constB193, bitIndex0)) | v100(constB194) | v90(constB194, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB193, bitIndex0)) | (~nextState(constB193, constB194)) | v100(constB194) | v90(constB194, bitIndex0))),
% 49.97/33.10 inference(transitivity,[status(thm)],[27577, 27575])).
% 49.97/33.10 tff(27579,plain,
% 49.97/33.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB193, constB194)) | (~v90(constB193, bitIndex0)) | v100(constB194) | v90(constB194, bitIndex0))),
% 49.97/33.10 inference(quant_inst,[status(thm)],[])).
% 49.97/33.10 tff(27580,plain,
% 49.97/33.10 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB193, bitIndex0)) | (~nextState(constB193, constB194)) | v100(constB194) | v90(constB194, bitIndex0)),
% 49.97/33.10 inference(modus_ponens,[status(thm)],[27579, 27578])).
% 49.97/33.10 tff(27581,plain,
% 49.97/33.10 ((~v90(constB193, bitIndex0)) | v100(constB194) | v90(constB194, bitIndex0)),
% 49.97/33.10 inference(unit_resolution,[status(thm)],[27580, 1124, 27459])).
% 49.97/33.10 tff(27582,plain,
% 49.97/33.10 (~v90(constB193, bitIndex0)),
% 49.97/33.10 inference(unit_resolution,[status(thm)],[27581, 27558, 27554])).
% 49.97/33.10 tff(27583,plain,
% 49.97/33.10 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB193) | v90(constB193, bitIndex0) | v90(constB193, bitIndex1) | v90(constB193, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB193) | v90(constB193, bitIndex0) | v90(constB193, bitIndex1) | v90(constB193, bitIndex2))),
% 49.97/33.10 inference(rewrite,[status(thm)],[])).
% 49.97/33.10 tff(27584,plain,
% 49.97/33.10 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB193) | v90(constB193, bitIndex0) | v90(constB193, bitIndex1) | v90(constB193, bitIndex2))),
% 49.97/33.10 inference(quant_inst,[status(thm)],[])).
% 49.97/33.10 tff(27585,plain,
% 49.97/33.10 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB193) | v90(constB193, bitIndex0) | v90(constB193, bitIndex1) | v90(constB193, bitIndex2)),
% 49.97/33.10 inference(modus_ponens,[status(thm)],[27584, 27583])).
% 49.97/33.10 tff(27586,plain,
% 49.97/33.10 (v119(constB193)),
% 49.97/33.10 inference(unit_resolution,[status(thm)],[27585, 144, 27582, 27574, 27566])).
% 49.97/33.10 tff(27587,plain,
% 49.97/33.10 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB193) | (~v119(constB193)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB193) | (~v119(constB193)))),
% 49.97/33.10 inference(rewrite,[status(thm)],[])).
% 49.97/33.10 tff(27588,plain,
% 49.97/33.10 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB193) | (~v119(constB193)))),
% 49.97/33.10 inference(quant_inst,[status(thm)],[])).
% 49.97/33.10 tff(27589,plain,
% 49.97/33.10 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB193) | (~v119(constB193))),
% 50.06/33.10 inference(modus_ponens,[status(thm)],[27588, 27587])).
% 50.06/33.10 tff(27590,plain,
% 50.06/33.10 (v118(constB193)),
% 50.06/33.10 inference(unit_resolution,[status(thm)],[27589, 155, 27586])).
% 50.06/33.10 tff(27591,plain,
% 50.06/33.10 (v117(constB193)),
% 50.06/33.10 inference(unit_resolution,[status(thm)],[27543, 166, 27590])).
% 50.06/33.10 tff(27592,plain,
% 50.06/33.10 (v116(constB193)),
% 50.06/33.10 inference(unit_resolution,[status(thm)],[27539, 177, 27591])).
% 50.06/33.10 tff(27593,plain,
% 50.06/33.10 (~v108(constB193)),
% 50.06/33.10 inference(unit_resolution,[status(thm)],[27511, 27557])).
% 50.06/33.10 tff(27594,plain,
% 50.06/33.10 (~v112(constB193)),
% 50.06/33.10 inference(unit_resolution,[status(thm)],[27515, 236, 27593])).
% 50.06/33.10 tff(27595,plain,
% 50.06/33.10 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB193) | (~v26(constB193)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB193) | (~v26(constB193)))),
% 50.06/33.10 inference(rewrite,[status(thm)],[])).
% 50.06/33.10 tff(27596,plain,
% 50.06/33.10 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB193) | (~v26(constB193)))),
% 50.06/33.10 inference(quant_inst,[status(thm)],[])).
% 50.06/33.10 tff(27597,plain,
% 50.06/33.10 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB193) | (~v26(constB193))),
% 50.06/33.10 inference(modus_ponens,[status(thm)],[27596, 27595])).
% 50.06/33.10 tff(27598,plain,
% 50.06/33.10 (~v26(constB193)),
% 50.06/33.10 inference(unit_resolution,[status(thm)],[27597, 961, 27593])).
% 50.06/33.10 tff(27599,plain,
% 50.06/33.10 (~v113(constB193)),
% 50.06/33.10 inference(unit_resolution,[status(thm)],[27522, 224, 27598, 27594])).
% 50.06/33.10 tff(27600,plain,
% 50.06/33.10 (~v114(constB193)),
% 50.06/33.10 inference(unit_resolution,[status(thm)],[27527, 210, 27599])).
% 50.06/33.10 tff(27601,plain,
% 50.06/33.10 (~v115(constB193)),
% 50.06/33.10 inference(unit_resolution,[status(thm)],[27531, 199, 27600])).
% 50.06/33.10 tff(27602,plain,
% 50.06/33.10 ($false),
% 50.06/33.10 inference(unit_resolution,[status(thm)],[27535, 188, 27601, 27592])).
% 50.06/33.10 tff(27603,plain,(v110(constB194) | v90(constB194, bitIndex2) | v90(constB194, bitIndex1) | v90(constB194, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 50.06/33.10 tff(27604,plain,
% 50.06/33.10 (v110(constB194)),
% 50.06/33.10 inference(unit_resolution,[status(thm)],[27603, 27556, 27555, 27554])).
% 50.06/33.10 tff(27605,plain,
% 50.06/33.10 (v100(constB194)),
% 50.06/33.10 inference(unit_resolution,[status(thm)],[27503, 27604])).
% 50.06/33.10 tff(27606,plain,
% 50.06/33.10 (((~![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)))),
% 50.06/33.10 inference(rewrite,[status(thm)],[])).
% 50.06/33.10 tff(27607,plain,
% 50.06/33.10 ((v90(constB194, bitIndex2) | (~v100(constB194)) | (~v129(constB194, bitIndex2))) <=> (v90(constB194, bitIndex2) | (~v129(constB194, bitIndex2)) | (~v100(constB194)))),
% 50.06/33.10 inference(rewrite,[status(thm)],[])).
% 50.06/33.10 tff(27608,plain,
% 50.06/33.10 (((~![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))))),
% 50.06/33.10 inference(monotonicity,[status(thm)],[27607])).
% 50.06/33.10 tff(27609,plain,
% 50.06/33.10 (((~![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)))),
% 50.06/33.10 inference(transitivity,[status(thm)],[27608, 27606])).
% 50.06/33.10 tff(27610,plain,
% 50.06/33.10 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB194, bitIndex2) | (~v100(constB194)) | (~v129(constB194, bitIndex2)))),
% 50.06/33.10 inference(quant_inst,[status(thm)],[])).
% 50.06/33.10 tff(27611,plain,
% 50.06/33.10 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB194, bitIndex2) | (~v129(constB194, bitIndex2)) | (~v100(constB194))),
% 50.06/33.11 inference(modus_ponens,[status(thm)],[27610, 27609])).
% 50.06/33.11 tff(27612,plain,
% 50.06/33.11 (~v129(constB194, bitIndex2)),
% 50.06/33.11 inference(unit_resolution,[status(thm)],[27611, 381, 27605, 27556])).
% 50.06/33.11 tff(27613,plain,
% 50.06/33.11 (((~![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))),
% 50.06/33.11 inference(rewrite,[status(thm)],[])).
% 50.06/33.11 tff(27614,plain,
% 50.06/33.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB193, constB194)) | (~v127(constB193, bitIndex2)) | v129(constB194, bitIndex2))),
% 50.06/33.11 inference(quant_inst,[status(thm)],[])).
% 50.06/33.11 tff(27615,plain,
% 50.06/33.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB193, constB194)) | (~v127(constB193, bitIndex2)) | v129(constB194, bitIndex2)),
% 50.06/33.11 inference(modus_ponens,[status(thm)],[27614, 27613])).
% 50.06/33.11 tff(27616,plain,
% 50.06/33.11 ((~v127(constB193, bitIndex2)) | v129(constB194, bitIndex2)),
% 50.06/33.11 inference(unit_resolution,[status(thm)],[27615, 366, 27459])).
% 50.06/33.11 tff(27617,plain,
% 50.06/33.11 (~v127(constB193, bitIndex2)),
% 50.06/33.11 inference(unit_resolution,[status(thm)],[27616, 27612])).
% 50.06/33.11 tff(27618,plain,
% 50.06/33.11 (((~![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))) | v26(constB193) | (~v130(constB193, bitIndex2)) | v127(constB193, bitIndex2))),
% 50.06/33.11 inference(rewrite,[status(thm)],[])).
% 50.06/33.11 tff(27619,plain,
% 50.06/33.11 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB193) | (~v130(constB193, bitIndex2)) | v127(constB193, bitIndex2))),
% 50.06/33.11 inference(quant_inst,[status(thm)],[])).
% 50.06/33.11 tff(27620,plain,
% 50.06/33.11 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB193) | (~v130(constB193, bitIndex2)) | v127(constB193, bitIndex2)),
% 50.06/33.11 inference(modus_ponens,[status(thm)],[27619, 27618])).
% 50.06/33.11 tff(27621,plain,
% 50.06/33.11 ((~v130(constB193, bitIndex2)) | v127(constB193, bitIndex2)),
% 50.06/33.11 inference(unit_resolution,[status(thm)],[27620, 351, 27448])).
% 50.06/33.11 tff(27622,plain,
% 50.06/33.11 (~v130(constB193, bitIndex2)),
% 50.06/33.11 inference(unit_resolution,[status(thm)],[27621, 27617])).
% 50.06/33.11 tff(27623,plain,
% 50.06/33.11 (((~![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)))),
% 50.06/33.11 inference(rewrite,[status(thm)],[])).
% 50.06/33.11 tff(27624,plain,
% 50.06/33.11 ((v90(constB194, bitIndex0) | (~v100(constB194)) | (~v129(constB194, bitIndex0))) <=> (v90(constB194, bitIndex0) | (~v129(constB194, bitIndex0)) | (~v100(constB194)))),
% 50.06/33.11 inference(rewrite,[status(thm)],[])).
% 50.06/33.11 tff(27625,plain,
% 50.06/33.11 (((~![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))))),
% 50.06/33.11 inference(monotonicity,[status(thm)],[27624])).
% 50.06/33.11 tff(27626,plain,
% 50.06/33.11 (((~![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)))),
% 50.06/33.11 inference(transitivity,[status(thm)],[27625, 27623])).
% 50.06/33.11 tff(27627,plain,
% 50.06/33.11 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB194, bitIndex0) | (~v100(constB194)) | (~v129(constB194, bitIndex0)))),
% 50.06/33.11 inference(quant_inst,[status(thm)],[])).
% 50.06/33.11 tff(27628,plain,
% 50.06/33.11 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB194, bitIndex0) | (~v129(constB194, bitIndex0)) | (~v100(constB194))),
% 50.06/33.11 inference(modus_ponens,[status(thm)],[27627, 27626])).
% 50.06/33.11 tff(27629,plain,
% 50.06/33.11 ((~v129(constB194, bitIndex0)) | (~v100(constB194))),
% 50.06/33.11 inference(unit_resolution,[status(thm)],[27628, 1088, 27554])).
% 50.06/33.11 tff(27630,plain,
% 50.06/33.11 (~v129(constB194, bitIndex0)),
% 50.06/33.11 inference(unit_resolution,[status(thm)],[27629, 27605])).
% 50.06/33.11 tff(27631,plain,
% 50.06/33.11 (((~![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))),
% 50.06/33.11 inference(rewrite,[status(thm)],[])).
% 50.06/33.11 tff(27632,plain,
% 50.06/33.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB193, constB194)) | (~v127(constB193, bitIndex0)) | v129(constB194, bitIndex0))),
% 50.06/33.11 inference(quant_inst,[status(thm)],[])).
% 50.06/33.11 tff(27633,plain,
% 50.06/33.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB193, constB194)) | (~v127(constB193, bitIndex0)) | v129(constB194, bitIndex0)),
% 50.06/33.11 inference(modus_ponens,[status(thm)],[27632, 27631])).
% 50.06/33.11 tff(27634,plain,
% 50.06/33.11 ((~v127(constB193, bitIndex0)) | v129(constB194, bitIndex0)),
% 50.06/33.11 inference(unit_resolution,[status(thm)],[27633, 944, 27459])).
% 50.06/33.11 tff(27635,plain,
% 50.06/33.11 (~v127(constB193, bitIndex0)),
% 50.06/33.11 inference(unit_resolution,[status(thm)],[27634, 27630])).
% 50.06/33.11 tff(27636,plain,
% 50.06/33.11 (((~![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))),
% 50.06/33.11 inference(rewrite,[status(thm)],[])).
% 50.06/33.11 tff(27637,plain,
% 50.06/33.11 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB193) | (~v130(constB193, bitIndex0)) | v127(constB193, bitIndex0))),
% 50.06/33.11 inference(quant_inst,[status(thm)],[])).
% 50.06/33.11 tff(27638,plain,
% 50.06/33.11 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB193) | (~v130(constB193, bitIndex0)) | v127(constB193, bitIndex0)),
% 50.06/33.11 inference(modus_ponens,[status(thm)],[27637, 27636])).
% 50.06/33.11 tff(27639,plain,
% 50.06/33.11 ((~v130(constB193, bitIndex0)) | v127(constB193, bitIndex0)),
% 50.06/33.11 inference(unit_resolution,[status(thm)],[27638, 926, 27448])).
% 50.06/33.11 tff(27640,plain,
% 50.06/33.11 (~v130(constB193, bitIndex0)),
% 50.06/33.11 inference(unit_resolution,[status(thm)],[27639, 27635])).
% 50.06/33.11 tff(27641,plain,
% 50.06/33.11 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB193)) | v130(constB193, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB193)) | v130(constB193, bitIndex0))),
% 50.06/33.11 inference(rewrite,[status(thm)],[])).
% 50.06/33.11 tff(27642,plain,
% 50.06/33.11 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB193)) | v130(constB193, bitIndex0))),
% 50.06/33.11 inference(quant_inst,[status(thm)],[])).
% 50.06/33.11 tff(27643,plain,
% 50.06/33.11 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB193)) | v130(constB193, bitIndex0)),
% 50.06/33.11 inference(modus_ponens,[status(thm)],[27642, 27641])).
% 50.06/33.11 tff(27644,plain,
% 50.06/33.11 (~v121(constB193)),
% 50.06/33.11 inference(unit_resolution,[status(thm)],[27643, 1748, 27640])).
% 50.06/33.11 tff(27645,plain,
% 50.06/33.11 (((~![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)))),
% 50.06/33.11 inference(rewrite,[status(thm)],[])).
% 50.06/33.11 tff(27646,plain,
% 50.06/33.11 ((v90(constB194, bitIndex1) | (~v100(constB194)) | (~v129(constB194, bitIndex1))) <=> (v90(constB194, bitIndex1) | (~v129(constB194, bitIndex1)) | (~v100(constB194)))),
% 50.06/33.11 inference(rewrite,[status(thm)],[])).
% 50.06/33.11 tff(27647,plain,
% 50.06/33.11 (((~![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))))),
% 50.06/33.11 inference(monotonicity,[status(thm)],[27646])).
% 50.06/33.11 tff(27648,plain,
% 50.06/33.11 (((~![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)))),
% 50.06/33.11 inference(transitivity,[status(thm)],[27647, 27645])).
% 50.06/33.11 tff(27649,plain,
% 50.06/33.11 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | (v90(constB194, bitIndex1) | (~v100(constB194)) | (~v129(constB194, bitIndex1)))),
% 50.06/33.11 inference(quant_inst,[status(thm)],[])).
% 50.06/33.11 tff(27650,plain,
% 50.06/33.11 ((~![VarNext: $i] : (v90(VarNext, bitIndex1) | (~v100(VarNext)) | (~v129(VarNext, bitIndex1)))) | v90(constB194, bitIndex1) | (~v129(constB194, bitIndex1)) | (~v100(constB194))),
% 50.06/33.11 inference(modus_ponens,[status(thm)],[27649, 27648])).
% 50.06/33.11 tff(27651,plain,
% 50.06/33.11 ((~v129(constB194, bitIndex1)) | (~v100(constB194))),
% 50.06/33.11 inference(unit_resolution,[status(thm)],[27650, 711, 27555])).
% 50.06/33.11 tff(27652,plain,
% 50.06/33.11 (~v129(constB194, bitIndex1)),
% 50.06/33.11 inference(unit_resolution,[status(thm)],[27651, 27605])).
% 50.06/33.11 tff(27653,plain,
% 50.06/33.11 (((~![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))),
% 50.06/33.11 inference(rewrite,[status(thm)],[])).
% 50.06/33.11 tff(27654,plain,
% 50.06/33.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | ((~nextState(constB193, constB194)) | (~v127(constB193, bitIndex1)) | v129(constB194, bitIndex1))),
% 50.06/33.11 inference(quant_inst,[status(thm)],[])).
% 50.06/33.11 tff(27655,plain,
% 50.06/33.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex1)) | v129(VarNext, bitIndex1))) | (~nextState(constB193, constB194)) | (~v127(constB193, bitIndex1)) | v129(constB194, bitIndex1)),
% 50.06/33.11 inference(modus_ponens,[status(thm)],[27654, 27653])).
% 50.06/33.11 tff(27656,plain,
% 50.06/33.11 ((~v127(constB193, bitIndex1)) | v129(constB194, bitIndex1)),
% 50.06/33.11 inference(unit_resolution,[status(thm)],[27655, 696, 27459])).
% 50.06/33.11 tff(27657,plain,
% 50.06/33.11 (~v127(constB193, bitIndex1)),
% 50.06/33.11 inference(unit_resolution,[status(thm)],[27656, 27652])).
% 50.06/33.11 tff(27658,assumption,(~v26(constB193)), introduced(assumption)).
% 50.06/33.11 tff(27659,assumption,(~v127(constB193, bitIndex2)), introduced(assumption)).
% 50.06/33.11 tff(27660,plain,
% 50.06/33.11 (v26(constB193) | (~v130(constB193, bitIndex2))),
% 50.06/33.11 inference(unit_resolution,[status(thm)],[27620, 351, 27659])).
% 50.06/33.11 tff(27661,plain,
% 50.06/33.11 (~v130(constB193, bitIndex2)),
% 50.06/33.11 inference(unit_resolution,[status(thm)],[27660, 27658])).
% 50.06/33.11 tff(27662,plain,
% 50.06/33.11 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB193)) | v130(constB193, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB193)) | v130(constB193, bitIndex2))),
% 50.06/33.11 inference(rewrite,[status(thm)],[])).
% 50.06/33.11 tff(27663,plain,
% 50.06/33.11 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB193)) | v130(constB193, bitIndex2))),
% 50.06/33.11 inference(quant_inst,[status(thm)],[])).
% 50.06/33.11 tff(27664,plain,
% 50.06/33.11 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB193)) | v130(constB193, bitIndex2)),
% 50.06/33.11 inference(modus_ponens,[status(thm)],[27663, 27662])).
% 50.06/33.11 tff(27665,plain,
% 50.06/33.11 (~v119(constB193)),
% 50.06/33.11 inference(unit_resolution,[status(thm)],[27664, 337, 27661])).
% 50.06/33.11 tff(27666,assumption,(~v127(constB193, bitIndex1)), introduced(assumption)).
% 50.06/33.11 tff(27667,plain,
% 50.06/33.11 (((~![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))) | v26(constB193) | (~v130(constB193, bitIndex1)) | v127(constB193, bitIndex1))),
% 50.06/33.11 inference(rewrite,[status(thm)],[])).
% 50.06/33.11 tff(27668,plain,
% 50.06/33.11 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | (v26(constB193) | (~v130(constB193, bitIndex1)) | v127(constB193, bitIndex1))),
% 50.06/33.11 inference(quant_inst,[status(thm)],[])).
% 50.06/33.11 tff(27669,plain,
% 50.06/33.11 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex1)) | v127(VarCurr, bitIndex1))) | v26(constB193) | (~v130(constB193, bitIndex1)) | v127(constB193, bitIndex1)),
% 50.06/33.11 inference(modus_ponens,[status(thm)],[27668, 27667])).
% 50.06/33.11 tff(27670,plain,
% 50.06/33.11 (v26(constB193) | (~v130(constB193, bitIndex1))),
% 50.06/33.11 inference(unit_resolution,[status(thm)],[27669, 681, 27666])).
% 50.06/33.11 tff(27671,plain,
% 50.06/33.11 (~v130(constB193, bitIndex1)),
% 50.06/33.11 inference(unit_resolution,[status(thm)],[27670, 27658])).
% 50.06/33.11 tff(27672,plain,
% 50.06/33.11 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB193)) | v130(constB193, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB193)) | v130(constB193, bitIndex1))),
% 50.06/33.11 inference(rewrite,[status(thm)],[])).
% 50.06/33.11 tff(27673,plain,
% 50.06/33.11 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB193)) | v130(constB193, bitIndex1))),
% 50.06/33.11 inference(quant_inst,[status(thm)],[])).
% 50.06/33.11 tff(27674,plain,
% 50.06/33.11 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB193)) | v130(constB193, bitIndex1)),
% 50.06/33.11 inference(modus_ponens,[status(thm)],[27673, 27672])).
% 50.06/33.11 tff(27675,plain,
% 50.06/33.11 (~v120(constB193)),
% 50.06/33.11 inference(unit_resolution,[status(thm)],[27674, 1450, 27671])).
% 50.06/33.11 tff(27676,assumption,(~v127(constB193, bitIndex0)), introduced(assumption)).
% 50.06/33.11 tff(27677,plain,
% 50.06/33.11 (v26(constB193) | (~v130(constB193, bitIndex0))),
% 50.06/33.11 inference(unit_resolution,[status(thm)],[27638, 926, 27676])).
% 50.06/33.11 tff(27678,plain,
% 50.06/33.11 (~v130(constB193, bitIndex0)),
% 50.06/33.11 inference(unit_resolution,[status(thm)],[27677, 27658])).
% 50.06/33.11 tff(27679,plain,
% 50.06/33.11 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB193)) | v130(constB193, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB193)) | v130(constB193, bitIndex0))),
% 50.06/33.11 inference(rewrite,[status(thm)],[])).
% 50.06/33.11 tff(27680,plain,
% 50.06/33.11 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB193)) | v130(constB193, bitIndex0))),
% 50.06/33.11 inference(quant_inst,[status(thm)],[])).
% 50.06/33.11 tff(27681,plain,
% 50.06/33.11 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB193)) | v130(constB193, bitIndex0)),
% 50.06/33.11 inference(modus_ponens,[status(thm)],[27680, 27679])).
% 50.06/33.11 tff(27682,plain,
% 50.06/33.11 (~v124(constB193)),
% 50.06/33.11 inference(unit_resolution,[status(thm)],[27681, 3020, 27678])).
% 50.06/33.11 tff(27683,plain,
% 50.06/33.11 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB193)) | v130(constB193, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB193)) | v130(constB193, bitIndex1))),
% 50.06/33.11 inference(rewrite,[status(thm)],[])).
% 50.06/33.11 tff(27684,plain,
% 50.06/33.11 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB193)) | v130(constB193, bitIndex1))),
% 50.06/33.11 inference(quant_inst,[status(thm)],[])).
% 50.06/33.11 tff(27685,plain,
% 50.06/33.11 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB193)) | v130(constB193, bitIndex1)),
% 50.06/33.11 inference(modus_ponens,[status(thm)],[27684, 27683])).
% 50.06/33.11 tff(27686,plain,
% 50.06/33.11 (~v123(constB193)),
% 50.06/33.11 inference(unit_resolution,[status(thm)],[27685, 667, 27671])).
% 50.06/33.11 tff(27687,assumption,(~v121(constB193)), introduced(assumption)).
% 50.06/33.11 tff(27688,assumption,(~v122(constB193)), introduced(assumption)).
% 50.06/33.11 tff(27689,plain,
% 50.06/33.11 (((~![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))),
% 50.06/33.11 inference(rewrite,[status(thm)],[])).
% 50.06/33.11 tff(27690,plain,
% 50.06/33.11 ((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))),
% 50.06/33.11 inference(rewrite,[status(thm)],[])).
% 50.06/33.11 tff(27691,plain,
% 50.06/33.11 (((~![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)))),
% 50.06/33.11 inference(monotonicity,[status(thm)],[27690])).
% 50.06/33.11 tff(27692,plain,
% 50.06/33.11 (((~![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))),
% 50.06/33.11 inference(transitivity,[status(thm)],[27691, 27689])).
% 50.06/33.11 tff(27693,plain,
% 50.06/33.11 ((~![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))),
% 50.06/33.11 inference(quant_inst,[status(thm)],[])).
% 50.06/33.11 tff(27694,plain,
% 50.06/33.11 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB193, bitIndex0) | v124(constB193) | v120(constB193) | v119(constB193) | v121(constB193) | v122(constB193) | v123(constB193)),
% 50.06/33.11 inference(modus_ponens,[status(thm)],[27693, 27692])).
% 50.06/33.11 tff(27695,plain,
% 50.06/33.11 (v130(constB193, bitIndex0) | v124(constB193) | v120(constB193) | v119(constB193) | v123(constB193)),
% 50.06/33.11 inference(unit_resolution,[status(thm)],[27694, 908, 27688, 27687])).
% 50.06/33.11 tff(27696,plain,
% 50.06/33.11 ($false),
% 50.06/33.11 inference(unit_resolution,[status(thm)],[27695, 27686, 27682, 27678, 27675, 27665])).
% 50.06/33.11 tff(27697,plain,(v26(constB193) | v122(constB193) | v121(constB193) | v127(constB193, bitIndex2) | v127(constB193, bitIndex1) | v127(constB193, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 50.06/33.11 tff(27698,plain,
% 50.06/33.11 (v122(constB193)),
% 50.06/33.11 inference(unit_resolution,[status(thm)],[27697, 27617, 27448, 27635, 27657, 27644])).
% 50.06/33.11 tff(27699,plain,
% 50.06/33.11 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB193)) | v130(constB193, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB193)) | v130(constB193, bitIndex2))),
% 50.06/33.11 inference(rewrite,[status(thm)],[])).
% 50.06/33.11 tff(27700,plain,
% 50.06/33.11 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB193)) | v130(constB193, bitIndex2))),
% 50.06/33.11 inference(quant_inst,[status(thm)],[])).
% 50.06/33.11 tff(27701,plain,
% 50.06/33.11 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB193)) | v130(constB193, bitIndex2)),
% 50.06/33.11 inference(modus_ponens,[status(thm)],[27700, 27699])).
% 50.06/33.11 tff(27702,plain,
% 50.06/33.11 ($false),
% 50.06/33.11 inference(unit_resolution,[status(thm)],[27701, 1876, 27698, 27622])).
% 50.06/33.11 tff(27703,plain,(v90(constB194, bitIndex2) | v90(constB194, bitIndex1) | v90(constB194, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 50.06/33.11 tff(27704,plain,
% 50.06/33.11 (v90(constB194, bitIndex2)),
% 50.06/33.11 inference(unit_resolution,[status(thm)],[27703, 27555, 27554])).
% 50.06/33.11 tff(27705,plain,
% 50.06/33.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB193, bitIndex2) | (~nextState(constB193, constB194)) | v100(constB194) | (~v90(constB194, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB193, bitIndex2) | (~nextState(constB193, constB194)) | v100(constB194) | (~v90(constB194, bitIndex2)))),
% 50.06/33.11 inference(rewrite,[status(thm)],[])).
% 50.06/33.11 tff(27706,plain,
% 50.06/33.11 (((~nextState(constB193, constB194)) | v90(constB193, bitIndex2) | v100(constB194) | (~v90(constB194, bitIndex2))) <=> (v90(constB193, bitIndex2) | (~nextState(constB193, constB194)) | v100(constB194) | (~v90(constB194, bitIndex2)))),
% 50.06/33.11 inference(rewrite,[status(thm)],[])).
% 50.06/33.11 tff(27707,plain,
% 50.06/33.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB193, constB194)) | v90(constB193, bitIndex2) | v100(constB194) | (~v90(constB194, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB193, bitIndex2) | (~nextState(constB193, constB194)) | v100(constB194) | (~v90(constB194, bitIndex2))))),
% 50.06/33.11 inference(monotonicity,[status(thm)],[27706])).
% 50.06/33.11 tff(27708,plain,
% 50.06/33.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB193, constB194)) | v90(constB193, bitIndex2) | v100(constB194) | (~v90(constB194, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB193, bitIndex2) | (~nextState(constB193, constB194)) | v100(constB194) | (~v90(constB194, bitIndex2)))),
% 50.06/33.11 inference(transitivity,[status(thm)],[27707, 27705])).
% 50.06/33.11 tff(27709,plain,
% 50.06/33.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB193, constB194)) | v90(constB193, bitIndex2) | v100(constB194) | (~v90(constB194, bitIndex2)))),
% 50.06/33.11 inference(quant_inst,[status(thm)],[])).
% 50.06/33.11 tff(27710,plain,
% 50.06/33.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB193, bitIndex2) | (~nextState(constB193, constB194)) | v100(constB194) | (~v90(constB194, bitIndex2))),
% 50.06/33.11 inference(modus_ponens,[status(thm)],[27709, 27708])).
% 50.06/33.11 tff(27711,plain,
% 50.06/33.11 (v90(constB193, bitIndex2) | v100(constB194) | (~v90(constB194, bitIndex2))),
% 50.06/33.11 inference(unit_resolution,[status(thm)],[27710, 81, 27459])).
% 50.06/33.11 tff(27712,plain,
% 50.06/33.11 (v90(constB193, bitIndex2)),
% 50.06/33.11 inference(unit_resolution,[status(thm)],[27711, 27478, 27704])).
% 50.06/33.11 tff(27713,plain,
% 50.06/33.11 (~v90(constB193, bitIndex1)),
% 50.06/33.11 inference(unit_resolution,[status(thm)],[27573, 27478, 27555])).
% 50.06/33.11 tff(27714,plain,
% 50.06/33.11 (~v90(constB193, bitIndex0)),
% 50.06/33.11 inference(unit_resolution,[status(thm)],[27581, 27478, 27554])).
% 50.06/33.11 tff(27715,plain,
% 50.06/33.11 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB193, bitIndex0) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex2)) | v123(constB193))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB193, bitIndex0) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex2)) | v123(constB193))),
% 50.06/33.11 inference(rewrite,[status(thm)],[])).
% 50.06/33.11 tff(27716,plain,
% 50.06/33.11 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB193, bitIndex0) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex2)) | v123(constB193))),
% 50.06/33.11 inference(quant_inst,[status(thm)],[])).
% 50.06/33.11 tff(27717,plain,
% 50.06/33.11 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB193, bitIndex0) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex2)) | v123(constB193)),
% 50.06/33.11 inference(modus_ponens,[status(thm)],[27716, 27715])).
% 50.06/33.11 tff(27718,plain,
% 50.06/33.11 (v123(constB193)),
% 50.06/33.11 inference(unit_resolution,[status(thm)],[27717, 584, 27714, 27713, 27712])).
% 50.06/33.11 tff(27719,plain,
% 50.06/33.11 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB193) | (~v123(constB193)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB193) | (~v123(constB193)))),
% 50.06/33.11 inference(rewrite,[status(thm)],[])).
% 50.06/33.11 tff(27720,plain,
% 50.06/33.11 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB193) | (~v123(constB193)))),
% 50.06/33.11 inference(quant_inst,[status(thm)],[])).
% 50.06/33.11 tff(27721,plain,
% 50.06/33.11 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB193) | (~v123(constB193))),
% 50.06/33.11 inference(modus_ponens,[status(thm)],[27720, 27719])).
% 50.06/33.11 tff(27722,plain,
% 50.06/33.11 (v115(constB193)),
% 50.06/33.11 inference(unit_resolution,[status(thm)],[27721, 595, 27718])).
% 50.06/33.11 tff(27723,plain,
% 50.06/33.11 ($false),
% 50.06/33.11 inference(unit_resolution,[status(thm)],[27531, 199, 27722, 27528])).
% 50.06/33.11 tff(27724,plain,(v100(constB194) | v90(constB194, bitIndex1) | v90(constB194, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 50.06/33.11 tff(27725,plain,
% 50.06/33.11 (v90(constB194, bitIndex1)),
% 50.06/33.11 inference(unit_resolution,[status(thm)],[27724, 27478, 27554])).
% 50.06/33.11 tff(27726,plain,
% 50.06/33.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB193, bitIndex1) | (~nextState(constB193, constB194)) | v100(constB194) | (~v90(constB194, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB193, bitIndex1) | (~nextState(constB193, constB194)) | v100(constB194) | (~v90(constB194, bitIndex1)))),
% 50.06/33.11 inference(rewrite,[status(thm)],[])).
% 50.06/33.11 tff(27727,plain,
% 50.06/33.11 (((~nextState(constB193, constB194)) | v90(constB193, bitIndex1) | v100(constB194) | (~v90(constB194, bitIndex1))) <=> (v90(constB193, bitIndex1) | (~nextState(constB193, constB194)) | v100(constB194) | (~v90(constB194, bitIndex1)))),
% 50.06/33.11 inference(rewrite,[status(thm)],[])).
% 50.06/33.11 tff(27728,plain,
% 50.06/33.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB193, constB194)) | v90(constB193, bitIndex1) | v100(constB194) | (~v90(constB194, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB193, bitIndex1) | (~nextState(constB193, constB194)) | v100(constB194) | (~v90(constB194, bitIndex1))))),
% 50.06/33.11 inference(monotonicity,[status(thm)],[27727])).
% 50.06/33.11 tff(27729,plain,
% 50.06/33.11 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB193, constB194)) | v90(constB193, bitIndex1) | v100(constB194) | (~v90(constB194, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB193, bitIndex1) | (~nextState(constB193, constB194)) | v100(constB194) | (~v90(constB194, bitIndex1)))),
% 50.06/33.11 inference(transitivity,[status(thm)],[27728, 27726])).
% 50.06/33.11 tff(27730,plain,
% 50.06/33.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB193, constB194)) | v90(constB193, bitIndex1) | v100(constB194) | (~v90(constB194, bitIndex1)))),
% 50.06/33.11 inference(quant_inst,[status(thm)],[])).
% 50.06/33.11 tff(27731,plain,
% 50.06/33.11 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB193, bitIndex1) | (~nextState(constB193, constB194)) | v100(constB194) | (~v90(constB194, bitIndex1))),
% 50.06/33.11 inference(modus_ponens,[status(thm)],[27730, 27729])).
% 50.06/33.11 tff(27732,plain,
% 50.06/33.11 (v90(constB193, bitIndex1) | v100(constB194) | (~v90(constB194, bitIndex1))),
% 50.06/33.11 inference(unit_resolution,[status(thm)],[27731, 102, 27459])).
% 50.06/33.11 tff(27733,plain,
% 50.06/33.11 (v90(constB193, bitIndex1)),
% 50.06/33.11 inference(unit_resolution,[status(thm)],[27732, 27725, 27478])).
% 50.06/33.11 tff(27734,plain,
% 50.06/33.11 (((~![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))),
% 50.06/33.11 inference(rewrite,[status(thm)],[])).
% 50.06/33.11 tff(27735,plain,
% 50.06/33.11 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB193, bitIndex0) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex2)) | v125(constB193))),
% 50.06/33.11 inference(quant_inst,[status(thm)],[])).
% 50.06/33.11 tff(27736,plain,
% 50.06/33.11 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB193, bitIndex0) | (~v90(constB193, bitIndex1)) | (~v90(constB193, bitIndex2)) | v125(constB193)),
% 50.06/33.11 inference(modus_ponens,[status(thm)],[27735, 27734])).
% 50.06/33.11 tff(27737,plain,
% 50.06/33.11 ((~v90(constB193, bitIndex2)) | v125(constB193)),
% 50.06/33.11 inference(unit_resolution,[status(thm)],[27736, 1019, 27714, 27733])).
% 50.06/33.11 tff(27738,plain,
% 50.06/33.11 (~v90(constB193, bitIndex2)),
% 50.06/33.11 inference(unit_resolution,[status(thm)],[27737, 27553])).
% 50.06/33.11 tff(27739,plain,
% 50.06/33.11 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB193, bitIndex0) | (~v90(constB193, bitIndex1)) | v90(constB193, bitIndex2) | v121(constB193))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB193, bitIndex0) | (~v90(constB193, bitIndex1)) | v90(constB193, bitIndex2) | v121(constB193))),
% 50.06/33.11 inference(rewrite,[status(thm)],[])).
% 50.06/33.11 tff(27740,plain,
% 50.06/33.11 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB193, bitIndex0) | (~v90(constB193, bitIndex1)) | v90(constB193, bitIndex2) | v121(constB193))),
% 50.06/33.12 inference(quant_inst,[status(thm)],[])).
% 50.06/33.12 tff(27741,plain,
% 50.06/33.12 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB193, bitIndex0) | (~v90(constB193, bitIndex1)) | v90(constB193, bitIndex2) | v121(constB193)),
% 50.06/33.12 inference(modus_ponens,[status(thm)],[27740, 27739])).
% 50.06/33.12 tff(27742,plain,
% 50.06/33.12 (v90(constB193, bitIndex2) | v121(constB193)),
% 50.06/33.12 inference(unit_resolution,[status(thm)],[27741, 1551, 27714, 27733])).
% 50.06/33.12 tff(27743,plain,
% 50.06/33.12 (v121(constB193)),
% 50.06/33.12 inference(unit_resolution,[status(thm)],[27742, 27738])).
% 50.06/33.12 tff(27744,plain,
% 50.06/33.12 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB193) | (~v121(constB193)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB193) | (~v121(constB193)))),
% 50.06/33.12 inference(rewrite,[status(thm)],[])).
% 50.06/33.12 tff(27745,plain,
% 50.06/33.12 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB193) | (~v121(constB193)))),
% 50.06/33.12 inference(quant_inst,[status(thm)],[])).
% 50.06/33.12 tff(27746,plain,
% 50.06/33.12 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB193) | (~v121(constB193))),
% 50.06/33.12 inference(modus_ponens,[status(thm)],[27745, 27744])).
% 50.06/33.12 tff(27747,plain,
% 50.06/33.12 (v117(constB193)),
% 50.06/33.12 inference(unit_resolution,[status(thm)],[27746, 1562, 27743])).
% 50.06/33.12 tff(27748,plain,
% 50.06/33.12 ($false),
% 50.06/33.12 inference(unit_resolution,[status(thm)],[27539, 177, 27536, 27747])).
% 50.06/33.12 tff(27749,plain,(v100(constB194) | v90(constB194, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 50.06/33.12 tff(27750,plain,
% 50.06/33.12 (v90(constB194, bitIndex0)),
% 50.06/33.12 inference(unit_resolution,[status(thm)],[27749, 27478])).
% 50.06/33.12 tff(27751,assumption,(v90(constB193, bitIndex1)), introduced(assumption)).
% 50.06/33.12 tff(27752,assumption,(v90(constB194, bitIndex0)), introduced(assumption)).
% 50.06/33.12 tff(27753,plain,
% 50.06/33.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB193, bitIndex0) | (~nextState(constB193, constB194)) | v100(constB194) | (~v90(constB194, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB193, bitIndex0) | (~nextState(constB193, constB194)) | v100(constB194) | (~v90(constB194, bitIndex0)))),
% 50.06/33.12 inference(rewrite,[status(thm)],[])).
% 50.06/33.12 tff(27754,plain,
% 50.06/33.12 (((~nextState(constB193, constB194)) | v90(constB193, bitIndex0) | v100(constB194) | (~v90(constB194, bitIndex0))) <=> (v90(constB193, bitIndex0) | (~nextState(constB193, constB194)) | v100(constB194) | (~v90(constB194, bitIndex0)))),
% 50.06/33.12 inference(rewrite,[status(thm)],[])).
% 50.06/33.12 tff(27755,plain,
% 50.06/33.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB193, constB194)) | v90(constB193, bitIndex0) | v100(constB194) | (~v90(constB194, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB193, bitIndex0) | (~nextState(constB193, constB194)) | v100(constB194) | (~v90(constB194, bitIndex0))))),
% 50.06/33.12 inference(monotonicity,[status(thm)],[27754])).
% 50.06/33.12 tff(27756,plain,
% 50.06/33.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB193, constB194)) | v90(constB193, bitIndex0) | v100(constB194) | (~v90(constB194, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB193, bitIndex0) | (~nextState(constB193, constB194)) | v100(constB194) | (~v90(constB194, bitIndex0)))),
% 50.06/33.12 inference(transitivity,[status(thm)],[27755, 27753])).
% 50.06/33.12 tff(27757,plain,
% 50.06/33.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB193, constB194)) | v90(constB193, bitIndex0) | v100(constB194) | (~v90(constB194, bitIndex0)))),
% 50.06/33.12 inference(quant_inst,[status(thm)],[])).
% 50.06/33.12 tff(27758,plain,
% 50.06/33.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB193, bitIndex0) | (~nextState(constB193, constB194)) | v100(constB194) | (~v90(constB194, bitIndex0))),
% 50.06/33.12 inference(modus_ponens,[status(thm)],[27757, 27756])).
% 50.06/33.12 tff(27759,plain,
% 50.06/33.12 (v90(constB193, bitIndex0) | v100(constB194) | (~v90(constB194, bitIndex0))),
% 50.06/33.12 inference(unit_resolution,[status(thm)],[27758, 123, 27459])).
% 50.06/33.12 tff(27760,plain,
% 50.06/33.12 (v90(constB193, bitIndex0)),
% 50.06/33.12 inference(unit_resolution,[status(thm)],[27759, 27478, 27752])).
% 50.06/33.12 tff(27761,plain,
% 50.06/33.12 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB193, bitIndex0)) | (~v90(constB193, bitIndex1)) | v90(constB193, bitIndex2) | v122(constB193))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB193, bitIndex0)) | (~v90(constB193, bitIndex1)) | v90(constB193, bitIndex2) | v122(constB193))),
% 50.06/33.12 inference(rewrite,[status(thm)],[])).
% 50.06/33.12 tff(27762,plain,
% 50.06/33.12 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB193, bitIndex0)) | (~v90(constB193, bitIndex1)) | v90(constB193, bitIndex2) | v122(constB193))),
% 50.06/33.12 inference(quant_inst,[status(thm)],[])).
% 50.06/33.12 tff(27763,plain,
% 50.06/33.12 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB193, bitIndex0)) | (~v90(constB193, bitIndex1)) | v90(constB193, bitIndex2) | v122(constB193)),
% 50.06/33.12 inference(modus_ponens,[status(thm)],[27762, 27761])).
% 50.06/33.12 tff(27764,plain,
% 50.06/33.12 ((~v90(constB193, bitIndex0)) | (~v90(constB193, bitIndex1)) | v122(constB193)),
% 50.06/33.12 inference(unit_resolution,[status(thm)],[27763, 1789, 27549])).
% 50.06/33.12 tff(27765,plain,
% 50.06/33.12 (v122(constB193)),
% 50.06/33.12 inference(unit_resolution,[status(thm)],[27764, 27760, 27751])).
% 50.06/33.12 tff(27766,plain,
% 50.06/33.12 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB193) | (~v122(constB193)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB193) | (~v122(constB193)))),
% 50.06/33.12 inference(rewrite,[status(thm)],[])).
% 50.06/33.12 tff(27767,plain,
% 50.06/33.12 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB193) | (~v122(constB193)))),
% 50.06/33.12 inference(quant_inst,[status(thm)],[])).
% 50.06/33.12 tff(27768,plain,
% 50.06/33.12 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB193) | (~v122(constB193))),
% 50.06/33.12 inference(modus_ponens,[status(thm)],[27767, 27766])).
% 50.06/33.12 tff(27769,plain,
% 50.06/33.12 (v116(constB193)),
% 50.06/33.12 inference(unit_resolution,[status(thm)],[27768, 1800, 27765])).
% 50.06/33.12 tff(27770,plain,
% 50.06/33.12 (v115(constB193)),
% 50.06/33.12 inference(unit_resolution,[status(thm)],[27535, 188, 27769])).
% 50.06/33.12 tff(27771,plain,
% 50.06/33.12 ($false),
% 50.06/33.12 inference(unit_resolution,[status(thm)],[27531, 199, 27528, 27770])).
% 50.06/33.12 tff(27772,plain,(v100(constB194) | (~v90(constB193, bitIndex1)) | v90(constB193, bitIndex2) | (~v90(constB194, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 50.06/33.12 tff(27773,plain,
% 50.06/33.12 (~v90(constB193, bitIndex1)),
% 50.06/33.12 inference(unit_resolution,[status(thm)],[27772, 27549, 27478, 27750])).
% 50.06/33.12 tff(27774,plain,
% 50.06/33.12 (v90(constB193, bitIndex0)),
% 50.06/33.12 inference(unit_resolution,[status(thm)],[27759, 27478, 27750])).
% 50.06/33.12 tff(27775,plain,
% 50.06/33.12 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB193, bitIndex0)) | v90(constB193, bitIndex1) | v90(constB193, bitIndex2) | v120(constB193))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB193, bitIndex0)) | v90(constB193, bitIndex1) | v90(constB193, bitIndex2) | v120(constB193))),
% 50.06/33.12 inference(rewrite,[status(thm)],[])).
% 50.06/33.12 tff(27776,plain,
% 50.06/33.12 (((~v90(constB193, bitIndex0)) | v120(constB193) | v90(constB193, bitIndex1) | v90(constB193, bitIndex2)) <=> ((~v90(constB193, bitIndex0)) | v90(constB193, bitIndex1) | v90(constB193, bitIndex2) | v120(constB193))),
% 50.06/33.12 inference(rewrite,[status(thm)],[])).
% 50.06/33.12 tff(27777,plain,
% 50.06/33.12 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB193, bitIndex0)) | v120(constB193) | v90(constB193, bitIndex1) | v90(constB193, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB193, bitIndex0)) | v90(constB193, bitIndex1) | v90(constB193, bitIndex2) | v120(constB193)))),
% 50.06/33.12 inference(monotonicity,[status(thm)],[27776])).
% 50.06/33.12 tff(27778,plain,
% 50.06/33.12 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB193, bitIndex0)) | v120(constB193) | v90(constB193, bitIndex1) | v90(constB193, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB193, bitIndex0)) | v90(constB193, bitIndex1) | v90(constB193, bitIndex2) | v120(constB193))),
% 50.06/33.12 inference(transitivity,[status(thm)],[27777, 27775])).
% 50.06/33.12 tff(27779,plain,
% 50.06/33.12 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB193, bitIndex0)) | v120(constB193) | v90(constB193, bitIndex1) | v90(constB193, bitIndex2))),
% 50.06/33.12 inference(quant_inst,[status(thm)],[])).
% 50.06/33.12 tff(27780,plain,
% 50.06/33.12 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB193, bitIndex0)) | v90(constB193, bitIndex1) | v90(constB193, bitIndex2) | v120(constB193)),
% 50.06/33.12 inference(modus_ponens,[status(thm)],[27779, 27778])).
% 50.06/33.12 tff(27781,plain,
% 50.06/33.12 (v90(constB193, bitIndex1) | v90(constB193, bitIndex2) | v120(constB193)),
% 50.06/33.12 inference(unit_resolution,[status(thm)],[27780, 1285, 27774])).
% 50.06/33.12 tff(27782,plain,
% 50.06/33.12 ($false),
% 50.06/33.12 inference(unit_resolution,[status(thm)],[27781, 27773, 27549, 27548])).
% 50.06/33.12 tff(27783,plain,(v90(constB193, bitIndex2) | v100(constB194)), inference(lemma,lemma(discharge,[]))).
% 50.06/33.12 tff(27784,plain,
% 50.06/33.12 (v90(constB193, bitIndex2)),
% 50.06/33.12 inference(unit_resolution,[status(thm)],[27783, 27478])).
% 50.06/33.12 tff(27785,plain,
% 50.06/33.12 (((~![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)))),
% 50.06/33.12 inference(rewrite,[status(thm)],[])).
% 50.06/33.12 tff(27786,plain,
% 50.06/33.12 (((~nextState(constB192, constB193)) | v90(constB192, bitIndex2) | v100(constB193) | (~v90(constB193, bitIndex2))) <=> (v90(constB192, bitIndex2) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, bitIndex2)))),
% 50.06/33.12 inference(rewrite,[status(thm)],[])).
% 50.06/33.12 tff(27787,plain,
% 50.06/33.12 (((~![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))))),
% 50.06/33.12 inference(monotonicity,[status(thm)],[27786])).
% 50.06/33.12 tff(27788,plain,
% 50.06/33.12 (((~![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)))),
% 50.06/33.12 inference(transitivity,[status(thm)],[27787, 27785])).
% 50.06/33.12 tff(27789,plain,
% 50.06/33.12 ((~![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)))),
% 50.06/33.12 inference(quant_inst,[status(thm)],[])).
% 50.06/33.12 tff(27790,plain,
% 50.06/33.12 ((~![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))),
% 50.06/33.12 inference(modus_ponens,[status(thm)],[27789, 27788])).
% 50.06/33.12 tff(27791,plain,
% 50.06/33.12 (v90(constB192, bitIndex2) | v100(constB193) | (~v90(constB193, bitIndex2))),
% 50.06/33.12 inference(unit_resolution,[status(thm)],[27790, 81, 27328])).
% 50.06/33.12 tff(27792,plain,
% 50.06/33.12 (v90(constB192, bitIndex2) | (~v90(constB193, bitIndex2))),
% 50.06/33.12 inference(unit_resolution,[status(thm)],[27791, 27340])).
% 50.06/33.12 tff(27793,plain,
% 50.06/33.12 (v90(constB192, bitIndex2)),
% 50.06/33.12 inference(unit_resolution,[status(thm)],[27792, 27784])).
% 50.06/33.12 tff(27794,plain,
% 50.06/33.12 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB189, bitIndex0) | (~v122(constB189)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB189, bitIndex0) | (~v122(constB189)))),
% 50.06/33.12 inference(rewrite,[status(thm)],[])).
% 50.06/33.12 tff(27795,plain,
% 50.06/33.12 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB189, bitIndex0) | (~v122(constB189)))),
% 50.06/33.12 inference(quant_inst,[status(thm)],[])).
% 50.06/33.12 tff(27796,plain,
% 50.06/33.12 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB189, bitIndex0) | (~v122(constB189))),
% 50.06/33.12 inference(modus_ponens,[status(thm)],[27795, 27794])).
% 50.06/33.12 tff(27797,plain,
% 50.06/33.12 (~v122(constB189)),
% 50.06/33.12 inference(unit_resolution,[status(thm)],[27796, 2921, 27473])).
% 50.06/33.12 tff(27798,plain,
% 50.06/33.12 (((~![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)))),
% 50.06/33.12 inference(rewrite,[status(thm)],[])).
% 50.06/33.12 tff(27799,plain,
% 50.06/33.12 (((~nextState(constB192, constB193)) | v90(constB192, bitIndex0) | v100(constB193) | (~v90(constB193, bitIndex0))) <=> (v90(constB192, bitIndex0) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, bitIndex0)))),
% 50.06/33.12 inference(rewrite,[status(thm)],[])).
% 50.06/33.12 tff(27800,plain,
% 50.06/33.12 (((~![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))))),
% 50.06/33.12 inference(monotonicity,[status(thm)],[27799])).
% 50.06/33.12 tff(27801,plain,
% 50.06/33.12 (((~![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)))),
% 50.06/33.12 inference(transitivity,[status(thm)],[27800, 27798])).
% 50.06/33.12 tff(27802,plain,
% 50.06/33.12 ((~![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)))),
% 50.06/33.12 inference(quant_inst,[status(thm)],[])).
% 50.06/33.12 tff(27803,plain,
% 50.06/33.12 ((~![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))),
% 50.06/33.12 inference(modus_ponens,[status(thm)],[27802, 27801])).
% 50.06/33.12 tff(27804,plain,
% 50.06/33.12 (v90(constB192, bitIndex0) | v100(constB193) | (~v90(constB193, bitIndex0))),
% 50.06/33.12 inference(unit_resolution,[status(thm)],[27803, 123, 27328])).
% 50.06/33.12 tff(27805,plain,
% 50.06/33.12 (v90(constB192, bitIndex0) | (~v90(constB193, bitIndex0))),
% 50.06/33.12 inference(unit_resolution,[status(thm)],[27804, 27340])).
% 50.06/33.12 tff(27806,plain,
% 50.06/33.12 (v90(constB192, bitIndex0)),
% 50.06/33.12 inference(unit_resolution,[status(thm)],[27805, 27774])).
% 50.06/33.12 tff(27807,plain,
% 50.06/33.12 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB193) | (~v124(constB193)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB193) | (~v124(constB193)))),
% 50.06/33.12 inference(rewrite,[status(thm)],[])).
% 50.06/33.12 tff(27808,plain,
% 50.06/33.12 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB193) | (~v124(constB193)))),
% 50.06/33.12 inference(quant_inst,[status(thm)],[])).
% 50.06/33.12 tff(27809,plain,
% 50.06/33.12 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB193) | (~v124(constB193))),
% 50.06/33.12 inference(modus_ponens,[status(thm)],[27808, 27807])).
% 50.06/33.12 tff(27810,plain,
% 50.06/33.12 (~v124(constB193)),
% 50.06/33.12 inference(unit_resolution,[status(thm)],[27809, 2631, 27528])).
% 50.06/33.12 tff(27811,plain,
% 50.06/33.12 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB193, bitIndex0)) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex2)) | v124(constB193))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB193, bitIndex0)) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex2)) | v124(constB193))),
% 50.06/33.12 inference(rewrite,[status(thm)],[])).
% 50.06/33.12 tff(27812,plain,
% 50.06/33.12 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB193, bitIndex0)) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex2)) | v124(constB193))),
% 50.06/33.12 inference(quant_inst,[status(thm)],[])).
% 50.06/33.12 tff(27813,plain,
% 50.06/33.12 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB193, bitIndex0)) | v90(constB193, bitIndex1) | (~v90(constB193, bitIndex2)) | v124(constB193)),
% 50.06/33.12 inference(modus_ponens,[status(thm)],[27812, 27811])).
% 50.06/33.12 tff(27814,plain,
% 50.06/33.12 (v90(constB193, bitIndex1) | (~v90(constB193, bitIndex2)) | v124(constB193)),
% 50.06/33.12 inference(unit_resolution,[status(thm)],[27813, 2663, 27774])).
% 50.06/33.12 tff(27815,plain,
% 50.06/33.12 (v90(constB193, bitIndex1)),
% 50.06/33.12 inference(unit_resolution,[status(thm)],[27814, 27784, 27810])).
% 50.06/33.12 tff(27816,plain,
% 50.06/33.12 (((~![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)))),
% 50.06/33.12 inference(rewrite,[status(thm)],[])).
% 50.06/33.12 tff(27817,plain,
% 50.06/33.12 (((~nextState(constB192, constB193)) | v90(constB192, bitIndex1) | v100(constB193) | (~v90(constB193, bitIndex1))) <=> (v90(constB192, bitIndex1) | (~nextState(constB192, constB193)) | v100(constB193) | (~v90(constB193, bitIndex1)))),
% 50.06/33.12 inference(rewrite,[status(thm)],[])).
% 50.06/33.12 tff(27818,plain,
% 50.06/33.12 (((~![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))))),
% 50.06/33.12 inference(monotonicity,[status(thm)],[27817])).
% 50.06/33.12 tff(27819,plain,
% 50.06/33.12 (((~![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)))),
% 50.06/33.12 inference(transitivity,[status(thm)],[27818, 27816])).
% 50.06/33.12 tff(27820,plain,
% 50.06/33.12 ((~![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)))),
% 50.06/33.12 inference(quant_inst,[status(thm)],[])).
% 50.06/33.12 tff(27821,plain,
% 50.06/33.12 ((~![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))),
% 50.06/33.12 inference(modus_ponens,[status(thm)],[27820, 27819])).
% 50.06/33.12 tff(27822,plain,
% 50.06/33.12 (v90(constB192, bitIndex1) | v100(constB193) | (~v90(constB193, bitIndex1))),
% 50.06/33.12 inference(unit_resolution,[status(thm)],[27821, 102, 27328])).
% 50.06/33.12 tff(27823,plain,
% 50.06/33.12 (v90(constB192, bitIndex1) | (~v90(constB193, bitIndex1))),
% 50.06/33.12 inference(unit_resolution,[status(thm)],[27822, 27340])).
% 50.06/33.12 tff(27824,plain,
% 50.06/33.12 (v90(constB192, bitIndex1)),
% 50.06/33.12 inference(unit_resolution,[status(thm)],[27823, 27815])).
% 50.06/33.12 tff(27825,assumption,(v100(constB192)), introduced(assumption)).
% 50.06/33.12 tff(27826,assumption,(v90(constB192, bitIndex2)), introduced(assumption)).
% 50.06/33.12 tff(27827,plain,
% 50.06/33.12 (((~![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)))),
% 50.06/33.12 inference(rewrite,[status(thm)],[])).
% 50.06/33.12 tff(27828,plain,
% 50.06/33.12 (((~v90(constB192, bitIndex2)) | (~v100(constB192)) | v129(constB192, bitIndex2)) <=> ((~v90(constB192, bitIndex2)) | v129(constB192, bitIndex2) | (~v100(constB192)))),
% 50.06/33.12 inference(rewrite,[status(thm)],[])).
% 50.06/33.12 tff(27829,plain,
% 50.06/33.12 (((~![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))))),
% 50.06/33.12 inference(monotonicity,[status(thm)],[27828])).
% 50.06/33.12 tff(27830,plain,
% 50.06/33.12 (((~![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)))),
% 50.06/33.12 inference(transitivity,[status(thm)],[27829, 27827])).
% 50.06/33.12 tff(27831,plain,
% 50.06/33.12 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB192, bitIndex2)) | (~v100(constB192)) | v129(constB192, bitIndex2))),
% 50.06/33.12 inference(quant_inst,[status(thm)],[])).
% 50.06/33.12 tff(27832,plain,
% 50.06/33.12 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB192, bitIndex2)) | v129(constB192, bitIndex2) | (~v100(constB192))),
% 50.06/33.12 inference(modus_ponens,[status(thm)],[27831, 27830])).
% 50.06/33.12 tff(27833,plain,
% 50.06/33.12 (v129(constB192, bitIndex2) | (~v100(constB192))),
% 50.06/33.12 inference(unit_resolution,[status(thm)],[27832, 1258, 27826])).
% 50.06/33.12 tff(27834,plain,
% 50.06/33.12 (v129(constB192, bitIndex2)),
% 50.06/33.12 inference(unit_resolution,[status(thm)],[27833, 27825])).
% 50.06/33.12 tff(27835,plain,
% 50.06/33.12 (((~![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)))),
% 50.06/33.12 inference(rewrite,[status(thm)],[])).
% 50.06/33.12 tff(27836,plain,
% 50.06/33.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB191, constB192)) | v127(constB191, bitIndex2) | (~v129(constB192, bitIndex2)))),
% 50.06/33.12 inference(quant_inst,[status(thm)],[])).
% 50.06/33.12 tff(27837,plain,
% 50.06/33.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB191, constB192)) | v127(constB191, bitIndex2) | (~v129(constB192, bitIndex2))),
% 50.06/33.12 inference(modus_ponens,[status(thm)],[27836, 27835])).
% 50.06/33.12 tff(27838,plain,
% 50.06/33.12 (v127(constB191, bitIndex2) | (~v129(constB192, bitIndex2))),
% 50.06/33.12 inference(unit_resolution,[status(thm)],[27837, 1243, 27051])).
% 50.06/33.12 tff(27839,plain,
% 50.06/33.12 (v127(constB191, bitIndex2)),
% 50.06/33.12 inference(unit_resolution,[status(thm)],[27838, 27834])).
% 50.06/33.12 tff(27840,plain,
% 50.06/33.12 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB191)) | (~v127(constB191, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB191)) | (~v127(constB191, bitIndex2)))),
% 50.06/33.12 inference(rewrite,[status(thm)],[])).
% 50.06/33.12 tff(27841,plain,
% 50.06/33.12 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | ((~v26(constB191)) | (~v127(constB191, bitIndex2)))),
% 50.06/33.12 inference(quant_inst,[status(thm)],[])).
% 50.06/33.12 tff(27842,plain,
% 50.06/33.12 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v127(VarCurr, bitIndex2)))) | (~v26(constB191)) | (~v127(constB191, bitIndex2))),
% 50.06/33.12 inference(modus_ponens,[status(thm)],[27841, 27840])).
% 50.06/33.12 tff(27843,plain,
% 50.06/33.12 (~v26(constB191)),
% 50.06/33.12 inference(unit_resolution,[status(thm)],[27842, 1228, 27839])).
% 50.06/33.12 tff(27844,assumption,(v90(constB192, bitIndex1)), introduced(assumption)).
% 50.06/33.12 tff(27845,plain,
% 50.06/33.12 (((~![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)))),
% 50.06/33.12 inference(rewrite,[status(thm)],[])).
% 50.06/33.12 tff(27846,plain,
% 50.06/33.12 (((~v90(constB192, bitIndex1)) | (~v100(constB192)) | v129(constB192, bitIndex1)) <=> ((~v90(constB192, bitIndex1)) | v129(constB192, bitIndex1) | (~v100(constB192)))),
% 50.06/33.12 inference(rewrite,[status(thm)],[])).
% 50.06/33.12 tff(27847,plain,
% 50.06/33.12 (((~![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))))),
% 50.06/33.12 inference(monotonicity,[status(thm)],[27846])).
% 50.06/33.12 tff(27848,plain,
% 50.06/33.12 (((~![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)))),
% 50.06/33.12 inference(transitivity,[status(thm)],[27847, 27845])).
% 50.06/33.12 tff(27849,plain,
% 50.06/33.12 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB192, bitIndex1)) | (~v100(constB192)) | v129(constB192, bitIndex1))),
% 50.06/33.12 inference(quant_inst,[status(thm)],[])).
% 50.06/33.12 tff(27850,plain,
% 50.06/33.12 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB192, bitIndex1)) | v129(constB192, bitIndex1) | (~v100(constB192))),
% 50.06/33.12 inference(modus_ponens,[status(thm)],[27849, 27848])).
% 50.06/33.12 tff(27851,plain,
% 50.06/33.12 (v129(constB192, bitIndex1) | (~v100(constB192))),
% 50.06/33.12 inference(unit_resolution,[status(thm)],[27850, 483, 27844])).
% 50.06/33.12 tff(27852,plain,
% 50.06/33.12 (v129(constB192, bitIndex1)),
% 50.06/33.12 inference(unit_resolution,[status(thm)],[27851, 27825])).
% 50.06/33.12 tff(27853,plain,
% 50.06/33.12 (v127(constB191, bitIndex1)),
% 50.06/33.12 inference(unit_resolution,[status(thm)],[27055, 27852])).
% 50.06/33.12 tff(27854,plain,
% 50.06/33.12 (v130(constB191, bitIndex1)),
% 50.06/33.12 inference(unit_resolution,[status(thm)],[27046, 450, 27853, 27843])).
% 50.06/33.12 tff(27855,plain,
% 50.06/33.12 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | ((~v127(constB191, bitIndex2)) | v26(constB191) | v130(constB191, bitIndex2))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB191, bitIndex2)) | v26(constB191) | v130(constB191, bitIndex2))),
% 50.06/33.12 inference(rewrite,[status(thm)],[])).
% 50.06/33.12 tff(27856,plain,
% 50.06/33.12 ((v26(constB191) | v130(constB191, bitIndex2) | (~v127(constB191, bitIndex2))) <=> ((~v127(constB191, bitIndex2)) | v26(constB191) | v130(constB191, bitIndex2))),
% 50.06/33.12 inference(rewrite,[status(thm)],[])).
% 50.06/33.12 tff(27857,plain,
% 50.06/33.12 (((~![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)))) | ((~v127(constB191, bitIndex2)) | v26(constB191) | v130(constB191, bitIndex2)))),
% 50.06/33.12 inference(monotonicity,[status(thm)],[27856])).
% 50.06/33.12 tff(27858,plain,
% 50.06/33.12 (((~![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)))) | (~v127(constB191, bitIndex2)) | v26(constB191) | v130(constB191, bitIndex2))),
% 50.06/33.12 inference(transitivity,[status(thm)],[27857, 27855])).
% 50.06/33.12 tff(27859,plain,
% 50.06/33.12 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB191) | v130(constB191, bitIndex2) | (~v127(constB191, bitIndex2)))),
% 50.06/33.12 inference(quant_inst,[status(thm)],[])).
% 50.06/33.12 tff(27860,plain,
% 50.06/33.12 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB191, bitIndex2)) | v26(constB191) | v130(constB191, bitIndex2)),
% 50.06/33.12 inference(modus_ponens,[status(thm)],[27859, 27858])).
% 50.06/33.12 tff(27861,plain,
% 50.06/33.12 (v130(constB191, bitIndex2)),
% 50.06/33.12 inference(unit_resolution,[status(thm)],[27860, 1210, 27839, 27843])).
% 50.06/33.12 tff(27862,plain,
% 50.06/33.12 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB191)) | (~v130(constB191, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB191)) | (~v130(constB191, bitIndex2)))),
% 50.06/33.12 inference(rewrite,[status(thm)],[])).
% 50.06/33.12 tff(27863,plain,
% 50.06/33.12 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB191)) | (~v130(constB191, bitIndex2)))),
% 50.06/33.13 inference(quant_inst,[status(thm)],[])).
% 50.06/33.13 tff(27864,plain,
% 50.06/33.13 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB191)) | (~v130(constB191, bitIndex2))),
% 50.06/33.13 inference(modus_ponens,[status(thm)],[27863, 27862])).
% 50.06/33.13 tff(27865,plain,
% 50.06/33.13 (~v120(constB191)),
% 50.06/33.13 inference(unit_resolution,[status(thm)],[27864, 1383, 27861])).
% 50.06/33.13 tff(27866,plain,
% 50.06/33.13 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB191)) | (~v130(constB191, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB191)) | (~v130(constB191, bitIndex2)))),
% 50.06/33.13 inference(rewrite,[status(thm)],[])).
% 50.06/33.13 tff(27867,plain,
% 50.06/33.13 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB191)) | (~v130(constB191, bitIndex2)))),
% 50.06/33.13 inference(quant_inst,[status(thm)],[])).
% 50.06/33.13 tff(27868,plain,
% 50.06/33.13 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB191)) | (~v130(constB191, bitIndex2))),
% 50.06/33.13 inference(modus_ponens,[status(thm)],[27867, 27866])).
% 50.06/33.13 tff(27869,plain,
% 50.06/33.13 (~v124(constB191)),
% 50.06/33.13 inference(unit_resolution,[status(thm)],[27868, 2853, 27861])).
% 50.06/33.13 tff(27870,assumption,(v90(constB192, bitIndex0)), introduced(assumption)).
% 50.06/33.13 tff(27871,plain,
% 50.06/33.13 (((~![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)))),
% 50.06/33.13 inference(rewrite,[status(thm)],[])).
% 50.06/33.13 tff(27872,plain,
% 50.06/33.13 (((~v90(constB192, bitIndex0)) | (~v100(constB192)) | v129(constB192, bitIndex0)) <=> ((~v90(constB192, bitIndex0)) | v129(constB192, bitIndex0) | (~v100(constB192)))),
% 50.06/33.13 inference(rewrite,[status(thm)],[])).
% 50.06/33.13 tff(27873,plain,
% 50.06/33.13 (((~![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))))),
% 50.06/33.13 inference(monotonicity,[status(thm)],[27872])).
% 50.06/33.13 tff(27874,plain,
% 50.06/33.13 (((~![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)))),
% 50.06/33.13 inference(transitivity,[status(thm)],[27873, 27871])).
% 50.06/33.13 tff(27875,plain,
% 50.06/33.13 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB192, bitIndex0)) | (~v100(constB192)) | v129(constB192, bitIndex0))),
% 50.06/33.13 inference(quant_inst,[status(thm)],[])).
% 50.06/33.13 tff(27876,plain,
% 50.06/33.13 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB192, bitIndex0)) | v129(constB192, bitIndex0) | (~v100(constB192))),
% 50.06/33.13 inference(modus_ponens,[status(thm)],[27875, 27874])).
% 50.06/33.13 tff(27877,plain,
% 50.06/33.13 (v129(constB192, bitIndex0) | (~v100(constB192))),
% 50.06/33.13 inference(unit_resolution,[status(thm)],[27876, 557, 27870])).
% 50.06/33.13 tff(27878,plain,
% 50.06/33.13 (v129(constB192, bitIndex0)),
% 50.06/33.13 inference(unit_resolution,[status(thm)],[27877, 27825])).
% 50.06/33.13 tff(27879,plain,
% 50.06/33.13 (((~![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)))),
% 50.06/33.13 inference(rewrite,[status(thm)],[])).
% 50.06/33.13 tff(27880,plain,
% 50.06/33.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB191, constB192)) | v127(constB191, bitIndex0) | (~v129(constB192, bitIndex0)))),
% 50.06/33.13 inference(quant_inst,[status(thm)],[])).
% 50.06/33.13 tff(27881,plain,
% 50.06/33.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB191, constB192)) | v127(constB191, bitIndex0) | (~v129(constB192, bitIndex0))),
% 50.06/33.13 inference(modus_ponens,[status(thm)],[27880, 27879])).
% 50.06/33.13 tff(27882,plain,
% 50.06/33.13 (v127(constB191, bitIndex0) | (~v129(constB192, bitIndex0))),
% 50.06/33.13 inference(unit_resolution,[status(thm)],[27881, 542, 27051])).
% 50.06/33.13 tff(27883,plain,
% 50.06/33.13 (v127(constB191, bitIndex0)),
% 50.06/33.13 inference(unit_resolution,[status(thm)],[27882, 27878])).
% 50.06/33.13 tff(27884,plain,
% 50.06/33.13 (((~![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))),
% 50.06/33.13 inference(rewrite,[status(thm)],[])).
% 50.06/33.13 tff(27885,plain,
% 50.06/33.13 ((v26(constB191) | v130(constB191, bitIndex0) | (~v127(constB191, bitIndex0))) <=> ((~v127(constB191, bitIndex0)) | v26(constB191) | v130(constB191, bitIndex0))),
% 50.06/33.13 inference(rewrite,[status(thm)],[])).
% 50.06/33.13 tff(27886,plain,
% 50.06/33.13 (((~![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)))),
% 50.06/33.13 inference(monotonicity,[status(thm)],[27885])).
% 50.06/33.13 tff(27887,plain,
% 50.06/33.13 (((~![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))),
% 50.06/33.13 inference(transitivity,[status(thm)],[27886, 27884])).
% 50.06/33.13 tff(27888,plain,
% 50.06/33.13 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB191) | v130(constB191, bitIndex0) | (~v127(constB191, bitIndex0)))),
% 50.06/33.13 inference(quant_inst,[status(thm)],[])).
% 50.06/33.13 tff(27889,plain,
% 50.06/33.13 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB191, bitIndex0)) | v26(constB191) | v130(constB191, bitIndex0)),
% 50.06/33.13 inference(modus_ponens,[status(thm)],[27888, 27887])).
% 50.06/33.13 tff(27890,plain,
% 50.06/33.13 (v130(constB191, bitIndex0)),
% 50.06/33.13 inference(unit_resolution,[status(thm)],[27889, 524, 27883, 27843])).
% 50.06/33.13 tff(27891,plain,
% 50.06/33.13 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB191)) | (~v130(constB191, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB191)) | (~v130(constB191, bitIndex0)))),
% 50.06/33.13 inference(rewrite,[status(thm)],[])).
% 50.06/33.13 tff(27892,plain,
% 50.06/33.13 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB191)) | (~v130(constB191, bitIndex0)))),
% 50.06/33.13 inference(quant_inst,[status(thm)],[])).
% 50.06/33.13 tff(27893,plain,
% 50.06/33.13 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB191)) | (~v130(constB191, bitIndex0))),
% 50.06/33.13 inference(modus_ponens,[status(thm)],[27892, 27891])).
% 50.06/33.13 tff(27894,plain,
% 50.06/33.13 (~v122(constB191)),
% 50.06/33.13 inference(unit_resolution,[status(thm)],[27893, 1997, 27890])).
% 50.06/33.13 tff(27895,plain,
% 50.06/33.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB191, bitIndex0) | (~nextState(constB191, constB192)) | v100(constB192) | (~v90(constB192, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB191, bitIndex0) | (~nextState(constB191, constB192)) | v100(constB192) | (~v90(constB192, bitIndex0)))),
% 50.06/33.13 inference(rewrite,[status(thm)],[])).
% 50.06/33.13 tff(27896,plain,
% 50.06/33.13 (((~nextState(constB191, constB192)) | v90(constB191, bitIndex0) | v100(constB192) | (~v90(constB192, bitIndex0))) <=> (v90(constB191, bitIndex0) | (~nextState(constB191, constB192)) | v100(constB192) | (~v90(constB192, bitIndex0)))),
% 50.06/33.13 inference(rewrite,[status(thm)],[])).
% 50.06/33.13 tff(27897,plain,
% 50.06/33.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB191, constB192)) | v90(constB191, bitIndex0) | v100(constB192) | (~v90(constB192, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB191, bitIndex0) | (~nextState(constB191, constB192)) | v100(constB192) | (~v90(constB192, bitIndex0))))),
% 50.06/33.13 inference(monotonicity,[status(thm)],[27896])).
% 50.06/33.13 tff(27898,plain,
% 50.06/33.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB191, constB192)) | v90(constB191, bitIndex0) | v100(constB192) | (~v90(constB192, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB191, bitIndex0) | (~nextState(constB191, constB192)) | v100(constB192) | (~v90(constB192, bitIndex0)))),
% 50.06/33.13 inference(transitivity,[status(thm)],[27897, 27895])).
% 50.06/33.13 tff(27899,plain,
% 50.06/33.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB191, constB192)) | v90(constB191, bitIndex0) | v100(constB192) | (~v90(constB192, bitIndex0)))),
% 50.06/33.13 inference(quant_inst,[status(thm)],[])).
% 50.06/33.13 tff(27900,plain,
% 50.06/33.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB191, bitIndex0) | (~nextState(constB191, constB192)) | v100(constB192) | (~v90(constB192, bitIndex0))),
% 50.06/33.13 inference(modus_ponens,[status(thm)],[27899, 27898])).
% 50.06/33.13 tff(27901,plain,
% 50.06/33.13 (v90(constB191, bitIndex0) | v100(constB192) | (~v90(constB192, bitIndex0))),
% 50.06/33.13 inference(unit_resolution,[status(thm)],[27900, 123, 27051])).
% 50.06/33.13 tff(27902,plain,
% 50.06/33.13 (v100(constB192)),
% 50.06/33.13 inference(unit_resolution,[status(thm)],[27901, 27145, 27870])).
% 50.06/33.13 tff(27903,plain,
% 50.06/33.13 (v129(constB192, bitIndex2)),
% 50.06/33.13 inference(unit_resolution,[status(thm)],[27833, 27902])).
% 50.06/33.13 tff(27904,plain,
% 50.06/33.13 (v127(constB191, bitIndex2)),
% 50.06/33.13 inference(unit_resolution,[status(thm)],[27838, 27903])).
% 50.06/33.13 tff(27905,plain,
% 50.06/33.13 (~v26(constB191)),
% 50.06/33.13 inference(unit_resolution,[status(thm)],[27842, 1228, 27904])).
% 50.06/33.13 tff(27906,plain,
% 50.06/33.13 (v129(constB192, bitIndex0)),
% 50.06/33.13 inference(unit_resolution,[status(thm)],[27877, 27902])).
% 50.06/33.13 tff(27907,plain,
% 50.06/33.13 (v127(constB191, bitIndex0)),
% 50.06/33.13 inference(unit_resolution,[status(thm)],[27882, 27906])).
% 50.06/33.13 tff(27908,plain,
% 50.06/33.13 (v130(constB191, bitIndex0)),
% 50.06/33.13 inference(unit_resolution,[status(thm)],[27889, 524, 27907, 27905])).
% 50.06/33.13 tff(27909,plain,
% 50.06/33.13 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB191)) | (~v130(constB191, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB191)) | (~v130(constB191, bitIndex0)))),
% 50.06/33.13 inference(rewrite,[status(thm)],[])).
% 50.06/33.13 tff(27910,plain,
% 50.06/33.13 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB191)) | (~v130(constB191, bitIndex0)))),
% 50.06/33.13 inference(quant_inst,[status(thm)],[])).
% 50.06/33.13 tff(27911,plain,
% 50.06/33.13 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB191)) | (~v130(constB191, bitIndex0))),
% 50.06/33.13 inference(modus_ponens,[status(thm)],[27910, 27909])).
% 50.06/33.13 tff(27912,plain,
% 50.06/33.13 (~v119(constB191)),
% 50.06/33.13 inference(unit_resolution,[status(thm)],[27911, 510, 27908])).
% 50.06/33.13 tff(27913,plain,
% 50.06/33.13 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB191, bitIndex0) | (~v120(constB191)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB191, bitIndex0) | (~v120(constB191)))),
% 50.06/33.13 inference(rewrite,[status(thm)],[])).
% 50.06/33.13 tff(27914,plain,
% 50.06/33.13 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB191, bitIndex0) | (~v120(constB191)))),
% 50.06/33.13 inference(quant_inst,[status(thm)],[])).
% 50.06/33.13 tff(27915,plain,
% 50.06/33.13 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB191, bitIndex0) | (~v120(constB191))),
% 50.06/33.13 inference(modus_ponens,[status(thm)],[27914, 27913])).
% 50.06/33.13 tff(27916,plain,
% 50.06/33.13 (~v120(constB191)),
% 50.06/33.13 inference(unit_resolution,[status(thm)],[27915, 2943, 27145])).
% 50.06/33.13 tff(27917,plain,
% 50.06/33.13 (v130(constB191, bitIndex2)),
% 50.06/33.13 inference(unit_resolution,[status(thm)],[27860, 1210, 27904, 27905])).
% 50.06/33.13 tff(27918,plain,
% 50.06/33.13 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB191)) | (~v130(constB191, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB191)) | (~v130(constB191, bitIndex2)))),
% 50.06/33.13 inference(rewrite,[status(thm)],[])).
% 50.06/33.13 tff(27919,plain,
% 50.06/33.13 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB191)) | (~v130(constB191, bitIndex2)))),
% 50.06/33.13 inference(quant_inst,[status(thm)],[])).
% 50.06/33.13 tff(27920,plain,
% 50.06/33.13 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB191)) | (~v130(constB191, bitIndex2))),
% 50.06/33.13 inference(modus_ponens,[status(thm)],[27919, 27918])).
% 50.06/33.13 tff(27921,plain,
% 50.06/33.13 (~v121(constB191)),
% 50.06/33.13 inference(unit_resolution,[status(thm)],[27920, 1645, 27917])).
% 50.06/33.13 tff(27922,plain,
% 50.06/33.13 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB191, bitIndex0) | (~v122(constB191)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB191, bitIndex0) | (~v122(constB191)))),
% 50.06/33.13 inference(rewrite,[status(thm)],[])).
% 50.06/33.13 tff(27923,plain,
% 50.06/33.13 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB191, bitIndex0) | (~v122(constB191)))),
% 50.06/33.13 inference(quant_inst,[status(thm)],[])).
% 50.06/33.13 tff(27924,plain,
% 50.06/33.13 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB191, bitIndex0) | (~v122(constB191))),
% 50.06/33.13 inference(modus_ponens,[status(thm)],[27923, 27922])).
% 50.06/33.13 tff(27925,plain,
% 50.06/33.13 (~v122(constB191)),
% 50.06/33.13 inference(unit_resolution,[status(thm)],[27924, 2921, 27145])).
% 50.06/33.13 tff(27926,plain,
% 50.06/33.13 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB191)) | (~v130(constB191, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB191)) | (~v130(constB191, bitIndex0)))),
% 50.06/33.13 inference(rewrite,[status(thm)],[])).
% 50.06/33.13 tff(27927,plain,
% 50.06/33.13 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB191)) | (~v130(constB191, bitIndex0)))),
% 50.06/33.13 inference(quant_inst,[status(thm)],[])).
% 50.06/33.13 tff(27928,plain,
% 50.06/33.13 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB191)) | (~v130(constB191, bitIndex0))),
% 50.06/33.13 inference(modus_ponens,[status(thm)],[27927, 27926])).
% 50.06/33.13 tff(27929,plain,
% 50.06/33.13 (~v123(constB191)),
% 50.06/33.13 inference(unit_resolution,[status(thm)],[27928, 975, 27908])).
% 50.06/33.13 tff(27930,plain,
% 50.06/33.13 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB191, bitIndex0) | (~v124(constB191)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB191, bitIndex0) | (~v124(constB191)))),
% 50.06/33.13 inference(rewrite,[status(thm)],[])).
% 50.06/33.13 tff(27931,plain,
% 50.06/33.13 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB191, bitIndex0) | (~v124(constB191)))),
% 50.06/33.13 inference(quant_inst,[status(thm)],[])).
% 50.06/33.13 tff(27932,plain,
% 50.06/33.13 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB191, bitIndex0) | (~v124(constB191))),
% 50.06/33.13 inference(modus_ponens,[status(thm)],[27931, 27930])).
% 50.06/33.13 tff(27933,plain,
% 50.06/33.13 (~v124(constB191)),
% 50.06/33.13 inference(unit_resolution,[status(thm)],[27932, 2932, 27145])).
% 50.06/33.13 tff(27934,plain,
% 50.06/33.13 (v129(constB192, bitIndex1)),
% 50.06/33.13 inference(unit_resolution,[status(thm)],[27851, 27902])).
% 50.06/33.13 tff(27935,plain,
% 50.06/33.13 (v127(constB191, bitIndex1)),
% 50.06/33.13 inference(unit_resolution,[status(thm)],[27055, 27934])).
% 50.06/33.13 tff(27936,plain,
% 50.06/33.13 (v130(constB191, bitIndex1)),
% 50.06/33.13 inference(unit_resolution,[status(thm)],[27046, 450, 27935, 27905])).
% 50.06/33.13 tff(27937,plain,
% 50.06/33.13 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB191) | v123(constB191) | v122(constB191) | v121(constB191) | v120(constB191) | v119(constB191) | (~v130(constB191, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB191) | v123(constB191) | v122(constB191) | v121(constB191) | v120(constB191) | v119(constB191) | (~v130(constB191, bitIndex1)))),
% 50.06/33.13 inference(rewrite,[status(thm)],[])).
% 50.06/33.13 tff(27938,plain,
% 50.06/33.13 ((v120(constB191) | v119(constB191) | v121(constB191) | v122(constB191) | v123(constB191) | v124(constB191) | (~v130(constB191, bitIndex1))) <=> (v124(constB191) | v123(constB191) | v122(constB191) | v121(constB191) | v120(constB191) | v119(constB191) | (~v130(constB191, bitIndex1)))),
% 50.06/33.13 inference(rewrite,[status(thm)],[])).
% 50.06/33.13 tff(27939,plain,
% 50.06/33.13 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB191) | v119(constB191) | v121(constB191) | v122(constB191) | v123(constB191) | v124(constB191) | (~v130(constB191, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v124(constB191) | v123(constB191) | v122(constB191) | v121(constB191) | v120(constB191) | v119(constB191) | (~v130(constB191, bitIndex1))))),
% 50.06/33.13 inference(monotonicity,[status(thm)],[27938])).
% 50.06/33.13 tff(27940,plain,
% 50.06/33.13 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB191) | v119(constB191) | v121(constB191) | v122(constB191) | v123(constB191) | v124(constB191) | (~v130(constB191, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB191) | v123(constB191) | v122(constB191) | v121(constB191) | v120(constB191) | v119(constB191) | (~v130(constB191, bitIndex1)))),
% 50.06/33.13 inference(transitivity,[status(thm)],[27939, 27937])).
% 50.06/33.13 tff(27941,plain,
% 50.06/33.13 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB191) | v119(constB191) | v121(constB191) | v122(constB191) | v123(constB191) | v124(constB191) | (~v130(constB191, bitIndex1)))),
% 50.06/33.13 inference(quant_inst,[status(thm)],[])).
% 50.06/33.13 tff(27942,plain,
% 50.06/33.13 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | v124(constB191) | v123(constB191) | v122(constB191) | v121(constB191) | v120(constB191) | v119(constB191) | (~v130(constB191, bitIndex1))),
% 50.06/33.13 inference(modus_ponens,[status(thm)],[27941, 27940])).
% 50.06/33.13 tff(27943,plain,
% 50.06/33.13 ($false),
% 50.06/33.13 inference(unit_resolution,[status(thm)],[27942, 1143, 27936, 27933, 27929, 27925, 27921, 27916, 27912])).
% 50.06/33.13 tff(27944,plain,(v90(constB191, bitIndex0) | (~v90(constB192, bitIndex1)) | (~v90(constB192, bitIndex0)) | (~v90(constB192, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 50.06/33.13 tff(27945,plain,
% 50.06/33.13 (v90(constB191, bitIndex0)),
% 50.06/33.13 inference(unit_resolution,[status(thm)],[27944, 27844, 27870, 27826])).
% 50.06/33.13 tff(27946,plain,
% 50.06/33.13 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v90(constB191, bitIndex0)) | (~v119(constB191)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v90(constB191, bitIndex0)) | (~v119(constB191)))),
% 50.06/33.13 inference(rewrite,[status(thm)],[])).
% 50.06/33.13 tff(27947,plain,
% 50.06/33.13 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v90(constB191, bitIndex0)) | (~v119(constB191)))),
% 50.06/33.13 inference(quant_inst,[status(thm)],[])).
% 50.06/33.13 tff(27948,plain,
% 50.06/33.13 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v90(constB191, bitIndex0)) | (~v119(constB191))),
% 50.06/33.13 inference(modus_ponens,[status(thm)],[27947, 27946])).
% 50.06/33.13 tff(27949,plain,
% 50.06/33.13 (~v119(constB191)),
% 50.06/33.13 inference(unit_resolution,[status(thm)],[27948, 3414, 27945])).
% 50.06/33.13 tff(27950,plain,
% 50.06/33.13 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | ((~v90(constB191, bitIndex0)) | (~v121(constB191)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | (~v90(constB191, bitIndex0)) | (~v121(constB191)))),
% 50.06/33.13 inference(rewrite,[status(thm)],[])).
% 50.06/33.13 tff(27951,plain,
% 50.06/33.13 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | ((~v90(constB191, bitIndex0)) | (~v121(constB191)))),
% 50.06/33.13 inference(quant_inst,[status(thm)],[])).
% 50.06/33.13 tff(27952,plain,
% 50.06/33.13 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | (~v90(constB191, bitIndex0)) | (~v121(constB191))),
% 50.06/33.13 inference(modus_ponens,[status(thm)],[27951, 27950])).
% 50.06/33.13 tff(27953,plain,
% 50.06/33.13 (~v121(constB191)),
% 50.06/33.13 inference(unit_resolution,[status(thm)],[27952, 3031, 27945])).
% 50.06/33.13 tff(27954,plain,
% 50.06/33.13 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | ((~v90(constB191, bitIndex0)) | (~v123(constB191)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | (~v90(constB191, bitIndex0)) | (~v123(constB191)))),
% 50.06/33.13 inference(rewrite,[status(thm)],[])).
% 50.06/33.13 tff(27955,plain,
% 50.06/33.13 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | ((~v90(constB191, bitIndex0)) | (~v123(constB191)))),
% 50.06/33.13 inference(quant_inst,[status(thm)],[])).
% 50.06/33.13 tff(27956,plain,
% 50.06/33.13 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v123(VarCurr)))) | (~v90(constB191, bitIndex0)) | (~v123(constB191))),
% 50.06/33.13 inference(modus_ponens,[status(thm)],[27955, 27954])).
% 50.06/33.13 tff(27957,plain,
% 50.06/33.13 (~v123(constB191)),
% 50.06/33.13 inference(unit_resolution,[status(thm)],[27956, 3454, 27945])).
% 50.06/33.13 tff(27958,plain,
% 50.06/33.13 (v124(constB191) | v122(constB191) | v120(constB191) | (~v130(constB191, bitIndex1))),
% 50.06/33.13 inference(unit_resolution,[status(thm)],[27942, 1143, 27957, 27953, 27949])).
% 50.06/33.13 tff(27959,plain,
% 50.06/33.13 ($false),
% 50.06/33.13 inference(unit_resolution,[status(thm)],[27958, 27894, 27869, 27865, 27854])).
% 50.06/33.13 tff(27960,plain,((~v100(constB192)) | (~v90(constB192, bitIndex1)) | (~v90(constB192, bitIndex0)) | (~v90(constB192, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 50.06/33.13 tff(27961,plain,
% 50.06/33.13 (~v100(constB192)),
% 50.06/33.13 inference(unit_resolution,[status(thm)],[27960, 27824, 27793, 27806])).
% 50.06/33.13 tff(27962,plain,
% 50.06/33.13 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB189, bitIndex0) | (~v120(constB189)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB189, bitIndex0) | (~v120(constB189)))),
% 50.06/33.13 inference(rewrite,[status(thm)],[])).
% 50.06/33.13 tff(27963,plain,
% 50.06/33.13 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | (v90(constB189, bitIndex0) | (~v120(constB189)))),
% 50.06/33.13 inference(quant_inst,[status(thm)],[])).
% 50.06/33.13 tff(27964,plain,
% 50.06/33.13 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v120(VarCurr)))) | v90(constB189, bitIndex0) | (~v120(constB189))),
% 50.06/33.13 inference(modus_ponens,[status(thm)],[27963, 27962])).
% 50.06/33.13 tff(27965,plain,
% 50.06/33.13 (~v120(constB189)),
% 50.06/33.13 inference(unit_resolution,[status(thm)],[27964, 2943, 27473])).
% 50.06/33.13 tff(27966,assumption,(~v119(constB189)), introduced(assumption)).
% 50.06/33.13 tff(27967,assumption,(~v123(constB189)), introduced(assumption)).
% 50.06/33.13 tff(27968,plain,
% 50.06/33.13 (v90(constB191, bitIndex0)),
% 50.06/33.13 inference(unit_resolution,[status(thm)],[27944, 27824, 27793, 27806])).
% 50.06/33.13 tff(27969,plain,
% 50.06/33.13 (v90(constB190, bitIndex0)),
% 50.06/33.13 inference(unit_resolution,[status(thm)],[27214, 27968])).
% 50.06/33.13 tff(27970,plain,
% 50.06/33.13 (v100(constB190)),
% 50.06/33.13 inference(unit_resolution,[status(thm)],[27263, 27969, 27473])).
% 50.06/33.13 tff(27971,assumption,(~v124(constB189)), introduced(assumption)).
% 50.06/33.13 tff(27972,plain,
% 50.06/33.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB191, bitIndex1) | (~nextState(constB191, constB192)) | v100(constB192) | (~v90(constB192, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB191, bitIndex1) | (~nextState(constB191, constB192)) | v100(constB192) | (~v90(constB192, bitIndex1)))),
% 50.06/33.13 inference(rewrite,[status(thm)],[])).
% 50.06/33.13 tff(27973,plain,
% 50.06/33.13 (((~nextState(constB191, constB192)) | v90(constB191, bitIndex1) | v100(constB192) | (~v90(constB192, bitIndex1))) <=> (v90(constB191, bitIndex1) | (~nextState(constB191, constB192)) | v100(constB192) | (~v90(constB192, bitIndex1)))),
% 50.06/33.13 inference(rewrite,[status(thm)],[])).
% 50.06/33.13 tff(27974,plain,
% 50.06/33.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB191, constB192)) | v90(constB191, bitIndex1) | v100(constB192) | (~v90(constB192, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB191, bitIndex1) | (~nextState(constB191, constB192)) | v100(constB192) | (~v90(constB192, bitIndex1))))),
% 50.06/33.13 inference(monotonicity,[status(thm)],[27973])).
% 50.06/33.13 tff(27975,plain,
% 50.06/33.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB191, constB192)) | v90(constB191, bitIndex1) | v100(constB192) | (~v90(constB192, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB191, bitIndex1) | (~nextState(constB191, constB192)) | v100(constB192) | (~v90(constB192, bitIndex1)))),
% 50.06/33.13 inference(transitivity,[status(thm)],[27974, 27972])).
% 50.06/33.13 tff(27976,plain,
% 50.06/33.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB191, constB192)) | v90(constB191, bitIndex1) | v100(constB192) | (~v90(constB192, bitIndex1)))),
% 50.06/33.13 inference(quant_inst,[status(thm)],[])).
% 50.06/33.13 tff(27977,plain,
% 50.06/33.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB191, bitIndex1) | (~nextState(constB191, constB192)) | v100(constB192) | (~v90(constB192, bitIndex1))),
% 50.06/33.13 inference(modus_ponens,[status(thm)],[27976, 27975])).
% 50.06/33.13 tff(27978,plain,
% 50.06/33.13 (v90(constB191, bitIndex1) | v100(constB192) | (~v90(constB192, bitIndex1))),
% 50.06/33.13 inference(unit_resolution,[status(thm)],[27977, 102, 27051])).
% 50.06/33.13 tff(27979,plain,
% 50.06/33.13 (v90(constB191, bitIndex1)),
% 50.06/33.13 inference(unit_resolution,[status(thm)],[27978, 27057, 27844])).
% 50.06/33.13 tff(27980,plain,
% 50.06/33.13 (v90(constB190, bitIndex1)),
% 50.06/33.13 inference(unit_resolution,[status(thm)],[27205, 27979])).
% 50.06/33.13 tff(27981,assumption,(v100(constB190)), introduced(assumption)).
% 50.06/33.13 tff(27982,plain,
% 50.06/33.13 (((~![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)))),
% 50.06/33.13 inference(rewrite,[status(thm)],[])).
% 50.06/33.13 tff(27983,plain,
% 50.06/33.13 (((~v90(constB190, bitIndex1)) | (~v100(constB190)) | v129(constB190, bitIndex1)) <=> ((~v90(constB190, bitIndex1)) | v129(constB190, bitIndex1) | (~v100(constB190)))),
% 50.06/33.13 inference(rewrite,[status(thm)],[])).
% 50.06/33.13 tff(27984,plain,
% 50.06/33.13 (((~![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))))),
% 50.06/33.13 inference(monotonicity,[status(thm)],[27983])).
% 50.06/33.13 tff(27985,plain,
% 50.06/33.13 (((~![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)))),
% 50.06/33.13 inference(transitivity,[status(thm)],[27984, 27982])).
% 50.06/33.13 tff(27986,plain,
% 50.06/33.13 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB190, bitIndex1)) | (~v100(constB190)) | v129(constB190, bitIndex1))),
% 50.06/33.13 inference(quant_inst,[status(thm)],[])).
% 50.06/33.13 tff(27987,plain,
% 50.06/33.13 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB190, bitIndex1)) | v129(constB190, bitIndex1) | (~v100(constB190))),
% 50.06/33.13 inference(modus_ponens,[status(thm)],[27986, 27985])).
% 50.06/33.13 tff(27988,plain,
% 50.06/33.13 ((~v90(constB190, bitIndex1)) | v129(constB190, bitIndex1)),
% 50.06/33.13 inference(unit_resolution,[status(thm)],[27987, 483, 27981])).
% 50.06/33.13 tff(27989,plain,
% 50.06/33.13 (v129(constB190, bitIndex1)),
% 50.06/33.13 inference(unit_resolution,[status(thm)],[27988, 27980])).
% 50.06/33.13 tff(27990,plain,
% 50.06/33.13 (((~![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)))),
% 50.06/33.13 inference(rewrite,[status(thm)],[])).
% 50.06/33.13 tff(27991,plain,
% 50.06/33.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB189, constB190)) | v127(constB189, bitIndex1) | (~v129(constB190, bitIndex1)))),
% 50.06/33.13 inference(quant_inst,[status(thm)],[])).
% 50.06/33.13 tff(27992,plain,
% 50.06/33.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB189, constB190)) | v127(constB189, bitIndex1) | (~v129(constB190, bitIndex1))),
% 50.06/33.13 inference(modus_ponens,[status(thm)],[27991, 27990])).
% 50.06/33.13 tff(27993,plain,
% 50.06/33.13 (v127(constB189, bitIndex1) | (~v129(constB190, bitIndex1))),
% 50.06/33.13 inference(unit_resolution,[status(thm)],[27992, 468, 26795])).
% 50.06/33.13 tff(27994,plain,
% 50.06/33.13 (v127(constB189, bitIndex1)),
% 50.06/33.13 inference(unit_resolution,[status(thm)],[27993, 27989])).
% 50.06/33.13 tff(27995,assumption,(~v26(constB189)), introduced(assumption)).
% 50.06/33.13 tff(27996,plain,
% 50.06/33.13 (((~![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))),
% 50.06/33.13 inference(rewrite,[status(thm)],[])).
% 50.06/33.13 tff(27997,plain,
% 50.06/33.13 ((v26(constB189) | v130(constB189, bitIndex1) | (~v127(constB189, bitIndex1))) <=> ((~v127(constB189, bitIndex1)) | v26(constB189) | v130(constB189, bitIndex1))),
% 50.06/33.13 inference(rewrite,[status(thm)],[])).
% 50.06/33.13 tff(27998,plain,
% 50.06/33.13 (((~![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)))),
% 50.06/33.13 inference(monotonicity,[status(thm)],[27997])).
% 50.06/33.14 tff(27999,plain,
% 50.06/33.14 (((~![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))),
% 50.06/33.14 inference(transitivity,[status(thm)],[27998, 27996])).
% 50.06/33.14 tff(28000,plain,
% 50.06/33.14 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB189) | v130(constB189, bitIndex1) | (~v127(constB189, bitIndex1)))),
% 50.06/33.14 inference(quant_inst,[status(thm)],[])).
% 50.06/33.14 tff(28001,plain,
% 50.06/33.14 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB189, bitIndex1)) | v26(constB189) | v130(constB189, bitIndex1)),
% 50.06/33.14 inference(modus_ponens,[status(thm)],[28000, 27999])).
% 50.06/33.14 tff(28002,plain,
% 50.06/33.14 ((~v127(constB189, bitIndex1)) | v130(constB189, bitIndex1)),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[28001, 450, 27995])).
% 50.06/33.14 tff(28003,plain,
% 50.06/33.14 (v130(constB189, bitIndex1)),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[28002, 27994])).
% 50.06/33.14 tff(28004,assumption,(~v120(constB189)), introduced(assumption)).
% 50.06/33.14 tff(28005,assumption,(~v122(constB189)), introduced(assumption)).
% 50.06/33.14 tff(28006,plain,
% 50.06/33.14 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB189, bitIndex1)) | v124(constB189) | v123(constB189) | v120(constB189) | v119(constB189) | v122(constB189) | v121(constB189))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB189, bitIndex1)) | v124(constB189) | v123(constB189) | v120(constB189) | v119(constB189) | v122(constB189) | v121(constB189))),
% 50.06/33.14 inference(rewrite,[status(thm)],[])).
% 50.06/33.14 tff(28007,plain,
% 50.06/33.14 ((v120(constB189) | v119(constB189) | v121(constB189) | v122(constB189) | v123(constB189) | v124(constB189) | (~v130(constB189, bitIndex1))) <=> ((~v130(constB189, bitIndex1)) | v124(constB189) | v123(constB189) | v120(constB189) | v119(constB189) | v122(constB189) | v121(constB189))),
% 50.06/33.14 inference(rewrite,[status(thm)],[])).
% 50.06/33.14 tff(28008,plain,
% 50.06/33.14 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB189) | v119(constB189) | v121(constB189) | v122(constB189) | v123(constB189) | v124(constB189) | (~v130(constB189, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB189, bitIndex1)) | v124(constB189) | v123(constB189) | v120(constB189) | v119(constB189) | v122(constB189) | v121(constB189)))),
% 50.06/33.14 inference(monotonicity,[status(thm)],[28007])).
% 50.06/33.14 tff(28009,plain,
% 50.06/33.14 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB189) | v119(constB189) | v121(constB189) | v122(constB189) | v123(constB189) | v124(constB189) | (~v130(constB189, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB189, bitIndex1)) | v124(constB189) | v123(constB189) | v120(constB189) | v119(constB189) | v122(constB189) | v121(constB189))),
% 50.06/33.14 inference(transitivity,[status(thm)],[28008, 28006])).
% 50.06/33.14 tff(28010,plain,
% 50.06/33.14 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB189) | v119(constB189) | v121(constB189) | v122(constB189) | v123(constB189) | v124(constB189) | (~v130(constB189, bitIndex1)))),
% 50.06/33.14 inference(quant_inst,[status(thm)],[])).
% 50.06/33.14 tff(28011,plain,
% 50.06/33.14 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB189, bitIndex1)) | v124(constB189) | v123(constB189) | v120(constB189) | v119(constB189) | v122(constB189) | v121(constB189)),
% 50.06/33.14 inference(modus_ponens,[status(thm)],[28010, 28009])).
% 50.06/33.14 tff(28012,plain,
% 50.06/33.14 ((~v130(constB189, bitIndex1)) | v124(constB189) | v121(constB189)),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[28011, 1143, 27967, 28005, 27966, 28004])).
% 50.06/33.14 tff(28013,plain,
% 50.06/33.14 (v121(constB189)),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[28012, 28003, 27971])).
% 50.06/33.14 tff(28014,plain,
% 50.06/33.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB191, bitIndex2) | (~nextState(constB191, constB192)) | v100(constB192) | (~v90(constB192, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB191, bitIndex2) | (~nextState(constB191, constB192)) | v100(constB192) | (~v90(constB192, bitIndex2)))),
% 50.06/33.14 inference(rewrite,[status(thm)],[])).
% 50.06/33.14 tff(28015,plain,
% 50.06/33.14 (((~nextState(constB191, constB192)) | v90(constB191, bitIndex2) | v100(constB192) | (~v90(constB192, bitIndex2))) <=> (v90(constB191, bitIndex2) | (~nextState(constB191, constB192)) | v100(constB192) | (~v90(constB192, bitIndex2)))),
% 50.06/33.14 inference(rewrite,[status(thm)],[])).
% 50.06/33.14 tff(28016,plain,
% 50.06/33.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB191, constB192)) | v90(constB191, bitIndex2) | v100(constB192) | (~v90(constB192, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB191, bitIndex2) | (~nextState(constB191, constB192)) | v100(constB192) | (~v90(constB192, bitIndex2))))),
% 50.06/33.14 inference(monotonicity,[status(thm)],[28015])).
% 50.06/33.14 tff(28017,plain,
% 50.06/33.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB191, constB192)) | v90(constB191, bitIndex2) | v100(constB192) | (~v90(constB192, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB191, bitIndex2) | (~nextState(constB191, constB192)) | v100(constB192) | (~v90(constB192, bitIndex2)))),
% 50.06/33.14 inference(transitivity,[status(thm)],[28016, 28014])).
% 50.06/33.14 tff(28018,plain,
% 50.06/33.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB191, constB192)) | v90(constB191, bitIndex2) | v100(constB192) | (~v90(constB192, bitIndex2)))),
% 50.06/33.14 inference(quant_inst,[status(thm)],[])).
% 50.06/33.14 tff(28019,plain,
% 50.06/33.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB191, bitIndex2) | (~nextState(constB191, constB192)) | v100(constB192) | (~v90(constB192, bitIndex2))),
% 50.06/33.14 inference(modus_ponens,[status(thm)],[28018, 28017])).
% 50.06/33.14 tff(28020,plain,
% 50.06/33.14 (v90(constB191, bitIndex2) | v100(constB192) | (~v90(constB192, bitIndex2))),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[28019, 81, 27051])).
% 50.06/33.14 tff(28021,plain,
% 50.06/33.14 (v90(constB191, bitIndex2)),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[28020, 27057, 27826])).
% 50.06/33.14 tff(28022,plain,
% 50.06/33.14 (v90(constB190, bitIndex2)),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[26961, 28021])).
% 50.06/33.14 tff(28023,plain,
% 50.06/33.14 ((~v90(constB190, bitIndex2)) | v129(constB190, bitIndex2)),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[26933, 1258, 27981])).
% 50.06/33.14 tff(28024,plain,
% 50.06/33.14 (v129(constB190, bitIndex2)),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[28023, 28022])).
% 50.06/33.14 tff(28025,plain,
% 50.06/33.14 (v127(constB189, bitIndex2)),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[26926, 28024])).
% 50.06/33.14 tff(28026,plain,
% 50.06/33.14 ((~v127(constB189, bitIndex2)) | v130(constB189, bitIndex2)),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[26914, 1210, 27995])).
% 50.06/33.14 tff(28027,plain,
% 50.06/33.14 (v130(constB189, bitIndex2)),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[28026, 28025])).
% 50.06/33.14 tff(28028,plain,
% 50.06/33.14 ($false),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[26905, 1645, 28027, 28013])).
% 50.06/33.14 tff(28029,plain,(v100(constB192) | v124(constB189) | v123(constB189) | v122(constB189) | v119(constB189) | v120(constB189) | v26(constB189) | (~v100(constB190)) | (~v90(constB192, bitIndex2)) | (~v90(constB192, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 50.06/33.14 tff(28030,plain,
% 50.06/33.14 (v26(constB189)),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[28029, 27970, 27967, 27824, 27966, 27965, 27961, 27797, 27793, 27477])).
% 50.06/33.14 tff(28031,plain,
% 50.06/33.14 (v127(constB189, bitIndex0)),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[27289, 27969])).
% 50.06/33.14 tff(28032,plain,
% 50.06/33.14 ($false),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[27303, 1514, 28031, 28030])).
% 50.06/33.14 tff(28033,plain,(v100(constB194) | v123(constB189) | v119(constB189) | v90(constB189, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 50.06/33.14 tff(28034,plain,
% 50.06/33.14 (v90(constB189, bitIndex0)),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[28033, 27472, 27314, 27310])).
% 50.06/33.14 tff(28035,plain,
% 50.06/33.14 (v90(constB188, bitIndex0)),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[26742, 28034])).
% 50.06/33.14 tff(28036,assumption,(v90(constB188, bitIndex0)), introduced(assumption)).
% 50.06/33.14 tff(28037,assumption,(v90(constB190, bitIndex1)), introduced(assumption)).
% 50.06/33.14 tff(28038,assumption,(~v100(constB190)), introduced(assumption)).
% 50.06/33.14 tff(28039,plain,
% 50.06/33.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB189, bitIndex1) | (~nextState(constB189, constB190)) | v100(constB190) | (~v90(constB190, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB189, bitIndex1) | (~nextState(constB189, constB190)) | v100(constB190) | (~v90(constB190, bitIndex1)))),
% 50.06/33.14 inference(rewrite,[status(thm)],[])).
% 50.06/33.14 tff(28040,plain,
% 50.06/33.14 (((~nextState(constB189, constB190)) | v90(constB189, bitIndex1) | v100(constB190) | (~v90(constB190, bitIndex1))) <=> (v90(constB189, bitIndex1) | (~nextState(constB189, constB190)) | v100(constB190) | (~v90(constB190, bitIndex1)))),
% 50.06/33.14 inference(rewrite,[status(thm)],[])).
% 50.06/33.14 tff(28041,plain,
% 50.06/33.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB189, constB190)) | v90(constB189, bitIndex1) | v100(constB190) | (~v90(constB190, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB189, bitIndex1) | (~nextState(constB189, constB190)) | v100(constB190) | (~v90(constB190, bitIndex1))))),
% 50.06/33.14 inference(monotonicity,[status(thm)],[28040])).
% 50.06/33.14 tff(28042,plain,
% 50.06/33.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB189, constB190)) | v90(constB189, bitIndex1) | v100(constB190) | (~v90(constB190, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB189, bitIndex1) | (~nextState(constB189, constB190)) | v100(constB190) | (~v90(constB190, bitIndex1)))),
% 50.06/33.14 inference(transitivity,[status(thm)],[28041, 28039])).
% 50.06/33.14 tff(28043,plain,
% 50.06/33.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB189, constB190)) | v90(constB189, bitIndex1) | v100(constB190) | (~v90(constB190, bitIndex1)))),
% 50.06/33.14 inference(quant_inst,[status(thm)],[])).
% 50.06/33.14 tff(28044,plain,
% 50.06/33.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB189, bitIndex1) | (~nextState(constB189, constB190)) | v100(constB190) | (~v90(constB190, bitIndex1))),
% 50.06/33.14 inference(modus_ponens,[status(thm)],[28043, 28042])).
% 50.06/33.14 tff(28045,plain,
% 50.06/33.14 (v90(constB189, bitIndex1) | v100(constB190) | (~v90(constB190, bitIndex1))),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[28044, 102, 26795])).
% 50.06/33.14 tff(28046,plain,
% 50.06/33.14 (v90(constB189, bitIndex1)),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[28045, 28038, 28037])).
% 50.06/33.14 tff(28047,plain,
% 50.06/33.14 (((~![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)))),
% 50.06/33.14 inference(rewrite,[status(thm)],[])).
% 50.06/33.14 tff(28048,plain,
% 50.06/33.14 (((~nextState(constB188, constB189)) | v90(constB188, bitIndex1) | v100(constB189) | (~v90(constB189, bitIndex1))) <=> (v90(constB188, bitIndex1) | (~nextState(constB188, constB189)) | v100(constB189) | (~v90(constB189, bitIndex1)))),
% 50.06/33.14 inference(rewrite,[status(thm)],[])).
% 50.06/33.14 tff(28049,plain,
% 50.06/33.14 (((~![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))))),
% 50.06/33.14 inference(monotonicity,[status(thm)],[28048])).
% 50.06/33.14 tff(28050,plain,
% 50.06/33.14 (((~![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)))),
% 50.06/33.14 inference(transitivity,[status(thm)],[28049, 28047])).
% 50.06/33.14 tff(28051,plain,
% 50.06/33.14 ((~![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)))),
% 50.06/33.14 inference(quant_inst,[status(thm)],[])).
% 50.06/33.14 tff(28052,plain,
% 50.06/33.14 ((~![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))),
% 50.06/33.14 inference(modus_ponens,[status(thm)],[28051, 28050])).
% 50.06/33.14 tff(28053,plain,
% 50.06/33.14 (v90(constB188, bitIndex1) | v100(constB189) | (~v90(constB189, bitIndex1))),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[28052, 102, 26657])).
% 50.06/33.14 tff(28054,plain,
% 50.06/33.14 (v90(constB188, bitIndex1) | (~v90(constB189, bitIndex1))),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[28053, 26669])).
% 50.06/33.14 tff(28055,plain,
% 50.06/33.14 (v90(constB188, bitIndex1)),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[28054, 28046])).
% 50.06/33.14 tff(28056,plain,
% 50.06/33.14 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB185) | (~v123(constB185)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB185) | (~v123(constB185)))),
% 50.06/33.14 inference(rewrite,[status(thm)],[])).
% 50.06/33.14 tff(28057,plain,
% 50.06/33.14 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB185) | (~v123(constB185)))),
% 50.06/33.14 inference(quant_inst,[status(thm)],[])).
% 50.06/33.14 tff(28058,plain,
% 50.06/33.14 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB185) | (~v123(constB185))),
% 50.06/33.14 inference(modus_ponens,[status(thm)],[28057, 28056])).
% 50.06/33.14 tff(28059,plain,
% 50.06/33.14 (v115(constB185)),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[28058, 595, 24257])).
% 50.06/33.14 tff(28060,plain,
% 50.06/33.14 (v114(constB185)),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[26464, 199, 28059])).
% 50.06/33.14 tff(28061,plain,
% 50.06/33.14 (v113(constB185)),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[26460, 210, 28060])).
% 50.06/33.14 tff(28062,plain,
% 50.06/33.14 (v112(constB185)),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[24167, 28061])).
% 50.06/33.14 tff(28063,plain,
% 50.06/33.14 (v108(constB185)),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[24171, 236, 28062])).
% 50.06/33.14 tff(28064,plain,
% 50.06/33.14 (v110(constB186)),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[24182, 28063])).
% 50.06/33.14 tff(28065,plain,
% 50.06/33.14 (v100(constB186)),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[24208, 28064])).
% 50.06/33.14 tff(28066,plain,
% 50.06/33.14 (v130(constB185, bitIndex2)),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[26530, 836, 24257])).
% 50.06/33.14 tff(28067,plain,
% 50.06/33.14 (v127(constB185, bitIndex2)),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[26488, 28066])).
% 50.06/33.14 tff(28068,plain,
% 50.06/33.14 (v129(constB186, bitIndex2)),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[26483, 28067])).
% 50.06/33.14 tff(28069,plain,
% 50.06/33.14 (v90(constB186, bitIndex2) | (~v100(constB186))),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[26477, 381, 28068])).
% 50.06/33.14 tff(28070,plain,
% 50.06/33.14 (v90(constB186, bitIndex2)),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[28069, 28065])).
% 50.06/33.14 tff(28071,plain,
% 50.06/33.14 (v90(constB187, bitIndex2)),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[26399, 28070])).
% 50.06/33.14 tff(28072,plain,
% 50.06/33.14 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB187, bitIndex2)) | (~v121(constB187)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB187, bitIndex2)) | (~v121(constB187)))),
% 50.06/33.14 inference(rewrite,[status(thm)],[])).
% 50.06/33.14 tff(28073,plain,
% 50.06/33.14 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB187, bitIndex2)) | (~v121(constB187)))),
% 50.06/33.14 inference(quant_inst,[status(thm)],[])).
% 50.06/33.14 tff(28074,plain,
% 50.06/33.14 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB187, bitIndex2)) | (~v121(constB187))),
% 50.06/33.14 inference(modus_ponens,[status(thm)],[28073, 28072])).
% 50.06/33.14 tff(28075,plain,
% 50.06/33.14 (~v121(constB187)),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[28074, 883, 28071])).
% 50.06/33.14 tff(28076,plain,
% 50.06/33.14 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB187, bitIndex2)) | (~v122(constB187)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB187, bitIndex2)) | (~v122(constB187)))),
% 50.06/33.14 inference(rewrite,[status(thm)],[])).
% 50.06/33.14 tff(28077,plain,
% 50.06/33.14 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB187, bitIndex2)) | (~v122(constB187)))),
% 50.06/33.14 inference(quant_inst,[status(thm)],[])).
% 50.06/33.14 tff(28078,plain,
% 50.06/33.14 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB187, bitIndex2)) | (~v122(constB187))),
% 50.06/33.14 inference(modus_ponens,[status(thm)],[28077, 28076])).
% 50.06/33.14 tff(28079,plain,
% 50.06/33.14 (~v122(constB187)),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[28078, 894, 28071])).
% 50.06/33.14 tff(28080,plain,
% 50.06/33.14 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB185)) | v130(constB185, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB185)) | v130(constB185, bitIndex1))),
% 50.06/33.14 inference(rewrite,[status(thm)],[])).
% 50.06/33.14 tff(28081,plain,
% 50.06/33.14 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB185)) | v130(constB185, bitIndex1))),
% 50.06/33.14 inference(quant_inst,[status(thm)],[])).
% 50.06/33.14 tff(28082,plain,
% 50.06/33.14 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB185)) | v130(constB185, bitIndex1)),
% 50.06/33.14 inference(modus_ponens,[status(thm)],[28081, 28080])).
% 50.06/33.14 tff(28083,plain,
% 50.06/33.14 (v130(constB185, bitIndex1)),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[28082, 667, 24257])).
% 50.06/33.14 tff(28084,plain,
% 50.06/33.14 (v127(constB185, bitIndex1)),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[26514, 28083])).
% 50.06/33.14 tff(28085,plain,
% 50.06/33.14 (v129(constB186, bitIndex1)),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[26509, 28084])).
% 50.06/33.14 tff(28086,plain,
% 50.06/33.14 (v90(constB186, bitIndex1) | (~v100(constB186))),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[26503, 711, 28085])).
% 50.06/33.14 tff(28087,plain,
% 50.06/33.14 (v90(constB186, bitIndex1)),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[28086, 28065])).
% 50.06/33.14 tff(28088,plain,
% 50.06/33.14 (v90(constB187, bitIndex1)),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[26408, 28087])).
% 50.06/33.14 tff(28089,plain,
% 50.06/33.14 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB187)) | (~v90(constB187, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB187)) | (~v90(constB187, bitIndex1)))),
% 50.06/33.14 inference(rewrite,[status(thm)],[])).
% 50.06/33.14 tff(28090,plain,
% 50.06/33.14 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB187)) | (~v90(constB187, bitIndex1)))),
% 50.06/33.14 inference(quant_inst,[status(thm)],[])).
% 50.06/33.14 tff(28091,plain,
% 50.06/33.14 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB187)) | (~v90(constB187, bitIndex1))),
% 50.06/33.14 inference(modus_ponens,[status(thm)],[28090, 28089])).
% 50.06/33.14 tff(28092,plain,
% 50.06/33.14 (~v119(constB187)),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[28091, 2293, 28088])).
% 50.06/33.14 tff(28093,plain,
% 50.06/33.14 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB187, bitIndex1)) | (~v120(constB187)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB187, bitIndex1)) | (~v120(constB187)))),
% 50.06/33.14 inference(rewrite,[status(thm)],[])).
% 50.06/33.14 tff(28094,plain,
% 50.06/33.14 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB187, bitIndex1)) | (~v120(constB187)))),
% 50.06/33.14 inference(quant_inst,[status(thm)],[])).
% 50.06/33.14 tff(28095,plain,
% 50.06/33.14 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB187, bitIndex1)) | (~v120(constB187))),
% 50.06/33.14 inference(modus_ponens,[status(thm)],[28094, 28093])).
% 50.06/33.14 tff(28096,plain,
% 50.06/33.14 (~v120(constB187)),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[28095, 2312, 28088])).
% 50.06/33.14 tff(28097,plain,
% 50.06/33.14 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB187, bitIndex1)) | (~v123(constB187)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB187, bitIndex1)) | (~v123(constB187)))),
% 50.06/33.14 inference(rewrite,[status(thm)],[])).
% 50.06/33.14 tff(28098,plain,
% 50.06/33.14 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB187, bitIndex1)) | (~v123(constB187)))),
% 50.06/33.14 inference(quant_inst,[status(thm)],[])).
% 50.06/33.14 tff(28099,plain,
% 50.06/33.14 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB187, bitIndex1)) | (~v123(constB187))),
% 50.06/33.14 inference(modus_ponens,[status(thm)],[28098, 28097])).
% 50.06/33.14 tff(28100,plain,
% 50.06/33.14 (~v123(constB187)),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[28099, 774, 28088])).
% 50.06/33.14 tff(28101,plain,
% 50.06/33.14 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB187, bitIndex1)) | (~v124(constB187)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB187, bitIndex1)) | (~v124(constB187)))),
% 50.06/33.14 inference(rewrite,[status(thm)],[])).
% 50.06/33.14 tff(28102,plain,
% 50.06/33.14 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB187, bitIndex1)) | (~v124(constB187)))),
% 50.06/33.14 inference(quant_inst,[status(thm)],[])).
% 50.06/33.14 tff(28103,plain,
% 50.06/33.14 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB187, bitIndex1)) | (~v124(constB187))),
% 50.06/33.14 inference(modus_ponens,[status(thm)],[28102, 28101])).
% 50.06/33.14 tff(28104,plain,
% 50.06/33.14 (~v124(constB187)),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[28103, 763, 28088])).
% 50.06/33.14 tff(28105,plain,
% 50.06/33.14 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB185)) | (~v130(constB185, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB185)) | (~v130(constB185, bitIndex0)))),
% 50.06/33.14 inference(rewrite,[status(thm)],[])).
% 50.06/33.14 tff(28106,plain,
% 50.06/33.14 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB185)) | (~v130(constB185, bitIndex0)))),
% 50.06/33.14 inference(quant_inst,[status(thm)],[])).
% 50.06/33.14 tff(28107,plain,
% 50.06/33.14 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB185)) | (~v130(constB185, bitIndex0))),
% 50.06/33.14 inference(modus_ponens,[status(thm)],[28106, 28105])).
% 50.06/33.14 tff(28108,plain,
% 50.06/33.14 (~v130(constB185, bitIndex0)),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[28107, 975, 24257])).
% 50.06/33.14 tff(28109,plain,
% 50.06/33.14 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB185, bitIndex0)) | v26(constB185) | v130(constB185, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB185, bitIndex0)) | v26(constB185) | v130(constB185, bitIndex0))),
% 50.06/33.14 inference(rewrite,[status(thm)],[])).
% 50.06/33.14 tff(28110,plain,
% 50.06/33.14 ((v26(constB185) | v130(constB185, bitIndex0) | (~v127(constB185, bitIndex0))) <=> ((~v127(constB185, bitIndex0)) | v26(constB185) | v130(constB185, bitIndex0))),
% 50.06/33.14 inference(rewrite,[status(thm)],[])).
% 50.06/33.14 tff(28111,plain,
% 50.06/33.14 (((~![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)))) | ((~v127(constB185, bitIndex0)) | v26(constB185) | v130(constB185, bitIndex0)))),
% 50.06/33.14 inference(monotonicity,[status(thm)],[28110])).
% 50.06/33.14 tff(28112,plain,
% 50.06/33.14 (((~![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)))) | (~v127(constB185, bitIndex0)) | v26(constB185) | v130(constB185, bitIndex0))),
% 50.06/33.14 inference(transitivity,[status(thm)],[28111, 28109])).
% 50.06/33.14 tff(28113,plain,
% 50.06/33.14 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB185) | v130(constB185, bitIndex0) | (~v127(constB185, bitIndex0)))),
% 50.06/33.14 inference(quant_inst,[status(thm)],[])).
% 50.06/33.14 tff(28114,plain,
% 50.06/33.14 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB185, bitIndex0)) | v26(constB185) | v130(constB185, bitIndex0)),
% 50.06/33.14 inference(modus_ponens,[status(thm)],[28113, 28112])).
% 50.06/33.14 tff(28115,plain,
% 50.06/33.14 ((~v127(constB185, bitIndex0)) | v130(constB185, bitIndex0)),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[28114, 524, 24163])).
% 50.06/33.14 tff(28116,plain,
% 50.06/33.14 (~v127(constB185, bitIndex0)),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[28115, 28108])).
% 50.06/33.14 tff(28117,plain,
% 50.06/33.14 (((~![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)))),
% 50.06/33.14 inference(rewrite,[status(thm)],[])).
% 50.06/33.14 tff(28118,plain,
% 50.06/33.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB185, constB186)) | v127(constB185, bitIndex0) | (~v129(constB186, bitIndex0)))),
% 50.06/33.14 inference(quant_inst,[status(thm)],[])).
% 50.06/33.14 tff(28119,plain,
% 50.06/33.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB185, constB186)) | v127(constB185, bitIndex0) | (~v129(constB186, bitIndex0))),
% 50.06/33.14 inference(modus_ponens,[status(thm)],[28118, 28117])).
% 50.06/33.14 tff(28120,plain,
% 50.06/33.14 (v127(constB185, bitIndex0) | (~v129(constB186, bitIndex0))),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[28119, 542, 24175])).
% 50.06/33.14 tff(28121,plain,
% 50.06/33.14 (~v129(constB186, bitIndex0)),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[28120, 28116])).
% 50.06/33.14 tff(28122,plain,
% 50.06/33.14 (((~![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)))),
% 50.06/33.14 inference(rewrite,[status(thm)],[])).
% 50.06/33.14 tff(28123,plain,
% 50.06/33.14 (((~v90(constB186, bitIndex0)) | (~v100(constB186)) | v129(constB186, bitIndex0)) <=> ((~v90(constB186, bitIndex0)) | v129(constB186, bitIndex0) | (~v100(constB186)))),
% 50.06/33.14 inference(rewrite,[status(thm)],[])).
% 50.06/33.14 tff(28124,plain,
% 50.06/33.14 (((~![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))))),
% 50.06/33.14 inference(monotonicity,[status(thm)],[28123])).
% 50.06/33.14 tff(28125,plain,
% 50.06/33.14 (((~![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)))),
% 50.06/33.14 inference(transitivity,[status(thm)],[28124, 28122])).
% 50.06/33.14 tff(28126,plain,
% 50.06/33.14 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB186, bitIndex0)) | (~v100(constB186)) | v129(constB186, bitIndex0))),
% 50.06/33.14 inference(quant_inst,[status(thm)],[])).
% 50.06/33.14 tff(28127,plain,
% 50.06/33.14 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB186, bitIndex0)) | v129(constB186, bitIndex0) | (~v100(constB186))),
% 50.06/33.14 inference(modus_ponens,[status(thm)],[28126, 28125])).
% 50.06/33.14 tff(28128,plain,
% 50.06/33.14 ((~v90(constB186, bitIndex0)) | (~v100(constB186))),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[28127, 557, 28121])).
% 50.06/33.14 tff(28129,plain,
% 50.06/33.14 (~v90(constB186, bitIndex0)),
% 50.06/33.14 inference(unit_resolution,[status(thm)],[28128, 28065])).
% 50.06/33.14 tff(28130,plain,
% 50.06/33.14 (((~![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)))),
% 50.06/33.14 inference(rewrite,[status(thm)],[])).
% 50.06/33.14 tff(28131,plain,
% 50.06/33.14 (((~nextState(constB186, constB187)) | v90(constB186, bitIndex0) | v100(constB187) | (~v90(constB187, bitIndex0))) <=> (v90(constB186, bitIndex0) | (~nextState(constB186, constB187)) | v100(constB187) | (~v90(constB187, bitIndex0)))),
% 50.06/33.14 inference(rewrite,[status(thm)],[])).
% 50.06/33.14 tff(28132,plain,
% 50.06/33.14 (((~![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))))),
% 50.06/33.14 inference(monotonicity,[status(thm)],[28131])).
% 50.06/33.14 tff(28133,plain,
% 50.06/33.14 (((~![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)))),
% 50.06/33.15 inference(transitivity,[status(thm)],[28132, 28130])).
% 50.06/33.15 tff(28134,plain,
% 50.06/33.15 ((~![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)))),
% 50.06/33.15 inference(quant_inst,[status(thm)],[])).
% 50.06/33.15 tff(28135,plain,
% 50.06/33.15 ((~![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))),
% 50.06/33.15 inference(modus_ponens,[status(thm)],[28134, 28133])).
% 50.06/33.15 tff(28136,plain,
% 50.06/33.15 (v90(constB186, bitIndex0) | v100(constB187) | (~v90(constB187, bitIndex0))),
% 50.06/33.15 inference(unit_resolution,[status(thm)],[28135, 123, 24448])).
% 50.06/33.15 tff(28137,plain,
% 50.06/33.15 (v90(constB186, bitIndex0) | (~v90(constB187, bitIndex0))),
% 50.06/33.15 inference(unit_resolution,[status(thm)],[28136, 24460])).
% 50.06/33.15 tff(28138,plain,
% 50.06/33.15 (~v90(constB187, bitIndex0)),
% 50.06/33.15 inference(unit_resolution,[status(thm)],[28137, 28129])).
% 50.06/33.15 tff(28139,plain,
% 50.06/33.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB187, bitIndex0) | (~nextState(constB187, constB188)) | v100(constB188) | (~v90(constB188, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB187, bitIndex0) | (~nextState(constB187, constB188)) | v100(constB188) | (~v90(constB188, bitIndex0)))),
% 50.06/33.15 inference(rewrite,[status(thm)],[])).
% 50.06/33.15 tff(28140,plain,
% 50.06/33.15 (((~nextState(constB187, constB188)) | v90(constB187, bitIndex0) | v100(constB188) | (~v90(constB188, bitIndex0))) <=> (v90(constB187, bitIndex0) | (~nextState(constB187, constB188)) | v100(constB188) | (~v90(constB188, bitIndex0)))),
% 50.06/33.15 inference(rewrite,[status(thm)],[])).
% 50.06/33.15 tff(28141,plain,
% 50.06/33.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB187, constB188)) | v90(constB187, bitIndex0) | v100(constB188) | (~v90(constB188, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB187, bitIndex0) | (~nextState(constB187, constB188)) | v100(constB188) | (~v90(constB188, bitIndex0))))),
% 50.06/33.15 inference(monotonicity,[status(thm)],[28140])).
% 50.06/33.15 tff(28142,plain,
% 50.06/33.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB187, constB188)) | v90(constB187, bitIndex0) | v100(constB188) | (~v90(constB188, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB187, bitIndex0) | (~nextState(constB187, constB188)) | v100(constB188) | (~v90(constB188, bitIndex0)))),
% 50.06/33.15 inference(transitivity,[status(thm)],[28141, 28139])).
% 50.06/33.15 tff(28143,plain,
% 50.06/33.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB187, constB188)) | v90(constB187, bitIndex0) | v100(constB188) | (~v90(constB188, bitIndex0)))),
% 50.06/33.15 inference(quant_inst,[status(thm)],[])).
% 50.06/33.15 tff(28144,plain,
% 50.06/33.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB187, bitIndex0) | (~nextState(constB187, constB188)) | v100(constB188) | (~v90(constB188, bitIndex0))),
% 50.06/33.15 inference(modus_ponens,[status(thm)],[28143, 28142])).
% 50.06/33.15 tff(28145,plain,
% 50.06/33.15 (v90(constB187, bitIndex0) | v100(constB188) | (~v90(constB188, bitIndex0))),
% 50.06/33.15 inference(unit_resolution,[status(thm)],[28144, 123, 26588])).
% 50.06/33.15 tff(28146,plain,
% 50.06/33.15 (v100(constB188)),
% 50.06/33.15 inference(unit_resolution,[status(thm)],[28145, 28138, 28036])).
% 50.06/33.15 tff(28147,assumption,(v90(constB188, bitIndex1)), introduced(assumption)).
% 50.06/33.15 tff(28148,plain,
% 50.06/33.15 (((~![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)))),
% 50.06/33.15 inference(rewrite,[status(thm)],[])).
% 50.06/33.15 tff(28149,plain,
% 50.06/33.15 (((~v90(constB188, bitIndex1)) | (~v100(constB188)) | v129(constB188, bitIndex1)) <=> ((~v90(constB188, bitIndex1)) | v129(constB188, bitIndex1) | (~v100(constB188)))),
% 50.06/33.15 inference(rewrite,[status(thm)],[])).
% 50.06/33.15 tff(28150,plain,
% 50.06/33.15 (((~![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))))),
% 50.06/33.15 inference(monotonicity,[status(thm)],[28149])).
% 50.06/33.15 tff(28151,plain,
% 50.06/33.15 (((~![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)))),
% 50.06/33.15 inference(transitivity,[status(thm)],[28150, 28148])).
% 50.06/33.15 tff(28152,plain,
% 50.06/33.15 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB188, bitIndex1)) | (~v100(constB188)) | v129(constB188, bitIndex1))),
% 50.06/33.15 inference(quant_inst,[status(thm)],[])).
% 50.06/33.15 tff(28153,plain,
% 50.06/33.15 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB188, bitIndex1)) | v129(constB188, bitIndex1) | (~v100(constB188))),
% 50.06/33.15 inference(modus_ponens,[status(thm)],[28152, 28151])).
% 50.06/33.15 tff(28154,plain,
% 50.06/33.15 (v129(constB188, bitIndex1) | (~v100(constB188))),
% 50.06/33.15 inference(unit_resolution,[status(thm)],[28153, 483, 28147])).
% 50.06/33.15 tff(28155,plain,
% 50.06/33.15 (v129(constB188, bitIndex1)),
% 50.06/33.15 inference(unit_resolution,[status(thm)],[28154, 28146])).
% 50.06/33.15 tff(28156,plain,
% 50.06/33.15 (((~![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)))),
% 50.06/33.15 inference(rewrite,[status(thm)],[])).
% 50.06/33.15 tff(28157,plain,
% 50.06/33.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB187, constB188)) | v127(constB187, bitIndex1) | (~v129(constB188, bitIndex1)))),
% 50.06/33.15 inference(quant_inst,[status(thm)],[])).
% 50.06/33.15 tff(28158,plain,
% 50.06/33.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB187, constB188)) | v127(constB187, bitIndex1) | (~v129(constB188, bitIndex1))),
% 50.06/33.15 inference(modus_ponens,[status(thm)],[28157, 28156])).
% 50.06/33.15 tff(28159,plain,
% 50.06/33.15 (v127(constB187, bitIndex1) | (~v129(constB188, bitIndex1))),
% 50.06/33.15 inference(unit_resolution,[status(thm)],[28158, 468, 26588])).
% 50.06/33.15 tff(28160,plain,
% 50.06/33.15 (v127(constB187, bitIndex1)),
% 50.06/33.15 inference(unit_resolution,[status(thm)],[28159, 28155])).
% 50.06/33.15 tff(28161,plain,
% 50.06/33.15 (((~![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))),
% 50.06/33.15 inference(rewrite,[status(thm)],[])).
% 50.06/33.15 tff(28162,plain,
% 50.06/33.15 ((v26(constB187) | v130(constB187, bitIndex1) | (~v127(constB187, bitIndex1))) <=> ((~v127(constB187, bitIndex1)) | v26(constB187) | v130(constB187, bitIndex1))),
% 50.06/33.15 inference(rewrite,[status(thm)],[])).
% 50.06/33.15 tff(28163,plain,
% 50.06/33.15 (((~![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)))),
% 50.06/33.15 inference(monotonicity,[status(thm)],[28162])).
% 50.06/33.15 tff(28164,plain,
% 50.06/33.15 (((~![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))),
% 50.06/33.15 inference(transitivity,[status(thm)],[28163, 28161])).
% 50.06/33.15 tff(28165,plain,
% 50.06/33.15 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB187) | v130(constB187, bitIndex1) | (~v127(constB187, bitIndex1)))),
% 50.06/33.15 inference(quant_inst,[status(thm)],[])).
% 50.06/33.15 tff(28166,plain,
% 50.06/33.15 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB187, bitIndex1)) | v26(constB187) | v130(constB187, bitIndex1)),
% 50.06/33.15 inference(modus_ponens,[status(thm)],[28165, 28164])).
% 50.06/33.15 tff(28167,plain,
% 50.06/33.15 ((~v127(constB187, bitIndex1)) | v130(constB187, bitIndex1)),
% 50.06/33.15 inference(unit_resolution,[status(thm)],[28166, 450, 26630])).
% 50.06/33.15 tff(28168,plain,
% 50.06/33.15 (v130(constB187, bitIndex1)),
% 50.06/33.15 inference(unit_resolution,[status(thm)],[28167, 28160])).
% 50.06/33.15 tff(28169,plain,
% 50.06/33.15 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB187, bitIndex1)) | v124(constB187) | v120(constB187) | v119(constB187) | v121(constB187) | v122(constB187) | v123(constB187))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB187, bitIndex1)) | v124(constB187) | v120(constB187) | v119(constB187) | v121(constB187) | v122(constB187) | v123(constB187))),
% 50.06/33.15 inference(rewrite,[status(thm)],[])).
% 50.06/33.15 tff(28170,plain,
% 50.06/33.15 ((v120(constB187) | v119(constB187) | v121(constB187) | v122(constB187) | v123(constB187) | v124(constB187) | (~v130(constB187, bitIndex1))) <=> ((~v130(constB187, bitIndex1)) | v124(constB187) | v120(constB187) | v119(constB187) | v121(constB187) | v122(constB187) | v123(constB187))),
% 50.06/33.15 inference(rewrite,[status(thm)],[])).
% 50.06/33.15 tff(28171,plain,
% 50.06/33.15 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB187) | v119(constB187) | v121(constB187) | v122(constB187) | v123(constB187) | v124(constB187) | (~v130(constB187, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB187, bitIndex1)) | v124(constB187) | v120(constB187) | v119(constB187) | v121(constB187) | v122(constB187) | v123(constB187)))),
% 50.06/33.15 inference(monotonicity,[status(thm)],[28170])).
% 50.06/33.15 tff(28172,plain,
% 50.06/33.15 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB187) | v119(constB187) | v121(constB187) | v122(constB187) | v123(constB187) | v124(constB187) | (~v130(constB187, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB187, bitIndex1)) | v124(constB187) | v120(constB187) | v119(constB187) | v121(constB187) | v122(constB187) | v123(constB187))),
% 50.06/33.15 inference(transitivity,[status(thm)],[28171, 28169])).
% 50.06/33.15 tff(28173,plain,
% 50.06/33.15 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB187) | v119(constB187) | v121(constB187) | v122(constB187) | v123(constB187) | v124(constB187) | (~v130(constB187, bitIndex1)))),
% 50.06/33.15 inference(quant_inst,[status(thm)],[])).
% 50.06/33.15 tff(28174,plain,
% 50.06/33.15 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB187, bitIndex1)) | v124(constB187) | v120(constB187) | v119(constB187) | v121(constB187) | v122(constB187) | v123(constB187)),
% 50.06/33.15 inference(modus_ponens,[status(thm)],[28173, 28172])).
% 50.06/33.15 tff(28175,plain,
% 50.06/33.15 ($false),
% 50.06/33.15 inference(unit_resolution,[status(thm)],[28174, 1143, 28168, 28104, 28100, 28096, 28092, 28079, 28075])).
% 50.06/33.15 tff(28176,plain,((~v123(constB185)) | (~v90(constB188, bitIndex1)) | (~v90(constB188, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 50.06/33.15 tff(28177,plain,
% 50.06/33.15 (~v123(constB185)),
% 50.06/33.15 inference(unit_resolution,[status(thm)],[28176, 28055, 28036])).
% 50.06/33.15 tff(28178,assumption,(v90(constB190, bitIndex2)), introduced(assumption)).
% 50.06/33.15 tff(28179,plain,
% 50.06/33.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB189, bitIndex2) | (~nextState(constB189, constB190)) | v100(constB190) | (~v90(constB190, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB189, bitIndex2) | (~nextState(constB189, constB190)) | v100(constB190) | (~v90(constB190, bitIndex2)))),
% 50.06/33.15 inference(rewrite,[status(thm)],[])).
% 50.06/33.15 tff(28180,plain,
% 50.06/33.15 (((~nextState(constB189, constB190)) | v90(constB189, bitIndex2) | v100(constB190) | (~v90(constB190, bitIndex2))) <=> (v90(constB189, bitIndex2) | (~nextState(constB189, constB190)) | v100(constB190) | (~v90(constB190, bitIndex2)))),
% 50.06/33.15 inference(rewrite,[status(thm)],[])).
% 50.06/33.15 tff(28181,plain,
% 50.06/33.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB189, constB190)) | v90(constB189, bitIndex2) | v100(constB190) | (~v90(constB190, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB189, bitIndex2) | (~nextState(constB189, constB190)) | v100(constB190) | (~v90(constB190, bitIndex2))))),
% 50.06/33.15 inference(monotonicity,[status(thm)],[28180])).
% 50.06/33.15 tff(28182,plain,
% 50.06/33.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB189, constB190)) | v90(constB189, bitIndex2) | v100(constB190) | (~v90(constB190, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB189, bitIndex2) | (~nextState(constB189, constB190)) | v100(constB190) | (~v90(constB190, bitIndex2)))),
% 50.06/33.15 inference(transitivity,[status(thm)],[28181, 28179])).
% 50.06/33.15 tff(28183,plain,
% 50.06/33.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB189, constB190)) | v90(constB189, bitIndex2) | v100(constB190) | (~v90(constB190, bitIndex2)))),
% 50.06/33.15 inference(quant_inst,[status(thm)],[])).
% 50.06/33.15 tff(28184,plain,
% 50.06/33.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB189, bitIndex2) | (~nextState(constB189, constB190)) | v100(constB190) | (~v90(constB190, bitIndex2))),
% 50.06/33.15 inference(modus_ponens,[status(thm)],[28183, 28182])).
% 50.06/33.15 tff(28185,plain,
% 50.06/33.15 (v90(constB189, bitIndex2) | v100(constB190) | (~v90(constB190, bitIndex2))),
% 50.06/33.15 inference(unit_resolution,[status(thm)],[28184, 81, 26795])).
% 50.06/33.15 tff(28186,plain,
% 50.06/33.15 (v90(constB189, bitIndex2)),
% 50.06/33.15 inference(unit_resolution,[status(thm)],[28185, 28038, 28178])).
% 50.06/33.15 tff(28187,plain,
% 50.06/33.15 (v90(constB188, bitIndex2)),
% 50.06/33.15 inference(unit_resolution,[status(thm)],[26677, 28186])).
% 50.06/33.15 tff(28188,assumption,(v100(constB188)), introduced(assumption)).
% 50.06/33.15 tff(28189,assumption,(v90(constB188, bitIndex2)), introduced(assumption)).
% 50.06/33.15 tff(28190,plain,
% 50.06/33.15 (v129(constB188, bitIndex2) | (~v100(constB188))),
% 50.06/33.15 inference(unit_resolution,[status(thm)],[26649, 1258, 28189])).
% 50.06/33.15 tff(28191,plain,
% 50.06/33.15 (v129(constB188, bitIndex2)),
% 50.06/33.15 inference(unit_resolution,[status(thm)],[28190, 28188])).
% 50.06/33.15 tff(28192,plain,
% 50.06/33.15 (v127(constB187, bitIndex2)),
% 50.06/33.15 inference(unit_resolution,[status(thm)],[26642, 28191])).
% 50.06/33.15 tff(28193,plain,
% 50.06/33.15 (v130(constB187, bitIndex2)),
% 50.06/33.15 inference(unit_resolution,[status(thm)],[26637, 28192])).
% 50.06/33.15 tff(28194,plain,
% 50.06/33.15 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB187)) | (~v130(constB187, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB187)) | (~v130(constB187, bitIndex2)))),
% 50.06/33.15 inference(rewrite,[status(thm)],[])).
% 50.06/33.15 tff(28195,plain,
% 50.06/33.15 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB187)) | (~v130(constB187, bitIndex2)))),
% 50.06/33.15 inference(quant_inst,[status(thm)],[])).
% 50.06/33.15 tff(28196,plain,
% 50.06/33.15 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB187)) | (~v130(constB187, bitIndex2))),
% 50.06/33.15 inference(modus_ponens,[status(thm)],[28195, 28194])).
% 50.06/33.15 tff(28197,plain,
% 50.06/33.15 (~v124(constB187)),
% 50.06/33.15 inference(unit_resolution,[status(thm)],[28196, 2853, 28193])).
% 50.06/33.15 tff(28198,plain,
% 50.06/33.15 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB187)) | (~v130(constB187, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB187)) | (~v130(constB187, bitIndex2)))),
% 50.06/33.15 inference(rewrite,[status(thm)],[])).
% 50.06/33.15 tff(28199,plain,
% 50.06/33.15 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB187)) | (~v130(constB187, bitIndex2)))),
% 50.06/33.15 inference(quant_inst,[status(thm)],[])).
% 50.06/33.15 tff(28200,plain,
% 50.06/33.15 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB187)) | (~v130(constB187, bitIndex2))),
% 50.06/33.15 inference(modus_ponens,[status(thm)],[28199, 28198])).
% 50.06/33.15 tff(28201,plain,
% 50.06/33.15 (~v121(constB187)),
% 50.06/33.15 inference(unit_resolution,[status(thm)],[28200, 1645, 28193])).
% 50.06/33.15 tff(28202,plain,
% 50.06/33.15 (v129(constB188, bitIndex0) | (~v100(constB188))),
% 50.06/33.15 inference(unit_resolution,[status(thm)],[26732, 557, 28036])).
% 50.06/33.15 tff(28203,plain,
% 50.06/33.15 (v129(constB188, bitIndex0)),
% 50.06/33.15 inference(unit_resolution,[status(thm)],[28202, 28188])).
% 50.06/33.15 tff(28204,plain,
% 50.06/33.15 (v127(constB187, bitIndex0)),
% 50.06/33.15 inference(unit_resolution,[status(thm)],[26725, 28203])).
% 50.06/33.15 tff(28205,plain,
% 50.06/33.15 (v130(constB187, bitIndex0)),
% 50.06/33.15 inference(unit_resolution,[status(thm)],[26720, 28204])).
% 50.06/33.15 tff(28206,plain,
% 50.06/33.15 (~v120(constB187)),
% 50.06/33.15 inference(unit_resolution,[status(thm)],[26712, 1492, 28205])).
% 50.06/33.15 tff(28207,plain,
% 50.06/33.15 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB187)) | (~v130(constB187, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB187)) | (~v130(constB187, bitIndex0)))),
% 50.06/33.15 inference(rewrite,[status(thm)],[])).
% 50.06/33.15 tff(28208,plain,
% 50.06/33.15 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v119(constB187)) | (~v130(constB187, bitIndex0)))),
% 50.06/33.15 inference(quant_inst,[status(thm)],[])).
% 50.06/33.15 tff(28209,plain,
% 50.06/33.15 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v119(constB187)) | (~v130(constB187, bitIndex0))),
% 50.06/33.15 inference(modus_ponens,[status(thm)],[28208, 28207])).
% 50.06/33.15 tff(28210,plain,
% 50.06/33.15 (~v119(constB187)),
% 50.06/33.15 inference(unit_resolution,[status(thm)],[28209, 510, 28205])).
% 50.06/33.15 tff(28211,plain,
% 50.06/33.15 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB187)) | (~v130(constB187, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB187)) | (~v130(constB187, bitIndex0)))),
% 50.06/33.15 inference(rewrite,[status(thm)],[])).
% 50.06/33.15 tff(28212,plain,
% 50.06/33.15 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB187)) | (~v130(constB187, bitIndex0)))),
% 50.06/33.15 inference(quant_inst,[status(thm)],[])).
% 50.06/33.15 tff(28213,plain,
% 50.06/33.15 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB187)) | (~v130(constB187, bitIndex0))),
% 50.06/33.15 inference(modus_ponens,[status(thm)],[28212, 28211])).
% 50.06/33.15 tff(28214,plain,
% 50.06/33.15 (~v122(constB187)),
% 50.06/33.15 inference(unit_resolution,[status(thm)],[28213, 1997, 28205])).
% 50.06/33.15 tff(28215,plain,
% 50.06/33.15 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB187)) | (~v130(constB187, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB187)) | (~v130(constB187, bitIndex0)))),
% 50.06/33.15 inference(rewrite,[status(thm)],[])).
% 50.06/33.15 tff(28216,plain,
% 50.06/33.15 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB187)) | (~v130(constB187, bitIndex0)))),
% 50.06/33.15 inference(quant_inst,[status(thm)],[])).
% 50.06/33.15 tff(28217,plain,
% 50.06/33.15 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB187)) | (~v130(constB187, bitIndex0))),
% 50.06/33.15 inference(modus_ponens,[status(thm)],[28216, 28215])).
% 50.06/33.15 tff(28218,plain,
% 50.06/33.15 (~v123(constB187)),
% 50.06/33.15 inference(unit_resolution,[status(thm)],[28217, 975, 28205])).
% 50.06/33.15 tff(28219,plain,
% 50.06/33.15 (v129(constB188, bitIndex1)),
% 50.06/33.15 inference(unit_resolution,[status(thm)],[28154, 28188])).
% 50.06/33.15 tff(28220,plain,
% 50.06/33.15 (v127(constB187, bitIndex1)),
% 50.06/33.15 inference(unit_resolution,[status(thm)],[28159, 28219])).
% 50.06/33.15 tff(28221,plain,
% 50.06/33.15 (v130(constB187, bitIndex1)),
% 50.06/33.15 inference(unit_resolution,[status(thm)],[28167, 28220])).
% 50.06/33.15 tff(28222,plain,
% 50.06/33.15 (v124(constB187) | v121(constB187)),
% 50.06/33.15 inference(unit_resolution,[status(thm)],[28174, 1143, 28221, 28218, 28214, 28210, 28206])).
% 50.06/33.15 tff(28223,plain,
% 50.06/33.15 ($false),
% 50.06/33.15 inference(unit_resolution,[status(thm)],[28222, 28201, 28197])).
% 50.06/33.15 tff(28224,plain,((~v100(constB188)) | (~v90(constB188, bitIndex2)) | (~v90(constB188, bitIndex1)) | (~v90(constB188, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 50.06/33.15 tff(28225,plain,
% 50.06/33.15 (~v100(constB188)),
% 50.06/33.15 inference(unit_resolution,[status(thm)],[28224, 28187, 28036, 28055])).
% 50.06/33.15 tff(28226,plain,
% 50.06/33.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB187, bitIndex1) | (~nextState(constB187, constB188)) | v100(constB188) | (~v90(constB188, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB187, bitIndex1) | (~nextState(constB187, constB188)) | v100(constB188) | (~v90(constB188, bitIndex1)))),
% 50.06/33.15 inference(rewrite,[status(thm)],[])).
% 50.06/33.15 tff(28227,plain,
% 50.06/33.15 (((~nextState(constB187, constB188)) | v90(constB187, bitIndex1) | v100(constB188) | (~v90(constB188, bitIndex1))) <=> (v90(constB187, bitIndex1) | (~nextState(constB187, constB188)) | v100(constB188) | (~v90(constB188, bitIndex1)))),
% 50.06/33.15 inference(rewrite,[status(thm)],[])).
% 50.06/33.15 tff(28228,plain,
% 50.06/33.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB187, constB188)) | v90(constB187, bitIndex1) | v100(constB188) | (~v90(constB188, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB187, bitIndex1) | (~nextState(constB187, constB188)) | v100(constB188) | (~v90(constB188, bitIndex1))))),
% 50.06/33.15 inference(monotonicity,[status(thm)],[28227])).
% 50.06/33.15 tff(28229,plain,
% 50.06/33.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB187, constB188)) | v90(constB187, bitIndex1) | v100(constB188) | (~v90(constB188, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB187, bitIndex1) | (~nextState(constB187, constB188)) | v100(constB188) | (~v90(constB188, bitIndex1)))),
% 50.06/33.15 inference(transitivity,[status(thm)],[28228, 28226])).
% 50.06/33.15 tff(28230,plain,
% 50.06/33.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB187, constB188)) | v90(constB187, bitIndex1) | v100(constB188) | (~v90(constB188, bitIndex1)))),
% 50.06/33.15 inference(quant_inst,[status(thm)],[])).
% 50.06/33.15 tff(28231,plain,
% 50.06/33.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB187, bitIndex1) | (~nextState(constB187, constB188)) | v100(constB188) | (~v90(constB188, bitIndex1))),
% 50.06/33.15 inference(modus_ponens,[status(thm)],[28230, 28229])).
% 50.06/33.15 tff(28232,plain,
% 50.06/33.15 (v90(constB187, bitIndex1) | v100(constB188) | (~v90(constB188, bitIndex1))),
% 50.06/33.15 inference(unit_resolution,[status(thm)],[28231, 102, 26588])).
% 50.06/33.15 tff(28233,plain,
% 50.06/33.15 (v90(constB187, bitIndex1)),
% 50.06/33.15 inference(unit_resolution,[status(thm)],[28232, 28225, 28055])).
% 50.06/33.15 tff(28234,plain,
% 50.06/33.15 (v90(constB186, bitIndex1)),
% 50.06/33.15 inference(unit_resolution,[status(thm)],[24468, 28233])).
% 50.06/33.15 tff(28235,plain,
% 50.06/33.15 (v90(constB187, bitIndex0)),
% 50.06/33.15 inference(unit_resolution,[status(thm)],[28145, 28225, 28036])).
% 50.06/33.15 tff(28236,plain,
% 50.06/33.15 (v90(constB186, bitIndex0)),
% 50.06/33.15 inference(unit_resolution,[status(thm)],[28137, 28235])).
% 50.06/33.15 tff(28237,plain,
% 50.06/33.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB187, bitIndex2) | (~nextState(constB187, constB188)) | v100(constB188) | (~v90(constB188, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB187, bitIndex2) | (~nextState(constB187, constB188)) | v100(constB188) | (~v90(constB188, bitIndex2)))),
% 50.06/33.15 inference(rewrite,[status(thm)],[])).
% 50.06/33.15 tff(28238,plain,
% 50.06/33.15 (((~nextState(constB187, constB188)) | v90(constB187, bitIndex2) | v100(constB188) | (~v90(constB188, bitIndex2))) <=> (v90(constB187, bitIndex2) | (~nextState(constB187, constB188)) | v100(constB188) | (~v90(constB188, bitIndex2)))),
% 50.06/33.15 inference(rewrite,[status(thm)],[])).
% 50.06/33.15 tff(28239,plain,
% 50.06/33.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB187, constB188)) | v90(constB187, bitIndex2) | v100(constB188) | (~v90(constB188, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB187, bitIndex2) | (~nextState(constB187, constB188)) | v100(constB188) | (~v90(constB188, bitIndex2))))),
% 50.06/33.15 inference(monotonicity,[status(thm)],[28238])).
% 50.06/33.15 tff(28240,plain,
% 50.06/33.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB187, constB188)) | v90(constB187, bitIndex2) | v100(constB188) | (~v90(constB188, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB187, bitIndex2) | (~nextState(constB187, constB188)) | v100(constB188) | (~v90(constB188, bitIndex2)))),
% 50.06/33.15 inference(transitivity,[status(thm)],[28239, 28237])).
% 50.06/33.15 tff(28241,plain,
% 50.06/33.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB187, constB188)) | v90(constB187, bitIndex2) | v100(constB188) | (~v90(constB188, bitIndex2)))),
% 50.06/33.15 inference(quant_inst,[status(thm)],[])).
% 50.06/33.15 tff(28242,plain,
% 50.06/33.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB187, bitIndex2) | (~nextState(constB187, constB188)) | v100(constB188) | (~v90(constB188, bitIndex2))),
% 50.06/33.15 inference(modus_ponens,[status(thm)],[28241, 28240])).
% 50.06/33.15 tff(28243,plain,
% 50.06/33.15 (v90(constB187, bitIndex2) | v100(constB188) | (~v90(constB188, bitIndex2))),
% 50.06/33.15 inference(unit_resolution,[status(thm)],[28242, 81, 26588])).
% 50.06/33.15 tff(28244,plain,
% 50.06/33.15 (v90(constB187, bitIndex2)),
% 50.06/33.15 inference(unit_resolution,[status(thm)],[28243, 28225, 28187])).
% 50.06/33.15 tff(28245,plain,
% 50.06/33.15 (v90(constB186, bitIndex2)),
% 50.06/33.15 inference(unit_resolution,[status(thm)],[24512, 28244])).
% 50.06/33.15 tff(28246,assumption,(v90(constB186, bitIndex1)), introduced(assumption)).
% 50.06/33.15 tff(28247,assumption,(~v129(constB186, bitIndex0)), introduced(assumption)).
% 50.06/33.15 tff(28248,assumption,(v90(constB186, bitIndex0)), introduced(assumption)).
% 50.06/33.15 tff(28249,plain,
% 50.06/33.15 (v129(constB186, bitIndex0) | (~v100(constB186))),
% 50.06/33.15 inference(unit_resolution,[status(thm)],[28127, 557, 28248])).
% 50.06/33.15 tff(28250,plain,
% 50.06/33.15 (~v100(constB186)),
% 50.06/33.15 inference(unit_resolution,[status(thm)],[28249, 28247])).
% 50.06/33.15 tff(28251,plain,
% 50.06/33.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB185, bitIndex1) | (~nextState(constB185, constB186)) | v100(constB186) | (~v90(constB186, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB185, bitIndex1) | (~nextState(constB185, constB186)) | v100(constB186) | (~v90(constB186, bitIndex1)))),
% 50.06/33.15 inference(rewrite,[status(thm)],[])).
% 50.06/33.15 tff(28252,plain,
% 50.06/33.15 (((~nextState(constB185, constB186)) | v90(constB185, bitIndex1) | v100(constB186) | (~v90(constB186, bitIndex1))) <=> (v90(constB185, bitIndex1) | (~nextState(constB185, constB186)) | v100(constB186) | (~v90(constB186, bitIndex1)))),
% 50.06/33.15 inference(rewrite,[status(thm)],[])).
% 50.06/33.15 tff(28253,plain,
% 50.06/33.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB185, constB186)) | v90(constB185, bitIndex1) | v100(constB186) | (~v90(constB186, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | (v90(constB185, bitIndex1) | (~nextState(constB185, constB186)) | v100(constB186) | (~v90(constB186, bitIndex1))))),
% 50.06/33.15 inference(monotonicity,[status(thm)],[28252])).
% 50.06/33.15 tff(28254,plain,
% 50.06/33.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB185, constB186)) | v90(constB185, bitIndex1) | v100(constB186) | (~v90(constB186, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB185, bitIndex1) | (~nextState(constB185, constB186)) | v100(constB186) | (~v90(constB186, bitIndex1)))),
% 50.06/33.15 inference(transitivity,[status(thm)],[28253, 28251])).
% 50.06/33.15 tff(28255,plain,
% 50.06/33.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | ((~nextState(constB185, constB186)) | v90(constB185, bitIndex1) | v100(constB186) | (~v90(constB186, bitIndex1)))),
% 50.06/33.15 inference(quant_inst,[status(thm)],[])).
% 50.06/33.15 tff(28256,plain,
% 50.06/33.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex1) | v100(VarNext) | (~v90(VarNext, bitIndex1)))) | v90(constB185, bitIndex1) | (~nextState(constB185, constB186)) | v100(constB186) | (~v90(constB186, bitIndex1))),
% 50.06/33.16 inference(modus_ponens,[status(thm)],[28255, 28254])).
% 50.06/33.16 tff(28257,plain,
% 50.06/33.16 (v90(constB185, bitIndex1) | v100(constB186) | (~v90(constB186, bitIndex1))),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[28256, 102, 24175])).
% 50.06/33.16 tff(28258,plain,
% 50.06/33.16 (v90(constB185, bitIndex1)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[28257, 28250, 28246])).
% 50.06/33.16 tff(28259,plain,
% 50.06/33.16 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB185, bitIndex1)) | (~v124(constB185)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB185, bitIndex1)) | (~v124(constB185)))),
% 50.06/33.16 inference(rewrite,[status(thm)],[])).
% 50.06/33.16 tff(28260,plain,
% 50.06/33.16 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB185, bitIndex1)) | (~v124(constB185)))),
% 50.06/33.16 inference(quant_inst,[status(thm)],[])).
% 50.06/33.16 tff(28261,plain,
% 50.06/33.16 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB185, bitIndex1)) | (~v124(constB185))),
% 50.06/33.16 inference(modus_ponens,[status(thm)],[28260, 28259])).
% 50.06/33.16 tff(28262,plain,
% 50.06/33.16 (~v124(constB185)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[28261, 763, 28258])).
% 50.06/33.16 tff(28263,assumption,(v90(constB186, bitIndex2)), introduced(assumption)).
% 50.06/33.16 tff(28264,plain,
% 50.06/33.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB185, bitIndex2) | (~nextState(constB185, constB186)) | v100(constB186) | (~v90(constB186, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB185, bitIndex2) | (~nextState(constB185, constB186)) | v100(constB186) | (~v90(constB186, bitIndex2)))),
% 50.06/33.16 inference(rewrite,[status(thm)],[])).
% 50.06/33.16 tff(28265,plain,
% 50.06/33.16 (((~nextState(constB185, constB186)) | v90(constB185, bitIndex2) | v100(constB186) | (~v90(constB186, bitIndex2))) <=> (v90(constB185, bitIndex2) | (~nextState(constB185, constB186)) | v100(constB186) | (~v90(constB186, bitIndex2)))),
% 50.06/33.16 inference(rewrite,[status(thm)],[])).
% 50.06/33.16 tff(28266,plain,
% 50.06/33.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB185, constB186)) | v90(constB185, bitIndex2) | v100(constB186) | (~v90(constB186, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | (v90(constB185, bitIndex2) | (~nextState(constB185, constB186)) | v100(constB186) | (~v90(constB186, bitIndex2))))),
% 50.06/33.16 inference(monotonicity,[status(thm)],[28265])).
% 50.06/33.16 tff(28267,plain,
% 50.06/33.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB185, constB186)) | v90(constB185, bitIndex2) | v100(constB186) | (~v90(constB186, bitIndex2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB185, bitIndex2) | (~nextState(constB185, constB186)) | v100(constB186) | (~v90(constB186, bitIndex2)))),
% 50.06/33.16 inference(transitivity,[status(thm)],[28266, 28264])).
% 50.06/33.16 tff(28268,plain,
% 50.06/33.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | ((~nextState(constB185, constB186)) | v90(constB185, bitIndex2) | v100(constB186) | (~v90(constB186, bitIndex2)))),
% 50.06/33.16 inference(quant_inst,[status(thm)],[])).
% 50.06/33.16 tff(28269,plain,
% 50.06/33.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex2) | v100(VarNext) | (~v90(VarNext, bitIndex2)))) | v90(constB185, bitIndex2) | (~nextState(constB185, constB186)) | v100(constB186) | (~v90(constB186, bitIndex2))),
% 50.06/33.16 inference(modus_ponens,[status(thm)],[28268, 28267])).
% 50.06/33.16 tff(28270,plain,
% 50.06/33.16 (v90(constB185, bitIndex2) | v100(constB186) | (~v90(constB186, bitIndex2))),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[28269, 81, 24175])).
% 50.06/33.16 tff(28271,plain,
% 50.06/33.16 (v90(constB185, bitIndex2)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[28270, 28250, 28263])).
% 50.06/33.16 tff(28272,plain,
% 50.06/33.16 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB185, bitIndex2)) | (~v122(constB185)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB185, bitIndex2)) | (~v122(constB185)))),
% 50.06/33.16 inference(rewrite,[status(thm)],[])).
% 50.06/33.16 tff(28273,plain,
% 50.06/33.16 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB185, bitIndex2)) | (~v122(constB185)))),
% 50.06/33.16 inference(quant_inst,[status(thm)],[])).
% 50.06/33.16 tff(28274,plain,
% 50.06/33.16 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB185, bitIndex2)) | (~v122(constB185))),
% 50.06/33.16 inference(modus_ponens,[status(thm)],[28273, 28272])).
% 50.06/33.16 tff(28275,plain,
% 50.06/33.16 (~v122(constB185)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[28274, 894, 28271])).
% 50.06/33.16 tff(28276,plain,
% 50.06/33.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB185, bitIndex0) | (~nextState(constB185, constB186)) | v100(constB186) | (~v90(constB186, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB185, bitIndex0) | (~nextState(constB185, constB186)) | v100(constB186) | (~v90(constB186, bitIndex0)))),
% 50.06/33.16 inference(rewrite,[status(thm)],[])).
% 50.06/33.16 tff(28277,plain,
% 50.06/33.16 (((~nextState(constB185, constB186)) | v90(constB185, bitIndex0) | v100(constB186) | (~v90(constB186, bitIndex0))) <=> (v90(constB185, bitIndex0) | (~nextState(constB185, constB186)) | v100(constB186) | (~v90(constB186, bitIndex0)))),
% 50.06/33.16 inference(rewrite,[status(thm)],[])).
% 50.06/33.16 tff(28278,plain,
% 50.06/33.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB185, constB186)) | v90(constB185, bitIndex0) | v100(constB186) | (~v90(constB186, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB185, bitIndex0) | (~nextState(constB185, constB186)) | v100(constB186) | (~v90(constB186, bitIndex0))))),
% 50.06/33.16 inference(monotonicity,[status(thm)],[28277])).
% 50.06/33.16 tff(28279,plain,
% 50.06/33.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB185, constB186)) | v90(constB185, bitIndex0) | v100(constB186) | (~v90(constB186, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB185, bitIndex0) | (~nextState(constB185, constB186)) | v100(constB186) | (~v90(constB186, bitIndex0)))),
% 50.06/33.16 inference(transitivity,[status(thm)],[28278, 28276])).
% 50.06/33.16 tff(28280,plain,
% 50.06/33.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB185, constB186)) | v90(constB185, bitIndex0) | v100(constB186) | (~v90(constB186, bitIndex0)))),
% 50.06/33.16 inference(quant_inst,[status(thm)],[])).
% 50.06/33.16 tff(28281,plain,
% 50.06/33.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB185, bitIndex0) | (~nextState(constB185, constB186)) | v100(constB186) | (~v90(constB186, bitIndex0))),
% 50.06/33.16 inference(modus_ponens,[status(thm)],[28280, 28279])).
% 50.06/33.16 tff(28282,plain,
% 50.06/33.16 (v90(constB185, bitIndex0) | v100(constB186) | (~v90(constB186, bitIndex0))),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[28281, 123, 24175])).
% 50.06/33.16 tff(28283,plain,
% 50.06/33.16 (v90(constB185, bitIndex0)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[28282, 28250, 28248])).
% 50.06/33.16 tff(28284,plain,
% 50.06/33.16 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | ((~v90(constB185, bitIndex0)) | (~v121(constB185)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | (~v90(constB185, bitIndex0)) | (~v121(constB185)))),
% 50.06/33.16 inference(rewrite,[status(thm)],[])).
% 50.06/33.16 tff(28285,plain,
% 50.06/33.16 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | ((~v90(constB185, bitIndex0)) | (~v121(constB185)))),
% 50.06/33.16 inference(quant_inst,[status(thm)],[])).
% 50.06/33.16 tff(28286,plain,
% 50.06/33.16 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | (~v90(constB185, bitIndex0)) | (~v121(constB185))),
% 50.06/33.16 inference(modus_ponens,[status(thm)],[28285, 28284])).
% 50.06/33.16 tff(28287,plain,
% 50.06/33.16 (~v121(constB185)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[28286, 3031, 28283])).
% 50.06/33.16 tff(28288,plain,
% 50.06/33.16 (~v127(constB185, bitIndex0)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[24526, 28247])).
% 50.06/33.16 tff(28289,plain,
% 50.06/33.16 (~v130(constB185, bitIndex0)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[24521, 28288])).
% 50.06/33.16 tff(28290,plain,
% 50.06/33.16 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v90(constB185, bitIndex0)) | (~v119(constB185)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v90(constB185, bitIndex0)) | (~v119(constB185)))),
% 50.06/33.16 inference(rewrite,[status(thm)],[])).
% 50.06/33.16 tff(28291,plain,
% 50.06/33.16 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v90(constB185, bitIndex0)) | (~v119(constB185)))),
% 50.06/33.16 inference(quant_inst,[status(thm)],[])).
% 50.06/33.16 tff(28292,plain,
% 50.06/33.16 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v90(constB185, bitIndex0)) | (~v119(constB185))),
% 50.06/33.16 inference(modus_ponens,[status(thm)],[28291, 28290])).
% 50.06/33.16 tff(28293,plain,
% 50.06/33.16 (~v119(constB185)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[28292, 3414, 28283])).
% 50.06/33.16 tff(28294,plain,
% 50.06/33.16 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB185, bitIndex1)) | (~v120(constB185)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB185, bitIndex1)) | (~v120(constB185)))),
% 50.06/33.16 inference(rewrite,[status(thm)],[])).
% 50.06/33.16 tff(28295,plain,
% 50.06/33.16 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB185, bitIndex1)) | (~v120(constB185)))),
% 50.06/33.16 inference(quant_inst,[status(thm)],[])).
% 50.06/33.16 tff(28296,plain,
% 50.06/33.16 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB185, bitIndex1)) | (~v120(constB185))),
% 50.06/33.16 inference(modus_ponens,[status(thm)],[28295, 28294])).
% 50.06/33.16 tff(28297,plain,
% 50.06/33.16 (~v120(constB185)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[28296, 2312, 28258])).
% 50.06/33.16 tff(28298,plain,
% 50.06/33.16 (v130(constB185, bitIndex0) | v121(constB185) | v120(constB185) | v119(constB185) | v122(constB185) | v124(constB185)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[24320, 908, 24306])).
% 50.06/33.16 tff(28299,plain,
% 50.06/33.16 ($false),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[28298, 28297, 28293, 28289, 28287, 28275, 28262])).
% 50.06/33.16 tff(28300,plain,(v129(constB186, bitIndex0) | v123(constB185) | (~v90(constB186, bitIndex2)) | (~v90(constB186, bitIndex1)) | (~v90(constB186, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 50.06/33.16 tff(28301,plain,
% 50.06/33.16 (v129(constB186, bitIndex0)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[28300, 28245, 28236, 28234, 28177])).
% 50.06/33.16 tff(28302,plain,
% 50.06/33.16 (v127(constB185, bitIndex0)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[28120, 28301])).
% 50.06/33.16 tff(28303,plain,
% 50.06/33.16 (v130(constB185, bitIndex0)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[28115, 28302])).
% 50.06/33.16 tff(28304,plain,
% 50.06/33.16 (~v119(constB185)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[24409, 510, 28303])).
% 50.06/33.16 tff(28305,plain,
% 50.06/33.16 (v100(constB186) | (~v90(constB186, bitIndex0))),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[28282, 24150])).
% 50.06/33.16 tff(28306,plain,
% 50.06/33.16 (v100(constB186)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[28305, 28236])).
% 50.06/33.16 tff(28307,plain,
% 50.06/33.16 (v129(constB186, bitIndex1)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[24440, 483, 28306, 28234])).
% 50.06/33.16 tff(28308,plain,
% 50.06/33.16 (v127(constB185, bitIndex1)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[24433, 28307])).
% 50.06/33.16 tff(28309,plain,
% 50.06/33.16 (v130(constB185, bitIndex1)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[24428, 28308])).
% 50.06/33.16 tff(28310,plain,
% 50.06/33.16 (v121(constB185)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[24418, 28309, 28177, 28304])).
% 50.06/33.16 tff(28311,plain,
% 50.06/33.16 (v129(constB186, bitIndex2)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[24502, 1258, 28306, 28245])).
% 50.06/33.16 tff(28312,plain,
% 50.06/33.16 (v127(constB185, bitIndex2)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[24495, 28311])).
% 50.06/33.16 tff(28313,plain,
% 50.06/33.16 (v130(constB185, bitIndex2)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[24490, 28312])).
% 50.06/33.16 tff(28314,plain,
% 50.06/33.16 (((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB185)) | (~v130(constB185, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB185)) | (~v130(constB185, bitIndex2)))),
% 50.06/33.16 inference(rewrite,[status(thm)],[])).
% 50.06/33.16 tff(28315,plain,
% 50.06/33.16 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v121(constB185)) | (~v130(constB185, bitIndex2)))),
% 50.06/33.16 inference(quant_inst,[status(thm)],[])).
% 50.06/33.16 tff(28316,plain,
% 50.06/33.16 ((~![VarCurr: $i] : ((~v121(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v121(constB185)) | (~v130(constB185, bitIndex2))),
% 50.06/33.16 inference(modus_ponens,[status(thm)],[28315, 28314])).
% 50.06/33.16 tff(28317,plain,
% 50.06/33.16 ($false),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[28316, 1645, 28313, 28310])).
% 50.06/33.16 tff(28318,plain,(v100(constB190) | (~v90(constB188, bitIndex0)) | (~v90(constB190, bitIndex1)) | (~v90(constB190, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 50.06/33.16 tff(28319,plain,
% 50.06/33.16 (v100(constB190)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[28318, 28035, 27206, 27188])).
% 50.06/33.16 tff(28320,plain,
% 50.06/33.16 (v129(constB190, bitIndex2) | (~v100(constB190))),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[26933, 1258, 27188])).
% 50.06/33.16 tff(28321,plain,
% 50.06/33.16 (v129(constB190, bitIndex2)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[28320, 28319])).
% 50.06/33.16 tff(28322,plain,
% 50.06/33.16 (v127(constB189, bitIndex2)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[26926, 28321])).
% 50.06/33.16 tff(28323,plain,
% 50.06/33.16 (v130(constB189, bitIndex2)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[26921, 28322])).
% 50.06/33.16 tff(28324,plain,
% 50.06/33.16 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB189)) | (~v130(constB189, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB189)) | (~v130(constB189, bitIndex0)))),
% 50.06/33.16 inference(rewrite,[status(thm)],[])).
% 50.06/33.16 tff(28325,plain,
% 50.06/33.16 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v122(constB189)) | (~v130(constB189, bitIndex0)))),
% 50.06/33.16 inference(quant_inst,[status(thm)],[])).
% 50.06/33.16 tff(28326,plain,
% 50.06/33.16 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v122(constB189)) | (~v130(constB189, bitIndex0))),
% 50.06/33.16 inference(modus_ponens,[status(thm)],[28325, 28324])).
% 50.06/33.16 tff(28327,plain,
% 50.06/33.16 (~v122(constB189)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[28326, 1997, 27306])).
% 50.06/33.16 tff(28328,plain,
% 50.06/33.16 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB189)) | (~v130(constB189, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB189)) | (~v130(constB189, bitIndex0)))),
% 50.06/33.16 inference(rewrite,[status(thm)],[])).
% 50.06/33.16 tff(28329,plain,
% 50.06/33.16 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB189)) | (~v130(constB189, bitIndex0)))),
% 50.06/33.16 inference(quant_inst,[status(thm)],[])).
% 50.06/33.16 tff(28330,plain,
% 50.06/33.16 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB189)) | (~v130(constB189, bitIndex0))),
% 50.06/33.16 inference(modus_ponens,[status(thm)],[28329, 28328])).
% 50.06/33.16 tff(28331,plain,
% 50.06/33.16 (~v120(constB189)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[28330, 1492, 27306])).
% 50.06/33.16 tff(28332,plain,
% 50.06/33.16 (v100(constB192) | v124(constB189) | v123(constB189) | v122(constB189) | v119(constB189) | v120(constB189) | (~v100(constB190)) | (~v90(constB192, bitIndex2)) | (~v90(constB192, bitIndex1))),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[28029, 26862])).
% 50.06/33.16 tff(28333,plain,
% 50.06/33.16 (v124(constB189)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[28332, 28319, 27057, 27314, 28331, 27310, 28327, 27396, 27322])).
% 50.06/33.16 tff(28334,plain,
% 50.06/33.16 (((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB189)) | (~v130(constB189, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB189)) | (~v130(constB189, bitIndex2)))),
% 50.06/33.16 inference(rewrite,[status(thm)],[])).
% 50.06/33.16 tff(28335,plain,
% 50.06/33.16 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v124(constB189)) | (~v130(constB189, bitIndex2)))),
% 50.06/33.16 inference(quant_inst,[status(thm)],[])).
% 50.06/33.16 tff(28336,plain,
% 50.06/33.16 ((~![VarCurr: $i] : ((~v124(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v124(constB189)) | (~v130(constB189, bitIndex2))),
% 50.06/33.16 inference(modus_ponens,[status(thm)],[28335, 28334])).
% 50.06/33.16 tff(28337,plain,
% 50.06/33.16 ($false),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[28336, 2853, 28333, 28323])).
% 50.06/33.16 tff(28338,plain,(v100(constB192)), inference(lemma,lemma(discharge,[]))).
% 50.06/33.16 tff(28339,plain,
% 50.06/33.16 ((~v90(constB192, bitIndex1)) | v129(constB192, bitIndex1)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[27850, 483, 28338])).
% 50.06/33.16 tff(28340,plain,
% 50.06/33.16 (~v90(constB192, bitIndex1)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[28339, 27056])).
% 50.06/33.16 tff(28341,plain,
% 50.06/33.16 (~v90(constB193, bitIndex1)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[27823, 28340])).
% 50.06/33.16 tff(28342,plain,
% 50.06/33.16 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB191)) | v130(constB191, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB191)) | v130(constB191, bitIndex2))),
% 50.06/33.16 inference(rewrite,[status(thm)],[])).
% 50.06/33.16 tff(28343,plain,
% 50.06/33.16 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB191)) | v130(constB191, bitIndex2))),
% 50.06/33.16 inference(quant_inst,[status(thm)],[])).
% 50.06/33.16 tff(28344,plain,
% 50.06/33.16 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB191)) | v130(constB191, bitIndex2)),
% 50.06/33.16 inference(modus_ponens,[status(thm)],[28343, 28342])).
% 50.06/33.16 tff(28345,plain,
% 50.06/33.16 (v130(constB191, bitIndex2)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[28344, 1876, 27032])).
% 50.06/33.16 tff(28346,plain,
% 50.06/33.16 (((~![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))),
% 50.06/33.16 inference(rewrite,[status(thm)],[])).
% 50.06/33.16 tff(28347,plain,
% 50.06/33.16 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB191) | (~v130(constB191, bitIndex2)) | v127(constB191, bitIndex2))),
% 50.06/33.16 inference(quant_inst,[status(thm)],[])).
% 50.06/33.16 tff(28348,plain,
% 50.06/33.16 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB191) | (~v130(constB191, bitIndex2)) | v127(constB191, bitIndex2)),
% 50.06/33.16 inference(modus_ponens,[status(thm)],[28347, 28346])).
% 50.06/33.16 tff(28349,plain,
% 50.06/33.16 ((~v130(constB191, bitIndex2)) | v127(constB191, bitIndex2)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[28348, 351, 27040])).
% 50.06/33.16 tff(28350,plain,
% 50.06/33.16 (v127(constB191, bitIndex2)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[28349, 28345])).
% 50.06/33.16 tff(28351,plain,
% 50.06/33.16 (((~![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))),
% 50.06/33.16 inference(rewrite,[status(thm)],[])).
% 50.06/33.16 tff(28352,plain,
% 50.06/33.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB191, constB192)) | (~v127(constB191, bitIndex2)) | v129(constB192, bitIndex2))),
% 50.06/33.16 inference(quant_inst,[status(thm)],[])).
% 50.06/33.16 tff(28353,plain,
% 50.06/33.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB191, constB192)) | (~v127(constB191, bitIndex2)) | v129(constB192, bitIndex2)),
% 50.06/33.16 inference(modus_ponens,[status(thm)],[28352, 28351])).
% 50.06/33.16 tff(28354,plain,
% 50.06/33.16 ((~v127(constB191, bitIndex2)) | v129(constB192, bitIndex2)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[28353, 366, 27051])).
% 50.06/33.16 tff(28355,plain,
% 50.06/33.16 (v129(constB192, bitIndex2)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[28354, 28350])).
% 50.06/33.16 tff(28356,plain,
% 50.06/33.16 (((~![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)))),
% 50.06/33.16 inference(rewrite,[status(thm)],[])).
% 50.06/33.16 tff(28357,plain,
% 50.06/33.16 ((v90(constB192, bitIndex2) | (~v100(constB192)) | (~v129(constB192, bitIndex2))) <=> (v90(constB192, bitIndex2) | (~v129(constB192, bitIndex2)) | (~v100(constB192)))),
% 50.06/33.16 inference(rewrite,[status(thm)],[])).
% 50.06/33.16 tff(28358,plain,
% 50.06/33.16 (((~![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))))),
% 50.06/33.16 inference(monotonicity,[status(thm)],[28357])).
% 50.06/33.16 tff(28359,plain,
% 50.06/33.16 (((~![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)))),
% 50.06/33.16 inference(transitivity,[status(thm)],[28358, 28356])).
% 50.06/33.16 tff(28360,plain,
% 50.06/33.16 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB192, bitIndex2) | (~v100(constB192)) | (~v129(constB192, bitIndex2)))),
% 50.06/33.16 inference(quant_inst,[status(thm)],[])).
% 50.06/33.16 tff(28361,plain,
% 50.06/33.16 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB192, bitIndex2) | (~v129(constB192, bitIndex2)) | (~v100(constB192))),
% 50.06/33.16 inference(modus_ponens,[status(thm)],[28360, 28359])).
% 50.06/33.16 tff(28362,plain,
% 50.06/33.16 (v90(constB192, bitIndex2) | (~v129(constB192, bitIndex2))),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[28361, 381, 28338])).
% 50.06/33.16 tff(28363,plain,
% 50.06/33.16 (v90(constB192, bitIndex2)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[28362, 28355])).
% 50.06/33.16 tff(28364,plain,
% 50.06/33.16 (v90(constB193, bitIndex2)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[27404, 28363])).
% 50.06/33.16 tff(28365,assumption,(v130(constB191, bitIndex0)), introduced(assumption)).
% 50.06/33.16 tff(28366,plain,
% 50.06/33.16 (~v122(constB191)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[27893, 1997, 28365])).
% 50.06/33.16 tff(28367,plain,
% 50.06/33.16 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB191)) | (~v130(constB191, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB191)) | (~v130(constB191, bitIndex0)))),
% 50.06/33.16 inference(rewrite,[status(thm)],[])).
% 50.06/33.16 tff(28368,plain,
% 50.06/33.16 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB191)) | (~v130(constB191, bitIndex0)))),
% 50.06/33.16 inference(quant_inst,[status(thm)],[])).
% 50.06/33.16 tff(28369,plain,
% 50.06/33.16 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB191)) | (~v130(constB191, bitIndex0))),
% 50.06/33.16 inference(modus_ponens,[status(thm)],[28368, 28367])).
% 50.06/33.16 tff(28370,plain,
% 50.06/33.16 (~v120(constB191)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[28369, 1492, 28365])).
% 50.06/33.16 tff(28371,plain,
% 50.06/33.16 (((~![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))),
% 50.06/33.16 inference(rewrite,[status(thm)],[])).
% 50.06/33.16 tff(28372,plain,
% 50.06/33.16 (((~nextState(constB188, constB189)) | (~v90(constB188, bitIndex0)) | v100(constB189) | v90(constB189, bitIndex0)) <=> ((~v90(constB188, bitIndex0)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, bitIndex0))),
% 50.06/33.16 inference(rewrite,[status(thm)],[])).
% 50.06/33.16 tff(28373,plain,
% 50.06/33.16 (((~![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)))),
% 50.06/33.16 inference(monotonicity,[status(thm)],[28372])).
% 50.06/33.16 tff(28374,plain,
% 50.06/33.16 (((~![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))),
% 50.06/33.16 inference(transitivity,[status(thm)],[28373, 28371])).
% 50.06/33.16 tff(28375,plain,
% 50.06/33.16 ((~![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))),
% 50.06/33.16 inference(quant_inst,[status(thm)],[])).
% 50.06/33.16 tff(28376,plain,
% 50.06/33.16 ((~![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)),
% 50.06/33.16 inference(modus_ponens,[status(thm)],[28375, 28374])).
% 50.06/33.16 tff(28377,plain,
% 50.06/33.16 ((~v90(constB188, bitIndex0)) | v100(constB189) | v90(constB189, bitIndex0)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[28376, 1124, 26657])).
% 50.06/33.16 tff(28378,plain,
% 50.06/33.16 ((~v90(constB188, bitIndex0)) | v90(constB189, bitIndex0)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[28377, 26669])).
% 50.06/33.16 tff(28379,plain,
% 50.06/33.16 (~v90(constB188, bitIndex0)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[28378, 27473])).
% 50.06/33.16 tff(28380,assumption,(~v100(constB188)), introduced(assumption)).
% 50.06/33.16 tff(28381,plain,
% 50.06/33.16 (~v110(constB188)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[26621, 28380])).
% 50.06/33.16 tff(28382,plain,
% 50.06/33.16 (~v108(constB187)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[26595, 28381])).
% 50.06/33.16 tff(28383,plain,
% 50.06/33.16 (~v113(constB187)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[26584, 28382])).
% 50.06/33.16 tff(28384,plain,
% 50.06/33.16 (~v114(constB187)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[26564, 210, 28383])).
% 50.06/33.16 tff(28385,plain,
% 50.06/33.16 (~v115(constB187)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[26560, 199, 28384])).
% 50.06/33.16 tff(28386,plain,
% 50.06/33.16 (~v116(constB187)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[26556, 188, 28385])).
% 50.06/33.16 tff(28387,plain,
% 50.06/33.16 (~v117(constB187)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[26552, 177, 28386])).
% 50.06/33.16 tff(28388,plain,
% 50.06/33.16 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB187) | (~v121(constB187)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB187) | (~v121(constB187)))),
% 50.06/33.16 inference(rewrite,[status(thm)],[])).
% 50.06/33.16 tff(28389,plain,
% 50.06/33.16 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB187) | (~v121(constB187)))),
% 50.06/33.16 inference(quant_inst,[status(thm)],[])).
% 50.06/33.16 tff(28390,plain,
% 50.06/33.16 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB187) | (~v121(constB187))),
% 50.06/33.16 inference(modus_ponens,[status(thm)],[28389, 28388])).
% 50.06/33.16 tff(28391,plain,
% 50.06/33.16 (~v121(constB187)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[28390, 1562, 28387])).
% 50.06/33.16 tff(28392,plain,
% 50.06/33.16 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB187) | (~v123(constB187)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB187) | (~v123(constB187)))),
% 50.06/33.16 inference(rewrite,[status(thm)],[])).
% 50.06/33.16 tff(28393,plain,
% 50.06/33.16 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB187) | (~v123(constB187)))),
% 50.06/33.16 inference(quant_inst,[status(thm)],[])).
% 50.06/33.16 tff(28394,plain,
% 50.06/33.16 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB187) | (~v123(constB187))),
% 50.06/33.16 inference(modus_ponens,[status(thm)],[28393, 28392])).
% 50.06/33.16 tff(28395,plain,
% 50.06/33.16 (~v123(constB187)),
% 50.06/33.16 inference(unit_resolution,[status(thm)],[28394, 595, 28385])).
% 50.06/33.16 tff(28396,assumption,(~v90(constB188, bitIndex0)), introduced(assumption)).
% 50.06/33.16 tff(28397,plain,
% 50.06/33.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB187, bitIndex0)) | (~nextState(constB187, constB188)) | v100(constB188) | v90(constB188, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB187, bitIndex0)) | (~nextState(constB187, constB188)) | v100(constB188) | v90(constB188, bitIndex0))),
% 50.06/33.16 inference(rewrite,[status(thm)],[])).
% 50.06/33.16 tff(28398,plain,
% 50.06/33.16 (((~nextState(constB187, constB188)) | (~v90(constB187, bitIndex0)) | v100(constB188) | v90(constB188, bitIndex0)) <=> ((~v90(constB187, bitIndex0)) | (~nextState(constB187, constB188)) | v100(constB188) | v90(constB188, bitIndex0))),
% 50.06/33.16 inference(rewrite,[status(thm)],[])).
% 50.06/33.16 tff(28399,plain,
% 50.06/33.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB187, constB188)) | (~v90(constB187, bitIndex0)) | v100(constB188) | v90(constB188, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB187, bitIndex0)) | (~nextState(constB187, constB188)) | v100(constB188) | v90(constB188, bitIndex0)))),
% 50.06/33.16 inference(monotonicity,[status(thm)],[28398])).
% 50.06/33.16 tff(28400,plain,
% 50.06/33.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB187, constB188)) | (~v90(constB187, bitIndex0)) | v100(constB188) | v90(constB188, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB187, bitIndex0)) | (~nextState(constB187, constB188)) | v100(constB188) | v90(constB188, bitIndex0))),
% 50.06/33.16 inference(transitivity,[status(thm)],[28399, 28397])).
% 50.06/33.16 tff(28401,plain,
% 50.06/33.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB187, constB188)) | (~v90(constB187, bitIndex0)) | v100(constB188) | v90(constB188, bitIndex0))),
% 50.06/33.16 inference(quant_inst,[status(thm)],[])).
% 50.06/33.16 tff(28402,plain,
% 50.06/33.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB187, bitIndex0)) | (~nextState(constB187, constB188)) | v100(constB188) | v90(constB188, bitIndex0)),
% 50.06/33.16 inference(modus_ponens,[status(thm)],[28401, 28400])).
% 50.06/33.17 tff(28403,plain,
% 50.06/33.17 ((~v90(constB187, bitIndex0)) | v100(constB188) | v90(constB188, bitIndex0)),
% 50.06/33.17 inference(unit_resolution,[status(thm)],[28402, 1124, 26588])).
% 50.06/33.17 tff(28404,plain,
% 50.06/33.17 (~v90(constB187, bitIndex0)),
% 50.06/33.17 inference(unit_resolution,[status(thm)],[28403, 28380, 28396])).
% 50.06/33.17 tff(28405,plain,
% 50.06/33.17 (~v118(constB187)),
% 50.06/33.17 inference(unit_resolution,[status(thm)],[26548, 166, 28387])).
% 50.06/33.17 tff(28406,plain,
% 50.06/33.17 (((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB187) | (~v119(constB187)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB187) | (~v119(constB187)))),
% 50.06/33.17 inference(rewrite,[status(thm)],[])).
% 50.06/33.17 tff(28407,plain,
% 50.06/33.17 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | (v118(constB187) | (~v119(constB187)))),
% 50.06/33.17 inference(quant_inst,[status(thm)],[])).
% 50.06/33.17 tff(28408,plain,
% 50.06/33.17 ((~![VarCurr: $i] : (v118(VarCurr) | (~v119(VarCurr)))) | v118(constB187) | (~v119(constB187))),
% 50.06/33.17 inference(modus_ponens,[status(thm)],[28407, 28406])).
% 50.06/33.17 tff(28409,plain,
% 50.06/33.17 (~v119(constB187)),
% 50.06/33.17 inference(unit_resolution,[status(thm)],[28408, 155, 28405])).
% 50.06/33.17 tff(28410,assumption,(~v119(constB187)), introduced(assumption)).
% 50.06/33.17 tff(28411,assumption,(~v123(constB187)), introduced(assumption)).
% 50.06/33.17 tff(28412,assumption,(~v90(constB187, bitIndex0)), introduced(assumption)).
% 50.06/33.17 tff(28413,plain,
% 50.06/33.17 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB187, bitIndex0) | v90(constB187, bitIndex1) | (~v90(constB187, bitIndex2)) | v123(constB187))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB187, bitIndex0) | v90(constB187, bitIndex1) | (~v90(constB187, bitIndex2)) | v123(constB187))),
% 50.06/33.17 inference(rewrite,[status(thm)],[])).
% 50.06/33.17 tff(28414,plain,
% 50.06/33.17 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB187, bitIndex0) | v90(constB187, bitIndex1) | (~v90(constB187, bitIndex2)) | v123(constB187))),
% 50.06/33.17 inference(quant_inst,[status(thm)],[])).
% 50.06/33.17 tff(28415,plain,
% 50.06/33.17 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB187, bitIndex0) | v90(constB187, bitIndex1) | (~v90(constB187, bitIndex2)) | v123(constB187)),
% 50.06/33.17 inference(modus_ponens,[status(thm)],[28414, 28413])).
% 50.06/33.17 tff(28416,plain,
% 50.06/33.17 (v90(constB187, bitIndex1) | (~v90(constB187, bitIndex2)) | v123(constB187)),
% 50.06/33.17 inference(unit_resolution,[status(thm)],[28415, 584, 28412])).
% 50.06/33.17 tff(28417,plain,
% 50.06/33.17 (~v90(constB187, bitIndex2)),
% 50.06/33.17 inference(unit_resolution,[status(thm)],[28416, 26382, 28411])).
% 50.06/33.17 tff(28418,plain,
% 50.06/33.17 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB187) | v90(constB187, bitIndex0) | v90(constB187, bitIndex1) | v90(constB187, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB187) | v90(constB187, bitIndex0) | v90(constB187, bitIndex1) | v90(constB187, bitIndex2))),
% 50.06/33.17 inference(rewrite,[status(thm)],[])).
% 50.06/33.17 tff(28419,plain,
% 50.06/33.17 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB187) | v90(constB187, bitIndex0) | v90(constB187, bitIndex1) | v90(constB187, bitIndex2))),
% 50.06/33.17 inference(quant_inst,[status(thm)],[])).
% 50.06/33.17 tff(28420,plain,
% 50.06/33.17 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB187) | v90(constB187, bitIndex0) | v90(constB187, bitIndex1) | v90(constB187, bitIndex2)),
% 50.06/33.17 inference(modus_ponens,[status(thm)],[28419, 28418])).
% 50.06/33.17 tff(28421,plain,
% 50.06/33.17 (v119(constB187) | v90(constB187, bitIndex1) | v90(constB187, bitIndex2)),
% 50.06/33.17 inference(unit_resolution,[status(thm)],[28420, 144, 28412])).
% 50.06/33.17 tff(28422,plain,
% 50.06/33.17 ($false),
% 50.06/33.17 inference(unit_resolution,[status(thm)],[28421, 28417, 26382, 28410])).
% 50.06/33.17 tff(28423,plain,(v90(constB187, bitIndex1) | v119(constB187) | v90(constB187, bitIndex0) | v123(constB187)), inference(lemma,lemma(discharge,[]))).
% 50.06/33.17 tff(28424,plain,
% 50.06/33.17 (v90(constB187, bitIndex1)),
% 50.06/33.17 inference(unit_resolution,[status(thm)],[28423, 28409, 28404, 28395])).
% 50.06/33.17 tff(28425,plain,
% 50.06/33.17 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB187) | (~v125(constB187)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB187) | (~v125(constB187)))),
% 50.06/33.17 inference(rewrite,[status(thm)],[])).
% 50.06/33.17 tff(28426,plain,
% 50.06/33.17 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB187) | (~v125(constB187)))),
% 50.06/33.17 inference(quant_inst,[status(thm)],[])).
% 50.06/33.17 tff(28427,plain,
% 50.06/33.17 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB187) | (~v125(constB187))),
% 50.06/33.17 inference(modus_ponens,[status(thm)],[28426, 28425])).
% 50.06/33.17 tff(28428,plain,
% 50.06/33.17 (~v125(constB187)),
% 50.06/33.17 inference(unit_resolution,[status(thm)],[28427, 1031, 28383])).
% 50.06/33.17 tff(28429,plain,
% 50.06/33.17 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB187, bitIndex0) | (~v90(constB187, bitIndex1)) | (~v90(constB187, bitIndex2)) | v125(constB187))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB187, bitIndex0) | (~v90(constB187, bitIndex1)) | (~v90(constB187, bitIndex2)) | v125(constB187))),
% 50.06/33.17 inference(rewrite,[status(thm)],[])).
% 50.06/33.17 tff(28430,plain,
% 50.06/33.17 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB187, bitIndex0) | (~v90(constB187, bitIndex1)) | (~v90(constB187, bitIndex2)) | v125(constB187))),
% 50.06/33.17 inference(quant_inst,[status(thm)],[])).
% 50.06/33.17 tff(28431,plain,
% 50.06/33.17 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB187, bitIndex0) | (~v90(constB187, bitIndex1)) | (~v90(constB187, bitIndex2)) | v125(constB187)),
% 50.06/33.17 inference(modus_ponens,[status(thm)],[28430, 28429])).
% 50.06/33.17 tff(28432,plain,
% 50.06/33.17 ((~v90(constB187, bitIndex1)) | (~v90(constB187, bitIndex2)) | v125(constB187)),
% 50.06/33.17 inference(unit_resolution,[status(thm)],[28431, 1019, 28404])).
% 50.06/33.17 tff(28433,plain,
% 50.06/33.17 (~v90(constB187, bitIndex2)),
% 50.06/33.17 inference(unit_resolution,[status(thm)],[28432, 28424, 28428])).
% 50.06/33.17 tff(28434,plain,
% 50.06/33.17 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB187, bitIndex0) | (~v90(constB187, bitIndex1)) | v90(constB187, bitIndex2) | v121(constB187))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB187, bitIndex0) | (~v90(constB187, bitIndex1)) | v90(constB187, bitIndex2) | v121(constB187))),
% 50.06/33.17 inference(rewrite,[status(thm)],[])).
% 50.06/33.17 tff(28435,plain,
% 50.06/33.17 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB187, bitIndex0) | (~v90(constB187, bitIndex1)) | v90(constB187, bitIndex2) | v121(constB187))),
% 50.06/33.17 inference(quant_inst,[status(thm)],[])).
% 50.06/33.17 tff(28436,plain,
% 50.06/33.17 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB187, bitIndex0) | (~v90(constB187, bitIndex1)) | v90(constB187, bitIndex2) | v121(constB187)),
% 50.06/33.17 inference(modus_ponens,[status(thm)],[28435, 28434])).
% 50.06/33.17 tff(28437,plain,
% 50.06/33.17 ((~v90(constB187, bitIndex1)) | v90(constB187, bitIndex2) | v121(constB187)),
% 50.06/33.17 inference(unit_resolution,[status(thm)],[28436, 1551, 28404])).
% 50.06/33.17 tff(28438,plain,
% 50.06/33.17 ($false),
% 50.06/33.17 inference(unit_resolution,[status(thm)],[28437, 28433, 28424, 28391])).
% 50.06/33.17 tff(28439,plain,(v100(constB188) | v90(constB188, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 50.06/33.17 tff(28440,plain,
% 50.06/33.17 (v100(constB188)),
% 50.06/33.17 inference(unit_resolution,[status(thm)],[28439, 28379])).
% 50.06/33.17 tff(28441,plain,
% 50.06/33.17 (((~![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)))),
% 50.06/33.17 inference(rewrite,[status(thm)],[])).
% 50.06/33.17 tff(28442,plain,
% 50.06/33.17 ((v90(constB188, bitIndex0) | (~v100(constB188)) | (~v129(constB188, bitIndex0))) <=> (v90(constB188, bitIndex0) | (~v129(constB188, bitIndex0)) | (~v100(constB188)))),
% 50.06/33.17 inference(rewrite,[status(thm)],[])).
% 50.06/33.17 tff(28443,plain,
% 50.06/33.17 (((~![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))))),
% 50.06/33.17 inference(monotonicity,[status(thm)],[28442])).
% 50.06/33.17 tff(28444,plain,
% 50.06/33.17 (((~![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)))),
% 50.06/33.17 inference(transitivity,[status(thm)],[28443, 28441])).
% 50.06/33.17 tff(28445,plain,
% 50.06/33.17 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB188, bitIndex0) | (~v100(constB188)) | (~v129(constB188, bitIndex0)))),
% 50.06/33.17 inference(quant_inst,[status(thm)],[])).
% 50.06/33.17 tff(28446,plain,
% 50.06/33.17 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB188, bitIndex0) | (~v129(constB188, bitIndex0)) | (~v100(constB188))),
% 50.06/33.17 inference(modus_ponens,[status(thm)],[28445, 28444])).
% 50.06/33.17 tff(28447,plain,
% 50.06/33.17 (~v129(constB188, bitIndex0)),
% 50.06/33.17 inference(unit_resolution,[status(thm)],[28446, 1088, 28440, 28379])).
% 50.06/33.17 tff(28448,plain,
% 50.06/33.17 (((~![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))),
% 50.06/33.17 inference(rewrite,[status(thm)],[])).
% 50.06/33.17 tff(28449,plain,
% 50.06/33.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB187, constB188)) | (~v127(constB187, bitIndex0)) | v129(constB188, bitIndex0))),
% 50.06/33.17 inference(quant_inst,[status(thm)],[])).
% 50.06/33.17 tff(28450,plain,
% 50.06/33.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB187, constB188)) | (~v127(constB187, bitIndex0)) | v129(constB188, bitIndex0)),
% 50.06/33.17 inference(modus_ponens,[status(thm)],[28449, 28448])).
% 50.06/33.17 tff(28451,plain,
% 50.06/33.17 ((~v127(constB187, bitIndex0)) | v129(constB188, bitIndex0)),
% 50.06/33.17 inference(unit_resolution,[status(thm)],[28450, 944, 26588])).
% 50.06/33.17 tff(28452,plain,
% 50.06/33.17 (~v127(constB187, bitIndex0)),
% 50.06/33.17 inference(unit_resolution,[status(thm)],[28451, 28447])).
% 50.06/33.17 tff(28453,plain,
% 50.06/33.17 (((~![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))) | v26(constB187) | (~v130(constB187, bitIndex0)) | v127(constB187, bitIndex0))),
% 50.06/33.17 inference(rewrite,[status(thm)],[])).
% 50.06/33.17 tff(28454,plain,
% 50.06/33.17 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB187) | (~v130(constB187, bitIndex0)) | v127(constB187, bitIndex0))),
% 50.06/33.17 inference(quant_inst,[status(thm)],[])).
% 50.06/33.17 tff(28455,plain,
% 50.06/33.17 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB187) | (~v130(constB187, bitIndex0)) | v127(constB187, bitIndex0)),
% 50.06/33.17 inference(modus_ponens,[status(thm)],[28454, 28453])).
% 50.06/33.17 tff(28456,plain,
% 50.06/33.17 ((~v130(constB187, bitIndex0)) | v127(constB187, bitIndex0)),
% 50.06/33.17 inference(unit_resolution,[status(thm)],[28455, 926, 26630])).
% 50.06/33.17 tff(28457,plain,
% 50.06/33.17 (~v130(constB187, bitIndex0)),
% 50.06/33.17 inference(unit_resolution,[status(thm)],[28456, 28452])).
% 50.06/33.17 tff(28458,plain,
% 50.06/33.17 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB187)) | v130(constB187, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB187)) | v130(constB187, bitIndex0))),
% 50.06/33.17 inference(rewrite,[status(thm)],[])).
% 50.06/33.17 tff(28459,plain,
% 50.06/33.17 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB187)) | v130(constB187, bitIndex0))),
% 50.06/33.17 inference(quant_inst,[status(thm)],[])).
% 50.06/33.17 tff(28460,plain,
% 50.06/33.17 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB187)) | v130(constB187, bitIndex0)),
% 50.06/33.17 inference(modus_ponens,[status(thm)],[28459, 28458])).
% 50.06/33.17 tff(28461,plain,
% 50.06/33.17 (~v121(constB187)),
% 50.06/33.17 inference(unit_resolution,[status(thm)],[28460, 1748, 28457])).
% 50.06/33.17 tff(28462,plain,
% 50.06/33.17 (((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB187)) | v130(constB187, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB187)) | v130(constB187, bitIndex0))),
% 50.06/33.17 inference(rewrite,[status(thm)],[])).
% 50.06/33.17 tff(28463,plain,
% 50.06/33.17 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v124(constB187)) | v130(constB187, bitIndex0))),
% 50.06/33.17 inference(quant_inst,[status(thm)],[])).
% 50.06/33.17 tff(28464,plain,
% 50.06/33.17 ((~![VarCurr: $i] : ((~v124(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v124(constB187)) | v130(constB187, bitIndex0)),
% 50.06/33.17 inference(modus_ponens,[status(thm)],[28463, 28462])).
% 50.06/33.17 tff(28465,plain,
% 50.06/33.17 (~v124(constB187)),
% 50.06/33.17 inference(unit_resolution,[status(thm)],[28464, 3020, 28457])).
% 50.06/33.17 tff(28466,assumption,(~v90(constB189, bitIndex1)), introduced(assumption)).
% 50.06/33.17 tff(28467,plain,
% 50.06/33.17 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | (v90(constB189, bitIndex1) | (~v121(constB189)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | v90(constB189, bitIndex1) | (~v121(constB189)))),
% 50.06/33.17 inference(rewrite,[status(thm)],[])).
% 50.06/33.17 tff(28468,plain,
% 50.06/33.17 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | (v90(constB189, bitIndex1) | (~v121(constB189)))),
% 50.06/33.17 inference(quant_inst,[status(thm)],[])).
% 50.06/33.17 tff(28469,plain,
% 50.06/33.17 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | v90(constB189, bitIndex1) | (~v121(constB189))),
% 50.06/33.17 inference(modus_ponens,[status(thm)],[28468, 28467])).
% 50.06/33.17 tff(28470,plain,
% 50.06/33.17 (~v121(constB189)),
% 50.06/33.17 inference(unit_resolution,[status(thm)],[28469, 24225, 28466])).
% 50.06/33.17 tff(28471,assumption,(~v90(constB189, bitIndex2)), introduced(assumption)).
% 50.06/33.17 tff(28472,plain,
% 50.06/33.17 (((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB189) | v90(constB189, bitIndex0) | v90(constB189, bitIndex1) | v90(constB189, bitIndex2))) <=> ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB189) | v90(constB189, bitIndex0) | v90(constB189, bitIndex1) | v90(constB189, bitIndex2))),
% 50.06/33.17 inference(rewrite,[status(thm)],[])).
% 50.06/33.17 tff(28473,plain,
% 50.06/33.17 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (v119(constB189) | v90(constB189, bitIndex0) | v90(constB189, bitIndex1) | v90(constB189, bitIndex2))),
% 50.06/33.17 inference(quant_inst,[status(thm)],[])).
% 50.06/33.17 tff(28474,plain,
% 50.06/33.17 ((~![VarCurr: $i] : (v119(VarCurr) | v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | v119(constB189) | v90(constB189, bitIndex0) | v90(constB189, bitIndex1) | v90(constB189, bitIndex2)),
% 50.06/33.17 inference(modus_ponens,[status(thm)],[28473, 28472])).
% 50.06/33.17 tff(28475,plain,
% 50.06/33.17 (v119(constB189) | v90(constB189, bitIndex1) | v90(constB189, bitIndex2)),
% 50.06/33.17 inference(unit_resolution,[status(thm)],[28474, 144, 27473])).
% 50.06/33.17 tff(28476,plain,
% 50.06/33.17 (v119(constB189)),
% 50.06/33.17 inference(unit_resolution,[status(thm)],[28475, 28471, 28466])).
% 50.06/33.17 tff(28477,plain,
% 50.06/33.17 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB189)) | v130(constB189, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB189)) | v130(constB189, bitIndex2))),
% 50.06/33.17 inference(rewrite,[status(thm)],[])).
% 50.06/33.17 tff(28478,plain,
% 50.06/33.17 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB189)) | v130(constB189, bitIndex2))),
% 50.06/33.17 inference(quant_inst,[status(thm)],[])).
% 50.06/33.17 tff(28479,plain,
% 50.06/33.17 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB189)) | v130(constB189, bitIndex2)),
% 50.06/33.17 inference(modus_ponens,[status(thm)],[28478, 28477])).
% 50.06/33.17 tff(28480,plain,
% 50.06/33.17 (v130(constB189, bitIndex2)),
% 50.06/33.17 inference(unit_resolution,[status(thm)],[28479, 337, 28476])).
% 50.06/33.17 tff(28481,plain,
% 50.06/33.17 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | (v90(constB189, bitIndex2) | (~v123(constB189)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | v90(constB189, bitIndex2) | (~v123(constB189)))),
% 50.06/33.17 inference(rewrite,[status(thm)],[])).
% 50.06/33.17 tff(28482,plain,
% 50.06/33.17 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | (v90(constB189, bitIndex2) | (~v123(constB189)))),
% 50.06/33.17 inference(quant_inst,[status(thm)],[])).
% 50.06/33.17 tff(28483,plain,
% 50.06/33.17 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v123(VarCurr)))) | v90(constB189, bitIndex2) | (~v123(constB189))),
% 50.06/33.17 inference(modus_ponens,[status(thm)],[28482, 28481])).
% 50.06/33.17 tff(28484,plain,
% 50.06/33.17 (~v123(constB189)),
% 50.06/33.17 inference(unit_resolution,[status(thm)],[28483, 3342, 28471])).
% 50.06/33.17 tff(28485,assumption,(v130(constB189, bitIndex2)), introduced(assumption)).
% 50.06/33.17 tff(28486,plain,
% 50.06/33.17 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB189)) | (~v130(constB189, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB189)) | (~v130(constB189, bitIndex2)))),
% 50.06/33.17 inference(rewrite,[status(thm)],[])).
% 50.06/33.17 tff(28487,plain,
% 50.06/33.17 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | ((~v120(constB189)) | (~v130(constB189, bitIndex2)))),
% 50.06/33.17 inference(quant_inst,[status(thm)],[])).
% 50.06/33.17 tff(28488,plain,
% 50.06/33.17 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex2)))) | (~v120(constB189)) | (~v130(constB189, bitIndex2))),
% 50.06/33.17 inference(modus_ponens,[status(thm)],[28487, 28486])).
% 50.06/33.17 tff(28489,plain,
% 50.06/33.17 (~v120(constB189)),
% 50.06/33.17 inference(unit_resolution,[status(thm)],[28488, 1383, 28485])).
% 50.06/33.17 tff(28490,plain,
% 50.06/33.17 (~v124(constB189)),
% 50.06/33.17 inference(unit_resolution,[status(thm)],[28336, 2853, 28485])).
% 50.06/33.17 tff(28491,assumption,(~v121(constB189)), introduced(assumption)).
% 50.06/33.17 tff(28492,plain,
% 50.06/33.17 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB189, bitIndex2)) | v124(constB189) | v123(constB189) | v120(constB189) | v119(constB189) | v122(constB189) | v121(constB189))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB189, bitIndex2)) | v124(constB189) | v123(constB189) | v120(constB189) | v119(constB189) | v122(constB189) | v121(constB189))),
% 50.06/33.17 inference(rewrite,[status(thm)],[])).
% 50.06/33.17 tff(28493,plain,
% 50.06/33.17 ((v120(constB189) | v119(constB189) | v121(constB189) | v122(constB189) | v123(constB189) | v124(constB189) | (~v130(constB189, bitIndex2))) <=> ((~v130(constB189, bitIndex2)) | v124(constB189) | v123(constB189) | v120(constB189) | v119(constB189) | v122(constB189) | v121(constB189))),
% 50.06/33.17 inference(rewrite,[status(thm)],[])).
% 50.06/33.17 tff(28494,plain,
% 50.06/33.17 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB189) | v119(constB189) | v121(constB189) | v122(constB189) | v123(constB189) | v124(constB189) | (~v130(constB189, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB189, bitIndex2)) | v124(constB189) | v123(constB189) | v120(constB189) | v119(constB189) | v122(constB189) | v121(constB189)))),
% 50.06/33.17 inference(monotonicity,[status(thm)],[28493])).
% 50.06/33.17 tff(28495,plain,
% 50.06/33.17 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB189) | v119(constB189) | v121(constB189) | v122(constB189) | v123(constB189) | v124(constB189) | (~v130(constB189, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB189, bitIndex2)) | v124(constB189) | v123(constB189) | v120(constB189) | v119(constB189) | v122(constB189) | v121(constB189))),
% 50.06/33.17 inference(transitivity,[status(thm)],[28494, 28492])).
% 50.06/33.17 tff(28496,plain,
% 50.06/33.17 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB189) | v119(constB189) | v121(constB189) | v122(constB189) | v123(constB189) | v124(constB189) | (~v130(constB189, bitIndex2)))),
% 50.06/33.17 inference(quant_inst,[status(thm)],[])).
% 50.06/33.17 tff(28497,plain,
% 50.06/33.17 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB189, bitIndex2)) | v124(constB189) | v123(constB189) | v120(constB189) | v119(constB189) | v122(constB189) | v121(constB189)),
% 50.06/33.17 inference(modus_ponens,[status(thm)],[28496, 28495])).
% 50.06/33.17 tff(28498,plain,
% 50.06/33.17 ((~v130(constB189, bitIndex2)) | v124(constB189) | v123(constB189) | v120(constB189) | v119(constB189) | v122(constB189)),
% 50.06/33.17 inference(unit_resolution,[status(thm)],[28497, 1192, 28491])).
% 50.06/33.17 tff(28499,plain,
% 50.06/33.17 (v119(constB189)),
% 50.06/33.17 inference(unit_resolution,[status(thm)],[28498, 27797, 28490, 27967, 28489, 28485])).
% 50.06/33.17 tff(28500,plain,
% 50.06/33.17 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB189)) | (~v90(constB189, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB189)) | (~v90(constB189, bitIndex2)))),
% 50.06/33.17 inference(rewrite,[status(thm)],[])).
% 50.06/33.17 tff(28501,plain,
% 50.06/33.17 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB189)) | (~v90(constB189, bitIndex2)))),
% 50.06/33.17 inference(quant_inst,[status(thm)],[])).
% 50.06/33.17 tff(28502,plain,
% 50.06/33.17 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB189)) | (~v90(constB189, bitIndex2))),
% 50.06/33.17 inference(modus_ponens,[status(thm)],[28501, 28500])).
% 50.06/33.17 tff(28503,plain,
% 50.06/33.17 (~v90(constB189, bitIndex2)),
% 50.06/33.17 inference(unit_resolution,[status(thm)],[28502, 861, 28499])).
% 50.06/33.17 tff(28504,plain,
% 50.06/33.17 (((~![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))),
% 50.06/33.17 inference(rewrite,[status(thm)],[])).
% 50.06/33.17 tff(28505,plain,
% 50.06/33.17 (((~nextState(constB188, constB189)) | (~v90(constB188, bitIndex2)) | v100(constB189) | v90(constB189, bitIndex2)) <=> ((~v90(constB188, bitIndex2)) | (~nextState(constB188, constB189)) | v100(constB189) | v90(constB189, bitIndex2))),
% 50.06/33.17 inference(rewrite,[status(thm)],[])).
% 50.06/33.17 tff(28506,plain,
% 50.06/33.17 (((~![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)))),
% 50.06/33.17 inference(monotonicity,[status(thm)],[28505])).
% 50.06/33.17 tff(28507,plain,
% 50.06/33.17 (((~![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))),
% 50.06/33.17 inference(transitivity,[status(thm)],[28506, 28504])).
% 50.06/33.17 tff(28508,plain,
% 50.06/33.17 ((~![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))),
% 50.06/33.17 inference(quant_inst,[status(thm)],[])).
% 50.06/33.17 tff(28509,plain,
% 50.06/33.17 ((~![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)),
% 50.06/33.17 inference(modus_ponens,[status(thm)],[28508, 28507])).
% 50.06/33.17 tff(28510,plain,
% 50.06/33.17 ((~v90(constB188, bitIndex2)) | v100(constB189) | v90(constB189, bitIndex2)),
% 50.06/33.17 inference(unit_resolution,[status(thm)],[28509, 417, 26657])).
% 50.06/33.17 tff(28511,plain,
% 50.06/33.17 ((~v90(constB188, bitIndex2)) | v90(constB189, bitIndex2)),
% 50.06/33.17 inference(unit_resolution,[status(thm)],[28510, 26669])).
% 50.06/33.17 tff(28512,plain,
% 50.06/33.17 (~v90(constB188, bitIndex2)),
% 50.06/33.17 inference(unit_resolution,[status(thm)],[28511, 28503])).
% 50.06/33.17 tff(28513,plain,
% 50.06/33.17 (((~![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)))),
% 50.06/33.17 inference(rewrite,[status(thm)],[])).
% 50.06/33.17 tff(28514,plain,
% 50.06/33.17 ((v90(constB188, bitIndex2) | (~v100(constB188)) | (~v129(constB188, bitIndex2))) <=> (v90(constB188, bitIndex2) | (~v129(constB188, bitIndex2)) | (~v100(constB188)))),
% 50.06/33.17 inference(rewrite,[status(thm)],[])).
% 50.06/33.17 tff(28515,plain,
% 50.06/33.17 (((~![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))))),
% 50.06/33.17 inference(monotonicity,[status(thm)],[28514])).
% 50.06/33.17 tff(28516,plain,
% 50.06/33.17 (((~![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)))),
% 50.06/33.17 inference(transitivity,[status(thm)],[28515, 28513])).
% 50.06/33.17 tff(28517,plain,
% 50.06/33.17 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB188, bitIndex2) | (~v100(constB188)) | (~v129(constB188, bitIndex2)))),
% 50.06/33.17 inference(quant_inst,[status(thm)],[])).
% 50.06/33.17 tff(28518,plain,
% 50.06/33.17 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB188, bitIndex2) | (~v129(constB188, bitIndex2)) | (~v100(constB188))),
% 50.06/33.17 inference(modus_ponens,[status(thm)],[28517, 28516])).
% 50.06/33.17 tff(28519,plain,
% 50.06/33.17 (v90(constB188, bitIndex2) | (~v129(constB188, bitIndex2))),
% 50.06/33.17 inference(unit_resolution,[status(thm)],[28518, 381, 28440])).
% 50.06/33.17 tff(28520,plain,
% 50.06/33.17 (~v129(constB188, bitIndex2)),
% 50.06/33.17 inference(unit_resolution,[status(thm)],[28519, 28512])).
% 50.06/33.17 tff(28521,plain,
% 50.06/33.17 (((~![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))),
% 50.06/33.17 inference(rewrite,[status(thm)],[])).
% 50.06/33.17 tff(28522,plain,
% 50.06/33.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB187, constB188)) | (~v127(constB187, bitIndex2)) | v129(constB188, bitIndex2))),
% 50.06/33.17 inference(quant_inst,[status(thm)],[])).
% 50.06/33.17 tff(28523,plain,
% 50.06/33.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB187, constB188)) | (~v127(constB187, bitIndex2)) | v129(constB188, bitIndex2)),
% 50.06/33.17 inference(modus_ponens,[status(thm)],[28522, 28521])).
% 50.06/33.17 tff(28524,plain,
% 50.06/33.17 ((~v127(constB187, bitIndex2)) | v129(constB188, bitIndex2)),
% 50.06/33.17 inference(unit_resolution,[status(thm)],[28523, 366, 26588])).
% 50.06/33.17 tff(28525,plain,
% 50.06/33.17 (~v127(constB187, bitIndex2)),
% 50.06/33.17 inference(unit_resolution,[status(thm)],[28524, 28520])).
% 50.06/33.17 tff(28526,plain,
% 50.06/33.17 (((~![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))),
% 50.06/33.17 inference(rewrite,[status(thm)],[])).
% 50.06/33.17 tff(28527,plain,
% 50.06/33.17 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB187) | (~v130(constB187, bitIndex2)) | v127(constB187, bitIndex2))),
% 50.06/33.17 inference(quant_inst,[status(thm)],[])).
% 50.06/33.17 tff(28528,plain,
% 50.06/33.17 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB187) | (~v130(constB187, bitIndex2)) | v127(constB187, bitIndex2)),
% 50.06/33.17 inference(modus_ponens,[status(thm)],[28527, 28526])).
% 50.06/33.17 tff(28529,plain,
% 50.06/33.17 ((~v130(constB187, bitIndex2)) | v127(constB187, bitIndex2)),
% 50.06/33.17 inference(unit_resolution,[status(thm)],[28528, 351, 26630])).
% 50.06/33.17 tff(28530,plain,
% 50.06/33.17 (~v130(constB187, bitIndex2)),
% 50.06/33.17 inference(unit_resolution,[status(thm)],[28529, 28525])).
% 50.06/33.17 tff(28531,plain,
% 50.06/33.17 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB187)) | v130(constB187, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB187)) | v130(constB187, bitIndex2))),
% 50.06/33.17 inference(rewrite,[status(thm)],[])).
% 50.06/33.17 tff(28532,plain,
% 50.06/33.17 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB187)) | v130(constB187, bitIndex2))),
% 50.06/33.17 inference(quant_inst,[status(thm)],[])).
% 50.06/33.17 tff(28533,plain,
% 50.06/33.17 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB187)) | v130(constB187, bitIndex2)),
% 50.06/33.17 inference(modus_ponens,[status(thm)],[28532, 28531])).
% 50.06/33.17 tff(28534,plain,
% 50.06/33.17 (~v122(constB187)),
% 50.06/33.17 inference(unit_resolution,[status(thm)],[28533, 1876, 28530])).
% 50.06/33.17 tff(28535,plain,
% 50.06/33.17 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB189)) | (~v90(constB189, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB189)) | (~v90(constB189, bitIndex1)))),
% 50.06/33.18 inference(rewrite,[status(thm)],[])).
% 50.06/33.18 tff(28536,plain,
% 50.06/33.18 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB189)) | (~v90(constB189, bitIndex1)))),
% 50.06/33.18 inference(quant_inst,[status(thm)],[])).
% 50.06/33.18 tff(28537,plain,
% 50.06/33.18 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB189)) | (~v90(constB189, bitIndex1))),
% 50.06/33.18 inference(modus_ponens,[status(thm)],[28536, 28535])).
% 50.06/33.18 tff(28538,plain,
% 50.06/33.18 (~v90(constB189, bitIndex1)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28537, 2293, 28499])).
% 50.06/33.18 tff(28539,plain,
% 50.06/33.18 (~v90(constB188, bitIndex1)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[26708, 28538])).
% 50.06/33.18 tff(28540,plain,
% 50.06/33.18 (v90(constB188, bitIndex1) | (~v129(constB188, bitIndex1))),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[26698, 711, 28440])).
% 50.06/33.18 tff(28541,plain,
% 50.06/33.18 (~v129(constB188, bitIndex1)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28540, 28539])).
% 50.06/33.18 tff(28542,plain,
% 50.06/33.18 (~v127(constB187, bitIndex1)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[26691, 28541])).
% 50.06/33.18 tff(28543,plain,
% 50.06/33.18 (~v130(constB187, bitIndex1)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[26686, 28542])).
% 50.06/33.18 tff(28544,plain,
% 50.06/33.18 (~v120(constB187)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[26681, 1450, 28543])).
% 50.06/33.18 tff(28545,plain,
% 50.06/33.18 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB187)) | v130(constB187, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB187)) | v130(constB187, bitIndex2))),
% 50.06/33.18 inference(rewrite,[status(thm)],[])).
% 50.06/33.18 tff(28546,plain,
% 50.06/33.18 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB187)) | v130(constB187, bitIndex2))),
% 50.06/33.18 inference(quant_inst,[status(thm)],[])).
% 50.06/33.18 tff(28547,plain,
% 50.06/33.18 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB187)) | v130(constB187, bitIndex2)),
% 50.06/33.18 inference(modus_ponens,[status(thm)],[28546, 28545])).
% 50.06/33.18 tff(28548,plain,
% 50.06/33.18 (~v123(constB187)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28547, 836, 28530])).
% 50.06/33.18 tff(28549,plain,
% 50.06/33.18 (((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB187)) | v130(constB187, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB187)) | v130(constB187, bitIndex2))),
% 50.06/33.18 inference(rewrite,[status(thm)],[])).
% 50.06/33.18 tff(28550,plain,
% 50.06/33.18 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v119(constB187)) | v130(constB187, bitIndex2))),
% 50.06/33.18 inference(quant_inst,[status(thm)],[])).
% 50.06/33.18 tff(28551,plain,
% 50.06/33.18 ((~![VarCurr: $i] : ((~v119(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v119(constB187)) | v130(constB187, bitIndex2)),
% 50.06/33.18 inference(modus_ponens,[status(thm)],[28550, 28549])).
% 50.06/33.18 tff(28552,plain,
% 50.06/33.18 (~v119(constB187)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28551, 337, 28530])).
% 50.06/33.18 tff(28553,plain,
% 50.06/33.18 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB187, bitIndex0) | v124(constB187) | v120(constB187) | v119(constB187) | v121(constB187) | v122(constB187) | v123(constB187))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB187, bitIndex0) | v124(constB187) | v120(constB187) | v119(constB187) | v121(constB187) | v122(constB187) | v123(constB187))),
% 50.06/33.18 inference(rewrite,[status(thm)],[])).
% 50.06/33.18 tff(28554,plain,
% 50.06/33.18 ((v120(constB187) | v119(constB187) | v121(constB187) | v122(constB187) | v123(constB187) | v124(constB187) | v130(constB187, bitIndex0)) <=> (v130(constB187, bitIndex0) | v124(constB187) | v120(constB187) | v119(constB187) | v121(constB187) | v122(constB187) | v123(constB187))),
% 50.06/33.18 inference(rewrite,[status(thm)],[])).
% 50.06/33.18 tff(28555,plain,
% 50.06/33.18 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB187) | v119(constB187) | v121(constB187) | v122(constB187) | v123(constB187) | v124(constB187) | v130(constB187, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB187, bitIndex0) | v124(constB187) | v120(constB187) | v119(constB187) | v121(constB187) | v122(constB187) | v123(constB187)))),
% 50.06/33.18 inference(monotonicity,[status(thm)],[28554])).
% 50.06/33.18 tff(28556,plain,
% 50.06/33.18 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB187) | v119(constB187) | v121(constB187) | v122(constB187) | v123(constB187) | v124(constB187) | v130(constB187, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB187, bitIndex0) | v124(constB187) | v120(constB187) | v119(constB187) | v121(constB187) | v122(constB187) | v123(constB187))),
% 50.06/33.18 inference(transitivity,[status(thm)],[28555, 28553])).
% 50.06/33.18 tff(28557,plain,
% 50.06/33.18 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB187) | v119(constB187) | v121(constB187) | v122(constB187) | v123(constB187) | v124(constB187) | v130(constB187, bitIndex0))),
% 50.06/33.18 inference(quant_inst,[status(thm)],[])).
% 50.06/33.18 tff(28558,plain,
% 50.06/33.18 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB187, bitIndex0) | v124(constB187) | v120(constB187) | v119(constB187) | v121(constB187) | v122(constB187) | v123(constB187)),
% 50.06/33.18 inference(modus_ponens,[status(thm)],[28557, 28556])).
% 50.06/33.18 tff(28559,plain,
% 50.06/33.18 (v124(constB187) | v120(constB187) | v119(constB187) | v121(constB187) | v122(constB187) | v123(constB187)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28558, 908, 28457])).
% 50.06/33.18 tff(28560,plain,
% 50.06/33.18 ($false),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28559, 28552, 28548, 28465, 28544, 28461, 28534])).
% 50.06/33.18 tff(28561,plain,(v90(constB189, bitIndex0) | v123(constB189) | (~v130(constB189, bitIndex2)) | v121(constB189)), inference(lemma,lemma(discharge,[]))).
% 50.06/33.18 tff(28562,plain,
% 50.06/33.18 ($false),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28561, 28484, 28480, 27473, 28470])).
% 50.06/33.18 tff(28563,plain,(v90(constB189, bitIndex2) | v90(constB189, bitIndex0) | v90(constB189, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 50.06/33.18 tff(28564,plain,
% 50.06/33.18 (v90(constB189, bitIndex2)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28563, 28466, 27473])).
% 50.06/33.18 tff(28565,plain,
% 50.06/33.18 (v90(constB188, bitIndex2)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[26677, 28564])).
% 50.06/33.18 tff(28566,plain,
% 50.06/33.18 ((~v90(constB188, bitIndex2)) | v129(constB188, bitIndex2)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[26649, 1258, 28440])).
% 50.06/33.18 tff(28567,plain,
% 50.06/33.18 (v129(constB188, bitIndex2)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28566, 28565])).
% 50.06/33.18 tff(28568,plain,
% 50.06/33.18 (v127(constB187, bitIndex2)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[26642, 28567])).
% 50.06/33.18 tff(28569,plain,
% 50.06/33.18 (v130(constB187, bitIndex2)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[26637, 28568])).
% 50.06/33.18 tff(28570,plain,
% 50.06/33.18 (~v120(constB187)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[26625, 1383, 28569])).
% 50.06/33.18 tff(28571,plain,
% 50.06/33.18 (~v90(constB188, bitIndex1)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[26708, 28466])).
% 50.06/33.18 tff(28572,plain,
% 50.06/33.18 (~v129(constB188, bitIndex1)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28540, 28571])).
% 50.06/33.18 tff(28573,plain,
% 50.06/33.18 (~v127(constB187, bitIndex1)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[26691, 28572])).
% 50.06/33.18 tff(28574,plain,
% 50.06/33.18 (~v130(constB187, bitIndex1)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[26686, 28573])).
% 50.06/33.18 tff(28575,plain,
% 50.06/33.18 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB187)) | v130(constB187, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB187)) | v130(constB187, bitIndex1))),
% 50.06/33.18 inference(rewrite,[status(thm)],[])).
% 50.06/33.18 tff(28576,plain,
% 50.06/33.18 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB187)) | v130(constB187, bitIndex1))),
% 50.06/33.18 inference(quant_inst,[status(thm)],[])).
% 50.06/33.18 tff(28577,plain,
% 50.06/33.18 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB187)) | v130(constB187, bitIndex1)),
% 50.06/33.18 inference(modus_ponens,[status(thm)],[28576, 28575])).
% 50.06/33.18 tff(28578,plain,
% 50.06/33.18 (~v123(constB187)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28577, 667, 28574])).
% 50.06/33.18 tff(28579,plain,
% 50.06/33.18 (v90(constB187, bitIndex1)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[26540, 26381, 26383])).
% 50.06/33.18 tff(28580,plain,
% 50.06/33.18 (v90(constB186, bitIndex1)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[24468, 28579])).
% 50.06/33.18 tff(28581,assumption,(~v121(constB187)), introduced(assumption)).
% 50.06/33.18 tff(28582,plain,
% 50.06/33.18 (v90(constB187, bitIndex0) | (~v90(constB187, bitIndex1)) | v90(constB187, bitIndex2)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28436, 1551, 28581])).
% 50.06/33.18 tff(28583,plain,
% 50.06/33.18 (v90(constB187, bitIndex0)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28582, 28579, 26381])).
% 50.06/33.18 tff(28584,plain,
% 50.06/33.18 (v90(constB186, bitIndex0)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28137, 28583])).
% 50.06/33.18 tff(28585,plain,
% 50.06/33.18 (v100(constB186)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28305, 28584])).
% 50.06/33.18 tff(28586,plain,
% 50.06/33.18 (v129(constB186, bitIndex1)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[24440, 483, 28585, 28580])).
% 50.06/33.18 tff(28587,plain,
% 50.06/33.18 (v127(constB185, bitIndex1)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[24433, 28586])).
% 50.06/33.18 tff(28588,plain,
% 50.06/33.18 (v130(constB185, bitIndex1)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[24428, 28587])).
% 50.06/33.18 tff(28589,plain,
% 50.06/33.18 (v119(constB185)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[24420, 28588])).
% 50.06/33.18 tff(28590,plain,
% 50.06/33.18 (v129(constB186, bitIndex0)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28127, 557, 28585, 28584])).
% 50.06/33.18 tff(28591,plain,
% 50.06/33.18 (v127(constB185, bitIndex0)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28120, 28590])).
% 50.06/33.18 tff(28592,plain,
% 50.06/33.18 (v130(constB185, bitIndex0)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28115, 28591])).
% 50.06/33.18 tff(28593,plain,
% 50.06/33.18 ($false),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[24409, 510, 28592, 28589])).
% 50.06/33.18 tff(28594,plain,(v90(constB187, bitIndex2) | v121(constB187) | v120(constB187)), inference(lemma,lemma(discharge,[]))).
% 50.06/33.18 tff(28595,plain,
% 50.06/33.18 (v90(constB187, bitIndex2)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28594, 28570, 28461])).
% 50.06/33.18 tff(28596,plain,
% 50.06/33.18 (~v122(constB187)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28078, 894, 28595])).
% 50.06/33.18 tff(28597,plain,
% 50.06/33.18 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB187)) | (~v90(constB187, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB187)) | (~v90(constB187, bitIndex2)))),
% 50.06/33.18 inference(rewrite,[status(thm)],[])).
% 50.06/33.18 tff(28598,plain,
% 50.06/33.18 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB187)) | (~v90(constB187, bitIndex2)))),
% 50.06/33.18 inference(quant_inst,[status(thm)],[])).
% 50.06/33.18 tff(28599,plain,
% 50.06/33.18 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB187)) | (~v90(constB187, bitIndex2))),
% 50.06/33.18 inference(modus_ponens,[status(thm)],[28598, 28597])).
% 50.06/33.18 tff(28600,plain,
% 50.06/33.18 (~v119(constB187)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28599, 861, 28595])).
% 50.06/33.18 tff(28601,plain,
% 50.06/33.18 ($false),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28559, 28600, 28596, 28578, 28570, 28465, 28461])).
% 50.06/33.18 tff(28602,plain,(v90(constB189, bitIndex1) | v90(constB189, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 50.06/33.18 tff(28603,plain,
% 50.06/33.18 (v90(constB189, bitIndex1)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28602, 27473])).
% 50.06/33.18 tff(28604,plain,
% 50.06/33.18 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB189, bitIndex1)) | (~v123(constB189)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB189, bitIndex1)) | (~v123(constB189)))),
% 50.06/33.18 inference(rewrite,[status(thm)],[])).
% 50.06/33.18 tff(28605,plain,
% 50.06/33.18 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB189, bitIndex1)) | (~v123(constB189)))),
% 50.06/33.18 inference(quant_inst,[status(thm)],[])).
% 50.06/33.18 tff(28606,plain,
% 50.06/33.18 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB189, bitIndex1)) | (~v123(constB189))),
% 50.06/33.18 inference(modus_ponens,[status(thm)],[28605, 28604])).
% 50.06/33.18 tff(28607,plain,
% 50.06/33.18 (~v123(constB189)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28606, 774, 28603])).
% 50.06/33.18 tff(28608,plain,
% 50.06/33.18 (~v121(constB189)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[27031, 28366])).
% 50.06/33.18 tff(28609,plain,
% 50.06/33.18 (~v130(constB189, bitIndex2)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28561, 28608, 27473, 28607])).
% 50.06/33.18 tff(28610,plain,
% 50.06/33.18 (~v127(constB189, bitIndex2)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[26921, 28609])).
% 50.06/33.18 tff(28611,plain,
% 50.06/33.18 (~v129(constB190, bitIndex2)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[26926, 28610])).
% 50.06/33.18 tff(28612,plain,
% 50.06/33.18 (~v110(constB190)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[26901, 28038])).
% 50.06/33.18 tff(28613,plain,
% 50.06/33.18 (~v108(constB189)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[26878, 28612])).
% 50.06/33.18 tff(28614,plain,
% 50.06/33.18 (~v112(constB189)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[26870, 236, 28613])).
% 50.06/33.18 tff(28615,plain,
% 50.06/33.18 (~v113(constB189)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[26866, 28614])).
% 50.06/33.18 tff(28616,plain,
% 50.06/33.18 (~v114(constB189)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[26767, 210, 28615])).
% 50.06/33.18 tff(28617,plain,
% 50.06/33.18 (~v115(constB189)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[26763, 199, 28616])).
% 50.06/33.18 tff(28618,plain,
% 50.06/33.18 (~v116(constB189)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[26759, 188, 28617])).
% 50.06/33.18 tff(28619,plain,
% 50.06/33.18 (~v117(constB189)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[26755, 177, 28618])).
% 50.06/33.18 tff(28620,plain,
% 50.06/33.18 (~v121(constB189)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[26751, 1562, 28619])).
% 50.06/33.18 tff(28621,assumption,(~v90(constB190, bitIndex0)), introduced(assumption)).
% 50.06/33.18 tff(28622,plain,
% 50.06/33.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB189, bitIndex0)) | (~nextState(constB189, constB190)) | v100(constB190) | v90(constB190, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB189, bitIndex0)) | (~nextState(constB189, constB190)) | v100(constB190) | v90(constB190, bitIndex0))),
% 50.06/33.18 inference(rewrite,[status(thm)],[])).
% 50.06/33.18 tff(28623,plain,
% 50.06/33.18 (((~nextState(constB189, constB190)) | (~v90(constB189, bitIndex0)) | v100(constB190) | v90(constB190, bitIndex0)) <=> ((~v90(constB189, bitIndex0)) | (~nextState(constB189, constB190)) | v100(constB190) | v90(constB190, bitIndex0))),
% 50.06/33.18 inference(rewrite,[status(thm)],[])).
% 50.06/33.18 tff(28624,plain,
% 50.06/33.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB189, constB190)) | (~v90(constB189, bitIndex0)) | v100(constB190) | v90(constB190, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~v90(constB189, bitIndex0)) | (~nextState(constB189, constB190)) | v100(constB190) | v90(constB190, bitIndex0)))),
% 50.06/33.18 inference(monotonicity,[status(thm)],[28623])).
% 50.06/33.18 tff(28625,plain,
% 50.06/33.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB189, constB190)) | (~v90(constB189, bitIndex0)) | v100(constB190) | v90(constB190, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB189, bitIndex0)) | (~nextState(constB189, constB190)) | v100(constB190) | v90(constB190, bitIndex0))),
% 50.06/33.18 inference(transitivity,[status(thm)],[28624, 28622])).
% 50.06/33.18 tff(28626,plain,
% 50.06/33.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | ((~nextState(constB189, constB190)) | (~v90(constB189, bitIndex0)) | v100(constB190) | v90(constB190, bitIndex0))),
% 50.06/33.18 inference(quant_inst,[status(thm)],[])).
% 50.06/33.18 tff(28627,plain,
% 50.06/33.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex0)) | v100(VarNext) | v90(VarNext, bitIndex0))) | (~v90(constB189, bitIndex0)) | (~nextState(constB189, constB190)) | v100(constB190) | v90(constB190, bitIndex0)),
% 50.06/33.18 inference(modus_ponens,[status(thm)],[28626, 28625])).
% 50.06/33.18 tff(28628,plain,
% 50.06/33.18 ((~v90(constB189, bitIndex0)) | v100(constB190) | v90(constB190, bitIndex0)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28627, 1124, 26795])).
% 50.06/33.18 tff(28629,plain,
% 50.06/33.18 (~v90(constB189, bitIndex0)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28628, 28038, 28621])).
% 50.06/33.18 tff(28630,assumption,(~v90(constB190, bitIndex1)), introduced(assumption)).
% 50.06/33.18 tff(28631,assumption,(~v90(constB190, bitIndex2)), introduced(assumption)).
% 50.06/33.18 tff(28632,plain,
% 50.06/33.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB189, bitIndex2)) | (~nextState(constB189, constB190)) | v100(constB190) | v90(constB190, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB189, bitIndex2)) | (~nextState(constB189, constB190)) | v100(constB190) | v90(constB190, bitIndex2))),
% 50.06/33.18 inference(rewrite,[status(thm)],[])).
% 50.06/33.18 tff(28633,plain,
% 50.06/33.18 (((~nextState(constB189, constB190)) | (~v90(constB189, bitIndex2)) | v100(constB190) | v90(constB190, bitIndex2)) <=> ((~v90(constB189, bitIndex2)) | (~nextState(constB189, constB190)) | v100(constB190) | v90(constB190, bitIndex2))),
% 50.06/33.18 inference(rewrite,[status(thm)],[])).
% 50.06/33.18 tff(28634,plain,
% 50.06/33.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB189, constB190)) | (~v90(constB189, bitIndex2)) | v100(constB190) | v90(constB190, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB189, bitIndex2)) | (~nextState(constB189, constB190)) | v100(constB190) | v90(constB190, bitIndex2)))),
% 50.06/33.18 inference(monotonicity,[status(thm)],[28633])).
% 50.06/33.18 tff(28635,plain,
% 50.06/33.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB189, constB190)) | (~v90(constB189, bitIndex2)) | v100(constB190) | v90(constB190, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB189, bitIndex2)) | (~nextState(constB189, constB190)) | v100(constB190) | v90(constB190, bitIndex2))),
% 50.06/33.18 inference(transitivity,[status(thm)],[28634, 28632])).
% 50.06/33.18 tff(28636,plain,
% 50.06/33.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB189, constB190)) | (~v90(constB189, bitIndex2)) | v100(constB190) | v90(constB190, bitIndex2))),
% 50.06/33.18 inference(quant_inst,[status(thm)],[])).
% 50.06/33.18 tff(28637,plain,
% 50.06/33.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB189, bitIndex2)) | (~nextState(constB189, constB190)) | v100(constB190) | v90(constB190, bitIndex2)),
% 50.06/33.18 inference(modus_ponens,[status(thm)],[28636, 28635])).
% 50.06/33.18 tff(28638,plain,
% 50.06/33.18 ((~v90(constB189, bitIndex2)) | v100(constB190) | v90(constB190, bitIndex2)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28637, 417, 26795])).
% 50.06/33.18 tff(28639,plain,
% 50.06/33.18 (~v90(constB189, bitIndex2)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28638, 28038, 28631])).
% 50.06/33.18 tff(28640,plain,
% 50.06/33.18 (~v90(constB188, bitIndex2)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28511, 28639])).
% 50.06/33.18 tff(28641,plain,
% 50.06/33.18 (~v90(constB188, bitIndex0)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28378, 28629])).
% 50.06/33.18 tff(28642,plain,
% 50.06/33.18 (v100(constB188)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28439, 28641])).
% 50.06/33.18 tff(28643,plain,
% 50.06/33.18 (~v129(constB188, bitIndex2)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28518, 381, 28642, 28640])).
% 50.06/33.18 tff(28644,plain,
% 50.06/33.18 (~v127(constB187, bitIndex2)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28524, 28643])).
% 50.06/33.18 tff(28645,plain,
% 50.06/33.18 (~v130(constB187, bitIndex2)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28529, 28644])).
% 50.06/33.18 tff(28646,plain,
% 50.06/33.18 (~v122(constB187)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28533, 1876, 28645])).
% 50.06/33.18 tff(28647,plain,
% 50.06/33.18 (~v129(constB188, bitIndex0)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28446, 1088, 28642, 28641])).
% 50.06/33.18 tff(28648,plain,
% 50.06/33.18 (~v127(constB187, bitIndex0)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28451, 28647])).
% 50.06/33.18 tff(28649,plain,
% 50.06/33.18 (~v130(constB187, bitIndex0)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28456, 28648])).
% 50.06/33.18 tff(28650,plain,
% 50.06/33.18 (~v121(constB187)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28460, 1748, 28649])).
% 50.06/33.18 tff(28651,plain,
% 50.06/33.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB189, bitIndex1)) | (~nextState(constB189, constB190)) | v100(constB190) | v90(constB190, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB189, bitIndex1)) | (~nextState(constB189, constB190)) | v100(constB190) | v90(constB190, bitIndex1))),
% 50.06/33.18 inference(rewrite,[status(thm)],[])).
% 50.06/33.18 tff(28652,plain,
% 50.06/33.18 (((~nextState(constB189, constB190)) | (~v90(constB189, bitIndex1)) | v100(constB190) | v90(constB190, bitIndex1)) <=> ((~v90(constB189, bitIndex1)) | (~nextState(constB189, constB190)) | v100(constB190) | v90(constB190, bitIndex1))),
% 50.06/33.18 inference(rewrite,[status(thm)],[])).
% 50.06/33.18 tff(28653,plain,
% 50.06/33.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB189, constB190)) | (~v90(constB189, bitIndex1)) | v100(constB190) | v90(constB190, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~v90(constB189, bitIndex1)) | (~nextState(constB189, constB190)) | v100(constB190) | v90(constB190, bitIndex1)))),
% 50.06/33.18 inference(monotonicity,[status(thm)],[28652])).
% 50.06/33.18 tff(28654,plain,
% 50.06/33.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB189, constB190)) | (~v90(constB189, bitIndex1)) | v100(constB190) | v90(constB190, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB189, bitIndex1)) | (~nextState(constB189, constB190)) | v100(constB190) | v90(constB190, bitIndex1))),
% 50.06/33.18 inference(transitivity,[status(thm)],[28653, 28651])).
% 50.06/33.18 tff(28655,plain,
% 50.06/33.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | ((~nextState(constB189, constB190)) | (~v90(constB189, bitIndex1)) | v100(constB190) | v90(constB190, bitIndex1))),
% 50.06/33.18 inference(quant_inst,[status(thm)],[])).
% 50.06/33.18 tff(28656,plain,
% 50.06/33.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex1)) | v100(VarNext) | v90(VarNext, bitIndex1))) | (~v90(constB189, bitIndex1)) | (~nextState(constB189, constB190)) | v100(constB190) | v90(constB190, bitIndex1)),
% 50.06/33.18 inference(modus_ponens,[status(thm)],[28655, 28654])).
% 50.06/33.18 tff(28657,plain,
% 50.06/33.18 ((~v90(constB189, bitIndex1)) | v100(constB190) | v90(constB190, bitIndex1)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28656, 747, 26795])).
% 50.06/33.18 tff(28658,plain,
% 50.06/33.18 (~v90(constB189, bitIndex1)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28657, 28038, 28630])).
% 50.06/33.18 tff(28659,plain,
% 50.06/33.18 (~v90(constB188, bitIndex1)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[26708, 28658])).
% 50.06/33.18 tff(28660,plain,
% 50.06/33.18 (~v129(constB188, bitIndex1)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[26698, 711, 28642, 28659])).
% 50.06/33.18 tff(28661,plain,
% 50.06/33.18 (~v127(constB187, bitIndex1)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[26691, 28660])).
% 50.06/33.18 tff(28662,plain,
% 50.06/33.18 (~v130(constB187, bitIndex1)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[26686, 28661])).
% 50.06/33.18 tff(28663,plain,
% 50.06/33.18 (~v120(constB187)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[26681, 1450, 28662])).
% 50.06/33.18 tff(28664,plain,
% 50.06/33.18 (~v124(constB187)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28464, 3020, 28649])).
% 50.06/33.18 tff(28665,plain,
% 50.06/33.18 (~v123(constB187)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28577, 667, 28662])).
% 50.06/33.18 tff(28666,plain,
% 50.06/33.18 (~v119(constB187)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28551, 337, 28645])).
% 50.06/33.18 tff(28667,plain,
% 50.06/33.18 (v124(constB187) | v120(constB187) | v119(constB187) | v121(constB187) | v122(constB187) | v123(constB187)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28558, 908, 28649])).
% 50.06/33.18 tff(28668,plain,
% 50.06/33.18 ($false),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28667, 28666, 28665, 28664, 28663, 28650, 28646])).
% 50.06/33.18 tff(28669,plain,(v100(constB190) | v90(constB190, bitIndex2) | v90(constB190, bitIndex1) | v90(constB190, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 50.06/33.18 tff(28670,plain,
% 50.06/33.18 (v100(constB190)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28669, 28631, 28630, 28621])).
% 50.06/33.18 tff(28671,plain,
% 50.06/33.18 ((~v129(constB190, bitIndex1)) | (~v100(constB190))),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[27013, 711, 28630])).
% 50.06/33.18 tff(28672,plain,
% 50.06/33.18 (~v129(constB190, bitIndex1)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28671, 28670])).
% 50.06/33.18 tff(28673,plain,
% 50.06/33.18 (~v127(constB189, bitIndex1)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[27006, 28672])).
% 50.06/33.18 tff(28674,plain,
% 50.06/33.18 (~v130(constB189, bitIndex1)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[27001, 28673])).
% 50.06/33.18 tff(28675,plain,
% 50.06/33.18 (((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB189)) | v130(constB189, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB189)) | v130(constB189, bitIndex1))),
% 50.06/33.18 inference(rewrite,[status(thm)],[])).
% 50.06/33.18 tff(28676,plain,
% 50.06/33.18 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v120(constB189)) | v130(constB189, bitIndex1))),
% 50.06/33.18 inference(quant_inst,[status(thm)],[])).
% 50.06/33.18 tff(28677,plain,
% 50.06/33.18 ((~![VarCurr: $i] : ((~v120(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v120(constB189)) | v130(constB189, bitIndex1)),
% 50.06/33.18 inference(modus_ponens,[status(thm)],[28676, 28675])).
% 50.06/33.18 tff(28678,plain,
% 50.06/33.18 (~v120(constB189)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28677, 1450, 28674])).
% 50.06/33.18 tff(28679,plain,
% 50.06/33.18 (((~![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)))),
% 50.06/33.18 inference(rewrite,[status(thm)],[])).
% 50.06/33.18 tff(28680,plain,
% 50.06/33.18 ((v90(constB190, bitIndex2) | (~v100(constB190)) | (~v129(constB190, bitIndex2))) <=> (v90(constB190, bitIndex2) | (~v129(constB190, bitIndex2)) | (~v100(constB190)))),
% 50.06/33.18 inference(rewrite,[status(thm)],[])).
% 50.06/33.18 tff(28681,plain,
% 50.06/33.18 (((~![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))))),
% 50.06/33.18 inference(monotonicity,[status(thm)],[28680])).
% 50.06/33.18 tff(28682,plain,
% 50.06/33.18 (((~![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)))),
% 50.06/33.18 inference(transitivity,[status(thm)],[28681, 28679])).
% 50.06/33.18 tff(28683,plain,
% 50.06/33.18 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | (v90(constB190, bitIndex2) | (~v100(constB190)) | (~v129(constB190, bitIndex2)))),
% 50.06/33.18 inference(quant_inst,[status(thm)],[])).
% 50.06/33.18 tff(28684,plain,
% 50.06/33.18 ((~![VarNext: $i] : (v90(VarNext, bitIndex2) | (~v100(VarNext)) | (~v129(VarNext, bitIndex2)))) | v90(constB190, bitIndex2) | (~v129(constB190, bitIndex2)) | (~v100(constB190))),
% 50.06/33.18 inference(modus_ponens,[status(thm)],[28683, 28682])).
% 50.06/33.18 tff(28685,plain,
% 50.06/33.18 ((~v129(constB190, bitIndex2)) | (~v100(constB190))),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28684, 381, 28631])).
% 50.06/33.18 tff(28686,plain,
% 50.06/33.18 (~v129(constB190, bitIndex2)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28685, 28670])).
% 50.06/33.18 tff(28687,plain,
% 50.06/33.18 (((~![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))),
% 50.06/33.18 inference(rewrite,[status(thm)],[])).
% 50.06/33.18 tff(28688,plain,
% 50.06/33.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | ((~nextState(constB189, constB190)) | (~v127(constB189, bitIndex2)) | v129(constB190, bitIndex2))),
% 50.06/33.18 inference(quant_inst,[status(thm)],[])).
% 50.06/33.18 tff(28689,plain,
% 50.06/33.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex2)) | v129(VarNext, bitIndex2))) | (~nextState(constB189, constB190)) | (~v127(constB189, bitIndex2)) | v129(constB190, bitIndex2)),
% 50.06/33.18 inference(modus_ponens,[status(thm)],[28688, 28687])).
% 50.06/33.18 tff(28690,plain,
% 50.06/33.18 ((~v127(constB189, bitIndex2)) | v129(constB190, bitIndex2)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28689, 366, 26795])).
% 50.06/33.18 tff(28691,plain,
% 50.06/33.18 (~v127(constB189, bitIndex2)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28690, 28686])).
% 50.06/33.18 tff(28692,plain,
% 50.06/33.18 (((~![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))),
% 50.06/33.18 inference(rewrite,[status(thm)],[])).
% 50.06/33.18 tff(28693,plain,
% 50.06/33.18 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | (v26(constB189) | (~v130(constB189, bitIndex2)) | v127(constB189, bitIndex2))),
% 50.06/33.18 inference(quant_inst,[status(thm)],[])).
% 50.06/33.18 tff(28694,plain,
% 50.06/33.18 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex2)) | v127(VarCurr, bitIndex2))) | v26(constB189) | (~v130(constB189, bitIndex2)) | v127(constB189, bitIndex2)),
% 50.06/33.18 inference(modus_ponens,[status(thm)],[28693, 28692])).
% 50.06/33.18 tff(28695,plain,
% 50.06/33.18 ((~v130(constB189, bitIndex2)) | v127(constB189, bitIndex2)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28694, 351, 26862])).
% 50.06/33.18 tff(28696,plain,
% 50.06/33.18 (~v130(constB189, bitIndex2)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28695, 28691])).
% 50.06/33.18 tff(28697,plain,
% 50.06/33.18 (~v119(constB189)),
% 50.06/33.18 inference(unit_resolution,[status(thm)],[28479, 337, 28696])).
% 50.06/33.18 tff(28698,plain,
% 50.06/33.18 (((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB189)) | v130(constB189, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB189)) | v130(constB189, bitIndex2))),
% 50.06/33.18 inference(rewrite,[status(thm)],[])).
% 50.06/33.18 tff(28699,plain,
% 50.06/33.18 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v122(constB189)) | v130(constB189, bitIndex2))),
% 50.06/33.19 inference(quant_inst,[status(thm)],[])).
% 50.06/33.19 tff(28700,plain,
% 50.06/33.19 ((~![VarCurr: $i] : ((~v122(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v122(constB189)) | v130(constB189, bitIndex2)),
% 50.06/33.19 inference(modus_ponens,[status(thm)],[28699, 28698])).
% 50.06/33.19 tff(28701,plain,
% 50.06/33.19 (~v122(constB189)),
% 50.06/33.19 inference(unit_resolution,[status(thm)],[28700, 1876, 28696])).
% 50.06/33.19 tff(28702,plain,
% 50.06/33.19 ((~v129(constB190, bitIndex0)) | (~v100(constB190))),
% 50.06/33.19 inference(unit_resolution,[status(thm)],[26982, 1088, 28621])).
% 50.06/33.19 tff(28703,plain,
% 50.06/33.19 (~v129(constB190, bitIndex0)),
% 50.06/33.19 inference(unit_resolution,[status(thm)],[28702, 28670])).
% 50.06/33.19 tff(28704,plain,
% 50.06/33.19 (~v127(constB189, bitIndex0)),
% 50.06/33.19 inference(unit_resolution,[status(thm)],[26975, 28703])).
% 50.06/33.19 tff(28705,plain,
% 50.06/33.19 (~v130(constB189, bitIndex0)),
% 50.06/33.19 inference(unit_resolution,[status(thm)],[26970, 28704])).
% 50.06/33.19 tff(28706,plain,
% 50.06/33.19 (~v124(constB189)),
% 50.06/33.19 inference(unit_resolution,[status(thm)],[27251, 3020, 28705])).
% 50.06/33.19 tff(28707,plain,
% 50.06/33.19 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB189)) | v130(constB189, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB189)) | v130(constB189, bitIndex1))),
% 50.06/33.19 inference(rewrite,[status(thm)],[])).
% 50.06/33.19 tff(28708,plain,
% 50.06/33.19 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | ((~v123(constB189)) | v130(constB189, bitIndex1))),
% 50.06/33.19 inference(quant_inst,[status(thm)],[])).
% 50.06/33.19 tff(28709,plain,
% 50.06/33.19 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex1))) | (~v123(constB189)) | v130(constB189, bitIndex1)),
% 50.06/33.19 inference(modus_ponens,[status(thm)],[28708, 28707])).
% 50.06/33.19 tff(28710,plain,
% 50.06/33.19 (~v123(constB189)),
% 50.06/33.19 inference(unit_resolution,[status(thm)],[28709, 667, 28674])).
% 50.06/33.19 tff(28711,plain,
% 50.06/33.19 (v124(constB189) | v123(constB189) | v120(constB189) | v119(constB189) | v122(constB189)),
% 50.06/33.19 inference(unit_resolution,[status(thm)],[27282, 908, 28705, 28491])).
% 50.06/33.19 tff(28712,plain,
% 50.06/33.19 ($false),
% 50.06/33.19 inference(unit_resolution,[status(thm)],[28711, 28710, 28706, 28701, 28697, 28678])).
% 50.06/33.19 tff(28713,plain,(v90(constB190, bitIndex2) | v121(constB189) | v90(constB190, bitIndex1) | v90(constB190, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 50.06/33.19 tff(28714,plain,
% 50.06/33.19 (v90(constB190, bitIndex2)),
% 50.06/33.19 inference(unit_resolution,[status(thm)],[28713, 28630, 28491, 28621])).
% 50.06/33.19 tff(28715,plain,
% 50.06/33.19 (((~![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))),
% 50.06/33.19 inference(rewrite,[status(thm)],[])).
% 50.06/33.19 tff(28716,plain,
% 50.06/33.19 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB189, bitIndex0) | v90(constB189, bitIndex1) | (~v90(constB189, bitIndex2)) | v123(constB189))),
% 50.06/33.19 inference(quant_inst,[status(thm)],[])).
% 50.06/33.19 tff(28717,plain,
% 50.06/33.19 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB189, bitIndex0) | v90(constB189, bitIndex1) | (~v90(constB189, bitIndex2)) | v123(constB189)),
% 50.06/33.19 inference(modus_ponens,[status(thm)],[28716, 28715])).
% 50.06/33.19 tff(28718,plain,
% 50.06/33.19 (v123(constB189)),
% 50.06/33.19 inference(unit_resolution,[status(thm)],[28717, 584, 28629, 28658, 28186])).
% 50.06/33.19 tff(28719,plain,
% 50.06/33.19 (((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB189) | (~v123(constB189)))) <=> ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB189) | (~v123(constB189)))),
% 50.06/33.19 inference(rewrite,[status(thm)],[])).
% 50.06/33.19 tff(28720,plain,
% 50.06/33.19 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | (v115(constB189) | (~v123(constB189)))),
% 50.06/33.19 inference(quant_inst,[status(thm)],[])).
% 50.06/33.19 tff(28721,plain,
% 50.06/33.19 ((~![VarCurr: $i] : (v115(VarCurr) | (~v123(VarCurr)))) | v115(constB189) | (~v123(constB189))),
% 50.06/33.19 inference(modus_ponens,[status(thm)],[28720, 28719])).
% 50.06/33.19 tff(28722,plain,
% 50.06/33.19 (v115(constB189)),
% 50.06/33.19 inference(unit_resolution,[status(thm)],[28721, 595, 28718])).
% 50.06/33.19 tff(28723,plain,
% 50.06/33.19 ($false),
% 50.06/33.19 inference(unit_resolution,[status(thm)],[26763, 199, 28722, 28616])).
% 50.06/33.19 tff(28724,plain,(v100(constB190) | (~v90(constB190, bitIndex2)) | v90(constB190, bitIndex1) | v90(constB190, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 50.06/33.19 tff(28725,plain,
% 50.06/33.19 (v100(constB190)),
% 50.06/33.19 inference(unit_resolution,[status(thm)],[28724, 28714, 28630, 28621])).
% 50.06/33.19 tff(28726,plain,
% 50.06/33.19 (v129(constB190, bitIndex2) | (~v100(constB190))),
% 50.06/33.19 inference(unit_resolution,[status(thm)],[26933, 1258, 28714])).
% 50.06/33.19 tff(28727,plain,
% 50.06/33.19 (v129(constB190, bitIndex2)),
% 50.06/33.19 inference(unit_resolution,[status(thm)],[28726, 28725])).
% 50.06/33.19 tff(28728,plain,
% 50.06/33.19 (v127(constB189, bitIndex2)),
% 50.06/33.19 inference(unit_resolution,[status(thm)],[26926, 28727])).
% 50.06/33.19 tff(28729,plain,
% 50.06/33.19 (v130(constB189, bitIndex2)),
% 50.06/33.19 inference(unit_resolution,[status(thm)],[26921, 28728])).
% 50.06/33.19 tff(28730,plain,
% 50.06/33.19 (~v120(constB189)),
% 50.06/33.19 inference(unit_resolution,[status(thm)],[28488, 1383, 28729])).
% 50.06/33.19 tff(28731,plain,
% 50.06/33.19 (~v129(constB190, bitIndex1)),
% 50.06/33.19 inference(unit_resolution,[status(thm)],[28671, 28725])).
% 50.06/33.19 tff(28732,plain,
% 50.06/33.19 (~v127(constB189, bitIndex1)),
% 50.06/33.19 inference(unit_resolution,[status(thm)],[27006, 28731])).
% 50.06/33.19 tff(28733,plain,
% 50.06/33.19 (~v130(constB189, bitIndex1)),
% 50.06/33.19 inference(unit_resolution,[status(thm)],[27001, 28732])).
% 50.06/33.19 tff(28734,plain,
% 50.06/33.19 (~v123(constB189)),
% 50.06/33.19 inference(unit_resolution,[status(thm)],[28709, 667, 28733])).
% 50.06/33.19 tff(28735,plain,
% 50.06/33.19 (~v124(constB189)),
% 50.06/33.19 inference(unit_resolution,[status(thm)],[28336, 2853, 28729])).
% 50.06/33.19 tff(28736,plain,
% 50.06/33.19 (v90(constB189, bitIndex0)),
% 50.06/33.19 inference(unit_resolution,[status(thm)],[28561, 28734, 28729, 28491])).
% 50.06/33.19 tff(28737,plain,
% 50.06/33.19 (~v119(constB189)),
% 50.06/33.19 inference(unit_resolution,[status(thm)],[27267, 3414, 28736])).
% 50.06/33.19 tff(28738,plain,
% 50.06/33.19 (v122(constB189)),
% 50.06/33.19 inference(unit_resolution,[status(thm)],[28498, 28737, 28735, 28734, 28730, 28729])).
% 50.06/33.19 tff(28739,plain,
% 50.06/33.19 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB189, bitIndex2)) | (~v122(constB189)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB189, bitIndex2)) | (~v122(constB189)))),
% 50.06/33.19 inference(rewrite,[status(thm)],[])).
% 50.06/33.19 tff(28740,plain,
% 50.06/33.19 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB189, bitIndex2)) | (~v122(constB189)))),
% 50.06/33.19 inference(quant_inst,[status(thm)],[])).
% 50.06/33.19 tff(28741,plain,
% 50.06/33.19 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB189, bitIndex2)) | (~v122(constB189))),
% 50.06/33.19 inference(modus_ponens,[status(thm)],[28740, 28739])).
% 50.06/33.19 tff(28742,plain,
% 50.06/33.19 (~v90(constB189, bitIndex2)),
% 50.06/33.19 inference(unit_resolution,[status(thm)],[28741, 894, 28738])).
% 50.06/33.19 tff(28743,plain,
% 50.06/33.19 (~v90(constB188, bitIndex2)),
% 50.06/33.19 inference(unit_resolution,[status(thm)],[28511, 28742])).
% 50.06/33.19 tff(28744,plain,
% 50.06/33.19 (^[VarCurr: $i] : refl((v90(VarCurr, bitIndex1) | (~v122(VarCurr))) <=> (v90(VarCurr, bitIndex1) | (~v122(VarCurr))))),
% 50.06/33.19 inference(bind,[status(th)],[])).
% 50.06/33.19 tff(28745,plain,
% 50.06/33.19 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))),
% 50.06/33.19 inference(quant_intro,[status(thm)],[28744])).
% 50.06/33.19 tff(28746,plain,
% 50.06/33.19 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr))) <=> ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))),
% 50.06/33.19 inference(rewrite,[status(thm)],[])).
% 50.06/33.19 tff(28747,axiom,(![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_2')).
% 50.06/33.19 tff(28748,plain,
% 50.06/33.19 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))),
% 50.06/33.19 inference(modus_ponens,[status(thm)],[28747, 28746])).
% 50.06/33.19 tff(28749,plain,(
% 50.06/33.19 ![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))),
% 50.14/33.19 inference(skolemize,[status(sab)],[28748])).
% 50.14/33.19 tff(28750,plain,
% 50.14/33.19 (![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))),
% 50.14/33.19 inference(modus_ponens,[status(thm)],[28749, 28745])).
% 50.14/33.19 tff(28751,plain,
% 50.14/33.19 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | (v90(constB189, bitIndex1) | (~v122(constB189)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | v90(constB189, bitIndex1) | (~v122(constB189)))),
% 50.14/33.19 inference(rewrite,[status(thm)],[])).
% 50.14/33.19 tff(28752,plain,
% 50.14/33.19 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | (v90(constB189, bitIndex1) | (~v122(constB189)))),
% 50.14/33.19 inference(quant_inst,[status(thm)],[])).
% 50.14/33.19 tff(28753,plain,
% 50.14/33.19 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v122(VarCurr)))) | v90(constB189, bitIndex1) | (~v122(constB189))),
% 50.14/33.19 inference(modus_ponens,[status(thm)],[28752, 28751])).
% 50.14/33.19 tff(28754,plain,
% 50.14/33.19 (v90(constB189, bitIndex1)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28753, 28750, 28738])).
% 50.14/33.19 tff(28755,plain,
% 50.14/33.19 (v90(constB188, bitIndex1)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28054, 28754])).
% 50.14/33.19 tff(28756,plain,
% 50.14/33.19 (v90(constB188, bitIndex0)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[26742, 28736])).
% 50.14/33.19 tff(28757,assumption,(~v90(constB188, bitIndex2)), introduced(assumption)).
% 50.14/33.19 tff(28758,plain,
% 50.14/33.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB187, bitIndex2)) | (~nextState(constB187, constB188)) | v100(constB188) | v90(constB188, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB187, bitIndex2)) | (~nextState(constB187, constB188)) | v100(constB188) | v90(constB188, bitIndex2))),
% 50.14/33.19 inference(rewrite,[status(thm)],[])).
% 50.14/33.19 tff(28759,plain,
% 50.14/33.19 (((~nextState(constB187, constB188)) | (~v90(constB187, bitIndex2)) | v100(constB188) | v90(constB188, bitIndex2)) <=> ((~v90(constB187, bitIndex2)) | (~nextState(constB187, constB188)) | v100(constB188) | v90(constB188, bitIndex2))),
% 50.14/33.19 inference(rewrite,[status(thm)],[])).
% 50.14/33.19 tff(28760,plain,
% 50.14/33.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB187, constB188)) | (~v90(constB187, bitIndex2)) | v100(constB188) | v90(constB188, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~v90(constB187, bitIndex2)) | (~nextState(constB187, constB188)) | v100(constB188) | v90(constB188, bitIndex2)))),
% 50.14/33.19 inference(monotonicity,[status(thm)],[28759])).
% 50.14/33.19 tff(28761,plain,
% 50.14/33.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB187, constB188)) | (~v90(constB187, bitIndex2)) | v100(constB188) | v90(constB188, bitIndex2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB187, bitIndex2)) | (~nextState(constB187, constB188)) | v100(constB188) | v90(constB188, bitIndex2))),
% 50.14/33.19 inference(transitivity,[status(thm)],[28760, 28758])).
% 50.14/33.19 tff(28762,plain,
% 50.14/33.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | ((~nextState(constB187, constB188)) | (~v90(constB187, bitIndex2)) | v100(constB188) | v90(constB188, bitIndex2))),
% 50.14/33.19 inference(quant_inst,[status(thm)],[])).
% 50.14/33.19 tff(28763,plain,
% 50.14/33.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, bitIndex2)) | v100(VarNext) | v90(VarNext, bitIndex2))) | (~v90(constB187, bitIndex2)) | (~nextState(constB187, constB188)) | v100(constB188) | v90(constB188, bitIndex2)),
% 50.14/33.19 inference(modus_ponens,[status(thm)],[28762, 28761])).
% 50.14/33.19 tff(28764,plain,
% 50.14/33.19 ((~v90(constB187, bitIndex2)) | v100(constB188) | v90(constB188, bitIndex2)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28763, 417, 26588])).
% 50.14/33.19 tff(28765,plain,
% 50.14/33.19 (~v90(constB187, bitIndex2)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28764, 28380, 28757])).
% 50.14/33.19 tff(28766,plain,
% 50.14/33.19 (v90(constB187, bitIndex1)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28232, 28380, 28147])).
% 50.14/33.19 tff(28767,plain,
% 50.14/33.19 (v90(constB187, bitIndex0)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28145, 28380, 28036])).
% 50.14/33.19 tff(28768,plain,
% 50.14/33.19 (((~![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))),
% 50.14/33.19 inference(rewrite,[status(thm)],[])).
% 50.14/33.19 tff(28769,plain,
% 50.14/33.19 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB187, bitIndex0)) | (~v90(constB187, bitIndex1)) | v90(constB187, bitIndex2) | v122(constB187))),
% 50.14/33.19 inference(quant_inst,[status(thm)],[])).
% 50.14/33.19 tff(28770,plain,
% 50.14/33.19 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB187, bitIndex0)) | (~v90(constB187, bitIndex1)) | v90(constB187, bitIndex2) | v122(constB187)),
% 50.14/33.19 inference(modus_ponens,[status(thm)],[28769, 28768])).
% 50.14/33.19 tff(28771,plain,
% 50.14/33.19 (v122(constB187)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28770, 1789, 28767, 28766, 28765])).
% 50.14/33.19 tff(28772,plain,
% 50.14/33.19 (((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB187) | (~v122(constB187)))) <=> ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB187) | (~v122(constB187)))),
% 50.14/33.19 inference(rewrite,[status(thm)],[])).
% 50.14/33.19 tff(28773,plain,
% 50.14/33.19 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | (v116(constB187) | (~v122(constB187)))),
% 50.14/33.19 inference(quant_inst,[status(thm)],[])).
% 50.14/33.19 tff(28774,plain,
% 50.14/33.19 ((~![VarCurr: $i] : (v116(VarCurr) | (~v122(VarCurr)))) | v116(constB187) | (~v122(constB187))),
% 50.14/33.19 inference(modus_ponens,[status(thm)],[28773, 28772])).
% 50.14/33.19 tff(28775,plain,
% 50.14/33.19 (v116(constB187)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28774, 1800, 28771])).
% 50.14/33.19 tff(28776,plain,
% 50.14/33.19 ($false),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[26556, 188, 28775, 28385])).
% 50.14/33.19 tff(28777,plain,(v100(constB188) | (~v90(constB188, bitIndex0)) | (~v90(constB188, bitIndex1)) | v90(constB188, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 50.14/33.19 tff(28778,plain,
% 50.14/33.19 (v100(constB188)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28777, 28756, 28755, 28743])).
% 50.14/33.19 tff(28779,plain,
% 50.14/33.19 (v129(constB188, bitIndex0) | (~v100(constB188))),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[26732, 557, 28756])).
% 50.14/33.19 tff(28780,plain,
% 50.14/33.19 (v129(constB188, bitIndex0)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28779, 28778])).
% 50.14/33.19 tff(28781,plain,
% 50.14/33.19 (v127(constB187, bitIndex0)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[26725, 28780])).
% 50.14/33.19 tff(28782,plain,
% 50.14/33.19 (v130(constB187, bitIndex0)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[26720, 28781])).
% 50.14/33.19 tff(28783,plain,
% 50.14/33.19 (~v120(constB187)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[26712, 1492, 28782])).
% 50.14/33.19 tff(28784,plain,
% 50.14/33.19 (~v122(constB187)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28213, 1997, 28782])).
% 50.14/33.19 tff(28785,plain,
% 50.14/33.19 (~v123(constB187)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28217, 975, 28782])).
% 50.14/33.19 tff(28786,plain,
% 50.14/33.19 (~v119(constB187)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28209, 510, 28782])).
% 50.14/33.19 tff(28787,plain,
% 50.14/33.19 (v129(constB188, bitIndex1) | (~v100(constB188))),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28153, 483, 28755])).
% 50.14/33.19 tff(28788,plain,
% 50.14/33.19 (v129(constB188, bitIndex1)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28787, 28778])).
% 50.14/33.19 tff(28789,plain,
% 50.14/33.19 (v127(constB187, bitIndex1)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28159, 28788])).
% 50.14/33.19 tff(28790,plain,
% 50.14/33.19 (v130(constB187, bitIndex1)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28167, 28789])).
% 50.14/33.19 tff(28791,plain,
% 50.14/33.19 (~v123(constB185)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28176, 28755, 28756])).
% 50.14/33.19 tff(28792,plain,
% 50.14/33.19 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | (v90(constB187, bitIndex2) | (~v124(constB187)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | v90(constB187, bitIndex2) | (~v124(constB187)))),
% 50.14/33.19 inference(rewrite,[status(thm)],[])).
% 50.14/33.19 tff(28793,plain,
% 50.14/33.19 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | (v90(constB187, bitIndex2) | (~v124(constB187)))),
% 50.14/33.19 inference(quant_inst,[status(thm)],[])).
% 50.14/33.19 tff(28794,plain,
% 50.14/33.19 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v124(VarCurr)))) | v90(constB187, bitIndex2) | (~v124(constB187))),
% 50.14/33.19 inference(modus_ponens,[status(thm)],[28793, 28792])).
% 50.14/33.19 tff(28795,plain,
% 50.14/33.19 (~v124(constB187)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28794, 3353, 26381])).
% 50.14/33.19 tff(28796,assumption,(~v122(constB187)), introduced(assumption)).
% 50.14/33.19 tff(28797,assumption,(v130(constB187, bitIndex1)), introduced(assumption)).
% 50.14/33.19 tff(28798,plain,
% 50.14/33.19 (v124(constB187) | v121(constB187)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28174, 1143, 28797, 28410, 28411, 28796, 26383])).
% 50.14/33.19 tff(28799,plain,
% 50.14/33.19 (v121(constB187)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28798, 28795])).
% 50.14/33.19 tff(28800,plain,
% 50.14/33.19 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | ((~v90(constB187, bitIndex0)) | (~v121(constB187)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | (~v90(constB187, bitIndex0)) | (~v121(constB187)))),
% 50.14/33.19 inference(rewrite,[status(thm)],[])).
% 50.14/33.19 tff(28801,plain,
% 50.14/33.19 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | ((~v90(constB187, bitIndex0)) | (~v121(constB187)))),
% 50.14/33.19 inference(quant_inst,[status(thm)],[])).
% 50.14/33.19 tff(28802,plain,
% 50.14/33.19 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v121(VarCurr)))) | (~v90(constB187, bitIndex0)) | (~v121(constB187))),
% 50.14/33.19 inference(modus_ponens,[status(thm)],[28801, 28800])).
% 50.14/33.19 tff(28803,plain,
% 50.14/33.19 (~v90(constB187, bitIndex0)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28802, 3031, 28799])).
% 50.14/33.19 tff(28804,plain,
% 50.14/33.19 (~v90(constB186, bitIndex0)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[24543, 28803])).
% 50.14/33.19 tff(28805,plain,
% 50.14/33.19 (~v90(constB185, bitIndex0)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[26436, 26412, 26413])).
% 50.14/33.19 tff(28806,plain,
% 50.14/33.19 (v90(constB186, bitIndex2)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[26537, 26411, 26412])).
% 50.14/33.19 tff(28807,plain,
% 50.14/33.19 (v90(constB185, bitIndex2)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28270, 26413, 28263])).
% 50.14/33.19 tff(28808,plain,
% 50.14/33.19 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB185, bitIndex0) | v90(constB185, bitIndex1) | (~v90(constB185, bitIndex2)) | v123(constB185))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB185, bitIndex0) | v90(constB185, bitIndex1) | (~v90(constB185, bitIndex2)) | v123(constB185))),
% 50.14/33.19 inference(rewrite,[status(thm)],[])).
% 50.14/33.19 tff(28809,plain,
% 50.14/33.19 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | (v90(constB185, bitIndex0) | v90(constB185, bitIndex1) | (~v90(constB185, bitIndex2)) | v123(constB185))),
% 50.14/33.19 inference(quant_inst,[status(thm)],[])).
% 50.14/33.19 tff(28810,plain,
% 50.14/33.19 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v123(VarCurr))) | v90(constB185, bitIndex0) | v90(constB185, bitIndex1) | (~v90(constB185, bitIndex2)) | v123(constB185)),
% 50.14/33.19 inference(modus_ponens,[status(thm)],[28809, 28808])).
% 50.14/33.19 tff(28811,plain,
% 50.14/33.19 (v123(constB185)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28810, 584, 26437, 26429, 28807])).
% 50.14/33.19 tff(28812,plain,
% 50.14/33.19 (v115(constB185)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28058, 595, 28811])).
% 50.14/33.19 tff(28813,plain,
% 50.14/33.19 ($false),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[26464, 199, 28812, 26461])).
% 50.14/33.19 tff(28814,plain,(v100(constB186) | (~v90(constB186, bitIndex2)) | v90(constB186, bitIndex1) | v90(constB186, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 50.14/33.19 tff(28815,plain,
% 50.14/33.19 ($false),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28814, 28806, 26411, 26413, 26412])).
% 50.14/33.19 tff(28816,plain,(v90(constB186, bitIndex1) | v100(constB186) | v90(constB186, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 50.14/33.19 tff(28817,plain,
% 50.14/33.19 (v90(constB186, bitIndex1)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28816, 26412, 26413])).
% 50.14/33.19 tff(28818,plain,
% 50.14/33.19 (v90(constB185, bitIndex1)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28257, 28817, 26413])).
% 50.14/33.19 tff(28819,plain,
% 50.14/33.19 (~v125(constB185)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[24158, 1031, 26457])).
% 50.14/33.19 tff(28820,plain,
% 50.14/33.19 (v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)) | (~v90(constB185, bitIndex2))),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[24153, 1019, 28819])).
% 50.14/33.19 tff(28821,plain,
% 50.14/33.19 (~v90(constB185, bitIndex2)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28820, 28818, 28805])).
% 50.14/33.19 tff(28822,plain,
% 50.14/33.19 (~v116(constB185)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[26468, 188, 26465])).
% 50.14/33.19 tff(28823,plain,
% 50.14/33.19 (~v117(constB185)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[26452, 177, 28822])).
% 50.14/33.19 tff(28824,plain,
% 50.14/33.19 (((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB185) | (~v121(constB185)))) <=> ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB185) | (~v121(constB185)))),
% 50.14/33.19 inference(rewrite,[status(thm)],[])).
% 50.14/33.19 tff(28825,plain,
% 50.14/33.19 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | (v117(constB185) | (~v121(constB185)))),
% 50.14/33.19 inference(quant_inst,[status(thm)],[])).
% 50.14/33.19 tff(28826,plain,
% 50.14/33.19 ((~![VarCurr: $i] : (v117(VarCurr) | (~v121(VarCurr)))) | v117(constB185) | (~v121(constB185))),
% 50.14/33.19 inference(modus_ponens,[status(thm)],[28825, 28824])).
% 50.14/33.19 tff(28827,plain,
% 50.14/33.19 (~v121(constB185)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28826, 1562, 28823])).
% 50.14/33.19 tff(28828,plain,
% 50.14/33.19 (((~![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))),
% 50.14/33.19 inference(rewrite,[status(thm)],[])).
% 50.14/33.19 tff(28829,plain,
% 50.14/33.19 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | (v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex2) | v121(constB185))),
% 50.14/33.19 inference(quant_inst,[status(thm)],[])).
% 50.14/33.19 tff(28830,plain,
% 50.14/33.19 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v121(VarCurr))) | v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex2) | v121(constB185)),
% 50.14/33.19 inference(modus_ponens,[status(thm)],[28829, 28828])).
% 50.14/33.19 tff(28831,plain,
% 50.14/33.19 (v90(constB185, bitIndex0) | (~v90(constB185, bitIndex1)) | v90(constB185, bitIndex2)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28830, 1551, 28827])).
% 50.14/33.19 tff(28832,plain,
% 50.14/33.19 ($false),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28831, 28821, 28818, 28805])).
% 50.14/33.19 tff(28833,plain,(v90(constB186, bitIndex0) | v100(constB186)), inference(lemma,lemma(discharge,[]))).
% 50.14/33.19 tff(28834,plain,
% 50.14/33.19 (v100(constB186)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28833, 28804])).
% 50.14/33.19 tff(28835,plain,
% 50.14/33.19 ((~v129(constB186, bitIndex2)) | (~v100(constB186))),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[26477, 381, 26400])).
% 50.14/33.19 tff(28836,plain,
% 50.14/33.19 (~v129(constB186, bitIndex2)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28835, 28834])).
% 50.14/33.19 tff(28837,plain,
% 50.14/33.19 (~v127(constB185, bitIndex2)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[26483, 28836])).
% 50.14/33.19 tff(28838,plain,
% 50.14/33.19 (~v130(constB185, bitIndex2)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[26488, 28837])).
% 50.14/33.19 tff(28839,plain,
% 50.14/33.19 (~v119(constB185)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[26492, 337, 28838])).
% 50.14/33.19 tff(28840,plain,
% 50.14/33.19 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | (v90(constB187, bitIndex1) | (~v121(constB187)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | v90(constB187, bitIndex1) | (~v121(constB187)))),
% 50.14/33.19 inference(rewrite,[status(thm)],[])).
% 50.14/33.19 tff(28841,plain,
% 50.14/33.19 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | (v90(constB187, bitIndex1) | (~v121(constB187)))),
% 50.14/33.19 inference(quant_inst,[status(thm)],[])).
% 50.14/33.19 tff(28842,plain,
% 50.14/33.19 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v121(VarCurr)))) | v90(constB187, bitIndex1) | (~v121(constB187))),
% 50.14/33.19 inference(modus_ponens,[status(thm)],[28841, 28840])).
% 50.14/33.19 tff(28843,plain,
% 50.14/33.19 (v90(constB187, bitIndex1)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28842, 24225, 28799])).
% 50.14/33.19 tff(28844,plain,
% 50.14/33.19 (v90(constB186, bitIndex1)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[24468, 28843])).
% 50.14/33.19 tff(28845,plain,
% 50.14/33.19 (v129(constB186, bitIndex1)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[24440, 483, 28834, 28844])).
% 50.14/33.19 tff(28846,plain,
% 50.14/33.19 (v127(constB185, bitIndex1)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[24433, 28845])).
% 50.14/33.19 tff(28847,plain,
% 50.14/33.19 (v130(constB185, bitIndex1)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[24428, 28846])).
% 50.14/33.19 tff(28848,plain,
% 50.14/33.19 (v121(constB185)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[24418, 28847, 24306, 28839])).
% 50.14/33.19 tff(28849,plain,
% 50.14/33.19 (~v129(constB186, bitIndex0)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[24533, 1088, 28834, 28804])).
% 50.14/33.19 tff(28850,plain,
% 50.14/33.19 (~v127(constB185, bitIndex0)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[24526, 28849])).
% 50.14/33.19 tff(28851,plain,
% 50.14/33.19 (~v130(constB185, bitIndex0)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[24521, 28850])).
% 50.14/33.19 tff(28852,plain,
% 50.14/33.19 (((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB185)) | v130(constB185, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB185)) | v130(constB185, bitIndex0))),
% 50.14/33.19 inference(rewrite,[status(thm)],[])).
% 50.14/33.19 tff(28853,plain,
% 50.14/33.19 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | ((~v121(constB185)) | v130(constB185, bitIndex0))),
% 50.14/33.19 inference(quant_inst,[status(thm)],[])).
% 50.14/33.19 tff(28854,plain,
% 50.14/33.19 ((~![VarCurr: $i] : ((~v121(VarCurr)) | v130(VarCurr, bitIndex0))) | (~v121(constB185)) | v130(constB185, bitIndex0)),
% 50.14/33.19 inference(modus_ponens,[status(thm)],[28853, 28852])).
% 50.14/33.19 tff(28855,plain,
% 50.14/33.19 ($false),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28854, 1748, 28851, 28848])).
% 50.14/33.19 tff(28856,plain,(v90(constB187, bitIndex2) | v123(constB185) | (~v130(constB187, bitIndex1)) | v119(constB187) | v123(constB187) | v122(constB187) | v120(constB187)), inference(lemma,lemma(discharge,[]))).
% 50.14/33.19 tff(28857,plain,
% 50.14/33.19 (v90(constB187, bitIndex2)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28856, 28791, 28790, 28786, 28785, 28784, 28783])).
% 50.14/33.19 tff(28858,plain,
% 50.14/33.19 (~v121(constB187)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28074, 883, 28857])).
% 50.14/33.19 tff(28859,plain,
% 50.14/33.19 (v124(constB187) | v121(constB187)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28174, 1143, 28790, 28786, 28785, 28784, 28783])).
% 50.14/33.19 tff(28860,plain,
% 50.14/33.19 (v124(constB187)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28859, 28858])).
% 50.14/33.19 tff(28861,plain,
% 50.14/33.19 (~v90(constB187, bitIndex1)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28103, 763, 28860])).
% 50.14/33.19 tff(28862,plain,
% 50.14/33.19 (~v90(constB186, bitIndex1)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[26408, 28861])).
% 50.14/33.19 tff(28863,plain,
% 50.14/33.19 (v90(constB186, bitIndex0)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28833, 26413])).
% 50.14/33.19 tff(28864,plain,
% 50.14/33.19 (v90(constB185, bitIndex0)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28282, 28863, 26413])).
% 50.14/33.19 tff(28865,plain,
% 50.14/33.19 (~v90(constB185, bitIndex1)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[26428, 26411, 26413])).
% 50.14/33.19 tff(28866,plain,
% 50.14/33.19 (v90(constB186, bitIndex0)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[26537, 26411, 26410])).
% 50.14/33.19 tff(28867,plain,
% 50.14/33.19 (v90(constB185, bitIndex0)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28282, 26413, 28866])).
% 50.14/33.19 tff(28868,plain,
% 50.14/33.19 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB185, bitIndex0)) | v90(constB185, bitIndex1) | v90(constB185, bitIndex2) | v120(constB185))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB185, bitIndex0)) | v90(constB185, bitIndex1) | v90(constB185, bitIndex2) | v120(constB185))),
% 50.14/33.19 inference(rewrite,[status(thm)],[])).
% 50.14/33.19 tff(28869,plain,
% 50.14/33.19 (((~v90(constB185, bitIndex0)) | v120(constB185) | v90(constB185, bitIndex1) | v90(constB185, bitIndex2)) <=> ((~v90(constB185, bitIndex0)) | v90(constB185, bitIndex1) | v90(constB185, bitIndex2) | v120(constB185))),
% 50.14/33.19 inference(rewrite,[status(thm)],[])).
% 50.14/33.19 tff(28870,plain,
% 50.14/33.19 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB185, bitIndex0)) | v120(constB185) | v90(constB185, bitIndex1) | v90(constB185, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB185, bitIndex0)) | v90(constB185, bitIndex1) | v90(constB185, bitIndex2) | v120(constB185)))),
% 50.14/33.19 inference(monotonicity,[status(thm)],[28869])).
% 50.14/33.19 tff(28871,plain,
% 50.14/33.19 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB185, bitIndex0)) | v120(constB185) | v90(constB185, bitIndex1) | v90(constB185, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB185, bitIndex0)) | v90(constB185, bitIndex1) | v90(constB185, bitIndex2) | v120(constB185))),
% 50.14/33.19 inference(transitivity,[status(thm)],[28870, 28868])).
% 50.14/33.19 tff(28872,plain,
% 50.14/33.19 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB185, bitIndex0)) | v120(constB185) | v90(constB185, bitIndex1) | v90(constB185, bitIndex2))),
% 50.14/33.19 inference(quant_inst,[status(thm)],[])).
% 50.14/33.19 tff(28873,plain,
% 50.14/33.19 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB185, bitIndex0)) | v90(constB185, bitIndex1) | v90(constB185, bitIndex2) | v120(constB185)),
% 50.14/33.19 inference(modus_ponens,[status(thm)],[28872, 28871])).
% 50.14/33.19 tff(28874,plain,
% 50.14/33.19 (v120(constB185)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28873, 1285, 28867, 26429, 26421])).
% 50.14/33.19 tff(28875,plain,
% 50.14/33.19 (((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB185) | (~v120(constB185)))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB185) | (~v120(constB185)))),
% 50.14/33.19 inference(rewrite,[status(thm)],[])).
% 50.14/33.19 tff(28876,plain,
% 50.14/33.19 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | (v118(constB185) | (~v120(constB185)))),
% 50.14/33.19 inference(quant_inst,[status(thm)],[])).
% 50.14/33.19 tff(28877,plain,
% 50.14/33.19 ((~![VarCurr: $i] : (v118(VarCurr) | (~v120(VarCurr)))) | v118(constB185) | (~v120(constB185))),
% 50.14/33.19 inference(modus_ponens,[status(thm)],[28876, 28875])).
% 50.14/33.19 tff(28878,plain,
% 50.14/33.19 (v118(constB185)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28877, 1302, 28874])).
% 50.14/33.19 tff(28879,plain,
% 50.14/33.19 (v117(constB185)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[26448, 166, 28878])).
% 50.14/33.19 tff(28880,plain,
% 50.14/33.19 (v116(constB185)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[26452, 177, 28879])).
% 50.14/33.19 tff(28881,plain,
% 50.14/33.19 ($false),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[26468, 188, 28880, 26465])).
% 50.14/33.19 tff(28882,plain,(v100(constB186) | v90(constB186, bitIndex2) | v90(constB186, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 50.14/33.19 tff(28883,plain,
% 50.14/33.19 (v90(constB186, bitIndex2)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28882, 26411, 26413])).
% 50.14/33.19 tff(28884,plain,
% 50.14/33.19 (v90(constB185, bitIndex2)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28270, 28883, 26413])).
% 50.14/33.19 tff(28885,plain,
% 50.14/33.19 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB185) | (~v124(constB185)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB185) | (~v124(constB185)))),
% 50.14/33.19 inference(rewrite,[status(thm)],[])).
% 50.14/33.19 tff(28886,plain,
% 50.14/33.19 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB185) | (~v124(constB185)))),
% 50.14/33.19 inference(quant_inst,[status(thm)],[])).
% 50.14/33.19 tff(28887,plain,
% 50.14/33.19 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB185) | (~v124(constB185))),
% 50.14/33.19 inference(modus_ponens,[status(thm)],[28886, 28885])).
% 50.14/33.19 tff(28888,plain,
% 50.14/33.19 (~v124(constB185)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28887, 2631, 26461])).
% 50.14/33.19 tff(28889,plain,
% 50.14/33.19 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB185, bitIndex0)) | v90(constB185, bitIndex1) | (~v90(constB185, bitIndex2)) | v124(constB185))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB185, bitIndex0)) | v90(constB185, bitIndex1) | (~v90(constB185, bitIndex2)) | v124(constB185))),
% 50.14/33.19 inference(rewrite,[status(thm)],[])).
% 50.14/33.19 tff(28890,plain,
% 50.14/33.19 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB185, bitIndex0)) | v90(constB185, bitIndex1) | (~v90(constB185, bitIndex2)) | v124(constB185))),
% 50.14/33.19 inference(quant_inst,[status(thm)],[])).
% 50.14/33.19 tff(28891,plain,
% 50.14/33.19 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB185, bitIndex0)) | v90(constB185, bitIndex1) | (~v90(constB185, bitIndex2)) | v124(constB185)),
% 50.14/33.19 inference(modus_ponens,[status(thm)],[28890, 28889])).
% 50.14/33.19 tff(28892,plain,
% 50.14/33.19 ((~v90(constB185, bitIndex0)) | v90(constB185, bitIndex1) | (~v90(constB185, bitIndex2))),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28891, 2663, 28888])).
% 50.14/33.19 tff(28893,plain,
% 50.14/33.19 ($false),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28892, 28884, 28865, 28864])).
% 50.14/33.19 tff(28894,plain,(v90(constB186, bitIndex1) | v100(constB186)), inference(lemma,lemma(discharge,[]))).
% 50.14/33.19 tff(28895,plain,
% 50.14/33.19 (v100(constB186)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28894, 28862])).
% 50.14/33.19 tff(28896,plain,
% 50.14/33.19 (v90(constB186, bitIndex2)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[24512, 28857])).
% 50.14/33.19 tff(28897,plain,
% 50.14/33.19 (v129(constB186, bitIndex2) | (~v100(constB186))),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[24502, 1258, 28896])).
% 50.14/33.19 tff(28898,plain,
% 50.14/33.19 (v129(constB186, bitIndex2)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28897, 28895])).
% 50.14/33.19 tff(28899,plain,
% 50.14/33.19 (v127(constB185, bitIndex2)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[24495, 28898])).
% 50.14/33.19 tff(28900,plain,
% 50.14/33.19 (v130(constB185, bitIndex2)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[24490, 28899])).
% 50.14/33.19 tff(28901,plain,
% 50.14/33.19 (~v121(constB185)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28316, 1645, 28900])).
% 50.14/33.19 tff(28902,plain,
% 50.14/33.19 (v119(constB185)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[24480, 28901, 28791, 28900])).
% 50.14/33.19 tff(28903,plain,
% 50.14/33.19 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB187, bitIndex0) | (~v124(constB187)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB187, bitIndex0) | (~v124(constB187)))),
% 50.14/33.19 inference(rewrite,[status(thm)],[])).
% 50.14/33.19 tff(28904,plain,
% 50.14/33.19 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | (v90(constB187, bitIndex0) | (~v124(constB187)))),
% 50.14/33.19 inference(quant_inst,[status(thm)],[])).
% 50.14/33.19 tff(28905,plain,
% 50.14/33.19 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v124(VarCurr)))) | v90(constB187, bitIndex0) | (~v124(constB187))),
% 50.14/33.19 inference(modus_ponens,[status(thm)],[28904, 28903])).
% 50.14/33.19 tff(28906,plain,
% 50.14/33.19 (v90(constB187, bitIndex0)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28905, 2932, 28860])).
% 50.14/33.19 tff(28907,plain,
% 50.14/33.19 (v90(constB186, bitIndex0)),
% 50.14/33.19 inference(unit_resolution,[status(thm)],[28137, 28906])).
% 50.14/33.20 tff(28908,plain,
% 50.14/33.20 (v129(constB186, bitIndex0)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[28127, 557, 28895, 28907])).
% 50.14/33.20 tff(28909,plain,
% 50.14/33.20 (v127(constB185, bitIndex0)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[28120, 28908])).
% 50.14/33.20 tff(28910,plain,
% 50.14/33.20 (v130(constB185, bitIndex0)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[28115, 28909])).
% 50.14/33.20 tff(28911,plain,
% 50.14/33.20 ($false),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[24409, 510, 28910, 28902])).
% 50.14/33.20 tff(28912,plain,(v90(constB190, bitIndex1) | v121(constB189) | v90(constB190, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 50.14/33.20 tff(28913,plain,
% 50.14/33.20 (v90(constB190, bitIndex1)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[28912, 28491, 28621])).
% 50.14/33.20 tff(28914,plain,
% 50.14/33.20 (v90(constB189, bitIndex1)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[28045, 28038, 28913])).
% 50.14/33.20 tff(28915,plain,
% 50.14/33.20 (v90(constB189, bitIndex0) | (~v90(constB189, bitIndex1)) | v90(constB189, bitIndex2)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[26746, 1551, 28491])).
% 50.14/33.20 tff(28916,plain,
% 50.14/33.20 (v90(constB189, bitIndex2)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[28915, 28914, 28629])).
% 50.14/33.20 tff(28917,plain,
% 50.14/33.20 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB189, bitIndex0) | (~v90(constB189, bitIndex1)) | (~v90(constB189, bitIndex2)) | v125(constB189))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB189, bitIndex0) | (~v90(constB189, bitIndex1)) | (~v90(constB189, bitIndex2)) | v125(constB189))),
% 50.14/33.20 inference(rewrite,[status(thm)],[])).
% 50.14/33.20 tff(28918,plain,
% 50.14/33.20 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB189, bitIndex0) | (~v90(constB189, bitIndex1)) | (~v90(constB189, bitIndex2)) | v125(constB189))),
% 50.14/33.20 inference(quant_inst,[status(thm)],[])).
% 50.14/33.20 tff(28919,plain,
% 50.14/33.20 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB189, bitIndex0) | (~v90(constB189, bitIndex1)) | (~v90(constB189, bitIndex2)) | v125(constB189)),
% 50.14/33.20 inference(modus_ponens,[status(thm)],[28918, 28917])).
% 50.14/33.20 tff(28920,plain,
% 50.14/33.20 (v125(constB189)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[28919, 1019, 28629, 28914, 28916])).
% 50.14/33.20 tff(28921,plain,
% 50.14/33.20 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB189) | (~v125(constB189)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB189) | (~v125(constB189)))),
% 50.14/33.20 inference(rewrite,[status(thm)],[])).
% 50.14/33.20 tff(28922,plain,
% 50.14/33.20 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB189) | (~v125(constB189)))),
% 50.14/33.20 inference(quant_inst,[status(thm)],[])).
% 50.14/33.20 tff(28923,plain,
% 50.14/33.20 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB189) | (~v125(constB189))),
% 50.14/33.20 inference(modus_ponens,[status(thm)],[28922, 28921])).
% 50.14/33.20 tff(28924,plain,
% 50.14/33.20 ($false),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[28923, 1031, 28615, 28920])).
% 50.14/33.20 tff(28925,plain,(v100(constB190) | v121(constB189) | v90(constB190, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 50.14/33.20 tff(28926,plain,
% 50.14/33.20 (v90(constB190, bitIndex0)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[28925, 28620, 28038])).
% 50.14/33.20 tff(28927,plain,
% 50.14/33.20 (v90(constB189, bitIndex0)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[27263, 28926, 28038])).
% 50.14/33.20 tff(28928,plain,
% 50.14/33.20 (((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB189) | (~v124(constB189)))) <=> ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB189) | (~v124(constB189)))),
% 50.14/33.20 inference(rewrite,[status(thm)],[])).
% 50.14/33.20 tff(28929,plain,
% 50.14/33.20 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | (v114(constB189) | (~v124(constB189)))),
% 50.14/33.20 inference(quant_inst,[status(thm)],[])).
% 50.14/33.20 tff(28930,plain,
% 50.14/33.20 ((~![VarCurr: $i] : (v114(VarCurr) | (~v124(VarCurr)))) | v114(constB189) | (~v124(constB189))),
% 50.14/33.20 inference(modus_ponens,[status(thm)],[28929, 28928])).
% 50.14/33.20 tff(28931,plain,
% 50.14/33.20 (~v124(constB189)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[28930, 2631, 28616])).
% 50.14/33.20 tff(28932,plain,
% 50.14/33.20 (~v118(constB189)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[27245, 166, 28619])).
% 50.14/33.20 tff(28933,plain,
% 50.14/33.20 (~v120(constB189)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[27287, 1302, 28932])).
% 50.14/33.20 tff(28934,assumption,(v90(constB189, bitIndex0)), introduced(assumption)).
% 50.14/33.20 tff(28935,plain,
% 50.14/33.20 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB189, bitIndex0)) | v90(constB189, bitIndex1) | (~v90(constB189, bitIndex2)) | v124(constB189))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB189, bitIndex0)) | v90(constB189, bitIndex1) | (~v90(constB189, bitIndex2)) | v124(constB189))),
% 50.14/33.20 inference(rewrite,[status(thm)],[])).
% 50.14/33.20 tff(28936,plain,
% 50.14/33.20 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | ((~v90(constB189, bitIndex0)) | v90(constB189, bitIndex1) | (~v90(constB189, bitIndex2)) | v124(constB189))),
% 50.14/33.20 inference(quant_inst,[status(thm)],[])).
% 50.14/33.20 tff(28937,plain,
% 50.14/33.20 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v90(VarCurr, bitIndex1) | (~v90(VarCurr, bitIndex2)) | v124(VarCurr))) | (~v90(constB189, bitIndex0)) | v90(constB189, bitIndex1) | (~v90(constB189, bitIndex2)) | v124(constB189)),
% 50.14/33.20 inference(modus_ponens,[status(thm)],[28936, 28935])).
% 50.14/33.20 tff(28938,plain,
% 50.14/33.20 ((~v90(constB189, bitIndex0)) | v90(constB189, bitIndex1) | (~v90(constB189, bitIndex2))),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[28937, 2663, 27971])).
% 50.14/33.20 tff(28939,plain,
% 50.14/33.20 (~v90(constB189, bitIndex2)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[28938, 28466, 28934])).
% 50.14/33.20 tff(28940,plain,
% 50.14/33.20 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB189, bitIndex0)) | v90(constB189, bitIndex1) | v90(constB189, bitIndex2) | v120(constB189))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB189, bitIndex0)) | v90(constB189, bitIndex1) | v90(constB189, bitIndex2) | v120(constB189))),
% 50.14/33.20 inference(rewrite,[status(thm)],[])).
% 50.14/33.20 tff(28941,plain,
% 50.14/33.20 (((~v90(constB189, bitIndex0)) | v120(constB189) | v90(constB189, bitIndex1) | v90(constB189, bitIndex2)) <=> ((~v90(constB189, bitIndex0)) | v90(constB189, bitIndex1) | v90(constB189, bitIndex2) | v120(constB189))),
% 50.14/33.20 inference(rewrite,[status(thm)],[])).
% 50.14/33.20 tff(28942,plain,
% 50.14/33.20 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB189, bitIndex0)) | v120(constB189) | v90(constB189, bitIndex1) | v90(constB189, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB189, bitIndex0)) | v90(constB189, bitIndex1) | v90(constB189, bitIndex2) | v120(constB189)))),
% 50.14/33.20 inference(monotonicity,[status(thm)],[28941])).
% 50.14/33.20 tff(28943,plain,
% 50.14/33.20 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB189, bitIndex0)) | v120(constB189) | v90(constB189, bitIndex1) | v90(constB189, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB189, bitIndex0)) | v90(constB189, bitIndex1) | v90(constB189, bitIndex2) | v120(constB189))),
% 50.14/33.20 inference(transitivity,[status(thm)],[28942, 28940])).
% 50.14/33.20 tff(28944,plain,
% 50.14/33.20 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | ((~v90(constB189, bitIndex0)) | v120(constB189) | v90(constB189, bitIndex1) | v90(constB189, bitIndex2))),
% 50.14/33.20 inference(quant_inst,[status(thm)],[])).
% 50.14/33.20 tff(28945,plain,
% 50.14/33.20 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v120(VarCurr) | v90(VarCurr, bitIndex1) | v90(VarCurr, bitIndex2))) | (~v90(constB189, bitIndex0)) | v90(constB189, bitIndex1) | v90(constB189, bitIndex2) | v120(constB189)),
% 50.14/33.20 inference(modus_ponens,[status(thm)],[28944, 28943])).
% 50.14/33.20 tff(28946,plain,
% 50.14/33.20 (v90(constB189, bitIndex1) | v90(constB189, bitIndex2)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[28945, 1285, 28934, 28004])).
% 50.14/33.20 tff(28947,plain,
% 50.14/33.20 ($false),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[28946, 28939, 28466])).
% 50.14/33.20 tff(28948,plain,(v90(constB189, bitIndex1) | (~v90(constB189, bitIndex0)) | v120(constB189) | v124(constB189)), inference(lemma,lemma(discharge,[]))).
% 50.14/33.20 tff(28949,plain,
% 50.14/33.20 (v90(constB189, bitIndex1)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[28948, 28927, 28933, 28931])).
% 50.14/33.20 tff(28950,plain,
% 50.14/33.20 (~v122(constB189)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[27255, 1800, 28618])).
% 50.14/33.20 tff(28951,plain,
% 50.14/33.20 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB189, bitIndex0)) | (~v90(constB189, bitIndex1)) | v90(constB189, bitIndex2) | v122(constB189))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB189, bitIndex0)) | (~v90(constB189, bitIndex1)) | v90(constB189, bitIndex2) | v122(constB189))),
% 50.14/33.20 inference(rewrite,[status(thm)],[])).
% 50.14/33.20 tff(28952,plain,
% 50.14/33.20 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB189, bitIndex0)) | (~v90(constB189, bitIndex1)) | v90(constB189, bitIndex2) | v122(constB189))),
% 50.14/33.20 inference(quant_inst,[status(thm)],[])).
% 50.14/33.20 tff(28953,plain,
% 50.14/33.20 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB189, bitIndex0)) | (~v90(constB189, bitIndex1)) | v90(constB189, bitIndex2) | v122(constB189)),
% 50.14/33.20 inference(modus_ponens,[status(thm)],[28952, 28951])).
% 50.14/33.20 tff(28954,plain,
% 50.14/33.20 ((~v90(constB189, bitIndex0)) | (~v90(constB189, bitIndex1)) | v90(constB189, bitIndex2)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[28953, 1789, 28950])).
% 50.14/33.20 tff(28955,plain,
% 50.14/33.20 (v90(constB189, bitIndex2)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[28954, 28949, 28927])).
% 50.14/33.20 tff(28956,plain,
% 50.14/33.20 (v90(constB188, bitIndex0)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[26742, 28927])).
% 50.14/33.20 tff(28957,plain,
% 50.14/33.20 (v90(constB190, bitIndex1)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[28657, 28949, 28038])).
% 50.14/33.20 tff(28958,plain,
% 50.14/33.20 (~v90(constB190, bitIndex2)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[28318, 28957, 28956, 28038])).
% 50.14/33.20 tff(28959,plain,
% 50.14/33.20 ($false),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[28638, 28958, 28955, 28038])).
% 50.14/33.20 tff(28960,plain,(v100(constB190)), inference(lemma,lemma(discharge,[]))).
% 50.14/33.20 tff(28961,plain,
% 50.14/33.20 ((~v90(constB190, bitIndex2)) | v129(constB190, bitIndex2)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[26933, 1258, 28960])).
% 50.14/33.20 tff(28962,plain,
% 50.14/33.20 (~v90(constB190, bitIndex2)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[28961, 28611])).
% 50.14/33.20 tff(28963,plain,
% 50.14/33.20 (~v90(constB191, bitIndex2)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[26961, 28962])).
% 50.14/33.20 tff(28964,plain,
% 50.14/33.20 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB189, bitIndex1)) | (~v120(constB189)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB189, bitIndex1)) | (~v120(constB189)))),
% 50.14/33.20 inference(rewrite,[status(thm)],[])).
% 50.14/33.20 tff(28965,plain,
% 50.14/33.20 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB189, bitIndex1)) | (~v120(constB189)))),
% 50.14/33.20 inference(quant_inst,[status(thm)],[])).
% 50.14/33.20 tff(28966,plain,
% 50.14/33.20 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB189, bitIndex1)) | (~v120(constB189))),
% 50.14/33.20 inference(modus_ponens,[status(thm)],[28965, 28964])).
% 50.14/33.20 tff(28967,plain,
% 50.14/33.20 (~v120(constB189)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[28966, 2312, 28603])).
% 50.14/33.20 tff(28968,plain,
% 50.14/33.20 (~v119(constB189)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[28537, 2293, 28603])).
% 50.14/33.20 tff(28969,plain,
% 50.14/33.20 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB189, bitIndex1)) | (~v124(constB189)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB189, bitIndex1)) | (~v124(constB189)))),
% 50.14/33.20 inference(rewrite,[status(thm)],[])).
% 50.14/33.20 tff(28970,plain,
% 50.14/33.20 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB189, bitIndex1)) | (~v124(constB189)))),
% 50.14/33.20 inference(quant_inst,[status(thm)],[])).
% 50.14/33.20 tff(28971,plain,
% 50.14/33.20 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB189, bitIndex1)) | (~v124(constB189))),
% 50.14/33.20 inference(modus_ponens,[status(thm)],[28970, 28969])).
% 50.14/33.20 tff(28972,plain,
% 50.14/33.20 (~v124(constB189)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[28971, 763, 28603])).
% 50.14/33.20 tff(28973,plain,
% 50.14/33.20 (v130(constB189, bitIndex0) | v121(constB189)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[27282, 908, 28972, 28607, 27797, 28968, 28967])).
% 50.14/33.20 tff(28974,plain,
% 50.14/33.20 (v130(constB189, bitIndex0)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[28973, 28608])).
% 50.14/33.20 tff(28975,plain,
% 50.14/33.20 (v127(constB189, bitIndex0)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[26970, 28974])).
% 50.14/33.20 tff(28976,plain,
% 50.14/33.20 (v129(constB190, bitIndex0)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[26975, 28975])).
% 50.14/33.20 tff(28977,plain,
% 50.14/33.20 (v90(constB190, bitIndex0) | (~v129(constB190, bitIndex0))),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[26982, 1088, 28960])).
% 50.14/33.20 tff(28978,plain,
% 50.14/33.20 (v90(constB190, bitIndex0)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[28977, 28976])).
% 50.14/33.20 tff(28979,plain,
% 50.14/33.20 (v90(constB191, bitIndex0)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[26992, 28978])).
% 50.14/33.20 tff(28980,plain,
% 50.14/33.20 ($false),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[27186, 28979, 28963, 28370, 28366])).
% 50.14/33.20 tff(28981,plain,((~v130(constB191, bitIndex0)) | v90(constB189, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 50.14/33.20 tff(28982,plain,
% 50.14/33.20 (~v130(constB191, bitIndex0)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[28981, 26743])).
% 50.14/33.20 tff(28983,plain,
% 50.14/33.20 ((~v127(constB191, bitIndex0)) | v130(constB191, bitIndex0)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[27889, 524, 27040])).
% 50.14/33.20 tff(28984,plain,
% 50.14/33.20 (~v127(constB191, bitIndex0)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[28983, 28982])).
% 50.14/33.20 tff(28985,plain,
% 50.14/33.20 (~v129(constB192, bitIndex0)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[27882, 28984])).
% 50.14/33.20 tff(28986,plain,
% 50.14/33.20 ((~v90(constB192, bitIndex0)) | v129(constB192, bitIndex0)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[27876, 557, 28338])).
% 50.14/33.20 tff(28987,plain,
% 50.14/33.20 (~v90(constB192, bitIndex0)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[28986, 28985])).
% 50.14/33.20 tff(28988,plain,
% 50.14/33.20 (~v90(constB193, bitIndex0)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[27805, 28987])).
% 50.14/33.20 tff(28989,plain,
% 50.14/33.20 (v90(constB193, bitIndex1) | (~v90(constB193, bitIndex2)) | v123(constB193)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[27717, 584, 28988])).
% 50.14/33.20 tff(28990,plain,
% 50.14/33.20 (v123(constB193)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[28989, 28364, 28341])).
% 50.14/33.20 tff(28991,plain,
% 50.14/33.20 (((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB193)) | (~v130(constB193, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB193)) | (~v130(constB193, bitIndex0)))),
% 50.14/33.20 inference(rewrite,[status(thm)],[])).
% 50.14/33.20 tff(28992,plain,
% 50.14/33.20 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v123(constB193)) | (~v130(constB193, bitIndex0)))),
% 50.14/33.20 inference(quant_inst,[status(thm)],[])).
% 50.14/33.20 tff(28993,plain,
% 50.14/33.20 ((~![VarCurr: $i] : ((~v123(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v123(constB193)) | (~v130(constB193, bitIndex0))),
% 50.14/33.20 inference(modus_ponens,[status(thm)],[28992, 28991])).
% 50.14/33.20 tff(28994,plain,
% 50.14/33.20 (~v130(constB193, bitIndex0)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[28993, 975, 28990])).
% 50.14/33.20 tff(28995,plain,
% 50.14/33.20 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | ((~v127(constB193, bitIndex0)) | v26(constB193) | v130(constB193, bitIndex0))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB193, bitIndex0)) | v26(constB193) | v130(constB193, bitIndex0))),
% 50.14/33.20 inference(rewrite,[status(thm)],[])).
% 50.14/33.20 tff(28996,plain,
% 50.14/33.20 ((v26(constB193) | v130(constB193, bitIndex0) | (~v127(constB193, bitIndex0))) <=> ((~v127(constB193, bitIndex0)) | v26(constB193) | v130(constB193, bitIndex0))),
% 50.14/33.20 inference(rewrite,[status(thm)],[])).
% 50.14/33.20 tff(28997,plain,
% 50.14/33.20 (((~![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)))) | ((~v127(constB193, bitIndex0)) | v26(constB193) | v130(constB193, bitIndex0)))),
% 50.14/33.20 inference(monotonicity,[status(thm)],[28996])).
% 50.14/33.20 tff(28998,plain,
% 50.14/33.20 (((~![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)))) | (~v127(constB193, bitIndex0)) | v26(constB193) | v130(constB193, bitIndex0))),
% 50.14/33.20 inference(transitivity,[status(thm)],[28997, 28995])).
% 50.14/33.20 tff(28999,plain,
% 50.14/33.20 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB193) | v130(constB193, bitIndex0) | (~v127(constB193, bitIndex0)))),
% 50.14/33.20 inference(quant_inst,[status(thm)],[])).
% 50.14/33.20 tff(29000,plain,
% 50.14/33.20 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB193, bitIndex0)) | v26(constB193) | v130(constB193, bitIndex0)),
% 50.14/33.20 inference(modus_ponens,[status(thm)],[28999, 28998])).
% 50.14/33.20 tff(29001,plain,
% 50.14/33.20 ((~v127(constB193, bitIndex0)) | v130(constB193, bitIndex0)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[29000, 524, 27448])).
% 50.14/33.20 tff(29002,plain,
% 50.14/33.20 (~v127(constB193, bitIndex0)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[29001, 28994])).
% 50.14/33.20 tff(29003,plain,
% 50.14/33.20 (((~![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)))),
% 50.14/33.20 inference(rewrite,[status(thm)],[])).
% 50.14/33.20 tff(29004,plain,
% 50.14/33.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB193, constB194)) | v127(constB193, bitIndex0) | (~v129(constB194, bitIndex0)))),
% 50.14/33.20 inference(quant_inst,[status(thm)],[])).
% 50.14/33.20 tff(29005,plain,
% 50.14/33.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB193, constB194)) | v127(constB193, bitIndex0) | (~v129(constB194, bitIndex0))),
% 50.14/33.20 inference(modus_ponens,[status(thm)],[29004, 29003])).
% 50.14/33.20 tff(29006,plain,
% 50.14/33.20 (v127(constB193, bitIndex0) | (~v129(constB194, bitIndex0))),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[29005, 542, 27459])).
% 50.14/33.20 tff(29007,plain,
% 50.14/33.20 (~v129(constB194, bitIndex0)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[29006, 29002])).
% 50.14/33.20 tff(29008,plain,
% 50.14/33.20 (~v119(constB189)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[28537, 2293, 26709])).
% 50.14/33.20 tff(29009,plain,
% 50.14/33.20 (~v123(constB189)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[28606, 774, 26709])).
% 50.14/33.20 tff(29010,plain,
% 50.14/33.20 (v100(constB194)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[28033, 29009, 26743, 29008])).
% 50.14/33.20 tff(29011,plain,
% 50.14/33.20 (((~![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)))),
% 50.14/33.20 inference(rewrite,[status(thm)],[])).
% 50.14/33.20 tff(29012,plain,
% 50.14/33.20 (((~v90(constB194, bitIndex0)) | (~v100(constB194)) | v129(constB194, bitIndex0)) <=> ((~v90(constB194, bitIndex0)) | v129(constB194, bitIndex0) | (~v100(constB194)))),
% 50.14/33.20 inference(rewrite,[status(thm)],[])).
% 50.14/33.20 tff(29013,plain,
% 50.14/33.20 (((~![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))))),
% 50.14/33.20 inference(monotonicity,[status(thm)],[29012])).
% 50.14/33.20 tff(29014,plain,
% 50.14/33.20 (((~![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)))),
% 50.14/33.20 inference(transitivity,[status(thm)],[29013, 29011])).
% 50.14/33.20 tff(29015,plain,
% 50.14/33.20 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB194, bitIndex0)) | (~v100(constB194)) | v129(constB194, bitIndex0))),
% 50.14/33.20 inference(quant_inst,[status(thm)],[])).
% 50.14/33.20 tff(29016,plain,
% 50.14/33.20 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB194, bitIndex0)) | v129(constB194, bitIndex0) | (~v100(constB194))),
% 50.14/33.20 inference(modus_ponens,[status(thm)],[29015, 29014])).
% 50.14/33.20 tff(29017,plain,
% 50.14/33.20 ((~v90(constB194, bitIndex0)) | v129(constB194, bitIndex0)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[29016, 557, 29010])).
% 50.14/33.20 tff(29018,plain,
% 50.14/33.20 (~v90(constB194, bitIndex0)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[29017, 29007])).
% 50.14/33.20 tff(29019,plain,
% 50.14/33.20 ((~v1(constB195)) <=> (~v1(constB195))),
% 50.14/33.20 inference(rewrite,[status(thm)],[])).
% 50.14/33.20 tff(29020,axiom,(~v1(constB195)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_195_1_1')).
% 50.14/33.20 tff(29021,plain,
% 50.14/33.20 (~v1(constB195)),
% 50.14/33.20 inference(modus_ponens,[status(thm)],[29020, 29019])).
% 50.14/33.20 tff(29022,plain,
% 50.14/33.20 (nextState(constB194, constB195) <=> nextState(constB194, constB195)),
% 50.14/33.20 inference(rewrite,[status(thm)],[])).
% 50.14/33.20 tff(29023,axiom,(nextState(constB194, constB195)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_194_1')).
% 50.14/33.20 tff(29024,plain,
% 50.14/33.20 (nextState(constB194, constB195)),
% 50.14/33.20 inference(modus_ponens,[status(thm)],[29023, 29022])).
% 50.14/33.20 tff(29025,plain,
% 50.14/33.20 (((~![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)))),
% 50.14/33.20 inference(rewrite,[status(thm)],[])).
% 50.14/33.20 tff(29026,plain,
% 50.14/33.20 (((~nextState(constB194, constB195)) | (~v101(constB195)) | v1(constB195)) <=> (v1(constB195) | (~nextState(constB194, constB195)) | (~v101(constB195)))),
% 50.14/33.20 inference(rewrite,[status(thm)],[])).
% 50.14/33.20 tff(29027,plain,
% 50.14/33.20 (((~![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))))),
% 50.14/33.20 inference(monotonicity,[status(thm)],[29026])).
% 50.14/33.20 tff(29028,plain,
% 50.14/33.20 (((~![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)))),
% 50.14/33.20 inference(transitivity,[status(thm)],[29027, 29025])).
% 50.14/33.20 tff(29029,plain,
% 50.14/33.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB194, constB195)) | (~v101(constB195)) | v1(constB195))),
% 50.14/33.20 inference(quant_inst,[status(thm)],[])).
% 50.14/33.20 tff(29030,plain,
% 50.14/33.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB195) | (~nextState(constB194, constB195)) | (~v101(constB195))),
% 50.14/33.20 inference(modus_ponens,[status(thm)],[29029, 29028])).
% 50.14/33.20 tff(29031,plain,
% 50.14/33.20 (~v101(constB195)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[29030, 49, 29024, 29021])).
% 50.14/33.20 tff(29032,plain,
% 50.14/33.20 (((~![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)))),
% 50.14/33.20 inference(rewrite,[status(thm)],[])).
% 50.14/33.20 tff(29033,plain,
% 50.14/33.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB194, constB195)) | v101(constB195) | (~v100(constB195)))),
% 50.14/33.20 inference(quant_inst,[status(thm)],[])).
% 50.14/33.20 tff(29034,plain,
% 50.14/33.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB194, constB195)) | v101(constB195) | (~v100(constB195))),
% 50.14/33.20 inference(modus_ponens,[status(thm)],[29033, 29032])).
% 50.14/33.20 tff(29035,plain,
% 50.14/33.20 (v101(constB195) | (~v100(constB195))),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[29034, 66, 29024])).
% 50.14/33.20 tff(29036,plain,
% 50.14/33.20 (~v100(constB195)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[29035, 29031])).
% 50.14/33.20 tff(29037,plain,
% 50.14/33.20 (((~![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)))),
% 50.14/33.20 inference(rewrite,[status(thm)],[])).
% 50.14/33.20 tff(29038,plain,
% 50.14/33.20 (((~nextState(constB194, constB195)) | v90(constB194, bitIndex0) | v100(constB195) | (~v90(constB195, bitIndex0))) <=> (v90(constB194, bitIndex0) | (~nextState(constB194, constB195)) | v100(constB195) | (~v90(constB195, bitIndex0)))),
% 50.14/33.20 inference(rewrite,[status(thm)],[])).
% 50.14/33.20 tff(29039,plain,
% 50.14/33.20 (((~![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))))),
% 50.14/33.20 inference(monotonicity,[status(thm)],[29038])).
% 50.14/33.20 tff(29040,plain,
% 50.14/33.20 (((~![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)))),
% 50.14/33.20 inference(transitivity,[status(thm)],[29039, 29037])).
% 50.14/33.20 tff(29041,plain,
% 50.14/33.20 ((~![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)))),
% 50.14/33.20 inference(quant_inst,[status(thm)],[])).
% 50.14/33.20 tff(29042,plain,
% 50.14/33.20 ((~![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))),
% 50.14/33.20 inference(modus_ponens,[status(thm)],[29041, 29040])).
% 50.14/33.20 tff(29043,plain,
% 50.14/33.20 (v90(constB194, bitIndex0) | v100(constB195) | (~v90(constB195, bitIndex0))),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[29042, 123, 29024])).
% 50.14/33.20 tff(29044,plain,
% 50.14/33.20 (v90(constB194, bitIndex0) | (~v90(constB195, bitIndex0))),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[29043, 29036])).
% 50.14/33.20 tff(29045,plain,
% 50.14/33.20 (~v90(constB195, bitIndex0)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[29044, 29018])).
% 50.14/33.20 tff(29046,plain,
% 50.14/33.20 (((~![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)))),
% 50.14/33.20 inference(rewrite,[status(thm)],[])).
% 50.14/33.20 tff(29047,plain,
% 50.14/33.20 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB195, bitIndex0) | (~v88(constB195, bitIndex0)))),
% 50.14/33.20 inference(quant_inst,[status(thm)],[])).
% 50.14/33.20 tff(29048,plain,
% 50.14/33.20 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB195, bitIndex0) | (~v88(constB195, bitIndex0))),
% 50.14/33.20 inference(modus_ponens,[status(thm)],[29047, 29046])).
% 50.14/33.20 tff(29049,plain,
% 50.14/33.20 (~v88(constB195, bitIndex0)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[29048, 10505, 29045])).
% 50.14/33.20 tff(29050,plain,
% 50.14/33.20 (((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB193)) | v130(constB193, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB193)) | v130(constB193, bitIndex2))),
% 50.14/33.20 inference(rewrite,[status(thm)],[])).
% 50.14/33.20 tff(29051,plain,
% 50.14/33.20 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | ((~v123(constB193)) | v130(constB193, bitIndex2))),
% 50.14/33.20 inference(quant_inst,[status(thm)],[])).
% 50.14/33.20 tff(29052,plain,
% 50.14/33.20 ((~![VarCurr: $i] : ((~v123(VarCurr)) | v130(VarCurr, bitIndex2))) | (~v123(constB193)) | v130(constB193, bitIndex2)),
% 50.14/33.20 inference(modus_ponens,[status(thm)],[29051, 29050])).
% 50.14/33.20 tff(29053,plain,
% 50.14/33.20 (v130(constB193, bitIndex2)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[29052, 836, 28990])).
% 50.14/33.20 tff(29054,plain,
% 50.14/33.20 (v127(constB193, bitIndex2)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[27621, 29053])).
% 50.14/33.20 tff(29055,plain,
% 50.14/33.20 (v129(constB194, bitIndex2)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[27616, 29054])).
% 50.14/33.20 tff(29056,plain,
% 50.14/33.20 (v90(constB194, bitIndex2) | (~v129(constB194, bitIndex2))),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[27611, 381, 29010])).
% 50.14/33.20 tff(29057,plain,
% 50.14/33.20 (v90(constB194, bitIndex2)),
% 50.14/33.20 inference(unit_resolution,[status(thm)],[29056, 29055])).
% 50.14/33.20 tff(29058,plain,
% 50.14/33.20 (((~![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))),
% 50.14/33.20 inference(rewrite,[status(thm)],[])).
% 50.14/33.20 tff(29059,plain,
% 50.14/33.20 (((~nextState(constB194, constB195)) | (~v90(constB194, bitIndex2)) | v100(constB195) | v90(constB195, bitIndex2)) <=> ((~v90(constB194, bitIndex2)) | (~nextState(constB194, constB195)) | v100(constB195) | v90(constB195, bitIndex2))),
% 50.14/33.20 inference(rewrite,[status(thm)],[])).
% 50.14/33.20 tff(29060,plain,
% 50.14/33.20 (((~![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)))),
% 50.14/33.21 inference(monotonicity,[status(thm)],[29059])).
% 50.14/33.21 tff(29061,plain,
% 50.14/33.21 (((~![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))),
% 50.14/33.21 inference(transitivity,[status(thm)],[29060, 29058])).
% 50.14/33.21 tff(29062,plain,
% 50.14/33.21 ((~![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))),
% 50.14/33.21 inference(quant_inst,[status(thm)],[])).
% 50.14/33.21 tff(29063,plain,
% 50.14/33.21 ((~![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)),
% 50.14/33.21 inference(modus_ponens,[status(thm)],[29062, 29061])).
% 50.14/33.21 tff(29064,plain,
% 50.14/33.21 ((~v90(constB194, bitIndex2)) | v100(constB195) | v90(constB195, bitIndex2)),
% 50.14/33.21 inference(unit_resolution,[status(thm)],[29063, 417, 29024])).
% 50.14/33.21 tff(29065,plain,
% 50.14/33.21 ((~v90(constB194, bitIndex2)) | v90(constB195, bitIndex2)),
% 50.14/33.21 inference(unit_resolution,[status(thm)],[29064, 29036])).
% 50.14/33.21 tff(29066,plain,
% 50.14/33.21 (v90(constB195, bitIndex2)),
% 50.14/33.21 inference(unit_resolution,[status(thm)],[29065, 29057])).
% 50.14/33.21 tff(29067,plain,
% 50.14/33.21 (((~![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))),
% 50.14/33.21 inference(rewrite,[status(thm)],[])).
% 50.14/33.21 tff(29068,plain,
% 50.14/33.21 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB195, bitIndex2)) | v88(constB195, bitIndex2))),
% 50.14/33.21 inference(quant_inst,[status(thm)],[])).
% 50.14/33.21 tff(29069,plain,
% 50.14/33.21 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB195, bitIndex2)) | v88(constB195, bitIndex2)),
% 50.14/33.21 inference(modus_ponens,[status(thm)],[29068, 29067])).
% 50.14/33.21 tff(29070,plain,
% 50.14/33.21 (v88(constB195, bitIndex2)),
% 50.14/33.21 inference(unit_resolution,[status(thm)],[29069, 25107, 29066])).
% 50.14/33.21 tff(29071,plain,
% 50.14/33.21 (v130(constB193, bitIndex1)),
% 50.14/33.21 inference(unit_resolution,[status(thm)],[27685, 667, 28990])).
% 50.14/33.21 tff(29072,plain,
% 50.14/33.21 ((~v130(constB193, bitIndex1)) | v127(constB193, bitIndex1)),
% 50.14/33.21 inference(unit_resolution,[status(thm)],[27669, 681, 27448])).
% 50.14/33.21 tff(29073,plain,
% 50.14/33.21 (v127(constB193, bitIndex1)),
% 50.14/33.21 inference(unit_resolution,[status(thm)],[29072, 29071])).
% 50.14/33.21 tff(29074,plain,
% 50.14/33.21 (v129(constB194, bitIndex1)),
% 50.14/33.21 inference(unit_resolution,[status(thm)],[27656, 29073])).
% 50.14/33.21 tff(29075,plain,
% 50.14/33.21 (v90(constB194, bitIndex1) | (~v129(constB194, bitIndex1))),
% 50.14/33.21 inference(unit_resolution,[status(thm)],[27650, 711, 29010])).
% 50.14/33.21 tff(29076,plain,
% 50.14/33.21 (v90(constB194, bitIndex1)),
% 50.14/33.21 inference(unit_resolution,[status(thm)],[29075, 29074])).
% 50.14/33.21 tff(29077,plain,
% 50.14/33.21 (((~![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))),
% 50.14/33.21 inference(rewrite,[status(thm)],[])).
% 50.14/33.21 tff(29078,plain,
% 50.14/33.21 (((~nextState(constB194, constB195)) | (~v90(constB194, bitIndex1)) | v100(constB195) | v90(constB195, bitIndex1)) <=> ((~v90(constB194, bitIndex1)) | (~nextState(constB194, constB195)) | v100(constB195) | v90(constB195, bitIndex1))),
% 50.14/33.21 inference(rewrite,[status(thm)],[])).
% 50.14/33.21 tff(29079,plain,
% 50.14/33.21 (((~![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)))),
% 50.14/33.21 inference(monotonicity,[status(thm)],[29078])).
% 50.14/33.21 tff(29080,plain,
% 50.14/33.21 (((~![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))),
% 50.14/33.21 inference(transitivity,[status(thm)],[29079, 29077])).
% 50.14/33.21 tff(29081,plain,
% 50.14/33.21 ((~![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))),
% 50.14/33.21 inference(quant_inst,[status(thm)],[])).
% 50.14/33.21 tff(29082,plain,
% 50.14/33.21 ((~![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)),
% 50.14/33.21 inference(modus_ponens,[status(thm)],[29081, 29080])).
% 50.14/33.21 tff(29083,plain,
% 50.14/33.21 ((~v90(constB194, bitIndex1)) | v100(constB195) | v90(constB195, bitIndex1)),
% 50.14/33.21 inference(unit_resolution,[status(thm)],[29082, 747, 29024])).
% 50.14/33.21 tff(29084,plain,
% 50.14/33.21 ((~v90(constB194, bitIndex1)) | v90(constB195, bitIndex1)),
% 50.14/33.21 inference(unit_resolution,[status(thm)],[29083, 29036])).
% 50.14/33.21 tff(29085,plain,
% 50.14/33.21 (v90(constB195, bitIndex1)),
% 50.14/33.21 inference(unit_resolution,[status(thm)],[29084, 29076])).
% 50.14/33.21 tff(29086,plain,
% 50.14/33.21 (((~![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))),
% 50.14/33.21 inference(rewrite,[status(thm)],[])).
% 50.14/33.21 tff(29087,plain,
% 50.14/33.21 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB195, bitIndex1)) | v88(constB195, bitIndex1))),
% 50.14/33.21 inference(quant_inst,[status(thm)],[])).
% 50.14/33.21 tff(29088,plain,
% 50.14/33.21 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB195, bitIndex1)) | v88(constB195, bitIndex1)),
% 50.14/33.21 inference(modus_ponens,[status(thm)],[29087, 29086])).
% 50.14/33.21 tff(29089,plain,
% 50.14/33.21 (v88(constB195, bitIndex1)),
% 50.14/33.21 inference(unit_resolution,[status(thm)],[29088, 8707, 29085])).
% 50.14/33.21 tff(29090,plain,
% 50.14/33.21 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB195, bitIndex0) | (~v88(constB195, bitIndex2)) | (~v88(constB195, bitIndex1)) | v144(constB195))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB195, bitIndex0) | (~v88(constB195, bitIndex2)) | (~v88(constB195, bitIndex1)) | v144(constB195))),
% 50.14/33.21 inference(rewrite,[status(thm)],[])).
% 50.14/33.21 tff(29091,plain,
% 50.14/33.21 (((~v88(constB195, bitIndex2)) | (~v88(constB195, bitIndex1)) | v88(constB195, bitIndex0) | v144(constB195)) <=> (v88(constB195, bitIndex0) | (~v88(constB195, bitIndex2)) | (~v88(constB195, bitIndex1)) | v144(constB195))),
% 50.14/33.21 inference(rewrite,[status(thm)],[])).
% 50.14/33.21 tff(29092,plain,
% 50.14/33.21 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB195, bitIndex2)) | (~v88(constB195, bitIndex1)) | v88(constB195, bitIndex0) | v144(constB195))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB195, bitIndex0) | (~v88(constB195, bitIndex2)) | (~v88(constB195, bitIndex1)) | v144(constB195)))),
% 50.14/33.21 inference(monotonicity,[status(thm)],[29091])).
% 50.14/33.21 tff(29093,plain,
% 50.14/33.21 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB195, bitIndex2)) | (~v88(constB195, bitIndex1)) | v88(constB195, bitIndex0) | v144(constB195))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB195, bitIndex0) | (~v88(constB195, bitIndex2)) | (~v88(constB195, bitIndex1)) | v144(constB195))),
% 50.14/33.21 inference(transitivity,[status(thm)],[29092, 29090])).
% 50.14/33.21 tff(29094,plain,
% 50.14/33.21 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB195, bitIndex2)) | (~v88(constB195, bitIndex1)) | v88(constB195, bitIndex0) | v144(constB195))),
% 50.14/33.21 inference(quant_inst,[status(thm)],[])).
% 50.14/33.21 tff(29095,plain,
% 50.14/33.21 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB195, bitIndex0) | (~v88(constB195, bitIndex2)) | (~v88(constB195, bitIndex1)) | v144(constB195)),
% 50.14/33.21 inference(modus_ponens,[status(thm)],[29094, 29093])).
% 50.14/33.21 tff(29096,plain,
% 50.14/33.21 (v144(constB195)),
% 50.14/33.21 inference(unit_resolution,[status(thm)],[29095, 25122, 29089, 29070, 29049])).
% 50.14/33.21 tff(29097,plain,
% 50.14/33.21 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB195) | (~v144(constB195)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB195) | (~v144(constB195)))),
% 50.14/33.21 inference(rewrite,[status(thm)],[])).
% 50.14/33.21 tff(29098,plain,
% 50.14/33.21 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB195) | (~v144(constB195)))),
% 50.14/33.21 inference(quant_inst,[status(thm)],[])).
% 50.14/33.21 tff(29099,plain,
% 50.14/33.21 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB195) | (~v144(constB195))),
% 50.14/33.21 inference(modus_ponens,[status(thm)],[29098, 29097])).
% 50.14/33.21 tff(29100,plain,
% 50.14/33.21 (v142(constB195)),
% 50.14/33.21 inference(unit_resolution,[status(thm)],[29099, 25139, 29096])).
% 50.14/33.21 tff(29101,plain,
% 50.14/33.21 (((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB195) | (~v142(constB195)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB195) | (~v142(constB195)))),
% 50.14/33.21 inference(rewrite,[status(thm)],[])).
% 50.14/33.21 tff(29102,plain,
% 50.14/33.21 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB195) | (~v142(constB195)))),
% 50.14/33.21 inference(quant_inst,[status(thm)],[])).
% 50.14/33.21 tff(29103,plain,
% 50.14/33.21 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB195) | (~v142(constB195))),
% 50.14/33.21 inference(modus_ponens,[status(thm)],[29102, 29101])).
% 50.14/33.21 tff(29104,plain,
% 50.14/33.21 (v198(constB195)),
% 50.14/33.21 inference(unit_resolution,[status(thm)],[29103, 10548, 29100])).
% 50.14/33.21 tff(29105,plain,
% 50.14/33.21 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB195)) | (~v201(constB195)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB195)) | (~v201(constB195)))),
% 50.14/33.21 inference(rewrite,[status(thm)],[])).
% 50.14/33.21 tff(29106,plain,
% 50.14/33.21 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB195)) | (~v201(constB195)))),
% 50.14/33.21 inference(quant_inst,[status(thm)],[])).
% 50.14/33.21 tff(29107,plain,
% 50.14/33.21 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB195)) | (~v201(constB195))),
% 50.14/33.21 inference(modus_ponens,[status(thm)],[29106, 29105])).
% 50.14/33.21 tff(29108,plain,
% 50.14/33.21 (~v201(constB195)),
% 50.14/33.21 inference(unit_resolution,[status(thm)],[29107, 8823, 29104])).
% 50.14/33.21 tff(29109,plain,
% 50.14/33.21 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB195) | (~v198(constB195)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB195) | (~v198(constB195)))),
% 50.14/33.21 inference(rewrite,[status(thm)],[])).
% 50.14/33.21 tff(29110,plain,
% 50.14/33.21 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB195) | (~v198(constB195)))),
% 50.14/33.21 inference(quant_inst,[status(thm)],[])).
% 50.14/33.21 tff(29111,plain,
% 50.14/33.21 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB195) | (~v198(constB195))),
% 50.14/33.21 inference(modus_ponens,[status(thm)],[29110, 29109])).
% 50.14/33.21 tff(29112,plain,
% 50.14/33.21 (v197(constB195)),
% 50.14/33.21 inference(unit_resolution,[status(thm)],[29111, 8834, 29104])).
% 50.14/33.21 tff(29113,plain,
% 50.14/33.21 (((~![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))),
% 50.14/33.21 inference(rewrite,[status(thm)],[])).
% 50.14/33.21 tff(29114,plain,
% 50.14/33.21 (((~v197(constB195)) | v201(constB195) | v227(constB195)) <=> (v227(constB195) | (~v197(constB195)) | v201(constB195))),
% 50.14/33.21 inference(rewrite,[status(thm)],[])).
% 50.14/33.21 tff(29115,plain,
% 50.14/33.21 (((~![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)))),
% 50.14/33.21 inference(monotonicity,[status(thm)],[29114])).
% 50.14/33.21 tff(29116,plain,
% 50.14/33.21 (((~![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))),
% 50.14/33.21 inference(transitivity,[status(thm)],[29115, 29113])).
% 50.14/33.21 tff(29117,plain,
% 50.14/33.21 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB195)) | v201(constB195) | v227(constB195))),
% 50.14/33.21 inference(quant_inst,[status(thm)],[])).
% 50.14/33.21 tff(29118,plain,
% 50.14/33.21 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB195) | (~v197(constB195)) | v201(constB195)),
% 50.14/33.21 inference(modus_ponens,[status(thm)],[29117, 29116])).
% 50.14/33.21 tff(29119,plain,
% 50.14/33.21 (v227(constB195)),
% 50.14/33.21 inference(unit_resolution,[status(thm)],[29118, 8848, 29112, 29108])).
% 50.14/33.21 tff(29120,plain,
% 50.14/33.21 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB195)) | (~v223(constB195, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB195)) | (~v223(constB195, bitIndex0)))),
% 50.14/33.21 inference(rewrite,[status(thm)],[])).
% 50.14/33.21 tff(29121,plain,
% 50.14/33.21 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB195)) | (~v223(constB195, bitIndex0)))),
% 50.14/33.21 inference(quant_inst,[status(thm)],[])).
% 50.14/33.21 tff(29122,plain,
% 50.14/33.21 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB195)) | (~v223(constB195, bitIndex0))),
% 50.14/33.21 inference(modus_ponens,[status(thm)],[29121, 29120])).
% 50.14/33.21 tff(29123,plain,
% 50.14/33.21 (~v223(constB195, bitIndex0)),
% 50.14/33.21 inference(unit_resolution,[status(thm)],[29122, 8862, 29119])).
% 50.14/33.21 tff(29124,plain,
% 50.14/33.21 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB195, bitIndex0) | (~v222(constB195)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | v223(constB195, bitIndex0) | (~v222(constB195)))),
% 50.14/33.21 inference(rewrite,[status(thm)],[])).
% 50.14/33.21 tff(29125,plain,
% 50.14/33.21 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB195, bitIndex0) | (~v222(constB195)))),
% 50.14/33.21 inference(quant_inst,[status(thm)],[])).
% 50.14/33.21 tff(29126,plain,
% 50.14/33.21 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | v223(constB195, bitIndex0) | (~v222(constB195))),
% 50.14/33.21 inference(modus_ponens,[status(thm)],[29125, 29124])).
% 50.14/33.21 tff(29127,plain,
% 50.14/33.21 (~v222(constB195)),
% 50.14/33.21 inference(unit_resolution,[status(thm)],[29126, 10578, 29123])).
% 50.14/33.21 tff(29128,plain,
% 50.14/33.21 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v139(constB195)) | (~v88(constB195, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB195)) | (~v88(constB195, bitIndex1)))),
% 50.14/33.21 inference(rewrite,[status(thm)],[])).
% 50.14/33.21 tff(29129,plain,
% 50.14/33.21 (((~v88(constB195, bitIndex1)) | (~v139(constB195))) <=> ((~v139(constB195)) | (~v88(constB195, bitIndex1)))),
% 50.14/33.21 inference(rewrite,[status(thm)],[])).
% 50.14/33.21 tff(29130,plain,
% 50.14/33.21 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB195, bitIndex1)) | (~v139(constB195)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v139(constB195)) | (~v88(constB195, bitIndex1))))),
% 50.14/33.21 inference(monotonicity,[status(thm)],[29129])).
% 50.14/33.21 tff(29131,plain,
% 50.14/33.21 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB195, bitIndex1)) | (~v139(constB195)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB195)) | (~v88(constB195, bitIndex1)))),
% 50.14/33.21 inference(transitivity,[status(thm)],[29130, 29128])).
% 50.14/33.21 tff(29132,plain,
% 50.14/33.21 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB195, bitIndex1)) | (~v139(constB195)))),
% 50.14/33.21 inference(quant_inst,[status(thm)],[])).
% 50.14/33.21 tff(29133,plain,
% 50.14/33.21 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB195)) | (~v88(constB195, bitIndex1))),
% 50.14/33.21 inference(modus_ponens,[status(thm)],[29132, 29131])).
% 50.14/33.21 tff(29134,plain,
% 50.14/33.21 (~v139(constB195)),
% 50.14/33.21 inference(unit_resolution,[status(thm)],[29133, 10589, 29089])).
% 50.14/33.21 tff(29135,plain,
% 50.14/33.21 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB195, bitIndex1)) | (~v140(constB195)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB195, bitIndex1)) | (~v140(constB195)))),
% 50.14/33.21 inference(rewrite,[status(thm)],[])).
% 50.14/33.21 tff(29136,plain,
% 50.14/33.21 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB195, bitIndex1)) | (~v140(constB195)))),
% 50.14/33.21 inference(quant_inst,[status(thm)],[])).
% 50.14/33.21 tff(29137,plain,
% 50.14/33.21 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB195, bitIndex1)) | (~v140(constB195))),
% 50.14/33.21 inference(modus_ponens,[status(thm)],[29136, 29135])).
% 50.14/33.21 tff(29138,plain,
% 50.14/33.21 (~v140(constB195)),
% 50.14/33.21 inference(unit_resolution,[status(thm)],[29137, 9002, 29089])).
% 50.14/33.21 tff(29139,plain,
% 50.14/33.21 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB195) | v139(constB195) | (~v200(constB195)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB195) | v139(constB195) | (~v200(constB195)))),
% 50.14/33.21 inference(rewrite,[status(thm)],[])).
% 50.14/33.21 tff(29140,plain,
% 50.14/33.21 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB195) | v139(constB195) | (~v200(constB195)))),
% 50.14/33.21 inference(quant_inst,[status(thm)],[])).
% 50.14/33.21 tff(29141,plain,
% 50.14/33.21 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB195) | v139(constB195) | (~v200(constB195))),
% 50.14/33.21 inference(modus_ponens,[status(thm)],[29140, 29139])).
% 50.14/33.21 tff(29142,plain,
% 50.14/33.21 (~v200(constB195)),
% 50.14/33.21 inference(unit_resolution,[status(thm)],[29141, 10610, 29138, 29134])).
% 50.14/33.21 tff(29143,plain,
% 50.14/33.21 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB195, bitIndex2)) | (~v141(constB195)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB195, bitIndex2)) | (~v141(constB195)))),
% 50.14/33.21 inference(rewrite,[status(thm)],[])).
% 50.14/33.21 tff(29144,plain,
% 50.14/33.21 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB195, bitIndex2)) | (~v141(constB195)))),
% 50.14/33.21 inference(quant_inst,[status(thm)],[])).
% 50.14/33.21 tff(29145,plain,
% 50.14/33.21 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB195, bitIndex2)) | (~v141(constB195))),
% 50.14/33.21 inference(modus_ponens,[status(thm)],[29144, 29143])).
% 50.14/33.21 tff(29146,plain,
% 50.14/33.21 (~v141(constB195)),
% 50.14/33.21 inference(unit_resolution,[status(thm)],[29145, 25200, 29070])).
% 50.14/33.21 tff(29147,plain,
% 50.14/33.21 (((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB195) | v200(constB195) | (~v166(constB195)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB195) | v200(constB195) | (~v166(constB195)))),
% 50.14/33.21 inference(rewrite,[status(thm)],[])).
% 50.14/33.21 tff(29148,plain,
% 50.14/33.21 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB195) | v200(constB195) | (~v166(constB195)))),
% 50.14/33.21 inference(quant_inst,[status(thm)],[])).
% 50.14/33.21 tff(29149,plain,
% 50.14/33.21 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB195) | v200(constB195) | (~v166(constB195))),
% 50.14/33.21 inference(modus_ponens,[status(thm)],[29148, 29147])).
% 50.14/33.21 tff(29150,plain,
% 50.14/33.21 (~v166(constB195)),
% 50.14/33.21 inference(unit_resolution,[status(thm)],[29149, 10638, 29146, 29142])).
% 50.14/33.21 tff(29151,plain,
% 50.14/33.21 (((~![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))),
% 50.14/33.21 inference(rewrite,[status(thm)],[])).
% 50.14/33.21 tff(29152,plain,
% 50.14/33.21 (((~v197(constB195)) | v166(constB195) | v241(constB195)) <=> (v241(constB195) | (~v197(constB195)) | v166(constB195))),
% 50.14/33.21 inference(rewrite,[status(thm)],[])).
% 50.14/33.21 tff(29153,plain,
% 50.14/33.21 (((~![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)))),
% 50.14/33.21 inference(monotonicity,[status(thm)],[29152])).
% 50.14/33.21 tff(29154,plain,
% 50.14/33.21 (((~![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))),
% 50.14/33.21 inference(transitivity,[status(thm)],[29153, 29151])).
% 50.14/33.21 tff(29155,plain,
% 50.14/33.21 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB195)) | v166(constB195) | v241(constB195))),
% 50.14/33.21 inference(quant_inst,[status(thm)],[])).
% 50.14/33.21 tff(29156,plain,
% 50.14/33.21 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB195) | (~v197(constB195)) | v166(constB195)),
% 50.14/33.21 inference(modus_ponens,[status(thm)],[29155, 29154])).
% 50.14/33.21 tff(29157,plain,
% 50.14/33.21 (v241(constB195) | (~v197(constB195))),
% 50.14/33.21 inference(unit_resolution,[status(thm)],[29156, 10277, 29150])).
% 50.14/33.21 tff(29158,plain,
% 50.14/33.21 (v241(constB195)),
% 50.14/33.21 inference(unit_resolution,[status(thm)],[29157, 29112])).
% 50.14/33.21 tff(29159,plain,
% 50.14/33.21 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB195)) | (~v223(constB195, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB195)) | (~v223(constB195, bitIndex2)))),
% 50.14/33.21 inference(rewrite,[status(thm)],[])).
% 50.14/33.21 tff(29160,plain,
% 50.14/33.21 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB195)) | (~v223(constB195, bitIndex2)))),
% 50.14/33.21 inference(quant_inst,[status(thm)],[])).
% 50.14/33.21 tff(29161,plain,
% 50.14/33.21 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB195)) | (~v223(constB195, bitIndex2))),
% 50.14/33.21 inference(modus_ponens,[status(thm)],[29160, 29159])).
% 50.14/33.21 tff(29162,plain,
% 50.14/33.21 (~v223(constB195, bitIndex2)),
% 50.14/33.21 inference(unit_resolution,[status(thm)],[29161, 10292, 29158])).
% 50.14/33.21 tff(29163,plain,
% 50.14/33.21 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB195)) | v223(constB195, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB195)) | v223(constB195, bitIndex2))),
% 50.14/33.21 inference(rewrite,[status(thm)],[])).
% 50.14/33.21 tff(29164,plain,
% 50.14/33.21 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB195)) | v223(constB195, bitIndex2))),
% 50.14/33.21 inference(quant_inst,[status(thm)],[])).
% 50.14/33.21 tff(29165,plain,
% 50.14/33.21 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB195)) | v223(constB195, bitIndex2)),
% 50.14/33.21 inference(modus_ponens,[status(thm)],[29164, 29163])).
% 50.14/33.21 tff(29166,plain,
% 50.14/33.21 (~v224(constB195)),
% 50.14/33.21 inference(unit_resolution,[status(thm)],[29165, 10343, 29162])).
% 50.14/33.21 tff(29167,plain,
% 50.14/33.21 (((~![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)))),
% 50.14/33.21 inference(rewrite,[status(thm)],[])).
% 50.14/33.21 tff(29168,plain,
% 50.14/33.21 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB195) | v224(constB195) | (~v236(constB195)))),
% 50.14/33.21 inference(quant_inst,[status(thm)],[])).
% 50.14/33.21 tff(29169,plain,
% 50.14/33.21 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB195) | v224(constB195) | (~v236(constB195))),
% 50.14/33.21 inference(modus_ponens,[status(thm)],[29168, 29167])).
% 50.14/33.21 tff(29170,plain,
% 50.14/33.21 (v222(constB195) | (~v236(constB195))),
% 50.14/33.21 inference(unit_resolution,[status(thm)],[29169, 8968, 29166])).
% 50.14/33.21 tff(29171,plain,
% 50.14/33.21 (~v236(constB195)),
% 50.14/33.21 inference(unit_resolution,[status(thm)],[29170, 29127])).
% 50.14/33.21 tff(29172,plain,
% 50.14/33.21 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB195) | (~v232(constB195)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB195) | (~v232(constB195)))),
% 50.14/33.21 inference(rewrite,[status(thm)],[])).
% 50.14/33.21 tff(29173,plain,
% 50.14/33.21 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB195) | (~v232(constB195)))),
% 50.14/33.21 inference(quant_inst,[status(thm)],[])).
% 50.14/33.21 tff(29174,plain,
% 50.14/33.21 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB195) | (~v232(constB195))),
% 50.14/33.21 inference(modus_ponens,[status(thm)],[29173, 29172])).
% 50.14/33.21 tff(29175,plain,
% 50.14/33.21 (~v232(constB195)),
% 50.14/33.21 inference(unit_resolution,[status(thm)],[29174, 8980, 29171])).
% 50.14/33.21 tff(29176,plain,
% 50.14/33.21 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB195) | v139(constB195) | (~v148(constB195)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB195) | v139(constB195) | (~v148(constB195)))),
% 50.14/33.21 inference(rewrite,[status(thm)],[])).
% 50.14/33.21 tff(29177,plain,
% 50.14/33.21 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB195) | v139(constB195) | (~v148(constB195)))),
% 50.14/33.21 inference(quant_inst,[status(thm)],[])).
% 50.14/33.21 tff(29178,plain,
% 50.14/33.21 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB195) | v139(constB195) | (~v148(constB195))),
% 50.14/33.21 inference(modus_ponens,[status(thm)],[29177, 29176])).
% 50.14/33.21 tff(29179,plain,
% 50.14/33.21 (~v148(constB195)),
% 50.14/33.21 inference(unit_resolution,[status(thm)],[29178, 9016, 29138, 29134])).
% 50.14/33.21 tff(29180,plain,
% 50.14/33.21 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB195) | (~v197(constB195)) | v148(constB195))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB195) | (~v197(constB195)) | v148(constB195))),
% 50.14/33.21 inference(rewrite,[status(thm)],[])).
% 50.14/33.21 tff(29181,plain,
% 50.14/33.21 ((v148(constB195) | (~v197(constB195)) | v252(constB195)) <=> (v252(constB195) | (~v197(constB195)) | v148(constB195))),
% 50.14/33.21 inference(rewrite,[status(thm)],[])).
% 50.14/33.21 tff(29182,plain,
% 50.14/33.21 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB195) | (~v197(constB195)) | v252(constB195))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB195) | (~v197(constB195)) | v148(constB195)))),
% 50.14/33.21 inference(monotonicity,[status(thm)],[29181])).
% 50.14/33.21 tff(29183,plain,
% 50.14/33.21 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB195) | (~v197(constB195)) | v252(constB195))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB195) | (~v197(constB195)) | v148(constB195))),
% 50.14/33.21 inference(transitivity,[status(thm)],[29182, 29180])).
% 50.14/33.21 tff(29184,plain,
% 50.14/33.21 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB195) | (~v197(constB195)) | v252(constB195))),
% 50.14/33.21 inference(quant_inst,[status(thm)],[])).
% 50.14/33.21 tff(29185,plain,
% 50.14/33.21 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB195) | (~v197(constB195)) | v148(constB195)),
% 50.14/33.21 inference(modus_ponens,[status(thm)],[29184, 29183])).
% 50.14/33.21 tff(29186,plain,
% 50.14/33.21 (v252(constB195) | (~v197(constB195))),
% 50.14/33.21 inference(unit_resolution,[status(thm)],[29185, 9033, 29179])).
% 50.14/33.21 tff(29187,plain,
% 50.14/33.21 (v252(constB195)),
% 50.14/33.21 inference(unit_resolution,[status(thm)],[29186, 29112])).
% 50.14/33.21 tff(29188,plain,
% 50.14/33.21 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB195)) | (~v223(constB195, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB195)) | (~v223(constB195, bitIndex3)))),
% 50.14/33.21 inference(rewrite,[status(thm)],[])).
% 50.14/33.21 tff(29189,plain,
% 50.14/33.21 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB195)) | (~v223(constB195, bitIndex3)))),
% 50.14/33.21 inference(quant_inst,[status(thm)],[])).
% 50.14/33.21 tff(29190,plain,
% 50.14/33.21 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB195)) | (~v223(constB195, bitIndex3))),
% 50.14/33.21 inference(modus_ponens,[status(thm)],[29189, 29188])).
% 50.14/33.21 tff(29191,plain,
% 50.14/33.21 (~v223(constB195, bitIndex3)),
% 50.14/33.21 inference(unit_resolution,[status(thm)],[29190, 9048, 29187])).
% 50.14/33.21 tff(29192,plain,
% 50.14/33.21 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB195)) | v223(constB195, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB195)) | v223(constB195, bitIndex3))),
% 50.14/33.21 inference(rewrite,[status(thm)],[])).
% 50.14/33.21 tff(29193,plain,
% 50.14/33.21 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB195)) | v223(constB195, bitIndex3))),
% 50.14/33.21 inference(quant_inst,[status(thm)],[])).
% 50.14/33.21 tff(29194,plain,
% 50.14/33.21 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB195)) | v223(constB195, bitIndex3)),
% 50.14/33.21 inference(modus_ponens,[status(thm)],[29193, 29192])).
% 50.14/33.21 tff(29195,plain,
% 50.14/33.21 (~v237(constB195)),
% 50.14/33.21 inference(unit_resolution,[status(thm)],[29194, 9062, 29191])).
% 50.14/33.21 tff(29196,plain,
% 50.14/33.21 (((~![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)))),
% 50.14/33.21 inference(rewrite,[status(thm)],[])).
% 50.14/33.21 tff(29197,plain,
% 50.14/33.21 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB195) | v232(constB195) | (~v248(constB195)))),
% 50.14/33.21 inference(quant_inst,[status(thm)],[])).
% 50.14/33.21 tff(29198,plain,
% 50.14/33.21 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB195) | v232(constB195) | (~v248(constB195))),
% 50.14/33.21 inference(modus_ponens,[status(thm)],[29197, 29196])).
% 50.14/33.21 tff(29199,plain,
% 50.14/33.21 (v232(constB195) | (~v248(constB195))),
% 50.14/33.21 inference(unit_resolution,[status(thm)],[29198, 9076, 29195])).
% 50.14/33.21 tff(29200,plain,
% 50.14/33.21 (~v248(constB195)),
% 50.14/33.21 inference(unit_resolution,[status(thm)],[29199, 29175])).
% 50.14/33.21 tff(29201,plain,
% 50.14/33.21 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB195) | (~v244(constB195)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB195) | (~v244(constB195)))),
% 50.14/33.21 inference(rewrite,[status(thm)],[])).
% 50.14/33.21 tff(29202,plain,
% 50.14/33.21 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB195) | (~v244(constB195)))),
% 50.14/33.21 inference(quant_inst,[status(thm)],[])).
% 50.14/33.21 tff(29203,plain,
% 50.14/33.21 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB195) | (~v244(constB195))),
% 50.14/33.21 inference(modus_ponens,[status(thm)],[29202, 29201])).
% 50.14/33.21 tff(29204,plain,
% 50.14/33.21 (~v244(constB195)),
% 50.14/33.21 inference(unit_resolution,[status(thm)],[29203, 11335, 29200])).
% 50.14/33.21 tff(29205,plain,
% 50.14/33.21 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB195) | (~v216(constB195, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB195) | (~v216(constB195, bitIndex1)))),
% 50.14/33.21 inference(rewrite,[status(thm)],[])).
% 50.14/33.21 tff(29206,plain,
% 50.14/33.21 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB195) | (~v216(constB195, bitIndex1)))),
% 50.14/33.21 inference(quant_inst,[status(thm)],[])).
% 50.14/33.21 tff(29207,plain,
% 50.14/33.21 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB195) | (~v216(constB195, bitIndex1))),
% 50.14/33.21 inference(modus_ponens,[status(thm)],[29206, 29205])).
% 50.14/33.21 tff(29208,plain,
% 50.14/33.21 (~v216(constB195, bitIndex1)),
% 50.14/33.21 inference(unit_resolution,[status(thm)],[29207, 11346, 29204])).
% 50.14/33.21 tff(29209,plain,
% 50.14/33.21 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB195, bitIndex1) | (~v254(constB195)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB195, bitIndex1) | (~v254(constB195)))),
% 50.14/33.21 inference(rewrite,[status(thm)],[])).
% 50.14/33.21 tff(29210,plain,
% 50.14/33.21 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB195, bitIndex1) | (~v254(constB195)))),
% 50.14/33.21 inference(quant_inst,[status(thm)],[])).
% 50.14/33.21 tff(29211,plain,
% 50.14/33.21 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB195, bitIndex1) | (~v254(constB195))),
% 50.14/33.21 inference(modus_ponens,[status(thm)],[29210, 29209])).
% 50.14/33.21 tff(29212,plain,
% 50.14/33.21 (~v254(constB195)),
% 50.14/33.21 inference(unit_resolution,[status(thm)],[29211, 11357, 29208])).
% 50.14/33.21 tff(29213,plain,
% 50.14/33.21 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB195) | (~v231(constB195)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB195) | (~v231(constB195)))),
% 50.14/33.21 inference(rewrite,[status(thm)],[])).
% 50.14/33.21 tff(29214,plain,
% 50.14/33.21 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB195) | (~v231(constB195)))),
% 50.14/33.21 inference(quant_inst,[status(thm)],[])).
% 50.14/33.21 tff(29215,plain,
% 50.14/33.21 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB195) | (~v231(constB195))),
% 50.14/33.21 inference(modus_ponens,[status(thm)],[29214, 29213])).
% 50.14/33.21 tff(29216,plain,
% 50.14/33.21 (~v231(constB195)),
% 50.14/33.21 inference(unit_resolution,[status(thm)],[29215, 11162, 29195])).
% 50.14/33.21 tff(29217,plain,
% 50.14/33.21 (((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB195) | (~v221(constB195)))) <=> ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB195) | (~v221(constB195)))),
% 50.14/33.21 inference(rewrite,[status(thm)],[])).
% 50.14/33.21 tff(29218,plain,
% 50.14/33.21 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB195) | (~v221(constB195)))),
% 50.14/33.21 inference(quant_inst,[status(thm)],[])).
% 50.14/33.21 tff(29219,plain,
% 50.14/33.21 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB195) | (~v221(constB195))),
% 50.14/33.21 inference(modus_ponens,[status(thm)],[29218, 29217])).
% 50.14/33.21 tff(29220,plain,
% 50.14/33.21 (~v221(constB195)),
% 50.14/33.21 inference(unit_resolution,[status(thm)],[29219, 11505, 29166])).
% 50.14/33.21 tff(29221,plain,
% 50.14/33.21 (((~![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)))),
% 50.14/33.21 inference(rewrite,[status(thm)],[])).
% 50.14/33.21 tff(29222,plain,
% 50.14/33.21 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB195) | v231(constB195) | (~v243(constB195)))),
% 50.14/33.21 inference(quant_inst,[status(thm)],[])).
% 50.14/33.21 tff(29223,plain,
% 50.14/33.21 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB195) | v231(constB195) | (~v243(constB195))),
% 50.14/33.21 inference(modus_ponens,[status(thm)],[29222, 29221])).
% 50.14/33.21 tff(29224,plain,
% 50.14/33.21 (~v243(constB195)),
% 50.14/33.21 inference(unit_resolution,[status(thm)],[29223, 11206, 29220, 29216])).
% 50.14/33.22 tff(29225,plain,
% 50.14/33.22 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB195) | v255(constB195))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB195) | v255(constB195))),
% 50.14/33.22 inference(rewrite,[status(thm)],[])).
% 50.14/33.22 tff(29226,plain,
% 50.14/33.22 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB195) | v255(constB195))),
% 50.14/33.22 inference(quant_inst,[status(thm)],[])).
% 50.14/33.22 tff(29227,plain,
% 50.14/33.22 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB195) | v255(constB195)),
% 50.14/33.22 inference(modus_ponens,[status(thm)],[29226, 29225])).
% 50.14/33.22 tff(29228,plain,
% 50.14/33.22 (v255(constB195)),
% 50.14/33.22 inference(unit_resolution,[status(thm)],[29227, 11222, 29224])).
% 50.14/33.22 tff(29229,plain,
% 50.14/33.22 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB195)) | (~v216(constB195, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB195)) | (~v216(constB195, bitIndex2)))),
% 50.14/33.22 inference(rewrite,[status(thm)],[])).
% 50.14/33.22 tff(29230,plain,
% 50.14/33.22 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB195)) | (~v216(constB195, bitIndex2)))),
% 50.14/33.22 inference(quant_inst,[status(thm)],[])).
% 50.14/33.22 tff(29231,plain,
% 50.14/33.22 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB195)) | (~v216(constB195, bitIndex2))),
% 50.14/33.22 inference(modus_ponens,[status(thm)],[29230, 29229])).
% 50.14/33.22 tff(29232,plain,
% 50.14/33.22 (~v216(constB195, bitIndex2)),
% 50.14/33.22 inference(unit_resolution,[status(thm)],[29231, 11237, 29228])).
% 50.14/33.22 tff(29233,plain,
% 50.14/33.22 (((~![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)))),
% 50.14/33.22 inference(rewrite,[status(thm)],[])).
% 50.14/33.22 tff(29234,plain,
% 50.14/33.22 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB195, bitIndex2) | v254(constB195) | (~v215(constB195)))),
% 50.14/33.22 inference(quant_inst,[status(thm)],[])).
% 50.14/33.22 tff(29235,plain,
% 50.14/33.22 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB195, bitIndex2) | v254(constB195) | (~v215(constB195))),
% 50.14/33.22 inference(modus_ponens,[status(thm)],[29234, 29233])).
% 50.14/33.22 tff(29236,plain,
% 50.14/33.22 (v254(constB195) | (~v215(constB195))),
% 50.14/33.22 inference(unit_resolution,[status(thm)],[29235, 11278, 29232])).
% 50.14/33.22 tff(29237,plain,
% 50.14/33.22 (~v215(constB195)),
% 50.14/33.22 inference(unit_resolution,[status(thm)],[29236, 29212])).
% 50.14/33.22 tff(29238,plain,
% 50.14/33.22 ($false),
% 50.14/33.22 inference(unit_resolution,[status(thm)],[29237, 26380])).
% 50.14/33.22 tff(29239,plain,(~(constB195 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.14/33.22 tff(29240,assumption,(constB145 = sK0_VarCurr), introduced(assumption)).
% 50.14/33.22 tff(29241,plain,
% 50.14/33.22 (v215(constB145) <=> v215(sK0_VarCurr)),
% 50.14/33.22 inference(monotonicity,[status(thm)],[29240])).
% 50.14/33.22 tff(29242,plain,
% 50.14/33.22 (v215(sK0_VarCurr) <=> v215(constB145)),
% 50.14/33.22 inference(symmetry,[status(thm)],[29241])).
% 50.14/33.22 tff(29243,plain,
% 50.14/33.22 (v215(constB145)),
% 50.14/33.22 inference(modus_ponens,[status(thm)],[11268, 29242])).
% 50.14/33.22 tff(29244,plain,
% 50.14/33.22 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB145, bitIndex0) | (~v88(constB145, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB145, bitIndex0) | (~v88(constB145, bitIndex0)))),
% 50.14/33.22 inference(rewrite,[status(thm)],[])).
% 50.14/33.22 tff(29245,plain,
% 50.14/33.22 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB145, bitIndex0) | (~v88(constB145, bitIndex0)))),
% 50.14/33.22 inference(quant_inst,[status(thm)],[])).
% 50.14/33.22 tff(29246,plain,
% 50.14/33.22 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB145, bitIndex0) | (~v88(constB145, bitIndex0))),
% 50.14/33.22 inference(modus_ponens,[status(thm)],[29245, 29244])).
% 50.14/33.22 tff(29247,plain,
% 50.14/33.22 (~v88(constB145, bitIndex0)),
% 50.14/33.22 inference(unit_resolution,[status(thm)],[29246, 10505, 20137])).
% 50.14/33.22 tff(29248,plain,
% 50.14/33.22 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB145, bitIndex2)) | v88(constB145, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB145, bitIndex2)) | v88(constB145, bitIndex2))),
% 50.14/33.22 inference(rewrite,[status(thm)],[])).
% 50.14/33.22 tff(29249,plain,
% 50.14/33.22 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB145, bitIndex2)) | v88(constB145, bitIndex2))),
% 50.14/33.22 inference(quant_inst,[status(thm)],[])).
% 50.14/33.22 tff(29250,plain,
% 50.14/33.22 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB145, bitIndex2)) | v88(constB145, bitIndex2)),
% 50.14/33.22 inference(modus_ponens,[status(thm)],[29249, 29248])).
% 50.14/33.22 tff(29251,plain,
% 50.14/33.22 (v88(constB145, bitIndex2)),
% 50.14/33.22 inference(unit_resolution,[status(thm)],[29250, 25107, 20072])).
% 50.14/33.22 tff(29252,plain,
% 50.14/33.22 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB145, bitIndex1)) | v88(constB145, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB145, bitIndex1)) | v88(constB145, bitIndex1))),
% 50.14/33.22 inference(rewrite,[status(thm)],[])).
% 50.14/33.22 tff(29253,plain,
% 50.14/33.22 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB145, bitIndex1)) | v88(constB145, bitIndex1))),
% 50.14/33.22 inference(quant_inst,[status(thm)],[])).
% 50.14/33.22 tff(29254,plain,
% 50.14/33.22 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB145, bitIndex1)) | v88(constB145, bitIndex1)),
% 50.14/33.22 inference(modus_ponens,[status(thm)],[29253, 29252])).
% 50.14/33.22 tff(29255,plain,
% 50.14/33.22 (v88(constB145, bitIndex1)),
% 50.14/33.22 inference(unit_resolution,[status(thm)],[29254, 8707, 20103])).
% 50.14/33.22 tff(29256,plain,
% 50.14/33.22 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB145, bitIndex2)) | v144(constB145) | v88(constB145, bitIndex0) | (~v88(constB145, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB145, bitIndex2)) | v144(constB145) | v88(constB145, bitIndex0) | (~v88(constB145, bitIndex1)))),
% 50.14/33.22 inference(rewrite,[status(thm)],[])).
% 50.14/33.22 tff(29257,plain,
% 50.14/33.22 (((~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0) | v144(constB145)) <=> ((~v88(constB145, bitIndex2)) | v144(constB145) | v88(constB145, bitIndex0) | (~v88(constB145, bitIndex1)))),
% 50.14/33.22 inference(rewrite,[status(thm)],[])).
% 50.14/33.22 tff(29258,plain,
% 50.14/33.22 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0) | v144(constB145))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB145, bitIndex2)) | v144(constB145) | v88(constB145, bitIndex0) | (~v88(constB145, bitIndex1))))),
% 50.14/33.22 inference(monotonicity,[status(thm)],[29257])).
% 50.14/33.22 tff(29259,plain,
% 50.14/33.22 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0) | v144(constB145))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB145, bitIndex2)) | v144(constB145) | v88(constB145, bitIndex0) | (~v88(constB145, bitIndex1)))),
% 50.14/33.22 inference(transitivity,[status(thm)],[29258, 29256])).
% 50.14/33.22 tff(29260,plain,
% 50.14/33.22 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB145, bitIndex2)) | (~v88(constB145, bitIndex1)) | v88(constB145, bitIndex0) | v144(constB145))),
% 50.14/33.22 inference(quant_inst,[status(thm)],[])).
% 50.14/33.22 tff(29261,plain,
% 50.14/33.22 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB145, bitIndex2)) | v144(constB145) | v88(constB145, bitIndex0) | (~v88(constB145, bitIndex1))),
% 50.14/33.22 inference(modus_ponens,[status(thm)],[29260, 29259])).
% 50.14/33.22 tff(29262,plain,
% 50.14/33.22 (v144(constB145)),
% 50.14/33.22 inference(unit_resolution,[status(thm)],[29261, 25122, 29255, 29251, 29247])).
% 50.14/33.22 tff(29263,plain,
% 50.14/33.22 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB145) | (~v144(constB145)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB145) | (~v144(constB145)))),
% 50.14/33.22 inference(rewrite,[status(thm)],[])).
% 50.14/33.22 tff(29264,plain,
% 50.14/33.22 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB145) | (~v144(constB145)))),
% 50.14/33.22 inference(quant_inst,[status(thm)],[])).
% 50.14/33.22 tff(29265,plain,
% 50.14/33.22 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB145) | (~v144(constB145))),
% 50.14/33.22 inference(modus_ponens,[status(thm)],[29264, 29263])).
% 50.14/33.22 tff(29266,plain,
% 50.14/33.22 (v142(constB145)),
% 50.14/33.22 inference(unit_resolution,[status(thm)],[29265, 25139, 29262])).
% 50.14/33.22 tff(29267,plain,
% 50.14/33.22 (((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB145) | (~v142(constB145)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB145) | (~v142(constB145)))),
% 50.14/33.22 inference(rewrite,[status(thm)],[])).
% 50.14/33.22 tff(29268,plain,
% 50.14/33.22 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB145) | (~v142(constB145)))),
% 50.14/33.22 inference(quant_inst,[status(thm)],[])).
% 50.14/33.22 tff(29269,plain,
% 50.14/33.22 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB145) | (~v142(constB145))),
% 50.14/33.22 inference(modus_ponens,[status(thm)],[29268, 29267])).
% 50.14/33.22 tff(29270,plain,
% 50.14/33.22 (v198(constB145)),
% 50.14/33.22 inference(unit_resolution,[status(thm)],[29269, 10548, 29266])).
% 50.14/33.22 tff(29271,plain,
% 50.14/33.22 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB145)) | (~v201(constB145)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB145)) | (~v201(constB145)))),
% 50.14/33.22 inference(rewrite,[status(thm)],[])).
% 50.14/33.22 tff(29272,plain,
% 50.14/33.22 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB145)) | (~v201(constB145)))),
% 50.14/33.22 inference(quant_inst,[status(thm)],[])).
% 50.14/33.22 tff(29273,plain,
% 50.14/33.22 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB145)) | (~v201(constB145))),
% 50.14/33.22 inference(modus_ponens,[status(thm)],[29272, 29271])).
% 50.14/33.22 tff(29274,plain,
% 50.14/33.22 (~v201(constB145)),
% 50.14/33.22 inference(unit_resolution,[status(thm)],[29273, 8823, 29270])).
% 50.14/33.22 tff(29275,plain,
% 50.14/33.22 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB145) | (~v198(constB145)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB145) | (~v198(constB145)))),
% 50.14/33.22 inference(rewrite,[status(thm)],[])).
% 50.14/33.22 tff(29276,plain,
% 50.14/33.22 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB145) | (~v198(constB145)))),
% 50.14/33.22 inference(quant_inst,[status(thm)],[])).
% 50.14/33.22 tff(29277,plain,
% 50.14/33.22 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB145) | (~v198(constB145))),
% 50.14/33.22 inference(modus_ponens,[status(thm)],[29276, 29275])).
% 50.14/33.22 tff(29278,plain,
% 50.14/33.22 (v197(constB145)),
% 50.14/33.22 inference(unit_resolution,[status(thm)],[29277, 8834, 29270])).
% 50.14/33.22 tff(29279,plain,
% 50.14/33.22 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB145) | (~v197(constB145)) | v201(constB145))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB145) | (~v197(constB145)) | v201(constB145))),
% 50.14/33.22 inference(rewrite,[status(thm)],[])).
% 50.14/33.22 tff(29280,plain,
% 50.14/33.22 (((~v197(constB145)) | v201(constB145) | v227(constB145)) <=> (v227(constB145) | (~v197(constB145)) | v201(constB145))),
% 50.14/33.22 inference(rewrite,[status(thm)],[])).
% 50.14/33.22 tff(29281,plain,
% 50.14/33.22 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB145)) | v201(constB145) | v227(constB145))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB145) | (~v197(constB145)) | v201(constB145)))),
% 50.14/33.22 inference(monotonicity,[status(thm)],[29280])).
% 50.14/33.22 tff(29282,plain,
% 50.14/33.22 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB145)) | v201(constB145) | v227(constB145))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB145) | (~v197(constB145)) | v201(constB145))),
% 50.14/33.22 inference(transitivity,[status(thm)],[29281, 29279])).
% 50.14/33.22 tff(29283,plain,
% 50.14/33.22 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB145)) | v201(constB145) | v227(constB145))),
% 50.14/33.22 inference(quant_inst,[status(thm)],[])).
% 50.14/33.22 tff(29284,plain,
% 50.14/33.22 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB145) | (~v197(constB145)) | v201(constB145)),
% 50.14/33.22 inference(modus_ponens,[status(thm)],[29283, 29282])).
% 50.14/33.22 tff(29285,plain,
% 50.14/33.22 (v227(constB145)),
% 50.14/33.22 inference(unit_resolution,[status(thm)],[29284, 8848, 29278, 29274])).
% 50.14/33.22 tff(29286,plain,
% 50.14/33.22 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB145)) | (~v223(constB145, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB145)) | (~v223(constB145, bitIndex0)))),
% 50.14/33.22 inference(rewrite,[status(thm)],[])).
% 50.14/33.22 tff(29287,plain,
% 50.14/33.22 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB145)) | (~v223(constB145, bitIndex0)))),
% 50.14/33.22 inference(quant_inst,[status(thm)],[])).
% 50.14/33.22 tff(29288,plain,
% 50.14/33.22 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB145)) | (~v223(constB145, bitIndex0))),
% 50.14/33.22 inference(modus_ponens,[status(thm)],[29287, 29286])).
% 50.14/33.22 tff(29289,plain,
% 50.14/33.22 (~v223(constB145, bitIndex0)),
% 50.14/33.22 inference(unit_resolution,[status(thm)],[29288, 8862, 29285])).
% 50.14/33.22 tff(29290,plain,
% 50.14/33.22 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB145, bitIndex0) | (~v222(constB145)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | v223(constB145, bitIndex0) | (~v222(constB145)))),
% 50.14/33.22 inference(rewrite,[status(thm)],[])).
% 50.14/33.22 tff(29291,plain,
% 50.14/33.22 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB145, bitIndex0) | (~v222(constB145)))),
% 50.14/33.22 inference(quant_inst,[status(thm)],[])).
% 50.14/33.22 tff(29292,plain,
% 50.14/33.22 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | v223(constB145, bitIndex0) | (~v222(constB145))),
% 50.14/33.22 inference(modus_ponens,[status(thm)],[29291, 29290])).
% 50.14/33.22 tff(29293,plain,
% 50.14/33.22 (~v222(constB145)),
% 50.14/33.22 inference(unit_resolution,[status(thm)],[29292, 10578, 29289])).
% 50.14/33.22 tff(29294,plain,
% 50.14/33.22 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v139(constB145)) | (~v88(constB145, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB145)) | (~v88(constB145, bitIndex1)))),
% 50.14/33.22 inference(rewrite,[status(thm)],[])).
% 50.14/33.22 tff(29295,plain,
% 50.14/33.22 (((~v88(constB145, bitIndex1)) | (~v139(constB145))) <=> ((~v139(constB145)) | (~v88(constB145, bitIndex1)))),
% 50.14/33.22 inference(rewrite,[status(thm)],[])).
% 50.14/33.22 tff(29296,plain,
% 50.14/33.22 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB145, bitIndex1)) | (~v139(constB145)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v139(constB145)) | (~v88(constB145, bitIndex1))))),
% 50.14/33.22 inference(monotonicity,[status(thm)],[29295])).
% 50.14/33.22 tff(29297,plain,
% 50.14/33.22 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB145, bitIndex1)) | (~v139(constB145)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB145)) | (~v88(constB145, bitIndex1)))),
% 50.14/33.22 inference(transitivity,[status(thm)],[29296, 29294])).
% 50.14/33.22 tff(29298,plain,
% 50.14/33.22 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB145, bitIndex1)) | (~v139(constB145)))),
% 50.14/33.22 inference(quant_inst,[status(thm)],[])).
% 50.14/33.22 tff(29299,plain,
% 50.14/33.22 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB145)) | (~v88(constB145, bitIndex1))),
% 50.14/33.22 inference(modus_ponens,[status(thm)],[29298, 29297])).
% 50.14/33.22 tff(29300,plain,
% 50.14/33.22 (~v139(constB145)),
% 50.14/33.22 inference(unit_resolution,[status(thm)],[29299, 10589, 29255])).
% 50.14/33.22 tff(29301,plain,
% 50.14/33.22 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v140(constB145)) | (~v88(constB145, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v140(constB145)) | (~v88(constB145, bitIndex1)))),
% 50.14/33.22 inference(rewrite,[status(thm)],[])).
% 50.14/33.22 tff(29302,plain,
% 50.14/33.22 (((~v88(constB145, bitIndex1)) | (~v140(constB145))) <=> ((~v140(constB145)) | (~v88(constB145, bitIndex1)))),
% 50.14/33.22 inference(rewrite,[status(thm)],[])).
% 50.14/33.22 tff(29303,plain,
% 50.14/33.22 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB145, bitIndex1)) | (~v140(constB145)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v140(constB145)) | (~v88(constB145, bitIndex1))))),
% 50.14/33.22 inference(monotonicity,[status(thm)],[29302])).
% 50.14/33.22 tff(29304,plain,
% 50.14/33.22 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB145, bitIndex1)) | (~v140(constB145)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v140(constB145)) | (~v88(constB145, bitIndex1)))),
% 50.14/33.22 inference(transitivity,[status(thm)],[29303, 29301])).
% 50.14/33.22 tff(29305,plain,
% 50.14/33.22 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB145, bitIndex1)) | (~v140(constB145)))),
% 50.14/33.22 inference(quant_inst,[status(thm)],[])).
% 50.14/33.22 tff(29306,plain,
% 50.14/33.22 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v140(constB145)) | (~v88(constB145, bitIndex1))),
% 50.14/33.22 inference(modus_ponens,[status(thm)],[29305, 29304])).
% 50.14/33.22 tff(29307,plain,
% 50.14/33.22 (~v140(constB145)),
% 50.14/33.22 inference(unit_resolution,[status(thm)],[29306, 9002, 29255])).
% 50.14/33.22 tff(29308,plain,
% 50.14/33.22 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v139(constB145) | v140(constB145) | (~v200(constB145)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v139(constB145) | v140(constB145) | (~v200(constB145)))),
% 50.14/33.22 inference(rewrite,[status(thm)],[])).
% 50.14/33.22 tff(29309,plain,
% 50.14/33.22 ((v140(constB145) | v139(constB145) | (~v200(constB145))) <=> (v139(constB145) | v140(constB145) | (~v200(constB145)))),
% 50.14/33.22 inference(rewrite,[status(thm)],[])).
% 50.14/33.22 tff(29310,plain,
% 50.14/33.22 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB145) | v139(constB145) | (~v200(constB145)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v139(constB145) | v140(constB145) | (~v200(constB145))))),
% 50.14/33.22 inference(monotonicity,[status(thm)],[29309])).
% 50.14/33.22 tff(29311,plain,
% 50.14/33.22 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB145) | v139(constB145) | (~v200(constB145)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v139(constB145) | v140(constB145) | (~v200(constB145)))),
% 50.14/33.22 inference(transitivity,[status(thm)],[29310, 29308])).
% 50.14/33.22 tff(29312,plain,
% 50.14/33.22 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB145) | v139(constB145) | (~v200(constB145)))),
% 50.14/33.22 inference(quant_inst,[status(thm)],[])).
% 50.14/33.22 tff(29313,plain,
% 50.14/33.22 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v139(constB145) | v140(constB145) | (~v200(constB145))),
% 50.14/33.22 inference(modus_ponens,[status(thm)],[29312, 29311])).
% 50.14/33.22 tff(29314,plain,
% 50.14/33.22 (~v200(constB145)),
% 50.14/33.22 inference(unit_resolution,[status(thm)],[29313, 10610, 29307, 29300])).
% 50.14/33.22 tff(29315,plain,
% 50.14/33.22 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB145, bitIndex2)) | (~v141(constB145)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB145, bitIndex2)) | (~v141(constB145)))),
% 50.14/33.22 inference(rewrite,[status(thm)],[])).
% 50.14/33.22 tff(29316,plain,
% 50.14/33.22 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB145, bitIndex2)) | (~v141(constB145)))),
% 50.14/33.22 inference(quant_inst,[status(thm)],[])).
% 50.14/33.22 tff(29317,plain,
% 50.14/33.22 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB145, bitIndex2)) | (~v141(constB145))),
% 50.14/33.22 inference(modus_ponens,[status(thm)],[29316, 29315])).
% 50.14/33.22 tff(29318,plain,
% 50.14/33.22 (~v141(constB145)),
% 50.14/33.22 inference(unit_resolution,[status(thm)],[29317, 25200, 29251])).
% 50.14/33.22 tff(29319,plain,
% 50.14/33.22 (((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB145) | v200(constB145) | (~v166(constB145)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB145) | v200(constB145) | (~v166(constB145)))),
% 50.14/33.22 inference(rewrite,[status(thm)],[])).
% 50.14/33.22 tff(29320,plain,
% 50.14/33.22 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB145) | v200(constB145) | (~v166(constB145)))),
% 50.14/33.22 inference(quant_inst,[status(thm)],[])).
% 50.14/33.22 tff(29321,plain,
% 50.14/33.22 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB145) | v200(constB145) | (~v166(constB145))),
% 50.14/33.22 inference(modus_ponens,[status(thm)],[29320, 29319])).
% 50.14/33.22 tff(29322,plain,
% 50.14/33.22 (~v166(constB145)),
% 50.14/33.22 inference(unit_resolution,[status(thm)],[29321, 10638, 29318, 29314])).
% 50.14/33.22 tff(29323,plain,
% 50.14/33.22 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB145) | (~v197(constB145)) | v166(constB145))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB145) | (~v197(constB145)) | v166(constB145))),
% 50.14/33.22 inference(rewrite,[status(thm)],[])).
% 50.14/33.22 tff(29324,plain,
% 50.14/33.22 (((~v197(constB145)) | v166(constB145) | v241(constB145)) <=> (v241(constB145) | (~v197(constB145)) | v166(constB145))),
% 50.14/33.22 inference(rewrite,[status(thm)],[])).
% 50.14/33.22 tff(29325,plain,
% 50.14/33.22 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB145)) | v166(constB145) | v241(constB145))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB145) | (~v197(constB145)) | v166(constB145)))),
% 50.14/33.22 inference(monotonicity,[status(thm)],[29324])).
% 50.14/33.22 tff(29326,plain,
% 50.14/33.22 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB145)) | v166(constB145) | v241(constB145))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB145) | (~v197(constB145)) | v166(constB145))),
% 50.14/33.22 inference(transitivity,[status(thm)],[29325, 29323])).
% 50.14/33.22 tff(29327,plain,
% 50.14/33.22 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB145)) | v166(constB145) | v241(constB145))),
% 50.14/33.22 inference(quant_inst,[status(thm)],[])).
% 50.14/33.22 tff(29328,plain,
% 50.14/33.22 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB145) | (~v197(constB145)) | v166(constB145)),
% 50.14/33.22 inference(modus_ponens,[status(thm)],[29327, 29326])).
% 50.14/33.22 tff(29329,plain,
% 50.14/33.22 (v241(constB145) | (~v197(constB145))),
% 50.14/33.22 inference(unit_resolution,[status(thm)],[29328, 10277, 29322])).
% 50.14/33.22 tff(29330,plain,
% 50.14/33.22 (v241(constB145)),
% 50.14/33.22 inference(unit_resolution,[status(thm)],[29329, 29278])).
% 50.14/33.22 tff(29331,plain,
% 50.14/33.22 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB145)) | (~v223(constB145, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB145)) | (~v223(constB145, bitIndex2)))),
% 50.14/33.22 inference(rewrite,[status(thm)],[])).
% 50.14/33.22 tff(29332,plain,
% 50.14/33.22 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB145)) | (~v223(constB145, bitIndex2)))),
% 50.14/33.22 inference(quant_inst,[status(thm)],[])).
% 50.14/33.22 tff(29333,plain,
% 50.14/33.22 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB145)) | (~v223(constB145, bitIndex2))),
% 50.14/33.22 inference(modus_ponens,[status(thm)],[29332, 29331])).
% 50.14/33.22 tff(29334,plain,
% 50.14/33.22 (~v223(constB145, bitIndex2)),
% 50.14/33.22 inference(unit_resolution,[status(thm)],[29333, 10292, 29330])).
% 50.14/33.22 tff(29335,plain,
% 50.14/33.22 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB145)) | v223(constB145, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB145)) | v223(constB145, bitIndex2))),
% 50.14/33.22 inference(rewrite,[status(thm)],[])).
% 50.14/33.22 tff(29336,plain,
% 50.14/33.22 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB145)) | v223(constB145, bitIndex2))),
% 50.14/33.22 inference(quant_inst,[status(thm)],[])).
% 50.14/33.22 tff(29337,plain,
% 50.14/33.22 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB145)) | v223(constB145, bitIndex2)),
% 50.14/33.22 inference(modus_ponens,[status(thm)],[29336, 29335])).
% 50.14/33.22 tff(29338,plain,
% 50.14/33.22 (~v224(constB145)),
% 50.14/33.22 inference(unit_resolution,[status(thm)],[29337, 10343, 29334])).
% 50.14/33.22 tff(29339,plain,
% 50.14/33.22 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB145) | v224(constB145) | (~v236(constB145)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB145) | v224(constB145) | (~v236(constB145)))),
% 50.14/33.22 inference(rewrite,[status(thm)],[])).
% 50.14/33.22 tff(29340,plain,
% 50.14/33.22 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB145) | v224(constB145) | (~v236(constB145)))),
% 50.14/33.22 inference(quant_inst,[status(thm)],[])).
% 50.14/33.22 tff(29341,plain,
% 50.14/33.22 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB145) | v224(constB145) | (~v236(constB145))),
% 50.14/33.22 inference(modus_ponens,[status(thm)],[29340, 29339])).
% 50.14/33.22 tff(29342,plain,
% 50.14/33.22 (~v236(constB145)),
% 50.14/33.22 inference(unit_resolution,[status(thm)],[29341, 8968, 29338, 29293])).
% 50.14/33.22 tff(29343,plain,
% 50.14/33.22 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB145) | (~v232(constB145)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB145) | (~v232(constB145)))),
% 50.14/33.22 inference(rewrite,[status(thm)],[])).
% 50.14/33.22 tff(29344,plain,
% 50.14/33.22 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB145) | (~v232(constB145)))),
% 50.14/33.22 inference(quant_inst,[status(thm)],[])).
% 50.14/33.22 tff(29345,plain,
% 50.14/33.22 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB145) | (~v232(constB145))),
% 50.14/33.22 inference(modus_ponens,[status(thm)],[29344, 29343])).
% 50.14/33.22 tff(29346,plain,
% 50.14/33.22 (~v232(constB145)),
% 50.14/33.22 inference(unit_resolution,[status(thm)],[29345, 8980, 29342])).
% 50.14/33.22 tff(29347,plain,
% 50.14/33.22 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v139(constB145) | v140(constB145) | (~v148(constB145)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v139(constB145) | v140(constB145) | (~v148(constB145)))),
% 50.14/33.22 inference(rewrite,[status(thm)],[])).
% 50.14/33.22 tff(29348,plain,
% 50.14/33.22 ((v140(constB145) | v139(constB145) | (~v148(constB145))) <=> (v139(constB145) | v140(constB145) | (~v148(constB145)))),
% 50.14/33.22 inference(rewrite,[status(thm)],[])).
% 50.14/33.22 tff(29349,plain,
% 50.14/33.22 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB145) | v139(constB145) | (~v148(constB145)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v139(constB145) | v140(constB145) | (~v148(constB145))))),
% 50.14/33.22 inference(monotonicity,[status(thm)],[29348])).
% 50.14/33.22 tff(29350,plain,
% 50.14/33.22 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB145) | v139(constB145) | (~v148(constB145)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v139(constB145) | v140(constB145) | (~v148(constB145)))),
% 50.14/33.22 inference(transitivity,[status(thm)],[29349, 29347])).
% 50.14/33.22 tff(29351,plain,
% 50.14/33.22 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB145) | v139(constB145) | (~v148(constB145)))),
% 50.14/33.22 inference(quant_inst,[status(thm)],[])).
% 50.14/33.22 tff(29352,plain,
% 50.14/33.22 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v139(constB145) | v140(constB145) | (~v148(constB145))),
% 50.14/33.22 inference(modus_ponens,[status(thm)],[29351, 29350])).
% 50.14/33.22 tff(29353,plain,
% 50.14/33.22 (~v148(constB145)),
% 50.14/33.22 inference(unit_resolution,[status(thm)],[29352, 9016, 29307, 29300])).
% 50.14/33.22 tff(29354,plain,
% 50.14/33.22 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB145) | (~v197(constB145)) | v148(constB145))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB145) | (~v197(constB145)) | v148(constB145))),
% 50.14/33.22 inference(rewrite,[status(thm)],[])).
% 50.14/33.22 tff(29355,plain,
% 50.14/33.22 ((v148(constB145) | (~v197(constB145)) | v252(constB145)) <=> (v252(constB145) | (~v197(constB145)) | v148(constB145))),
% 50.14/33.22 inference(rewrite,[status(thm)],[])).
% 50.14/33.22 tff(29356,plain,
% 50.14/33.22 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB145) | (~v197(constB145)) | v252(constB145))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB145) | (~v197(constB145)) | v148(constB145)))),
% 50.14/33.22 inference(monotonicity,[status(thm)],[29355])).
% 50.14/33.22 tff(29357,plain,
% 50.14/33.22 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB145) | (~v197(constB145)) | v252(constB145))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB145) | (~v197(constB145)) | v148(constB145))),
% 50.14/33.22 inference(transitivity,[status(thm)],[29356, 29354])).
% 50.14/33.22 tff(29358,plain,
% 50.14/33.22 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB145) | (~v197(constB145)) | v252(constB145))),
% 50.14/33.22 inference(quant_inst,[status(thm)],[])).
% 50.14/33.22 tff(29359,plain,
% 50.14/33.22 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB145) | (~v197(constB145)) | v148(constB145)),
% 50.14/33.22 inference(modus_ponens,[status(thm)],[29358, 29357])).
% 50.14/33.22 tff(29360,plain,
% 50.14/33.22 (v252(constB145) | (~v197(constB145))),
% 50.14/33.22 inference(unit_resolution,[status(thm)],[29359, 9033, 29353])).
% 50.14/33.22 tff(29361,plain,
% 50.14/33.22 (v252(constB145)),
% 50.14/33.22 inference(unit_resolution,[status(thm)],[29360, 29278])).
% 50.14/33.22 tff(29362,plain,
% 50.14/33.22 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB145)) | (~v223(constB145, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB145)) | (~v223(constB145, bitIndex3)))),
% 50.14/33.22 inference(rewrite,[status(thm)],[])).
% 50.14/33.22 tff(29363,plain,
% 50.14/33.22 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB145)) | (~v223(constB145, bitIndex3)))),
% 50.14/33.22 inference(quant_inst,[status(thm)],[])).
% 50.14/33.22 tff(29364,plain,
% 50.14/33.22 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB145)) | (~v223(constB145, bitIndex3))),
% 50.14/33.22 inference(modus_ponens,[status(thm)],[29363, 29362])).
% 50.14/33.22 tff(29365,plain,
% 50.14/33.22 (~v223(constB145, bitIndex3)),
% 50.14/33.22 inference(unit_resolution,[status(thm)],[29364, 9048, 29361])).
% 50.14/33.22 tff(29366,plain,
% 50.14/33.22 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB145)) | v223(constB145, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB145)) | v223(constB145, bitIndex3))),
% 50.14/33.22 inference(rewrite,[status(thm)],[])).
% 50.14/33.22 tff(29367,plain,
% 50.14/33.22 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB145)) | v223(constB145, bitIndex3))),
% 50.14/33.22 inference(quant_inst,[status(thm)],[])).
% 50.14/33.22 tff(29368,plain,
% 50.14/33.22 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB145)) | v223(constB145, bitIndex3)),
% 50.14/33.22 inference(modus_ponens,[status(thm)],[29367, 29366])).
% 50.14/33.22 tff(29369,plain,
% 50.14/33.22 (~v237(constB145)),
% 50.14/33.22 inference(unit_resolution,[status(thm)],[29368, 9062, 29365])).
% 50.14/33.22 tff(29370,plain,
% 50.14/33.22 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB145) | (~v248(constB145)) | v232(constB145))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB145) | (~v248(constB145)) | v232(constB145))),
% 50.14/33.22 inference(rewrite,[status(thm)],[])).
% 50.14/33.22 tff(29371,plain,
% 50.14/33.22 ((v237(constB145) | v232(constB145) | (~v248(constB145))) <=> (v237(constB145) | (~v248(constB145)) | v232(constB145))),
% 50.14/33.22 inference(rewrite,[status(thm)],[])).
% 50.14/33.22 tff(29372,plain,
% 50.14/33.22 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB145) | v232(constB145) | (~v248(constB145)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB145) | (~v248(constB145)) | v232(constB145)))),
% 50.14/33.22 inference(monotonicity,[status(thm)],[29371])).
% 50.14/33.22 tff(29373,plain,
% 50.14/33.22 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB145) | v232(constB145) | (~v248(constB145)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB145) | (~v248(constB145)) | v232(constB145))),
% 50.14/33.22 inference(transitivity,[status(thm)],[29372, 29370])).
% 50.14/33.22 tff(29374,plain,
% 50.14/33.22 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB145) | v232(constB145) | (~v248(constB145)))),
% 50.14/33.22 inference(quant_inst,[status(thm)],[])).
% 50.14/33.22 tff(29375,plain,
% 50.14/33.22 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB145) | (~v248(constB145)) | v232(constB145)),
% 50.14/33.22 inference(modus_ponens,[status(thm)],[29374, 29373])).
% 50.14/33.22 tff(29376,plain,
% 50.14/33.22 ((~v248(constB145)) | v232(constB145)),
% 50.14/33.22 inference(unit_resolution,[status(thm)],[29375, 9076, 29369])).
% 50.14/33.22 tff(29377,plain,
% 50.14/33.22 (~v248(constB145)),
% 50.14/33.22 inference(unit_resolution,[status(thm)],[29376, 29346])).
% 50.14/33.22 tff(29378,plain,
% 50.14/33.22 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB145) | (~v244(constB145)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB145) | (~v244(constB145)))),
% 50.14/33.22 inference(rewrite,[status(thm)],[])).
% 50.14/33.22 tff(29379,plain,
% 50.14/33.22 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB145) | (~v244(constB145)))),
% 50.14/33.22 inference(quant_inst,[status(thm)],[])).
% 50.14/33.22 tff(29380,plain,
% 50.14/33.22 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB145) | (~v244(constB145))),
% 50.14/33.22 inference(modus_ponens,[status(thm)],[29379, 29378])).
% 50.14/33.22 tff(29381,plain,
% 50.14/33.22 (~v244(constB145)),
% 50.14/33.22 inference(unit_resolution,[status(thm)],[29380, 11335, 29377])).
% 50.14/33.22 tff(29382,plain,
% 50.14/33.22 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB145) | (~v216(constB145, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB145) | (~v216(constB145, bitIndex1)))),
% 50.14/33.22 inference(rewrite,[status(thm)],[])).
% 50.14/33.22 tff(29383,plain,
% 50.14/33.22 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB145) | (~v216(constB145, bitIndex1)))),
% 50.14/33.22 inference(quant_inst,[status(thm)],[])).
% 50.14/33.22 tff(29384,plain,
% 50.14/33.22 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB145) | (~v216(constB145, bitIndex1))),
% 50.14/33.22 inference(modus_ponens,[status(thm)],[29383, 29382])).
% 50.14/33.22 tff(29385,plain,
% 50.14/33.22 (~v216(constB145, bitIndex1)),
% 50.14/33.22 inference(unit_resolution,[status(thm)],[29384, 11346, 29381])).
% 50.14/33.22 tff(29386,plain,
% 50.14/33.22 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB145, bitIndex1) | (~v254(constB145)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB145, bitIndex1) | (~v254(constB145)))),
% 50.14/33.22 inference(rewrite,[status(thm)],[])).
% 50.14/33.22 tff(29387,plain,
% 50.14/33.22 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB145, bitIndex1) | (~v254(constB145)))),
% 50.14/33.22 inference(quant_inst,[status(thm)],[])).
% 50.14/33.22 tff(29388,plain,
% 50.14/33.22 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB145, bitIndex1) | (~v254(constB145))),
% 50.14/33.22 inference(modus_ponens,[status(thm)],[29387, 29386])).
% 50.14/33.22 tff(29389,plain,
% 50.14/33.22 (~v254(constB145)),
% 50.14/33.22 inference(unit_resolution,[status(thm)],[29388, 11357, 29385])).
% 50.14/33.22 tff(29390,plain,
% 50.14/33.22 (((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB145) | (~v221(constB145)))) <=> ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB145) | (~v221(constB145)))),
% 50.14/33.22 inference(rewrite,[status(thm)],[])).
% 50.14/33.22 tff(29391,plain,
% 50.14/33.22 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB145) | (~v221(constB145)))),
% 50.14/33.22 inference(quant_inst,[status(thm)],[])).
% 50.14/33.22 tff(29392,plain,
% 50.14/33.22 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB145) | (~v221(constB145))),
% 50.14/33.22 inference(modus_ponens,[status(thm)],[29391, 29390])).
% 50.14/33.22 tff(29393,plain,
% 50.14/33.22 (~v221(constB145)),
% 50.14/33.22 inference(unit_resolution,[status(thm)],[29392, 11505, 29338])).
% 50.14/33.22 tff(29394,plain,
% 50.14/33.22 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB145) | (~v231(constB145)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB145) | (~v231(constB145)))),
% 50.14/33.22 inference(rewrite,[status(thm)],[])).
% 50.14/33.22 tff(29395,plain,
% 50.14/33.22 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB145) | (~v231(constB145)))),
% 50.14/33.22 inference(quant_inst,[status(thm)],[])).
% 50.14/33.22 tff(29396,plain,
% 50.14/33.22 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB145) | (~v231(constB145))),
% 50.14/33.22 inference(modus_ponens,[status(thm)],[29395, 29394])).
% 50.14/33.22 tff(29397,plain,
% 50.14/33.22 (~v231(constB145)),
% 50.14/33.22 inference(unit_resolution,[status(thm)],[29396, 11162, 29369])).
% 50.14/33.22 tff(29398,plain,
% 50.14/33.22 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB145) | v231(constB145) | (~v243(constB145)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB145) | v231(constB145) | (~v243(constB145)))),
% 50.14/33.22 inference(rewrite,[status(thm)],[])).
% 50.14/33.22 tff(29399,plain,
% 50.14/33.22 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB145) | v231(constB145) | (~v243(constB145)))),
% 50.14/33.22 inference(quant_inst,[status(thm)],[])).
% 50.14/33.23 tff(29400,plain,
% 50.14/33.23 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB145) | v231(constB145) | (~v243(constB145))),
% 50.14/33.23 inference(modus_ponens,[status(thm)],[29399, 29398])).
% 50.14/33.23 tff(29401,plain,
% 50.14/33.23 (~v243(constB145)),
% 50.14/33.23 inference(unit_resolution,[status(thm)],[29400, 11206, 29397, 29393])).
% 50.14/33.23 tff(29402,plain,
% 50.14/33.23 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB145) | v255(constB145))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB145) | v255(constB145))),
% 50.14/33.23 inference(rewrite,[status(thm)],[])).
% 50.14/33.23 tff(29403,plain,
% 50.14/33.23 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB145) | v255(constB145))),
% 50.14/33.23 inference(quant_inst,[status(thm)],[])).
% 50.14/33.23 tff(29404,plain,
% 50.14/33.23 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB145) | v255(constB145)),
% 50.14/33.23 inference(modus_ponens,[status(thm)],[29403, 29402])).
% 50.14/33.23 tff(29405,plain,
% 50.14/33.23 (v255(constB145)),
% 50.14/33.23 inference(unit_resolution,[status(thm)],[29404, 11222, 29401])).
% 50.14/33.23 tff(29406,plain,
% 50.14/33.23 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB145)) | (~v216(constB145, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB145)) | (~v216(constB145, bitIndex2)))),
% 50.14/33.23 inference(rewrite,[status(thm)],[])).
% 50.14/33.23 tff(29407,plain,
% 50.14/33.23 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB145)) | (~v216(constB145, bitIndex2)))),
% 50.14/33.23 inference(quant_inst,[status(thm)],[])).
% 50.14/33.23 tff(29408,plain,
% 50.14/33.23 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB145)) | (~v216(constB145, bitIndex2))),
% 50.14/33.23 inference(modus_ponens,[status(thm)],[29407, 29406])).
% 50.14/33.23 tff(29409,plain,
% 50.14/33.23 (~v216(constB145, bitIndex2)),
% 50.14/33.23 inference(unit_resolution,[status(thm)],[29408, 11237, 29405])).
% 50.14/33.23 tff(29410,plain,
% 50.14/33.23 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB145, bitIndex2) | v254(constB145) | (~v215(constB145)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB145, bitIndex2) | v254(constB145) | (~v215(constB145)))),
% 50.14/33.23 inference(rewrite,[status(thm)],[])).
% 50.14/33.23 tff(29411,plain,
% 50.14/33.23 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB145, bitIndex2) | v254(constB145) | (~v215(constB145)))),
% 50.14/33.23 inference(quant_inst,[status(thm)],[])).
% 50.14/33.23 tff(29412,plain,
% 50.14/33.23 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB145, bitIndex2) | v254(constB145) | (~v215(constB145))),
% 50.14/33.23 inference(modus_ponens,[status(thm)],[29411, 29410])).
% 50.14/33.23 tff(29413,plain,
% 50.14/33.23 (v254(constB145) | (~v215(constB145))),
% 50.14/33.23 inference(unit_resolution,[status(thm)],[29412, 11278, 29409])).
% 50.14/33.23 tff(29414,plain,
% 50.14/33.23 (~v215(constB145)),
% 50.14/33.23 inference(unit_resolution,[status(thm)],[29413, 29389])).
% 50.14/33.23 tff(29415,plain,
% 50.14/33.23 ($false),
% 50.14/33.23 inference(unit_resolution,[status(thm)],[29414, 29243])).
% 50.14/33.23 tff(29416,plain,(~(constB145 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.14/33.23 tff(29417,assumption,(constB185 = sK0_VarCurr), introduced(assumption)).
% 50.14/33.23 tff(29418,plain,
% 50.14/33.23 (v215(constB185) <=> v215(sK0_VarCurr)),
% 50.14/33.23 inference(monotonicity,[status(thm)],[29417])).
% 50.14/33.23 tff(29419,plain,
% 50.14/33.23 (v215(sK0_VarCurr) <=> v215(constB185)),
% 50.14/33.23 inference(symmetry,[status(thm)],[29418])).
% 50.14/33.23 tff(29420,plain,
% 50.14/33.23 (v215(constB185)),
% 50.14/33.23 inference(modus_ponens,[status(thm)],[11268, 29419])).
% 50.14/33.23 tff(29421,plain,
% 50.14/33.23 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB185, bitIndex1)) | v88(constB185, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB185, bitIndex1)) | v88(constB185, bitIndex1))),
% 50.14/33.23 inference(rewrite,[status(thm)],[])).
% 50.14/33.23 tff(29422,plain,
% 50.14/33.23 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB185, bitIndex1)) | v88(constB185, bitIndex1))),
% 50.14/33.23 inference(quant_inst,[status(thm)],[])).
% 50.14/33.23 tff(29423,plain,
% 50.14/33.23 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB185, bitIndex1)) | v88(constB185, bitIndex1)),
% 50.14/33.23 inference(modus_ponens,[status(thm)],[29422, 29421])).
% 50.14/33.23 tff(29424,plain,
% 50.14/33.23 (v88(constB185, bitIndex1)),
% 50.14/33.23 inference(unit_resolution,[status(thm)],[29423, 8707, 24079])).
% 50.14/33.23 tff(29425,plain,
% 50.14/33.23 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB185, bitIndex2)) | v88(constB185, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB185, bitIndex2)) | v88(constB185, bitIndex2))),
% 50.14/33.23 inference(rewrite,[status(thm)],[])).
% 50.14/33.23 tff(29426,plain,
% 50.14/33.23 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB185, bitIndex2)) | v88(constB185, bitIndex2))),
% 50.14/33.23 inference(quant_inst,[status(thm)],[])).
% 50.14/33.23 tff(29427,plain,
% 50.14/33.23 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB185, bitIndex2)) | v88(constB185, bitIndex2)),
% 50.14/33.23 inference(modus_ponens,[status(thm)],[29426, 29425])).
% 50.14/33.23 tff(29428,plain,
% 50.14/33.23 (v88(constB185, bitIndex2)),
% 50.14/33.23 inference(unit_resolution,[status(thm)],[29427, 25107, 24110])).
% 50.14/33.23 tff(29429,plain,
% 50.14/33.23 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB185, bitIndex0) | (~v88(constB185, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB185, bitIndex0) | (~v88(constB185, bitIndex0)))),
% 50.14/33.23 inference(rewrite,[status(thm)],[])).
% 50.14/33.23 tff(29430,plain,
% 50.14/33.23 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB185, bitIndex0) | (~v88(constB185, bitIndex0)))),
% 50.14/33.23 inference(quant_inst,[status(thm)],[])).
% 50.14/33.23 tff(29431,plain,
% 50.14/33.23 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB185, bitIndex0) | (~v88(constB185, bitIndex0))),
% 50.14/33.23 inference(modus_ponens,[status(thm)],[29430, 29429])).
% 50.14/33.23 tff(29432,plain,
% 50.14/33.23 (~v88(constB185, bitIndex0)),
% 50.14/33.23 inference(unit_resolution,[status(thm)],[29431, 10505, 24150])).
% 50.14/33.23 tff(29433,plain,
% 50.14/33.23 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB185, bitIndex0) | (~v88(constB185, bitIndex1)) | (~v88(constB185, bitIndex2)) | v144(constB185))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB185, bitIndex0) | (~v88(constB185, bitIndex1)) | (~v88(constB185, bitIndex2)) | v144(constB185))),
% 50.14/33.23 inference(rewrite,[status(thm)],[])).
% 50.14/33.23 tff(29434,plain,
% 50.14/33.23 (((~v88(constB185, bitIndex2)) | (~v88(constB185, bitIndex1)) | v88(constB185, bitIndex0) | v144(constB185)) <=> (v88(constB185, bitIndex0) | (~v88(constB185, bitIndex1)) | (~v88(constB185, bitIndex2)) | v144(constB185))),
% 50.14/33.23 inference(rewrite,[status(thm)],[])).
% 50.14/33.23 tff(29435,plain,
% 50.14/33.23 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB185, bitIndex2)) | (~v88(constB185, bitIndex1)) | v88(constB185, bitIndex0) | v144(constB185))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB185, bitIndex0) | (~v88(constB185, bitIndex1)) | (~v88(constB185, bitIndex2)) | v144(constB185)))),
% 50.14/33.23 inference(monotonicity,[status(thm)],[29434])).
% 50.14/33.23 tff(29436,plain,
% 50.14/33.23 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB185, bitIndex2)) | (~v88(constB185, bitIndex1)) | v88(constB185, bitIndex0) | v144(constB185))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB185, bitIndex0) | (~v88(constB185, bitIndex1)) | (~v88(constB185, bitIndex2)) | v144(constB185))),
% 50.14/33.23 inference(transitivity,[status(thm)],[29435, 29433])).
% 50.14/33.23 tff(29437,plain,
% 50.14/33.23 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB185, bitIndex2)) | (~v88(constB185, bitIndex1)) | v88(constB185, bitIndex0) | v144(constB185))),
% 50.14/33.23 inference(quant_inst,[status(thm)],[])).
% 50.14/33.23 tff(29438,plain,
% 50.14/33.23 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB185, bitIndex0) | (~v88(constB185, bitIndex1)) | (~v88(constB185, bitIndex2)) | v144(constB185)),
% 50.14/33.23 inference(modus_ponens,[status(thm)],[29437, 29436])).
% 50.14/33.23 tff(29439,plain,
% 50.14/33.23 ((~v88(constB185, bitIndex1)) | (~v88(constB185, bitIndex2)) | v144(constB185)),
% 50.14/33.23 inference(unit_resolution,[status(thm)],[29438, 25122, 29432])).
% 50.14/33.23 tff(29440,plain,
% 50.14/33.23 (v144(constB185)),
% 50.14/33.23 inference(unit_resolution,[status(thm)],[29439, 29428, 29424])).
% 50.14/33.23 tff(29441,plain,
% 50.14/33.23 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB185) | (~v144(constB185)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB185) | (~v144(constB185)))),
% 50.14/33.23 inference(rewrite,[status(thm)],[])).
% 50.14/33.23 tff(29442,plain,
% 50.14/33.23 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB185) | (~v144(constB185)))),
% 50.14/33.23 inference(quant_inst,[status(thm)],[])).
% 50.14/33.23 tff(29443,plain,
% 50.14/33.23 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB185) | (~v144(constB185))),
% 50.14/33.23 inference(modus_ponens,[status(thm)],[29442, 29441])).
% 50.14/33.23 tff(29444,plain,
% 50.14/33.23 (v142(constB185)),
% 50.14/33.23 inference(unit_resolution,[status(thm)],[29443, 25139, 29440])).
% 50.14/33.23 tff(29445,plain,
% 50.14/33.23 (((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB185) | (~v142(constB185)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB185) | (~v142(constB185)))),
% 50.14/33.23 inference(rewrite,[status(thm)],[])).
% 50.14/33.23 tff(29446,plain,
% 50.14/33.23 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB185) | (~v142(constB185)))),
% 50.14/33.23 inference(quant_inst,[status(thm)],[])).
% 50.14/33.23 tff(29447,plain,
% 50.14/33.23 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB185) | (~v142(constB185))),
% 50.14/33.23 inference(modus_ponens,[status(thm)],[29446, 29445])).
% 50.14/33.23 tff(29448,plain,
% 50.14/33.23 (v198(constB185)),
% 50.14/33.23 inference(unit_resolution,[status(thm)],[29447, 10548, 29444])).
% 50.14/33.23 tff(29449,plain,
% 50.14/33.23 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB185)) | (~v201(constB185)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB185)) | (~v201(constB185)))),
% 50.14/33.23 inference(rewrite,[status(thm)],[])).
% 50.14/33.23 tff(29450,plain,
% 50.14/33.23 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB185)) | (~v201(constB185)))),
% 50.14/33.23 inference(quant_inst,[status(thm)],[])).
% 50.14/33.23 tff(29451,plain,
% 50.14/33.23 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB185)) | (~v201(constB185))),
% 50.14/33.23 inference(modus_ponens,[status(thm)],[29450, 29449])).
% 50.14/33.23 tff(29452,plain,
% 50.14/33.23 (~v201(constB185)),
% 50.14/33.23 inference(unit_resolution,[status(thm)],[29451, 8823, 29448])).
% 50.14/33.23 tff(29453,plain,
% 50.14/33.23 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB185) | (~v198(constB185)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB185) | (~v198(constB185)))),
% 50.14/33.23 inference(rewrite,[status(thm)],[])).
% 50.14/33.23 tff(29454,plain,
% 50.14/33.23 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB185) | (~v198(constB185)))),
% 50.14/33.23 inference(quant_inst,[status(thm)],[])).
% 50.14/33.23 tff(29455,plain,
% 50.14/33.23 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB185) | (~v198(constB185))),
% 50.14/33.23 inference(modus_ponens,[status(thm)],[29454, 29453])).
% 50.14/33.23 tff(29456,plain,
% 50.14/33.23 (v197(constB185)),
% 50.14/33.23 inference(unit_resolution,[status(thm)],[29455, 8834, 29448])).
% 50.14/33.23 tff(29457,plain,
% 50.14/33.23 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB185) | (~v197(constB185)) | v201(constB185))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB185) | (~v197(constB185)) | v201(constB185))),
% 50.14/33.23 inference(rewrite,[status(thm)],[])).
% 50.14/33.23 tff(29458,plain,
% 50.14/33.23 (((~v197(constB185)) | v201(constB185) | v227(constB185)) <=> (v227(constB185) | (~v197(constB185)) | v201(constB185))),
% 50.14/33.23 inference(rewrite,[status(thm)],[])).
% 50.14/33.23 tff(29459,plain,
% 50.14/33.23 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB185)) | v201(constB185) | v227(constB185))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB185) | (~v197(constB185)) | v201(constB185)))),
% 50.14/33.23 inference(monotonicity,[status(thm)],[29458])).
% 50.14/33.23 tff(29460,plain,
% 50.14/33.23 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB185)) | v201(constB185) | v227(constB185))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB185) | (~v197(constB185)) | v201(constB185))),
% 50.14/33.23 inference(transitivity,[status(thm)],[29459, 29457])).
% 50.14/33.23 tff(29461,plain,
% 50.14/33.23 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB185)) | v201(constB185) | v227(constB185))),
% 50.14/33.23 inference(quant_inst,[status(thm)],[])).
% 50.14/33.23 tff(29462,plain,
% 50.14/33.23 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB185) | (~v197(constB185)) | v201(constB185)),
% 50.14/33.23 inference(modus_ponens,[status(thm)],[29461, 29460])).
% 50.14/33.23 tff(29463,plain,
% 50.14/33.23 (v227(constB185)),
% 50.14/33.23 inference(unit_resolution,[status(thm)],[29462, 8848, 29456, 29452])).
% 50.14/33.23 tff(29464,plain,
% 50.14/33.23 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB185)) | (~v223(constB185, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB185)) | (~v223(constB185, bitIndex0)))),
% 50.14/33.23 inference(rewrite,[status(thm)],[])).
% 50.14/33.23 tff(29465,plain,
% 50.14/33.23 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB185)) | (~v223(constB185, bitIndex0)))),
% 50.14/33.23 inference(quant_inst,[status(thm)],[])).
% 50.14/33.23 tff(29466,plain,
% 50.14/33.23 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB185)) | (~v223(constB185, bitIndex0))),
% 50.14/33.23 inference(modus_ponens,[status(thm)],[29465, 29464])).
% 50.14/33.23 tff(29467,plain,
% 50.14/33.23 (~v223(constB185, bitIndex0)),
% 50.14/33.23 inference(unit_resolution,[status(thm)],[29466, 8862, 29463])).
% 50.14/33.23 tff(29468,plain,
% 50.14/33.23 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB185, bitIndex0) | (~v222(constB185)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | v223(constB185, bitIndex0) | (~v222(constB185)))),
% 50.14/33.23 inference(rewrite,[status(thm)],[])).
% 50.14/33.23 tff(29469,plain,
% 50.14/33.23 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB185, bitIndex0) | (~v222(constB185)))),
% 50.14/33.23 inference(quant_inst,[status(thm)],[])).
% 50.14/33.23 tff(29470,plain,
% 50.14/33.23 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | v223(constB185, bitIndex0) | (~v222(constB185))),
% 50.14/33.23 inference(modus_ponens,[status(thm)],[29469, 29468])).
% 50.14/33.23 tff(29471,plain,
% 50.14/33.23 (~v222(constB185)),
% 50.14/33.23 inference(unit_resolution,[status(thm)],[29470, 10578, 29467])).
% 50.14/33.23 tff(29472,plain,
% 50.14/33.23 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB185, bitIndex1)) | (~v139(constB185)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB185, bitIndex1)) | (~v139(constB185)))),
% 50.14/33.23 inference(rewrite,[status(thm)],[])).
% 50.14/33.23 tff(29473,plain,
% 50.14/33.23 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB185, bitIndex1)) | (~v139(constB185)))),
% 50.14/33.23 inference(quant_inst,[status(thm)],[])).
% 50.14/33.23 tff(29474,plain,
% 50.14/33.23 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB185, bitIndex1)) | (~v139(constB185))),
% 50.14/33.23 inference(modus_ponens,[status(thm)],[29473, 29472])).
% 50.14/33.23 tff(29475,plain,
% 50.14/33.23 (~v139(constB185)),
% 50.14/33.23 inference(unit_resolution,[status(thm)],[29474, 10589, 29424])).
% 50.14/33.23 tff(29476,plain,
% 50.14/33.23 (^[VarCurr: $i] : refl((v88(VarCurr, bitIndex0) | (~v140(VarCurr))) <=> (v88(VarCurr, bitIndex0) | (~v140(VarCurr))))),
% 50.14/33.23 inference(bind,[status(th)],[])).
% 50.14/33.23 tff(29477,plain,
% 50.14/33.23 (![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr))) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))),
% 50.14/33.23 inference(quant_intro,[status(thm)],[29476])).
% 50.14/33.23 tff(29478,plain,
% 50.14/33.23 (![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr))) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))),
% 50.14/33.23 inference(rewrite,[status(thm)],[])).
% 50.14/33.23 tff(29479,axiom,(![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10_1_1_2')).
% 50.14/33.23 tff(29480,plain,
% 50.14/33.23 (![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))),
% 50.14/33.23 inference(modus_ponens,[status(thm)],[29479, 29478])).
% 50.14/33.23 tff(29481,plain,(
% 50.14/33.23 ![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))),
% 50.14/33.23 inference(skolemize,[status(sab)],[29480])).
% 50.14/33.23 tff(29482,plain,
% 50.14/33.23 (![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))),
% 50.14/33.23 inference(modus_ponens,[status(thm)],[29481, 29477])).
% 50.14/33.23 tff(29483,plain,
% 50.14/33.23 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))) | (v88(constB185, bitIndex0) | (~v140(constB185)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))) | v88(constB185, bitIndex0) | (~v140(constB185)))),
% 50.14/33.23 inference(rewrite,[status(thm)],[])).
% 50.14/33.23 tff(29484,plain,
% 50.14/33.23 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))) | (v88(constB185, bitIndex0) | (~v140(constB185)))),
% 50.14/33.23 inference(quant_inst,[status(thm)],[])).
% 50.14/33.23 tff(29485,plain,
% 50.14/33.23 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))) | v88(constB185, bitIndex0) | (~v140(constB185))),
% 50.14/33.23 inference(modus_ponens,[status(thm)],[29484, 29483])).
% 50.14/33.23 tff(29486,plain,
% 50.14/33.23 (~v140(constB185)),
% 50.14/33.23 inference(unit_resolution,[status(thm)],[29485, 29482, 29432])).
% 50.14/33.23 tff(29487,plain,
% 50.14/33.23 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB185) | v139(constB185) | (~v200(constB185)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB185) | v139(constB185) | (~v200(constB185)))),
% 50.14/33.23 inference(rewrite,[status(thm)],[])).
% 50.14/33.23 tff(29488,plain,
% 50.14/33.23 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB185) | v139(constB185) | (~v200(constB185)))),
% 50.14/33.23 inference(quant_inst,[status(thm)],[])).
% 50.14/33.23 tff(29489,plain,
% 50.14/33.23 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB185) | v139(constB185) | (~v200(constB185))),
% 50.14/33.23 inference(modus_ponens,[status(thm)],[29488, 29487])).
% 50.14/33.23 tff(29490,plain,
% 50.14/33.23 (v139(constB185) | (~v200(constB185))),
% 50.14/33.23 inference(unit_resolution,[status(thm)],[29489, 10610, 29486])).
% 50.14/33.23 tff(29491,plain,
% 50.14/33.23 (~v200(constB185)),
% 50.14/33.23 inference(unit_resolution,[status(thm)],[29490, 29475])).
% 50.14/33.23 tff(29492,plain,
% 50.14/33.23 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB185, bitIndex0) | (~v141(constB185)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB185, bitIndex0) | (~v141(constB185)))),
% 50.14/33.23 inference(rewrite,[status(thm)],[])).
% 50.14/33.23 tff(29493,plain,
% 50.14/33.23 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB185, bitIndex0) | (~v141(constB185)))),
% 50.14/33.23 inference(quant_inst,[status(thm)],[])).
% 50.14/33.23 tff(29494,plain,
% 50.14/33.23 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB185, bitIndex0) | (~v141(constB185))),
% 50.14/33.23 inference(modus_ponens,[status(thm)],[29493, 29492])).
% 50.14/33.23 tff(29495,plain,
% 50.14/33.23 (~v141(constB185)),
% 50.14/33.23 inference(unit_resolution,[status(thm)],[29494, 10624, 29432])).
% 50.14/33.23 tff(29496,plain,
% 50.14/33.23 (((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB185) | v200(constB185) | (~v166(constB185)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB185) | v200(constB185) | (~v166(constB185)))),
% 50.14/33.23 inference(rewrite,[status(thm)],[])).
% 50.14/33.23 tff(29497,plain,
% 50.14/33.23 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB185) | v200(constB185) | (~v166(constB185)))),
% 50.14/33.23 inference(quant_inst,[status(thm)],[])).
% 50.14/33.23 tff(29498,plain,
% 50.14/33.23 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB185) | v200(constB185) | (~v166(constB185))),
% 50.14/33.23 inference(modus_ponens,[status(thm)],[29497, 29496])).
% 50.14/33.23 tff(29499,plain,
% 50.14/33.23 (v200(constB185) | (~v166(constB185))),
% 50.14/33.23 inference(unit_resolution,[status(thm)],[29498, 10638, 29495])).
% 50.14/33.23 tff(29500,plain,
% 50.14/33.23 (~v166(constB185)),
% 50.14/33.23 inference(unit_resolution,[status(thm)],[29499, 29491])).
% 50.14/33.23 tff(29501,plain,
% 50.14/33.23 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB185) | (~v197(constB185)) | v166(constB185))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB185) | (~v197(constB185)) | v166(constB185))),
% 50.14/33.23 inference(rewrite,[status(thm)],[])).
% 50.14/33.23 tff(29502,plain,
% 50.14/33.23 (((~v197(constB185)) | v166(constB185) | v241(constB185)) <=> (v241(constB185) | (~v197(constB185)) | v166(constB185))),
% 50.14/33.23 inference(rewrite,[status(thm)],[])).
% 50.14/33.23 tff(29503,plain,
% 50.14/33.23 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB185)) | v166(constB185) | v241(constB185))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB185) | (~v197(constB185)) | v166(constB185)))),
% 50.14/33.23 inference(monotonicity,[status(thm)],[29502])).
% 50.14/33.23 tff(29504,plain,
% 50.14/33.23 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB185)) | v166(constB185) | v241(constB185))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB185) | (~v197(constB185)) | v166(constB185))),
% 50.14/33.23 inference(transitivity,[status(thm)],[29503, 29501])).
% 50.14/33.23 tff(29505,plain,
% 50.14/33.23 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB185)) | v166(constB185) | v241(constB185))),
% 50.14/33.23 inference(quant_inst,[status(thm)],[])).
% 50.14/33.23 tff(29506,plain,
% 50.14/33.23 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB185) | (~v197(constB185)) | v166(constB185)),
% 50.14/33.23 inference(modus_ponens,[status(thm)],[29505, 29504])).
% 50.14/33.23 tff(29507,plain,
% 50.14/33.23 (v241(constB185) | (~v197(constB185))),
% 50.14/33.23 inference(unit_resolution,[status(thm)],[29506, 10277, 29500])).
% 50.14/33.23 tff(29508,plain,
% 50.14/33.23 (v241(constB185)),
% 50.14/33.23 inference(unit_resolution,[status(thm)],[29507, 29456])).
% 50.14/33.23 tff(29509,plain,
% 50.14/33.23 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB185)) | (~v223(constB185, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB185)) | (~v223(constB185, bitIndex2)))),
% 50.14/33.23 inference(rewrite,[status(thm)],[])).
% 50.14/33.23 tff(29510,plain,
% 50.14/33.23 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB185)) | (~v223(constB185, bitIndex2)))),
% 50.14/33.23 inference(quant_inst,[status(thm)],[])).
% 50.14/33.23 tff(29511,plain,
% 50.14/33.23 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB185)) | (~v223(constB185, bitIndex2))),
% 50.14/33.23 inference(modus_ponens,[status(thm)],[29510, 29509])).
% 50.14/33.23 tff(29512,plain,
% 50.14/33.23 (~v223(constB185, bitIndex2)),
% 50.14/33.23 inference(unit_resolution,[status(thm)],[29511, 10292, 29508])).
% 50.14/33.23 tff(29513,plain,
% 50.14/33.23 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB185)) | v223(constB185, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB185)) | v223(constB185, bitIndex2))),
% 50.14/33.23 inference(rewrite,[status(thm)],[])).
% 50.14/33.23 tff(29514,plain,
% 50.14/33.23 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB185)) | v223(constB185, bitIndex2))),
% 50.14/33.23 inference(quant_inst,[status(thm)],[])).
% 50.14/33.23 tff(29515,plain,
% 50.14/33.23 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB185)) | v223(constB185, bitIndex2)),
% 50.14/33.23 inference(modus_ponens,[status(thm)],[29514, 29513])).
% 50.14/33.23 tff(29516,plain,
% 50.14/33.23 (~v224(constB185)),
% 50.14/33.23 inference(unit_resolution,[status(thm)],[29515, 10343, 29512])).
% 50.14/33.23 tff(29517,plain,
% 50.14/33.23 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB185) | v224(constB185) | (~v236(constB185)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB185) | v224(constB185) | (~v236(constB185)))),
% 50.14/33.23 inference(rewrite,[status(thm)],[])).
% 50.14/33.23 tff(29518,plain,
% 50.14/33.23 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB185) | v224(constB185) | (~v236(constB185)))),
% 50.14/33.23 inference(quant_inst,[status(thm)],[])).
% 50.14/33.23 tff(29519,plain,
% 50.14/33.23 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB185) | v224(constB185) | (~v236(constB185))),
% 50.14/33.23 inference(modus_ponens,[status(thm)],[29518, 29517])).
% 50.14/33.23 tff(29520,plain,
% 50.14/33.23 (~v236(constB185)),
% 50.14/33.23 inference(unit_resolution,[status(thm)],[29519, 8968, 29516, 29471])).
% 50.14/33.23 tff(29521,plain,
% 50.14/33.23 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB185) | (~v232(constB185)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB185) | (~v232(constB185)))),
% 50.14/33.23 inference(rewrite,[status(thm)],[])).
% 50.14/33.23 tff(29522,plain,
% 50.14/33.23 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB185) | (~v232(constB185)))),
% 50.14/33.23 inference(quant_inst,[status(thm)],[])).
% 50.14/33.23 tff(29523,plain,
% 50.14/33.23 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB185) | (~v232(constB185))),
% 50.14/33.23 inference(modus_ponens,[status(thm)],[29522, 29521])).
% 50.14/33.23 tff(29524,plain,
% 50.14/33.23 (~v232(constB185)),
% 50.14/33.23 inference(unit_resolution,[status(thm)],[29523, 8980, 29520])).
% 50.14/33.23 tff(29525,plain,
% 50.14/33.23 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB185) | v139(constB185) | (~v148(constB185)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB185) | v139(constB185) | (~v148(constB185)))),
% 50.14/33.23 inference(rewrite,[status(thm)],[])).
% 50.14/33.23 tff(29526,plain,
% 50.14/33.23 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB185) | v139(constB185) | (~v148(constB185)))),
% 50.14/33.23 inference(quant_inst,[status(thm)],[])).
% 50.14/33.23 tff(29527,plain,
% 50.14/33.23 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB185) | v139(constB185) | (~v148(constB185))),
% 50.14/33.23 inference(modus_ponens,[status(thm)],[29526, 29525])).
% 50.14/33.23 tff(29528,plain,
% 50.14/33.23 (v139(constB185) | (~v148(constB185))),
% 50.14/33.23 inference(unit_resolution,[status(thm)],[29527, 9016, 29486])).
% 50.14/33.23 tff(29529,plain,
% 50.14/33.23 (~v148(constB185)),
% 50.14/33.23 inference(unit_resolution,[status(thm)],[29528, 29475])).
% 50.14/33.23 tff(29530,plain,
% 50.14/33.23 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB185) | v148(constB185) | (~v197(constB185)))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB185) | v148(constB185) | (~v197(constB185)))),
% 50.14/33.23 inference(rewrite,[status(thm)],[])).
% 50.14/33.23 tff(29531,plain,
% 50.14/33.23 ((v148(constB185) | (~v197(constB185)) | v252(constB185)) <=> (v252(constB185) | v148(constB185) | (~v197(constB185)))),
% 50.14/33.23 inference(rewrite,[status(thm)],[])).
% 50.14/33.23 tff(29532,plain,
% 50.14/33.23 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB185) | (~v197(constB185)) | v252(constB185))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB185) | v148(constB185) | (~v197(constB185))))),
% 50.14/33.23 inference(monotonicity,[status(thm)],[29531])).
% 50.14/33.23 tff(29533,plain,
% 50.14/33.23 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB185) | (~v197(constB185)) | v252(constB185))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB185) | v148(constB185) | (~v197(constB185)))),
% 50.14/33.23 inference(transitivity,[status(thm)],[29532, 29530])).
% 50.14/33.23 tff(29534,plain,
% 50.14/33.23 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB185) | (~v197(constB185)) | v252(constB185))),
% 50.14/33.23 inference(quant_inst,[status(thm)],[])).
% 50.14/33.23 tff(29535,plain,
% 50.14/33.23 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB185) | v148(constB185) | (~v197(constB185))),
% 50.14/33.23 inference(modus_ponens,[status(thm)],[29534, 29533])).
% 50.14/33.23 tff(29536,plain,
% 50.14/33.23 (v252(constB185) | (~v197(constB185))),
% 50.14/33.23 inference(unit_resolution,[status(thm)],[29535, 9033, 29529])).
% 50.14/33.23 tff(29537,plain,
% 50.14/33.23 (v252(constB185)),
% 50.14/33.23 inference(unit_resolution,[status(thm)],[29536, 29456])).
% 50.14/33.23 tff(29538,plain,
% 50.14/33.23 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB185)) | (~v223(constB185, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB185)) | (~v223(constB185, bitIndex3)))),
% 50.14/33.23 inference(rewrite,[status(thm)],[])).
% 50.14/33.23 tff(29539,plain,
% 50.14/33.23 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB185)) | (~v223(constB185, bitIndex3)))),
% 50.14/33.23 inference(quant_inst,[status(thm)],[])).
% 50.14/33.23 tff(29540,plain,
% 50.14/33.23 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB185)) | (~v223(constB185, bitIndex3))),
% 50.14/33.23 inference(modus_ponens,[status(thm)],[29539, 29538])).
% 50.14/33.23 tff(29541,plain,
% 50.14/33.23 (~v223(constB185, bitIndex3)),
% 50.14/33.23 inference(unit_resolution,[status(thm)],[29540, 9048, 29537])).
% 50.14/33.23 tff(29542,plain,
% 50.14/33.23 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB185)) | v223(constB185, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB185)) | v223(constB185, bitIndex3))),
% 50.14/33.23 inference(rewrite,[status(thm)],[])).
% 50.14/33.23 tff(29543,plain,
% 50.14/33.23 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB185)) | v223(constB185, bitIndex3))),
% 50.14/33.23 inference(quant_inst,[status(thm)],[])).
% 50.14/33.23 tff(29544,plain,
% 50.14/33.23 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB185)) | v223(constB185, bitIndex3)),
% 50.14/33.23 inference(modus_ponens,[status(thm)],[29543, 29542])).
% 50.14/33.23 tff(29545,plain,
% 50.14/33.23 (~v237(constB185)),
% 50.14/33.23 inference(unit_resolution,[status(thm)],[29544, 9062, 29541])).
% 50.14/33.23 tff(29546,plain,
% 50.14/33.23 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB185) | v232(constB185) | (~v248(constB185)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB185) | v232(constB185) | (~v248(constB185)))),
% 50.14/33.23 inference(rewrite,[status(thm)],[])).
% 50.14/33.23 tff(29547,plain,
% 50.14/33.23 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB185) | v232(constB185) | (~v248(constB185)))),
% 50.14/33.23 inference(quant_inst,[status(thm)],[])).
% 50.14/33.23 tff(29548,plain,
% 50.14/33.23 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB185) | v232(constB185) | (~v248(constB185))),
% 50.14/33.23 inference(modus_ponens,[status(thm)],[29547, 29546])).
% 50.14/33.23 tff(29549,plain,
% 50.14/33.23 (v232(constB185) | (~v248(constB185))),
% 50.14/33.23 inference(unit_resolution,[status(thm)],[29548, 9076, 29545])).
% 50.14/33.23 tff(29550,plain,
% 50.14/33.23 (~v248(constB185)),
% 50.14/33.23 inference(unit_resolution,[status(thm)],[29549, 29524])).
% 50.14/33.23 tff(29551,plain,
% 50.14/33.23 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB185) | (~v244(constB185)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB185) | (~v244(constB185)))),
% 50.14/33.23 inference(rewrite,[status(thm)],[])).
% 50.14/33.23 tff(29552,plain,
% 50.14/33.23 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB185) | (~v244(constB185)))),
% 50.14/33.23 inference(quant_inst,[status(thm)],[])).
% 50.14/33.23 tff(29553,plain,
% 50.14/33.23 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB185) | (~v244(constB185))),
% 50.14/33.23 inference(modus_ponens,[status(thm)],[29552, 29551])).
% 50.14/33.23 tff(29554,plain,
% 50.14/33.23 (~v244(constB185)),
% 50.14/33.23 inference(unit_resolution,[status(thm)],[29553, 11335, 29550])).
% 50.14/33.23 tff(29555,plain,
% 50.14/33.23 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB185) | (~v216(constB185, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB185) | (~v216(constB185, bitIndex1)))),
% 50.14/33.23 inference(rewrite,[status(thm)],[])).
% 50.14/33.23 tff(29556,plain,
% 50.14/33.23 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB185) | (~v216(constB185, bitIndex1)))),
% 50.14/33.23 inference(quant_inst,[status(thm)],[])).
% 50.14/33.23 tff(29557,plain,
% 50.14/33.23 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB185) | (~v216(constB185, bitIndex1))),
% 50.14/33.23 inference(modus_ponens,[status(thm)],[29556, 29555])).
% 50.14/33.23 tff(29558,plain,
% 50.14/33.23 (~v216(constB185, bitIndex1)),
% 50.14/33.23 inference(unit_resolution,[status(thm)],[29557, 11346, 29554])).
% 50.14/33.23 tff(29559,plain,
% 50.14/33.23 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB185, bitIndex1) | (~v254(constB185)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB185, bitIndex1) | (~v254(constB185)))),
% 50.14/33.23 inference(rewrite,[status(thm)],[])).
% 50.14/33.23 tff(29560,plain,
% 50.14/33.23 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB185, bitIndex1) | (~v254(constB185)))),
% 50.14/33.23 inference(quant_inst,[status(thm)],[])).
% 50.14/33.23 tff(29561,plain,
% 50.14/33.23 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB185, bitIndex1) | (~v254(constB185))),
% 50.14/33.23 inference(modus_ponens,[status(thm)],[29560, 29559])).
% 50.14/33.23 tff(29562,plain,
% 50.14/33.23 (~v254(constB185)),
% 50.14/33.23 inference(unit_resolution,[status(thm)],[29561, 11357, 29558])).
% 50.14/33.23 tff(29563,plain,
% 50.14/33.23 (((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB185) | (~v221(constB185)))) <=> ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB185) | (~v221(constB185)))),
% 50.14/33.23 inference(rewrite,[status(thm)],[])).
% 50.14/33.23 tff(29564,plain,
% 50.14/33.23 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB185) | (~v221(constB185)))),
% 50.14/33.23 inference(quant_inst,[status(thm)],[])).
% 50.14/33.23 tff(29565,plain,
% 50.14/33.23 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB185) | (~v221(constB185))),
% 50.14/33.23 inference(modus_ponens,[status(thm)],[29564, 29563])).
% 50.14/33.23 tff(29566,plain,
% 50.14/33.23 (~v221(constB185)),
% 50.14/33.23 inference(unit_resolution,[status(thm)],[29565, 11505, 29516])).
% 50.14/33.23 tff(29567,plain,
% 50.14/33.23 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB185) | (~v231(constB185)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB185) | (~v231(constB185)))),
% 50.14/33.23 inference(rewrite,[status(thm)],[])).
% 50.14/33.23 tff(29568,plain,
% 50.14/33.23 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB185) | (~v231(constB185)))),
% 50.14/33.23 inference(quant_inst,[status(thm)],[])).
% 50.14/33.23 tff(29569,plain,
% 50.14/33.23 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB185) | (~v231(constB185))),
% 50.14/33.23 inference(modus_ponens,[status(thm)],[29568, 29567])).
% 50.14/33.23 tff(29570,plain,
% 50.14/33.23 (~v231(constB185)),
% 50.14/33.23 inference(unit_resolution,[status(thm)],[29569, 11162, 29545])).
% 50.14/33.23 tff(29571,plain,
% 50.14/33.23 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB185) | v231(constB185) | (~v243(constB185)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB185) | v231(constB185) | (~v243(constB185)))),
% 50.14/33.23 inference(rewrite,[status(thm)],[])).
% 50.14/33.23 tff(29572,plain,
% 50.14/33.23 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB185) | v231(constB185) | (~v243(constB185)))),
% 50.14/33.23 inference(quant_inst,[status(thm)],[])).
% 50.14/33.23 tff(29573,plain,
% 50.14/33.23 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB185) | v231(constB185) | (~v243(constB185))),
% 50.14/33.23 inference(modus_ponens,[status(thm)],[29572, 29571])).
% 50.14/33.23 tff(29574,plain,
% 50.14/33.23 (~v243(constB185)),
% 50.14/33.24 inference(unit_resolution,[status(thm)],[29573, 11206, 29570, 29566])).
% 50.14/33.24 tff(29575,plain,
% 50.14/33.24 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB185) | v255(constB185))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB185) | v255(constB185))),
% 50.14/33.24 inference(rewrite,[status(thm)],[])).
% 50.14/33.24 tff(29576,plain,
% 50.14/33.24 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB185) | v255(constB185))),
% 50.14/33.24 inference(quant_inst,[status(thm)],[])).
% 50.14/33.24 tff(29577,plain,
% 50.14/33.24 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB185) | v255(constB185)),
% 50.14/33.24 inference(modus_ponens,[status(thm)],[29576, 29575])).
% 50.14/33.24 tff(29578,plain,
% 50.14/33.24 (v255(constB185)),
% 50.14/33.24 inference(unit_resolution,[status(thm)],[29577, 11222, 29574])).
% 50.14/33.24 tff(29579,plain,
% 50.14/33.24 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB185)) | (~v216(constB185, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB185)) | (~v216(constB185, bitIndex2)))),
% 50.14/33.24 inference(rewrite,[status(thm)],[])).
% 50.14/33.24 tff(29580,plain,
% 50.14/33.24 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB185)) | (~v216(constB185, bitIndex2)))),
% 50.14/33.24 inference(quant_inst,[status(thm)],[])).
% 50.14/33.24 tff(29581,plain,
% 50.14/33.24 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB185)) | (~v216(constB185, bitIndex2))),
% 50.14/33.24 inference(modus_ponens,[status(thm)],[29580, 29579])).
% 50.14/33.24 tff(29582,plain,
% 50.14/33.24 (~v216(constB185, bitIndex2)),
% 50.14/33.24 inference(unit_resolution,[status(thm)],[29581, 11237, 29578])).
% 50.14/33.24 tff(29583,plain,
% 50.14/33.24 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB185, bitIndex2) | v254(constB185) | (~v215(constB185)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB185, bitIndex2) | v254(constB185) | (~v215(constB185)))),
% 50.14/33.24 inference(rewrite,[status(thm)],[])).
% 50.14/33.24 tff(29584,plain,
% 50.14/33.24 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB185, bitIndex2) | v254(constB185) | (~v215(constB185)))),
% 50.14/33.24 inference(quant_inst,[status(thm)],[])).
% 50.14/33.24 tff(29585,plain,
% 50.14/33.24 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB185, bitIndex2) | v254(constB185) | (~v215(constB185))),
% 50.14/33.24 inference(modus_ponens,[status(thm)],[29584, 29583])).
% 50.14/33.24 tff(29586,plain,
% 50.14/33.24 (v254(constB185) | (~v215(constB185))),
% 50.14/33.24 inference(unit_resolution,[status(thm)],[29585, 11278, 29582])).
% 50.14/33.24 tff(29587,plain,
% 50.14/33.24 (~v215(constB185)),
% 50.14/33.24 inference(unit_resolution,[status(thm)],[29586, 29562])).
% 50.14/33.24 tff(29588,plain,
% 50.14/33.24 ($false),
% 50.14/33.24 inference(unit_resolution,[status(thm)],[29587, 29420])).
% 50.14/33.24 tff(29589,plain,(~(constB185 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.14/33.24 tff(29590,assumption,(constB17 = sK0_VarCurr), introduced(assumption)).
% 50.14/33.24 tff(29591,plain,
% 50.14/33.24 (v215(constB17) <=> v215(sK0_VarCurr)),
% 50.14/33.24 inference(monotonicity,[status(thm)],[29590])).
% 50.14/33.24 tff(29592,plain,
% 50.14/33.24 (v215(sK0_VarCurr) <=> v215(constB17)),
% 50.14/33.24 inference(symmetry,[status(thm)],[29591])).
% 50.14/33.24 tff(29593,plain,
% 50.14/33.24 (v215(constB17)),
% 50.14/33.24 inference(modus_ponens,[status(thm)],[11268, 29592])).
% 50.14/33.24 tff(29594,plain,
% 50.14/33.24 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB17, bitIndex2) | (~v88(constB17, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB17, bitIndex2) | (~v88(constB17, bitIndex2)))),
% 50.14/33.24 inference(rewrite,[status(thm)],[])).
% 50.14/33.24 tff(29595,plain,
% 50.14/33.24 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB17, bitIndex2) | (~v88(constB17, bitIndex2)))),
% 50.14/33.24 inference(quant_inst,[status(thm)],[])).
% 50.14/33.24 tff(29596,plain,
% 50.14/33.24 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB17, bitIndex2) | (~v88(constB17, bitIndex2))),
% 50.14/33.24 inference(modus_ponens,[status(thm)],[29595, 29594])).
% 50.14/33.24 tff(29597,plain,
% 50.14/33.24 (~v88(constB17, bitIndex2)),
% 50.14/33.24 inference(unit_resolution,[status(thm)],[29596, 8769, 4028])).
% 50.14/33.24 tff(29598,plain,
% 50.14/33.24 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB17, bitIndex1) | (~v88(constB17, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB17, bitIndex1) | (~v88(constB17, bitIndex1)))),
% 50.14/33.24 inference(rewrite,[status(thm)],[])).
% 50.14/33.24 tff(29599,plain,
% 50.14/33.24 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB17, bitIndex1) | (~v88(constB17, bitIndex1)))),
% 50.14/33.24 inference(quant_inst,[status(thm)],[])).
% 50.14/33.24 tff(29600,plain,
% 50.14/33.24 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB17, bitIndex1) | (~v88(constB17, bitIndex1))),
% 50.14/33.24 inference(modus_ponens,[status(thm)],[29599, 29598])).
% 50.14/33.24 tff(29601,plain,
% 50.14/33.24 (~v88(constB17, bitIndex1)),
% 50.14/33.24 inference(unit_resolution,[status(thm)],[29600, 10126, 2379])).
% 50.14/33.24 tff(29602,plain,
% 50.14/33.24 (v130(constB15, bitIndex0)),
% 50.14/33.24 inference(unit_resolution,[status(thm)],[2466, 908, 2316, 2305, 2301, 2297, 2283, 2279])).
% 50.14/33.24 tff(29603,plain,
% 50.14/33.24 (v127(constB15, bitIndex0)),
% 50.14/33.24 inference(unit_resolution,[status(thm)],[2471, 29602])).
% 50.14/33.24 tff(29604,plain,
% 50.14/33.24 (v129(constB16, bitIndex0)),
% 50.14/33.24 inference(unit_resolution,[status(thm)],[2476, 29603])).
% 50.14/33.24 tff(29605,plain,
% 50.14/33.24 (v90(constB16, bitIndex0) | (~v100(constB16))),
% 50.14/33.24 inference(unit_resolution,[status(thm)],[2483, 1088, 29604])).
% 50.14/33.24 tff(29606,plain,
% 50.14/33.24 (v90(constB16, bitIndex0)),
% 50.14/33.24 inference(unit_resolution,[status(thm)],[29605, 2275])).
% 50.14/33.24 tff(29607,plain,
% 50.14/33.24 (v90(constB17, bitIndex0)),
% 50.14/33.24 inference(unit_resolution,[status(thm)],[2493, 29606])).
% 50.14/33.24 tff(29608,plain,
% 50.14/33.24 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB17, bitIndex0)) | v88(constB17, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB17, bitIndex0)) | v88(constB17, bitIndex0))),
% 50.14/33.24 inference(rewrite,[status(thm)],[])).
% 50.14/33.24 tff(29609,plain,
% 50.14/33.24 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB17, bitIndex0)) | v88(constB17, bitIndex0))),
% 50.14/33.24 inference(quant_inst,[status(thm)],[])).
% 50.14/33.24 tff(29610,plain,
% 50.14/33.24 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB17, bitIndex0)) | v88(constB17, bitIndex0)),
% 50.14/33.24 inference(modus_ponens,[status(thm)],[29609, 29608])).
% 50.14/33.24 tff(29611,plain,
% 50.14/33.24 (v88(constB17, bitIndex0)),
% 50.14/33.24 inference(unit_resolution,[status(thm)],[29610, 8662, 29607])).
% 50.14/33.24 tff(29612,plain,
% 50.14/33.24 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB17, bitIndex1) | v88(constB17, bitIndex2) | (~v88(constB17, bitIndex0)) | v140(constB17))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB17, bitIndex1) | v88(constB17, bitIndex2) | (~v88(constB17, bitIndex0)) | v140(constB17))),
% 50.14/33.24 inference(rewrite,[status(thm)],[])).
% 50.14/33.24 tff(29613,plain,
% 50.14/33.24 ((v88(constB17, bitIndex2) | v88(constB17, bitIndex1) | (~v88(constB17, bitIndex0)) | v140(constB17)) <=> (v88(constB17, bitIndex1) | v88(constB17, bitIndex2) | (~v88(constB17, bitIndex0)) | v140(constB17))),
% 50.14/33.24 inference(rewrite,[status(thm)],[])).
% 50.14/33.24 tff(29614,plain,
% 50.14/33.24 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB17, bitIndex2) | v88(constB17, bitIndex1) | (~v88(constB17, bitIndex0)) | v140(constB17))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB17, bitIndex1) | v88(constB17, bitIndex2) | (~v88(constB17, bitIndex0)) | v140(constB17)))),
% 50.14/33.24 inference(monotonicity,[status(thm)],[29613])).
% 50.14/33.24 tff(29615,plain,
% 50.14/33.24 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB17, bitIndex2) | v88(constB17, bitIndex1) | (~v88(constB17, bitIndex0)) | v140(constB17))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB17, bitIndex1) | v88(constB17, bitIndex2) | (~v88(constB17, bitIndex0)) | v140(constB17))),
% 50.14/33.24 inference(transitivity,[status(thm)],[29614, 29612])).
% 50.14/33.24 tff(29616,plain,
% 50.14/33.24 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB17, bitIndex2) | v88(constB17, bitIndex1) | (~v88(constB17, bitIndex0)) | v140(constB17))),
% 50.14/33.24 inference(quant_inst,[status(thm)],[])).
% 50.14/33.24 tff(29617,plain,
% 50.14/33.24 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB17, bitIndex1) | v88(constB17, bitIndex2) | (~v88(constB17, bitIndex0)) | v140(constB17)),
% 50.14/33.24 inference(modus_ponens,[status(thm)],[29616, 29615])).
% 50.14/33.24 tff(29618,plain,
% 50.14/33.24 (v140(constB17)),
% 50.14/33.24 inference(unit_resolution,[status(thm)],[29617, 10178, 29611, 29601, 29597])).
% 50.14/33.24 tff(29619,plain,
% 50.14/33.24 (((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB17) | (~v140(constB17)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB17) | (~v140(constB17)))),
% 50.14/33.24 inference(rewrite,[status(thm)],[])).
% 50.14/33.24 tff(29620,plain,
% 50.14/33.24 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB17) | (~v140(constB17)))),
% 50.14/33.24 inference(quant_inst,[status(thm)],[])).
% 50.14/33.24 tff(29621,plain,
% 50.14/33.24 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB17) | (~v140(constB17))),
% 50.14/33.24 inference(modus_ponens,[status(thm)],[29620, 29619])).
% 50.14/33.24 tff(29622,plain,
% 50.14/33.24 (v200(constB17)),
% 50.14/33.24 inference(unit_resolution,[status(thm)],[29621, 10192, 29618])).
% 50.14/33.24 tff(29623,plain,
% 50.14/33.24 (((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB17) | (~v200(constB17)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB17) | (~v200(constB17)))),
% 50.14/33.24 inference(rewrite,[status(thm)],[])).
% 50.14/33.24 tff(29624,plain,
% 50.14/33.24 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB17) | (~v200(constB17)))),
% 50.14/33.24 inference(quant_inst,[status(thm)],[])).
% 50.14/33.24 tff(29625,plain,
% 50.14/33.24 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB17) | (~v200(constB17))),
% 50.14/33.24 inference(modus_ponens,[status(thm)],[29624, 29623])).
% 50.14/33.24 tff(29626,plain,
% 50.14/33.24 (v199(constB17)),
% 50.14/33.24 inference(unit_resolution,[status(thm)],[29625, 10203, 29622])).
% 50.14/33.24 tff(29627,plain,
% 50.14/33.24 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB17) | (~v199(constB17)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB17) | (~v199(constB17)))),
% 50.14/33.24 inference(rewrite,[status(thm)],[])).
% 50.14/33.24 tff(29628,plain,
% 50.14/33.24 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB17) | (~v199(constB17)))),
% 50.14/33.24 inference(quant_inst,[status(thm)],[])).
% 50.14/33.24 tff(29629,plain,
% 50.14/33.24 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB17) | (~v199(constB17))),
% 50.14/33.24 inference(modus_ponens,[status(thm)],[29628, 29627])).
% 50.14/33.24 tff(29630,plain,
% 50.14/33.24 (v198(constB17)),
% 50.14/33.24 inference(unit_resolution,[status(thm)],[29629, 8809, 29626])).
% 50.14/33.24 tff(29631,plain,
% 50.14/33.24 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB17) | (~v198(constB17)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB17) | (~v198(constB17)))),
% 50.14/33.24 inference(rewrite,[status(thm)],[])).
% 50.14/33.24 tff(29632,plain,
% 50.14/33.24 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB17) | (~v198(constB17)))),
% 50.14/33.24 inference(quant_inst,[status(thm)],[])).
% 50.14/33.24 tff(29633,plain,
% 50.14/33.24 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB17) | (~v198(constB17))),
% 50.14/33.24 inference(modus_ponens,[status(thm)],[29632, 29631])).
% 50.14/33.24 tff(29634,plain,
% 50.14/33.24 (v197(constB17)),
% 50.14/33.24 inference(unit_resolution,[status(thm)],[29633, 8834, 29630])).
% 50.14/33.24 tff(29635,plain,
% 50.14/33.24 (((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB17)) | (~v200(constB17)))) <=> ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB17)) | (~v200(constB17)))),
% 50.14/33.24 inference(rewrite,[status(thm)],[])).
% 50.14/33.24 tff(29636,plain,
% 50.14/33.24 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB17)) | (~v200(constB17)))),
% 50.14/33.24 inference(quant_inst,[status(thm)],[])).
% 50.14/33.24 tff(29637,plain,
% 50.14/33.24 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB17)) | (~v200(constB17))),
% 50.14/33.24 inference(modus_ponens,[status(thm)],[29636, 29635])).
% 50.14/33.24 tff(29638,plain,
% 50.14/33.24 (~v166(constB17)),
% 50.14/33.24 inference(unit_resolution,[status(thm)],[29637, 10263, 29622])).
% 50.14/33.24 tff(29639,plain,
% 50.14/33.24 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB17) | (~v197(constB17)) | v166(constB17))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB17) | (~v197(constB17)) | v166(constB17))),
% 50.14/33.24 inference(rewrite,[status(thm)],[])).
% 50.14/33.24 tff(29640,plain,
% 50.14/33.24 (((~v197(constB17)) | v166(constB17) | v241(constB17)) <=> (v241(constB17) | (~v197(constB17)) | v166(constB17))),
% 50.14/33.24 inference(rewrite,[status(thm)],[])).
% 50.14/33.24 tff(29641,plain,
% 50.14/33.24 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB17)) | v166(constB17) | v241(constB17))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB17) | (~v197(constB17)) | v166(constB17)))),
% 50.14/33.24 inference(monotonicity,[status(thm)],[29640])).
% 50.14/33.24 tff(29642,plain,
% 50.14/33.24 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB17)) | v166(constB17) | v241(constB17))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB17) | (~v197(constB17)) | v166(constB17))),
% 50.14/33.24 inference(transitivity,[status(thm)],[29641, 29639])).
% 50.14/33.24 tff(29643,plain,
% 50.14/33.24 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB17)) | v166(constB17) | v241(constB17))),
% 50.14/33.24 inference(quant_inst,[status(thm)],[])).
% 50.14/33.24 tff(29644,plain,
% 50.14/33.24 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB17) | (~v197(constB17)) | v166(constB17)),
% 50.14/33.24 inference(modus_ponens,[status(thm)],[29643, 29642])).
% 50.14/33.24 tff(29645,plain,
% 50.14/33.24 (v241(constB17) | (~v197(constB17))),
% 50.14/33.24 inference(unit_resolution,[status(thm)],[29644, 10277, 29638])).
% 50.14/33.24 tff(29646,plain,
% 50.14/33.24 (v241(constB17)),
% 50.14/33.24 inference(unit_resolution,[status(thm)],[29645, 29634])).
% 50.14/33.24 tff(29647,plain,
% 50.14/33.24 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB17)) | (~v223(constB17, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB17)) | (~v223(constB17, bitIndex2)))),
% 50.14/33.24 inference(rewrite,[status(thm)],[])).
% 50.14/33.24 tff(29648,plain,
% 50.14/33.24 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB17)) | (~v223(constB17, bitIndex2)))),
% 50.14/33.24 inference(quant_inst,[status(thm)],[])).
% 50.14/33.24 tff(29649,plain,
% 50.14/33.24 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB17)) | (~v223(constB17, bitIndex2))),
% 50.14/33.24 inference(modus_ponens,[status(thm)],[29648, 29647])).
% 50.14/33.24 tff(29650,plain,
% 50.14/33.24 (~v223(constB17, bitIndex2)),
% 50.14/33.24 inference(unit_resolution,[status(thm)],[29649, 10292, 29646])).
% 50.14/33.24 tff(29651,plain,
% 50.14/33.24 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB17)) | v223(constB17, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB17)) | v223(constB17, bitIndex2))),
% 50.14/33.24 inference(rewrite,[status(thm)],[])).
% 50.14/33.24 tff(29652,plain,
% 50.14/33.24 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB17)) | v223(constB17, bitIndex2))),
% 50.14/33.24 inference(quant_inst,[status(thm)],[])).
% 50.14/33.24 tff(29653,plain,
% 50.14/33.24 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB17)) | v223(constB17, bitIndex2)),
% 50.14/33.24 inference(modus_ponens,[status(thm)],[29652, 29651])).
% 50.14/33.24 tff(29654,plain,
% 50.14/33.24 (~v224(constB17)),
% 50.14/33.24 inference(unit_resolution,[status(thm)],[29653, 10343, 29650])).
% 50.14/33.24 tff(29655,plain,
% 50.14/33.24 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB17)) | (~v199(constB17)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB17)) | (~v199(constB17)))),
% 50.14/33.24 inference(rewrite,[status(thm)],[])).
% 50.14/33.24 tff(29656,plain,
% 50.14/33.24 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB17)) | (~v199(constB17)))),
% 50.14/33.24 inference(quant_inst,[status(thm)],[])).
% 50.14/33.24 tff(29657,plain,
% 50.14/33.24 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB17)) | (~v199(constB17))),
% 50.14/33.24 inference(modus_ponens,[status(thm)],[29656, 29655])).
% 50.14/33.24 tff(29658,plain,
% 50.14/33.24 (~v183(constB17)),
% 50.14/33.24 inference(unit_resolution,[status(thm)],[29657, 8873, 29626])).
% 50.14/33.24 tff(29659,plain,
% 50.14/33.24 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB17) | (~v197(constB17)) | v183(constB17))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB17) | (~v197(constB17)) | v183(constB17))),
% 50.14/33.24 inference(rewrite,[status(thm)],[])).
% 50.14/33.24 tff(29660,plain,
% 50.14/33.24 (((~v197(constB17)) | v183(constB17) | v228(constB17)) <=> (v228(constB17) | (~v197(constB17)) | v183(constB17))),
% 50.14/33.24 inference(rewrite,[status(thm)],[])).
% 50.14/33.24 tff(29661,plain,
% 50.14/33.24 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB17)) | v183(constB17) | v228(constB17))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB17) | (~v197(constB17)) | v183(constB17)))),
% 50.14/33.24 inference(monotonicity,[status(thm)],[29660])).
% 50.14/33.24 tff(29662,plain,
% 50.14/33.24 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB17)) | v183(constB17) | v228(constB17))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB17) | (~v197(constB17)) | v183(constB17))),
% 50.14/33.24 inference(transitivity,[status(thm)],[29661, 29659])).
% 50.14/33.24 tff(29663,plain,
% 50.14/33.24 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB17)) | v183(constB17) | v228(constB17))),
% 50.14/33.24 inference(quant_inst,[status(thm)],[])).
% 50.14/33.24 tff(29664,plain,
% 50.14/33.24 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB17) | (~v197(constB17)) | v183(constB17)),
% 50.14/33.24 inference(modus_ponens,[status(thm)],[29663, 29662])).
% 50.14/33.24 tff(29665,plain,
% 50.14/33.24 (v228(constB17)),
% 50.14/33.24 inference(unit_resolution,[status(thm)],[29664, 8887, 29634, 29658])).
% 50.14/33.24 tff(29666,plain,
% 50.14/33.24 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB17)) | (~v223(constB17, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB17)) | (~v223(constB17, bitIndex1)))),
% 50.14/33.24 inference(rewrite,[status(thm)],[])).
% 50.14/33.24 tff(29667,plain,
% 50.14/33.24 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB17)) | (~v223(constB17, bitIndex1)))),
% 50.14/33.24 inference(quant_inst,[status(thm)],[])).
% 50.14/33.24 tff(29668,plain,
% 50.14/33.24 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB17)) | (~v223(constB17, bitIndex1))),
% 50.14/33.24 inference(modus_ponens,[status(thm)],[29667, 29666])).
% 50.14/33.24 tff(29669,plain,
% 50.14/33.24 (~v223(constB17, bitIndex1)),
% 50.14/33.24 inference(unit_resolution,[status(thm)],[29668, 8901, 29665])).
% 50.14/33.24 tff(29670,plain,
% 50.14/33.24 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB17)) | v223(constB17, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB17)) | v223(constB17, bitIndex1))),
% 50.14/33.24 inference(rewrite,[status(thm)],[])).
% 50.14/33.24 tff(29671,plain,
% 50.14/33.24 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB17)) | v223(constB17, bitIndex1))),
% 50.14/33.24 inference(quant_inst,[status(thm)],[])).
% 50.14/33.24 tff(29672,plain,
% 50.14/33.24 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB17)) | v223(constB17, bitIndex1)),
% 50.14/33.24 inference(modus_ponens,[status(thm)],[29671, 29670])).
% 50.14/33.24 tff(29673,plain,
% 50.14/33.24 (~v222(constB17)),
% 50.14/33.24 inference(unit_resolution,[status(thm)],[29672, 8954, 29669])).
% 50.14/33.24 tff(29674,plain,
% 50.14/33.24 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB17) | v224(constB17) | (~v236(constB17)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB17) | v224(constB17) | (~v236(constB17)))),
% 50.14/33.24 inference(rewrite,[status(thm)],[])).
% 50.14/33.24 tff(29675,plain,
% 50.14/33.24 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB17) | v224(constB17) | (~v236(constB17)))),
% 50.14/33.24 inference(quant_inst,[status(thm)],[])).
% 50.14/33.24 tff(29676,plain,
% 50.14/33.24 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB17) | v224(constB17) | (~v236(constB17))),
% 50.14/33.24 inference(modus_ponens,[status(thm)],[29675, 29674])).
% 50.14/33.24 tff(29677,plain,
% 50.14/33.24 (~v236(constB17)),
% 50.14/33.24 inference(unit_resolution,[status(thm)],[29676, 8968, 29673, 29654])).
% 50.14/33.24 tff(29678,plain,
% 50.14/33.24 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB17) | (~v232(constB17)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB17) | (~v232(constB17)))),
% 50.14/33.24 inference(rewrite,[status(thm)],[])).
% 50.14/33.24 tff(29679,plain,
% 50.14/33.24 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB17) | (~v232(constB17)))),
% 50.14/33.24 inference(quant_inst,[status(thm)],[])).
% 50.14/33.24 tff(29680,plain,
% 50.14/33.24 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB17) | (~v232(constB17))),
% 50.14/33.24 inference(modus_ponens,[status(thm)],[29679, 29678])).
% 50.14/33.24 tff(29681,plain,
% 50.14/33.24 (~v232(constB17)),
% 50.14/33.24 inference(unit_resolution,[status(thm)],[29680, 8980, 29677])).
% 50.14/33.24 tff(29682,plain,
% 50.14/33.24 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB17)) | (~v201(constB17)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB17)) | (~v201(constB17)))),
% 50.14/33.24 inference(rewrite,[status(thm)],[])).
% 50.14/33.24 tff(29683,plain,
% 50.14/33.24 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB17)) | (~v201(constB17)))),
% 50.14/33.24 inference(quant_inst,[status(thm)],[])).
% 50.14/33.24 tff(29684,plain,
% 50.14/33.24 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB17)) | (~v201(constB17))),
% 50.14/33.24 inference(modus_ponens,[status(thm)],[29683, 29682])).
% 50.14/33.24 tff(29685,plain,
% 50.14/33.24 (~v201(constB17)),
% 50.14/33.24 inference(unit_resolution,[status(thm)],[29684, 8823, 29630])).
% 50.14/33.24 tff(29686,plain,
% 50.14/33.24 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB17) | (~v197(constB17)) | v201(constB17))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB17) | (~v197(constB17)) | v201(constB17))),
% 50.14/33.24 inference(rewrite,[status(thm)],[])).
% 50.14/33.24 tff(29687,plain,
% 50.14/33.24 (((~v197(constB17)) | v201(constB17) | v227(constB17)) <=> (v227(constB17) | (~v197(constB17)) | v201(constB17))),
% 50.14/33.24 inference(rewrite,[status(thm)],[])).
% 50.14/33.24 tff(29688,plain,
% 50.14/33.24 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB17)) | v201(constB17) | v227(constB17))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB17) | (~v197(constB17)) | v201(constB17)))),
% 50.14/33.24 inference(monotonicity,[status(thm)],[29687])).
% 50.14/33.24 tff(29689,plain,
% 50.14/33.24 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB17)) | v201(constB17) | v227(constB17))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB17) | (~v197(constB17)) | v201(constB17))),
% 50.14/33.24 inference(transitivity,[status(thm)],[29688, 29686])).
% 50.14/33.24 tff(29690,plain,
% 50.14/33.24 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB17)) | v201(constB17) | v227(constB17))),
% 50.14/33.24 inference(quant_inst,[status(thm)],[])).
% 50.14/33.24 tff(29691,plain,
% 50.14/33.24 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB17) | (~v197(constB17)) | v201(constB17)),
% 50.14/33.24 inference(modus_ponens,[status(thm)],[29690, 29689])).
% 50.14/33.24 tff(29692,plain,
% 50.14/33.24 (v227(constB17)),
% 50.14/33.24 inference(unit_resolution,[status(thm)],[29691, 8848, 29634, 29685])).
% 50.14/33.24 tff(29693,plain,
% 50.14/33.24 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB17)) | (~v223(constB17, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB17)) | (~v223(constB17, bitIndex0)))),
% 50.14/33.24 inference(rewrite,[status(thm)],[])).
% 50.14/33.24 tff(29694,plain,
% 50.14/33.24 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB17)) | (~v223(constB17, bitIndex0)))),
% 50.14/33.24 inference(quant_inst,[status(thm)],[])).
% 50.14/33.24 tff(29695,plain,
% 50.14/33.24 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB17)) | (~v223(constB17, bitIndex0))),
% 50.14/33.24 inference(modus_ponens,[status(thm)],[29694, 29693])).
% 50.14/33.24 tff(29696,plain,
% 50.14/33.24 (~v223(constB17, bitIndex0)),
% 50.14/33.24 inference(unit_resolution,[status(thm)],[29695, 8862, 29692])).
% 50.14/33.24 tff(29697,plain,
% 50.14/33.24 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB17, bitIndex0) | v223(constB17, bitIndex1) | (~v229(constB17)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB17, bitIndex0) | v223(constB17, bitIndex1) | (~v229(constB17)))),
% 50.14/33.24 inference(rewrite,[status(thm)],[])).
% 50.14/33.24 tff(29698,plain,
% 50.14/33.24 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB17, bitIndex0) | v223(constB17, bitIndex1) | (~v229(constB17)))),
% 50.14/33.24 inference(quant_inst,[status(thm)],[])).
% 50.14/33.24 tff(29699,plain,
% 50.14/33.24 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB17, bitIndex0) | v223(constB17, bitIndex1) | (~v229(constB17))),
% 50.14/33.24 inference(modus_ponens,[status(thm)],[29698, 29697])).
% 50.14/33.24 tff(29700,plain,
% 50.14/33.24 (v223(constB17, bitIndex0) | (~v229(constB17))),
% 50.14/33.24 inference(unit_resolution,[status(thm)],[29699, 8915, 29669])).
% 50.14/33.24 tff(29701,plain,
% 50.14/33.24 (~v229(constB17)),
% 50.14/33.24 inference(unit_resolution,[status(thm)],[29700, 29696])).
% 50.14/33.24 tff(29702,plain,
% 50.14/33.24 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB17) | (~v225(constB17)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB17) | (~v225(constB17)))),
% 50.14/33.24 inference(rewrite,[status(thm)],[])).
% 50.14/33.24 tff(29703,plain,
% 50.14/33.24 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB17) | (~v225(constB17)))),
% 50.14/33.24 inference(quant_inst,[status(thm)],[])).
% 50.14/33.24 tff(29704,plain,
% 50.14/33.24 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB17) | (~v225(constB17))),
% 50.14/33.24 inference(modus_ponens,[status(thm)],[29703, 29702])).
% 50.14/33.24 tff(29705,plain,
% 50.14/33.24 (~v225(constB17)),
% 50.14/33.24 inference(unit_resolution,[status(thm)],[29704, 8929, 29701])).
% 50.14/33.24 tff(29706,plain,
% 50.14/33.24 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB17) | v223(constB17, bitIndex2) | (~v242(constB17)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v225(constB17) | v223(constB17, bitIndex2) | (~v242(constB17)))),
% 50.14/33.24 inference(rewrite,[status(thm)],[])).
% 50.14/33.24 tff(29707,plain,
% 50.14/33.24 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB17) | v223(constB17, bitIndex2) | (~v242(constB17)))),
% 50.14/33.24 inference(quant_inst,[status(thm)],[])).
% 50.14/33.24 tff(29708,plain,
% 50.14/33.24 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v225(constB17) | v223(constB17, bitIndex2) | (~v242(constB17))),
% 50.14/33.24 inference(modus_ponens,[status(thm)],[29707, 29706])).
% 50.14/33.24 tff(29709,plain,
% 50.14/33.24 (v225(constB17) | (~v242(constB17))),
% 50.14/33.24 inference(unit_resolution,[status(thm)],[29708, 10306, 29650])).
% 50.14/33.24 tff(29710,plain,
% 50.14/33.24 (~v242(constB17)),
% 50.14/33.24 inference(unit_resolution,[status(thm)],[29709, 29705])).
% 50.14/33.24 tff(29711,plain,
% 50.14/33.24 (((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB17) | (~v238(constB17)))) <=> ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB17) | (~v238(constB17)))),
% 50.14/33.24 inference(rewrite,[status(thm)],[])).
% 50.14/33.24 tff(29712,plain,
% 50.14/33.24 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB17) | (~v238(constB17)))),
% 50.14/33.24 inference(quant_inst,[status(thm)],[])).
% 50.14/33.24 tff(29713,plain,
% 50.14/33.24 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB17) | (~v238(constB17))),
% 50.14/33.24 inference(modus_ponens,[status(thm)],[29712, 29711])).
% 50.14/33.24 tff(29714,plain,
% 50.14/33.24 (~v238(constB17)),
% 50.14/33.24 inference(unit_resolution,[status(thm)],[29713, 10318, 29710])).
% 50.14/33.24 tff(29715,plain,
% 50.14/33.24 (((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB17) | (~v237(constB17)))) <=> ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB17) | (~v237(constB17)))),
% 50.14/33.24 inference(rewrite,[status(thm)],[])).
% 50.14/33.24 tff(29716,plain,
% 50.14/33.24 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB17) | (~v237(constB17)))),
% 50.14/33.24 inference(quant_inst,[status(thm)],[])).
% 50.14/33.24 tff(29717,plain,
% 50.14/33.24 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB17) | (~v237(constB17))),
% 50.14/33.24 inference(modus_ponens,[status(thm)],[29716, 29715])).
% 50.14/33.24 tff(29718,plain,
% 50.14/33.24 (~v237(constB17)),
% 50.14/33.24 inference(unit_resolution,[status(thm)],[29717, 10329, 29714])).
% 50.14/33.24 tff(29719,plain,
% 50.14/33.24 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB17) | v232(constB17) | (~v248(constB17)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB17) | v232(constB17) | (~v248(constB17)))),
% 50.14/33.24 inference(rewrite,[status(thm)],[])).
% 50.14/33.24 tff(29720,plain,
% 50.14/33.24 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB17) | v232(constB17) | (~v248(constB17)))),
% 50.14/33.24 inference(quant_inst,[status(thm)],[])).
% 50.14/33.24 tff(29721,plain,
% 50.14/33.24 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB17) | v232(constB17) | (~v248(constB17))),
% 50.14/33.24 inference(modus_ponens,[status(thm)],[29720, 29719])).
% 50.14/33.24 tff(29722,plain,
% 50.14/33.24 (~v248(constB17)),
% 50.14/33.24 inference(unit_resolution,[status(thm)],[29721, 9076, 29718, 29681])).
% 50.14/33.24 tff(29723,plain,
% 50.14/33.24 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB17) | (~v244(constB17)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB17) | (~v244(constB17)))),
% 50.14/33.24 inference(rewrite,[status(thm)],[])).
% 50.14/33.24 tff(29724,plain,
% 50.14/33.24 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB17) | (~v244(constB17)))),
% 50.14/33.24 inference(quant_inst,[status(thm)],[])).
% 50.14/33.24 tff(29725,plain,
% 50.14/33.24 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB17) | (~v244(constB17))),
% 50.14/33.24 inference(modus_ponens,[status(thm)],[29724, 29723])).
% 50.14/33.24 tff(29726,plain,
% 50.14/33.24 (~v244(constB17)),
% 50.14/33.24 inference(unit_resolution,[status(thm)],[29725, 11335, 29722])).
% 50.14/33.24 tff(29727,plain,
% 50.14/33.24 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB17) | (~v216(constB17, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB17) | (~v216(constB17, bitIndex1)))),
% 50.14/33.24 inference(rewrite,[status(thm)],[])).
% 50.14/33.24 tff(29728,plain,
% 50.14/33.24 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB17) | (~v216(constB17, bitIndex1)))),
% 50.14/33.24 inference(quant_inst,[status(thm)],[])).
% 50.14/33.24 tff(29729,plain,
% 50.14/33.24 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB17) | (~v216(constB17, bitIndex1))),
% 50.14/33.24 inference(modus_ponens,[status(thm)],[29728, 29727])).
% 50.14/33.24 tff(29730,plain,
% 50.14/33.24 (~v216(constB17, bitIndex1)),
% 50.14/33.24 inference(unit_resolution,[status(thm)],[29729, 11346, 29726])).
% 50.14/33.24 tff(29731,plain,
% 50.14/33.24 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | ((~v254(constB17)) | v216(constB17, bitIndex1))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB17)) | v216(constB17, bitIndex1))),
% 50.14/33.24 inference(rewrite,[status(thm)],[])).
% 50.14/33.24 tff(29732,plain,
% 50.14/33.24 ((v216(constB17, bitIndex1) | (~v254(constB17))) <=> ((~v254(constB17)) | v216(constB17, bitIndex1))),
% 50.14/33.24 inference(rewrite,[status(thm)],[])).
% 50.14/33.24 tff(29733,plain,
% 50.14/33.24 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB17, bitIndex1) | (~v254(constB17)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | ((~v254(constB17)) | v216(constB17, bitIndex1)))),
% 50.14/33.24 inference(monotonicity,[status(thm)],[29732])).
% 50.14/33.24 tff(29734,plain,
% 50.14/33.24 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB17, bitIndex1) | (~v254(constB17)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB17)) | v216(constB17, bitIndex1))),
% 50.14/33.24 inference(transitivity,[status(thm)],[29733, 29731])).
% 50.14/33.24 tff(29735,plain,
% 50.14/33.24 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB17, bitIndex1) | (~v254(constB17)))),
% 50.14/33.24 inference(quant_inst,[status(thm)],[])).
% 50.14/33.24 tff(29736,plain,
% 50.14/33.24 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB17)) | v216(constB17, bitIndex1)),
% 50.14/33.24 inference(modus_ponens,[status(thm)],[29735, 29734])).
% 50.14/33.24 tff(29737,plain,
% 50.14/33.24 (~v254(constB17)),
% 50.14/33.24 inference(unit_resolution,[status(thm)],[29736, 11357, 29730])).
% 50.14/33.24 tff(29738,plain,
% 50.14/33.24 (((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB17) | (~v231(constB17)))) <=> ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB17) | (~v231(constB17)))),
% 50.14/33.24 inference(rewrite,[status(thm)],[])).
% 50.14/33.24 tff(29739,plain,
% 50.14/33.24 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB17) | (~v231(constB17)))),
% 50.14/33.24 inference(quant_inst,[status(thm)],[])).
% 50.14/33.24 tff(29740,plain,
% 50.14/33.24 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB17) | (~v231(constB17))),
% 50.14/33.24 inference(modus_ponens,[status(thm)],[29739, 29738])).
% 50.14/33.24 tff(29741,plain,
% 50.14/33.24 (~v231(constB17)),
% 50.14/33.24 inference(unit_resolution,[status(thm)],[29740, 24684, 29681])).
% 50.14/33.24 tff(29742,plain,
% 50.14/33.24 (((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB17) | (~v221(constB17)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB17) | (~v221(constB17)))),
% 50.14/33.24 inference(rewrite,[status(thm)],[])).
% 50.14/33.24 tff(29743,plain,
% 50.14/33.24 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB17) | (~v221(constB17)))),
% 50.14/33.24 inference(quant_inst,[status(thm)],[])).
% 50.14/33.24 tff(29744,plain,
% 50.14/33.24 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB17) | (~v221(constB17))),
% 50.14/33.24 inference(modus_ponens,[status(thm)],[29743, 29742])).
% 50.14/33.24 tff(29745,plain,
% 50.14/33.24 (~v221(constB17)),
% 50.14/33.24 inference(unit_resolution,[status(thm)],[29744, 11192, 29673])).
% 50.14/33.24 tff(29746,plain,
% 50.14/33.24 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB17) | v231(constB17) | (~v243(constB17)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB17) | v231(constB17) | (~v243(constB17)))),
% 50.14/33.24 inference(rewrite,[status(thm)],[])).
% 50.14/33.24 tff(29747,plain,
% 50.14/33.24 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB17) | v231(constB17) | (~v243(constB17)))),
% 50.14/33.24 inference(quant_inst,[status(thm)],[])).
% 50.14/33.24 tff(29748,plain,
% 50.14/33.24 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB17) | v231(constB17) | (~v243(constB17))),
% 50.14/33.24 inference(modus_ponens,[status(thm)],[29747, 29746])).
% 50.14/33.24 tff(29749,plain,
% 50.14/33.24 (v231(constB17) | (~v243(constB17))),
% 50.14/33.24 inference(unit_resolution,[status(thm)],[29748, 11206, 29745])).
% 50.14/33.24 tff(29750,plain,
% 50.14/33.24 (~v243(constB17)),
% 50.14/33.24 inference(unit_resolution,[status(thm)],[29749, 29741])).
% 50.14/33.24 tff(29751,plain,
% 50.14/33.24 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB17) | v255(constB17))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB17) | v255(constB17))),
% 50.14/33.24 inference(rewrite,[status(thm)],[])).
% 50.14/33.24 tff(29752,plain,
% 50.14/33.24 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB17) | v255(constB17))),
% 50.14/33.24 inference(quant_inst,[status(thm)],[])).
% 50.14/33.24 tff(29753,plain,
% 50.14/33.24 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB17) | v255(constB17)),
% 50.14/33.24 inference(modus_ponens,[status(thm)],[29752, 29751])).
% 50.14/33.24 tff(29754,plain,
% 50.14/33.24 (v255(constB17)),
% 50.14/33.24 inference(unit_resolution,[status(thm)],[29753, 11222, 29750])).
% 50.14/33.24 tff(29755,plain,
% 50.14/33.24 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB17)) | (~v216(constB17, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB17)) | (~v216(constB17, bitIndex2)))),
% 50.14/33.24 inference(rewrite,[status(thm)],[])).
% 50.14/33.24 tff(29756,plain,
% 50.14/33.24 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB17)) | (~v216(constB17, bitIndex2)))),
% 50.14/33.24 inference(quant_inst,[status(thm)],[])).
% 50.14/33.24 tff(29757,plain,
% 50.14/33.24 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB17)) | (~v216(constB17, bitIndex2))),
% 50.14/33.24 inference(modus_ponens,[status(thm)],[29756, 29755])).
% 50.14/33.24 tff(29758,plain,
% 50.14/33.24 (~v216(constB17, bitIndex2)),
% 50.14/33.24 inference(unit_resolution,[status(thm)],[29757, 11237, 29754])).
% 50.14/33.24 tff(29759,plain,
% 50.14/33.24 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v254(constB17) | v216(constB17, bitIndex2) | (~v215(constB17)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB17) | v216(constB17, bitIndex2) | (~v215(constB17)))),
% 50.14/33.24 inference(rewrite,[status(thm)],[])).
% 50.14/33.24 tff(29760,plain,
% 50.14/33.24 ((v216(constB17, bitIndex2) | v254(constB17) | (~v215(constB17))) <=> (v254(constB17) | v216(constB17, bitIndex2) | (~v215(constB17)))),
% 50.14/33.24 inference(rewrite,[status(thm)],[])).
% 50.14/33.24 tff(29761,plain,
% 50.14/33.24 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB17, bitIndex2) | v254(constB17) | (~v215(constB17)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v254(constB17) | v216(constB17, bitIndex2) | (~v215(constB17))))),
% 50.14/33.25 inference(monotonicity,[status(thm)],[29760])).
% 50.14/33.25 tff(29762,plain,
% 50.14/33.25 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB17, bitIndex2) | v254(constB17) | (~v215(constB17)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB17) | v216(constB17, bitIndex2) | (~v215(constB17)))),
% 50.14/33.25 inference(transitivity,[status(thm)],[29761, 29759])).
% 50.14/33.25 tff(29763,plain,
% 50.14/33.25 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB17, bitIndex2) | v254(constB17) | (~v215(constB17)))),
% 50.14/33.25 inference(quant_inst,[status(thm)],[])).
% 50.14/33.25 tff(29764,plain,
% 50.14/33.25 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB17) | v216(constB17, bitIndex2) | (~v215(constB17))),
% 50.14/33.25 inference(modus_ponens,[status(thm)],[29763, 29762])).
% 50.14/33.25 tff(29765,plain,
% 50.14/33.25 (~v215(constB17)),
% 50.14/33.25 inference(unit_resolution,[status(thm)],[29764, 11278, 29758, 29737])).
% 50.14/33.25 tff(29766,plain,
% 50.14/33.25 ($false),
% 50.14/33.25 inference(unit_resolution,[status(thm)],[29765, 29593])).
% 50.14/33.25 tff(29767,plain,(~(constB17 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.14/33.25 tff(29768,assumption,(constB161 = sK0_VarCurr), introduced(assumption)).
% 50.14/33.25 tff(29769,plain,
% 50.14/33.25 (v215(constB161) <=> v215(sK0_VarCurr)),
% 50.14/33.25 inference(monotonicity,[status(thm)],[29768])).
% 50.14/33.25 tff(29770,plain,
% 50.14/33.25 (v215(sK0_VarCurr) <=> v215(constB161)),
% 50.14/33.25 inference(symmetry,[status(thm)],[29769])).
% 50.14/33.25 tff(29771,plain,
% 50.14/33.25 (v215(constB161)),
% 50.14/33.25 inference(modus_ponens,[status(thm)],[11268, 29770])).
% 50.14/33.25 tff(29772,plain,
% 50.14/33.25 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB161, bitIndex2) | (~v88(constB161, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB161, bitIndex2) | (~v88(constB161, bitIndex2)))),
% 50.14/33.25 inference(rewrite,[status(thm)],[])).
% 50.14/33.25 tff(29773,plain,
% 50.14/33.25 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB161, bitIndex2) | (~v88(constB161, bitIndex2)))),
% 50.14/33.25 inference(quant_inst,[status(thm)],[])).
% 50.14/33.25 tff(29774,plain,
% 50.14/33.25 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB161, bitIndex2) | (~v88(constB161, bitIndex2))),
% 50.14/33.25 inference(modus_ponens,[status(thm)],[29773, 29772])).
% 50.14/33.25 tff(29775,plain,
% 50.14/33.25 (~v88(constB161, bitIndex2)),
% 50.14/33.25 inference(unit_resolution,[status(thm)],[29774, 8769, 21710])).
% 50.14/33.25 tff(29776,plain,
% 50.14/33.25 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB161, bitIndex1)) | v88(constB161, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB161, bitIndex1)) | v88(constB161, bitIndex1))),
% 50.14/33.25 inference(rewrite,[status(thm)],[])).
% 50.14/33.25 tff(29777,plain,
% 50.14/33.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB161, bitIndex1)) | v88(constB161, bitIndex1))),
% 50.14/33.25 inference(quant_inst,[status(thm)],[])).
% 50.14/33.25 tff(29778,plain,
% 50.14/33.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB161, bitIndex1)) | v88(constB161, bitIndex1)),
% 50.14/33.25 inference(modus_ponens,[status(thm)],[29777, 29776])).
% 50.14/33.25 tff(29779,plain,
% 50.14/33.25 (v88(constB161, bitIndex1)),
% 50.14/33.25 inference(unit_resolution,[status(thm)],[29778, 8707, 21741])).
% 50.14/33.25 tff(29780,plain,
% 50.14/33.25 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB161, bitIndex0)) | v88(constB161, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB161, bitIndex0)) | v88(constB161, bitIndex0))),
% 50.14/33.25 inference(rewrite,[status(thm)],[])).
% 50.14/33.25 tff(29781,plain,
% 50.14/33.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB161, bitIndex0)) | v88(constB161, bitIndex0))),
% 50.14/33.25 inference(quant_inst,[status(thm)],[])).
% 50.14/33.25 tff(29782,plain,
% 50.14/33.25 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB161, bitIndex0)) | v88(constB161, bitIndex0)),
% 50.14/33.25 inference(modus_ponens,[status(thm)],[29781, 29780])).
% 50.14/33.25 tff(29783,plain,
% 50.14/33.25 (v88(constB161, bitIndex0)),
% 50.14/33.25 inference(unit_resolution,[status(thm)],[29782, 8662, 21772])).
% 50.14/33.25 tff(29784,plain,
% 50.14/33.25 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB161, bitIndex1)) | v88(constB161, bitIndex2) | (~v88(constB161, bitIndex0)) | v141(constB161))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB161, bitIndex1)) | v88(constB161, bitIndex2) | (~v88(constB161, bitIndex0)) | v141(constB161))),
% 50.14/33.25 inference(rewrite,[status(thm)],[])).
% 50.14/33.25 tff(29785,plain,
% 50.14/33.25 ((v88(constB161, bitIndex2) | (~v88(constB161, bitIndex1)) | (~v88(constB161, bitIndex0)) | v141(constB161)) <=> ((~v88(constB161, bitIndex1)) | v88(constB161, bitIndex2) | (~v88(constB161, bitIndex0)) | v141(constB161))),
% 50.14/33.25 inference(rewrite,[status(thm)],[])).
% 50.14/33.25 tff(29786,plain,
% 50.14/33.25 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB161, bitIndex2) | (~v88(constB161, bitIndex1)) | (~v88(constB161, bitIndex0)) | v141(constB161))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB161, bitIndex1)) | v88(constB161, bitIndex2) | (~v88(constB161, bitIndex0)) | v141(constB161)))),
% 50.14/33.25 inference(monotonicity,[status(thm)],[29785])).
% 50.14/33.25 tff(29787,plain,
% 50.14/33.25 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB161, bitIndex2) | (~v88(constB161, bitIndex1)) | (~v88(constB161, bitIndex0)) | v141(constB161))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB161, bitIndex1)) | v88(constB161, bitIndex2) | (~v88(constB161, bitIndex0)) | v141(constB161))),
% 50.14/33.25 inference(transitivity,[status(thm)],[29786, 29784])).
% 50.14/33.25 tff(29788,plain,
% 50.14/33.25 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB161, bitIndex2) | (~v88(constB161, bitIndex1)) | (~v88(constB161, bitIndex0)) | v141(constB161))),
% 50.14/33.25 inference(quant_inst,[status(thm)],[])).
% 50.14/33.25 tff(29789,plain,
% 50.14/33.25 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB161, bitIndex1)) | v88(constB161, bitIndex2) | (~v88(constB161, bitIndex0)) | v141(constB161)),
% 50.14/33.25 inference(modus_ponens,[status(thm)],[29788, 29787])).
% 50.14/33.25 tff(29790,plain,
% 50.14/33.25 (v141(constB161)),
% 50.14/33.25 inference(unit_resolution,[status(thm)],[29789, 8783, 29783, 29779, 29775])).
% 50.14/33.25 tff(29791,plain,
% 50.14/33.25 (((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB161) | (~v141(constB161)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB161) | (~v141(constB161)))),
% 50.14/33.25 inference(rewrite,[status(thm)],[])).
% 50.14/33.25 tff(29792,plain,
% 50.14/33.25 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB161) | (~v141(constB161)))),
% 50.14/33.25 inference(quant_inst,[status(thm)],[])).
% 50.14/33.25 tff(29793,plain,
% 50.14/33.25 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB161) | (~v141(constB161))),
% 50.14/33.25 inference(modus_ponens,[status(thm)],[29792, 29791])).
% 50.14/33.25 tff(29794,plain,
% 50.14/33.25 (v199(constB161)),
% 50.14/33.25 inference(unit_resolution,[status(thm)],[29793, 8798, 29790])).
% 50.14/33.25 tff(29795,plain,
% 50.14/33.25 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB161) | (~v199(constB161)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB161) | (~v199(constB161)))),
% 50.14/33.25 inference(rewrite,[status(thm)],[])).
% 50.14/33.25 tff(29796,plain,
% 50.14/33.25 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB161) | (~v199(constB161)))),
% 50.14/33.25 inference(quant_inst,[status(thm)],[])).
% 50.14/33.25 tff(29797,plain,
% 50.14/33.25 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB161) | (~v199(constB161))),
% 50.14/33.25 inference(modus_ponens,[status(thm)],[29796, 29795])).
% 50.14/33.25 tff(29798,plain,
% 50.14/33.25 (v198(constB161)),
% 50.14/33.25 inference(unit_resolution,[status(thm)],[29797, 8809, 29794])).
% 50.14/33.25 tff(29799,plain,
% 50.14/33.25 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB161)) | (~v201(constB161)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB161)) | (~v201(constB161)))),
% 50.14/33.25 inference(rewrite,[status(thm)],[])).
% 50.14/33.25 tff(29800,plain,
% 50.14/33.25 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB161)) | (~v201(constB161)))),
% 50.14/33.25 inference(quant_inst,[status(thm)],[])).
% 50.14/33.25 tff(29801,plain,
% 50.14/33.25 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB161)) | (~v201(constB161))),
% 50.14/33.25 inference(modus_ponens,[status(thm)],[29800, 29799])).
% 50.14/33.25 tff(29802,plain,
% 50.14/33.25 (~v201(constB161)),
% 50.14/33.25 inference(unit_resolution,[status(thm)],[29801, 8823, 29798])).
% 50.14/33.25 tff(29803,plain,
% 50.14/33.25 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB161) | (~v198(constB161)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB161) | (~v198(constB161)))),
% 50.14/33.25 inference(rewrite,[status(thm)],[])).
% 50.14/33.25 tff(29804,plain,
% 50.14/33.25 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB161) | (~v198(constB161)))),
% 50.14/33.25 inference(quant_inst,[status(thm)],[])).
% 50.14/33.25 tff(29805,plain,
% 50.14/33.25 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB161) | (~v198(constB161))),
% 50.14/33.25 inference(modus_ponens,[status(thm)],[29804, 29803])).
% 50.14/33.25 tff(29806,plain,
% 50.14/33.25 (v197(constB161)),
% 50.14/33.25 inference(unit_resolution,[status(thm)],[29805, 8834, 29798])).
% 50.14/33.25 tff(29807,plain,
% 50.14/33.25 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB161) | (~v197(constB161)) | v201(constB161))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB161) | (~v197(constB161)) | v201(constB161))),
% 50.14/33.25 inference(rewrite,[status(thm)],[])).
% 50.14/33.25 tff(29808,plain,
% 50.14/33.25 (((~v197(constB161)) | v201(constB161) | v227(constB161)) <=> (v227(constB161) | (~v197(constB161)) | v201(constB161))),
% 50.14/33.25 inference(rewrite,[status(thm)],[])).
% 50.14/33.25 tff(29809,plain,
% 50.14/33.25 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB161)) | v201(constB161) | v227(constB161))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB161) | (~v197(constB161)) | v201(constB161)))),
% 50.14/33.25 inference(monotonicity,[status(thm)],[29808])).
% 50.14/33.25 tff(29810,plain,
% 50.14/33.25 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB161)) | v201(constB161) | v227(constB161))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB161) | (~v197(constB161)) | v201(constB161))),
% 50.14/33.25 inference(transitivity,[status(thm)],[29809, 29807])).
% 50.14/33.25 tff(29811,plain,
% 50.14/33.25 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB161)) | v201(constB161) | v227(constB161))),
% 50.14/33.25 inference(quant_inst,[status(thm)],[])).
% 50.14/33.25 tff(29812,plain,
% 50.14/33.25 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB161) | (~v197(constB161)) | v201(constB161)),
% 50.14/33.25 inference(modus_ponens,[status(thm)],[29811, 29810])).
% 50.14/33.25 tff(29813,plain,
% 50.14/33.25 (v227(constB161)),
% 50.14/33.25 inference(unit_resolution,[status(thm)],[29812, 8848, 29806, 29802])).
% 50.14/33.25 tff(29814,plain,
% 50.14/33.25 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB161)) | (~v223(constB161, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB161)) | (~v223(constB161, bitIndex0)))),
% 50.14/33.25 inference(rewrite,[status(thm)],[])).
% 50.14/33.25 tff(29815,plain,
% 50.14/33.25 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB161)) | (~v223(constB161, bitIndex0)))),
% 50.14/33.25 inference(quant_inst,[status(thm)],[])).
% 50.14/33.25 tff(29816,plain,
% 50.14/33.25 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB161)) | (~v223(constB161, bitIndex0))),
% 50.14/33.25 inference(modus_ponens,[status(thm)],[29815, 29814])).
% 50.14/33.25 tff(29817,plain,
% 50.14/33.25 (~v223(constB161, bitIndex0)),
% 50.14/33.25 inference(unit_resolution,[status(thm)],[29816, 8862, 29813])).
% 50.14/33.25 tff(29818,plain,
% 50.14/33.25 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB161)) | (~v199(constB161)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB161)) | (~v199(constB161)))),
% 50.14/33.25 inference(rewrite,[status(thm)],[])).
% 50.14/33.25 tff(29819,plain,
% 50.14/33.25 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB161)) | (~v199(constB161)))),
% 50.14/33.25 inference(quant_inst,[status(thm)],[])).
% 50.14/33.25 tff(29820,plain,
% 50.14/33.25 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB161)) | (~v199(constB161))),
% 50.14/33.25 inference(modus_ponens,[status(thm)],[29819, 29818])).
% 50.14/33.25 tff(29821,plain,
% 50.14/33.25 (~v183(constB161)),
% 50.14/33.25 inference(unit_resolution,[status(thm)],[29820, 8873, 29794])).
% 50.14/33.25 tff(29822,plain,
% 50.14/33.25 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB161) | (~v197(constB161)) | v183(constB161))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB161) | (~v197(constB161)) | v183(constB161))),
% 50.14/33.25 inference(rewrite,[status(thm)],[])).
% 50.14/33.25 tff(29823,plain,
% 50.14/33.25 (((~v197(constB161)) | v183(constB161) | v228(constB161)) <=> (v228(constB161) | (~v197(constB161)) | v183(constB161))),
% 50.14/33.25 inference(rewrite,[status(thm)],[])).
% 50.14/33.25 tff(29824,plain,
% 50.14/33.25 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB161)) | v183(constB161) | v228(constB161))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB161) | (~v197(constB161)) | v183(constB161)))),
% 50.14/33.25 inference(monotonicity,[status(thm)],[29823])).
% 50.14/33.25 tff(29825,plain,
% 50.14/33.25 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB161)) | v183(constB161) | v228(constB161))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB161) | (~v197(constB161)) | v183(constB161))),
% 50.14/33.25 inference(transitivity,[status(thm)],[29824, 29822])).
% 50.14/33.25 tff(29826,plain,
% 50.14/33.25 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB161)) | v183(constB161) | v228(constB161))),
% 50.14/33.25 inference(quant_inst,[status(thm)],[])).
% 50.14/33.25 tff(29827,plain,
% 50.14/33.25 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB161) | (~v197(constB161)) | v183(constB161)),
% 50.14/33.25 inference(modus_ponens,[status(thm)],[29826, 29825])).
% 50.14/33.25 tff(29828,plain,
% 50.14/33.25 (v228(constB161)),
% 50.14/33.25 inference(unit_resolution,[status(thm)],[29827, 8887, 29806, 29821])).
% 50.14/33.25 tff(29829,plain,
% 50.14/33.25 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB161)) | (~v223(constB161, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB161)) | (~v223(constB161, bitIndex1)))),
% 50.14/33.25 inference(rewrite,[status(thm)],[])).
% 50.14/33.25 tff(29830,plain,
% 50.14/33.25 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB161)) | (~v223(constB161, bitIndex1)))),
% 50.14/33.25 inference(quant_inst,[status(thm)],[])).
% 50.14/33.25 tff(29831,plain,
% 50.14/33.25 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB161)) | (~v223(constB161, bitIndex1))),
% 50.14/33.25 inference(modus_ponens,[status(thm)],[29830, 29829])).
% 50.14/33.25 tff(29832,plain,
% 50.14/33.25 (~v223(constB161, bitIndex1)),
% 50.14/33.25 inference(unit_resolution,[status(thm)],[29831, 8901, 29828])).
% 50.14/33.25 tff(29833,plain,
% 50.14/33.25 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB161, bitIndex1) | v223(constB161, bitIndex0) | (~v229(constB161)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB161, bitIndex1) | v223(constB161, bitIndex0) | (~v229(constB161)))),
% 50.14/33.25 inference(rewrite,[status(thm)],[])).
% 50.14/33.25 tff(29834,plain,
% 50.14/33.25 ((v223(constB161, bitIndex0) | v223(constB161, bitIndex1) | (~v229(constB161))) <=> (v223(constB161, bitIndex1) | v223(constB161, bitIndex0) | (~v229(constB161)))),
% 50.14/33.25 inference(rewrite,[status(thm)],[])).
% 50.14/33.25 tff(29835,plain,
% 50.14/33.25 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB161, bitIndex0) | v223(constB161, bitIndex1) | (~v229(constB161)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB161, bitIndex1) | v223(constB161, bitIndex0) | (~v229(constB161))))),
% 50.14/33.25 inference(monotonicity,[status(thm)],[29834])).
% 50.14/33.25 tff(29836,plain,
% 50.14/33.25 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB161, bitIndex0) | v223(constB161, bitIndex1) | (~v229(constB161)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB161, bitIndex1) | v223(constB161, bitIndex0) | (~v229(constB161)))),
% 50.14/33.25 inference(transitivity,[status(thm)],[29835, 29833])).
% 50.14/33.25 tff(29837,plain,
% 50.14/33.25 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB161, bitIndex0) | v223(constB161, bitIndex1) | (~v229(constB161)))),
% 50.14/33.25 inference(quant_inst,[status(thm)],[])).
% 50.14/33.25 tff(29838,plain,
% 50.14/33.25 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB161, bitIndex1) | v223(constB161, bitIndex0) | (~v229(constB161))),
% 50.14/33.25 inference(modus_ponens,[status(thm)],[29837, 29836])).
% 50.14/33.25 tff(29839,plain,
% 50.14/33.25 (~v229(constB161)),
% 50.14/33.25 inference(unit_resolution,[status(thm)],[29838, 8915, 29832, 29817])).
% 50.14/33.25 tff(29840,plain,
% 50.14/33.25 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB161) | (~v225(constB161)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB161) | (~v225(constB161)))),
% 50.14/33.25 inference(rewrite,[status(thm)],[])).
% 50.14/33.25 tff(29841,plain,
% 50.14/33.25 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB161) | (~v225(constB161)))),
% 50.14/33.25 inference(quant_inst,[status(thm)],[])).
% 50.14/33.25 tff(29842,plain,
% 50.14/33.25 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB161) | (~v225(constB161))),
% 50.14/33.25 inference(modus_ponens,[status(thm)],[29841, 29840])).
% 50.14/33.25 tff(29843,plain,
% 50.14/33.25 (~v225(constB161)),
% 50.14/33.25 inference(unit_resolution,[status(thm)],[29842, 8929, 29839])).
% 50.14/33.25 tff(29844,plain,
% 50.14/33.25 (((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB161) | (~v224(constB161)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB161) | (~v224(constB161)))),
% 50.14/33.25 inference(rewrite,[status(thm)],[])).
% 50.14/33.25 tff(29845,plain,
% 50.14/33.25 ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB161) | (~v224(constB161)))),
% 50.14/33.25 inference(quant_inst,[status(thm)],[])).
% 50.14/33.25 tff(29846,plain,
% 50.14/33.25 ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB161) | (~v224(constB161))),
% 50.14/33.25 inference(modus_ponens,[status(thm)],[29845, 29844])).
% 50.14/33.25 tff(29847,plain,
% 50.14/33.25 (~v224(constB161)),
% 50.14/33.25 inference(unit_resolution,[status(thm)],[29846, 8940, 29843])).
% 50.14/33.25 tff(29848,plain,
% 50.14/33.25 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB161)) | v223(constB161, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB161)) | v223(constB161, bitIndex1))),
% 50.14/33.25 inference(rewrite,[status(thm)],[])).
% 50.14/33.25 tff(29849,plain,
% 50.14/33.25 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB161)) | v223(constB161, bitIndex1))),
% 50.14/33.25 inference(quant_inst,[status(thm)],[])).
% 50.14/33.25 tff(29850,plain,
% 50.14/33.25 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB161)) | v223(constB161, bitIndex1)),
% 50.14/33.25 inference(modus_ponens,[status(thm)],[29849, 29848])).
% 50.14/33.25 tff(29851,plain,
% 50.14/33.25 (~v222(constB161)),
% 50.14/33.25 inference(unit_resolution,[status(thm)],[29850, 8954, 29832])).
% 50.14/33.25 tff(29852,plain,
% 50.14/33.25 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB161) | v224(constB161) | (~v236(constB161)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB161) | v224(constB161) | (~v236(constB161)))),
% 50.14/33.25 inference(rewrite,[status(thm)],[])).
% 50.14/33.25 tff(29853,plain,
% 50.14/33.25 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB161) | v224(constB161) | (~v236(constB161)))),
% 50.14/33.25 inference(quant_inst,[status(thm)],[])).
% 50.14/33.25 tff(29854,plain,
% 50.14/33.25 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB161) | v224(constB161) | (~v236(constB161))),
% 50.14/33.25 inference(modus_ponens,[status(thm)],[29853, 29852])).
% 50.14/33.25 tff(29855,plain,
% 50.14/33.25 (v224(constB161) | (~v236(constB161))),
% 50.14/33.25 inference(unit_resolution,[status(thm)],[29854, 8968, 29851])).
% 50.14/33.25 tff(29856,plain,
% 50.14/33.25 (~v236(constB161)),
% 50.14/33.25 inference(unit_resolution,[status(thm)],[29855, 29847])).
% 50.14/33.25 tff(29857,plain,
% 50.14/33.25 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB161) | (~v232(constB161)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB161) | (~v232(constB161)))),
% 50.14/33.25 inference(rewrite,[status(thm)],[])).
% 50.14/33.25 tff(29858,plain,
% 50.14/33.25 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB161) | (~v232(constB161)))),
% 50.14/33.25 inference(quant_inst,[status(thm)],[])).
% 50.14/33.25 tff(29859,plain,
% 50.14/33.25 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB161) | (~v232(constB161))),
% 50.14/33.25 inference(modus_ponens,[status(thm)],[29858, 29857])).
% 50.14/33.25 tff(29860,plain,
% 50.14/33.25 (~v232(constB161)),
% 50.14/33.25 inference(unit_resolution,[status(thm)],[29859, 8980, 29856])).
% 50.14/33.25 tff(29861,plain,
% 50.14/33.25 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB161, bitIndex1)) | (~v140(constB161)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB161, bitIndex1)) | (~v140(constB161)))),
% 50.14/33.25 inference(rewrite,[status(thm)],[])).
% 50.14/33.25 tff(29862,plain,
% 50.14/33.25 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB161, bitIndex1)) | (~v140(constB161)))),
% 50.14/33.25 inference(quant_inst,[status(thm)],[])).
% 50.14/33.25 tff(29863,plain,
% 50.14/33.25 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB161, bitIndex1)) | (~v140(constB161))),
% 50.14/33.25 inference(modus_ponens,[status(thm)],[29862, 29861])).
% 50.14/33.25 tff(29864,plain,
% 50.14/33.25 (~v140(constB161)),
% 50.14/33.25 inference(unit_resolution,[status(thm)],[29863, 9002, 29779])).
% 50.14/33.25 tff(29865,plain,
% 50.14/33.25 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB161, bitIndex0)) | (~v139(constB161)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB161, bitIndex0)) | (~v139(constB161)))),
% 50.14/33.25 inference(rewrite,[status(thm)],[])).
% 50.14/33.25 tff(29866,plain,
% 50.14/33.25 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB161, bitIndex0)) | (~v139(constB161)))),
% 50.14/33.25 inference(quant_inst,[status(thm)],[])).
% 50.14/33.25 tff(29867,plain,
% 50.14/33.25 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB161, bitIndex0)) | (~v139(constB161))),
% 50.14/33.25 inference(modus_ponens,[status(thm)],[29866, 29865])).
% 50.14/33.25 tff(29868,plain,
% 50.14/33.25 (~v139(constB161)),
% 50.14/33.25 inference(unit_resolution,[status(thm)],[29867, 8991, 29783])).
% 50.14/33.25 tff(29869,plain,
% 50.14/33.25 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v139(constB161) | v140(constB161) | (~v148(constB161)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v139(constB161) | v140(constB161) | (~v148(constB161)))),
% 50.14/33.25 inference(rewrite,[status(thm)],[])).
% 50.14/33.25 tff(29870,plain,
% 50.14/33.25 ((v140(constB161) | v139(constB161) | (~v148(constB161))) <=> (v139(constB161) | v140(constB161) | (~v148(constB161)))),
% 50.14/33.25 inference(rewrite,[status(thm)],[])).
% 50.14/33.25 tff(29871,plain,
% 50.14/33.25 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB161) | v139(constB161) | (~v148(constB161)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v139(constB161) | v140(constB161) | (~v148(constB161))))),
% 50.14/33.25 inference(monotonicity,[status(thm)],[29870])).
% 50.14/33.25 tff(29872,plain,
% 50.14/33.25 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB161) | v139(constB161) | (~v148(constB161)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v139(constB161) | v140(constB161) | (~v148(constB161)))),
% 50.14/33.25 inference(transitivity,[status(thm)],[29871, 29869])).
% 50.14/33.25 tff(29873,plain,
% 50.14/33.25 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB161) | v139(constB161) | (~v148(constB161)))),
% 50.14/33.25 inference(quant_inst,[status(thm)],[])).
% 50.14/33.25 tff(29874,plain,
% 50.14/33.25 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v139(constB161) | v140(constB161) | (~v148(constB161))),
% 50.14/33.25 inference(modus_ponens,[status(thm)],[29873, 29872])).
% 50.14/33.25 tff(29875,plain,
% 50.14/33.25 (~v148(constB161)),
% 50.14/33.25 inference(unit_resolution,[status(thm)],[29874, 9016, 29868, 29864])).
% 50.14/33.25 tff(29876,plain,
% 50.14/33.25 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB161) | (~v197(constB161)) | v148(constB161))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB161) | (~v197(constB161)) | v148(constB161))),
% 50.14/33.25 inference(rewrite,[status(thm)],[])).
% 50.14/33.25 tff(29877,plain,
% 50.14/33.25 ((v148(constB161) | (~v197(constB161)) | v252(constB161)) <=> (v252(constB161) | (~v197(constB161)) | v148(constB161))),
% 50.14/33.25 inference(rewrite,[status(thm)],[])).
% 50.14/33.25 tff(29878,plain,
% 50.14/33.25 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB161) | (~v197(constB161)) | v252(constB161))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB161) | (~v197(constB161)) | v148(constB161)))),
% 50.14/33.25 inference(monotonicity,[status(thm)],[29877])).
% 50.14/33.25 tff(29879,plain,
% 50.14/33.25 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB161) | (~v197(constB161)) | v252(constB161))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB161) | (~v197(constB161)) | v148(constB161))),
% 50.14/33.25 inference(transitivity,[status(thm)],[29878, 29876])).
% 50.14/33.25 tff(29880,plain,
% 50.14/33.25 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB161) | (~v197(constB161)) | v252(constB161))),
% 50.14/33.25 inference(quant_inst,[status(thm)],[])).
% 50.14/33.25 tff(29881,plain,
% 50.14/33.25 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB161) | (~v197(constB161)) | v148(constB161)),
% 50.14/33.25 inference(modus_ponens,[status(thm)],[29880, 29879])).
% 50.14/33.25 tff(29882,plain,
% 50.14/33.25 (v252(constB161) | (~v197(constB161))),
% 50.14/33.25 inference(unit_resolution,[status(thm)],[29881, 9033, 29875])).
% 50.14/33.25 tff(29883,plain,
% 50.14/33.25 (v252(constB161)),
% 50.14/33.25 inference(unit_resolution,[status(thm)],[29882, 29806])).
% 50.14/33.25 tff(29884,plain,
% 50.14/33.25 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB161)) | (~v223(constB161, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB161)) | (~v223(constB161, bitIndex3)))),
% 50.14/33.25 inference(rewrite,[status(thm)],[])).
% 50.14/33.25 tff(29885,plain,
% 50.14/33.25 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB161)) | (~v223(constB161, bitIndex3)))),
% 50.14/33.25 inference(quant_inst,[status(thm)],[])).
% 50.14/33.25 tff(29886,plain,
% 50.14/33.25 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB161)) | (~v223(constB161, bitIndex3))),
% 50.14/33.25 inference(modus_ponens,[status(thm)],[29885, 29884])).
% 50.14/33.25 tff(29887,plain,
% 50.14/33.25 (~v223(constB161, bitIndex3)),
% 50.14/33.25 inference(unit_resolution,[status(thm)],[29886, 9048, 29883])).
% 50.14/33.25 tff(29888,plain,
% 50.14/33.25 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB161)) | v223(constB161, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB161)) | v223(constB161, bitIndex3))),
% 50.14/33.25 inference(rewrite,[status(thm)],[])).
% 50.14/33.25 tff(29889,plain,
% 50.14/33.25 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB161)) | v223(constB161, bitIndex3))),
% 50.14/33.25 inference(quant_inst,[status(thm)],[])).
% 50.14/33.25 tff(29890,plain,
% 50.14/33.25 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB161)) | v223(constB161, bitIndex3)),
% 50.14/33.25 inference(modus_ponens,[status(thm)],[29889, 29888])).
% 50.14/33.25 tff(29891,plain,
% 50.14/33.25 (~v237(constB161)),
% 50.14/33.25 inference(unit_resolution,[status(thm)],[29890, 9062, 29887])).
% 50.14/33.25 tff(29892,plain,
% 50.14/33.25 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB161) | v232(constB161) | (~v248(constB161)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB161) | v232(constB161) | (~v248(constB161)))),
% 50.14/33.25 inference(rewrite,[status(thm)],[])).
% 50.14/33.25 tff(29893,plain,
% 50.14/33.25 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB161) | v232(constB161) | (~v248(constB161)))),
% 50.14/33.25 inference(quant_inst,[status(thm)],[])).
% 50.14/33.25 tff(29894,plain,
% 50.14/33.25 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB161) | v232(constB161) | (~v248(constB161))),
% 50.14/33.25 inference(modus_ponens,[status(thm)],[29893, 29892])).
% 50.14/33.25 tff(29895,plain,
% 50.14/33.25 (v232(constB161) | (~v248(constB161))),
% 50.14/33.25 inference(unit_resolution,[status(thm)],[29894, 9076, 29891])).
% 50.14/33.25 tff(29896,plain,
% 50.14/33.25 (~v248(constB161)),
% 50.14/33.25 inference(unit_resolution,[status(thm)],[29895, 29860])).
% 50.14/33.25 tff(29897,plain,
% 50.14/33.25 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB161) | (~v244(constB161)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB161) | (~v244(constB161)))),
% 50.14/33.25 inference(rewrite,[status(thm)],[])).
% 50.14/33.25 tff(29898,plain,
% 50.14/33.25 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB161) | (~v244(constB161)))),
% 50.14/33.25 inference(quant_inst,[status(thm)],[])).
% 50.14/33.25 tff(29899,plain,
% 50.14/33.25 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB161) | (~v244(constB161))),
% 50.14/33.25 inference(modus_ponens,[status(thm)],[29898, 29897])).
% 50.14/33.25 tff(29900,plain,
% 50.14/33.25 (~v244(constB161)),
% 50.14/33.25 inference(unit_resolution,[status(thm)],[29899, 11335, 29896])).
% 50.14/33.25 tff(29901,plain,
% 50.14/33.25 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB161) | (~v216(constB161, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB161) | (~v216(constB161, bitIndex1)))),
% 50.14/33.25 inference(rewrite,[status(thm)],[])).
% 50.14/33.25 tff(29902,plain,
% 50.14/33.25 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB161) | (~v216(constB161, bitIndex1)))),
% 50.14/33.25 inference(quant_inst,[status(thm)],[])).
% 50.14/33.25 tff(29903,plain,
% 50.14/33.25 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB161) | (~v216(constB161, bitIndex1))),
% 50.14/33.25 inference(modus_ponens,[status(thm)],[29902, 29901])).
% 50.14/33.25 tff(29904,plain,
% 50.14/33.25 (~v216(constB161, bitIndex1)),
% 50.14/33.25 inference(unit_resolution,[status(thm)],[29903, 11346, 29900])).
% 50.14/33.25 tff(29905,plain,
% 50.14/33.25 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB161, bitIndex1) | (~v254(constB161)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB161, bitIndex1) | (~v254(constB161)))),
% 50.14/33.25 inference(rewrite,[status(thm)],[])).
% 50.14/33.25 tff(29906,plain,
% 50.14/33.25 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB161, bitIndex1) | (~v254(constB161)))),
% 50.14/33.25 inference(quant_inst,[status(thm)],[])).
% 50.14/33.25 tff(29907,plain,
% 50.14/33.25 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB161, bitIndex1) | (~v254(constB161))),
% 50.14/33.25 inference(modus_ponens,[status(thm)],[29906, 29905])).
% 50.14/33.25 tff(29908,plain,
% 50.14/33.25 (~v254(constB161)),
% 50.14/33.25 inference(unit_resolution,[status(thm)],[29907, 11357, 29904])).
% 50.14/33.25 tff(29909,plain,
% 50.14/33.25 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB161) | (~v231(constB161)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB161) | (~v231(constB161)))),
% 50.14/33.25 inference(rewrite,[status(thm)],[])).
% 50.14/33.25 tff(29910,plain,
% 50.14/33.25 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB161) | (~v231(constB161)))),
% 50.14/33.25 inference(quant_inst,[status(thm)],[])).
% 50.14/33.25 tff(29911,plain,
% 50.14/33.25 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB161) | (~v231(constB161))),
% 50.14/33.25 inference(modus_ponens,[status(thm)],[29910, 29909])).
% 50.14/33.25 tff(29912,plain,
% 50.14/33.25 (~v231(constB161)),
% 50.14/33.25 inference(unit_resolution,[status(thm)],[29911, 11162, 29891])).
% 50.14/33.25 tff(29913,plain,
% 50.14/33.25 (((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB161) | (~v221(constB161)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB161) | (~v221(constB161)))),
% 50.14/33.25 inference(rewrite,[status(thm)],[])).
% 50.14/33.25 tff(29914,plain,
% 50.14/33.25 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB161) | (~v221(constB161)))),
% 50.14/33.25 inference(quant_inst,[status(thm)],[])).
% 50.14/33.25 tff(29915,plain,
% 50.14/33.25 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB161) | (~v221(constB161))),
% 50.14/33.25 inference(modus_ponens,[status(thm)],[29914, 29913])).
% 50.14/33.25 tff(29916,plain,
% 50.14/33.25 (~v221(constB161)),
% 50.14/33.25 inference(unit_resolution,[status(thm)],[29915, 11192, 29851])).
% 50.14/33.25 tff(29917,plain,
% 50.14/33.25 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB161) | v231(constB161) | (~v243(constB161)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB161) | v231(constB161) | (~v243(constB161)))),
% 50.14/33.25 inference(rewrite,[status(thm)],[])).
% 50.14/33.25 tff(29918,plain,
% 50.14/33.25 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB161) | v231(constB161) | (~v243(constB161)))),
% 50.14/33.25 inference(quant_inst,[status(thm)],[])).
% 50.14/33.25 tff(29919,plain,
% 50.14/33.25 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB161) | v231(constB161) | (~v243(constB161))),
% 50.14/33.25 inference(modus_ponens,[status(thm)],[29918, 29917])).
% 50.14/33.25 tff(29920,plain,
% 50.14/33.25 (~v243(constB161)),
% 50.14/33.25 inference(unit_resolution,[status(thm)],[29919, 11206, 29916, 29912])).
% 50.14/33.25 tff(29921,plain,
% 50.14/33.25 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB161) | v255(constB161))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB161) | v255(constB161))),
% 50.14/33.25 inference(rewrite,[status(thm)],[])).
% 50.14/33.25 tff(29922,plain,
% 50.14/33.25 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB161) | v255(constB161))),
% 50.14/33.25 inference(quant_inst,[status(thm)],[])).
% 50.14/33.25 tff(29923,plain,
% 50.14/33.25 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB161) | v255(constB161)),
% 50.14/33.25 inference(modus_ponens,[status(thm)],[29922, 29921])).
% 50.14/33.25 tff(29924,plain,
% 50.14/33.25 (v255(constB161)),
% 50.14/33.25 inference(unit_resolution,[status(thm)],[29923, 11222, 29920])).
% 50.14/33.25 tff(29925,plain,
% 50.14/33.25 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB161)) | (~v216(constB161, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB161)) | (~v216(constB161, bitIndex2)))),
% 50.14/33.25 inference(rewrite,[status(thm)],[])).
% 50.14/33.25 tff(29926,plain,
% 50.14/33.25 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB161)) | (~v216(constB161, bitIndex2)))),
% 50.14/33.25 inference(quant_inst,[status(thm)],[])).
% 50.14/33.25 tff(29927,plain,
% 50.14/33.25 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB161)) | (~v216(constB161, bitIndex2))),
% 50.14/33.25 inference(modus_ponens,[status(thm)],[29926, 29925])).
% 50.14/33.25 tff(29928,plain,
% 50.14/33.25 (~v216(constB161, bitIndex2)),
% 50.14/33.25 inference(unit_resolution,[status(thm)],[29927, 11237, 29924])).
% 50.14/33.25 tff(29929,plain,
% 50.14/33.25 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB161, bitIndex2) | (~v215(constB161)) | v254(constB161))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB161, bitIndex2) | (~v215(constB161)) | v254(constB161))),
% 50.14/33.25 inference(rewrite,[status(thm)],[])).
% 50.14/33.25 tff(29930,plain,
% 50.14/33.25 ((v216(constB161, bitIndex2) | v254(constB161) | (~v215(constB161))) <=> (v216(constB161, bitIndex2) | (~v215(constB161)) | v254(constB161))),
% 50.14/33.25 inference(rewrite,[status(thm)],[])).
% 50.14/33.25 tff(29931,plain,
% 50.14/33.25 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB161, bitIndex2) | v254(constB161) | (~v215(constB161)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB161, bitIndex2) | (~v215(constB161)) | v254(constB161)))),
% 50.14/33.25 inference(monotonicity,[status(thm)],[29930])).
% 50.14/33.25 tff(29932,plain,
% 50.14/33.25 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB161, bitIndex2) | v254(constB161) | (~v215(constB161)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB161, bitIndex2) | (~v215(constB161)) | v254(constB161))),
% 50.14/33.25 inference(transitivity,[status(thm)],[29931, 29929])).
% 50.14/33.25 tff(29933,plain,
% 50.14/33.25 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB161, bitIndex2) | v254(constB161) | (~v215(constB161)))),
% 50.14/33.25 inference(quant_inst,[status(thm)],[])).
% 50.14/33.25 tff(29934,plain,
% 50.14/33.25 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB161, bitIndex2) | (~v215(constB161)) | v254(constB161)),
% 50.14/33.25 inference(modus_ponens,[status(thm)],[29933, 29932])).
% 50.14/33.25 tff(29935,plain,
% 50.14/33.25 ((~v215(constB161)) | v254(constB161)),
% 50.14/33.25 inference(unit_resolution,[status(thm)],[29934, 11278, 29928])).
% 50.14/33.25 tff(29936,plain,
% 50.14/33.25 (~v215(constB161)),
% 50.14/33.25 inference(unit_resolution,[status(thm)],[29935, 29908])).
% 50.14/33.25 tff(29937,plain,
% 50.14/33.25 ($false),
% 50.14/33.25 inference(unit_resolution,[status(thm)],[29936, 29771])).
% 50.14/33.25 tff(29938,plain,(~(constB161 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.14/33.25 tff(29939,assumption,(constB155 = sK0_VarCurr), introduced(assumption)).
% 50.14/33.25 tff(29940,plain,
% 50.14/33.25 (v215(constB155) <=> v215(sK0_VarCurr)),
% 50.14/33.25 inference(monotonicity,[status(thm)],[29939])).
% 50.14/33.25 tff(29941,plain,
% 50.14/33.25 (v215(sK0_VarCurr) <=> v215(constB155)),
% 50.14/33.25 inference(symmetry,[status(thm)],[29940])).
% 50.14/33.25 tff(29942,plain,
% 50.14/33.25 (v215(constB155)),
% 50.14/33.25 inference(modus_ponens,[status(thm)],[11268, 29941])).
% 50.14/33.25 tff(29943,plain,
% 50.14/33.25 (((~![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)))),
% 50.14/33.25 inference(rewrite,[status(thm)],[])).
% 50.14/33.25 tff(29944,plain,
% 50.14/33.25 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB155, bitIndex0) | (~v88(constB155, bitIndex0)))),
% 50.14/33.26 inference(quant_inst,[status(thm)],[])).
% 50.14/33.26 tff(29945,plain,
% 50.14/33.26 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB155, bitIndex0) | (~v88(constB155, bitIndex0))),
% 50.14/33.26 inference(modus_ponens,[status(thm)],[29944, 29943])).
% 50.14/33.26 tff(29946,plain,
% 50.14/33.26 (~v88(constB155, bitIndex0)),
% 50.14/33.26 inference(unit_resolution,[status(thm)],[29945, 10505, 21172])).
% 50.14/33.26 tff(29947,plain,
% 50.14/33.26 (((~![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))),
% 50.14/33.26 inference(rewrite,[status(thm)],[])).
% 50.14/33.26 tff(29948,plain,
% 50.14/33.26 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB155, bitIndex2)) | v88(constB155, bitIndex2))),
% 50.14/33.26 inference(quant_inst,[status(thm)],[])).
% 50.14/33.26 tff(29949,plain,
% 50.14/33.26 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB155, bitIndex2)) | v88(constB155, bitIndex2)),
% 50.14/33.26 inference(modus_ponens,[status(thm)],[29948, 29947])).
% 50.14/33.26 tff(29950,plain,
% 50.14/33.26 (v88(constB155, bitIndex2)),
% 50.14/33.26 inference(unit_resolution,[status(thm)],[29949, 25107, 21107])).
% 50.14/33.26 tff(29951,plain,
% 50.14/33.26 (((~![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))),
% 50.14/33.26 inference(rewrite,[status(thm)],[])).
% 50.14/33.26 tff(29952,plain,
% 50.14/33.26 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB155, bitIndex1)) | v88(constB155, bitIndex1))),
% 50.14/33.26 inference(quant_inst,[status(thm)],[])).
% 50.14/33.26 tff(29953,plain,
% 50.14/33.26 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB155, bitIndex1)) | v88(constB155, bitIndex1)),
% 50.14/33.26 inference(modus_ponens,[status(thm)],[29952, 29951])).
% 50.14/33.26 tff(29954,plain,
% 50.14/33.26 (v88(constB155, bitIndex1)),
% 50.14/33.26 inference(unit_resolution,[status(thm)],[29953, 8707, 21138])).
% 50.14/33.26 tff(29955,plain,
% 50.14/33.26 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB155, bitIndex0) | (~v88(constB155, bitIndex2)) | (~v88(constB155, bitIndex1)) | v144(constB155))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB155, bitIndex0) | (~v88(constB155, bitIndex2)) | (~v88(constB155, bitIndex1)) | v144(constB155))),
% 50.14/33.26 inference(rewrite,[status(thm)],[])).
% 50.14/33.26 tff(29956,plain,
% 50.14/33.26 (((~v88(constB155, bitIndex2)) | (~v88(constB155, bitIndex1)) | v88(constB155, bitIndex0) | v144(constB155)) <=> (v88(constB155, bitIndex0) | (~v88(constB155, bitIndex2)) | (~v88(constB155, bitIndex1)) | v144(constB155))),
% 50.14/33.26 inference(rewrite,[status(thm)],[])).
% 50.14/33.26 tff(29957,plain,
% 50.14/33.26 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB155, bitIndex2)) | (~v88(constB155, bitIndex1)) | v88(constB155, bitIndex0) | v144(constB155))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB155, bitIndex0) | (~v88(constB155, bitIndex2)) | (~v88(constB155, bitIndex1)) | v144(constB155)))),
% 50.14/33.26 inference(monotonicity,[status(thm)],[29956])).
% 50.14/33.26 tff(29958,plain,
% 50.14/33.26 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB155, bitIndex2)) | (~v88(constB155, bitIndex1)) | v88(constB155, bitIndex0) | v144(constB155))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB155, bitIndex0) | (~v88(constB155, bitIndex2)) | (~v88(constB155, bitIndex1)) | v144(constB155))),
% 50.14/33.26 inference(transitivity,[status(thm)],[29957, 29955])).
% 50.14/33.26 tff(29959,plain,
% 50.14/33.26 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB155, bitIndex2)) | (~v88(constB155, bitIndex1)) | v88(constB155, bitIndex0) | v144(constB155))),
% 50.14/33.26 inference(quant_inst,[status(thm)],[])).
% 50.14/33.26 tff(29960,plain,
% 50.14/33.26 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB155, bitIndex0) | (~v88(constB155, bitIndex2)) | (~v88(constB155, bitIndex1)) | v144(constB155)),
% 50.14/33.26 inference(modus_ponens,[status(thm)],[29959, 29958])).
% 50.14/33.26 tff(29961,plain,
% 50.14/33.26 (v144(constB155)),
% 50.14/33.26 inference(unit_resolution,[status(thm)],[29960, 25122, 29954, 29950, 29946])).
% 50.14/33.26 tff(29962,plain,
% 50.14/33.26 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB155) | (~v144(constB155)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB155) | (~v144(constB155)))),
% 50.14/33.26 inference(rewrite,[status(thm)],[])).
% 50.14/33.26 tff(29963,plain,
% 50.14/33.26 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB155) | (~v144(constB155)))),
% 50.14/33.26 inference(quant_inst,[status(thm)],[])).
% 50.14/33.26 tff(29964,plain,
% 50.14/33.26 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB155) | (~v144(constB155))),
% 50.14/33.26 inference(modus_ponens,[status(thm)],[29963, 29962])).
% 50.14/33.26 tff(29965,plain,
% 50.14/33.26 (v142(constB155)),
% 50.14/33.26 inference(unit_resolution,[status(thm)],[29964, 25139, 29961])).
% 50.14/33.26 tff(29966,plain,
% 50.14/33.26 (((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB155) | (~v142(constB155)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB155) | (~v142(constB155)))),
% 50.14/33.26 inference(rewrite,[status(thm)],[])).
% 50.14/33.26 tff(29967,plain,
% 50.14/33.26 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB155) | (~v142(constB155)))),
% 50.14/33.26 inference(quant_inst,[status(thm)],[])).
% 50.14/33.26 tff(29968,plain,
% 50.14/33.26 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB155) | (~v142(constB155))),
% 50.14/33.26 inference(modus_ponens,[status(thm)],[29967, 29966])).
% 50.14/33.26 tff(29969,plain,
% 50.14/33.26 (v198(constB155)),
% 50.14/33.26 inference(unit_resolution,[status(thm)],[29968, 10548, 29965])).
% 50.14/33.26 tff(29970,plain,
% 50.14/33.26 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB155)) | (~v201(constB155)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB155)) | (~v201(constB155)))),
% 50.14/33.26 inference(rewrite,[status(thm)],[])).
% 50.14/33.26 tff(29971,plain,
% 50.14/33.26 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB155)) | (~v201(constB155)))),
% 50.14/33.26 inference(quant_inst,[status(thm)],[])).
% 50.14/33.26 tff(29972,plain,
% 50.14/33.26 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB155)) | (~v201(constB155))),
% 50.14/33.26 inference(modus_ponens,[status(thm)],[29971, 29970])).
% 50.14/33.26 tff(29973,plain,
% 50.14/33.26 (~v201(constB155)),
% 50.14/33.26 inference(unit_resolution,[status(thm)],[29972, 8823, 29969])).
% 50.14/33.26 tff(29974,plain,
% 50.14/33.26 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB155) | (~v198(constB155)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB155) | (~v198(constB155)))),
% 50.14/33.26 inference(rewrite,[status(thm)],[])).
% 50.14/33.26 tff(29975,plain,
% 50.14/33.26 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB155) | (~v198(constB155)))),
% 50.14/33.26 inference(quant_inst,[status(thm)],[])).
% 50.14/33.26 tff(29976,plain,
% 50.14/33.26 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB155) | (~v198(constB155))),
% 50.14/33.26 inference(modus_ponens,[status(thm)],[29975, 29974])).
% 50.14/33.26 tff(29977,plain,
% 50.14/33.26 (v197(constB155)),
% 50.14/33.26 inference(unit_resolution,[status(thm)],[29976, 8834, 29969])).
% 50.14/33.26 tff(29978,plain,
% 50.14/33.26 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB155) | (~v197(constB155)) | v201(constB155))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB155) | (~v197(constB155)) | v201(constB155))),
% 50.14/33.26 inference(rewrite,[status(thm)],[])).
% 50.14/33.26 tff(29979,plain,
% 50.14/33.26 (((~v197(constB155)) | v201(constB155) | v227(constB155)) <=> (v227(constB155) | (~v197(constB155)) | v201(constB155))),
% 50.14/33.26 inference(rewrite,[status(thm)],[])).
% 50.14/33.26 tff(29980,plain,
% 50.14/33.26 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB155)) | v201(constB155) | v227(constB155))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB155) | (~v197(constB155)) | v201(constB155)))),
% 50.14/33.26 inference(monotonicity,[status(thm)],[29979])).
% 50.14/33.26 tff(29981,plain,
% 50.14/33.26 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB155)) | v201(constB155) | v227(constB155))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB155) | (~v197(constB155)) | v201(constB155))),
% 50.14/33.26 inference(transitivity,[status(thm)],[29980, 29978])).
% 50.14/33.26 tff(29982,plain,
% 50.14/33.26 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB155)) | v201(constB155) | v227(constB155))),
% 50.14/33.26 inference(quant_inst,[status(thm)],[])).
% 50.14/33.26 tff(29983,plain,
% 50.14/33.26 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB155) | (~v197(constB155)) | v201(constB155)),
% 50.14/33.26 inference(modus_ponens,[status(thm)],[29982, 29981])).
% 50.14/33.26 tff(29984,plain,
% 50.14/33.26 (v227(constB155)),
% 50.14/33.26 inference(unit_resolution,[status(thm)],[29983, 8848, 29977, 29973])).
% 50.14/33.26 tff(29985,plain,
% 50.14/33.26 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB155)) | (~v223(constB155, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB155)) | (~v223(constB155, bitIndex0)))),
% 50.14/33.26 inference(rewrite,[status(thm)],[])).
% 50.14/33.26 tff(29986,plain,
% 50.14/33.26 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB155)) | (~v223(constB155, bitIndex0)))),
% 50.14/33.26 inference(quant_inst,[status(thm)],[])).
% 50.14/33.26 tff(29987,plain,
% 50.14/33.26 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB155)) | (~v223(constB155, bitIndex0))),
% 50.14/33.26 inference(modus_ponens,[status(thm)],[29986, 29985])).
% 50.14/33.26 tff(29988,plain,
% 50.14/33.26 (~v223(constB155, bitIndex0)),
% 50.14/33.26 inference(unit_resolution,[status(thm)],[29987, 8862, 29984])).
% 50.14/33.26 tff(29989,plain,
% 50.14/33.26 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB155, bitIndex0) | (~v222(constB155)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | v223(constB155, bitIndex0) | (~v222(constB155)))),
% 50.14/33.26 inference(rewrite,[status(thm)],[])).
% 50.14/33.26 tff(29990,plain,
% 50.14/33.26 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB155, bitIndex0) | (~v222(constB155)))),
% 50.14/33.26 inference(quant_inst,[status(thm)],[])).
% 50.14/33.26 tff(29991,plain,
% 50.14/33.26 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | v223(constB155, bitIndex0) | (~v222(constB155))),
% 50.14/33.26 inference(modus_ponens,[status(thm)],[29990, 29989])).
% 50.14/33.26 tff(29992,plain,
% 50.14/33.26 (~v222(constB155)),
% 50.14/33.26 inference(unit_resolution,[status(thm)],[29991, 10578, 29988])).
% 50.14/33.26 tff(29993,plain,
% 50.14/33.26 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB155, bitIndex1)) | (~v139(constB155)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB155, bitIndex1)) | (~v139(constB155)))),
% 50.14/33.26 inference(rewrite,[status(thm)],[])).
% 50.14/33.26 tff(29994,plain,
% 50.14/33.26 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB155, bitIndex1)) | (~v139(constB155)))),
% 50.14/33.26 inference(quant_inst,[status(thm)],[])).
% 50.14/33.26 tff(29995,plain,
% 50.14/33.26 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB155, bitIndex1)) | (~v139(constB155))),
% 50.14/33.26 inference(modus_ponens,[status(thm)],[29994, 29993])).
% 50.14/33.26 tff(29996,plain,
% 50.14/33.26 (~v139(constB155)),
% 50.14/33.26 inference(unit_resolution,[status(thm)],[29995, 10589, 29954])).
% 50.14/33.26 tff(29997,plain,
% 50.14/33.26 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB155, bitIndex1)) | (~v140(constB155)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB155, bitIndex1)) | (~v140(constB155)))),
% 50.14/33.26 inference(rewrite,[status(thm)],[])).
% 50.14/33.26 tff(29998,plain,
% 50.14/33.26 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB155, bitIndex1)) | (~v140(constB155)))),
% 50.14/33.26 inference(quant_inst,[status(thm)],[])).
% 50.14/33.26 tff(29999,plain,
% 50.14/33.26 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB155, bitIndex1)) | (~v140(constB155))),
% 50.14/33.26 inference(modus_ponens,[status(thm)],[29998, 29997])).
% 50.14/33.26 tff(30000,plain,
% 50.14/33.26 (~v140(constB155)),
% 50.14/33.26 inference(unit_resolution,[status(thm)],[29999, 9002, 29954])).
% 50.14/33.26 tff(30001,plain,
% 50.14/33.26 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v139(constB155) | v140(constB155) | (~v200(constB155)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v139(constB155) | v140(constB155) | (~v200(constB155)))),
% 50.14/33.26 inference(rewrite,[status(thm)],[])).
% 50.14/33.26 tff(30002,plain,
% 50.14/33.26 ((v140(constB155) | v139(constB155) | (~v200(constB155))) <=> (v139(constB155) | v140(constB155) | (~v200(constB155)))),
% 50.14/33.26 inference(rewrite,[status(thm)],[])).
% 50.14/33.26 tff(30003,plain,
% 50.14/33.26 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB155) | v139(constB155) | (~v200(constB155)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v139(constB155) | v140(constB155) | (~v200(constB155))))),
% 50.14/33.26 inference(monotonicity,[status(thm)],[30002])).
% 50.14/33.26 tff(30004,plain,
% 50.14/33.26 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB155) | v139(constB155) | (~v200(constB155)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v139(constB155) | v140(constB155) | (~v200(constB155)))),
% 50.14/33.26 inference(transitivity,[status(thm)],[30003, 30001])).
% 50.14/33.26 tff(30005,plain,
% 50.14/33.26 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB155) | v139(constB155) | (~v200(constB155)))),
% 50.14/33.26 inference(quant_inst,[status(thm)],[])).
% 50.14/33.26 tff(30006,plain,
% 50.14/33.26 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v139(constB155) | v140(constB155) | (~v200(constB155))),
% 50.14/33.26 inference(modus_ponens,[status(thm)],[30005, 30004])).
% 50.14/33.26 tff(30007,plain,
% 50.14/33.26 (~v200(constB155)),
% 50.14/33.26 inference(unit_resolution,[status(thm)],[30006, 10610, 30000, 29996])).
% 50.14/33.26 tff(30008,plain,
% 50.14/33.26 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB155, bitIndex2)) | (~v141(constB155)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB155, bitIndex2)) | (~v141(constB155)))),
% 50.14/33.26 inference(rewrite,[status(thm)],[])).
% 50.14/33.26 tff(30009,plain,
% 50.14/33.26 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB155, bitIndex2)) | (~v141(constB155)))),
% 50.14/33.26 inference(quant_inst,[status(thm)],[])).
% 50.14/33.26 tff(30010,plain,
% 50.14/33.26 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB155, bitIndex2)) | (~v141(constB155))),
% 50.14/33.26 inference(modus_ponens,[status(thm)],[30009, 30008])).
% 50.14/33.26 tff(30011,plain,
% 50.14/33.26 (~v141(constB155)),
% 50.14/33.26 inference(unit_resolution,[status(thm)],[30010, 25200, 29950])).
% 50.14/33.26 tff(30012,plain,
% 50.14/33.26 (((~![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)))),
% 50.14/33.26 inference(rewrite,[status(thm)],[])).
% 50.14/33.26 tff(30013,plain,
% 50.14/33.26 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB155) | v200(constB155) | (~v166(constB155)))),
% 50.14/33.26 inference(quant_inst,[status(thm)],[])).
% 50.14/33.26 tff(30014,plain,
% 50.14/33.26 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB155) | v200(constB155) | (~v166(constB155))),
% 50.14/33.26 inference(modus_ponens,[status(thm)],[30013, 30012])).
% 50.14/33.26 tff(30015,plain,
% 50.14/33.26 (~v166(constB155)),
% 50.14/33.26 inference(unit_resolution,[status(thm)],[30014, 10638, 30011, 30007])).
% 50.14/33.26 tff(30016,plain,
% 50.14/33.26 (((~![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)))),
% 50.14/33.26 inference(rewrite,[status(thm)],[])).
% 50.14/33.26 tff(30017,plain,
% 50.14/33.26 (((~v197(constB155)) | v166(constB155) | v241(constB155)) <=> (v241(constB155) | v166(constB155) | (~v197(constB155)))),
% 50.14/33.26 inference(rewrite,[status(thm)],[])).
% 50.14/33.26 tff(30018,plain,
% 50.14/33.26 (((~![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))))),
% 50.14/33.26 inference(monotonicity,[status(thm)],[30017])).
% 50.14/33.26 tff(30019,plain,
% 50.14/33.26 (((~![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)))),
% 50.14/33.26 inference(transitivity,[status(thm)],[30018, 30016])).
% 50.14/33.26 tff(30020,plain,
% 50.14/33.26 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB155)) | v166(constB155) | v241(constB155))),
% 50.14/33.26 inference(quant_inst,[status(thm)],[])).
% 50.14/33.26 tff(30021,plain,
% 50.14/33.26 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB155) | v166(constB155) | (~v197(constB155))),
% 50.14/33.26 inference(modus_ponens,[status(thm)],[30020, 30019])).
% 50.14/33.26 tff(30022,plain,
% 50.14/33.26 (v241(constB155) | (~v197(constB155))),
% 50.14/33.26 inference(unit_resolution,[status(thm)],[30021, 10277, 30015])).
% 50.14/33.26 tff(30023,plain,
% 50.14/33.26 (v241(constB155)),
% 50.14/33.26 inference(unit_resolution,[status(thm)],[30022, 29977])).
% 50.14/33.26 tff(30024,plain,
% 50.14/33.26 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB155)) | (~v223(constB155, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB155)) | (~v223(constB155, bitIndex2)))),
% 50.14/33.26 inference(rewrite,[status(thm)],[])).
% 50.14/33.26 tff(30025,plain,
% 50.14/33.26 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB155)) | (~v223(constB155, bitIndex2)))),
% 50.14/33.26 inference(quant_inst,[status(thm)],[])).
% 50.14/33.26 tff(30026,plain,
% 50.14/33.26 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB155)) | (~v223(constB155, bitIndex2))),
% 50.14/33.26 inference(modus_ponens,[status(thm)],[30025, 30024])).
% 50.14/33.26 tff(30027,plain,
% 50.14/33.26 (~v223(constB155, bitIndex2)),
% 50.14/33.26 inference(unit_resolution,[status(thm)],[30026, 10292, 30023])).
% 50.14/33.26 tff(30028,plain,
% 50.14/33.26 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB155)) | v223(constB155, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB155)) | v223(constB155, bitIndex2))),
% 50.14/33.26 inference(rewrite,[status(thm)],[])).
% 50.14/33.26 tff(30029,plain,
% 50.14/33.26 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB155)) | v223(constB155, bitIndex2))),
% 50.14/33.26 inference(quant_inst,[status(thm)],[])).
% 50.14/33.26 tff(30030,plain,
% 50.14/33.26 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB155)) | v223(constB155, bitIndex2)),
% 50.14/33.26 inference(modus_ponens,[status(thm)],[30029, 30028])).
% 50.14/33.26 tff(30031,plain,
% 50.14/33.26 (~v224(constB155)),
% 50.14/33.26 inference(unit_resolution,[status(thm)],[30030, 10343, 30027])).
% 50.14/33.26 tff(30032,plain,
% 50.14/33.26 (((~![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)))),
% 50.14/33.26 inference(rewrite,[status(thm)],[])).
% 50.14/33.26 tff(30033,plain,
% 50.14/33.26 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB155) | v224(constB155) | (~v236(constB155)))),
% 50.14/33.26 inference(quant_inst,[status(thm)],[])).
% 50.14/33.26 tff(30034,plain,
% 50.14/33.26 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB155) | v224(constB155) | (~v236(constB155))),
% 50.14/33.26 inference(modus_ponens,[status(thm)],[30033, 30032])).
% 50.14/33.26 tff(30035,plain,
% 50.14/33.26 (~v236(constB155)),
% 50.14/33.26 inference(unit_resolution,[status(thm)],[30034, 8968, 30031, 29992])).
% 50.14/33.26 tff(30036,plain,
% 50.14/33.26 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB155) | (~v232(constB155)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB155) | (~v232(constB155)))),
% 50.14/33.26 inference(rewrite,[status(thm)],[])).
% 50.14/33.26 tff(30037,plain,
% 50.14/33.26 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB155) | (~v232(constB155)))),
% 50.14/33.26 inference(quant_inst,[status(thm)],[])).
% 50.14/33.26 tff(30038,plain,
% 50.14/33.26 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB155) | (~v232(constB155))),
% 50.14/33.26 inference(modus_ponens,[status(thm)],[30037, 30036])).
% 50.14/33.26 tff(30039,plain,
% 50.14/33.26 (~v232(constB155)),
% 50.14/33.26 inference(unit_resolution,[status(thm)],[30038, 8980, 30035])).
% 50.14/33.26 tff(30040,plain,
% 50.14/33.26 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v139(constB155) | v140(constB155) | (~v148(constB155)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v139(constB155) | v140(constB155) | (~v148(constB155)))),
% 50.14/33.26 inference(rewrite,[status(thm)],[])).
% 50.14/33.26 tff(30041,plain,
% 50.14/33.26 ((v140(constB155) | v139(constB155) | (~v148(constB155))) <=> (v139(constB155) | v140(constB155) | (~v148(constB155)))),
% 50.14/33.26 inference(rewrite,[status(thm)],[])).
% 50.14/33.26 tff(30042,plain,
% 50.14/33.26 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB155) | v139(constB155) | (~v148(constB155)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v139(constB155) | v140(constB155) | (~v148(constB155))))),
% 50.14/33.26 inference(monotonicity,[status(thm)],[30041])).
% 50.14/33.26 tff(30043,plain,
% 50.14/33.26 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB155) | v139(constB155) | (~v148(constB155)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v139(constB155) | v140(constB155) | (~v148(constB155)))),
% 50.14/33.26 inference(transitivity,[status(thm)],[30042, 30040])).
% 50.14/33.26 tff(30044,plain,
% 50.14/33.26 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB155) | v139(constB155) | (~v148(constB155)))),
% 50.14/33.26 inference(quant_inst,[status(thm)],[])).
% 50.14/33.26 tff(30045,plain,
% 50.14/33.26 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v139(constB155) | v140(constB155) | (~v148(constB155))),
% 50.14/33.26 inference(modus_ponens,[status(thm)],[30044, 30043])).
% 50.14/33.26 tff(30046,plain,
% 50.14/33.26 (~v148(constB155)),
% 50.14/33.26 inference(unit_resolution,[status(thm)],[30045, 9016, 30000, 29996])).
% 50.14/33.26 tff(30047,plain,
% 50.14/33.26 (((~![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)))),
% 50.14/33.26 inference(rewrite,[status(thm)],[])).
% 50.14/33.26 tff(30048,plain,
% 50.14/33.26 ((v148(constB155) | (~v197(constB155)) | v252(constB155)) <=> (v252(constB155) | v148(constB155) | (~v197(constB155)))),
% 50.14/33.26 inference(rewrite,[status(thm)],[])).
% 50.14/33.26 tff(30049,plain,
% 50.14/33.26 (((~![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))))),
% 50.14/33.26 inference(monotonicity,[status(thm)],[30048])).
% 50.14/33.26 tff(30050,plain,
% 50.14/33.26 (((~![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)))),
% 50.14/33.26 inference(transitivity,[status(thm)],[30049, 30047])).
% 50.14/33.26 tff(30051,plain,
% 50.14/33.26 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB155) | (~v197(constB155)) | v252(constB155))),
% 50.14/33.26 inference(quant_inst,[status(thm)],[])).
% 50.14/33.26 tff(30052,plain,
% 50.14/33.26 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB155) | v148(constB155) | (~v197(constB155))),
% 50.14/33.26 inference(modus_ponens,[status(thm)],[30051, 30050])).
% 50.14/33.26 tff(30053,plain,
% 50.14/33.26 (v252(constB155) | (~v197(constB155))),
% 50.14/33.26 inference(unit_resolution,[status(thm)],[30052, 9033, 30046])).
% 50.14/33.26 tff(30054,plain,
% 50.14/33.26 (v252(constB155)),
% 50.14/33.26 inference(unit_resolution,[status(thm)],[30053, 29977])).
% 50.14/33.26 tff(30055,plain,
% 50.14/33.26 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB155)) | (~v223(constB155, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB155)) | (~v223(constB155, bitIndex3)))),
% 50.14/33.26 inference(rewrite,[status(thm)],[])).
% 50.14/33.26 tff(30056,plain,
% 50.14/33.26 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB155)) | (~v223(constB155, bitIndex3)))),
% 50.14/33.26 inference(quant_inst,[status(thm)],[])).
% 50.14/33.26 tff(30057,plain,
% 50.14/33.26 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB155)) | (~v223(constB155, bitIndex3))),
% 50.14/33.26 inference(modus_ponens,[status(thm)],[30056, 30055])).
% 50.14/33.26 tff(30058,plain,
% 50.14/33.26 (~v223(constB155, bitIndex3)),
% 50.14/33.26 inference(unit_resolution,[status(thm)],[30057, 9048, 30054])).
% 50.14/33.26 tff(30059,plain,
% 50.14/33.26 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB155)) | v223(constB155, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB155)) | v223(constB155, bitIndex3))),
% 50.14/33.26 inference(rewrite,[status(thm)],[])).
% 50.14/33.26 tff(30060,plain,
% 50.14/33.26 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB155)) | v223(constB155, bitIndex3))),
% 50.14/33.26 inference(quant_inst,[status(thm)],[])).
% 50.14/33.26 tff(30061,plain,
% 50.14/33.26 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB155)) | v223(constB155, bitIndex3)),
% 50.14/33.26 inference(modus_ponens,[status(thm)],[30060, 30059])).
% 50.14/33.26 tff(30062,plain,
% 50.14/33.26 (~v237(constB155)),
% 50.14/33.26 inference(unit_resolution,[status(thm)],[30061, 9062, 30058])).
% 50.14/33.26 tff(30063,plain,
% 50.14/33.26 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v232(constB155) | v237(constB155) | (~v248(constB155)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v232(constB155) | v237(constB155) | (~v248(constB155)))),
% 50.14/33.26 inference(rewrite,[status(thm)],[])).
% 50.14/33.26 tff(30064,plain,
% 50.14/33.26 ((v237(constB155) | v232(constB155) | (~v248(constB155))) <=> (v232(constB155) | v237(constB155) | (~v248(constB155)))),
% 50.14/33.26 inference(rewrite,[status(thm)],[])).
% 50.14/33.26 tff(30065,plain,
% 50.14/33.26 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB155) | v232(constB155) | (~v248(constB155)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v232(constB155) | v237(constB155) | (~v248(constB155))))),
% 50.14/33.26 inference(monotonicity,[status(thm)],[30064])).
% 50.14/33.26 tff(30066,plain,
% 50.14/33.26 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB155) | v232(constB155) | (~v248(constB155)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v232(constB155) | v237(constB155) | (~v248(constB155)))),
% 50.14/33.26 inference(transitivity,[status(thm)],[30065, 30063])).
% 50.14/33.26 tff(30067,plain,
% 50.14/33.26 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB155) | v232(constB155) | (~v248(constB155)))),
% 50.14/33.26 inference(quant_inst,[status(thm)],[])).
% 50.14/33.26 tff(30068,plain,
% 50.14/33.26 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v232(constB155) | v237(constB155) | (~v248(constB155))),
% 50.14/33.26 inference(modus_ponens,[status(thm)],[30067, 30066])).
% 50.14/33.26 tff(30069,plain,
% 50.14/33.26 (v232(constB155) | (~v248(constB155))),
% 50.14/33.26 inference(unit_resolution,[status(thm)],[30068, 9076, 30062])).
% 50.14/33.26 tff(30070,plain,
% 50.14/33.26 (~v248(constB155)),
% 50.14/33.26 inference(unit_resolution,[status(thm)],[30069, 30039])).
% 50.14/33.26 tff(30071,plain,
% 50.14/33.26 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB155) | (~v244(constB155)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB155) | (~v244(constB155)))),
% 50.14/33.26 inference(rewrite,[status(thm)],[])).
% 50.14/33.26 tff(30072,plain,
% 50.14/33.26 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB155) | (~v244(constB155)))),
% 50.14/33.26 inference(quant_inst,[status(thm)],[])).
% 50.14/33.26 tff(30073,plain,
% 50.14/33.26 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB155) | (~v244(constB155))),
% 50.14/33.26 inference(modus_ponens,[status(thm)],[30072, 30071])).
% 50.14/33.26 tff(30074,plain,
% 50.14/33.26 (~v244(constB155)),
% 50.14/33.26 inference(unit_resolution,[status(thm)],[30073, 11335, 30070])).
% 50.14/33.26 tff(30075,plain,
% 50.14/33.26 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB155) | (~v216(constB155, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB155) | (~v216(constB155, bitIndex1)))),
% 50.14/33.26 inference(rewrite,[status(thm)],[])).
% 50.14/33.26 tff(30076,plain,
% 50.14/33.26 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB155) | (~v216(constB155, bitIndex1)))),
% 50.14/33.26 inference(quant_inst,[status(thm)],[])).
% 50.14/33.26 tff(30077,plain,
% 50.14/33.26 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB155) | (~v216(constB155, bitIndex1))),
% 50.14/33.26 inference(modus_ponens,[status(thm)],[30076, 30075])).
% 50.14/33.26 tff(30078,plain,
% 50.14/33.26 (~v216(constB155, bitIndex1)),
% 50.14/33.26 inference(unit_resolution,[status(thm)],[30077, 11346, 30074])).
% 50.14/33.26 tff(30079,plain,
% 50.14/33.26 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB155, bitIndex1) | (~v254(constB155)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB155, bitIndex1) | (~v254(constB155)))),
% 50.14/33.26 inference(rewrite,[status(thm)],[])).
% 50.14/33.26 tff(30080,plain,
% 50.14/33.26 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB155, bitIndex1) | (~v254(constB155)))),
% 50.14/33.26 inference(quant_inst,[status(thm)],[])).
% 50.14/33.26 tff(30081,plain,
% 50.14/33.26 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB155, bitIndex1) | (~v254(constB155))),
% 50.14/33.26 inference(modus_ponens,[status(thm)],[30080, 30079])).
% 50.14/33.26 tff(30082,plain,
% 50.14/33.26 (~v254(constB155)),
% 50.14/33.26 inference(unit_resolution,[status(thm)],[30081, 11357, 30078])).
% 50.14/33.26 tff(30083,plain,
% 50.14/33.26 (((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB155) | (~v221(constB155)))) <=> ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB155) | (~v221(constB155)))),
% 50.14/33.26 inference(rewrite,[status(thm)],[])).
% 50.14/33.26 tff(30084,plain,
% 50.14/33.26 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB155) | (~v221(constB155)))),
% 50.14/33.26 inference(quant_inst,[status(thm)],[])).
% 50.14/33.26 tff(30085,plain,
% 50.14/33.26 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB155) | (~v221(constB155))),
% 50.14/33.26 inference(modus_ponens,[status(thm)],[30084, 30083])).
% 50.14/33.26 tff(30086,plain,
% 50.14/33.26 (~v221(constB155)),
% 50.14/33.26 inference(unit_resolution,[status(thm)],[30085, 11505, 30031])).
% 50.14/33.26 tff(30087,plain,
% 50.14/33.26 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB155) | (~v231(constB155)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB155) | (~v231(constB155)))),
% 50.14/33.26 inference(rewrite,[status(thm)],[])).
% 50.14/33.26 tff(30088,plain,
% 50.14/33.26 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB155) | (~v231(constB155)))),
% 50.14/33.26 inference(quant_inst,[status(thm)],[])).
% 50.14/33.26 tff(30089,plain,
% 50.14/33.26 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB155) | (~v231(constB155))),
% 50.14/33.26 inference(modus_ponens,[status(thm)],[30088, 30087])).
% 50.14/33.26 tff(30090,plain,
% 50.14/33.26 (~v231(constB155)),
% 50.14/33.26 inference(unit_resolution,[status(thm)],[30089, 11162, 30062])).
% 50.14/33.26 tff(30091,plain,
% 50.14/33.26 (((~![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)))),
% 50.14/33.26 inference(rewrite,[status(thm)],[])).
% 50.14/33.26 tff(30092,plain,
% 50.14/33.26 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB155) | v231(constB155) | (~v243(constB155)))),
% 50.14/33.26 inference(quant_inst,[status(thm)],[])).
% 50.14/33.26 tff(30093,plain,
% 50.14/33.26 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB155) | v231(constB155) | (~v243(constB155))),
% 50.14/33.26 inference(modus_ponens,[status(thm)],[30092, 30091])).
% 50.14/33.26 tff(30094,plain,
% 50.14/33.26 (~v243(constB155)),
% 50.14/33.26 inference(unit_resolution,[status(thm)],[30093, 11206, 30090, 30086])).
% 50.14/33.26 tff(30095,plain,
% 50.14/33.26 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB155) | v255(constB155))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB155) | v255(constB155))),
% 50.14/33.26 inference(rewrite,[status(thm)],[])).
% 50.14/33.26 tff(30096,plain,
% 50.14/33.26 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB155) | v255(constB155))),
% 50.14/33.26 inference(quant_inst,[status(thm)],[])).
% 50.14/33.26 tff(30097,plain,
% 50.14/33.26 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB155) | v255(constB155)),
% 50.14/33.26 inference(modus_ponens,[status(thm)],[30096, 30095])).
% 50.14/33.26 tff(30098,plain,
% 50.14/33.26 (v255(constB155)),
% 50.14/33.26 inference(unit_resolution,[status(thm)],[30097, 11222, 30094])).
% 50.14/33.26 tff(30099,plain,
% 50.14/33.26 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB155)) | (~v216(constB155, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB155)) | (~v216(constB155, bitIndex2)))),
% 50.14/33.26 inference(rewrite,[status(thm)],[])).
% 50.14/33.26 tff(30100,plain,
% 50.14/33.26 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB155)) | (~v216(constB155, bitIndex2)))),
% 50.14/33.26 inference(quant_inst,[status(thm)],[])).
% 50.14/33.26 tff(30101,plain,
% 50.14/33.26 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB155)) | (~v216(constB155, bitIndex2))),
% 50.14/33.26 inference(modus_ponens,[status(thm)],[30100, 30099])).
% 50.14/33.26 tff(30102,plain,
% 50.14/33.26 (~v216(constB155, bitIndex2)),
% 50.14/33.26 inference(unit_resolution,[status(thm)],[30101, 11237, 30098])).
% 50.14/33.26 tff(30103,plain,
% 50.14/33.26 (((~![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)))),
% 50.14/33.26 inference(rewrite,[status(thm)],[])).
% 50.14/33.26 tff(30104,plain,
% 50.14/33.26 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB155, bitIndex2) | v254(constB155) | (~v215(constB155)))),
% 50.14/33.26 inference(quant_inst,[status(thm)],[])).
% 50.14/33.26 tff(30105,plain,
% 50.14/33.26 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB155, bitIndex2) | v254(constB155) | (~v215(constB155))),
% 50.14/33.26 inference(modus_ponens,[status(thm)],[30104, 30103])).
% 50.14/33.26 tff(30106,plain,
% 50.14/33.26 (v254(constB155) | (~v215(constB155))),
% 50.14/33.26 inference(unit_resolution,[status(thm)],[30105, 11278, 30102])).
% 50.14/33.26 tff(30107,plain,
% 50.14/33.26 (~v215(constB155)),
% 50.14/33.26 inference(unit_resolution,[status(thm)],[30106, 30082])).
% 50.14/33.26 tff(30108,plain,
% 50.14/33.26 ($false),
% 50.14/33.26 inference(unit_resolution,[status(thm)],[30107, 29942])).
% 50.14/33.26 tff(30109,plain,(~(constB155 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.14/33.26 tff(30110,assumption,(constB125 = sK0_VarCurr), introduced(assumption)).
% 50.14/33.26 tff(30111,plain,
% 50.14/33.26 (v215(constB125) <=> v215(sK0_VarCurr)),
% 50.14/33.26 inference(monotonicity,[status(thm)],[30110])).
% 50.14/33.26 tff(30112,plain,
% 50.14/33.26 (v215(sK0_VarCurr) <=> v215(constB125)),
% 50.14/33.26 inference(symmetry,[status(thm)],[30111])).
% 50.14/33.26 tff(30113,plain,
% 50.14/33.26 (v215(constB125)),
% 50.14/33.26 inference(modus_ponens,[status(thm)],[11268, 30112])).
% 50.14/33.26 tff(30114,plain,
% 50.14/33.26 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB125, bitIndex0) | (~v88(constB125, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB125, bitIndex0) | (~v88(constB125, bitIndex0)))),
% 50.14/33.26 inference(rewrite,[status(thm)],[])).
% 50.14/33.26 tff(30115,plain,
% 50.14/33.26 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB125, bitIndex0) | (~v88(constB125, bitIndex0)))),
% 50.14/33.26 inference(quant_inst,[status(thm)],[])).
% 50.14/33.26 tff(30116,plain,
% 50.14/33.26 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB125, bitIndex0) | (~v88(constB125, bitIndex0))),
% 50.14/33.26 inference(modus_ponens,[status(thm)],[30115, 30114])).
% 50.14/33.27 tff(30117,plain,
% 50.14/33.27 (~v88(constB125, bitIndex0)),
% 50.14/33.27 inference(unit_resolution,[status(thm)],[30116, 10505, 17826])).
% 50.14/33.27 tff(30118,plain,
% 50.14/33.27 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB125, bitIndex2)) | v88(constB125, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB125, bitIndex2)) | v88(constB125, bitIndex2))),
% 50.14/33.27 inference(rewrite,[status(thm)],[])).
% 50.14/33.27 tff(30119,plain,
% 50.14/33.27 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB125, bitIndex2)) | v88(constB125, bitIndex2))),
% 50.14/33.27 inference(quant_inst,[status(thm)],[])).
% 50.14/33.27 tff(30120,plain,
% 50.14/33.27 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB125, bitIndex2)) | v88(constB125, bitIndex2)),
% 50.14/33.27 inference(modus_ponens,[status(thm)],[30119, 30118])).
% 50.14/33.27 tff(30121,plain,
% 50.14/33.27 (v88(constB125, bitIndex2)),
% 50.14/33.27 inference(unit_resolution,[status(thm)],[30120, 25107, 17761])).
% 50.14/33.27 tff(30122,plain,
% 50.14/33.27 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB125, bitIndex1)) | v88(constB125, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB125, bitIndex1)) | v88(constB125, bitIndex1))),
% 50.14/33.27 inference(rewrite,[status(thm)],[])).
% 50.14/33.27 tff(30123,plain,
% 50.14/33.27 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB125, bitIndex1)) | v88(constB125, bitIndex1))),
% 50.14/33.27 inference(quant_inst,[status(thm)],[])).
% 50.14/33.27 tff(30124,plain,
% 50.14/33.27 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB125, bitIndex1)) | v88(constB125, bitIndex1)),
% 50.14/33.27 inference(modus_ponens,[status(thm)],[30123, 30122])).
% 50.14/33.27 tff(30125,plain,
% 50.14/33.27 (v88(constB125, bitIndex1)),
% 50.14/33.27 inference(unit_resolution,[status(thm)],[30124, 8707, 17792])).
% 50.14/33.27 tff(30126,plain,
% 50.14/33.27 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB125, bitIndex2)) | v144(constB125) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB125, bitIndex2)) | v144(constB125) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0))),
% 50.14/33.27 inference(rewrite,[status(thm)],[])).
% 50.14/33.27 tff(30127,plain,
% 50.14/33.27 (((~v88(constB125, bitIndex2)) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0) | v144(constB125)) <=> ((~v88(constB125, bitIndex2)) | v144(constB125) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0))),
% 50.14/33.27 inference(rewrite,[status(thm)],[])).
% 50.14/33.27 tff(30128,plain,
% 50.14/33.27 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB125, bitIndex2)) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0) | v144(constB125))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB125, bitIndex2)) | v144(constB125) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0)))),
% 50.14/33.27 inference(monotonicity,[status(thm)],[30127])).
% 50.14/33.27 tff(30129,plain,
% 50.14/33.27 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB125, bitIndex2)) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0) | v144(constB125))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB125, bitIndex2)) | v144(constB125) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0))),
% 50.14/33.27 inference(transitivity,[status(thm)],[30128, 30126])).
% 50.14/33.27 tff(30130,plain,
% 50.14/33.27 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB125, bitIndex2)) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0) | v144(constB125))),
% 50.14/33.27 inference(quant_inst,[status(thm)],[])).
% 50.14/33.27 tff(30131,plain,
% 50.14/33.27 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB125, bitIndex2)) | v144(constB125) | (~v88(constB125, bitIndex1)) | v88(constB125, bitIndex0)),
% 50.14/33.27 inference(modus_ponens,[status(thm)],[30130, 30129])).
% 50.14/33.27 tff(30132,plain,
% 50.14/33.27 (v144(constB125)),
% 50.14/33.27 inference(unit_resolution,[status(thm)],[30131, 25122, 30125, 30121, 30117])).
% 50.14/33.27 tff(30133,plain,
% 50.14/33.27 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB125) | (~v144(constB125)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB125) | (~v144(constB125)))),
% 50.14/33.27 inference(rewrite,[status(thm)],[])).
% 50.14/33.27 tff(30134,plain,
% 50.14/33.27 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB125) | (~v144(constB125)))),
% 50.14/33.27 inference(quant_inst,[status(thm)],[])).
% 50.14/33.27 tff(30135,plain,
% 50.14/33.27 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB125) | (~v144(constB125))),
% 50.14/33.27 inference(modus_ponens,[status(thm)],[30134, 30133])).
% 50.14/33.27 tff(30136,plain,
% 50.14/33.27 (v142(constB125)),
% 50.14/33.27 inference(unit_resolution,[status(thm)],[30135, 25139, 30132])).
% 50.14/33.27 tff(30137,plain,
% 50.14/33.27 (((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB125) | (~v142(constB125)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB125) | (~v142(constB125)))),
% 50.14/33.27 inference(rewrite,[status(thm)],[])).
% 50.14/33.27 tff(30138,plain,
% 50.14/33.27 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB125) | (~v142(constB125)))),
% 50.14/33.27 inference(quant_inst,[status(thm)],[])).
% 50.14/33.27 tff(30139,plain,
% 50.14/33.27 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB125) | (~v142(constB125))),
% 50.14/33.27 inference(modus_ponens,[status(thm)],[30138, 30137])).
% 50.14/33.27 tff(30140,plain,
% 50.14/33.27 (v198(constB125)),
% 50.14/33.27 inference(unit_resolution,[status(thm)],[30139, 10548, 30136])).
% 50.14/33.27 tff(30141,plain,
% 50.14/33.27 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB125)) | (~v201(constB125)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB125)) | (~v201(constB125)))),
% 50.14/33.27 inference(rewrite,[status(thm)],[])).
% 50.14/33.27 tff(30142,plain,
% 50.14/33.27 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB125)) | (~v201(constB125)))),
% 50.14/33.27 inference(quant_inst,[status(thm)],[])).
% 50.14/33.27 tff(30143,plain,
% 50.14/33.27 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB125)) | (~v201(constB125))),
% 50.14/33.27 inference(modus_ponens,[status(thm)],[30142, 30141])).
% 50.14/33.27 tff(30144,plain,
% 50.14/33.27 (~v201(constB125)),
% 50.14/33.27 inference(unit_resolution,[status(thm)],[30143, 8823, 30140])).
% 50.14/33.27 tff(30145,plain,
% 50.14/33.27 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB125) | (~v198(constB125)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB125) | (~v198(constB125)))),
% 50.14/33.27 inference(rewrite,[status(thm)],[])).
% 50.14/33.27 tff(30146,plain,
% 50.14/33.27 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB125) | (~v198(constB125)))),
% 50.14/33.27 inference(quant_inst,[status(thm)],[])).
% 50.14/33.27 tff(30147,plain,
% 50.14/33.27 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB125) | (~v198(constB125))),
% 50.14/33.27 inference(modus_ponens,[status(thm)],[30146, 30145])).
% 50.14/33.27 tff(30148,plain,
% 50.14/33.27 (v197(constB125)),
% 50.14/33.27 inference(unit_resolution,[status(thm)],[30147, 8834, 30140])).
% 50.14/33.27 tff(30149,plain,
% 50.14/33.27 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB125) | (~v197(constB125)) | v201(constB125))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB125) | (~v197(constB125)) | v201(constB125))),
% 50.14/33.27 inference(rewrite,[status(thm)],[])).
% 50.14/33.27 tff(30150,plain,
% 50.14/33.27 (((~v197(constB125)) | v201(constB125) | v227(constB125)) <=> (v227(constB125) | (~v197(constB125)) | v201(constB125))),
% 50.14/33.27 inference(rewrite,[status(thm)],[])).
% 50.14/33.27 tff(30151,plain,
% 50.14/33.27 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB125)) | v201(constB125) | v227(constB125))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB125) | (~v197(constB125)) | v201(constB125)))),
% 50.14/33.27 inference(monotonicity,[status(thm)],[30150])).
% 50.14/33.27 tff(30152,plain,
% 50.14/33.27 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB125)) | v201(constB125) | v227(constB125))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB125) | (~v197(constB125)) | v201(constB125))),
% 50.14/33.27 inference(transitivity,[status(thm)],[30151, 30149])).
% 50.14/33.27 tff(30153,plain,
% 50.14/33.27 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB125)) | v201(constB125) | v227(constB125))),
% 50.14/33.27 inference(quant_inst,[status(thm)],[])).
% 50.14/33.27 tff(30154,plain,
% 50.14/33.27 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB125) | (~v197(constB125)) | v201(constB125)),
% 50.14/33.27 inference(modus_ponens,[status(thm)],[30153, 30152])).
% 50.14/33.27 tff(30155,plain,
% 50.14/33.27 (v227(constB125)),
% 50.14/33.27 inference(unit_resolution,[status(thm)],[30154, 8848, 30148, 30144])).
% 50.14/33.27 tff(30156,plain,
% 50.14/33.27 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB125)) | (~v223(constB125, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB125)) | (~v223(constB125, bitIndex0)))),
% 50.14/33.27 inference(rewrite,[status(thm)],[])).
% 50.14/33.27 tff(30157,plain,
% 50.14/33.27 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB125)) | (~v223(constB125, bitIndex0)))),
% 50.14/33.27 inference(quant_inst,[status(thm)],[])).
% 50.14/33.27 tff(30158,plain,
% 50.14/33.27 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB125)) | (~v223(constB125, bitIndex0))),
% 50.14/33.27 inference(modus_ponens,[status(thm)],[30157, 30156])).
% 50.14/33.27 tff(30159,plain,
% 50.14/33.27 (~v223(constB125, bitIndex0)),
% 50.14/33.27 inference(unit_resolution,[status(thm)],[30158, 8862, 30155])).
% 50.14/33.27 tff(30160,plain,
% 50.14/33.27 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB125, bitIndex0) | (~v222(constB125)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | v223(constB125, bitIndex0) | (~v222(constB125)))),
% 50.14/33.27 inference(rewrite,[status(thm)],[])).
% 50.14/33.27 tff(30161,plain,
% 50.14/33.27 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB125, bitIndex0) | (~v222(constB125)))),
% 50.14/33.27 inference(quant_inst,[status(thm)],[])).
% 50.14/33.27 tff(30162,plain,
% 50.14/33.27 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | v223(constB125, bitIndex0) | (~v222(constB125))),
% 50.14/33.27 inference(modus_ponens,[status(thm)],[30161, 30160])).
% 50.14/33.27 tff(30163,plain,
% 50.14/33.27 (~v222(constB125)),
% 50.14/33.27 inference(unit_resolution,[status(thm)],[30162, 10578, 30159])).
% 50.14/33.27 tff(30164,plain,
% 50.14/33.27 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB125, bitIndex1)) | (~v139(constB125)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB125, bitIndex1)) | (~v139(constB125)))),
% 50.14/33.27 inference(rewrite,[status(thm)],[])).
% 50.14/33.27 tff(30165,plain,
% 50.14/33.27 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB125, bitIndex1)) | (~v139(constB125)))),
% 50.14/33.27 inference(quant_inst,[status(thm)],[])).
% 50.14/33.27 tff(30166,plain,
% 50.14/33.27 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB125, bitIndex1)) | (~v139(constB125))),
% 50.14/33.27 inference(modus_ponens,[status(thm)],[30165, 30164])).
% 50.14/33.27 tff(30167,plain,
% 50.14/33.27 (~v139(constB125)),
% 50.14/33.27 inference(unit_resolution,[status(thm)],[30166, 10589, 30125])).
% 50.14/33.27 tff(30168,plain,
% 50.14/33.27 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB125, bitIndex1)) | (~v140(constB125)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB125, bitIndex1)) | (~v140(constB125)))),
% 50.14/33.27 inference(rewrite,[status(thm)],[])).
% 50.14/33.27 tff(30169,plain,
% 50.14/33.27 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB125, bitIndex1)) | (~v140(constB125)))),
% 50.14/33.27 inference(quant_inst,[status(thm)],[])).
% 50.14/33.27 tff(30170,plain,
% 50.14/33.27 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB125, bitIndex1)) | (~v140(constB125))),
% 50.14/33.27 inference(modus_ponens,[status(thm)],[30169, 30168])).
% 50.14/33.27 tff(30171,plain,
% 50.14/33.27 (~v140(constB125)),
% 50.14/33.27 inference(unit_resolution,[status(thm)],[30170, 9002, 30125])).
% 50.14/33.27 tff(30172,plain,
% 50.14/33.27 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB125) | v139(constB125) | (~v200(constB125)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB125) | v139(constB125) | (~v200(constB125)))),
% 50.14/33.27 inference(rewrite,[status(thm)],[])).
% 50.14/33.27 tff(30173,plain,
% 50.14/33.27 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB125) | v139(constB125) | (~v200(constB125)))),
% 50.14/33.27 inference(quant_inst,[status(thm)],[])).
% 50.14/33.27 tff(30174,plain,
% 50.14/33.27 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB125) | v139(constB125) | (~v200(constB125))),
% 50.14/33.27 inference(modus_ponens,[status(thm)],[30173, 30172])).
% 50.14/33.27 tff(30175,plain,
% 50.14/33.27 (~v200(constB125)),
% 50.14/33.27 inference(unit_resolution,[status(thm)],[30174, 10610, 30171, 30167])).
% 50.14/33.27 tff(30176,plain,
% 50.14/33.27 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB125, bitIndex2)) | (~v141(constB125)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB125, bitIndex2)) | (~v141(constB125)))),
% 50.14/33.27 inference(rewrite,[status(thm)],[])).
% 50.14/33.27 tff(30177,plain,
% 50.14/33.27 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB125, bitIndex2)) | (~v141(constB125)))),
% 50.14/33.27 inference(quant_inst,[status(thm)],[])).
% 50.14/33.27 tff(30178,plain,
% 50.14/33.27 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB125, bitIndex2)) | (~v141(constB125))),
% 50.14/33.27 inference(modus_ponens,[status(thm)],[30177, 30176])).
% 50.14/33.27 tff(30179,plain,
% 50.14/33.27 (~v141(constB125)),
% 50.14/33.27 inference(unit_resolution,[status(thm)],[30178, 25200, 30121])).
% 50.14/33.27 tff(30180,plain,
% 50.14/33.27 (((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB125) | v200(constB125) | (~v166(constB125)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB125) | v200(constB125) | (~v166(constB125)))),
% 50.14/33.27 inference(rewrite,[status(thm)],[])).
% 50.14/33.27 tff(30181,plain,
% 50.14/33.27 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB125) | v200(constB125) | (~v166(constB125)))),
% 50.14/33.27 inference(quant_inst,[status(thm)],[])).
% 50.14/33.27 tff(30182,plain,
% 50.14/33.27 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB125) | v200(constB125) | (~v166(constB125))),
% 50.14/33.27 inference(modus_ponens,[status(thm)],[30181, 30180])).
% 50.14/33.27 tff(30183,plain,
% 50.14/33.27 (~v166(constB125)),
% 50.14/33.27 inference(unit_resolution,[status(thm)],[30182, 10638, 30179, 30175])).
% 50.14/33.27 tff(30184,plain,
% 50.14/33.27 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB125) | (~v197(constB125)) | v166(constB125))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB125) | (~v197(constB125)) | v166(constB125))),
% 50.14/33.27 inference(rewrite,[status(thm)],[])).
% 50.14/33.27 tff(30185,plain,
% 50.14/33.27 (((~v197(constB125)) | v166(constB125) | v241(constB125)) <=> (v241(constB125) | (~v197(constB125)) | v166(constB125))),
% 50.14/33.27 inference(rewrite,[status(thm)],[])).
% 50.14/33.27 tff(30186,plain,
% 50.14/33.27 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB125)) | v166(constB125) | v241(constB125))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB125) | (~v197(constB125)) | v166(constB125)))),
% 50.14/33.27 inference(monotonicity,[status(thm)],[30185])).
% 50.14/33.27 tff(30187,plain,
% 50.14/33.27 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB125)) | v166(constB125) | v241(constB125))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB125) | (~v197(constB125)) | v166(constB125))),
% 50.14/33.27 inference(transitivity,[status(thm)],[30186, 30184])).
% 50.14/33.27 tff(30188,plain,
% 50.14/33.27 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB125)) | v166(constB125) | v241(constB125))),
% 50.14/33.27 inference(quant_inst,[status(thm)],[])).
% 50.14/33.27 tff(30189,plain,
% 50.14/33.27 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB125) | (~v197(constB125)) | v166(constB125)),
% 50.14/33.27 inference(modus_ponens,[status(thm)],[30188, 30187])).
% 50.14/33.27 tff(30190,plain,
% 50.14/33.27 (v241(constB125) | (~v197(constB125))),
% 50.14/33.27 inference(unit_resolution,[status(thm)],[30189, 10277, 30183])).
% 50.14/33.27 tff(30191,plain,
% 50.14/33.27 (v241(constB125)),
% 50.14/33.27 inference(unit_resolution,[status(thm)],[30190, 30148])).
% 50.14/33.27 tff(30192,plain,
% 50.14/33.27 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB125)) | (~v223(constB125, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB125)) | (~v223(constB125, bitIndex2)))),
% 50.14/33.27 inference(rewrite,[status(thm)],[])).
% 50.14/33.27 tff(30193,plain,
% 50.14/33.27 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB125)) | (~v223(constB125, bitIndex2)))),
% 50.14/33.27 inference(quant_inst,[status(thm)],[])).
% 50.14/33.27 tff(30194,plain,
% 50.14/33.27 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB125)) | (~v223(constB125, bitIndex2))),
% 50.14/33.27 inference(modus_ponens,[status(thm)],[30193, 30192])).
% 50.14/33.27 tff(30195,plain,
% 50.14/33.27 (~v223(constB125, bitIndex2)),
% 50.14/33.27 inference(unit_resolution,[status(thm)],[30194, 10292, 30191])).
% 50.14/33.27 tff(30196,plain,
% 50.14/33.27 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB125)) | v223(constB125, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB125)) | v223(constB125, bitIndex2))),
% 50.14/33.27 inference(rewrite,[status(thm)],[])).
% 50.14/33.27 tff(30197,plain,
% 50.14/33.27 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB125)) | v223(constB125, bitIndex2))),
% 50.14/33.27 inference(quant_inst,[status(thm)],[])).
% 50.14/33.27 tff(30198,plain,
% 50.14/33.27 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB125)) | v223(constB125, bitIndex2)),
% 50.14/33.27 inference(modus_ponens,[status(thm)],[30197, 30196])).
% 50.14/33.27 tff(30199,plain,
% 50.14/33.27 (~v224(constB125)),
% 50.14/33.27 inference(unit_resolution,[status(thm)],[30198, 10343, 30195])).
% 50.14/33.27 tff(30200,plain,
% 50.14/33.27 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB125) | v224(constB125) | (~v236(constB125)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB125) | v224(constB125) | (~v236(constB125)))),
% 50.14/33.27 inference(rewrite,[status(thm)],[])).
% 50.14/33.27 tff(30201,plain,
% 50.14/33.27 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB125) | v224(constB125) | (~v236(constB125)))),
% 50.14/33.27 inference(quant_inst,[status(thm)],[])).
% 50.14/33.27 tff(30202,plain,
% 50.14/33.27 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB125) | v224(constB125) | (~v236(constB125))),
% 50.14/33.27 inference(modus_ponens,[status(thm)],[30201, 30200])).
% 50.14/33.27 tff(30203,plain,
% 50.14/33.27 (~v236(constB125)),
% 50.14/33.27 inference(unit_resolution,[status(thm)],[30202, 8968, 30199, 30163])).
% 50.14/33.27 tff(30204,plain,
% 50.14/33.27 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB125) | (~v232(constB125)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB125) | (~v232(constB125)))),
% 50.14/33.27 inference(rewrite,[status(thm)],[])).
% 50.14/33.27 tff(30205,plain,
% 50.14/33.27 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB125) | (~v232(constB125)))),
% 50.14/33.27 inference(quant_inst,[status(thm)],[])).
% 50.14/33.27 tff(30206,plain,
% 50.14/33.27 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB125) | (~v232(constB125))),
% 50.14/33.27 inference(modus_ponens,[status(thm)],[30205, 30204])).
% 50.14/33.27 tff(30207,plain,
% 50.14/33.27 (~v232(constB125)),
% 50.14/33.27 inference(unit_resolution,[status(thm)],[30206, 8980, 30203])).
% 50.14/33.27 tff(30208,plain,
% 50.14/33.27 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB125) | v139(constB125) | (~v148(constB125)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB125) | v139(constB125) | (~v148(constB125)))),
% 50.14/33.27 inference(rewrite,[status(thm)],[])).
% 50.14/33.27 tff(30209,plain,
% 50.14/33.27 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB125) | v139(constB125) | (~v148(constB125)))),
% 50.14/33.27 inference(quant_inst,[status(thm)],[])).
% 50.14/33.27 tff(30210,plain,
% 50.14/33.27 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB125) | v139(constB125) | (~v148(constB125))),
% 50.14/33.27 inference(modus_ponens,[status(thm)],[30209, 30208])).
% 50.14/33.27 tff(30211,plain,
% 50.14/33.27 (~v148(constB125)),
% 50.14/33.27 inference(unit_resolution,[status(thm)],[30210, 9016, 30171, 30167])).
% 50.14/33.27 tff(30212,plain,
% 50.14/33.27 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB125) | (~v197(constB125)) | v148(constB125))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB125) | (~v197(constB125)) | v148(constB125))),
% 50.14/33.27 inference(rewrite,[status(thm)],[])).
% 50.14/33.27 tff(30213,plain,
% 50.14/33.27 ((v148(constB125) | (~v197(constB125)) | v252(constB125)) <=> (v252(constB125) | (~v197(constB125)) | v148(constB125))),
% 50.14/33.27 inference(rewrite,[status(thm)],[])).
% 50.14/33.27 tff(30214,plain,
% 50.14/33.27 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB125) | (~v197(constB125)) | v252(constB125))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB125) | (~v197(constB125)) | v148(constB125)))),
% 50.14/33.27 inference(monotonicity,[status(thm)],[30213])).
% 50.14/33.27 tff(30215,plain,
% 50.14/33.27 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB125) | (~v197(constB125)) | v252(constB125))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB125) | (~v197(constB125)) | v148(constB125))),
% 50.14/33.27 inference(transitivity,[status(thm)],[30214, 30212])).
% 50.14/33.27 tff(30216,plain,
% 50.14/33.27 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB125) | (~v197(constB125)) | v252(constB125))),
% 50.14/33.27 inference(quant_inst,[status(thm)],[])).
% 50.14/33.27 tff(30217,plain,
% 50.14/33.27 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB125) | (~v197(constB125)) | v148(constB125)),
% 50.14/33.27 inference(modus_ponens,[status(thm)],[30216, 30215])).
% 50.14/33.27 tff(30218,plain,
% 50.14/33.27 (v252(constB125) | (~v197(constB125))),
% 50.14/33.27 inference(unit_resolution,[status(thm)],[30217, 9033, 30211])).
% 50.14/33.27 tff(30219,plain,
% 50.14/33.27 (v252(constB125)),
% 50.14/33.27 inference(unit_resolution,[status(thm)],[30218, 30148])).
% 50.14/33.27 tff(30220,plain,
% 50.14/33.27 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB125)) | (~v223(constB125, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB125)) | (~v223(constB125, bitIndex3)))),
% 50.14/33.27 inference(rewrite,[status(thm)],[])).
% 50.14/33.27 tff(30221,plain,
% 50.14/33.27 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB125)) | (~v223(constB125, bitIndex3)))),
% 50.14/33.27 inference(quant_inst,[status(thm)],[])).
% 50.14/33.27 tff(30222,plain,
% 50.14/33.27 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB125)) | (~v223(constB125, bitIndex3))),
% 50.14/33.27 inference(modus_ponens,[status(thm)],[30221, 30220])).
% 50.14/33.27 tff(30223,plain,
% 50.14/33.27 (~v223(constB125, bitIndex3)),
% 50.14/33.27 inference(unit_resolution,[status(thm)],[30222, 9048, 30219])).
% 50.14/33.27 tff(30224,plain,
% 50.14/33.27 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB125)) | v223(constB125, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB125)) | v223(constB125, bitIndex3))),
% 50.14/33.27 inference(rewrite,[status(thm)],[])).
% 50.14/33.27 tff(30225,plain,
% 50.14/33.27 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB125)) | v223(constB125, bitIndex3))),
% 50.14/33.27 inference(quant_inst,[status(thm)],[])).
% 50.14/33.27 tff(30226,plain,
% 50.14/33.27 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB125)) | v223(constB125, bitIndex3)),
% 50.14/33.27 inference(modus_ponens,[status(thm)],[30225, 30224])).
% 50.14/33.27 tff(30227,plain,
% 50.14/33.27 (~v237(constB125)),
% 50.14/33.27 inference(unit_resolution,[status(thm)],[30226, 9062, 30223])).
% 50.14/33.27 tff(30228,plain,
% 50.14/33.27 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB125) | v232(constB125) | (~v248(constB125)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB125) | v232(constB125) | (~v248(constB125)))),
% 50.14/33.27 inference(rewrite,[status(thm)],[])).
% 50.14/33.27 tff(30229,plain,
% 50.14/33.27 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB125) | v232(constB125) | (~v248(constB125)))),
% 50.14/33.27 inference(quant_inst,[status(thm)],[])).
% 50.14/33.27 tff(30230,plain,
% 50.14/33.27 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB125) | v232(constB125) | (~v248(constB125))),
% 50.14/33.27 inference(modus_ponens,[status(thm)],[30229, 30228])).
% 50.14/33.27 tff(30231,plain,
% 50.14/33.27 (v232(constB125) | (~v248(constB125))),
% 50.14/33.27 inference(unit_resolution,[status(thm)],[30230, 9076, 30227])).
% 50.14/33.27 tff(30232,plain,
% 50.14/33.27 (~v248(constB125)),
% 50.14/33.27 inference(unit_resolution,[status(thm)],[30231, 30207])).
% 50.14/33.27 tff(30233,plain,
% 50.14/33.27 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB125) | (~v244(constB125)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB125) | (~v244(constB125)))),
% 50.14/33.27 inference(rewrite,[status(thm)],[])).
% 50.14/33.27 tff(30234,plain,
% 50.14/33.27 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB125) | (~v244(constB125)))),
% 50.14/33.27 inference(quant_inst,[status(thm)],[])).
% 50.14/33.27 tff(30235,plain,
% 50.14/33.27 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB125) | (~v244(constB125))),
% 50.14/33.27 inference(modus_ponens,[status(thm)],[30234, 30233])).
% 50.14/33.27 tff(30236,plain,
% 50.14/33.27 (~v244(constB125)),
% 50.14/33.27 inference(unit_resolution,[status(thm)],[30235, 11335, 30232])).
% 50.14/33.27 tff(30237,plain,
% 50.14/33.27 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB125) | (~v216(constB125, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB125) | (~v216(constB125, bitIndex1)))),
% 50.14/33.27 inference(rewrite,[status(thm)],[])).
% 50.14/33.27 tff(30238,plain,
% 50.14/33.27 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB125) | (~v216(constB125, bitIndex1)))),
% 50.14/33.27 inference(quant_inst,[status(thm)],[])).
% 50.14/33.27 tff(30239,plain,
% 50.14/33.27 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB125) | (~v216(constB125, bitIndex1))),
% 50.14/33.27 inference(modus_ponens,[status(thm)],[30238, 30237])).
% 50.14/33.27 tff(30240,plain,
% 50.14/33.27 (~v216(constB125, bitIndex1)),
% 50.14/33.27 inference(unit_resolution,[status(thm)],[30239, 11346, 30236])).
% 50.14/33.27 tff(30241,plain,
% 50.14/33.27 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB125, bitIndex1) | (~v254(constB125)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB125, bitIndex1) | (~v254(constB125)))),
% 50.14/33.27 inference(rewrite,[status(thm)],[])).
% 50.14/33.27 tff(30242,plain,
% 50.14/33.27 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB125, bitIndex1) | (~v254(constB125)))),
% 50.14/33.27 inference(quant_inst,[status(thm)],[])).
% 50.14/33.27 tff(30243,plain,
% 50.14/33.27 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB125, bitIndex1) | (~v254(constB125))),
% 50.14/33.27 inference(modus_ponens,[status(thm)],[30242, 30241])).
% 50.14/33.27 tff(30244,plain,
% 50.14/33.27 (~v254(constB125)),
% 50.14/33.27 inference(unit_resolution,[status(thm)],[30243, 11357, 30240])).
% 50.14/33.27 tff(30245,plain,
% 50.14/33.27 (((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB125) | (~v221(constB125)))) <=> ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB125) | (~v221(constB125)))),
% 50.14/33.27 inference(rewrite,[status(thm)],[])).
% 50.14/33.27 tff(30246,plain,
% 50.14/33.27 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB125) | (~v221(constB125)))),
% 50.14/33.27 inference(quant_inst,[status(thm)],[])).
% 50.14/33.27 tff(30247,plain,
% 50.14/33.27 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB125) | (~v221(constB125))),
% 50.14/33.27 inference(modus_ponens,[status(thm)],[30246, 30245])).
% 50.14/33.27 tff(30248,plain,
% 50.14/33.27 (~v221(constB125)),
% 50.14/33.27 inference(unit_resolution,[status(thm)],[30247, 11505, 30199])).
% 50.14/33.27 tff(30249,plain,
% 50.14/33.27 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB125) | (~v231(constB125)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB125) | (~v231(constB125)))),
% 50.14/33.27 inference(rewrite,[status(thm)],[])).
% 50.14/33.27 tff(30250,plain,
% 50.14/33.27 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB125) | (~v231(constB125)))),
% 50.14/33.27 inference(quant_inst,[status(thm)],[])).
% 50.14/33.27 tff(30251,plain,
% 50.14/33.27 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB125) | (~v231(constB125))),
% 50.14/33.27 inference(modus_ponens,[status(thm)],[30250, 30249])).
% 50.14/33.27 tff(30252,plain,
% 50.14/33.27 (~v231(constB125)),
% 50.14/33.27 inference(unit_resolution,[status(thm)],[30251, 11162, 30227])).
% 50.14/33.27 tff(30253,plain,
% 50.14/33.27 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB125) | v231(constB125) | (~v243(constB125)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB125) | v231(constB125) | (~v243(constB125)))),
% 50.14/33.27 inference(rewrite,[status(thm)],[])).
% 50.14/33.27 tff(30254,plain,
% 50.14/33.27 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB125) | v231(constB125) | (~v243(constB125)))),
% 50.14/33.27 inference(quant_inst,[status(thm)],[])).
% 50.14/33.27 tff(30255,plain,
% 50.14/33.27 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB125) | v231(constB125) | (~v243(constB125))),
% 50.14/33.27 inference(modus_ponens,[status(thm)],[30254, 30253])).
% 50.14/33.27 tff(30256,plain,
% 50.14/33.27 (~v243(constB125)),
% 50.14/33.27 inference(unit_resolution,[status(thm)],[30255, 11206, 30252, 30248])).
% 50.14/33.27 tff(30257,plain,
% 50.14/33.27 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB125) | v255(constB125))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB125) | v255(constB125))),
% 50.14/33.27 inference(rewrite,[status(thm)],[])).
% 50.14/33.27 tff(30258,plain,
% 50.14/33.27 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB125) | v255(constB125))),
% 50.14/33.27 inference(quant_inst,[status(thm)],[])).
% 50.14/33.27 tff(30259,plain,
% 50.14/33.27 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB125) | v255(constB125)),
% 50.14/33.27 inference(modus_ponens,[status(thm)],[30258, 30257])).
% 50.14/33.27 tff(30260,plain,
% 50.14/33.27 (v255(constB125)),
% 50.14/33.27 inference(unit_resolution,[status(thm)],[30259, 11222, 30256])).
% 50.14/33.27 tff(30261,plain,
% 50.14/33.27 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB125)) | (~v216(constB125, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB125)) | (~v216(constB125, bitIndex2)))),
% 50.14/33.27 inference(rewrite,[status(thm)],[])).
% 50.14/33.27 tff(30262,plain,
% 50.14/33.27 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB125)) | (~v216(constB125, bitIndex2)))),
% 50.14/33.27 inference(quant_inst,[status(thm)],[])).
% 50.14/33.27 tff(30263,plain,
% 50.14/33.27 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB125)) | (~v216(constB125, bitIndex2))),
% 50.14/33.27 inference(modus_ponens,[status(thm)],[30262, 30261])).
% 50.14/33.27 tff(30264,plain,
% 50.14/33.27 (~v216(constB125, bitIndex2)),
% 50.14/33.27 inference(unit_resolution,[status(thm)],[30263, 11237, 30260])).
% 50.14/33.27 tff(30265,plain,
% 50.14/33.27 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB125, bitIndex2) | v254(constB125) | (~v215(constB125)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB125, bitIndex2) | v254(constB125) | (~v215(constB125)))),
% 50.14/33.27 inference(rewrite,[status(thm)],[])).
% 50.14/33.27 tff(30266,plain,
% 50.14/33.27 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB125, bitIndex2) | v254(constB125) | (~v215(constB125)))),
% 50.14/33.27 inference(quant_inst,[status(thm)],[])).
% 50.14/33.27 tff(30267,plain,
% 50.14/33.27 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB125, bitIndex2) | v254(constB125) | (~v215(constB125))),
% 50.14/33.27 inference(modus_ponens,[status(thm)],[30266, 30265])).
% 50.14/33.27 tff(30268,plain,
% 50.14/33.27 (v254(constB125) | (~v215(constB125))),
% 50.14/33.27 inference(unit_resolution,[status(thm)],[30267, 11278, 30264])).
% 50.14/33.27 tff(30269,plain,
% 50.14/33.27 (~v215(constB125)),
% 50.14/33.27 inference(unit_resolution,[status(thm)],[30268, 30244])).
% 50.14/33.27 tff(30270,plain,
% 50.14/33.27 ($false),
% 50.14/33.27 inference(unit_resolution,[status(thm)],[30269, 30113])).
% 50.14/33.27 tff(30271,plain,(~(constB125 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.14/33.27 tff(30272,assumption,(constB141 = sK0_VarCurr), introduced(assumption)).
% 50.14/33.27 tff(30273,plain,
% 50.14/33.27 (v215(constB141) <=> v215(sK0_VarCurr)),
% 50.14/33.27 inference(monotonicity,[status(thm)],[30272])).
% 50.14/33.27 tff(30274,plain,
% 50.14/33.27 (v215(sK0_VarCurr) <=> v215(constB141)),
% 50.14/33.27 inference(symmetry,[status(thm)],[30273])).
% 50.14/33.27 tff(30275,plain,
% 50.14/33.27 (v215(constB141)),
% 50.14/33.27 inference(modus_ponens,[status(thm)],[11268, 30274])).
% 50.14/33.27 tff(30276,plain,
% 50.14/33.27 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB141, bitIndex2) | (~v88(constB141, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB141, bitIndex2) | (~v88(constB141, bitIndex2)))),
% 50.14/33.27 inference(rewrite,[status(thm)],[])).
% 50.14/33.27 tff(30277,plain,
% 50.14/33.27 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB141, bitIndex2) | (~v88(constB141, bitIndex2)))),
% 50.14/33.27 inference(quant_inst,[status(thm)],[])).
% 50.14/33.27 tff(30278,plain,
% 50.14/33.27 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB141, bitIndex2) | (~v88(constB141, bitIndex2))),
% 50.14/33.28 inference(modus_ponens,[status(thm)],[30277, 30276])).
% 50.14/33.28 tff(30279,plain,
% 50.14/33.28 (~v88(constB141, bitIndex2)),
% 50.14/33.28 inference(unit_resolution,[status(thm)],[30278, 8769, 19692])).
% 50.14/33.28 tff(30280,plain,
% 50.14/33.28 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB141, bitIndex1)) | v88(constB141, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB141, bitIndex1)) | v88(constB141, bitIndex1))),
% 50.14/33.28 inference(rewrite,[status(thm)],[])).
% 50.14/33.28 tff(30281,plain,
% 50.14/33.28 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB141, bitIndex1)) | v88(constB141, bitIndex1))),
% 50.14/33.28 inference(quant_inst,[status(thm)],[])).
% 50.14/33.28 tff(30282,plain,
% 50.14/33.28 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB141, bitIndex1)) | v88(constB141, bitIndex1)),
% 50.14/33.28 inference(modus_ponens,[status(thm)],[30281, 30280])).
% 50.14/33.28 tff(30283,plain,
% 50.14/33.28 (v88(constB141, bitIndex1)),
% 50.14/33.28 inference(unit_resolution,[status(thm)],[30282, 8707, 19723])).
% 50.14/33.28 tff(30284,plain,
% 50.14/33.28 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB141, bitIndex0)) | v88(constB141, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB141, bitIndex0)) | v88(constB141, bitIndex0))),
% 50.14/33.28 inference(rewrite,[status(thm)],[])).
% 50.14/33.28 tff(30285,plain,
% 50.14/33.28 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB141, bitIndex0)) | v88(constB141, bitIndex0))),
% 50.14/33.28 inference(quant_inst,[status(thm)],[])).
% 50.14/33.28 tff(30286,plain,
% 50.14/33.28 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB141, bitIndex0)) | v88(constB141, bitIndex0)),
% 50.14/33.28 inference(modus_ponens,[status(thm)],[30285, 30284])).
% 50.14/33.28 tff(30287,plain,
% 50.14/33.28 (v88(constB141, bitIndex0)),
% 50.14/33.28 inference(unit_resolution,[status(thm)],[30286, 8662, 19754])).
% 50.14/33.28 tff(30288,plain,
% 50.14/33.28 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB141, bitIndex1)) | v88(constB141, bitIndex2) | (~v88(constB141, bitIndex0)) | v141(constB141))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB141, bitIndex1)) | v88(constB141, bitIndex2) | (~v88(constB141, bitIndex0)) | v141(constB141))),
% 50.14/33.28 inference(rewrite,[status(thm)],[])).
% 50.14/33.28 tff(30289,plain,
% 50.14/33.28 ((v88(constB141, bitIndex2) | (~v88(constB141, bitIndex1)) | (~v88(constB141, bitIndex0)) | v141(constB141)) <=> ((~v88(constB141, bitIndex1)) | v88(constB141, bitIndex2) | (~v88(constB141, bitIndex0)) | v141(constB141))),
% 50.14/33.28 inference(rewrite,[status(thm)],[])).
% 50.14/33.28 tff(30290,plain,
% 50.14/33.28 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB141, bitIndex2) | (~v88(constB141, bitIndex1)) | (~v88(constB141, bitIndex0)) | v141(constB141))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB141, bitIndex1)) | v88(constB141, bitIndex2) | (~v88(constB141, bitIndex0)) | v141(constB141)))),
% 50.14/33.28 inference(monotonicity,[status(thm)],[30289])).
% 50.14/33.28 tff(30291,plain,
% 50.14/33.28 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB141, bitIndex2) | (~v88(constB141, bitIndex1)) | (~v88(constB141, bitIndex0)) | v141(constB141))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB141, bitIndex1)) | v88(constB141, bitIndex2) | (~v88(constB141, bitIndex0)) | v141(constB141))),
% 50.14/33.28 inference(transitivity,[status(thm)],[30290, 30288])).
% 50.14/33.28 tff(30292,plain,
% 50.14/33.28 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB141, bitIndex2) | (~v88(constB141, bitIndex1)) | (~v88(constB141, bitIndex0)) | v141(constB141))),
% 50.14/33.28 inference(quant_inst,[status(thm)],[])).
% 50.14/33.28 tff(30293,plain,
% 50.14/33.28 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB141, bitIndex1)) | v88(constB141, bitIndex2) | (~v88(constB141, bitIndex0)) | v141(constB141)),
% 50.14/33.28 inference(modus_ponens,[status(thm)],[30292, 30291])).
% 50.14/33.28 tff(30294,plain,
% 50.14/33.28 (v141(constB141)),
% 50.14/33.28 inference(unit_resolution,[status(thm)],[30293, 8783, 30287, 30283, 30279])).
% 50.14/33.28 tff(30295,plain,
% 50.14/33.28 (((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB141) | (~v141(constB141)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB141) | (~v141(constB141)))),
% 50.14/33.28 inference(rewrite,[status(thm)],[])).
% 50.14/33.28 tff(30296,plain,
% 50.14/33.28 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB141) | (~v141(constB141)))),
% 50.14/33.28 inference(quant_inst,[status(thm)],[])).
% 50.14/33.28 tff(30297,plain,
% 50.14/33.28 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB141) | (~v141(constB141))),
% 50.14/33.28 inference(modus_ponens,[status(thm)],[30296, 30295])).
% 50.14/33.28 tff(30298,plain,
% 50.14/33.28 (v199(constB141)),
% 50.14/33.28 inference(unit_resolution,[status(thm)],[30297, 8798, 30294])).
% 50.14/33.28 tff(30299,plain,
% 50.14/33.28 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB141) | (~v199(constB141)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB141) | (~v199(constB141)))),
% 50.14/33.28 inference(rewrite,[status(thm)],[])).
% 50.14/33.28 tff(30300,plain,
% 50.14/33.28 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB141) | (~v199(constB141)))),
% 50.14/33.28 inference(quant_inst,[status(thm)],[])).
% 50.14/33.28 tff(30301,plain,
% 50.14/33.28 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB141) | (~v199(constB141))),
% 50.14/33.28 inference(modus_ponens,[status(thm)],[30300, 30299])).
% 50.14/33.28 tff(30302,plain,
% 50.14/33.28 (v198(constB141)),
% 50.14/33.28 inference(unit_resolution,[status(thm)],[30301, 8809, 30298])).
% 50.14/33.28 tff(30303,plain,
% 50.14/33.28 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB141)) | (~v201(constB141)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB141)) | (~v201(constB141)))),
% 50.14/33.28 inference(rewrite,[status(thm)],[])).
% 50.14/33.28 tff(30304,plain,
% 50.14/33.28 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB141)) | (~v201(constB141)))),
% 50.14/33.28 inference(quant_inst,[status(thm)],[])).
% 50.14/33.28 tff(30305,plain,
% 50.14/33.28 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB141)) | (~v201(constB141))),
% 50.14/33.28 inference(modus_ponens,[status(thm)],[30304, 30303])).
% 50.14/33.28 tff(30306,plain,
% 50.14/33.28 (~v201(constB141)),
% 50.14/33.28 inference(unit_resolution,[status(thm)],[30305, 8823, 30302])).
% 50.14/33.28 tff(30307,plain,
% 50.14/33.28 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB141) | (~v198(constB141)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB141) | (~v198(constB141)))),
% 50.14/33.28 inference(rewrite,[status(thm)],[])).
% 50.14/33.28 tff(30308,plain,
% 50.14/33.28 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB141) | (~v198(constB141)))),
% 50.14/33.28 inference(quant_inst,[status(thm)],[])).
% 50.14/33.28 tff(30309,plain,
% 50.14/33.28 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB141) | (~v198(constB141))),
% 50.14/33.28 inference(modus_ponens,[status(thm)],[30308, 30307])).
% 50.14/33.28 tff(30310,plain,
% 50.14/33.28 (v197(constB141)),
% 50.14/33.28 inference(unit_resolution,[status(thm)],[30309, 8834, 30302])).
% 50.14/33.28 tff(30311,plain,
% 50.14/33.28 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB141) | (~v197(constB141)) | v201(constB141))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB141) | (~v197(constB141)) | v201(constB141))),
% 50.14/33.28 inference(rewrite,[status(thm)],[])).
% 50.14/33.28 tff(30312,plain,
% 50.14/33.28 (((~v197(constB141)) | v201(constB141) | v227(constB141)) <=> (v227(constB141) | (~v197(constB141)) | v201(constB141))),
% 50.14/33.28 inference(rewrite,[status(thm)],[])).
% 50.14/33.28 tff(30313,plain,
% 50.14/33.28 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB141)) | v201(constB141) | v227(constB141))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB141) | (~v197(constB141)) | v201(constB141)))),
% 50.14/33.28 inference(monotonicity,[status(thm)],[30312])).
% 50.14/33.28 tff(30314,plain,
% 50.14/33.28 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB141)) | v201(constB141) | v227(constB141))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB141) | (~v197(constB141)) | v201(constB141))),
% 50.14/33.28 inference(transitivity,[status(thm)],[30313, 30311])).
% 50.14/33.28 tff(30315,plain,
% 50.14/33.28 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB141)) | v201(constB141) | v227(constB141))),
% 50.14/33.28 inference(quant_inst,[status(thm)],[])).
% 50.14/33.28 tff(30316,plain,
% 50.14/33.28 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB141) | (~v197(constB141)) | v201(constB141)),
% 50.14/33.28 inference(modus_ponens,[status(thm)],[30315, 30314])).
% 50.14/33.28 tff(30317,plain,
% 50.14/33.28 (v227(constB141)),
% 50.14/33.28 inference(unit_resolution,[status(thm)],[30316, 8848, 30310, 30306])).
% 50.14/33.28 tff(30318,plain,
% 50.14/33.28 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB141)) | (~v223(constB141, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB141)) | (~v223(constB141, bitIndex0)))),
% 50.14/33.28 inference(rewrite,[status(thm)],[])).
% 50.14/33.28 tff(30319,plain,
% 50.14/33.28 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB141)) | (~v223(constB141, bitIndex0)))),
% 50.14/33.28 inference(quant_inst,[status(thm)],[])).
% 50.14/33.28 tff(30320,plain,
% 50.14/33.28 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB141)) | (~v223(constB141, bitIndex0))),
% 50.14/33.28 inference(modus_ponens,[status(thm)],[30319, 30318])).
% 50.14/33.28 tff(30321,plain,
% 50.14/33.28 (~v223(constB141, bitIndex0)),
% 50.14/33.28 inference(unit_resolution,[status(thm)],[30320, 8862, 30317])).
% 50.14/33.28 tff(30322,plain,
% 50.14/33.28 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB141)) | (~v199(constB141)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB141)) | (~v199(constB141)))),
% 50.14/33.28 inference(rewrite,[status(thm)],[])).
% 50.14/33.28 tff(30323,plain,
% 50.14/33.28 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB141)) | (~v199(constB141)))),
% 50.14/33.28 inference(quant_inst,[status(thm)],[])).
% 50.14/33.28 tff(30324,plain,
% 50.14/33.28 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB141)) | (~v199(constB141))),
% 50.14/33.28 inference(modus_ponens,[status(thm)],[30323, 30322])).
% 50.14/33.28 tff(30325,plain,
% 50.14/33.28 (~v183(constB141)),
% 50.14/33.28 inference(unit_resolution,[status(thm)],[30324, 8873, 30298])).
% 50.14/33.28 tff(30326,plain,
% 50.14/33.28 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB141) | (~v197(constB141)) | v183(constB141))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB141) | (~v197(constB141)) | v183(constB141))),
% 50.14/33.28 inference(rewrite,[status(thm)],[])).
% 50.14/33.28 tff(30327,plain,
% 50.14/33.28 (((~v197(constB141)) | v183(constB141) | v228(constB141)) <=> (v228(constB141) | (~v197(constB141)) | v183(constB141))),
% 50.14/33.28 inference(rewrite,[status(thm)],[])).
% 50.14/33.28 tff(30328,plain,
% 50.14/33.28 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB141)) | v183(constB141) | v228(constB141))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB141) | (~v197(constB141)) | v183(constB141)))),
% 50.14/33.28 inference(monotonicity,[status(thm)],[30327])).
% 50.14/33.28 tff(30329,plain,
% 50.14/33.28 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB141)) | v183(constB141) | v228(constB141))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB141) | (~v197(constB141)) | v183(constB141))),
% 50.14/33.28 inference(transitivity,[status(thm)],[30328, 30326])).
% 50.14/33.28 tff(30330,plain,
% 50.14/33.28 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB141)) | v183(constB141) | v228(constB141))),
% 50.14/33.28 inference(quant_inst,[status(thm)],[])).
% 50.14/33.28 tff(30331,plain,
% 50.14/33.28 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB141) | (~v197(constB141)) | v183(constB141)),
% 50.14/33.28 inference(modus_ponens,[status(thm)],[30330, 30329])).
% 50.14/33.28 tff(30332,plain,
% 50.14/33.28 (v228(constB141)),
% 50.14/33.28 inference(unit_resolution,[status(thm)],[30331, 8887, 30310, 30325])).
% 50.14/33.28 tff(30333,plain,
% 50.14/33.28 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB141)) | (~v223(constB141, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB141)) | (~v223(constB141, bitIndex1)))),
% 50.14/33.28 inference(rewrite,[status(thm)],[])).
% 50.14/33.28 tff(30334,plain,
% 50.14/33.28 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB141)) | (~v223(constB141, bitIndex1)))),
% 50.14/33.28 inference(quant_inst,[status(thm)],[])).
% 50.14/33.28 tff(30335,plain,
% 50.14/33.28 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB141)) | (~v223(constB141, bitIndex1))),
% 50.14/33.28 inference(modus_ponens,[status(thm)],[30334, 30333])).
% 50.14/33.28 tff(30336,plain,
% 50.14/33.28 (~v223(constB141, bitIndex1)),
% 50.14/33.28 inference(unit_resolution,[status(thm)],[30335, 8901, 30332])).
% 50.14/33.28 tff(30337,plain,
% 50.14/33.28 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB141, bitIndex1) | v223(constB141, bitIndex0) | (~v229(constB141)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB141, bitIndex1) | v223(constB141, bitIndex0) | (~v229(constB141)))),
% 50.14/33.28 inference(rewrite,[status(thm)],[])).
% 50.14/33.28 tff(30338,plain,
% 50.14/33.28 ((v223(constB141, bitIndex0) | v223(constB141, bitIndex1) | (~v229(constB141))) <=> (v223(constB141, bitIndex1) | v223(constB141, bitIndex0) | (~v229(constB141)))),
% 50.14/33.28 inference(rewrite,[status(thm)],[])).
% 50.14/33.28 tff(30339,plain,
% 50.14/33.28 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB141, bitIndex0) | v223(constB141, bitIndex1) | (~v229(constB141)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB141, bitIndex1) | v223(constB141, bitIndex0) | (~v229(constB141))))),
% 50.14/33.28 inference(monotonicity,[status(thm)],[30338])).
% 50.14/33.28 tff(30340,plain,
% 50.14/33.28 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB141, bitIndex0) | v223(constB141, bitIndex1) | (~v229(constB141)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB141, bitIndex1) | v223(constB141, bitIndex0) | (~v229(constB141)))),
% 50.14/33.28 inference(transitivity,[status(thm)],[30339, 30337])).
% 50.14/33.28 tff(30341,plain,
% 50.14/33.28 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB141, bitIndex0) | v223(constB141, bitIndex1) | (~v229(constB141)))),
% 50.14/33.28 inference(quant_inst,[status(thm)],[])).
% 50.14/33.28 tff(30342,plain,
% 50.14/33.28 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB141, bitIndex1) | v223(constB141, bitIndex0) | (~v229(constB141))),
% 50.14/33.28 inference(modus_ponens,[status(thm)],[30341, 30340])).
% 50.14/33.28 tff(30343,plain,
% 50.14/33.28 (~v229(constB141)),
% 50.14/33.28 inference(unit_resolution,[status(thm)],[30342, 8915, 30336, 30321])).
% 50.14/33.28 tff(30344,plain,
% 50.14/33.28 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB141) | (~v225(constB141)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB141) | (~v225(constB141)))),
% 50.14/33.28 inference(rewrite,[status(thm)],[])).
% 50.14/33.28 tff(30345,plain,
% 50.14/33.28 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB141) | (~v225(constB141)))),
% 50.14/33.28 inference(quant_inst,[status(thm)],[])).
% 50.14/33.28 tff(30346,plain,
% 50.14/33.28 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB141) | (~v225(constB141))),
% 50.14/33.28 inference(modus_ponens,[status(thm)],[30345, 30344])).
% 50.14/33.28 tff(30347,plain,
% 50.14/33.28 (~v225(constB141)),
% 50.14/33.28 inference(unit_resolution,[status(thm)],[30346, 8929, 30343])).
% 50.14/33.28 tff(30348,plain,
% 50.14/33.28 (((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB141) | (~v224(constB141)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB141) | (~v224(constB141)))),
% 50.14/33.28 inference(rewrite,[status(thm)],[])).
% 50.14/33.28 tff(30349,plain,
% 50.14/33.28 ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB141) | (~v224(constB141)))),
% 50.14/33.28 inference(quant_inst,[status(thm)],[])).
% 50.14/33.28 tff(30350,plain,
% 50.14/33.28 ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB141) | (~v224(constB141))),
% 50.14/33.28 inference(modus_ponens,[status(thm)],[30349, 30348])).
% 50.14/33.28 tff(30351,plain,
% 50.14/33.28 (~v224(constB141)),
% 50.14/33.28 inference(unit_resolution,[status(thm)],[30350, 8940, 30347])).
% 50.14/33.28 tff(30352,plain,
% 50.14/33.28 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB141)) | v223(constB141, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB141)) | v223(constB141, bitIndex1))),
% 50.14/33.28 inference(rewrite,[status(thm)],[])).
% 50.14/33.28 tff(30353,plain,
% 50.14/33.28 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB141)) | v223(constB141, bitIndex1))),
% 50.14/33.28 inference(quant_inst,[status(thm)],[])).
% 50.14/33.28 tff(30354,plain,
% 50.14/33.28 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB141)) | v223(constB141, bitIndex1)),
% 50.14/33.28 inference(modus_ponens,[status(thm)],[30353, 30352])).
% 50.14/33.28 tff(30355,plain,
% 50.14/33.28 (~v222(constB141)),
% 50.14/33.28 inference(unit_resolution,[status(thm)],[30354, 8954, 30336])).
% 50.14/33.28 tff(30356,plain,
% 50.14/33.28 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB141) | v224(constB141) | (~v236(constB141)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB141) | v224(constB141) | (~v236(constB141)))),
% 50.14/33.28 inference(rewrite,[status(thm)],[])).
% 50.14/33.28 tff(30357,plain,
% 50.14/33.28 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB141) | v224(constB141) | (~v236(constB141)))),
% 50.14/33.28 inference(quant_inst,[status(thm)],[])).
% 50.14/33.28 tff(30358,plain,
% 50.14/33.28 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB141) | v224(constB141) | (~v236(constB141))),
% 50.14/33.28 inference(modus_ponens,[status(thm)],[30357, 30356])).
% 50.14/33.28 tff(30359,plain,
% 50.14/33.28 (v224(constB141) | (~v236(constB141))),
% 50.14/33.28 inference(unit_resolution,[status(thm)],[30358, 8968, 30355])).
% 50.14/33.28 tff(30360,plain,
% 50.14/33.28 (~v236(constB141)),
% 50.14/33.28 inference(unit_resolution,[status(thm)],[30359, 30351])).
% 50.14/33.28 tff(30361,plain,
% 50.14/33.28 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB141) | (~v232(constB141)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB141) | (~v232(constB141)))),
% 50.14/33.28 inference(rewrite,[status(thm)],[])).
% 50.14/33.28 tff(30362,plain,
% 50.14/33.28 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB141) | (~v232(constB141)))),
% 50.14/33.28 inference(quant_inst,[status(thm)],[])).
% 50.14/33.28 tff(30363,plain,
% 50.14/33.28 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB141) | (~v232(constB141))),
% 50.14/33.28 inference(modus_ponens,[status(thm)],[30362, 30361])).
% 50.14/33.28 tff(30364,plain,
% 50.14/33.28 (~v232(constB141)),
% 50.14/33.28 inference(unit_resolution,[status(thm)],[30363, 8980, 30360])).
% 50.14/33.28 tff(30365,plain,
% 50.14/33.28 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v140(constB141)) | (~v88(constB141, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v140(constB141)) | (~v88(constB141, bitIndex1)))),
% 50.14/33.28 inference(rewrite,[status(thm)],[])).
% 50.14/33.28 tff(30366,plain,
% 50.14/33.28 (((~v88(constB141, bitIndex1)) | (~v140(constB141))) <=> ((~v140(constB141)) | (~v88(constB141, bitIndex1)))),
% 50.14/33.28 inference(rewrite,[status(thm)],[])).
% 50.14/33.28 tff(30367,plain,
% 50.14/33.28 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB141, bitIndex1)) | (~v140(constB141)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v140(constB141)) | (~v88(constB141, bitIndex1))))),
% 50.14/33.28 inference(monotonicity,[status(thm)],[30366])).
% 50.14/33.28 tff(30368,plain,
% 50.14/33.28 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB141, bitIndex1)) | (~v140(constB141)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v140(constB141)) | (~v88(constB141, bitIndex1)))),
% 50.14/33.28 inference(transitivity,[status(thm)],[30367, 30365])).
% 50.14/33.28 tff(30369,plain,
% 50.14/33.28 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB141, bitIndex1)) | (~v140(constB141)))),
% 50.14/33.28 inference(quant_inst,[status(thm)],[])).
% 50.14/33.28 tff(30370,plain,
% 50.14/33.28 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v140(constB141)) | (~v88(constB141, bitIndex1))),
% 50.14/33.28 inference(modus_ponens,[status(thm)],[30369, 30368])).
% 50.14/33.28 tff(30371,plain,
% 50.14/33.28 (~v140(constB141)),
% 50.14/33.28 inference(unit_resolution,[status(thm)],[30370, 9002, 30283])).
% 50.14/33.28 tff(30372,plain,
% 50.14/33.28 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v139(constB141)) | (~v88(constB141, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v139(constB141)) | (~v88(constB141, bitIndex0)))),
% 50.14/33.28 inference(rewrite,[status(thm)],[])).
% 50.14/33.28 tff(30373,plain,
% 50.14/33.28 (((~v88(constB141, bitIndex0)) | (~v139(constB141))) <=> ((~v139(constB141)) | (~v88(constB141, bitIndex0)))),
% 50.14/33.28 inference(rewrite,[status(thm)],[])).
% 50.14/33.28 tff(30374,plain,
% 50.14/33.28 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB141, bitIndex0)) | (~v139(constB141)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v139(constB141)) | (~v88(constB141, bitIndex0))))),
% 50.14/33.28 inference(monotonicity,[status(thm)],[30373])).
% 50.14/33.28 tff(30375,plain,
% 50.14/33.28 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB141, bitIndex0)) | (~v139(constB141)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v139(constB141)) | (~v88(constB141, bitIndex0)))),
% 50.14/33.28 inference(transitivity,[status(thm)],[30374, 30372])).
% 50.14/33.28 tff(30376,plain,
% 50.14/33.28 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB141, bitIndex0)) | (~v139(constB141)))),
% 50.14/33.28 inference(quant_inst,[status(thm)],[])).
% 50.14/33.28 tff(30377,plain,
% 50.14/33.28 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v139(constB141)) | (~v88(constB141, bitIndex0))),
% 50.14/33.28 inference(modus_ponens,[status(thm)],[30376, 30375])).
% 50.14/33.28 tff(30378,plain,
% 50.14/33.28 (~v139(constB141)),
% 50.14/33.28 inference(unit_resolution,[status(thm)],[30377, 8991, 30287])).
% 50.14/33.28 tff(30379,plain,
% 50.14/33.28 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | ((~v148(constB141)) | v140(constB141) | v139(constB141))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (~v148(constB141)) | v140(constB141) | v139(constB141))),
% 50.14/33.28 inference(rewrite,[status(thm)],[])).
% 50.14/33.28 tff(30380,plain,
% 50.14/33.28 ((v140(constB141) | v139(constB141) | (~v148(constB141))) <=> ((~v148(constB141)) | v140(constB141) | v139(constB141))),
% 50.14/33.28 inference(rewrite,[status(thm)],[])).
% 50.14/33.28 tff(30381,plain,
% 50.14/33.28 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB141) | v139(constB141) | (~v148(constB141)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | ((~v148(constB141)) | v140(constB141) | v139(constB141)))),
% 50.14/33.28 inference(monotonicity,[status(thm)],[30380])).
% 50.14/33.28 tff(30382,plain,
% 50.14/33.28 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB141) | v139(constB141) | (~v148(constB141)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (~v148(constB141)) | v140(constB141) | v139(constB141))),
% 50.14/33.28 inference(transitivity,[status(thm)],[30381, 30379])).
% 50.14/33.28 tff(30383,plain,
% 50.14/33.28 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB141) | v139(constB141) | (~v148(constB141)))),
% 50.14/33.28 inference(quant_inst,[status(thm)],[])).
% 50.14/33.28 tff(30384,plain,
% 50.14/33.28 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (~v148(constB141)) | v140(constB141) | v139(constB141)),
% 50.14/33.28 inference(modus_ponens,[status(thm)],[30383, 30382])).
% 50.14/33.28 tff(30385,plain,
% 50.14/33.28 (~v148(constB141)),
% 50.14/33.28 inference(unit_resolution,[status(thm)],[30384, 9016, 30378, 30371])).
% 50.14/33.28 tff(30386,plain,
% 50.14/33.28 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB141) | v148(constB141) | (~v197(constB141)))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB141) | v148(constB141) | (~v197(constB141)))),
% 50.14/33.28 inference(rewrite,[status(thm)],[])).
% 50.14/33.28 tff(30387,plain,
% 50.14/33.28 ((v148(constB141) | (~v197(constB141)) | v252(constB141)) <=> (v252(constB141) | v148(constB141) | (~v197(constB141)))),
% 50.14/33.28 inference(rewrite,[status(thm)],[])).
% 50.14/33.28 tff(30388,plain,
% 50.14/33.28 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB141) | (~v197(constB141)) | v252(constB141))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB141) | v148(constB141) | (~v197(constB141))))),
% 50.14/33.28 inference(monotonicity,[status(thm)],[30387])).
% 50.14/33.28 tff(30389,plain,
% 50.14/33.28 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB141) | (~v197(constB141)) | v252(constB141))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB141) | v148(constB141) | (~v197(constB141)))),
% 50.14/33.28 inference(transitivity,[status(thm)],[30388, 30386])).
% 50.14/33.28 tff(30390,plain,
% 50.14/33.28 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB141) | (~v197(constB141)) | v252(constB141))),
% 50.14/33.28 inference(quant_inst,[status(thm)],[])).
% 50.14/33.28 tff(30391,plain,
% 50.14/33.28 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB141) | v148(constB141) | (~v197(constB141))),
% 50.14/33.28 inference(modus_ponens,[status(thm)],[30390, 30389])).
% 50.14/33.28 tff(30392,plain,
% 50.14/33.28 (v252(constB141) | (~v197(constB141))),
% 50.14/33.28 inference(unit_resolution,[status(thm)],[30391, 9033, 30385])).
% 50.14/33.28 tff(30393,plain,
% 50.14/33.28 (v252(constB141)),
% 50.14/33.28 inference(unit_resolution,[status(thm)],[30392, 30310])).
% 50.14/33.28 tff(30394,plain,
% 50.14/33.28 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB141)) | (~v223(constB141, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB141)) | (~v223(constB141, bitIndex3)))),
% 50.14/33.28 inference(rewrite,[status(thm)],[])).
% 50.14/33.28 tff(30395,plain,
% 50.14/33.28 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB141)) | (~v223(constB141, bitIndex3)))),
% 50.14/33.28 inference(quant_inst,[status(thm)],[])).
% 50.14/33.28 tff(30396,plain,
% 50.14/33.28 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB141)) | (~v223(constB141, bitIndex3))),
% 50.14/33.28 inference(modus_ponens,[status(thm)],[30395, 30394])).
% 50.14/33.28 tff(30397,plain,
% 50.14/33.28 (~v223(constB141, bitIndex3)),
% 50.14/33.28 inference(unit_resolution,[status(thm)],[30396, 9048, 30393])).
% 50.14/33.28 tff(30398,plain,
% 50.14/33.28 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB141)) | v223(constB141, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB141)) | v223(constB141, bitIndex3))),
% 50.14/33.28 inference(rewrite,[status(thm)],[])).
% 50.14/33.28 tff(30399,plain,
% 50.14/33.28 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB141)) | v223(constB141, bitIndex3))),
% 50.14/33.28 inference(quant_inst,[status(thm)],[])).
% 50.14/33.28 tff(30400,plain,
% 50.14/33.28 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB141)) | v223(constB141, bitIndex3)),
% 50.14/33.28 inference(modus_ponens,[status(thm)],[30399, 30398])).
% 50.14/33.28 tff(30401,plain,
% 50.14/33.28 (~v237(constB141)),
% 50.14/33.28 inference(unit_resolution,[status(thm)],[30400, 9062, 30397])).
% 50.14/33.28 tff(30402,plain,
% 50.14/33.28 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB141) | v232(constB141) | (~v248(constB141)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB141) | v232(constB141) | (~v248(constB141)))),
% 50.14/33.28 inference(rewrite,[status(thm)],[])).
% 50.14/33.28 tff(30403,plain,
% 50.14/33.28 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB141) | v232(constB141) | (~v248(constB141)))),
% 50.14/33.28 inference(quant_inst,[status(thm)],[])).
% 50.14/33.28 tff(30404,plain,
% 50.14/33.28 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB141) | v232(constB141) | (~v248(constB141))),
% 50.14/33.28 inference(modus_ponens,[status(thm)],[30403, 30402])).
% 50.14/33.28 tff(30405,plain,
% 50.14/33.28 (v232(constB141) | (~v248(constB141))),
% 50.14/33.28 inference(unit_resolution,[status(thm)],[30404, 9076, 30401])).
% 50.14/33.28 tff(30406,plain,
% 50.14/33.28 (~v248(constB141)),
% 50.14/33.28 inference(unit_resolution,[status(thm)],[30405, 30364])).
% 50.14/33.28 tff(30407,plain,
% 50.14/33.28 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB141) | (~v244(constB141)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB141) | (~v244(constB141)))),
% 50.14/33.28 inference(rewrite,[status(thm)],[])).
% 50.14/33.28 tff(30408,plain,
% 50.14/33.28 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB141) | (~v244(constB141)))),
% 50.14/33.28 inference(quant_inst,[status(thm)],[])).
% 50.14/33.28 tff(30409,plain,
% 50.14/33.28 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB141) | (~v244(constB141))),
% 50.14/33.28 inference(modus_ponens,[status(thm)],[30408, 30407])).
% 50.14/33.28 tff(30410,plain,
% 50.14/33.28 (~v244(constB141)),
% 50.14/33.28 inference(unit_resolution,[status(thm)],[30409, 11335, 30406])).
% 50.14/33.28 tff(30411,plain,
% 50.14/33.28 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB141) | (~v216(constB141, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB141) | (~v216(constB141, bitIndex1)))),
% 50.14/33.28 inference(rewrite,[status(thm)],[])).
% 50.14/33.28 tff(30412,plain,
% 50.14/33.28 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB141) | (~v216(constB141, bitIndex1)))),
% 50.14/33.28 inference(quant_inst,[status(thm)],[])).
% 50.14/33.28 tff(30413,plain,
% 50.14/33.28 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB141) | (~v216(constB141, bitIndex1))),
% 50.14/33.28 inference(modus_ponens,[status(thm)],[30412, 30411])).
% 50.14/33.28 tff(30414,plain,
% 50.14/33.28 (~v216(constB141, bitIndex1)),
% 50.14/33.28 inference(unit_resolution,[status(thm)],[30413, 11346, 30410])).
% 50.14/33.28 tff(30415,plain,
% 50.14/33.28 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | ((~v254(constB141)) | v216(constB141, bitIndex1))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB141)) | v216(constB141, bitIndex1))),
% 50.14/33.28 inference(rewrite,[status(thm)],[])).
% 50.14/33.28 tff(30416,plain,
% 50.14/33.28 ((v216(constB141, bitIndex1) | (~v254(constB141))) <=> ((~v254(constB141)) | v216(constB141, bitIndex1))),
% 50.14/33.28 inference(rewrite,[status(thm)],[])).
% 50.14/33.28 tff(30417,plain,
% 50.14/33.28 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB141, bitIndex1) | (~v254(constB141)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | ((~v254(constB141)) | v216(constB141, bitIndex1)))),
% 50.14/33.28 inference(monotonicity,[status(thm)],[30416])).
% 50.14/33.28 tff(30418,plain,
% 50.14/33.28 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB141, bitIndex1) | (~v254(constB141)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB141)) | v216(constB141, bitIndex1))),
% 50.14/33.28 inference(transitivity,[status(thm)],[30417, 30415])).
% 50.14/33.28 tff(30419,plain,
% 50.14/33.28 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB141, bitIndex1) | (~v254(constB141)))),
% 50.14/33.28 inference(quant_inst,[status(thm)],[])).
% 50.14/33.28 tff(30420,plain,
% 50.14/33.28 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB141)) | v216(constB141, bitIndex1)),
% 50.14/33.28 inference(modus_ponens,[status(thm)],[30419, 30418])).
% 50.14/33.28 tff(30421,plain,
% 50.14/33.28 (~v254(constB141)),
% 50.14/33.28 inference(unit_resolution,[status(thm)],[30420, 11357, 30414])).
% 50.14/33.28 tff(30422,plain,
% 50.14/33.28 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB141) | (~v231(constB141)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB141) | (~v231(constB141)))),
% 50.14/33.28 inference(rewrite,[status(thm)],[])).
% 50.14/33.28 tff(30423,plain,
% 50.14/33.28 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB141) | (~v231(constB141)))),
% 50.14/33.28 inference(quant_inst,[status(thm)],[])).
% 50.14/33.28 tff(30424,plain,
% 50.14/33.28 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB141) | (~v231(constB141))),
% 50.14/33.28 inference(modus_ponens,[status(thm)],[30423, 30422])).
% 50.14/33.28 tff(30425,plain,
% 50.14/33.28 (~v231(constB141)),
% 50.14/33.28 inference(unit_resolution,[status(thm)],[30424, 11162, 30401])).
% 50.14/33.28 tff(30426,plain,
% 50.14/33.28 (((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB141) | (~v221(constB141)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB141) | (~v221(constB141)))),
% 50.14/33.28 inference(rewrite,[status(thm)],[])).
% 50.14/33.28 tff(30427,plain,
% 50.14/33.28 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB141) | (~v221(constB141)))),
% 50.14/33.28 inference(quant_inst,[status(thm)],[])).
% 50.14/33.28 tff(30428,plain,
% 50.14/33.28 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB141) | (~v221(constB141))),
% 50.14/33.28 inference(modus_ponens,[status(thm)],[30427, 30426])).
% 50.14/33.28 tff(30429,plain,
% 50.14/33.28 (~v221(constB141)),
% 50.14/33.28 inference(unit_resolution,[status(thm)],[30428, 11192, 30355])).
% 50.14/33.28 tff(30430,plain,
% 50.14/33.28 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB141) | v231(constB141) | (~v243(constB141)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB141) | v231(constB141) | (~v243(constB141)))),
% 50.14/33.28 inference(rewrite,[status(thm)],[])).
% 50.14/33.28 tff(30431,plain,
% 50.14/33.28 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB141) | v231(constB141) | (~v243(constB141)))),
% 50.14/33.28 inference(quant_inst,[status(thm)],[])).
% 50.14/33.28 tff(30432,plain,
% 50.14/33.28 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB141) | v231(constB141) | (~v243(constB141))),
% 50.14/33.28 inference(modus_ponens,[status(thm)],[30431, 30430])).
% 50.14/33.28 tff(30433,plain,
% 50.14/33.28 (~v243(constB141)),
% 50.14/33.28 inference(unit_resolution,[status(thm)],[30432, 11206, 30429, 30425])).
% 50.14/33.28 tff(30434,plain,
% 50.14/33.28 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB141) | v255(constB141))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB141) | v255(constB141))),
% 50.14/33.28 inference(rewrite,[status(thm)],[])).
% 50.14/33.28 tff(30435,plain,
% 50.14/33.28 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB141) | v255(constB141))),
% 50.14/33.28 inference(quant_inst,[status(thm)],[])).
% 50.14/33.28 tff(30436,plain,
% 50.14/33.28 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB141) | v255(constB141)),
% 50.14/33.28 inference(modus_ponens,[status(thm)],[30435, 30434])).
% 50.14/33.28 tff(30437,plain,
% 50.14/33.28 (v255(constB141)),
% 50.14/33.28 inference(unit_resolution,[status(thm)],[30436, 11222, 30433])).
% 50.14/33.28 tff(30438,plain,
% 50.14/33.28 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB141)) | (~v216(constB141, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB141)) | (~v216(constB141, bitIndex2)))),
% 50.14/33.28 inference(rewrite,[status(thm)],[])).
% 50.14/33.28 tff(30439,plain,
% 50.14/33.28 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB141)) | (~v216(constB141, bitIndex2)))),
% 50.14/33.28 inference(quant_inst,[status(thm)],[])).
% 50.14/33.28 tff(30440,plain,
% 50.14/33.28 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB141)) | (~v216(constB141, bitIndex2))),
% 50.14/33.28 inference(modus_ponens,[status(thm)],[30439, 30438])).
% 50.14/33.28 tff(30441,plain,
% 50.14/33.28 (~v216(constB141, bitIndex2)),
% 50.14/33.28 inference(unit_resolution,[status(thm)],[30440, 11237, 30437])).
% 50.14/33.28 tff(30442,plain,
% 50.14/33.28 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB141, bitIndex2) | (~v215(constB141)) | v254(constB141))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB141, bitIndex2) | (~v215(constB141)) | v254(constB141))),
% 50.14/33.28 inference(rewrite,[status(thm)],[])).
% 50.14/33.28 tff(30443,plain,
% 50.14/33.28 ((v216(constB141, bitIndex2) | v254(constB141) | (~v215(constB141))) <=> (v216(constB141, bitIndex2) | (~v215(constB141)) | v254(constB141))),
% 50.14/33.28 inference(rewrite,[status(thm)],[])).
% 50.14/33.28 tff(30444,plain,
% 50.14/33.28 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB141, bitIndex2) | v254(constB141) | (~v215(constB141)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB141, bitIndex2) | (~v215(constB141)) | v254(constB141)))),
% 50.14/33.29 inference(monotonicity,[status(thm)],[30443])).
% 50.14/33.29 tff(30445,plain,
% 50.14/33.29 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB141, bitIndex2) | v254(constB141) | (~v215(constB141)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB141, bitIndex2) | (~v215(constB141)) | v254(constB141))),
% 50.14/33.29 inference(transitivity,[status(thm)],[30444, 30442])).
% 50.14/33.29 tff(30446,plain,
% 50.14/33.29 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB141, bitIndex2) | v254(constB141) | (~v215(constB141)))),
% 50.14/33.29 inference(quant_inst,[status(thm)],[])).
% 50.14/33.29 tff(30447,plain,
% 50.14/33.29 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB141, bitIndex2) | (~v215(constB141)) | v254(constB141)),
% 50.14/33.29 inference(modus_ponens,[status(thm)],[30446, 30445])).
% 50.14/33.29 tff(30448,plain,
% 50.14/33.29 ((~v215(constB141)) | v254(constB141)),
% 50.14/33.29 inference(unit_resolution,[status(thm)],[30447, 11278, 30441])).
% 50.14/33.29 tff(30449,plain,
% 50.14/33.29 (~v215(constB141)),
% 50.14/33.29 inference(unit_resolution,[status(thm)],[30448, 30421])).
% 50.14/33.29 tff(30450,plain,
% 50.14/33.29 ($false),
% 50.14/33.29 inference(unit_resolution,[status(thm)],[30449, 30275])).
% 50.14/33.29 tff(30451,plain,(~(constB141 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.14/33.29 tff(30452,assumption,(constB57 = sK0_VarCurr), introduced(assumption)).
% 50.14/33.29 tff(30453,plain,
% 50.14/33.29 (v215(constB57) <=> v215(sK0_VarCurr)),
% 50.14/33.29 inference(monotonicity,[status(thm)],[30452])).
% 50.14/33.29 tff(30454,plain,
% 50.14/33.29 (v215(sK0_VarCurr) <=> v215(constB57)),
% 50.14/33.29 inference(symmetry,[status(thm)],[30453])).
% 50.14/33.29 tff(30455,plain,
% 50.14/33.29 (v215(constB57)),
% 50.14/33.29 inference(modus_ponens,[status(thm)],[11268, 30454])).
% 50.14/33.29 tff(30456,plain,
% 50.14/33.29 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB57, bitIndex2) | (~v88(constB57, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB57, bitIndex2) | (~v88(constB57, bitIndex2)))),
% 50.14/33.29 inference(rewrite,[status(thm)],[])).
% 50.14/33.29 tff(30457,plain,
% 50.14/33.29 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB57, bitIndex2) | (~v88(constB57, bitIndex2)))),
% 50.14/33.29 inference(quant_inst,[status(thm)],[])).
% 50.14/33.29 tff(30458,plain,
% 50.14/33.29 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB57, bitIndex2) | (~v88(constB57, bitIndex2))),
% 50.14/33.29 inference(modus_ponens,[status(thm)],[30457, 30456])).
% 50.14/33.29 tff(30459,plain,
% 50.14/33.29 (~v88(constB57, bitIndex2)),
% 50.14/33.29 inference(unit_resolution,[status(thm)],[30458, 8769, 8261])).
% 50.14/33.29 tff(30460,plain,
% 50.14/33.29 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB57, bitIndex1) | (~v88(constB57, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB57, bitIndex1) | (~v88(constB57, bitIndex1)))),
% 50.14/33.29 inference(rewrite,[status(thm)],[])).
% 50.14/33.29 tff(30461,plain,
% 50.14/33.29 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB57, bitIndex1) | (~v88(constB57, bitIndex1)))),
% 50.14/33.29 inference(quant_inst,[status(thm)],[])).
% 50.14/33.29 tff(30462,plain,
% 50.14/33.29 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB57, bitIndex1) | (~v88(constB57, bitIndex1))),
% 50.14/33.29 inference(modus_ponens,[status(thm)],[30461, 30460])).
% 50.14/33.29 tff(30463,plain,
% 50.14/33.29 (~v88(constB57, bitIndex1)),
% 50.14/33.29 inference(unit_resolution,[status(thm)],[30462, 10126, 8298])).
% 50.14/33.29 tff(30464,plain,
% 50.14/33.29 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB57, bitIndex0)) | v88(constB57, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB57, bitIndex0)) | v88(constB57, bitIndex0))),
% 50.14/33.29 inference(rewrite,[status(thm)],[])).
% 50.14/33.29 tff(30465,plain,
% 50.14/33.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB57, bitIndex0)) | v88(constB57, bitIndex0))),
% 50.14/33.29 inference(quant_inst,[status(thm)],[])).
% 50.14/33.29 tff(30466,plain,
% 50.14/33.29 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB57, bitIndex0)) | v88(constB57, bitIndex0)),
% 50.14/33.29 inference(modus_ponens,[status(thm)],[30465, 30464])).
% 50.14/33.29 tff(30467,plain,
% 50.14/33.29 (v88(constB57, bitIndex0)),
% 50.14/33.29 inference(unit_resolution,[status(thm)],[30466, 8662, 8332])).
% 50.14/33.29 tff(30468,plain,
% 50.14/33.29 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | ((~v88(constB57, bitIndex0)) | v88(constB57, bitIndex2) | v88(constB57, bitIndex1) | v140(constB57))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB57, bitIndex0)) | v88(constB57, bitIndex2) | v88(constB57, bitIndex1) | v140(constB57))),
% 50.14/33.29 inference(rewrite,[status(thm)],[])).
% 50.14/33.29 tff(30469,plain,
% 50.14/33.29 ((v88(constB57, bitIndex2) | v88(constB57, bitIndex1) | (~v88(constB57, bitIndex0)) | v140(constB57)) <=> ((~v88(constB57, bitIndex0)) | v88(constB57, bitIndex2) | v88(constB57, bitIndex1) | v140(constB57))),
% 50.14/33.29 inference(rewrite,[status(thm)],[])).
% 50.14/33.29 tff(30470,plain,
% 50.14/33.29 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB57, bitIndex2) | v88(constB57, bitIndex1) | (~v88(constB57, bitIndex0)) | v140(constB57))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | ((~v88(constB57, bitIndex0)) | v88(constB57, bitIndex2) | v88(constB57, bitIndex1) | v140(constB57)))),
% 50.14/33.29 inference(monotonicity,[status(thm)],[30469])).
% 50.14/33.29 tff(30471,plain,
% 50.14/33.29 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB57, bitIndex2) | v88(constB57, bitIndex1) | (~v88(constB57, bitIndex0)) | v140(constB57))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB57, bitIndex0)) | v88(constB57, bitIndex2) | v88(constB57, bitIndex1) | v140(constB57))),
% 50.14/33.29 inference(transitivity,[status(thm)],[30470, 30468])).
% 50.14/33.29 tff(30472,plain,
% 50.14/33.29 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB57, bitIndex2) | v88(constB57, bitIndex1) | (~v88(constB57, bitIndex0)) | v140(constB57))),
% 50.14/33.29 inference(quant_inst,[status(thm)],[])).
% 50.14/33.29 tff(30473,plain,
% 50.14/33.29 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB57, bitIndex0)) | v88(constB57, bitIndex2) | v88(constB57, bitIndex1) | v140(constB57)),
% 50.14/33.29 inference(modus_ponens,[status(thm)],[30472, 30471])).
% 50.14/33.29 tff(30474,plain,
% 50.14/33.29 (v140(constB57)),
% 50.14/33.29 inference(unit_resolution,[status(thm)],[30473, 10178, 30467, 30463, 30459])).
% 50.14/33.29 tff(30475,plain,
% 50.14/33.29 (((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB57) | (~v140(constB57)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB57) | (~v140(constB57)))),
% 50.14/33.29 inference(rewrite,[status(thm)],[])).
% 50.14/33.29 tff(30476,plain,
% 50.14/33.29 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB57) | (~v140(constB57)))),
% 50.14/33.29 inference(quant_inst,[status(thm)],[])).
% 50.14/33.29 tff(30477,plain,
% 50.14/33.29 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB57) | (~v140(constB57))),
% 50.14/33.29 inference(modus_ponens,[status(thm)],[30476, 30475])).
% 50.14/33.29 tff(30478,plain,
% 50.14/33.29 (v200(constB57)),
% 50.14/33.29 inference(unit_resolution,[status(thm)],[30477, 10192, 30474])).
% 50.14/33.29 tff(30479,plain,
% 50.14/33.29 (((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB57) | (~v200(constB57)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB57) | (~v200(constB57)))),
% 50.14/33.29 inference(rewrite,[status(thm)],[])).
% 50.14/33.29 tff(30480,plain,
% 50.14/33.29 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB57) | (~v200(constB57)))),
% 50.14/33.29 inference(quant_inst,[status(thm)],[])).
% 50.14/33.29 tff(30481,plain,
% 50.14/33.29 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB57) | (~v200(constB57))),
% 50.14/33.29 inference(modus_ponens,[status(thm)],[30480, 30479])).
% 50.14/33.29 tff(30482,plain,
% 50.14/33.29 (v199(constB57)),
% 50.14/33.29 inference(unit_resolution,[status(thm)],[30481, 10203, 30478])).
% 50.14/33.29 tff(30483,plain,
% 50.14/33.29 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB57) | (~v199(constB57)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB57) | (~v199(constB57)))),
% 50.14/33.29 inference(rewrite,[status(thm)],[])).
% 50.14/33.29 tff(30484,plain,
% 50.14/33.29 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB57) | (~v199(constB57)))),
% 50.14/33.29 inference(quant_inst,[status(thm)],[])).
% 50.14/33.29 tff(30485,plain,
% 50.14/33.29 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB57) | (~v199(constB57))),
% 50.14/33.29 inference(modus_ponens,[status(thm)],[30484, 30483])).
% 50.14/33.29 tff(30486,plain,
% 50.14/33.29 (v198(constB57)),
% 50.14/33.29 inference(unit_resolution,[status(thm)],[30485, 8809, 30482])).
% 50.14/33.29 tff(30487,plain,
% 50.14/33.29 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB57)) | (~v201(constB57)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB57)) | (~v201(constB57)))),
% 50.14/33.29 inference(rewrite,[status(thm)],[])).
% 50.14/33.29 tff(30488,plain,
% 50.14/33.29 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB57)) | (~v201(constB57)))),
% 50.14/33.29 inference(quant_inst,[status(thm)],[])).
% 50.14/33.29 tff(30489,plain,
% 50.14/33.29 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB57)) | (~v201(constB57))),
% 50.14/33.29 inference(modus_ponens,[status(thm)],[30488, 30487])).
% 50.14/33.29 tff(30490,plain,
% 50.14/33.29 (~v201(constB57)),
% 50.14/33.29 inference(unit_resolution,[status(thm)],[30489, 8823, 30486])).
% 50.14/33.29 tff(30491,plain,
% 50.14/33.29 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB57) | (~v198(constB57)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB57) | (~v198(constB57)))),
% 50.14/33.29 inference(rewrite,[status(thm)],[])).
% 50.14/33.29 tff(30492,plain,
% 50.14/33.29 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB57) | (~v198(constB57)))),
% 50.14/33.29 inference(quant_inst,[status(thm)],[])).
% 50.14/33.29 tff(30493,plain,
% 50.14/33.29 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB57) | (~v198(constB57))),
% 50.14/33.29 inference(modus_ponens,[status(thm)],[30492, 30491])).
% 50.14/33.29 tff(30494,plain,
% 50.14/33.29 (v197(constB57)),
% 50.14/33.29 inference(unit_resolution,[status(thm)],[30493, 8834, 30486])).
% 50.14/33.29 tff(30495,plain,
% 50.14/33.29 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB57) | (~v197(constB57)) | v201(constB57))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB57) | (~v197(constB57)) | v201(constB57))),
% 50.14/33.29 inference(rewrite,[status(thm)],[])).
% 50.14/33.29 tff(30496,plain,
% 50.14/33.29 (((~v197(constB57)) | v201(constB57) | v227(constB57)) <=> (v227(constB57) | (~v197(constB57)) | v201(constB57))),
% 50.14/33.29 inference(rewrite,[status(thm)],[])).
% 50.14/33.29 tff(30497,plain,
% 50.14/33.29 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB57)) | v201(constB57) | v227(constB57))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB57) | (~v197(constB57)) | v201(constB57)))),
% 50.14/33.29 inference(monotonicity,[status(thm)],[30496])).
% 50.14/33.29 tff(30498,plain,
% 50.14/33.29 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB57)) | v201(constB57) | v227(constB57))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB57) | (~v197(constB57)) | v201(constB57))),
% 50.14/33.29 inference(transitivity,[status(thm)],[30497, 30495])).
% 50.14/33.29 tff(30499,plain,
% 50.14/33.29 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB57)) | v201(constB57) | v227(constB57))),
% 50.14/33.29 inference(quant_inst,[status(thm)],[])).
% 50.14/33.29 tff(30500,plain,
% 50.14/33.29 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB57) | (~v197(constB57)) | v201(constB57)),
% 50.14/33.29 inference(modus_ponens,[status(thm)],[30499, 30498])).
% 50.14/33.29 tff(30501,plain,
% 50.14/33.29 (v227(constB57)),
% 50.14/33.29 inference(unit_resolution,[status(thm)],[30500, 8848, 30494, 30490])).
% 50.14/33.29 tff(30502,plain,
% 50.14/33.29 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB57)) | (~v223(constB57, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB57)) | (~v223(constB57, bitIndex0)))),
% 50.14/33.29 inference(rewrite,[status(thm)],[])).
% 50.14/33.29 tff(30503,plain,
% 50.14/33.29 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB57)) | (~v223(constB57, bitIndex0)))),
% 50.14/33.29 inference(quant_inst,[status(thm)],[])).
% 50.14/33.29 tff(30504,plain,
% 50.14/33.29 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB57)) | (~v223(constB57, bitIndex0))),
% 50.14/33.29 inference(modus_ponens,[status(thm)],[30503, 30502])).
% 50.14/33.29 tff(30505,plain,
% 50.14/33.29 (~v223(constB57, bitIndex0)),
% 50.14/33.29 inference(unit_resolution,[status(thm)],[30504, 8862, 30501])).
% 50.14/33.29 tff(30506,plain,
% 50.14/33.29 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB57)) | (~v199(constB57)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB57)) | (~v199(constB57)))),
% 50.14/33.29 inference(rewrite,[status(thm)],[])).
% 50.14/33.29 tff(30507,plain,
% 50.14/33.29 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB57)) | (~v199(constB57)))),
% 50.14/33.29 inference(quant_inst,[status(thm)],[])).
% 50.14/33.29 tff(30508,plain,
% 50.14/33.29 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB57)) | (~v199(constB57))),
% 50.14/33.29 inference(modus_ponens,[status(thm)],[30507, 30506])).
% 50.14/33.29 tff(30509,plain,
% 50.14/33.29 (~v183(constB57)),
% 50.14/33.29 inference(unit_resolution,[status(thm)],[30508, 8873, 30482])).
% 50.14/33.29 tff(30510,plain,
% 50.14/33.29 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB57) | (~v197(constB57)) | v183(constB57))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB57) | (~v197(constB57)) | v183(constB57))),
% 50.14/33.29 inference(rewrite,[status(thm)],[])).
% 50.14/33.29 tff(30511,plain,
% 50.14/33.29 (((~v197(constB57)) | v183(constB57) | v228(constB57)) <=> (v228(constB57) | (~v197(constB57)) | v183(constB57))),
% 50.14/33.29 inference(rewrite,[status(thm)],[])).
% 50.14/33.29 tff(30512,plain,
% 50.14/33.29 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB57)) | v183(constB57) | v228(constB57))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB57) | (~v197(constB57)) | v183(constB57)))),
% 50.14/33.29 inference(monotonicity,[status(thm)],[30511])).
% 50.14/33.29 tff(30513,plain,
% 50.14/33.29 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB57)) | v183(constB57) | v228(constB57))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB57) | (~v197(constB57)) | v183(constB57))),
% 50.14/33.29 inference(transitivity,[status(thm)],[30512, 30510])).
% 50.14/33.29 tff(30514,plain,
% 50.14/33.29 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB57)) | v183(constB57) | v228(constB57))),
% 50.14/33.29 inference(quant_inst,[status(thm)],[])).
% 50.14/33.29 tff(30515,plain,
% 50.14/33.29 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB57) | (~v197(constB57)) | v183(constB57)),
% 50.14/33.29 inference(modus_ponens,[status(thm)],[30514, 30513])).
% 50.14/33.29 tff(30516,plain,
% 50.14/33.29 (v228(constB57)),
% 50.14/33.29 inference(unit_resolution,[status(thm)],[30515, 8887, 30494, 30509])).
% 50.14/33.29 tff(30517,plain,
% 50.14/33.29 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB57)) | (~v223(constB57, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB57)) | (~v223(constB57, bitIndex1)))),
% 50.14/33.29 inference(rewrite,[status(thm)],[])).
% 50.14/33.29 tff(30518,plain,
% 50.14/33.29 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB57)) | (~v223(constB57, bitIndex1)))),
% 50.14/33.29 inference(quant_inst,[status(thm)],[])).
% 50.14/33.29 tff(30519,plain,
% 50.14/33.29 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB57)) | (~v223(constB57, bitIndex1))),
% 50.14/33.29 inference(modus_ponens,[status(thm)],[30518, 30517])).
% 50.14/33.29 tff(30520,plain,
% 50.14/33.29 (~v223(constB57, bitIndex1)),
% 50.14/33.29 inference(unit_resolution,[status(thm)],[30519, 8901, 30516])).
% 50.14/33.29 tff(30521,plain,
% 50.14/33.29 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB57, bitIndex0) | v223(constB57, bitIndex1) | (~v229(constB57)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB57, bitIndex0) | v223(constB57, bitIndex1) | (~v229(constB57)))),
% 50.14/33.29 inference(rewrite,[status(thm)],[])).
% 50.14/33.29 tff(30522,plain,
% 50.14/33.29 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB57, bitIndex0) | v223(constB57, bitIndex1) | (~v229(constB57)))),
% 50.14/33.29 inference(quant_inst,[status(thm)],[])).
% 50.14/33.29 tff(30523,plain,
% 50.14/33.29 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB57, bitIndex0) | v223(constB57, bitIndex1) | (~v229(constB57))),
% 50.14/33.29 inference(modus_ponens,[status(thm)],[30522, 30521])).
% 50.14/33.29 tff(30524,plain,
% 50.14/33.29 (~v229(constB57)),
% 50.14/33.29 inference(unit_resolution,[status(thm)],[30523, 8915, 30520, 30505])).
% 50.14/33.29 tff(30525,plain,
% 50.14/33.29 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB57) | (~v225(constB57)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB57) | (~v225(constB57)))),
% 50.14/33.29 inference(rewrite,[status(thm)],[])).
% 50.14/33.29 tff(30526,plain,
% 50.14/33.29 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB57) | (~v225(constB57)))),
% 50.14/33.29 inference(quant_inst,[status(thm)],[])).
% 50.14/33.29 tff(30527,plain,
% 50.14/33.29 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB57) | (~v225(constB57))),
% 50.14/33.29 inference(modus_ponens,[status(thm)],[30526, 30525])).
% 50.14/33.29 tff(30528,plain,
% 50.14/33.29 (~v225(constB57)),
% 50.14/33.29 inference(unit_resolution,[status(thm)],[30527, 8929, 30524])).
% 50.14/33.29 tff(30529,plain,
% 50.14/33.29 (((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB57)) | (~v200(constB57)))) <=> ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB57)) | (~v200(constB57)))),
% 50.14/33.29 inference(rewrite,[status(thm)],[])).
% 50.14/33.29 tff(30530,plain,
% 50.14/33.29 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB57)) | (~v200(constB57)))),
% 50.14/33.29 inference(quant_inst,[status(thm)],[])).
% 50.14/33.29 tff(30531,plain,
% 50.14/33.29 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB57)) | (~v200(constB57))),
% 50.14/33.29 inference(modus_ponens,[status(thm)],[30530, 30529])).
% 50.14/33.29 tff(30532,plain,
% 50.14/33.29 (~v166(constB57)),
% 50.14/33.29 inference(unit_resolution,[status(thm)],[30531, 10263, 30478])).
% 50.14/33.29 tff(30533,plain,
% 50.14/33.29 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB57) | (~v197(constB57)) | v166(constB57))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB57) | (~v197(constB57)) | v166(constB57))),
% 50.14/33.29 inference(rewrite,[status(thm)],[])).
% 50.14/33.29 tff(30534,plain,
% 50.14/33.29 (((~v197(constB57)) | v166(constB57) | v241(constB57)) <=> (v241(constB57) | (~v197(constB57)) | v166(constB57))),
% 50.14/33.29 inference(rewrite,[status(thm)],[])).
% 50.14/33.29 tff(30535,plain,
% 50.14/33.29 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB57)) | v166(constB57) | v241(constB57))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB57) | (~v197(constB57)) | v166(constB57)))),
% 50.14/33.29 inference(monotonicity,[status(thm)],[30534])).
% 50.14/33.29 tff(30536,plain,
% 50.14/33.29 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB57)) | v166(constB57) | v241(constB57))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB57) | (~v197(constB57)) | v166(constB57))),
% 50.14/33.29 inference(transitivity,[status(thm)],[30535, 30533])).
% 50.14/33.29 tff(30537,plain,
% 50.14/33.29 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB57)) | v166(constB57) | v241(constB57))),
% 50.14/33.29 inference(quant_inst,[status(thm)],[])).
% 50.14/33.29 tff(30538,plain,
% 50.14/33.29 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB57) | (~v197(constB57)) | v166(constB57)),
% 50.14/33.29 inference(modus_ponens,[status(thm)],[30537, 30536])).
% 50.14/33.29 tff(30539,plain,
% 50.14/33.29 (v241(constB57) | (~v197(constB57))),
% 50.14/33.29 inference(unit_resolution,[status(thm)],[30538, 10277, 30532])).
% 50.14/33.29 tff(30540,plain,
% 50.14/33.29 (v241(constB57)),
% 50.14/33.29 inference(unit_resolution,[status(thm)],[30539, 30494])).
% 50.14/33.29 tff(30541,plain,
% 50.14/33.29 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB57)) | (~v223(constB57, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB57)) | (~v223(constB57, bitIndex2)))),
% 50.14/33.29 inference(rewrite,[status(thm)],[])).
% 50.14/33.29 tff(30542,plain,
% 50.14/33.29 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB57)) | (~v223(constB57, bitIndex2)))),
% 50.14/33.29 inference(quant_inst,[status(thm)],[])).
% 50.14/33.29 tff(30543,plain,
% 50.14/33.29 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB57)) | (~v223(constB57, bitIndex2))),
% 50.14/33.29 inference(modus_ponens,[status(thm)],[30542, 30541])).
% 50.14/33.29 tff(30544,plain,
% 50.14/33.29 (~v223(constB57, bitIndex2)),
% 50.14/33.29 inference(unit_resolution,[status(thm)],[30543, 10292, 30540])).
% 50.14/33.29 tff(30545,plain,
% 50.14/33.29 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB57) | v223(constB57, bitIndex2) | (~v242(constB57)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v225(constB57) | v223(constB57, bitIndex2) | (~v242(constB57)))),
% 50.14/33.29 inference(rewrite,[status(thm)],[])).
% 50.14/33.29 tff(30546,plain,
% 50.14/33.29 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB57) | v223(constB57, bitIndex2) | (~v242(constB57)))),
% 50.14/33.29 inference(quant_inst,[status(thm)],[])).
% 50.14/33.29 tff(30547,plain,
% 50.14/33.29 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v225(constB57) | v223(constB57, bitIndex2) | (~v242(constB57))),
% 50.14/33.29 inference(modus_ponens,[status(thm)],[30546, 30545])).
% 50.14/33.29 tff(30548,plain,
% 50.14/33.29 (v225(constB57) | (~v242(constB57))),
% 50.14/33.29 inference(unit_resolution,[status(thm)],[30547, 10306, 30544])).
% 50.14/33.29 tff(30549,plain,
% 50.14/33.29 (~v242(constB57)),
% 50.14/33.29 inference(unit_resolution,[status(thm)],[30548, 30528])).
% 50.14/33.29 tff(30550,plain,
% 50.14/33.29 (((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB57) | (~v238(constB57)))) <=> ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB57) | (~v238(constB57)))),
% 50.14/33.29 inference(rewrite,[status(thm)],[])).
% 50.14/33.29 tff(30551,plain,
% 50.14/33.29 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB57) | (~v238(constB57)))),
% 50.14/33.29 inference(quant_inst,[status(thm)],[])).
% 50.14/33.29 tff(30552,plain,
% 50.14/33.29 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB57) | (~v238(constB57))),
% 50.14/33.29 inference(modus_ponens,[status(thm)],[30551, 30550])).
% 50.14/33.29 tff(30553,plain,
% 50.14/33.29 (~v238(constB57)),
% 50.14/33.29 inference(unit_resolution,[status(thm)],[30552, 10318, 30549])).
% 50.14/33.29 tff(30554,plain,
% 50.14/33.29 (((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB57) | (~v237(constB57)))) <=> ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB57) | (~v237(constB57)))),
% 50.14/33.29 inference(rewrite,[status(thm)],[])).
% 50.14/33.29 tff(30555,plain,
% 50.14/33.29 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB57) | (~v237(constB57)))),
% 50.14/33.29 inference(quant_inst,[status(thm)],[])).
% 50.14/33.29 tff(30556,plain,
% 50.14/33.29 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB57) | (~v237(constB57))),
% 50.14/33.29 inference(modus_ponens,[status(thm)],[30555, 30554])).
% 50.14/33.29 tff(30557,plain,
% 50.14/33.29 (~v237(constB57)),
% 50.14/33.29 inference(unit_resolution,[status(thm)],[30556, 10329, 30553])).
% 50.14/33.29 tff(30558,plain,
% 50.14/33.29 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB57)) | v223(constB57, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB57)) | v223(constB57, bitIndex2))),
% 50.14/33.29 inference(rewrite,[status(thm)],[])).
% 50.14/33.29 tff(30559,plain,
% 50.14/33.29 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB57)) | v223(constB57, bitIndex2))),
% 50.14/33.29 inference(quant_inst,[status(thm)],[])).
% 50.14/33.29 tff(30560,plain,
% 50.14/33.29 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB57)) | v223(constB57, bitIndex2)),
% 50.14/33.29 inference(modus_ponens,[status(thm)],[30559, 30558])).
% 50.14/33.29 tff(30561,plain,
% 50.14/33.29 (~v224(constB57)),
% 50.14/33.29 inference(unit_resolution,[status(thm)],[30560, 10343, 30544])).
% 50.14/33.29 tff(30562,plain,
% 50.14/33.29 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB57)) | v223(constB57, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB57)) | v223(constB57, bitIndex1))),
% 50.14/33.29 inference(rewrite,[status(thm)],[])).
% 50.14/33.29 tff(30563,plain,
% 50.14/33.29 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB57)) | v223(constB57, bitIndex1))),
% 50.14/33.29 inference(quant_inst,[status(thm)],[])).
% 50.14/33.29 tff(30564,plain,
% 50.14/33.29 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB57)) | v223(constB57, bitIndex1)),
% 50.14/33.29 inference(modus_ponens,[status(thm)],[30563, 30562])).
% 50.14/33.29 tff(30565,plain,
% 50.14/33.29 (~v222(constB57)),
% 50.14/33.29 inference(unit_resolution,[status(thm)],[30564, 8954, 30520])).
% 50.14/33.29 tff(30566,plain,
% 50.14/33.29 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB57) | v224(constB57) | (~v236(constB57)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB57) | v224(constB57) | (~v236(constB57)))),
% 50.14/33.29 inference(rewrite,[status(thm)],[])).
% 50.14/33.29 tff(30567,plain,
% 50.14/33.29 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB57) | v224(constB57) | (~v236(constB57)))),
% 50.14/33.29 inference(quant_inst,[status(thm)],[])).
% 50.14/33.29 tff(30568,plain,
% 50.14/33.29 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB57) | v224(constB57) | (~v236(constB57))),
% 50.14/33.29 inference(modus_ponens,[status(thm)],[30567, 30566])).
% 50.14/33.29 tff(30569,plain,
% 50.14/33.29 (~v236(constB57)),
% 50.14/33.29 inference(unit_resolution,[status(thm)],[30568, 8968, 30565, 30561])).
% 50.14/33.29 tff(30570,plain,
% 50.14/33.29 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB57) | (~v232(constB57)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB57) | (~v232(constB57)))),
% 50.14/33.29 inference(rewrite,[status(thm)],[])).
% 50.14/33.29 tff(30571,plain,
% 50.14/33.29 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB57) | (~v232(constB57)))),
% 50.14/33.29 inference(quant_inst,[status(thm)],[])).
% 50.14/33.29 tff(30572,plain,
% 50.14/33.29 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB57) | (~v232(constB57))),
% 50.14/33.29 inference(modus_ponens,[status(thm)],[30571, 30570])).
% 50.14/33.29 tff(30573,plain,
% 50.14/33.29 (~v232(constB57)),
% 50.14/33.29 inference(unit_resolution,[status(thm)],[30572, 8980, 30569])).
% 50.14/33.29 tff(30574,plain,
% 50.14/33.29 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB57) | v232(constB57) | (~v248(constB57)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB57) | v232(constB57) | (~v248(constB57)))),
% 50.14/33.29 inference(rewrite,[status(thm)],[])).
% 50.14/33.29 tff(30575,plain,
% 50.14/33.29 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB57) | v232(constB57) | (~v248(constB57)))),
% 50.14/33.29 inference(quant_inst,[status(thm)],[])).
% 50.14/33.29 tff(30576,plain,
% 50.14/33.29 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB57) | v232(constB57) | (~v248(constB57))),
% 50.14/33.29 inference(modus_ponens,[status(thm)],[30575, 30574])).
% 50.14/33.29 tff(30577,plain,
% 50.14/33.29 (v237(constB57) | (~v248(constB57))),
% 50.14/33.29 inference(unit_resolution,[status(thm)],[30576, 9076, 30573])).
% 50.14/33.29 tff(30578,plain,
% 50.14/33.29 (~v248(constB57)),
% 50.14/33.29 inference(unit_resolution,[status(thm)],[30577, 30557])).
% 50.14/33.29 tff(30579,plain,
% 50.14/33.29 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB57) | (~v244(constB57)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB57) | (~v244(constB57)))),
% 50.14/33.29 inference(rewrite,[status(thm)],[])).
% 50.14/33.29 tff(30580,plain,
% 50.14/33.29 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB57) | (~v244(constB57)))),
% 50.14/33.29 inference(quant_inst,[status(thm)],[])).
% 50.14/33.29 tff(30581,plain,
% 50.14/33.29 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB57) | (~v244(constB57))),
% 50.14/33.29 inference(modus_ponens,[status(thm)],[30580, 30579])).
% 50.14/33.29 tff(30582,plain,
% 50.14/33.29 (~v244(constB57)),
% 50.14/33.29 inference(unit_resolution,[status(thm)],[30581, 11335, 30578])).
% 50.14/33.29 tff(30583,plain,
% 50.14/33.29 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB57) | (~v216(constB57, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB57) | (~v216(constB57, bitIndex1)))),
% 50.14/33.29 inference(rewrite,[status(thm)],[])).
% 50.14/33.29 tff(30584,plain,
% 50.14/33.29 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB57) | (~v216(constB57, bitIndex1)))),
% 50.14/33.29 inference(quant_inst,[status(thm)],[])).
% 50.14/33.29 tff(30585,plain,
% 50.14/33.29 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB57) | (~v216(constB57, bitIndex1))),
% 50.14/33.29 inference(modus_ponens,[status(thm)],[30584, 30583])).
% 50.14/33.29 tff(30586,plain,
% 50.14/33.29 (~v216(constB57, bitIndex1)),
% 50.14/33.29 inference(unit_resolution,[status(thm)],[30585, 11346, 30582])).
% 50.14/33.29 tff(30587,plain,
% 50.14/33.29 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB57, bitIndex1) | (~v254(constB57)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB57, bitIndex1) | (~v254(constB57)))),
% 50.14/33.29 inference(rewrite,[status(thm)],[])).
% 50.14/33.29 tff(30588,plain,
% 50.14/33.29 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB57, bitIndex1) | (~v254(constB57)))),
% 50.14/33.29 inference(quant_inst,[status(thm)],[])).
% 50.14/33.29 tff(30589,plain,
% 50.14/33.29 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB57, bitIndex1) | (~v254(constB57))),
% 50.14/33.29 inference(modus_ponens,[status(thm)],[30588, 30587])).
% 50.14/33.29 tff(30590,plain,
% 50.14/33.29 (~v254(constB57)),
% 50.14/33.29 inference(unit_resolution,[status(thm)],[30589, 11357, 30586])).
% 50.14/33.29 tff(30591,plain,
% 50.14/33.29 (((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB57) | (~v231(constB57)))) <=> ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB57) | (~v231(constB57)))),
% 50.14/33.29 inference(rewrite,[status(thm)],[])).
% 50.14/33.29 tff(30592,plain,
% 50.14/33.29 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB57) | (~v231(constB57)))),
% 50.14/33.29 inference(quant_inst,[status(thm)],[])).
% 50.14/33.29 tff(30593,plain,
% 50.14/33.29 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB57) | (~v231(constB57))),
% 50.14/33.29 inference(modus_ponens,[status(thm)],[30592, 30591])).
% 50.14/33.29 tff(30594,plain,
% 50.14/33.29 (~v231(constB57)),
% 50.14/33.29 inference(unit_resolution,[status(thm)],[30593, 24684, 30573])).
% 50.14/33.29 tff(30595,plain,
% 50.14/33.29 (((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB57) | (~v221(constB57)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB57) | (~v221(constB57)))),
% 50.14/33.29 inference(rewrite,[status(thm)],[])).
% 50.14/33.29 tff(30596,plain,
% 50.14/33.29 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB57) | (~v221(constB57)))),
% 50.14/33.29 inference(quant_inst,[status(thm)],[])).
% 50.14/33.29 tff(30597,plain,
% 50.14/33.29 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB57) | (~v221(constB57))),
% 50.14/33.29 inference(modus_ponens,[status(thm)],[30596, 30595])).
% 50.14/33.29 tff(30598,plain,
% 50.14/33.29 (~v221(constB57)),
% 50.14/33.29 inference(unit_resolution,[status(thm)],[30597, 11192, 30565])).
% 50.14/33.29 tff(30599,plain,
% 50.14/33.29 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB57) | v231(constB57) | (~v243(constB57)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB57) | v231(constB57) | (~v243(constB57)))),
% 50.14/33.29 inference(rewrite,[status(thm)],[])).
% 50.14/33.29 tff(30600,plain,
% 50.14/33.29 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB57) | v231(constB57) | (~v243(constB57)))),
% 50.14/33.29 inference(quant_inst,[status(thm)],[])).
% 50.14/33.29 tff(30601,plain,
% 50.14/33.29 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB57) | v231(constB57) | (~v243(constB57))),
% 50.14/33.29 inference(modus_ponens,[status(thm)],[30600, 30599])).
% 50.14/33.29 tff(30602,plain,
% 50.14/33.29 (v231(constB57) | (~v243(constB57))),
% 50.14/33.29 inference(unit_resolution,[status(thm)],[30601, 11206, 30598])).
% 50.14/33.29 tff(30603,plain,
% 50.14/33.29 (~v243(constB57)),
% 50.14/33.29 inference(unit_resolution,[status(thm)],[30602, 30594])).
% 50.14/33.29 tff(30604,plain,
% 50.14/33.29 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB57) | v255(constB57))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB57) | v255(constB57))),
% 50.14/33.29 inference(rewrite,[status(thm)],[])).
% 50.14/33.29 tff(30605,plain,
% 50.14/33.29 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB57) | v255(constB57))),
% 50.14/33.29 inference(quant_inst,[status(thm)],[])).
% 50.14/33.29 tff(30606,plain,
% 50.14/33.29 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB57) | v255(constB57)),
% 50.14/33.29 inference(modus_ponens,[status(thm)],[30605, 30604])).
% 50.14/33.29 tff(30607,plain,
% 50.14/33.29 (v255(constB57)),
% 50.14/33.29 inference(unit_resolution,[status(thm)],[30606, 11222, 30603])).
% 50.14/33.29 tff(30608,plain,
% 50.14/33.29 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB57)) | (~v216(constB57, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB57)) | (~v216(constB57, bitIndex2)))),
% 50.14/33.29 inference(rewrite,[status(thm)],[])).
% 50.14/33.29 tff(30609,plain,
% 50.14/33.29 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB57)) | (~v216(constB57, bitIndex2)))),
% 50.14/33.29 inference(quant_inst,[status(thm)],[])).
% 50.14/33.29 tff(30610,plain,
% 50.14/33.29 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB57)) | (~v216(constB57, bitIndex2))),
% 50.14/33.29 inference(modus_ponens,[status(thm)],[30609, 30608])).
% 50.14/33.29 tff(30611,plain,
% 50.14/33.29 (~v216(constB57, bitIndex2)),
% 50.14/33.29 inference(unit_resolution,[status(thm)],[30610, 11237, 30607])).
% 50.14/33.29 tff(30612,plain,
% 50.14/33.29 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB57, bitIndex2) | v254(constB57) | (~v215(constB57)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB57, bitIndex2) | v254(constB57) | (~v215(constB57)))),
% 50.14/33.29 inference(rewrite,[status(thm)],[])).
% 50.14/33.29 tff(30613,plain,
% 50.14/33.29 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB57, bitIndex2) | v254(constB57) | (~v215(constB57)))),
% 50.14/33.29 inference(quant_inst,[status(thm)],[])).
% 50.14/33.29 tff(30614,plain,
% 50.14/33.29 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB57, bitIndex2) | v254(constB57) | (~v215(constB57))),
% 50.14/33.29 inference(modus_ponens,[status(thm)],[30613, 30612])).
% 50.14/33.29 tff(30615,plain,
% 50.14/33.29 (v254(constB57) | (~v215(constB57))),
% 50.14/33.29 inference(unit_resolution,[status(thm)],[30614, 11278, 30611])).
% 50.14/33.29 tff(30616,plain,
% 50.14/33.29 (~v215(constB57)),
% 50.14/33.29 inference(unit_resolution,[status(thm)],[30615, 30590])).
% 50.14/33.29 tff(30617,plain,
% 50.14/33.29 ($false),
% 50.14/33.29 inference(unit_resolution,[status(thm)],[30616, 30455])).
% 50.14/33.29 tff(30618,plain,(~(constB57 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.14/33.29 tff(30619,assumption,(constB131 = sK0_VarCurr), introduced(assumption)).
% 50.14/33.29 tff(30620,plain,
% 50.14/33.29 (v215(constB131) <=> v215(sK0_VarCurr)),
% 50.14/33.29 inference(monotonicity,[status(thm)],[30619])).
% 50.14/33.29 tff(30621,plain,
% 50.14/33.29 (v215(sK0_VarCurr) <=> v215(constB131)),
% 50.14/33.29 inference(symmetry,[status(thm)],[30620])).
% 50.14/33.29 tff(30622,plain,
% 50.14/33.29 (v215(constB131)),
% 50.14/33.29 inference(modus_ponens,[status(thm)],[11268, 30621])).
% 50.14/33.29 tff(30623,plain,
% 50.14/33.29 (((~![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)))),
% 50.14/33.29 inference(rewrite,[status(thm)],[])).
% 50.14/33.29 tff(30624,plain,
% 50.14/33.29 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB131, bitIndex2) | (~v88(constB131, bitIndex2)))),
% 50.14/33.29 inference(quant_inst,[status(thm)],[])).
% 50.14/33.29 tff(30625,plain,
% 50.14/33.29 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB131, bitIndex2) | (~v88(constB131, bitIndex2))),
% 50.14/33.29 inference(modus_ponens,[status(thm)],[30624, 30623])).
% 50.14/33.29 tff(30626,plain,
% 50.14/33.29 (~v88(constB131, bitIndex2)),
% 50.14/33.29 inference(unit_resolution,[status(thm)],[30625, 8769, 18532])).
% 50.14/33.29 tff(30627,plain,
% 50.14/33.29 (((~![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))),
% 50.25/33.30 inference(rewrite,[status(thm)],[])).
% 50.25/33.30 tff(30628,plain,
% 50.25/33.30 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB131, bitIndex1)) | v88(constB131, bitIndex1))),
% 50.25/33.30 inference(quant_inst,[status(thm)],[])).
% 50.25/33.30 tff(30629,plain,
% 50.25/33.30 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB131, bitIndex1)) | v88(constB131, bitIndex1)),
% 50.25/33.30 inference(modus_ponens,[status(thm)],[30628, 30627])).
% 50.25/33.30 tff(30630,plain,
% 50.25/33.30 (v88(constB131, bitIndex1)),
% 50.25/33.30 inference(unit_resolution,[status(thm)],[30629, 8707, 18563])).
% 50.25/33.30 tff(30631,plain,
% 50.25/33.30 (((~![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))),
% 50.25/33.30 inference(rewrite,[status(thm)],[])).
% 50.25/33.30 tff(30632,plain,
% 50.25/33.30 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB131, bitIndex0)) | v88(constB131, bitIndex0))),
% 50.25/33.30 inference(quant_inst,[status(thm)],[])).
% 50.25/33.30 tff(30633,plain,
% 50.25/33.30 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB131, bitIndex0)) | v88(constB131, bitIndex0)),
% 50.25/33.30 inference(modus_ponens,[status(thm)],[30632, 30631])).
% 50.25/33.30 tff(30634,plain,
% 50.25/33.30 (v88(constB131, bitIndex0)),
% 50.25/33.30 inference(unit_resolution,[status(thm)],[30633, 8662, 18594])).
% 50.25/33.30 tff(30635,plain,
% 50.25/33.30 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB131, bitIndex1)) | v88(constB131, bitIndex2) | (~v88(constB131, bitIndex0)) | v141(constB131))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB131, bitIndex1)) | v88(constB131, bitIndex2) | (~v88(constB131, bitIndex0)) | v141(constB131))),
% 50.25/33.30 inference(rewrite,[status(thm)],[])).
% 50.25/33.30 tff(30636,plain,
% 50.25/33.30 ((v88(constB131, bitIndex2) | (~v88(constB131, bitIndex1)) | (~v88(constB131, bitIndex0)) | v141(constB131)) <=> ((~v88(constB131, bitIndex1)) | v88(constB131, bitIndex2) | (~v88(constB131, bitIndex0)) | v141(constB131))),
% 50.25/33.30 inference(rewrite,[status(thm)],[])).
% 50.25/33.30 tff(30637,plain,
% 50.25/33.30 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB131, bitIndex2) | (~v88(constB131, bitIndex1)) | (~v88(constB131, bitIndex0)) | v141(constB131))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB131, bitIndex1)) | v88(constB131, bitIndex2) | (~v88(constB131, bitIndex0)) | v141(constB131)))),
% 50.25/33.30 inference(monotonicity,[status(thm)],[30636])).
% 50.25/33.30 tff(30638,plain,
% 50.25/33.30 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB131, bitIndex2) | (~v88(constB131, bitIndex1)) | (~v88(constB131, bitIndex0)) | v141(constB131))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB131, bitIndex1)) | v88(constB131, bitIndex2) | (~v88(constB131, bitIndex0)) | v141(constB131))),
% 50.25/33.30 inference(transitivity,[status(thm)],[30637, 30635])).
% 50.25/33.30 tff(30639,plain,
% 50.25/33.30 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB131, bitIndex2) | (~v88(constB131, bitIndex1)) | (~v88(constB131, bitIndex0)) | v141(constB131))),
% 50.25/33.30 inference(quant_inst,[status(thm)],[])).
% 50.25/33.30 tff(30640,plain,
% 50.25/33.30 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB131, bitIndex1)) | v88(constB131, bitIndex2) | (~v88(constB131, bitIndex0)) | v141(constB131)),
% 50.25/33.30 inference(modus_ponens,[status(thm)],[30639, 30638])).
% 50.25/33.30 tff(30641,plain,
% 50.25/33.30 (v141(constB131)),
% 50.25/33.30 inference(unit_resolution,[status(thm)],[30640, 8783, 30634, 30630, 30626])).
% 50.25/33.30 tff(30642,plain,
% 50.25/33.30 (((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB131) | (~v141(constB131)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB131) | (~v141(constB131)))),
% 50.25/33.30 inference(rewrite,[status(thm)],[])).
% 50.25/33.30 tff(30643,plain,
% 50.25/33.30 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB131) | (~v141(constB131)))),
% 50.25/33.30 inference(quant_inst,[status(thm)],[])).
% 50.25/33.30 tff(30644,plain,
% 50.25/33.30 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB131) | (~v141(constB131))),
% 50.25/33.30 inference(modus_ponens,[status(thm)],[30643, 30642])).
% 50.25/33.30 tff(30645,plain,
% 50.25/33.30 (v199(constB131)),
% 50.25/33.30 inference(unit_resolution,[status(thm)],[30644, 8798, 30641])).
% 50.25/33.30 tff(30646,plain,
% 50.25/33.30 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB131) | (~v199(constB131)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB131) | (~v199(constB131)))),
% 50.25/33.30 inference(rewrite,[status(thm)],[])).
% 50.25/33.30 tff(30647,plain,
% 50.25/33.30 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB131) | (~v199(constB131)))),
% 50.25/33.30 inference(quant_inst,[status(thm)],[])).
% 50.25/33.30 tff(30648,plain,
% 50.25/33.30 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB131) | (~v199(constB131))),
% 50.25/33.30 inference(modus_ponens,[status(thm)],[30647, 30646])).
% 50.25/33.30 tff(30649,plain,
% 50.25/33.30 (v198(constB131)),
% 50.25/33.30 inference(unit_resolution,[status(thm)],[30648, 8809, 30645])).
% 50.25/33.30 tff(30650,plain,
% 50.25/33.30 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB131)) | (~v201(constB131)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB131)) | (~v201(constB131)))),
% 50.25/33.30 inference(rewrite,[status(thm)],[])).
% 50.25/33.30 tff(30651,plain,
% 50.25/33.30 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB131)) | (~v201(constB131)))),
% 50.25/33.30 inference(quant_inst,[status(thm)],[])).
% 50.25/33.30 tff(30652,plain,
% 50.25/33.30 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB131)) | (~v201(constB131))),
% 50.25/33.30 inference(modus_ponens,[status(thm)],[30651, 30650])).
% 50.25/33.30 tff(30653,plain,
% 50.25/33.30 (~v201(constB131)),
% 50.25/33.30 inference(unit_resolution,[status(thm)],[30652, 8823, 30649])).
% 50.25/33.30 tff(30654,plain,
% 50.25/33.30 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB131) | (~v198(constB131)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB131) | (~v198(constB131)))),
% 50.25/33.30 inference(rewrite,[status(thm)],[])).
% 50.25/33.30 tff(30655,plain,
% 50.25/33.30 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB131) | (~v198(constB131)))),
% 50.25/33.30 inference(quant_inst,[status(thm)],[])).
% 50.25/33.30 tff(30656,plain,
% 50.25/33.30 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB131) | (~v198(constB131))),
% 50.25/33.30 inference(modus_ponens,[status(thm)],[30655, 30654])).
% 50.25/33.30 tff(30657,plain,
% 50.25/33.30 (v197(constB131)),
% 50.25/33.30 inference(unit_resolution,[status(thm)],[30656, 8834, 30649])).
% 50.25/33.30 tff(30658,plain,
% 50.25/33.30 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB131) | v201(constB131) | (~v197(constB131)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB131) | v201(constB131) | (~v197(constB131)))),
% 50.25/33.30 inference(rewrite,[status(thm)],[])).
% 50.25/33.30 tff(30659,plain,
% 50.25/33.30 (((~v197(constB131)) | v201(constB131) | v227(constB131)) <=> (v227(constB131) | v201(constB131) | (~v197(constB131)))),
% 50.25/33.30 inference(rewrite,[status(thm)],[])).
% 50.25/33.30 tff(30660,plain,
% 50.25/33.30 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB131)) | v201(constB131) | v227(constB131))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB131) | v201(constB131) | (~v197(constB131))))),
% 50.25/33.30 inference(monotonicity,[status(thm)],[30659])).
% 50.25/33.30 tff(30661,plain,
% 50.25/33.30 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB131)) | v201(constB131) | v227(constB131))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB131) | v201(constB131) | (~v197(constB131)))),
% 50.25/33.30 inference(transitivity,[status(thm)],[30660, 30658])).
% 50.25/33.30 tff(30662,plain,
% 50.25/33.30 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB131)) | v201(constB131) | v227(constB131))),
% 50.25/33.30 inference(quant_inst,[status(thm)],[])).
% 50.25/33.30 tff(30663,plain,
% 50.25/33.30 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB131) | v201(constB131) | (~v197(constB131))),
% 50.25/33.30 inference(modus_ponens,[status(thm)],[30662, 30661])).
% 50.25/33.30 tff(30664,plain,
% 50.25/33.30 (v227(constB131)),
% 50.25/33.30 inference(unit_resolution,[status(thm)],[30663, 8848, 30657, 30653])).
% 50.25/33.30 tff(30665,plain,
% 50.25/33.30 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB131)) | (~v223(constB131, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB131)) | (~v223(constB131, bitIndex0)))),
% 50.25/33.30 inference(rewrite,[status(thm)],[])).
% 50.25/33.30 tff(30666,plain,
% 50.25/33.30 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB131)) | (~v223(constB131, bitIndex0)))),
% 50.25/33.30 inference(quant_inst,[status(thm)],[])).
% 50.25/33.30 tff(30667,plain,
% 50.25/33.30 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB131)) | (~v223(constB131, bitIndex0))),
% 50.25/33.30 inference(modus_ponens,[status(thm)],[30666, 30665])).
% 50.25/33.30 tff(30668,plain,
% 50.25/33.30 (~v223(constB131, bitIndex0)),
% 50.25/33.30 inference(unit_resolution,[status(thm)],[30667, 8862, 30664])).
% 50.25/33.30 tff(30669,plain,
% 50.25/33.30 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB131)) | (~v199(constB131)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB131)) | (~v199(constB131)))),
% 50.25/33.30 inference(rewrite,[status(thm)],[])).
% 50.25/33.30 tff(30670,plain,
% 50.25/33.30 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB131)) | (~v199(constB131)))),
% 50.25/33.30 inference(quant_inst,[status(thm)],[])).
% 50.25/33.30 tff(30671,plain,
% 50.25/33.30 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB131)) | (~v199(constB131))),
% 50.25/33.30 inference(modus_ponens,[status(thm)],[30670, 30669])).
% 50.25/33.30 tff(30672,plain,
% 50.25/33.30 (~v183(constB131)),
% 50.25/33.30 inference(unit_resolution,[status(thm)],[30671, 8873, 30645])).
% 50.25/33.30 tff(30673,plain,
% 50.25/33.30 (((~![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))),
% 50.25/33.30 inference(rewrite,[status(thm)],[])).
% 50.25/33.30 tff(30674,plain,
% 50.25/33.30 (((~v197(constB131)) | v183(constB131) | v228(constB131)) <=> (v228(constB131) | (~v197(constB131)) | v183(constB131))),
% 50.25/33.30 inference(rewrite,[status(thm)],[])).
% 50.25/33.30 tff(30675,plain,
% 50.25/33.30 (((~![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)))),
% 50.25/33.30 inference(monotonicity,[status(thm)],[30674])).
% 50.25/33.30 tff(30676,plain,
% 50.25/33.30 (((~![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))),
% 50.25/33.30 inference(transitivity,[status(thm)],[30675, 30673])).
% 50.25/33.30 tff(30677,plain,
% 50.25/33.30 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB131)) | v183(constB131) | v228(constB131))),
% 50.25/33.30 inference(quant_inst,[status(thm)],[])).
% 50.25/33.30 tff(30678,plain,
% 50.25/33.30 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB131) | (~v197(constB131)) | v183(constB131)),
% 50.25/33.30 inference(modus_ponens,[status(thm)],[30677, 30676])).
% 50.25/33.30 tff(30679,plain,
% 50.25/33.30 (v228(constB131)),
% 50.25/33.30 inference(unit_resolution,[status(thm)],[30678, 8887, 30657, 30672])).
% 50.25/33.30 tff(30680,plain,
% 50.25/33.30 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB131)) | (~v223(constB131, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB131)) | (~v223(constB131, bitIndex1)))),
% 50.25/33.30 inference(rewrite,[status(thm)],[])).
% 50.25/33.30 tff(30681,plain,
% 50.25/33.30 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB131)) | (~v223(constB131, bitIndex1)))),
% 50.25/33.30 inference(quant_inst,[status(thm)],[])).
% 50.25/33.30 tff(30682,plain,
% 50.25/33.30 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB131)) | (~v223(constB131, bitIndex1))),
% 50.25/33.30 inference(modus_ponens,[status(thm)],[30681, 30680])).
% 50.25/33.30 tff(30683,plain,
% 50.25/33.30 (~v223(constB131, bitIndex1)),
% 50.25/33.30 inference(unit_resolution,[status(thm)],[30682, 8901, 30679])).
% 50.25/33.30 tff(30684,plain,
% 50.25/33.30 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB131, bitIndex1) | v223(constB131, bitIndex0) | (~v229(constB131)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB131, bitIndex1) | v223(constB131, bitIndex0) | (~v229(constB131)))),
% 50.25/33.30 inference(rewrite,[status(thm)],[])).
% 50.25/33.30 tff(30685,plain,
% 50.25/33.30 ((v223(constB131, bitIndex0) | v223(constB131, bitIndex1) | (~v229(constB131))) <=> (v223(constB131, bitIndex1) | v223(constB131, bitIndex0) | (~v229(constB131)))),
% 50.25/33.30 inference(rewrite,[status(thm)],[])).
% 50.25/33.30 tff(30686,plain,
% 50.25/33.30 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB131, bitIndex0) | v223(constB131, bitIndex1) | (~v229(constB131)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB131, bitIndex1) | v223(constB131, bitIndex0) | (~v229(constB131))))),
% 50.25/33.30 inference(monotonicity,[status(thm)],[30685])).
% 50.25/33.30 tff(30687,plain,
% 50.25/33.30 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB131, bitIndex0) | v223(constB131, bitIndex1) | (~v229(constB131)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB131, bitIndex1) | v223(constB131, bitIndex0) | (~v229(constB131)))),
% 50.25/33.30 inference(transitivity,[status(thm)],[30686, 30684])).
% 50.25/33.30 tff(30688,plain,
% 50.25/33.30 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB131, bitIndex0) | v223(constB131, bitIndex1) | (~v229(constB131)))),
% 50.25/33.30 inference(quant_inst,[status(thm)],[])).
% 50.25/33.30 tff(30689,plain,
% 50.25/33.30 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB131, bitIndex1) | v223(constB131, bitIndex0) | (~v229(constB131))),
% 50.25/33.30 inference(modus_ponens,[status(thm)],[30688, 30687])).
% 50.25/33.30 tff(30690,plain,
% 50.25/33.30 (~v229(constB131)),
% 50.25/33.30 inference(unit_resolution,[status(thm)],[30689, 8915, 30683, 30668])).
% 50.25/33.30 tff(30691,plain,
% 50.25/33.30 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB131) | (~v225(constB131)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB131) | (~v225(constB131)))),
% 50.25/33.30 inference(rewrite,[status(thm)],[])).
% 50.25/33.30 tff(30692,plain,
% 50.25/33.30 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB131) | (~v225(constB131)))),
% 50.25/33.30 inference(quant_inst,[status(thm)],[])).
% 50.25/33.30 tff(30693,plain,
% 50.25/33.30 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB131) | (~v225(constB131))),
% 50.25/33.30 inference(modus_ponens,[status(thm)],[30692, 30691])).
% 50.25/33.30 tff(30694,plain,
% 50.25/33.30 (~v225(constB131)),
% 50.25/33.30 inference(unit_resolution,[status(thm)],[30693, 8929, 30690])).
% 50.25/33.30 tff(30695,plain,
% 50.25/33.30 (((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB131) | (~v224(constB131)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB131) | (~v224(constB131)))),
% 50.25/33.30 inference(rewrite,[status(thm)],[])).
% 50.25/33.30 tff(30696,plain,
% 50.25/33.30 ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB131) | (~v224(constB131)))),
% 50.25/33.30 inference(quant_inst,[status(thm)],[])).
% 50.25/33.30 tff(30697,plain,
% 50.25/33.30 ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB131) | (~v224(constB131))),
% 50.25/33.30 inference(modus_ponens,[status(thm)],[30696, 30695])).
% 50.25/33.30 tff(30698,plain,
% 50.25/33.30 (~v224(constB131)),
% 50.25/33.30 inference(unit_resolution,[status(thm)],[30697, 8940, 30694])).
% 50.25/33.30 tff(30699,plain,
% 50.25/33.30 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB131)) | v223(constB131, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB131)) | v223(constB131, bitIndex1))),
% 50.25/33.30 inference(rewrite,[status(thm)],[])).
% 50.25/33.30 tff(30700,plain,
% 50.25/33.30 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB131)) | v223(constB131, bitIndex1))),
% 50.25/33.30 inference(quant_inst,[status(thm)],[])).
% 50.25/33.30 tff(30701,plain,
% 50.25/33.30 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB131)) | v223(constB131, bitIndex1)),
% 50.25/33.30 inference(modus_ponens,[status(thm)],[30700, 30699])).
% 50.25/33.30 tff(30702,plain,
% 50.25/33.30 (~v222(constB131)),
% 50.25/33.30 inference(unit_resolution,[status(thm)],[30701, 8954, 30683])).
% 50.25/33.30 tff(30703,plain,
% 50.25/33.30 (((~![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)))),
% 50.25/33.30 inference(rewrite,[status(thm)],[])).
% 50.25/33.30 tff(30704,plain,
% 50.25/33.30 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB131) | v224(constB131) | (~v236(constB131)))),
% 50.25/33.30 inference(quant_inst,[status(thm)],[])).
% 50.25/33.30 tff(30705,plain,
% 50.25/33.30 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB131) | v224(constB131) | (~v236(constB131))),
% 50.25/33.30 inference(modus_ponens,[status(thm)],[30704, 30703])).
% 50.25/33.30 tff(30706,plain,
% 50.25/33.30 (v224(constB131) | (~v236(constB131))),
% 50.25/33.30 inference(unit_resolution,[status(thm)],[30705, 8968, 30702])).
% 50.25/33.30 tff(30707,plain,
% 50.25/33.30 (~v236(constB131)),
% 50.25/33.30 inference(unit_resolution,[status(thm)],[30706, 30698])).
% 50.25/33.30 tff(30708,plain,
% 50.25/33.30 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB131) | (~v232(constB131)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB131) | (~v232(constB131)))),
% 50.25/33.30 inference(rewrite,[status(thm)],[])).
% 50.25/33.30 tff(30709,plain,
% 50.25/33.30 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB131) | (~v232(constB131)))),
% 50.25/33.30 inference(quant_inst,[status(thm)],[])).
% 50.25/33.30 tff(30710,plain,
% 50.25/33.30 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB131) | (~v232(constB131))),
% 50.25/33.30 inference(modus_ponens,[status(thm)],[30709, 30708])).
% 50.25/33.30 tff(30711,plain,
% 50.25/33.30 (~v232(constB131)),
% 50.25/33.30 inference(unit_resolution,[status(thm)],[30710, 8980, 30707])).
% 50.25/33.30 tff(30712,plain,
% 50.25/33.30 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB131, bitIndex1)) | (~v140(constB131)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB131, bitIndex1)) | (~v140(constB131)))),
% 50.25/33.30 inference(rewrite,[status(thm)],[])).
% 50.25/33.30 tff(30713,plain,
% 50.25/33.30 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB131, bitIndex1)) | (~v140(constB131)))),
% 50.25/33.30 inference(quant_inst,[status(thm)],[])).
% 50.25/33.30 tff(30714,plain,
% 50.25/33.30 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB131, bitIndex1)) | (~v140(constB131))),
% 50.25/33.30 inference(modus_ponens,[status(thm)],[30713, 30712])).
% 50.25/33.30 tff(30715,plain,
% 50.25/33.30 (~v140(constB131)),
% 50.25/33.30 inference(unit_resolution,[status(thm)],[30714, 9002, 30630])).
% 50.25/33.30 tff(30716,plain,
% 50.25/33.30 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB131, bitIndex0)) | (~v139(constB131)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB131, bitIndex0)) | (~v139(constB131)))),
% 50.25/33.30 inference(rewrite,[status(thm)],[])).
% 50.25/33.30 tff(30717,plain,
% 50.25/33.30 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB131, bitIndex0)) | (~v139(constB131)))),
% 50.25/33.30 inference(quant_inst,[status(thm)],[])).
% 50.25/33.30 tff(30718,plain,
% 50.25/33.30 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB131, bitIndex0)) | (~v139(constB131))),
% 50.25/33.30 inference(modus_ponens,[status(thm)],[30717, 30716])).
% 50.25/33.30 tff(30719,plain,
% 50.25/33.30 (~v139(constB131)),
% 50.25/33.30 inference(unit_resolution,[status(thm)],[30718, 8991, 30634])).
% 50.25/33.30 tff(30720,plain,
% 50.25/33.30 (((~![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)))),
% 50.25/33.30 inference(rewrite,[status(thm)],[])).
% 50.25/33.30 tff(30721,plain,
% 50.25/33.30 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB131) | v139(constB131) | (~v148(constB131)))),
% 50.25/33.30 inference(quant_inst,[status(thm)],[])).
% 50.25/33.30 tff(30722,plain,
% 50.25/33.30 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB131) | v139(constB131) | (~v148(constB131))),
% 50.25/33.30 inference(modus_ponens,[status(thm)],[30721, 30720])).
% 50.25/33.30 tff(30723,plain,
% 50.25/33.30 (~v148(constB131)),
% 50.25/33.30 inference(unit_resolution,[status(thm)],[30722, 9016, 30719, 30715])).
% 50.25/33.30 tff(30724,plain,
% 50.25/33.30 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB131) | v148(constB131) | (~v197(constB131)))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB131) | v148(constB131) | (~v197(constB131)))),
% 50.25/33.30 inference(rewrite,[status(thm)],[])).
% 50.25/33.30 tff(30725,plain,
% 50.25/33.30 ((v148(constB131) | (~v197(constB131)) | v252(constB131)) <=> (v252(constB131) | v148(constB131) | (~v197(constB131)))),
% 50.25/33.30 inference(rewrite,[status(thm)],[])).
% 50.25/33.30 tff(30726,plain,
% 50.25/33.30 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB131) | (~v197(constB131)) | v252(constB131))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB131) | v148(constB131) | (~v197(constB131))))),
% 50.25/33.30 inference(monotonicity,[status(thm)],[30725])).
% 50.25/33.30 tff(30727,plain,
% 50.25/33.30 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB131) | (~v197(constB131)) | v252(constB131))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB131) | v148(constB131) | (~v197(constB131)))),
% 50.25/33.30 inference(transitivity,[status(thm)],[30726, 30724])).
% 50.25/33.30 tff(30728,plain,
% 50.25/33.30 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB131) | (~v197(constB131)) | v252(constB131))),
% 50.25/33.30 inference(quant_inst,[status(thm)],[])).
% 50.25/33.30 tff(30729,plain,
% 50.25/33.30 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB131) | v148(constB131) | (~v197(constB131))),
% 50.25/33.30 inference(modus_ponens,[status(thm)],[30728, 30727])).
% 50.25/33.30 tff(30730,plain,
% 50.25/33.30 (v252(constB131) | (~v197(constB131))),
% 50.25/33.30 inference(unit_resolution,[status(thm)],[30729, 9033, 30723])).
% 50.25/33.30 tff(30731,plain,
% 50.25/33.30 (v252(constB131)),
% 50.25/33.30 inference(unit_resolution,[status(thm)],[30730, 30657])).
% 50.25/33.30 tff(30732,plain,
% 50.25/33.30 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB131)) | (~v223(constB131, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB131)) | (~v223(constB131, bitIndex3)))),
% 50.25/33.30 inference(rewrite,[status(thm)],[])).
% 50.25/33.30 tff(30733,plain,
% 50.25/33.30 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB131)) | (~v223(constB131, bitIndex3)))),
% 50.25/33.30 inference(quant_inst,[status(thm)],[])).
% 50.25/33.30 tff(30734,plain,
% 50.25/33.30 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB131)) | (~v223(constB131, bitIndex3))),
% 50.25/33.30 inference(modus_ponens,[status(thm)],[30733, 30732])).
% 50.25/33.30 tff(30735,plain,
% 50.25/33.30 (~v223(constB131, bitIndex3)),
% 50.25/33.30 inference(unit_resolution,[status(thm)],[30734, 9048, 30731])).
% 50.25/33.30 tff(30736,plain,
% 50.25/33.30 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB131)) | v223(constB131, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB131)) | v223(constB131, bitIndex3))),
% 50.25/33.30 inference(rewrite,[status(thm)],[])).
% 50.25/33.30 tff(30737,plain,
% 50.25/33.30 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB131)) | v223(constB131, bitIndex3))),
% 50.25/33.30 inference(quant_inst,[status(thm)],[])).
% 50.25/33.30 tff(30738,plain,
% 50.25/33.30 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB131)) | v223(constB131, bitIndex3)),
% 50.25/33.30 inference(modus_ponens,[status(thm)],[30737, 30736])).
% 50.25/33.30 tff(30739,plain,
% 50.25/33.30 (~v237(constB131)),
% 50.25/33.30 inference(unit_resolution,[status(thm)],[30738, 9062, 30735])).
% 50.25/33.30 tff(30740,plain,
% 50.25/33.30 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB131) | (~v248(constB131)) | v232(constB131))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB131) | (~v248(constB131)) | v232(constB131))),
% 50.25/33.30 inference(rewrite,[status(thm)],[])).
% 50.25/33.30 tff(30741,plain,
% 50.25/33.30 ((v237(constB131) | v232(constB131) | (~v248(constB131))) <=> (v237(constB131) | (~v248(constB131)) | v232(constB131))),
% 50.25/33.30 inference(rewrite,[status(thm)],[])).
% 50.25/33.30 tff(30742,plain,
% 50.25/33.30 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB131) | v232(constB131) | (~v248(constB131)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB131) | (~v248(constB131)) | v232(constB131)))),
% 50.25/33.30 inference(monotonicity,[status(thm)],[30741])).
% 50.25/33.30 tff(30743,plain,
% 50.25/33.30 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB131) | v232(constB131) | (~v248(constB131)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB131) | (~v248(constB131)) | v232(constB131))),
% 50.25/33.30 inference(transitivity,[status(thm)],[30742, 30740])).
% 50.25/33.30 tff(30744,plain,
% 50.25/33.30 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB131) | v232(constB131) | (~v248(constB131)))),
% 50.25/33.30 inference(quant_inst,[status(thm)],[])).
% 50.25/33.30 tff(30745,plain,
% 50.25/33.30 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB131) | (~v248(constB131)) | v232(constB131)),
% 50.25/33.30 inference(modus_ponens,[status(thm)],[30744, 30743])).
% 50.25/33.30 tff(30746,plain,
% 50.25/33.30 ((~v248(constB131)) | v232(constB131)),
% 50.25/33.30 inference(unit_resolution,[status(thm)],[30745, 9076, 30739])).
% 50.25/33.30 tff(30747,plain,
% 50.25/33.30 (~v248(constB131)),
% 50.25/33.30 inference(unit_resolution,[status(thm)],[30746, 30711])).
% 50.25/33.30 tff(30748,plain,
% 50.25/33.30 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB131) | (~v244(constB131)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB131) | (~v244(constB131)))),
% 50.25/33.30 inference(rewrite,[status(thm)],[])).
% 50.25/33.30 tff(30749,plain,
% 50.25/33.30 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB131) | (~v244(constB131)))),
% 50.25/33.30 inference(quant_inst,[status(thm)],[])).
% 50.25/33.30 tff(30750,plain,
% 50.25/33.30 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB131) | (~v244(constB131))),
% 50.25/33.30 inference(modus_ponens,[status(thm)],[30749, 30748])).
% 50.25/33.30 tff(30751,plain,
% 50.25/33.30 (~v244(constB131)),
% 50.25/33.30 inference(unit_resolution,[status(thm)],[30750, 11335, 30747])).
% 50.25/33.30 tff(30752,plain,
% 50.25/33.30 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB131) | (~v216(constB131, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB131) | (~v216(constB131, bitIndex1)))),
% 50.25/33.30 inference(rewrite,[status(thm)],[])).
% 50.25/33.30 tff(30753,plain,
% 50.25/33.30 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB131) | (~v216(constB131, bitIndex1)))),
% 50.25/33.30 inference(quant_inst,[status(thm)],[])).
% 50.25/33.30 tff(30754,plain,
% 50.25/33.30 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB131) | (~v216(constB131, bitIndex1))),
% 50.25/33.30 inference(modus_ponens,[status(thm)],[30753, 30752])).
% 50.25/33.30 tff(30755,plain,
% 50.25/33.30 (~v216(constB131, bitIndex1)),
% 50.25/33.30 inference(unit_resolution,[status(thm)],[30754, 11346, 30751])).
% 50.25/33.30 tff(30756,plain,
% 50.25/33.30 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB131, bitIndex1) | (~v254(constB131)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB131, bitIndex1) | (~v254(constB131)))),
% 50.25/33.30 inference(rewrite,[status(thm)],[])).
% 50.25/33.30 tff(30757,plain,
% 50.25/33.30 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB131, bitIndex1) | (~v254(constB131)))),
% 50.25/33.30 inference(quant_inst,[status(thm)],[])).
% 50.25/33.30 tff(30758,plain,
% 50.25/33.30 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB131, bitIndex1) | (~v254(constB131))),
% 50.25/33.30 inference(modus_ponens,[status(thm)],[30757, 30756])).
% 50.25/33.30 tff(30759,plain,
% 50.25/33.30 (~v254(constB131)),
% 50.25/33.30 inference(unit_resolution,[status(thm)],[30758, 11357, 30755])).
% 50.25/33.30 tff(30760,plain,
% 50.25/33.30 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB131) | (~v231(constB131)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB131) | (~v231(constB131)))),
% 50.25/33.30 inference(rewrite,[status(thm)],[])).
% 50.25/33.30 tff(30761,plain,
% 50.25/33.30 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB131) | (~v231(constB131)))),
% 50.25/33.30 inference(quant_inst,[status(thm)],[])).
% 50.25/33.30 tff(30762,plain,
% 50.25/33.30 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB131) | (~v231(constB131))),
% 50.25/33.30 inference(modus_ponens,[status(thm)],[30761, 30760])).
% 50.25/33.30 tff(30763,plain,
% 50.25/33.30 (~v231(constB131)),
% 50.25/33.30 inference(unit_resolution,[status(thm)],[30762, 11162, 30739])).
% 50.25/33.30 tff(30764,plain,
% 50.25/33.30 (((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB131) | (~v221(constB131)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB131) | (~v221(constB131)))),
% 50.25/33.30 inference(rewrite,[status(thm)],[])).
% 50.25/33.30 tff(30765,plain,
% 50.25/33.30 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB131) | (~v221(constB131)))),
% 50.25/33.30 inference(quant_inst,[status(thm)],[])).
% 50.25/33.30 tff(30766,plain,
% 50.25/33.30 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB131) | (~v221(constB131))),
% 50.25/33.30 inference(modus_ponens,[status(thm)],[30765, 30764])).
% 50.25/33.30 tff(30767,plain,
% 50.25/33.30 (~v221(constB131)),
% 50.25/33.30 inference(unit_resolution,[status(thm)],[30766, 11192, 30702])).
% 50.25/33.30 tff(30768,plain,
% 50.25/33.30 (((~![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)))),
% 50.25/33.30 inference(rewrite,[status(thm)],[])).
% 50.25/33.30 tff(30769,plain,
% 50.25/33.30 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB131) | v231(constB131) | (~v243(constB131)))),
% 50.25/33.30 inference(quant_inst,[status(thm)],[])).
% 50.25/33.30 tff(30770,plain,
% 50.25/33.30 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB131) | v231(constB131) | (~v243(constB131))),
% 50.25/33.30 inference(modus_ponens,[status(thm)],[30769, 30768])).
% 50.25/33.30 tff(30771,plain,
% 50.25/33.30 (~v243(constB131)),
% 50.25/33.30 inference(unit_resolution,[status(thm)],[30770, 11206, 30767, 30763])).
% 50.25/33.30 tff(30772,plain,
% 50.25/33.30 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB131) | v255(constB131))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB131) | v255(constB131))),
% 50.25/33.30 inference(rewrite,[status(thm)],[])).
% 50.25/33.30 tff(30773,plain,
% 50.25/33.30 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB131) | v255(constB131))),
% 50.25/33.30 inference(quant_inst,[status(thm)],[])).
% 50.25/33.30 tff(30774,plain,
% 50.25/33.30 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB131) | v255(constB131)),
% 50.25/33.30 inference(modus_ponens,[status(thm)],[30773, 30772])).
% 50.25/33.30 tff(30775,plain,
% 50.25/33.30 (v255(constB131)),
% 50.25/33.30 inference(unit_resolution,[status(thm)],[30774, 11222, 30771])).
% 50.25/33.30 tff(30776,plain,
% 50.25/33.30 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB131)) | (~v216(constB131, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB131)) | (~v216(constB131, bitIndex2)))),
% 50.25/33.30 inference(rewrite,[status(thm)],[])).
% 50.25/33.30 tff(30777,plain,
% 50.25/33.30 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB131)) | (~v216(constB131, bitIndex2)))),
% 50.25/33.30 inference(quant_inst,[status(thm)],[])).
% 50.25/33.30 tff(30778,plain,
% 50.25/33.30 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB131)) | (~v216(constB131, bitIndex2))),
% 50.26/33.30 inference(modus_ponens,[status(thm)],[30777, 30776])).
% 50.26/33.30 tff(30779,plain,
% 50.26/33.30 (~v216(constB131, bitIndex2)),
% 50.26/33.30 inference(unit_resolution,[status(thm)],[30778, 11237, 30775])).
% 50.26/33.30 tff(30780,plain,
% 50.26/33.30 (((~![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)))) | v216(constB131, bitIndex2) | v254(constB131) | (~v215(constB131)))),
% 50.26/33.30 inference(rewrite,[status(thm)],[])).
% 50.26/33.30 tff(30781,plain,
% 50.26/33.30 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB131, bitIndex2) | v254(constB131) | (~v215(constB131)))),
% 50.26/33.30 inference(quant_inst,[status(thm)],[])).
% 50.26/33.30 tff(30782,plain,
% 50.26/33.30 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB131, bitIndex2) | v254(constB131) | (~v215(constB131))),
% 50.26/33.30 inference(modus_ponens,[status(thm)],[30781, 30780])).
% 50.26/33.30 tff(30783,plain,
% 50.26/33.30 (v254(constB131) | (~v215(constB131))),
% 50.26/33.30 inference(unit_resolution,[status(thm)],[30782, 11278, 30779])).
% 50.26/33.30 tff(30784,plain,
% 50.26/33.30 (~v215(constB131)),
% 50.26/33.30 inference(unit_resolution,[status(thm)],[30783, 30759])).
% 50.26/33.30 tff(30785,plain,
% 50.26/33.30 ($false),
% 50.26/33.30 inference(unit_resolution,[status(thm)],[30784, 30622])).
% 50.26/33.30 tff(30786,plain,(~(constB131 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.26/33.30 tff(30787,assumption,(constB171 = sK0_VarCurr), introduced(assumption)).
% 50.26/33.30 tff(30788,plain,
% 50.26/33.30 (v215(constB171) <=> v215(sK0_VarCurr)),
% 50.26/33.30 inference(monotonicity,[status(thm)],[30787])).
% 50.26/33.30 tff(30789,plain,
% 50.26/33.30 (v215(sK0_VarCurr) <=> v215(constB171)),
% 50.26/33.30 inference(symmetry,[status(thm)],[30788])).
% 50.26/33.30 tff(30790,plain,
% 50.26/33.30 (v215(constB171)),
% 50.26/33.30 inference(modus_ponens,[status(thm)],[11268, 30789])).
% 50.26/33.30 tff(30791,plain,
% 50.26/33.30 (((~![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)))),
% 50.26/33.30 inference(rewrite,[status(thm)],[])).
% 50.26/33.30 tff(30792,plain,
% 50.26/33.30 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB171, bitIndex2) | (~v88(constB171, bitIndex2)))),
% 50.26/33.30 inference(quant_inst,[status(thm)],[])).
% 50.26/33.30 tff(30793,plain,
% 50.26/33.30 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB171, bitIndex2) | (~v88(constB171, bitIndex2))),
% 50.26/33.30 inference(modus_ponens,[status(thm)],[30792, 30791])).
% 50.26/33.30 tff(30794,plain,
% 50.26/33.30 (~v88(constB171, bitIndex2)),
% 50.26/33.30 inference(unit_resolution,[status(thm)],[30793, 8769, 22674])).
% 50.26/33.30 tff(30795,plain,
% 50.26/33.30 (((~![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))),
% 50.26/33.30 inference(rewrite,[status(thm)],[])).
% 50.26/33.30 tff(30796,plain,
% 50.26/33.30 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB171, bitIndex1)) | v88(constB171, bitIndex1))),
% 50.26/33.30 inference(quant_inst,[status(thm)],[])).
% 50.26/33.30 tff(30797,plain,
% 50.26/33.30 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB171, bitIndex1)) | v88(constB171, bitIndex1)),
% 50.26/33.30 inference(modus_ponens,[status(thm)],[30796, 30795])).
% 50.26/33.30 tff(30798,plain,
% 50.26/33.30 (v88(constB171, bitIndex1)),
% 50.26/33.30 inference(unit_resolution,[status(thm)],[30797, 8707, 22705])).
% 50.26/33.30 tff(30799,plain,
% 50.26/33.30 (((~![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))),
% 50.26/33.30 inference(rewrite,[status(thm)],[])).
% 50.26/33.30 tff(30800,plain,
% 50.26/33.30 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB171, bitIndex0)) | v88(constB171, bitIndex0))),
% 50.26/33.31 inference(quant_inst,[status(thm)],[])).
% 50.26/33.31 tff(30801,plain,
% 50.26/33.31 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB171, bitIndex0)) | v88(constB171, bitIndex0)),
% 50.26/33.31 inference(modus_ponens,[status(thm)],[30800, 30799])).
% 50.26/33.31 tff(30802,plain,
% 50.26/33.31 (v88(constB171, bitIndex0)),
% 50.26/33.31 inference(unit_resolution,[status(thm)],[30801, 8662, 22736])).
% 50.26/33.31 tff(30803,plain,
% 50.26/33.31 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB171, bitIndex2) | (~v88(constB171, bitIndex1)) | (~v88(constB171, bitIndex0)) | v141(constB171))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB171, bitIndex2) | (~v88(constB171, bitIndex1)) | (~v88(constB171, bitIndex0)) | v141(constB171))),
% 50.26/33.31 inference(rewrite,[status(thm)],[])).
% 50.26/33.31 tff(30804,plain,
% 50.26/33.31 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB171, bitIndex2) | (~v88(constB171, bitIndex1)) | (~v88(constB171, bitIndex0)) | v141(constB171))),
% 50.26/33.31 inference(quant_inst,[status(thm)],[])).
% 50.26/33.31 tff(30805,plain,
% 50.26/33.31 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB171, bitIndex2) | (~v88(constB171, bitIndex1)) | (~v88(constB171, bitIndex0)) | v141(constB171)),
% 50.26/33.31 inference(modus_ponens,[status(thm)],[30804, 30803])).
% 50.26/33.31 tff(30806,plain,
% 50.26/33.31 (v141(constB171)),
% 50.26/33.31 inference(unit_resolution,[status(thm)],[30805, 8783, 30802, 30798, 30794])).
% 50.26/33.31 tff(30807,plain,
% 50.26/33.31 (((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB171) | (~v141(constB171)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB171) | (~v141(constB171)))),
% 50.26/33.31 inference(rewrite,[status(thm)],[])).
% 50.26/33.31 tff(30808,plain,
% 50.26/33.31 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB171) | (~v141(constB171)))),
% 50.26/33.31 inference(quant_inst,[status(thm)],[])).
% 50.26/33.31 tff(30809,plain,
% 50.26/33.31 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB171) | (~v141(constB171))),
% 50.26/33.31 inference(modus_ponens,[status(thm)],[30808, 30807])).
% 50.26/33.31 tff(30810,plain,
% 50.26/33.31 (v199(constB171)),
% 50.26/33.31 inference(unit_resolution,[status(thm)],[30809, 8798, 30806])).
% 50.26/33.31 tff(30811,plain,
% 50.26/33.31 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB171) | (~v199(constB171)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB171) | (~v199(constB171)))),
% 50.26/33.31 inference(rewrite,[status(thm)],[])).
% 50.26/33.31 tff(30812,plain,
% 50.26/33.31 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB171) | (~v199(constB171)))),
% 50.26/33.31 inference(quant_inst,[status(thm)],[])).
% 50.26/33.31 tff(30813,plain,
% 50.26/33.31 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB171) | (~v199(constB171))),
% 50.26/33.31 inference(modus_ponens,[status(thm)],[30812, 30811])).
% 50.26/33.31 tff(30814,plain,
% 50.26/33.31 (v198(constB171)),
% 50.26/33.31 inference(unit_resolution,[status(thm)],[30813, 8809, 30810])).
% 50.26/33.31 tff(30815,plain,
% 50.26/33.31 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB171)) | (~v201(constB171)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB171)) | (~v201(constB171)))),
% 50.26/33.31 inference(rewrite,[status(thm)],[])).
% 50.26/33.31 tff(30816,plain,
% 50.26/33.31 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB171)) | (~v201(constB171)))),
% 50.26/33.31 inference(quant_inst,[status(thm)],[])).
% 50.26/33.31 tff(30817,plain,
% 50.26/33.31 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB171)) | (~v201(constB171))),
% 50.26/33.31 inference(modus_ponens,[status(thm)],[30816, 30815])).
% 50.26/33.31 tff(30818,plain,
% 50.26/33.31 (~v201(constB171)),
% 50.26/33.31 inference(unit_resolution,[status(thm)],[30817, 8823, 30814])).
% 50.26/33.31 tff(30819,plain,
% 50.26/33.31 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB171) | (~v198(constB171)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB171) | (~v198(constB171)))),
% 50.26/33.31 inference(rewrite,[status(thm)],[])).
% 50.26/33.31 tff(30820,plain,
% 50.26/33.31 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB171) | (~v198(constB171)))),
% 50.26/33.31 inference(quant_inst,[status(thm)],[])).
% 50.26/33.31 tff(30821,plain,
% 50.26/33.31 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB171) | (~v198(constB171))),
% 50.26/33.31 inference(modus_ponens,[status(thm)],[30820, 30819])).
% 50.26/33.31 tff(30822,plain,
% 50.26/33.31 (v197(constB171)),
% 50.26/33.31 inference(unit_resolution,[status(thm)],[30821, 8834, 30814])).
% 50.26/33.31 tff(30823,plain,
% 50.26/33.31 (((~![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)))),
% 50.26/33.31 inference(rewrite,[status(thm)],[])).
% 50.26/33.31 tff(30824,plain,
% 50.26/33.31 (((~v197(constB171)) | v201(constB171) | v227(constB171)) <=> (v227(constB171) | v201(constB171) | (~v197(constB171)))),
% 50.26/33.31 inference(rewrite,[status(thm)],[])).
% 50.26/33.31 tff(30825,plain,
% 50.26/33.31 (((~![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))))),
% 50.26/33.31 inference(monotonicity,[status(thm)],[30824])).
% 50.26/33.31 tff(30826,plain,
% 50.26/33.31 (((~![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)))),
% 50.26/33.31 inference(transitivity,[status(thm)],[30825, 30823])).
% 50.26/33.31 tff(30827,plain,
% 50.26/33.31 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB171)) | v201(constB171) | v227(constB171))),
% 50.26/33.31 inference(quant_inst,[status(thm)],[])).
% 50.26/33.31 tff(30828,plain,
% 50.26/33.31 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB171) | v201(constB171) | (~v197(constB171))),
% 50.26/33.31 inference(modus_ponens,[status(thm)],[30827, 30826])).
% 50.26/33.31 tff(30829,plain,
% 50.26/33.31 (v227(constB171)),
% 50.26/33.31 inference(unit_resolution,[status(thm)],[30828, 8848, 30822, 30818])).
% 50.26/33.31 tff(30830,plain,
% 50.26/33.31 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB171)) | (~v223(constB171, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB171)) | (~v223(constB171, bitIndex0)))),
% 50.26/33.31 inference(rewrite,[status(thm)],[])).
% 50.26/33.31 tff(30831,plain,
% 50.26/33.31 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB171)) | (~v223(constB171, bitIndex0)))),
% 50.26/33.31 inference(quant_inst,[status(thm)],[])).
% 50.26/33.31 tff(30832,plain,
% 50.26/33.31 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB171)) | (~v223(constB171, bitIndex0))),
% 50.26/33.31 inference(modus_ponens,[status(thm)],[30831, 30830])).
% 50.26/33.31 tff(30833,plain,
% 50.26/33.31 (~v223(constB171, bitIndex0)),
% 50.26/33.31 inference(unit_resolution,[status(thm)],[30832, 8862, 30829])).
% 50.26/33.31 tff(30834,plain,
% 50.26/33.31 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB171)) | (~v199(constB171)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB171)) | (~v199(constB171)))),
% 50.26/33.31 inference(rewrite,[status(thm)],[])).
% 50.26/33.31 tff(30835,plain,
% 50.26/33.31 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB171)) | (~v199(constB171)))),
% 50.26/33.31 inference(quant_inst,[status(thm)],[])).
% 50.26/33.31 tff(30836,plain,
% 50.26/33.31 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB171)) | (~v199(constB171))),
% 50.26/33.31 inference(modus_ponens,[status(thm)],[30835, 30834])).
% 50.26/33.31 tff(30837,plain,
% 50.26/33.31 (~v183(constB171)),
% 50.26/33.31 inference(unit_resolution,[status(thm)],[30836, 8873, 30810])).
% 50.26/33.31 tff(30838,plain,
% 50.26/33.31 (((~![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))),
% 50.26/33.31 inference(rewrite,[status(thm)],[])).
% 50.26/33.31 tff(30839,plain,
% 50.26/33.31 (((~v197(constB171)) | v183(constB171) | v228(constB171)) <=> (v228(constB171) | (~v197(constB171)) | v183(constB171))),
% 50.26/33.31 inference(rewrite,[status(thm)],[])).
% 50.26/33.31 tff(30840,plain,
% 50.26/33.31 (((~![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)))),
% 50.26/33.31 inference(monotonicity,[status(thm)],[30839])).
% 50.26/33.31 tff(30841,plain,
% 50.26/33.31 (((~![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))),
% 50.26/33.31 inference(transitivity,[status(thm)],[30840, 30838])).
% 50.26/33.31 tff(30842,plain,
% 50.26/33.31 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB171)) | v183(constB171) | v228(constB171))),
% 50.26/33.31 inference(quant_inst,[status(thm)],[])).
% 50.26/33.31 tff(30843,plain,
% 50.26/33.31 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB171) | (~v197(constB171)) | v183(constB171)),
% 50.26/33.31 inference(modus_ponens,[status(thm)],[30842, 30841])).
% 50.26/33.31 tff(30844,plain,
% 50.26/33.31 (v228(constB171)),
% 50.26/33.31 inference(unit_resolution,[status(thm)],[30843, 8887, 30822, 30837])).
% 50.26/33.31 tff(30845,plain,
% 50.26/33.31 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB171)) | (~v223(constB171, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB171)) | (~v223(constB171, bitIndex1)))),
% 50.26/33.31 inference(rewrite,[status(thm)],[])).
% 50.26/33.31 tff(30846,plain,
% 50.26/33.31 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB171)) | (~v223(constB171, bitIndex1)))),
% 50.26/33.31 inference(quant_inst,[status(thm)],[])).
% 50.26/33.31 tff(30847,plain,
% 50.26/33.31 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB171)) | (~v223(constB171, bitIndex1))),
% 50.26/33.31 inference(modus_ponens,[status(thm)],[30846, 30845])).
% 50.26/33.31 tff(30848,plain,
% 50.26/33.31 (~v223(constB171, bitIndex1)),
% 50.26/33.31 inference(unit_resolution,[status(thm)],[30847, 8901, 30844])).
% 50.26/33.31 tff(30849,plain,
% 50.26/33.31 (((~![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)))),
% 50.26/33.31 inference(rewrite,[status(thm)],[])).
% 50.26/33.31 tff(30850,plain,
% 50.26/33.31 ((v223(constB171, bitIndex0) | v223(constB171, bitIndex1) | (~v229(constB171))) <=> (v223(constB171, bitIndex1) | v223(constB171, bitIndex0) | (~v229(constB171)))),
% 50.26/33.31 inference(rewrite,[status(thm)],[])).
% 50.26/33.31 tff(30851,plain,
% 50.26/33.31 (((~![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))))),
% 50.26/33.31 inference(monotonicity,[status(thm)],[30850])).
% 50.26/33.31 tff(30852,plain,
% 50.26/33.31 (((~![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)))),
% 50.26/33.31 inference(transitivity,[status(thm)],[30851, 30849])).
% 50.26/33.31 tff(30853,plain,
% 50.26/33.31 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB171, bitIndex0) | v223(constB171, bitIndex1) | (~v229(constB171)))),
% 50.26/33.31 inference(quant_inst,[status(thm)],[])).
% 50.26/33.31 tff(30854,plain,
% 50.26/33.31 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB171, bitIndex1) | v223(constB171, bitIndex0) | (~v229(constB171))),
% 50.26/33.31 inference(modus_ponens,[status(thm)],[30853, 30852])).
% 50.26/33.31 tff(30855,plain,
% 50.26/33.31 (~v229(constB171)),
% 50.26/33.31 inference(unit_resolution,[status(thm)],[30854, 8915, 30848, 30833])).
% 50.26/33.31 tff(30856,plain,
% 50.26/33.31 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB171) | (~v225(constB171)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB171) | (~v225(constB171)))),
% 50.26/33.31 inference(rewrite,[status(thm)],[])).
% 50.26/33.31 tff(30857,plain,
% 50.26/33.31 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB171) | (~v225(constB171)))),
% 50.26/33.31 inference(quant_inst,[status(thm)],[])).
% 50.26/33.31 tff(30858,plain,
% 50.26/33.31 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB171) | (~v225(constB171))),
% 50.26/33.31 inference(modus_ponens,[status(thm)],[30857, 30856])).
% 50.26/33.31 tff(30859,plain,
% 50.26/33.31 (~v225(constB171)),
% 50.26/33.31 inference(unit_resolution,[status(thm)],[30858, 8929, 30855])).
% 50.26/33.31 tff(30860,plain,
% 50.26/33.31 (((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB171) | (~v224(constB171)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB171) | (~v224(constB171)))),
% 50.26/33.31 inference(rewrite,[status(thm)],[])).
% 50.26/33.31 tff(30861,plain,
% 50.26/33.31 ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB171) | (~v224(constB171)))),
% 50.26/33.31 inference(quant_inst,[status(thm)],[])).
% 50.26/33.31 tff(30862,plain,
% 50.26/33.31 ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB171) | (~v224(constB171))),
% 50.26/33.31 inference(modus_ponens,[status(thm)],[30861, 30860])).
% 50.26/33.31 tff(30863,plain,
% 50.26/33.31 (~v224(constB171)),
% 50.26/33.31 inference(unit_resolution,[status(thm)],[30862, 8940, 30859])).
% 50.26/33.31 tff(30864,plain,
% 50.26/33.31 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB171)) | v223(constB171, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB171)) | v223(constB171, bitIndex1))),
% 50.26/33.31 inference(rewrite,[status(thm)],[])).
% 50.26/33.31 tff(30865,plain,
% 50.26/33.31 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB171)) | v223(constB171, bitIndex1))),
% 50.26/33.31 inference(quant_inst,[status(thm)],[])).
% 50.26/33.31 tff(30866,plain,
% 50.26/33.31 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB171)) | v223(constB171, bitIndex1)),
% 50.26/33.31 inference(modus_ponens,[status(thm)],[30865, 30864])).
% 50.26/33.31 tff(30867,plain,
% 50.26/33.31 (~v222(constB171)),
% 50.26/33.31 inference(unit_resolution,[status(thm)],[30866, 8954, 30848])).
% 50.26/33.31 tff(30868,plain,
% 50.26/33.31 (((~![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)))),
% 50.26/33.31 inference(rewrite,[status(thm)],[])).
% 50.26/33.31 tff(30869,plain,
% 50.26/33.31 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB171) | v224(constB171) | (~v236(constB171)))),
% 50.26/33.31 inference(quant_inst,[status(thm)],[])).
% 50.26/33.31 tff(30870,plain,
% 50.26/33.31 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB171) | v224(constB171) | (~v236(constB171))),
% 50.26/33.31 inference(modus_ponens,[status(thm)],[30869, 30868])).
% 50.26/33.31 tff(30871,plain,
% 50.26/33.31 (v224(constB171) | (~v236(constB171))),
% 50.26/33.31 inference(unit_resolution,[status(thm)],[30870, 8968, 30867])).
% 50.26/33.31 tff(30872,plain,
% 50.26/33.31 (~v236(constB171)),
% 50.26/33.31 inference(unit_resolution,[status(thm)],[30871, 30863])).
% 50.26/33.31 tff(30873,plain,
% 50.26/33.31 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB171) | (~v232(constB171)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB171) | (~v232(constB171)))),
% 50.26/33.31 inference(rewrite,[status(thm)],[])).
% 50.26/33.31 tff(30874,plain,
% 50.26/33.31 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB171) | (~v232(constB171)))),
% 50.26/33.31 inference(quant_inst,[status(thm)],[])).
% 50.26/33.31 tff(30875,plain,
% 50.26/33.31 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB171) | (~v232(constB171))),
% 50.26/33.31 inference(modus_ponens,[status(thm)],[30874, 30873])).
% 50.26/33.31 tff(30876,plain,
% 50.26/33.31 (~v232(constB171)),
% 50.26/33.31 inference(unit_resolution,[status(thm)],[30875, 8980, 30872])).
% 50.26/33.31 tff(30877,plain,
% 50.26/33.31 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB171, bitIndex1)) | (~v140(constB171)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB171, bitIndex1)) | (~v140(constB171)))),
% 50.26/33.31 inference(rewrite,[status(thm)],[])).
% 50.26/33.31 tff(30878,plain,
% 50.26/33.31 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB171, bitIndex1)) | (~v140(constB171)))),
% 50.26/33.31 inference(quant_inst,[status(thm)],[])).
% 50.26/33.31 tff(30879,plain,
% 50.26/33.31 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB171, bitIndex1)) | (~v140(constB171))),
% 50.26/33.31 inference(modus_ponens,[status(thm)],[30878, 30877])).
% 50.26/33.31 tff(30880,plain,
% 50.26/33.31 (~v140(constB171)),
% 50.26/33.31 inference(unit_resolution,[status(thm)],[30879, 9002, 30798])).
% 50.26/33.31 tff(30881,plain,
% 50.26/33.31 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB171, bitIndex0)) | (~v139(constB171)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB171, bitIndex0)) | (~v139(constB171)))),
% 50.26/33.31 inference(rewrite,[status(thm)],[])).
% 50.26/33.31 tff(30882,plain,
% 50.26/33.31 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB171, bitIndex0)) | (~v139(constB171)))),
% 50.26/33.31 inference(quant_inst,[status(thm)],[])).
% 50.26/33.31 tff(30883,plain,
% 50.26/33.31 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB171, bitIndex0)) | (~v139(constB171))),
% 50.26/33.31 inference(modus_ponens,[status(thm)],[30882, 30881])).
% 50.26/33.31 tff(30884,plain,
% 50.26/33.31 (~v139(constB171)),
% 50.26/33.31 inference(unit_resolution,[status(thm)],[30883, 8991, 30802])).
% 50.26/33.31 tff(30885,plain,
% 50.26/33.31 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB171) | v139(constB171) | (~v148(constB171)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB171) | v139(constB171) | (~v148(constB171)))),
% 50.26/33.31 inference(rewrite,[status(thm)],[])).
% 50.26/33.31 tff(30886,plain,
% 50.26/33.31 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB171) | v139(constB171) | (~v148(constB171)))),
% 50.26/33.31 inference(quant_inst,[status(thm)],[])).
% 50.26/33.31 tff(30887,plain,
% 50.26/33.31 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB171) | v139(constB171) | (~v148(constB171))),
% 50.26/33.31 inference(modus_ponens,[status(thm)],[30886, 30885])).
% 50.26/33.31 tff(30888,plain,
% 50.26/33.31 (~v148(constB171)),
% 50.26/33.31 inference(unit_resolution,[status(thm)],[30887, 9016, 30884, 30880])).
% 50.26/33.31 tff(30889,plain,
% 50.26/33.31 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB171) | (~v197(constB171)) | v148(constB171))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB171) | (~v197(constB171)) | v148(constB171))),
% 50.26/33.31 inference(rewrite,[status(thm)],[])).
% 50.26/33.31 tff(30890,plain,
% 50.26/33.31 ((v148(constB171) | (~v197(constB171)) | v252(constB171)) <=> (v252(constB171) | (~v197(constB171)) | v148(constB171))),
% 50.26/33.31 inference(rewrite,[status(thm)],[])).
% 50.26/33.31 tff(30891,plain,
% 50.26/33.31 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB171) | (~v197(constB171)) | v252(constB171))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB171) | (~v197(constB171)) | v148(constB171)))),
% 50.26/33.31 inference(monotonicity,[status(thm)],[30890])).
% 50.26/33.31 tff(30892,plain,
% 50.26/33.31 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB171) | (~v197(constB171)) | v252(constB171))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB171) | (~v197(constB171)) | v148(constB171))),
% 50.26/33.31 inference(transitivity,[status(thm)],[30891, 30889])).
% 50.26/33.31 tff(30893,plain,
% 50.26/33.31 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB171) | (~v197(constB171)) | v252(constB171))),
% 50.26/33.31 inference(quant_inst,[status(thm)],[])).
% 50.26/33.31 tff(30894,plain,
% 50.26/33.31 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB171) | (~v197(constB171)) | v148(constB171)),
% 50.26/33.31 inference(modus_ponens,[status(thm)],[30893, 30892])).
% 50.26/33.31 tff(30895,plain,
% 50.26/33.31 (v252(constB171) | (~v197(constB171))),
% 50.26/33.31 inference(unit_resolution,[status(thm)],[30894, 9033, 30888])).
% 50.26/33.31 tff(30896,plain,
% 50.26/33.31 (v252(constB171)),
% 50.26/33.31 inference(unit_resolution,[status(thm)],[30895, 30822])).
% 50.26/33.31 tff(30897,plain,
% 50.26/33.31 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB171)) | (~v223(constB171, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB171)) | (~v223(constB171, bitIndex3)))),
% 50.26/33.31 inference(rewrite,[status(thm)],[])).
% 50.26/33.31 tff(30898,plain,
% 50.26/33.31 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB171)) | (~v223(constB171, bitIndex3)))),
% 50.26/33.31 inference(quant_inst,[status(thm)],[])).
% 50.26/33.31 tff(30899,plain,
% 50.26/33.31 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB171)) | (~v223(constB171, bitIndex3))),
% 50.26/33.31 inference(modus_ponens,[status(thm)],[30898, 30897])).
% 50.26/33.31 tff(30900,plain,
% 50.26/33.31 (~v223(constB171, bitIndex3)),
% 50.26/33.31 inference(unit_resolution,[status(thm)],[30899, 9048, 30896])).
% 50.26/33.31 tff(30901,plain,
% 50.26/33.31 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB171)) | v223(constB171, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB171)) | v223(constB171, bitIndex3))),
% 50.26/33.31 inference(rewrite,[status(thm)],[])).
% 50.26/33.31 tff(30902,plain,
% 50.26/33.31 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB171)) | v223(constB171, bitIndex3))),
% 50.26/33.31 inference(quant_inst,[status(thm)],[])).
% 50.26/33.31 tff(30903,plain,
% 50.26/33.31 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB171)) | v223(constB171, bitIndex3)),
% 50.26/33.31 inference(modus_ponens,[status(thm)],[30902, 30901])).
% 50.26/33.31 tff(30904,plain,
% 50.26/33.31 (~v237(constB171)),
% 50.26/33.31 inference(unit_resolution,[status(thm)],[30903, 9062, 30900])).
% 50.26/33.31 tff(30905,plain,
% 50.26/33.31 (((~![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))),
% 50.26/33.31 inference(rewrite,[status(thm)],[])).
% 50.26/33.31 tff(30906,plain,
% 50.26/33.31 ((v237(constB171) | v232(constB171) | (~v248(constB171))) <=> (v237(constB171) | (~v248(constB171)) | v232(constB171))),
% 50.26/33.31 inference(rewrite,[status(thm)],[])).
% 50.26/33.31 tff(30907,plain,
% 50.26/33.31 (((~![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)))),
% 50.26/33.31 inference(monotonicity,[status(thm)],[30906])).
% 50.26/33.31 tff(30908,plain,
% 50.26/33.31 (((~![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))),
% 50.26/33.31 inference(transitivity,[status(thm)],[30907, 30905])).
% 50.26/33.31 tff(30909,plain,
% 50.26/33.31 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB171) | v232(constB171) | (~v248(constB171)))),
% 50.26/33.31 inference(quant_inst,[status(thm)],[])).
% 50.26/33.31 tff(30910,plain,
% 50.26/33.31 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB171) | (~v248(constB171)) | v232(constB171)),
% 50.26/33.31 inference(modus_ponens,[status(thm)],[30909, 30908])).
% 50.26/33.31 tff(30911,plain,
% 50.26/33.31 ((~v248(constB171)) | v232(constB171)),
% 50.26/33.31 inference(unit_resolution,[status(thm)],[30910, 9076, 30904])).
% 50.26/33.31 tff(30912,plain,
% 50.26/33.31 (~v248(constB171)),
% 50.26/33.31 inference(unit_resolution,[status(thm)],[30911, 30876])).
% 50.26/33.31 tff(30913,plain,
% 50.26/33.31 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB171) | (~v244(constB171)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB171) | (~v244(constB171)))),
% 50.26/33.31 inference(rewrite,[status(thm)],[])).
% 50.26/33.31 tff(30914,plain,
% 50.26/33.31 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB171) | (~v244(constB171)))),
% 50.26/33.31 inference(quant_inst,[status(thm)],[])).
% 50.26/33.31 tff(30915,plain,
% 50.26/33.31 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB171) | (~v244(constB171))),
% 50.26/33.31 inference(modus_ponens,[status(thm)],[30914, 30913])).
% 50.26/33.31 tff(30916,plain,
% 50.26/33.31 (~v244(constB171)),
% 50.26/33.31 inference(unit_resolution,[status(thm)],[30915, 11335, 30912])).
% 50.26/33.31 tff(30917,plain,
% 50.26/33.31 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB171) | (~v216(constB171, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB171) | (~v216(constB171, bitIndex1)))),
% 50.26/33.31 inference(rewrite,[status(thm)],[])).
% 50.26/33.31 tff(30918,plain,
% 50.26/33.31 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB171) | (~v216(constB171, bitIndex1)))),
% 50.26/33.31 inference(quant_inst,[status(thm)],[])).
% 50.26/33.31 tff(30919,plain,
% 50.26/33.31 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB171) | (~v216(constB171, bitIndex1))),
% 50.26/33.31 inference(modus_ponens,[status(thm)],[30918, 30917])).
% 50.26/33.31 tff(30920,plain,
% 50.26/33.31 (~v216(constB171, bitIndex1)),
% 50.26/33.31 inference(unit_resolution,[status(thm)],[30919, 11346, 30916])).
% 50.26/33.31 tff(30921,plain,
% 50.26/33.31 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB171, bitIndex1) | (~v254(constB171)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB171, bitIndex1) | (~v254(constB171)))),
% 50.26/33.31 inference(rewrite,[status(thm)],[])).
% 50.26/33.31 tff(30922,plain,
% 50.26/33.31 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB171, bitIndex1) | (~v254(constB171)))),
% 50.26/33.31 inference(quant_inst,[status(thm)],[])).
% 50.26/33.31 tff(30923,plain,
% 50.26/33.31 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB171, bitIndex1) | (~v254(constB171))),
% 50.26/33.31 inference(modus_ponens,[status(thm)],[30922, 30921])).
% 50.26/33.31 tff(30924,plain,
% 50.26/33.31 (~v254(constB171)),
% 50.26/33.31 inference(unit_resolution,[status(thm)],[30923, 11357, 30920])).
% 50.26/33.31 tff(30925,plain,
% 50.26/33.31 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB171) | (~v231(constB171)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB171) | (~v231(constB171)))),
% 50.26/33.31 inference(rewrite,[status(thm)],[])).
% 50.26/33.31 tff(30926,plain,
% 50.26/33.31 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB171) | (~v231(constB171)))),
% 50.26/33.31 inference(quant_inst,[status(thm)],[])).
% 50.26/33.31 tff(30927,plain,
% 50.26/33.31 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB171) | (~v231(constB171))),
% 50.26/33.31 inference(modus_ponens,[status(thm)],[30926, 30925])).
% 50.26/33.31 tff(30928,plain,
% 50.26/33.31 (~v231(constB171)),
% 50.26/33.31 inference(unit_resolution,[status(thm)],[30927, 11162, 30904])).
% 50.26/33.31 tff(30929,plain,
% 50.26/33.31 (((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB171) | (~v221(constB171)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB171) | (~v221(constB171)))),
% 50.26/33.31 inference(rewrite,[status(thm)],[])).
% 50.26/33.31 tff(30930,plain,
% 50.26/33.31 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB171) | (~v221(constB171)))),
% 50.26/33.31 inference(quant_inst,[status(thm)],[])).
% 50.26/33.31 tff(30931,plain,
% 50.26/33.31 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB171) | (~v221(constB171))),
% 50.26/33.31 inference(modus_ponens,[status(thm)],[30930, 30929])).
% 50.26/33.31 tff(30932,plain,
% 50.26/33.31 (~v221(constB171)),
% 50.26/33.31 inference(unit_resolution,[status(thm)],[30931, 11192, 30867])).
% 50.26/33.31 tff(30933,plain,
% 50.26/33.31 (((~![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)))),
% 50.26/33.31 inference(rewrite,[status(thm)],[])).
% 50.26/33.31 tff(30934,plain,
% 50.26/33.31 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB171) | v231(constB171) | (~v243(constB171)))),
% 50.26/33.31 inference(quant_inst,[status(thm)],[])).
% 50.26/33.31 tff(30935,plain,
% 50.26/33.31 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB171) | v231(constB171) | (~v243(constB171))),
% 50.26/33.31 inference(modus_ponens,[status(thm)],[30934, 30933])).
% 50.26/33.31 tff(30936,plain,
% 50.26/33.31 (~v243(constB171)),
% 50.26/33.31 inference(unit_resolution,[status(thm)],[30935, 11206, 30932, 30928])).
% 50.26/33.31 tff(30937,plain,
% 50.26/33.31 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB171) | v255(constB171))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB171) | v255(constB171))),
% 50.26/33.31 inference(rewrite,[status(thm)],[])).
% 50.26/33.31 tff(30938,plain,
% 50.26/33.31 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB171) | v255(constB171))),
% 50.26/33.31 inference(quant_inst,[status(thm)],[])).
% 50.26/33.31 tff(30939,plain,
% 50.26/33.31 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB171) | v255(constB171)),
% 50.26/33.31 inference(modus_ponens,[status(thm)],[30938, 30937])).
% 50.26/33.31 tff(30940,plain,
% 50.26/33.31 (v255(constB171)),
% 50.26/33.31 inference(unit_resolution,[status(thm)],[30939, 11222, 30936])).
% 50.26/33.31 tff(30941,plain,
% 50.26/33.31 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB171)) | (~v216(constB171, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB171)) | (~v216(constB171, bitIndex2)))),
% 50.26/33.31 inference(rewrite,[status(thm)],[])).
% 50.26/33.31 tff(30942,plain,
% 50.26/33.31 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB171)) | (~v216(constB171, bitIndex2)))),
% 50.26/33.31 inference(quant_inst,[status(thm)],[])).
% 50.26/33.31 tff(30943,plain,
% 50.26/33.31 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB171)) | (~v216(constB171, bitIndex2))),
% 50.26/33.31 inference(modus_ponens,[status(thm)],[30942, 30941])).
% 50.26/33.31 tff(30944,plain,
% 50.26/33.31 (~v216(constB171, bitIndex2)),
% 50.26/33.31 inference(unit_resolution,[status(thm)],[30943, 11237, 30940])).
% 50.26/33.31 tff(30945,plain,
% 50.26/33.31 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB171, bitIndex2) | (~v215(constB171)) | v254(constB171))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB171, bitIndex2) | (~v215(constB171)) | v254(constB171))),
% 50.26/33.31 inference(rewrite,[status(thm)],[])).
% 50.26/33.31 tff(30946,plain,
% 50.26/33.31 ((v216(constB171, bitIndex2) | v254(constB171) | (~v215(constB171))) <=> (v216(constB171, bitIndex2) | (~v215(constB171)) | v254(constB171))),
% 50.26/33.31 inference(rewrite,[status(thm)],[])).
% 50.26/33.31 tff(30947,plain,
% 50.26/33.31 (((~![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)))) | (v216(constB171, bitIndex2) | (~v215(constB171)) | v254(constB171)))),
% 50.26/33.31 inference(monotonicity,[status(thm)],[30946])).
% 50.26/33.31 tff(30948,plain,
% 50.26/33.31 (((~![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)))) | v216(constB171, bitIndex2) | (~v215(constB171)) | v254(constB171))),
% 50.26/33.31 inference(transitivity,[status(thm)],[30947, 30945])).
% 50.26/33.31 tff(30949,plain,
% 50.26/33.31 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB171, bitIndex2) | v254(constB171) | (~v215(constB171)))),
% 50.26/33.31 inference(quant_inst,[status(thm)],[])).
% 50.26/33.31 tff(30950,plain,
% 50.26/33.31 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB171, bitIndex2) | (~v215(constB171)) | v254(constB171)),
% 50.26/33.31 inference(modus_ponens,[status(thm)],[30949, 30948])).
% 50.26/33.31 tff(30951,plain,
% 50.26/33.31 ((~v215(constB171)) | v254(constB171)),
% 50.26/33.31 inference(unit_resolution,[status(thm)],[30950, 11278, 30944])).
% 50.26/33.31 tff(30952,plain,
% 50.26/33.31 (~v215(constB171)),
% 50.26/33.31 inference(unit_resolution,[status(thm)],[30951, 30924])).
% 50.26/33.31 tff(30953,plain,
% 50.26/33.31 ($false),
% 50.26/33.31 inference(unit_resolution,[status(thm)],[30952, 30790])).
% 50.26/33.31 tff(30954,plain,(~(constB171 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.26/33.31 tff(30955,assumption,(constB25 = sK0_VarCurr), introduced(assumption)).
% 50.26/33.31 tff(30956,plain,
% 50.26/33.31 (v215(constB25) <=> v215(sK0_VarCurr)),
% 50.26/33.31 inference(monotonicity,[status(thm)],[30955])).
% 50.26/33.31 tff(30957,plain,
% 50.26/33.31 (v215(sK0_VarCurr) <=> v215(constB25)),
% 50.26/33.31 inference(symmetry,[status(thm)],[30956])).
% 50.26/33.31 tff(30958,plain,
% 50.26/33.31 (v215(constB25)),
% 50.26/33.31 inference(modus_ponens,[status(thm)],[11268, 30957])).
% 50.26/33.31 tff(30959,plain,
% 50.26/33.31 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB25, bitIndex0) | (~v88(constB25, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB25, bitIndex0) | (~v88(constB25, bitIndex0)))),
% 50.26/33.31 inference(rewrite,[status(thm)],[])).
% 50.26/33.31 tff(30960,plain,
% 50.26/33.31 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB25, bitIndex0) | (~v88(constB25, bitIndex0)))),
% 50.26/33.31 inference(quant_inst,[status(thm)],[])).
% 50.26/33.31 tff(30961,plain,
% 50.26/33.31 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB25, bitIndex0) | (~v88(constB25, bitIndex0))),
% 50.26/33.31 inference(modus_ponens,[status(thm)],[30960, 30959])).
% 50.26/33.31 tff(30962,plain,
% 50.26/33.31 (~v88(constB25, bitIndex0)),
% 50.26/33.31 inference(unit_resolution,[status(thm)],[30961, 10505, 4688])).
% 50.26/33.31 tff(30963,plain,
% 50.26/33.31 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB25, bitIndex2)) | v88(constB25, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB25, bitIndex2)) | v88(constB25, bitIndex2))),
% 50.26/33.31 inference(rewrite,[status(thm)],[])).
% 50.26/33.31 tff(30964,plain,
% 50.26/33.31 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB25, bitIndex2)) | v88(constB25, bitIndex2))),
% 50.26/33.31 inference(quant_inst,[status(thm)],[])).
% 50.26/33.31 tff(30965,plain,
% 50.26/33.31 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB25, bitIndex2)) | v88(constB25, bitIndex2)),
% 50.26/33.31 inference(modus_ponens,[status(thm)],[30964, 30963])).
% 50.26/33.31 tff(30966,plain,
% 50.26/33.31 (v88(constB25, bitIndex2)),
% 50.26/33.31 inference(unit_resolution,[status(thm)],[30965, 25107, 4623])).
% 50.26/33.31 tff(30967,plain,
% 50.26/33.31 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB25, bitIndex1)) | v88(constB25, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB25, bitIndex1)) | v88(constB25, bitIndex1))),
% 50.26/33.31 inference(rewrite,[status(thm)],[])).
% 50.26/33.31 tff(30968,plain,
% 50.26/33.31 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB25, bitIndex1)) | v88(constB25, bitIndex1))),
% 50.26/33.31 inference(quant_inst,[status(thm)],[])).
% 50.26/33.31 tff(30969,plain,
% 50.26/33.31 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB25, bitIndex1)) | v88(constB25, bitIndex1)),
% 50.26/33.31 inference(modus_ponens,[status(thm)],[30968, 30967])).
% 50.26/33.31 tff(30970,plain,
% 50.26/33.31 (v88(constB25, bitIndex1)),
% 50.26/33.31 inference(unit_resolution,[status(thm)],[30969, 8707, 4654])).
% 50.26/33.31 tff(30971,plain,
% 50.26/33.31 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB25, bitIndex0) | (~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v144(constB25))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB25, bitIndex0) | (~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v144(constB25))),
% 50.26/33.31 inference(rewrite,[status(thm)],[])).
% 50.26/33.31 tff(30972,plain,
% 50.26/33.31 (((~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v88(constB25, bitIndex0) | v144(constB25)) <=> (v88(constB25, bitIndex0) | (~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v144(constB25))),
% 50.26/33.31 inference(rewrite,[status(thm)],[])).
% 50.26/33.31 tff(30973,plain,
% 50.26/33.31 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v88(constB25, bitIndex0) | v144(constB25))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB25, bitIndex0) | (~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v144(constB25)))),
% 50.26/33.32 inference(monotonicity,[status(thm)],[30972])).
% 50.26/33.32 tff(30974,plain,
% 50.26/33.32 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v88(constB25, bitIndex0) | v144(constB25))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB25, bitIndex0) | (~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v144(constB25))),
% 50.26/33.32 inference(transitivity,[status(thm)],[30973, 30971])).
% 50.26/33.32 tff(30975,plain,
% 50.26/33.32 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v88(constB25, bitIndex0) | v144(constB25))),
% 50.26/33.32 inference(quant_inst,[status(thm)],[])).
% 50.26/33.32 tff(30976,plain,
% 50.26/33.32 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB25, bitIndex0) | (~v88(constB25, bitIndex2)) | (~v88(constB25, bitIndex1)) | v144(constB25)),
% 50.26/33.32 inference(modus_ponens,[status(thm)],[30975, 30974])).
% 50.26/33.32 tff(30977,plain,
% 50.26/33.32 (v144(constB25)),
% 50.26/33.32 inference(unit_resolution,[status(thm)],[30976, 25122, 30970, 30966, 30962])).
% 50.26/33.32 tff(30978,plain,
% 50.26/33.32 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB25) | (~v144(constB25)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB25) | (~v144(constB25)))),
% 50.26/33.32 inference(rewrite,[status(thm)],[])).
% 50.26/33.32 tff(30979,plain,
% 50.26/33.32 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB25) | (~v144(constB25)))),
% 50.26/33.32 inference(quant_inst,[status(thm)],[])).
% 50.26/33.32 tff(30980,plain,
% 50.26/33.32 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB25) | (~v144(constB25))),
% 50.26/33.32 inference(modus_ponens,[status(thm)],[30979, 30978])).
% 50.26/33.32 tff(30981,plain,
% 50.26/33.32 (v142(constB25)),
% 50.26/33.32 inference(unit_resolution,[status(thm)],[30980, 25139, 30977])).
% 50.26/33.32 tff(30982,plain,
% 50.26/33.32 (((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB25) | (~v142(constB25)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB25) | (~v142(constB25)))),
% 50.26/33.32 inference(rewrite,[status(thm)],[])).
% 50.26/33.32 tff(30983,plain,
% 50.26/33.32 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB25) | (~v142(constB25)))),
% 50.26/33.32 inference(quant_inst,[status(thm)],[])).
% 50.26/33.32 tff(30984,plain,
% 50.26/33.32 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB25) | (~v142(constB25))),
% 50.26/33.32 inference(modus_ponens,[status(thm)],[30983, 30982])).
% 50.26/33.32 tff(30985,plain,
% 50.26/33.32 (v198(constB25)),
% 50.26/33.32 inference(unit_resolution,[status(thm)],[30984, 10548, 30981])).
% 50.26/33.32 tff(30986,plain,
% 50.26/33.32 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB25)) | (~v201(constB25)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB25)) | (~v201(constB25)))),
% 50.26/33.32 inference(rewrite,[status(thm)],[])).
% 50.26/33.32 tff(30987,plain,
% 50.26/33.32 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB25)) | (~v201(constB25)))),
% 50.26/33.32 inference(quant_inst,[status(thm)],[])).
% 50.26/33.32 tff(30988,plain,
% 50.26/33.32 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB25)) | (~v201(constB25))),
% 50.26/33.32 inference(modus_ponens,[status(thm)],[30987, 30986])).
% 50.26/33.32 tff(30989,plain,
% 50.26/33.32 (~v201(constB25)),
% 50.26/33.32 inference(unit_resolution,[status(thm)],[30988, 8823, 30985])).
% 50.26/33.32 tff(30990,plain,
% 50.26/33.32 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB25) | (~v198(constB25)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB25) | (~v198(constB25)))),
% 50.26/33.32 inference(rewrite,[status(thm)],[])).
% 50.26/33.32 tff(30991,plain,
% 50.26/33.32 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB25) | (~v198(constB25)))),
% 50.26/33.32 inference(quant_inst,[status(thm)],[])).
% 50.26/33.32 tff(30992,plain,
% 50.26/33.32 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB25) | (~v198(constB25))),
% 50.26/33.32 inference(modus_ponens,[status(thm)],[30991, 30990])).
% 50.26/33.32 tff(30993,plain,
% 50.26/33.32 (v197(constB25)),
% 50.26/33.32 inference(unit_resolution,[status(thm)],[30992, 8834, 30985])).
% 50.26/33.32 tff(30994,plain,
% 50.26/33.32 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB25) | (~v197(constB25)) | v201(constB25))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB25) | (~v197(constB25)) | v201(constB25))),
% 50.26/33.32 inference(rewrite,[status(thm)],[])).
% 50.26/33.32 tff(30995,plain,
% 50.26/33.32 (((~v197(constB25)) | v201(constB25) | v227(constB25)) <=> (v227(constB25) | (~v197(constB25)) | v201(constB25))),
% 50.26/33.32 inference(rewrite,[status(thm)],[])).
% 50.26/33.32 tff(30996,plain,
% 50.26/33.32 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB25)) | v201(constB25) | v227(constB25))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB25) | (~v197(constB25)) | v201(constB25)))),
% 50.26/33.32 inference(monotonicity,[status(thm)],[30995])).
% 50.26/33.32 tff(30997,plain,
% 50.26/33.32 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB25)) | v201(constB25) | v227(constB25))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB25) | (~v197(constB25)) | v201(constB25))),
% 50.26/33.32 inference(transitivity,[status(thm)],[30996, 30994])).
% 50.26/33.32 tff(30998,plain,
% 50.26/33.32 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB25)) | v201(constB25) | v227(constB25))),
% 50.26/33.32 inference(quant_inst,[status(thm)],[])).
% 50.26/33.32 tff(30999,plain,
% 50.26/33.32 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB25) | (~v197(constB25)) | v201(constB25)),
% 50.26/33.32 inference(modus_ponens,[status(thm)],[30998, 30997])).
% 50.26/33.32 tff(31000,plain,
% 50.26/33.32 (v227(constB25)),
% 50.26/33.32 inference(unit_resolution,[status(thm)],[30999, 8848, 30993, 30989])).
% 50.26/33.32 tff(31001,plain,
% 50.26/33.32 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB25)) | (~v223(constB25, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB25)) | (~v223(constB25, bitIndex0)))),
% 50.26/33.32 inference(rewrite,[status(thm)],[])).
% 50.26/33.32 tff(31002,plain,
% 50.26/33.32 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB25)) | (~v223(constB25, bitIndex0)))),
% 50.26/33.32 inference(quant_inst,[status(thm)],[])).
% 50.26/33.32 tff(31003,plain,
% 50.26/33.32 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB25)) | (~v223(constB25, bitIndex0))),
% 50.26/33.32 inference(modus_ponens,[status(thm)],[31002, 31001])).
% 50.26/33.32 tff(31004,plain,
% 50.26/33.32 (~v223(constB25, bitIndex0)),
% 50.26/33.32 inference(unit_resolution,[status(thm)],[31003, 8862, 31000])).
% 50.26/33.32 tff(31005,plain,
% 50.26/33.32 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | ((~v222(constB25)) | v223(constB25, bitIndex0))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (~v222(constB25)) | v223(constB25, bitIndex0))),
% 50.26/33.32 inference(rewrite,[status(thm)],[])).
% 50.26/33.32 tff(31006,plain,
% 50.26/33.32 ((v223(constB25, bitIndex0) | (~v222(constB25))) <=> ((~v222(constB25)) | v223(constB25, bitIndex0))),
% 50.26/33.32 inference(rewrite,[status(thm)],[])).
% 50.26/33.32 tff(31007,plain,
% 50.26/33.32 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB25, bitIndex0) | (~v222(constB25)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | ((~v222(constB25)) | v223(constB25, bitIndex0)))),
% 50.26/33.32 inference(monotonicity,[status(thm)],[31006])).
% 50.26/33.32 tff(31008,plain,
% 50.26/33.32 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB25, bitIndex0) | (~v222(constB25)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (~v222(constB25)) | v223(constB25, bitIndex0))),
% 50.26/33.32 inference(transitivity,[status(thm)],[31007, 31005])).
% 50.26/33.32 tff(31009,plain,
% 50.26/33.32 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB25, bitIndex0) | (~v222(constB25)))),
% 50.26/33.32 inference(quant_inst,[status(thm)],[])).
% 50.26/33.32 tff(31010,plain,
% 50.26/33.32 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (~v222(constB25)) | v223(constB25, bitIndex0)),
% 50.26/33.32 inference(modus_ponens,[status(thm)],[31009, 31008])).
% 50.26/33.32 tff(31011,plain,
% 50.26/33.32 (~v222(constB25)),
% 50.26/33.32 inference(unit_resolution,[status(thm)],[31010, 10578, 31004])).
% 50.26/33.32 tff(31012,plain,
% 50.26/33.32 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB25, bitIndex1)) | (~v139(constB25)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB25, bitIndex1)) | (~v139(constB25)))),
% 50.26/33.32 inference(rewrite,[status(thm)],[])).
% 50.26/33.32 tff(31013,plain,
% 50.26/33.32 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB25, bitIndex1)) | (~v139(constB25)))),
% 50.26/33.32 inference(quant_inst,[status(thm)],[])).
% 50.26/33.32 tff(31014,plain,
% 50.26/33.32 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB25, bitIndex1)) | (~v139(constB25))),
% 50.26/33.32 inference(modus_ponens,[status(thm)],[31013, 31012])).
% 50.26/33.32 tff(31015,plain,
% 50.26/33.32 (~v139(constB25)),
% 50.26/33.32 inference(unit_resolution,[status(thm)],[31014, 10589, 30970])).
% 50.26/33.32 tff(31016,plain,
% 50.26/33.32 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB25, bitIndex1)) | (~v140(constB25)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB25, bitIndex1)) | (~v140(constB25)))),
% 50.26/33.32 inference(rewrite,[status(thm)],[])).
% 50.26/33.32 tff(31017,plain,
% 50.26/33.32 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB25, bitIndex1)) | (~v140(constB25)))),
% 50.26/33.32 inference(quant_inst,[status(thm)],[])).
% 50.26/33.32 tff(31018,plain,
% 50.26/33.32 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB25, bitIndex1)) | (~v140(constB25))),
% 50.26/33.32 inference(modus_ponens,[status(thm)],[31017, 31016])).
% 50.26/33.32 tff(31019,plain,
% 50.26/33.32 (~v140(constB25)),
% 50.26/33.32 inference(unit_resolution,[status(thm)],[31018, 9002, 30970])).
% 50.26/33.32 tff(31020,plain,
% 50.26/33.32 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB25) | v139(constB25) | (~v200(constB25)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB25) | v139(constB25) | (~v200(constB25)))),
% 50.26/33.32 inference(rewrite,[status(thm)],[])).
% 50.26/33.32 tff(31021,plain,
% 50.26/33.32 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB25) | v139(constB25) | (~v200(constB25)))),
% 50.26/33.32 inference(quant_inst,[status(thm)],[])).
% 50.26/33.32 tff(31022,plain,
% 50.26/33.32 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB25) | v139(constB25) | (~v200(constB25))),
% 50.26/33.32 inference(modus_ponens,[status(thm)],[31021, 31020])).
% 50.26/33.32 tff(31023,plain,
% 50.26/33.32 (~v200(constB25)),
% 50.26/33.32 inference(unit_resolution,[status(thm)],[31022, 10610, 31019, 31015])).
% 50.26/33.32 tff(31024,plain,
% 50.26/33.32 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB25, bitIndex2)) | (~v141(constB25)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB25, bitIndex2)) | (~v141(constB25)))),
% 50.26/33.32 inference(rewrite,[status(thm)],[])).
% 50.26/33.32 tff(31025,plain,
% 50.26/33.32 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB25, bitIndex2)) | (~v141(constB25)))),
% 50.26/33.32 inference(quant_inst,[status(thm)],[])).
% 50.26/33.32 tff(31026,plain,
% 50.26/33.32 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB25, bitIndex2)) | (~v141(constB25))),
% 50.26/33.32 inference(modus_ponens,[status(thm)],[31025, 31024])).
% 50.26/33.32 tff(31027,plain,
% 50.26/33.32 (~v141(constB25)),
% 50.26/33.32 inference(unit_resolution,[status(thm)],[31026, 25200, 30966])).
% 50.26/33.32 tff(31028,plain,
% 50.26/33.32 (((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB25) | v200(constB25) | (~v166(constB25)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB25) | v200(constB25) | (~v166(constB25)))),
% 50.26/33.32 inference(rewrite,[status(thm)],[])).
% 50.26/33.32 tff(31029,plain,
% 50.26/33.32 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB25) | v200(constB25) | (~v166(constB25)))),
% 50.26/33.32 inference(quant_inst,[status(thm)],[])).
% 50.26/33.32 tff(31030,plain,
% 50.26/33.32 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB25) | v200(constB25) | (~v166(constB25))),
% 50.26/33.32 inference(modus_ponens,[status(thm)],[31029, 31028])).
% 50.26/33.32 tff(31031,plain,
% 50.26/33.32 (~v166(constB25)),
% 50.26/33.32 inference(unit_resolution,[status(thm)],[31030, 10638, 31027, 31023])).
% 50.26/33.32 tff(31032,plain,
% 50.26/33.32 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB25) | (~v197(constB25)) | v166(constB25))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB25) | (~v197(constB25)) | v166(constB25))),
% 50.26/33.32 inference(rewrite,[status(thm)],[])).
% 50.26/33.32 tff(31033,plain,
% 50.26/33.32 (((~v197(constB25)) | v166(constB25) | v241(constB25)) <=> (v241(constB25) | (~v197(constB25)) | v166(constB25))),
% 50.26/33.32 inference(rewrite,[status(thm)],[])).
% 50.26/33.32 tff(31034,plain,
% 50.26/33.32 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB25)) | v166(constB25) | v241(constB25))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB25) | (~v197(constB25)) | v166(constB25)))),
% 50.26/33.32 inference(monotonicity,[status(thm)],[31033])).
% 50.26/33.32 tff(31035,plain,
% 50.26/33.32 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB25)) | v166(constB25) | v241(constB25))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB25) | (~v197(constB25)) | v166(constB25))),
% 50.26/33.32 inference(transitivity,[status(thm)],[31034, 31032])).
% 50.26/33.32 tff(31036,plain,
% 50.26/33.32 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB25)) | v166(constB25) | v241(constB25))),
% 50.26/33.32 inference(quant_inst,[status(thm)],[])).
% 50.26/33.32 tff(31037,plain,
% 50.26/33.32 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB25) | (~v197(constB25)) | v166(constB25)),
% 50.26/33.32 inference(modus_ponens,[status(thm)],[31036, 31035])).
% 50.26/33.32 tff(31038,plain,
% 50.26/33.32 (v241(constB25) | (~v197(constB25))),
% 50.26/33.32 inference(unit_resolution,[status(thm)],[31037, 10277, 31031])).
% 50.26/33.32 tff(31039,plain,
% 50.26/33.32 (v241(constB25)),
% 50.26/33.32 inference(unit_resolution,[status(thm)],[31038, 30993])).
% 50.26/33.32 tff(31040,plain,
% 50.26/33.32 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB25)) | (~v223(constB25, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB25)) | (~v223(constB25, bitIndex2)))),
% 50.26/33.32 inference(rewrite,[status(thm)],[])).
% 50.26/33.32 tff(31041,plain,
% 50.26/33.32 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB25)) | (~v223(constB25, bitIndex2)))),
% 50.26/33.32 inference(quant_inst,[status(thm)],[])).
% 50.26/33.32 tff(31042,plain,
% 50.26/33.32 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB25)) | (~v223(constB25, bitIndex2))),
% 50.26/33.32 inference(modus_ponens,[status(thm)],[31041, 31040])).
% 50.26/33.32 tff(31043,plain,
% 50.26/33.32 (~v223(constB25, bitIndex2)),
% 50.26/33.32 inference(unit_resolution,[status(thm)],[31042, 10292, 31039])).
% 50.26/33.32 tff(31044,plain,
% 50.26/33.32 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB25)) | v223(constB25, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB25)) | v223(constB25, bitIndex2))),
% 50.26/33.32 inference(rewrite,[status(thm)],[])).
% 50.26/33.32 tff(31045,plain,
% 50.26/33.32 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB25)) | v223(constB25, bitIndex2))),
% 50.26/33.32 inference(quant_inst,[status(thm)],[])).
% 50.26/33.32 tff(31046,plain,
% 50.26/33.32 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB25)) | v223(constB25, bitIndex2)),
% 50.26/33.32 inference(modus_ponens,[status(thm)],[31045, 31044])).
% 50.26/33.32 tff(31047,plain,
% 50.26/33.32 (~v224(constB25)),
% 50.26/33.32 inference(unit_resolution,[status(thm)],[31046, 10343, 31043])).
% 50.26/33.32 tff(31048,plain,
% 50.26/33.32 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB25) | v224(constB25) | (~v236(constB25)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB25) | v224(constB25) | (~v236(constB25)))),
% 50.26/33.32 inference(rewrite,[status(thm)],[])).
% 50.26/33.32 tff(31049,plain,
% 50.26/33.32 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB25) | v224(constB25) | (~v236(constB25)))),
% 50.27/33.32 inference(quant_inst,[status(thm)],[])).
% 50.27/33.32 tff(31050,plain,
% 50.27/33.32 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB25) | v224(constB25) | (~v236(constB25))),
% 50.27/33.32 inference(modus_ponens,[status(thm)],[31049, 31048])).
% 50.27/33.32 tff(31051,plain,
% 50.27/33.32 (~v236(constB25)),
% 50.27/33.32 inference(unit_resolution,[status(thm)],[31050, 8968, 31047, 31011])).
% 50.27/33.32 tff(31052,plain,
% 50.27/33.32 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB25) | (~v232(constB25)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB25) | (~v232(constB25)))),
% 50.27/33.32 inference(rewrite,[status(thm)],[])).
% 50.27/33.32 tff(31053,plain,
% 50.27/33.32 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB25) | (~v232(constB25)))),
% 50.27/33.32 inference(quant_inst,[status(thm)],[])).
% 50.27/33.32 tff(31054,plain,
% 50.27/33.32 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB25) | (~v232(constB25))),
% 50.27/33.32 inference(modus_ponens,[status(thm)],[31053, 31052])).
% 50.27/33.32 tff(31055,plain,
% 50.27/33.32 (~v232(constB25)),
% 50.27/33.32 inference(unit_resolution,[status(thm)],[31054, 8980, 31051])).
% 50.27/33.32 tff(31056,plain,
% 50.27/33.32 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB25) | v139(constB25) | (~v148(constB25)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB25) | v139(constB25) | (~v148(constB25)))),
% 50.27/33.32 inference(rewrite,[status(thm)],[])).
% 50.27/33.32 tff(31057,plain,
% 50.27/33.32 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB25) | v139(constB25) | (~v148(constB25)))),
% 50.27/33.32 inference(quant_inst,[status(thm)],[])).
% 50.27/33.32 tff(31058,plain,
% 50.27/33.32 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB25) | v139(constB25) | (~v148(constB25))),
% 50.27/33.32 inference(modus_ponens,[status(thm)],[31057, 31056])).
% 50.27/33.32 tff(31059,plain,
% 50.27/33.32 (~v148(constB25)),
% 50.27/33.32 inference(unit_resolution,[status(thm)],[31058, 9016, 31019, 31015])).
% 50.27/33.32 tff(31060,plain,
% 50.27/33.32 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB25) | (~v197(constB25)) | v148(constB25))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB25) | (~v197(constB25)) | v148(constB25))),
% 50.27/33.32 inference(rewrite,[status(thm)],[])).
% 50.27/33.32 tff(31061,plain,
% 50.27/33.32 ((v148(constB25) | (~v197(constB25)) | v252(constB25)) <=> (v252(constB25) | (~v197(constB25)) | v148(constB25))),
% 50.27/33.32 inference(rewrite,[status(thm)],[])).
% 50.27/33.32 tff(31062,plain,
% 50.27/33.32 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB25) | (~v197(constB25)) | v252(constB25))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB25) | (~v197(constB25)) | v148(constB25)))),
% 50.27/33.32 inference(monotonicity,[status(thm)],[31061])).
% 50.27/33.32 tff(31063,plain,
% 50.27/33.32 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB25) | (~v197(constB25)) | v252(constB25))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB25) | (~v197(constB25)) | v148(constB25))),
% 50.27/33.32 inference(transitivity,[status(thm)],[31062, 31060])).
% 50.27/33.32 tff(31064,plain,
% 50.27/33.32 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB25) | (~v197(constB25)) | v252(constB25))),
% 50.27/33.32 inference(quant_inst,[status(thm)],[])).
% 50.27/33.32 tff(31065,plain,
% 50.27/33.32 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB25) | (~v197(constB25)) | v148(constB25)),
% 50.27/33.32 inference(modus_ponens,[status(thm)],[31064, 31063])).
% 50.27/33.32 tff(31066,plain,
% 50.27/33.32 (v252(constB25) | (~v197(constB25))),
% 50.27/33.32 inference(unit_resolution,[status(thm)],[31065, 9033, 31059])).
% 50.27/33.32 tff(31067,plain,
% 50.27/33.32 (v252(constB25)),
% 50.27/33.32 inference(unit_resolution,[status(thm)],[31066, 30993])).
% 50.27/33.32 tff(31068,plain,
% 50.27/33.32 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB25)) | (~v223(constB25, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB25)) | (~v223(constB25, bitIndex3)))),
% 50.27/33.32 inference(rewrite,[status(thm)],[])).
% 50.27/33.32 tff(31069,plain,
% 50.27/33.32 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB25)) | (~v223(constB25, bitIndex3)))),
% 50.27/33.32 inference(quant_inst,[status(thm)],[])).
% 50.27/33.32 tff(31070,plain,
% 50.27/33.32 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB25)) | (~v223(constB25, bitIndex3))),
% 50.27/33.32 inference(modus_ponens,[status(thm)],[31069, 31068])).
% 50.27/33.32 tff(31071,plain,
% 50.27/33.32 (~v223(constB25, bitIndex3)),
% 50.27/33.32 inference(unit_resolution,[status(thm)],[31070, 9048, 31067])).
% 50.27/33.32 tff(31072,plain,
% 50.27/33.32 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB25)) | v223(constB25, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB25)) | v223(constB25, bitIndex3))),
% 50.27/33.32 inference(rewrite,[status(thm)],[])).
% 50.27/33.32 tff(31073,plain,
% 50.27/33.32 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB25)) | v223(constB25, bitIndex3))),
% 50.27/33.32 inference(quant_inst,[status(thm)],[])).
% 50.27/33.32 tff(31074,plain,
% 50.27/33.32 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB25)) | v223(constB25, bitIndex3)),
% 50.27/33.32 inference(modus_ponens,[status(thm)],[31073, 31072])).
% 50.27/33.32 tff(31075,plain,
% 50.27/33.32 (~v237(constB25)),
% 50.27/33.32 inference(unit_resolution,[status(thm)],[31074, 9062, 31071])).
% 50.27/33.32 tff(31076,plain,
% 50.27/33.32 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB25) | (~v248(constB25)) | v232(constB25))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB25) | (~v248(constB25)) | v232(constB25))),
% 50.27/33.32 inference(rewrite,[status(thm)],[])).
% 50.27/33.32 tff(31077,plain,
% 50.27/33.32 ((v237(constB25) | v232(constB25) | (~v248(constB25))) <=> (v237(constB25) | (~v248(constB25)) | v232(constB25))),
% 50.27/33.32 inference(rewrite,[status(thm)],[])).
% 50.27/33.32 tff(31078,plain,
% 50.27/33.32 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB25) | v232(constB25) | (~v248(constB25)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB25) | (~v248(constB25)) | v232(constB25)))),
% 50.27/33.32 inference(monotonicity,[status(thm)],[31077])).
% 50.27/33.32 tff(31079,plain,
% 50.27/33.32 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB25) | v232(constB25) | (~v248(constB25)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB25) | (~v248(constB25)) | v232(constB25))),
% 50.27/33.32 inference(transitivity,[status(thm)],[31078, 31076])).
% 50.27/33.32 tff(31080,plain,
% 50.27/33.32 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB25) | v232(constB25) | (~v248(constB25)))),
% 50.27/33.32 inference(quant_inst,[status(thm)],[])).
% 50.27/33.32 tff(31081,plain,
% 50.27/33.32 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB25) | (~v248(constB25)) | v232(constB25)),
% 50.27/33.32 inference(modus_ponens,[status(thm)],[31080, 31079])).
% 50.27/33.32 tff(31082,plain,
% 50.27/33.32 ((~v248(constB25)) | v232(constB25)),
% 50.27/33.32 inference(unit_resolution,[status(thm)],[31081, 9076, 31075])).
% 50.27/33.32 tff(31083,plain,
% 50.27/33.32 (~v248(constB25)),
% 50.27/33.32 inference(unit_resolution,[status(thm)],[31082, 31055])).
% 50.27/33.32 tff(31084,plain,
% 50.27/33.32 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB25) | (~v244(constB25)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB25) | (~v244(constB25)))),
% 50.27/33.32 inference(rewrite,[status(thm)],[])).
% 50.27/33.32 tff(31085,plain,
% 50.27/33.32 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB25) | (~v244(constB25)))),
% 50.27/33.32 inference(quant_inst,[status(thm)],[])).
% 50.27/33.32 tff(31086,plain,
% 50.27/33.32 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB25) | (~v244(constB25))),
% 50.27/33.32 inference(modus_ponens,[status(thm)],[31085, 31084])).
% 50.27/33.32 tff(31087,plain,
% 50.27/33.32 (~v244(constB25)),
% 50.27/33.32 inference(unit_resolution,[status(thm)],[31086, 11335, 31083])).
% 50.27/33.32 tff(31088,plain,
% 50.27/33.32 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB25) | (~v216(constB25, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB25) | (~v216(constB25, bitIndex1)))),
% 50.27/33.32 inference(rewrite,[status(thm)],[])).
% 50.27/33.32 tff(31089,plain,
% 50.27/33.32 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB25) | (~v216(constB25, bitIndex1)))),
% 50.27/33.32 inference(quant_inst,[status(thm)],[])).
% 50.27/33.32 tff(31090,plain,
% 50.27/33.32 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB25) | (~v216(constB25, bitIndex1))),
% 50.27/33.32 inference(modus_ponens,[status(thm)],[31089, 31088])).
% 50.27/33.32 tff(31091,plain,
% 50.27/33.32 (~v216(constB25, bitIndex1)),
% 50.27/33.32 inference(unit_resolution,[status(thm)],[31090, 11346, 31087])).
% 50.27/33.32 tff(31092,plain,
% 50.27/33.32 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | ((~v254(constB25)) | v216(constB25, bitIndex1))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB25)) | v216(constB25, bitIndex1))),
% 50.27/33.32 inference(rewrite,[status(thm)],[])).
% 50.27/33.32 tff(31093,plain,
% 50.27/33.32 ((v216(constB25, bitIndex1) | (~v254(constB25))) <=> ((~v254(constB25)) | v216(constB25, bitIndex1))),
% 50.27/33.32 inference(rewrite,[status(thm)],[])).
% 50.27/33.32 tff(31094,plain,
% 50.27/33.32 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB25, bitIndex1) | (~v254(constB25)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | ((~v254(constB25)) | v216(constB25, bitIndex1)))),
% 50.27/33.32 inference(monotonicity,[status(thm)],[31093])).
% 50.27/33.32 tff(31095,plain,
% 50.27/33.32 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB25, bitIndex1) | (~v254(constB25)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB25)) | v216(constB25, bitIndex1))),
% 50.27/33.32 inference(transitivity,[status(thm)],[31094, 31092])).
% 50.27/33.32 tff(31096,plain,
% 50.27/33.32 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB25, bitIndex1) | (~v254(constB25)))),
% 50.27/33.32 inference(quant_inst,[status(thm)],[])).
% 50.27/33.32 tff(31097,plain,
% 50.27/33.32 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB25)) | v216(constB25, bitIndex1)),
% 50.27/33.32 inference(modus_ponens,[status(thm)],[31096, 31095])).
% 50.27/33.32 tff(31098,plain,
% 50.27/33.32 (~v254(constB25)),
% 50.27/33.32 inference(unit_resolution,[status(thm)],[31097, 11357, 31091])).
% 50.27/33.32 tff(31099,plain,
% 50.27/33.32 (((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB25) | (~v221(constB25)))) <=> ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB25) | (~v221(constB25)))),
% 50.27/33.32 inference(rewrite,[status(thm)],[])).
% 50.27/33.32 tff(31100,plain,
% 50.27/33.32 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB25) | (~v221(constB25)))),
% 50.27/33.32 inference(quant_inst,[status(thm)],[])).
% 50.27/33.32 tff(31101,plain,
% 50.27/33.32 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB25) | (~v221(constB25))),
% 50.27/33.32 inference(modus_ponens,[status(thm)],[31100, 31099])).
% 50.27/33.32 tff(31102,plain,
% 50.27/33.32 (~v221(constB25)),
% 50.27/33.32 inference(unit_resolution,[status(thm)],[31101, 11505, 31047])).
% 50.27/33.32 tff(31103,plain,
% 50.27/33.32 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB25) | (~v231(constB25)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB25) | (~v231(constB25)))),
% 50.27/33.32 inference(rewrite,[status(thm)],[])).
% 50.27/33.32 tff(31104,plain,
% 50.27/33.32 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB25) | (~v231(constB25)))),
% 50.27/33.32 inference(quant_inst,[status(thm)],[])).
% 50.27/33.32 tff(31105,plain,
% 50.27/33.32 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB25) | (~v231(constB25))),
% 50.27/33.32 inference(modus_ponens,[status(thm)],[31104, 31103])).
% 50.27/33.32 tff(31106,plain,
% 50.27/33.32 (~v231(constB25)),
% 50.27/33.32 inference(unit_resolution,[status(thm)],[31105, 11162, 31075])).
% 50.27/33.32 tff(31107,plain,
% 50.27/33.32 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB25) | v231(constB25) | (~v243(constB25)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB25) | v231(constB25) | (~v243(constB25)))),
% 50.27/33.32 inference(rewrite,[status(thm)],[])).
% 50.27/33.32 tff(31108,plain,
% 50.27/33.32 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB25) | v231(constB25) | (~v243(constB25)))),
% 50.27/33.32 inference(quant_inst,[status(thm)],[])).
% 50.27/33.32 tff(31109,plain,
% 50.27/33.32 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB25) | v231(constB25) | (~v243(constB25))),
% 50.27/33.32 inference(modus_ponens,[status(thm)],[31108, 31107])).
% 50.27/33.32 tff(31110,plain,
% 50.27/33.32 (~v243(constB25)),
% 50.27/33.32 inference(unit_resolution,[status(thm)],[31109, 11206, 31106, 31102])).
% 50.27/33.32 tff(31111,plain,
% 50.27/33.32 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB25) | v255(constB25))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB25) | v255(constB25))),
% 50.27/33.32 inference(rewrite,[status(thm)],[])).
% 50.27/33.32 tff(31112,plain,
% 50.27/33.32 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB25) | v255(constB25))),
% 50.27/33.32 inference(quant_inst,[status(thm)],[])).
% 50.27/33.32 tff(31113,plain,
% 50.27/33.32 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB25) | v255(constB25)),
% 50.27/33.32 inference(modus_ponens,[status(thm)],[31112, 31111])).
% 50.27/33.32 tff(31114,plain,
% 50.27/33.32 (v255(constB25)),
% 50.27/33.32 inference(unit_resolution,[status(thm)],[31113, 11222, 31110])).
% 50.27/33.32 tff(31115,plain,
% 50.27/33.32 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB25)) | (~v216(constB25, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB25)) | (~v216(constB25, bitIndex2)))),
% 50.27/33.32 inference(rewrite,[status(thm)],[])).
% 50.27/33.32 tff(31116,plain,
% 50.27/33.32 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB25)) | (~v216(constB25, bitIndex2)))),
% 50.27/33.32 inference(quant_inst,[status(thm)],[])).
% 50.27/33.32 tff(31117,plain,
% 50.27/33.32 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB25)) | (~v216(constB25, bitIndex2))),
% 50.27/33.32 inference(modus_ponens,[status(thm)],[31116, 31115])).
% 50.27/33.32 tff(31118,plain,
% 50.27/33.32 (~v216(constB25, bitIndex2)),
% 50.27/33.32 inference(unit_resolution,[status(thm)],[31117, 11237, 31114])).
% 50.27/33.32 tff(31119,plain,
% 50.27/33.32 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB25, bitIndex2) | (~v215(constB25)) | v254(constB25))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB25, bitIndex2) | (~v215(constB25)) | v254(constB25))),
% 50.27/33.32 inference(rewrite,[status(thm)],[])).
% 50.27/33.32 tff(31120,plain,
% 50.27/33.32 ((v216(constB25, bitIndex2) | v254(constB25) | (~v215(constB25))) <=> (v216(constB25, bitIndex2) | (~v215(constB25)) | v254(constB25))),
% 50.27/33.32 inference(rewrite,[status(thm)],[])).
% 50.27/33.32 tff(31121,plain,
% 50.27/33.32 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB25, bitIndex2) | v254(constB25) | (~v215(constB25)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB25, bitIndex2) | (~v215(constB25)) | v254(constB25)))),
% 50.27/33.32 inference(monotonicity,[status(thm)],[31120])).
% 50.27/33.32 tff(31122,plain,
% 50.27/33.32 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB25, bitIndex2) | v254(constB25) | (~v215(constB25)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB25, bitIndex2) | (~v215(constB25)) | v254(constB25))),
% 50.27/33.32 inference(transitivity,[status(thm)],[31121, 31119])).
% 50.27/33.32 tff(31123,plain,
% 50.27/33.32 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB25, bitIndex2) | v254(constB25) | (~v215(constB25)))),
% 50.27/33.32 inference(quant_inst,[status(thm)],[])).
% 50.27/33.32 tff(31124,plain,
% 50.27/33.32 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB25, bitIndex2) | (~v215(constB25)) | v254(constB25)),
% 50.27/33.32 inference(modus_ponens,[status(thm)],[31123, 31122])).
% 50.27/33.32 tff(31125,plain,
% 50.27/33.32 ((~v215(constB25)) | v254(constB25)),
% 50.27/33.32 inference(unit_resolution,[status(thm)],[31124, 11278, 31118])).
% 50.27/33.32 tff(31126,plain,
% 50.27/33.32 (~v215(constB25)),
% 50.27/33.32 inference(unit_resolution,[status(thm)],[31125, 31098])).
% 50.27/33.32 tff(31127,plain,
% 50.27/33.32 ($false),
% 50.27/33.32 inference(unit_resolution,[status(thm)],[31126, 30958])).
% 50.27/33.32 tff(31128,plain,(~(constB25 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.27/33.32 tff(31129,assumption,(constB95 = sK0_VarCurr), introduced(assumption)).
% 50.27/33.32 tff(31130,plain,
% 50.27/33.32 (v215(constB95) <=> v215(sK0_VarCurr)),
% 50.27/33.32 inference(monotonicity,[status(thm)],[31129])).
% 50.27/33.32 tff(31131,plain,
% 50.27/33.32 (v215(sK0_VarCurr) <=> v215(constB95)),
% 50.27/33.32 inference(symmetry,[status(thm)],[31130])).
% 50.27/33.32 tff(31132,plain,
% 50.27/33.32 (v215(constB95)),
% 50.27/33.32 inference(modus_ponens,[status(thm)],[11268, 31131])).
% 50.27/33.32 tff(31133,plain,
% 50.27/33.32 (((~![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))),
% 50.27/33.32 inference(rewrite,[status(thm)],[])).
% 50.27/33.32 tff(31134,plain,
% 50.27/33.32 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB95, bitIndex1)) | v88(constB95, bitIndex1))),
% 50.27/33.32 inference(quant_inst,[status(thm)],[])).
% 50.27/33.32 tff(31135,plain,
% 50.27/33.32 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB95, bitIndex1)) | v88(constB95, bitIndex1)),
% 50.27/33.32 inference(modus_ponens,[status(thm)],[31134, 31133])).
% 50.27/33.32 tff(31136,plain,
% 50.27/33.32 (v88(constB95, bitIndex1)),
% 50.27/33.32 inference(unit_resolution,[status(thm)],[31135, 8707, 14294])).
% 50.27/33.32 tff(31137,plain,
% 50.27/33.32 (((~![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))),
% 50.27/33.32 inference(rewrite,[status(thm)],[])).
% 50.27/33.32 tff(31138,plain,
% 50.27/33.32 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB95, bitIndex2)) | v88(constB95, bitIndex2))),
% 50.27/33.32 inference(quant_inst,[status(thm)],[])).
% 50.27/33.32 tff(31139,plain,
% 50.27/33.32 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB95, bitIndex2)) | v88(constB95, bitIndex2)),
% 50.27/33.32 inference(modus_ponens,[status(thm)],[31138, 31137])).
% 50.27/33.32 tff(31140,plain,
% 50.27/33.32 (v88(constB95, bitIndex2)),
% 50.27/33.32 inference(unit_resolution,[status(thm)],[31139, 25107, 14325])).
% 50.27/33.32 tff(31141,plain,
% 50.27/33.32 (((~![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)))),
% 50.27/33.32 inference(rewrite,[status(thm)],[])).
% 50.27/33.32 tff(31142,plain,
% 50.27/33.32 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB95, bitIndex0) | (~v88(constB95, bitIndex0)))),
% 50.27/33.32 inference(quant_inst,[status(thm)],[])).
% 50.27/33.32 tff(31143,plain,
% 50.27/33.32 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB95, bitIndex0) | (~v88(constB95, bitIndex0))),
% 50.27/33.32 inference(modus_ponens,[status(thm)],[31142, 31141])).
% 50.27/33.32 tff(31144,plain,
% 50.27/33.32 (~v88(constB95, bitIndex0)),
% 50.27/33.32 inference(unit_resolution,[status(thm)],[31143, 10505, 14398])).
% 50.27/33.32 tff(31145,plain,
% 50.27/33.32 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB95, bitIndex0) | (~v88(constB95, bitIndex2)) | (~v88(constB95, bitIndex1)) | v144(constB95))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB95, bitIndex0) | (~v88(constB95, bitIndex2)) | (~v88(constB95, bitIndex1)) | v144(constB95))),
% 50.27/33.32 inference(rewrite,[status(thm)],[])).
% 50.27/33.32 tff(31146,plain,
% 50.27/33.32 (((~v88(constB95, bitIndex2)) | (~v88(constB95, bitIndex1)) | v88(constB95, bitIndex0) | v144(constB95)) <=> (v88(constB95, bitIndex0) | (~v88(constB95, bitIndex2)) | (~v88(constB95, bitIndex1)) | v144(constB95))),
% 50.27/33.32 inference(rewrite,[status(thm)],[])).
% 50.27/33.32 tff(31147,plain,
% 50.27/33.32 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB95, bitIndex2)) | (~v88(constB95, bitIndex1)) | v88(constB95, bitIndex0) | v144(constB95))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB95, bitIndex0) | (~v88(constB95, bitIndex2)) | (~v88(constB95, bitIndex1)) | v144(constB95)))),
% 50.27/33.33 inference(monotonicity,[status(thm)],[31146])).
% 50.27/33.33 tff(31148,plain,
% 50.27/33.33 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB95, bitIndex2)) | (~v88(constB95, bitIndex1)) | v88(constB95, bitIndex0) | v144(constB95))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB95, bitIndex0) | (~v88(constB95, bitIndex2)) | (~v88(constB95, bitIndex1)) | v144(constB95))),
% 50.27/33.33 inference(transitivity,[status(thm)],[31147, 31145])).
% 50.27/33.33 tff(31149,plain,
% 50.27/33.33 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB95, bitIndex2)) | (~v88(constB95, bitIndex1)) | v88(constB95, bitIndex0) | v144(constB95))),
% 50.27/33.33 inference(quant_inst,[status(thm)],[])).
% 50.27/33.33 tff(31150,plain,
% 50.27/33.33 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB95, bitIndex0) | (~v88(constB95, bitIndex2)) | (~v88(constB95, bitIndex1)) | v144(constB95)),
% 50.27/33.33 inference(modus_ponens,[status(thm)],[31149, 31148])).
% 50.27/33.33 tff(31151,plain,
% 50.27/33.33 ((~v88(constB95, bitIndex2)) | (~v88(constB95, bitIndex1)) | v144(constB95)),
% 50.27/33.33 inference(unit_resolution,[status(thm)],[31150, 25122, 31144])).
% 50.27/33.33 tff(31152,plain,
% 50.27/33.33 (v144(constB95)),
% 50.27/33.33 inference(unit_resolution,[status(thm)],[31151, 31140, 31136])).
% 50.27/33.33 tff(31153,plain,
% 50.27/33.33 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB95) | (~v144(constB95)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB95) | (~v144(constB95)))),
% 50.27/33.33 inference(rewrite,[status(thm)],[])).
% 50.27/33.33 tff(31154,plain,
% 50.27/33.33 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB95) | (~v144(constB95)))),
% 50.27/33.33 inference(quant_inst,[status(thm)],[])).
% 50.27/33.33 tff(31155,plain,
% 50.27/33.33 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB95) | (~v144(constB95))),
% 50.27/33.33 inference(modus_ponens,[status(thm)],[31154, 31153])).
% 50.27/33.33 tff(31156,plain,
% 50.27/33.33 (v142(constB95)),
% 50.27/33.33 inference(unit_resolution,[status(thm)],[31155, 25139, 31152])).
% 50.27/33.33 tff(31157,plain,
% 50.27/33.33 (((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB95) | (~v142(constB95)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB95) | (~v142(constB95)))),
% 50.27/33.33 inference(rewrite,[status(thm)],[])).
% 50.27/33.33 tff(31158,plain,
% 50.27/33.33 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB95) | (~v142(constB95)))),
% 50.27/33.33 inference(quant_inst,[status(thm)],[])).
% 50.27/33.33 tff(31159,plain,
% 50.27/33.33 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB95) | (~v142(constB95))),
% 50.27/33.33 inference(modus_ponens,[status(thm)],[31158, 31157])).
% 50.27/33.33 tff(31160,plain,
% 50.27/33.33 (v198(constB95)),
% 50.27/33.33 inference(unit_resolution,[status(thm)],[31159, 10548, 31156])).
% 50.27/33.33 tff(31161,plain,
% 50.27/33.33 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB95)) | (~v201(constB95)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB95)) | (~v201(constB95)))),
% 50.27/33.33 inference(rewrite,[status(thm)],[])).
% 50.27/33.33 tff(31162,plain,
% 50.27/33.33 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB95)) | (~v201(constB95)))),
% 50.27/33.33 inference(quant_inst,[status(thm)],[])).
% 50.27/33.33 tff(31163,plain,
% 50.27/33.33 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB95)) | (~v201(constB95))),
% 50.27/33.33 inference(modus_ponens,[status(thm)],[31162, 31161])).
% 50.27/33.33 tff(31164,plain,
% 50.27/33.33 (~v201(constB95)),
% 50.27/33.33 inference(unit_resolution,[status(thm)],[31163, 8823, 31160])).
% 50.27/33.33 tff(31165,plain,
% 50.27/33.33 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB95) | (~v198(constB95)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB95) | (~v198(constB95)))),
% 50.27/33.33 inference(rewrite,[status(thm)],[])).
% 50.27/33.33 tff(31166,plain,
% 50.27/33.33 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB95) | (~v198(constB95)))),
% 50.27/33.33 inference(quant_inst,[status(thm)],[])).
% 50.27/33.33 tff(31167,plain,
% 50.27/33.33 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB95) | (~v198(constB95))),
% 50.27/33.33 inference(modus_ponens,[status(thm)],[31166, 31165])).
% 50.27/33.33 tff(31168,plain,
% 50.27/33.33 (v197(constB95)),
% 50.27/33.33 inference(unit_resolution,[status(thm)],[31167, 8834, 31160])).
% 50.27/33.33 tff(31169,plain,
% 50.27/33.33 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB95) | v201(constB95) | (~v197(constB95)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB95) | v201(constB95) | (~v197(constB95)))),
% 50.27/33.33 inference(rewrite,[status(thm)],[])).
% 50.27/33.33 tff(31170,plain,
% 50.27/33.33 (((~v197(constB95)) | v201(constB95) | v227(constB95)) <=> (v227(constB95) | v201(constB95) | (~v197(constB95)))),
% 50.27/33.33 inference(rewrite,[status(thm)],[])).
% 50.27/33.33 tff(31171,plain,
% 50.27/33.33 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB95)) | v201(constB95) | v227(constB95))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB95) | v201(constB95) | (~v197(constB95))))),
% 50.27/33.33 inference(monotonicity,[status(thm)],[31170])).
% 50.27/33.33 tff(31172,plain,
% 50.27/33.33 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB95)) | v201(constB95) | v227(constB95))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB95) | v201(constB95) | (~v197(constB95)))),
% 50.27/33.33 inference(transitivity,[status(thm)],[31171, 31169])).
% 50.27/33.33 tff(31173,plain,
% 50.27/33.33 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB95)) | v201(constB95) | v227(constB95))),
% 50.27/33.33 inference(quant_inst,[status(thm)],[])).
% 50.27/33.33 tff(31174,plain,
% 50.27/33.33 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB95) | v201(constB95) | (~v197(constB95))),
% 50.27/33.33 inference(modus_ponens,[status(thm)],[31173, 31172])).
% 50.27/33.33 tff(31175,plain,
% 50.27/33.33 (v227(constB95)),
% 50.27/33.33 inference(unit_resolution,[status(thm)],[31174, 8848, 31168, 31164])).
% 50.27/33.33 tff(31176,plain,
% 50.27/33.33 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB95)) | (~v223(constB95, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB95)) | (~v223(constB95, bitIndex0)))),
% 50.27/33.33 inference(rewrite,[status(thm)],[])).
% 50.27/33.33 tff(31177,plain,
% 50.27/33.33 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB95)) | (~v223(constB95, bitIndex0)))),
% 50.27/33.33 inference(quant_inst,[status(thm)],[])).
% 50.27/33.33 tff(31178,plain,
% 50.27/33.33 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB95)) | (~v223(constB95, bitIndex0))),
% 50.27/33.33 inference(modus_ponens,[status(thm)],[31177, 31176])).
% 50.27/33.33 tff(31179,plain,
% 50.27/33.33 (~v223(constB95, bitIndex0)),
% 50.27/33.33 inference(unit_resolution,[status(thm)],[31178, 8862, 31175])).
% 50.27/33.33 tff(31180,plain,
% 50.27/33.33 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB95, bitIndex0) | (~v222(constB95)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | v223(constB95, bitIndex0) | (~v222(constB95)))),
% 50.27/33.33 inference(rewrite,[status(thm)],[])).
% 50.27/33.33 tff(31181,plain,
% 50.27/33.33 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB95, bitIndex0) | (~v222(constB95)))),
% 50.27/33.33 inference(quant_inst,[status(thm)],[])).
% 50.27/33.33 tff(31182,plain,
% 50.27/33.33 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | v223(constB95, bitIndex0) | (~v222(constB95))),
% 50.27/33.33 inference(modus_ponens,[status(thm)],[31181, 31180])).
% 50.27/33.33 tff(31183,plain,
% 50.27/33.33 (~v222(constB95)),
% 50.27/33.33 inference(unit_resolution,[status(thm)],[31182, 10578, 31179])).
% 50.27/33.33 tff(31184,plain,
% 50.27/33.33 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB95, bitIndex1)) | (~v139(constB95)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB95, bitIndex1)) | (~v139(constB95)))),
% 50.27/33.33 inference(rewrite,[status(thm)],[])).
% 50.27/33.33 tff(31185,plain,
% 50.27/33.33 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB95, bitIndex1)) | (~v139(constB95)))),
% 50.27/33.33 inference(quant_inst,[status(thm)],[])).
% 50.27/33.33 tff(31186,plain,
% 50.27/33.33 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB95, bitIndex1)) | (~v139(constB95))),
% 50.27/33.33 inference(modus_ponens,[status(thm)],[31185, 31184])).
% 50.27/33.33 tff(31187,plain,
% 50.27/33.33 (~v139(constB95)),
% 50.27/33.33 inference(unit_resolution,[status(thm)],[31186, 10589, 31136])).
% 50.27/33.33 tff(31188,plain,
% 50.27/33.33 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))) | (v88(constB95, bitIndex0) | (~v140(constB95)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))) | v88(constB95, bitIndex0) | (~v140(constB95)))),
% 50.27/33.33 inference(rewrite,[status(thm)],[])).
% 50.27/33.33 tff(31189,plain,
% 50.27/33.33 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))) | (v88(constB95, bitIndex0) | (~v140(constB95)))),
% 50.27/33.33 inference(quant_inst,[status(thm)],[])).
% 50.27/33.33 tff(31190,plain,
% 50.27/33.33 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v140(VarCurr)))) | v88(constB95, bitIndex0) | (~v140(constB95))),
% 50.27/33.33 inference(modus_ponens,[status(thm)],[31189, 31188])).
% 50.27/33.33 tff(31191,plain,
% 50.27/33.33 (~v140(constB95)),
% 50.27/33.33 inference(unit_resolution,[status(thm)],[31190, 29482, 31144])).
% 50.27/33.33 tff(31192,plain,
% 50.27/33.33 (((~![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)))),
% 50.27/33.33 inference(rewrite,[status(thm)],[])).
% 50.27/33.33 tff(31193,plain,
% 50.27/33.33 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB95) | v139(constB95) | (~v200(constB95)))),
% 50.27/33.33 inference(quant_inst,[status(thm)],[])).
% 50.27/33.33 tff(31194,plain,
% 50.27/33.33 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB95) | v139(constB95) | (~v200(constB95))),
% 50.27/33.33 inference(modus_ponens,[status(thm)],[31193, 31192])).
% 50.27/33.33 tff(31195,plain,
% 50.27/33.33 (v139(constB95) | (~v200(constB95))),
% 50.27/33.33 inference(unit_resolution,[status(thm)],[31194, 10610, 31191])).
% 50.27/33.33 tff(31196,plain,
% 50.27/33.33 (~v200(constB95)),
% 50.27/33.33 inference(unit_resolution,[status(thm)],[31195, 31187])).
% 50.27/33.33 tff(31197,plain,
% 50.27/33.33 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB95, bitIndex0) | (~v141(constB95)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB95, bitIndex0) | (~v141(constB95)))),
% 50.27/33.33 inference(rewrite,[status(thm)],[])).
% 50.27/33.33 tff(31198,plain,
% 50.27/33.33 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB95, bitIndex0) | (~v141(constB95)))),
% 50.27/33.33 inference(quant_inst,[status(thm)],[])).
% 50.27/33.33 tff(31199,plain,
% 50.27/33.33 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB95, bitIndex0) | (~v141(constB95))),
% 50.27/33.33 inference(modus_ponens,[status(thm)],[31198, 31197])).
% 50.27/33.33 tff(31200,plain,
% 50.27/33.33 (~v141(constB95)),
% 50.27/33.33 inference(unit_resolution,[status(thm)],[31199, 10624, 31144])).
% 50.27/33.33 tff(31201,plain,
% 50.27/33.33 (((~![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)))),
% 50.27/33.33 inference(rewrite,[status(thm)],[])).
% 50.27/33.33 tff(31202,plain,
% 50.27/33.33 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB95) | v200(constB95) | (~v166(constB95)))),
% 50.27/33.33 inference(quant_inst,[status(thm)],[])).
% 50.27/33.33 tff(31203,plain,
% 50.27/33.33 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB95) | v200(constB95) | (~v166(constB95))),
% 50.27/33.33 inference(modus_ponens,[status(thm)],[31202, 31201])).
% 50.27/33.33 tff(31204,plain,
% 50.27/33.33 (v200(constB95) | (~v166(constB95))),
% 50.27/33.33 inference(unit_resolution,[status(thm)],[31203, 10638, 31200])).
% 50.27/33.33 tff(31205,plain,
% 50.27/33.33 (~v166(constB95)),
% 50.27/33.33 inference(unit_resolution,[status(thm)],[31204, 31196])).
% 50.27/33.33 tff(31206,plain,
% 50.27/33.33 (((~![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)))),
% 50.27/33.33 inference(rewrite,[status(thm)],[])).
% 50.27/33.33 tff(31207,plain,
% 50.27/33.33 (((~v197(constB95)) | v166(constB95) | v241(constB95)) <=> (v241(constB95) | v166(constB95) | (~v197(constB95)))),
% 50.27/33.33 inference(rewrite,[status(thm)],[])).
% 50.27/33.33 tff(31208,plain,
% 50.27/33.33 (((~![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))))),
% 50.27/33.33 inference(monotonicity,[status(thm)],[31207])).
% 50.27/33.33 tff(31209,plain,
% 50.27/33.33 (((~![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)))),
% 50.27/33.33 inference(transitivity,[status(thm)],[31208, 31206])).
% 50.27/33.33 tff(31210,plain,
% 50.27/33.33 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB95)) | v166(constB95) | v241(constB95))),
% 50.27/33.33 inference(quant_inst,[status(thm)],[])).
% 50.27/33.33 tff(31211,plain,
% 50.27/33.33 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB95) | v166(constB95) | (~v197(constB95))),
% 50.27/33.33 inference(modus_ponens,[status(thm)],[31210, 31209])).
% 50.27/33.33 tff(31212,plain,
% 50.27/33.33 (v241(constB95) | (~v197(constB95))),
% 50.27/33.33 inference(unit_resolution,[status(thm)],[31211, 10277, 31205])).
% 50.27/33.33 tff(31213,plain,
% 50.27/33.33 (v241(constB95)),
% 50.27/33.33 inference(unit_resolution,[status(thm)],[31212, 31168])).
% 50.27/33.33 tff(31214,plain,
% 50.27/33.33 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB95)) | (~v223(constB95, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB95)) | (~v223(constB95, bitIndex2)))),
% 50.27/33.33 inference(rewrite,[status(thm)],[])).
% 50.27/33.33 tff(31215,plain,
% 50.27/33.33 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB95)) | (~v223(constB95, bitIndex2)))),
% 50.27/33.33 inference(quant_inst,[status(thm)],[])).
% 50.27/33.33 tff(31216,plain,
% 50.27/33.33 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB95)) | (~v223(constB95, bitIndex2))),
% 50.27/33.33 inference(modus_ponens,[status(thm)],[31215, 31214])).
% 50.27/33.33 tff(31217,plain,
% 50.27/33.33 (~v223(constB95, bitIndex2)),
% 50.27/33.33 inference(unit_resolution,[status(thm)],[31216, 10292, 31213])).
% 50.27/33.33 tff(31218,plain,
% 50.27/33.33 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB95)) | v223(constB95, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB95)) | v223(constB95, bitIndex2))),
% 50.27/33.33 inference(rewrite,[status(thm)],[])).
% 50.27/33.33 tff(31219,plain,
% 50.27/33.33 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB95)) | v223(constB95, bitIndex2))),
% 50.27/33.33 inference(quant_inst,[status(thm)],[])).
% 50.27/33.33 tff(31220,plain,
% 50.27/33.33 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB95)) | v223(constB95, bitIndex2)),
% 50.27/33.33 inference(modus_ponens,[status(thm)],[31219, 31218])).
% 50.27/33.33 tff(31221,plain,
% 50.27/33.33 (~v224(constB95)),
% 50.27/33.33 inference(unit_resolution,[status(thm)],[31220, 10343, 31217])).
% 50.27/33.33 tff(31222,plain,
% 50.27/33.33 (((~![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)))),
% 50.27/33.33 inference(rewrite,[status(thm)],[])).
% 50.27/33.33 tff(31223,plain,
% 50.27/33.33 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB95) | v224(constB95) | (~v236(constB95)))),
% 50.27/33.33 inference(quant_inst,[status(thm)],[])).
% 50.27/33.33 tff(31224,plain,
% 50.27/33.33 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB95) | v224(constB95) | (~v236(constB95))),
% 50.27/33.33 inference(modus_ponens,[status(thm)],[31223, 31222])).
% 50.27/33.33 tff(31225,plain,
% 50.27/33.33 (~v236(constB95)),
% 50.27/33.33 inference(unit_resolution,[status(thm)],[31224, 8968, 31221, 31183])).
% 50.27/33.33 tff(31226,plain,
% 50.27/33.33 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB95) | (~v232(constB95)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB95) | (~v232(constB95)))),
% 50.27/33.33 inference(rewrite,[status(thm)],[])).
% 50.27/33.33 tff(31227,plain,
% 50.27/33.33 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB95) | (~v232(constB95)))),
% 50.27/33.33 inference(quant_inst,[status(thm)],[])).
% 50.27/33.33 tff(31228,plain,
% 50.27/33.33 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB95) | (~v232(constB95))),
% 50.27/33.33 inference(modus_ponens,[status(thm)],[31227, 31226])).
% 50.27/33.33 tff(31229,plain,
% 50.27/33.33 (~v232(constB95)),
% 50.27/33.33 inference(unit_resolution,[status(thm)],[31228, 8980, 31225])).
% 50.27/33.33 tff(31230,plain,
% 50.27/33.33 (((~![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)))),
% 50.27/33.33 inference(rewrite,[status(thm)],[])).
% 50.27/33.33 tff(31231,plain,
% 50.27/33.33 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB95) | v139(constB95) | (~v148(constB95)))),
% 50.27/33.33 inference(quant_inst,[status(thm)],[])).
% 50.27/33.33 tff(31232,plain,
% 50.27/33.33 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB95) | v139(constB95) | (~v148(constB95))),
% 50.27/33.33 inference(modus_ponens,[status(thm)],[31231, 31230])).
% 50.27/33.33 tff(31233,plain,
% 50.27/33.33 (v139(constB95) | (~v148(constB95))),
% 50.27/33.33 inference(unit_resolution,[status(thm)],[31232, 9016, 31191])).
% 50.27/33.33 tff(31234,plain,
% 50.27/33.33 (~v148(constB95)),
% 50.27/33.33 inference(unit_resolution,[status(thm)],[31233, 31187])).
% 50.27/33.33 tff(31235,plain,
% 50.27/33.33 (((~![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)))),
% 50.27/33.33 inference(rewrite,[status(thm)],[])).
% 50.27/33.33 tff(31236,plain,
% 50.27/33.33 ((v148(constB95) | (~v197(constB95)) | v252(constB95)) <=> (v252(constB95) | v148(constB95) | (~v197(constB95)))),
% 50.27/33.33 inference(rewrite,[status(thm)],[])).
% 50.27/33.33 tff(31237,plain,
% 50.27/33.33 (((~![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))))),
% 50.27/33.33 inference(monotonicity,[status(thm)],[31236])).
% 50.27/33.33 tff(31238,plain,
% 50.27/33.33 (((~![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)))),
% 50.27/33.33 inference(transitivity,[status(thm)],[31237, 31235])).
% 50.27/33.33 tff(31239,plain,
% 50.27/33.33 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB95) | (~v197(constB95)) | v252(constB95))),
% 50.27/33.33 inference(quant_inst,[status(thm)],[])).
% 50.27/33.33 tff(31240,plain,
% 50.27/33.33 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB95) | v148(constB95) | (~v197(constB95))),
% 50.27/33.33 inference(modus_ponens,[status(thm)],[31239, 31238])).
% 50.27/33.33 tff(31241,plain,
% 50.27/33.33 (v252(constB95) | (~v197(constB95))),
% 50.27/33.33 inference(unit_resolution,[status(thm)],[31240, 9033, 31234])).
% 50.27/33.33 tff(31242,plain,
% 50.27/33.33 (v252(constB95)),
% 50.27/33.33 inference(unit_resolution,[status(thm)],[31241, 31168])).
% 50.27/33.33 tff(31243,plain,
% 50.27/33.33 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB95)) | (~v223(constB95, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB95)) | (~v223(constB95, bitIndex3)))),
% 50.27/33.33 inference(rewrite,[status(thm)],[])).
% 50.27/33.33 tff(31244,plain,
% 50.27/33.33 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB95)) | (~v223(constB95, bitIndex3)))),
% 50.27/33.33 inference(quant_inst,[status(thm)],[])).
% 50.27/33.33 tff(31245,plain,
% 50.27/33.33 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB95)) | (~v223(constB95, bitIndex3))),
% 50.27/33.33 inference(modus_ponens,[status(thm)],[31244, 31243])).
% 50.27/33.33 tff(31246,plain,
% 50.27/33.33 (~v223(constB95, bitIndex3)),
% 50.27/33.33 inference(unit_resolution,[status(thm)],[31245, 9048, 31242])).
% 50.27/33.33 tff(31247,plain,
% 50.27/33.33 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB95)) | v223(constB95, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB95)) | v223(constB95, bitIndex3))),
% 50.27/33.33 inference(rewrite,[status(thm)],[])).
% 50.27/33.33 tff(31248,plain,
% 50.27/33.33 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB95)) | v223(constB95, bitIndex3))),
% 50.27/33.33 inference(quant_inst,[status(thm)],[])).
% 50.27/33.33 tff(31249,plain,
% 50.27/33.33 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB95)) | v223(constB95, bitIndex3)),
% 50.27/33.33 inference(modus_ponens,[status(thm)],[31248, 31247])).
% 50.27/33.33 tff(31250,plain,
% 50.27/33.33 (~v237(constB95)),
% 50.27/33.33 inference(unit_resolution,[status(thm)],[31249, 9062, 31246])).
% 50.27/33.33 tff(31251,plain,
% 50.27/33.33 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | ((~v248(constB95)) | v232(constB95) | v237(constB95))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (~v248(constB95)) | v232(constB95) | v237(constB95))),
% 50.27/33.33 inference(rewrite,[status(thm)],[])).
% 50.27/33.33 tff(31252,plain,
% 50.27/33.33 ((v237(constB95) | v232(constB95) | (~v248(constB95))) <=> ((~v248(constB95)) | v232(constB95) | v237(constB95))),
% 50.27/33.33 inference(rewrite,[status(thm)],[])).
% 50.27/33.33 tff(31253,plain,
% 50.27/33.33 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB95) | v232(constB95) | (~v248(constB95)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | ((~v248(constB95)) | v232(constB95) | v237(constB95)))),
% 50.27/33.33 inference(monotonicity,[status(thm)],[31252])).
% 50.27/33.33 tff(31254,plain,
% 50.27/33.33 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB95) | v232(constB95) | (~v248(constB95)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (~v248(constB95)) | v232(constB95) | v237(constB95))),
% 50.27/33.33 inference(transitivity,[status(thm)],[31253, 31251])).
% 50.27/33.33 tff(31255,plain,
% 50.27/33.33 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB95) | v232(constB95) | (~v248(constB95)))),
% 50.27/33.33 inference(quant_inst,[status(thm)],[])).
% 50.27/33.33 tff(31256,plain,
% 50.27/33.33 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (~v248(constB95)) | v232(constB95) | v237(constB95)),
% 50.27/33.33 inference(modus_ponens,[status(thm)],[31255, 31254])).
% 50.27/33.33 tff(31257,plain,
% 50.27/33.33 ((~v248(constB95)) | v232(constB95)),
% 50.27/33.33 inference(unit_resolution,[status(thm)],[31256, 9076, 31250])).
% 50.27/33.33 tff(31258,plain,
% 50.27/33.33 (~v248(constB95)),
% 50.27/33.33 inference(unit_resolution,[status(thm)],[31257, 31229])).
% 50.27/33.33 tff(31259,plain,
% 50.27/33.33 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB95) | (~v244(constB95)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB95) | (~v244(constB95)))),
% 50.27/33.33 inference(rewrite,[status(thm)],[])).
% 50.27/33.33 tff(31260,plain,
% 50.27/33.33 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB95) | (~v244(constB95)))),
% 50.27/33.33 inference(quant_inst,[status(thm)],[])).
% 50.27/33.33 tff(31261,plain,
% 50.27/33.33 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB95) | (~v244(constB95))),
% 50.27/33.33 inference(modus_ponens,[status(thm)],[31260, 31259])).
% 50.27/33.33 tff(31262,plain,
% 50.27/33.33 (~v244(constB95)),
% 50.27/33.33 inference(unit_resolution,[status(thm)],[31261, 11335, 31258])).
% 50.27/33.33 tff(31263,plain,
% 50.27/33.33 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB95) | (~v216(constB95, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB95) | (~v216(constB95, bitIndex1)))),
% 50.27/33.33 inference(rewrite,[status(thm)],[])).
% 50.27/33.33 tff(31264,plain,
% 50.27/33.33 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB95) | (~v216(constB95, bitIndex1)))),
% 50.27/33.33 inference(quant_inst,[status(thm)],[])).
% 50.27/33.33 tff(31265,plain,
% 50.27/33.33 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB95) | (~v216(constB95, bitIndex1))),
% 50.27/33.33 inference(modus_ponens,[status(thm)],[31264, 31263])).
% 50.27/33.33 tff(31266,plain,
% 50.27/33.33 (~v216(constB95, bitIndex1)),
% 50.27/33.33 inference(unit_resolution,[status(thm)],[31265, 11346, 31262])).
% 50.27/33.33 tff(31267,plain,
% 50.27/33.33 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB95, bitIndex1) | (~v254(constB95)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB95, bitIndex1) | (~v254(constB95)))),
% 50.27/33.33 inference(rewrite,[status(thm)],[])).
% 50.27/33.33 tff(31268,plain,
% 50.27/33.33 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB95, bitIndex1) | (~v254(constB95)))),
% 50.27/33.33 inference(quant_inst,[status(thm)],[])).
% 50.27/33.33 tff(31269,plain,
% 50.27/33.33 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB95, bitIndex1) | (~v254(constB95))),
% 50.27/33.33 inference(modus_ponens,[status(thm)],[31268, 31267])).
% 50.27/33.33 tff(31270,plain,
% 50.27/33.33 (~v254(constB95)),
% 50.27/33.33 inference(unit_resolution,[status(thm)],[31269, 11357, 31266])).
% 50.27/33.33 tff(31271,plain,
% 50.27/33.33 (((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB95) | (~v221(constB95)))) <=> ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB95) | (~v221(constB95)))),
% 50.27/33.33 inference(rewrite,[status(thm)],[])).
% 50.27/33.33 tff(31272,plain,
% 50.27/33.33 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB95) | (~v221(constB95)))),
% 50.27/33.33 inference(quant_inst,[status(thm)],[])).
% 50.27/33.33 tff(31273,plain,
% 50.27/33.33 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB95) | (~v221(constB95))),
% 50.27/33.33 inference(modus_ponens,[status(thm)],[31272, 31271])).
% 50.27/33.33 tff(31274,plain,
% 50.27/33.33 (~v221(constB95)),
% 50.27/33.33 inference(unit_resolution,[status(thm)],[31273, 11505, 31221])).
% 50.27/33.33 tff(31275,plain,
% 50.27/33.33 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB95) | (~v231(constB95)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB95) | (~v231(constB95)))),
% 50.27/33.33 inference(rewrite,[status(thm)],[])).
% 50.27/33.33 tff(31276,plain,
% 50.27/33.33 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB95) | (~v231(constB95)))),
% 50.27/33.33 inference(quant_inst,[status(thm)],[])).
% 50.27/33.33 tff(31277,plain,
% 50.27/33.33 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB95) | (~v231(constB95))),
% 50.27/33.33 inference(modus_ponens,[status(thm)],[31276, 31275])).
% 50.27/33.33 tff(31278,plain,
% 50.27/33.33 (~v231(constB95)),
% 50.27/33.33 inference(unit_resolution,[status(thm)],[31277, 11162, 31250])).
% 50.27/33.33 tff(31279,plain,
% 50.27/33.33 (((~![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)))),
% 50.27/33.33 inference(rewrite,[status(thm)],[])).
% 50.27/33.33 tff(31280,plain,
% 50.27/33.33 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB95) | v231(constB95) | (~v243(constB95)))),
% 50.27/33.33 inference(quant_inst,[status(thm)],[])).
% 50.27/33.33 tff(31281,plain,
% 50.27/33.33 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB95) | v231(constB95) | (~v243(constB95))),
% 50.27/33.33 inference(modus_ponens,[status(thm)],[31280, 31279])).
% 50.27/33.33 tff(31282,plain,
% 50.27/33.33 (~v243(constB95)),
% 50.27/33.33 inference(unit_resolution,[status(thm)],[31281, 11206, 31278, 31274])).
% 50.27/33.33 tff(31283,plain,
% 50.27/33.33 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB95) | v255(constB95))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB95) | v255(constB95))),
% 50.27/33.33 inference(rewrite,[status(thm)],[])).
% 50.27/33.33 tff(31284,plain,
% 50.27/33.33 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB95) | v255(constB95))),
% 50.27/33.33 inference(quant_inst,[status(thm)],[])).
% 50.27/33.33 tff(31285,plain,
% 50.27/33.33 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB95) | v255(constB95)),
% 50.27/33.33 inference(modus_ponens,[status(thm)],[31284, 31283])).
% 50.27/33.33 tff(31286,plain,
% 50.27/33.33 (v255(constB95)),
% 50.27/33.33 inference(unit_resolution,[status(thm)],[31285, 11222, 31282])).
% 50.27/33.33 tff(31287,plain,
% 50.27/33.33 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB95)) | (~v216(constB95, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB95)) | (~v216(constB95, bitIndex2)))),
% 50.27/33.33 inference(rewrite,[status(thm)],[])).
% 50.27/33.33 tff(31288,plain,
% 50.27/33.33 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB95)) | (~v216(constB95, bitIndex2)))),
% 50.27/33.33 inference(quant_inst,[status(thm)],[])).
% 50.27/33.33 tff(31289,plain,
% 50.27/33.33 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB95)) | (~v216(constB95, bitIndex2))),
% 50.27/33.33 inference(modus_ponens,[status(thm)],[31288, 31287])).
% 50.27/33.33 tff(31290,plain,
% 50.27/33.33 (~v216(constB95, bitIndex2)),
% 50.27/33.33 inference(unit_resolution,[status(thm)],[31289, 11237, 31286])).
% 50.27/33.33 tff(31291,plain,
% 50.27/33.33 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v254(constB95) | v216(constB95, bitIndex2) | (~v215(constB95)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB95) | v216(constB95, bitIndex2) | (~v215(constB95)))),
% 50.27/33.33 inference(rewrite,[status(thm)],[])).
% 50.27/33.33 tff(31292,plain,
% 50.27/33.33 ((v216(constB95, bitIndex2) | v254(constB95) | (~v215(constB95))) <=> (v254(constB95) | v216(constB95, bitIndex2) | (~v215(constB95)))),
% 50.27/33.33 inference(rewrite,[status(thm)],[])).
% 50.27/33.33 tff(31293,plain,
% 50.27/33.33 (((~![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)))) | (v254(constB95) | v216(constB95, bitIndex2) | (~v215(constB95))))),
% 50.27/33.33 inference(monotonicity,[status(thm)],[31292])).
% 50.27/33.33 tff(31294,plain,
% 50.27/33.33 (((~![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)))) | v254(constB95) | v216(constB95, bitIndex2) | (~v215(constB95)))),
% 50.27/33.33 inference(transitivity,[status(thm)],[31293, 31291])).
% 50.27/33.33 tff(31295,plain,
% 50.27/33.33 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB95, bitIndex2) | v254(constB95) | (~v215(constB95)))),
% 50.27/33.33 inference(quant_inst,[status(thm)],[])).
% 50.27/33.33 tff(31296,plain,
% 50.27/33.33 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB95) | v216(constB95, bitIndex2) | (~v215(constB95))),
% 50.27/33.33 inference(modus_ponens,[status(thm)],[31295, 31294])).
% 50.27/33.33 tff(31297,plain,
% 50.27/33.33 (v254(constB95) | (~v215(constB95))),
% 50.27/33.33 inference(unit_resolution,[status(thm)],[31296, 11278, 31290])).
% 50.27/33.33 tff(31298,plain,
% 50.27/33.33 (~v215(constB95)),
% 50.27/33.33 inference(unit_resolution,[status(thm)],[31297, 31270])).
% 50.27/33.33 tff(31299,plain,
% 50.27/33.33 ($false),
% 50.27/33.33 inference(unit_resolution,[status(thm)],[31298, 31132])).
% 50.27/33.33 tff(31300,plain,(~(constB95 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.27/33.33 tff(31301,assumption,(constB107 = sK0_VarCurr), introduced(assumption)).
% 50.27/33.33 tff(31302,plain,
% 50.27/33.33 (v215(constB107) <=> v215(sK0_VarCurr)),
% 50.27/33.33 inference(monotonicity,[status(thm)],[31301])).
% 50.27/33.33 tff(31303,plain,
% 50.27/33.33 (v215(sK0_VarCurr) <=> v215(constB107)),
% 50.27/33.33 inference(symmetry,[status(thm)],[31302])).
% 50.27/33.33 tff(31304,plain,
% 50.27/33.33 (v215(constB107)),
% 50.27/33.33 inference(modus_ponens,[status(thm)],[11268, 31303])).
% 50.27/33.33 tff(31305,plain,
% 50.27/33.33 (((~![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)))),
% 50.27/33.33 inference(rewrite,[status(thm)],[])).
% 50.27/33.33 tff(31306,plain,
% 50.27/33.33 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB107, bitIndex2) | (~v88(constB107, bitIndex2)))),
% 50.27/33.33 inference(quant_inst,[status(thm)],[])).
% 50.27/33.33 tff(31307,plain,
% 50.27/33.33 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB107, bitIndex2) | (~v88(constB107, bitIndex2))),
% 50.27/33.33 inference(modus_ponens,[status(thm)],[31306, 31305])).
% 50.27/33.33 tff(31308,plain,
% 50.27/33.33 (~v88(constB107, bitIndex2)),
% 50.27/33.33 inference(unit_resolution,[status(thm)],[31307, 8769, 15739])).
% 50.27/33.33 tff(31309,plain,
% 50.27/33.33 (((~![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)))),
% 50.27/33.33 inference(rewrite,[status(thm)],[])).
% 50.27/33.33 tff(31310,plain,
% 50.27/33.33 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB107, bitIndex1) | (~v88(constB107, bitIndex1)))),
% 50.27/33.33 inference(quant_inst,[status(thm)],[])).
% 50.27/33.33 tff(31311,plain,
% 50.27/33.33 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB107, bitIndex1) | (~v88(constB107, bitIndex1))),
% 50.27/33.33 inference(modus_ponens,[status(thm)],[31310, 31309])).
% 50.27/33.33 tff(31312,plain,
% 50.27/33.33 (~v88(constB107, bitIndex1)),
% 50.27/33.33 inference(unit_resolution,[status(thm)],[31311, 10126, 15776])).
% 50.27/33.33 tff(31313,plain,
% 50.27/33.33 (((~![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))),
% 50.27/33.33 inference(rewrite,[status(thm)],[])).
% 50.27/33.33 tff(31314,plain,
% 50.27/33.33 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB107, bitIndex0)) | v88(constB107, bitIndex0))),
% 50.27/33.33 inference(quant_inst,[status(thm)],[])).
% 50.27/33.33 tff(31315,plain,
% 50.27/33.33 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB107, bitIndex0)) | v88(constB107, bitIndex0)),
% 50.27/33.33 inference(modus_ponens,[status(thm)],[31314, 31313])).
% 50.27/33.33 tff(31316,plain,
% 50.27/33.33 (v88(constB107, bitIndex0)),
% 50.27/33.33 inference(unit_resolution,[status(thm)],[31315, 8662, 15810])).
% 50.27/33.33 tff(31317,plain,
% 50.27/33.33 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB107, bitIndex1) | v88(constB107, bitIndex2) | (~v88(constB107, bitIndex0)) | v140(constB107))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB107, bitIndex1) | v88(constB107, bitIndex2) | (~v88(constB107, bitIndex0)) | v140(constB107))),
% 50.27/33.34 inference(rewrite,[status(thm)],[])).
% 50.27/33.34 tff(31318,plain,
% 50.27/33.34 ((v88(constB107, bitIndex2) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0)) | v140(constB107)) <=> (v88(constB107, bitIndex1) | v88(constB107, bitIndex2) | (~v88(constB107, bitIndex0)) | v140(constB107))),
% 50.27/33.34 inference(rewrite,[status(thm)],[])).
% 50.27/33.34 tff(31319,plain,
% 50.27/33.34 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB107, bitIndex2) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0)) | v140(constB107))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB107, bitIndex1) | v88(constB107, bitIndex2) | (~v88(constB107, bitIndex0)) | v140(constB107)))),
% 50.27/33.34 inference(monotonicity,[status(thm)],[31318])).
% 50.27/33.34 tff(31320,plain,
% 50.27/33.34 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB107, bitIndex2) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0)) | v140(constB107))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB107, bitIndex1) | v88(constB107, bitIndex2) | (~v88(constB107, bitIndex0)) | v140(constB107))),
% 50.27/33.34 inference(transitivity,[status(thm)],[31319, 31317])).
% 50.27/33.34 tff(31321,plain,
% 50.27/33.34 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB107, bitIndex2) | v88(constB107, bitIndex1) | (~v88(constB107, bitIndex0)) | v140(constB107))),
% 50.27/33.34 inference(quant_inst,[status(thm)],[])).
% 50.27/33.34 tff(31322,plain,
% 50.27/33.34 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB107, bitIndex1) | v88(constB107, bitIndex2) | (~v88(constB107, bitIndex0)) | v140(constB107)),
% 50.27/33.34 inference(modus_ponens,[status(thm)],[31321, 31320])).
% 50.27/33.34 tff(31323,plain,
% 50.27/33.34 (v140(constB107)),
% 50.27/33.34 inference(unit_resolution,[status(thm)],[31322, 10178, 31316, 31312, 31308])).
% 50.27/33.34 tff(31324,plain,
% 50.27/33.34 (((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB107) | (~v140(constB107)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB107) | (~v140(constB107)))),
% 50.27/33.34 inference(rewrite,[status(thm)],[])).
% 50.27/33.34 tff(31325,plain,
% 50.27/33.34 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB107) | (~v140(constB107)))),
% 50.27/33.34 inference(quant_inst,[status(thm)],[])).
% 50.27/33.34 tff(31326,plain,
% 50.27/33.34 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB107) | (~v140(constB107))),
% 50.27/33.34 inference(modus_ponens,[status(thm)],[31325, 31324])).
% 50.27/33.34 tff(31327,plain,
% 50.27/33.34 (v200(constB107)),
% 50.27/33.34 inference(unit_resolution,[status(thm)],[31326, 10192, 31323])).
% 50.27/33.34 tff(31328,plain,
% 50.27/33.34 (((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB107) | (~v200(constB107)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB107) | (~v200(constB107)))),
% 50.27/33.34 inference(rewrite,[status(thm)],[])).
% 50.27/33.34 tff(31329,plain,
% 50.27/33.34 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB107) | (~v200(constB107)))),
% 50.27/33.34 inference(quant_inst,[status(thm)],[])).
% 50.27/33.34 tff(31330,plain,
% 50.27/33.34 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB107) | (~v200(constB107))),
% 50.27/33.34 inference(modus_ponens,[status(thm)],[31329, 31328])).
% 50.27/33.34 tff(31331,plain,
% 50.27/33.34 (v199(constB107)),
% 50.27/33.34 inference(unit_resolution,[status(thm)],[31330, 10203, 31327])).
% 50.27/33.34 tff(31332,plain,
% 50.27/33.34 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB107) | (~v199(constB107)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB107) | (~v199(constB107)))),
% 50.27/33.34 inference(rewrite,[status(thm)],[])).
% 50.27/33.34 tff(31333,plain,
% 50.27/33.34 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB107) | (~v199(constB107)))),
% 50.27/33.34 inference(quant_inst,[status(thm)],[])).
% 50.27/33.34 tff(31334,plain,
% 50.27/33.34 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB107) | (~v199(constB107))),
% 50.27/33.34 inference(modus_ponens,[status(thm)],[31333, 31332])).
% 50.27/33.34 tff(31335,plain,
% 50.27/33.34 (v198(constB107)),
% 50.27/33.34 inference(unit_resolution,[status(thm)],[31334, 8809, 31331])).
% 50.27/33.34 tff(31336,plain,
% 50.27/33.34 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB107)) | (~v201(constB107)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB107)) | (~v201(constB107)))),
% 50.27/33.34 inference(rewrite,[status(thm)],[])).
% 50.27/33.34 tff(31337,plain,
% 50.27/33.34 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB107)) | (~v201(constB107)))),
% 50.27/33.34 inference(quant_inst,[status(thm)],[])).
% 50.27/33.34 tff(31338,plain,
% 50.27/33.34 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB107)) | (~v201(constB107))),
% 50.27/33.34 inference(modus_ponens,[status(thm)],[31337, 31336])).
% 50.27/33.34 tff(31339,plain,
% 50.27/33.34 (~v201(constB107)),
% 50.27/33.34 inference(unit_resolution,[status(thm)],[31338, 8823, 31335])).
% 50.27/33.34 tff(31340,plain,
% 50.27/33.34 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB107) | (~v198(constB107)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB107) | (~v198(constB107)))),
% 50.27/33.34 inference(rewrite,[status(thm)],[])).
% 50.27/33.34 tff(31341,plain,
% 50.27/33.34 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB107) | (~v198(constB107)))),
% 50.27/33.34 inference(quant_inst,[status(thm)],[])).
% 50.27/33.34 tff(31342,plain,
% 50.27/33.34 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB107) | (~v198(constB107))),
% 50.27/33.34 inference(modus_ponens,[status(thm)],[31341, 31340])).
% 50.27/33.34 tff(31343,plain,
% 50.27/33.34 (v197(constB107)),
% 50.27/33.34 inference(unit_resolution,[status(thm)],[31342, 8834, 31335])).
% 50.27/33.34 tff(31344,plain,
% 50.27/33.34 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB107) | (~v197(constB107)) | v201(constB107))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB107) | (~v197(constB107)) | v201(constB107))),
% 50.27/33.34 inference(rewrite,[status(thm)],[])).
% 50.27/33.34 tff(31345,plain,
% 50.27/33.34 (((~v197(constB107)) | v201(constB107) | v227(constB107)) <=> (v227(constB107) | (~v197(constB107)) | v201(constB107))),
% 50.27/33.34 inference(rewrite,[status(thm)],[])).
% 50.27/33.34 tff(31346,plain,
% 50.27/33.34 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB107)) | v201(constB107) | v227(constB107))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB107) | (~v197(constB107)) | v201(constB107)))),
% 50.27/33.34 inference(monotonicity,[status(thm)],[31345])).
% 50.27/33.34 tff(31347,plain,
% 50.27/33.34 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB107)) | v201(constB107) | v227(constB107))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB107) | (~v197(constB107)) | v201(constB107))),
% 50.27/33.34 inference(transitivity,[status(thm)],[31346, 31344])).
% 50.27/33.34 tff(31348,plain,
% 50.27/33.34 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB107)) | v201(constB107) | v227(constB107))),
% 50.27/33.34 inference(quant_inst,[status(thm)],[])).
% 50.27/33.34 tff(31349,plain,
% 50.27/33.34 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB107) | (~v197(constB107)) | v201(constB107)),
% 50.27/33.34 inference(modus_ponens,[status(thm)],[31348, 31347])).
% 50.27/33.34 tff(31350,plain,
% 50.27/33.34 (v227(constB107)),
% 50.27/33.34 inference(unit_resolution,[status(thm)],[31349, 8848, 31343, 31339])).
% 50.27/33.34 tff(31351,plain,
% 50.27/33.34 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB107)) | (~v223(constB107, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB107)) | (~v223(constB107, bitIndex0)))),
% 50.27/33.34 inference(rewrite,[status(thm)],[])).
% 50.27/33.34 tff(31352,plain,
% 50.27/33.34 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB107)) | (~v223(constB107, bitIndex0)))),
% 50.27/33.34 inference(quant_inst,[status(thm)],[])).
% 50.27/33.34 tff(31353,plain,
% 50.27/33.34 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB107)) | (~v223(constB107, bitIndex0))),
% 50.27/33.34 inference(modus_ponens,[status(thm)],[31352, 31351])).
% 50.27/33.34 tff(31354,plain,
% 50.27/33.34 (~v223(constB107, bitIndex0)),
% 50.27/33.34 inference(unit_resolution,[status(thm)],[31353, 8862, 31350])).
% 50.27/33.34 tff(31355,plain,
% 50.27/33.34 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB107)) | (~v199(constB107)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB107)) | (~v199(constB107)))),
% 50.27/33.34 inference(rewrite,[status(thm)],[])).
% 50.27/33.34 tff(31356,plain,
% 50.27/33.34 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB107)) | (~v199(constB107)))),
% 50.27/33.34 inference(quant_inst,[status(thm)],[])).
% 50.27/33.34 tff(31357,plain,
% 50.27/33.34 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB107)) | (~v199(constB107))),
% 50.27/33.34 inference(modus_ponens,[status(thm)],[31356, 31355])).
% 50.27/33.34 tff(31358,plain,
% 50.27/33.34 (~v183(constB107)),
% 50.27/33.34 inference(unit_resolution,[status(thm)],[31357, 8873, 31331])).
% 50.27/33.34 tff(31359,plain,
% 50.27/33.34 (((~![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)))),
% 50.27/33.34 inference(rewrite,[status(thm)],[])).
% 50.27/33.34 tff(31360,plain,
% 50.27/33.34 (((~v197(constB107)) | v183(constB107) | v228(constB107)) <=> (v228(constB107) | v183(constB107) | (~v197(constB107)))),
% 50.27/33.34 inference(rewrite,[status(thm)],[])).
% 50.27/33.34 tff(31361,plain,
% 50.27/33.34 (((~![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))))),
% 50.27/33.34 inference(monotonicity,[status(thm)],[31360])).
% 50.27/33.34 tff(31362,plain,
% 50.27/33.34 (((~![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)))),
% 50.27/33.34 inference(transitivity,[status(thm)],[31361, 31359])).
% 50.27/33.34 tff(31363,plain,
% 50.27/33.34 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB107)) | v183(constB107) | v228(constB107))),
% 50.27/33.34 inference(quant_inst,[status(thm)],[])).
% 50.27/33.34 tff(31364,plain,
% 50.27/33.34 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB107) | v183(constB107) | (~v197(constB107))),
% 50.27/33.34 inference(modus_ponens,[status(thm)],[31363, 31362])).
% 50.27/33.34 tff(31365,plain,
% 50.27/33.34 (v228(constB107)),
% 50.27/33.34 inference(unit_resolution,[status(thm)],[31364, 8887, 31343, 31358])).
% 50.27/33.34 tff(31366,plain,
% 50.27/33.34 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB107)) | (~v223(constB107, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB107)) | (~v223(constB107, bitIndex1)))),
% 50.27/33.34 inference(rewrite,[status(thm)],[])).
% 50.27/33.34 tff(31367,plain,
% 50.27/33.34 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB107)) | (~v223(constB107, bitIndex1)))),
% 50.27/33.34 inference(quant_inst,[status(thm)],[])).
% 50.27/33.34 tff(31368,plain,
% 50.27/33.34 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB107)) | (~v223(constB107, bitIndex1))),
% 50.27/33.34 inference(modus_ponens,[status(thm)],[31367, 31366])).
% 50.27/33.34 tff(31369,plain,
% 50.27/33.34 (~v223(constB107, bitIndex1)),
% 50.27/33.34 inference(unit_resolution,[status(thm)],[31368, 8901, 31365])).
% 50.27/33.34 tff(31370,plain,
% 50.27/33.34 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB107, bitIndex1) | v223(constB107, bitIndex0) | (~v229(constB107)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB107, bitIndex1) | v223(constB107, bitIndex0) | (~v229(constB107)))),
% 50.27/33.34 inference(rewrite,[status(thm)],[])).
% 50.27/33.34 tff(31371,plain,
% 50.27/33.34 ((v223(constB107, bitIndex0) | v223(constB107, bitIndex1) | (~v229(constB107))) <=> (v223(constB107, bitIndex1) | v223(constB107, bitIndex0) | (~v229(constB107)))),
% 50.27/33.34 inference(rewrite,[status(thm)],[])).
% 50.27/33.34 tff(31372,plain,
% 50.27/33.34 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB107, bitIndex0) | v223(constB107, bitIndex1) | (~v229(constB107)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB107, bitIndex1) | v223(constB107, bitIndex0) | (~v229(constB107))))),
% 50.27/33.34 inference(monotonicity,[status(thm)],[31371])).
% 50.27/33.34 tff(31373,plain,
% 50.27/33.34 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB107, bitIndex0) | v223(constB107, bitIndex1) | (~v229(constB107)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB107, bitIndex1) | v223(constB107, bitIndex0) | (~v229(constB107)))),
% 50.27/33.34 inference(transitivity,[status(thm)],[31372, 31370])).
% 50.27/33.34 tff(31374,plain,
% 50.27/33.34 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB107, bitIndex0) | v223(constB107, bitIndex1) | (~v229(constB107)))),
% 50.27/33.34 inference(quant_inst,[status(thm)],[])).
% 50.27/33.34 tff(31375,plain,
% 50.27/33.34 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB107, bitIndex1) | v223(constB107, bitIndex0) | (~v229(constB107))),
% 50.27/33.34 inference(modus_ponens,[status(thm)],[31374, 31373])).
% 50.27/33.34 tff(31376,plain,
% 50.27/33.34 (~v229(constB107)),
% 50.27/33.34 inference(unit_resolution,[status(thm)],[31375, 8915, 31369, 31354])).
% 50.27/33.34 tff(31377,plain,
% 50.27/33.34 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB107) | (~v225(constB107)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB107) | (~v225(constB107)))),
% 50.27/33.34 inference(rewrite,[status(thm)],[])).
% 50.27/33.34 tff(31378,plain,
% 50.27/33.34 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB107) | (~v225(constB107)))),
% 50.27/33.34 inference(quant_inst,[status(thm)],[])).
% 50.27/33.34 tff(31379,plain,
% 50.27/33.34 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB107) | (~v225(constB107))),
% 50.27/33.34 inference(modus_ponens,[status(thm)],[31378, 31377])).
% 50.27/33.34 tff(31380,plain,
% 50.27/33.34 (~v225(constB107)),
% 50.27/33.34 inference(unit_resolution,[status(thm)],[31379, 8929, 31376])).
% 50.27/33.34 tff(31381,plain,
% 50.27/33.34 (((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB107)) | (~v200(constB107)))) <=> ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB107)) | (~v200(constB107)))),
% 50.27/33.34 inference(rewrite,[status(thm)],[])).
% 50.27/33.34 tff(31382,plain,
% 50.27/33.34 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB107)) | (~v200(constB107)))),
% 50.27/33.34 inference(quant_inst,[status(thm)],[])).
% 50.27/33.34 tff(31383,plain,
% 50.27/33.34 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB107)) | (~v200(constB107))),
% 50.27/33.34 inference(modus_ponens,[status(thm)],[31382, 31381])).
% 50.27/33.34 tff(31384,plain,
% 50.27/33.34 (~v166(constB107)),
% 50.27/33.34 inference(unit_resolution,[status(thm)],[31383, 10263, 31327])).
% 50.27/33.34 tff(31385,plain,
% 50.27/33.34 (((~![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)))),
% 50.27/33.34 inference(rewrite,[status(thm)],[])).
% 50.27/33.34 tff(31386,plain,
% 50.27/33.34 (((~v197(constB107)) | v166(constB107) | v241(constB107)) <=> (v241(constB107) | v166(constB107) | (~v197(constB107)))),
% 50.27/33.34 inference(rewrite,[status(thm)],[])).
% 50.27/33.34 tff(31387,plain,
% 50.27/33.34 (((~![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))))),
% 50.27/33.34 inference(monotonicity,[status(thm)],[31386])).
% 50.27/33.34 tff(31388,plain,
% 50.27/33.34 (((~![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)))),
% 50.27/33.34 inference(transitivity,[status(thm)],[31387, 31385])).
% 50.27/33.34 tff(31389,plain,
% 50.27/33.34 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB107)) | v166(constB107) | v241(constB107))),
% 50.27/33.34 inference(quant_inst,[status(thm)],[])).
% 50.27/33.34 tff(31390,plain,
% 50.27/33.34 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB107) | v166(constB107) | (~v197(constB107))),
% 50.27/33.34 inference(modus_ponens,[status(thm)],[31389, 31388])).
% 50.27/33.34 tff(31391,plain,
% 50.27/33.34 (v241(constB107) | (~v197(constB107))),
% 50.27/33.34 inference(unit_resolution,[status(thm)],[31390, 10277, 31384])).
% 50.27/33.34 tff(31392,plain,
% 50.27/33.34 (v241(constB107)),
% 50.27/33.34 inference(unit_resolution,[status(thm)],[31391, 31343])).
% 50.27/33.34 tff(31393,plain,
% 50.27/33.34 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB107)) | (~v223(constB107, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB107)) | (~v223(constB107, bitIndex2)))),
% 50.27/33.34 inference(rewrite,[status(thm)],[])).
% 50.27/33.34 tff(31394,plain,
% 50.27/33.34 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB107)) | (~v223(constB107, bitIndex2)))),
% 50.27/33.34 inference(quant_inst,[status(thm)],[])).
% 50.27/33.34 tff(31395,plain,
% 50.27/33.34 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB107)) | (~v223(constB107, bitIndex2))),
% 50.27/33.34 inference(modus_ponens,[status(thm)],[31394, 31393])).
% 50.27/33.34 tff(31396,plain,
% 50.27/33.34 (~v223(constB107, bitIndex2)),
% 50.27/33.34 inference(unit_resolution,[status(thm)],[31395, 10292, 31392])).
% 50.27/33.34 tff(31397,plain,
% 50.27/33.34 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB107) | v223(constB107, bitIndex2) | (~v242(constB107)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v225(constB107) | v223(constB107, bitIndex2) | (~v242(constB107)))),
% 50.27/33.34 inference(rewrite,[status(thm)],[])).
% 50.27/33.34 tff(31398,plain,
% 50.27/33.34 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB107) | v223(constB107, bitIndex2) | (~v242(constB107)))),
% 50.27/33.34 inference(quant_inst,[status(thm)],[])).
% 50.27/33.34 tff(31399,plain,
% 50.27/33.34 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v225(constB107) | v223(constB107, bitIndex2) | (~v242(constB107))),
% 50.27/33.34 inference(modus_ponens,[status(thm)],[31398, 31397])).
% 50.27/33.34 tff(31400,plain,
% 50.27/33.34 (v225(constB107) | (~v242(constB107))),
% 50.27/33.34 inference(unit_resolution,[status(thm)],[31399, 10306, 31396])).
% 50.27/33.34 tff(31401,plain,
% 50.27/33.34 (~v242(constB107)),
% 50.27/33.34 inference(unit_resolution,[status(thm)],[31400, 31380])).
% 50.27/33.34 tff(31402,plain,
% 50.27/33.34 (((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB107) | (~v238(constB107)))) <=> ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB107) | (~v238(constB107)))),
% 50.27/33.34 inference(rewrite,[status(thm)],[])).
% 50.27/33.34 tff(31403,plain,
% 50.27/33.34 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB107) | (~v238(constB107)))),
% 50.27/33.34 inference(quant_inst,[status(thm)],[])).
% 50.27/33.34 tff(31404,plain,
% 50.27/33.34 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB107) | (~v238(constB107))),
% 50.27/33.34 inference(modus_ponens,[status(thm)],[31403, 31402])).
% 50.27/33.34 tff(31405,plain,
% 50.27/33.34 (~v238(constB107)),
% 50.27/33.34 inference(unit_resolution,[status(thm)],[31404, 10318, 31401])).
% 50.27/33.34 tff(31406,plain,
% 50.27/33.34 (((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB107) | (~v237(constB107)))) <=> ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB107) | (~v237(constB107)))),
% 50.27/33.34 inference(rewrite,[status(thm)],[])).
% 50.27/33.34 tff(31407,plain,
% 50.27/33.34 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB107) | (~v237(constB107)))),
% 50.27/33.34 inference(quant_inst,[status(thm)],[])).
% 50.27/33.34 tff(31408,plain,
% 50.27/33.34 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB107) | (~v237(constB107))),
% 50.27/33.34 inference(modus_ponens,[status(thm)],[31407, 31406])).
% 50.27/33.34 tff(31409,plain,
% 50.27/33.34 (~v237(constB107)),
% 50.27/33.34 inference(unit_resolution,[status(thm)],[31408, 10329, 31405])).
% 50.27/33.34 tff(31410,plain,
% 50.27/33.34 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB107)) | v223(constB107, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB107)) | v223(constB107, bitIndex2))),
% 50.27/33.34 inference(rewrite,[status(thm)],[])).
% 50.27/33.34 tff(31411,plain,
% 50.27/33.34 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB107)) | v223(constB107, bitIndex2))),
% 50.27/33.34 inference(quant_inst,[status(thm)],[])).
% 50.27/33.34 tff(31412,plain,
% 50.27/33.34 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB107)) | v223(constB107, bitIndex2)),
% 50.27/33.34 inference(modus_ponens,[status(thm)],[31411, 31410])).
% 50.27/33.34 tff(31413,plain,
% 50.27/33.34 (~v224(constB107)),
% 50.27/33.34 inference(unit_resolution,[status(thm)],[31412, 10343, 31396])).
% 50.27/33.34 tff(31414,plain,
% 50.27/33.34 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB107)) | v223(constB107, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB107)) | v223(constB107, bitIndex1))),
% 50.27/33.34 inference(rewrite,[status(thm)],[])).
% 50.27/33.34 tff(31415,plain,
% 50.27/33.34 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB107)) | v223(constB107, bitIndex1))),
% 50.27/33.34 inference(quant_inst,[status(thm)],[])).
% 50.27/33.34 tff(31416,plain,
% 50.27/33.34 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB107)) | v223(constB107, bitIndex1)),
% 50.27/33.34 inference(modus_ponens,[status(thm)],[31415, 31414])).
% 50.27/33.34 tff(31417,plain,
% 50.27/33.34 (~v222(constB107)),
% 50.27/33.34 inference(unit_resolution,[status(thm)],[31416, 8954, 31369])).
% 50.27/33.34 tff(31418,plain,
% 50.27/33.34 (((~![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)))),
% 50.27/33.34 inference(rewrite,[status(thm)],[])).
% 50.27/33.34 tff(31419,plain,
% 50.27/33.34 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB107) | v224(constB107) | (~v236(constB107)))),
% 50.27/33.34 inference(quant_inst,[status(thm)],[])).
% 50.27/33.34 tff(31420,plain,
% 50.27/33.34 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB107) | v224(constB107) | (~v236(constB107))),
% 50.27/33.34 inference(modus_ponens,[status(thm)],[31419, 31418])).
% 50.27/33.34 tff(31421,plain,
% 50.27/33.34 (~v236(constB107)),
% 50.27/33.34 inference(unit_resolution,[status(thm)],[31420, 8968, 31417, 31413])).
% 50.27/33.34 tff(31422,plain,
% 50.27/33.34 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB107) | (~v232(constB107)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB107) | (~v232(constB107)))),
% 50.27/33.34 inference(rewrite,[status(thm)],[])).
% 50.27/33.34 tff(31423,plain,
% 50.27/33.34 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB107) | (~v232(constB107)))),
% 50.27/33.34 inference(quant_inst,[status(thm)],[])).
% 50.27/33.34 tff(31424,plain,
% 50.27/33.34 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB107) | (~v232(constB107))),
% 50.27/33.34 inference(modus_ponens,[status(thm)],[31423, 31422])).
% 50.27/33.34 tff(31425,plain,
% 50.27/33.34 (~v232(constB107)),
% 50.27/33.34 inference(unit_resolution,[status(thm)],[31424, 8980, 31421])).
% 50.27/33.34 tff(31426,plain,
% 50.27/33.34 (((~![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))),
% 50.27/33.34 inference(rewrite,[status(thm)],[])).
% 50.27/33.34 tff(31427,plain,
% 50.27/33.34 ((v237(constB107) | v232(constB107) | (~v248(constB107))) <=> (v237(constB107) | (~v248(constB107)) | v232(constB107))),
% 50.27/33.34 inference(rewrite,[status(thm)],[])).
% 50.27/33.34 tff(31428,plain,
% 50.27/33.34 (((~![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)))),
% 50.27/33.34 inference(monotonicity,[status(thm)],[31427])).
% 50.27/33.34 tff(31429,plain,
% 50.27/33.34 (((~![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))),
% 50.27/33.34 inference(transitivity,[status(thm)],[31428, 31426])).
% 50.27/33.34 tff(31430,plain,
% 50.27/33.34 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB107) | v232(constB107) | (~v248(constB107)))),
% 50.27/33.34 inference(quant_inst,[status(thm)],[])).
% 50.27/33.34 tff(31431,plain,
% 50.27/33.34 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB107) | (~v248(constB107)) | v232(constB107)),
% 50.27/33.34 inference(modus_ponens,[status(thm)],[31430, 31429])).
% 50.27/33.34 tff(31432,plain,
% 50.27/33.34 (v237(constB107) | (~v248(constB107))),
% 50.27/33.34 inference(unit_resolution,[status(thm)],[31431, 9076, 31425])).
% 50.27/33.34 tff(31433,plain,
% 50.27/33.34 (~v248(constB107)),
% 50.27/33.34 inference(unit_resolution,[status(thm)],[31432, 31409])).
% 50.27/33.34 tff(31434,plain,
% 50.27/33.34 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB107) | (~v244(constB107)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB107) | (~v244(constB107)))),
% 50.27/33.34 inference(rewrite,[status(thm)],[])).
% 50.27/33.34 tff(31435,plain,
% 50.27/33.34 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB107) | (~v244(constB107)))),
% 50.27/33.34 inference(quant_inst,[status(thm)],[])).
% 50.27/33.34 tff(31436,plain,
% 50.27/33.34 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB107) | (~v244(constB107))),
% 50.27/33.34 inference(modus_ponens,[status(thm)],[31435, 31434])).
% 50.27/33.34 tff(31437,plain,
% 50.27/33.34 (~v244(constB107)),
% 50.27/33.34 inference(unit_resolution,[status(thm)],[31436, 11335, 31433])).
% 50.27/33.34 tff(31438,plain,
% 50.27/33.34 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB107) | (~v216(constB107, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB107) | (~v216(constB107, bitIndex1)))),
% 50.27/33.34 inference(rewrite,[status(thm)],[])).
% 50.27/33.34 tff(31439,plain,
% 50.27/33.34 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB107) | (~v216(constB107, bitIndex1)))),
% 50.27/33.34 inference(quant_inst,[status(thm)],[])).
% 50.27/33.34 tff(31440,plain,
% 50.27/33.34 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB107) | (~v216(constB107, bitIndex1))),
% 50.27/33.34 inference(modus_ponens,[status(thm)],[31439, 31438])).
% 50.27/33.34 tff(31441,plain,
% 50.27/33.34 (~v216(constB107, bitIndex1)),
% 50.27/33.34 inference(unit_resolution,[status(thm)],[31440, 11346, 31437])).
% 50.27/33.34 tff(31442,plain,
% 50.27/33.34 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB107, bitIndex1) | (~v254(constB107)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB107, bitIndex1) | (~v254(constB107)))),
% 50.27/33.34 inference(rewrite,[status(thm)],[])).
% 50.27/33.34 tff(31443,plain,
% 50.27/33.34 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB107, bitIndex1) | (~v254(constB107)))),
% 50.27/33.34 inference(quant_inst,[status(thm)],[])).
% 50.27/33.34 tff(31444,plain,
% 50.27/33.34 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB107, bitIndex1) | (~v254(constB107))),
% 50.27/33.34 inference(modus_ponens,[status(thm)],[31443, 31442])).
% 50.27/33.34 tff(31445,plain,
% 50.27/33.34 (~v254(constB107)),
% 50.27/33.34 inference(unit_resolution,[status(thm)],[31444, 11357, 31441])).
% 50.27/33.34 tff(31446,plain,
% 50.27/33.34 (((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB107) | (~v231(constB107)))) <=> ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB107) | (~v231(constB107)))),
% 50.27/33.34 inference(rewrite,[status(thm)],[])).
% 50.27/33.34 tff(31447,plain,
% 50.27/33.34 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB107) | (~v231(constB107)))),
% 50.27/33.34 inference(quant_inst,[status(thm)],[])).
% 50.27/33.34 tff(31448,plain,
% 50.27/33.34 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB107) | (~v231(constB107))),
% 50.27/33.34 inference(modus_ponens,[status(thm)],[31447, 31446])).
% 50.27/33.34 tff(31449,plain,
% 50.27/33.34 (~v231(constB107)),
% 50.27/33.34 inference(unit_resolution,[status(thm)],[31448, 24684, 31425])).
% 50.27/33.34 tff(31450,plain,
% 50.27/33.34 (((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB107) | (~v221(constB107)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB107) | (~v221(constB107)))),
% 50.27/33.34 inference(rewrite,[status(thm)],[])).
% 50.27/33.34 tff(31451,plain,
% 50.27/33.34 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB107) | (~v221(constB107)))),
% 50.27/33.34 inference(quant_inst,[status(thm)],[])).
% 50.27/33.34 tff(31452,plain,
% 50.27/33.34 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB107) | (~v221(constB107))),
% 50.27/33.34 inference(modus_ponens,[status(thm)],[31451, 31450])).
% 50.27/33.34 tff(31453,plain,
% 50.27/33.34 (~v221(constB107)),
% 50.27/33.34 inference(unit_resolution,[status(thm)],[31452, 11192, 31417])).
% 50.27/33.34 tff(31454,plain,
% 50.27/33.34 (((~![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)))),
% 50.27/33.34 inference(rewrite,[status(thm)],[])).
% 50.27/33.34 tff(31455,plain,
% 50.27/33.34 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB107) | v231(constB107) | (~v243(constB107)))),
% 50.27/33.34 inference(quant_inst,[status(thm)],[])).
% 50.27/33.34 tff(31456,plain,
% 50.27/33.34 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB107) | v231(constB107) | (~v243(constB107))),
% 50.27/33.34 inference(modus_ponens,[status(thm)],[31455, 31454])).
% 50.27/33.34 tff(31457,plain,
% 50.27/33.34 (v231(constB107) | (~v243(constB107))),
% 50.27/33.34 inference(unit_resolution,[status(thm)],[31456, 11206, 31453])).
% 50.27/33.34 tff(31458,plain,
% 50.27/33.34 (~v243(constB107)),
% 50.27/33.34 inference(unit_resolution,[status(thm)],[31457, 31449])).
% 50.27/33.34 tff(31459,plain,
% 50.27/33.34 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB107) | v255(constB107))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB107) | v255(constB107))),
% 50.27/33.34 inference(rewrite,[status(thm)],[])).
% 50.27/33.34 tff(31460,plain,
% 50.27/33.34 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB107) | v255(constB107))),
% 50.27/33.34 inference(quant_inst,[status(thm)],[])).
% 50.27/33.34 tff(31461,plain,
% 50.27/33.34 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB107) | v255(constB107)),
% 50.27/33.34 inference(modus_ponens,[status(thm)],[31460, 31459])).
% 50.27/33.34 tff(31462,plain,
% 50.27/33.34 (v255(constB107)),
% 50.27/33.34 inference(unit_resolution,[status(thm)],[31461, 11222, 31458])).
% 50.27/33.34 tff(31463,plain,
% 50.27/33.34 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB107)) | (~v216(constB107, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB107)) | (~v216(constB107, bitIndex2)))),
% 50.27/33.34 inference(rewrite,[status(thm)],[])).
% 50.27/33.34 tff(31464,plain,
% 50.27/33.34 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB107)) | (~v216(constB107, bitIndex2)))),
% 50.27/33.34 inference(quant_inst,[status(thm)],[])).
% 50.27/33.34 tff(31465,plain,
% 50.27/33.34 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB107)) | (~v216(constB107, bitIndex2))),
% 50.27/33.34 inference(modus_ponens,[status(thm)],[31464, 31463])).
% 50.27/33.34 tff(31466,plain,
% 50.27/33.34 (~v216(constB107, bitIndex2)),
% 50.27/33.34 inference(unit_resolution,[status(thm)],[31465, 11237, 31462])).
% 50.27/33.34 tff(31467,plain,
% 50.27/33.34 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v254(constB107) | v216(constB107, bitIndex2) | (~v215(constB107)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB107) | v216(constB107, bitIndex2) | (~v215(constB107)))),
% 50.27/33.34 inference(rewrite,[status(thm)],[])).
% 50.27/33.34 tff(31468,plain,
% 50.27/33.34 ((v216(constB107, bitIndex2) | v254(constB107) | (~v215(constB107))) <=> (v254(constB107) | v216(constB107, bitIndex2) | (~v215(constB107)))),
% 50.27/33.34 inference(rewrite,[status(thm)],[])).
% 50.27/33.34 tff(31469,plain,
% 50.27/33.34 (((~![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)))) | (v254(constB107) | v216(constB107, bitIndex2) | (~v215(constB107))))),
% 50.27/33.34 inference(monotonicity,[status(thm)],[31468])).
% 50.27/33.34 tff(31470,plain,
% 50.27/33.34 (((~![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)))) | v254(constB107) | v216(constB107, bitIndex2) | (~v215(constB107)))),
% 50.27/33.34 inference(transitivity,[status(thm)],[31469, 31467])).
% 50.27/33.34 tff(31471,plain,
% 50.27/33.34 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB107, bitIndex2) | v254(constB107) | (~v215(constB107)))),
% 50.27/33.34 inference(quant_inst,[status(thm)],[])).
% 50.27/33.34 tff(31472,plain,
% 50.27/33.34 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB107) | v216(constB107, bitIndex2) | (~v215(constB107))),
% 50.27/33.34 inference(modus_ponens,[status(thm)],[31471, 31470])).
% 50.27/33.34 tff(31473,plain,
% 50.27/33.34 (v254(constB107) | (~v215(constB107))),
% 50.27/33.34 inference(unit_resolution,[status(thm)],[31472, 11278, 31466])).
% 50.27/33.34 tff(31474,plain,
% 50.27/33.34 (~v215(constB107)),
% 50.27/33.34 inference(unit_resolution,[status(thm)],[31473, 31445])).
% 50.27/33.34 tff(31475,plain,
% 50.27/33.34 ($false),
% 50.27/33.34 inference(unit_resolution,[status(thm)],[31474, 31304])).
% 50.27/33.34 tff(31476,plain,(~(constB107 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.27/33.34 tff(31477,assumption,(constB15 = sK0_VarCurr), introduced(assumption)).
% 50.27/33.34 tff(31478,plain,
% 50.27/33.34 (v215(constB15) <=> v215(sK0_VarCurr)),
% 50.27/33.34 inference(monotonicity,[status(thm)],[31477])).
% 50.27/33.34 tff(31479,plain,
% 50.27/33.34 (v215(sK0_VarCurr) <=> v215(constB15)),
% 50.27/33.34 inference(symmetry,[status(thm)],[31478])).
% 50.27/33.34 tff(31480,plain,
% 50.27/33.34 (v215(constB15)),
% 50.27/33.34 inference(modus_ponens,[status(thm)],[11268, 31479])).
% 50.27/33.34 tff(31481,plain,
% 50.27/33.34 (((~![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)))),
% 50.27/33.34 inference(rewrite,[status(thm)],[])).
% 50.27/33.34 tff(31482,plain,
% 50.27/33.34 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB15, bitIndex0) | (~v88(constB15, bitIndex0)))),
% 50.27/33.34 inference(quant_inst,[status(thm)],[])).
% 50.27/33.34 tff(31483,plain,
% 50.27/33.34 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB15, bitIndex0) | (~v88(constB15, bitIndex0))),
% 50.27/33.34 inference(modus_ponens,[status(thm)],[31482, 31481])).
% 50.27/33.34 tff(31484,plain,
% 50.27/33.34 (~v88(constB15, bitIndex0)),
% 50.27/33.34 inference(unit_resolution,[status(thm)],[31483, 10505, 2214])).
% 50.27/33.34 tff(31485,plain,
% 50.27/33.34 (((~![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))),
% 50.27/33.34 inference(rewrite,[status(thm)],[])).
% 50.27/33.34 tff(31486,plain,
% 50.27/33.34 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB15, bitIndex2)) | v88(constB15, bitIndex2))),
% 50.27/33.34 inference(quant_inst,[status(thm)],[])).
% 50.27/33.34 tff(31487,plain,
% 50.27/33.34 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB15, bitIndex2)) | v88(constB15, bitIndex2)),
% 50.27/33.34 inference(modus_ponens,[status(thm)],[31486, 31485])).
% 50.27/33.34 tff(31488,plain,
% 50.27/33.34 (v88(constB15, bitIndex2)),
% 50.27/33.34 inference(unit_resolution,[status(thm)],[31487, 25107, 2149])).
% 50.27/33.34 tff(31489,plain,
% 50.27/33.34 (((~![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))),
% 50.27/33.34 inference(rewrite,[status(thm)],[])).
% 50.27/33.34 tff(31490,plain,
% 50.27/33.34 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB15, bitIndex1)) | v88(constB15, bitIndex1))),
% 50.27/33.34 inference(quant_inst,[status(thm)],[])).
% 50.27/33.34 tff(31491,plain,
% 50.27/33.34 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB15, bitIndex1)) | v88(constB15, bitIndex1)),
% 50.27/33.34 inference(modus_ponens,[status(thm)],[31490, 31489])).
% 50.27/33.34 tff(31492,plain,
% 50.27/33.34 (v88(constB15, bitIndex1)),
% 50.27/33.34 inference(unit_resolution,[status(thm)],[31491, 8707, 2180])).
% 50.27/33.34 tff(31493,plain,
% 50.27/33.34 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB15, bitIndex2)) | v144(constB15) | (~v88(constB15, bitIndex1)) | v88(constB15, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB15, bitIndex2)) | v144(constB15) | (~v88(constB15, bitIndex1)) | v88(constB15, bitIndex0))),
% 50.27/33.34 inference(rewrite,[status(thm)],[])).
% 50.27/33.34 tff(31494,plain,
% 50.27/33.34 (((~v88(constB15, bitIndex2)) | (~v88(constB15, bitIndex1)) | v88(constB15, bitIndex0) | v144(constB15)) <=> ((~v88(constB15, bitIndex2)) | v144(constB15) | (~v88(constB15, bitIndex1)) | v88(constB15, bitIndex0))),
% 50.27/33.34 inference(rewrite,[status(thm)],[])).
% 50.27/33.34 tff(31495,plain,
% 50.27/33.34 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB15, bitIndex2)) | (~v88(constB15, bitIndex1)) | v88(constB15, bitIndex0) | v144(constB15))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB15, bitIndex2)) | v144(constB15) | (~v88(constB15, bitIndex1)) | v88(constB15, bitIndex0)))),
% 50.27/33.34 inference(monotonicity,[status(thm)],[31494])).
% 50.27/33.34 tff(31496,plain,
% 50.27/33.34 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB15, bitIndex2)) | (~v88(constB15, bitIndex1)) | v88(constB15, bitIndex0) | v144(constB15))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB15, bitIndex2)) | v144(constB15) | (~v88(constB15, bitIndex1)) | v88(constB15, bitIndex0))),
% 50.27/33.35 inference(transitivity,[status(thm)],[31495, 31493])).
% 50.27/33.35 tff(31497,plain,
% 50.27/33.35 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB15, bitIndex2)) | (~v88(constB15, bitIndex1)) | v88(constB15, bitIndex0) | v144(constB15))),
% 50.27/33.35 inference(quant_inst,[status(thm)],[])).
% 50.27/33.35 tff(31498,plain,
% 50.27/33.35 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB15, bitIndex2)) | v144(constB15) | (~v88(constB15, bitIndex1)) | v88(constB15, bitIndex0)),
% 50.27/33.35 inference(modus_ponens,[status(thm)],[31497, 31496])).
% 50.27/33.35 tff(31499,plain,
% 50.27/33.35 (v144(constB15)),
% 50.27/33.35 inference(unit_resolution,[status(thm)],[31498, 25122, 31492, 31488, 31484])).
% 50.27/33.35 tff(31500,plain,
% 50.27/33.35 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB15) | (~v144(constB15)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB15) | (~v144(constB15)))),
% 50.27/33.35 inference(rewrite,[status(thm)],[])).
% 50.27/33.35 tff(31501,plain,
% 50.27/33.35 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB15) | (~v144(constB15)))),
% 50.27/33.35 inference(quant_inst,[status(thm)],[])).
% 50.27/33.35 tff(31502,plain,
% 50.27/33.35 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB15) | (~v144(constB15))),
% 50.27/33.35 inference(modus_ponens,[status(thm)],[31501, 31500])).
% 50.27/33.35 tff(31503,plain,
% 50.27/33.35 (v142(constB15)),
% 50.27/33.35 inference(unit_resolution,[status(thm)],[31502, 25139, 31499])).
% 50.27/33.35 tff(31504,plain,
% 50.27/33.35 (((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB15) | (~v142(constB15)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB15) | (~v142(constB15)))),
% 50.27/33.35 inference(rewrite,[status(thm)],[])).
% 50.27/33.35 tff(31505,plain,
% 50.27/33.35 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB15) | (~v142(constB15)))),
% 50.27/33.35 inference(quant_inst,[status(thm)],[])).
% 50.27/33.35 tff(31506,plain,
% 50.27/33.35 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB15) | (~v142(constB15))),
% 50.27/33.35 inference(modus_ponens,[status(thm)],[31505, 31504])).
% 50.27/33.35 tff(31507,plain,
% 50.27/33.35 (v198(constB15)),
% 50.27/33.35 inference(unit_resolution,[status(thm)],[31506, 10548, 31503])).
% 50.27/33.35 tff(31508,plain,
% 50.27/33.35 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB15)) | (~v201(constB15)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB15)) | (~v201(constB15)))),
% 50.27/33.35 inference(rewrite,[status(thm)],[])).
% 50.27/33.35 tff(31509,plain,
% 50.27/33.35 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB15)) | (~v201(constB15)))),
% 50.27/33.35 inference(quant_inst,[status(thm)],[])).
% 50.27/33.35 tff(31510,plain,
% 50.27/33.35 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB15)) | (~v201(constB15))),
% 50.27/33.35 inference(modus_ponens,[status(thm)],[31509, 31508])).
% 50.27/33.35 tff(31511,plain,
% 50.27/33.35 (~v201(constB15)),
% 50.27/33.35 inference(unit_resolution,[status(thm)],[31510, 8823, 31507])).
% 50.27/33.35 tff(31512,plain,
% 50.27/33.35 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB15) | (~v198(constB15)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB15) | (~v198(constB15)))),
% 50.27/33.35 inference(rewrite,[status(thm)],[])).
% 50.27/33.35 tff(31513,plain,
% 50.27/33.35 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB15) | (~v198(constB15)))),
% 50.27/33.35 inference(quant_inst,[status(thm)],[])).
% 50.27/33.35 tff(31514,plain,
% 50.27/33.35 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB15) | (~v198(constB15))),
% 50.27/33.35 inference(modus_ponens,[status(thm)],[31513, 31512])).
% 50.27/33.35 tff(31515,plain,
% 50.27/33.35 (v197(constB15)),
% 50.27/33.35 inference(unit_resolution,[status(thm)],[31514, 8834, 31507])).
% 50.27/33.35 tff(31516,plain,
% 50.27/33.35 (((~![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))),
% 50.27/33.35 inference(rewrite,[status(thm)],[])).
% 50.27/33.35 tff(31517,plain,
% 50.27/33.35 (((~v197(constB15)) | v201(constB15) | v227(constB15)) <=> (v227(constB15) | (~v197(constB15)) | v201(constB15))),
% 50.27/33.35 inference(rewrite,[status(thm)],[])).
% 50.27/33.35 tff(31518,plain,
% 50.27/33.35 (((~![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)))),
% 50.27/33.35 inference(monotonicity,[status(thm)],[31517])).
% 50.27/33.35 tff(31519,plain,
% 50.27/33.35 (((~![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))),
% 50.27/33.35 inference(transitivity,[status(thm)],[31518, 31516])).
% 50.27/33.35 tff(31520,plain,
% 50.27/33.35 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB15)) | v201(constB15) | v227(constB15))),
% 50.27/33.35 inference(quant_inst,[status(thm)],[])).
% 50.27/33.35 tff(31521,plain,
% 50.27/33.35 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB15) | (~v197(constB15)) | v201(constB15)),
% 50.27/33.35 inference(modus_ponens,[status(thm)],[31520, 31519])).
% 50.27/33.35 tff(31522,plain,
% 50.27/33.35 (v227(constB15)),
% 50.27/33.35 inference(unit_resolution,[status(thm)],[31521, 8848, 31515, 31511])).
% 50.27/33.35 tff(31523,plain,
% 50.27/33.35 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB15)) | (~v223(constB15, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB15)) | (~v223(constB15, bitIndex0)))),
% 50.27/33.35 inference(rewrite,[status(thm)],[])).
% 50.27/33.35 tff(31524,plain,
% 50.27/33.35 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB15)) | (~v223(constB15, bitIndex0)))),
% 50.27/33.35 inference(quant_inst,[status(thm)],[])).
% 50.27/33.35 tff(31525,plain,
% 50.27/33.35 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB15)) | (~v223(constB15, bitIndex0))),
% 50.27/33.35 inference(modus_ponens,[status(thm)],[31524, 31523])).
% 50.27/33.35 tff(31526,plain,
% 50.27/33.35 (~v223(constB15, bitIndex0)),
% 50.27/33.35 inference(unit_resolution,[status(thm)],[31525, 8862, 31522])).
% 50.27/33.35 tff(31527,plain,
% 50.27/33.35 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB15, bitIndex0) | (~v222(constB15)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | v223(constB15, bitIndex0) | (~v222(constB15)))),
% 50.27/33.35 inference(rewrite,[status(thm)],[])).
% 50.27/33.35 tff(31528,plain,
% 50.27/33.35 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB15, bitIndex0) | (~v222(constB15)))),
% 50.27/33.35 inference(quant_inst,[status(thm)],[])).
% 50.27/33.35 tff(31529,plain,
% 50.27/33.35 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | v223(constB15, bitIndex0) | (~v222(constB15))),
% 50.27/33.35 inference(modus_ponens,[status(thm)],[31528, 31527])).
% 50.27/33.35 tff(31530,plain,
% 50.27/33.35 (~v222(constB15)),
% 50.27/33.35 inference(unit_resolution,[status(thm)],[31529, 10578, 31526])).
% 50.27/33.35 tff(31531,plain,
% 50.27/33.35 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB15, bitIndex1)) | (~v139(constB15)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB15, bitIndex1)) | (~v139(constB15)))),
% 50.27/33.35 inference(rewrite,[status(thm)],[])).
% 50.27/33.35 tff(31532,plain,
% 50.27/33.35 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB15, bitIndex1)) | (~v139(constB15)))),
% 50.27/33.35 inference(quant_inst,[status(thm)],[])).
% 50.27/33.35 tff(31533,plain,
% 50.27/33.35 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB15, bitIndex1)) | (~v139(constB15))),
% 50.27/33.35 inference(modus_ponens,[status(thm)],[31532, 31531])).
% 50.27/33.35 tff(31534,plain,
% 50.27/33.35 (~v139(constB15)),
% 50.27/33.35 inference(unit_resolution,[status(thm)],[31533, 10589, 31492])).
% 50.27/33.35 tff(31535,plain,
% 50.27/33.35 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB15, bitIndex1)) | (~v140(constB15)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB15, bitIndex1)) | (~v140(constB15)))),
% 50.27/33.35 inference(rewrite,[status(thm)],[])).
% 50.27/33.35 tff(31536,plain,
% 50.27/33.35 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB15, bitIndex1)) | (~v140(constB15)))),
% 50.27/33.35 inference(quant_inst,[status(thm)],[])).
% 50.27/33.35 tff(31537,plain,
% 50.27/33.35 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB15, bitIndex1)) | (~v140(constB15))),
% 50.27/33.35 inference(modus_ponens,[status(thm)],[31536, 31535])).
% 50.27/33.35 tff(31538,plain,
% 50.27/33.35 (~v140(constB15)),
% 50.27/33.35 inference(unit_resolution,[status(thm)],[31537, 9002, 31492])).
% 50.27/33.35 tff(31539,plain,
% 50.27/33.35 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB15) | v139(constB15) | (~v200(constB15)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB15) | v139(constB15) | (~v200(constB15)))),
% 50.27/33.35 inference(rewrite,[status(thm)],[])).
% 50.27/33.35 tff(31540,plain,
% 50.27/33.35 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB15) | v139(constB15) | (~v200(constB15)))),
% 50.27/33.35 inference(quant_inst,[status(thm)],[])).
% 50.27/33.35 tff(31541,plain,
% 50.27/33.35 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB15) | v139(constB15) | (~v200(constB15))),
% 50.27/33.35 inference(modus_ponens,[status(thm)],[31540, 31539])).
% 50.27/33.35 tff(31542,plain,
% 50.27/33.35 (~v200(constB15)),
% 50.27/33.35 inference(unit_resolution,[status(thm)],[31541, 10610, 31538, 31534])).
% 50.27/33.35 tff(31543,plain,
% 50.27/33.35 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB14, bitIndex2)) | (~v122(constB14)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB14, bitIndex2)) | (~v122(constB14)))),
% 50.27/33.35 inference(rewrite,[status(thm)],[])).
% 50.27/33.35 tff(31544,plain,
% 50.27/33.35 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB14, bitIndex2)) | (~v122(constB14)))),
% 50.27/33.35 inference(quant_inst,[status(thm)],[])).
% 50.27/33.35 tff(31545,plain,
% 50.27/33.35 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB14, bitIndex2)) | (~v122(constB14))),
% 50.27/33.35 inference(modus_ponens,[status(thm)],[31544, 31543])).
% 50.27/33.35 tff(31546,plain,
% 50.27/33.35 (~v122(constB14)),
% 50.27/33.35 inference(unit_resolution,[status(thm)],[31545, 894, 2122])).
% 50.27/33.35 tff(31547,assumption,(v141(constB15)), introduced(assumption)).
% 50.27/33.35 tff(31548,plain,
% 50.27/33.35 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB15, bitIndex2)) | (~v141(constB15)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB15, bitIndex2)) | (~v141(constB15)))),
% 50.27/33.35 inference(rewrite,[status(thm)],[])).
% 50.27/33.35 tff(31549,plain,
% 50.27/33.35 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB15, bitIndex2)) | (~v141(constB15)))),
% 50.27/33.35 inference(quant_inst,[status(thm)],[])).
% 50.27/33.35 tff(31550,plain,
% 50.27/33.35 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB15, bitIndex2)) | (~v141(constB15))),
% 50.27/33.35 inference(modus_ponens,[status(thm)],[31549, 31548])).
% 50.27/33.35 tff(31551,plain,
% 50.27/33.35 (~v88(constB15, bitIndex2)),
% 50.27/33.35 inference(unit_resolution,[status(thm)],[31550, 25200, 31547])).
% 50.27/33.35 tff(31552,plain,
% 50.27/33.35 (~v90(constB15, bitIndex2)),
% 50.27/33.35 inference(unit_resolution,[status(thm)],[31487, 25107, 31551])).
% 50.27/33.35 tff(31553,plain,
% 50.27/33.35 (~v90(constB14, bitIndex2)),
% 50.27/33.35 inference(unit_resolution,[status(thm)],[2148, 31552])).
% 50.27/33.35 tff(31554,plain,
% 50.27/33.35 (^[VarCurr: $i] : refl((v88(VarCurr, bitIndex1) | (~v141(VarCurr))) <=> (v88(VarCurr, bitIndex1) | (~v141(VarCurr))))),
% 50.27/33.35 inference(bind,[status(th)],[])).
% 50.27/33.35 tff(31555,plain,
% 50.27/33.35 (![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v141(VarCurr))) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v141(VarCurr)))),
% 50.27/33.35 inference(quant_intro,[status(thm)],[31554])).
% 50.27/33.35 tff(31556,plain,
% 50.27/33.35 (![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v141(VarCurr))) <=> ![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v141(VarCurr)))),
% 50.27/33.35 inference(rewrite,[status(thm)],[])).
% 50.27/33.35 tff(31557,axiom,(![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v141(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_11_1_1_2')).
% 50.27/33.35 tff(31558,plain,
% 50.27/33.35 (![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v141(VarCurr)))),
% 50.27/33.35 inference(modus_ponens,[status(thm)],[31557, 31556])).
% 50.27/33.35 tff(31559,plain,(
% 50.27/33.35 ![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v141(VarCurr)))),
% 50.27/33.35 inference(skolemize,[status(sab)],[31558])).
% 50.27/33.35 tff(31560,plain,
% 50.27/33.35 (![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v141(VarCurr)))),
% 50.27/33.35 inference(modus_ponens,[status(thm)],[31559, 31555])).
% 50.27/33.35 tff(31561,plain,
% 50.27/33.35 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v141(VarCurr)))) | (v88(constB15, bitIndex1) | (~v141(constB15)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v141(VarCurr)))) | v88(constB15, bitIndex1) | (~v141(constB15)))),
% 50.27/33.35 inference(rewrite,[status(thm)],[])).
% 50.27/33.35 tff(31562,plain,
% 50.27/33.35 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v141(VarCurr)))) | (v88(constB15, bitIndex1) | (~v141(constB15)))),
% 50.27/33.35 inference(quant_inst,[status(thm)],[])).
% 50.27/33.35 tff(31563,plain,
% 50.27/33.35 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex1) | (~v141(VarCurr)))) | v88(constB15, bitIndex1) | (~v141(constB15))),
% 50.27/33.35 inference(modus_ponens,[status(thm)],[31562, 31561])).
% 50.27/33.35 tff(31564,plain,
% 50.27/33.35 (v88(constB15, bitIndex1)),
% 50.27/33.35 inference(unit_resolution,[status(thm)],[31563, 31560, 31547])).
% 50.27/33.35 tff(31565,plain,
% 50.27/33.35 (((~![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)))),
% 50.27/33.35 inference(rewrite,[status(thm)],[])).
% 50.27/33.35 tff(31566,plain,
% 50.27/33.35 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB15, bitIndex1) | (~v88(constB15, bitIndex1)))),
% 50.27/33.35 inference(quant_inst,[status(thm)],[])).
% 50.27/33.35 tff(31567,plain,
% 50.27/33.35 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB15, bitIndex1) | (~v88(constB15, bitIndex1))),
% 50.27/33.35 inference(modus_ponens,[status(thm)],[31566, 31565])).
% 50.27/33.35 tff(31568,plain,
% 50.27/33.35 (v90(constB15, bitIndex1)),
% 50.27/33.35 inference(unit_resolution,[status(thm)],[31567, 10126, 31564])).
% 50.27/33.35 tff(31569,plain,
% 50.27/33.35 (v90(constB14, bitIndex1)),
% 50.27/33.35 inference(unit_resolution,[status(thm)],[2748, 31568])).
% 50.27/33.35 tff(31570,plain,
% 50.27/33.35 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB15, bitIndex0) | (~v141(constB15)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB15, bitIndex0) | (~v141(constB15)))),
% 50.27/33.35 inference(rewrite,[status(thm)],[])).
% 50.27/33.35 tff(31571,plain,
% 50.27/33.35 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB15, bitIndex0) | (~v141(constB15)))),
% 50.27/33.35 inference(quant_inst,[status(thm)],[])).
% 50.27/33.35 tff(31572,plain,
% 50.27/33.35 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB15, bitIndex0) | (~v141(constB15))),
% 50.27/33.35 inference(modus_ponens,[status(thm)],[31571, 31570])).
% 50.27/33.35 tff(31573,plain,
% 50.27/33.35 (v88(constB15, bitIndex0)),
% 50.27/33.35 inference(unit_resolution,[status(thm)],[31572, 10624, 31547])).
% 50.27/33.35 tff(31574,plain,
% 50.27/33.35 (v90(constB15, bitIndex0)),
% 50.27/33.35 inference(unit_resolution,[status(thm)],[31483, 10505, 31573])).
% 50.27/33.35 tff(31575,plain,
% 50.27/33.35 (v90(constB14, bitIndex0)),
% 50.27/33.35 inference(unit_resolution,[status(thm)],[2213, 31574])).
% 50.27/33.35 tff(31576,assumption,(~v122(constB14)), introduced(assumption)).
% 50.27/33.35 tff(31577,plain,
% 50.27/33.35 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB14, bitIndex0)) | (~v90(constB14, bitIndex1)) | v90(constB14, bitIndex2) | v122(constB14))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB14, bitIndex0)) | (~v90(constB14, bitIndex1)) | v90(constB14, bitIndex2) | v122(constB14))),
% 50.27/33.35 inference(rewrite,[status(thm)],[])).
% 50.27/33.35 tff(31578,plain,
% 50.27/33.35 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | ((~v90(constB14, bitIndex0)) | (~v90(constB14, bitIndex1)) | v90(constB14, bitIndex2) | v122(constB14))),
% 50.27/33.35 inference(quant_inst,[status(thm)],[])).
% 50.27/33.35 tff(31579,plain,
% 50.27/33.35 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | (~v90(VarCurr, bitIndex1)) | v90(VarCurr, bitIndex2) | v122(VarCurr))) | (~v90(constB14, bitIndex0)) | (~v90(constB14, bitIndex1)) | v90(constB14, bitIndex2) | v122(constB14)),
% 50.27/33.35 inference(modus_ponens,[status(thm)],[31578, 31577])).
% 50.27/33.35 tff(31580,plain,
% 50.27/33.35 ((~v90(constB14, bitIndex0)) | (~v90(constB14, bitIndex1)) | v90(constB14, bitIndex2)),
% 50.27/33.35 inference(unit_resolution,[status(thm)],[31579, 1789, 31576])).
% 50.27/33.35 tff(31581,plain,
% 50.27/33.35 ($false),
% 50.27/33.35 inference(unit_resolution,[status(thm)],[31580, 31575, 31569, 31553])).
% 50.27/33.35 tff(31582,plain,((~v141(constB15)) | v122(constB14)), inference(lemma,lemma(discharge,[]))).
% 50.27/33.35 tff(31583,plain,
% 50.27/33.35 (~v141(constB15)),
% 50.27/33.35 inference(unit_resolution,[status(thm)],[31582, 31546])).
% 50.27/33.35 tff(31584,plain,
% 50.27/33.35 (((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB15) | v200(constB15) | (~v166(constB15)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB15) | v200(constB15) | (~v166(constB15)))),
% 50.27/33.35 inference(rewrite,[status(thm)],[])).
% 50.27/33.35 tff(31585,plain,
% 50.27/33.35 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB15) | v200(constB15) | (~v166(constB15)))),
% 50.27/33.35 inference(quant_inst,[status(thm)],[])).
% 50.27/33.35 tff(31586,plain,
% 50.27/33.35 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB15) | v200(constB15) | (~v166(constB15))),
% 50.27/33.35 inference(modus_ponens,[status(thm)],[31585, 31584])).
% 50.27/33.35 tff(31587,plain,
% 50.27/33.35 (~v166(constB15)),
% 50.27/33.35 inference(unit_resolution,[status(thm)],[31586, 10638, 31583, 31542])).
% 50.27/33.35 tff(31588,plain,
% 50.27/33.35 (((~![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))),
% 50.27/33.35 inference(rewrite,[status(thm)],[])).
% 50.27/33.35 tff(31589,plain,
% 50.27/33.35 (((~v197(constB15)) | v166(constB15) | v241(constB15)) <=> (v241(constB15) | (~v197(constB15)) | v166(constB15))),
% 50.27/33.35 inference(rewrite,[status(thm)],[])).
% 50.27/33.35 tff(31590,plain,
% 50.27/33.35 (((~![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)))),
% 50.27/33.35 inference(monotonicity,[status(thm)],[31589])).
% 50.27/33.35 tff(31591,plain,
% 50.27/33.35 (((~![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))),
% 50.27/33.35 inference(transitivity,[status(thm)],[31590, 31588])).
% 50.27/33.35 tff(31592,plain,
% 50.27/33.35 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB15)) | v166(constB15) | v241(constB15))),
% 50.27/33.35 inference(quant_inst,[status(thm)],[])).
% 50.27/33.35 tff(31593,plain,
% 50.27/33.35 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB15) | (~v197(constB15)) | v166(constB15)),
% 50.27/33.35 inference(modus_ponens,[status(thm)],[31592, 31591])).
% 50.27/33.35 tff(31594,plain,
% 50.27/33.35 (v241(constB15) | (~v197(constB15))),
% 50.27/33.35 inference(unit_resolution,[status(thm)],[31593, 10277, 31587])).
% 50.27/33.35 tff(31595,plain,
% 50.27/33.35 (v241(constB15)),
% 50.27/33.35 inference(unit_resolution,[status(thm)],[31594, 31515])).
% 50.27/33.35 tff(31596,plain,
% 50.27/33.35 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB15)) | (~v223(constB15, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB15)) | (~v223(constB15, bitIndex2)))),
% 50.27/33.35 inference(rewrite,[status(thm)],[])).
% 50.27/33.35 tff(31597,plain,
% 50.27/33.35 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB15)) | (~v223(constB15, bitIndex2)))),
% 50.27/33.35 inference(quant_inst,[status(thm)],[])).
% 50.27/33.35 tff(31598,plain,
% 50.27/33.35 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB15)) | (~v223(constB15, bitIndex2))),
% 50.27/33.35 inference(modus_ponens,[status(thm)],[31597, 31596])).
% 50.27/33.35 tff(31599,plain,
% 50.27/33.35 (~v223(constB15, bitIndex2)),
% 50.27/33.35 inference(unit_resolution,[status(thm)],[31598, 10292, 31595])).
% 50.27/33.35 tff(31600,plain,
% 50.27/33.35 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB15)) | v223(constB15, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB15)) | v223(constB15, bitIndex2))),
% 50.27/33.35 inference(rewrite,[status(thm)],[])).
% 50.27/33.35 tff(31601,plain,
% 50.27/33.35 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB15)) | v223(constB15, bitIndex2))),
% 50.27/33.35 inference(quant_inst,[status(thm)],[])).
% 50.27/33.35 tff(31602,plain,
% 50.27/33.35 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB15)) | v223(constB15, bitIndex2)),
% 50.27/33.35 inference(modus_ponens,[status(thm)],[31601, 31600])).
% 50.27/33.35 tff(31603,plain,
% 50.27/33.35 (~v224(constB15)),
% 50.27/33.35 inference(unit_resolution,[status(thm)],[31602, 10343, 31599])).
% 50.27/33.35 tff(31604,plain,
% 50.27/33.35 (((~![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)))),
% 50.27/33.35 inference(rewrite,[status(thm)],[])).
% 50.27/33.35 tff(31605,plain,
% 50.27/33.35 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB15) | v224(constB15) | (~v236(constB15)))),
% 50.27/33.35 inference(quant_inst,[status(thm)],[])).
% 50.27/33.35 tff(31606,plain,
% 50.27/33.35 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB15) | v224(constB15) | (~v236(constB15))),
% 50.27/33.35 inference(modus_ponens,[status(thm)],[31605, 31604])).
% 50.27/33.35 tff(31607,plain,
% 50.27/33.35 (~v236(constB15)),
% 50.27/33.35 inference(unit_resolution,[status(thm)],[31606, 8968, 31603, 31530])).
% 50.27/33.35 tff(31608,plain,
% 50.27/33.35 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB15) | (~v232(constB15)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB15) | (~v232(constB15)))),
% 50.27/33.35 inference(rewrite,[status(thm)],[])).
% 50.27/33.35 tff(31609,plain,
% 50.27/33.35 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB15) | (~v232(constB15)))),
% 50.27/33.35 inference(quant_inst,[status(thm)],[])).
% 50.27/33.35 tff(31610,plain,
% 50.27/33.35 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB15) | (~v232(constB15))),
% 50.27/33.35 inference(modus_ponens,[status(thm)],[31609, 31608])).
% 50.27/33.35 tff(31611,plain,
% 50.27/33.35 (~v232(constB15)),
% 50.27/33.35 inference(unit_resolution,[status(thm)],[31610, 8980, 31607])).
% 50.27/33.35 tff(31612,plain,
% 50.27/33.35 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB15) | v139(constB15) | (~v148(constB15)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB15) | v139(constB15) | (~v148(constB15)))),
% 50.27/33.35 inference(rewrite,[status(thm)],[])).
% 50.27/33.35 tff(31613,plain,
% 50.27/33.35 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB15) | v139(constB15) | (~v148(constB15)))),
% 50.27/33.35 inference(quant_inst,[status(thm)],[])).
% 50.27/33.35 tff(31614,plain,
% 50.27/33.35 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB15) | v139(constB15) | (~v148(constB15))),
% 50.27/33.35 inference(modus_ponens,[status(thm)],[31613, 31612])).
% 50.27/33.35 tff(31615,plain,
% 50.27/33.35 (~v148(constB15)),
% 50.27/33.35 inference(unit_resolution,[status(thm)],[31614, 9016, 31538, 31534])).
% 50.27/33.35 tff(31616,plain,
% 50.27/33.35 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB15) | (~v197(constB15)) | v148(constB15))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB15) | (~v197(constB15)) | v148(constB15))),
% 50.27/33.35 inference(rewrite,[status(thm)],[])).
% 50.27/33.35 tff(31617,plain,
% 50.27/33.35 ((v148(constB15) | (~v197(constB15)) | v252(constB15)) <=> (v252(constB15) | (~v197(constB15)) | v148(constB15))),
% 50.27/33.35 inference(rewrite,[status(thm)],[])).
% 50.27/33.35 tff(31618,plain,
% 50.27/33.35 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB15) | (~v197(constB15)) | v252(constB15))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB15) | (~v197(constB15)) | v148(constB15)))),
% 50.27/33.35 inference(monotonicity,[status(thm)],[31617])).
% 50.27/33.35 tff(31619,plain,
% 50.27/33.35 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB15) | (~v197(constB15)) | v252(constB15))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB15) | (~v197(constB15)) | v148(constB15))),
% 50.27/33.35 inference(transitivity,[status(thm)],[31618, 31616])).
% 50.27/33.35 tff(31620,plain,
% 50.27/33.35 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB15) | (~v197(constB15)) | v252(constB15))),
% 50.27/33.35 inference(quant_inst,[status(thm)],[])).
% 50.27/33.35 tff(31621,plain,
% 50.27/33.35 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB15) | (~v197(constB15)) | v148(constB15)),
% 50.27/33.35 inference(modus_ponens,[status(thm)],[31620, 31619])).
% 50.27/33.35 tff(31622,plain,
% 50.27/33.35 (v252(constB15) | (~v197(constB15))),
% 50.27/33.35 inference(unit_resolution,[status(thm)],[31621, 9033, 31615])).
% 50.27/33.35 tff(31623,plain,
% 50.27/33.35 (v252(constB15)),
% 50.27/33.35 inference(unit_resolution,[status(thm)],[31622, 31515])).
% 50.27/33.35 tff(31624,plain,
% 50.27/33.35 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB15)) | (~v223(constB15, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB15)) | (~v223(constB15, bitIndex3)))),
% 50.27/33.35 inference(rewrite,[status(thm)],[])).
% 50.27/33.35 tff(31625,plain,
% 50.27/33.35 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB15)) | (~v223(constB15, bitIndex3)))),
% 50.27/33.35 inference(quant_inst,[status(thm)],[])).
% 50.27/33.35 tff(31626,plain,
% 50.27/33.35 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB15)) | (~v223(constB15, bitIndex3))),
% 50.27/33.35 inference(modus_ponens,[status(thm)],[31625, 31624])).
% 50.27/33.35 tff(31627,plain,
% 50.27/33.35 (~v223(constB15, bitIndex3)),
% 50.27/33.35 inference(unit_resolution,[status(thm)],[31626, 9048, 31623])).
% 50.27/33.35 tff(31628,plain,
% 50.27/33.35 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB15)) | v223(constB15, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB15)) | v223(constB15, bitIndex3))),
% 50.27/33.35 inference(rewrite,[status(thm)],[])).
% 50.27/33.35 tff(31629,plain,
% 50.27/33.35 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB15)) | v223(constB15, bitIndex3))),
% 50.27/33.35 inference(quant_inst,[status(thm)],[])).
% 50.27/33.35 tff(31630,plain,
% 50.27/33.35 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB15)) | v223(constB15, bitIndex3)),
% 50.27/33.35 inference(modus_ponens,[status(thm)],[31629, 31628])).
% 50.27/33.35 tff(31631,plain,
% 50.27/33.35 (~v237(constB15)),
% 50.27/33.35 inference(unit_resolution,[status(thm)],[31630, 9062, 31627])).
% 50.27/33.35 tff(31632,plain,
% 50.27/33.35 (((~![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)))),
% 50.27/33.35 inference(rewrite,[status(thm)],[])).
% 50.27/33.35 tff(31633,plain,
% 50.27/33.35 ((v237(constB15) | v232(constB15) | (~v248(constB15))) <=> (v232(constB15) | v237(constB15) | (~v248(constB15)))),
% 50.27/33.35 inference(rewrite,[status(thm)],[])).
% 50.27/33.35 tff(31634,plain,
% 50.27/33.35 (((~![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))))),
% 50.27/33.35 inference(monotonicity,[status(thm)],[31633])).
% 50.27/33.35 tff(31635,plain,
% 50.27/33.35 (((~![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)))),
% 50.27/33.35 inference(transitivity,[status(thm)],[31634, 31632])).
% 50.27/33.35 tff(31636,plain,
% 50.27/33.35 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB15) | v232(constB15) | (~v248(constB15)))),
% 50.27/33.35 inference(quant_inst,[status(thm)],[])).
% 50.27/33.35 tff(31637,plain,
% 50.27/33.35 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v232(constB15) | v237(constB15) | (~v248(constB15))),
% 50.27/33.35 inference(modus_ponens,[status(thm)],[31636, 31635])).
% 50.27/33.35 tff(31638,plain,
% 50.27/33.35 (v232(constB15) | (~v248(constB15))),
% 50.27/33.35 inference(unit_resolution,[status(thm)],[31637, 9076, 31631])).
% 50.27/33.35 tff(31639,plain,
% 50.27/33.35 (~v248(constB15)),
% 50.27/33.35 inference(unit_resolution,[status(thm)],[31638, 31611])).
% 50.27/33.35 tff(31640,plain,
% 50.27/33.35 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB15) | (~v244(constB15)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB15) | (~v244(constB15)))),
% 50.27/33.35 inference(rewrite,[status(thm)],[])).
% 50.27/33.35 tff(31641,plain,
% 50.27/33.35 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB15) | (~v244(constB15)))),
% 50.27/33.35 inference(quant_inst,[status(thm)],[])).
% 50.27/33.35 tff(31642,plain,
% 50.27/33.35 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB15) | (~v244(constB15))),
% 50.27/33.35 inference(modus_ponens,[status(thm)],[31641, 31640])).
% 50.27/33.35 tff(31643,plain,
% 50.27/33.35 (~v244(constB15)),
% 50.27/33.35 inference(unit_resolution,[status(thm)],[31642, 11335, 31639])).
% 50.27/33.35 tff(31644,plain,
% 50.27/33.35 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB15) | (~v216(constB15, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB15) | (~v216(constB15, bitIndex1)))),
% 50.27/33.35 inference(rewrite,[status(thm)],[])).
% 50.27/33.35 tff(31645,plain,
% 50.27/33.35 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB15) | (~v216(constB15, bitIndex1)))),
% 50.27/33.35 inference(quant_inst,[status(thm)],[])).
% 50.27/33.35 tff(31646,plain,
% 50.27/33.35 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB15) | (~v216(constB15, bitIndex1))),
% 50.27/33.35 inference(modus_ponens,[status(thm)],[31645, 31644])).
% 50.27/33.35 tff(31647,plain,
% 50.27/33.35 (~v216(constB15, bitIndex1)),
% 50.27/33.35 inference(unit_resolution,[status(thm)],[31646, 11346, 31643])).
% 50.27/33.35 tff(31648,plain,
% 50.27/33.35 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | ((~v254(constB15)) | v216(constB15, bitIndex1))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB15)) | v216(constB15, bitIndex1))),
% 50.27/33.35 inference(rewrite,[status(thm)],[])).
% 50.27/33.35 tff(31649,plain,
% 50.27/33.35 ((v216(constB15, bitIndex1) | (~v254(constB15))) <=> ((~v254(constB15)) | v216(constB15, bitIndex1))),
% 50.27/33.35 inference(rewrite,[status(thm)],[])).
% 50.27/33.35 tff(31650,plain,
% 50.27/33.35 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB15, bitIndex1) | (~v254(constB15)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | ((~v254(constB15)) | v216(constB15, bitIndex1)))),
% 50.27/33.35 inference(monotonicity,[status(thm)],[31649])).
% 50.27/33.35 tff(31651,plain,
% 50.27/33.35 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB15, bitIndex1) | (~v254(constB15)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB15)) | v216(constB15, bitIndex1))),
% 50.27/33.35 inference(transitivity,[status(thm)],[31650, 31648])).
% 50.27/33.35 tff(31652,plain,
% 50.27/33.35 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB15, bitIndex1) | (~v254(constB15)))),
% 50.27/33.35 inference(quant_inst,[status(thm)],[])).
% 50.27/33.35 tff(31653,plain,
% 50.27/33.35 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB15)) | v216(constB15, bitIndex1)),
% 50.27/33.35 inference(modus_ponens,[status(thm)],[31652, 31651])).
% 50.27/33.35 tff(31654,plain,
% 50.27/33.35 (~v254(constB15)),
% 50.27/33.35 inference(unit_resolution,[status(thm)],[31653, 11357, 31647])).
% 50.27/33.35 tff(31655,plain,
% 50.27/33.35 (((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB15) | (~v221(constB15)))) <=> ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB15) | (~v221(constB15)))),
% 50.27/33.35 inference(rewrite,[status(thm)],[])).
% 50.27/33.35 tff(31656,plain,
% 50.27/33.35 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB15) | (~v221(constB15)))),
% 50.27/33.35 inference(quant_inst,[status(thm)],[])).
% 50.27/33.35 tff(31657,plain,
% 50.27/33.35 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB15) | (~v221(constB15))),
% 50.27/33.35 inference(modus_ponens,[status(thm)],[31656, 31655])).
% 50.27/33.35 tff(31658,plain,
% 50.27/33.35 (~v221(constB15)),
% 50.27/33.35 inference(unit_resolution,[status(thm)],[31657, 11505, 31603])).
% 50.27/33.35 tff(31659,plain,
% 50.27/33.35 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB15) | (~v231(constB15)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB15) | (~v231(constB15)))),
% 50.27/33.35 inference(rewrite,[status(thm)],[])).
% 50.27/33.35 tff(31660,plain,
% 50.27/33.35 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB15) | (~v231(constB15)))),
% 50.27/33.35 inference(quant_inst,[status(thm)],[])).
% 50.27/33.35 tff(31661,plain,
% 50.27/33.35 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB15) | (~v231(constB15))),
% 50.27/33.35 inference(modus_ponens,[status(thm)],[31660, 31659])).
% 50.27/33.35 tff(31662,plain,
% 50.27/33.35 (~v231(constB15)),
% 50.27/33.35 inference(unit_resolution,[status(thm)],[31661, 11162, 31631])).
% 50.27/33.35 tff(31663,plain,
% 50.27/33.35 (((~![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)))),
% 50.27/33.35 inference(rewrite,[status(thm)],[])).
% 50.27/33.35 tff(31664,plain,
% 50.27/33.35 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB15) | v231(constB15) | (~v243(constB15)))),
% 50.27/33.35 inference(quant_inst,[status(thm)],[])).
% 50.27/33.35 tff(31665,plain,
% 50.27/33.35 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB15) | v231(constB15) | (~v243(constB15))),
% 50.27/33.35 inference(modus_ponens,[status(thm)],[31664, 31663])).
% 50.27/33.35 tff(31666,plain,
% 50.27/33.35 (~v243(constB15)),
% 50.27/33.35 inference(unit_resolution,[status(thm)],[31665, 11206, 31662, 31658])).
% 50.27/33.35 tff(31667,plain,
% 50.27/33.35 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB15) | v255(constB15))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB15) | v255(constB15))),
% 50.27/33.35 inference(rewrite,[status(thm)],[])).
% 50.27/33.35 tff(31668,plain,
% 50.27/33.35 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB15) | v255(constB15))),
% 50.27/33.35 inference(quant_inst,[status(thm)],[])).
% 50.27/33.35 tff(31669,plain,
% 50.27/33.35 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB15) | v255(constB15)),
% 50.27/33.35 inference(modus_ponens,[status(thm)],[31668, 31667])).
% 50.27/33.35 tff(31670,plain,
% 50.27/33.35 (v255(constB15)),
% 50.27/33.35 inference(unit_resolution,[status(thm)],[31669, 11222, 31666])).
% 50.27/33.35 tff(31671,plain,
% 50.27/33.35 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB15)) | (~v216(constB15, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB15)) | (~v216(constB15, bitIndex2)))),
% 50.27/33.35 inference(rewrite,[status(thm)],[])).
% 50.27/33.35 tff(31672,plain,
% 50.27/33.35 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB15)) | (~v216(constB15, bitIndex2)))),
% 50.27/33.35 inference(quant_inst,[status(thm)],[])).
% 50.27/33.35 tff(31673,plain,
% 50.27/33.35 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB15)) | (~v216(constB15, bitIndex2))),
% 50.27/33.35 inference(modus_ponens,[status(thm)],[31672, 31671])).
% 50.27/33.35 tff(31674,plain,
% 50.27/33.35 (~v216(constB15, bitIndex2)),
% 50.27/33.35 inference(unit_resolution,[status(thm)],[31673, 11237, 31670])).
% 50.27/33.35 tff(31675,plain,
% 50.27/33.35 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB15)) | v216(constB15, bitIndex2) | v254(constB15))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB15)) | v216(constB15, bitIndex2) | v254(constB15))),
% 50.27/33.35 inference(rewrite,[status(thm)],[])).
% 50.27/33.35 tff(31676,plain,
% 50.27/33.35 ((v216(constB15, bitIndex2) | v254(constB15) | (~v215(constB15))) <=> ((~v215(constB15)) | v216(constB15, bitIndex2) | v254(constB15))),
% 50.27/33.35 inference(rewrite,[status(thm)],[])).
% 50.27/33.35 tff(31677,plain,
% 50.27/33.35 (((~![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)) | v216(constB15, bitIndex2) | v254(constB15)))),
% 50.27/33.36 inference(monotonicity,[status(thm)],[31676])).
% 50.27/33.36 tff(31678,plain,
% 50.27/33.36 (((~![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)) | v216(constB15, bitIndex2) | v254(constB15))),
% 50.27/33.36 inference(transitivity,[status(thm)],[31677, 31675])).
% 50.27/33.36 tff(31679,plain,
% 50.27/33.36 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB15, bitIndex2) | v254(constB15) | (~v215(constB15)))),
% 50.27/33.36 inference(quant_inst,[status(thm)],[])).
% 50.27/33.36 tff(31680,plain,
% 50.27/33.36 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB15)) | v216(constB15, bitIndex2) | v254(constB15)),
% 50.27/33.36 inference(modus_ponens,[status(thm)],[31679, 31678])).
% 50.27/33.36 tff(31681,plain,
% 50.27/33.36 ((~v215(constB15)) | v254(constB15)),
% 50.27/33.36 inference(unit_resolution,[status(thm)],[31680, 11278, 31674])).
% 50.27/33.36 tff(31682,plain,
% 50.27/33.36 (~v215(constB15)),
% 50.27/33.36 inference(unit_resolution,[status(thm)],[31681, 31654])).
% 50.27/33.36 tff(31683,plain,
% 50.27/33.36 ($false),
% 50.27/33.36 inference(unit_resolution,[status(thm)],[31682, 31480])).
% 50.27/33.36 tff(31684,plain,(~(constB15 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.27/33.36 tff(31685,assumption,(constB7 = sK0_VarCurr), introduced(assumption)).
% 50.27/33.36 tff(31686,plain,
% 50.27/33.36 (v215(constB7) <=> v215(sK0_VarCurr)),
% 50.27/33.36 inference(monotonicity,[status(thm)],[31685])).
% 50.27/33.36 tff(31687,plain,
% 50.27/33.36 (v215(sK0_VarCurr) <=> v215(constB7)),
% 50.27/33.36 inference(symmetry,[status(thm)],[31686])).
% 50.27/33.36 tff(31688,plain,
% 50.27/33.36 (v215(constB7)),
% 50.27/33.36 inference(modus_ponens,[status(thm)],[11268, 31687])).
% 50.27/33.36 tff(31689,plain,
% 50.27/33.36 (v127(constB5, bitIndex0)),
% 50.27/33.36 inference(unit_resolution,[status(thm)],[930, 27])).
% 50.27/33.36 tff(31690,plain,
% 50.27/33.36 (v129(constB6, bitIndex0)),
% 50.27/33.36 inference(unit_resolution,[status(thm)],[948, 31689])).
% 50.27/33.36 tff(31691,plain,
% 50.27/33.36 (v90(constB6, bitIndex0)),
% 50.27/33.36 inference(unit_resolution,[status(thm)],[1095, 31690])).
% 50.27/33.36 tff(31692,plain,
% 50.27/33.36 (v90(constB7, bitIndex0)),
% 50.27/33.36 inference(unit_resolution,[status(thm)],[1132, 31691])).
% 50.27/33.36 tff(31693,plain,
% 50.27/33.36 (((~![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))),
% 50.27/33.36 inference(rewrite,[status(thm)],[])).
% 50.27/33.36 tff(31694,plain,
% 50.27/33.36 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB7, bitIndex0)) | v88(constB7, bitIndex0))),
% 50.27/33.36 inference(quant_inst,[status(thm)],[])).
% 50.27/33.36 tff(31695,plain,
% 50.27/33.36 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB7, bitIndex0)) | v88(constB7, bitIndex0)),
% 50.27/33.36 inference(modus_ponens,[status(thm)],[31694, 31693])).
% 50.27/33.36 tff(31696,plain,
% 50.27/33.36 (v88(constB7, bitIndex0)),
% 50.27/33.36 inference(unit_resolution,[status(thm)],[31695, 8662, 31692])).
% 50.27/33.36 tff(31697,plain,
% 50.27/33.36 (((~![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)))),
% 50.27/33.36 inference(rewrite,[status(thm)],[])).
% 50.27/33.36 tff(31698,plain,
% 50.27/33.36 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB7, bitIndex1) | (~v88(constB7, bitIndex1)))),
% 50.27/33.36 inference(quant_inst,[status(thm)],[])).
% 50.27/33.36 tff(31699,plain,
% 50.27/33.36 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB7, bitIndex1) | (~v88(constB7, bitIndex1))),
% 50.27/33.36 inference(modus_ponens,[status(thm)],[31698, 31697])).
% 50.27/33.36 tff(31700,plain,
% 50.27/33.36 (~v88(constB7, bitIndex1)),
% 50.27/33.36 inference(unit_resolution,[status(thm)],[31699, 10126, 3844])).
% 50.27/33.36 tff(31701,plain,
% 50.27/33.36 (((~![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)))),
% 50.27/33.36 inference(rewrite,[status(thm)],[])).
% 50.27/33.36 tff(31702,plain,
% 50.27/33.36 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB7, bitIndex2) | (~v88(constB7, bitIndex2)))),
% 50.27/33.36 inference(quant_inst,[status(thm)],[])).
% 50.27/33.36 tff(31703,plain,
% 50.27/33.36 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB7, bitIndex2) | (~v88(constB7, bitIndex2))),
% 50.27/33.36 inference(modus_ponens,[status(thm)],[31702, 31701])).
% 50.27/33.36 tff(31704,plain,
% 50.27/33.36 (~v88(constB7, bitIndex2)),
% 50.27/33.36 inference(unit_resolution,[status(thm)],[31703, 8769, 1275])).
% 50.27/33.36 tff(31705,plain,
% 50.27/33.36 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB7, bitIndex1) | v88(constB7, bitIndex2) | (~v88(constB7, bitIndex0)) | v140(constB7))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB7, bitIndex1) | v88(constB7, bitIndex2) | (~v88(constB7, bitIndex0)) | v140(constB7))),
% 50.27/33.36 inference(rewrite,[status(thm)],[])).
% 50.27/33.36 tff(31706,plain,
% 50.27/33.36 ((v88(constB7, bitIndex2) | v88(constB7, bitIndex1) | (~v88(constB7, bitIndex0)) | v140(constB7)) <=> (v88(constB7, bitIndex1) | v88(constB7, bitIndex2) | (~v88(constB7, bitIndex0)) | v140(constB7))),
% 50.27/33.36 inference(rewrite,[status(thm)],[])).
% 50.27/33.36 tff(31707,plain,
% 50.27/33.36 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB7, bitIndex2) | v88(constB7, bitIndex1) | (~v88(constB7, bitIndex0)) | v140(constB7))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB7, bitIndex1) | v88(constB7, bitIndex2) | (~v88(constB7, bitIndex0)) | v140(constB7)))),
% 50.27/33.36 inference(monotonicity,[status(thm)],[31706])).
% 50.27/33.36 tff(31708,plain,
% 50.27/33.36 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB7, bitIndex2) | v88(constB7, bitIndex1) | (~v88(constB7, bitIndex0)) | v140(constB7))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB7, bitIndex1) | v88(constB7, bitIndex2) | (~v88(constB7, bitIndex0)) | v140(constB7))),
% 50.27/33.36 inference(transitivity,[status(thm)],[31707, 31705])).
% 50.27/33.36 tff(31709,plain,
% 50.27/33.36 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB7, bitIndex2) | v88(constB7, bitIndex1) | (~v88(constB7, bitIndex0)) | v140(constB7))),
% 50.27/33.36 inference(quant_inst,[status(thm)],[])).
% 50.27/33.36 tff(31710,plain,
% 50.27/33.36 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB7, bitIndex1) | v88(constB7, bitIndex2) | (~v88(constB7, bitIndex0)) | v140(constB7)),
% 50.27/33.36 inference(modus_ponens,[status(thm)],[31709, 31708])).
% 50.27/33.36 tff(31711,plain,
% 50.27/33.36 (v88(constB7, bitIndex1) | (~v88(constB7, bitIndex0)) | v140(constB7)),
% 50.27/33.36 inference(unit_resolution,[status(thm)],[31710, 10178, 31704])).
% 50.27/33.36 tff(31712,plain,
% 50.27/33.36 (v140(constB7)),
% 50.27/33.36 inference(unit_resolution,[status(thm)],[31711, 31700, 31696])).
% 50.27/33.36 tff(31713,plain,
% 50.27/33.36 (((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB7) | (~v140(constB7)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB7) | (~v140(constB7)))),
% 50.27/33.36 inference(rewrite,[status(thm)],[])).
% 50.27/33.36 tff(31714,plain,
% 50.27/33.36 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB7) | (~v140(constB7)))),
% 50.27/33.36 inference(quant_inst,[status(thm)],[])).
% 50.27/33.36 tff(31715,plain,
% 50.27/33.36 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB7) | (~v140(constB7))),
% 50.27/33.36 inference(modus_ponens,[status(thm)],[31714, 31713])).
% 50.27/33.36 tff(31716,plain,
% 50.27/33.36 (v200(constB7)),
% 50.27/33.36 inference(unit_resolution,[status(thm)],[31715, 10192, 31712])).
% 50.27/33.36 tff(31717,plain,
% 50.27/33.36 (((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB7) | (~v200(constB7)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB7) | (~v200(constB7)))),
% 50.27/33.36 inference(rewrite,[status(thm)],[])).
% 50.27/33.36 tff(31718,plain,
% 50.27/33.36 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB7) | (~v200(constB7)))),
% 50.27/33.36 inference(quant_inst,[status(thm)],[])).
% 50.27/33.36 tff(31719,plain,
% 50.27/33.36 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB7) | (~v200(constB7))),
% 50.27/33.36 inference(modus_ponens,[status(thm)],[31718, 31717])).
% 50.27/33.36 tff(31720,plain,
% 50.27/33.36 (v199(constB7)),
% 50.27/33.36 inference(unit_resolution,[status(thm)],[31719, 10203, 31716])).
% 50.27/33.36 tff(31721,plain,
% 50.27/33.36 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB7) | (~v199(constB7)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB7) | (~v199(constB7)))),
% 50.27/33.36 inference(rewrite,[status(thm)],[])).
% 50.27/33.36 tff(31722,plain,
% 50.27/33.36 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB7) | (~v199(constB7)))),
% 50.27/33.36 inference(quant_inst,[status(thm)],[])).
% 50.27/33.36 tff(31723,plain,
% 50.27/33.36 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB7) | (~v199(constB7))),
% 50.27/33.36 inference(modus_ponens,[status(thm)],[31722, 31721])).
% 50.27/33.36 tff(31724,plain,
% 50.27/33.36 (v198(constB7)),
% 50.27/33.36 inference(unit_resolution,[status(thm)],[31723, 8809, 31720])).
% 50.27/33.36 tff(31725,plain,
% 50.27/33.36 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB7)) | (~v201(constB7)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB7)) | (~v201(constB7)))),
% 50.27/33.36 inference(rewrite,[status(thm)],[])).
% 50.27/33.36 tff(31726,plain,
% 50.27/33.36 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB7)) | (~v201(constB7)))),
% 50.27/33.36 inference(quant_inst,[status(thm)],[])).
% 50.27/33.36 tff(31727,plain,
% 50.27/33.36 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB7)) | (~v201(constB7))),
% 50.27/33.36 inference(modus_ponens,[status(thm)],[31726, 31725])).
% 50.27/33.36 tff(31728,plain,
% 50.27/33.36 (~v201(constB7)),
% 50.27/33.36 inference(unit_resolution,[status(thm)],[31727, 8823, 31724])).
% 50.27/33.36 tff(31729,plain,
% 50.27/33.36 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB7) | (~v198(constB7)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB7) | (~v198(constB7)))),
% 50.27/33.36 inference(rewrite,[status(thm)],[])).
% 50.27/33.36 tff(31730,plain,
% 50.27/33.36 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB7) | (~v198(constB7)))),
% 50.27/33.36 inference(quant_inst,[status(thm)],[])).
% 50.27/33.36 tff(31731,plain,
% 50.27/33.36 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB7) | (~v198(constB7))),
% 50.27/33.36 inference(modus_ponens,[status(thm)],[31730, 31729])).
% 50.27/33.36 tff(31732,plain,
% 50.27/33.36 (v197(constB7)),
% 50.27/33.36 inference(unit_resolution,[status(thm)],[31731, 8834, 31724])).
% 50.27/33.36 tff(31733,plain,
% 50.27/33.36 (((~![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))),
% 50.27/33.36 inference(rewrite,[status(thm)],[])).
% 50.27/33.36 tff(31734,plain,
% 50.27/33.36 (((~v197(constB7)) | v201(constB7) | v227(constB7)) <=> (v227(constB7) | (~v197(constB7)) | v201(constB7))),
% 50.27/33.36 inference(rewrite,[status(thm)],[])).
% 50.27/33.36 tff(31735,plain,
% 50.27/33.36 (((~![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)))),
% 50.27/33.36 inference(monotonicity,[status(thm)],[31734])).
% 50.27/33.36 tff(31736,plain,
% 50.27/33.36 (((~![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))),
% 50.27/33.36 inference(transitivity,[status(thm)],[31735, 31733])).
% 50.27/33.36 tff(31737,plain,
% 50.27/33.36 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB7)) | v201(constB7) | v227(constB7))),
% 50.27/33.36 inference(quant_inst,[status(thm)],[])).
% 50.27/33.36 tff(31738,plain,
% 50.27/33.36 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB7) | (~v197(constB7)) | v201(constB7)),
% 50.27/33.36 inference(modus_ponens,[status(thm)],[31737, 31736])).
% 50.27/33.36 tff(31739,plain,
% 50.27/33.36 (v227(constB7)),
% 50.27/33.36 inference(unit_resolution,[status(thm)],[31738, 8848, 31732, 31728])).
% 50.27/33.36 tff(31740,plain,
% 50.27/33.36 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB7)) | (~v223(constB7, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB7)) | (~v223(constB7, bitIndex0)))),
% 50.27/33.36 inference(rewrite,[status(thm)],[])).
% 50.27/33.36 tff(31741,plain,
% 50.27/33.36 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB7)) | (~v223(constB7, bitIndex0)))),
% 50.27/33.36 inference(quant_inst,[status(thm)],[])).
% 50.27/33.36 tff(31742,plain,
% 50.27/33.36 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB7)) | (~v223(constB7, bitIndex0))),
% 50.27/33.36 inference(modus_ponens,[status(thm)],[31741, 31740])).
% 50.27/33.36 tff(31743,plain,
% 50.27/33.36 (~v223(constB7, bitIndex0)),
% 50.27/33.36 inference(unit_resolution,[status(thm)],[31742, 8862, 31739])).
% 50.27/33.36 tff(31744,plain,
% 50.27/33.36 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB7)) | (~v199(constB7)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB7)) | (~v199(constB7)))),
% 50.27/33.36 inference(rewrite,[status(thm)],[])).
% 50.27/33.36 tff(31745,plain,
% 50.27/33.36 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB7)) | (~v199(constB7)))),
% 50.27/33.36 inference(quant_inst,[status(thm)],[])).
% 50.27/33.36 tff(31746,plain,
% 50.27/33.36 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB7)) | (~v199(constB7))),
% 50.27/33.36 inference(modus_ponens,[status(thm)],[31745, 31744])).
% 50.27/33.36 tff(31747,plain,
% 50.27/33.36 (~v183(constB7)),
% 50.27/33.36 inference(unit_resolution,[status(thm)],[31746, 8873, 31720])).
% 50.27/33.36 tff(31748,plain,
% 50.27/33.36 (((~![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)))),
% 50.27/33.36 inference(rewrite,[status(thm)],[])).
% 50.27/33.36 tff(31749,plain,
% 50.27/33.36 (((~v197(constB7)) | v183(constB7) | v228(constB7)) <=> (v228(constB7) | v183(constB7) | (~v197(constB7)))),
% 50.27/33.36 inference(rewrite,[status(thm)],[])).
% 50.27/33.36 tff(31750,plain,
% 50.27/33.36 (((~![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))))),
% 50.27/33.36 inference(monotonicity,[status(thm)],[31749])).
% 50.27/33.36 tff(31751,plain,
% 50.27/33.36 (((~![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)))),
% 50.27/33.36 inference(transitivity,[status(thm)],[31750, 31748])).
% 50.27/33.36 tff(31752,plain,
% 50.27/33.36 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB7)) | v183(constB7) | v228(constB7))),
% 50.27/33.36 inference(quant_inst,[status(thm)],[])).
% 50.27/33.36 tff(31753,plain,
% 50.27/33.36 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB7) | v183(constB7) | (~v197(constB7))),
% 50.27/33.36 inference(modus_ponens,[status(thm)],[31752, 31751])).
% 50.27/33.36 tff(31754,plain,
% 50.27/33.36 (v228(constB7)),
% 50.27/33.36 inference(unit_resolution,[status(thm)],[31753, 8887, 31732, 31747])).
% 50.27/33.36 tff(31755,plain,
% 50.27/33.36 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB7)) | (~v223(constB7, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB7)) | (~v223(constB7, bitIndex1)))),
% 50.27/33.36 inference(rewrite,[status(thm)],[])).
% 50.27/33.36 tff(31756,plain,
% 50.27/33.36 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB7)) | (~v223(constB7, bitIndex1)))),
% 50.27/33.36 inference(quant_inst,[status(thm)],[])).
% 50.27/33.36 tff(31757,plain,
% 50.27/33.36 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB7)) | (~v223(constB7, bitIndex1))),
% 50.27/33.36 inference(modus_ponens,[status(thm)],[31756, 31755])).
% 50.27/33.36 tff(31758,plain,
% 50.27/33.36 (~v223(constB7, bitIndex1)),
% 50.27/33.36 inference(unit_resolution,[status(thm)],[31757, 8901, 31754])).
% 50.27/33.36 tff(31759,plain,
% 50.27/33.36 (((~![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)))),
% 50.27/33.36 inference(rewrite,[status(thm)],[])).
% 50.27/33.36 tff(31760,plain,
% 50.27/33.36 ((v223(constB7, bitIndex0) | v223(constB7, bitIndex1) | (~v229(constB7))) <=> (v223(constB7, bitIndex1) | v223(constB7, bitIndex0) | (~v229(constB7)))),
% 50.27/33.36 inference(rewrite,[status(thm)],[])).
% 50.27/33.36 tff(31761,plain,
% 50.27/33.36 (((~![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))))),
% 50.27/33.36 inference(monotonicity,[status(thm)],[31760])).
% 50.27/33.36 tff(31762,plain,
% 50.27/33.36 (((~![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)))),
% 50.27/33.36 inference(transitivity,[status(thm)],[31761, 31759])).
% 50.27/33.36 tff(31763,plain,
% 50.27/33.36 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB7, bitIndex0) | v223(constB7, bitIndex1) | (~v229(constB7)))),
% 50.27/33.36 inference(quant_inst,[status(thm)],[])).
% 50.27/33.36 tff(31764,plain,
% 50.27/33.36 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB7, bitIndex1) | v223(constB7, bitIndex0) | (~v229(constB7))),
% 50.27/33.36 inference(modus_ponens,[status(thm)],[31763, 31762])).
% 50.27/33.36 tff(31765,plain,
% 50.27/33.36 (~v229(constB7)),
% 50.27/33.36 inference(unit_resolution,[status(thm)],[31764, 8915, 31758, 31743])).
% 50.27/33.36 tff(31766,plain,
% 50.27/33.36 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB7) | (~v225(constB7)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB7) | (~v225(constB7)))),
% 50.27/33.36 inference(rewrite,[status(thm)],[])).
% 50.27/33.36 tff(31767,plain,
% 50.27/33.36 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB7) | (~v225(constB7)))),
% 50.27/33.36 inference(quant_inst,[status(thm)],[])).
% 50.27/33.36 tff(31768,plain,
% 50.27/33.36 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB7) | (~v225(constB7))),
% 50.27/33.36 inference(modus_ponens,[status(thm)],[31767, 31766])).
% 50.27/33.36 tff(31769,plain,
% 50.27/33.36 (~v225(constB7)),
% 50.27/33.36 inference(unit_resolution,[status(thm)],[31768, 8929, 31765])).
% 50.27/33.36 tff(31770,plain,
% 50.27/33.36 (((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB7)) | (~v200(constB7)))) <=> ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB7)) | (~v200(constB7)))),
% 50.27/33.36 inference(rewrite,[status(thm)],[])).
% 50.27/33.36 tff(31771,plain,
% 50.27/33.36 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB7)) | (~v200(constB7)))),
% 50.27/33.36 inference(quant_inst,[status(thm)],[])).
% 50.27/33.36 tff(31772,plain,
% 50.27/33.36 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB7)) | (~v200(constB7))),
% 50.27/33.36 inference(modus_ponens,[status(thm)],[31771, 31770])).
% 50.27/33.36 tff(31773,plain,
% 50.27/33.36 (~v166(constB7)),
% 50.27/33.36 inference(unit_resolution,[status(thm)],[31772, 10263, 31716])).
% 50.27/33.36 tff(31774,plain,
% 50.27/33.36 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB7) | v166(constB7) | (~v197(constB7)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB7) | v166(constB7) | (~v197(constB7)))),
% 50.27/33.36 inference(rewrite,[status(thm)],[])).
% 50.27/33.36 tff(31775,plain,
% 50.27/33.36 (((~v197(constB7)) | v166(constB7) | v241(constB7)) <=> (v241(constB7) | v166(constB7) | (~v197(constB7)))),
% 50.27/33.36 inference(rewrite,[status(thm)],[])).
% 50.27/33.36 tff(31776,plain,
% 50.27/33.36 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB7)) | v166(constB7) | v241(constB7))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB7) | v166(constB7) | (~v197(constB7))))),
% 50.27/33.36 inference(monotonicity,[status(thm)],[31775])).
% 50.27/33.36 tff(31777,plain,
% 50.27/33.36 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB7)) | v166(constB7) | v241(constB7))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB7) | v166(constB7) | (~v197(constB7)))),
% 50.27/33.36 inference(transitivity,[status(thm)],[31776, 31774])).
% 50.27/33.36 tff(31778,plain,
% 50.27/33.36 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB7)) | v166(constB7) | v241(constB7))),
% 50.27/33.36 inference(quant_inst,[status(thm)],[])).
% 50.27/33.36 tff(31779,plain,
% 50.27/33.36 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB7) | v166(constB7) | (~v197(constB7))),
% 50.27/33.36 inference(modus_ponens,[status(thm)],[31778, 31777])).
% 50.27/33.36 tff(31780,plain,
% 50.27/33.36 (v241(constB7) | (~v197(constB7))),
% 50.27/33.36 inference(unit_resolution,[status(thm)],[31779, 10277, 31773])).
% 50.27/33.36 tff(31781,plain,
% 50.27/33.36 (v241(constB7)),
% 50.27/33.36 inference(unit_resolution,[status(thm)],[31780, 31732])).
% 50.27/33.36 tff(31782,plain,
% 50.27/33.36 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB7)) | (~v223(constB7, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB7)) | (~v223(constB7, bitIndex2)))),
% 50.27/33.36 inference(rewrite,[status(thm)],[])).
% 50.27/33.36 tff(31783,plain,
% 50.27/33.36 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB7)) | (~v223(constB7, bitIndex2)))),
% 50.27/33.36 inference(quant_inst,[status(thm)],[])).
% 50.27/33.36 tff(31784,plain,
% 50.27/33.36 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB7)) | (~v223(constB7, bitIndex2))),
% 50.27/33.36 inference(modus_ponens,[status(thm)],[31783, 31782])).
% 50.27/33.36 tff(31785,plain,
% 50.27/33.36 (~v223(constB7, bitIndex2)),
% 50.27/33.36 inference(unit_resolution,[status(thm)],[31784, 10292, 31781])).
% 50.27/33.36 tff(31786,plain,
% 50.27/33.36 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v223(constB7, bitIndex2) | (~v242(constB7)) | v225(constB7))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v223(constB7, bitIndex2) | (~v242(constB7)) | v225(constB7))),
% 50.27/33.36 inference(rewrite,[status(thm)],[])).
% 50.27/33.36 tff(31787,plain,
% 50.27/33.36 ((v225(constB7) | v223(constB7, bitIndex2) | (~v242(constB7))) <=> (v223(constB7, bitIndex2) | (~v242(constB7)) | v225(constB7))),
% 50.27/33.36 inference(rewrite,[status(thm)],[])).
% 50.27/33.36 tff(31788,plain,
% 50.27/33.36 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB7) | v223(constB7, bitIndex2) | (~v242(constB7)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v223(constB7, bitIndex2) | (~v242(constB7)) | v225(constB7)))),
% 50.27/33.36 inference(monotonicity,[status(thm)],[31787])).
% 50.27/33.36 tff(31789,plain,
% 50.27/33.36 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB7) | v223(constB7, bitIndex2) | (~v242(constB7)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v223(constB7, bitIndex2) | (~v242(constB7)) | v225(constB7))),
% 50.27/33.36 inference(transitivity,[status(thm)],[31788, 31786])).
% 50.27/33.36 tff(31790,plain,
% 50.27/33.36 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB7) | v223(constB7, bitIndex2) | (~v242(constB7)))),
% 50.27/33.36 inference(quant_inst,[status(thm)],[])).
% 50.27/33.36 tff(31791,plain,
% 50.27/33.36 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v223(constB7, bitIndex2) | (~v242(constB7)) | v225(constB7)),
% 50.27/33.36 inference(modus_ponens,[status(thm)],[31790, 31789])).
% 50.27/33.36 tff(31792,plain,
% 50.27/33.36 ((~v242(constB7)) | v225(constB7)),
% 50.27/33.36 inference(unit_resolution,[status(thm)],[31791, 10306, 31785])).
% 50.27/33.36 tff(31793,plain,
% 50.27/33.36 (~v242(constB7)),
% 50.27/33.36 inference(unit_resolution,[status(thm)],[31792, 31769])).
% 50.27/33.36 tff(31794,plain,
% 50.27/33.36 (((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB7) | (~v238(constB7)))) <=> ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB7) | (~v238(constB7)))),
% 50.27/33.36 inference(rewrite,[status(thm)],[])).
% 50.27/33.36 tff(31795,plain,
% 50.27/33.36 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB7) | (~v238(constB7)))),
% 50.27/33.36 inference(quant_inst,[status(thm)],[])).
% 50.27/33.36 tff(31796,plain,
% 50.27/33.36 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB7) | (~v238(constB7))),
% 50.27/33.36 inference(modus_ponens,[status(thm)],[31795, 31794])).
% 50.27/33.36 tff(31797,plain,
% 50.27/33.36 (~v238(constB7)),
% 50.27/33.36 inference(unit_resolution,[status(thm)],[31796, 10318, 31793])).
% 50.27/33.36 tff(31798,plain,
% 50.27/33.36 (((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB7) | (~v237(constB7)))) <=> ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB7) | (~v237(constB7)))),
% 50.27/33.36 inference(rewrite,[status(thm)],[])).
% 50.27/33.36 tff(31799,plain,
% 50.27/33.36 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB7) | (~v237(constB7)))),
% 50.27/33.36 inference(quant_inst,[status(thm)],[])).
% 50.27/33.36 tff(31800,plain,
% 50.27/33.36 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB7) | (~v237(constB7))),
% 50.27/33.36 inference(modus_ponens,[status(thm)],[31799, 31798])).
% 50.27/33.36 tff(31801,plain,
% 50.27/33.36 (~v237(constB7)),
% 50.27/33.36 inference(unit_resolution,[status(thm)],[31800, 10329, 31797])).
% 50.27/33.36 tff(31802,plain,
% 50.27/33.36 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB7)) | v223(constB7, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB7)) | v223(constB7, bitIndex2))),
% 50.27/33.36 inference(rewrite,[status(thm)],[])).
% 50.27/33.36 tff(31803,plain,
% 50.27/33.36 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB7)) | v223(constB7, bitIndex2))),
% 50.27/33.36 inference(quant_inst,[status(thm)],[])).
% 50.27/33.36 tff(31804,plain,
% 50.27/33.36 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB7)) | v223(constB7, bitIndex2)),
% 50.27/33.36 inference(modus_ponens,[status(thm)],[31803, 31802])).
% 50.27/33.36 tff(31805,plain,
% 50.27/33.36 (~v224(constB7)),
% 50.27/33.36 inference(unit_resolution,[status(thm)],[31804, 10343, 31785])).
% 50.27/33.36 tff(31806,plain,
% 50.27/33.36 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB7)) | v223(constB7, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB7)) | v223(constB7, bitIndex1))),
% 50.27/33.36 inference(rewrite,[status(thm)],[])).
% 50.27/33.36 tff(31807,plain,
% 50.27/33.36 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB7)) | v223(constB7, bitIndex1))),
% 50.27/33.36 inference(quant_inst,[status(thm)],[])).
% 50.27/33.36 tff(31808,plain,
% 50.27/33.36 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB7)) | v223(constB7, bitIndex1)),
% 50.27/33.36 inference(modus_ponens,[status(thm)],[31807, 31806])).
% 50.27/33.36 tff(31809,plain,
% 50.27/33.36 (~v222(constB7)),
% 50.27/33.36 inference(unit_resolution,[status(thm)],[31808, 8954, 31758])).
% 50.27/33.36 tff(31810,plain,
% 50.27/33.36 (((~![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)))),
% 50.27/33.36 inference(rewrite,[status(thm)],[])).
% 50.27/33.36 tff(31811,plain,
% 50.27/33.36 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB7) | v224(constB7) | (~v236(constB7)))),
% 50.27/33.36 inference(quant_inst,[status(thm)],[])).
% 50.27/33.36 tff(31812,plain,
% 50.27/33.36 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB7) | v224(constB7) | (~v236(constB7))),
% 50.27/33.36 inference(modus_ponens,[status(thm)],[31811, 31810])).
% 50.27/33.36 tff(31813,plain,
% 50.27/33.36 (~v236(constB7)),
% 50.27/33.36 inference(unit_resolution,[status(thm)],[31812, 8968, 31809, 31805])).
% 50.27/33.36 tff(31814,plain,
% 50.27/33.36 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB7) | (~v232(constB7)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB7) | (~v232(constB7)))),
% 50.27/33.36 inference(rewrite,[status(thm)],[])).
% 50.27/33.36 tff(31815,plain,
% 50.27/33.36 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB7) | (~v232(constB7)))),
% 50.27/33.36 inference(quant_inst,[status(thm)],[])).
% 50.27/33.36 tff(31816,plain,
% 50.27/33.36 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB7) | (~v232(constB7))),
% 50.27/33.36 inference(modus_ponens,[status(thm)],[31815, 31814])).
% 50.27/33.36 tff(31817,plain,
% 50.27/33.36 (~v232(constB7)),
% 50.27/33.36 inference(unit_resolution,[status(thm)],[31816, 8980, 31813])).
% 50.27/33.36 tff(31818,plain,
% 50.27/33.36 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB7) | (~v248(constB7)) | v232(constB7))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB7) | (~v248(constB7)) | v232(constB7))),
% 50.27/33.36 inference(rewrite,[status(thm)],[])).
% 50.27/33.36 tff(31819,plain,
% 50.27/33.36 ((v237(constB7) | v232(constB7) | (~v248(constB7))) <=> (v237(constB7) | (~v248(constB7)) | v232(constB7))),
% 50.27/33.36 inference(rewrite,[status(thm)],[])).
% 50.27/33.36 tff(31820,plain,
% 50.27/33.36 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB7) | v232(constB7) | (~v248(constB7)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB7) | (~v248(constB7)) | v232(constB7)))),
% 50.27/33.36 inference(monotonicity,[status(thm)],[31819])).
% 50.27/33.36 tff(31821,plain,
% 50.27/33.36 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB7) | v232(constB7) | (~v248(constB7)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB7) | (~v248(constB7)) | v232(constB7))),
% 50.27/33.36 inference(transitivity,[status(thm)],[31820, 31818])).
% 50.27/33.36 tff(31822,plain,
% 50.27/33.36 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB7) | v232(constB7) | (~v248(constB7)))),
% 50.27/33.36 inference(quant_inst,[status(thm)],[])).
% 50.27/33.36 tff(31823,plain,
% 50.27/33.36 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB7) | (~v248(constB7)) | v232(constB7)),
% 50.27/33.36 inference(modus_ponens,[status(thm)],[31822, 31821])).
% 50.27/33.36 tff(31824,plain,
% 50.27/33.36 (v237(constB7) | (~v248(constB7))),
% 50.27/33.36 inference(unit_resolution,[status(thm)],[31823, 9076, 31817])).
% 50.27/33.36 tff(31825,plain,
% 50.27/33.36 (~v248(constB7)),
% 50.27/33.36 inference(unit_resolution,[status(thm)],[31824, 31801])).
% 50.27/33.36 tff(31826,plain,
% 50.27/33.36 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB7) | (~v244(constB7)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB7) | (~v244(constB7)))),
% 50.27/33.36 inference(rewrite,[status(thm)],[])).
% 50.27/33.36 tff(31827,plain,
% 50.27/33.36 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB7) | (~v244(constB7)))),
% 50.27/33.36 inference(quant_inst,[status(thm)],[])).
% 50.27/33.36 tff(31828,plain,
% 50.27/33.36 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB7) | (~v244(constB7))),
% 50.27/33.36 inference(modus_ponens,[status(thm)],[31827, 31826])).
% 50.27/33.36 tff(31829,plain,
% 50.27/33.36 (~v244(constB7)),
% 50.27/33.36 inference(unit_resolution,[status(thm)],[31828, 11335, 31825])).
% 50.27/33.36 tff(31830,plain,
% 50.27/33.36 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB7) | (~v216(constB7, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB7) | (~v216(constB7, bitIndex1)))),
% 50.27/33.36 inference(rewrite,[status(thm)],[])).
% 50.27/33.36 tff(31831,plain,
% 50.27/33.36 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB7) | (~v216(constB7, bitIndex1)))),
% 50.27/33.36 inference(quant_inst,[status(thm)],[])).
% 50.27/33.36 tff(31832,plain,
% 50.27/33.36 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB7) | (~v216(constB7, bitIndex1))),
% 50.27/33.36 inference(modus_ponens,[status(thm)],[31831, 31830])).
% 50.27/33.36 tff(31833,plain,
% 50.27/33.36 (~v216(constB7, bitIndex1)),
% 50.27/33.36 inference(unit_resolution,[status(thm)],[31832, 11346, 31829])).
% 50.27/33.36 tff(31834,plain,
% 50.27/33.36 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB7, bitIndex1) | (~v254(constB7)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB7, bitIndex1) | (~v254(constB7)))),
% 50.27/33.36 inference(rewrite,[status(thm)],[])).
% 50.27/33.36 tff(31835,plain,
% 50.27/33.36 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB7, bitIndex1) | (~v254(constB7)))),
% 50.27/33.36 inference(quant_inst,[status(thm)],[])).
% 50.27/33.36 tff(31836,plain,
% 50.27/33.36 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB7, bitIndex1) | (~v254(constB7))),
% 50.27/33.36 inference(modus_ponens,[status(thm)],[31835, 31834])).
% 50.27/33.36 tff(31837,plain,
% 50.27/33.36 (~v254(constB7)),
% 50.27/33.36 inference(unit_resolution,[status(thm)],[31836, 11357, 31833])).
% 50.27/33.36 tff(31838,plain,
% 50.27/33.36 (((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB7) | (~v231(constB7)))) <=> ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB7) | (~v231(constB7)))),
% 50.27/33.36 inference(rewrite,[status(thm)],[])).
% 50.27/33.36 tff(31839,plain,
% 50.27/33.36 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB7) | (~v231(constB7)))),
% 50.27/33.36 inference(quant_inst,[status(thm)],[])).
% 50.27/33.36 tff(31840,plain,
% 50.27/33.36 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB7) | (~v231(constB7))),
% 50.27/33.36 inference(modus_ponens,[status(thm)],[31839, 31838])).
% 50.27/33.36 tff(31841,plain,
% 50.27/33.36 (~v231(constB7)),
% 50.27/33.36 inference(unit_resolution,[status(thm)],[31840, 24684, 31817])).
% 50.27/33.36 tff(31842,plain,
% 50.27/33.36 (((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB7) | (~v221(constB7)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB7) | (~v221(constB7)))),
% 50.27/33.36 inference(rewrite,[status(thm)],[])).
% 50.27/33.36 tff(31843,plain,
% 50.27/33.36 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB7) | (~v221(constB7)))),
% 50.27/33.36 inference(quant_inst,[status(thm)],[])).
% 50.27/33.36 tff(31844,plain,
% 50.27/33.36 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB7) | (~v221(constB7))),
% 50.27/33.36 inference(modus_ponens,[status(thm)],[31843, 31842])).
% 50.27/33.36 tff(31845,plain,
% 50.27/33.36 (~v221(constB7)),
% 50.27/33.36 inference(unit_resolution,[status(thm)],[31844, 11192, 31809])).
% 50.27/33.36 tff(31846,plain,
% 50.27/33.36 (((~![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)))),
% 50.27/33.36 inference(rewrite,[status(thm)],[])).
% 50.27/33.36 tff(31847,plain,
% 50.27/33.36 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB7) | v231(constB7) | (~v243(constB7)))),
% 50.27/33.36 inference(quant_inst,[status(thm)],[])).
% 50.27/33.36 tff(31848,plain,
% 50.27/33.36 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB7) | v231(constB7) | (~v243(constB7))),
% 50.27/33.36 inference(modus_ponens,[status(thm)],[31847, 31846])).
% 50.27/33.36 tff(31849,plain,
% 50.27/33.36 (v231(constB7) | (~v243(constB7))),
% 50.27/33.36 inference(unit_resolution,[status(thm)],[31848, 11206, 31845])).
% 50.27/33.36 tff(31850,plain,
% 50.27/33.36 (~v243(constB7)),
% 50.27/33.36 inference(unit_resolution,[status(thm)],[31849, 31841])).
% 50.27/33.36 tff(31851,plain,
% 50.27/33.36 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB7) | v255(constB7))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB7) | v255(constB7))),
% 50.27/33.36 inference(rewrite,[status(thm)],[])).
% 50.27/33.36 tff(31852,plain,
% 50.27/33.37 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB7) | v255(constB7))),
% 50.27/33.37 inference(quant_inst,[status(thm)],[])).
% 50.27/33.37 tff(31853,plain,
% 50.27/33.37 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB7) | v255(constB7)),
% 50.27/33.37 inference(modus_ponens,[status(thm)],[31852, 31851])).
% 50.27/33.37 tff(31854,plain,
% 50.27/33.37 (v255(constB7)),
% 50.27/33.37 inference(unit_resolution,[status(thm)],[31853, 11222, 31850])).
% 50.27/33.37 tff(31855,plain,
% 50.27/33.37 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB7)) | (~v216(constB7, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB7)) | (~v216(constB7, bitIndex2)))),
% 50.27/33.37 inference(rewrite,[status(thm)],[])).
% 50.27/33.37 tff(31856,plain,
% 50.27/33.37 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB7)) | (~v216(constB7, bitIndex2)))),
% 50.27/33.37 inference(quant_inst,[status(thm)],[])).
% 50.27/33.37 tff(31857,plain,
% 50.27/33.37 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB7)) | (~v216(constB7, bitIndex2))),
% 50.27/33.37 inference(modus_ponens,[status(thm)],[31856, 31855])).
% 50.27/33.37 tff(31858,plain,
% 50.27/33.37 (~v216(constB7, bitIndex2)),
% 50.27/33.37 inference(unit_resolution,[status(thm)],[31857, 11237, 31854])).
% 50.27/33.37 tff(31859,plain,
% 50.27/33.37 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB7)) | v216(constB7, bitIndex2) | v254(constB7))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB7)) | v216(constB7, bitIndex2) | v254(constB7))),
% 50.27/33.37 inference(rewrite,[status(thm)],[])).
% 50.27/33.37 tff(31860,plain,
% 50.27/33.37 ((v216(constB7, bitIndex2) | v254(constB7) | (~v215(constB7))) <=> ((~v215(constB7)) | v216(constB7, bitIndex2) | v254(constB7))),
% 50.27/33.37 inference(rewrite,[status(thm)],[])).
% 50.27/33.37 tff(31861,plain,
% 50.27/33.37 (((~![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)))) | ((~v215(constB7)) | v216(constB7, bitIndex2) | v254(constB7)))),
% 50.27/33.37 inference(monotonicity,[status(thm)],[31860])).
% 50.27/33.37 tff(31862,plain,
% 50.27/33.37 (((~![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)))) | (~v215(constB7)) | v216(constB7, bitIndex2) | v254(constB7))),
% 50.27/33.37 inference(transitivity,[status(thm)],[31861, 31859])).
% 50.27/33.37 tff(31863,plain,
% 50.27/33.37 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB7, bitIndex2) | v254(constB7) | (~v215(constB7)))),
% 50.27/33.37 inference(quant_inst,[status(thm)],[])).
% 50.27/33.37 tff(31864,plain,
% 50.27/33.37 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB7)) | v216(constB7, bitIndex2) | v254(constB7)),
% 50.27/33.37 inference(modus_ponens,[status(thm)],[31863, 31862])).
% 50.27/33.37 tff(31865,plain,
% 50.27/33.37 ((~v215(constB7)) | v254(constB7)),
% 50.27/33.37 inference(unit_resolution,[status(thm)],[31864, 11278, 31858])).
% 50.27/33.37 tff(31866,plain,
% 50.27/33.37 (~v215(constB7)),
% 50.27/33.37 inference(unit_resolution,[status(thm)],[31865, 31837])).
% 50.27/33.37 tff(31867,plain,
% 50.27/33.37 ($false),
% 50.27/33.37 inference(unit_resolution,[status(thm)],[31866, 31688])).
% 50.27/33.37 tff(31868,plain,(~(constB7 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.27/33.37 tff(31869,assumption,(constB197 = sK0_VarCurr), introduced(assumption)).
% 50.27/33.37 tff(31870,plain,
% 50.27/33.37 (v215(constB197) <=> v215(sK0_VarCurr)),
% 50.27/33.37 inference(monotonicity,[status(thm)],[31869])).
% 50.27/33.37 tff(31871,plain,
% 50.27/33.37 (v215(sK0_VarCurr) <=> v215(constB197)),
% 50.27/33.37 inference(symmetry,[status(thm)],[31870])).
% 50.27/33.37 tff(31872,plain,
% 50.27/33.37 (v215(constB197)),
% 50.27/33.37 inference(modus_ponens,[status(thm)],[11268, 31871])).
% 50.27/33.37 tff(31873,plain,
% 50.27/33.37 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB195, bitIndex2)) | (~v122(constB195)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB195, bitIndex2)) | (~v122(constB195)))),
% 50.27/33.37 inference(rewrite,[status(thm)],[])).
% 50.27/33.37 tff(31874,plain,
% 50.27/33.37 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | ((~v90(constB195, bitIndex2)) | (~v122(constB195)))),
% 50.27/33.37 inference(quant_inst,[status(thm)],[])).
% 50.27/33.37 tff(31875,plain,
% 50.27/33.37 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v122(VarCurr)))) | (~v90(constB195, bitIndex2)) | (~v122(constB195))),
% 50.27/33.37 inference(modus_ponens,[status(thm)],[31874, 31873])).
% 50.27/33.37 tff(31876,plain,
% 50.27/33.37 (~v122(constB195)),
% 50.27/33.37 inference(unit_resolution,[status(thm)],[31875, 894, 29066])).
% 50.27/33.37 tff(31877,plain,
% 50.27/33.37 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB195, bitIndex1)) | (~v124(constB195)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB195, bitIndex1)) | (~v124(constB195)))),
% 50.27/33.37 inference(rewrite,[status(thm)],[])).
% 50.27/33.37 tff(31878,plain,
% 50.27/33.37 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | ((~v90(constB195, bitIndex1)) | (~v124(constB195)))),
% 50.27/33.37 inference(quant_inst,[status(thm)],[])).
% 50.27/33.37 tff(31879,plain,
% 50.27/33.37 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v124(VarCurr)))) | (~v90(constB195, bitIndex1)) | (~v124(constB195))),
% 50.27/33.37 inference(modus_ponens,[status(thm)],[31878, 31877])).
% 50.27/33.37 tff(31880,plain,
% 50.27/33.37 (~v124(constB195)),
% 50.27/33.37 inference(unit_resolution,[status(thm)],[31879, 763, 29085])).
% 50.27/33.37 tff(31881,plain,
% 50.27/33.37 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB195, bitIndex1)) | (~v120(constB195)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB195, bitIndex1)) | (~v120(constB195)))),
% 50.27/33.37 inference(rewrite,[status(thm)],[])).
% 50.27/33.37 tff(31882,plain,
% 50.27/33.37 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | ((~v90(constB195, bitIndex1)) | (~v120(constB195)))),
% 50.27/33.37 inference(quant_inst,[status(thm)],[])).
% 50.27/33.37 tff(31883,plain,
% 50.27/33.37 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v120(VarCurr)))) | (~v90(constB195, bitIndex1)) | (~v120(constB195))),
% 50.27/33.37 inference(modus_ponens,[status(thm)],[31882, 31881])).
% 50.27/33.37 tff(31884,plain,
% 50.27/33.37 (~v120(constB195)),
% 50.27/33.37 inference(unit_resolution,[status(thm)],[31883, 2312, 29085])).
% 50.27/33.37 tff(31885,plain,
% 50.27/33.37 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB195, bitIndex2)) | (~v121(constB195)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB195, bitIndex2)) | (~v121(constB195)))),
% 50.27/33.37 inference(rewrite,[status(thm)],[])).
% 50.27/33.37 tff(31886,plain,
% 50.27/33.37 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | ((~v90(constB195, bitIndex2)) | (~v121(constB195)))),
% 50.27/33.37 inference(quant_inst,[status(thm)],[])).
% 50.27/33.37 tff(31887,plain,
% 50.27/33.37 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | (~v121(VarCurr)))) | (~v90(constB195, bitIndex2)) | (~v121(constB195))),
% 50.27/33.37 inference(modus_ponens,[status(thm)],[31886, 31885])).
% 50.27/33.37 tff(31888,plain,
% 50.27/33.37 (~v121(constB195)),
% 50.27/33.37 inference(unit_resolution,[status(thm)],[31887, 883, 29066])).
% 50.27/33.37 tff(31889,plain,
% 50.27/33.37 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB195, bitIndex1)) | (~v123(constB195)))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB195, bitIndex1)) | (~v123(constB195)))),
% 50.27/33.37 inference(rewrite,[status(thm)],[])).
% 50.27/33.37 tff(31890,plain,
% 50.27/33.37 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | ((~v90(constB195, bitIndex1)) | (~v123(constB195)))),
% 50.27/33.37 inference(quant_inst,[status(thm)],[])).
% 50.27/33.37 tff(31891,plain,
% 50.27/33.37 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | (~v123(VarCurr)))) | (~v90(constB195, bitIndex1)) | (~v123(constB195))),
% 50.27/33.37 inference(modus_ponens,[status(thm)],[31890, 31889])).
% 50.27/33.37 tff(31892,plain,
% 50.27/33.37 (~v123(constB195)),
% 50.27/33.37 inference(unit_resolution,[status(thm)],[31891, 774, 29085])).
% 50.27/33.37 tff(31893,plain,
% 50.27/33.37 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB195)) | (~v90(constB195, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB195)) | (~v90(constB195, bitIndex1)))),
% 50.27/33.37 inference(rewrite,[status(thm)],[])).
% 50.27/33.37 tff(31894,plain,
% 50.27/33.37 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | ((~v119(constB195)) | (~v90(constB195, bitIndex1)))),
% 50.27/33.37 inference(quant_inst,[status(thm)],[])).
% 50.27/33.37 tff(31895,plain,
% 50.27/33.37 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex1)))) | (~v119(constB195)) | (~v90(constB195, bitIndex1))),
% 50.27/33.37 inference(modus_ponens,[status(thm)],[31894, 31893])).
% 50.27/33.37 tff(31896,plain,
% 50.27/33.37 (~v119(constB195)),
% 50.27/33.37 inference(unit_resolution,[status(thm)],[31895, 2293, 29085])).
% 50.27/33.37 tff(31897,plain,
% 50.27/33.37 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB195, bitIndex2)) | v124(constB195) | v120(constB195) | v119(constB195) | v121(constB195) | v122(constB195) | v123(constB195))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB195, bitIndex2)) | v124(constB195) | v120(constB195) | v119(constB195) | v121(constB195) | v122(constB195) | v123(constB195))),
% 50.27/33.37 inference(rewrite,[status(thm)],[])).
% 50.27/33.37 tff(31898,plain,
% 50.27/33.37 ((v120(constB195) | v119(constB195) | v121(constB195) | v122(constB195) | v123(constB195) | v124(constB195) | (~v130(constB195, bitIndex2))) <=> ((~v130(constB195, bitIndex2)) | v124(constB195) | v120(constB195) | v119(constB195) | v121(constB195) | v122(constB195) | v123(constB195))),
% 50.27/33.37 inference(rewrite,[status(thm)],[])).
% 50.27/33.37 tff(31899,plain,
% 50.27/33.37 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB195) | v119(constB195) | v121(constB195) | v122(constB195) | v123(constB195) | v124(constB195) | (~v130(constB195, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | ((~v130(constB195, bitIndex2)) | v124(constB195) | v120(constB195) | v119(constB195) | v121(constB195) | v122(constB195) | v123(constB195)))),
% 50.27/33.37 inference(monotonicity,[status(thm)],[31898])).
% 50.27/33.37 tff(31900,plain,
% 50.27/33.37 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB195) | v119(constB195) | v121(constB195) | v122(constB195) | v123(constB195) | v124(constB195) | (~v130(constB195, bitIndex2)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB195, bitIndex2)) | v124(constB195) | v120(constB195) | v119(constB195) | v121(constB195) | v122(constB195) | v123(constB195))),
% 50.27/33.37 inference(transitivity,[status(thm)],[31899, 31897])).
% 50.27/33.37 tff(31901,plain,
% 50.27/33.37 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (v120(constB195) | v119(constB195) | v121(constB195) | v122(constB195) | v123(constB195) | v124(constB195) | (~v130(constB195, bitIndex2)))),
% 50.27/33.37 inference(quant_inst,[status(thm)],[])).
% 50.27/33.37 tff(31902,plain,
% 50.27/33.37 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex2)))) | (~v130(constB195, bitIndex2)) | v124(constB195) | v120(constB195) | v119(constB195) | v121(constB195) | v122(constB195) | v123(constB195)),
% 50.27/33.37 inference(modus_ponens,[status(thm)],[31901, 31900])).
% 50.27/33.37 tff(31903,plain,
% 50.27/33.37 (~v130(constB195, bitIndex2)),
% 50.27/33.37 inference(unit_resolution,[status(thm)],[31902, 1192, 31896, 31892, 31888, 31884, 31880, 31876])).
% 50.27/33.37 tff(31904,assumption,(v26(constB195)), introduced(assumption)).
% 50.27/33.37 tff(31905,plain,
% 50.27/33.37 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB195))),
% 50.27/33.37 inference(quant_inst,[status(thm)],[])).
% 50.27/33.37 tff(31906,plain,
% 50.27/33.37 ($false),
% 50.27/33.37 inference(unit_resolution,[status(thm)],[31905, 16, 31904])).
% 50.27/33.37 tff(31907,plain,(~v26(constB195)), inference(lemma,lemma(discharge,[]))).
% 50.27/33.37 tff(31908,plain,
% 50.27/33.37 (((~![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))),
% 50.27/33.37 inference(rewrite,[status(thm)],[])).
% 50.27/33.37 tff(31909,plain,
% 50.27/33.37 ((v26(constB195) | v130(constB195, bitIndex2) | (~v127(constB195, bitIndex2))) <=> ((~v127(constB195, bitIndex2)) | v26(constB195) | v130(constB195, bitIndex2))),
% 50.27/33.37 inference(rewrite,[status(thm)],[])).
% 50.27/33.37 tff(31910,plain,
% 50.27/33.37 (((~![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)))),
% 50.27/33.37 inference(monotonicity,[status(thm)],[31909])).
% 50.27/33.37 tff(31911,plain,
% 50.27/33.37 (((~![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))),
% 50.27/33.37 inference(transitivity,[status(thm)],[31910, 31908])).
% 50.27/33.37 tff(31912,plain,
% 50.27/33.37 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (v26(constB195) | v130(constB195, bitIndex2) | (~v127(constB195, bitIndex2)))),
% 50.27/33.37 inference(quant_inst,[status(thm)],[])).
% 50.27/33.37 tff(31913,plain,
% 50.27/33.37 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex2) | (~v127(VarCurr, bitIndex2)))) | (~v127(constB195, bitIndex2)) | v26(constB195) | v130(constB195, bitIndex2)),
% 50.27/33.37 inference(modus_ponens,[status(thm)],[31912, 31911])).
% 50.27/33.37 tff(31914,plain,
% 50.27/33.37 ((~v127(constB195, bitIndex2)) | v130(constB195, bitIndex2)),
% 50.27/33.37 inference(unit_resolution,[status(thm)],[31913, 1210, 31907])).
% 50.27/33.37 tff(31915,plain,
% 50.27/33.37 (~v127(constB195, bitIndex2)),
% 50.27/33.37 inference(unit_resolution,[status(thm)],[31914, 31903])).
% 50.27/33.37 tff(31916,plain,
% 50.27/33.37 (nextState(constB195, constB196) <=> nextState(constB195, constB196)),
% 50.27/33.37 inference(rewrite,[status(thm)],[])).
% 50.27/33.37 tff(31917,axiom,(nextState(constB195, constB196)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_195_1')).
% 50.27/33.37 tff(31918,plain,
% 50.27/33.37 (nextState(constB195, constB196)),
% 50.27/33.37 inference(modus_ponens,[status(thm)],[31917, 31916])).
% 50.27/33.37 tff(31919,plain,
% 50.27/33.37 (((~![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)))),
% 50.27/33.37 inference(rewrite,[status(thm)],[])).
% 50.27/33.37 tff(31920,plain,
% 50.27/33.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | ((~nextState(constB195, constB196)) | v127(constB195, bitIndex2) | (~v129(constB196, bitIndex2)))),
% 50.27/33.37 inference(quant_inst,[status(thm)],[])).
% 50.27/33.37 tff(31921,plain,
% 50.27/33.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex2) | (~v129(VarNext, bitIndex2)))) | (~nextState(constB195, constB196)) | v127(constB195, bitIndex2) | (~v129(constB196, bitIndex2))),
% 50.27/33.37 inference(modus_ponens,[status(thm)],[31920, 31919])).
% 50.27/33.37 tff(31922,plain,
% 50.27/33.37 (v127(constB195, bitIndex2) | (~v129(constB196, bitIndex2))),
% 50.27/33.37 inference(unit_resolution,[status(thm)],[31921, 1243, 31918])).
% 50.27/33.37 tff(31923,plain,
% 50.27/33.37 (~v129(constB196, bitIndex2)),
% 50.27/33.37 inference(unit_resolution,[status(thm)],[31922, 31915])).
% 50.27/33.37 tff(31924,plain,
% 50.27/33.37 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB195, bitIndex0) | (~v90(constB195, bitIndex1)) | (~v90(constB195, bitIndex2)) | v125(constB195))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB195, bitIndex0) | (~v90(constB195, bitIndex1)) | (~v90(constB195, bitIndex2)) | v125(constB195))),
% 50.27/33.37 inference(rewrite,[status(thm)],[])).
% 50.27/33.37 tff(31925,plain,
% 50.27/33.37 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | (v90(constB195, bitIndex0) | (~v90(constB195, bitIndex1)) | (~v90(constB195, bitIndex2)) | v125(constB195))),
% 50.27/33.37 inference(quant_inst,[status(thm)],[])).
% 50.27/33.37 tff(31926,plain,
% 50.27/33.37 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v90(VarCurr, bitIndex1)) | (~v90(VarCurr, bitIndex2)) | v125(VarCurr))) | v90(constB195, bitIndex0) | (~v90(constB195, bitIndex1)) | (~v90(constB195, bitIndex2)) | v125(constB195)),
% 50.27/33.37 inference(modus_ponens,[status(thm)],[31925, 31924])).
% 50.27/33.37 tff(31927,plain,
% 50.27/33.37 (v125(constB195)),
% 50.27/33.37 inference(unit_resolution,[status(thm)],[31926, 1019, 29045, 29085, 29066])).
% 50.27/33.37 tff(31928,plain,
% 50.27/33.37 (((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB195) | (~v125(constB195)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB195) | (~v125(constB195)))),
% 50.27/33.37 inference(rewrite,[status(thm)],[])).
% 50.27/33.37 tff(31929,plain,
% 50.27/33.37 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | (v113(constB195) | (~v125(constB195)))),
% 50.27/33.37 inference(quant_inst,[status(thm)],[])).
% 50.27/33.37 tff(31930,plain,
% 50.27/33.37 ((~![VarCurr: $i] : (v113(VarCurr) | (~v125(VarCurr)))) | v113(constB195) | (~v125(constB195))),
% 50.27/33.37 inference(modus_ponens,[status(thm)],[31929, 31928])).
% 50.27/33.37 tff(31931,plain,
% 50.27/33.37 (v113(constB195)),
% 50.27/33.37 inference(unit_resolution,[status(thm)],[31930, 1031, 31927])).
% 50.27/33.37 tff(31932,assumption,(~v108(constB195)), introduced(assumption)).
% 50.27/33.37 tff(31933,plain,
% 50.27/33.37 (((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB195) | (~v112(constB195)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB195) | (~v112(constB195)))),
% 50.27/33.37 inference(rewrite,[status(thm)],[])).
% 50.27/33.37 tff(31934,plain,
% 50.27/33.37 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | (v108(constB195) | (~v112(constB195)))),
% 50.27/33.37 inference(quant_inst,[status(thm)],[])).
% 50.27/33.37 tff(31935,plain,
% 50.27/33.37 ((~![VarCurr: $i] : (v108(VarCurr) | (~v112(VarCurr)))) | v108(constB195) | (~v112(constB195))),
% 50.27/33.37 inference(modus_ponens,[status(thm)],[31934, 31933])).
% 50.27/33.37 tff(31936,plain,
% 50.27/33.37 (~v112(constB195)),
% 50.27/33.37 inference(unit_resolution,[status(thm)],[31935, 236, 31932])).
% 50.27/33.37 tff(31937,plain,
% 50.27/33.37 (((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB195) | (~v26(constB195)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB195) | (~v26(constB195)))),
% 50.27/33.37 inference(rewrite,[status(thm)],[])).
% 50.27/33.37 tff(31938,plain,
% 50.27/33.37 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | (v108(constB195) | (~v26(constB195)))),
% 50.27/33.37 inference(quant_inst,[status(thm)],[])).
% 50.27/33.37 tff(31939,plain,
% 50.27/33.37 ((~![VarCurr: $i] : (v108(VarCurr) | (~v26(VarCurr)))) | v108(constB195) | (~v26(constB195))),
% 50.27/33.37 inference(modus_ponens,[status(thm)],[31938, 31937])).
% 50.27/33.37 tff(31940,plain,
% 50.27/33.37 (~v26(constB195)),
% 50.27/33.37 inference(unit_resolution,[status(thm)],[31939, 961, 31932])).
% 50.27/33.37 tff(31941,assumption,(v113(constB195)), introduced(assumption)).
% 50.27/33.37 tff(31942,plain,
% 50.27/33.37 (((~![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)))),
% 50.27/33.37 inference(rewrite,[status(thm)],[])).
% 50.27/33.37 tff(31943,plain,
% 50.27/33.37 ((v26(constB195) | (~v113(constB195)) | v112(constB195)) <=> (v26(constB195) | v112(constB195) | (~v113(constB195)))),
% 50.27/33.37 inference(rewrite,[status(thm)],[])).
% 50.27/33.37 tff(31944,plain,
% 50.27/33.37 (((~![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))))),
% 50.27/33.37 inference(monotonicity,[status(thm)],[31943])).
% 50.27/33.37 tff(31945,plain,
% 50.27/33.37 (((~![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)))),
% 50.27/33.37 inference(transitivity,[status(thm)],[31944, 31942])).
% 50.27/33.37 tff(31946,plain,
% 50.27/33.37 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB195) | (~v113(constB195)) | v112(constB195))),
% 50.27/33.37 inference(quant_inst,[status(thm)],[])).
% 50.27/33.37 tff(31947,plain,
% 50.27/33.37 ((~![VarCurr: $i] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB195) | v112(constB195) | (~v113(constB195))),
% 50.27/33.37 inference(modus_ponens,[status(thm)],[31946, 31945])).
% 50.27/33.37 tff(31948,plain,
% 50.27/33.37 (v26(constB195) | v112(constB195)),
% 50.27/33.37 inference(unit_resolution,[status(thm)],[31947, 224, 31941])).
% 50.27/33.37 tff(31949,plain,
% 50.27/33.37 ($false),
% 50.27/33.37 inference(unit_resolution,[status(thm)],[31948, 31940, 31936])).
% 50.27/33.37 tff(31950,plain,(v108(constB195) | (~v113(constB195))), inference(lemma,lemma(discharge,[]))).
% 50.27/33.37 tff(31951,plain,
% 50.27/33.37 (v108(constB195)),
% 50.27/33.37 inference(unit_resolution,[status(thm)],[31950, 31931])).
% 50.27/33.37 tff(31952,plain,
% 50.27/33.37 (((~![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)))),
% 50.27/33.37 inference(rewrite,[status(thm)],[])).
% 50.27/33.37 tff(31953,plain,
% 50.27/33.37 (((~nextState(constB195, constB196)) | (~v108(constB195)) | v110(constB196)) <=> ((~nextState(constB195, constB196)) | v110(constB196) | (~v108(constB195)))),
% 50.27/33.37 inference(rewrite,[status(thm)],[])).
% 50.27/33.37 tff(31954,plain,
% 50.27/33.37 (((~![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))))),
% 50.27/33.37 inference(monotonicity,[status(thm)],[31953])).
% 50.27/33.37 tff(31955,plain,
% 50.27/33.37 (((~![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)))),
% 50.27/33.37 inference(transitivity,[status(thm)],[31954, 31952])).
% 50.27/33.37 tff(31956,plain,
% 50.27/33.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB195, constB196)) | (~v108(constB195)) | v110(constB196))),
% 50.27/33.37 inference(quant_inst,[status(thm)],[])).
% 50.27/33.37 tff(31957,plain,
% 50.27/33.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB195, constB196)) | v110(constB196) | (~v108(constB195))),
% 50.27/33.37 inference(modus_ponens,[status(thm)],[31956, 31955])).
% 50.27/33.37 tff(31958,plain,
% 50.27/33.37 (v110(constB196) | (~v108(constB195))),
% 50.27/33.37 inference(unit_resolution,[status(thm)],[31957, 253, 31918])).
% 50.27/33.37 tff(31959,plain,
% 50.27/33.37 (v110(constB196)),
% 50.27/33.37 inference(unit_resolution,[status(thm)],[31958, 31951])).
% 50.27/33.37 tff(31960,plain,
% 50.27/33.37 (((~![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)))),
% 50.27/33.37 inference(rewrite,[status(thm)],[])).
% 50.27/33.37 tff(31961,plain,
% 50.27/33.37 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB195) | (~nextState(constB195, constB196)) | (~v104(constB196)))),
% 50.27/33.37 inference(quant_inst,[status(thm)],[])).
% 50.27/33.37 tff(31962,plain,
% 50.27/33.37 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB195) | (~nextState(constB195, constB196)) | (~v104(constB196))),
% 50.27/33.37 inference(modus_ponens,[status(thm)],[31961, 31960])).
% 50.27/33.37 tff(31963,plain,
% 50.27/33.37 (~v104(constB196)),
% 50.27/33.37 inference(unit_resolution,[status(thm)],[31962, 271, 31918, 29021])).
% 50.27/33.37 tff(31964,plain,
% 50.27/33.37 (((~![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))),
% 50.27/33.37 inference(rewrite,[status(thm)],[])).
% 50.27/33.37 tff(31965,plain,
% 50.27/33.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB195, constB196)) | v102(constB196) | v104(constB196))),
% 50.27/33.37 inference(quant_inst,[status(thm)],[])).
% 50.27/33.37 tff(31966,plain,
% 50.27/33.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB195, constB196)) | v102(constB196) | v104(constB196)),
% 50.27/33.37 inference(modus_ponens,[status(thm)],[31965, 31964])).
% 50.27/33.37 tff(31967,plain,
% 50.27/33.37 (v102(constB196) | v104(constB196)),
% 50.27/33.37 inference(unit_resolution,[status(thm)],[31966, 285, 31918])).
% 50.27/33.37 tff(31968,plain,
% 50.27/33.37 (v102(constB196)),
% 50.27/33.37 inference(unit_resolution,[status(thm)],[31967, 31963])).
% 50.27/33.37 tff(31969,plain,
% 50.27/33.37 (v1(constB196) <=> v1(constB196)),
% 50.27/33.37 inference(rewrite,[status(thm)],[])).
% 50.27/33.37 tff(31970,axiom,(v1(constB196)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_196_1')).
% 50.27/33.37 tff(31971,plain,
% 50.27/33.37 (v1(constB196)),
% 50.27/33.37 inference(modus_ponens,[status(thm)],[31970, 31969])).
% 50.27/33.37 tff(31972,plain,
% 50.27/33.37 (((~![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)))),
% 50.27/33.37 inference(rewrite,[status(thm)],[])).
% 50.27/33.37 tff(31973,plain,
% 50.27/33.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB195, constB196)) | v101(constB196) | (~v102(constB196)) | (~v1(constB196)))),
% 50.27/33.37 inference(quant_inst,[status(thm)],[])).
% 50.27/33.37 tff(31974,plain,
% 50.27/33.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB195, constB196)) | v101(constB196) | (~v102(constB196)) | (~v1(constB196))),
% 50.27/33.37 inference(modus_ponens,[status(thm)],[31973, 31972])).
% 50.27/33.37 tff(31975,plain,
% 50.27/33.37 (v101(constB196) | (~v102(constB196))),
% 50.27/33.37 inference(unit_resolution,[status(thm)],[31974, 303, 31918, 31971])).
% 50.27/33.37 tff(31976,plain,
% 50.27/33.37 (v101(constB196)),
% 50.27/33.37 inference(unit_resolution,[status(thm)],[31975, 31968])).
% 50.27/33.37 tff(31977,plain,
% 50.27/33.37 (((~![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)))),
% 50.27/33.37 inference(rewrite,[status(thm)],[])).
% 50.27/33.37 tff(31978,plain,
% 50.27/33.37 (((~nextState(constB195, constB196)) | (~v101(constB196)) | (~v110(constB196)) | v100(constB196)) <=> ((~nextState(constB195, constB196)) | v100(constB196) | (~v101(constB196)) | (~v110(constB196)))),
% 50.27/33.37 inference(rewrite,[status(thm)],[])).
% 50.27/33.37 tff(31979,plain,
% 50.27/33.37 (((~![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))))),
% 50.27/33.37 inference(monotonicity,[status(thm)],[31978])).
% 50.27/33.37 tff(31980,plain,
% 50.27/33.37 (((~![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)))),
% 50.27/33.37 inference(transitivity,[status(thm)],[31979, 31977])).
% 50.27/33.37 tff(31981,plain,
% 50.27/33.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB195, constB196)) | (~v101(constB196)) | (~v110(constB196)) | v100(constB196))),
% 50.27/33.37 inference(quant_inst,[status(thm)],[])).
% 50.27/33.37 tff(31982,plain,
% 50.27/33.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB195, constB196)) | v100(constB196) | (~v101(constB196)) | (~v110(constB196))),
% 50.27/33.37 inference(modus_ponens,[status(thm)],[31981, 31980])).
% 50.27/33.37 tff(31983,plain,
% 50.27/33.37 (v100(constB196) | (~v101(constB196)) | (~v110(constB196))),
% 50.27/33.37 inference(unit_resolution,[status(thm)],[31982, 318, 31918])).
% 50.27/33.37 tff(31984,plain,
% 50.27/33.37 (v100(constB196) | (~v110(constB196))),
% 50.27/33.37 inference(unit_resolution,[status(thm)],[31983, 31976])).
% 50.27/33.37 tff(31985,plain,
% 50.27/33.37 (v100(constB196)),
% 50.27/33.37 inference(unit_resolution,[status(thm)],[31984, 31959])).
% 50.27/33.37 tff(31986,plain,
% 50.27/33.37 (((~![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)))),
% 50.27/33.37 inference(rewrite,[status(thm)],[])).
% 50.27/33.37 tff(31987,plain,
% 50.27/33.37 (((~v90(constB196, bitIndex2)) | (~v100(constB196)) | v129(constB196, bitIndex2)) <=> ((~v90(constB196, bitIndex2)) | v129(constB196, bitIndex2) | (~v100(constB196)))),
% 50.27/33.37 inference(rewrite,[status(thm)],[])).
% 50.27/33.37 tff(31988,plain,
% 50.27/33.37 (((~![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))))),
% 50.27/33.37 inference(monotonicity,[status(thm)],[31987])).
% 50.27/33.37 tff(31989,plain,
% 50.27/33.37 (((~![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)))),
% 50.27/33.37 inference(transitivity,[status(thm)],[31988, 31986])).
% 50.27/33.37 tff(31990,plain,
% 50.27/33.37 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | ((~v90(constB196, bitIndex2)) | (~v100(constB196)) | v129(constB196, bitIndex2))),
% 50.27/33.37 inference(quant_inst,[status(thm)],[])).
% 50.27/33.37 tff(31991,plain,
% 50.27/33.37 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex2)) | (~v100(VarNext)) | v129(VarNext, bitIndex2))) | (~v90(constB196, bitIndex2)) | v129(constB196, bitIndex2) | (~v100(constB196))),
% 50.27/33.37 inference(modus_ponens,[status(thm)],[31990, 31989])).
% 50.27/33.37 tff(31992,plain,
% 50.27/33.37 (~v90(constB196, bitIndex2)),
% 50.27/33.37 inference(unit_resolution,[status(thm)],[31991, 1258, 31985, 31923])).
% 50.27/33.37 tff(31993,plain,
% 50.27/33.37 ((~v1(constB197)) <=> (~v1(constB197))),
% 50.27/33.37 inference(rewrite,[status(thm)],[])).
% 50.27/33.37 tff(31994,axiom,(~v1(constB197)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_197_1_1')).
% 50.27/33.37 tff(31995,plain,
% 50.27/33.37 (~v1(constB197)),
% 50.27/33.37 inference(modus_ponens,[status(thm)],[31994, 31993])).
% 50.27/33.37 tff(31996,plain,
% 50.27/33.37 (nextState(constB196, constB197) <=> nextState(constB196, constB197)),
% 50.27/33.37 inference(rewrite,[status(thm)],[])).
% 50.27/33.37 tff(31997,axiom,(nextState(constB196, constB197)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_196_1')).
% 50.27/33.37 tff(31998,plain,
% 50.27/33.37 (nextState(constB196, constB197)),
% 50.27/33.37 inference(modus_ponens,[status(thm)],[31997, 31996])).
% 50.27/33.37 tff(31999,plain,
% 50.27/33.37 (((~![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)))),
% 50.27/33.38 inference(rewrite,[status(thm)],[])).
% 50.27/33.38 tff(32000,plain,
% 50.27/33.38 (((~nextState(constB196, constB197)) | (~v101(constB197)) | v1(constB197)) <=> (v1(constB197) | (~nextState(constB196, constB197)) | (~v101(constB197)))),
% 50.27/33.38 inference(rewrite,[status(thm)],[])).
% 50.27/33.38 tff(32001,plain,
% 50.27/33.38 (((~![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))))),
% 50.27/33.38 inference(monotonicity,[status(thm)],[32000])).
% 50.27/33.38 tff(32002,plain,
% 50.27/33.38 (((~![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)))),
% 50.27/33.38 inference(transitivity,[status(thm)],[32001, 31999])).
% 50.27/33.38 tff(32003,plain,
% 50.27/33.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB196, constB197)) | (~v101(constB197)) | v1(constB197))),
% 50.27/33.38 inference(quant_inst,[status(thm)],[])).
% 50.27/33.38 tff(32004,plain,
% 50.27/33.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB197) | (~nextState(constB196, constB197)) | (~v101(constB197))),
% 50.27/33.38 inference(modus_ponens,[status(thm)],[32003, 32002])).
% 50.27/33.38 tff(32005,plain,
% 50.27/33.38 (~v101(constB197)),
% 50.27/33.38 inference(unit_resolution,[status(thm)],[32004, 49, 31998, 31995])).
% 50.27/33.38 tff(32006,plain,
% 50.27/33.38 (((~![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)))),
% 50.27/33.38 inference(rewrite,[status(thm)],[])).
% 50.27/33.38 tff(32007,plain,
% 50.27/33.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB196, constB197)) | v101(constB197) | (~v100(constB197)))),
% 50.27/33.38 inference(quant_inst,[status(thm)],[])).
% 50.27/33.38 tff(32008,plain,
% 50.27/33.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB196, constB197)) | v101(constB197) | (~v100(constB197))),
% 50.27/33.38 inference(modus_ponens,[status(thm)],[32007, 32006])).
% 50.27/33.38 tff(32009,plain,
% 50.27/33.38 (v101(constB197) | (~v100(constB197))),
% 50.27/33.38 inference(unit_resolution,[status(thm)],[32008, 66, 31998])).
% 50.27/33.38 tff(32010,plain,
% 50.27/33.38 (~v100(constB197)),
% 50.27/33.38 inference(unit_resolution,[status(thm)],[32009, 32005])).
% 50.27/33.38 tff(32011,plain,
% 50.27/33.38 (((~![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)))),
% 50.27/33.38 inference(rewrite,[status(thm)],[])).
% 50.27/33.38 tff(32012,plain,
% 50.27/33.38 (((~nextState(constB196, constB197)) | v90(constB196, bitIndex2) | v100(constB197) | (~v90(constB197, bitIndex2))) <=> (v90(constB196, bitIndex2) | (~nextState(constB196, constB197)) | v100(constB197) | (~v90(constB197, bitIndex2)))),
% 50.27/33.38 inference(rewrite,[status(thm)],[])).
% 50.27/33.38 tff(32013,plain,
% 50.27/33.38 (((~![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))))),
% 50.27/33.38 inference(monotonicity,[status(thm)],[32012])).
% 50.27/33.38 tff(32014,plain,
% 50.27/33.38 (((~![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)))),
% 50.27/33.38 inference(transitivity,[status(thm)],[32013, 32011])).
% 50.27/33.38 tff(32015,plain,
% 50.27/33.38 ((~![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)))),
% 50.27/33.38 inference(quant_inst,[status(thm)],[])).
% 50.27/33.38 tff(32016,plain,
% 50.27/33.38 ((~![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))),
% 50.27/33.38 inference(modus_ponens,[status(thm)],[32015, 32014])).
% 50.27/33.38 tff(32017,plain,
% 50.27/33.38 (v90(constB196, bitIndex2) | v100(constB197) | (~v90(constB197, bitIndex2))),
% 50.27/33.38 inference(unit_resolution,[status(thm)],[32016, 81, 31998])).
% 50.27/33.38 tff(32018,plain,
% 50.27/33.38 (v90(constB196, bitIndex2) | (~v90(constB197, bitIndex2))),
% 50.27/33.38 inference(unit_resolution,[status(thm)],[32017, 32010])).
% 50.27/33.38 tff(32019,plain,
% 50.27/33.38 (~v90(constB197, bitIndex2)),
% 50.27/33.38 inference(unit_resolution,[status(thm)],[32018, 31992])).
% 50.27/33.38 tff(32020,plain,
% 50.27/33.38 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB197, bitIndex2) | (~v88(constB197, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB197, bitIndex2) | (~v88(constB197, bitIndex2)))),
% 50.27/33.38 inference(rewrite,[status(thm)],[])).
% 50.27/33.38 tff(32021,plain,
% 50.27/33.38 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB197, bitIndex2) | (~v88(constB197, bitIndex2)))),
% 50.27/33.38 inference(quant_inst,[status(thm)],[])).
% 50.27/33.38 tff(32022,plain,
% 50.27/33.38 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB197, bitIndex2) | (~v88(constB197, bitIndex2))),
% 50.27/33.38 inference(modus_ponens,[status(thm)],[32021, 32020])).
% 50.27/33.38 tff(32023,plain,
% 50.27/33.38 (~v88(constB197, bitIndex2)),
% 50.27/33.38 inference(unit_resolution,[status(thm)],[32022, 8769, 32019])).
% 50.27/33.38 tff(32024,assumption,(~v121(constB195)), introduced(assumption)).
% 50.27/33.38 tff(32025,assumption,(~v130(constB195, bitIndex0)), introduced(assumption)).
% 50.27/33.38 tff(32026,assumption,(~v124(constB195)), introduced(assumption)).
% 50.27/33.38 tff(32027,assumption,(~v120(constB195)), introduced(assumption)).
% 50.27/33.38 tff(32028,plain,
% 50.27/33.38 (~v90(constB195, bitIndex0)),
% 50.27/33.38 inference(unit_resolution,[status(thm)],[29044, 27554])).
% 50.27/33.38 tff(32029,plain,
% 50.27/33.38 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB195, bitIndex0) | (~v122(constB195)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB195, bitIndex0) | (~v122(constB195)))),
% 50.27/33.38 inference(rewrite,[status(thm)],[])).
% 50.27/33.38 tff(32030,plain,
% 50.27/33.38 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | (v90(constB195, bitIndex0) | (~v122(constB195)))),
% 50.27/33.38 inference(quant_inst,[status(thm)],[])).
% 50.27/33.38 tff(32031,plain,
% 50.27/33.38 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v122(VarCurr)))) | v90(constB195, bitIndex0) | (~v122(constB195))),
% 50.27/33.38 inference(modus_ponens,[status(thm)],[32030, 32029])).
% 50.27/33.38 tff(32032,plain,
% 50.27/33.38 (~v122(constB195)),
% 50.27/33.38 inference(unit_resolution,[status(thm)],[32031, 2921, 32028])).
% 50.27/33.38 tff(32033,assumption,(~v123(constB195)), introduced(assumption)).
% 50.27/33.38 tff(32034,plain,
% 50.27/33.38 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB195, bitIndex0) | v124(constB195) | v120(constB195) | v119(constB195) | v121(constB195) | v122(constB195) | v123(constB195))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB195, bitIndex0) | v124(constB195) | v120(constB195) | v119(constB195) | v121(constB195) | v122(constB195) | v123(constB195))),
% 50.27/33.38 inference(rewrite,[status(thm)],[])).
% 50.27/33.38 tff(32035,plain,
% 50.27/33.38 ((v120(constB195) | v119(constB195) | v121(constB195) | v122(constB195) | v123(constB195) | v124(constB195) | v130(constB195, bitIndex0)) <=> (v130(constB195, bitIndex0) | v124(constB195) | v120(constB195) | v119(constB195) | v121(constB195) | v122(constB195) | v123(constB195))),
% 50.27/33.38 inference(rewrite,[status(thm)],[])).
% 50.27/33.38 tff(32036,plain,
% 50.27/33.38 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB195) | v119(constB195) | v121(constB195) | v122(constB195) | v123(constB195) | v124(constB195) | v130(constB195, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v130(constB195, bitIndex0) | v124(constB195) | v120(constB195) | v119(constB195) | v121(constB195) | v122(constB195) | v123(constB195)))),
% 50.27/33.38 inference(monotonicity,[status(thm)],[32035])).
% 50.27/33.38 tff(32037,plain,
% 50.27/33.38 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB195) | v119(constB195) | v121(constB195) | v122(constB195) | v123(constB195) | v124(constB195) | v130(constB195, bitIndex0))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB195, bitIndex0) | v124(constB195) | v120(constB195) | v119(constB195) | v121(constB195) | v122(constB195) | v123(constB195))),
% 50.27/33.38 inference(transitivity,[status(thm)],[32036, 32034])).
% 50.27/33.38 tff(32038,plain,
% 50.27/33.38 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | (v120(constB195) | v119(constB195) | v121(constB195) | v122(constB195) | v123(constB195) | v124(constB195) | v130(constB195, bitIndex0))),
% 50.27/33.38 inference(quant_inst,[status(thm)],[])).
% 50.27/33.38 tff(32039,plain,
% 50.27/33.38 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, bitIndex0))) | v130(constB195, bitIndex0) | v124(constB195) | v120(constB195) | v119(constB195) | v121(constB195) | v122(constB195) | v123(constB195)),
% 50.27/33.38 inference(modus_ponens,[status(thm)],[32038, 32037])).
% 50.27/33.38 tff(32040,plain,
% 50.27/33.38 (v130(constB195, bitIndex0) | v124(constB195) | v120(constB195) | v119(constB195) | v121(constB195) | v122(constB195)),
% 50.27/33.38 inference(unit_resolution,[status(thm)],[32039, 908, 32033])).
% 50.27/33.38 tff(32041,plain,
% 50.27/33.38 (v119(constB195)),
% 50.27/33.38 inference(unit_resolution,[status(thm)],[32040, 32032, 32027, 32026, 32025, 32024])).
% 50.27/33.38 tff(32042,plain,
% 50.27/33.38 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB195)) | (~v90(constB195, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB195)) | (~v90(constB195, bitIndex2)))),
% 50.27/33.38 inference(rewrite,[status(thm)],[])).
% 50.27/33.38 tff(32043,plain,
% 50.27/33.38 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | ((~v119(constB195)) | (~v90(constB195, bitIndex2)))),
% 50.27/33.38 inference(quant_inst,[status(thm)],[])).
% 50.27/33.38 tff(32044,plain,
% 50.27/33.38 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v90(VarCurr, bitIndex2)))) | (~v119(constB195)) | (~v90(constB195, bitIndex2))),
% 50.27/33.38 inference(modus_ponens,[status(thm)],[32043, 32042])).
% 50.27/33.38 tff(32045,plain,
% 50.27/33.38 (~v90(constB195, bitIndex2)),
% 50.27/33.38 inference(unit_resolution,[status(thm)],[32044, 861, 32041])).
% 50.27/33.38 tff(32046,plain,
% 50.27/33.38 (~v90(constB194, bitIndex2)),
% 50.27/33.38 inference(unit_resolution,[status(thm)],[29065, 32045])).
% 50.27/33.38 tff(32047,plain,
% 50.27/33.38 (~v90(constB195, bitIndex1)),
% 50.27/33.38 inference(unit_resolution,[status(thm)],[31895, 2293, 32041])).
% 50.27/33.38 tff(32048,plain,
% 50.27/33.38 (~v90(constB194, bitIndex1)),
% 50.27/33.38 inference(unit_resolution,[status(thm)],[29084, 32047])).
% 50.27/33.38 tff(32049,plain,
% 50.27/33.38 ($false),
% 50.27/33.38 inference(unit_resolution,[status(thm)],[27703, 32048, 32046, 27554])).
% 50.27/33.38 tff(32050,plain,(v90(constB194, bitIndex0) | v120(constB195) | v124(constB195) | v130(constB195, bitIndex0) | v121(constB195) | v123(constB195)), inference(lemma,lemma(discharge,[]))).
% 50.27/33.38 tff(32051,plain,
% 50.27/33.38 (v130(constB195, bitIndex0)),
% 50.27/33.38 inference(unit_resolution,[status(thm)],[32050, 31888, 29018, 31884, 31880, 31892])).
% 50.27/33.38 tff(32052,plain,
% 50.27/33.38 (((~![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))) | v26(constB195) | (~v130(constB195, bitIndex0)) | v127(constB195, bitIndex0))),
% 50.27/33.38 inference(rewrite,[status(thm)],[])).
% 50.27/33.38 tff(32053,plain,
% 50.27/33.38 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | (v26(constB195) | (~v130(constB195, bitIndex0)) | v127(constB195, bitIndex0))),
% 50.27/33.38 inference(quant_inst,[status(thm)],[])).
% 50.27/33.38 tff(32054,plain,
% 50.27/33.38 ((~![VarCurr: $i] : (v26(VarCurr) | (~v130(VarCurr, bitIndex0)) | v127(VarCurr, bitIndex0))) | v26(constB195) | (~v130(constB195, bitIndex0)) | v127(constB195, bitIndex0)),
% 50.27/33.38 inference(modus_ponens,[status(thm)],[32053, 32052])).
% 50.27/33.38 tff(32055,plain,
% 50.27/33.38 ((~v130(constB195, bitIndex0)) | v127(constB195, bitIndex0)),
% 50.27/33.38 inference(unit_resolution,[status(thm)],[32054, 926, 31907])).
% 50.27/33.38 tff(32056,plain,
% 50.27/33.38 (v127(constB195, bitIndex0)),
% 50.27/33.38 inference(unit_resolution,[status(thm)],[32055, 32051])).
% 50.27/33.38 tff(32057,plain,
% 50.27/33.38 (((~![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))),
% 50.27/33.38 inference(rewrite,[status(thm)],[])).
% 50.27/33.38 tff(32058,plain,
% 50.27/33.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | ((~nextState(constB195, constB196)) | (~v127(constB195, bitIndex0)) | v129(constB196, bitIndex0))),
% 50.27/33.38 inference(quant_inst,[status(thm)],[])).
% 50.27/33.38 tff(32059,plain,
% 50.27/33.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, bitIndex0)) | v129(VarNext, bitIndex0))) | (~nextState(constB195, constB196)) | (~v127(constB195, bitIndex0)) | v129(constB196, bitIndex0)),
% 50.27/33.38 inference(modus_ponens,[status(thm)],[32058, 32057])).
% 50.27/33.38 tff(32060,plain,
% 50.27/33.38 ((~v127(constB195, bitIndex0)) | v129(constB196, bitIndex0)),
% 50.27/33.38 inference(unit_resolution,[status(thm)],[32059, 944, 31918])).
% 50.27/33.38 tff(32061,plain,
% 50.27/33.38 (v129(constB196, bitIndex0)),
% 50.27/33.38 inference(unit_resolution,[status(thm)],[32060, 32056])).
% 50.27/33.38 tff(32062,plain,
% 50.27/33.38 (((~![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)))),
% 50.27/33.38 inference(rewrite,[status(thm)],[])).
% 50.27/33.38 tff(32063,plain,
% 50.27/33.38 ((v90(constB196, bitIndex0) | (~v100(constB196)) | (~v129(constB196, bitIndex0))) <=> (v90(constB196, bitIndex0) | (~v129(constB196, bitIndex0)) | (~v100(constB196)))),
% 50.27/33.38 inference(rewrite,[status(thm)],[])).
% 50.27/33.38 tff(32064,plain,
% 50.27/33.38 (((~![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))))),
% 50.27/33.38 inference(monotonicity,[status(thm)],[32063])).
% 50.27/33.38 tff(32065,plain,
% 50.27/33.38 (((~![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)))),
% 50.27/33.38 inference(transitivity,[status(thm)],[32064, 32062])).
% 50.27/33.38 tff(32066,plain,
% 50.27/33.38 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | (v90(constB196, bitIndex0) | (~v100(constB196)) | (~v129(constB196, bitIndex0)))),
% 50.27/33.38 inference(quant_inst,[status(thm)],[])).
% 50.27/33.38 tff(32067,plain,
% 50.27/33.38 ((~![VarNext: $i] : (v90(VarNext, bitIndex0) | (~v100(VarNext)) | (~v129(VarNext, bitIndex0)))) | v90(constB196, bitIndex0) | (~v129(constB196, bitIndex0)) | (~v100(constB196))),
% 50.27/33.38 inference(modus_ponens,[status(thm)],[32066, 32065])).
% 50.27/33.38 tff(32068,plain,
% 50.27/33.38 (v90(constB196, bitIndex0) | (~v100(constB196))),
% 50.27/33.38 inference(unit_resolution,[status(thm)],[32067, 1088, 32061])).
% 50.27/33.38 tff(32069,plain,
% 50.27/33.38 (v90(constB196, bitIndex0)),
% 50.27/33.38 inference(unit_resolution,[status(thm)],[32068, 31985])).
% 50.27/33.38 tff(32070,assumption,(v90(constB196, bitIndex0)), introduced(assumption)).
% 50.27/33.38 tff(32071,assumption,(v123(constB193)), introduced(assumption)).
% 50.27/33.38 tff(32072,plain,
% 50.27/33.38 (~v130(constB193, bitIndex0)),
% 50.27/33.38 inference(unit_resolution,[status(thm)],[28993, 975, 32071])).
% 50.27/33.38 tff(32073,plain,
% 50.27/33.38 (~v127(constB193, bitIndex0)),
% 50.27/33.38 inference(unit_resolution,[status(thm)],[29001, 32072])).
% 50.27/33.38 tff(32074,plain,
% 50.27/33.38 (~v129(constB194, bitIndex0)),
% 50.27/33.38 inference(unit_resolution,[status(thm)],[29006, 32073])).
% 50.27/33.38 tff(32075,assumption,(v100(constB194)), introduced(assumption)).
% 50.27/33.38 tff(32076,plain,
% 50.27/33.38 ((~v90(constB194, bitIndex0)) | v129(constB194, bitIndex0)),
% 50.27/33.38 inference(unit_resolution,[status(thm)],[29016, 557, 32075])).
% 50.27/33.38 tff(32077,plain,
% 50.27/33.38 (~v90(constB194, bitIndex0)),
% 50.27/33.38 inference(unit_resolution,[status(thm)],[32076, 32074])).
% 50.27/33.38 tff(32078,plain,
% 50.27/33.38 (~v90(constB195, bitIndex0)),
% 50.27/33.38 inference(unit_resolution,[status(thm)],[29044, 32077])).
% 50.27/33.38 tff(32079,plain,
% 50.27/33.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB195, bitIndex0) | (~nextState(constB195, constB196)) | v100(constB196) | (~v90(constB196, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB195, bitIndex0) | (~nextState(constB195, constB196)) | v100(constB196) | (~v90(constB196, bitIndex0)))),
% 50.27/33.38 inference(rewrite,[status(thm)],[])).
% 50.27/33.38 tff(32080,plain,
% 50.27/33.38 (((~nextState(constB195, constB196)) | v90(constB195, bitIndex0) | v100(constB196) | (~v90(constB196, bitIndex0))) <=> (v90(constB195, bitIndex0) | (~nextState(constB195, constB196)) | v100(constB196) | (~v90(constB196, bitIndex0)))),
% 50.27/33.38 inference(rewrite,[status(thm)],[])).
% 50.27/33.38 tff(32081,plain,
% 50.27/33.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB195, constB196)) | v90(constB195, bitIndex0) | v100(constB196) | (~v90(constB196, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | (v90(constB195, bitIndex0) | (~nextState(constB195, constB196)) | v100(constB196) | (~v90(constB196, bitIndex0))))),
% 50.27/33.38 inference(monotonicity,[status(thm)],[32080])).
% 50.27/33.38 tff(32082,plain,
% 50.27/33.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB195, constB196)) | v90(constB195, bitIndex0) | v100(constB196) | (~v90(constB196, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB195, bitIndex0) | (~nextState(constB195, constB196)) | v100(constB196) | (~v90(constB196, bitIndex0)))),
% 50.27/33.38 inference(transitivity,[status(thm)],[32081, 32079])).
% 50.27/33.38 tff(32083,plain,
% 50.27/33.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | ((~nextState(constB195, constB196)) | v90(constB195, bitIndex0) | v100(constB196) | (~v90(constB196, bitIndex0)))),
% 50.27/33.38 inference(quant_inst,[status(thm)],[])).
% 50.27/33.38 tff(32084,plain,
% 50.27/33.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, bitIndex0) | v100(VarNext) | (~v90(VarNext, bitIndex0)))) | v90(constB195, bitIndex0) | (~nextState(constB195, constB196)) | v100(constB196) | (~v90(constB196, bitIndex0))),
% 50.27/33.38 inference(modus_ponens,[status(thm)],[32083, 32082])).
% 50.27/33.38 tff(32085,plain,
% 50.27/33.38 (v90(constB195, bitIndex0) | v100(constB196) | (~v90(constB196, bitIndex0))),
% 50.27/33.38 inference(unit_resolution,[status(thm)],[32084, 123, 31918])).
% 50.27/33.38 tff(32086,plain,
% 50.27/33.38 (v100(constB196)),
% 50.27/33.38 inference(unit_resolution,[status(thm)],[32085, 32078, 32070])).
% 50.27/33.38 tff(32087,assumption,(v90(constB196, bitIndex1)), introduced(assumption)).
% 50.27/33.38 tff(32088,plain,
% 50.27/33.38 (((~![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)))),
% 50.27/33.38 inference(rewrite,[status(thm)],[])).
% 50.27/33.38 tff(32089,plain,
% 50.27/33.38 (((~v90(constB196, bitIndex1)) | (~v100(constB196)) | v129(constB196, bitIndex1)) <=> ((~v90(constB196, bitIndex1)) | v129(constB196, bitIndex1) | (~v100(constB196)))),
% 50.27/33.38 inference(rewrite,[status(thm)],[])).
% 50.27/33.38 tff(32090,plain,
% 50.27/33.38 (((~![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))))),
% 50.27/33.38 inference(monotonicity,[status(thm)],[32089])).
% 50.27/33.38 tff(32091,plain,
% 50.27/33.38 (((~![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)))),
% 50.27/33.38 inference(transitivity,[status(thm)],[32090, 32088])).
% 50.27/33.38 tff(32092,plain,
% 50.27/33.38 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | ((~v90(constB196, bitIndex1)) | (~v100(constB196)) | v129(constB196, bitIndex1))),
% 50.27/33.38 inference(quant_inst,[status(thm)],[])).
% 50.27/33.38 tff(32093,plain,
% 50.27/33.38 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex1)) | (~v100(VarNext)) | v129(VarNext, bitIndex1))) | (~v90(constB196, bitIndex1)) | v129(constB196, bitIndex1) | (~v100(constB196))),
% 50.27/33.38 inference(modus_ponens,[status(thm)],[32092, 32091])).
% 50.27/33.38 tff(32094,plain,
% 50.27/33.38 (v129(constB196, bitIndex1) | (~v100(constB196))),
% 50.27/33.38 inference(unit_resolution,[status(thm)],[32093, 483, 32087])).
% 50.27/33.38 tff(32095,plain,
% 50.27/33.38 (v129(constB196, bitIndex1)),
% 50.27/33.38 inference(unit_resolution,[status(thm)],[32094, 32086])).
% 50.27/33.38 tff(32096,plain,
% 50.27/33.38 (((~![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)))),
% 50.27/33.38 inference(rewrite,[status(thm)],[])).
% 50.27/33.38 tff(32097,plain,
% 50.27/33.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | ((~nextState(constB195, constB196)) | v127(constB195, bitIndex1) | (~v129(constB196, bitIndex1)))),
% 50.27/33.38 inference(quant_inst,[status(thm)],[])).
% 50.27/33.38 tff(32098,plain,
% 50.27/33.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex1) | (~v129(VarNext, bitIndex1)))) | (~nextState(constB195, constB196)) | v127(constB195, bitIndex1) | (~v129(constB196, bitIndex1))),
% 50.27/33.38 inference(modus_ponens,[status(thm)],[32097, 32096])).
% 50.27/33.38 tff(32099,plain,
% 50.27/33.38 (v127(constB195, bitIndex1) | (~v129(constB196, bitIndex1))),
% 50.27/33.38 inference(unit_resolution,[status(thm)],[32098, 468, 31918])).
% 50.27/33.38 tff(32100,plain,
% 50.27/33.38 (v127(constB195, bitIndex1)),
% 50.27/33.38 inference(unit_resolution,[status(thm)],[32099, 32095])).
% 50.27/33.38 tff(32101,plain,
% 50.27/33.38 (((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | ((~v127(constB195, bitIndex1)) | v26(constB195) | v130(constB195, bitIndex1))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB195, bitIndex1)) | v26(constB195) | v130(constB195, bitIndex1))),
% 50.27/33.38 inference(rewrite,[status(thm)],[])).
% 50.27/33.38 tff(32102,plain,
% 50.27/33.38 ((v26(constB195) | v130(constB195, bitIndex1) | (~v127(constB195, bitIndex1))) <=> ((~v127(constB195, bitIndex1)) | v26(constB195) | v130(constB195, bitIndex1))),
% 50.27/33.38 inference(rewrite,[status(thm)],[])).
% 50.27/33.38 tff(32103,plain,
% 50.27/33.38 (((~![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)))) | ((~v127(constB195, bitIndex1)) | v26(constB195) | v130(constB195, bitIndex1)))),
% 50.27/33.38 inference(monotonicity,[status(thm)],[32102])).
% 50.27/33.38 tff(32104,plain,
% 50.27/33.38 (((~![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)))) | (~v127(constB195, bitIndex1)) | v26(constB195) | v130(constB195, bitIndex1))),
% 50.27/33.38 inference(transitivity,[status(thm)],[32103, 32101])).
% 50.27/33.38 tff(32105,plain,
% 50.27/33.38 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (v26(constB195) | v130(constB195, bitIndex1) | (~v127(constB195, bitIndex1)))),
% 50.27/33.38 inference(quant_inst,[status(thm)],[])).
% 50.27/33.38 tff(32106,plain,
% 50.27/33.38 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex1) | (~v127(VarCurr, bitIndex1)))) | (~v127(constB195, bitIndex1)) | v26(constB195) | v130(constB195, bitIndex1)),
% 50.27/33.38 inference(modus_ponens,[status(thm)],[32105, 32104])).
% 50.27/33.38 tff(32107,plain,
% 50.27/33.38 ((~v127(constB195, bitIndex1)) | v130(constB195, bitIndex1)),
% 50.27/33.38 inference(unit_resolution,[status(thm)],[32106, 450, 31907])).
% 50.27/33.38 tff(32108,plain,
% 50.27/33.38 (v130(constB195, bitIndex1)),
% 50.27/33.38 inference(unit_resolution,[status(thm)],[32107, 32100])).
% 50.27/33.38 tff(32109,plain,
% 50.27/33.38 (((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB195)) | (~v130(constB195, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB195)) | (~v130(constB195, bitIndex1)))),
% 50.27/33.38 inference(rewrite,[status(thm)],[])).
% 50.27/33.38 tff(32110,plain,
% 50.27/33.38 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v122(constB195)) | (~v130(constB195, bitIndex1)))),
% 50.27/33.38 inference(quant_inst,[status(thm)],[])).
% 50.27/33.38 tff(32111,plain,
% 50.27/33.38 ((~![VarCurr: $i] : ((~v122(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v122(constB195)) | (~v130(constB195, bitIndex1))),
% 50.27/33.38 inference(modus_ponens,[status(thm)],[32110, 32109])).
% 50.27/33.38 tff(32112,plain,
% 50.27/33.38 (~v122(constB195)),
% 50.27/33.38 inference(unit_resolution,[status(thm)],[32111, 1935, 32108])).
% 50.27/33.38 tff(32113,plain,
% 50.27/33.38 (v130(constB193, bitIndex1)),
% 50.27/33.38 inference(unit_resolution,[status(thm)],[27685, 667, 32071])).
% 50.27/33.38 tff(32114,plain,
% 50.27/33.38 (v127(constB193, bitIndex1)),
% 50.27/33.38 inference(unit_resolution,[status(thm)],[29072, 32113])).
% 50.27/33.38 tff(32115,plain,
% 50.27/33.38 (v129(constB194, bitIndex1)),
% 50.27/33.38 inference(unit_resolution,[status(thm)],[27656, 32114])).
% 50.27/33.38 tff(32116,plain,
% 50.27/33.38 (v90(constB194, bitIndex1) | (~v129(constB194, bitIndex1))),
% 50.27/33.38 inference(unit_resolution,[status(thm)],[27650, 711, 32075])).
% 50.27/33.38 tff(32117,plain,
% 50.27/33.38 (v90(constB194, bitIndex1)),
% 50.27/33.38 inference(unit_resolution,[status(thm)],[32116, 32115])).
% 50.27/33.38 tff(32118,plain,
% 50.27/33.38 (v90(constB195, bitIndex1)),
% 50.27/33.38 inference(unit_resolution,[status(thm)],[29084, 32117])).
% 50.27/33.38 tff(32119,plain,
% 50.27/33.38 (~v124(constB195)),
% 50.27/33.38 inference(unit_resolution,[status(thm)],[31879, 763, 32118])).
% 50.27/33.38 tff(32120,plain,
% 50.27/33.38 (((~![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)))),
% 50.27/33.38 inference(rewrite,[status(thm)],[])).
% 50.27/33.38 tff(32121,plain,
% 50.27/33.38 (((~v90(constB196, bitIndex0)) | (~v100(constB196)) | v129(constB196, bitIndex0)) <=> ((~v90(constB196, bitIndex0)) | v129(constB196, bitIndex0) | (~v100(constB196)))),
% 50.27/33.38 inference(rewrite,[status(thm)],[])).
% 50.27/33.38 tff(32122,plain,
% 50.27/33.38 (((~![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))))),
% 50.27/33.38 inference(monotonicity,[status(thm)],[32121])).
% 50.27/33.38 tff(32123,plain,
% 50.27/33.38 (((~![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)))),
% 50.27/33.38 inference(transitivity,[status(thm)],[32122, 32120])).
% 50.27/33.38 tff(32124,plain,
% 50.27/33.38 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | ((~v90(constB196, bitIndex0)) | (~v100(constB196)) | v129(constB196, bitIndex0))),
% 50.27/33.38 inference(quant_inst,[status(thm)],[])).
% 50.27/33.38 tff(32125,plain,
% 50.27/33.38 ((~![VarNext: $i] : ((~v90(VarNext, bitIndex0)) | (~v100(VarNext)) | v129(VarNext, bitIndex0))) | (~v90(constB196, bitIndex0)) | v129(constB196, bitIndex0) | (~v100(constB196))),
% 50.27/33.38 inference(modus_ponens,[status(thm)],[32124, 32123])).
% 50.27/33.38 tff(32126,plain,
% 50.27/33.38 (v129(constB196, bitIndex0) | (~v100(constB196))),
% 50.27/33.38 inference(unit_resolution,[status(thm)],[32125, 557, 32070])).
% 50.27/33.38 tff(32127,plain,
% 50.27/33.38 (v129(constB196, bitIndex0)),
% 50.27/33.38 inference(unit_resolution,[status(thm)],[32126, 32086])).
% 50.27/33.38 tff(32128,plain,
% 50.27/33.38 (((~![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)))),
% 50.27/33.38 inference(rewrite,[status(thm)],[])).
% 50.27/33.38 tff(32129,plain,
% 50.27/33.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | ((~nextState(constB195, constB196)) | v127(constB195, bitIndex0) | (~v129(constB196, bitIndex0)))),
% 50.27/33.39 inference(quant_inst,[status(thm)],[])).
% 50.27/33.39 tff(32130,plain,
% 50.27/33.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, bitIndex0) | (~v129(VarNext, bitIndex0)))) | (~nextState(constB195, constB196)) | v127(constB195, bitIndex0) | (~v129(constB196, bitIndex0))),
% 50.27/33.39 inference(modus_ponens,[status(thm)],[32129, 32128])).
% 50.27/33.39 tff(32131,plain,
% 50.27/33.39 (v127(constB195, bitIndex0) | (~v129(constB196, bitIndex0))),
% 50.27/33.39 inference(unit_resolution,[status(thm)],[32130, 542, 31918])).
% 50.27/33.39 tff(32132,plain,
% 50.27/33.39 (v127(constB195, bitIndex0)),
% 50.27/33.39 inference(unit_resolution,[status(thm)],[32131, 32127])).
% 50.27/33.39 tff(32133,plain,
% 50.27/33.39 (((~![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))),
% 50.27/33.39 inference(rewrite,[status(thm)],[])).
% 50.27/33.39 tff(32134,plain,
% 50.27/33.39 ((v26(constB195) | v130(constB195, bitIndex0) | (~v127(constB195, bitIndex0))) <=> ((~v127(constB195, bitIndex0)) | v26(constB195) | v130(constB195, bitIndex0))),
% 50.27/33.39 inference(rewrite,[status(thm)],[])).
% 50.27/33.39 tff(32135,plain,
% 50.27/33.39 (((~![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)))),
% 50.27/33.39 inference(monotonicity,[status(thm)],[32134])).
% 50.27/33.39 tff(32136,plain,
% 50.27/33.39 (((~![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))),
% 50.27/33.39 inference(transitivity,[status(thm)],[32135, 32133])).
% 50.27/33.39 tff(32137,plain,
% 50.27/33.39 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (v26(constB195) | v130(constB195, bitIndex0) | (~v127(constB195, bitIndex0)))),
% 50.27/33.39 inference(quant_inst,[status(thm)],[])).
% 50.27/33.39 tff(32138,plain,
% 50.27/33.39 ((~![VarCurr: $i] : (v26(VarCurr) | v130(VarCurr, bitIndex0) | (~v127(VarCurr, bitIndex0)))) | (~v127(constB195, bitIndex0)) | v26(constB195) | v130(constB195, bitIndex0)),
% 50.27/33.39 inference(modus_ponens,[status(thm)],[32137, 32136])).
% 50.27/33.39 tff(32139,plain,
% 50.27/33.39 ((~v127(constB195, bitIndex0)) | v130(constB195, bitIndex0)),
% 50.27/33.39 inference(unit_resolution,[status(thm)],[32138, 524, 31907])).
% 50.27/33.39 tff(32140,plain,
% 50.27/33.39 (v130(constB195, bitIndex0)),
% 50.27/33.39 inference(unit_resolution,[status(thm)],[32139, 32132])).
% 50.27/33.39 tff(32141,plain,
% 50.27/33.39 (((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB195)) | (~v130(constB195, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB195)) | (~v130(constB195, bitIndex0)))),
% 50.27/33.39 inference(rewrite,[status(thm)],[])).
% 50.27/33.39 tff(32142,plain,
% 50.27/33.39 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | ((~v120(constB195)) | (~v130(constB195, bitIndex0)))),
% 50.27/33.39 inference(quant_inst,[status(thm)],[])).
% 50.27/33.39 tff(32143,plain,
% 50.27/33.39 ((~![VarCurr: $i] : ((~v120(VarCurr)) | (~v130(VarCurr, bitIndex0)))) | (~v120(constB195)) | (~v130(constB195, bitIndex0))),
% 50.27/33.39 inference(modus_ponens,[status(thm)],[32142, 32141])).
% 50.27/33.39 tff(32144,plain,
% 50.27/33.39 (~v120(constB195)),
% 50.27/33.39 inference(unit_resolution,[status(thm)],[32143, 1492, 32140])).
% 50.27/33.39 tff(32145,plain,
% 50.27/33.39 (((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB195)) | (~v130(constB195, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB195)) | (~v130(constB195, bitIndex1)))),
% 50.27/33.39 inference(rewrite,[status(thm)],[])).
% 50.27/33.39 tff(32146,plain,
% 50.27/33.39 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | ((~v119(constB195)) | (~v130(constB195, bitIndex1)))),
% 50.27/33.39 inference(quant_inst,[status(thm)],[])).
% 50.27/33.39 tff(32147,plain,
% 50.27/33.39 ((~![VarCurr: $i] : ((~v119(VarCurr)) | (~v130(VarCurr, bitIndex1)))) | (~v119(constB195)) | (~v130(constB195, bitIndex1))),
% 50.27/33.39 inference(modus_ponens,[status(thm)],[32146, 32145])).
% 50.27/33.39 tff(32148,plain,
% 50.27/33.39 (~v119(constB195)),
% 50.27/33.39 inference(unit_resolution,[status(thm)],[32147, 436, 32108])).
% 50.27/33.39 tff(32149,plain,
% 50.27/33.39 (v130(constB193, bitIndex2)),
% 50.27/33.39 inference(unit_resolution,[status(thm)],[29052, 836, 32071])).
% 50.27/33.39 tff(32150,plain,
% 50.27/33.39 (v127(constB193, bitIndex2)),
% 50.27/33.39 inference(unit_resolution,[status(thm)],[27621, 32149])).
% 50.27/33.39 tff(32151,plain,
% 50.27/33.39 (v129(constB194, bitIndex2)),
% 50.27/33.39 inference(unit_resolution,[status(thm)],[27616, 32150])).
% 50.27/33.39 tff(32152,plain,
% 50.27/33.39 (v90(constB194, bitIndex2) | (~v129(constB194, bitIndex2))),
% 50.27/33.39 inference(unit_resolution,[status(thm)],[27611, 381, 32075])).
% 50.27/33.39 tff(32153,plain,
% 50.27/33.39 (v90(constB194, bitIndex2)),
% 50.27/33.39 inference(unit_resolution,[status(thm)],[32152, 32151])).
% 50.27/33.39 tff(32154,plain,
% 50.27/33.39 (v90(constB195, bitIndex2)),
% 50.27/33.39 inference(unit_resolution,[status(thm)],[29065, 32153])).
% 50.27/33.39 tff(32155,plain,
% 50.27/33.39 (~v121(constB195)),
% 50.27/33.39 inference(unit_resolution,[status(thm)],[31887, 883, 32154])).
% 50.27/33.39 tff(32156,plain,
% 50.27/33.39 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB195, bitIndex1)) | v124(constB195) | v120(constB195) | v119(constB195) | v121(constB195) | v122(constB195) | v123(constB195))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB195, bitIndex1)) | v124(constB195) | v120(constB195) | v119(constB195) | v121(constB195) | v122(constB195) | v123(constB195))),
% 50.27/33.39 inference(rewrite,[status(thm)],[])).
% 50.27/33.39 tff(32157,plain,
% 50.27/33.39 ((v120(constB195) | v119(constB195) | v121(constB195) | v122(constB195) | v123(constB195) | v124(constB195) | (~v130(constB195, bitIndex1))) <=> ((~v130(constB195, bitIndex1)) | v124(constB195) | v120(constB195) | v119(constB195) | v121(constB195) | v122(constB195) | v123(constB195))),
% 50.27/33.39 inference(rewrite,[status(thm)],[])).
% 50.27/33.39 tff(32158,plain,
% 50.27/33.39 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB195) | v119(constB195) | v121(constB195) | v122(constB195) | v123(constB195) | v124(constB195) | (~v130(constB195, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | ((~v130(constB195, bitIndex1)) | v124(constB195) | v120(constB195) | v119(constB195) | v121(constB195) | v122(constB195) | v123(constB195)))),
% 50.27/33.39 inference(monotonicity,[status(thm)],[32157])).
% 50.27/33.39 tff(32159,plain,
% 50.27/33.39 (((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB195) | v119(constB195) | v121(constB195) | v122(constB195) | v123(constB195) | v124(constB195) | (~v130(constB195, bitIndex1)))) <=> ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB195, bitIndex1)) | v124(constB195) | v120(constB195) | v119(constB195) | v121(constB195) | v122(constB195) | v123(constB195))),
% 50.27/33.39 inference(transitivity,[status(thm)],[32158, 32156])).
% 50.27/33.39 tff(32160,plain,
% 50.27/33.39 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (v120(constB195) | v119(constB195) | v121(constB195) | v122(constB195) | v123(constB195) | v124(constB195) | (~v130(constB195, bitIndex1)))),
% 50.27/33.39 inference(quant_inst,[status(thm)],[])).
% 50.27/33.39 tff(32161,plain,
% 50.27/33.39 ((~![VarCurr: $i] : (v120(VarCurr) | v119(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, bitIndex1)))) | (~v130(constB195, bitIndex1)) | v124(constB195) | v120(constB195) | v119(constB195) | v121(constB195) | v122(constB195) | v123(constB195)),
% 50.27/33.39 inference(modus_ponens,[status(thm)],[32160, 32159])).
% 50.27/33.39 tff(32162,plain,
% 50.27/33.39 (v124(constB195) | v120(constB195) | v119(constB195) | v121(constB195) | v122(constB195)),
% 50.27/33.39 inference(unit_resolution,[status(thm)],[32161, 1143, 32033, 32108])).
% 50.27/33.39 tff(32163,plain,
% 50.27/33.39 ($false),
% 50.27/33.39 inference(unit_resolution,[status(thm)],[32162, 32155, 32148, 32144, 32119, 32112])).
% 50.27/33.39 tff(32164,plain,((~v123(constB193)) | v123(constB195) | (~v90(constB196, bitIndex0)) | (~v90(constB196, bitIndex1)) | (~v100(constB194))), inference(lemma,lemma(discharge,[]))).
% 50.27/33.39 tff(32165,plain,
% 50.27/33.39 (~v90(constB196, bitIndex1)),
% 50.27/33.39 inference(unit_resolution,[status(thm)],[32164, 32069, 29010, 28990, 31892])).
% 50.27/33.39 tff(32166,plain,
% 50.27/33.39 (((~![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)))),
% 50.27/33.39 inference(rewrite,[status(thm)],[])).
% 50.27/33.39 tff(32167,plain,
% 50.27/33.39 (((~nextState(constB196, constB197)) | v90(constB196, bitIndex1) | v100(constB197) | (~v90(constB197, bitIndex1))) <=> (v90(constB196, bitIndex1) | (~nextState(constB196, constB197)) | v100(constB197) | (~v90(constB197, bitIndex1)))),
% 50.27/33.39 inference(rewrite,[status(thm)],[])).
% 50.27/33.39 tff(32168,plain,
% 50.27/33.39 (((~![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))))),
% 50.27/33.39 inference(monotonicity,[status(thm)],[32167])).
% 50.27/33.39 tff(32169,plain,
% 50.27/33.39 (((~![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)))),
% 50.27/33.39 inference(transitivity,[status(thm)],[32168, 32166])).
% 50.27/33.39 tff(32170,plain,
% 50.27/33.39 ((~![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)))),
% 50.27/33.39 inference(quant_inst,[status(thm)],[])).
% 50.27/33.39 tff(32171,plain,
% 50.27/33.39 ((~![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))),
% 50.27/33.39 inference(modus_ponens,[status(thm)],[32170, 32169])).
% 50.27/33.39 tff(32172,plain,
% 50.27/33.39 (v90(constB196, bitIndex1) | v100(constB197) | (~v90(constB197, bitIndex1))),
% 50.27/33.39 inference(unit_resolution,[status(thm)],[32171, 102, 31998])).
% 50.27/33.39 tff(32173,plain,
% 50.27/33.39 (v90(constB196, bitIndex1) | (~v90(constB197, bitIndex1))),
% 50.27/33.39 inference(unit_resolution,[status(thm)],[32172, 32010])).
% 50.27/33.39 tff(32174,plain,
% 50.27/33.39 (~v90(constB197, bitIndex1)),
% 50.27/33.39 inference(unit_resolution,[status(thm)],[32173, 32165])).
% 50.27/33.39 tff(32175,plain,
% 50.27/33.39 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB197, bitIndex1) | (~v88(constB197, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB197, bitIndex1) | (~v88(constB197, bitIndex1)))),
% 50.27/33.39 inference(rewrite,[status(thm)],[])).
% 50.27/33.39 tff(32176,plain,
% 50.27/33.39 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB197, bitIndex1) | (~v88(constB197, bitIndex1)))),
% 50.27/33.39 inference(quant_inst,[status(thm)],[])).
% 50.27/33.39 tff(32177,plain,
% 50.27/33.39 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB197, bitIndex1) | (~v88(constB197, bitIndex1))),
% 50.27/33.39 inference(modus_ponens,[status(thm)],[32176, 32175])).
% 50.27/33.39 tff(32178,plain,
% 50.27/33.39 (~v88(constB197, bitIndex1)),
% 50.27/33.39 inference(unit_resolution,[status(thm)],[32177, 10126, 32174])).
% 50.27/33.39 tff(32179,plain,
% 50.27/33.39 (((~![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))),
% 50.27/33.39 inference(rewrite,[status(thm)],[])).
% 50.27/33.39 tff(32180,plain,
% 50.27/33.39 (((~nextState(constB196, constB197)) | (~v90(constB196, bitIndex0)) | v100(constB197) | v90(constB197, bitIndex0)) <=> ((~v90(constB196, bitIndex0)) | (~nextState(constB196, constB197)) | v100(constB197) | v90(constB197, bitIndex0))),
% 50.27/33.39 inference(rewrite,[status(thm)],[])).
% 50.27/33.39 tff(32181,plain,
% 50.27/33.39 (((~![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)))),
% 50.27/33.39 inference(monotonicity,[status(thm)],[32180])).
% 50.27/33.39 tff(32182,plain,
% 50.27/33.39 (((~![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))),
% 50.27/33.39 inference(transitivity,[status(thm)],[32181, 32179])).
% 50.27/33.39 tff(32183,plain,
% 50.27/33.39 ((~![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))),
% 50.27/33.39 inference(quant_inst,[status(thm)],[])).
% 50.27/33.39 tff(32184,plain,
% 50.27/33.39 ((~![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)),
% 50.27/33.39 inference(modus_ponens,[status(thm)],[32183, 32182])).
% 50.27/33.39 tff(32185,plain,
% 50.27/33.39 ((~v90(constB196, bitIndex0)) | v100(constB197) | v90(constB197, bitIndex0)),
% 50.27/33.39 inference(unit_resolution,[status(thm)],[32184, 1124, 31998])).
% 50.27/33.39 tff(32186,plain,
% 50.27/33.39 ((~v90(constB196, bitIndex0)) | v90(constB197, bitIndex0)),
% 50.27/33.39 inference(unit_resolution,[status(thm)],[32185, 32010])).
% 50.27/33.39 tff(32187,plain,
% 50.27/33.39 (v90(constB197, bitIndex0)),
% 50.27/33.39 inference(unit_resolution,[status(thm)],[32186, 32069])).
% 50.27/33.39 tff(32188,plain,
% 50.27/33.39 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB197, bitIndex0)) | v88(constB197, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB197, bitIndex0)) | v88(constB197, bitIndex0))),
% 50.27/33.39 inference(rewrite,[status(thm)],[])).
% 50.27/33.39 tff(32189,plain,
% 50.27/33.39 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB197, bitIndex0)) | v88(constB197, bitIndex0))),
% 50.27/33.39 inference(quant_inst,[status(thm)],[])).
% 50.27/33.39 tff(32190,plain,
% 50.27/33.39 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB197, bitIndex0)) | v88(constB197, bitIndex0)),
% 50.27/33.39 inference(modus_ponens,[status(thm)],[32189, 32188])).
% 50.27/33.39 tff(32191,plain,
% 50.27/33.39 (v88(constB197, bitIndex0)),
% 50.27/33.39 inference(unit_resolution,[status(thm)],[32190, 8662, 32187])).
% 50.27/33.39 tff(32192,plain,
% 50.27/33.39 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | ((~v88(constB197, bitIndex0)) | v88(constB197, bitIndex2) | v88(constB197, bitIndex1) | v140(constB197))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB197, bitIndex0)) | v88(constB197, bitIndex2) | v88(constB197, bitIndex1) | v140(constB197))),
% 50.27/33.39 inference(rewrite,[status(thm)],[])).
% 50.27/33.39 tff(32193,plain,
% 50.27/33.39 ((v88(constB197, bitIndex2) | v88(constB197, bitIndex1) | (~v88(constB197, bitIndex0)) | v140(constB197)) <=> ((~v88(constB197, bitIndex0)) | v88(constB197, bitIndex2) | v88(constB197, bitIndex1) | v140(constB197))),
% 50.27/33.39 inference(rewrite,[status(thm)],[])).
% 50.27/33.39 tff(32194,plain,
% 50.27/33.39 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB197, bitIndex2) | v88(constB197, bitIndex1) | (~v88(constB197, bitIndex0)) | v140(constB197))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | ((~v88(constB197, bitIndex0)) | v88(constB197, bitIndex2) | v88(constB197, bitIndex1) | v140(constB197)))),
% 50.27/33.39 inference(monotonicity,[status(thm)],[32193])).
% 50.27/33.39 tff(32195,plain,
% 50.27/33.39 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB197, bitIndex2) | v88(constB197, bitIndex1) | (~v88(constB197, bitIndex0)) | v140(constB197))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB197, bitIndex0)) | v88(constB197, bitIndex2) | v88(constB197, bitIndex1) | v140(constB197))),
% 50.27/33.39 inference(transitivity,[status(thm)],[32194, 32192])).
% 50.27/33.39 tff(32196,plain,
% 50.27/33.39 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB197, bitIndex2) | v88(constB197, bitIndex1) | (~v88(constB197, bitIndex0)) | v140(constB197))),
% 50.27/33.39 inference(quant_inst,[status(thm)],[])).
% 50.27/33.39 tff(32197,plain,
% 50.27/33.39 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB197, bitIndex0)) | v88(constB197, bitIndex2) | v88(constB197, bitIndex1) | v140(constB197)),
% 50.27/33.39 inference(modus_ponens,[status(thm)],[32196, 32195])).
% 50.27/33.39 tff(32198,plain,
% 50.27/33.39 (v140(constB197)),
% 50.27/33.39 inference(unit_resolution,[status(thm)],[32197, 10178, 32191, 32178, 32023])).
% 50.27/33.39 tff(32199,plain,
% 50.27/33.39 (((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB197) | (~v140(constB197)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB197) | (~v140(constB197)))),
% 50.27/33.39 inference(rewrite,[status(thm)],[])).
% 50.27/33.39 tff(32200,plain,
% 50.27/33.39 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB197) | (~v140(constB197)))),
% 50.27/33.39 inference(quant_inst,[status(thm)],[])).
% 50.27/33.39 tff(32201,plain,
% 50.27/33.39 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB197) | (~v140(constB197))),
% 50.27/33.39 inference(modus_ponens,[status(thm)],[32200, 32199])).
% 50.27/33.39 tff(32202,plain,
% 50.27/33.39 (v200(constB197)),
% 50.27/33.39 inference(unit_resolution,[status(thm)],[32201, 10192, 32198])).
% 50.27/33.39 tff(32203,plain,
% 50.27/33.39 (((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB197) | (~v200(constB197)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB197) | (~v200(constB197)))),
% 50.27/33.39 inference(rewrite,[status(thm)],[])).
% 50.27/33.39 tff(32204,plain,
% 50.27/33.39 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB197) | (~v200(constB197)))),
% 50.27/33.39 inference(quant_inst,[status(thm)],[])).
% 50.27/33.39 tff(32205,plain,
% 50.27/33.39 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB197) | (~v200(constB197))),
% 50.27/33.39 inference(modus_ponens,[status(thm)],[32204, 32203])).
% 50.27/33.39 tff(32206,plain,
% 50.27/33.39 (v199(constB197)),
% 50.27/33.39 inference(unit_resolution,[status(thm)],[32205, 10203, 32202])).
% 50.27/33.39 tff(32207,plain,
% 50.27/33.39 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB197) | (~v199(constB197)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB197) | (~v199(constB197)))),
% 50.27/33.39 inference(rewrite,[status(thm)],[])).
% 50.27/33.39 tff(32208,plain,
% 50.27/33.39 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB197) | (~v199(constB197)))),
% 50.27/33.39 inference(quant_inst,[status(thm)],[])).
% 50.27/33.39 tff(32209,plain,
% 50.27/33.39 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB197) | (~v199(constB197))),
% 50.27/33.39 inference(modus_ponens,[status(thm)],[32208, 32207])).
% 50.27/33.39 tff(32210,plain,
% 50.27/33.39 (v198(constB197)),
% 50.27/33.39 inference(unit_resolution,[status(thm)],[32209, 8809, 32206])).
% 50.27/33.39 tff(32211,plain,
% 50.27/33.39 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB197)) | (~v201(constB197)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB197)) | (~v201(constB197)))),
% 50.27/33.39 inference(rewrite,[status(thm)],[])).
% 50.27/33.39 tff(32212,plain,
% 50.27/33.39 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB197)) | (~v201(constB197)))),
% 50.27/33.39 inference(quant_inst,[status(thm)],[])).
% 50.27/33.39 tff(32213,plain,
% 50.27/33.39 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB197)) | (~v201(constB197))),
% 50.27/33.39 inference(modus_ponens,[status(thm)],[32212, 32211])).
% 50.27/33.39 tff(32214,plain,
% 50.27/33.39 (~v201(constB197)),
% 50.27/33.39 inference(unit_resolution,[status(thm)],[32213, 8823, 32210])).
% 50.27/33.39 tff(32215,plain,
% 50.27/33.39 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB197) | (~v198(constB197)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB197) | (~v198(constB197)))),
% 50.27/33.39 inference(rewrite,[status(thm)],[])).
% 50.27/33.39 tff(32216,plain,
% 50.27/33.39 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB197) | (~v198(constB197)))),
% 50.27/33.39 inference(quant_inst,[status(thm)],[])).
% 50.27/33.39 tff(32217,plain,
% 50.27/33.39 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB197) | (~v198(constB197))),
% 50.27/33.39 inference(modus_ponens,[status(thm)],[32216, 32215])).
% 50.27/33.39 tff(32218,plain,
% 50.27/33.39 (v197(constB197)),
% 50.27/33.39 inference(unit_resolution,[status(thm)],[32217, 8834, 32210])).
% 50.27/33.39 tff(32219,plain,
% 50.27/33.39 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB197) | (~v197(constB197)) | v201(constB197))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB197) | (~v197(constB197)) | v201(constB197))),
% 50.27/33.39 inference(rewrite,[status(thm)],[])).
% 50.27/33.39 tff(32220,plain,
% 50.27/33.39 (((~v197(constB197)) | v201(constB197) | v227(constB197)) <=> (v227(constB197) | (~v197(constB197)) | v201(constB197))),
% 50.27/33.39 inference(rewrite,[status(thm)],[])).
% 50.27/33.39 tff(32221,plain,
% 50.27/33.39 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB197)) | v201(constB197) | v227(constB197))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB197) | (~v197(constB197)) | v201(constB197)))),
% 50.27/33.39 inference(monotonicity,[status(thm)],[32220])).
% 50.27/33.39 tff(32222,plain,
% 50.27/33.39 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB197)) | v201(constB197) | v227(constB197))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB197) | (~v197(constB197)) | v201(constB197))),
% 50.27/33.39 inference(transitivity,[status(thm)],[32221, 32219])).
% 50.27/33.39 tff(32223,plain,
% 50.27/33.39 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB197)) | v201(constB197) | v227(constB197))),
% 50.27/33.39 inference(quant_inst,[status(thm)],[])).
% 50.27/33.39 tff(32224,plain,
% 50.27/33.39 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB197) | (~v197(constB197)) | v201(constB197)),
% 50.27/33.39 inference(modus_ponens,[status(thm)],[32223, 32222])).
% 50.27/33.39 tff(32225,plain,
% 50.27/33.39 (v227(constB197)),
% 50.27/33.39 inference(unit_resolution,[status(thm)],[32224, 8848, 32218, 32214])).
% 50.27/33.39 tff(32226,plain,
% 50.27/33.39 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB197)) | (~v223(constB197, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB197)) | (~v223(constB197, bitIndex0)))),
% 50.27/33.39 inference(rewrite,[status(thm)],[])).
% 50.27/33.39 tff(32227,plain,
% 50.27/33.39 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB197)) | (~v223(constB197, bitIndex0)))),
% 50.27/33.39 inference(quant_inst,[status(thm)],[])).
% 50.27/33.39 tff(32228,plain,
% 50.27/33.39 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB197)) | (~v223(constB197, bitIndex0))),
% 50.27/33.39 inference(modus_ponens,[status(thm)],[32227, 32226])).
% 50.27/33.39 tff(32229,plain,
% 50.27/33.39 (~v223(constB197, bitIndex0)),
% 50.27/33.39 inference(unit_resolution,[status(thm)],[32228, 8862, 32225])).
% 50.27/33.39 tff(32230,plain,
% 50.27/33.39 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB197)) | (~v199(constB197)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB197)) | (~v199(constB197)))),
% 50.27/33.39 inference(rewrite,[status(thm)],[])).
% 50.27/33.39 tff(32231,plain,
% 50.27/33.39 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB197)) | (~v199(constB197)))),
% 50.27/33.39 inference(quant_inst,[status(thm)],[])).
% 50.27/33.39 tff(32232,plain,
% 50.27/33.39 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB197)) | (~v199(constB197))),
% 50.27/33.39 inference(modus_ponens,[status(thm)],[32231, 32230])).
% 50.27/33.39 tff(32233,plain,
% 50.27/33.39 (~v183(constB197)),
% 50.27/33.39 inference(unit_resolution,[status(thm)],[32232, 8873, 32206])).
% 50.27/33.39 tff(32234,plain,
% 50.27/33.39 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB197) | (~v197(constB197)) | v183(constB197))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB197) | (~v197(constB197)) | v183(constB197))),
% 50.27/33.39 inference(rewrite,[status(thm)],[])).
% 50.27/33.39 tff(32235,plain,
% 50.27/33.39 (((~v197(constB197)) | v183(constB197) | v228(constB197)) <=> (v228(constB197) | (~v197(constB197)) | v183(constB197))),
% 50.27/33.39 inference(rewrite,[status(thm)],[])).
% 50.27/33.39 tff(32236,plain,
% 50.27/33.39 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB197)) | v183(constB197) | v228(constB197))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB197) | (~v197(constB197)) | v183(constB197)))),
% 50.27/33.39 inference(monotonicity,[status(thm)],[32235])).
% 50.27/33.39 tff(32237,plain,
% 50.27/33.39 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB197)) | v183(constB197) | v228(constB197))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB197) | (~v197(constB197)) | v183(constB197))),
% 50.27/33.39 inference(transitivity,[status(thm)],[32236, 32234])).
% 50.27/33.39 tff(32238,plain,
% 50.27/33.39 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB197)) | v183(constB197) | v228(constB197))),
% 50.27/33.39 inference(quant_inst,[status(thm)],[])).
% 50.27/33.39 tff(32239,plain,
% 50.27/33.39 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB197) | (~v197(constB197)) | v183(constB197)),
% 50.27/33.39 inference(modus_ponens,[status(thm)],[32238, 32237])).
% 50.27/33.39 tff(32240,plain,
% 50.27/33.39 (v228(constB197)),
% 50.27/33.39 inference(unit_resolution,[status(thm)],[32239, 8887, 32218, 32233])).
% 50.27/33.39 tff(32241,plain,
% 50.27/33.39 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB197)) | (~v223(constB197, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB197)) | (~v223(constB197, bitIndex1)))),
% 50.27/33.39 inference(rewrite,[status(thm)],[])).
% 50.27/33.39 tff(32242,plain,
% 50.27/33.39 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB197)) | (~v223(constB197, bitIndex1)))),
% 50.27/33.39 inference(quant_inst,[status(thm)],[])).
% 50.27/33.39 tff(32243,plain,
% 50.27/33.39 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB197)) | (~v223(constB197, bitIndex1))),
% 50.27/33.39 inference(modus_ponens,[status(thm)],[32242, 32241])).
% 50.27/33.39 tff(32244,plain,
% 50.27/33.39 (~v223(constB197, bitIndex1)),
% 50.27/33.39 inference(unit_resolution,[status(thm)],[32243, 8901, 32240])).
% 50.27/33.39 tff(32245,plain,
% 50.27/33.39 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB197, bitIndex1) | v223(constB197, bitIndex0) | (~v229(constB197)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB197, bitIndex1) | v223(constB197, bitIndex0) | (~v229(constB197)))),
% 50.27/33.39 inference(rewrite,[status(thm)],[])).
% 50.27/33.39 tff(32246,plain,
% 50.27/33.39 ((v223(constB197, bitIndex0) | v223(constB197, bitIndex1) | (~v229(constB197))) <=> (v223(constB197, bitIndex1) | v223(constB197, bitIndex0) | (~v229(constB197)))),
% 50.27/33.39 inference(rewrite,[status(thm)],[])).
% 50.27/33.39 tff(32247,plain,
% 50.27/33.39 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB197, bitIndex0) | v223(constB197, bitIndex1) | (~v229(constB197)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB197, bitIndex1) | v223(constB197, bitIndex0) | (~v229(constB197))))),
% 50.27/33.39 inference(monotonicity,[status(thm)],[32246])).
% 50.27/33.39 tff(32248,plain,
% 50.27/33.39 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB197, bitIndex0) | v223(constB197, bitIndex1) | (~v229(constB197)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB197, bitIndex1) | v223(constB197, bitIndex0) | (~v229(constB197)))),
% 50.27/33.39 inference(transitivity,[status(thm)],[32247, 32245])).
% 50.27/33.39 tff(32249,plain,
% 50.27/33.39 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB197, bitIndex0) | v223(constB197, bitIndex1) | (~v229(constB197)))),
% 50.27/33.39 inference(quant_inst,[status(thm)],[])).
% 50.27/33.39 tff(32250,plain,
% 50.27/33.39 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB197, bitIndex1) | v223(constB197, bitIndex0) | (~v229(constB197))),
% 50.27/33.39 inference(modus_ponens,[status(thm)],[32249, 32248])).
% 50.27/33.39 tff(32251,plain,
% 50.27/33.39 (~v229(constB197)),
% 50.27/33.39 inference(unit_resolution,[status(thm)],[32250, 8915, 32244, 32229])).
% 50.27/33.39 tff(32252,plain,
% 50.27/33.39 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB197) | (~v225(constB197)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB197) | (~v225(constB197)))),
% 50.27/33.39 inference(rewrite,[status(thm)],[])).
% 50.27/33.39 tff(32253,plain,
% 50.27/33.39 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB197) | (~v225(constB197)))),
% 50.27/33.39 inference(quant_inst,[status(thm)],[])).
% 50.27/33.39 tff(32254,plain,
% 50.27/33.39 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB197) | (~v225(constB197))),
% 50.27/33.39 inference(modus_ponens,[status(thm)],[32253, 32252])).
% 50.27/33.39 tff(32255,plain,
% 50.27/33.39 (~v225(constB197)),
% 50.27/33.39 inference(unit_resolution,[status(thm)],[32254, 8929, 32251])).
% 50.27/33.39 tff(32256,plain,
% 50.27/33.39 (((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB197)) | (~v200(constB197)))) <=> ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB197)) | (~v200(constB197)))),
% 50.27/33.39 inference(rewrite,[status(thm)],[])).
% 50.27/33.39 tff(32257,plain,
% 50.27/33.39 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB197)) | (~v200(constB197)))),
% 50.27/33.39 inference(quant_inst,[status(thm)],[])).
% 50.27/33.39 tff(32258,plain,
% 50.27/33.39 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB197)) | (~v200(constB197))),
% 50.27/33.39 inference(modus_ponens,[status(thm)],[32257, 32256])).
% 50.27/33.39 tff(32259,plain,
% 50.27/33.39 (~v166(constB197)),
% 50.27/33.39 inference(unit_resolution,[status(thm)],[32258, 10263, 32202])).
% 50.27/33.39 tff(32260,plain,
% 50.27/33.39 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB197) | (~v197(constB197)) | v166(constB197))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB197) | (~v197(constB197)) | v166(constB197))),
% 50.27/33.39 inference(rewrite,[status(thm)],[])).
% 50.27/33.39 tff(32261,plain,
% 50.27/33.39 (((~v197(constB197)) | v166(constB197) | v241(constB197)) <=> (v241(constB197) | (~v197(constB197)) | v166(constB197))),
% 50.27/33.39 inference(rewrite,[status(thm)],[])).
% 50.27/33.39 tff(32262,plain,
% 50.27/33.39 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB197)) | v166(constB197) | v241(constB197))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB197) | (~v197(constB197)) | v166(constB197)))),
% 50.27/33.39 inference(monotonicity,[status(thm)],[32261])).
% 50.27/33.39 tff(32263,plain,
% 50.27/33.39 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB197)) | v166(constB197) | v241(constB197))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB197) | (~v197(constB197)) | v166(constB197))),
% 50.27/33.39 inference(transitivity,[status(thm)],[32262, 32260])).
% 50.27/33.39 tff(32264,plain,
% 50.27/33.39 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB197)) | v166(constB197) | v241(constB197))),
% 50.27/33.39 inference(quant_inst,[status(thm)],[])).
% 50.27/33.39 tff(32265,plain,
% 50.27/33.39 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB197) | (~v197(constB197)) | v166(constB197)),
% 50.27/33.39 inference(modus_ponens,[status(thm)],[32264, 32263])).
% 50.27/33.39 tff(32266,plain,
% 50.27/33.39 (v241(constB197) | (~v197(constB197))),
% 50.27/33.39 inference(unit_resolution,[status(thm)],[32265, 10277, 32259])).
% 50.27/33.39 tff(32267,plain,
% 50.27/33.39 (v241(constB197)),
% 50.27/33.39 inference(unit_resolution,[status(thm)],[32266, 32218])).
% 50.27/33.39 tff(32268,plain,
% 50.27/33.39 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB197)) | (~v223(constB197, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB197)) | (~v223(constB197, bitIndex2)))),
% 50.27/33.39 inference(rewrite,[status(thm)],[])).
% 50.27/33.39 tff(32269,plain,
% 50.27/33.39 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB197)) | (~v223(constB197, bitIndex2)))),
% 50.27/33.39 inference(quant_inst,[status(thm)],[])).
% 50.27/33.39 tff(32270,plain,
% 50.27/33.39 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB197)) | (~v223(constB197, bitIndex2))),
% 50.27/33.39 inference(modus_ponens,[status(thm)],[32269, 32268])).
% 50.27/33.39 tff(32271,plain,
% 50.27/33.39 (~v223(constB197, bitIndex2)),
% 50.27/33.39 inference(unit_resolution,[status(thm)],[32270, 10292, 32267])).
% 50.27/33.39 tff(32272,plain,
% 50.27/33.39 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v223(constB197, bitIndex2) | v225(constB197) | (~v242(constB197)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v223(constB197, bitIndex2) | v225(constB197) | (~v242(constB197)))),
% 50.27/33.39 inference(rewrite,[status(thm)],[])).
% 50.27/33.39 tff(32273,plain,
% 50.27/33.40 ((v225(constB197) | v223(constB197, bitIndex2) | (~v242(constB197))) <=> (v223(constB197, bitIndex2) | v225(constB197) | (~v242(constB197)))),
% 50.27/33.40 inference(rewrite,[status(thm)],[])).
% 50.27/33.40 tff(32274,plain,
% 50.27/33.40 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB197) | v223(constB197, bitIndex2) | (~v242(constB197)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v223(constB197, bitIndex2) | v225(constB197) | (~v242(constB197))))),
% 50.27/33.40 inference(monotonicity,[status(thm)],[32273])).
% 50.27/33.40 tff(32275,plain,
% 50.27/33.40 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB197) | v223(constB197, bitIndex2) | (~v242(constB197)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v223(constB197, bitIndex2) | v225(constB197) | (~v242(constB197)))),
% 50.27/33.40 inference(transitivity,[status(thm)],[32274, 32272])).
% 50.27/33.40 tff(32276,plain,
% 50.27/33.40 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB197) | v223(constB197, bitIndex2) | (~v242(constB197)))),
% 50.27/33.40 inference(quant_inst,[status(thm)],[])).
% 50.27/33.40 tff(32277,plain,
% 50.27/33.40 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v223(constB197, bitIndex2) | v225(constB197) | (~v242(constB197))),
% 50.27/33.40 inference(modus_ponens,[status(thm)],[32276, 32275])).
% 50.27/33.40 tff(32278,plain,
% 50.27/33.40 (v225(constB197) | (~v242(constB197))),
% 50.27/33.40 inference(unit_resolution,[status(thm)],[32277, 10306, 32271])).
% 50.27/33.40 tff(32279,plain,
% 50.27/33.40 (~v242(constB197)),
% 50.27/33.40 inference(unit_resolution,[status(thm)],[32278, 32255])).
% 50.27/33.40 tff(32280,plain,
% 50.27/33.40 (((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB197) | (~v238(constB197)))) <=> ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB197) | (~v238(constB197)))),
% 50.27/33.40 inference(rewrite,[status(thm)],[])).
% 50.27/33.40 tff(32281,plain,
% 50.27/33.40 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB197) | (~v238(constB197)))),
% 50.27/33.40 inference(quant_inst,[status(thm)],[])).
% 50.27/33.40 tff(32282,plain,
% 50.27/33.40 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB197) | (~v238(constB197))),
% 50.27/33.40 inference(modus_ponens,[status(thm)],[32281, 32280])).
% 50.27/33.40 tff(32283,plain,
% 50.27/33.40 (~v238(constB197)),
% 50.27/33.40 inference(unit_resolution,[status(thm)],[32282, 10318, 32279])).
% 50.27/33.40 tff(32284,plain,
% 50.27/33.40 (((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB197) | (~v237(constB197)))) <=> ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB197) | (~v237(constB197)))),
% 50.27/33.40 inference(rewrite,[status(thm)],[])).
% 50.27/33.40 tff(32285,plain,
% 50.27/33.40 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB197) | (~v237(constB197)))),
% 50.27/33.40 inference(quant_inst,[status(thm)],[])).
% 50.27/33.40 tff(32286,plain,
% 50.27/33.40 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB197) | (~v237(constB197))),
% 50.27/33.40 inference(modus_ponens,[status(thm)],[32285, 32284])).
% 50.27/33.40 tff(32287,plain,
% 50.27/33.40 (~v237(constB197)),
% 50.27/33.40 inference(unit_resolution,[status(thm)],[32286, 10329, 32283])).
% 50.27/33.40 tff(32288,plain,
% 50.27/33.40 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB197)) | v223(constB197, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB197)) | v223(constB197, bitIndex2))),
% 50.27/33.40 inference(rewrite,[status(thm)],[])).
% 50.27/33.40 tff(32289,plain,
% 50.27/33.40 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB197)) | v223(constB197, bitIndex2))),
% 50.27/33.40 inference(quant_inst,[status(thm)],[])).
% 50.27/33.40 tff(32290,plain,
% 50.27/33.40 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB197)) | v223(constB197, bitIndex2)),
% 50.27/33.40 inference(modus_ponens,[status(thm)],[32289, 32288])).
% 50.27/33.40 tff(32291,plain,
% 50.27/33.40 (~v224(constB197)),
% 50.27/33.40 inference(unit_resolution,[status(thm)],[32290, 10343, 32271])).
% 50.27/33.40 tff(32292,plain,
% 50.27/33.40 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB197)) | v223(constB197, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB197)) | v223(constB197, bitIndex1))),
% 50.27/33.40 inference(rewrite,[status(thm)],[])).
% 50.27/33.40 tff(32293,plain,
% 50.27/33.40 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB197)) | v223(constB197, bitIndex1))),
% 50.27/33.40 inference(quant_inst,[status(thm)],[])).
% 50.27/33.40 tff(32294,plain,
% 50.27/33.40 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB197)) | v223(constB197, bitIndex1)),
% 50.27/33.40 inference(modus_ponens,[status(thm)],[32293, 32292])).
% 50.27/33.40 tff(32295,plain,
% 50.27/33.40 (~v222(constB197)),
% 50.27/33.40 inference(unit_resolution,[status(thm)],[32294, 8954, 32244])).
% 50.27/33.40 tff(32296,plain,
% 50.27/33.40 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB197) | v224(constB197) | (~v236(constB197)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB197) | v224(constB197) | (~v236(constB197)))),
% 50.27/33.40 inference(rewrite,[status(thm)],[])).
% 50.27/33.40 tff(32297,plain,
% 50.27/33.40 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB197) | v224(constB197) | (~v236(constB197)))),
% 50.27/33.40 inference(quant_inst,[status(thm)],[])).
% 50.27/33.40 tff(32298,plain,
% 50.27/33.40 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB197) | v224(constB197) | (~v236(constB197))),
% 50.27/33.40 inference(modus_ponens,[status(thm)],[32297, 32296])).
% 50.27/33.40 tff(32299,plain,
% 50.27/33.40 (~v236(constB197)),
% 50.27/33.40 inference(unit_resolution,[status(thm)],[32298, 8968, 32295, 32291])).
% 50.27/33.40 tff(32300,plain,
% 50.27/33.40 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB197) | (~v232(constB197)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB197) | (~v232(constB197)))),
% 50.27/33.40 inference(rewrite,[status(thm)],[])).
% 50.27/33.40 tff(32301,plain,
% 50.27/33.40 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB197) | (~v232(constB197)))),
% 50.27/33.40 inference(quant_inst,[status(thm)],[])).
% 50.27/33.40 tff(32302,plain,
% 50.27/33.40 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB197) | (~v232(constB197))),
% 50.27/33.40 inference(modus_ponens,[status(thm)],[32301, 32300])).
% 50.27/33.40 tff(32303,plain,
% 50.27/33.40 (~v232(constB197)),
% 50.27/33.40 inference(unit_resolution,[status(thm)],[32302, 8980, 32299])).
% 50.27/33.40 tff(32304,plain,
% 50.27/33.40 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB197) | (~v248(constB197)) | v232(constB197))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB197) | (~v248(constB197)) | v232(constB197))),
% 50.27/33.40 inference(rewrite,[status(thm)],[])).
% 50.27/33.40 tff(32305,plain,
% 50.27/33.40 ((v237(constB197) | v232(constB197) | (~v248(constB197))) <=> (v237(constB197) | (~v248(constB197)) | v232(constB197))),
% 50.27/33.40 inference(rewrite,[status(thm)],[])).
% 50.27/33.40 tff(32306,plain,
% 50.27/33.40 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB197) | v232(constB197) | (~v248(constB197)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB197) | (~v248(constB197)) | v232(constB197)))),
% 50.27/33.40 inference(monotonicity,[status(thm)],[32305])).
% 50.27/33.40 tff(32307,plain,
% 50.27/33.40 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB197) | v232(constB197) | (~v248(constB197)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB197) | (~v248(constB197)) | v232(constB197))),
% 50.27/33.40 inference(transitivity,[status(thm)],[32306, 32304])).
% 50.27/33.40 tff(32308,plain,
% 50.27/33.40 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB197) | v232(constB197) | (~v248(constB197)))),
% 50.27/33.40 inference(quant_inst,[status(thm)],[])).
% 50.27/33.40 tff(32309,plain,
% 50.27/33.40 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB197) | (~v248(constB197)) | v232(constB197)),
% 50.27/33.40 inference(modus_ponens,[status(thm)],[32308, 32307])).
% 50.27/33.40 tff(32310,plain,
% 50.27/33.40 (v237(constB197) | (~v248(constB197))),
% 50.27/33.40 inference(unit_resolution,[status(thm)],[32309, 9076, 32303])).
% 50.27/33.40 tff(32311,plain,
% 50.27/33.40 (~v248(constB197)),
% 50.27/33.40 inference(unit_resolution,[status(thm)],[32310, 32287])).
% 50.27/33.40 tff(32312,plain,
% 50.27/33.40 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB197) | (~v244(constB197)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB197) | (~v244(constB197)))),
% 50.27/33.40 inference(rewrite,[status(thm)],[])).
% 50.27/33.40 tff(32313,plain,
% 50.27/33.40 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB197) | (~v244(constB197)))),
% 50.27/33.40 inference(quant_inst,[status(thm)],[])).
% 50.27/33.40 tff(32314,plain,
% 50.27/33.40 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB197) | (~v244(constB197))),
% 50.27/33.40 inference(modus_ponens,[status(thm)],[32313, 32312])).
% 50.27/33.40 tff(32315,plain,
% 50.27/33.40 (~v244(constB197)),
% 50.27/33.40 inference(unit_resolution,[status(thm)],[32314, 11335, 32311])).
% 50.27/33.40 tff(32316,plain,
% 50.27/33.40 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB197) | (~v216(constB197, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB197) | (~v216(constB197, bitIndex1)))),
% 50.27/33.40 inference(rewrite,[status(thm)],[])).
% 50.27/33.40 tff(32317,plain,
% 50.27/33.40 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB197) | (~v216(constB197, bitIndex1)))),
% 50.27/33.40 inference(quant_inst,[status(thm)],[])).
% 50.27/33.40 tff(32318,plain,
% 50.27/33.40 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB197) | (~v216(constB197, bitIndex1))),
% 50.27/33.40 inference(modus_ponens,[status(thm)],[32317, 32316])).
% 50.27/33.40 tff(32319,plain,
% 50.27/33.40 (~v216(constB197, bitIndex1)),
% 50.27/33.40 inference(unit_resolution,[status(thm)],[32318, 11346, 32315])).
% 50.27/33.40 tff(32320,plain,
% 50.27/33.40 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB197, bitIndex1) | (~v254(constB197)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB197, bitIndex1) | (~v254(constB197)))),
% 50.27/33.40 inference(rewrite,[status(thm)],[])).
% 50.27/33.40 tff(32321,plain,
% 50.27/33.40 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB197, bitIndex1) | (~v254(constB197)))),
% 50.27/33.40 inference(quant_inst,[status(thm)],[])).
% 50.27/33.40 tff(32322,plain,
% 50.27/33.40 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB197, bitIndex1) | (~v254(constB197))),
% 50.27/33.40 inference(modus_ponens,[status(thm)],[32321, 32320])).
% 50.27/33.40 tff(32323,plain,
% 50.27/33.40 (~v254(constB197)),
% 50.27/33.40 inference(unit_resolution,[status(thm)],[32322, 11357, 32319])).
% 50.27/33.40 tff(32324,plain,
% 50.27/33.40 (((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB197) | (~v231(constB197)))) <=> ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB197) | (~v231(constB197)))),
% 50.27/33.40 inference(rewrite,[status(thm)],[])).
% 50.27/33.40 tff(32325,plain,
% 50.27/33.40 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB197) | (~v231(constB197)))),
% 50.27/33.40 inference(quant_inst,[status(thm)],[])).
% 50.27/33.40 tff(32326,plain,
% 50.27/33.40 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB197) | (~v231(constB197))),
% 50.27/33.40 inference(modus_ponens,[status(thm)],[32325, 32324])).
% 50.27/33.40 tff(32327,plain,
% 50.27/33.40 (~v231(constB197)),
% 50.27/33.40 inference(unit_resolution,[status(thm)],[32326, 24684, 32303])).
% 50.27/33.40 tff(32328,plain,
% 50.27/33.40 (((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB197) | (~v221(constB197)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB197) | (~v221(constB197)))),
% 50.27/33.40 inference(rewrite,[status(thm)],[])).
% 50.27/33.40 tff(32329,plain,
% 50.27/33.40 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB197) | (~v221(constB197)))),
% 50.27/33.40 inference(quant_inst,[status(thm)],[])).
% 50.27/33.40 tff(32330,plain,
% 50.27/33.40 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB197) | (~v221(constB197))),
% 50.27/33.40 inference(modus_ponens,[status(thm)],[32329, 32328])).
% 50.27/33.40 tff(32331,plain,
% 50.27/33.40 (~v221(constB197)),
% 50.27/33.40 inference(unit_resolution,[status(thm)],[32330, 11192, 32295])).
% 50.27/33.40 tff(32332,plain,
% 50.27/33.40 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB197) | v231(constB197) | (~v243(constB197)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB197) | v231(constB197) | (~v243(constB197)))),
% 50.27/33.40 inference(rewrite,[status(thm)],[])).
% 50.27/33.40 tff(32333,plain,
% 50.27/33.40 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB197) | v231(constB197) | (~v243(constB197)))),
% 50.27/33.40 inference(quant_inst,[status(thm)],[])).
% 50.27/33.40 tff(32334,plain,
% 50.27/33.40 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB197) | v231(constB197) | (~v243(constB197))),
% 50.27/33.40 inference(modus_ponens,[status(thm)],[32333, 32332])).
% 50.27/33.40 tff(32335,plain,
% 50.27/33.40 (v231(constB197) | (~v243(constB197))),
% 50.27/33.40 inference(unit_resolution,[status(thm)],[32334, 11206, 32331])).
% 50.27/33.40 tff(32336,plain,
% 50.27/33.40 (~v243(constB197)),
% 50.27/33.40 inference(unit_resolution,[status(thm)],[32335, 32327])).
% 50.27/33.40 tff(32337,plain,
% 50.27/33.40 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB197) | v255(constB197))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB197) | v255(constB197))),
% 50.27/33.40 inference(rewrite,[status(thm)],[])).
% 50.27/33.40 tff(32338,plain,
% 50.27/33.40 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB197) | v255(constB197))),
% 50.27/33.40 inference(quant_inst,[status(thm)],[])).
% 50.27/33.40 tff(32339,plain,
% 50.27/33.40 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB197) | v255(constB197)),
% 50.27/33.40 inference(modus_ponens,[status(thm)],[32338, 32337])).
% 50.27/33.40 tff(32340,plain,
% 50.27/33.40 (v255(constB197)),
% 50.27/33.40 inference(unit_resolution,[status(thm)],[32339, 11222, 32336])).
% 50.27/33.40 tff(32341,plain,
% 50.27/33.40 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB197)) | (~v216(constB197, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB197)) | (~v216(constB197, bitIndex2)))),
% 50.27/33.40 inference(rewrite,[status(thm)],[])).
% 50.27/33.40 tff(32342,plain,
% 50.27/33.40 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB197)) | (~v216(constB197, bitIndex2)))),
% 50.27/33.40 inference(quant_inst,[status(thm)],[])).
% 50.27/33.40 tff(32343,plain,
% 50.27/33.40 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB197)) | (~v216(constB197, bitIndex2))),
% 50.27/33.40 inference(modus_ponens,[status(thm)],[32342, 32341])).
% 50.27/33.40 tff(32344,plain,
% 50.27/33.40 (~v216(constB197, bitIndex2)),
% 50.27/33.40 inference(unit_resolution,[status(thm)],[32343, 11237, 32340])).
% 50.27/33.40 tff(32345,plain,
% 50.27/33.40 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB197, bitIndex2) | v254(constB197) | (~v215(constB197)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB197, bitIndex2) | v254(constB197) | (~v215(constB197)))),
% 50.27/33.40 inference(rewrite,[status(thm)],[])).
% 50.27/33.40 tff(32346,plain,
% 50.27/33.40 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB197, bitIndex2) | v254(constB197) | (~v215(constB197)))),
% 50.27/33.40 inference(quant_inst,[status(thm)],[])).
% 50.27/33.40 tff(32347,plain,
% 50.27/33.40 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB197, bitIndex2) | v254(constB197) | (~v215(constB197))),
% 50.27/33.40 inference(modus_ponens,[status(thm)],[32346, 32345])).
% 50.27/33.40 tff(32348,plain,
% 50.27/33.40 (v254(constB197) | (~v215(constB197))),
% 50.27/33.40 inference(unit_resolution,[status(thm)],[32347, 11278, 32344])).
% 50.27/33.40 tff(32349,plain,
% 50.27/33.40 (~v215(constB197)),
% 50.27/33.40 inference(unit_resolution,[status(thm)],[32348, 32323])).
% 50.27/33.40 tff(32350,plain,
% 50.27/33.40 ($false),
% 50.27/33.40 inference(unit_resolution,[status(thm)],[32349, 31872])).
% 50.27/33.40 tff(32351,plain,(~(constB197 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.27/33.40 tff(32352,assumption,(constB157 = sK0_VarCurr), introduced(assumption)).
% 50.27/33.40 tff(32353,plain,
% 50.27/33.40 (v215(constB157) <=> v215(sK0_VarCurr)),
% 50.27/33.40 inference(monotonicity,[status(thm)],[32352])).
% 50.27/33.40 tff(32354,plain,
% 50.27/33.40 (v215(sK0_VarCurr) <=> v215(constB157)),
% 50.27/33.40 inference(symmetry,[status(thm)],[32353])).
% 50.27/33.40 tff(32355,plain,
% 50.27/33.40 (v215(constB157)),
% 50.27/33.40 inference(modus_ponens,[status(thm)],[11268, 32354])).
% 50.27/33.40 tff(32356,plain,
% 50.27/33.40 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB157, bitIndex2) | (~v88(constB157, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB157, bitIndex2) | (~v88(constB157, bitIndex2)))),
% 50.27/33.40 inference(rewrite,[status(thm)],[])).
% 50.27/33.40 tff(32357,plain,
% 50.27/33.40 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB157, bitIndex2) | (~v88(constB157, bitIndex2)))),
% 50.27/33.40 inference(quant_inst,[status(thm)],[])).
% 50.27/33.40 tff(32358,plain,
% 50.27/33.40 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB157, bitIndex2) | (~v88(constB157, bitIndex2))),
% 50.27/33.40 inference(modus_ponens,[status(thm)],[32357, 32356])).
% 50.27/33.40 tff(32359,plain,
% 50.27/33.40 (~v88(constB157, bitIndex2)),
% 50.27/33.40 inference(unit_resolution,[status(thm)],[32358, 8769, 21309])).
% 50.27/33.40 tff(32360,plain,
% 50.27/33.40 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB157, bitIndex1) | (~v88(constB157, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB157, bitIndex1) | (~v88(constB157, bitIndex1)))),
% 50.27/33.40 inference(rewrite,[status(thm)],[])).
% 50.27/33.40 tff(32361,plain,
% 50.27/33.40 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB157, bitIndex1) | (~v88(constB157, bitIndex1)))),
% 50.27/33.40 inference(quant_inst,[status(thm)],[])).
% 50.27/33.40 tff(32362,plain,
% 50.27/33.40 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB157, bitIndex1) | (~v88(constB157, bitIndex1))),
% 50.27/33.40 inference(modus_ponens,[status(thm)],[32361, 32360])).
% 50.27/33.40 tff(32363,plain,
% 50.27/33.40 (~v88(constB157, bitIndex1)),
% 50.27/33.40 inference(unit_resolution,[status(thm)],[32362, 10126, 21346])).
% 50.27/33.40 tff(32364,plain,
% 50.27/33.40 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB157, bitIndex0)) | v88(constB157, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB157, bitIndex0)) | v88(constB157, bitIndex0))),
% 50.27/33.40 inference(rewrite,[status(thm)],[])).
% 50.27/33.40 tff(32365,plain,
% 50.27/33.40 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB157, bitIndex0)) | v88(constB157, bitIndex0))),
% 50.27/33.40 inference(quant_inst,[status(thm)],[])).
% 50.27/33.40 tff(32366,plain,
% 50.27/33.40 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB157, bitIndex0)) | v88(constB157, bitIndex0)),
% 50.27/33.40 inference(modus_ponens,[status(thm)],[32365, 32364])).
% 50.27/33.40 tff(32367,plain,
% 50.27/33.40 (v88(constB157, bitIndex0)),
% 50.27/33.40 inference(unit_resolution,[status(thm)],[32366, 8662, 21380])).
% 50.27/33.40 tff(32368,plain,
% 50.27/33.40 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB157, bitIndex2) | v88(constB157, bitIndex1) | (~v88(constB157, bitIndex0)) | v140(constB157))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB157, bitIndex2) | v88(constB157, bitIndex1) | (~v88(constB157, bitIndex0)) | v140(constB157))),
% 50.27/33.40 inference(rewrite,[status(thm)],[])).
% 50.27/33.40 tff(32369,plain,
% 50.27/33.40 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB157, bitIndex2) | v88(constB157, bitIndex1) | (~v88(constB157, bitIndex0)) | v140(constB157))),
% 50.27/33.40 inference(quant_inst,[status(thm)],[])).
% 50.27/33.40 tff(32370,plain,
% 50.27/33.40 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | v88(constB157, bitIndex2) | v88(constB157, bitIndex1) | (~v88(constB157, bitIndex0)) | v140(constB157)),
% 50.27/33.40 inference(modus_ponens,[status(thm)],[32369, 32368])).
% 50.27/33.40 tff(32371,plain,
% 50.27/33.40 (v140(constB157)),
% 50.27/33.40 inference(unit_resolution,[status(thm)],[32370, 10178, 32367, 32363, 32359])).
% 50.27/33.40 tff(32372,plain,
% 50.27/33.40 (((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB157) | (~v140(constB157)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB157) | (~v140(constB157)))),
% 50.27/33.40 inference(rewrite,[status(thm)],[])).
% 50.27/33.40 tff(32373,plain,
% 50.27/33.40 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB157) | (~v140(constB157)))),
% 50.27/33.40 inference(quant_inst,[status(thm)],[])).
% 50.27/33.40 tff(32374,plain,
% 50.27/33.40 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB157) | (~v140(constB157))),
% 50.27/33.40 inference(modus_ponens,[status(thm)],[32373, 32372])).
% 50.27/33.40 tff(32375,plain,
% 50.27/33.40 (v200(constB157)),
% 50.27/33.40 inference(unit_resolution,[status(thm)],[32374, 10192, 32371])).
% 50.27/33.40 tff(32376,plain,
% 50.27/33.40 (((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB157) | (~v200(constB157)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB157) | (~v200(constB157)))),
% 50.27/33.40 inference(rewrite,[status(thm)],[])).
% 50.27/33.40 tff(32377,plain,
% 50.27/33.40 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB157) | (~v200(constB157)))),
% 50.27/33.40 inference(quant_inst,[status(thm)],[])).
% 50.27/33.40 tff(32378,plain,
% 50.27/33.40 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB157) | (~v200(constB157))),
% 50.27/33.40 inference(modus_ponens,[status(thm)],[32377, 32376])).
% 50.27/33.40 tff(32379,plain,
% 50.27/33.40 (v199(constB157)),
% 50.27/33.40 inference(unit_resolution,[status(thm)],[32378, 10203, 32375])).
% 50.27/33.40 tff(32380,plain,
% 50.27/33.40 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB157) | (~v199(constB157)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB157) | (~v199(constB157)))),
% 50.27/33.40 inference(rewrite,[status(thm)],[])).
% 50.27/33.40 tff(32381,plain,
% 50.27/33.40 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB157) | (~v199(constB157)))),
% 50.27/33.40 inference(quant_inst,[status(thm)],[])).
% 50.27/33.40 tff(32382,plain,
% 50.27/33.40 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB157) | (~v199(constB157))),
% 50.27/33.40 inference(modus_ponens,[status(thm)],[32381, 32380])).
% 50.27/33.40 tff(32383,plain,
% 50.27/33.40 (v198(constB157)),
% 50.27/33.40 inference(unit_resolution,[status(thm)],[32382, 8809, 32379])).
% 50.27/33.40 tff(32384,plain,
% 50.27/33.40 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB157)) | (~v201(constB157)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB157)) | (~v201(constB157)))),
% 50.27/33.40 inference(rewrite,[status(thm)],[])).
% 50.27/33.40 tff(32385,plain,
% 50.27/33.40 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB157)) | (~v201(constB157)))),
% 50.27/33.40 inference(quant_inst,[status(thm)],[])).
% 50.27/33.40 tff(32386,plain,
% 50.27/33.40 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB157)) | (~v201(constB157))),
% 50.27/33.40 inference(modus_ponens,[status(thm)],[32385, 32384])).
% 50.27/33.40 tff(32387,plain,
% 50.27/33.40 (~v201(constB157)),
% 50.27/33.40 inference(unit_resolution,[status(thm)],[32386, 8823, 32383])).
% 50.27/33.40 tff(32388,plain,
% 50.27/33.40 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB157) | (~v198(constB157)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB157) | (~v198(constB157)))),
% 50.27/33.40 inference(rewrite,[status(thm)],[])).
% 50.27/33.40 tff(32389,plain,
% 50.27/33.40 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB157) | (~v198(constB157)))),
% 50.27/33.40 inference(quant_inst,[status(thm)],[])).
% 50.27/33.40 tff(32390,plain,
% 50.27/33.40 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB157) | (~v198(constB157))),
% 50.27/33.40 inference(modus_ponens,[status(thm)],[32389, 32388])).
% 50.27/33.40 tff(32391,plain,
% 50.27/33.40 (v197(constB157)),
% 50.27/33.40 inference(unit_resolution,[status(thm)],[32390, 8834, 32383])).
% 50.27/33.40 tff(32392,plain,
% 50.27/33.40 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB157) | (~v197(constB157)) | v201(constB157))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB157) | (~v197(constB157)) | v201(constB157))),
% 50.27/33.40 inference(rewrite,[status(thm)],[])).
% 50.27/33.40 tff(32393,plain,
% 50.27/33.40 (((~v197(constB157)) | v201(constB157) | v227(constB157)) <=> (v227(constB157) | (~v197(constB157)) | v201(constB157))),
% 50.27/33.40 inference(rewrite,[status(thm)],[])).
% 50.27/33.40 tff(32394,plain,
% 50.27/33.40 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB157)) | v201(constB157) | v227(constB157))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB157) | (~v197(constB157)) | v201(constB157)))),
% 50.27/33.40 inference(monotonicity,[status(thm)],[32393])).
% 50.27/33.40 tff(32395,plain,
% 50.27/33.40 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB157)) | v201(constB157) | v227(constB157))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB157) | (~v197(constB157)) | v201(constB157))),
% 50.27/33.40 inference(transitivity,[status(thm)],[32394, 32392])).
% 50.27/33.40 tff(32396,plain,
% 50.27/33.40 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB157)) | v201(constB157) | v227(constB157))),
% 50.27/33.40 inference(quant_inst,[status(thm)],[])).
% 50.27/33.40 tff(32397,plain,
% 50.27/33.40 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB157) | (~v197(constB157)) | v201(constB157)),
% 50.27/33.40 inference(modus_ponens,[status(thm)],[32396, 32395])).
% 50.27/33.40 tff(32398,plain,
% 50.27/33.40 (v227(constB157)),
% 50.27/33.40 inference(unit_resolution,[status(thm)],[32397, 8848, 32391, 32387])).
% 50.27/33.40 tff(32399,plain,
% 50.27/33.40 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB157)) | (~v223(constB157, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB157)) | (~v223(constB157, bitIndex0)))),
% 50.27/33.40 inference(rewrite,[status(thm)],[])).
% 50.27/33.40 tff(32400,plain,
% 50.27/33.40 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB157)) | (~v223(constB157, bitIndex0)))),
% 50.27/33.40 inference(quant_inst,[status(thm)],[])).
% 50.27/33.40 tff(32401,plain,
% 50.27/33.40 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB157)) | (~v223(constB157, bitIndex0))),
% 50.27/33.40 inference(modus_ponens,[status(thm)],[32400, 32399])).
% 50.27/33.40 tff(32402,plain,
% 50.27/33.40 (~v223(constB157, bitIndex0)),
% 50.27/33.40 inference(unit_resolution,[status(thm)],[32401, 8862, 32398])).
% 50.27/33.40 tff(32403,plain,
% 50.27/33.40 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB157)) | (~v199(constB157)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB157)) | (~v199(constB157)))),
% 50.27/33.40 inference(rewrite,[status(thm)],[])).
% 50.27/33.40 tff(32404,plain,
% 50.27/33.40 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB157)) | (~v199(constB157)))),
% 50.27/33.40 inference(quant_inst,[status(thm)],[])).
% 50.27/33.40 tff(32405,plain,
% 50.27/33.40 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB157)) | (~v199(constB157))),
% 50.27/33.40 inference(modus_ponens,[status(thm)],[32404, 32403])).
% 50.27/33.40 tff(32406,plain,
% 50.27/33.40 (~v183(constB157)),
% 50.27/33.40 inference(unit_resolution,[status(thm)],[32405, 8873, 32379])).
% 50.27/33.40 tff(32407,plain,
% 50.27/33.40 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB157) | (~v197(constB157)) | v183(constB157))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB157) | (~v197(constB157)) | v183(constB157))),
% 50.27/33.40 inference(rewrite,[status(thm)],[])).
% 50.27/33.40 tff(32408,plain,
% 50.27/33.40 (((~v197(constB157)) | v183(constB157) | v228(constB157)) <=> (v228(constB157) | (~v197(constB157)) | v183(constB157))),
% 50.27/33.40 inference(rewrite,[status(thm)],[])).
% 50.27/33.40 tff(32409,plain,
% 50.27/33.40 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB157)) | v183(constB157) | v228(constB157))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB157) | (~v197(constB157)) | v183(constB157)))),
% 50.27/33.40 inference(monotonicity,[status(thm)],[32408])).
% 50.27/33.40 tff(32410,plain,
% 50.27/33.40 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB157)) | v183(constB157) | v228(constB157))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB157) | (~v197(constB157)) | v183(constB157))),
% 50.27/33.40 inference(transitivity,[status(thm)],[32409, 32407])).
% 50.27/33.40 tff(32411,plain,
% 50.27/33.40 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB157)) | v183(constB157) | v228(constB157))),
% 50.27/33.40 inference(quant_inst,[status(thm)],[])).
% 50.27/33.40 tff(32412,plain,
% 50.27/33.40 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB157) | (~v197(constB157)) | v183(constB157)),
% 50.27/33.40 inference(modus_ponens,[status(thm)],[32411, 32410])).
% 50.27/33.40 tff(32413,plain,
% 50.27/33.40 (v228(constB157)),
% 50.27/33.40 inference(unit_resolution,[status(thm)],[32412, 8887, 32391, 32406])).
% 50.27/33.40 tff(32414,plain,
% 50.27/33.40 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB157)) | (~v223(constB157, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB157)) | (~v223(constB157, bitIndex1)))),
% 50.27/33.40 inference(rewrite,[status(thm)],[])).
% 50.27/33.40 tff(32415,plain,
% 50.27/33.40 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB157)) | (~v223(constB157, bitIndex1)))),
% 50.27/33.40 inference(quant_inst,[status(thm)],[])).
% 50.27/33.40 tff(32416,plain,
% 50.27/33.40 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB157)) | (~v223(constB157, bitIndex1))),
% 50.27/33.40 inference(modus_ponens,[status(thm)],[32415, 32414])).
% 50.27/33.40 tff(32417,plain,
% 50.27/33.40 (~v223(constB157, bitIndex1)),
% 50.27/33.40 inference(unit_resolution,[status(thm)],[32416, 8901, 32413])).
% 50.27/33.40 tff(32418,plain,
% 50.27/33.40 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB157, bitIndex1) | v223(constB157, bitIndex0) | (~v229(constB157)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB157, bitIndex1) | v223(constB157, bitIndex0) | (~v229(constB157)))),
% 50.27/33.40 inference(rewrite,[status(thm)],[])).
% 50.27/33.40 tff(32419,plain,
% 50.27/33.40 ((v223(constB157, bitIndex0) | v223(constB157, bitIndex1) | (~v229(constB157))) <=> (v223(constB157, bitIndex1) | v223(constB157, bitIndex0) | (~v229(constB157)))),
% 50.27/33.40 inference(rewrite,[status(thm)],[])).
% 50.27/33.40 tff(32420,plain,
% 50.27/33.40 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB157, bitIndex0) | v223(constB157, bitIndex1) | (~v229(constB157)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB157, bitIndex1) | v223(constB157, bitIndex0) | (~v229(constB157))))),
% 50.27/33.40 inference(monotonicity,[status(thm)],[32419])).
% 50.27/33.40 tff(32421,plain,
% 50.27/33.40 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB157, bitIndex0) | v223(constB157, bitIndex1) | (~v229(constB157)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB157, bitIndex1) | v223(constB157, bitIndex0) | (~v229(constB157)))),
% 50.27/33.40 inference(transitivity,[status(thm)],[32420, 32418])).
% 50.27/33.40 tff(32422,plain,
% 50.27/33.40 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB157, bitIndex0) | v223(constB157, bitIndex1) | (~v229(constB157)))),
% 50.27/33.40 inference(quant_inst,[status(thm)],[])).
% 50.27/33.40 tff(32423,plain,
% 50.27/33.40 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB157, bitIndex1) | v223(constB157, bitIndex0) | (~v229(constB157))),
% 50.27/33.40 inference(modus_ponens,[status(thm)],[32422, 32421])).
% 50.27/33.40 tff(32424,plain,
% 50.27/33.40 (~v229(constB157)),
% 50.27/33.40 inference(unit_resolution,[status(thm)],[32423, 8915, 32417, 32402])).
% 50.27/33.40 tff(32425,plain,
% 50.27/33.40 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB157) | (~v225(constB157)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB157) | (~v225(constB157)))),
% 50.27/33.40 inference(rewrite,[status(thm)],[])).
% 50.27/33.40 tff(32426,plain,
% 50.27/33.40 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB157) | (~v225(constB157)))),
% 50.27/33.40 inference(quant_inst,[status(thm)],[])).
% 50.27/33.40 tff(32427,plain,
% 50.27/33.40 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB157) | (~v225(constB157))),
% 50.27/33.40 inference(modus_ponens,[status(thm)],[32426, 32425])).
% 50.27/33.40 tff(32428,plain,
% 50.27/33.40 (~v225(constB157)),
% 50.27/33.40 inference(unit_resolution,[status(thm)],[32427, 8929, 32424])).
% 50.27/33.40 tff(32429,plain,
% 50.27/33.40 (((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB157)) | (~v200(constB157)))) <=> ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB157)) | (~v200(constB157)))),
% 50.27/33.40 inference(rewrite,[status(thm)],[])).
% 50.27/33.40 tff(32430,plain,
% 50.27/33.40 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB157)) | (~v200(constB157)))),
% 50.27/33.40 inference(quant_inst,[status(thm)],[])).
% 50.27/33.40 tff(32431,plain,
% 50.27/33.40 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB157)) | (~v200(constB157))),
% 50.27/33.40 inference(modus_ponens,[status(thm)],[32430, 32429])).
% 50.27/33.40 tff(32432,plain,
% 50.27/33.40 (~v166(constB157)),
% 50.27/33.40 inference(unit_resolution,[status(thm)],[32431, 10263, 32375])).
% 50.27/33.40 tff(32433,plain,
% 50.27/33.40 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB157) | (~v197(constB157)) | v166(constB157))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB157) | (~v197(constB157)) | v166(constB157))),
% 50.27/33.40 inference(rewrite,[status(thm)],[])).
% 50.27/33.40 tff(32434,plain,
% 50.27/33.40 (((~v197(constB157)) | v166(constB157) | v241(constB157)) <=> (v241(constB157) | (~v197(constB157)) | v166(constB157))),
% 50.27/33.40 inference(rewrite,[status(thm)],[])).
% 50.27/33.40 tff(32435,plain,
% 50.27/33.40 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB157)) | v166(constB157) | v241(constB157))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB157) | (~v197(constB157)) | v166(constB157)))),
% 50.27/33.40 inference(monotonicity,[status(thm)],[32434])).
% 50.27/33.40 tff(32436,plain,
% 50.27/33.40 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB157)) | v166(constB157) | v241(constB157))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB157) | (~v197(constB157)) | v166(constB157))),
% 50.27/33.40 inference(transitivity,[status(thm)],[32435, 32433])).
% 50.27/33.40 tff(32437,plain,
% 50.27/33.40 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB157)) | v166(constB157) | v241(constB157))),
% 50.27/33.40 inference(quant_inst,[status(thm)],[])).
% 50.27/33.40 tff(32438,plain,
% 50.27/33.40 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB157) | (~v197(constB157)) | v166(constB157)),
% 50.27/33.40 inference(modus_ponens,[status(thm)],[32437, 32436])).
% 50.27/33.40 tff(32439,plain,
% 50.27/33.40 (v241(constB157) | (~v197(constB157))),
% 50.27/33.40 inference(unit_resolution,[status(thm)],[32438, 10277, 32432])).
% 50.27/33.40 tff(32440,plain,
% 50.27/33.40 (v241(constB157)),
% 50.27/33.40 inference(unit_resolution,[status(thm)],[32439, 32391])).
% 50.27/33.40 tff(32441,plain,
% 50.27/33.40 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB157)) | (~v223(constB157, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB157)) | (~v223(constB157, bitIndex2)))),
% 50.27/33.40 inference(rewrite,[status(thm)],[])).
% 50.27/33.40 tff(32442,plain,
% 50.27/33.40 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB157)) | (~v223(constB157, bitIndex2)))),
% 50.27/33.40 inference(quant_inst,[status(thm)],[])).
% 50.27/33.40 tff(32443,plain,
% 50.27/33.40 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB157)) | (~v223(constB157, bitIndex2))),
% 50.27/33.40 inference(modus_ponens,[status(thm)],[32442, 32441])).
% 50.27/33.40 tff(32444,plain,
% 50.27/33.40 (~v223(constB157, bitIndex2)),
% 50.27/33.40 inference(unit_resolution,[status(thm)],[32443, 10292, 32440])).
% 50.27/33.40 tff(32445,plain,
% 50.27/33.40 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB157) | v223(constB157, bitIndex2) | (~v242(constB157)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v225(constB157) | v223(constB157, bitIndex2) | (~v242(constB157)))),
% 50.27/33.40 inference(rewrite,[status(thm)],[])).
% 50.27/33.40 tff(32446,plain,
% 50.27/33.40 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB157) | v223(constB157, bitIndex2) | (~v242(constB157)))),
% 50.27/33.40 inference(quant_inst,[status(thm)],[])).
% 50.27/33.40 tff(32447,plain,
% 50.27/33.40 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v225(constB157) | v223(constB157, bitIndex2) | (~v242(constB157))),
% 50.27/33.40 inference(modus_ponens,[status(thm)],[32446, 32445])).
% 50.27/33.40 tff(32448,plain,
% 50.27/33.40 (v225(constB157) | (~v242(constB157))),
% 50.27/33.40 inference(unit_resolution,[status(thm)],[32447, 10306, 32444])).
% 50.27/33.40 tff(32449,plain,
% 50.27/33.40 (~v242(constB157)),
% 50.27/33.40 inference(unit_resolution,[status(thm)],[32448, 32428])).
% 50.27/33.40 tff(32450,plain,
% 50.27/33.40 (((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB157) | (~v238(constB157)))) <=> ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB157) | (~v238(constB157)))),
% 50.27/33.40 inference(rewrite,[status(thm)],[])).
% 50.27/33.40 tff(32451,plain,
% 50.27/33.40 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB157) | (~v238(constB157)))),
% 50.27/33.40 inference(quant_inst,[status(thm)],[])).
% 50.27/33.40 tff(32452,plain,
% 50.27/33.40 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB157) | (~v238(constB157))),
% 50.27/33.40 inference(modus_ponens,[status(thm)],[32451, 32450])).
% 50.27/33.40 tff(32453,plain,
% 50.27/33.40 (~v238(constB157)),
% 50.27/33.40 inference(unit_resolution,[status(thm)],[32452, 10318, 32449])).
% 50.27/33.40 tff(32454,plain,
% 50.27/33.40 (((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB157) | (~v237(constB157)))) <=> ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB157) | (~v237(constB157)))),
% 50.27/33.40 inference(rewrite,[status(thm)],[])).
% 50.27/33.40 tff(32455,plain,
% 50.27/33.40 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB157) | (~v237(constB157)))),
% 50.27/33.40 inference(quant_inst,[status(thm)],[])).
% 50.27/33.41 tff(32456,plain,
% 50.27/33.41 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB157) | (~v237(constB157))),
% 50.27/33.41 inference(modus_ponens,[status(thm)],[32455, 32454])).
% 50.27/33.41 tff(32457,plain,
% 50.27/33.41 (~v237(constB157)),
% 50.27/33.41 inference(unit_resolution,[status(thm)],[32456, 10329, 32453])).
% 50.27/33.41 tff(32458,plain,
% 50.27/33.41 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB157)) | v223(constB157, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB157)) | v223(constB157, bitIndex2))),
% 50.27/33.41 inference(rewrite,[status(thm)],[])).
% 50.27/33.41 tff(32459,plain,
% 50.27/33.41 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB157)) | v223(constB157, bitIndex2))),
% 50.27/33.41 inference(quant_inst,[status(thm)],[])).
% 50.27/33.41 tff(32460,plain,
% 50.27/33.41 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB157)) | v223(constB157, bitIndex2)),
% 50.27/33.41 inference(modus_ponens,[status(thm)],[32459, 32458])).
% 50.27/33.41 tff(32461,plain,
% 50.27/33.41 (~v224(constB157)),
% 50.27/33.41 inference(unit_resolution,[status(thm)],[32460, 10343, 32444])).
% 50.27/33.41 tff(32462,plain,
% 50.27/33.41 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB157)) | v223(constB157, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB157)) | v223(constB157, bitIndex1))),
% 50.27/33.41 inference(rewrite,[status(thm)],[])).
% 50.27/33.41 tff(32463,plain,
% 50.27/33.41 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB157)) | v223(constB157, bitIndex1))),
% 50.27/33.41 inference(quant_inst,[status(thm)],[])).
% 50.27/33.41 tff(32464,plain,
% 50.27/33.41 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB157)) | v223(constB157, bitIndex1)),
% 50.27/33.41 inference(modus_ponens,[status(thm)],[32463, 32462])).
% 50.27/33.41 tff(32465,plain,
% 50.27/33.41 (~v222(constB157)),
% 50.27/33.41 inference(unit_resolution,[status(thm)],[32464, 8954, 32417])).
% 50.27/33.41 tff(32466,plain,
% 50.27/33.41 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB157) | v224(constB157) | (~v236(constB157)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB157) | v224(constB157) | (~v236(constB157)))),
% 50.27/33.41 inference(rewrite,[status(thm)],[])).
% 50.27/33.41 tff(32467,plain,
% 50.27/33.41 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB157) | v224(constB157) | (~v236(constB157)))),
% 50.27/33.41 inference(quant_inst,[status(thm)],[])).
% 50.27/33.41 tff(32468,plain,
% 50.27/33.41 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB157) | v224(constB157) | (~v236(constB157))),
% 50.27/33.41 inference(modus_ponens,[status(thm)],[32467, 32466])).
% 50.27/33.41 tff(32469,plain,
% 50.27/33.41 (~v236(constB157)),
% 50.27/33.41 inference(unit_resolution,[status(thm)],[32468, 8968, 32465, 32461])).
% 50.27/33.41 tff(32470,plain,
% 50.27/33.41 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB157) | (~v232(constB157)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB157) | (~v232(constB157)))),
% 50.27/33.41 inference(rewrite,[status(thm)],[])).
% 50.27/33.41 tff(32471,plain,
% 50.27/33.41 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB157) | (~v232(constB157)))),
% 50.27/33.41 inference(quant_inst,[status(thm)],[])).
% 50.27/33.41 tff(32472,plain,
% 50.27/33.41 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB157) | (~v232(constB157))),
% 50.27/33.41 inference(modus_ponens,[status(thm)],[32471, 32470])).
% 50.27/33.41 tff(32473,plain,
% 50.27/33.41 (~v232(constB157)),
% 50.27/33.41 inference(unit_resolution,[status(thm)],[32472, 8980, 32469])).
% 50.27/33.41 tff(32474,plain,
% 50.27/33.41 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB157) | v232(constB157) | (~v248(constB157)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB157) | v232(constB157) | (~v248(constB157)))),
% 50.27/33.41 inference(rewrite,[status(thm)],[])).
% 50.27/33.41 tff(32475,plain,
% 50.27/33.41 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB157) | v232(constB157) | (~v248(constB157)))),
% 50.27/33.41 inference(quant_inst,[status(thm)],[])).
% 50.27/33.41 tff(32476,plain,
% 50.27/33.41 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB157) | v232(constB157) | (~v248(constB157))),
% 50.27/33.41 inference(modus_ponens,[status(thm)],[32475, 32474])).
% 50.27/33.41 tff(32477,plain,
% 50.27/33.41 (v237(constB157) | (~v248(constB157))),
% 50.27/33.41 inference(unit_resolution,[status(thm)],[32476, 9076, 32473])).
% 50.27/33.41 tff(32478,plain,
% 50.27/33.41 (~v248(constB157)),
% 50.27/33.41 inference(unit_resolution,[status(thm)],[32477, 32457])).
% 50.27/33.41 tff(32479,plain,
% 50.27/33.41 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB157) | (~v244(constB157)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB157) | (~v244(constB157)))),
% 50.27/33.41 inference(rewrite,[status(thm)],[])).
% 50.27/33.41 tff(32480,plain,
% 50.27/33.41 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB157) | (~v244(constB157)))),
% 50.27/33.41 inference(quant_inst,[status(thm)],[])).
% 50.27/33.41 tff(32481,plain,
% 50.27/33.41 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB157) | (~v244(constB157))),
% 50.27/33.41 inference(modus_ponens,[status(thm)],[32480, 32479])).
% 50.27/33.41 tff(32482,plain,
% 50.27/33.41 (~v244(constB157)),
% 50.27/33.41 inference(unit_resolution,[status(thm)],[32481, 11335, 32478])).
% 50.27/33.41 tff(32483,plain,
% 50.27/33.41 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB157) | (~v216(constB157, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB157) | (~v216(constB157, bitIndex1)))),
% 50.27/33.41 inference(rewrite,[status(thm)],[])).
% 50.27/33.41 tff(32484,plain,
% 50.27/33.41 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB157) | (~v216(constB157, bitIndex1)))),
% 50.27/33.41 inference(quant_inst,[status(thm)],[])).
% 50.27/33.41 tff(32485,plain,
% 50.27/33.41 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB157) | (~v216(constB157, bitIndex1))),
% 50.27/33.41 inference(modus_ponens,[status(thm)],[32484, 32483])).
% 50.27/33.41 tff(32486,plain,
% 50.27/33.41 (~v216(constB157, bitIndex1)),
% 50.27/33.41 inference(unit_resolution,[status(thm)],[32485, 11346, 32482])).
% 50.27/33.41 tff(32487,plain,
% 50.27/33.41 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB157, bitIndex1) | (~v254(constB157)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB157, bitIndex1) | (~v254(constB157)))),
% 50.27/33.41 inference(rewrite,[status(thm)],[])).
% 50.27/33.41 tff(32488,plain,
% 50.27/33.41 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB157, bitIndex1) | (~v254(constB157)))),
% 50.27/33.41 inference(quant_inst,[status(thm)],[])).
% 50.27/33.41 tff(32489,plain,
% 50.27/33.41 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB157, bitIndex1) | (~v254(constB157))),
% 50.27/33.41 inference(modus_ponens,[status(thm)],[32488, 32487])).
% 50.27/33.41 tff(32490,plain,
% 50.27/33.41 (~v254(constB157)),
% 50.27/33.41 inference(unit_resolution,[status(thm)],[32489, 11357, 32486])).
% 50.27/33.41 tff(32491,plain,
% 50.27/33.41 (((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB157) | (~v231(constB157)))) <=> ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB157) | (~v231(constB157)))),
% 50.27/33.41 inference(rewrite,[status(thm)],[])).
% 50.27/33.41 tff(32492,plain,
% 50.27/33.41 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB157) | (~v231(constB157)))),
% 50.27/33.41 inference(quant_inst,[status(thm)],[])).
% 50.27/33.41 tff(32493,plain,
% 50.27/33.41 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB157) | (~v231(constB157))),
% 50.27/33.41 inference(modus_ponens,[status(thm)],[32492, 32491])).
% 50.27/33.41 tff(32494,plain,
% 50.27/33.41 (~v231(constB157)),
% 50.27/33.41 inference(unit_resolution,[status(thm)],[32493, 24684, 32473])).
% 50.27/33.41 tff(32495,plain,
% 50.27/33.41 (((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB157) | (~v221(constB157)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB157) | (~v221(constB157)))),
% 50.27/33.41 inference(rewrite,[status(thm)],[])).
% 50.27/33.41 tff(32496,plain,
% 50.27/33.41 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB157) | (~v221(constB157)))),
% 50.27/33.41 inference(quant_inst,[status(thm)],[])).
% 50.27/33.41 tff(32497,plain,
% 50.27/33.41 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB157) | (~v221(constB157))),
% 50.27/33.41 inference(modus_ponens,[status(thm)],[32496, 32495])).
% 50.27/33.41 tff(32498,plain,
% 50.27/33.41 (~v221(constB157)),
% 50.27/33.41 inference(unit_resolution,[status(thm)],[32497, 11192, 32465])).
% 50.27/33.41 tff(32499,plain,
% 50.27/33.41 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB157) | v231(constB157) | (~v243(constB157)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB157) | v231(constB157) | (~v243(constB157)))),
% 50.27/33.41 inference(rewrite,[status(thm)],[])).
% 50.27/33.41 tff(32500,plain,
% 50.27/33.41 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB157) | v231(constB157) | (~v243(constB157)))),
% 50.27/33.41 inference(quant_inst,[status(thm)],[])).
% 50.27/33.41 tff(32501,plain,
% 50.27/33.41 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB157) | v231(constB157) | (~v243(constB157))),
% 50.27/33.41 inference(modus_ponens,[status(thm)],[32500, 32499])).
% 50.27/33.41 tff(32502,plain,
% 50.27/33.41 (v231(constB157) | (~v243(constB157))),
% 50.27/33.41 inference(unit_resolution,[status(thm)],[32501, 11206, 32498])).
% 50.27/33.41 tff(32503,plain,
% 50.27/33.41 (~v243(constB157)),
% 50.27/33.41 inference(unit_resolution,[status(thm)],[32502, 32494])).
% 50.27/33.41 tff(32504,plain,
% 50.27/33.41 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB157) | v255(constB157))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB157) | v255(constB157))),
% 50.27/33.41 inference(rewrite,[status(thm)],[])).
% 50.27/33.41 tff(32505,plain,
% 50.27/33.41 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB157) | v255(constB157))),
% 50.27/33.41 inference(quant_inst,[status(thm)],[])).
% 50.27/33.41 tff(32506,plain,
% 50.27/33.41 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB157) | v255(constB157)),
% 50.27/33.41 inference(modus_ponens,[status(thm)],[32505, 32504])).
% 50.27/33.41 tff(32507,plain,
% 50.27/33.41 (v255(constB157)),
% 50.27/33.41 inference(unit_resolution,[status(thm)],[32506, 11222, 32503])).
% 50.27/33.41 tff(32508,plain,
% 50.27/33.41 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB157)) | (~v216(constB157, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB157)) | (~v216(constB157, bitIndex2)))),
% 50.27/33.41 inference(rewrite,[status(thm)],[])).
% 50.27/33.41 tff(32509,plain,
% 50.27/33.41 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB157)) | (~v216(constB157, bitIndex2)))),
% 50.27/33.41 inference(quant_inst,[status(thm)],[])).
% 50.27/33.41 tff(32510,plain,
% 50.27/33.41 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB157)) | (~v216(constB157, bitIndex2))),
% 50.27/33.41 inference(modus_ponens,[status(thm)],[32509, 32508])).
% 50.27/33.41 tff(32511,plain,
% 50.27/33.41 (~v216(constB157, bitIndex2)),
% 50.27/33.41 inference(unit_resolution,[status(thm)],[32510, 11237, 32507])).
% 50.27/33.41 tff(32512,plain,
% 50.27/33.41 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB157, bitIndex2) | v254(constB157) | (~v215(constB157)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB157, bitIndex2) | v254(constB157) | (~v215(constB157)))),
% 50.27/33.41 inference(rewrite,[status(thm)],[])).
% 50.27/33.41 tff(32513,plain,
% 50.27/33.41 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB157, bitIndex2) | v254(constB157) | (~v215(constB157)))),
% 50.27/33.41 inference(quant_inst,[status(thm)],[])).
% 50.27/33.41 tff(32514,plain,
% 50.27/33.41 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB157, bitIndex2) | v254(constB157) | (~v215(constB157))),
% 50.27/33.41 inference(modus_ponens,[status(thm)],[32513, 32512])).
% 50.27/33.41 tff(32515,plain,
% 50.27/33.41 (v254(constB157) | (~v215(constB157))),
% 50.27/33.41 inference(unit_resolution,[status(thm)],[32514, 11278, 32511])).
% 50.27/33.41 tff(32516,plain,
% 50.27/33.41 (~v215(constB157)),
% 50.27/33.41 inference(unit_resolution,[status(thm)],[32515, 32490])).
% 50.27/33.41 tff(32517,plain,
% 50.27/33.41 ($false),
% 50.27/33.41 inference(unit_resolution,[status(thm)],[32516, 32355])).
% 50.27/33.41 tff(32518,plain,(~(constB157 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.27/33.41 tff(32519,assumption,(constB179 = sK0_VarCurr), introduced(assumption)).
% 50.27/33.41 tff(32520,plain,
% 50.27/33.41 (v215(constB179) <=> v215(sK0_VarCurr)),
% 50.27/33.41 inference(monotonicity,[status(thm)],[32519])).
% 50.27/33.41 tff(32521,plain,
% 50.27/33.41 (v215(sK0_VarCurr) <=> v215(constB179)),
% 50.27/33.41 inference(symmetry,[status(thm)],[32520])).
% 50.27/33.41 tff(32522,plain,
% 50.27/33.41 (v215(constB179)),
% 50.27/33.41 inference(modus_ponens,[status(thm)],[11268, 32521])).
% 50.27/33.41 tff(32523,plain,
% 50.27/33.41 (((~![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)))),
% 50.27/33.41 inference(rewrite,[status(thm)],[])).
% 50.27/33.41 tff(32524,plain,
% 50.27/33.41 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB179, bitIndex2) | (~v88(constB179, bitIndex2)))),
% 50.27/33.41 inference(quant_inst,[status(thm)],[])).
% 50.27/33.41 tff(32525,plain,
% 50.27/33.41 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB179, bitIndex2) | (~v88(constB179, bitIndex2))),
% 50.27/33.41 inference(modus_ponens,[status(thm)],[32524, 32523])).
% 50.27/33.41 tff(32526,plain,
% 50.27/33.41 (~v88(constB179, bitIndex2)),
% 50.27/33.41 inference(unit_resolution,[status(thm)],[32525, 8769, 23450])).
% 50.27/33.41 tff(32527,plain,
% 50.27/33.41 (((~![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)))),
% 50.27/33.41 inference(rewrite,[status(thm)],[])).
% 50.27/33.41 tff(32528,plain,
% 50.27/33.41 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB179, bitIndex0) | (~v88(constB179, bitIndex0)))),
% 50.27/33.41 inference(quant_inst,[status(thm)],[])).
% 50.27/33.41 tff(32529,plain,
% 50.27/33.41 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB179, bitIndex0) | (~v88(constB179, bitIndex0))),
% 50.27/33.41 inference(modus_ponens,[status(thm)],[32528, 32527])).
% 50.27/33.41 tff(32530,plain,
% 50.27/33.41 (~v88(constB179, bitIndex0)),
% 50.27/33.41 inference(unit_resolution,[status(thm)],[32529, 10505, 23523])).
% 50.27/33.41 tff(32531,plain,
% 50.27/33.41 (((~![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))),
% 50.27/33.41 inference(rewrite,[status(thm)],[])).
% 50.27/33.41 tff(32532,plain,
% 50.27/33.41 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB179, bitIndex1)) | v88(constB179, bitIndex1))),
% 50.27/33.41 inference(quant_inst,[status(thm)],[])).
% 50.27/33.41 tff(32533,plain,
% 50.27/33.41 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB179, bitIndex1)) | v88(constB179, bitIndex1)),
% 50.27/33.41 inference(modus_ponens,[status(thm)],[32532, 32531])).
% 50.27/33.41 tff(32534,plain,
% 50.27/33.41 (v88(constB179, bitIndex1)),
% 50.27/33.41 inference(unit_resolution,[status(thm)],[32533, 8707, 23481])).
% 50.27/33.41 tff(32535,plain,
% 50.27/33.41 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB179, bitIndex0) | v88(constB179, bitIndex2) | (~v88(constB179, bitIndex1)) | v143(constB179))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB179, bitIndex0) | v88(constB179, bitIndex2) | (~v88(constB179, bitIndex1)) | v143(constB179))),
% 50.27/33.41 inference(rewrite,[status(thm)],[])).
% 50.27/33.41 tff(32536,plain,
% 50.27/33.41 ((v88(constB179, bitIndex2) | (~v88(constB179, bitIndex1)) | v88(constB179, bitIndex0) | v143(constB179)) <=> (v88(constB179, bitIndex0) | v88(constB179, bitIndex2) | (~v88(constB179, bitIndex1)) | v143(constB179))),
% 50.27/33.41 inference(rewrite,[status(thm)],[])).
% 50.27/33.41 tff(32537,plain,
% 50.27/33.41 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB179, bitIndex2) | (~v88(constB179, bitIndex1)) | v88(constB179, bitIndex0) | v143(constB179))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB179, bitIndex0) | v88(constB179, bitIndex2) | (~v88(constB179, bitIndex1)) | v143(constB179)))),
% 50.27/33.41 inference(monotonicity,[status(thm)],[32536])).
% 50.27/33.41 tff(32538,plain,
% 50.27/33.41 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB179, bitIndex2) | (~v88(constB179, bitIndex1)) | v88(constB179, bitIndex0) | v143(constB179))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB179, bitIndex0) | v88(constB179, bitIndex2) | (~v88(constB179, bitIndex1)) | v143(constB179))),
% 50.27/33.41 inference(transitivity,[status(thm)],[32537, 32535])).
% 50.27/33.41 tff(32539,plain,
% 50.27/33.41 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB179, bitIndex2) | (~v88(constB179, bitIndex1)) | v88(constB179, bitIndex0) | v143(constB179))),
% 50.27/33.41 inference(quant_inst,[status(thm)],[])).
% 50.27/33.41 tff(32540,plain,
% 50.27/33.41 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB179, bitIndex0) | v88(constB179, bitIndex2) | (~v88(constB179, bitIndex1)) | v143(constB179)),
% 50.27/33.41 inference(modus_ponens,[status(thm)],[32539, 32538])).
% 50.27/33.41 tff(32541,plain,
% 50.27/33.41 (v143(constB179)),
% 50.27/33.41 inference(unit_resolution,[status(thm)],[32540, 10523, 32534, 32530, 32526])).
% 50.27/33.41 tff(32542,plain,
% 50.27/33.41 (((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB179) | (~v143(constB179)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB179) | (~v143(constB179)))),
% 50.27/33.41 inference(rewrite,[status(thm)],[])).
% 50.27/33.41 tff(32543,plain,
% 50.27/33.41 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB179) | (~v143(constB179)))),
% 50.27/33.41 inference(quant_inst,[status(thm)],[])).
% 50.27/33.41 tff(32544,plain,
% 50.27/33.41 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB179) | (~v143(constB179))),
% 50.27/33.41 inference(modus_ponens,[status(thm)],[32543, 32542])).
% 50.27/33.41 tff(32545,plain,
% 50.27/33.41 (v142(constB179)),
% 50.27/33.41 inference(unit_resolution,[status(thm)],[32544, 10537, 32541])).
% 50.27/33.41 tff(32546,plain,
% 50.27/33.41 (((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB179) | (~v142(constB179)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB179) | (~v142(constB179)))),
% 50.27/33.41 inference(rewrite,[status(thm)],[])).
% 50.27/33.41 tff(32547,plain,
% 50.27/33.41 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB179) | (~v142(constB179)))),
% 50.27/33.41 inference(quant_inst,[status(thm)],[])).
% 50.27/33.41 tff(32548,plain,
% 50.27/33.41 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB179) | (~v142(constB179))),
% 50.27/33.41 inference(modus_ponens,[status(thm)],[32547, 32546])).
% 50.27/33.41 tff(32549,plain,
% 50.27/33.41 (v198(constB179)),
% 50.27/33.41 inference(unit_resolution,[status(thm)],[32548, 10548, 32545])).
% 50.27/33.41 tff(32550,plain,
% 50.27/33.41 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB179)) | (~v201(constB179)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB179)) | (~v201(constB179)))),
% 50.27/33.41 inference(rewrite,[status(thm)],[])).
% 50.27/33.41 tff(32551,plain,
% 50.27/33.41 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB179)) | (~v201(constB179)))),
% 50.27/33.41 inference(quant_inst,[status(thm)],[])).
% 50.27/33.41 tff(32552,plain,
% 50.27/33.41 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB179)) | (~v201(constB179))),
% 50.27/33.41 inference(modus_ponens,[status(thm)],[32551, 32550])).
% 50.27/33.41 tff(32553,plain,
% 50.27/33.41 (~v201(constB179)),
% 50.27/33.41 inference(unit_resolution,[status(thm)],[32552, 8823, 32549])).
% 50.27/33.41 tff(32554,plain,
% 50.27/33.41 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB179) | (~v198(constB179)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB179) | (~v198(constB179)))),
% 50.27/33.41 inference(rewrite,[status(thm)],[])).
% 50.27/33.41 tff(32555,plain,
% 50.27/33.41 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB179) | (~v198(constB179)))),
% 50.27/33.41 inference(quant_inst,[status(thm)],[])).
% 50.27/33.41 tff(32556,plain,
% 50.27/33.41 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB179) | (~v198(constB179))),
% 50.27/33.41 inference(modus_ponens,[status(thm)],[32555, 32554])).
% 50.27/33.41 tff(32557,plain,
% 50.27/33.41 (v197(constB179)),
% 50.27/33.41 inference(unit_resolution,[status(thm)],[32556, 8834, 32549])).
% 50.27/33.41 tff(32558,plain,
% 50.27/33.41 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB179) | (~v197(constB179)) | v201(constB179))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB179) | (~v197(constB179)) | v201(constB179))),
% 50.27/33.41 inference(rewrite,[status(thm)],[])).
% 50.27/33.41 tff(32559,plain,
% 50.27/33.41 (((~v197(constB179)) | v201(constB179) | v227(constB179)) <=> (v227(constB179) | (~v197(constB179)) | v201(constB179))),
% 50.27/33.41 inference(rewrite,[status(thm)],[])).
% 50.27/33.41 tff(32560,plain,
% 50.27/33.41 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB179)) | v201(constB179) | v227(constB179))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB179) | (~v197(constB179)) | v201(constB179)))),
% 50.27/33.41 inference(monotonicity,[status(thm)],[32559])).
% 50.27/33.41 tff(32561,plain,
% 50.27/33.41 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB179)) | v201(constB179) | v227(constB179))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB179) | (~v197(constB179)) | v201(constB179))),
% 50.27/33.41 inference(transitivity,[status(thm)],[32560, 32558])).
% 50.27/33.41 tff(32562,plain,
% 50.27/33.41 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB179)) | v201(constB179) | v227(constB179))),
% 50.27/33.41 inference(quant_inst,[status(thm)],[])).
% 50.27/33.41 tff(32563,plain,
% 50.27/33.41 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB179) | (~v197(constB179)) | v201(constB179)),
% 50.27/33.41 inference(modus_ponens,[status(thm)],[32562, 32561])).
% 50.27/33.41 tff(32564,plain,
% 50.27/33.41 (v227(constB179)),
% 50.27/33.41 inference(unit_resolution,[status(thm)],[32563, 8848, 32557, 32553])).
% 50.27/33.41 tff(32565,plain,
% 50.27/33.41 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB179)) | (~v223(constB179, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB179)) | (~v223(constB179, bitIndex0)))),
% 50.27/33.41 inference(rewrite,[status(thm)],[])).
% 50.27/33.41 tff(32566,plain,
% 50.27/33.41 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB179)) | (~v223(constB179, bitIndex0)))),
% 50.27/33.41 inference(quant_inst,[status(thm)],[])).
% 50.27/33.41 tff(32567,plain,
% 50.27/33.41 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB179)) | (~v223(constB179, bitIndex0))),
% 50.27/33.41 inference(modus_ponens,[status(thm)],[32566, 32565])).
% 50.27/33.41 tff(32568,plain,
% 50.27/33.41 (~v223(constB179, bitIndex0)),
% 50.27/33.41 inference(unit_resolution,[status(thm)],[32567, 8862, 32564])).
% 50.27/33.41 tff(32569,plain,
% 50.27/33.41 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | ((~v222(constB179)) | v223(constB179, bitIndex0))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (~v222(constB179)) | v223(constB179, bitIndex0))),
% 50.27/33.41 inference(rewrite,[status(thm)],[])).
% 50.27/33.41 tff(32570,plain,
% 50.27/33.41 ((v223(constB179, bitIndex0) | (~v222(constB179))) <=> ((~v222(constB179)) | v223(constB179, bitIndex0))),
% 50.27/33.41 inference(rewrite,[status(thm)],[])).
% 50.27/33.41 tff(32571,plain,
% 50.27/33.41 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB179, bitIndex0) | (~v222(constB179)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | ((~v222(constB179)) | v223(constB179, bitIndex0)))),
% 50.27/33.41 inference(monotonicity,[status(thm)],[32570])).
% 50.27/33.41 tff(32572,plain,
% 50.27/33.41 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB179, bitIndex0) | (~v222(constB179)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (~v222(constB179)) | v223(constB179, bitIndex0))),
% 50.27/33.41 inference(transitivity,[status(thm)],[32571, 32569])).
% 50.27/33.41 tff(32573,plain,
% 50.27/33.41 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB179, bitIndex0) | (~v222(constB179)))),
% 50.27/33.41 inference(quant_inst,[status(thm)],[])).
% 50.27/33.41 tff(32574,plain,
% 50.27/33.41 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (~v222(constB179)) | v223(constB179, bitIndex0)),
% 50.27/33.41 inference(modus_ponens,[status(thm)],[32573, 32572])).
% 50.27/33.41 tff(32575,plain,
% 50.37/33.41 (~v222(constB179)),
% 50.37/33.41 inference(unit_resolution,[status(thm)],[32574, 10578, 32568])).
% 50.37/33.41 tff(32576,plain,
% 50.37/33.41 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v139(constB179)) | (~v88(constB179, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB179)) | (~v88(constB179, bitIndex1)))),
% 50.37/33.41 inference(rewrite,[status(thm)],[])).
% 50.37/33.41 tff(32577,plain,
% 50.37/33.41 (((~v88(constB179, bitIndex1)) | (~v139(constB179))) <=> ((~v139(constB179)) | (~v88(constB179, bitIndex1)))),
% 50.37/33.41 inference(rewrite,[status(thm)],[])).
% 50.37/33.41 tff(32578,plain,
% 50.37/33.41 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB179, bitIndex1)) | (~v139(constB179)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v139(constB179)) | (~v88(constB179, bitIndex1))))),
% 50.37/33.41 inference(monotonicity,[status(thm)],[32577])).
% 50.37/33.41 tff(32579,plain,
% 50.37/33.41 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB179, bitIndex1)) | (~v139(constB179)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB179)) | (~v88(constB179, bitIndex1)))),
% 50.37/33.41 inference(transitivity,[status(thm)],[32578, 32576])).
% 50.37/33.41 tff(32580,plain,
% 50.37/33.41 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB179, bitIndex1)) | (~v139(constB179)))),
% 50.37/33.41 inference(quant_inst,[status(thm)],[])).
% 50.37/33.41 tff(32581,plain,
% 50.37/33.41 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB179)) | (~v88(constB179, bitIndex1))),
% 50.37/33.41 inference(modus_ponens,[status(thm)],[32580, 32579])).
% 50.37/33.41 tff(32582,plain,
% 50.37/33.41 (~v139(constB179)),
% 50.37/33.41 inference(unit_resolution,[status(thm)],[32581, 10589, 32534])).
% 50.37/33.41 tff(32583,plain,
% 50.37/33.41 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB179, bitIndex1)) | (~v140(constB179)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB179, bitIndex1)) | (~v140(constB179)))),
% 50.37/33.41 inference(rewrite,[status(thm)],[])).
% 50.37/33.41 tff(32584,plain,
% 50.37/33.41 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB179, bitIndex1)) | (~v140(constB179)))),
% 50.37/33.41 inference(quant_inst,[status(thm)],[])).
% 50.37/33.41 tff(32585,plain,
% 50.37/33.41 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB179, bitIndex1)) | (~v140(constB179))),
% 50.37/33.41 inference(modus_ponens,[status(thm)],[32584, 32583])).
% 50.37/33.41 tff(32586,plain,
% 50.37/33.41 (~v140(constB179)),
% 50.37/33.41 inference(unit_resolution,[status(thm)],[32585, 9002, 32534])).
% 50.37/33.41 tff(32587,plain,
% 50.37/33.41 (((~![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)))),
% 50.37/33.41 inference(rewrite,[status(thm)],[])).
% 50.37/33.41 tff(32588,plain,
% 50.37/33.41 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB179) | v139(constB179) | (~v200(constB179)))),
% 50.37/33.41 inference(quant_inst,[status(thm)],[])).
% 50.37/33.41 tff(32589,plain,
% 50.37/33.41 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB179) | v139(constB179) | (~v200(constB179))),
% 50.37/33.41 inference(modus_ponens,[status(thm)],[32588, 32587])).
% 50.37/33.41 tff(32590,plain,
% 50.37/33.41 (~v200(constB179)),
% 50.37/33.41 inference(unit_resolution,[status(thm)],[32589, 10610, 32586, 32582])).
% 50.37/33.41 tff(32591,plain,
% 50.37/33.41 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB179, bitIndex0) | (~v141(constB179)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB179, bitIndex0) | (~v141(constB179)))),
% 50.37/33.41 inference(rewrite,[status(thm)],[])).
% 50.37/33.41 tff(32592,plain,
% 50.37/33.41 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB179, bitIndex0) | (~v141(constB179)))),
% 50.37/33.41 inference(quant_inst,[status(thm)],[])).
% 50.37/33.41 tff(32593,plain,
% 50.37/33.41 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB179, bitIndex0) | (~v141(constB179))),
% 50.37/33.41 inference(modus_ponens,[status(thm)],[32592, 32591])).
% 50.37/33.41 tff(32594,plain,
% 50.37/33.41 (~v141(constB179)),
% 50.37/33.41 inference(unit_resolution,[status(thm)],[32593, 10624, 32530])).
% 50.37/33.41 tff(32595,plain,
% 50.37/33.41 (((~![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)))),
% 50.37/33.41 inference(rewrite,[status(thm)],[])).
% 50.37/33.41 tff(32596,plain,
% 50.37/33.41 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB179) | v200(constB179) | (~v166(constB179)))),
% 50.37/33.41 inference(quant_inst,[status(thm)],[])).
% 50.37/33.41 tff(32597,plain,
% 50.37/33.41 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB179) | v200(constB179) | (~v166(constB179))),
% 50.37/33.41 inference(modus_ponens,[status(thm)],[32596, 32595])).
% 50.37/33.41 tff(32598,plain,
% 50.37/33.41 (~v166(constB179)),
% 50.37/33.41 inference(unit_resolution,[status(thm)],[32597, 10638, 32594, 32590])).
% 50.37/33.41 tff(32599,plain,
% 50.37/33.41 (((~![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))),
% 50.37/33.41 inference(rewrite,[status(thm)],[])).
% 50.37/33.41 tff(32600,plain,
% 50.37/33.41 (((~v197(constB179)) | v166(constB179) | v241(constB179)) <=> (v241(constB179) | (~v197(constB179)) | v166(constB179))),
% 50.37/33.41 inference(rewrite,[status(thm)],[])).
% 50.37/33.41 tff(32601,plain,
% 50.37/33.41 (((~![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)))),
% 50.37/33.41 inference(monotonicity,[status(thm)],[32600])).
% 50.37/33.41 tff(32602,plain,
% 50.37/33.41 (((~![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))),
% 50.37/33.41 inference(transitivity,[status(thm)],[32601, 32599])).
% 50.37/33.41 tff(32603,plain,
% 50.37/33.41 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB179)) | v166(constB179) | v241(constB179))),
% 50.37/33.41 inference(quant_inst,[status(thm)],[])).
% 50.37/33.41 tff(32604,plain,
% 50.37/33.41 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB179) | (~v197(constB179)) | v166(constB179)),
% 50.37/33.41 inference(modus_ponens,[status(thm)],[32603, 32602])).
% 50.37/33.41 tff(32605,plain,
% 50.37/33.41 (v241(constB179) | (~v197(constB179))),
% 50.37/33.41 inference(unit_resolution,[status(thm)],[32604, 10277, 32598])).
% 50.37/33.41 tff(32606,plain,
% 50.37/33.41 (v241(constB179)),
% 50.37/33.41 inference(unit_resolution,[status(thm)],[32605, 32557])).
% 50.37/33.41 tff(32607,plain,
% 50.37/33.41 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB179)) | (~v223(constB179, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB179)) | (~v223(constB179, bitIndex2)))),
% 50.37/33.41 inference(rewrite,[status(thm)],[])).
% 50.37/33.41 tff(32608,plain,
% 50.37/33.41 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB179)) | (~v223(constB179, bitIndex2)))),
% 50.37/33.41 inference(quant_inst,[status(thm)],[])).
% 50.37/33.41 tff(32609,plain,
% 50.37/33.41 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB179)) | (~v223(constB179, bitIndex2))),
% 50.37/33.41 inference(modus_ponens,[status(thm)],[32608, 32607])).
% 50.37/33.41 tff(32610,plain,
% 50.37/33.41 (~v223(constB179, bitIndex2)),
% 50.37/33.41 inference(unit_resolution,[status(thm)],[32609, 10292, 32606])).
% 50.37/33.41 tff(32611,plain,
% 50.37/33.41 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB179)) | v223(constB179, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB179)) | v223(constB179, bitIndex2))),
% 50.37/33.41 inference(rewrite,[status(thm)],[])).
% 50.37/33.41 tff(32612,plain,
% 50.37/33.41 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB179)) | v223(constB179, bitIndex2))),
% 50.37/33.41 inference(quant_inst,[status(thm)],[])).
% 50.37/33.41 tff(32613,plain,
% 50.37/33.41 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB179)) | v223(constB179, bitIndex2)),
% 50.37/33.41 inference(modus_ponens,[status(thm)],[32612, 32611])).
% 50.37/33.41 tff(32614,plain,
% 50.37/33.41 (~v224(constB179)),
% 50.37/33.41 inference(unit_resolution,[status(thm)],[32613, 10343, 32610])).
% 50.37/33.41 tff(32615,plain,
% 50.37/33.41 (((~![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)))),
% 50.37/33.41 inference(rewrite,[status(thm)],[])).
% 50.37/33.41 tff(32616,plain,
% 50.37/33.41 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB179) | v224(constB179) | (~v236(constB179)))),
% 50.37/33.41 inference(quant_inst,[status(thm)],[])).
% 50.37/33.41 tff(32617,plain,
% 50.37/33.41 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB179) | v224(constB179) | (~v236(constB179))),
% 50.37/33.41 inference(modus_ponens,[status(thm)],[32616, 32615])).
% 50.37/33.41 tff(32618,plain,
% 50.37/33.41 (~v236(constB179)),
% 50.37/33.41 inference(unit_resolution,[status(thm)],[32617, 8968, 32614, 32575])).
% 50.37/33.41 tff(32619,plain,
% 50.37/33.41 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB179) | (~v232(constB179)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB179) | (~v232(constB179)))),
% 50.37/33.41 inference(rewrite,[status(thm)],[])).
% 50.37/33.41 tff(32620,plain,
% 50.37/33.41 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB179) | (~v232(constB179)))),
% 50.37/33.41 inference(quant_inst,[status(thm)],[])).
% 50.37/33.41 tff(32621,plain,
% 50.37/33.41 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB179) | (~v232(constB179))),
% 50.37/33.41 inference(modus_ponens,[status(thm)],[32620, 32619])).
% 50.37/33.41 tff(32622,plain,
% 50.37/33.41 (~v232(constB179)),
% 50.37/33.41 inference(unit_resolution,[status(thm)],[32621, 8980, 32618])).
% 50.37/33.41 tff(32623,plain,
% 50.37/33.41 (((~![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)))),
% 50.37/33.42 inference(rewrite,[status(thm)],[])).
% 50.37/33.42 tff(32624,plain,
% 50.37/33.42 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB179) | v139(constB179) | (~v148(constB179)))),
% 50.37/33.42 inference(quant_inst,[status(thm)],[])).
% 50.37/33.42 tff(32625,plain,
% 50.37/33.42 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB179) | v139(constB179) | (~v148(constB179))),
% 50.37/33.42 inference(modus_ponens,[status(thm)],[32624, 32623])).
% 50.37/33.42 tff(32626,plain,
% 50.37/33.42 (~v148(constB179)),
% 50.37/33.42 inference(unit_resolution,[status(thm)],[32625, 9016, 32586, 32582])).
% 50.37/33.42 tff(32627,plain,
% 50.37/33.42 (((~![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)))),
% 50.37/33.42 inference(rewrite,[status(thm)],[])).
% 50.37/33.42 tff(32628,plain,
% 50.37/33.42 ((v148(constB179) | (~v197(constB179)) | v252(constB179)) <=> (v252(constB179) | v148(constB179) | (~v197(constB179)))),
% 50.37/33.42 inference(rewrite,[status(thm)],[])).
% 50.37/33.42 tff(32629,plain,
% 50.37/33.42 (((~![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))))),
% 50.37/33.42 inference(monotonicity,[status(thm)],[32628])).
% 50.37/33.42 tff(32630,plain,
% 50.37/33.42 (((~![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)))),
% 50.37/33.42 inference(transitivity,[status(thm)],[32629, 32627])).
% 50.37/33.42 tff(32631,plain,
% 50.37/33.42 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB179) | (~v197(constB179)) | v252(constB179))),
% 50.37/33.42 inference(quant_inst,[status(thm)],[])).
% 50.37/33.42 tff(32632,plain,
% 50.37/33.42 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB179) | v148(constB179) | (~v197(constB179))),
% 50.37/33.42 inference(modus_ponens,[status(thm)],[32631, 32630])).
% 50.37/33.42 tff(32633,plain,
% 50.37/33.42 (v252(constB179) | (~v197(constB179))),
% 50.37/33.42 inference(unit_resolution,[status(thm)],[32632, 9033, 32626])).
% 50.37/33.42 tff(32634,plain,
% 50.37/33.42 (v252(constB179)),
% 50.37/33.42 inference(unit_resolution,[status(thm)],[32633, 32557])).
% 50.37/33.42 tff(32635,plain,
% 50.37/33.42 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB179)) | (~v223(constB179, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB179)) | (~v223(constB179, bitIndex3)))),
% 50.37/33.42 inference(rewrite,[status(thm)],[])).
% 50.37/33.42 tff(32636,plain,
% 50.37/33.42 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB179)) | (~v223(constB179, bitIndex3)))),
% 50.37/33.42 inference(quant_inst,[status(thm)],[])).
% 50.37/33.42 tff(32637,plain,
% 50.37/33.42 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB179)) | (~v223(constB179, bitIndex3))),
% 50.37/33.42 inference(modus_ponens,[status(thm)],[32636, 32635])).
% 50.37/33.42 tff(32638,plain,
% 50.37/33.42 (~v223(constB179, bitIndex3)),
% 50.37/33.42 inference(unit_resolution,[status(thm)],[32637, 9048, 32634])).
% 50.37/33.42 tff(32639,plain,
% 50.37/33.42 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB179)) | v223(constB179, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB179)) | v223(constB179, bitIndex3))),
% 50.37/33.42 inference(rewrite,[status(thm)],[])).
% 50.37/33.42 tff(32640,plain,
% 50.37/33.42 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB179)) | v223(constB179, bitIndex3))),
% 50.37/33.42 inference(quant_inst,[status(thm)],[])).
% 50.37/33.42 tff(32641,plain,
% 50.37/33.42 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB179)) | v223(constB179, bitIndex3)),
% 50.37/33.42 inference(modus_ponens,[status(thm)],[32640, 32639])).
% 50.37/33.42 tff(32642,plain,
% 50.37/33.42 (~v237(constB179)),
% 50.37/33.42 inference(unit_resolution,[status(thm)],[32641, 9062, 32638])).
% 50.37/33.42 tff(32643,plain,
% 50.37/33.42 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB179) | v232(constB179) | (~v248(constB179)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB179) | v232(constB179) | (~v248(constB179)))),
% 50.37/33.42 inference(rewrite,[status(thm)],[])).
% 50.37/33.42 tff(32644,plain,
% 50.37/33.42 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB179) | v232(constB179) | (~v248(constB179)))),
% 50.37/33.42 inference(quant_inst,[status(thm)],[])).
% 50.37/33.42 tff(32645,plain,
% 50.37/33.42 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB179) | v232(constB179) | (~v248(constB179))),
% 50.37/33.42 inference(modus_ponens,[status(thm)],[32644, 32643])).
% 50.37/33.42 tff(32646,plain,
% 50.37/33.42 (v232(constB179) | (~v248(constB179))),
% 50.37/33.42 inference(unit_resolution,[status(thm)],[32645, 9076, 32642])).
% 50.37/33.42 tff(32647,plain,
% 50.37/33.42 (~v248(constB179)),
% 50.37/33.42 inference(unit_resolution,[status(thm)],[32646, 32622])).
% 50.37/33.42 tff(32648,plain,
% 50.37/33.42 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB179) | (~v244(constB179)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB179) | (~v244(constB179)))),
% 50.37/33.42 inference(rewrite,[status(thm)],[])).
% 50.37/33.42 tff(32649,plain,
% 50.37/33.42 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB179) | (~v244(constB179)))),
% 50.37/33.42 inference(quant_inst,[status(thm)],[])).
% 50.37/33.42 tff(32650,plain,
% 50.37/33.42 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB179) | (~v244(constB179))),
% 50.37/33.42 inference(modus_ponens,[status(thm)],[32649, 32648])).
% 50.37/33.42 tff(32651,plain,
% 50.37/33.42 (~v244(constB179)),
% 50.37/33.42 inference(unit_resolution,[status(thm)],[32650, 11335, 32647])).
% 50.37/33.42 tff(32652,plain,
% 50.37/33.42 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB179) | (~v216(constB179, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB179) | (~v216(constB179, bitIndex1)))),
% 50.37/33.42 inference(rewrite,[status(thm)],[])).
% 50.37/33.42 tff(32653,plain,
% 50.37/33.42 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB179) | (~v216(constB179, bitIndex1)))),
% 50.37/33.42 inference(quant_inst,[status(thm)],[])).
% 50.37/33.42 tff(32654,plain,
% 50.37/33.42 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB179) | (~v216(constB179, bitIndex1))),
% 50.37/33.42 inference(modus_ponens,[status(thm)],[32653, 32652])).
% 50.37/33.42 tff(32655,plain,
% 50.37/33.42 (~v216(constB179, bitIndex1)),
% 50.37/33.42 inference(unit_resolution,[status(thm)],[32654, 11346, 32651])).
% 50.37/33.42 tff(32656,plain,
% 50.37/33.42 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB179, bitIndex1) | (~v254(constB179)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB179, bitIndex1) | (~v254(constB179)))),
% 50.37/33.42 inference(rewrite,[status(thm)],[])).
% 50.37/33.42 tff(32657,plain,
% 50.37/33.42 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB179, bitIndex1) | (~v254(constB179)))),
% 50.37/33.42 inference(quant_inst,[status(thm)],[])).
% 50.37/33.42 tff(32658,plain,
% 50.37/33.42 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB179, bitIndex1) | (~v254(constB179))),
% 50.37/33.42 inference(modus_ponens,[status(thm)],[32657, 32656])).
% 50.37/33.42 tff(32659,plain,
% 50.37/33.42 (~v254(constB179)),
% 50.37/33.42 inference(unit_resolution,[status(thm)],[32658, 11357, 32655])).
% 50.37/33.42 tff(32660,plain,
% 50.37/33.42 (((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB179) | (~v221(constB179)))) <=> ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB179) | (~v221(constB179)))),
% 50.37/33.42 inference(rewrite,[status(thm)],[])).
% 50.37/33.42 tff(32661,plain,
% 50.37/33.42 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB179) | (~v221(constB179)))),
% 50.37/33.42 inference(quant_inst,[status(thm)],[])).
% 50.37/33.42 tff(32662,plain,
% 50.37/33.42 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB179) | (~v221(constB179))),
% 50.37/33.42 inference(modus_ponens,[status(thm)],[32661, 32660])).
% 50.37/33.42 tff(32663,plain,
% 50.37/33.42 (~v221(constB179)),
% 50.37/33.42 inference(unit_resolution,[status(thm)],[32662, 11505, 32614])).
% 50.37/33.42 tff(32664,plain,
% 50.37/33.42 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB179) | (~v231(constB179)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB179) | (~v231(constB179)))),
% 50.37/33.42 inference(rewrite,[status(thm)],[])).
% 50.37/33.42 tff(32665,plain,
% 50.37/33.42 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB179) | (~v231(constB179)))),
% 50.37/33.42 inference(quant_inst,[status(thm)],[])).
% 50.37/33.42 tff(32666,plain,
% 50.37/33.42 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB179) | (~v231(constB179))),
% 50.37/33.42 inference(modus_ponens,[status(thm)],[32665, 32664])).
% 50.37/33.42 tff(32667,plain,
% 50.37/33.42 (~v231(constB179)),
% 50.37/33.42 inference(unit_resolution,[status(thm)],[32666, 11162, 32642])).
% 50.37/33.42 tff(32668,plain,
% 50.37/33.42 (((~![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)))),
% 50.37/33.42 inference(rewrite,[status(thm)],[])).
% 50.37/33.42 tff(32669,plain,
% 50.37/33.42 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB179) | v231(constB179) | (~v243(constB179)))),
% 50.37/33.42 inference(quant_inst,[status(thm)],[])).
% 50.37/33.42 tff(32670,plain,
% 50.37/33.42 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB179) | v231(constB179) | (~v243(constB179))),
% 50.37/33.42 inference(modus_ponens,[status(thm)],[32669, 32668])).
% 50.37/33.42 tff(32671,plain,
% 50.37/33.42 (~v243(constB179)),
% 50.37/33.42 inference(unit_resolution,[status(thm)],[32670, 11206, 32667, 32663])).
% 50.37/33.42 tff(32672,plain,
% 50.37/33.42 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB179) | v255(constB179))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB179) | v255(constB179))),
% 50.37/33.42 inference(rewrite,[status(thm)],[])).
% 50.37/33.42 tff(32673,plain,
% 50.37/33.42 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB179) | v255(constB179))),
% 50.37/33.42 inference(quant_inst,[status(thm)],[])).
% 50.37/33.42 tff(32674,plain,
% 50.37/33.42 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB179) | v255(constB179)),
% 50.37/33.42 inference(modus_ponens,[status(thm)],[32673, 32672])).
% 50.37/33.42 tff(32675,plain,
% 50.37/33.42 (v255(constB179)),
% 50.37/33.42 inference(unit_resolution,[status(thm)],[32674, 11222, 32671])).
% 50.37/33.42 tff(32676,plain,
% 50.37/33.42 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB179)) | (~v216(constB179, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB179)) | (~v216(constB179, bitIndex2)))),
% 50.37/33.42 inference(rewrite,[status(thm)],[])).
% 50.37/33.42 tff(32677,plain,
% 50.37/33.42 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB179)) | (~v216(constB179, bitIndex2)))),
% 50.37/33.42 inference(quant_inst,[status(thm)],[])).
% 50.37/33.42 tff(32678,plain,
% 50.37/33.42 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB179)) | (~v216(constB179, bitIndex2))),
% 50.37/33.42 inference(modus_ponens,[status(thm)],[32677, 32676])).
% 50.37/33.42 tff(32679,plain,
% 50.37/33.42 (~v216(constB179, bitIndex2)),
% 50.37/33.42 inference(unit_resolution,[status(thm)],[32678, 11237, 32675])).
% 50.37/33.42 tff(32680,plain,
% 50.37/33.42 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v254(constB179) | v216(constB179, bitIndex2) | (~v215(constB179)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB179) | v216(constB179, bitIndex2) | (~v215(constB179)))),
% 50.37/33.42 inference(rewrite,[status(thm)],[])).
% 50.37/33.42 tff(32681,plain,
% 50.37/33.42 ((v216(constB179, bitIndex2) | v254(constB179) | (~v215(constB179))) <=> (v254(constB179) | v216(constB179, bitIndex2) | (~v215(constB179)))),
% 50.37/33.42 inference(rewrite,[status(thm)],[])).
% 50.37/33.42 tff(32682,plain,
% 50.37/33.42 (((~![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)))) | (v254(constB179) | v216(constB179, bitIndex2) | (~v215(constB179))))),
% 50.37/33.42 inference(monotonicity,[status(thm)],[32681])).
% 50.37/33.42 tff(32683,plain,
% 50.37/33.42 (((~![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)))) | v254(constB179) | v216(constB179, bitIndex2) | (~v215(constB179)))),
% 50.37/33.42 inference(transitivity,[status(thm)],[32682, 32680])).
% 50.37/33.42 tff(32684,plain,
% 50.37/33.42 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB179, bitIndex2) | v254(constB179) | (~v215(constB179)))),
% 50.37/33.42 inference(quant_inst,[status(thm)],[])).
% 50.37/33.42 tff(32685,plain,
% 50.37/33.42 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB179) | v216(constB179, bitIndex2) | (~v215(constB179))),
% 50.37/33.42 inference(modus_ponens,[status(thm)],[32684, 32683])).
% 50.37/33.42 tff(32686,plain,
% 50.37/33.42 (v254(constB179) | (~v215(constB179))),
% 50.37/33.42 inference(unit_resolution,[status(thm)],[32685, 11278, 32679])).
% 50.37/33.42 tff(32687,plain,
% 50.37/33.42 (~v215(constB179)),
% 50.37/33.42 inference(unit_resolution,[status(thm)],[32686, 32659])).
% 50.37/33.42 tff(32688,plain,
% 50.37/33.42 ($false),
% 50.37/33.42 inference(unit_resolution,[status(thm)],[32687, 32522])).
% 50.37/33.42 tff(32689,plain,(~(constB179 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.37/33.42 tff(32690,assumption,(constB167 = sK0_VarCurr), introduced(assumption)).
% 50.37/33.42 tff(32691,plain,
% 50.37/33.42 (v215(constB167) <=> v215(sK0_VarCurr)),
% 50.37/33.42 inference(monotonicity,[status(thm)],[32690])).
% 50.37/33.42 tff(32692,plain,
% 50.37/33.42 (v215(sK0_VarCurr) <=> v215(constB167)),
% 50.37/33.42 inference(symmetry,[status(thm)],[32691])).
% 50.37/33.42 tff(32693,plain,
% 50.37/33.42 (v215(constB167)),
% 50.37/33.42 inference(modus_ponens,[status(thm)],[11268, 32692])).
% 50.37/33.42 tff(32694,plain,
% 50.37/33.42 (((~![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)))),
% 50.37/33.42 inference(rewrite,[status(thm)],[])).
% 50.37/33.42 tff(32695,plain,
% 50.37/33.42 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB167, bitIndex2) | (~v88(constB167, bitIndex2)))),
% 50.37/33.42 inference(quant_inst,[status(thm)],[])).
% 50.37/33.42 tff(32696,plain,
% 50.37/33.42 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB167, bitIndex2) | (~v88(constB167, bitIndex2))),
% 50.37/33.42 inference(modus_ponens,[status(thm)],[32695, 32694])).
% 50.37/33.42 tff(32697,plain,
% 50.37/33.42 (~v88(constB167, bitIndex2)),
% 50.37/33.42 inference(unit_resolution,[status(thm)],[32696, 8769, 22276])).
% 50.37/33.42 tff(32698,plain,
% 50.37/33.42 (((~![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)))),
% 50.37/33.42 inference(rewrite,[status(thm)],[])).
% 50.37/33.42 tff(32699,plain,
% 50.37/33.42 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB167, bitIndex1) | (~v88(constB167, bitIndex1)))),
% 50.37/33.42 inference(quant_inst,[status(thm)],[])).
% 50.37/33.42 tff(32700,plain,
% 50.37/33.42 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB167, bitIndex1) | (~v88(constB167, bitIndex1))),
% 50.37/33.42 inference(modus_ponens,[status(thm)],[32699, 32698])).
% 50.37/33.42 tff(32701,plain,
% 50.37/33.42 (~v88(constB167, bitIndex1)),
% 50.37/33.42 inference(unit_resolution,[status(thm)],[32700, 10126, 22313])).
% 50.37/33.42 tff(32702,plain,
% 50.37/33.42 (((~![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))),
% 50.37/33.42 inference(rewrite,[status(thm)],[])).
% 50.37/33.42 tff(32703,plain,
% 50.37/33.42 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB167, bitIndex0)) | v88(constB167, bitIndex0))),
% 50.37/33.42 inference(quant_inst,[status(thm)],[])).
% 50.37/33.42 tff(32704,plain,
% 50.37/33.42 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB167, bitIndex0)) | v88(constB167, bitIndex0)),
% 50.37/33.42 inference(modus_ponens,[status(thm)],[32703, 32702])).
% 50.37/33.42 tff(32705,plain,
% 50.37/33.42 (v88(constB167, bitIndex0)),
% 50.37/33.42 inference(unit_resolution,[status(thm)],[32704, 8662, 22347])).
% 50.37/33.42 tff(32706,plain,
% 50.37/33.42 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | ((~v88(constB167, bitIndex0)) | v88(constB167, bitIndex2) | v88(constB167, bitIndex1) | v140(constB167))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB167, bitIndex0)) | v88(constB167, bitIndex2) | v88(constB167, bitIndex1) | v140(constB167))),
% 50.37/33.42 inference(rewrite,[status(thm)],[])).
% 50.37/33.42 tff(32707,plain,
% 50.37/33.42 ((v88(constB167, bitIndex2) | v88(constB167, bitIndex1) | (~v88(constB167, bitIndex0)) | v140(constB167)) <=> ((~v88(constB167, bitIndex0)) | v88(constB167, bitIndex2) | v88(constB167, bitIndex1) | v140(constB167))),
% 50.37/33.42 inference(rewrite,[status(thm)],[])).
% 50.37/33.42 tff(32708,plain,
% 50.37/33.42 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB167, bitIndex2) | v88(constB167, bitIndex1) | (~v88(constB167, bitIndex0)) | v140(constB167))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | ((~v88(constB167, bitIndex0)) | v88(constB167, bitIndex2) | v88(constB167, bitIndex1) | v140(constB167)))),
% 50.37/33.42 inference(monotonicity,[status(thm)],[32707])).
% 50.37/33.42 tff(32709,plain,
% 50.37/33.42 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB167, bitIndex2) | v88(constB167, bitIndex1) | (~v88(constB167, bitIndex0)) | v140(constB167))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB167, bitIndex0)) | v88(constB167, bitIndex2) | v88(constB167, bitIndex1) | v140(constB167))),
% 50.37/33.42 inference(transitivity,[status(thm)],[32708, 32706])).
% 50.37/33.42 tff(32710,plain,
% 50.37/33.42 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB167, bitIndex2) | v88(constB167, bitIndex1) | (~v88(constB167, bitIndex0)) | v140(constB167))),
% 50.37/33.42 inference(quant_inst,[status(thm)],[])).
% 50.37/33.42 tff(32711,plain,
% 50.37/33.42 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB167, bitIndex0)) | v88(constB167, bitIndex2) | v88(constB167, bitIndex1) | v140(constB167)),
% 50.37/33.42 inference(modus_ponens,[status(thm)],[32710, 32709])).
% 50.37/33.42 tff(32712,plain,
% 50.37/33.42 (v140(constB167)),
% 50.37/33.42 inference(unit_resolution,[status(thm)],[32711, 10178, 32705, 32701, 32697])).
% 50.37/33.42 tff(32713,plain,
% 50.37/33.42 (((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB167) | (~v140(constB167)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB167) | (~v140(constB167)))),
% 50.37/33.42 inference(rewrite,[status(thm)],[])).
% 50.37/33.42 tff(32714,plain,
% 50.37/33.42 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB167) | (~v140(constB167)))),
% 50.37/33.42 inference(quant_inst,[status(thm)],[])).
% 50.37/33.42 tff(32715,plain,
% 50.37/33.42 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB167) | (~v140(constB167))),
% 50.37/33.42 inference(modus_ponens,[status(thm)],[32714, 32713])).
% 50.37/33.42 tff(32716,plain,
% 50.37/33.42 (v200(constB167)),
% 50.37/33.42 inference(unit_resolution,[status(thm)],[32715, 10192, 32712])).
% 50.37/33.42 tff(32717,plain,
% 50.37/33.42 (((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB167) | (~v200(constB167)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB167) | (~v200(constB167)))),
% 50.37/33.42 inference(rewrite,[status(thm)],[])).
% 50.37/33.42 tff(32718,plain,
% 50.37/33.42 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB167) | (~v200(constB167)))),
% 50.37/33.42 inference(quant_inst,[status(thm)],[])).
% 50.37/33.42 tff(32719,plain,
% 50.37/33.42 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB167) | (~v200(constB167))),
% 50.37/33.42 inference(modus_ponens,[status(thm)],[32718, 32717])).
% 50.37/33.42 tff(32720,plain,
% 50.37/33.42 (v199(constB167)),
% 50.37/33.42 inference(unit_resolution,[status(thm)],[32719, 10203, 32716])).
% 50.37/33.42 tff(32721,plain,
% 50.37/33.42 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB167) | (~v199(constB167)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB167) | (~v199(constB167)))),
% 50.37/33.42 inference(rewrite,[status(thm)],[])).
% 50.37/33.42 tff(32722,plain,
% 50.37/33.42 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB167) | (~v199(constB167)))),
% 50.37/33.42 inference(quant_inst,[status(thm)],[])).
% 50.37/33.42 tff(32723,plain,
% 50.37/33.42 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB167) | (~v199(constB167))),
% 50.37/33.42 inference(modus_ponens,[status(thm)],[32722, 32721])).
% 50.37/33.42 tff(32724,plain,
% 50.37/33.42 (v198(constB167)),
% 50.37/33.42 inference(unit_resolution,[status(thm)],[32723, 8809, 32720])).
% 50.37/33.42 tff(32725,plain,
% 50.37/33.42 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB167)) | (~v201(constB167)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB167)) | (~v201(constB167)))),
% 50.37/33.42 inference(rewrite,[status(thm)],[])).
% 50.37/33.42 tff(32726,plain,
% 50.37/33.42 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB167)) | (~v201(constB167)))),
% 50.37/33.42 inference(quant_inst,[status(thm)],[])).
% 50.37/33.42 tff(32727,plain,
% 50.37/33.42 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB167)) | (~v201(constB167))),
% 50.37/33.42 inference(modus_ponens,[status(thm)],[32726, 32725])).
% 50.37/33.42 tff(32728,plain,
% 50.37/33.42 (~v201(constB167)),
% 50.37/33.42 inference(unit_resolution,[status(thm)],[32727, 8823, 32724])).
% 50.37/33.42 tff(32729,plain,
% 50.37/33.42 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB167) | (~v198(constB167)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB167) | (~v198(constB167)))),
% 50.37/33.42 inference(rewrite,[status(thm)],[])).
% 50.37/33.42 tff(32730,plain,
% 50.37/33.42 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB167) | (~v198(constB167)))),
% 50.37/33.42 inference(quant_inst,[status(thm)],[])).
% 50.37/33.42 tff(32731,plain,
% 50.37/33.42 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB167) | (~v198(constB167))),
% 50.37/33.42 inference(modus_ponens,[status(thm)],[32730, 32729])).
% 50.37/33.42 tff(32732,plain,
% 50.37/33.42 (v197(constB167)),
% 50.37/33.42 inference(unit_resolution,[status(thm)],[32731, 8834, 32724])).
% 50.37/33.42 tff(32733,plain,
% 50.37/33.42 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB167) | v201(constB167) | (~v197(constB167)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB167) | v201(constB167) | (~v197(constB167)))),
% 50.37/33.42 inference(rewrite,[status(thm)],[])).
% 50.37/33.42 tff(32734,plain,
% 50.37/33.42 (((~v197(constB167)) | v201(constB167) | v227(constB167)) <=> (v227(constB167) | v201(constB167) | (~v197(constB167)))),
% 50.37/33.42 inference(rewrite,[status(thm)],[])).
% 50.37/33.42 tff(32735,plain,
% 50.37/33.42 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB167)) | v201(constB167) | v227(constB167))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB167) | v201(constB167) | (~v197(constB167))))),
% 50.37/33.42 inference(monotonicity,[status(thm)],[32734])).
% 50.37/33.42 tff(32736,plain,
% 50.37/33.42 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB167)) | v201(constB167) | v227(constB167))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB167) | v201(constB167) | (~v197(constB167)))),
% 50.37/33.42 inference(transitivity,[status(thm)],[32735, 32733])).
% 50.37/33.42 tff(32737,plain,
% 50.37/33.42 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB167)) | v201(constB167) | v227(constB167))),
% 50.37/33.42 inference(quant_inst,[status(thm)],[])).
% 50.37/33.42 tff(32738,plain,
% 50.37/33.42 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB167) | v201(constB167) | (~v197(constB167))),
% 50.37/33.42 inference(modus_ponens,[status(thm)],[32737, 32736])).
% 50.37/33.42 tff(32739,plain,
% 50.37/33.42 (v227(constB167)),
% 50.37/33.42 inference(unit_resolution,[status(thm)],[32738, 8848, 32732, 32728])).
% 50.37/33.42 tff(32740,plain,
% 50.37/33.42 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB167)) | (~v223(constB167, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB167)) | (~v223(constB167, bitIndex0)))),
% 50.37/33.42 inference(rewrite,[status(thm)],[])).
% 50.37/33.42 tff(32741,plain,
% 50.37/33.42 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB167)) | (~v223(constB167, bitIndex0)))),
% 50.37/33.42 inference(quant_inst,[status(thm)],[])).
% 50.37/33.42 tff(32742,plain,
% 50.37/33.42 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB167)) | (~v223(constB167, bitIndex0))),
% 50.37/33.42 inference(modus_ponens,[status(thm)],[32741, 32740])).
% 50.37/33.42 tff(32743,plain,
% 50.37/33.42 (~v223(constB167, bitIndex0)),
% 50.37/33.42 inference(unit_resolution,[status(thm)],[32742, 8862, 32739])).
% 50.37/33.42 tff(32744,plain,
% 50.37/33.42 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB167)) | (~v199(constB167)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB167)) | (~v199(constB167)))),
% 50.37/33.42 inference(rewrite,[status(thm)],[])).
% 50.37/33.42 tff(32745,plain,
% 50.37/33.42 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB167)) | (~v199(constB167)))),
% 50.37/33.42 inference(quant_inst,[status(thm)],[])).
% 50.37/33.42 tff(32746,plain,
% 50.37/33.42 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB167)) | (~v199(constB167))),
% 50.37/33.42 inference(modus_ponens,[status(thm)],[32745, 32744])).
% 50.37/33.42 tff(32747,plain,
% 50.37/33.42 (~v183(constB167)),
% 50.37/33.42 inference(unit_resolution,[status(thm)],[32746, 8873, 32720])).
% 50.37/33.42 tff(32748,plain,
% 50.37/33.42 (((~![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)))),
% 50.37/33.42 inference(rewrite,[status(thm)],[])).
% 50.37/33.42 tff(32749,plain,
% 50.37/33.42 (((~v197(constB167)) | v183(constB167) | v228(constB167)) <=> (v228(constB167) | v183(constB167) | (~v197(constB167)))),
% 50.37/33.42 inference(rewrite,[status(thm)],[])).
% 50.37/33.42 tff(32750,plain,
% 50.37/33.42 (((~![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))))),
% 50.37/33.42 inference(monotonicity,[status(thm)],[32749])).
% 50.37/33.42 tff(32751,plain,
% 50.37/33.42 (((~![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)))),
% 50.37/33.42 inference(transitivity,[status(thm)],[32750, 32748])).
% 50.37/33.42 tff(32752,plain,
% 50.37/33.42 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB167)) | v183(constB167) | v228(constB167))),
% 50.37/33.42 inference(quant_inst,[status(thm)],[])).
% 50.37/33.42 tff(32753,plain,
% 50.37/33.42 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB167) | v183(constB167) | (~v197(constB167))),
% 50.37/33.42 inference(modus_ponens,[status(thm)],[32752, 32751])).
% 50.37/33.42 tff(32754,plain,
% 50.37/33.42 (v228(constB167)),
% 50.37/33.42 inference(unit_resolution,[status(thm)],[32753, 8887, 32732, 32747])).
% 50.37/33.42 tff(32755,plain,
% 50.37/33.42 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB167)) | (~v223(constB167, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB167)) | (~v223(constB167, bitIndex1)))),
% 50.37/33.42 inference(rewrite,[status(thm)],[])).
% 50.37/33.42 tff(32756,plain,
% 50.37/33.42 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB167)) | (~v223(constB167, bitIndex1)))),
% 50.37/33.42 inference(quant_inst,[status(thm)],[])).
% 50.37/33.42 tff(32757,plain,
% 50.37/33.42 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB167)) | (~v223(constB167, bitIndex1))),
% 50.37/33.42 inference(modus_ponens,[status(thm)],[32756, 32755])).
% 50.37/33.42 tff(32758,plain,
% 50.37/33.42 (~v223(constB167, bitIndex1)),
% 50.37/33.42 inference(unit_resolution,[status(thm)],[32757, 8901, 32754])).
% 50.37/33.42 tff(32759,plain,
% 50.37/33.42 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB167, bitIndex0) | v223(constB167, bitIndex1) | (~v229(constB167)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB167, bitIndex0) | v223(constB167, bitIndex1) | (~v229(constB167)))),
% 50.37/33.42 inference(rewrite,[status(thm)],[])).
% 50.37/33.42 tff(32760,plain,
% 50.37/33.42 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB167, bitIndex0) | v223(constB167, bitIndex1) | (~v229(constB167)))),
% 50.37/33.42 inference(quant_inst,[status(thm)],[])).
% 50.37/33.42 tff(32761,plain,
% 50.37/33.42 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB167, bitIndex0) | v223(constB167, bitIndex1) | (~v229(constB167))),
% 50.37/33.42 inference(modus_ponens,[status(thm)],[32760, 32759])).
% 50.37/33.42 tff(32762,plain,
% 50.37/33.42 (~v229(constB167)),
% 50.37/33.42 inference(unit_resolution,[status(thm)],[32761, 8915, 32758, 32743])).
% 50.37/33.42 tff(32763,plain,
% 50.37/33.42 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB167) | (~v225(constB167)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB167) | (~v225(constB167)))),
% 50.37/33.42 inference(rewrite,[status(thm)],[])).
% 50.37/33.42 tff(32764,plain,
% 50.37/33.42 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB167) | (~v225(constB167)))),
% 50.37/33.42 inference(quant_inst,[status(thm)],[])).
% 50.37/33.42 tff(32765,plain,
% 50.37/33.42 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB167) | (~v225(constB167))),
% 50.37/33.42 inference(modus_ponens,[status(thm)],[32764, 32763])).
% 50.37/33.42 tff(32766,plain,
% 50.37/33.42 (~v225(constB167)),
% 50.37/33.42 inference(unit_resolution,[status(thm)],[32765, 8929, 32762])).
% 50.37/33.42 tff(32767,plain,
% 50.37/33.42 (((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB167)) | (~v200(constB167)))) <=> ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB167)) | (~v200(constB167)))),
% 50.37/33.42 inference(rewrite,[status(thm)],[])).
% 50.37/33.42 tff(32768,plain,
% 50.37/33.42 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB167)) | (~v200(constB167)))),
% 50.37/33.42 inference(quant_inst,[status(thm)],[])).
% 50.37/33.42 tff(32769,plain,
% 50.37/33.42 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB167)) | (~v200(constB167))),
% 50.37/33.42 inference(modus_ponens,[status(thm)],[32768, 32767])).
% 50.37/33.42 tff(32770,plain,
% 50.37/33.42 (~v166(constB167)),
% 50.37/33.42 inference(unit_resolution,[status(thm)],[32769, 10263, 32716])).
% 50.37/33.42 tff(32771,plain,
% 50.37/33.42 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB167) | v166(constB167) | (~v197(constB167)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB167) | v166(constB167) | (~v197(constB167)))),
% 50.37/33.42 inference(rewrite,[status(thm)],[])).
% 50.37/33.42 tff(32772,plain,
% 50.37/33.42 (((~v197(constB167)) | v166(constB167) | v241(constB167)) <=> (v241(constB167) | v166(constB167) | (~v197(constB167)))),
% 50.37/33.42 inference(rewrite,[status(thm)],[])).
% 50.37/33.42 tff(32773,plain,
% 50.37/33.42 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB167)) | v166(constB167) | v241(constB167))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB167) | v166(constB167) | (~v197(constB167))))),
% 50.37/33.42 inference(monotonicity,[status(thm)],[32772])).
% 50.37/33.42 tff(32774,plain,
% 50.37/33.42 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB167)) | v166(constB167) | v241(constB167))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB167) | v166(constB167) | (~v197(constB167)))),
% 50.37/33.42 inference(transitivity,[status(thm)],[32773, 32771])).
% 50.37/33.42 tff(32775,plain,
% 50.37/33.42 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB167)) | v166(constB167) | v241(constB167))),
% 50.37/33.42 inference(quant_inst,[status(thm)],[])).
% 50.37/33.42 tff(32776,plain,
% 50.37/33.42 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB167) | v166(constB167) | (~v197(constB167))),
% 50.37/33.42 inference(modus_ponens,[status(thm)],[32775, 32774])).
% 50.37/33.42 tff(32777,plain,
% 50.37/33.42 (v241(constB167) | (~v197(constB167))),
% 50.37/33.42 inference(unit_resolution,[status(thm)],[32776, 10277, 32770])).
% 50.37/33.42 tff(32778,plain,
% 50.37/33.42 (v241(constB167)),
% 50.37/33.42 inference(unit_resolution,[status(thm)],[32777, 32732])).
% 50.37/33.42 tff(32779,plain,
% 50.37/33.42 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB167)) | (~v223(constB167, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB167)) | (~v223(constB167, bitIndex2)))),
% 50.37/33.42 inference(rewrite,[status(thm)],[])).
% 50.37/33.42 tff(32780,plain,
% 50.37/33.42 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB167)) | (~v223(constB167, bitIndex2)))),
% 50.37/33.42 inference(quant_inst,[status(thm)],[])).
% 50.37/33.42 tff(32781,plain,
% 50.37/33.42 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB167)) | (~v223(constB167, bitIndex2))),
% 50.37/33.42 inference(modus_ponens,[status(thm)],[32780, 32779])).
% 50.37/33.42 tff(32782,plain,
% 50.37/33.42 (~v223(constB167, bitIndex2)),
% 50.37/33.42 inference(unit_resolution,[status(thm)],[32781, 10292, 32778])).
% 50.37/33.42 tff(32783,plain,
% 50.37/33.42 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v223(constB167, bitIndex2) | v225(constB167) | (~v242(constB167)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v223(constB167, bitIndex2) | v225(constB167) | (~v242(constB167)))),
% 50.37/33.42 inference(rewrite,[status(thm)],[])).
% 50.37/33.42 tff(32784,plain,
% 50.37/33.42 ((v225(constB167) | v223(constB167, bitIndex2) | (~v242(constB167))) <=> (v223(constB167, bitIndex2) | v225(constB167) | (~v242(constB167)))),
% 50.37/33.42 inference(rewrite,[status(thm)],[])).
% 50.37/33.42 tff(32785,plain,
% 50.37/33.42 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB167) | v223(constB167, bitIndex2) | (~v242(constB167)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v223(constB167, bitIndex2) | v225(constB167) | (~v242(constB167))))),
% 50.37/33.42 inference(monotonicity,[status(thm)],[32784])).
% 50.37/33.42 tff(32786,plain,
% 50.37/33.42 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB167) | v223(constB167, bitIndex2) | (~v242(constB167)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v223(constB167, bitIndex2) | v225(constB167) | (~v242(constB167)))),
% 50.37/33.42 inference(transitivity,[status(thm)],[32785, 32783])).
% 50.37/33.42 tff(32787,plain,
% 50.37/33.42 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB167) | v223(constB167, bitIndex2) | (~v242(constB167)))),
% 50.37/33.42 inference(quant_inst,[status(thm)],[])).
% 50.37/33.42 tff(32788,plain,
% 50.37/33.42 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v223(constB167, bitIndex2) | v225(constB167) | (~v242(constB167))),
% 50.37/33.42 inference(modus_ponens,[status(thm)],[32787, 32786])).
% 50.37/33.42 tff(32789,plain,
% 50.37/33.42 (v225(constB167) | (~v242(constB167))),
% 50.37/33.42 inference(unit_resolution,[status(thm)],[32788, 10306, 32782])).
% 50.37/33.42 tff(32790,plain,
% 50.37/33.42 (~v242(constB167)),
% 50.37/33.42 inference(unit_resolution,[status(thm)],[32789, 32766])).
% 50.37/33.42 tff(32791,plain,
% 50.37/33.42 (((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB167) | (~v238(constB167)))) <=> ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB167) | (~v238(constB167)))),
% 50.37/33.42 inference(rewrite,[status(thm)],[])).
% 50.37/33.42 tff(32792,plain,
% 50.37/33.42 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB167) | (~v238(constB167)))),
% 50.37/33.42 inference(quant_inst,[status(thm)],[])).
% 50.37/33.42 tff(32793,plain,
% 50.37/33.42 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB167) | (~v238(constB167))),
% 50.37/33.42 inference(modus_ponens,[status(thm)],[32792, 32791])).
% 50.37/33.42 tff(32794,plain,
% 50.37/33.42 (~v238(constB167)),
% 50.37/33.42 inference(unit_resolution,[status(thm)],[32793, 10318, 32790])).
% 50.37/33.42 tff(32795,plain,
% 50.37/33.42 (((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB167) | (~v237(constB167)))) <=> ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB167) | (~v237(constB167)))),
% 50.37/33.43 inference(rewrite,[status(thm)],[])).
% 50.37/33.43 tff(32796,plain,
% 50.37/33.43 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB167) | (~v237(constB167)))),
% 50.37/33.43 inference(quant_inst,[status(thm)],[])).
% 50.37/33.43 tff(32797,plain,
% 50.37/33.43 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB167) | (~v237(constB167))),
% 50.37/33.43 inference(modus_ponens,[status(thm)],[32796, 32795])).
% 50.37/33.43 tff(32798,plain,
% 50.37/33.43 (~v237(constB167)),
% 50.37/33.43 inference(unit_resolution,[status(thm)],[32797, 10329, 32794])).
% 50.37/33.43 tff(32799,plain,
% 50.37/33.43 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB167)) | v223(constB167, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB167)) | v223(constB167, bitIndex2))),
% 50.37/33.43 inference(rewrite,[status(thm)],[])).
% 50.37/33.43 tff(32800,plain,
% 50.37/33.43 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB167)) | v223(constB167, bitIndex2))),
% 50.37/33.43 inference(quant_inst,[status(thm)],[])).
% 50.37/33.43 tff(32801,plain,
% 50.37/33.43 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB167)) | v223(constB167, bitIndex2)),
% 50.37/33.43 inference(modus_ponens,[status(thm)],[32800, 32799])).
% 50.37/33.43 tff(32802,plain,
% 50.37/33.43 (~v224(constB167)),
% 50.37/33.43 inference(unit_resolution,[status(thm)],[32801, 10343, 32782])).
% 50.37/33.43 tff(32803,plain,
% 50.37/33.43 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB167)) | v223(constB167, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB167)) | v223(constB167, bitIndex1))),
% 50.37/33.43 inference(rewrite,[status(thm)],[])).
% 50.37/33.43 tff(32804,plain,
% 50.37/33.43 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB167)) | v223(constB167, bitIndex1))),
% 50.37/33.43 inference(quant_inst,[status(thm)],[])).
% 50.37/33.43 tff(32805,plain,
% 50.37/33.43 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB167)) | v223(constB167, bitIndex1)),
% 50.37/33.43 inference(modus_ponens,[status(thm)],[32804, 32803])).
% 50.37/33.43 tff(32806,plain,
% 50.37/33.43 (~v222(constB167)),
% 50.37/33.43 inference(unit_resolution,[status(thm)],[32805, 8954, 32758])).
% 50.37/33.43 tff(32807,plain,
% 50.37/33.43 (((~![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)))),
% 50.37/33.43 inference(rewrite,[status(thm)],[])).
% 50.37/33.43 tff(32808,plain,
% 50.37/33.43 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB167) | v224(constB167) | (~v236(constB167)))),
% 50.37/33.43 inference(quant_inst,[status(thm)],[])).
% 50.37/33.43 tff(32809,plain,
% 50.37/33.43 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB167) | v224(constB167) | (~v236(constB167))),
% 50.37/33.43 inference(modus_ponens,[status(thm)],[32808, 32807])).
% 50.37/33.43 tff(32810,plain,
% 50.37/33.43 (~v236(constB167)),
% 50.37/33.43 inference(unit_resolution,[status(thm)],[32809, 8968, 32806, 32802])).
% 50.37/33.43 tff(32811,plain,
% 50.37/33.43 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB167) | (~v232(constB167)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB167) | (~v232(constB167)))),
% 50.37/33.43 inference(rewrite,[status(thm)],[])).
% 50.37/33.43 tff(32812,plain,
% 50.37/33.43 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB167) | (~v232(constB167)))),
% 50.37/33.43 inference(quant_inst,[status(thm)],[])).
% 50.37/33.43 tff(32813,plain,
% 50.37/33.43 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB167) | (~v232(constB167))),
% 50.37/33.43 inference(modus_ponens,[status(thm)],[32812, 32811])).
% 50.37/33.43 tff(32814,plain,
% 50.37/33.43 (~v232(constB167)),
% 50.37/33.43 inference(unit_resolution,[status(thm)],[32813, 8980, 32810])).
% 50.37/33.43 tff(32815,plain,
% 50.37/33.43 (((~![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))),
% 50.37/33.43 inference(rewrite,[status(thm)],[])).
% 50.37/33.43 tff(32816,plain,
% 50.37/33.43 ((v237(constB167) | v232(constB167) | (~v248(constB167))) <=> (v237(constB167) | (~v248(constB167)) | v232(constB167))),
% 50.37/33.43 inference(rewrite,[status(thm)],[])).
% 50.37/33.43 tff(32817,plain,
% 50.37/33.43 (((~![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)))),
% 50.37/33.43 inference(monotonicity,[status(thm)],[32816])).
% 50.37/33.43 tff(32818,plain,
% 50.37/33.43 (((~![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))),
% 50.37/33.43 inference(transitivity,[status(thm)],[32817, 32815])).
% 50.37/33.43 tff(32819,plain,
% 50.37/33.43 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB167) | v232(constB167) | (~v248(constB167)))),
% 50.37/33.43 inference(quant_inst,[status(thm)],[])).
% 50.37/33.43 tff(32820,plain,
% 50.37/33.43 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB167) | (~v248(constB167)) | v232(constB167)),
% 50.37/33.43 inference(modus_ponens,[status(thm)],[32819, 32818])).
% 50.37/33.43 tff(32821,plain,
% 50.37/33.43 (v237(constB167) | (~v248(constB167))),
% 50.37/33.43 inference(unit_resolution,[status(thm)],[32820, 9076, 32814])).
% 50.37/33.43 tff(32822,plain,
% 50.37/33.43 (~v248(constB167)),
% 50.37/33.43 inference(unit_resolution,[status(thm)],[32821, 32798])).
% 50.37/33.43 tff(32823,plain,
% 50.37/33.43 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB167) | (~v244(constB167)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB167) | (~v244(constB167)))),
% 50.37/33.43 inference(rewrite,[status(thm)],[])).
% 50.37/33.43 tff(32824,plain,
% 50.37/33.43 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB167) | (~v244(constB167)))),
% 50.37/33.43 inference(quant_inst,[status(thm)],[])).
% 50.37/33.43 tff(32825,plain,
% 50.37/33.43 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB167) | (~v244(constB167))),
% 50.37/33.43 inference(modus_ponens,[status(thm)],[32824, 32823])).
% 50.37/33.43 tff(32826,plain,
% 50.37/33.43 (~v244(constB167)),
% 50.37/33.43 inference(unit_resolution,[status(thm)],[32825, 11335, 32822])).
% 50.37/33.43 tff(32827,plain,
% 50.37/33.43 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB167) | (~v216(constB167, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB167) | (~v216(constB167, bitIndex1)))),
% 50.37/33.43 inference(rewrite,[status(thm)],[])).
% 50.37/33.43 tff(32828,plain,
% 50.37/33.43 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB167) | (~v216(constB167, bitIndex1)))),
% 50.37/33.43 inference(quant_inst,[status(thm)],[])).
% 50.37/33.43 tff(32829,plain,
% 50.37/33.43 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB167) | (~v216(constB167, bitIndex1))),
% 50.37/33.43 inference(modus_ponens,[status(thm)],[32828, 32827])).
% 50.37/33.43 tff(32830,plain,
% 50.37/33.43 (~v216(constB167, bitIndex1)),
% 50.37/33.43 inference(unit_resolution,[status(thm)],[32829, 11346, 32826])).
% 50.37/33.43 tff(32831,plain,
% 50.37/33.43 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB167, bitIndex1) | (~v254(constB167)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB167, bitIndex1) | (~v254(constB167)))),
% 50.37/33.43 inference(rewrite,[status(thm)],[])).
% 50.37/33.43 tff(32832,plain,
% 50.37/33.43 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB167, bitIndex1) | (~v254(constB167)))),
% 50.37/33.43 inference(quant_inst,[status(thm)],[])).
% 50.37/33.43 tff(32833,plain,
% 50.37/33.43 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB167, bitIndex1) | (~v254(constB167))),
% 50.37/33.43 inference(modus_ponens,[status(thm)],[32832, 32831])).
% 50.37/33.43 tff(32834,plain,
% 50.37/33.43 (~v254(constB167)),
% 50.37/33.43 inference(unit_resolution,[status(thm)],[32833, 11357, 32830])).
% 50.37/33.43 tff(32835,plain,
% 50.37/33.43 (((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB167) | (~v231(constB167)))) <=> ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB167) | (~v231(constB167)))),
% 50.37/33.43 inference(rewrite,[status(thm)],[])).
% 50.37/33.43 tff(32836,plain,
% 50.37/33.43 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB167) | (~v231(constB167)))),
% 50.37/33.43 inference(quant_inst,[status(thm)],[])).
% 50.37/33.43 tff(32837,plain,
% 50.37/33.43 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB167) | (~v231(constB167))),
% 50.37/33.43 inference(modus_ponens,[status(thm)],[32836, 32835])).
% 50.37/33.43 tff(32838,plain,
% 50.37/33.43 (~v231(constB167)),
% 50.37/33.43 inference(unit_resolution,[status(thm)],[32837, 24684, 32814])).
% 50.37/33.43 tff(32839,plain,
% 50.37/33.43 (((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB167) | (~v221(constB167)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB167) | (~v221(constB167)))),
% 50.37/33.43 inference(rewrite,[status(thm)],[])).
% 50.37/33.43 tff(32840,plain,
% 50.37/33.43 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB167) | (~v221(constB167)))),
% 50.37/33.43 inference(quant_inst,[status(thm)],[])).
% 50.37/33.43 tff(32841,plain,
% 50.37/33.43 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB167) | (~v221(constB167))),
% 50.37/33.43 inference(modus_ponens,[status(thm)],[32840, 32839])).
% 50.37/33.43 tff(32842,plain,
% 50.37/33.43 (~v221(constB167)),
% 50.37/33.43 inference(unit_resolution,[status(thm)],[32841, 11192, 32806])).
% 50.37/33.43 tff(32843,plain,
% 50.37/33.43 (((~![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)))),
% 50.37/33.43 inference(rewrite,[status(thm)],[])).
% 50.37/33.43 tff(32844,plain,
% 50.37/33.43 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB167) | v231(constB167) | (~v243(constB167)))),
% 50.37/33.43 inference(quant_inst,[status(thm)],[])).
% 50.37/33.43 tff(32845,plain,
% 50.37/33.43 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB167) | v231(constB167) | (~v243(constB167))),
% 50.37/33.43 inference(modus_ponens,[status(thm)],[32844, 32843])).
% 50.37/33.43 tff(32846,plain,
% 50.37/33.43 (v231(constB167) | (~v243(constB167))),
% 50.37/33.43 inference(unit_resolution,[status(thm)],[32845, 11206, 32842])).
% 50.37/33.43 tff(32847,plain,
% 50.37/33.43 (~v243(constB167)),
% 50.37/33.43 inference(unit_resolution,[status(thm)],[32846, 32838])).
% 50.37/33.43 tff(32848,plain,
% 50.37/33.43 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB167) | v255(constB167))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB167) | v255(constB167))),
% 50.37/33.43 inference(rewrite,[status(thm)],[])).
% 50.37/33.43 tff(32849,plain,
% 50.37/33.43 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB167) | v255(constB167))),
% 50.37/33.43 inference(quant_inst,[status(thm)],[])).
% 50.37/33.43 tff(32850,plain,
% 50.37/33.43 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB167) | v255(constB167)),
% 50.37/33.43 inference(modus_ponens,[status(thm)],[32849, 32848])).
% 50.37/33.43 tff(32851,plain,
% 50.37/33.43 (v255(constB167)),
% 50.37/33.43 inference(unit_resolution,[status(thm)],[32850, 11222, 32847])).
% 50.37/33.43 tff(32852,plain,
% 50.37/33.43 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB167)) | (~v216(constB167, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB167)) | (~v216(constB167, bitIndex2)))),
% 50.37/33.43 inference(rewrite,[status(thm)],[])).
% 50.37/33.43 tff(32853,plain,
% 50.37/33.43 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB167)) | (~v216(constB167, bitIndex2)))),
% 50.37/33.43 inference(quant_inst,[status(thm)],[])).
% 50.37/33.43 tff(32854,plain,
% 50.37/33.43 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB167)) | (~v216(constB167, bitIndex2))),
% 50.37/33.43 inference(modus_ponens,[status(thm)],[32853, 32852])).
% 50.37/33.43 tff(32855,plain,
% 50.37/33.43 (~v216(constB167, bitIndex2)),
% 50.37/33.43 inference(unit_resolution,[status(thm)],[32854, 11237, 32851])).
% 50.37/33.43 tff(32856,plain,
% 50.37/33.43 (((~![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)))) | v216(constB167, bitIndex2) | v254(constB167) | (~v215(constB167)))),
% 50.37/33.43 inference(rewrite,[status(thm)],[])).
% 50.37/33.43 tff(32857,plain,
% 50.37/33.43 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB167, bitIndex2) | v254(constB167) | (~v215(constB167)))),
% 50.37/33.43 inference(quant_inst,[status(thm)],[])).
% 50.37/33.43 tff(32858,plain,
% 50.37/33.43 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB167, bitIndex2) | v254(constB167) | (~v215(constB167))),
% 50.37/33.43 inference(modus_ponens,[status(thm)],[32857, 32856])).
% 50.37/33.43 tff(32859,plain,
% 50.37/33.43 (v254(constB167) | (~v215(constB167))),
% 50.37/33.43 inference(unit_resolution,[status(thm)],[32858, 11278, 32855])).
% 50.37/33.43 tff(32860,plain,
% 50.37/33.43 (~v215(constB167)),
% 50.37/33.43 inference(unit_resolution,[status(thm)],[32859, 32834])).
% 50.37/33.43 tff(32861,plain,
% 50.37/33.43 ($false),
% 50.37/33.43 inference(unit_resolution,[status(thm)],[32860, 32693])).
% 50.37/33.43 tff(32862,plain,(~(constB167 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.37/33.43 tff(32863,assumption,(constB39 = sK0_VarCurr), introduced(assumption)).
% 50.37/33.43 tff(32864,plain,
% 50.37/33.43 (v215(constB39) <=> v215(sK0_VarCurr)),
% 50.37/33.43 inference(monotonicity,[status(thm)],[32863])).
% 50.37/33.43 tff(32865,plain,
% 50.37/33.43 (v215(sK0_VarCurr) <=> v215(constB39)),
% 50.37/33.43 inference(symmetry,[status(thm)],[32864])).
% 50.37/33.43 tff(32866,plain,
% 50.37/33.43 (v215(constB39)),
% 50.37/33.43 inference(modus_ponens,[status(thm)],[11268, 32865])).
% 50.37/33.43 tff(32867,plain,
% 50.37/33.43 (((~![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)))),
% 50.37/33.43 inference(rewrite,[status(thm)],[])).
% 50.37/33.43 tff(32868,plain,
% 50.37/33.43 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB39, bitIndex2) | (~v88(constB39, bitIndex2)))),
% 50.37/33.43 inference(quant_inst,[status(thm)],[])).
% 50.37/33.43 tff(32869,plain,
% 50.37/33.43 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB39, bitIndex2) | (~v88(constB39, bitIndex2))),
% 50.37/33.43 inference(modus_ponens,[status(thm)],[32868, 32867])).
% 50.37/33.43 tff(32870,plain,
% 50.37/33.43 (~v88(constB39, bitIndex2)),
% 50.37/33.43 inference(unit_resolution,[status(thm)],[32869, 8769, 6370])).
% 50.37/33.43 tff(32871,plain,
% 50.37/33.43 (((~![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)))),
% 50.37/33.43 inference(rewrite,[status(thm)],[])).
% 50.37/33.43 tff(32872,plain,
% 50.37/33.43 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB39, bitIndex0) | (~v88(constB39, bitIndex0)))),
% 50.37/33.43 inference(quant_inst,[status(thm)],[])).
% 50.37/33.43 tff(32873,plain,
% 50.37/33.43 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB39, bitIndex0) | (~v88(constB39, bitIndex0))),
% 50.37/33.43 inference(modus_ponens,[status(thm)],[32872, 32871])).
% 50.37/33.43 tff(32874,plain,
% 50.37/33.43 (~v88(constB39, bitIndex0)),
% 50.37/33.43 inference(unit_resolution,[status(thm)],[32873, 10505, 6435])).
% 50.37/33.43 tff(32875,plain,
% 50.37/33.43 (((~![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))),
% 50.37/33.43 inference(rewrite,[status(thm)],[])).
% 50.37/33.43 tff(32876,plain,
% 50.37/33.43 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB39, bitIndex1)) | v88(constB39, bitIndex1))),
% 50.37/33.43 inference(quant_inst,[status(thm)],[])).
% 50.37/33.43 tff(32877,plain,
% 50.37/33.43 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB39, bitIndex1)) | v88(constB39, bitIndex1)),
% 50.37/33.43 inference(modus_ponens,[status(thm)],[32876, 32875])).
% 50.37/33.43 tff(32878,plain,
% 50.37/33.43 (v88(constB39, bitIndex1)),
% 50.37/33.43 inference(unit_resolution,[status(thm)],[32877, 8707, 6401])).
% 50.37/33.43 tff(32879,plain,
% 50.37/33.43 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB39, bitIndex0) | v88(constB39, bitIndex2) | (~v88(constB39, bitIndex1)) | v143(constB39))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB39, bitIndex0) | v88(constB39, bitIndex2) | (~v88(constB39, bitIndex1)) | v143(constB39))),
% 50.37/33.43 inference(rewrite,[status(thm)],[])).
% 50.37/33.43 tff(32880,plain,
% 50.37/33.43 ((v88(constB39, bitIndex2) | (~v88(constB39, bitIndex1)) | v88(constB39, bitIndex0) | v143(constB39)) <=> (v88(constB39, bitIndex0) | v88(constB39, bitIndex2) | (~v88(constB39, bitIndex1)) | v143(constB39))),
% 50.37/33.43 inference(rewrite,[status(thm)],[])).
% 50.37/33.43 tff(32881,plain,
% 50.37/33.43 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB39, bitIndex2) | (~v88(constB39, bitIndex1)) | v88(constB39, bitIndex0) | v143(constB39))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB39, bitIndex0) | v88(constB39, bitIndex2) | (~v88(constB39, bitIndex1)) | v143(constB39)))),
% 50.37/33.43 inference(monotonicity,[status(thm)],[32880])).
% 50.37/33.43 tff(32882,plain,
% 50.37/33.43 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB39, bitIndex2) | (~v88(constB39, bitIndex1)) | v88(constB39, bitIndex0) | v143(constB39))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB39, bitIndex0) | v88(constB39, bitIndex2) | (~v88(constB39, bitIndex1)) | v143(constB39))),
% 50.37/33.43 inference(transitivity,[status(thm)],[32881, 32879])).
% 50.37/33.43 tff(32883,plain,
% 50.37/33.43 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB39, bitIndex2) | (~v88(constB39, bitIndex1)) | v88(constB39, bitIndex0) | v143(constB39))),
% 50.37/33.43 inference(quant_inst,[status(thm)],[])).
% 50.37/33.43 tff(32884,plain,
% 50.37/33.43 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB39, bitIndex0) | v88(constB39, bitIndex2) | (~v88(constB39, bitIndex1)) | v143(constB39)),
% 50.37/33.43 inference(modus_ponens,[status(thm)],[32883, 32882])).
% 50.37/33.43 tff(32885,plain,
% 50.37/33.43 (v143(constB39)),
% 50.37/33.43 inference(unit_resolution,[status(thm)],[32884, 10523, 32878, 32874, 32870])).
% 50.37/33.43 tff(32886,plain,
% 50.37/33.43 (((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB39) | (~v143(constB39)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB39) | (~v143(constB39)))),
% 50.37/33.43 inference(rewrite,[status(thm)],[])).
% 50.37/33.43 tff(32887,plain,
% 50.37/33.43 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB39) | (~v143(constB39)))),
% 50.37/33.43 inference(quant_inst,[status(thm)],[])).
% 50.37/33.43 tff(32888,plain,
% 50.37/33.43 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB39) | (~v143(constB39))),
% 50.37/33.43 inference(modus_ponens,[status(thm)],[32887, 32886])).
% 50.37/33.43 tff(32889,plain,
% 50.37/33.43 (v142(constB39)),
% 50.37/33.43 inference(unit_resolution,[status(thm)],[32888, 10537, 32885])).
% 50.37/33.43 tff(32890,plain,
% 50.37/33.43 (((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB39) | (~v142(constB39)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB39) | (~v142(constB39)))),
% 50.37/33.43 inference(rewrite,[status(thm)],[])).
% 50.37/33.43 tff(32891,plain,
% 50.37/33.43 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB39) | (~v142(constB39)))),
% 50.37/33.43 inference(quant_inst,[status(thm)],[])).
% 50.37/33.43 tff(32892,plain,
% 50.37/33.43 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB39) | (~v142(constB39))),
% 50.37/33.43 inference(modus_ponens,[status(thm)],[32891, 32890])).
% 50.37/33.43 tff(32893,plain,
% 50.37/33.43 (v198(constB39)),
% 50.37/33.43 inference(unit_resolution,[status(thm)],[32892, 10548, 32889])).
% 50.37/33.43 tff(32894,plain,
% 50.37/33.43 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB39)) | (~v201(constB39)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB39)) | (~v201(constB39)))),
% 50.37/33.43 inference(rewrite,[status(thm)],[])).
% 50.37/33.43 tff(32895,plain,
% 50.37/33.43 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB39)) | (~v201(constB39)))),
% 50.37/33.43 inference(quant_inst,[status(thm)],[])).
% 50.37/33.43 tff(32896,plain,
% 50.37/33.43 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB39)) | (~v201(constB39))),
% 50.37/33.43 inference(modus_ponens,[status(thm)],[32895, 32894])).
% 50.37/33.43 tff(32897,plain,
% 50.37/33.43 (~v201(constB39)),
% 50.37/33.43 inference(unit_resolution,[status(thm)],[32896, 8823, 32893])).
% 50.37/33.43 tff(32898,plain,
% 50.37/33.43 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB39) | (~v198(constB39)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB39) | (~v198(constB39)))),
% 50.37/33.43 inference(rewrite,[status(thm)],[])).
% 50.37/33.43 tff(32899,plain,
% 50.37/33.43 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB39) | (~v198(constB39)))),
% 50.37/33.43 inference(quant_inst,[status(thm)],[])).
% 50.37/33.43 tff(32900,plain,
% 50.37/33.43 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB39) | (~v198(constB39))),
% 50.37/33.43 inference(modus_ponens,[status(thm)],[32899, 32898])).
% 50.37/33.43 tff(32901,plain,
% 50.37/33.43 (v197(constB39)),
% 50.37/33.43 inference(unit_resolution,[status(thm)],[32900, 8834, 32893])).
% 50.37/33.43 tff(32902,plain,
% 50.37/33.43 (((~![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)))),
% 50.37/33.43 inference(rewrite,[status(thm)],[])).
% 50.37/33.43 tff(32903,plain,
% 50.37/33.43 (((~v197(constB39)) | v201(constB39) | v227(constB39)) <=> (v227(constB39) | v201(constB39) | (~v197(constB39)))),
% 50.37/33.43 inference(rewrite,[status(thm)],[])).
% 50.37/33.43 tff(32904,plain,
% 50.37/33.43 (((~![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))))),
% 50.37/33.43 inference(monotonicity,[status(thm)],[32903])).
% 50.37/33.43 tff(32905,plain,
% 50.37/33.43 (((~![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)))),
% 50.37/33.43 inference(transitivity,[status(thm)],[32904, 32902])).
% 50.37/33.43 tff(32906,plain,
% 50.37/33.43 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB39)) | v201(constB39) | v227(constB39))),
% 50.37/33.43 inference(quant_inst,[status(thm)],[])).
% 50.37/33.43 tff(32907,plain,
% 50.37/33.43 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB39) | v201(constB39) | (~v197(constB39))),
% 50.37/33.43 inference(modus_ponens,[status(thm)],[32906, 32905])).
% 50.37/33.43 tff(32908,plain,
% 50.37/33.43 (v227(constB39)),
% 50.37/33.43 inference(unit_resolution,[status(thm)],[32907, 8848, 32901, 32897])).
% 50.37/33.43 tff(32909,plain,
% 50.37/33.43 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB39)) | (~v223(constB39, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB39)) | (~v223(constB39, bitIndex0)))),
% 50.37/33.43 inference(rewrite,[status(thm)],[])).
% 50.37/33.43 tff(32910,plain,
% 50.37/33.43 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB39)) | (~v223(constB39, bitIndex0)))),
% 50.37/33.43 inference(quant_inst,[status(thm)],[])).
% 50.37/33.43 tff(32911,plain,
% 50.37/33.43 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB39)) | (~v223(constB39, bitIndex0))),
% 50.37/33.43 inference(modus_ponens,[status(thm)],[32910, 32909])).
% 50.37/33.43 tff(32912,plain,
% 50.37/33.43 (~v223(constB39, bitIndex0)),
% 50.37/33.43 inference(unit_resolution,[status(thm)],[32911, 8862, 32908])).
% 50.37/33.43 tff(32913,plain,
% 50.37/33.43 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB39, bitIndex0) | (~v222(constB39)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | v223(constB39, bitIndex0) | (~v222(constB39)))),
% 50.37/33.43 inference(rewrite,[status(thm)],[])).
% 50.37/33.43 tff(32914,plain,
% 50.37/33.43 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB39, bitIndex0) | (~v222(constB39)))),
% 50.37/33.43 inference(quant_inst,[status(thm)],[])).
% 50.37/33.43 tff(32915,plain,
% 50.37/33.43 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | v223(constB39, bitIndex0) | (~v222(constB39))),
% 50.37/33.43 inference(modus_ponens,[status(thm)],[32914, 32913])).
% 50.37/33.43 tff(32916,plain,
% 50.37/33.43 (~v222(constB39)),
% 50.37/33.43 inference(unit_resolution,[status(thm)],[32915, 10578, 32912])).
% 50.37/33.43 tff(32917,plain,
% 50.37/33.43 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v139(constB39)) | (~v88(constB39, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB39)) | (~v88(constB39, bitIndex1)))),
% 50.37/33.43 inference(rewrite,[status(thm)],[])).
% 50.37/33.43 tff(32918,plain,
% 50.37/33.43 (((~v88(constB39, bitIndex1)) | (~v139(constB39))) <=> ((~v139(constB39)) | (~v88(constB39, bitIndex1)))),
% 50.37/33.43 inference(rewrite,[status(thm)],[])).
% 50.37/33.43 tff(32919,plain,
% 50.37/33.43 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB39, bitIndex1)) | (~v139(constB39)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v139(constB39)) | (~v88(constB39, bitIndex1))))),
% 50.37/33.43 inference(monotonicity,[status(thm)],[32918])).
% 50.37/33.43 tff(32920,plain,
% 50.37/33.43 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB39, bitIndex1)) | (~v139(constB39)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB39)) | (~v88(constB39, bitIndex1)))),
% 50.37/33.43 inference(transitivity,[status(thm)],[32919, 32917])).
% 50.37/33.43 tff(32921,plain,
% 50.37/33.43 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB39, bitIndex1)) | (~v139(constB39)))),
% 50.37/33.43 inference(quant_inst,[status(thm)],[])).
% 50.37/33.43 tff(32922,plain,
% 50.37/33.43 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB39)) | (~v88(constB39, bitIndex1))),
% 50.37/33.43 inference(modus_ponens,[status(thm)],[32921, 32920])).
% 50.37/33.43 tff(32923,plain,
% 50.37/33.43 (~v139(constB39)),
% 50.37/33.43 inference(unit_resolution,[status(thm)],[32922, 10589, 32878])).
% 50.37/33.43 tff(32924,plain,
% 50.37/33.43 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB39, bitIndex1)) | (~v140(constB39)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB39, bitIndex1)) | (~v140(constB39)))),
% 50.37/33.43 inference(rewrite,[status(thm)],[])).
% 50.37/33.43 tff(32925,plain,
% 50.37/33.43 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB39, bitIndex1)) | (~v140(constB39)))),
% 50.37/33.43 inference(quant_inst,[status(thm)],[])).
% 50.37/33.43 tff(32926,plain,
% 50.37/33.43 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB39, bitIndex1)) | (~v140(constB39))),
% 50.37/33.43 inference(modus_ponens,[status(thm)],[32925, 32924])).
% 50.37/33.43 tff(32927,plain,
% 50.37/33.43 (~v140(constB39)),
% 50.37/33.43 inference(unit_resolution,[status(thm)],[32926, 9002, 32878])).
% 50.37/33.43 tff(32928,plain,
% 50.37/33.43 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | ((~v200(constB39)) | v139(constB39) | v140(constB39))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (~v200(constB39)) | v139(constB39) | v140(constB39))),
% 50.37/33.43 inference(rewrite,[status(thm)],[])).
% 50.37/33.43 tff(32929,plain,
% 50.37/33.43 ((v140(constB39) | v139(constB39) | (~v200(constB39))) <=> ((~v200(constB39)) | v139(constB39) | v140(constB39))),
% 50.37/33.43 inference(rewrite,[status(thm)],[])).
% 50.37/33.43 tff(32930,plain,
% 50.37/33.43 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB39) | v139(constB39) | (~v200(constB39)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | ((~v200(constB39)) | v139(constB39) | v140(constB39)))),
% 50.37/33.43 inference(monotonicity,[status(thm)],[32929])).
% 50.37/33.43 tff(32931,plain,
% 50.37/33.43 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB39) | v139(constB39) | (~v200(constB39)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (~v200(constB39)) | v139(constB39) | v140(constB39))),
% 50.37/33.43 inference(transitivity,[status(thm)],[32930, 32928])).
% 50.37/33.43 tff(32932,plain,
% 50.37/33.43 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB39) | v139(constB39) | (~v200(constB39)))),
% 50.37/33.43 inference(quant_inst,[status(thm)],[])).
% 50.37/33.43 tff(32933,plain,
% 50.37/33.43 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (~v200(constB39)) | v139(constB39) | v140(constB39)),
% 50.37/33.43 inference(modus_ponens,[status(thm)],[32932, 32931])).
% 50.37/33.43 tff(32934,plain,
% 50.37/33.43 (~v200(constB39)),
% 50.37/33.43 inference(unit_resolution,[status(thm)],[32933, 10610, 32927, 32923])).
% 50.37/33.43 tff(32935,plain,
% 50.37/33.43 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB39, bitIndex0) | (~v141(constB39)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB39, bitIndex0) | (~v141(constB39)))),
% 50.37/33.43 inference(rewrite,[status(thm)],[])).
% 50.37/33.43 tff(32936,plain,
% 50.37/33.43 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB39, bitIndex0) | (~v141(constB39)))),
% 50.37/33.43 inference(quant_inst,[status(thm)],[])).
% 50.37/33.43 tff(32937,plain,
% 50.37/33.43 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB39, bitIndex0) | (~v141(constB39))),
% 50.37/33.43 inference(modus_ponens,[status(thm)],[32936, 32935])).
% 50.37/33.43 tff(32938,plain,
% 50.37/33.43 (~v141(constB39)),
% 50.37/33.43 inference(unit_resolution,[status(thm)],[32937, 10624, 32874])).
% 50.37/33.43 tff(32939,plain,
% 50.37/33.43 (((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB39) | v200(constB39) | (~v166(constB39)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB39) | v200(constB39) | (~v166(constB39)))),
% 50.37/33.43 inference(rewrite,[status(thm)],[])).
% 50.37/33.43 tff(32940,plain,
% 50.37/33.43 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB39) | v200(constB39) | (~v166(constB39)))),
% 50.37/33.43 inference(quant_inst,[status(thm)],[])).
% 50.37/33.43 tff(32941,plain,
% 50.37/33.43 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB39) | v200(constB39) | (~v166(constB39))),
% 50.37/33.43 inference(modus_ponens,[status(thm)],[32940, 32939])).
% 50.37/33.43 tff(32942,plain,
% 50.37/33.43 (~v166(constB39)),
% 50.37/33.43 inference(unit_resolution,[status(thm)],[32941, 10638, 32938, 32934])).
% 50.37/33.43 tff(32943,plain,
% 50.37/33.43 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB39) | (~v197(constB39)) | v166(constB39))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB39) | (~v197(constB39)) | v166(constB39))),
% 50.37/33.43 inference(rewrite,[status(thm)],[])).
% 50.37/33.43 tff(32944,plain,
% 50.37/33.43 (((~v197(constB39)) | v166(constB39) | v241(constB39)) <=> (v241(constB39) | (~v197(constB39)) | v166(constB39))),
% 50.37/33.43 inference(rewrite,[status(thm)],[])).
% 50.37/33.43 tff(32945,plain,
% 50.37/33.43 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB39)) | v166(constB39) | v241(constB39))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB39) | (~v197(constB39)) | v166(constB39)))),
% 50.37/33.43 inference(monotonicity,[status(thm)],[32944])).
% 50.37/33.43 tff(32946,plain,
% 50.37/33.43 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB39)) | v166(constB39) | v241(constB39))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB39) | (~v197(constB39)) | v166(constB39))),
% 50.37/33.43 inference(transitivity,[status(thm)],[32945, 32943])).
% 50.37/33.43 tff(32947,plain,
% 50.37/33.43 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB39)) | v166(constB39) | v241(constB39))),
% 50.37/33.43 inference(quant_inst,[status(thm)],[])).
% 50.37/33.43 tff(32948,plain,
% 50.37/33.43 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB39) | (~v197(constB39)) | v166(constB39)),
% 50.37/33.43 inference(modus_ponens,[status(thm)],[32947, 32946])).
% 50.37/33.43 tff(32949,plain,
% 50.37/33.43 (v241(constB39) | (~v197(constB39))),
% 50.37/33.43 inference(unit_resolution,[status(thm)],[32948, 10277, 32942])).
% 50.37/33.43 tff(32950,plain,
% 50.37/33.43 (v241(constB39)),
% 50.37/33.43 inference(unit_resolution,[status(thm)],[32949, 32901])).
% 50.37/33.43 tff(32951,plain,
% 50.37/33.43 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB39)) | (~v223(constB39, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB39)) | (~v223(constB39, bitIndex2)))),
% 50.37/33.43 inference(rewrite,[status(thm)],[])).
% 50.37/33.43 tff(32952,plain,
% 50.37/33.43 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB39)) | (~v223(constB39, bitIndex2)))),
% 50.37/33.43 inference(quant_inst,[status(thm)],[])).
% 50.37/33.43 tff(32953,plain,
% 50.37/33.43 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB39)) | (~v223(constB39, bitIndex2))),
% 50.37/33.43 inference(modus_ponens,[status(thm)],[32952, 32951])).
% 50.37/33.43 tff(32954,plain,
% 50.37/33.43 (~v223(constB39, bitIndex2)),
% 50.37/33.43 inference(unit_resolution,[status(thm)],[32953, 10292, 32950])).
% 50.37/33.43 tff(32955,plain,
% 50.37/33.43 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB39)) | v223(constB39, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB39)) | v223(constB39, bitIndex2))),
% 50.37/33.43 inference(rewrite,[status(thm)],[])).
% 50.37/33.43 tff(32956,plain,
% 50.37/33.43 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB39)) | v223(constB39, bitIndex2))),
% 50.37/33.43 inference(quant_inst,[status(thm)],[])).
% 50.37/33.43 tff(32957,plain,
% 50.37/33.43 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB39)) | v223(constB39, bitIndex2)),
% 50.37/33.43 inference(modus_ponens,[status(thm)],[32956, 32955])).
% 50.37/33.43 tff(32958,plain,
% 50.37/33.43 (~v224(constB39)),
% 50.37/33.43 inference(unit_resolution,[status(thm)],[32957, 10343, 32954])).
% 50.37/33.43 tff(32959,plain,
% 50.37/33.43 (((~![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)))),
% 50.37/33.43 inference(rewrite,[status(thm)],[])).
% 50.37/33.43 tff(32960,plain,
% 50.37/33.43 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB39) | v224(constB39) | (~v236(constB39)))),
% 50.37/33.43 inference(quant_inst,[status(thm)],[])).
% 50.37/33.43 tff(32961,plain,
% 50.37/33.43 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB39) | v224(constB39) | (~v236(constB39))),
% 50.37/33.43 inference(modus_ponens,[status(thm)],[32960, 32959])).
% 50.37/33.43 tff(32962,plain,
% 50.37/33.43 (~v236(constB39)),
% 50.37/33.43 inference(unit_resolution,[status(thm)],[32961, 8968, 32958, 32916])).
% 50.37/33.43 tff(32963,plain,
% 50.37/33.43 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB39) | (~v232(constB39)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB39) | (~v232(constB39)))),
% 50.37/33.43 inference(rewrite,[status(thm)],[])).
% 50.37/33.43 tff(32964,plain,
% 50.37/33.43 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB39) | (~v232(constB39)))),
% 50.37/33.43 inference(quant_inst,[status(thm)],[])).
% 50.37/33.43 tff(32965,plain,
% 50.37/33.43 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB39) | (~v232(constB39))),
% 50.37/33.43 inference(modus_ponens,[status(thm)],[32964, 32963])).
% 50.37/33.43 tff(32966,plain,
% 50.37/33.43 (~v232(constB39)),
% 50.37/33.43 inference(unit_resolution,[status(thm)],[32965, 8980, 32962])).
% 50.37/33.43 tff(32967,plain,
% 50.37/33.43 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | ((~v148(constB39)) | v139(constB39) | v140(constB39))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (~v148(constB39)) | v139(constB39) | v140(constB39))),
% 50.37/33.43 inference(rewrite,[status(thm)],[])).
% 50.37/33.43 tff(32968,plain,
% 50.37/33.43 ((v140(constB39) | v139(constB39) | (~v148(constB39))) <=> ((~v148(constB39)) | v139(constB39) | v140(constB39))),
% 50.37/33.43 inference(rewrite,[status(thm)],[])).
% 50.37/33.43 tff(32969,plain,
% 50.37/33.43 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB39) | v139(constB39) | (~v148(constB39)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | ((~v148(constB39)) | v139(constB39) | v140(constB39)))),
% 50.37/33.43 inference(monotonicity,[status(thm)],[32968])).
% 50.37/33.43 tff(32970,plain,
% 50.37/33.43 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB39) | v139(constB39) | (~v148(constB39)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (~v148(constB39)) | v139(constB39) | v140(constB39))),
% 50.37/33.43 inference(transitivity,[status(thm)],[32969, 32967])).
% 50.37/33.43 tff(32971,plain,
% 50.37/33.43 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB39) | v139(constB39) | (~v148(constB39)))),
% 50.37/33.43 inference(quant_inst,[status(thm)],[])).
% 50.37/33.43 tff(32972,plain,
% 50.37/33.43 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (~v148(constB39)) | v139(constB39) | v140(constB39)),
% 50.37/33.43 inference(modus_ponens,[status(thm)],[32971, 32970])).
% 50.37/33.43 tff(32973,plain,
% 50.37/33.43 (~v148(constB39)),
% 50.37/33.43 inference(unit_resolution,[status(thm)],[32972, 9016, 32927, 32923])).
% 50.37/33.43 tff(32974,plain,
% 50.37/33.43 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB39) | v148(constB39) | (~v197(constB39)))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB39) | v148(constB39) | (~v197(constB39)))),
% 50.37/33.43 inference(rewrite,[status(thm)],[])).
% 50.37/33.43 tff(32975,plain,
% 50.37/33.43 ((v148(constB39) | (~v197(constB39)) | v252(constB39)) <=> (v252(constB39) | v148(constB39) | (~v197(constB39)))),
% 50.37/33.43 inference(rewrite,[status(thm)],[])).
% 50.37/33.43 tff(32976,plain,
% 50.37/33.43 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB39) | (~v197(constB39)) | v252(constB39))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB39) | v148(constB39) | (~v197(constB39))))),
% 50.37/33.43 inference(monotonicity,[status(thm)],[32975])).
% 50.37/33.43 tff(32977,plain,
% 50.37/33.43 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB39) | (~v197(constB39)) | v252(constB39))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB39) | v148(constB39) | (~v197(constB39)))),
% 50.37/33.43 inference(transitivity,[status(thm)],[32976, 32974])).
% 50.37/33.43 tff(32978,plain,
% 50.37/33.43 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB39) | (~v197(constB39)) | v252(constB39))),
% 50.37/33.43 inference(quant_inst,[status(thm)],[])).
% 50.37/33.43 tff(32979,plain,
% 50.37/33.43 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB39) | v148(constB39) | (~v197(constB39))),
% 50.37/33.43 inference(modus_ponens,[status(thm)],[32978, 32977])).
% 50.37/33.43 tff(32980,plain,
% 50.37/33.43 (v252(constB39) | (~v197(constB39))),
% 50.37/33.44 inference(unit_resolution,[status(thm)],[32979, 9033, 32973])).
% 50.37/33.44 tff(32981,plain,
% 50.37/33.44 (v252(constB39)),
% 50.37/33.44 inference(unit_resolution,[status(thm)],[32980, 32901])).
% 50.37/33.44 tff(32982,plain,
% 50.37/33.44 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB39)) | (~v223(constB39, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB39)) | (~v223(constB39, bitIndex3)))),
% 50.37/33.44 inference(rewrite,[status(thm)],[])).
% 50.37/33.44 tff(32983,plain,
% 50.37/33.44 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB39)) | (~v223(constB39, bitIndex3)))),
% 50.37/33.44 inference(quant_inst,[status(thm)],[])).
% 50.37/33.44 tff(32984,plain,
% 50.37/33.44 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB39)) | (~v223(constB39, bitIndex3))),
% 50.37/33.44 inference(modus_ponens,[status(thm)],[32983, 32982])).
% 50.37/33.44 tff(32985,plain,
% 50.37/33.44 (~v223(constB39, bitIndex3)),
% 50.37/33.44 inference(unit_resolution,[status(thm)],[32984, 9048, 32981])).
% 50.37/33.44 tff(32986,plain,
% 50.37/33.44 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB39)) | v223(constB39, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB39)) | v223(constB39, bitIndex3))),
% 50.37/33.44 inference(rewrite,[status(thm)],[])).
% 50.37/33.44 tff(32987,plain,
% 50.37/33.44 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB39)) | v223(constB39, bitIndex3))),
% 50.37/33.44 inference(quant_inst,[status(thm)],[])).
% 50.37/33.44 tff(32988,plain,
% 50.37/33.44 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB39)) | v223(constB39, bitIndex3)),
% 50.37/33.44 inference(modus_ponens,[status(thm)],[32987, 32986])).
% 50.37/33.44 tff(32989,plain,
% 50.37/33.44 (~v237(constB39)),
% 50.37/33.44 inference(unit_resolution,[status(thm)],[32988, 9062, 32985])).
% 50.37/33.44 tff(32990,plain,
% 50.37/33.44 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v232(constB39) | (~v248(constB39)) | v237(constB39))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v232(constB39) | (~v248(constB39)) | v237(constB39))),
% 50.37/33.44 inference(rewrite,[status(thm)],[])).
% 50.37/33.44 tff(32991,plain,
% 50.37/33.44 ((v237(constB39) | v232(constB39) | (~v248(constB39))) <=> (v232(constB39) | (~v248(constB39)) | v237(constB39))),
% 50.37/33.44 inference(rewrite,[status(thm)],[])).
% 50.37/33.44 tff(32992,plain,
% 50.37/33.44 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB39) | v232(constB39) | (~v248(constB39)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v232(constB39) | (~v248(constB39)) | v237(constB39)))),
% 50.37/33.44 inference(monotonicity,[status(thm)],[32991])).
% 50.37/33.44 tff(32993,plain,
% 50.37/33.44 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB39) | v232(constB39) | (~v248(constB39)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v232(constB39) | (~v248(constB39)) | v237(constB39))),
% 50.37/33.44 inference(transitivity,[status(thm)],[32992, 32990])).
% 50.37/33.44 tff(32994,plain,
% 50.37/33.44 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB39) | v232(constB39) | (~v248(constB39)))),
% 50.37/33.44 inference(quant_inst,[status(thm)],[])).
% 50.37/33.44 tff(32995,plain,
% 50.37/33.44 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v232(constB39) | (~v248(constB39)) | v237(constB39)),
% 50.37/33.44 inference(modus_ponens,[status(thm)],[32994, 32993])).
% 50.37/33.44 tff(32996,plain,
% 50.37/33.44 (v232(constB39) | (~v248(constB39))),
% 50.37/33.44 inference(unit_resolution,[status(thm)],[32995, 9076, 32989])).
% 50.37/33.44 tff(32997,plain,
% 50.37/33.44 (~v248(constB39)),
% 50.37/33.44 inference(unit_resolution,[status(thm)],[32996, 32966])).
% 50.37/33.44 tff(32998,plain,
% 50.37/33.44 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB39) | (~v244(constB39)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB39) | (~v244(constB39)))),
% 50.37/33.44 inference(rewrite,[status(thm)],[])).
% 50.37/33.44 tff(32999,plain,
% 50.37/33.44 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB39) | (~v244(constB39)))),
% 50.37/33.44 inference(quant_inst,[status(thm)],[])).
% 50.37/33.44 tff(33000,plain,
% 50.37/33.44 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB39) | (~v244(constB39))),
% 50.37/33.44 inference(modus_ponens,[status(thm)],[32999, 32998])).
% 50.37/33.44 tff(33001,plain,
% 50.37/33.44 (~v244(constB39)),
% 50.37/33.44 inference(unit_resolution,[status(thm)],[33000, 11335, 32997])).
% 50.37/33.44 tff(33002,plain,
% 50.37/33.44 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB39) | (~v216(constB39, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB39) | (~v216(constB39, bitIndex1)))),
% 50.37/33.44 inference(rewrite,[status(thm)],[])).
% 50.37/33.44 tff(33003,plain,
% 50.37/33.44 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB39) | (~v216(constB39, bitIndex1)))),
% 50.37/33.44 inference(quant_inst,[status(thm)],[])).
% 50.37/33.44 tff(33004,plain,
% 50.37/33.44 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB39) | (~v216(constB39, bitIndex1))),
% 50.37/33.44 inference(modus_ponens,[status(thm)],[33003, 33002])).
% 50.37/33.44 tff(33005,plain,
% 50.37/33.44 (~v216(constB39, bitIndex1)),
% 50.37/33.44 inference(unit_resolution,[status(thm)],[33004, 11346, 33001])).
% 50.37/33.44 tff(33006,plain,
% 50.37/33.44 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | ((~v254(constB39)) | v216(constB39, bitIndex1))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB39)) | v216(constB39, bitIndex1))),
% 50.37/33.44 inference(rewrite,[status(thm)],[])).
% 50.37/33.44 tff(33007,plain,
% 50.37/33.44 ((v216(constB39, bitIndex1) | (~v254(constB39))) <=> ((~v254(constB39)) | v216(constB39, bitIndex1))),
% 50.37/33.44 inference(rewrite,[status(thm)],[])).
% 50.37/33.44 tff(33008,plain,
% 50.37/33.44 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB39, bitIndex1) | (~v254(constB39)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | ((~v254(constB39)) | v216(constB39, bitIndex1)))),
% 50.37/33.44 inference(monotonicity,[status(thm)],[33007])).
% 50.37/33.44 tff(33009,plain,
% 50.37/33.44 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB39, bitIndex1) | (~v254(constB39)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB39)) | v216(constB39, bitIndex1))),
% 50.37/33.44 inference(transitivity,[status(thm)],[33008, 33006])).
% 50.37/33.44 tff(33010,plain,
% 50.37/33.44 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB39, bitIndex1) | (~v254(constB39)))),
% 50.37/33.44 inference(quant_inst,[status(thm)],[])).
% 50.37/33.44 tff(33011,plain,
% 50.37/33.44 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB39)) | v216(constB39, bitIndex1)),
% 50.37/33.44 inference(modus_ponens,[status(thm)],[33010, 33009])).
% 50.37/33.44 tff(33012,plain,
% 50.37/33.44 (~v254(constB39)),
% 50.37/33.44 inference(unit_resolution,[status(thm)],[33011, 11357, 33005])).
% 50.37/33.44 tff(33013,plain,
% 50.37/33.44 (((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB39) | (~v221(constB39)))) <=> ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB39) | (~v221(constB39)))),
% 50.37/33.44 inference(rewrite,[status(thm)],[])).
% 50.37/33.44 tff(33014,plain,
% 50.37/33.44 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB39) | (~v221(constB39)))),
% 50.37/33.44 inference(quant_inst,[status(thm)],[])).
% 50.37/33.44 tff(33015,plain,
% 50.37/33.44 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB39) | (~v221(constB39))),
% 50.37/33.44 inference(modus_ponens,[status(thm)],[33014, 33013])).
% 50.37/33.44 tff(33016,plain,
% 50.37/33.44 (~v221(constB39)),
% 50.37/33.44 inference(unit_resolution,[status(thm)],[33015, 11505, 32958])).
% 50.37/33.44 tff(33017,plain,
% 50.37/33.44 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB39) | (~v231(constB39)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB39) | (~v231(constB39)))),
% 50.37/33.44 inference(rewrite,[status(thm)],[])).
% 50.37/33.44 tff(33018,plain,
% 50.37/33.44 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB39) | (~v231(constB39)))),
% 50.37/33.44 inference(quant_inst,[status(thm)],[])).
% 50.37/33.44 tff(33019,plain,
% 50.37/33.44 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB39) | (~v231(constB39))),
% 50.37/33.44 inference(modus_ponens,[status(thm)],[33018, 33017])).
% 50.37/33.44 tff(33020,plain,
% 50.37/33.44 (~v231(constB39)),
% 50.37/33.44 inference(unit_resolution,[status(thm)],[33019, 11162, 32989])).
% 50.37/33.44 tff(33021,plain,
% 50.37/33.44 (((~![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)))),
% 50.37/33.44 inference(rewrite,[status(thm)],[])).
% 50.37/33.44 tff(33022,plain,
% 50.37/33.44 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB39) | v231(constB39) | (~v243(constB39)))),
% 50.37/33.44 inference(quant_inst,[status(thm)],[])).
% 50.37/33.44 tff(33023,plain,
% 50.37/33.44 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB39) | v231(constB39) | (~v243(constB39))),
% 50.37/33.44 inference(modus_ponens,[status(thm)],[33022, 33021])).
% 50.37/33.44 tff(33024,plain,
% 50.37/33.44 (~v243(constB39)),
% 50.37/33.44 inference(unit_resolution,[status(thm)],[33023, 11206, 33020, 33016])).
% 50.37/33.44 tff(33025,plain,
% 50.37/33.44 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB39) | v255(constB39))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB39) | v255(constB39))),
% 50.37/33.44 inference(rewrite,[status(thm)],[])).
% 50.37/33.44 tff(33026,plain,
% 50.37/33.44 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB39) | v255(constB39))),
% 50.37/33.44 inference(quant_inst,[status(thm)],[])).
% 50.37/33.44 tff(33027,plain,
% 50.37/33.44 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB39) | v255(constB39)),
% 50.37/33.44 inference(modus_ponens,[status(thm)],[33026, 33025])).
% 50.37/33.44 tff(33028,plain,
% 50.37/33.44 (v255(constB39)),
% 50.37/33.44 inference(unit_resolution,[status(thm)],[33027, 11222, 33024])).
% 50.37/33.44 tff(33029,plain,
% 50.37/33.44 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB39)) | (~v216(constB39, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB39)) | (~v216(constB39, bitIndex2)))),
% 50.37/33.44 inference(rewrite,[status(thm)],[])).
% 50.37/33.44 tff(33030,plain,
% 50.37/33.44 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB39)) | (~v216(constB39, bitIndex2)))),
% 50.37/33.44 inference(quant_inst,[status(thm)],[])).
% 50.37/33.44 tff(33031,plain,
% 50.37/33.44 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB39)) | (~v216(constB39, bitIndex2))),
% 50.37/33.44 inference(modus_ponens,[status(thm)],[33030, 33029])).
% 50.37/33.44 tff(33032,plain,
% 50.37/33.44 (~v216(constB39, bitIndex2)),
% 50.37/33.44 inference(unit_resolution,[status(thm)],[33031, 11237, 33028])).
% 50.37/33.44 tff(33033,plain,
% 50.37/33.44 (((~![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)))) | v216(constB39, bitIndex2) | v254(constB39) | (~v215(constB39)))),
% 50.37/33.44 inference(rewrite,[status(thm)],[])).
% 50.37/33.44 tff(33034,plain,
% 50.37/33.44 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB39, bitIndex2) | v254(constB39) | (~v215(constB39)))),
% 50.37/33.44 inference(quant_inst,[status(thm)],[])).
% 50.37/33.44 tff(33035,plain,
% 50.37/33.44 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB39, bitIndex2) | v254(constB39) | (~v215(constB39))),
% 50.37/33.44 inference(modus_ponens,[status(thm)],[33034, 33033])).
% 50.37/33.44 tff(33036,plain,
% 50.37/33.44 (v254(constB39) | (~v215(constB39))),
% 50.37/33.44 inference(unit_resolution,[status(thm)],[33035, 11278, 33032])).
% 50.37/33.44 tff(33037,plain,
% 50.37/33.44 (~v215(constB39)),
% 50.37/33.44 inference(unit_resolution,[status(thm)],[33036, 33012])).
% 50.37/33.44 tff(33038,plain,
% 50.37/33.44 ($false),
% 50.37/33.44 inference(unit_resolution,[status(thm)],[33037, 32866])).
% 50.37/33.44 tff(33039,plain,(~(constB39 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.37/33.44 tff(33040,assumption,(constB45 = sK0_VarCurr), introduced(assumption)).
% 50.37/33.44 tff(33041,plain,
% 50.37/33.44 (v215(constB45) <=> v215(sK0_VarCurr)),
% 50.37/33.44 inference(monotonicity,[status(thm)],[33040])).
% 50.37/33.44 tff(33042,plain,
% 50.37/33.44 (v215(sK0_VarCurr) <=> v215(constB45)),
% 50.37/33.44 inference(symmetry,[status(thm)],[33041])).
% 50.37/33.44 tff(33043,plain,
% 50.37/33.44 (v215(constB45)),
% 50.37/33.44 inference(modus_ponens,[status(thm)],[11268, 33042])).
% 50.37/33.44 tff(33044,plain,
% 50.37/33.44 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB45, bitIndex0) | (~v88(constB45, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB45, bitIndex0) | (~v88(constB45, bitIndex0)))),
% 50.37/33.44 inference(rewrite,[status(thm)],[])).
% 50.37/33.44 tff(33045,plain,
% 50.37/33.44 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB45, bitIndex0) | (~v88(constB45, bitIndex0)))),
% 50.37/33.44 inference(quant_inst,[status(thm)],[])).
% 50.37/33.44 tff(33046,plain,
% 50.37/33.44 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB45, bitIndex0) | (~v88(constB45, bitIndex0))),
% 50.37/33.44 inference(modus_ponens,[status(thm)],[33045, 33044])).
% 50.37/33.44 tff(33047,plain,
% 50.37/33.44 (~v88(constB45, bitIndex0)),
% 50.37/33.44 inference(unit_resolution,[status(thm)],[33046, 10505, 7163])).
% 50.37/33.44 tff(33048,plain,
% 50.37/33.44 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB45, bitIndex2)) | v88(constB45, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB45, bitIndex2)) | v88(constB45, bitIndex2))),
% 50.37/33.44 inference(rewrite,[status(thm)],[])).
% 50.37/33.44 tff(33049,plain,
% 50.37/33.44 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB45, bitIndex2)) | v88(constB45, bitIndex2))),
% 50.37/33.44 inference(quant_inst,[status(thm)],[])).
% 50.37/33.44 tff(33050,plain,
% 50.37/33.44 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB45, bitIndex2)) | v88(constB45, bitIndex2)),
% 50.37/33.44 inference(modus_ponens,[status(thm)],[33049, 33048])).
% 50.37/33.44 tff(33051,plain,
% 50.37/33.44 (v88(constB45, bitIndex2)),
% 50.37/33.44 inference(unit_resolution,[status(thm)],[33050, 25107, 7060])).
% 50.37/33.44 tff(33052,plain,
% 50.37/33.44 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB45, bitIndex1)) | v88(constB45, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB45, bitIndex1)) | v88(constB45, bitIndex1))),
% 50.37/33.44 inference(rewrite,[status(thm)],[])).
% 50.37/33.44 tff(33053,plain,
% 50.37/33.44 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB45, bitIndex1)) | v88(constB45, bitIndex1))),
% 50.37/33.44 inference(quant_inst,[status(thm)],[])).
% 50.37/33.44 tff(33054,plain,
% 50.37/33.44 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB45, bitIndex1)) | v88(constB45, bitIndex1)),
% 50.37/33.44 inference(modus_ponens,[status(thm)],[33053, 33052])).
% 50.37/33.44 tff(33055,plain,
% 50.37/33.44 (v88(constB45, bitIndex1)),
% 50.37/33.44 inference(unit_resolution,[status(thm)],[33054, 8707, 7099])).
% 50.37/33.44 tff(33056,plain,
% 50.37/33.44 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB45, bitIndex0) | (~v88(constB45, bitIndex2)) | (~v88(constB45, bitIndex1)) | v144(constB45))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB45, bitIndex0) | (~v88(constB45, bitIndex2)) | (~v88(constB45, bitIndex1)) | v144(constB45))),
% 50.37/33.44 inference(rewrite,[status(thm)],[])).
% 50.37/33.44 tff(33057,plain,
% 50.37/33.44 (((~v88(constB45, bitIndex2)) | (~v88(constB45, bitIndex1)) | v88(constB45, bitIndex0) | v144(constB45)) <=> (v88(constB45, bitIndex0) | (~v88(constB45, bitIndex2)) | (~v88(constB45, bitIndex1)) | v144(constB45))),
% 50.37/33.44 inference(rewrite,[status(thm)],[])).
% 50.37/33.44 tff(33058,plain,
% 50.37/33.44 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB45, bitIndex2)) | (~v88(constB45, bitIndex1)) | v88(constB45, bitIndex0) | v144(constB45))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB45, bitIndex0) | (~v88(constB45, bitIndex2)) | (~v88(constB45, bitIndex1)) | v144(constB45)))),
% 50.37/33.44 inference(monotonicity,[status(thm)],[33057])).
% 50.37/33.44 tff(33059,plain,
% 50.37/33.44 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB45, bitIndex2)) | (~v88(constB45, bitIndex1)) | v88(constB45, bitIndex0) | v144(constB45))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB45, bitIndex0) | (~v88(constB45, bitIndex2)) | (~v88(constB45, bitIndex1)) | v144(constB45))),
% 50.37/33.44 inference(transitivity,[status(thm)],[33058, 33056])).
% 50.37/33.44 tff(33060,plain,
% 50.37/33.44 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB45, bitIndex2)) | (~v88(constB45, bitIndex1)) | v88(constB45, bitIndex0) | v144(constB45))),
% 50.37/33.44 inference(quant_inst,[status(thm)],[])).
% 50.37/33.44 tff(33061,plain,
% 50.37/33.44 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB45, bitIndex0) | (~v88(constB45, bitIndex2)) | (~v88(constB45, bitIndex1)) | v144(constB45)),
% 50.37/33.44 inference(modus_ponens,[status(thm)],[33060, 33059])).
% 50.37/33.44 tff(33062,plain,
% 50.37/33.44 (v144(constB45)),
% 50.37/33.44 inference(unit_resolution,[status(thm)],[33061, 25122, 33055, 33051, 33047])).
% 50.37/33.44 tff(33063,plain,
% 50.37/33.44 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB45) | (~v144(constB45)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB45) | (~v144(constB45)))),
% 50.37/33.44 inference(rewrite,[status(thm)],[])).
% 50.37/33.44 tff(33064,plain,
% 50.37/33.44 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB45) | (~v144(constB45)))),
% 50.37/33.44 inference(quant_inst,[status(thm)],[])).
% 50.37/33.44 tff(33065,plain,
% 50.37/33.44 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB45) | (~v144(constB45))),
% 50.37/33.44 inference(modus_ponens,[status(thm)],[33064, 33063])).
% 50.37/33.44 tff(33066,plain,
% 50.37/33.44 (v142(constB45)),
% 50.37/33.44 inference(unit_resolution,[status(thm)],[33065, 25139, 33062])).
% 50.37/33.44 tff(33067,plain,
% 50.37/33.44 (((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB45) | (~v142(constB45)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB45) | (~v142(constB45)))),
% 50.37/33.44 inference(rewrite,[status(thm)],[])).
% 50.37/33.44 tff(33068,plain,
% 50.37/33.44 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB45) | (~v142(constB45)))),
% 50.37/33.44 inference(quant_inst,[status(thm)],[])).
% 50.37/33.44 tff(33069,plain,
% 50.37/33.44 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB45) | (~v142(constB45))),
% 50.37/33.44 inference(modus_ponens,[status(thm)],[33068, 33067])).
% 50.37/33.44 tff(33070,plain,
% 50.37/33.44 (v198(constB45)),
% 50.37/33.44 inference(unit_resolution,[status(thm)],[33069, 10548, 33066])).
% 50.37/33.44 tff(33071,plain,
% 50.37/33.44 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB45)) | (~v201(constB45)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB45)) | (~v201(constB45)))),
% 50.37/33.44 inference(rewrite,[status(thm)],[])).
% 50.37/33.44 tff(33072,plain,
% 50.37/33.44 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB45)) | (~v201(constB45)))),
% 50.37/33.44 inference(quant_inst,[status(thm)],[])).
% 50.37/33.44 tff(33073,plain,
% 50.37/33.44 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB45)) | (~v201(constB45))),
% 50.37/33.44 inference(modus_ponens,[status(thm)],[33072, 33071])).
% 50.37/33.44 tff(33074,plain,
% 50.37/33.44 (~v201(constB45)),
% 50.37/33.44 inference(unit_resolution,[status(thm)],[33073, 8823, 33070])).
% 50.37/33.44 tff(33075,plain,
% 50.37/33.44 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB45) | (~v198(constB45)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB45) | (~v198(constB45)))),
% 50.37/33.44 inference(rewrite,[status(thm)],[])).
% 50.37/33.44 tff(33076,plain,
% 50.37/33.44 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB45) | (~v198(constB45)))),
% 50.37/33.44 inference(quant_inst,[status(thm)],[])).
% 50.37/33.44 tff(33077,plain,
% 50.37/33.44 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB45) | (~v198(constB45))),
% 50.37/33.44 inference(modus_ponens,[status(thm)],[33076, 33075])).
% 50.37/33.44 tff(33078,plain,
% 50.37/33.44 (v197(constB45)),
% 50.37/33.44 inference(unit_resolution,[status(thm)],[33077, 8834, 33070])).
% 50.37/33.44 tff(33079,plain,
% 50.37/33.44 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB45) | (~v197(constB45)) | v201(constB45))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB45) | (~v197(constB45)) | v201(constB45))),
% 50.37/33.44 inference(rewrite,[status(thm)],[])).
% 50.37/33.44 tff(33080,plain,
% 50.37/33.44 (((~v197(constB45)) | v201(constB45) | v227(constB45)) <=> (v227(constB45) | (~v197(constB45)) | v201(constB45))),
% 50.37/33.44 inference(rewrite,[status(thm)],[])).
% 50.37/33.44 tff(33081,plain,
% 50.37/33.44 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB45)) | v201(constB45) | v227(constB45))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB45) | (~v197(constB45)) | v201(constB45)))),
% 50.37/33.44 inference(monotonicity,[status(thm)],[33080])).
% 50.37/33.44 tff(33082,plain,
% 50.37/33.44 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB45)) | v201(constB45) | v227(constB45))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB45) | (~v197(constB45)) | v201(constB45))),
% 50.37/33.44 inference(transitivity,[status(thm)],[33081, 33079])).
% 50.37/33.44 tff(33083,plain,
% 50.37/33.44 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB45)) | v201(constB45) | v227(constB45))),
% 50.37/33.44 inference(quant_inst,[status(thm)],[])).
% 50.37/33.44 tff(33084,plain,
% 50.37/33.44 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB45) | (~v197(constB45)) | v201(constB45)),
% 50.37/33.44 inference(modus_ponens,[status(thm)],[33083, 33082])).
% 50.37/33.44 tff(33085,plain,
% 50.37/33.44 (v227(constB45)),
% 50.37/33.44 inference(unit_resolution,[status(thm)],[33084, 8848, 33078, 33074])).
% 50.37/33.44 tff(33086,plain,
% 50.37/33.44 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB45)) | (~v223(constB45, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB45)) | (~v223(constB45, bitIndex0)))),
% 50.37/33.44 inference(rewrite,[status(thm)],[])).
% 50.37/33.44 tff(33087,plain,
% 50.37/33.44 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB45)) | (~v223(constB45, bitIndex0)))),
% 50.37/33.44 inference(quant_inst,[status(thm)],[])).
% 50.37/33.44 tff(33088,plain,
% 50.37/33.44 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB45)) | (~v223(constB45, bitIndex0))),
% 50.37/33.44 inference(modus_ponens,[status(thm)],[33087, 33086])).
% 50.37/33.44 tff(33089,plain,
% 50.37/33.44 (~v223(constB45, bitIndex0)),
% 50.37/33.44 inference(unit_resolution,[status(thm)],[33088, 8862, 33085])).
% 50.37/33.44 tff(33090,plain,
% 50.37/33.44 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB45, bitIndex0) | (~v222(constB45)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | v223(constB45, bitIndex0) | (~v222(constB45)))),
% 50.37/33.44 inference(rewrite,[status(thm)],[])).
% 50.37/33.44 tff(33091,plain,
% 50.37/33.44 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB45, bitIndex0) | (~v222(constB45)))),
% 50.37/33.44 inference(quant_inst,[status(thm)],[])).
% 50.37/33.44 tff(33092,plain,
% 50.37/33.44 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | v223(constB45, bitIndex0) | (~v222(constB45))),
% 50.37/33.44 inference(modus_ponens,[status(thm)],[33091, 33090])).
% 50.37/33.44 tff(33093,plain,
% 50.37/33.44 (~v222(constB45)),
% 50.37/33.44 inference(unit_resolution,[status(thm)],[33092, 10578, 33089])).
% 50.37/33.44 tff(33094,plain,
% 50.37/33.44 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v139(constB45)) | (~v88(constB45, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB45)) | (~v88(constB45, bitIndex1)))),
% 50.37/33.44 inference(rewrite,[status(thm)],[])).
% 50.37/33.44 tff(33095,plain,
% 50.37/33.44 (((~v88(constB45, bitIndex1)) | (~v139(constB45))) <=> ((~v139(constB45)) | (~v88(constB45, bitIndex1)))),
% 50.37/33.44 inference(rewrite,[status(thm)],[])).
% 50.37/33.44 tff(33096,plain,
% 50.37/33.44 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB45, bitIndex1)) | (~v139(constB45)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v139(constB45)) | (~v88(constB45, bitIndex1))))),
% 50.37/33.44 inference(monotonicity,[status(thm)],[33095])).
% 50.37/33.44 tff(33097,plain,
% 50.37/33.44 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB45, bitIndex1)) | (~v139(constB45)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB45)) | (~v88(constB45, bitIndex1)))),
% 50.37/33.44 inference(transitivity,[status(thm)],[33096, 33094])).
% 50.37/33.44 tff(33098,plain,
% 50.37/33.44 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB45, bitIndex1)) | (~v139(constB45)))),
% 50.37/33.44 inference(quant_inst,[status(thm)],[])).
% 50.37/33.44 tff(33099,plain,
% 50.37/33.44 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB45)) | (~v88(constB45, bitIndex1))),
% 50.37/33.44 inference(modus_ponens,[status(thm)],[33098, 33097])).
% 50.37/33.44 tff(33100,plain,
% 50.37/33.44 (~v139(constB45)),
% 50.37/33.44 inference(unit_resolution,[status(thm)],[33099, 10589, 33055])).
% 50.37/33.44 tff(33101,plain,
% 50.37/33.44 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB45, bitIndex1)) | (~v140(constB45)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB45, bitIndex1)) | (~v140(constB45)))),
% 50.37/33.44 inference(rewrite,[status(thm)],[])).
% 50.37/33.44 tff(33102,plain,
% 50.37/33.44 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB45, bitIndex1)) | (~v140(constB45)))),
% 50.37/33.44 inference(quant_inst,[status(thm)],[])).
% 50.37/33.44 tff(33103,plain,
% 50.37/33.44 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB45, bitIndex1)) | (~v140(constB45))),
% 50.37/33.44 inference(modus_ponens,[status(thm)],[33102, 33101])).
% 50.37/33.44 tff(33104,plain,
% 50.37/33.44 (~v140(constB45)),
% 50.37/33.44 inference(unit_resolution,[status(thm)],[33103, 9002, 33055])).
% 50.37/33.44 tff(33105,plain,
% 50.37/33.44 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB45) | v139(constB45) | (~v200(constB45)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB45) | v139(constB45) | (~v200(constB45)))),
% 50.37/33.44 inference(rewrite,[status(thm)],[])).
% 50.37/33.44 tff(33106,plain,
% 50.37/33.44 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB45) | v139(constB45) | (~v200(constB45)))),
% 50.37/33.44 inference(quant_inst,[status(thm)],[])).
% 50.37/33.44 tff(33107,plain,
% 50.37/33.44 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB45) | v139(constB45) | (~v200(constB45))),
% 50.37/33.44 inference(modus_ponens,[status(thm)],[33106, 33105])).
% 50.37/33.44 tff(33108,plain,
% 50.37/33.44 (~v200(constB45)),
% 50.37/33.44 inference(unit_resolution,[status(thm)],[33107, 10610, 33104, 33100])).
% 50.37/33.44 tff(33109,plain,
% 50.37/33.44 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB45, bitIndex2)) | (~v141(constB45)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB45, bitIndex2)) | (~v141(constB45)))),
% 50.37/33.44 inference(rewrite,[status(thm)],[])).
% 50.37/33.44 tff(33110,plain,
% 50.37/33.44 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB45, bitIndex2)) | (~v141(constB45)))),
% 50.37/33.44 inference(quant_inst,[status(thm)],[])).
% 50.37/33.44 tff(33111,plain,
% 50.37/33.44 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB45, bitIndex2)) | (~v141(constB45))),
% 50.37/33.44 inference(modus_ponens,[status(thm)],[33110, 33109])).
% 50.37/33.44 tff(33112,plain,
% 50.37/33.44 (~v141(constB45)),
% 50.37/33.44 inference(unit_resolution,[status(thm)],[33111, 25200, 33051])).
% 50.37/33.44 tff(33113,plain,
% 50.37/33.44 (((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB45) | v200(constB45) | (~v166(constB45)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB45) | v200(constB45) | (~v166(constB45)))),
% 50.37/33.44 inference(rewrite,[status(thm)],[])).
% 50.37/33.44 tff(33114,plain,
% 50.37/33.44 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB45) | v200(constB45) | (~v166(constB45)))),
% 50.37/33.44 inference(quant_inst,[status(thm)],[])).
% 50.37/33.44 tff(33115,plain,
% 50.37/33.44 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB45) | v200(constB45) | (~v166(constB45))),
% 50.37/33.44 inference(modus_ponens,[status(thm)],[33114, 33113])).
% 50.37/33.44 tff(33116,plain,
% 50.37/33.44 (~v166(constB45)),
% 50.37/33.44 inference(unit_resolution,[status(thm)],[33115, 10638, 33112, 33108])).
% 50.37/33.44 tff(33117,plain,
% 50.37/33.44 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB45) | (~v197(constB45)) | v166(constB45))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB45) | (~v197(constB45)) | v166(constB45))),
% 50.37/33.44 inference(rewrite,[status(thm)],[])).
% 50.37/33.44 tff(33118,plain,
% 50.37/33.44 (((~v197(constB45)) | v166(constB45) | v241(constB45)) <=> (v241(constB45) | (~v197(constB45)) | v166(constB45))),
% 50.37/33.44 inference(rewrite,[status(thm)],[])).
% 50.37/33.44 tff(33119,plain,
% 50.37/33.44 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB45)) | v166(constB45) | v241(constB45))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB45) | (~v197(constB45)) | v166(constB45)))),
% 50.37/33.44 inference(monotonicity,[status(thm)],[33118])).
% 50.37/33.44 tff(33120,plain,
% 50.37/33.44 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB45)) | v166(constB45) | v241(constB45))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB45) | (~v197(constB45)) | v166(constB45))),
% 50.37/33.44 inference(transitivity,[status(thm)],[33119, 33117])).
% 50.37/33.44 tff(33121,plain,
% 50.37/33.44 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB45)) | v166(constB45) | v241(constB45))),
% 50.37/33.44 inference(quant_inst,[status(thm)],[])).
% 50.37/33.44 tff(33122,plain,
% 50.37/33.44 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB45) | (~v197(constB45)) | v166(constB45)),
% 50.37/33.44 inference(modus_ponens,[status(thm)],[33121, 33120])).
% 50.37/33.44 tff(33123,plain,
% 50.37/33.44 (v241(constB45) | (~v197(constB45))),
% 50.37/33.44 inference(unit_resolution,[status(thm)],[33122, 10277, 33116])).
% 50.37/33.44 tff(33124,plain,
% 50.37/33.44 (v241(constB45)),
% 50.37/33.44 inference(unit_resolution,[status(thm)],[33123, 33078])).
% 50.37/33.44 tff(33125,plain,
% 50.37/33.44 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB45)) | (~v223(constB45, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB45)) | (~v223(constB45, bitIndex2)))),
% 50.37/33.44 inference(rewrite,[status(thm)],[])).
% 50.37/33.44 tff(33126,plain,
% 50.37/33.44 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB45)) | (~v223(constB45, bitIndex2)))),
% 50.37/33.44 inference(quant_inst,[status(thm)],[])).
% 50.37/33.44 tff(33127,plain,
% 50.37/33.44 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB45)) | (~v223(constB45, bitIndex2))),
% 50.37/33.44 inference(modus_ponens,[status(thm)],[33126, 33125])).
% 50.37/33.44 tff(33128,plain,
% 50.37/33.44 (~v223(constB45, bitIndex2)),
% 50.37/33.44 inference(unit_resolution,[status(thm)],[33127, 10292, 33124])).
% 50.37/33.44 tff(33129,plain,
% 50.37/33.44 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB45)) | v223(constB45, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB45)) | v223(constB45, bitIndex2))),
% 50.37/33.44 inference(rewrite,[status(thm)],[])).
% 50.37/33.44 tff(33130,plain,
% 50.37/33.44 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB45)) | v223(constB45, bitIndex2))),
% 50.37/33.44 inference(quant_inst,[status(thm)],[])).
% 50.37/33.44 tff(33131,plain,
% 50.37/33.44 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB45)) | v223(constB45, bitIndex2)),
% 50.37/33.44 inference(modus_ponens,[status(thm)],[33130, 33129])).
% 50.37/33.44 tff(33132,plain,
% 50.37/33.44 (~v224(constB45)),
% 50.37/33.44 inference(unit_resolution,[status(thm)],[33131, 10343, 33128])).
% 50.37/33.44 tff(33133,plain,
% 50.37/33.44 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB45) | v224(constB45) | (~v236(constB45)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB45) | v224(constB45) | (~v236(constB45)))),
% 50.37/33.44 inference(rewrite,[status(thm)],[])).
% 50.37/33.44 tff(33134,plain,
% 50.37/33.44 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB45) | v224(constB45) | (~v236(constB45)))),
% 50.37/33.44 inference(quant_inst,[status(thm)],[])).
% 50.37/33.44 tff(33135,plain,
% 50.37/33.44 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB45) | v224(constB45) | (~v236(constB45))),
% 50.37/33.44 inference(modus_ponens,[status(thm)],[33134, 33133])).
% 50.37/33.44 tff(33136,plain,
% 50.37/33.44 (~v236(constB45)),
% 50.37/33.44 inference(unit_resolution,[status(thm)],[33135, 8968, 33132, 33093])).
% 50.37/33.44 tff(33137,plain,
% 50.37/33.44 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB45) | (~v232(constB45)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB45) | (~v232(constB45)))),
% 50.37/33.44 inference(rewrite,[status(thm)],[])).
% 50.37/33.44 tff(33138,plain,
% 50.37/33.44 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB45) | (~v232(constB45)))),
% 50.37/33.44 inference(quant_inst,[status(thm)],[])).
% 50.37/33.44 tff(33139,plain,
% 50.37/33.44 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB45) | (~v232(constB45))),
% 50.37/33.44 inference(modus_ponens,[status(thm)],[33138, 33137])).
% 50.37/33.44 tff(33140,plain,
% 50.37/33.44 (~v232(constB45)),
% 50.37/33.44 inference(unit_resolution,[status(thm)],[33139, 8980, 33136])).
% 50.37/33.44 tff(33141,plain,
% 50.37/33.44 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB45) | v139(constB45) | (~v148(constB45)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB45) | v139(constB45) | (~v148(constB45)))),
% 50.37/33.44 inference(rewrite,[status(thm)],[])).
% 50.37/33.44 tff(33142,plain,
% 50.37/33.44 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB45) | v139(constB45) | (~v148(constB45)))),
% 50.37/33.44 inference(quant_inst,[status(thm)],[])).
% 50.37/33.44 tff(33143,plain,
% 50.37/33.44 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB45) | v139(constB45) | (~v148(constB45))),
% 50.37/33.44 inference(modus_ponens,[status(thm)],[33142, 33141])).
% 50.37/33.44 tff(33144,plain,
% 50.37/33.44 (~v148(constB45)),
% 50.37/33.44 inference(unit_resolution,[status(thm)],[33143, 9016, 33104, 33100])).
% 50.37/33.44 tff(33145,plain,
% 50.37/33.44 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB45) | (~v197(constB45)) | v148(constB45))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB45) | (~v197(constB45)) | v148(constB45))),
% 50.37/33.44 inference(rewrite,[status(thm)],[])).
% 50.37/33.44 tff(33146,plain,
% 50.37/33.44 ((v148(constB45) | (~v197(constB45)) | v252(constB45)) <=> (v252(constB45) | (~v197(constB45)) | v148(constB45))),
% 50.37/33.44 inference(rewrite,[status(thm)],[])).
% 50.37/33.44 tff(33147,plain,
% 50.37/33.44 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB45) | (~v197(constB45)) | v252(constB45))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB45) | (~v197(constB45)) | v148(constB45)))),
% 50.37/33.44 inference(monotonicity,[status(thm)],[33146])).
% 50.37/33.44 tff(33148,plain,
% 50.37/33.44 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB45) | (~v197(constB45)) | v252(constB45))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB45) | (~v197(constB45)) | v148(constB45))),
% 50.37/33.44 inference(transitivity,[status(thm)],[33147, 33145])).
% 50.37/33.44 tff(33149,plain,
% 50.37/33.44 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB45) | (~v197(constB45)) | v252(constB45))),
% 50.37/33.44 inference(quant_inst,[status(thm)],[])).
% 50.37/33.44 tff(33150,plain,
% 50.37/33.44 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB45) | (~v197(constB45)) | v148(constB45)),
% 50.37/33.44 inference(modus_ponens,[status(thm)],[33149, 33148])).
% 50.37/33.44 tff(33151,plain,
% 50.37/33.44 (v252(constB45) | (~v197(constB45))),
% 50.37/33.44 inference(unit_resolution,[status(thm)],[33150, 9033, 33144])).
% 50.37/33.44 tff(33152,plain,
% 50.37/33.44 (v252(constB45)),
% 50.37/33.44 inference(unit_resolution,[status(thm)],[33151, 33078])).
% 50.37/33.44 tff(33153,plain,
% 50.37/33.44 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB45)) | (~v223(constB45, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB45)) | (~v223(constB45, bitIndex3)))),
% 50.37/33.44 inference(rewrite,[status(thm)],[])).
% 50.37/33.44 tff(33154,plain,
% 50.37/33.44 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB45)) | (~v223(constB45, bitIndex3)))),
% 50.37/33.44 inference(quant_inst,[status(thm)],[])).
% 50.37/33.44 tff(33155,plain,
% 50.37/33.44 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB45)) | (~v223(constB45, bitIndex3))),
% 50.37/33.44 inference(modus_ponens,[status(thm)],[33154, 33153])).
% 50.37/33.44 tff(33156,plain,
% 50.37/33.45 (~v223(constB45, bitIndex3)),
% 50.37/33.45 inference(unit_resolution,[status(thm)],[33155, 9048, 33152])).
% 50.37/33.45 tff(33157,plain,
% 50.37/33.45 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB45)) | v223(constB45, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB45)) | v223(constB45, bitIndex3))),
% 50.37/33.45 inference(rewrite,[status(thm)],[])).
% 50.37/33.45 tff(33158,plain,
% 50.37/33.45 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB45)) | v223(constB45, bitIndex3))),
% 50.37/33.45 inference(quant_inst,[status(thm)],[])).
% 50.37/33.45 tff(33159,plain,
% 50.37/33.45 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB45)) | v223(constB45, bitIndex3)),
% 50.37/33.45 inference(modus_ponens,[status(thm)],[33158, 33157])).
% 50.37/33.45 tff(33160,plain,
% 50.37/33.45 (~v237(constB45)),
% 50.37/33.45 inference(unit_resolution,[status(thm)],[33159, 9062, 33156])).
% 50.37/33.45 tff(33161,plain,
% 50.37/33.45 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB45) | (~v248(constB45)) | v232(constB45))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB45) | (~v248(constB45)) | v232(constB45))),
% 50.37/33.45 inference(rewrite,[status(thm)],[])).
% 50.37/33.45 tff(33162,plain,
% 50.37/33.45 ((v237(constB45) | v232(constB45) | (~v248(constB45))) <=> (v237(constB45) | (~v248(constB45)) | v232(constB45))),
% 50.37/33.45 inference(rewrite,[status(thm)],[])).
% 50.37/33.45 tff(33163,plain,
% 50.37/33.45 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB45) | v232(constB45) | (~v248(constB45)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB45) | (~v248(constB45)) | v232(constB45)))),
% 50.37/33.45 inference(monotonicity,[status(thm)],[33162])).
% 50.37/33.45 tff(33164,plain,
% 50.37/33.45 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB45) | v232(constB45) | (~v248(constB45)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB45) | (~v248(constB45)) | v232(constB45))),
% 50.37/33.45 inference(transitivity,[status(thm)],[33163, 33161])).
% 50.37/33.45 tff(33165,plain,
% 50.37/33.45 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB45) | v232(constB45) | (~v248(constB45)))),
% 50.37/33.45 inference(quant_inst,[status(thm)],[])).
% 50.37/33.45 tff(33166,plain,
% 50.37/33.45 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB45) | (~v248(constB45)) | v232(constB45)),
% 50.37/33.45 inference(modus_ponens,[status(thm)],[33165, 33164])).
% 50.37/33.45 tff(33167,plain,
% 50.37/33.45 ((~v248(constB45)) | v232(constB45)),
% 50.37/33.45 inference(unit_resolution,[status(thm)],[33166, 9076, 33160])).
% 50.37/33.45 tff(33168,plain,
% 50.37/33.45 (~v248(constB45)),
% 50.37/33.45 inference(unit_resolution,[status(thm)],[33167, 33140])).
% 50.37/33.45 tff(33169,plain,
% 50.37/33.45 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB45) | (~v244(constB45)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB45) | (~v244(constB45)))),
% 50.37/33.45 inference(rewrite,[status(thm)],[])).
% 50.37/33.45 tff(33170,plain,
% 50.37/33.45 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB45) | (~v244(constB45)))),
% 50.37/33.45 inference(quant_inst,[status(thm)],[])).
% 50.37/33.45 tff(33171,plain,
% 50.37/33.45 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB45) | (~v244(constB45))),
% 50.37/33.45 inference(modus_ponens,[status(thm)],[33170, 33169])).
% 50.37/33.45 tff(33172,plain,
% 50.37/33.45 (~v244(constB45)),
% 50.37/33.45 inference(unit_resolution,[status(thm)],[33171, 11335, 33168])).
% 50.37/33.45 tff(33173,plain,
% 50.37/33.45 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB45) | (~v216(constB45, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB45) | (~v216(constB45, bitIndex1)))),
% 50.37/33.45 inference(rewrite,[status(thm)],[])).
% 50.37/33.45 tff(33174,plain,
% 50.37/33.45 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB45) | (~v216(constB45, bitIndex1)))),
% 50.37/33.45 inference(quant_inst,[status(thm)],[])).
% 50.37/33.45 tff(33175,plain,
% 50.37/33.45 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB45) | (~v216(constB45, bitIndex1))),
% 50.37/33.45 inference(modus_ponens,[status(thm)],[33174, 33173])).
% 50.37/33.45 tff(33176,plain,
% 50.37/33.45 (~v216(constB45, bitIndex1)),
% 50.37/33.45 inference(unit_resolution,[status(thm)],[33175, 11346, 33172])).
% 50.37/33.45 tff(33177,plain,
% 50.37/33.45 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB45, bitIndex1) | (~v254(constB45)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB45, bitIndex1) | (~v254(constB45)))),
% 50.37/33.45 inference(rewrite,[status(thm)],[])).
% 50.37/33.45 tff(33178,plain,
% 50.37/33.45 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB45, bitIndex1) | (~v254(constB45)))),
% 50.37/33.45 inference(quant_inst,[status(thm)],[])).
% 50.37/33.45 tff(33179,plain,
% 50.37/33.45 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB45, bitIndex1) | (~v254(constB45))),
% 50.37/33.45 inference(modus_ponens,[status(thm)],[33178, 33177])).
% 50.37/33.45 tff(33180,plain,
% 50.37/33.45 (~v254(constB45)),
% 50.37/33.45 inference(unit_resolution,[status(thm)],[33179, 11357, 33176])).
% 50.37/33.45 tff(33181,plain,
% 50.37/33.45 (((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB45) | (~v221(constB45)))) <=> ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB45) | (~v221(constB45)))),
% 50.37/33.45 inference(rewrite,[status(thm)],[])).
% 50.37/33.45 tff(33182,plain,
% 50.37/33.45 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB45) | (~v221(constB45)))),
% 50.37/33.45 inference(quant_inst,[status(thm)],[])).
% 50.37/33.45 tff(33183,plain,
% 50.37/33.45 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB45) | (~v221(constB45))),
% 50.37/33.45 inference(modus_ponens,[status(thm)],[33182, 33181])).
% 50.37/33.45 tff(33184,plain,
% 50.37/33.45 (~v221(constB45)),
% 50.37/33.45 inference(unit_resolution,[status(thm)],[33183, 11505, 33132])).
% 50.37/33.45 tff(33185,plain,
% 50.37/33.45 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB45) | (~v231(constB45)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB45) | (~v231(constB45)))),
% 50.37/33.45 inference(rewrite,[status(thm)],[])).
% 50.37/33.45 tff(33186,plain,
% 50.37/33.45 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB45) | (~v231(constB45)))),
% 50.37/33.45 inference(quant_inst,[status(thm)],[])).
% 50.37/33.45 tff(33187,plain,
% 50.37/33.45 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB45) | (~v231(constB45))),
% 50.37/33.45 inference(modus_ponens,[status(thm)],[33186, 33185])).
% 50.37/33.45 tff(33188,plain,
% 50.37/33.45 (~v231(constB45)),
% 50.37/33.45 inference(unit_resolution,[status(thm)],[33187, 11162, 33160])).
% 50.37/33.45 tff(33189,plain,
% 50.37/33.45 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB45) | v231(constB45) | (~v243(constB45)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB45) | v231(constB45) | (~v243(constB45)))),
% 50.37/33.45 inference(rewrite,[status(thm)],[])).
% 50.37/33.45 tff(33190,plain,
% 50.37/33.45 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB45) | v231(constB45) | (~v243(constB45)))),
% 50.37/33.45 inference(quant_inst,[status(thm)],[])).
% 50.37/33.45 tff(33191,plain,
% 50.37/33.45 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB45) | v231(constB45) | (~v243(constB45))),
% 50.37/33.45 inference(modus_ponens,[status(thm)],[33190, 33189])).
% 50.37/33.45 tff(33192,plain,
% 50.37/33.45 (~v243(constB45)),
% 50.37/33.45 inference(unit_resolution,[status(thm)],[33191, 11206, 33188, 33184])).
% 50.37/33.45 tff(33193,plain,
% 50.37/33.45 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB45) | v255(constB45))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB45) | v255(constB45))),
% 50.37/33.45 inference(rewrite,[status(thm)],[])).
% 50.37/33.45 tff(33194,plain,
% 50.37/33.45 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB45) | v255(constB45))),
% 50.37/33.45 inference(quant_inst,[status(thm)],[])).
% 50.37/33.45 tff(33195,plain,
% 50.37/33.45 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB45) | v255(constB45)),
% 50.37/33.45 inference(modus_ponens,[status(thm)],[33194, 33193])).
% 50.37/33.45 tff(33196,plain,
% 50.37/33.45 (v255(constB45)),
% 50.37/33.45 inference(unit_resolution,[status(thm)],[33195, 11222, 33192])).
% 50.37/33.45 tff(33197,plain,
% 50.37/33.45 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB45)) | (~v216(constB45, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB45)) | (~v216(constB45, bitIndex2)))),
% 50.37/33.45 inference(rewrite,[status(thm)],[])).
% 50.37/33.45 tff(33198,plain,
% 50.37/33.45 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB45)) | (~v216(constB45, bitIndex2)))),
% 50.37/33.45 inference(quant_inst,[status(thm)],[])).
% 50.37/33.45 tff(33199,plain,
% 50.37/33.45 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB45)) | (~v216(constB45, bitIndex2))),
% 50.37/33.45 inference(modus_ponens,[status(thm)],[33198, 33197])).
% 50.37/33.45 tff(33200,plain,
% 50.37/33.45 (~v216(constB45, bitIndex2)),
% 50.37/33.45 inference(unit_resolution,[status(thm)],[33199, 11237, 33196])).
% 50.37/33.45 tff(33201,plain,
% 50.37/33.45 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB45, bitIndex2) | (~v215(constB45)) | v254(constB45))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB45, bitIndex2) | (~v215(constB45)) | v254(constB45))),
% 50.37/33.45 inference(rewrite,[status(thm)],[])).
% 50.37/33.45 tff(33202,plain,
% 50.37/33.45 ((v216(constB45, bitIndex2) | v254(constB45) | (~v215(constB45))) <=> (v216(constB45, bitIndex2) | (~v215(constB45)) | v254(constB45))),
% 50.37/33.45 inference(rewrite,[status(thm)],[])).
% 50.37/33.45 tff(33203,plain,
% 50.37/33.45 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB45, bitIndex2) | v254(constB45) | (~v215(constB45)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB45, bitIndex2) | (~v215(constB45)) | v254(constB45)))),
% 50.37/33.45 inference(monotonicity,[status(thm)],[33202])).
% 50.37/33.45 tff(33204,plain,
% 50.37/33.45 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB45, bitIndex2) | v254(constB45) | (~v215(constB45)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB45, bitIndex2) | (~v215(constB45)) | v254(constB45))),
% 50.37/33.45 inference(transitivity,[status(thm)],[33203, 33201])).
% 50.37/33.45 tff(33205,plain,
% 50.37/33.45 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB45, bitIndex2) | v254(constB45) | (~v215(constB45)))),
% 50.37/33.45 inference(quant_inst,[status(thm)],[])).
% 50.37/33.45 tff(33206,plain,
% 50.37/33.45 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB45, bitIndex2) | (~v215(constB45)) | v254(constB45)),
% 50.37/33.45 inference(modus_ponens,[status(thm)],[33205, 33204])).
% 50.37/33.45 tff(33207,plain,
% 50.37/33.45 ((~v215(constB45)) | v254(constB45)),
% 50.37/33.45 inference(unit_resolution,[status(thm)],[33206, 11278, 33200])).
% 50.37/33.45 tff(33208,plain,
% 50.37/33.45 (~v215(constB45)),
% 50.37/33.45 inference(unit_resolution,[status(thm)],[33207, 33180])).
% 50.37/33.45 tff(33209,plain,
% 50.37/33.45 ($false),
% 50.37/33.45 inference(unit_resolution,[status(thm)],[33208, 33043])).
% 50.37/33.45 tff(33210,plain,(~(constB45 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.37/33.45 tff(33211,assumption,(constB87 = sK0_VarCurr), introduced(assumption)).
% 50.37/33.45 tff(33212,plain,
% 50.37/33.45 (v215(constB87) <=> v215(sK0_VarCurr)),
% 50.37/33.45 inference(monotonicity,[status(thm)],[33211])).
% 50.37/33.45 tff(33213,plain,
% 50.37/33.45 (v215(sK0_VarCurr) <=> v215(constB87)),
% 50.37/33.45 inference(symmetry,[status(thm)],[33212])).
% 50.37/33.45 tff(33214,plain,
% 50.37/33.45 (v215(constB87)),
% 50.37/33.45 inference(modus_ponens,[status(thm)],[11268, 33213])).
% 50.37/33.45 tff(33215,plain,
% 50.37/33.45 (((~![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)))),
% 50.37/33.45 inference(rewrite,[status(thm)],[])).
% 50.37/33.45 tff(33216,plain,
% 50.37/33.45 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB87, bitIndex1) | (~v88(constB87, bitIndex1)))),
% 50.37/33.45 inference(quant_inst,[status(thm)],[])).
% 50.37/33.45 tff(33217,plain,
% 50.37/33.45 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB87, bitIndex1) | (~v88(constB87, bitIndex1))),
% 50.37/33.45 inference(modus_ponens,[status(thm)],[33216, 33215])).
% 50.37/33.45 tff(33218,plain,
% 50.37/33.45 (~v88(constB87, bitIndex1)),
% 50.37/33.45 inference(unit_resolution,[status(thm)],[33217, 10126, 13230])).
% 50.37/33.45 tff(33219,plain,
% 50.37/33.45 (((~![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)))),
% 50.37/33.45 inference(rewrite,[status(thm)],[])).
% 50.37/33.45 tff(33220,plain,
% 50.37/33.45 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB87, bitIndex2) | (~v88(constB87, bitIndex2)))),
% 50.37/33.45 inference(quant_inst,[status(thm)],[])).
% 50.37/33.45 tff(33221,plain,
% 50.37/33.45 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB87, bitIndex2) | (~v88(constB87, bitIndex2))),
% 50.37/33.45 inference(modus_ponens,[status(thm)],[33220, 33219])).
% 50.37/33.45 tff(33222,plain,
% 50.37/33.45 (~v88(constB87, bitIndex2)),
% 50.37/33.45 inference(unit_resolution,[status(thm)],[33221, 8769, 13193])).
% 50.37/33.45 tff(33223,plain,
% 50.37/33.45 (((~![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))),
% 50.37/33.45 inference(rewrite,[status(thm)],[])).
% 50.37/33.45 tff(33224,plain,
% 50.37/33.45 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB87, bitIndex0)) | v88(constB87, bitIndex0))),
% 50.37/33.45 inference(quant_inst,[status(thm)],[])).
% 50.37/33.45 tff(33225,plain,
% 50.37/33.45 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB87, bitIndex0)) | v88(constB87, bitIndex0)),
% 50.37/33.45 inference(modus_ponens,[status(thm)],[33224, 33223])).
% 50.37/33.45 tff(33226,plain,
% 50.37/33.45 (v88(constB87, bitIndex0)),
% 50.37/33.45 inference(unit_resolution,[status(thm)],[33225, 8662, 13264])).
% 50.37/33.45 tff(33227,plain,
% 50.37/33.45 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | ((~v88(constB87, bitIndex0)) | v88(constB87, bitIndex2) | v88(constB87, bitIndex1) | v140(constB87))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB87, bitIndex0)) | v88(constB87, bitIndex2) | v88(constB87, bitIndex1) | v140(constB87))),
% 50.37/33.45 inference(rewrite,[status(thm)],[])).
% 50.37/33.45 tff(33228,plain,
% 50.37/33.45 ((v88(constB87, bitIndex2) | v88(constB87, bitIndex1) | (~v88(constB87, bitIndex0)) | v140(constB87)) <=> ((~v88(constB87, bitIndex0)) | v88(constB87, bitIndex2) | v88(constB87, bitIndex1) | v140(constB87))),
% 50.37/33.45 inference(rewrite,[status(thm)],[])).
% 50.37/33.45 tff(33229,plain,
% 50.37/33.45 (((~![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, bitIndex0)) | v88(constB87, bitIndex2) | v88(constB87, bitIndex1) | v140(constB87)))),
% 50.37/33.45 inference(monotonicity,[status(thm)],[33228])).
% 50.37/33.45 tff(33230,plain,
% 50.37/33.45 (((~![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, bitIndex0)) | v88(constB87, bitIndex2) | v88(constB87, bitIndex1) | v140(constB87))),
% 50.37/33.45 inference(transitivity,[status(thm)],[33229, 33227])).
% 50.37/33.45 tff(33231,plain,
% 50.37/33.45 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB87, bitIndex2) | v88(constB87, bitIndex1) | (~v88(constB87, bitIndex0)) | v140(constB87))),
% 50.37/33.45 inference(quant_inst,[status(thm)],[])).
% 50.37/33.45 tff(33232,plain,
% 50.37/33.45 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB87, bitIndex0)) | v88(constB87, bitIndex2) | v88(constB87, bitIndex1) | v140(constB87)),
% 50.37/33.45 inference(modus_ponens,[status(thm)],[33231, 33230])).
% 50.37/33.45 tff(33233,plain,
% 50.37/33.45 (v140(constB87)),
% 50.37/33.45 inference(unit_resolution,[status(thm)],[33232, 10178, 33226, 33222, 33218])).
% 50.37/33.45 tff(33234,plain,
% 50.37/33.45 (((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB87) | (~v140(constB87)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB87) | (~v140(constB87)))),
% 50.37/33.45 inference(rewrite,[status(thm)],[])).
% 50.37/33.45 tff(33235,plain,
% 50.37/33.45 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB87) | (~v140(constB87)))),
% 50.37/33.45 inference(quant_inst,[status(thm)],[])).
% 50.37/33.45 tff(33236,plain,
% 50.37/33.45 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB87) | (~v140(constB87))),
% 50.37/33.45 inference(modus_ponens,[status(thm)],[33235, 33234])).
% 50.37/33.45 tff(33237,plain,
% 50.37/33.45 (v200(constB87)),
% 50.37/33.45 inference(unit_resolution,[status(thm)],[33236, 10192, 33233])).
% 50.37/33.45 tff(33238,plain,
% 50.37/33.45 (((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB87) | (~v200(constB87)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB87) | (~v200(constB87)))),
% 50.37/33.45 inference(rewrite,[status(thm)],[])).
% 50.37/33.45 tff(33239,plain,
% 50.37/33.45 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB87) | (~v200(constB87)))),
% 50.37/33.45 inference(quant_inst,[status(thm)],[])).
% 50.37/33.45 tff(33240,plain,
% 50.37/33.45 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB87) | (~v200(constB87))),
% 50.37/33.45 inference(modus_ponens,[status(thm)],[33239, 33238])).
% 50.37/33.45 tff(33241,plain,
% 50.37/33.45 (v199(constB87)),
% 50.37/33.45 inference(unit_resolution,[status(thm)],[33240, 10203, 33237])).
% 50.37/33.45 tff(33242,plain,
% 50.37/33.45 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB87) | (~v199(constB87)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB87) | (~v199(constB87)))),
% 50.37/33.45 inference(rewrite,[status(thm)],[])).
% 50.37/33.45 tff(33243,plain,
% 50.37/33.45 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB87) | (~v199(constB87)))),
% 50.37/33.45 inference(quant_inst,[status(thm)],[])).
% 50.37/33.45 tff(33244,plain,
% 50.37/33.45 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB87) | (~v199(constB87))),
% 50.37/33.45 inference(modus_ponens,[status(thm)],[33243, 33242])).
% 50.37/33.45 tff(33245,plain,
% 50.37/33.45 (v198(constB87)),
% 50.37/33.45 inference(unit_resolution,[status(thm)],[33244, 8809, 33241])).
% 50.37/33.45 tff(33246,plain,
% 50.37/33.45 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB87)) | (~v201(constB87)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB87)) | (~v201(constB87)))),
% 50.37/33.45 inference(rewrite,[status(thm)],[])).
% 50.37/33.45 tff(33247,plain,
% 50.37/33.45 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB87)) | (~v201(constB87)))),
% 50.37/33.45 inference(quant_inst,[status(thm)],[])).
% 50.37/33.45 tff(33248,plain,
% 50.37/33.45 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB87)) | (~v201(constB87))),
% 50.37/33.45 inference(modus_ponens,[status(thm)],[33247, 33246])).
% 50.37/33.45 tff(33249,plain,
% 50.37/33.45 (~v201(constB87)),
% 50.37/33.45 inference(unit_resolution,[status(thm)],[33248, 8823, 33245])).
% 50.37/33.45 tff(33250,plain,
% 50.37/33.45 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB87) | (~v198(constB87)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB87) | (~v198(constB87)))),
% 50.37/33.45 inference(rewrite,[status(thm)],[])).
% 50.37/33.45 tff(33251,plain,
% 50.37/33.45 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB87) | (~v198(constB87)))),
% 50.37/33.45 inference(quant_inst,[status(thm)],[])).
% 50.37/33.45 tff(33252,plain,
% 50.37/33.45 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB87) | (~v198(constB87))),
% 50.37/33.45 inference(modus_ponens,[status(thm)],[33251, 33250])).
% 50.37/33.45 tff(33253,plain,
% 50.37/33.45 (v197(constB87)),
% 50.37/33.45 inference(unit_resolution,[status(thm)],[33252, 8834, 33245])).
% 50.37/33.45 tff(33254,plain,
% 50.37/33.45 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB87) | v201(constB87) | (~v197(constB87)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB87) | v201(constB87) | (~v197(constB87)))),
% 50.37/33.45 inference(rewrite,[status(thm)],[])).
% 50.37/33.45 tff(33255,plain,
% 50.37/33.45 (((~v197(constB87)) | v201(constB87) | v227(constB87)) <=> (v227(constB87) | v201(constB87) | (~v197(constB87)))),
% 50.37/33.45 inference(rewrite,[status(thm)],[])).
% 50.37/33.45 tff(33256,plain,
% 50.37/33.45 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB87)) | v201(constB87) | v227(constB87))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB87) | v201(constB87) | (~v197(constB87))))),
% 50.37/33.45 inference(monotonicity,[status(thm)],[33255])).
% 50.37/33.45 tff(33257,plain,
% 50.37/33.45 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB87)) | v201(constB87) | v227(constB87))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB87) | v201(constB87) | (~v197(constB87)))),
% 50.37/33.45 inference(transitivity,[status(thm)],[33256, 33254])).
% 50.37/33.45 tff(33258,plain,
% 50.37/33.45 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB87)) | v201(constB87) | v227(constB87))),
% 50.37/33.45 inference(quant_inst,[status(thm)],[])).
% 50.37/33.45 tff(33259,plain,
% 50.37/33.45 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB87) | v201(constB87) | (~v197(constB87))),
% 50.37/33.45 inference(modus_ponens,[status(thm)],[33258, 33257])).
% 50.37/33.45 tff(33260,plain,
% 50.37/33.45 (v227(constB87)),
% 50.37/33.45 inference(unit_resolution,[status(thm)],[33259, 8848, 33253, 33249])).
% 50.37/33.45 tff(33261,plain,
% 50.37/33.45 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB87)) | (~v223(constB87, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB87)) | (~v223(constB87, bitIndex0)))),
% 50.37/33.45 inference(rewrite,[status(thm)],[])).
% 50.37/33.45 tff(33262,plain,
% 50.37/33.45 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB87)) | (~v223(constB87, bitIndex0)))),
% 50.37/33.45 inference(quant_inst,[status(thm)],[])).
% 50.37/33.45 tff(33263,plain,
% 50.37/33.45 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB87)) | (~v223(constB87, bitIndex0))),
% 50.37/33.45 inference(modus_ponens,[status(thm)],[33262, 33261])).
% 50.37/33.45 tff(33264,plain,
% 50.37/33.45 (~v223(constB87, bitIndex0)),
% 50.37/33.45 inference(unit_resolution,[status(thm)],[33263, 8862, 33260])).
% 50.37/33.45 tff(33265,plain,
% 50.37/33.45 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB87)) | (~v199(constB87)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB87)) | (~v199(constB87)))),
% 50.37/33.45 inference(rewrite,[status(thm)],[])).
% 50.37/33.45 tff(33266,plain,
% 50.37/33.45 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB87)) | (~v199(constB87)))),
% 50.37/33.45 inference(quant_inst,[status(thm)],[])).
% 50.37/33.45 tff(33267,plain,
% 50.37/33.45 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB87)) | (~v199(constB87))),
% 50.37/33.45 inference(modus_ponens,[status(thm)],[33266, 33265])).
% 50.37/33.45 tff(33268,plain,
% 50.37/33.45 (~v183(constB87)),
% 50.37/33.45 inference(unit_resolution,[status(thm)],[33267, 8873, 33241])).
% 50.37/33.45 tff(33269,plain,
% 50.37/33.45 (((~![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))),
% 50.37/33.45 inference(rewrite,[status(thm)],[])).
% 50.37/33.45 tff(33270,plain,
% 50.37/33.45 (((~v197(constB87)) | v183(constB87) | v228(constB87)) <=> (v228(constB87) | (~v197(constB87)) | v183(constB87))),
% 50.37/33.45 inference(rewrite,[status(thm)],[])).
% 50.37/33.45 tff(33271,plain,
% 50.37/33.45 (((~![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)))),
% 50.37/33.45 inference(monotonicity,[status(thm)],[33270])).
% 50.37/33.45 tff(33272,plain,
% 50.37/33.45 (((~![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))),
% 50.37/33.45 inference(transitivity,[status(thm)],[33271, 33269])).
% 50.37/33.45 tff(33273,plain,
% 50.37/33.45 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB87)) | v183(constB87) | v228(constB87))),
% 50.37/33.45 inference(quant_inst,[status(thm)],[])).
% 50.37/33.45 tff(33274,plain,
% 50.37/33.45 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB87) | (~v197(constB87)) | v183(constB87)),
% 50.37/33.45 inference(modus_ponens,[status(thm)],[33273, 33272])).
% 50.37/33.45 tff(33275,plain,
% 50.37/33.45 (v228(constB87)),
% 50.37/33.45 inference(unit_resolution,[status(thm)],[33274, 8887, 33253, 33268])).
% 50.37/33.45 tff(33276,plain,
% 50.37/33.45 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB87)) | (~v223(constB87, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB87)) | (~v223(constB87, bitIndex1)))),
% 50.37/33.45 inference(rewrite,[status(thm)],[])).
% 50.37/33.45 tff(33277,plain,
% 50.37/33.45 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB87)) | (~v223(constB87, bitIndex1)))),
% 50.37/33.45 inference(quant_inst,[status(thm)],[])).
% 50.37/33.45 tff(33278,plain,
% 50.37/33.45 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB87)) | (~v223(constB87, bitIndex1))),
% 50.37/33.45 inference(modus_ponens,[status(thm)],[33277, 33276])).
% 50.37/33.45 tff(33279,plain,
% 50.37/33.45 (~v223(constB87, bitIndex1)),
% 50.37/33.45 inference(unit_resolution,[status(thm)],[33278, 8901, 33275])).
% 50.37/33.45 tff(33280,plain,
% 50.37/33.45 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB87, bitIndex0) | (~v229(constB87)) | v223(constB87, bitIndex1))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB87, bitIndex0) | (~v229(constB87)) | v223(constB87, bitIndex1))),
% 50.37/33.45 inference(rewrite,[status(thm)],[])).
% 50.37/33.45 tff(33281,plain,
% 50.37/33.45 ((v223(constB87, bitIndex0) | v223(constB87, bitIndex1) | (~v229(constB87))) <=> (v223(constB87, bitIndex0) | (~v229(constB87)) | v223(constB87, bitIndex1))),
% 50.37/33.45 inference(rewrite,[status(thm)],[])).
% 50.37/33.45 tff(33282,plain,
% 50.37/33.45 (((~![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) | (~v229(constB87)) | v223(constB87, bitIndex1)))),
% 50.37/33.45 inference(monotonicity,[status(thm)],[33281])).
% 50.37/33.45 tff(33283,plain,
% 50.37/33.45 (((~![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) | (~v229(constB87)) | v223(constB87, bitIndex1))),
% 50.37/33.45 inference(transitivity,[status(thm)],[33282, 33280])).
% 50.37/33.45 tff(33284,plain,
% 50.37/33.45 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB87, bitIndex0) | v223(constB87, bitIndex1) | (~v229(constB87)))),
% 50.37/33.45 inference(quant_inst,[status(thm)],[])).
% 50.37/33.45 tff(33285,plain,
% 50.37/33.45 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB87, bitIndex0) | (~v229(constB87)) | v223(constB87, bitIndex1)),
% 50.37/33.45 inference(modus_ponens,[status(thm)],[33284, 33283])).
% 50.37/33.45 tff(33286,plain,
% 50.37/33.45 (~v229(constB87)),
% 50.37/33.45 inference(unit_resolution,[status(thm)],[33285, 8915, 33279, 33264])).
% 50.37/33.45 tff(33287,plain,
% 50.37/33.45 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB87) | (~v225(constB87)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB87) | (~v225(constB87)))),
% 50.37/33.45 inference(rewrite,[status(thm)],[])).
% 50.37/33.45 tff(33288,plain,
% 50.37/33.45 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB87) | (~v225(constB87)))),
% 50.37/33.45 inference(quant_inst,[status(thm)],[])).
% 50.37/33.45 tff(33289,plain,
% 50.37/33.45 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB87) | (~v225(constB87))),
% 50.37/33.45 inference(modus_ponens,[status(thm)],[33288, 33287])).
% 50.37/33.45 tff(33290,plain,
% 50.37/33.45 (~v225(constB87)),
% 50.37/33.45 inference(unit_resolution,[status(thm)],[33289, 8929, 33286])).
% 50.37/33.45 tff(33291,plain,
% 50.37/33.45 (((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB87)) | (~v200(constB87)))) <=> ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB87)) | (~v200(constB87)))),
% 50.37/33.45 inference(rewrite,[status(thm)],[])).
% 50.37/33.45 tff(33292,plain,
% 50.37/33.45 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB87)) | (~v200(constB87)))),
% 50.37/33.45 inference(quant_inst,[status(thm)],[])).
% 50.37/33.45 tff(33293,plain,
% 50.37/33.45 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB87)) | (~v200(constB87))),
% 50.37/33.45 inference(modus_ponens,[status(thm)],[33292, 33291])).
% 50.37/33.45 tff(33294,plain,
% 50.37/33.45 (~v166(constB87)),
% 50.37/33.45 inference(unit_resolution,[status(thm)],[33293, 10263, 33237])).
% 50.37/33.45 tff(33295,plain,
% 50.37/33.45 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB87) | v166(constB87) | (~v197(constB87)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB87) | v166(constB87) | (~v197(constB87)))),
% 50.37/33.45 inference(rewrite,[status(thm)],[])).
% 50.37/33.45 tff(33296,plain,
% 50.37/33.45 (((~v197(constB87)) | v166(constB87) | v241(constB87)) <=> (v241(constB87) | v166(constB87) | (~v197(constB87)))),
% 50.37/33.45 inference(rewrite,[status(thm)],[])).
% 50.37/33.45 tff(33297,plain,
% 50.37/33.45 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB87)) | v166(constB87) | v241(constB87))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB87) | v166(constB87) | (~v197(constB87))))),
% 50.37/33.45 inference(monotonicity,[status(thm)],[33296])).
% 50.37/33.45 tff(33298,plain,
% 50.37/33.45 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB87)) | v166(constB87) | v241(constB87))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB87) | v166(constB87) | (~v197(constB87)))),
% 50.37/33.45 inference(transitivity,[status(thm)],[33297, 33295])).
% 50.37/33.45 tff(33299,plain,
% 50.37/33.45 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB87)) | v166(constB87) | v241(constB87))),
% 50.37/33.45 inference(quant_inst,[status(thm)],[])).
% 50.37/33.45 tff(33300,plain,
% 50.37/33.45 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB87) | v166(constB87) | (~v197(constB87))),
% 50.37/33.45 inference(modus_ponens,[status(thm)],[33299, 33298])).
% 50.37/33.45 tff(33301,plain,
% 50.37/33.45 (v241(constB87) | (~v197(constB87))),
% 50.37/33.45 inference(unit_resolution,[status(thm)],[33300, 10277, 33294])).
% 50.37/33.45 tff(33302,plain,
% 50.37/33.45 (v241(constB87)),
% 50.37/33.45 inference(unit_resolution,[status(thm)],[33301, 33253])).
% 50.37/33.45 tff(33303,plain,
% 50.37/33.45 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB87)) | (~v223(constB87, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB87)) | (~v223(constB87, bitIndex2)))),
% 50.37/33.45 inference(rewrite,[status(thm)],[])).
% 50.37/33.45 tff(33304,plain,
% 50.37/33.45 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB87)) | (~v223(constB87, bitIndex2)))),
% 50.37/33.45 inference(quant_inst,[status(thm)],[])).
% 50.37/33.45 tff(33305,plain,
% 50.37/33.45 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB87)) | (~v223(constB87, bitIndex2))),
% 50.37/33.45 inference(modus_ponens,[status(thm)],[33304, 33303])).
% 50.37/33.45 tff(33306,plain,
% 50.37/33.45 (~v223(constB87, bitIndex2)),
% 50.37/33.45 inference(unit_resolution,[status(thm)],[33305, 10292, 33302])).
% 50.37/33.45 tff(33307,plain,
% 50.37/33.45 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v223(constB87, bitIndex2) | v225(constB87) | (~v242(constB87)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v223(constB87, bitIndex2) | v225(constB87) | (~v242(constB87)))),
% 50.37/33.45 inference(rewrite,[status(thm)],[])).
% 50.37/33.45 tff(33308,plain,
% 50.37/33.45 ((v225(constB87) | v223(constB87, bitIndex2) | (~v242(constB87))) <=> (v223(constB87, bitIndex2) | v225(constB87) | (~v242(constB87)))),
% 50.37/33.45 inference(rewrite,[status(thm)],[])).
% 50.37/33.45 tff(33309,plain,
% 50.37/33.45 (((~![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)))) | (v223(constB87, bitIndex2) | v225(constB87) | (~v242(constB87))))),
% 50.37/33.45 inference(monotonicity,[status(thm)],[33308])).
% 50.37/33.45 tff(33310,plain,
% 50.37/33.45 (((~![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)))) | v223(constB87, bitIndex2) | v225(constB87) | (~v242(constB87)))),
% 50.37/33.45 inference(transitivity,[status(thm)],[33309, 33307])).
% 50.37/33.45 tff(33311,plain,
% 50.37/33.45 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB87) | v223(constB87, bitIndex2) | (~v242(constB87)))),
% 50.37/33.45 inference(quant_inst,[status(thm)],[])).
% 50.37/33.45 tff(33312,plain,
% 50.37/33.45 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v223(constB87, bitIndex2) | v225(constB87) | (~v242(constB87))),
% 50.37/33.45 inference(modus_ponens,[status(thm)],[33311, 33310])).
% 50.37/33.45 tff(33313,plain,
% 50.37/33.45 (v225(constB87) | (~v242(constB87))),
% 50.37/33.45 inference(unit_resolution,[status(thm)],[33312, 10306, 33306])).
% 50.37/33.45 tff(33314,plain,
% 50.37/33.45 (~v242(constB87)),
% 50.37/33.45 inference(unit_resolution,[status(thm)],[33313, 33290])).
% 50.37/33.45 tff(33315,plain,
% 50.37/33.45 (((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB87) | (~v238(constB87)))) <=> ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB87) | (~v238(constB87)))),
% 50.37/33.45 inference(rewrite,[status(thm)],[])).
% 50.37/33.45 tff(33316,plain,
% 50.37/33.45 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB87) | (~v238(constB87)))),
% 50.37/33.45 inference(quant_inst,[status(thm)],[])).
% 50.37/33.45 tff(33317,plain,
% 50.37/33.45 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB87) | (~v238(constB87))),
% 50.37/33.45 inference(modus_ponens,[status(thm)],[33316, 33315])).
% 50.37/33.45 tff(33318,plain,
% 50.37/33.45 (~v238(constB87)),
% 50.37/33.45 inference(unit_resolution,[status(thm)],[33317, 10318, 33314])).
% 50.37/33.45 tff(33319,plain,
% 50.37/33.45 (((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB87) | (~v237(constB87)))) <=> ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB87) | (~v237(constB87)))),
% 50.37/33.45 inference(rewrite,[status(thm)],[])).
% 50.37/33.45 tff(33320,plain,
% 50.37/33.45 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB87) | (~v237(constB87)))),
% 50.37/33.45 inference(quant_inst,[status(thm)],[])).
% 50.37/33.45 tff(33321,plain,
% 50.37/33.45 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB87) | (~v237(constB87))),
% 50.37/33.45 inference(modus_ponens,[status(thm)],[33320, 33319])).
% 50.37/33.45 tff(33322,plain,
% 50.37/33.45 (~v237(constB87)),
% 50.37/33.45 inference(unit_resolution,[status(thm)],[33321, 10329, 33318])).
% 50.37/33.45 tff(33323,plain,
% 50.37/33.45 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB87)) | v223(constB87, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB87)) | v223(constB87, bitIndex2))),
% 50.37/33.45 inference(rewrite,[status(thm)],[])).
% 50.37/33.45 tff(33324,plain,
% 50.37/33.45 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB87)) | v223(constB87, bitIndex2))),
% 50.37/33.45 inference(quant_inst,[status(thm)],[])).
% 50.37/33.45 tff(33325,plain,
% 50.37/33.45 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB87)) | v223(constB87, bitIndex2)),
% 50.37/33.45 inference(modus_ponens,[status(thm)],[33324, 33323])).
% 50.37/33.45 tff(33326,plain,
% 50.37/33.45 (~v224(constB87)),
% 50.37/33.45 inference(unit_resolution,[status(thm)],[33325, 10343, 33306])).
% 50.37/33.45 tff(33327,plain,
% 50.37/33.45 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB87)) | v223(constB87, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB87)) | v223(constB87, bitIndex1))),
% 50.37/33.45 inference(rewrite,[status(thm)],[])).
% 50.37/33.45 tff(33328,plain,
% 50.37/33.45 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB87)) | v223(constB87, bitIndex1))),
% 50.37/33.45 inference(quant_inst,[status(thm)],[])).
% 50.37/33.45 tff(33329,plain,
% 50.37/33.45 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB87)) | v223(constB87, bitIndex1)),
% 50.37/33.46 inference(modus_ponens,[status(thm)],[33328, 33327])).
% 50.37/33.46 tff(33330,plain,
% 50.37/33.46 (~v222(constB87)),
% 50.37/33.46 inference(unit_resolution,[status(thm)],[33329, 8954, 33279])).
% 50.37/33.46 tff(33331,plain,
% 50.37/33.46 (((~![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)))),
% 50.37/33.46 inference(rewrite,[status(thm)],[])).
% 50.37/33.46 tff(33332,plain,
% 50.37/33.46 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB87) | v224(constB87) | (~v236(constB87)))),
% 50.37/33.46 inference(quant_inst,[status(thm)],[])).
% 50.37/33.46 tff(33333,plain,
% 50.37/33.46 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB87) | v224(constB87) | (~v236(constB87))),
% 50.37/33.46 inference(modus_ponens,[status(thm)],[33332, 33331])).
% 50.37/33.46 tff(33334,plain,
% 50.37/33.46 (~v236(constB87)),
% 50.37/33.46 inference(unit_resolution,[status(thm)],[33333, 8968, 33330, 33326])).
% 50.37/33.46 tff(33335,plain,
% 50.37/33.46 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB87) | (~v232(constB87)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB87) | (~v232(constB87)))),
% 50.37/33.46 inference(rewrite,[status(thm)],[])).
% 50.37/33.46 tff(33336,plain,
% 50.37/33.46 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB87) | (~v232(constB87)))),
% 50.37/33.46 inference(quant_inst,[status(thm)],[])).
% 50.37/33.46 tff(33337,plain,
% 50.37/33.46 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB87) | (~v232(constB87))),
% 50.37/33.46 inference(modus_ponens,[status(thm)],[33336, 33335])).
% 50.37/33.46 tff(33338,plain,
% 50.37/33.46 (~v232(constB87)),
% 50.37/33.46 inference(unit_resolution,[status(thm)],[33337, 8980, 33334])).
% 50.37/33.46 tff(33339,plain,
% 50.37/33.46 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB87) | v232(constB87) | (~v248(constB87)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB87) | v232(constB87) | (~v248(constB87)))),
% 50.37/33.46 inference(rewrite,[status(thm)],[])).
% 50.37/33.46 tff(33340,plain,
% 50.37/33.46 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB87) | v232(constB87) | (~v248(constB87)))),
% 50.37/33.46 inference(quant_inst,[status(thm)],[])).
% 50.37/33.46 tff(33341,plain,
% 50.37/33.46 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB87) | v232(constB87) | (~v248(constB87))),
% 50.37/33.46 inference(modus_ponens,[status(thm)],[33340, 33339])).
% 50.37/33.46 tff(33342,plain,
% 50.37/33.46 (v237(constB87) | (~v248(constB87))),
% 50.37/33.46 inference(unit_resolution,[status(thm)],[33341, 9076, 33338])).
% 50.37/33.46 tff(33343,plain,
% 50.37/33.46 (~v248(constB87)),
% 50.37/33.46 inference(unit_resolution,[status(thm)],[33342, 33322])).
% 50.37/33.46 tff(33344,plain,
% 50.37/33.46 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB87) | (~v244(constB87)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB87) | (~v244(constB87)))),
% 50.37/33.46 inference(rewrite,[status(thm)],[])).
% 50.37/33.46 tff(33345,plain,
% 50.37/33.46 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB87) | (~v244(constB87)))),
% 50.37/33.46 inference(quant_inst,[status(thm)],[])).
% 50.37/33.46 tff(33346,plain,
% 50.37/33.46 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB87) | (~v244(constB87))),
% 50.37/33.46 inference(modus_ponens,[status(thm)],[33345, 33344])).
% 50.37/33.46 tff(33347,plain,
% 50.37/33.46 (~v244(constB87)),
% 50.37/33.46 inference(unit_resolution,[status(thm)],[33346, 11335, 33343])).
% 50.37/33.46 tff(33348,plain,
% 50.37/33.46 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB87) | (~v216(constB87, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB87) | (~v216(constB87, bitIndex1)))),
% 50.37/33.46 inference(rewrite,[status(thm)],[])).
% 50.37/33.46 tff(33349,plain,
% 50.37/33.46 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB87) | (~v216(constB87, bitIndex1)))),
% 50.37/33.46 inference(quant_inst,[status(thm)],[])).
% 50.37/33.46 tff(33350,plain,
% 50.37/33.46 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB87) | (~v216(constB87, bitIndex1))),
% 50.37/33.46 inference(modus_ponens,[status(thm)],[33349, 33348])).
% 50.37/33.46 tff(33351,plain,
% 50.37/33.46 (~v216(constB87, bitIndex1)),
% 50.37/33.46 inference(unit_resolution,[status(thm)],[33350, 11346, 33347])).
% 50.37/33.46 tff(33352,plain,
% 50.37/33.46 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB87, bitIndex1) | (~v254(constB87)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB87, bitIndex1) | (~v254(constB87)))),
% 50.37/33.46 inference(rewrite,[status(thm)],[])).
% 50.37/33.46 tff(33353,plain,
% 50.37/33.46 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB87, bitIndex1) | (~v254(constB87)))),
% 50.37/33.46 inference(quant_inst,[status(thm)],[])).
% 50.37/33.46 tff(33354,plain,
% 50.37/33.46 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB87, bitIndex1) | (~v254(constB87))),
% 50.37/33.46 inference(modus_ponens,[status(thm)],[33353, 33352])).
% 50.37/33.46 tff(33355,plain,
% 50.37/33.46 (~v254(constB87)),
% 50.37/33.46 inference(unit_resolution,[status(thm)],[33354, 11357, 33351])).
% 50.37/33.46 tff(33356,plain,
% 50.37/33.46 (((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB87) | (~v231(constB87)))) <=> ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB87) | (~v231(constB87)))),
% 50.37/33.46 inference(rewrite,[status(thm)],[])).
% 50.37/33.46 tff(33357,plain,
% 50.37/33.46 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB87) | (~v231(constB87)))),
% 50.37/33.46 inference(quant_inst,[status(thm)],[])).
% 50.37/33.46 tff(33358,plain,
% 50.37/33.46 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB87) | (~v231(constB87))),
% 50.37/33.46 inference(modus_ponens,[status(thm)],[33357, 33356])).
% 50.37/33.46 tff(33359,plain,
% 50.37/33.46 (~v231(constB87)),
% 50.37/33.46 inference(unit_resolution,[status(thm)],[33358, 24684, 33338])).
% 50.37/33.46 tff(33360,plain,
% 50.37/33.46 (((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB87) | (~v221(constB87)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB87) | (~v221(constB87)))),
% 50.37/33.46 inference(rewrite,[status(thm)],[])).
% 50.37/33.46 tff(33361,plain,
% 50.37/33.46 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB87) | (~v221(constB87)))),
% 50.37/33.46 inference(quant_inst,[status(thm)],[])).
% 50.37/33.46 tff(33362,plain,
% 50.37/33.46 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB87) | (~v221(constB87))),
% 50.37/33.46 inference(modus_ponens,[status(thm)],[33361, 33360])).
% 50.37/33.46 tff(33363,plain,
% 50.37/33.46 (~v221(constB87)),
% 50.37/33.46 inference(unit_resolution,[status(thm)],[33362, 11192, 33330])).
% 50.37/33.46 tff(33364,plain,
% 50.37/33.46 (((~![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)))),
% 50.37/33.46 inference(rewrite,[status(thm)],[])).
% 50.37/33.46 tff(33365,plain,
% 50.37/33.46 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB87) | v231(constB87) | (~v243(constB87)))),
% 50.37/33.46 inference(quant_inst,[status(thm)],[])).
% 50.37/33.46 tff(33366,plain,
% 50.37/33.46 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB87) | v231(constB87) | (~v243(constB87))),
% 50.37/33.46 inference(modus_ponens,[status(thm)],[33365, 33364])).
% 50.37/33.46 tff(33367,plain,
% 50.37/33.46 (v231(constB87) | (~v243(constB87))),
% 50.37/33.46 inference(unit_resolution,[status(thm)],[33366, 11206, 33363])).
% 50.37/33.46 tff(33368,plain,
% 50.37/33.46 (~v243(constB87)),
% 50.37/33.46 inference(unit_resolution,[status(thm)],[33367, 33359])).
% 50.37/33.46 tff(33369,plain,
% 50.37/33.46 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB87) | v255(constB87))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB87) | v255(constB87))),
% 50.37/33.46 inference(rewrite,[status(thm)],[])).
% 50.37/33.46 tff(33370,plain,
% 50.37/33.46 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB87) | v255(constB87))),
% 50.37/33.46 inference(quant_inst,[status(thm)],[])).
% 50.37/33.46 tff(33371,plain,
% 50.37/33.46 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB87) | v255(constB87)),
% 50.37/33.46 inference(modus_ponens,[status(thm)],[33370, 33369])).
% 50.37/33.46 tff(33372,plain,
% 50.37/33.46 (v255(constB87)),
% 50.37/33.46 inference(unit_resolution,[status(thm)],[33371, 11222, 33368])).
% 50.37/33.46 tff(33373,plain,
% 50.37/33.46 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB87)) | (~v216(constB87, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB87)) | (~v216(constB87, bitIndex2)))),
% 50.37/33.46 inference(rewrite,[status(thm)],[])).
% 50.37/33.46 tff(33374,plain,
% 50.37/33.46 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB87)) | (~v216(constB87, bitIndex2)))),
% 50.37/33.46 inference(quant_inst,[status(thm)],[])).
% 50.37/33.46 tff(33375,plain,
% 50.37/33.46 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB87)) | (~v216(constB87, bitIndex2))),
% 50.37/33.46 inference(modus_ponens,[status(thm)],[33374, 33373])).
% 50.37/33.46 tff(33376,plain,
% 50.37/33.46 (~v216(constB87, bitIndex2)),
% 50.37/33.46 inference(unit_resolution,[status(thm)],[33375, 11237, 33372])).
% 50.37/33.46 tff(33377,plain,
% 50.37/33.46 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | ((~v215(constB87)) | v254(constB87) | v216(constB87, bitIndex2))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB87)) | v254(constB87) | v216(constB87, bitIndex2))),
% 50.37/33.46 inference(rewrite,[status(thm)],[])).
% 50.37/33.46 tff(33378,plain,
% 50.37/33.46 ((v216(constB87, bitIndex2) | v254(constB87) | (~v215(constB87))) <=> ((~v215(constB87)) | v254(constB87) | v216(constB87, bitIndex2))),
% 50.37/33.46 inference(rewrite,[status(thm)],[])).
% 50.37/33.46 tff(33379,plain,
% 50.37/33.46 (((~![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)))) | ((~v215(constB87)) | v254(constB87) | v216(constB87, bitIndex2)))),
% 50.37/33.46 inference(monotonicity,[status(thm)],[33378])).
% 50.37/33.46 tff(33380,plain,
% 50.37/33.46 (((~![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)))) | (~v215(constB87)) | v254(constB87) | v216(constB87, bitIndex2))),
% 50.37/33.46 inference(transitivity,[status(thm)],[33379, 33377])).
% 50.37/33.46 tff(33381,plain,
% 50.37/33.46 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB87, bitIndex2) | v254(constB87) | (~v215(constB87)))),
% 50.37/33.46 inference(quant_inst,[status(thm)],[])).
% 50.37/33.46 tff(33382,plain,
% 50.37/33.46 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (~v215(constB87)) | v254(constB87) | v216(constB87, bitIndex2)),
% 50.37/33.46 inference(modus_ponens,[status(thm)],[33381, 33380])).
% 50.37/33.46 tff(33383,plain,
% 50.37/33.46 ((~v215(constB87)) | v254(constB87)),
% 50.37/33.46 inference(unit_resolution,[status(thm)],[33382, 11278, 33376])).
% 50.37/33.46 tff(33384,plain,
% 50.37/33.46 (~v215(constB87)),
% 50.37/33.46 inference(unit_resolution,[status(thm)],[33383, 33355])).
% 50.37/33.46 tff(33385,plain,
% 50.37/33.46 ($false),
% 50.37/33.46 inference(unit_resolution,[status(thm)],[33384, 33214])).
% 50.37/33.46 tff(33386,plain,(~(constB87 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.37/33.46 tff(33387,assumption,(constB55 = sK0_VarCurr), introduced(assumption)).
% 50.37/33.46 tff(33388,plain,
% 50.37/33.46 (v215(constB55) <=> v215(sK0_VarCurr)),
% 50.37/33.46 inference(monotonicity,[status(thm)],[33387])).
% 50.37/33.46 tff(33389,plain,
% 50.37/33.46 (v215(sK0_VarCurr) <=> v215(constB55)),
% 50.37/33.46 inference(symmetry,[status(thm)],[33388])).
% 50.37/33.46 tff(33390,plain,
% 50.37/33.46 (v215(constB55)),
% 50.37/33.46 inference(modus_ponens,[status(thm)],[11268, 33389])).
% 50.37/33.46 tff(33391,plain,
% 50.37/33.46 (((~![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)))),
% 50.37/33.46 inference(rewrite,[status(thm)],[])).
% 50.37/33.46 tff(33392,plain,
% 50.37/33.46 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB55, bitIndex0) | (~v88(constB55, bitIndex0)))),
% 50.37/33.46 inference(quant_inst,[status(thm)],[])).
% 50.37/33.46 tff(33393,plain,
% 50.37/33.46 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB55, bitIndex0) | (~v88(constB55, bitIndex0))),
% 50.37/33.46 inference(modus_ponens,[status(thm)],[33392, 33391])).
% 50.37/33.46 tff(33394,plain,
% 50.37/33.46 (~v88(constB55, bitIndex0)),
% 50.37/33.46 inference(unit_resolution,[status(thm)],[33393, 10505, 8121])).
% 50.37/33.46 tff(33395,plain,
% 50.37/33.46 (((~![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))),
% 50.37/33.46 inference(rewrite,[status(thm)],[])).
% 50.37/33.46 tff(33396,plain,
% 50.37/33.46 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB55, bitIndex2)) | v88(constB55, bitIndex2))),
% 50.37/33.46 inference(quant_inst,[status(thm)],[])).
% 50.37/33.46 tff(33397,plain,
% 50.37/33.46 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB55, bitIndex2)) | v88(constB55, bitIndex2)),
% 50.37/33.46 inference(modus_ponens,[status(thm)],[33396, 33395])).
% 50.37/33.46 tff(33398,plain,
% 50.37/33.46 (v88(constB55, bitIndex2)),
% 50.37/33.46 inference(unit_resolution,[status(thm)],[33397, 25107, 8056])).
% 50.37/33.46 tff(33399,plain,
% 50.37/33.46 (((~![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))),
% 50.37/33.46 inference(rewrite,[status(thm)],[])).
% 50.37/33.46 tff(33400,plain,
% 50.37/33.46 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB55, bitIndex1)) | v88(constB55, bitIndex1))),
% 50.37/33.46 inference(quant_inst,[status(thm)],[])).
% 50.37/33.46 tff(33401,plain,
% 50.37/33.46 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB55, bitIndex1)) | v88(constB55, bitIndex1)),
% 50.37/33.46 inference(modus_ponens,[status(thm)],[33400, 33399])).
% 50.37/33.46 tff(33402,plain,
% 50.37/33.46 (v88(constB55, bitIndex1)),
% 50.37/33.46 inference(unit_resolution,[status(thm)],[33401, 8707, 8087])).
% 50.37/33.46 tff(33403,plain,
% 50.37/33.46 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB55, bitIndex0) | (~v88(constB55, bitIndex2)) | (~v88(constB55, bitIndex1)) | v144(constB55))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB55, bitIndex0) | (~v88(constB55, bitIndex2)) | (~v88(constB55, bitIndex1)) | v144(constB55))),
% 50.37/33.46 inference(rewrite,[status(thm)],[])).
% 50.37/33.46 tff(33404,plain,
% 50.37/33.46 (((~v88(constB55, bitIndex2)) | (~v88(constB55, bitIndex1)) | v88(constB55, bitIndex0) | v144(constB55)) <=> (v88(constB55, bitIndex0) | (~v88(constB55, bitIndex2)) | (~v88(constB55, bitIndex1)) | v144(constB55))),
% 50.37/33.46 inference(rewrite,[status(thm)],[])).
% 50.37/33.46 tff(33405,plain,
% 50.37/33.46 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB55, bitIndex2)) | (~v88(constB55, bitIndex1)) | v88(constB55, bitIndex0) | v144(constB55))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB55, bitIndex0) | (~v88(constB55, bitIndex2)) | (~v88(constB55, bitIndex1)) | v144(constB55)))),
% 50.37/33.46 inference(monotonicity,[status(thm)],[33404])).
% 50.37/33.46 tff(33406,plain,
% 50.37/33.46 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB55, bitIndex2)) | (~v88(constB55, bitIndex1)) | v88(constB55, bitIndex0) | v144(constB55))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB55, bitIndex0) | (~v88(constB55, bitIndex2)) | (~v88(constB55, bitIndex1)) | v144(constB55))),
% 50.37/33.46 inference(transitivity,[status(thm)],[33405, 33403])).
% 50.37/33.46 tff(33407,plain,
% 50.37/33.46 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB55, bitIndex2)) | (~v88(constB55, bitIndex1)) | v88(constB55, bitIndex0) | v144(constB55))),
% 50.37/33.46 inference(quant_inst,[status(thm)],[])).
% 50.37/33.46 tff(33408,plain,
% 50.37/33.46 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB55, bitIndex0) | (~v88(constB55, bitIndex2)) | (~v88(constB55, bitIndex1)) | v144(constB55)),
% 50.37/33.46 inference(modus_ponens,[status(thm)],[33407, 33406])).
% 50.37/33.46 tff(33409,plain,
% 50.37/33.46 (v144(constB55)),
% 50.37/33.46 inference(unit_resolution,[status(thm)],[33408, 25122, 33402, 33398, 33394])).
% 50.37/33.46 tff(33410,plain,
% 50.37/33.46 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB55) | (~v144(constB55)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB55) | (~v144(constB55)))),
% 50.37/33.46 inference(rewrite,[status(thm)],[])).
% 50.37/33.46 tff(33411,plain,
% 50.37/33.46 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB55) | (~v144(constB55)))),
% 50.37/33.46 inference(quant_inst,[status(thm)],[])).
% 50.37/33.46 tff(33412,plain,
% 50.37/33.46 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB55) | (~v144(constB55))),
% 50.37/33.46 inference(modus_ponens,[status(thm)],[33411, 33410])).
% 50.37/33.46 tff(33413,plain,
% 50.37/33.46 (v142(constB55)),
% 50.37/33.46 inference(unit_resolution,[status(thm)],[33412, 25139, 33409])).
% 50.37/33.46 tff(33414,plain,
% 50.37/33.46 (((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB55) | (~v142(constB55)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB55) | (~v142(constB55)))),
% 50.37/33.46 inference(rewrite,[status(thm)],[])).
% 50.37/33.46 tff(33415,plain,
% 50.37/33.46 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB55) | (~v142(constB55)))),
% 50.37/33.46 inference(quant_inst,[status(thm)],[])).
% 50.37/33.46 tff(33416,plain,
% 50.37/33.46 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB55) | (~v142(constB55))),
% 50.37/33.46 inference(modus_ponens,[status(thm)],[33415, 33414])).
% 50.37/33.46 tff(33417,plain,
% 50.37/33.46 (v198(constB55)),
% 50.37/33.46 inference(unit_resolution,[status(thm)],[33416, 10548, 33413])).
% 50.37/33.46 tff(33418,plain,
% 50.37/33.46 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB55)) | (~v201(constB55)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB55)) | (~v201(constB55)))),
% 50.37/33.46 inference(rewrite,[status(thm)],[])).
% 50.37/33.46 tff(33419,plain,
% 50.37/33.46 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB55)) | (~v201(constB55)))),
% 50.37/33.46 inference(quant_inst,[status(thm)],[])).
% 50.37/33.46 tff(33420,plain,
% 50.37/33.46 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB55)) | (~v201(constB55))),
% 50.37/33.46 inference(modus_ponens,[status(thm)],[33419, 33418])).
% 50.37/33.46 tff(33421,plain,
% 50.37/33.46 (~v201(constB55)),
% 50.37/33.46 inference(unit_resolution,[status(thm)],[33420, 8823, 33417])).
% 50.37/33.46 tff(33422,plain,
% 50.37/33.46 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB55) | (~v198(constB55)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB55) | (~v198(constB55)))),
% 50.37/33.46 inference(rewrite,[status(thm)],[])).
% 50.37/33.46 tff(33423,plain,
% 50.37/33.46 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB55) | (~v198(constB55)))),
% 50.37/33.46 inference(quant_inst,[status(thm)],[])).
% 50.37/33.46 tff(33424,plain,
% 50.37/33.46 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB55) | (~v198(constB55))),
% 50.37/33.46 inference(modus_ponens,[status(thm)],[33423, 33422])).
% 50.37/33.46 tff(33425,plain,
% 50.37/33.46 (v197(constB55)),
% 50.37/33.46 inference(unit_resolution,[status(thm)],[33424, 8834, 33417])).
% 50.37/33.46 tff(33426,plain,
% 50.37/33.46 (((~![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))),
% 50.37/33.46 inference(rewrite,[status(thm)],[])).
% 50.37/33.46 tff(33427,plain,
% 50.37/33.46 (((~v197(constB55)) | v201(constB55) | v227(constB55)) <=> (v227(constB55) | (~v197(constB55)) | v201(constB55))),
% 50.37/33.46 inference(rewrite,[status(thm)],[])).
% 50.37/33.46 tff(33428,plain,
% 50.37/33.46 (((~![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)))),
% 50.37/33.46 inference(monotonicity,[status(thm)],[33427])).
% 50.37/33.46 tff(33429,plain,
% 50.37/33.46 (((~![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))),
% 50.37/33.46 inference(transitivity,[status(thm)],[33428, 33426])).
% 50.37/33.46 tff(33430,plain,
% 50.37/33.46 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB55)) | v201(constB55) | v227(constB55))),
% 50.37/33.46 inference(quant_inst,[status(thm)],[])).
% 50.37/33.46 tff(33431,plain,
% 50.37/33.46 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB55) | (~v197(constB55)) | v201(constB55)),
% 50.37/33.46 inference(modus_ponens,[status(thm)],[33430, 33429])).
% 50.37/33.46 tff(33432,plain,
% 50.37/33.46 (v227(constB55)),
% 50.37/33.46 inference(unit_resolution,[status(thm)],[33431, 8848, 33425, 33421])).
% 50.37/33.46 tff(33433,plain,
% 50.37/33.46 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB55)) | (~v223(constB55, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB55)) | (~v223(constB55, bitIndex0)))),
% 50.37/33.46 inference(rewrite,[status(thm)],[])).
% 50.37/33.46 tff(33434,plain,
% 50.37/33.46 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB55)) | (~v223(constB55, bitIndex0)))),
% 50.37/33.46 inference(quant_inst,[status(thm)],[])).
% 50.37/33.46 tff(33435,plain,
% 50.37/33.46 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB55)) | (~v223(constB55, bitIndex0))),
% 50.37/33.46 inference(modus_ponens,[status(thm)],[33434, 33433])).
% 50.37/33.46 tff(33436,plain,
% 50.37/33.46 (~v223(constB55, bitIndex0)),
% 50.37/33.46 inference(unit_resolution,[status(thm)],[33435, 8862, 33432])).
% 50.37/33.46 tff(33437,plain,
% 50.37/33.46 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB55, bitIndex0) | (~v222(constB55)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | v223(constB55, bitIndex0) | (~v222(constB55)))),
% 50.37/33.46 inference(rewrite,[status(thm)],[])).
% 50.37/33.46 tff(33438,plain,
% 50.37/33.46 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB55, bitIndex0) | (~v222(constB55)))),
% 50.37/33.46 inference(quant_inst,[status(thm)],[])).
% 50.37/33.46 tff(33439,plain,
% 50.37/33.46 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | v223(constB55, bitIndex0) | (~v222(constB55))),
% 50.37/33.46 inference(modus_ponens,[status(thm)],[33438, 33437])).
% 50.37/33.46 tff(33440,plain,
% 50.37/33.46 (~v222(constB55)),
% 50.37/33.46 inference(unit_resolution,[status(thm)],[33439, 10578, 33436])).
% 50.37/33.46 tff(33441,plain,
% 50.37/33.46 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB55, bitIndex1)) | (~v139(constB55)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB55, bitIndex1)) | (~v139(constB55)))),
% 50.37/33.46 inference(rewrite,[status(thm)],[])).
% 50.37/33.46 tff(33442,plain,
% 50.37/33.46 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB55, bitIndex1)) | (~v139(constB55)))),
% 50.37/33.46 inference(quant_inst,[status(thm)],[])).
% 50.37/33.46 tff(33443,plain,
% 50.37/33.46 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB55, bitIndex1)) | (~v139(constB55))),
% 50.37/33.46 inference(modus_ponens,[status(thm)],[33442, 33441])).
% 50.37/33.46 tff(33444,plain,
% 50.37/33.46 (~v139(constB55)),
% 50.37/33.46 inference(unit_resolution,[status(thm)],[33443, 10589, 33402])).
% 50.37/33.46 tff(33445,plain,
% 50.37/33.46 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB55, bitIndex1)) | (~v140(constB55)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB55, bitIndex1)) | (~v140(constB55)))),
% 50.37/33.46 inference(rewrite,[status(thm)],[])).
% 50.37/33.46 tff(33446,plain,
% 50.37/33.46 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB55, bitIndex1)) | (~v140(constB55)))),
% 50.37/33.46 inference(quant_inst,[status(thm)],[])).
% 50.37/33.46 tff(33447,plain,
% 50.37/33.46 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB55, bitIndex1)) | (~v140(constB55))),
% 50.37/33.46 inference(modus_ponens,[status(thm)],[33446, 33445])).
% 50.37/33.46 tff(33448,plain,
% 50.37/33.46 (~v140(constB55)),
% 50.37/33.46 inference(unit_resolution,[status(thm)],[33447, 9002, 33402])).
% 50.37/33.46 tff(33449,plain,
% 50.37/33.46 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB55) | v139(constB55) | (~v200(constB55)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB55) | v139(constB55) | (~v200(constB55)))),
% 50.37/33.46 inference(rewrite,[status(thm)],[])).
% 50.37/33.46 tff(33450,plain,
% 50.37/33.46 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB55) | v139(constB55) | (~v200(constB55)))),
% 50.37/33.46 inference(quant_inst,[status(thm)],[])).
% 50.37/33.46 tff(33451,plain,
% 50.37/33.46 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB55) | v139(constB55) | (~v200(constB55))),
% 50.37/33.46 inference(modus_ponens,[status(thm)],[33450, 33449])).
% 50.37/33.46 tff(33452,plain,
% 50.37/33.46 (~v200(constB55)),
% 50.37/33.46 inference(unit_resolution,[status(thm)],[33451, 10610, 33448, 33444])).
% 50.37/33.46 tff(33453,plain,
% 50.37/33.46 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB55, bitIndex2)) | (~v141(constB55)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB55, bitIndex2)) | (~v141(constB55)))),
% 50.37/33.46 inference(rewrite,[status(thm)],[])).
% 50.37/33.46 tff(33454,plain,
% 50.37/33.46 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB55, bitIndex2)) | (~v141(constB55)))),
% 50.37/33.46 inference(quant_inst,[status(thm)],[])).
% 50.37/33.46 tff(33455,plain,
% 50.37/33.46 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB55, bitIndex2)) | (~v141(constB55))),
% 50.37/33.46 inference(modus_ponens,[status(thm)],[33454, 33453])).
% 50.37/33.46 tff(33456,plain,
% 50.37/33.46 (~v141(constB55)),
% 50.37/33.46 inference(unit_resolution,[status(thm)],[33455, 25200, 33398])).
% 50.37/33.46 tff(33457,plain,
% 50.37/33.46 (((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB55) | v200(constB55) | (~v166(constB55)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB55) | v200(constB55) | (~v166(constB55)))),
% 50.37/33.46 inference(rewrite,[status(thm)],[])).
% 50.37/33.46 tff(33458,plain,
% 50.37/33.46 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB55) | v200(constB55) | (~v166(constB55)))),
% 50.37/33.46 inference(quant_inst,[status(thm)],[])).
% 50.37/33.46 tff(33459,plain,
% 50.37/33.46 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB55) | v200(constB55) | (~v166(constB55))),
% 50.37/33.46 inference(modus_ponens,[status(thm)],[33458, 33457])).
% 50.37/33.46 tff(33460,plain,
% 50.37/33.46 (~v166(constB55)),
% 50.37/33.46 inference(unit_resolution,[status(thm)],[33459, 10638, 33456, 33452])).
% 50.37/33.46 tff(33461,plain,
% 50.37/33.46 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB55) | v166(constB55) | (~v197(constB55)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB55) | v166(constB55) | (~v197(constB55)))),
% 50.37/33.46 inference(rewrite,[status(thm)],[])).
% 50.37/33.46 tff(33462,plain,
% 50.37/33.46 (((~v197(constB55)) | v166(constB55) | v241(constB55)) <=> (v241(constB55) | v166(constB55) | (~v197(constB55)))),
% 50.37/33.46 inference(rewrite,[status(thm)],[])).
% 50.37/33.46 tff(33463,plain,
% 50.37/33.46 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB55)) | v166(constB55) | v241(constB55))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB55) | v166(constB55) | (~v197(constB55))))),
% 50.37/33.46 inference(monotonicity,[status(thm)],[33462])).
% 50.37/33.46 tff(33464,plain,
% 50.37/33.46 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB55)) | v166(constB55) | v241(constB55))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB55) | v166(constB55) | (~v197(constB55)))),
% 50.37/33.46 inference(transitivity,[status(thm)],[33463, 33461])).
% 50.37/33.46 tff(33465,plain,
% 50.37/33.46 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB55)) | v166(constB55) | v241(constB55))),
% 50.37/33.46 inference(quant_inst,[status(thm)],[])).
% 50.37/33.46 tff(33466,plain,
% 50.37/33.46 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB55) | v166(constB55) | (~v197(constB55))),
% 50.37/33.46 inference(modus_ponens,[status(thm)],[33465, 33464])).
% 50.37/33.46 tff(33467,plain,
% 50.37/33.46 (v241(constB55) | (~v197(constB55))),
% 50.37/33.46 inference(unit_resolution,[status(thm)],[33466, 10277, 33460])).
% 50.37/33.46 tff(33468,plain,
% 50.37/33.46 (v241(constB55)),
% 50.37/33.46 inference(unit_resolution,[status(thm)],[33467, 33425])).
% 50.37/33.46 tff(33469,plain,
% 50.37/33.46 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB55)) | (~v223(constB55, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB55)) | (~v223(constB55, bitIndex2)))),
% 50.37/33.46 inference(rewrite,[status(thm)],[])).
% 50.37/33.46 tff(33470,plain,
% 50.37/33.46 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB55)) | (~v223(constB55, bitIndex2)))),
% 50.37/33.46 inference(quant_inst,[status(thm)],[])).
% 50.37/33.46 tff(33471,plain,
% 50.37/33.46 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB55)) | (~v223(constB55, bitIndex2))),
% 50.37/33.46 inference(modus_ponens,[status(thm)],[33470, 33469])).
% 50.37/33.46 tff(33472,plain,
% 50.37/33.46 (~v223(constB55, bitIndex2)),
% 50.37/33.46 inference(unit_resolution,[status(thm)],[33471, 10292, 33468])).
% 50.37/33.46 tff(33473,plain,
% 50.37/33.46 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB55)) | v223(constB55, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB55)) | v223(constB55, bitIndex2))),
% 50.37/33.46 inference(rewrite,[status(thm)],[])).
% 50.37/33.46 tff(33474,plain,
% 50.37/33.46 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB55)) | v223(constB55, bitIndex2))),
% 50.37/33.46 inference(quant_inst,[status(thm)],[])).
% 50.37/33.46 tff(33475,plain,
% 50.37/33.46 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB55)) | v223(constB55, bitIndex2)),
% 50.37/33.46 inference(modus_ponens,[status(thm)],[33474, 33473])).
% 50.37/33.46 tff(33476,plain,
% 50.37/33.46 (~v224(constB55)),
% 50.37/33.46 inference(unit_resolution,[status(thm)],[33475, 10343, 33472])).
% 50.37/33.46 tff(33477,plain,
% 50.37/33.46 (((~![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)))),
% 50.37/33.46 inference(rewrite,[status(thm)],[])).
% 50.37/33.46 tff(33478,plain,
% 50.37/33.46 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB55) | v224(constB55) | (~v236(constB55)))),
% 50.37/33.46 inference(quant_inst,[status(thm)],[])).
% 50.37/33.46 tff(33479,plain,
% 50.37/33.46 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB55) | v224(constB55) | (~v236(constB55))),
% 50.37/33.46 inference(modus_ponens,[status(thm)],[33478, 33477])).
% 50.37/33.46 tff(33480,plain,
% 50.37/33.46 (~v236(constB55)),
% 50.37/33.46 inference(unit_resolution,[status(thm)],[33479, 8968, 33476, 33440])).
% 50.37/33.46 tff(33481,plain,
% 50.37/33.46 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB55) | (~v232(constB55)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB55) | (~v232(constB55)))),
% 50.37/33.46 inference(rewrite,[status(thm)],[])).
% 50.37/33.46 tff(33482,plain,
% 50.37/33.46 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB55) | (~v232(constB55)))),
% 50.37/33.46 inference(quant_inst,[status(thm)],[])).
% 50.37/33.46 tff(33483,plain,
% 50.37/33.46 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB55) | (~v232(constB55))),
% 50.37/33.46 inference(modus_ponens,[status(thm)],[33482, 33481])).
% 50.37/33.46 tff(33484,plain,
% 50.37/33.46 (~v232(constB55)),
% 50.37/33.46 inference(unit_resolution,[status(thm)],[33483, 8980, 33480])).
% 50.37/33.46 tff(33485,plain,
% 50.37/33.46 (((~![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)))),
% 50.37/33.46 inference(rewrite,[status(thm)],[])).
% 50.37/33.46 tff(33486,plain,
% 50.37/33.46 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB55) | v139(constB55) | (~v148(constB55)))),
% 50.37/33.46 inference(quant_inst,[status(thm)],[])).
% 50.37/33.46 tff(33487,plain,
% 50.37/33.46 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB55) | v139(constB55) | (~v148(constB55))),
% 50.37/33.46 inference(modus_ponens,[status(thm)],[33486, 33485])).
% 50.37/33.46 tff(33488,plain,
% 50.37/33.46 (~v148(constB55)),
% 50.37/33.46 inference(unit_resolution,[status(thm)],[33487, 9016, 33448, 33444])).
% 50.37/33.46 tff(33489,plain,
% 50.37/33.46 (((~![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)))),
% 50.37/33.46 inference(rewrite,[status(thm)],[])).
% 50.37/33.46 tff(33490,plain,
% 50.37/33.46 ((v148(constB55) | (~v197(constB55)) | v252(constB55)) <=> (v252(constB55) | v148(constB55) | (~v197(constB55)))),
% 50.37/33.46 inference(rewrite,[status(thm)],[])).
% 50.37/33.46 tff(33491,plain,
% 50.37/33.46 (((~![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))))),
% 50.37/33.46 inference(monotonicity,[status(thm)],[33490])).
% 50.37/33.46 tff(33492,plain,
% 50.37/33.46 (((~![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)))),
% 50.37/33.46 inference(transitivity,[status(thm)],[33491, 33489])).
% 50.37/33.46 tff(33493,plain,
% 50.37/33.46 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB55) | (~v197(constB55)) | v252(constB55))),
% 50.37/33.46 inference(quant_inst,[status(thm)],[])).
% 50.37/33.46 tff(33494,plain,
% 50.37/33.46 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB55) | v148(constB55) | (~v197(constB55))),
% 50.37/33.46 inference(modus_ponens,[status(thm)],[33493, 33492])).
% 50.37/33.46 tff(33495,plain,
% 50.37/33.46 (v252(constB55) | (~v197(constB55))),
% 50.37/33.46 inference(unit_resolution,[status(thm)],[33494, 9033, 33488])).
% 50.37/33.46 tff(33496,plain,
% 50.37/33.46 (v252(constB55)),
% 50.37/33.46 inference(unit_resolution,[status(thm)],[33495, 33425])).
% 50.37/33.46 tff(33497,plain,
% 50.37/33.46 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB55)) | (~v223(constB55, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB55)) | (~v223(constB55, bitIndex3)))),
% 50.37/33.46 inference(rewrite,[status(thm)],[])).
% 50.37/33.46 tff(33498,plain,
% 50.37/33.46 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB55)) | (~v223(constB55, bitIndex3)))),
% 50.37/33.46 inference(quant_inst,[status(thm)],[])).
% 50.37/33.46 tff(33499,plain,
% 50.37/33.46 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB55)) | (~v223(constB55, bitIndex3))),
% 50.37/33.46 inference(modus_ponens,[status(thm)],[33498, 33497])).
% 50.37/33.46 tff(33500,plain,
% 50.37/33.46 (~v223(constB55, bitIndex3)),
% 50.37/33.46 inference(unit_resolution,[status(thm)],[33499, 9048, 33496])).
% 50.37/33.46 tff(33501,plain,
% 50.37/33.46 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB55)) | v223(constB55, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB55)) | v223(constB55, bitIndex3))),
% 50.37/33.46 inference(rewrite,[status(thm)],[])).
% 50.37/33.46 tff(33502,plain,
% 50.37/33.46 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB55)) | v223(constB55, bitIndex3))),
% 50.37/33.46 inference(quant_inst,[status(thm)],[])).
% 50.37/33.46 tff(33503,plain,
% 50.37/33.46 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB55)) | v223(constB55, bitIndex3)),
% 50.37/33.46 inference(modus_ponens,[status(thm)],[33502, 33501])).
% 50.37/33.46 tff(33504,plain,
% 50.37/33.46 (~v237(constB55)),
% 50.37/33.46 inference(unit_resolution,[status(thm)],[33503, 9062, 33500])).
% 50.37/33.46 tff(33505,plain,
% 50.37/33.46 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB55) | v232(constB55) | (~v248(constB55)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB55) | v232(constB55) | (~v248(constB55)))),
% 50.37/33.46 inference(rewrite,[status(thm)],[])).
% 50.37/33.46 tff(33506,plain,
% 50.37/33.46 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB55) | v232(constB55) | (~v248(constB55)))),
% 50.37/33.46 inference(quant_inst,[status(thm)],[])).
% 50.37/33.47 tff(33507,plain,
% 50.37/33.47 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB55) | v232(constB55) | (~v248(constB55))),
% 50.37/33.47 inference(modus_ponens,[status(thm)],[33506, 33505])).
% 50.37/33.47 tff(33508,plain,
% 50.37/33.47 (v232(constB55) | (~v248(constB55))),
% 50.37/33.47 inference(unit_resolution,[status(thm)],[33507, 9076, 33504])).
% 50.37/33.47 tff(33509,plain,
% 50.37/33.47 (~v248(constB55)),
% 50.37/33.47 inference(unit_resolution,[status(thm)],[33508, 33484])).
% 50.37/33.47 tff(33510,plain,
% 50.37/33.47 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB55) | (~v244(constB55)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB55) | (~v244(constB55)))),
% 50.37/33.47 inference(rewrite,[status(thm)],[])).
% 50.37/33.47 tff(33511,plain,
% 50.37/33.47 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB55) | (~v244(constB55)))),
% 50.37/33.47 inference(quant_inst,[status(thm)],[])).
% 50.37/33.47 tff(33512,plain,
% 50.37/33.47 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB55) | (~v244(constB55))),
% 50.37/33.47 inference(modus_ponens,[status(thm)],[33511, 33510])).
% 50.37/33.47 tff(33513,plain,
% 50.37/33.47 (~v244(constB55)),
% 50.37/33.47 inference(unit_resolution,[status(thm)],[33512, 11335, 33509])).
% 50.37/33.47 tff(33514,plain,
% 50.37/33.47 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB55) | (~v216(constB55, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB55) | (~v216(constB55, bitIndex1)))),
% 50.37/33.47 inference(rewrite,[status(thm)],[])).
% 50.37/33.47 tff(33515,plain,
% 50.37/33.47 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB55) | (~v216(constB55, bitIndex1)))),
% 50.37/33.47 inference(quant_inst,[status(thm)],[])).
% 50.37/33.47 tff(33516,plain,
% 50.37/33.47 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB55) | (~v216(constB55, bitIndex1))),
% 50.37/33.47 inference(modus_ponens,[status(thm)],[33515, 33514])).
% 50.37/33.47 tff(33517,plain,
% 50.37/33.47 (~v216(constB55, bitIndex1)),
% 50.37/33.47 inference(unit_resolution,[status(thm)],[33516, 11346, 33513])).
% 50.37/33.47 tff(33518,plain,
% 50.37/33.47 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB55, bitIndex1) | (~v254(constB55)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB55, bitIndex1) | (~v254(constB55)))),
% 50.37/33.47 inference(rewrite,[status(thm)],[])).
% 50.37/33.47 tff(33519,plain,
% 50.37/33.47 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB55, bitIndex1) | (~v254(constB55)))),
% 50.37/33.47 inference(quant_inst,[status(thm)],[])).
% 50.37/33.47 tff(33520,plain,
% 50.37/33.47 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB55, bitIndex1) | (~v254(constB55))),
% 50.37/33.47 inference(modus_ponens,[status(thm)],[33519, 33518])).
% 50.37/33.47 tff(33521,plain,
% 50.37/33.47 (~v254(constB55)),
% 50.37/33.47 inference(unit_resolution,[status(thm)],[33520, 11357, 33517])).
% 50.37/33.47 tff(33522,plain,
% 50.37/33.47 (((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB55) | (~v221(constB55)))) <=> ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB55) | (~v221(constB55)))),
% 50.37/33.47 inference(rewrite,[status(thm)],[])).
% 50.37/33.47 tff(33523,plain,
% 50.37/33.47 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB55) | (~v221(constB55)))),
% 50.37/33.47 inference(quant_inst,[status(thm)],[])).
% 50.37/33.47 tff(33524,plain,
% 50.37/33.47 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB55) | (~v221(constB55))),
% 50.37/33.47 inference(modus_ponens,[status(thm)],[33523, 33522])).
% 50.37/33.47 tff(33525,plain,
% 50.37/33.47 (~v221(constB55)),
% 50.37/33.47 inference(unit_resolution,[status(thm)],[33524, 11505, 33476])).
% 50.37/33.47 tff(33526,plain,
% 50.37/33.47 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB55) | (~v231(constB55)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB55) | (~v231(constB55)))),
% 50.37/33.47 inference(rewrite,[status(thm)],[])).
% 50.37/33.47 tff(33527,plain,
% 50.37/33.47 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB55) | (~v231(constB55)))),
% 50.37/33.47 inference(quant_inst,[status(thm)],[])).
% 50.37/33.47 tff(33528,plain,
% 50.37/33.47 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB55) | (~v231(constB55))),
% 50.37/33.47 inference(modus_ponens,[status(thm)],[33527, 33526])).
% 50.37/33.47 tff(33529,plain,
% 50.37/33.47 (~v231(constB55)),
% 50.37/33.47 inference(unit_resolution,[status(thm)],[33528, 11162, 33504])).
% 50.37/33.47 tff(33530,plain,
% 50.37/33.47 (((~![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)))),
% 50.37/33.47 inference(rewrite,[status(thm)],[])).
% 50.37/33.47 tff(33531,plain,
% 50.37/33.47 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB55) | v231(constB55) | (~v243(constB55)))),
% 50.37/33.47 inference(quant_inst,[status(thm)],[])).
% 50.37/33.47 tff(33532,plain,
% 50.37/33.47 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB55) | v231(constB55) | (~v243(constB55))),
% 50.37/33.47 inference(modus_ponens,[status(thm)],[33531, 33530])).
% 50.37/33.47 tff(33533,plain,
% 50.37/33.47 (~v243(constB55)),
% 50.37/33.47 inference(unit_resolution,[status(thm)],[33532, 11206, 33529, 33525])).
% 50.37/33.47 tff(33534,plain,
% 50.37/33.47 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB55) | v255(constB55))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB55) | v255(constB55))),
% 50.37/33.47 inference(rewrite,[status(thm)],[])).
% 50.37/33.47 tff(33535,plain,
% 50.37/33.47 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB55) | v255(constB55))),
% 50.37/33.47 inference(quant_inst,[status(thm)],[])).
% 50.37/33.47 tff(33536,plain,
% 50.37/33.47 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB55) | v255(constB55)),
% 50.37/33.47 inference(modus_ponens,[status(thm)],[33535, 33534])).
% 50.37/33.47 tff(33537,plain,
% 50.37/33.47 (v255(constB55)),
% 50.37/33.47 inference(unit_resolution,[status(thm)],[33536, 11222, 33533])).
% 50.37/33.47 tff(33538,plain,
% 50.37/33.47 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB55)) | (~v216(constB55, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB55)) | (~v216(constB55, bitIndex2)))),
% 50.37/33.47 inference(rewrite,[status(thm)],[])).
% 50.37/33.47 tff(33539,plain,
% 50.37/33.47 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB55)) | (~v216(constB55, bitIndex2)))),
% 50.37/33.47 inference(quant_inst,[status(thm)],[])).
% 50.37/33.47 tff(33540,plain,
% 50.37/33.47 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB55)) | (~v216(constB55, bitIndex2))),
% 50.37/33.47 inference(modus_ponens,[status(thm)],[33539, 33538])).
% 50.37/33.47 tff(33541,plain,
% 50.37/33.47 (~v216(constB55, bitIndex2)),
% 50.37/33.47 inference(unit_resolution,[status(thm)],[33540, 11237, 33537])).
% 50.37/33.47 tff(33542,plain,
% 50.37/33.47 (((~![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)))),
% 50.37/33.47 inference(rewrite,[status(thm)],[])).
% 50.37/33.47 tff(33543,plain,
% 50.37/33.47 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB55, bitIndex2) | v254(constB55) | (~v215(constB55)))),
% 50.37/33.47 inference(quant_inst,[status(thm)],[])).
% 50.37/33.47 tff(33544,plain,
% 50.37/33.47 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB55, bitIndex2) | v254(constB55) | (~v215(constB55))),
% 50.37/33.47 inference(modus_ponens,[status(thm)],[33543, 33542])).
% 50.37/33.47 tff(33545,plain,
% 50.37/33.47 (v254(constB55) | (~v215(constB55))),
% 50.37/33.47 inference(unit_resolution,[status(thm)],[33544, 11278, 33541])).
% 50.37/33.47 tff(33546,plain,
% 50.37/33.47 (~v215(constB55)),
% 50.37/33.47 inference(unit_resolution,[status(thm)],[33545, 33521])).
% 50.37/33.47 tff(33547,plain,
% 50.37/33.47 ($false),
% 50.37/33.47 inference(unit_resolution,[status(thm)],[33546, 33390])).
% 50.37/33.47 tff(33548,plain,(~(constB55 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.37/33.47 tff(33549,assumption,(constB37 = sK0_VarCurr), introduced(assumption)).
% 50.37/33.47 tff(33550,plain,
% 50.37/33.47 (v215(constB37) <=> v215(sK0_VarCurr)),
% 50.37/33.47 inference(monotonicity,[status(thm)],[33549])).
% 50.37/33.47 tff(33551,plain,
% 50.37/33.47 (v215(sK0_VarCurr) <=> v215(constB37)),
% 50.37/33.47 inference(symmetry,[status(thm)],[33550])).
% 50.37/33.47 tff(33552,plain,
% 50.37/33.47 (v215(constB37)),
% 50.37/33.47 inference(modus_ponens,[status(thm)],[11268, 33551])).
% 50.37/33.47 tff(33553,plain,
% 50.37/33.47 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB37, bitIndex2) | (~v88(constB37, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB37, bitIndex2) | (~v88(constB37, bitIndex2)))),
% 50.37/33.47 inference(rewrite,[status(thm)],[])).
% 50.37/33.47 tff(33554,plain,
% 50.37/33.47 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB37, bitIndex2) | (~v88(constB37, bitIndex2)))),
% 50.37/33.47 inference(quant_inst,[status(thm)],[])).
% 50.37/33.47 tff(33555,plain,
% 50.37/33.47 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB37, bitIndex2) | (~v88(constB37, bitIndex2))),
% 50.37/33.47 inference(modus_ponens,[status(thm)],[33554, 33553])).
% 50.37/33.47 tff(33556,plain,
% 50.37/33.47 (~v88(constB37, bitIndex2)),
% 50.37/33.47 inference(unit_resolution,[status(thm)],[33555, 8769, 6166])).
% 50.37/33.47 tff(33557,plain,
% 50.37/33.47 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB37, bitIndex1) | (~v88(constB37, bitIndex1)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB37, bitIndex1) | (~v88(constB37, bitIndex1)))),
% 50.37/33.47 inference(rewrite,[status(thm)],[])).
% 50.37/33.47 tff(33558,plain,
% 50.37/33.47 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | (v90(constB37, bitIndex1) | (~v88(constB37, bitIndex1)))),
% 50.37/33.47 inference(quant_inst,[status(thm)],[])).
% 50.37/33.47 tff(33559,plain,
% 50.37/33.47 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex1)))) | v90(constB37, bitIndex1) | (~v88(constB37, bitIndex1))),
% 50.37/33.47 inference(modus_ponens,[status(thm)],[33558, 33557])).
% 50.37/33.47 tff(33560,plain,
% 50.37/33.47 (~v88(constB37, bitIndex1)),
% 50.37/33.47 inference(unit_resolution,[status(thm)],[33559, 10126, 6203])).
% 50.37/33.47 tff(33561,plain,
% 50.37/33.47 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB37, bitIndex0)) | v88(constB37, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB37, bitIndex0)) | v88(constB37, bitIndex0))),
% 50.37/33.47 inference(rewrite,[status(thm)],[])).
% 50.37/33.47 tff(33562,plain,
% 50.37/33.47 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB37, bitIndex0)) | v88(constB37, bitIndex0))),
% 50.37/33.47 inference(quant_inst,[status(thm)],[])).
% 50.37/33.47 tff(33563,plain,
% 50.37/33.47 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB37, bitIndex0)) | v88(constB37, bitIndex0)),
% 50.37/33.47 inference(modus_ponens,[status(thm)],[33562, 33561])).
% 50.37/33.47 tff(33564,plain,
% 50.37/33.47 (v88(constB37, bitIndex0)),
% 50.37/33.47 inference(unit_resolution,[status(thm)],[33563, 8662, 6237])).
% 50.37/33.47 tff(33565,plain,
% 50.37/33.47 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | ((~v88(constB37, bitIndex0)) | v88(constB37, bitIndex2) | v88(constB37, bitIndex1) | v140(constB37))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB37, bitIndex0)) | v88(constB37, bitIndex2) | v88(constB37, bitIndex1) | v140(constB37))),
% 50.37/33.47 inference(rewrite,[status(thm)],[])).
% 50.37/33.47 tff(33566,plain,
% 50.37/33.47 ((v88(constB37, bitIndex2) | v88(constB37, bitIndex1) | (~v88(constB37, bitIndex0)) | v140(constB37)) <=> ((~v88(constB37, bitIndex0)) | v88(constB37, bitIndex2) | v88(constB37, bitIndex1) | v140(constB37))),
% 50.37/33.47 inference(rewrite,[status(thm)],[])).
% 50.37/33.47 tff(33567,plain,
% 50.37/33.47 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB37, bitIndex2) | v88(constB37, bitIndex1) | (~v88(constB37, bitIndex0)) | v140(constB37))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | ((~v88(constB37, bitIndex0)) | v88(constB37, bitIndex2) | v88(constB37, bitIndex1) | v140(constB37)))),
% 50.37/33.47 inference(monotonicity,[status(thm)],[33566])).
% 50.37/33.47 tff(33568,plain,
% 50.37/33.47 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB37, bitIndex2) | v88(constB37, bitIndex1) | (~v88(constB37, bitIndex0)) | v140(constB37))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB37, bitIndex0)) | v88(constB37, bitIndex2) | v88(constB37, bitIndex1) | v140(constB37))),
% 50.37/33.47 inference(transitivity,[status(thm)],[33567, 33565])).
% 50.37/33.47 tff(33569,plain,
% 50.37/33.47 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (v88(constB37, bitIndex2) | v88(constB37, bitIndex1) | (~v88(constB37, bitIndex0)) | v140(constB37))),
% 50.37/33.47 inference(quant_inst,[status(thm)],[])).
% 50.37/33.47 tff(33570,plain,
% 50.37/33.47 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | v88(VarCurr, bitIndex1) | (~v88(VarCurr, bitIndex0)) | v140(VarCurr))) | (~v88(constB37, bitIndex0)) | v88(constB37, bitIndex2) | v88(constB37, bitIndex1) | v140(constB37)),
% 50.37/33.47 inference(modus_ponens,[status(thm)],[33569, 33568])).
% 50.37/33.47 tff(33571,plain,
% 50.37/33.47 (v140(constB37)),
% 50.37/33.47 inference(unit_resolution,[status(thm)],[33570, 10178, 33564, 33560, 33556])).
% 50.37/33.47 tff(33572,plain,
% 50.37/33.47 (((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB37) | (~v140(constB37)))) <=> ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB37) | (~v140(constB37)))),
% 50.37/33.47 inference(rewrite,[status(thm)],[])).
% 50.37/33.47 tff(33573,plain,
% 50.37/33.47 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | (v200(constB37) | (~v140(constB37)))),
% 50.37/33.47 inference(quant_inst,[status(thm)],[])).
% 50.37/33.47 tff(33574,plain,
% 50.37/33.47 ((~![VarCurr: $i] : (v200(VarCurr) | (~v140(VarCurr)))) | v200(constB37) | (~v140(constB37))),
% 50.37/33.47 inference(modus_ponens,[status(thm)],[33573, 33572])).
% 50.37/33.47 tff(33575,plain,
% 50.37/33.47 (v200(constB37)),
% 50.37/33.47 inference(unit_resolution,[status(thm)],[33574, 10192, 33571])).
% 50.37/33.47 tff(33576,plain,
% 50.37/33.47 (((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB37) | (~v200(constB37)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB37) | (~v200(constB37)))),
% 50.37/33.47 inference(rewrite,[status(thm)],[])).
% 50.37/33.47 tff(33577,plain,
% 50.37/33.47 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | (v199(constB37) | (~v200(constB37)))),
% 50.37/33.47 inference(quant_inst,[status(thm)],[])).
% 50.37/33.47 tff(33578,plain,
% 50.37/33.47 ((~![VarCurr: $i] : (v199(VarCurr) | (~v200(VarCurr)))) | v199(constB37) | (~v200(constB37))),
% 50.37/33.47 inference(modus_ponens,[status(thm)],[33577, 33576])).
% 50.37/33.47 tff(33579,plain,
% 50.37/33.47 (v199(constB37)),
% 50.37/33.47 inference(unit_resolution,[status(thm)],[33578, 10203, 33575])).
% 50.37/33.47 tff(33580,plain,
% 50.37/33.47 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB37) | (~v199(constB37)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB37) | (~v199(constB37)))),
% 50.37/33.47 inference(rewrite,[status(thm)],[])).
% 50.37/33.47 tff(33581,plain,
% 50.37/33.47 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB37) | (~v199(constB37)))),
% 50.37/33.47 inference(quant_inst,[status(thm)],[])).
% 50.37/33.47 tff(33582,plain,
% 50.37/33.47 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB37) | (~v199(constB37))),
% 50.37/33.47 inference(modus_ponens,[status(thm)],[33581, 33580])).
% 50.37/33.47 tff(33583,plain,
% 50.37/33.47 (v198(constB37)),
% 50.37/33.47 inference(unit_resolution,[status(thm)],[33582, 8809, 33579])).
% 50.37/33.47 tff(33584,plain,
% 50.37/33.47 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB37)) | (~v201(constB37)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB37)) | (~v201(constB37)))),
% 50.37/33.47 inference(rewrite,[status(thm)],[])).
% 50.37/33.47 tff(33585,plain,
% 50.37/33.47 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB37)) | (~v201(constB37)))),
% 50.37/33.47 inference(quant_inst,[status(thm)],[])).
% 50.37/33.47 tff(33586,plain,
% 50.37/33.47 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB37)) | (~v201(constB37))),
% 50.37/33.47 inference(modus_ponens,[status(thm)],[33585, 33584])).
% 50.37/33.47 tff(33587,plain,
% 50.37/33.47 (~v201(constB37)),
% 50.37/33.47 inference(unit_resolution,[status(thm)],[33586, 8823, 33583])).
% 50.37/33.47 tff(33588,plain,
% 50.37/33.47 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB37) | (~v198(constB37)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB37) | (~v198(constB37)))),
% 50.37/33.47 inference(rewrite,[status(thm)],[])).
% 50.37/33.47 tff(33589,plain,
% 50.37/33.47 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB37) | (~v198(constB37)))),
% 50.37/33.47 inference(quant_inst,[status(thm)],[])).
% 50.37/33.47 tff(33590,plain,
% 50.37/33.47 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB37) | (~v198(constB37))),
% 50.37/33.47 inference(modus_ponens,[status(thm)],[33589, 33588])).
% 50.37/33.47 tff(33591,plain,
% 50.37/33.47 (v197(constB37)),
% 50.37/33.47 inference(unit_resolution,[status(thm)],[33590, 8834, 33583])).
% 50.37/33.47 tff(33592,plain,
% 50.37/33.47 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB37) | (~v197(constB37)) | v201(constB37))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB37) | (~v197(constB37)) | v201(constB37))),
% 50.37/33.47 inference(rewrite,[status(thm)],[])).
% 50.37/33.47 tff(33593,plain,
% 50.37/33.47 (((~v197(constB37)) | v201(constB37) | v227(constB37)) <=> (v227(constB37) | (~v197(constB37)) | v201(constB37))),
% 50.37/33.47 inference(rewrite,[status(thm)],[])).
% 50.37/33.47 tff(33594,plain,
% 50.37/33.47 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB37)) | v201(constB37) | v227(constB37))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB37) | (~v197(constB37)) | v201(constB37)))),
% 50.37/33.47 inference(monotonicity,[status(thm)],[33593])).
% 50.37/33.47 tff(33595,plain,
% 50.37/33.47 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB37)) | v201(constB37) | v227(constB37))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB37) | (~v197(constB37)) | v201(constB37))),
% 50.37/33.47 inference(transitivity,[status(thm)],[33594, 33592])).
% 50.37/33.47 tff(33596,plain,
% 50.37/33.47 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB37)) | v201(constB37) | v227(constB37))),
% 50.37/33.47 inference(quant_inst,[status(thm)],[])).
% 50.37/33.47 tff(33597,plain,
% 50.37/33.47 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB37) | (~v197(constB37)) | v201(constB37)),
% 50.37/33.47 inference(modus_ponens,[status(thm)],[33596, 33595])).
% 50.37/33.47 tff(33598,plain,
% 50.37/33.47 (v227(constB37)),
% 50.37/33.47 inference(unit_resolution,[status(thm)],[33597, 8848, 33591, 33587])).
% 50.37/33.47 tff(33599,plain,
% 50.37/33.47 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB37)) | (~v223(constB37, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB37)) | (~v223(constB37, bitIndex0)))),
% 50.37/33.47 inference(rewrite,[status(thm)],[])).
% 50.37/33.47 tff(33600,plain,
% 50.37/33.47 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB37)) | (~v223(constB37, bitIndex0)))),
% 50.37/33.47 inference(quant_inst,[status(thm)],[])).
% 50.37/33.47 tff(33601,plain,
% 50.37/33.47 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB37)) | (~v223(constB37, bitIndex0))),
% 50.37/33.47 inference(modus_ponens,[status(thm)],[33600, 33599])).
% 50.37/33.47 tff(33602,plain,
% 50.37/33.47 (~v223(constB37, bitIndex0)),
% 50.37/33.47 inference(unit_resolution,[status(thm)],[33601, 8862, 33598])).
% 50.37/33.47 tff(33603,plain,
% 50.37/33.47 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB37)) | (~v199(constB37)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB37)) | (~v199(constB37)))),
% 50.37/33.47 inference(rewrite,[status(thm)],[])).
% 50.37/33.47 tff(33604,plain,
% 50.37/33.47 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB37)) | (~v199(constB37)))),
% 50.37/33.47 inference(quant_inst,[status(thm)],[])).
% 50.37/33.47 tff(33605,plain,
% 50.37/33.47 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB37)) | (~v199(constB37))),
% 50.37/33.47 inference(modus_ponens,[status(thm)],[33604, 33603])).
% 50.37/33.47 tff(33606,plain,
% 50.37/33.47 (~v183(constB37)),
% 50.37/33.47 inference(unit_resolution,[status(thm)],[33605, 8873, 33579])).
% 50.37/33.47 tff(33607,plain,
% 50.37/33.47 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB37) | (~v197(constB37)) | v183(constB37))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB37) | (~v197(constB37)) | v183(constB37))),
% 50.37/33.47 inference(rewrite,[status(thm)],[])).
% 50.37/33.47 tff(33608,plain,
% 50.37/33.47 (((~v197(constB37)) | v183(constB37) | v228(constB37)) <=> (v228(constB37) | (~v197(constB37)) | v183(constB37))),
% 50.37/33.47 inference(rewrite,[status(thm)],[])).
% 50.37/33.47 tff(33609,plain,
% 50.37/33.47 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB37)) | v183(constB37) | v228(constB37))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB37) | (~v197(constB37)) | v183(constB37)))),
% 50.37/33.47 inference(monotonicity,[status(thm)],[33608])).
% 50.37/33.47 tff(33610,plain,
% 50.37/33.47 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB37)) | v183(constB37) | v228(constB37))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB37) | (~v197(constB37)) | v183(constB37))),
% 50.37/33.47 inference(transitivity,[status(thm)],[33609, 33607])).
% 50.37/33.47 tff(33611,plain,
% 50.37/33.47 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB37)) | v183(constB37) | v228(constB37))),
% 50.37/33.47 inference(quant_inst,[status(thm)],[])).
% 50.37/33.47 tff(33612,plain,
% 50.37/33.47 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB37) | (~v197(constB37)) | v183(constB37)),
% 50.37/33.47 inference(modus_ponens,[status(thm)],[33611, 33610])).
% 50.37/33.47 tff(33613,plain,
% 50.37/33.47 (v228(constB37)),
% 50.37/33.47 inference(unit_resolution,[status(thm)],[33612, 8887, 33591, 33606])).
% 50.37/33.47 tff(33614,plain,
% 50.37/33.47 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB37)) | (~v223(constB37, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB37)) | (~v223(constB37, bitIndex1)))),
% 50.37/33.47 inference(rewrite,[status(thm)],[])).
% 50.37/33.47 tff(33615,plain,
% 50.37/33.47 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB37)) | (~v223(constB37, bitIndex1)))),
% 50.37/33.47 inference(quant_inst,[status(thm)],[])).
% 50.37/33.47 tff(33616,plain,
% 50.37/33.47 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB37)) | (~v223(constB37, bitIndex1))),
% 50.37/33.47 inference(modus_ponens,[status(thm)],[33615, 33614])).
% 50.37/33.47 tff(33617,plain,
% 50.37/33.47 (~v223(constB37, bitIndex1)),
% 50.37/33.47 inference(unit_resolution,[status(thm)],[33616, 8901, 33613])).
% 50.37/33.47 tff(33618,plain,
% 50.37/33.47 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB37, bitIndex1) | v223(constB37, bitIndex0) | (~v229(constB37)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB37, bitIndex1) | v223(constB37, bitIndex0) | (~v229(constB37)))),
% 50.37/33.47 inference(rewrite,[status(thm)],[])).
% 50.37/33.47 tff(33619,plain,
% 50.37/33.47 ((v223(constB37, bitIndex0) | v223(constB37, bitIndex1) | (~v229(constB37))) <=> (v223(constB37, bitIndex1) | v223(constB37, bitIndex0) | (~v229(constB37)))),
% 50.37/33.47 inference(rewrite,[status(thm)],[])).
% 50.37/33.47 tff(33620,plain,
% 50.37/33.47 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB37, bitIndex0) | v223(constB37, bitIndex1) | (~v229(constB37)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB37, bitIndex1) | v223(constB37, bitIndex0) | (~v229(constB37))))),
% 50.37/33.47 inference(monotonicity,[status(thm)],[33619])).
% 50.37/33.47 tff(33621,plain,
% 50.37/33.47 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB37, bitIndex0) | v223(constB37, bitIndex1) | (~v229(constB37)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB37, bitIndex1) | v223(constB37, bitIndex0) | (~v229(constB37)))),
% 50.37/33.47 inference(transitivity,[status(thm)],[33620, 33618])).
% 50.37/33.47 tff(33622,plain,
% 50.37/33.47 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB37, bitIndex0) | v223(constB37, bitIndex1) | (~v229(constB37)))),
% 50.37/33.47 inference(quant_inst,[status(thm)],[])).
% 50.37/33.47 tff(33623,plain,
% 50.37/33.47 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB37, bitIndex1) | v223(constB37, bitIndex0) | (~v229(constB37))),
% 50.37/33.47 inference(modus_ponens,[status(thm)],[33622, 33621])).
% 50.37/33.47 tff(33624,plain,
% 50.37/33.47 (~v229(constB37)),
% 50.37/33.47 inference(unit_resolution,[status(thm)],[33623, 8915, 33617, 33602])).
% 50.37/33.47 tff(33625,plain,
% 50.37/33.47 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB37) | (~v225(constB37)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB37) | (~v225(constB37)))),
% 50.37/33.47 inference(rewrite,[status(thm)],[])).
% 50.37/33.47 tff(33626,plain,
% 50.37/33.47 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB37) | (~v225(constB37)))),
% 50.37/33.47 inference(quant_inst,[status(thm)],[])).
% 50.37/33.47 tff(33627,plain,
% 50.37/33.47 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB37) | (~v225(constB37))),
% 50.37/33.47 inference(modus_ponens,[status(thm)],[33626, 33625])).
% 50.37/33.47 tff(33628,plain,
% 50.37/33.47 (~v225(constB37)),
% 50.37/33.47 inference(unit_resolution,[status(thm)],[33627, 8929, 33624])).
% 50.37/33.47 tff(33629,plain,
% 50.37/33.47 (((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB37)) | (~v200(constB37)))) <=> ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB37)) | (~v200(constB37)))),
% 50.37/33.47 inference(rewrite,[status(thm)],[])).
% 50.37/33.47 tff(33630,plain,
% 50.37/33.47 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | ((~v166(constB37)) | (~v200(constB37)))),
% 50.37/33.47 inference(quant_inst,[status(thm)],[])).
% 50.37/33.47 tff(33631,plain,
% 50.37/33.47 ((~![VarCurr: $i] : ((~v166(VarCurr)) | (~v200(VarCurr)))) | (~v166(constB37)) | (~v200(constB37))),
% 50.37/33.47 inference(modus_ponens,[status(thm)],[33630, 33629])).
% 50.37/33.47 tff(33632,plain,
% 50.37/33.47 (~v166(constB37)),
% 50.37/33.47 inference(unit_resolution,[status(thm)],[33631, 10263, 33575])).
% 50.37/33.47 tff(33633,plain,
% 50.37/33.47 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB37) | (~v197(constB37)) | v166(constB37))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB37) | (~v197(constB37)) | v166(constB37))),
% 50.37/33.47 inference(rewrite,[status(thm)],[])).
% 50.37/33.47 tff(33634,plain,
% 50.37/33.47 (((~v197(constB37)) | v166(constB37) | v241(constB37)) <=> (v241(constB37) | (~v197(constB37)) | v166(constB37))),
% 50.37/33.47 inference(rewrite,[status(thm)],[])).
% 50.37/33.47 tff(33635,plain,
% 50.37/33.47 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB37)) | v166(constB37) | v241(constB37))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB37) | (~v197(constB37)) | v166(constB37)))),
% 50.37/33.47 inference(monotonicity,[status(thm)],[33634])).
% 50.37/33.47 tff(33636,plain,
% 50.37/33.47 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB37)) | v166(constB37) | v241(constB37))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB37) | (~v197(constB37)) | v166(constB37))),
% 50.37/33.47 inference(transitivity,[status(thm)],[33635, 33633])).
% 50.37/33.47 tff(33637,plain,
% 50.37/33.47 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB37)) | v166(constB37) | v241(constB37))),
% 50.37/33.47 inference(quant_inst,[status(thm)],[])).
% 50.37/33.47 tff(33638,plain,
% 50.37/33.47 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB37) | (~v197(constB37)) | v166(constB37)),
% 50.37/33.47 inference(modus_ponens,[status(thm)],[33637, 33636])).
% 50.37/33.47 tff(33639,plain,
% 50.37/33.47 (v241(constB37) | (~v197(constB37))),
% 50.37/33.47 inference(unit_resolution,[status(thm)],[33638, 10277, 33632])).
% 50.37/33.47 tff(33640,plain,
% 50.37/33.47 (v241(constB37)),
% 50.37/33.47 inference(unit_resolution,[status(thm)],[33639, 33591])).
% 50.37/33.47 tff(33641,plain,
% 50.37/33.47 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB37)) | (~v223(constB37, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB37)) | (~v223(constB37, bitIndex2)))),
% 50.37/33.47 inference(rewrite,[status(thm)],[])).
% 50.37/33.47 tff(33642,plain,
% 50.37/33.47 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB37)) | (~v223(constB37, bitIndex2)))),
% 50.37/33.47 inference(quant_inst,[status(thm)],[])).
% 50.37/33.47 tff(33643,plain,
% 50.37/33.47 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB37)) | (~v223(constB37, bitIndex2))),
% 50.37/33.47 inference(modus_ponens,[status(thm)],[33642, 33641])).
% 50.37/33.47 tff(33644,plain,
% 50.37/33.47 (~v223(constB37, bitIndex2)),
% 50.37/33.47 inference(unit_resolution,[status(thm)],[33643, 10292, 33640])).
% 50.37/33.47 tff(33645,plain,
% 50.37/33.47 (((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB37) | v223(constB37, bitIndex2) | (~v242(constB37)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v225(constB37) | v223(constB37, bitIndex2) | (~v242(constB37)))),
% 50.37/33.47 inference(rewrite,[status(thm)],[])).
% 50.37/33.47 tff(33646,plain,
% 50.37/33.47 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | (v225(constB37) | v223(constB37, bitIndex2) | (~v242(constB37)))),
% 50.37/33.47 inference(quant_inst,[status(thm)],[])).
% 50.37/33.47 tff(33647,plain,
% 50.37/33.47 ((~![VarCurr: $i] : (v225(VarCurr) | v223(VarCurr, bitIndex2) | (~v242(VarCurr)))) | v225(constB37) | v223(constB37, bitIndex2) | (~v242(constB37))),
% 50.37/33.47 inference(modus_ponens,[status(thm)],[33646, 33645])).
% 50.37/33.47 tff(33648,plain,
% 50.37/33.47 (v225(constB37) | (~v242(constB37))),
% 50.37/33.47 inference(unit_resolution,[status(thm)],[33647, 10306, 33644])).
% 50.37/33.47 tff(33649,plain,
% 50.37/33.47 (~v242(constB37)),
% 50.37/33.47 inference(unit_resolution,[status(thm)],[33648, 33628])).
% 50.37/33.47 tff(33650,plain,
% 50.37/33.47 (((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB37) | (~v238(constB37)))) <=> ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB37) | (~v238(constB37)))),
% 50.37/33.47 inference(rewrite,[status(thm)],[])).
% 50.37/33.47 tff(33651,plain,
% 50.37/33.47 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | (v242(constB37) | (~v238(constB37)))),
% 50.37/33.47 inference(quant_inst,[status(thm)],[])).
% 50.37/33.47 tff(33652,plain,
% 50.37/33.47 ((~![VarCurr: $i] : (v242(VarCurr) | (~v238(VarCurr)))) | v242(constB37) | (~v238(constB37))),
% 50.37/33.47 inference(modus_ponens,[status(thm)],[33651, 33650])).
% 50.37/33.47 tff(33653,plain,
% 50.37/33.47 (~v238(constB37)),
% 50.37/33.47 inference(unit_resolution,[status(thm)],[33652, 10318, 33649])).
% 50.37/33.47 tff(33654,plain,
% 50.37/33.47 (((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB37) | (~v237(constB37)))) <=> ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB37) | (~v237(constB37)))),
% 50.37/33.47 inference(rewrite,[status(thm)],[])).
% 50.37/33.47 tff(33655,plain,
% 50.37/33.47 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | (v238(constB37) | (~v237(constB37)))),
% 50.37/33.47 inference(quant_inst,[status(thm)],[])).
% 50.37/33.47 tff(33656,plain,
% 50.37/33.47 ((~![VarCurr: $i] : (v238(VarCurr) | (~v237(VarCurr)))) | v238(constB37) | (~v237(constB37))),
% 50.37/33.47 inference(modus_ponens,[status(thm)],[33655, 33654])).
% 50.37/33.47 tff(33657,plain,
% 50.37/33.47 (~v237(constB37)),
% 50.37/33.47 inference(unit_resolution,[status(thm)],[33656, 10329, 33653])).
% 50.37/33.47 tff(33658,plain,
% 50.37/33.47 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB37)) | v223(constB37, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB37)) | v223(constB37, bitIndex2))),
% 50.37/33.47 inference(rewrite,[status(thm)],[])).
% 50.37/33.47 tff(33659,plain,
% 50.37/33.47 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB37)) | v223(constB37, bitIndex2))),
% 50.37/33.47 inference(quant_inst,[status(thm)],[])).
% 50.37/33.47 tff(33660,plain,
% 50.37/33.47 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB37)) | v223(constB37, bitIndex2)),
% 50.37/33.47 inference(modus_ponens,[status(thm)],[33659, 33658])).
% 50.37/33.47 tff(33661,plain,
% 50.37/33.47 (~v224(constB37)),
% 50.37/33.47 inference(unit_resolution,[status(thm)],[33660, 10343, 33644])).
% 50.37/33.47 tff(33662,plain,
% 50.37/33.47 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB37)) | v223(constB37, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB37)) | v223(constB37, bitIndex1))),
% 50.37/33.47 inference(rewrite,[status(thm)],[])).
% 50.37/33.47 tff(33663,plain,
% 50.37/33.47 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB37)) | v223(constB37, bitIndex1))),
% 50.37/33.47 inference(quant_inst,[status(thm)],[])).
% 50.37/33.47 tff(33664,plain,
% 50.37/33.47 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB37)) | v223(constB37, bitIndex1)),
% 50.37/33.47 inference(modus_ponens,[status(thm)],[33663, 33662])).
% 50.37/33.47 tff(33665,plain,
% 50.37/33.47 (~v222(constB37)),
% 50.37/33.47 inference(unit_resolution,[status(thm)],[33664, 8954, 33617])).
% 50.37/33.47 tff(33666,plain,
% 50.37/33.47 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB37) | v224(constB37) | (~v236(constB37)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB37) | v224(constB37) | (~v236(constB37)))),
% 50.37/33.47 inference(rewrite,[status(thm)],[])).
% 50.37/33.47 tff(33667,plain,
% 50.37/33.47 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB37) | v224(constB37) | (~v236(constB37)))),
% 50.37/33.47 inference(quant_inst,[status(thm)],[])).
% 50.37/33.47 tff(33668,plain,
% 50.37/33.47 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB37) | v224(constB37) | (~v236(constB37))),
% 50.37/33.47 inference(modus_ponens,[status(thm)],[33667, 33666])).
% 50.37/33.47 tff(33669,plain,
% 50.37/33.47 (~v236(constB37)),
% 50.37/33.47 inference(unit_resolution,[status(thm)],[33668, 8968, 33665, 33661])).
% 50.37/33.47 tff(33670,plain,
% 50.37/33.47 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB37) | (~v232(constB37)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB37) | (~v232(constB37)))),
% 50.37/33.47 inference(rewrite,[status(thm)],[])).
% 50.37/33.47 tff(33671,plain,
% 50.37/33.47 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB37) | (~v232(constB37)))),
% 50.37/33.47 inference(quant_inst,[status(thm)],[])).
% 50.37/33.47 tff(33672,plain,
% 50.37/33.47 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB37) | (~v232(constB37))),
% 50.37/33.47 inference(modus_ponens,[status(thm)],[33671, 33670])).
% 50.37/33.47 tff(33673,plain,
% 50.37/33.47 (~v232(constB37)),
% 50.37/33.47 inference(unit_resolution,[status(thm)],[33672, 8980, 33669])).
% 50.37/33.47 tff(33674,plain,
% 50.37/33.47 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v232(constB37) | v237(constB37) | (~v248(constB37)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v232(constB37) | v237(constB37) | (~v248(constB37)))),
% 50.37/33.47 inference(rewrite,[status(thm)],[])).
% 50.37/33.47 tff(33675,plain,
% 50.37/33.47 ((v237(constB37) | v232(constB37) | (~v248(constB37))) <=> (v232(constB37) | v237(constB37) | (~v248(constB37)))),
% 50.37/33.47 inference(rewrite,[status(thm)],[])).
% 50.37/33.47 tff(33676,plain,
% 50.37/33.47 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB37) | v232(constB37) | (~v248(constB37)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v232(constB37) | v237(constB37) | (~v248(constB37))))),
% 50.37/33.47 inference(monotonicity,[status(thm)],[33675])).
% 50.37/33.47 tff(33677,plain,
% 50.37/33.47 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB37) | v232(constB37) | (~v248(constB37)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v232(constB37) | v237(constB37) | (~v248(constB37)))),
% 50.37/33.47 inference(transitivity,[status(thm)],[33676, 33674])).
% 50.37/33.47 tff(33678,plain,
% 50.37/33.47 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB37) | v232(constB37) | (~v248(constB37)))),
% 50.37/33.47 inference(quant_inst,[status(thm)],[])).
% 50.37/33.47 tff(33679,plain,
% 50.37/33.47 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v232(constB37) | v237(constB37) | (~v248(constB37))),
% 50.37/33.47 inference(modus_ponens,[status(thm)],[33678, 33677])).
% 50.37/33.47 tff(33680,plain,
% 50.37/33.47 (v237(constB37) | (~v248(constB37))),
% 50.37/33.47 inference(unit_resolution,[status(thm)],[33679, 9076, 33673])).
% 50.37/33.47 tff(33681,plain,
% 50.37/33.47 (~v248(constB37)),
% 50.37/33.47 inference(unit_resolution,[status(thm)],[33680, 33657])).
% 50.37/33.47 tff(33682,plain,
% 50.37/33.47 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB37) | (~v244(constB37)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB37) | (~v244(constB37)))),
% 50.37/33.47 inference(rewrite,[status(thm)],[])).
% 50.37/33.47 tff(33683,plain,
% 50.37/33.47 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB37) | (~v244(constB37)))),
% 50.37/33.47 inference(quant_inst,[status(thm)],[])).
% 50.37/33.47 tff(33684,plain,
% 50.37/33.47 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB37) | (~v244(constB37))),
% 50.37/33.47 inference(modus_ponens,[status(thm)],[33683, 33682])).
% 50.37/33.48 tff(33685,plain,
% 50.37/33.48 (~v244(constB37)),
% 50.37/33.48 inference(unit_resolution,[status(thm)],[33684, 11335, 33681])).
% 50.37/33.48 tff(33686,plain,
% 50.37/33.48 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB37) | (~v216(constB37, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB37) | (~v216(constB37, bitIndex1)))),
% 50.37/33.48 inference(rewrite,[status(thm)],[])).
% 50.37/33.48 tff(33687,plain,
% 50.37/33.48 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB37) | (~v216(constB37, bitIndex1)))),
% 50.37/33.48 inference(quant_inst,[status(thm)],[])).
% 50.37/33.48 tff(33688,plain,
% 50.37/33.48 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB37) | (~v216(constB37, bitIndex1))),
% 50.37/33.48 inference(modus_ponens,[status(thm)],[33687, 33686])).
% 50.37/33.48 tff(33689,plain,
% 50.37/33.48 (~v216(constB37, bitIndex1)),
% 50.37/33.48 inference(unit_resolution,[status(thm)],[33688, 11346, 33685])).
% 50.37/33.48 tff(33690,plain,
% 50.37/33.48 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB37, bitIndex1) | (~v254(constB37)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB37, bitIndex1) | (~v254(constB37)))),
% 50.37/33.48 inference(rewrite,[status(thm)],[])).
% 50.37/33.48 tff(33691,plain,
% 50.37/33.48 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB37, bitIndex1) | (~v254(constB37)))),
% 50.37/33.48 inference(quant_inst,[status(thm)],[])).
% 50.37/33.48 tff(33692,plain,
% 50.37/33.48 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB37, bitIndex1) | (~v254(constB37))),
% 50.37/33.48 inference(modus_ponens,[status(thm)],[33691, 33690])).
% 50.37/33.48 tff(33693,plain,
% 50.37/33.48 (~v254(constB37)),
% 50.37/33.48 inference(unit_resolution,[status(thm)],[33692, 11357, 33689])).
% 50.37/33.48 tff(33694,plain,
% 50.37/33.48 (((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB37) | (~v231(constB37)))) <=> ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB37) | (~v231(constB37)))),
% 50.37/33.48 inference(rewrite,[status(thm)],[])).
% 50.37/33.48 tff(33695,plain,
% 50.37/33.48 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | (v232(constB37) | (~v231(constB37)))),
% 50.37/33.48 inference(quant_inst,[status(thm)],[])).
% 50.37/33.48 tff(33696,plain,
% 50.37/33.48 ((~![VarCurr: $i] : (v232(VarCurr) | (~v231(VarCurr)))) | v232(constB37) | (~v231(constB37))),
% 50.37/33.48 inference(modus_ponens,[status(thm)],[33695, 33694])).
% 50.37/33.48 tff(33697,plain,
% 50.37/33.48 (~v231(constB37)),
% 50.37/33.48 inference(unit_resolution,[status(thm)],[33696, 24684, 33673])).
% 50.37/33.48 tff(33698,plain,
% 50.37/33.48 (((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB37) | (~v221(constB37)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB37) | (~v221(constB37)))),
% 50.37/33.48 inference(rewrite,[status(thm)],[])).
% 50.37/33.48 tff(33699,plain,
% 50.37/33.48 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB37) | (~v221(constB37)))),
% 50.37/33.48 inference(quant_inst,[status(thm)],[])).
% 50.37/33.48 tff(33700,plain,
% 50.37/33.48 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB37) | (~v221(constB37))),
% 50.37/33.48 inference(modus_ponens,[status(thm)],[33699, 33698])).
% 50.37/33.48 tff(33701,plain,
% 50.37/33.48 (~v221(constB37)),
% 50.37/33.48 inference(unit_resolution,[status(thm)],[33700, 11192, 33665])).
% 50.37/33.48 tff(33702,plain,
% 50.37/33.48 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB37) | v231(constB37) | (~v243(constB37)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB37) | v231(constB37) | (~v243(constB37)))),
% 50.37/33.48 inference(rewrite,[status(thm)],[])).
% 50.37/33.48 tff(33703,plain,
% 50.37/33.48 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB37) | v231(constB37) | (~v243(constB37)))),
% 50.37/33.48 inference(quant_inst,[status(thm)],[])).
% 50.37/33.48 tff(33704,plain,
% 50.37/33.48 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB37) | v231(constB37) | (~v243(constB37))),
% 50.37/33.48 inference(modus_ponens,[status(thm)],[33703, 33702])).
% 50.37/33.48 tff(33705,plain,
% 50.37/33.48 (v231(constB37) | (~v243(constB37))),
% 50.37/33.48 inference(unit_resolution,[status(thm)],[33704, 11206, 33701])).
% 50.37/33.48 tff(33706,plain,
% 50.37/33.48 (~v243(constB37)),
% 50.37/33.48 inference(unit_resolution,[status(thm)],[33705, 33697])).
% 50.37/33.48 tff(33707,plain,
% 50.37/33.48 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB37) | v255(constB37))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB37) | v255(constB37))),
% 50.37/33.48 inference(rewrite,[status(thm)],[])).
% 50.37/33.48 tff(33708,plain,
% 50.37/33.48 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB37) | v255(constB37))),
% 50.37/33.48 inference(quant_inst,[status(thm)],[])).
% 50.37/33.48 tff(33709,plain,
% 50.37/33.48 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB37) | v255(constB37)),
% 50.37/33.48 inference(modus_ponens,[status(thm)],[33708, 33707])).
% 50.37/33.48 tff(33710,plain,
% 50.37/33.48 (v255(constB37)),
% 50.37/33.48 inference(unit_resolution,[status(thm)],[33709, 11222, 33706])).
% 50.37/33.48 tff(33711,plain,
% 50.37/33.48 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB37)) | (~v216(constB37, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB37)) | (~v216(constB37, bitIndex2)))),
% 50.37/33.48 inference(rewrite,[status(thm)],[])).
% 50.37/33.48 tff(33712,plain,
% 50.37/33.48 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB37)) | (~v216(constB37, bitIndex2)))),
% 50.37/33.48 inference(quant_inst,[status(thm)],[])).
% 50.37/33.48 tff(33713,plain,
% 50.37/33.48 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB37)) | (~v216(constB37, bitIndex2))),
% 50.37/33.48 inference(modus_ponens,[status(thm)],[33712, 33711])).
% 50.37/33.48 tff(33714,plain,
% 50.37/33.48 (~v216(constB37, bitIndex2)),
% 50.37/33.48 inference(unit_resolution,[status(thm)],[33713, 11237, 33710])).
% 50.37/33.48 tff(33715,plain,
% 50.37/33.48 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v254(constB37) | v216(constB37, bitIndex2) | (~v215(constB37)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB37) | v216(constB37, bitIndex2) | (~v215(constB37)))),
% 50.37/33.48 inference(rewrite,[status(thm)],[])).
% 50.37/33.48 tff(33716,plain,
% 50.37/33.48 ((v216(constB37, bitIndex2) | v254(constB37) | (~v215(constB37))) <=> (v254(constB37) | v216(constB37, bitIndex2) | (~v215(constB37)))),
% 50.37/33.48 inference(rewrite,[status(thm)],[])).
% 50.37/33.48 tff(33717,plain,
% 50.37/33.48 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB37, bitIndex2) | v254(constB37) | (~v215(constB37)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v254(constB37) | v216(constB37, bitIndex2) | (~v215(constB37))))),
% 50.37/33.48 inference(monotonicity,[status(thm)],[33716])).
% 50.37/33.48 tff(33718,plain,
% 50.37/33.48 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB37, bitIndex2) | v254(constB37) | (~v215(constB37)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB37) | v216(constB37, bitIndex2) | (~v215(constB37)))),
% 50.37/33.48 inference(transitivity,[status(thm)],[33717, 33715])).
% 50.37/33.48 tff(33719,plain,
% 50.37/33.48 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB37, bitIndex2) | v254(constB37) | (~v215(constB37)))),
% 50.37/33.48 inference(quant_inst,[status(thm)],[])).
% 50.37/33.48 tff(33720,plain,
% 50.37/33.48 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB37) | v216(constB37, bitIndex2) | (~v215(constB37))),
% 50.37/33.48 inference(modus_ponens,[status(thm)],[33719, 33718])).
% 50.37/33.48 tff(33721,plain,
% 50.37/33.48 (v254(constB37) | (~v215(constB37))),
% 50.37/33.48 inference(unit_resolution,[status(thm)],[33720, 11278, 33714])).
% 50.37/33.48 tff(33722,plain,
% 50.37/33.48 (~v215(constB37)),
% 50.37/33.48 inference(unit_resolution,[status(thm)],[33721, 33693])).
% 50.37/33.48 tff(33723,plain,
% 50.37/33.48 ($false),
% 50.37/33.48 inference(unit_resolution,[status(thm)],[33722, 33552])).
% 50.37/33.48 tff(33724,plain,(~(constB37 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.37/33.48 tff(33725,assumption,(constB135 = sK0_VarCurr), introduced(assumption)).
% 50.37/33.48 tff(33726,plain,
% 50.37/33.48 (v215(constB135) <=> v215(sK0_VarCurr)),
% 50.37/33.48 inference(monotonicity,[status(thm)],[33725])).
% 50.37/33.48 tff(33727,plain,
% 50.37/33.48 (v215(sK0_VarCurr) <=> v215(constB135)),
% 50.37/33.48 inference(symmetry,[status(thm)],[33726])).
% 50.37/33.48 tff(33728,plain,
% 50.37/33.48 (v215(constB135)),
% 50.37/33.48 inference(modus_ponens,[status(thm)],[11268, 33727])).
% 50.37/33.48 tff(33729,plain,
% 50.37/33.48 (((~![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)))),
% 50.37/33.48 inference(rewrite,[status(thm)],[])).
% 50.37/33.48 tff(33730,plain,
% 50.37/33.48 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB135, bitIndex0) | (~v88(constB135, bitIndex0)))),
% 50.37/33.48 inference(quant_inst,[status(thm)],[])).
% 50.37/33.48 tff(33731,plain,
% 50.37/33.48 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB135, bitIndex0) | (~v88(constB135, bitIndex0))),
% 50.37/33.48 inference(modus_ponens,[status(thm)],[33730, 33729])).
% 50.37/33.48 tff(33732,plain,
% 50.37/33.48 (~v88(constB135, bitIndex0)),
% 50.37/33.48 inference(unit_resolution,[status(thm)],[33731, 10505, 19149])).
% 50.37/33.48 tff(33733,plain,
% 50.37/33.48 (((~![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))),
% 50.37/33.48 inference(rewrite,[status(thm)],[])).
% 50.37/33.48 tff(33734,plain,
% 50.37/33.48 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB135, bitIndex2)) | v88(constB135, bitIndex2))),
% 50.37/33.48 inference(quant_inst,[status(thm)],[])).
% 50.37/33.48 tff(33735,plain,
% 50.37/33.48 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB135, bitIndex2)) | v88(constB135, bitIndex2)),
% 50.37/33.48 inference(modus_ponens,[status(thm)],[33734, 33733])).
% 50.37/33.48 tff(33736,plain,
% 50.37/33.48 (v88(constB135, bitIndex2)),
% 50.37/33.48 inference(unit_resolution,[status(thm)],[33735, 25107, 19084])).
% 50.37/33.48 tff(33737,plain,
% 50.37/33.48 (((~![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))),
% 50.37/33.48 inference(rewrite,[status(thm)],[])).
% 50.37/33.48 tff(33738,plain,
% 50.37/33.48 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB135, bitIndex1)) | v88(constB135, bitIndex1))),
% 50.37/33.48 inference(quant_inst,[status(thm)],[])).
% 50.37/33.48 tff(33739,plain,
% 50.37/33.48 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB135, bitIndex1)) | v88(constB135, bitIndex1)),
% 50.37/33.48 inference(modus_ponens,[status(thm)],[33738, 33737])).
% 50.37/33.48 tff(33740,plain,
% 50.37/33.48 (v88(constB135, bitIndex1)),
% 50.37/33.48 inference(unit_resolution,[status(thm)],[33739, 8707, 19115])).
% 50.37/33.48 tff(33741,plain,
% 50.37/33.48 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB135, bitIndex1)) | (~v88(constB135, bitIndex2)) | v88(constB135, bitIndex0) | v144(constB135))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB135, bitIndex1)) | (~v88(constB135, bitIndex2)) | v88(constB135, bitIndex0) | v144(constB135))),
% 50.37/33.48 inference(rewrite,[status(thm)],[])).
% 50.37/33.48 tff(33742,plain,
% 50.37/33.48 (((~v88(constB135, bitIndex2)) | (~v88(constB135, bitIndex1)) | v88(constB135, bitIndex0) | v144(constB135)) <=> ((~v88(constB135, bitIndex1)) | (~v88(constB135, bitIndex2)) | v88(constB135, bitIndex0) | v144(constB135))),
% 50.37/33.48 inference(rewrite,[status(thm)],[])).
% 50.37/33.48 tff(33743,plain,
% 50.37/33.48 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB135, bitIndex2)) | (~v88(constB135, bitIndex1)) | v88(constB135, bitIndex0) | v144(constB135))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB135, bitIndex1)) | (~v88(constB135, bitIndex2)) | v88(constB135, bitIndex0) | v144(constB135)))),
% 50.37/33.48 inference(monotonicity,[status(thm)],[33742])).
% 50.37/33.48 tff(33744,plain,
% 50.37/33.48 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB135, bitIndex2)) | (~v88(constB135, bitIndex1)) | v88(constB135, bitIndex0) | v144(constB135))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB135, bitIndex1)) | (~v88(constB135, bitIndex2)) | v88(constB135, bitIndex0) | v144(constB135))),
% 50.37/33.48 inference(transitivity,[status(thm)],[33743, 33741])).
% 50.37/33.48 tff(33745,plain,
% 50.37/33.48 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB135, bitIndex2)) | (~v88(constB135, bitIndex1)) | v88(constB135, bitIndex0) | v144(constB135))),
% 50.37/33.48 inference(quant_inst,[status(thm)],[])).
% 50.37/33.48 tff(33746,plain,
% 50.37/33.48 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (~v88(constB135, bitIndex1)) | (~v88(constB135, bitIndex2)) | v88(constB135, bitIndex0) | v144(constB135)),
% 50.37/33.48 inference(modus_ponens,[status(thm)],[33745, 33744])).
% 50.37/33.48 tff(33747,plain,
% 50.37/33.48 (v144(constB135)),
% 50.37/33.48 inference(unit_resolution,[status(thm)],[33746, 25122, 33740, 33736, 33732])).
% 50.37/33.48 tff(33748,plain,
% 50.37/33.48 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB135) | (~v144(constB135)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB135) | (~v144(constB135)))),
% 50.37/33.48 inference(rewrite,[status(thm)],[])).
% 50.37/33.48 tff(33749,plain,
% 50.37/33.48 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB135) | (~v144(constB135)))),
% 50.37/33.48 inference(quant_inst,[status(thm)],[])).
% 50.37/33.48 tff(33750,plain,
% 50.37/33.48 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB135) | (~v144(constB135))),
% 50.37/33.48 inference(modus_ponens,[status(thm)],[33749, 33748])).
% 50.37/33.48 tff(33751,plain,
% 50.37/33.48 (v142(constB135)),
% 50.37/33.48 inference(unit_resolution,[status(thm)],[33750, 25139, 33747])).
% 50.37/33.48 tff(33752,plain,
% 50.37/33.48 (((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB135) | (~v142(constB135)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB135) | (~v142(constB135)))),
% 50.37/33.48 inference(rewrite,[status(thm)],[])).
% 50.37/33.48 tff(33753,plain,
% 50.37/33.48 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB135) | (~v142(constB135)))),
% 50.37/33.48 inference(quant_inst,[status(thm)],[])).
% 50.37/33.48 tff(33754,plain,
% 50.37/33.48 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB135) | (~v142(constB135))),
% 50.37/33.48 inference(modus_ponens,[status(thm)],[33753, 33752])).
% 50.37/33.48 tff(33755,plain,
% 50.37/33.48 (v198(constB135)),
% 50.37/33.48 inference(unit_resolution,[status(thm)],[33754, 10548, 33751])).
% 50.37/33.48 tff(33756,plain,
% 50.37/33.48 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB135)) | (~v201(constB135)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB135)) | (~v201(constB135)))),
% 50.37/33.48 inference(rewrite,[status(thm)],[])).
% 50.37/33.48 tff(33757,plain,
% 50.37/33.48 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB135)) | (~v201(constB135)))),
% 50.37/33.48 inference(quant_inst,[status(thm)],[])).
% 50.37/33.48 tff(33758,plain,
% 50.37/33.48 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB135)) | (~v201(constB135))),
% 50.37/33.48 inference(modus_ponens,[status(thm)],[33757, 33756])).
% 50.37/33.48 tff(33759,plain,
% 50.37/33.48 (~v201(constB135)),
% 50.37/33.48 inference(unit_resolution,[status(thm)],[33758, 8823, 33755])).
% 50.37/33.48 tff(33760,plain,
% 50.37/33.48 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB135) | (~v198(constB135)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB135) | (~v198(constB135)))),
% 50.37/33.48 inference(rewrite,[status(thm)],[])).
% 50.37/33.48 tff(33761,plain,
% 50.37/33.48 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB135) | (~v198(constB135)))),
% 50.37/33.48 inference(quant_inst,[status(thm)],[])).
% 50.37/33.48 tff(33762,plain,
% 50.37/33.48 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB135) | (~v198(constB135))),
% 50.37/33.48 inference(modus_ponens,[status(thm)],[33761, 33760])).
% 50.37/33.48 tff(33763,plain,
% 50.37/33.48 (v197(constB135)),
% 50.37/33.48 inference(unit_resolution,[status(thm)],[33762, 8834, 33755])).
% 50.37/33.48 tff(33764,plain,
% 50.37/33.48 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB135) | v201(constB135) | (~v197(constB135)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB135) | v201(constB135) | (~v197(constB135)))),
% 50.37/33.48 inference(rewrite,[status(thm)],[])).
% 50.37/33.48 tff(33765,plain,
% 50.37/33.48 (((~v197(constB135)) | v201(constB135) | v227(constB135)) <=> (v227(constB135) | v201(constB135) | (~v197(constB135)))),
% 50.37/33.48 inference(rewrite,[status(thm)],[])).
% 50.37/33.48 tff(33766,plain,
% 50.37/33.48 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB135)) | v201(constB135) | v227(constB135))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB135) | v201(constB135) | (~v197(constB135))))),
% 50.37/33.48 inference(monotonicity,[status(thm)],[33765])).
% 50.37/33.48 tff(33767,plain,
% 50.37/33.48 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB135)) | v201(constB135) | v227(constB135))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB135) | v201(constB135) | (~v197(constB135)))),
% 50.37/33.48 inference(transitivity,[status(thm)],[33766, 33764])).
% 50.37/33.48 tff(33768,plain,
% 50.37/33.48 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB135)) | v201(constB135) | v227(constB135))),
% 50.37/33.48 inference(quant_inst,[status(thm)],[])).
% 50.37/33.48 tff(33769,plain,
% 50.37/33.48 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB135) | v201(constB135) | (~v197(constB135))),
% 50.37/33.48 inference(modus_ponens,[status(thm)],[33768, 33767])).
% 50.37/33.48 tff(33770,plain,
% 50.37/33.48 (v227(constB135)),
% 50.37/33.48 inference(unit_resolution,[status(thm)],[33769, 8848, 33763, 33759])).
% 50.37/33.48 tff(33771,plain,
% 50.37/33.48 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB135)) | (~v223(constB135, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB135)) | (~v223(constB135, bitIndex0)))),
% 50.37/33.48 inference(rewrite,[status(thm)],[])).
% 50.37/33.48 tff(33772,plain,
% 50.37/33.48 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB135)) | (~v223(constB135, bitIndex0)))),
% 50.37/33.48 inference(quant_inst,[status(thm)],[])).
% 50.37/33.48 tff(33773,plain,
% 50.37/33.48 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB135)) | (~v223(constB135, bitIndex0))),
% 50.37/33.48 inference(modus_ponens,[status(thm)],[33772, 33771])).
% 50.37/33.48 tff(33774,plain,
% 50.37/33.48 (~v223(constB135, bitIndex0)),
% 50.37/33.48 inference(unit_resolution,[status(thm)],[33773, 8862, 33770])).
% 50.37/33.48 tff(33775,plain,
% 50.37/33.48 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB135, bitIndex0) | (~v222(constB135)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | v223(constB135, bitIndex0) | (~v222(constB135)))),
% 50.37/33.48 inference(rewrite,[status(thm)],[])).
% 50.37/33.48 tff(33776,plain,
% 50.37/33.48 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB135, bitIndex0) | (~v222(constB135)))),
% 50.37/33.48 inference(quant_inst,[status(thm)],[])).
% 50.37/33.48 tff(33777,plain,
% 50.37/33.48 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | v223(constB135, bitIndex0) | (~v222(constB135))),
% 50.37/33.48 inference(modus_ponens,[status(thm)],[33776, 33775])).
% 50.37/33.48 tff(33778,plain,
% 50.37/33.48 (~v222(constB135)),
% 50.37/33.48 inference(unit_resolution,[status(thm)],[33777, 10578, 33774])).
% 50.37/33.48 tff(33779,plain,
% 50.37/33.48 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB135, bitIndex1)) | (~v139(constB135)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB135, bitIndex1)) | (~v139(constB135)))),
% 50.37/33.48 inference(rewrite,[status(thm)],[])).
% 50.37/33.48 tff(33780,plain,
% 50.37/33.48 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB135, bitIndex1)) | (~v139(constB135)))),
% 50.37/33.48 inference(quant_inst,[status(thm)],[])).
% 50.37/33.48 tff(33781,plain,
% 50.37/33.48 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB135, bitIndex1)) | (~v139(constB135))),
% 50.37/33.48 inference(modus_ponens,[status(thm)],[33780, 33779])).
% 50.37/33.48 tff(33782,plain,
% 50.37/33.48 (~v139(constB135)),
% 50.37/33.48 inference(unit_resolution,[status(thm)],[33781, 10589, 33740])).
% 50.37/33.48 tff(33783,plain,
% 50.37/33.48 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB135, bitIndex1)) | (~v140(constB135)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB135, bitIndex1)) | (~v140(constB135)))),
% 50.37/33.48 inference(rewrite,[status(thm)],[])).
% 50.37/33.48 tff(33784,plain,
% 50.37/33.48 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB135, bitIndex1)) | (~v140(constB135)))),
% 50.37/33.48 inference(quant_inst,[status(thm)],[])).
% 50.37/33.48 tff(33785,plain,
% 50.37/33.48 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB135, bitIndex1)) | (~v140(constB135))),
% 50.37/33.48 inference(modus_ponens,[status(thm)],[33784, 33783])).
% 50.37/33.48 tff(33786,plain,
% 50.37/33.48 (~v140(constB135)),
% 50.37/33.48 inference(unit_resolution,[status(thm)],[33785, 9002, 33740])).
% 50.37/33.48 tff(33787,plain,
% 50.37/33.48 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB135) | v139(constB135) | (~v200(constB135)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB135) | v139(constB135) | (~v200(constB135)))),
% 50.37/33.48 inference(rewrite,[status(thm)],[])).
% 50.37/33.48 tff(33788,plain,
% 50.37/33.48 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB135) | v139(constB135) | (~v200(constB135)))),
% 50.37/33.48 inference(quant_inst,[status(thm)],[])).
% 50.37/33.48 tff(33789,plain,
% 50.37/33.48 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB135) | v139(constB135) | (~v200(constB135))),
% 50.37/33.48 inference(modus_ponens,[status(thm)],[33788, 33787])).
% 50.37/33.48 tff(33790,plain,
% 50.37/33.48 (~v200(constB135)),
% 50.37/33.48 inference(unit_resolution,[status(thm)],[33789, 10610, 33786, 33782])).
% 50.37/33.48 tff(33791,plain,
% 50.37/33.48 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB135, bitIndex2)) | (~v141(constB135)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB135, bitIndex2)) | (~v141(constB135)))),
% 50.37/33.48 inference(rewrite,[status(thm)],[])).
% 50.37/33.48 tff(33792,plain,
% 50.37/33.48 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB135, bitIndex2)) | (~v141(constB135)))),
% 50.37/33.48 inference(quant_inst,[status(thm)],[])).
% 50.37/33.48 tff(33793,plain,
% 50.37/33.48 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB135, bitIndex2)) | (~v141(constB135))),
% 50.37/33.48 inference(modus_ponens,[status(thm)],[33792, 33791])).
% 50.37/33.48 tff(33794,plain,
% 50.37/33.48 (~v141(constB135)),
% 50.37/33.48 inference(unit_resolution,[status(thm)],[33793, 25200, 33736])).
% 50.37/33.48 tff(33795,plain,
% 50.37/33.48 (((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB135) | v200(constB135) | (~v166(constB135)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB135) | v200(constB135) | (~v166(constB135)))),
% 50.37/33.48 inference(rewrite,[status(thm)],[])).
% 50.37/33.48 tff(33796,plain,
% 50.37/33.48 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB135) | v200(constB135) | (~v166(constB135)))),
% 50.37/33.48 inference(quant_inst,[status(thm)],[])).
% 50.37/33.48 tff(33797,plain,
% 50.37/33.48 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB135) | v200(constB135) | (~v166(constB135))),
% 50.37/33.48 inference(modus_ponens,[status(thm)],[33796, 33795])).
% 50.37/33.48 tff(33798,plain,
% 50.37/33.48 (~v166(constB135)),
% 50.37/33.48 inference(unit_resolution,[status(thm)],[33797, 10638, 33794, 33790])).
% 50.37/33.48 tff(33799,plain,
% 50.37/33.48 (((~![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)))),
% 50.37/33.48 inference(rewrite,[status(thm)],[])).
% 50.37/33.48 tff(33800,plain,
% 50.37/33.48 (((~v197(constB135)) | v166(constB135) | v241(constB135)) <=> (v241(constB135) | v166(constB135) | (~v197(constB135)))),
% 50.37/33.48 inference(rewrite,[status(thm)],[])).
% 50.37/33.48 tff(33801,plain,
% 50.37/33.48 (((~![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))))),
% 50.37/33.48 inference(monotonicity,[status(thm)],[33800])).
% 50.37/33.48 tff(33802,plain,
% 50.37/33.48 (((~![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)))),
% 50.37/33.48 inference(transitivity,[status(thm)],[33801, 33799])).
% 50.37/33.48 tff(33803,plain,
% 50.37/33.48 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB135)) | v166(constB135) | v241(constB135))),
% 50.37/33.48 inference(quant_inst,[status(thm)],[])).
% 50.37/33.48 tff(33804,plain,
% 50.37/33.48 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB135) | v166(constB135) | (~v197(constB135))),
% 50.37/33.48 inference(modus_ponens,[status(thm)],[33803, 33802])).
% 50.37/33.48 tff(33805,plain,
% 50.37/33.48 (v241(constB135) | (~v197(constB135))),
% 50.37/33.48 inference(unit_resolution,[status(thm)],[33804, 10277, 33798])).
% 50.37/33.48 tff(33806,plain,
% 50.37/33.48 (v241(constB135)),
% 50.37/33.48 inference(unit_resolution,[status(thm)],[33805, 33763])).
% 50.37/33.48 tff(33807,plain,
% 50.37/33.48 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB135)) | (~v223(constB135, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB135)) | (~v223(constB135, bitIndex2)))),
% 50.37/33.48 inference(rewrite,[status(thm)],[])).
% 50.37/33.48 tff(33808,plain,
% 50.37/33.48 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB135)) | (~v223(constB135, bitIndex2)))),
% 50.37/33.48 inference(quant_inst,[status(thm)],[])).
% 50.37/33.48 tff(33809,plain,
% 50.37/33.48 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB135)) | (~v223(constB135, bitIndex2))),
% 50.37/33.48 inference(modus_ponens,[status(thm)],[33808, 33807])).
% 50.37/33.48 tff(33810,plain,
% 50.37/33.48 (~v223(constB135, bitIndex2)),
% 50.37/33.48 inference(unit_resolution,[status(thm)],[33809, 10292, 33806])).
% 50.37/33.48 tff(33811,plain,
% 50.37/33.48 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB135)) | v223(constB135, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB135)) | v223(constB135, bitIndex2))),
% 50.37/33.48 inference(rewrite,[status(thm)],[])).
% 50.37/33.48 tff(33812,plain,
% 50.37/33.48 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB135)) | v223(constB135, bitIndex2))),
% 50.37/33.48 inference(quant_inst,[status(thm)],[])).
% 50.37/33.48 tff(33813,plain,
% 50.37/33.48 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB135)) | v223(constB135, bitIndex2)),
% 50.37/33.48 inference(modus_ponens,[status(thm)],[33812, 33811])).
% 50.37/33.48 tff(33814,plain,
% 50.37/33.48 (~v224(constB135)),
% 50.37/33.48 inference(unit_resolution,[status(thm)],[33813, 10343, 33810])).
% 50.37/33.48 tff(33815,plain,
% 50.37/33.48 (((~![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)))),
% 50.37/33.48 inference(rewrite,[status(thm)],[])).
% 50.37/33.48 tff(33816,plain,
% 50.37/33.48 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB135) | v224(constB135) | (~v236(constB135)))),
% 50.37/33.48 inference(quant_inst,[status(thm)],[])).
% 50.37/33.48 tff(33817,plain,
% 50.37/33.48 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB135) | v224(constB135) | (~v236(constB135))),
% 50.37/33.48 inference(modus_ponens,[status(thm)],[33816, 33815])).
% 50.37/33.48 tff(33818,plain,
% 50.37/33.48 (~v236(constB135)),
% 50.37/33.48 inference(unit_resolution,[status(thm)],[33817, 8968, 33814, 33778])).
% 50.37/33.48 tff(33819,plain,
% 50.37/33.48 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB135) | (~v232(constB135)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB135) | (~v232(constB135)))),
% 50.37/33.48 inference(rewrite,[status(thm)],[])).
% 50.37/33.48 tff(33820,plain,
% 50.37/33.48 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB135) | (~v232(constB135)))),
% 50.37/33.48 inference(quant_inst,[status(thm)],[])).
% 50.37/33.48 tff(33821,plain,
% 50.37/33.48 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB135) | (~v232(constB135))),
% 50.37/33.48 inference(modus_ponens,[status(thm)],[33820, 33819])).
% 50.37/33.48 tff(33822,plain,
% 50.37/33.48 (~v232(constB135)),
% 50.37/33.48 inference(unit_resolution,[status(thm)],[33821, 8980, 33818])).
% 50.37/33.48 tff(33823,plain,
% 50.37/33.48 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB135) | v139(constB135) | (~v148(constB135)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB135) | v139(constB135) | (~v148(constB135)))),
% 50.37/33.48 inference(rewrite,[status(thm)],[])).
% 50.37/33.48 tff(33824,plain,
% 50.37/33.48 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB135) | v139(constB135) | (~v148(constB135)))),
% 50.37/33.48 inference(quant_inst,[status(thm)],[])).
% 50.37/33.48 tff(33825,plain,
% 50.37/33.48 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB135) | v139(constB135) | (~v148(constB135))),
% 50.37/33.48 inference(modus_ponens,[status(thm)],[33824, 33823])).
% 50.37/33.48 tff(33826,plain,
% 50.37/33.48 (~v148(constB135)),
% 50.37/33.48 inference(unit_resolution,[status(thm)],[33825, 9016, 33786, 33782])).
% 50.37/33.48 tff(33827,plain,
% 50.37/33.48 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB135) | v148(constB135) | (~v197(constB135)))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB135) | v148(constB135) | (~v197(constB135)))),
% 50.37/33.48 inference(rewrite,[status(thm)],[])).
% 50.37/33.48 tff(33828,plain,
% 50.37/33.48 ((v148(constB135) | (~v197(constB135)) | v252(constB135)) <=> (v252(constB135) | v148(constB135) | (~v197(constB135)))),
% 50.37/33.48 inference(rewrite,[status(thm)],[])).
% 50.37/33.48 tff(33829,plain,
% 50.37/33.48 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB135) | (~v197(constB135)) | v252(constB135))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB135) | v148(constB135) | (~v197(constB135))))),
% 50.37/33.48 inference(monotonicity,[status(thm)],[33828])).
% 50.37/33.48 tff(33830,plain,
% 50.37/33.48 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB135) | (~v197(constB135)) | v252(constB135))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB135) | v148(constB135) | (~v197(constB135)))),
% 50.37/33.48 inference(transitivity,[status(thm)],[33829, 33827])).
% 50.37/33.48 tff(33831,plain,
% 50.37/33.48 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB135) | (~v197(constB135)) | v252(constB135))),
% 50.37/33.48 inference(quant_inst,[status(thm)],[])).
% 50.37/33.48 tff(33832,plain,
% 50.37/33.48 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB135) | v148(constB135) | (~v197(constB135))),
% 50.37/33.48 inference(modus_ponens,[status(thm)],[33831, 33830])).
% 50.37/33.48 tff(33833,plain,
% 50.37/33.48 (v252(constB135) | (~v197(constB135))),
% 50.37/33.48 inference(unit_resolution,[status(thm)],[33832, 9033, 33826])).
% 50.37/33.48 tff(33834,plain,
% 50.37/33.48 (v252(constB135)),
% 50.37/33.48 inference(unit_resolution,[status(thm)],[33833, 33763])).
% 50.37/33.48 tff(33835,plain,
% 50.37/33.48 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB135)) | (~v223(constB135, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB135)) | (~v223(constB135, bitIndex3)))),
% 50.37/33.48 inference(rewrite,[status(thm)],[])).
% 50.37/33.48 tff(33836,plain,
% 50.37/33.48 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB135)) | (~v223(constB135, bitIndex3)))),
% 50.37/33.48 inference(quant_inst,[status(thm)],[])).
% 50.37/33.48 tff(33837,plain,
% 50.37/33.48 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB135)) | (~v223(constB135, bitIndex3))),
% 50.37/33.48 inference(modus_ponens,[status(thm)],[33836, 33835])).
% 50.37/33.48 tff(33838,plain,
% 50.37/33.48 (~v223(constB135, bitIndex3)),
% 50.37/33.48 inference(unit_resolution,[status(thm)],[33837, 9048, 33834])).
% 50.37/33.48 tff(33839,plain,
% 50.37/33.48 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB135)) | v223(constB135, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB135)) | v223(constB135, bitIndex3))),
% 50.37/33.48 inference(rewrite,[status(thm)],[])).
% 50.37/33.48 tff(33840,plain,
% 50.37/33.48 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB135)) | v223(constB135, bitIndex3))),
% 50.37/33.48 inference(quant_inst,[status(thm)],[])).
% 50.37/33.48 tff(33841,plain,
% 50.37/33.48 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB135)) | v223(constB135, bitIndex3)),
% 50.37/33.48 inference(modus_ponens,[status(thm)],[33840, 33839])).
% 50.37/33.48 tff(33842,plain,
% 50.37/33.48 (~v237(constB135)),
% 50.37/33.48 inference(unit_resolution,[status(thm)],[33841, 9062, 33838])).
% 50.37/33.48 tff(33843,plain,
% 50.37/33.48 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v232(constB135) | (~v248(constB135)) | v237(constB135))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v232(constB135) | (~v248(constB135)) | v237(constB135))),
% 50.37/33.48 inference(rewrite,[status(thm)],[])).
% 50.37/33.48 tff(33844,plain,
% 50.37/33.48 ((v237(constB135) | v232(constB135) | (~v248(constB135))) <=> (v232(constB135) | (~v248(constB135)) | v237(constB135))),
% 50.37/33.48 inference(rewrite,[status(thm)],[])).
% 50.37/33.48 tff(33845,plain,
% 50.37/33.48 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB135) | v232(constB135) | (~v248(constB135)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v232(constB135) | (~v248(constB135)) | v237(constB135)))),
% 50.37/33.48 inference(monotonicity,[status(thm)],[33844])).
% 50.37/33.48 tff(33846,plain,
% 50.37/33.48 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB135) | v232(constB135) | (~v248(constB135)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v232(constB135) | (~v248(constB135)) | v237(constB135))),
% 50.37/33.48 inference(transitivity,[status(thm)],[33845, 33843])).
% 50.37/33.48 tff(33847,plain,
% 50.37/33.48 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB135) | v232(constB135) | (~v248(constB135)))),
% 50.37/33.48 inference(quant_inst,[status(thm)],[])).
% 50.37/33.48 tff(33848,plain,
% 50.37/33.48 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v232(constB135) | (~v248(constB135)) | v237(constB135)),
% 50.37/33.48 inference(modus_ponens,[status(thm)],[33847, 33846])).
% 50.37/33.48 tff(33849,plain,
% 50.37/33.48 (v232(constB135) | (~v248(constB135))),
% 50.37/33.48 inference(unit_resolution,[status(thm)],[33848, 9076, 33842])).
% 50.37/33.48 tff(33850,plain,
% 50.37/33.48 (~v248(constB135)),
% 50.37/33.48 inference(unit_resolution,[status(thm)],[33849, 33822])).
% 50.37/33.48 tff(33851,plain,
% 50.37/33.48 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB135) | (~v244(constB135)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB135) | (~v244(constB135)))),
% 50.37/33.48 inference(rewrite,[status(thm)],[])).
% 50.37/33.48 tff(33852,plain,
% 50.37/33.48 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB135) | (~v244(constB135)))),
% 50.37/33.48 inference(quant_inst,[status(thm)],[])).
% 50.37/33.48 tff(33853,plain,
% 50.37/33.48 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB135) | (~v244(constB135))),
% 50.37/33.48 inference(modus_ponens,[status(thm)],[33852, 33851])).
% 50.37/33.48 tff(33854,plain,
% 50.37/33.48 (~v244(constB135)),
% 50.37/33.48 inference(unit_resolution,[status(thm)],[33853, 11335, 33850])).
% 50.37/33.48 tff(33855,plain,
% 50.37/33.48 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB135) | (~v216(constB135, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB135) | (~v216(constB135, bitIndex1)))),
% 50.37/33.48 inference(rewrite,[status(thm)],[])).
% 50.37/33.48 tff(33856,plain,
% 50.37/33.48 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB135) | (~v216(constB135, bitIndex1)))),
% 50.37/33.48 inference(quant_inst,[status(thm)],[])).
% 50.37/33.48 tff(33857,plain,
% 50.37/33.48 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB135) | (~v216(constB135, bitIndex1))),
% 50.37/33.48 inference(modus_ponens,[status(thm)],[33856, 33855])).
% 50.37/33.48 tff(33858,plain,
% 50.37/33.48 (~v216(constB135, bitIndex1)),
% 50.37/33.48 inference(unit_resolution,[status(thm)],[33857, 11346, 33854])).
% 50.37/33.48 tff(33859,plain,
% 50.37/33.48 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB135, bitIndex1) | (~v254(constB135)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB135, bitIndex1) | (~v254(constB135)))),
% 50.37/33.49 inference(rewrite,[status(thm)],[])).
% 50.37/33.49 tff(33860,plain,
% 50.37/33.49 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB135, bitIndex1) | (~v254(constB135)))),
% 50.37/33.49 inference(quant_inst,[status(thm)],[])).
% 50.37/33.49 tff(33861,plain,
% 50.37/33.49 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB135, bitIndex1) | (~v254(constB135))),
% 50.37/33.49 inference(modus_ponens,[status(thm)],[33860, 33859])).
% 50.37/33.49 tff(33862,plain,
% 50.37/33.49 (~v254(constB135)),
% 50.37/33.49 inference(unit_resolution,[status(thm)],[33861, 11357, 33858])).
% 50.37/33.49 tff(33863,plain,
% 50.37/33.49 (((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB135) | (~v221(constB135)))) <=> ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB135) | (~v221(constB135)))),
% 50.37/33.49 inference(rewrite,[status(thm)],[])).
% 50.37/33.49 tff(33864,plain,
% 50.37/33.49 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB135) | (~v221(constB135)))),
% 50.37/33.49 inference(quant_inst,[status(thm)],[])).
% 50.37/33.49 tff(33865,plain,
% 50.37/33.49 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB135) | (~v221(constB135))),
% 50.37/33.49 inference(modus_ponens,[status(thm)],[33864, 33863])).
% 50.37/33.49 tff(33866,plain,
% 50.37/33.49 (~v221(constB135)),
% 50.37/33.49 inference(unit_resolution,[status(thm)],[33865, 11505, 33814])).
% 50.37/33.49 tff(33867,plain,
% 50.37/33.49 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB135) | (~v231(constB135)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB135) | (~v231(constB135)))),
% 50.37/33.49 inference(rewrite,[status(thm)],[])).
% 50.37/33.49 tff(33868,plain,
% 50.37/33.49 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB135) | (~v231(constB135)))),
% 50.37/33.49 inference(quant_inst,[status(thm)],[])).
% 50.37/33.49 tff(33869,plain,
% 50.37/33.49 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB135) | (~v231(constB135))),
% 50.37/33.49 inference(modus_ponens,[status(thm)],[33868, 33867])).
% 50.37/33.49 tff(33870,plain,
% 50.37/33.49 (~v231(constB135)),
% 50.37/33.49 inference(unit_resolution,[status(thm)],[33869, 11162, 33842])).
% 50.37/33.49 tff(33871,plain,
% 50.37/33.49 (((~![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)))),
% 50.37/33.49 inference(rewrite,[status(thm)],[])).
% 50.37/33.49 tff(33872,plain,
% 50.37/33.49 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB135) | v231(constB135) | (~v243(constB135)))),
% 50.37/33.49 inference(quant_inst,[status(thm)],[])).
% 50.37/33.49 tff(33873,plain,
% 50.37/33.49 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB135) | v231(constB135) | (~v243(constB135))),
% 50.37/33.49 inference(modus_ponens,[status(thm)],[33872, 33871])).
% 50.37/33.49 tff(33874,plain,
% 50.37/33.49 (~v243(constB135)),
% 50.37/33.49 inference(unit_resolution,[status(thm)],[33873, 11206, 33870, 33866])).
% 50.37/33.49 tff(33875,plain,
% 50.37/33.49 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB135) | v255(constB135))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB135) | v255(constB135))),
% 50.37/33.49 inference(rewrite,[status(thm)],[])).
% 50.37/33.49 tff(33876,plain,
% 50.37/33.49 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB135) | v255(constB135))),
% 50.37/33.49 inference(quant_inst,[status(thm)],[])).
% 50.37/33.49 tff(33877,plain,
% 50.37/33.49 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB135) | v255(constB135)),
% 50.37/33.49 inference(modus_ponens,[status(thm)],[33876, 33875])).
% 50.37/33.49 tff(33878,plain,
% 50.37/33.49 (v255(constB135)),
% 50.37/33.49 inference(unit_resolution,[status(thm)],[33877, 11222, 33874])).
% 50.37/33.49 tff(33879,plain,
% 50.37/33.49 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB135)) | (~v216(constB135, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB135)) | (~v216(constB135, bitIndex2)))),
% 50.37/33.49 inference(rewrite,[status(thm)],[])).
% 50.37/33.49 tff(33880,plain,
% 50.37/33.49 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB135)) | (~v216(constB135, bitIndex2)))),
% 50.37/33.49 inference(quant_inst,[status(thm)],[])).
% 50.37/33.49 tff(33881,plain,
% 50.37/33.49 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB135)) | (~v216(constB135, bitIndex2))),
% 50.37/33.49 inference(modus_ponens,[status(thm)],[33880, 33879])).
% 50.37/33.49 tff(33882,plain,
% 50.37/33.49 (~v216(constB135, bitIndex2)),
% 50.37/33.49 inference(unit_resolution,[status(thm)],[33881, 11237, 33878])).
% 50.37/33.49 tff(33883,plain,
% 50.37/33.49 (((~![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))),
% 50.37/33.49 inference(rewrite,[status(thm)],[])).
% 50.37/33.49 tff(33884,plain,
% 50.37/33.49 ((v216(constB135, bitIndex2) | v254(constB135) | (~v215(constB135))) <=> (v216(constB135, bitIndex2) | (~v215(constB135)) | v254(constB135))),
% 50.37/33.49 inference(rewrite,[status(thm)],[])).
% 50.37/33.49 tff(33885,plain,
% 50.37/33.49 (((~![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)))),
% 50.37/33.49 inference(monotonicity,[status(thm)],[33884])).
% 50.37/33.49 tff(33886,plain,
% 50.37/33.49 (((~![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))),
% 50.37/33.49 inference(transitivity,[status(thm)],[33885, 33883])).
% 50.37/33.49 tff(33887,plain,
% 50.37/33.49 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB135, bitIndex2) | v254(constB135) | (~v215(constB135)))),
% 50.37/33.49 inference(quant_inst,[status(thm)],[])).
% 50.37/33.49 tff(33888,plain,
% 50.37/33.49 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB135, bitIndex2) | (~v215(constB135)) | v254(constB135)),
% 50.37/33.49 inference(modus_ponens,[status(thm)],[33887, 33886])).
% 50.37/33.49 tff(33889,plain,
% 50.37/33.49 ((~v215(constB135)) | v254(constB135)),
% 50.37/33.49 inference(unit_resolution,[status(thm)],[33888, 11278, 33882])).
% 50.37/33.49 tff(33890,plain,
% 50.37/33.49 (~v215(constB135)),
% 50.37/33.49 inference(unit_resolution,[status(thm)],[33889, 33862])).
% 50.37/33.49 tff(33891,plain,
% 50.37/33.49 ($false),
% 50.37/33.49 inference(unit_resolution,[status(thm)],[33890, 33728])).
% 50.37/33.49 tff(33892,plain,(~(constB135 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.37/33.49 tff(33893,assumption,(constB99 = sK0_VarCurr), introduced(assumption)).
% 50.37/33.49 tff(33894,plain,
% 50.37/33.49 (v215(constB99) <=> v215(sK0_VarCurr)),
% 50.37/33.49 inference(monotonicity,[status(thm)],[33893])).
% 50.37/33.49 tff(33895,plain,
% 50.37/33.49 (v215(sK0_VarCurr) <=> v215(constB99)),
% 50.37/33.49 inference(symmetry,[status(thm)],[33894])).
% 50.37/33.49 tff(33896,plain,
% 50.37/33.49 (v215(constB99)),
% 50.37/33.49 inference(modus_ponens,[status(thm)],[11268, 33895])).
% 50.37/33.49 tff(33897,plain,
% 50.37/33.49 (((~![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)))),
% 50.37/33.49 inference(rewrite,[status(thm)],[])).
% 50.37/33.49 tff(33898,plain,
% 50.37/33.49 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB99, bitIndex2) | (~v88(constB99, bitIndex2)))),
% 50.37/33.49 inference(quant_inst,[status(thm)],[])).
% 50.37/33.49 tff(33899,plain,
% 50.37/33.49 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB99, bitIndex2) | (~v88(constB99, bitIndex2))),
% 50.37/33.49 inference(modus_ponens,[status(thm)],[33898, 33897])).
% 50.37/33.49 tff(33900,plain,
% 50.37/33.49 (~v88(constB99, bitIndex2)),
% 50.37/33.49 inference(unit_resolution,[status(thm)],[33899, 8769, 14749])).
% 50.37/33.49 tff(33901,plain,
% 50.37/33.49 (((~![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)))),
% 50.44/33.49 inference(rewrite,[status(thm)],[])).
% 50.44/33.49 tff(33902,plain,
% 50.44/33.49 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB99, bitIndex0) | (~v88(constB99, bitIndex0)))),
% 50.44/33.49 inference(quant_inst,[status(thm)],[])).
% 50.44/33.49 tff(33903,plain,
% 50.44/33.49 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB99, bitIndex0) | (~v88(constB99, bitIndex0))),
% 50.44/33.49 inference(modus_ponens,[status(thm)],[33902, 33901])).
% 50.44/33.49 tff(33904,plain,
% 50.44/33.49 (~v88(constB99, bitIndex0)),
% 50.44/33.49 inference(unit_resolution,[status(thm)],[33903, 10505, 14814])).
% 50.44/33.49 tff(33905,plain,
% 50.44/33.49 (((~![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))),
% 50.44/33.49 inference(rewrite,[status(thm)],[])).
% 50.44/33.49 tff(33906,plain,
% 50.44/33.49 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB99, bitIndex1)) | v88(constB99, bitIndex1))),
% 50.44/33.49 inference(quant_inst,[status(thm)],[])).
% 50.44/33.49 tff(33907,plain,
% 50.44/33.49 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB99, bitIndex1)) | v88(constB99, bitIndex1)),
% 50.44/33.49 inference(modus_ponens,[status(thm)],[33906, 33905])).
% 50.44/33.49 tff(33908,plain,
% 50.44/33.49 (v88(constB99, bitIndex1)),
% 50.44/33.49 inference(unit_resolution,[status(thm)],[33907, 8707, 14780])).
% 50.44/33.49 tff(33909,plain,
% 50.44/33.49 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | ((~v88(constB99, bitIndex1)) | v88(constB99, bitIndex2) | v88(constB99, bitIndex0) | v143(constB99))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB99, bitIndex1)) | v88(constB99, bitIndex2) | v88(constB99, bitIndex0) | v143(constB99))),
% 50.44/33.49 inference(rewrite,[status(thm)],[])).
% 50.44/33.49 tff(33910,plain,
% 50.44/33.49 ((v88(constB99, bitIndex2) | (~v88(constB99, bitIndex1)) | v88(constB99, bitIndex0) | v143(constB99)) <=> ((~v88(constB99, bitIndex1)) | v88(constB99, bitIndex2) | v88(constB99, bitIndex0) | v143(constB99))),
% 50.44/33.49 inference(rewrite,[status(thm)],[])).
% 50.44/33.49 tff(33911,plain,
% 50.44/33.49 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB99, bitIndex2) | (~v88(constB99, bitIndex1)) | v88(constB99, bitIndex0) | v143(constB99))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | ((~v88(constB99, bitIndex1)) | v88(constB99, bitIndex2) | v88(constB99, bitIndex0) | v143(constB99)))),
% 50.44/33.49 inference(monotonicity,[status(thm)],[33910])).
% 50.44/33.49 tff(33912,plain,
% 50.44/33.49 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB99, bitIndex2) | (~v88(constB99, bitIndex1)) | v88(constB99, bitIndex0) | v143(constB99))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB99, bitIndex1)) | v88(constB99, bitIndex2) | v88(constB99, bitIndex0) | v143(constB99))),
% 50.44/33.49 inference(transitivity,[status(thm)],[33911, 33909])).
% 50.44/33.49 tff(33913,plain,
% 50.44/33.49 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB99, bitIndex2) | (~v88(constB99, bitIndex1)) | v88(constB99, bitIndex0) | v143(constB99))),
% 50.44/33.49 inference(quant_inst,[status(thm)],[])).
% 50.44/33.49 tff(33914,plain,
% 50.44/33.49 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (~v88(constB99, bitIndex1)) | v88(constB99, bitIndex2) | v88(constB99, bitIndex0) | v143(constB99)),
% 50.44/33.49 inference(modus_ponens,[status(thm)],[33913, 33912])).
% 50.44/33.49 tff(33915,plain,
% 50.44/33.49 (v143(constB99)),
% 50.44/33.49 inference(unit_resolution,[status(thm)],[33914, 10523, 33908, 33904, 33900])).
% 50.44/33.49 tff(33916,plain,
% 50.44/33.49 (((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB99) | (~v143(constB99)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB99) | (~v143(constB99)))),
% 50.44/33.49 inference(rewrite,[status(thm)],[])).
% 50.44/33.49 tff(33917,plain,
% 50.44/33.49 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB99) | (~v143(constB99)))),
% 50.44/33.49 inference(quant_inst,[status(thm)],[])).
% 50.44/33.49 tff(33918,plain,
% 50.44/33.49 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB99) | (~v143(constB99))),
% 50.44/33.49 inference(modus_ponens,[status(thm)],[33917, 33916])).
% 50.44/33.49 tff(33919,plain,
% 50.44/33.49 (v142(constB99)),
% 50.44/33.49 inference(unit_resolution,[status(thm)],[33918, 10537, 33915])).
% 50.44/33.49 tff(33920,plain,
% 50.44/33.49 (((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB99) | (~v142(constB99)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB99) | (~v142(constB99)))),
% 50.44/33.49 inference(rewrite,[status(thm)],[])).
% 50.44/33.49 tff(33921,plain,
% 50.44/33.49 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB99) | (~v142(constB99)))),
% 50.44/33.49 inference(quant_inst,[status(thm)],[])).
% 50.44/33.49 tff(33922,plain,
% 50.44/33.49 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB99) | (~v142(constB99))),
% 50.44/33.49 inference(modus_ponens,[status(thm)],[33921, 33920])).
% 50.44/33.49 tff(33923,plain,
% 50.44/33.49 (v198(constB99)),
% 50.44/33.49 inference(unit_resolution,[status(thm)],[33922, 10548, 33919])).
% 50.44/33.49 tff(33924,plain,
% 50.44/33.49 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB99)) | (~v201(constB99)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB99)) | (~v201(constB99)))),
% 50.44/33.49 inference(rewrite,[status(thm)],[])).
% 50.44/33.49 tff(33925,plain,
% 50.44/33.49 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB99)) | (~v201(constB99)))),
% 50.44/33.49 inference(quant_inst,[status(thm)],[])).
% 50.44/33.49 tff(33926,plain,
% 50.44/33.49 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB99)) | (~v201(constB99))),
% 50.44/33.49 inference(modus_ponens,[status(thm)],[33925, 33924])).
% 50.44/33.49 tff(33927,plain,
% 50.44/33.49 (~v201(constB99)),
% 50.44/33.49 inference(unit_resolution,[status(thm)],[33926, 8823, 33923])).
% 50.44/33.49 tff(33928,plain,
% 50.44/33.49 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB99) | (~v198(constB99)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB99) | (~v198(constB99)))),
% 50.44/33.49 inference(rewrite,[status(thm)],[])).
% 50.44/33.49 tff(33929,plain,
% 50.44/33.49 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB99) | (~v198(constB99)))),
% 50.44/33.49 inference(quant_inst,[status(thm)],[])).
% 50.44/33.49 tff(33930,plain,
% 50.44/33.49 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB99) | (~v198(constB99))),
% 50.44/33.49 inference(modus_ponens,[status(thm)],[33929, 33928])).
% 50.44/33.49 tff(33931,plain,
% 50.44/33.49 (v197(constB99)),
% 50.44/33.49 inference(unit_resolution,[status(thm)],[33930, 8834, 33923])).
% 50.44/33.49 tff(33932,plain,
% 50.44/33.49 (((~![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))),
% 50.44/33.49 inference(rewrite,[status(thm)],[])).
% 50.44/33.49 tff(33933,plain,
% 50.44/33.49 (((~v197(constB99)) | v201(constB99) | v227(constB99)) <=> (v227(constB99) | (~v197(constB99)) | v201(constB99))),
% 50.44/33.49 inference(rewrite,[status(thm)],[])).
% 50.44/33.49 tff(33934,plain,
% 50.44/33.49 (((~![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)))),
% 50.44/33.49 inference(monotonicity,[status(thm)],[33933])).
% 50.44/33.49 tff(33935,plain,
% 50.44/33.49 (((~![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))),
% 50.44/33.49 inference(transitivity,[status(thm)],[33934, 33932])).
% 50.44/33.49 tff(33936,plain,
% 50.44/33.49 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB99)) | v201(constB99) | v227(constB99))),
% 50.44/33.49 inference(quant_inst,[status(thm)],[])).
% 50.44/33.49 tff(33937,plain,
% 50.44/33.49 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB99) | (~v197(constB99)) | v201(constB99)),
% 50.44/33.49 inference(modus_ponens,[status(thm)],[33936, 33935])).
% 50.44/33.49 tff(33938,plain,
% 50.44/33.49 (v227(constB99)),
% 50.44/33.49 inference(unit_resolution,[status(thm)],[33937, 8848, 33931, 33927])).
% 50.44/33.49 tff(33939,plain,
% 50.44/33.49 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB99)) | (~v223(constB99, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB99)) | (~v223(constB99, bitIndex0)))),
% 50.44/33.49 inference(rewrite,[status(thm)],[])).
% 50.44/33.49 tff(33940,plain,
% 50.44/33.49 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB99)) | (~v223(constB99, bitIndex0)))),
% 50.44/33.49 inference(quant_inst,[status(thm)],[])).
% 50.44/33.49 tff(33941,plain,
% 50.44/33.49 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB99)) | (~v223(constB99, bitIndex0))),
% 50.44/33.49 inference(modus_ponens,[status(thm)],[33940, 33939])).
% 50.44/33.49 tff(33942,plain,
% 50.44/33.49 (~v223(constB99, bitIndex0)),
% 50.44/33.49 inference(unit_resolution,[status(thm)],[33941, 8862, 33938])).
% 50.44/33.49 tff(33943,plain,
% 50.44/33.49 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB99, bitIndex0) | (~v222(constB99)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | v223(constB99, bitIndex0) | (~v222(constB99)))),
% 50.44/33.49 inference(rewrite,[status(thm)],[])).
% 50.44/33.49 tff(33944,plain,
% 50.44/33.49 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB99, bitIndex0) | (~v222(constB99)))),
% 50.44/33.49 inference(quant_inst,[status(thm)],[])).
% 50.44/33.49 tff(33945,plain,
% 50.44/33.49 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | v223(constB99, bitIndex0) | (~v222(constB99))),
% 50.44/33.49 inference(modus_ponens,[status(thm)],[33944, 33943])).
% 50.44/33.49 tff(33946,plain,
% 50.44/33.49 (~v222(constB99)),
% 50.44/33.49 inference(unit_resolution,[status(thm)],[33945, 10578, 33942])).
% 50.44/33.49 tff(33947,plain,
% 50.44/33.49 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB99, bitIndex1)) | (~v139(constB99)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB99, bitIndex1)) | (~v139(constB99)))),
% 50.44/33.49 inference(rewrite,[status(thm)],[])).
% 50.44/33.49 tff(33948,plain,
% 50.44/33.49 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB99, bitIndex1)) | (~v139(constB99)))),
% 50.44/33.49 inference(quant_inst,[status(thm)],[])).
% 50.44/33.49 tff(33949,plain,
% 50.44/33.49 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB99, bitIndex1)) | (~v139(constB99))),
% 50.44/33.49 inference(modus_ponens,[status(thm)],[33948, 33947])).
% 50.44/33.49 tff(33950,plain,
% 50.44/33.49 (~v139(constB99)),
% 50.44/33.49 inference(unit_resolution,[status(thm)],[33949, 10589, 33908])).
% 50.44/33.49 tff(33951,plain,
% 50.44/33.49 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB99, bitIndex1)) | (~v140(constB99)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB99, bitIndex1)) | (~v140(constB99)))),
% 50.44/33.49 inference(rewrite,[status(thm)],[])).
% 50.44/33.49 tff(33952,plain,
% 50.44/33.49 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB99, bitIndex1)) | (~v140(constB99)))),
% 50.44/33.49 inference(quant_inst,[status(thm)],[])).
% 50.44/33.49 tff(33953,plain,
% 50.44/33.49 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB99, bitIndex1)) | (~v140(constB99))),
% 50.44/33.49 inference(modus_ponens,[status(thm)],[33952, 33951])).
% 50.44/33.49 tff(33954,plain,
% 50.44/33.49 (~v140(constB99)),
% 50.44/33.49 inference(unit_resolution,[status(thm)],[33953, 9002, 33908])).
% 50.44/33.49 tff(33955,plain,
% 50.44/33.49 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB99) | v139(constB99) | (~v200(constB99)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB99) | v139(constB99) | (~v200(constB99)))),
% 50.44/33.49 inference(rewrite,[status(thm)],[])).
% 50.44/33.49 tff(33956,plain,
% 50.44/33.49 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB99) | v139(constB99) | (~v200(constB99)))),
% 50.44/33.49 inference(quant_inst,[status(thm)],[])).
% 50.44/33.49 tff(33957,plain,
% 50.44/33.49 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB99) | v139(constB99) | (~v200(constB99))),
% 50.44/33.49 inference(modus_ponens,[status(thm)],[33956, 33955])).
% 50.44/33.49 tff(33958,plain,
% 50.44/33.49 (~v200(constB99)),
% 50.44/33.49 inference(unit_resolution,[status(thm)],[33957, 10610, 33954, 33950])).
% 50.44/33.49 tff(33959,plain,
% 50.44/33.49 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB99, bitIndex0) | (~v141(constB99)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB99, bitIndex0) | (~v141(constB99)))),
% 50.44/33.49 inference(rewrite,[status(thm)],[])).
% 50.44/33.49 tff(33960,plain,
% 50.44/33.49 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB99, bitIndex0) | (~v141(constB99)))),
% 50.44/33.49 inference(quant_inst,[status(thm)],[])).
% 50.44/33.49 tff(33961,plain,
% 50.44/33.49 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB99, bitIndex0) | (~v141(constB99))),
% 50.44/33.49 inference(modus_ponens,[status(thm)],[33960, 33959])).
% 50.44/33.49 tff(33962,plain,
% 50.44/33.49 (~v141(constB99)),
% 50.44/33.49 inference(unit_resolution,[status(thm)],[33961, 10624, 33904])).
% 50.44/33.49 tff(33963,plain,
% 50.44/33.49 (((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB99) | v200(constB99) | (~v166(constB99)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB99) | v200(constB99) | (~v166(constB99)))),
% 50.44/33.49 inference(rewrite,[status(thm)],[])).
% 50.44/33.49 tff(33964,plain,
% 50.44/33.49 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB99) | v200(constB99) | (~v166(constB99)))),
% 50.44/33.49 inference(quant_inst,[status(thm)],[])).
% 50.44/33.49 tff(33965,plain,
% 50.44/33.49 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB99) | v200(constB99) | (~v166(constB99))),
% 50.44/33.49 inference(modus_ponens,[status(thm)],[33964, 33963])).
% 50.44/33.49 tff(33966,plain,
% 50.44/33.49 (~v166(constB99)),
% 50.44/33.49 inference(unit_resolution,[status(thm)],[33965, 10638, 33962, 33958])).
% 50.44/33.49 tff(33967,plain,
% 50.44/33.49 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB99) | (~v197(constB99)) | v166(constB99))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB99) | (~v197(constB99)) | v166(constB99))),
% 50.44/33.49 inference(rewrite,[status(thm)],[])).
% 50.44/33.49 tff(33968,plain,
% 50.44/33.49 (((~v197(constB99)) | v166(constB99) | v241(constB99)) <=> (v241(constB99) | (~v197(constB99)) | v166(constB99))),
% 50.44/33.49 inference(rewrite,[status(thm)],[])).
% 50.44/33.49 tff(33969,plain,
% 50.44/33.49 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB99)) | v166(constB99) | v241(constB99))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB99) | (~v197(constB99)) | v166(constB99)))),
% 50.44/33.49 inference(monotonicity,[status(thm)],[33968])).
% 50.44/33.49 tff(33970,plain,
% 50.44/33.49 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB99)) | v166(constB99) | v241(constB99))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB99) | (~v197(constB99)) | v166(constB99))),
% 50.44/33.49 inference(transitivity,[status(thm)],[33969, 33967])).
% 50.44/33.49 tff(33971,plain,
% 50.44/33.49 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB99)) | v166(constB99) | v241(constB99))),
% 50.44/33.49 inference(quant_inst,[status(thm)],[])).
% 50.44/33.49 tff(33972,plain,
% 50.44/33.49 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB99) | (~v197(constB99)) | v166(constB99)),
% 50.44/33.49 inference(modus_ponens,[status(thm)],[33971, 33970])).
% 50.44/33.49 tff(33973,plain,
% 50.44/33.49 (v241(constB99) | (~v197(constB99))),
% 50.44/33.49 inference(unit_resolution,[status(thm)],[33972, 10277, 33966])).
% 50.44/33.49 tff(33974,plain,
% 50.44/33.49 (v241(constB99)),
% 50.44/33.49 inference(unit_resolution,[status(thm)],[33973, 33931])).
% 50.44/33.49 tff(33975,plain,
% 50.44/33.49 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB99)) | (~v223(constB99, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB99)) | (~v223(constB99, bitIndex2)))),
% 50.44/33.49 inference(rewrite,[status(thm)],[])).
% 50.44/33.49 tff(33976,plain,
% 50.44/33.49 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB99)) | (~v223(constB99, bitIndex2)))),
% 50.44/33.49 inference(quant_inst,[status(thm)],[])).
% 50.44/33.49 tff(33977,plain,
% 50.44/33.49 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB99)) | (~v223(constB99, bitIndex2))),
% 50.44/33.49 inference(modus_ponens,[status(thm)],[33976, 33975])).
% 50.44/33.49 tff(33978,plain,
% 50.44/33.49 (~v223(constB99, bitIndex2)),
% 50.44/33.49 inference(unit_resolution,[status(thm)],[33977, 10292, 33974])).
% 50.44/33.49 tff(33979,plain,
% 50.44/33.49 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB99)) | v223(constB99, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB99)) | v223(constB99, bitIndex2))),
% 50.44/33.49 inference(rewrite,[status(thm)],[])).
% 50.44/33.49 tff(33980,plain,
% 50.44/33.49 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB99)) | v223(constB99, bitIndex2))),
% 50.44/33.49 inference(quant_inst,[status(thm)],[])).
% 50.44/33.49 tff(33981,plain,
% 50.44/33.49 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB99)) | v223(constB99, bitIndex2)),
% 50.44/33.49 inference(modus_ponens,[status(thm)],[33980, 33979])).
% 50.44/33.49 tff(33982,plain,
% 50.44/33.49 (~v224(constB99)),
% 50.44/33.49 inference(unit_resolution,[status(thm)],[33981, 10343, 33978])).
% 50.44/33.49 tff(33983,plain,
% 50.44/33.49 (((~![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)))),
% 50.44/33.49 inference(rewrite,[status(thm)],[])).
% 50.44/33.49 tff(33984,plain,
% 50.44/33.49 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB99) | v224(constB99) | (~v236(constB99)))),
% 50.44/33.49 inference(quant_inst,[status(thm)],[])).
% 50.44/33.49 tff(33985,plain,
% 50.44/33.49 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB99) | v224(constB99) | (~v236(constB99))),
% 50.44/33.49 inference(modus_ponens,[status(thm)],[33984, 33983])).
% 50.44/33.49 tff(33986,plain,
% 50.44/33.49 (~v236(constB99)),
% 50.44/33.49 inference(unit_resolution,[status(thm)],[33985, 8968, 33982, 33946])).
% 50.44/33.49 tff(33987,plain,
% 50.44/33.49 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB99) | (~v232(constB99)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB99) | (~v232(constB99)))),
% 50.44/33.49 inference(rewrite,[status(thm)],[])).
% 50.44/33.49 tff(33988,plain,
% 50.44/33.49 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB99) | (~v232(constB99)))),
% 50.44/33.49 inference(quant_inst,[status(thm)],[])).
% 50.44/33.49 tff(33989,plain,
% 50.44/33.49 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB99) | (~v232(constB99))),
% 50.44/33.49 inference(modus_ponens,[status(thm)],[33988, 33987])).
% 50.44/33.49 tff(33990,plain,
% 50.44/33.49 (~v232(constB99)),
% 50.44/33.49 inference(unit_resolution,[status(thm)],[33989, 8980, 33986])).
% 50.44/33.49 tff(33991,plain,
% 50.44/33.49 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB99) | v139(constB99) | (~v148(constB99)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB99) | v139(constB99) | (~v148(constB99)))),
% 50.44/33.49 inference(rewrite,[status(thm)],[])).
% 50.44/33.49 tff(33992,plain,
% 50.44/33.49 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB99) | v139(constB99) | (~v148(constB99)))),
% 50.44/33.49 inference(quant_inst,[status(thm)],[])).
% 50.44/33.49 tff(33993,plain,
% 50.44/33.49 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB99) | v139(constB99) | (~v148(constB99))),
% 50.44/33.49 inference(modus_ponens,[status(thm)],[33992, 33991])).
% 50.44/33.49 tff(33994,plain,
% 50.44/33.49 (~v148(constB99)),
% 50.44/33.49 inference(unit_resolution,[status(thm)],[33993, 9016, 33954, 33950])).
% 50.44/33.49 tff(33995,plain,
% 50.44/33.49 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB99) | (~v197(constB99)) | v148(constB99))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB99) | (~v197(constB99)) | v148(constB99))),
% 50.44/33.49 inference(rewrite,[status(thm)],[])).
% 50.44/33.49 tff(33996,plain,
% 50.44/33.49 ((v148(constB99) | (~v197(constB99)) | v252(constB99)) <=> (v252(constB99) | (~v197(constB99)) | v148(constB99))),
% 50.44/33.49 inference(rewrite,[status(thm)],[])).
% 50.44/33.49 tff(33997,plain,
% 50.44/33.49 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB99) | (~v197(constB99)) | v252(constB99))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB99) | (~v197(constB99)) | v148(constB99)))),
% 50.44/33.49 inference(monotonicity,[status(thm)],[33996])).
% 50.44/33.49 tff(33998,plain,
% 50.44/33.49 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB99) | (~v197(constB99)) | v252(constB99))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB99) | (~v197(constB99)) | v148(constB99))),
% 50.44/33.49 inference(transitivity,[status(thm)],[33997, 33995])).
% 50.44/33.49 tff(33999,plain,
% 50.44/33.49 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB99) | (~v197(constB99)) | v252(constB99))),
% 50.44/33.49 inference(quant_inst,[status(thm)],[])).
% 50.44/33.49 tff(34000,plain,
% 50.44/33.49 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB99) | (~v197(constB99)) | v148(constB99)),
% 50.44/33.49 inference(modus_ponens,[status(thm)],[33999, 33998])).
% 50.44/33.49 tff(34001,plain,
% 50.44/33.49 (v252(constB99) | (~v197(constB99))),
% 50.44/33.49 inference(unit_resolution,[status(thm)],[34000, 9033, 33994])).
% 50.44/33.49 tff(34002,plain,
% 50.44/33.49 (v252(constB99)),
% 50.44/33.49 inference(unit_resolution,[status(thm)],[34001, 33931])).
% 50.44/33.49 tff(34003,plain,
% 50.44/33.49 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB99)) | (~v223(constB99, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB99)) | (~v223(constB99, bitIndex3)))),
% 50.44/33.49 inference(rewrite,[status(thm)],[])).
% 50.44/33.49 tff(34004,plain,
% 50.44/33.49 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB99)) | (~v223(constB99, bitIndex3)))),
% 50.44/33.49 inference(quant_inst,[status(thm)],[])).
% 50.44/33.49 tff(34005,plain,
% 50.44/33.49 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB99)) | (~v223(constB99, bitIndex3))),
% 50.44/33.49 inference(modus_ponens,[status(thm)],[34004, 34003])).
% 50.44/33.49 tff(34006,plain,
% 50.44/33.49 (~v223(constB99, bitIndex3)),
% 50.44/33.49 inference(unit_resolution,[status(thm)],[34005, 9048, 34002])).
% 50.44/33.49 tff(34007,plain,
% 50.44/33.49 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB99)) | v223(constB99, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB99)) | v223(constB99, bitIndex3))),
% 50.44/33.49 inference(rewrite,[status(thm)],[])).
% 50.44/33.49 tff(34008,plain,
% 50.44/33.49 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB99)) | v223(constB99, bitIndex3))),
% 50.44/33.49 inference(quant_inst,[status(thm)],[])).
% 50.44/33.49 tff(34009,plain,
% 50.44/33.49 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB99)) | v223(constB99, bitIndex3)),
% 50.44/33.49 inference(modus_ponens,[status(thm)],[34008, 34007])).
% 50.44/33.49 tff(34010,plain,
% 50.44/33.49 (~v237(constB99)),
% 50.44/33.49 inference(unit_resolution,[status(thm)],[34009, 9062, 34006])).
% 50.44/33.49 tff(34011,plain,
% 50.44/33.49 (((~![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)))),
% 50.44/33.49 inference(rewrite,[status(thm)],[])).
% 50.44/33.49 tff(34012,plain,
% 50.44/33.49 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB99) | v232(constB99) | (~v248(constB99)))),
% 50.44/33.49 inference(quant_inst,[status(thm)],[])).
% 50.44/33.49 tff(34013,plain,
% 50.44/33.49 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB99) | v232(constB99) | (~v248(constB99))),
% 50.44/33.49 inference(modus_ponens,[status(thm)],[34012, 34011])).
% 50.44/33.49 tff(34014,plain,
% 50.44/33.49 (v232(constB99) | (~v248(constB99))),
% 50.44/33.49 inference(unit_resolution,[status(thm)],[34013, 9076, 34010])).
% 50.44/33.49 tff(34015,plain,
% 50.44/33.49 (~v248(constB99)),
% 50.44/33.49 inference(unit_resolution,[status(thm)],[34014, 33990])).
% 50.44/33.49 tff(34016,plain,
% 50.44/33.49 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB99) | (~v244(constB99)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB99) | (~v244(constB99)))),
% 50.44/33.49 inference(rewrite,[status(thm)],[])).
% 50.44/33.49 tff(34017,plain,
% 50.44/33.49 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB99) | (~v244(constB99)))),
% 50.44/33.49 inference(quant_inst,[status(thm)],[])).
% 50.44/33.49 tff(34018,plain,
% 50.44/33.49 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB99) | (~v244(constB99))),
% 50.44/33.49 inference(modus_ponens,[status(thm)],[34017, 34016])).
% 50.44/33.49 tff(34019,plain,
% 50.44/33.49 (~v244(constB99)),
% 50.44/33.49 inference(unit_resolution,[status(thm)],[34018, 11335, 34015])).
% 50.44/33.49 tff(34020,plain,
% 50.44/33.49 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB99) | (~v216(constB99, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB99) | (~v216(constB99, bitIndex1)))),
% 50.44/33.49 inference(rewrite,[status(thm)],[])).
% 50.44/33.49 tff(34021,plain,
% 50.44/33.49 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB99) | (~v216(constB99, bitIndex1)))),
% 50.44/33.49 inference(quant_inst,[status(thm)],[])).
% 50.44/33.49 tff(34022,plain,
% 50.44/33.49 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB99) | (~v216(constB99, bitIndex1))),
% 50.44/33.49 inference(modus_ponens,[status(thm)],[34021, 34020])).
% 50.44/33.49 tff(34023,plain,
% 50.44/33.49 (~v216(constB99, bitIndex1)),
% 50.44/33.49 inference(unit_resolution,[status(thm)],[34022, 11346, 34019])).
% 50.44/33.49 tff(34024,plain,
% 50.44/33.49 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB99, bitIndex1) | (~v254(constB99)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB99, bitIndex1) | (~v254(constB99)))),
% 50.44/33.49 inference(rewrite,[status(thm)],[])).
% 50.44/33.49 tff(34025,plain,
% 50.44/33.49 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB99, bitIndex1) | (~v254(constB99)))),
% 50.44/33.49 inference(quant_inst,[status(thm)],[])).
% 50.44/33.49 tff(34026,plain,
% 50.44/33.49 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB99, bitIndex1) | (~v254(constB99))),
% 50.44/33.49 inference(modus_ponens,[status(thm)],[34025, 34024])).
% 50.44/33.49 tff(34027,plain,
% 50.44/33.49 (~v254(constB99)),
% 50.44/33.49 inference(unit_resolution,[status(thm)],[34026, 11357, 34023])).
% 50.44/33.49 tff(34028,plain,
% 50.44/33.49 (((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB99) | (~v221(constB99)))) <=> ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB99) | (~v221(constB99)))),
% 50.44/33.49 inference(rewrite,[status(thm)],[])).
% 50.44/33.49 tff(34029,plain,
% 50.44/33.49 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB99) | (~v221(constB99)))),
% 50.44/33.49 inference(quant_inst,[status(thm)],[])).
% 50.44/33.49 tff(34030,plain,
% 50.44/33.49 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB99) | (~v221(constB99))),
% 50.44/33.49 inference(modus_ponens,[status(thm)],[34029, 34028])).
% 50.44/33.49 tff(34031,plain,
% 50.44/33.49 (~v221(constB99)),
% 50.44/33.49 inference(unit_resolution,[status(thm)],[34030, 11505, 33982])).
% 50.44/33.49 tff(34032,plain,
% 50.44/33.49 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB99) | (~v231(constB99)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB99) | (~v231(constB99)))),
% 50.44/33.49 inference(rewrite,[status(thm)],[])).
% 50.44/33.49 tff(34033,plain,
% 50.44/33.49 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB99) | (~v231(constB99)))),
% 50.44/33.49 inference(quant_inst,[status(thm)],[])).
% 50.44/33.49 tff(34034,plain,
% 50.44/33.49 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB99) | (~v231(constB99))),
% 50.44/33.49 inference(modus_ponens,[status(thm)],[34033, 34032])).
% 50.44/33.49 tff(34035,plain,
% 50.44/33.49 (~v231(constB99)),
% 50.44/33.49 inference(unit_resolution,[status(thm)],[34034, 11162, 34010])).
% 50.44/33.49 tff(34036,plain,
% 50.44/33.49 (((~![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)))),
% 50.44/33.49 inference(rewrite,[status(thm)],[])).
% 50.44/33.49 tff(34037,plain,
% 50.44/33.49 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB99) | v231(constB99) | (~v243(constB99)))),
% 50.44/33.50 inference(quant_inst,[status(thm)],[])).
% 50.44/33.50 tff(34038,plain,
% 50.44/33.50 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB99) | v231(constB99) | (~v243(constB99))),
% 50.44/33.50 inference(modus_ponens,[status(thm)],[34037, 34036])).
% 50.44/33.50 tff(34039,plain,
% 50.44/33.50 (~v243(constB99)),
% 50.44/33.50 inference(unit_resolution,[status(thm)],[34038, 11206, 34035, 34031])).
% 50.44/33.50 tff(34040,plain,
% 50.44/33.50 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB99) | v255(constB99))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB99) | v255(constB99))),
% 50.44/33.50 inference(rewrite,[status(thm)],[])).
% 50.44/33.50 tff(34041,plain,
% 50.44/33.50 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB99) | v255(constB99))),
% 50.44/33.50 inference(quant_inst,[status(thm)],[])).
% 50.44/33.50 tff(34042,plain,
% 50.44/33.50 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB99) | v255(constB99)),
% 50.44/33.50 inference(modus_ponens,[status(thm)],[34041, 34040])).
% 50.44/33.50 tff(34043,plain,
% 50.44/33.50 (v255(constB99)),
% 50.44/33.50 inference(unit_resolution,[status(thm)],[34042, 11222, 34039])).
% 50.44/33.50 tff(34044,plain,
% 50.44/33.50 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB99)) | (~v216(constB99, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB99)) | (~v216(constB99, bitIndex2)))),
% 50.44/33.50 inference(rewrite,[status(thm)],[])).
% 50.44/33.50 tff(34045,plain,
% 50.44/33.50 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB99)) | (~v216(constB99, bitIndex2)))),
% 50.44/33.50 inference(quant_inst,[status(thm)],[])).
% 50.44/33.50 tff(34046,plain,
% 50.44/33.50 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB99)) | (~v216(constB99, bitIndex2))),
% 50.44/33.50 inference(modus_ponens,[status(thm)],[34045, 34044])).
% 50.44/33.50 tff(34047,plain,
% 50.44/33.50 (~v216(constB99, bitIndex2)),
% 50.44/33.50 inference(unit_resolution,[status(thm)],[34046, 11237, 34043])).
% 50.44/33.50 tff(34048,plain,
% 50.44/33.50 (((~![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) | v254(constB99) | (~v215(constB99)))),
% 50.44/33.50 inference(rewrite,[status(thm)],[])).
% 50.44/33.50 tff(34049,plain,
% 50.44/33.50 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB99, bitIndex2) | v254(constB99) | (~v215(constB99)))),
% 50.44/33.50 inference(quant_inst,[status(thm)],[])).
% 50.44/33.50 tff(34050,plain,
% 50.44/33.50 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB99, bitIndex2) | v254(constB99) | (~v215(constB99))),
% 50.44/33.50 inference(modus_ponens,[status(thm)],[34049, 34048])).
% 50.44/33.50 tff(34051,plain,
% 50.44/33.50 (v254(constB99) | (~v215(constB99))),
% 50.44/33.50 inference(unit_resolution,[status(thm)],[34050, 11278, 34047])).
% 50.44/33.50 tff(34052,plain,
% 50.44/33.50 (~v215(constB99)),
% 50.44/33.50 inference(unit_resolution,[status(thm)],[34051, 34027])).
% 50.44/33.50 tff(34053,plain,
% 50.44/33.50 ($false),
% 50.44/33.50 inference(unit_resolution,[status(thm)],[34052, 33896])).
% 50.44/33.50 tff(34054,plain,(~(constB99 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.44/33.50 tff(34055,assumption,(constB159 = sK0_VarCurr), introduced(assumption)).
% 50.44/33.50 tff(34056,plain,
% 50.44/33.50 (v215(constB159) <=> v215(sK0_VarCurr)),
% 50.44/33.50 inference(monotonicity,[status(thm)],[34055])).
% 50.44/33.50 tff(34057,plain,
% 50.44/33.50 (v215(sK0_VarCurr) <=> v215(constB159)),
% 50.44/33.50 inference(symmetry,[status(thm)],[34056])).
% 50.44/33.50 tff(34058,plain,
% 50.44/33.50 (v215(constB159)),
% 50.44/33.50 inference(modus_ponens,[status(thm)],[11268, 34057])).
% 50.44/33.50 tff(34059,plain,
% 50.44/33.50 (((~![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)))),
% 50.44/33.50 inference(rewrite,[status(thm)],[])).
% 50.44/33.50 tff(34060,plain,
% 50.44/33.50 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB159, bitIndex2) | (~v88(constB159, bitIndex2)))),
% 50.44/33.50 inference(quant_inst,[status(thm)],[])).
% 50.44/33.50 tff(34061,plain,
% 50.44/33.50 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB159, bitIndex2) | (~v88(constB159, bitIndex2))),
% 50.44/33.50 inference(modus_ponens,[status(thm)],[34060, 34059])).
% 50.44/33.50 tff(34062,plain,
% 50.44/33.50 (~v88(constB159, bitIndex2)),
% 50.44/33.50 inference(unit_resolution,[status(thm)],[34061, 8769, 21516])).
% 50.44/33.50 tff(34063,plain,
% 50.44/33.50 (((~![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)))),
% 50.44/33.50 inference(rewrite,[status(thm)],[])).
% 50.44/33.50 tff(34064,plain,
% 50.44/33.50 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB159, bitIndex0) | (~v88(constB159, bitIndex0)))),
% 50.44/33.50 inference(quant_inst,[status(thm)],[])).
% 50.44/33.50 tff(34065,plain,
% 50.44/33.50 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB159, bitIndex0) | (~v88(constB159, bitIndex0))),
% 50.44/33.50 inference(modus_ponens,[status(thm)],[34064, 34063])).
% 50.44/33.50 tff(34066,plain,
% 50.44/33.50 (~v88(constB159, bitIndex0)),
% 50.44/33.50 inference(unit_resolution,[status(thm)],[34065, 10505, 21581])).
% 50.44/33.50 tff(34067,plain,
% 50.44/33.50 (((~![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))),
% 50.44/33.50 inference(rewrite,[status(thm)],[])).
% 50.44/33.50 tff(34068,plain,
% 50.44/33.50 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB159, bitIndex1)) | v88(constB159, bitIndex1))),
% 50.44/33.50 inference(quant_inst,[status(thm)],[])).
% 50.44/33.50 tff(34069,plain,
% 50.44/33.50 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB159, bitIndex1)) | v88(constB159, bitIndex1)),
% 50.44/33.50 inference(modus_ponens,[status(thm)],[34068, 34067])).
% 50.44/33.50 tff(34070,plain,
% 50.44/33.50 (v88(constB159, bitIndex1)),
% 50.44/33.50 inference(unit_resolution,[status(thm)],[34069, 8707, 21547])).
% 50.44/33.50 tff(34071,plain,
% 50.44/33.50 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB159, bitIndex0) | (~v88(constB159, bitIndex1)) | v88(constB159, bitIndex2) | v143(constB159))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB159, bitIndex0) | (~v88(constB159, bitIndex1)) | v88(constB159, bitIndex2) | v143(constB159))),
% 50.44/33.50 inference(rewrite,[status(thm)],[])).
% 50.44/33.50 tff(34072,plain,
% 50.44/33.50 ((v88(constB159, bitIndex2) | (~v88(constB159, bitIndex1)) | v88(constB159, bitIndex0) | v143(constB159)) <=> (v88(constB159, bitIndex0) | (~v88(constB159, bitIndex1)) | v88(constB159, bitIndex2) | v143(constB159))),
% 50.44/33.50 inference(rewrite,[status(thm)],[])).
% 50.44/33.50 tff(34073,plain,
% 50.44/33.50 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB159, bitIndex2) | (~v88(constB159, bitIndex1)) | v88(constB159, bitIndex0) | v143(constB159))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB159, bitIndex0) | (~v88(constB159, bitIndex1)) | v88(constB159, bitIndex2) | v143(constB159)))),
% 50.44/33.50 inference(monotonicity,[status(thm)],[34072])).
% 50.44/33.50 tff(34074,plain,
% 50.44/33.50 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB159, bitIndex2) | (~v88(constB159, bitIndex1)) | v88(constB159, bitIndex0) | v143(constB159))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB159, bitIndex0) | (~v88(constB159, bitIndex1)) | v88(constB159, bitIndex2) | v143(constB159))),
% 50.44/33.50 inference(transitivity,[status(thm)],[34073, 34071])).
% 50.44/33.50 tff(34075,plain,
% 50.44/33.50 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB159, bitIndex2) | (~v88(constB159, bitIndex1)) | v88(constB159, bitIndex0) | v143(constB159))),
% 50.44/33.50 inference(quant_inst,[status(thm)],[])).
% 50.44/33.50 tff(34076,plain,
% 50.44/33.50 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB159, bitIndex0) | (~v88(constB159, bitIndex1)) | v88(constB159, bitIndex2) | v143(constB159)),
% 50.44/33.50 inference(modus_ponens,[status(thm)],[34075, 34074])).
% 50.44/33.50 tff(34077,plain,
% 50.44/33.50 (v143(constB159)),
% 50.44/33.50 inference(unit_resolution,[status(thm)],[34076, 10523, 34070, 34066, 34062])).
% 50.44/33.50 tff(34078,plain,
% 50.44/33.50 (((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB159) | (~v143(constB159)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB159) | (~v143(constB159)))),
% 50.44/33.50 inference(rewrite,[status(thm)],[])).
% 50.44/33.50 tff(34079,plain,
% 50.44/33.50 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB159) | (~v143(constB159)))),
% 50.44/33.50 inference(quant_inst,[status(thm)],[])).
% 50.44/33.50 tff(34080,plain,
% 50.44/33.50 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB159) | (~v143(constB159))),
% 50.44/33.50 inference(modus_ponens,[status(thm)],[34079, 34078])).
% 50.44/33.50 tff(34081,plain,
% 50.44/33.50 (v142(constB159)),
% 50.44/33.50 inference(unit_resolution,[status(thm)],[34080, 10537, 34077])).
% 50.44/33.50 tff(34082,plain,
% 50.44/33.50 (((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB159) | (~v142(constB159)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB159) | (~v142(constB159)))),
% 50.44/33.50 inference(rewrite,[status(thm)],[])).
% 50.44/33.50 tff(34083,plain,
% 50.44/33.50 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB159) | (~v142(constB159)))),
% 50.44/33.50 inference(quant_inst,[status(thm)],[])).
% 50.44/33.50 tff(34084,plain,
% 50.44/33.50 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB159) | (~v142(constB159))),
% 50.44/33.50 inference(modus_ponens,[status(thm)],[34083, 34082])).
% 50.44/33.50 tff(34085,plain,
% 50.44/33.50 (v198(constB159)),
% 50.44/33.50 inference(unit_resolution,[status(thm)],[34084, 10548, 34081])).
% 50.44/33.50 tff(34086,plain,
% 50.44/33.50 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB159)) | (~v201(constB159)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB159)) | (~v201(constB159)))),
% 50.44/33.50 inference(rewrite,[status(thm)],[])).
% 50.44/33.50 tff(34087,plain,
% 50.44/33.50 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB159)) | (~v201(constB159)))),
% 50.44/33.50 inference(quant_inst,[status(thm)],[])).
% 50.44/33.50 tff(34088,plain,
% 50.44/33.50 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB159)) | (~v201(constB159))),
% 50.44/33.50 inference(modus_ponens,[status(thm)],[34087, 34086])).
% 50.44/33.50 tff(34089,plain,
% 50.44/33.50 (~v201(constB159)),
% 50.44/33.50 inference(unit_resolution,[status(thm)],[34088, 8823, 34085])).
% 50.44/33.50 tff(34090,plain,
% 50.44/33.50 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB159) | (~v198(constB159)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB159) | (~v198(constB159)))),
% 50.44/33.50 inference(rewrite,[status(thm)],[])).
% 50.44/33.50 tff(34091,plain,
% 50.44/33.50 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB159) | (~v198(constB159)))),
% 50.44/33.50 inference(quant_inst,[status(thm)],[])).
% 50.44/33.50 tff(34092,plain,
% 50.44/33.50 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB159) | (~v198(constB159))),
% 50.44/33.50 inference(modus_ponens,[status(thm)],[34091, 34090])).
% 50.44/33.50 tff(34093,plain,
% 50.44/33.50 (v197(constB159)),
% 50.44/33.50 inference(unit_resolution,[status(thm)],[34092, 8834, 34085])).
% 50.44/33.50 tff(34094,plain,
% 50.44/33.50 (((~![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))),
% 50.44/33.50 inference(rewrite,[status(thm)],[])).
% 50.44/33.50 tff(34095,plain,
% 50.44/33.50 (((~v197(constB159)) | v201(constB159) | v227(constB159)) <=> (v227(constB159) | (~v197(constB159)) | v201(constB159))),
% 50.44/33.50 inference(rewrite,[status(thm)],[])).
% 50.44/33.50 tff(34096,plain,
% 50.44/33.50 (((~![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)))),
% 50.44/33.50 inference(monotonicity,[status(thm)],[34095])).
% 50.44/33.50 tff(34097,plain,
% 50.44/33.50 (((~![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))),
% 50.44/33.50 inference(transitivity,[status(thm)],[34096, 34094])).
% 50.44/33.50 tff(34098,plain,
% 50.44/33.50 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB159)) | v201(constB159) | v227(constB159))),
% 50.44/33.50 inference(quant_inst,[status(thm)],[])).
% 50.44/33.50 tff(34099,plain,
% 50.44/33.50 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB159) | (~v197(constB159)) | v201(constB159)),
% 50.44/33.50 inference(modus_ponens,[status(thm)],[34098, 34097])).
% 50.44/33.50 tff(34100,plain,
% 50.44/33.50 (v227(constB159)),
% 50.44/33.50 inference(unit_resolution,[status(thm)],[34099, 8848, 34093, 34089])).
% 50.44/33.50 tff(34101,plain,
% 50.44/33.50 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB159)) | (~v223(constB159, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB159)) | (~v223(constB159, bitIndex0)))),
% 50.44/33.50 inference(rewrite,[status(thm)],[])).
% 50.44/33.50 tff(34102,plain,
% 50.44/33.50 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB159)) | (~v223(constB159, bitIndex0)))),
% 50.44/33.50 inference(quant_inst,[status(thm)],[])).
% 50.44/33.50 tff(34103,plain,
% 50.44/33.50 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB159)) | (~v223(constB159, bitIndex0))),
% 50.44/33.50 inference(modus_ponens,[status(thm)],[34102, 34101])).
% 50.44/33.50 tff(34104,plain,
% 50.44/33.50 (~v223(constB159, bitIndex0)),
% 50.44/33.50 inference(unit_resolution,[status(thm)],[34103, 8862, 34100])).
% 50.44/33.50 tff(34105,plain,
% 50.44/33.50 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB159, bitIndex0) | (~v222(constB159)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | v223(constB159, bitIndex0) | (~v222(constB159)))),
% 50.44/33.50 inference(rewrite,[status(thm)],[])).
% 50.44/33.50 tff(34106,plain,
% 50.44/33.50 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB159, bitIndex0) | (~v222(constB159)))),
% 50.44/33.50 inference(quant_inst,[status(thm)],[])).
% 50.44/33.50 tff(34107,plain,
% 50.44/33.50 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | v223(constB159, bitIndex0) | (~v222(constB159))),
% 50.44/33.50 inference(modus_ponens,[status(thm)],[34106, 34105])).
% 50.44/33.50 tff(34108,plain,
% 50.44/33.50 (~v222(constB159)),
% 50.44/33.50 inference(unit_resolution,[status(thm)],[34107, 10578, 34104])).
% 50.44/33.50 tff(34109,plain,
% 50.44/33.50 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB159, bitIndex1)) | (~v139(constB159)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB159, bitIndex1)) | (~v139(constB159)))),
% 50.44/33.50 inference(rewrite,[status(thm)],[])).
% 50.44/33.50 tff(34110,plain,
% 50.44/33.50 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB159, bitIndex1)) | (~v139(constB159)))),
% 50.44/33.50 inference(quant_inst,[status(thm)],[])).
% 50.44/33.50 tff(34111,plain,
% 50.44/33.50 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB159, bitIndex1)) | (~v139(constB159))),
% 50.44/33.50 inference(modus_ponens,[status(thm)],[34110, 34109])).
% 50.44/33.50 tff(34112,plain,
% 50.44/33.50 (~v139(constB159)),
% 50.44/33.50 inference(unit_resolution,[status(thm)],[34111, 10589, 34070])).
% 50.44/33.50 tff(34113,plain,
% 50.44/33.50 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB159, bitIndex1)) | (~v140(constB159)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB159, bitIndex1)) | (~v140(constB159)))),
% 50.44/33.50 inference(rewrite,[status(thm)],[])).
% 50.44/33.50 tff(34114,plain,
% 50.44/33.50 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB159, bitIndex1)) | (~v140(constB159)))),
% 50.44/33.50 inference(quant_inst,[status(thm)],[])).
% 50.44/33.50 tff(34115,plain,
% 50.44/33.50 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB159, bitIndex1)) | (~v140(constB159))),
% 50.44/33.50 inference(modus_ponens,[status(thm)],[34114, 34113])).
% 50.44/33.50 tff(34116,plain,
% 50.44/33.50 (~v140(constB159)),
% 50.44/33.50 inference(unit_resolution,[status(thm)],[34115, 9002, 34070])).
% 50.44/33.50 tff(34117,plain,
% 50.44/33.50 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | ((~v200(constB159)) | v140(constB159) | v139(constB159))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (~v200(constB159)) | v140(constB159) | v139(constB159))),
% 50.44/33.50 inference(rewrite,[status(thm)],[])).
% 50.44/33.50 tff(34118,plain,
% 50.44/33.50 ((v140(constB159) | v139(constB159) | (~v200(constB159))) <=> ((~v200(constB159)) | v140(constB159) | v139(constB159))),
% 50.44/33.50 inference(rewrite,[status(thm)],[])).
% 50.44/33.50 tff(34119,plain,
% 50.44/33.50 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB159) | v139(constB159) | (~v200(constB159)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | ((~v200(constB159)) | v140(constB159) | v139(constB159)))),
% 50.44/33.50 inference(monotonicity,[status(thm)],[34118])).
% 50.44/33.50 tff(34120,plain,
% 50.44/33.50 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB159) | v139(constB159) | (~v200(constB159)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (~v200(constB159)) | v140(constB159) | v139(constB159))),
% 50.44/33.50 inference(transitivity,[status(thm)],[34119, 34117])).
% 50.44/33.50 tff(34121,plain,
% 50.44/33.50 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB159) | v139(constB159) | (~v200(constB159)))),
% 50.44/33.50 inference(quant_inst,[status(thm)],[])).
% 50.44/33.50 tff(34122,plain,
% 50.44/33.50 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (~v200(constB159)) | v140(constB159) | v139(constB159)),
% 50.44/33.50 inference(modus_ponens,[status(thm)],[34121, 34120])).
% 50.44/33.50 tff(34123,plain,
% 50.44/33.50 (~v200(constB159)),
% 50.44/33.50 inference(unit_resolution,[status(thm)],[34122, 10610, 34116, 34112])).
% 50.44/33.50 tff(34124,plain,
% 50.44/33.50 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB159, bitIndex0) | (~v141(constB159)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB159, bitIndex0) | (~v141(constB159)))),
% 50.44/33.50 inference(rewrite,[status(thm)],[])).
% 50.44/33.50 tff(34125,plain,
% 50.44/33.50 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB159, bitIndex0) | (~v141(constB159)))),
% 50.44/33.50 inference(quant_inst,[status(thm)],[])).
% 50.44/33.50 tff(34126,plain,
% 50.44/33.50 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB159, bitIndex0) | (~v141(constB159))),
% 50.44/33.50 inference(modus_ponens,[status(thm)],[34125, 34124])).
% 50.44/33.50 tff(34127,plain,
% 50.44/33.50 (~v141(constB159)),
% 50.44/33.50 inference(unit_resolution,[status(thm)],[34126, 10624, 34066])).
% 50.44/33.50 tff(34128,plain,
% 50.44/33.50 (((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB159) | v200(constB159) | (~v166(constB159)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB159) | v200(constB159) | (~v166(constB159)))),
% 50.44/33.50 inference(rewrite,[status(thm)],[])).
% 50.44/33.50 tff(34129,plain,
% 50.44/33.50 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB159) | v200(constB159) | (~v166(constB159)))),
% 50.44/33.50 inference(quant_inst,[status(thm)],[])).
% 50.44/33.50 tff(34130,plain,
% 50.44/33.50 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB159) | v200(constB159) | (~v166(constB159))),
% 50.44/33.50 inference(modus_ponens,[status(thm)],[34129, 34128])).
% 50.44/33.50 tff(34131,plain,
% 50.44/33.50 (~v166(constB159)),
% 50.44/33.50 inference(unit_resolution,[status(thm)],[34130, 10638, 34127, 34123])).
% 50.44/33.50 tff(34132,plain,
% 50.44/33.50 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB159) | (~v197(constB159)) | v166(constB159))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB159) | (~v197(constB159)) | v166(constB159))),
% 50.44/33.50 inference(rewrite,[status(thm)],[])).
% 50.44/33.50 tff(34133,plain,
% 50.44/33.50 (((~v197(constB159)) | v166(constB159) | v241(constB159)) <=> (v241(constB159) | (~v197(constB159)) | v166(constB159))),
% 50.44/33.50 inference(rewrite,[status(thm)],[])).
% 50.44/33.50 tff(34134,plain,
% 50.44/33.50 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB159)) | v166(constB159) | v241(constB159))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB159) | (~v197(constB159)) | v166(constB159)))),
% 50.44/33.50 inference(monotonicity,[status(thm)],[34133])).
% 50.44/33.50 tff(34135,plain,
% 50.44/33.50 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB159)) | v166(constB159) | v241(constB159))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB159) | (~v197(constB159)) | v166(constB159))),
% 50.44/33.50 inference(transitivity,[status(thm)],[34134, 34132])).
% 50.44/33.50 tff(34136,plain,
% 50.44/33.50 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB159)) | v166(constB159) | v241(constB159))),
% 50.44/33.50 inference(quant_inst,[status(thm)],[])).
% 50.44/33.50 tff(34137,plain,
% 50.44/33.50 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB159) | (~v197(constB159)) | v166(constB159)),
% 50.44/33.50 inference(modus_ponens,[status(thm)],[34136, 34135])).
% 50.44/33.50 tff(34138,plain,
% 50.44/33.50 (v241(constB159) | (~v197(constB159))),
% 50.44/33.50 inference(unit_resolution,[status(thm)],[34137, 10277, 34131])).
% 50.44/33.50 tff(34139,plain,
% 50.44/33.50 (v241(constB159)),
% 50.44/33.50 inference(unit_resolution,[status(thm)],[34138, 34093])).
% 50.44/33.50 tff(34140,plain,
% 50.44/33.50 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB159)) | (~v223(constB159, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB159)) | (~v223(constB159, bitIndex2)))),
% 50.44/33.50 inference(rewrite,[status(thm)],[])).
% 50.44/33.50 tff(34141,plain,
% 50.44/33.50 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB159)) | (~v223(constB159, bitIndex2)))),
% 50.44/33.50 inference(quant_inst,[status(thm)],[])).
% 50.44/33.50 tff(34142,plain,
% 50.44/33.50 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB159)) | (~v223(constB159, bitIndex2))),
% 50.44/33.50 inference(modus_ponens,[status(thm)],[34141, 34140])).
% 50.44/33.50 tff(34143,plain,
% 50.44/33.50 (~v223(constB159, bitIndex2)),
% 50.44/33.50 inference(unit_resolution,[status(thm)],[34142, 10292, 34139])).
% 50.44/33.50 tff(34144,plain,
% 50.44/33.50 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB159)) | v223(constB159, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB159)) | v223(constB159, bitIndex2))),
% 50.44/33.50 inference(rewrite,[status(thm)],[])).
% 50.44/33.50 tff(34145,plain,
% 50.44/33.50 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB159)) | v223(constB159, bitIndex2))),
% 50.44/33.50 inference(quant_inst,[status(thm)],[])).
% 50.44/33.50 tff(34146,plain,
% 50.44/33.50 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB159)) | v223(constB159, bitIndex2)),
% 50.44/33.50 inference(modus_ponens,[status(thm)],[34145, 34144])).
% 50.44/33.50 tff(34147,plain,
% 50.44/33.50 (~v224(constB159)),
% 50.44/33.50 inference(unit_resolution,[status(thm)],[34146, 10343, 34143])).
% 50.44/33.50 tff(34148,plain,
% 50.44/33.50 (((~![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)))),
% 50.44/33.50 inference(rewrite,[status(thm)],[])).
% 50.44/33.50 tff(34149,plain,
% 50.44/33.50 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB159) | v224(constB159) | (~v236(constB159)))),
% 50.44/33.50 inference(quant_inst,[status(thm)],[])).
% 50.44/33.50 tff(34150,plain,
% 50.44/33.50 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB159) | v224(constB159) | (~v236(constB159))),
% 50.44/33.50 inference(modus_ponens,[status(thm)],[34149, 34148])).
% 50.44/33.50 tff(34151,plain,
% 50.44/33.50 (~v236(constB159)),
% 50.44/33.50 inference(unit_resolution,[status(thm)],[34150, 8968, 34147, 34108])).
% 50.44/33.50 tff(34152,plain,
% 50.44/33.50 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB159) | (~v232(constB159)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB159) | (~v232(constB159)))),
% 50.44/33.50 inference(rewrite,[status(thm)],[])).
% 50.44/33.50 tff(34153,plain,
% 50.44/33.50 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB159) | (~v232(constB159)))),
% 50.44/33.50 inference(quant_inst,[status(thm)],[])).
% 50.44/33.50 tff(34154,plain,
% 50.44/33.50 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB159) | (~v232(constB159))),
% 50.44/33.50 inference(modus_ponens,[status(thm)],[34153, 34152])).
% 50.44/33.50 tff(34155,plain,
% 50.44/33.50 (~v232(constB159)),
% 50.44/33.50 inference(unit_resolution,[status(thm)],[34154, 8980, 34151])).
% 50.44/33.50 tff(34156,plain,
% 50.44/33.50 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | ((~v148(constB159)) | v140(constB159) | v139(constB159))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (~v148(constB159)) | v140(constB159) | v139(constB159))),
% 50.44/33.50 inference(rewrite,[status(thm)],[])).
% 50.44/33.50 tff(34157,plain,
% 50.44/33.50 ((v140(constB159) | v139(constB159) | (~v148(constB159))) <=> ((~v148(constB159)) | v140(constB159) | v139(constB159))),
% 50.44/33.50 inference(rewrite,[status(thm)],[])).
% 50.44/33.50 tff(34158,plain,
% 50.44/33.50 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB159) | v139(constB159) | (~v148(constB159)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | ((~v148(constB159)) | v140(constB159) | v139(constB159)))),
% 50.44/33.50 inference(monotonicity,[status(thm)],[34157])).
% 50.44/33.50 tff(34159,plain,
% 50.44/33.50 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB159) | v139(constB159) | (~v148(constB159)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (~v148(constB159)) | v140(constB159) | v139(constB159))),
% 50.44/33.50 inference(transitivity,[status(thm)],[34158, 34156])).
% 50.44/33.50 tff(34160,plain,
% 50.44/33.50 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB159) | v139(constB159) | (~v148(constB159)))),
% 50.44/33.50 inference(quant_inst,[status(thm)],[])).
% 50.44/33.50 tff(34161,plain,
% 50.44/33.50 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (~v148(constB159)) | v140(constB159) | v139(constB159)),
% 50.44/33.50 inference(modus_ponens,[status(thm)],[34160, 34159])).
% 50.44/33.50 tff(34162,plain,
% 50.44/33.50 (~v148(constB159)),
% 50.44/33.50 inference(unit_resolution,[status(thm)],[34161, 9016, 34116, 34112])).
% 50.44/33.50 tff(34163,plain,
% 50.44/33.50 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB159) | (~v197(constB159)) | v148(constB159))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB159) | (~v197(constB159)) | v148(constB159))),
% 50.44/33.50 inference(rewrite,[status(thm)],[])).
% 50.44/33.50 tff(34164,plain,
% 50.44/33.50 ((v148(constB159) | (~v197(constB159)) | v252(constB159)) <=> (v252(constB159) | (~v197(constB159)) | v148(constB159))),
% 50.44/33.50 inference(rewrite,[status(thm)],[])).
% 50.44/33.50 tff(34165,plain,
% 50.44/33.50 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB159) | (~v197(constB159)) | v252(constB159))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB159) | (~v197(constB159)) | v148(constB159)))),
% 50.44/33.50 inference(monotonicity,[status(thm)],[34164])).
% 50.44/33.50 tff(34166,plain,
% 50.44/33.50 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB159) | (~v197(constB159)) | v252(constB159))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB159) | (~v197(constB159)) | v148(constB159))),
% 50.44/33.50 inference(transitivity,[status(thm)],[34165, 34163])).
% 50.44/33.50 tff(34167,plain,
% 50.44/33.50 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB159) | (~v197(constB159)) | v252(constB159))),
% 50.44/33.50 inference(quant_inst,[status(thm)],[])).
% 50.44/33.50 tff(34168,plain,
% 50.44/33.50 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB159) | (~v197(constB159)) | v148(constB159)),
% 50.44/33.50 inference(modus_ponens,[status(thm)],[34167, 34166])).
% 50.44/33.50 tff(34169,plain,
% 50.44/33.50 (v252(constB159) | (~v197(constB159))),
% 50.44/33.50 inference(unit_resolution,[status(thm)],[34168, 9033, 34162])).
% 50.44/33.50 tff(34170,plain,
% 50.44/33.50 (v252(constB159)),
% 50.44/33.50 inference(unit_resolution,[status(thm)],[34169, 34093])).
% 50.44/33.50 tff(34171,plain,
% 50.44/33.50 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB159)) | (~v223(constB159, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB159)) | (~v223(constB159, bitIndex3)))),
% 50.44/33.50 inference(rewrite,[status(thm)],[])).
% 50.44/33.50 tff(34172,plain,
% 50.44/33.50 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB159)) | (~v223(constB159, bitIndex3)))),
% 50.44/33.50 inference(quant_inst,[status(thm)],[])).
% 50.44/33.50 tff(34173,plain,
% 50.44/33.50 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB159)) | (~v223(constB159, bitIndex3))),
% 50.44/33.50 inference(modus_ponens,[status(thm)],[34172, 34171])).
% 50.44/33.50 tff(34174,plain,
% 50.44/33.50 (~v223(constB159, bitIndex3)),
% 50.44/33.50 inference(unit_resolution,[status(thm)],[34173, 9048, 34170])).
% 50.44/33.50 tff(34175,plain,
% 50.44/33.50 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB159)) | v223(constB159, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB159)) | v223(constB159, bitIndex3))),
% 50.44/33.50 inference(rewrite,[status(thm)],[])).
% 50.44/33.50 tff(34176,plain,
% 50.44/33.50 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB159)) | v223(constB159, bitIndex3))),
% 50.44/33.50 inference(quant_inst,[status(thm)],[])).
% 50.44/33.50 tff(34177,plain,
% 50.44/33.50 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB159)) | v223(constB159, bitIndex3)),
% 50.44/33.50 inference(modus_ponens,[status(thm)],[34176, 34175])).
% 50.44/33.50 tff(34178,plain,
% 50.44/33.50 (~v237(constB159)),
% 50.44/33.50 inference(unit_resolution,[status(thm)],[34177, 9062, 34174])).
% 50.44/33.50 tff(34179,plain,
% 50.44/33.50 (((~![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)))),
% 50.44/33.50 inference(rewrite,[status(thm)],[])).
% 50.44/33.50 tff(34180,plain,
% 50.44/33.50 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB159) | v232(constB159) | (~v248(constB159)))),
% 50.44/33.50 inference(quant_inst,[status(thm)],[])).
% 50.44/33.50 tff(34181,plain,
% 50.44/33.50 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB159) | v232(constB159) | (~v248(constB159))),
% 50.44/33.50 inference(modus_ponens,[status(thm)],[34180, 34179])).
% 50.44/33.50 tff(34182,plain,
% 50.44/33.50 (v232(constB159) | (~v248(constB159))),
% 50.44/33.50 inference(unit_resolution,[status(thm)],[34181, 9076, 34178])).
% 50.44/33.50 tff(34183,plain,
% 50.44/33.50 (~v248(constB159)),
% 50.44/33.50 inference(unit_resolution,[status(thm)],[34182, 34155])).
% 50.44/33.50 tff(34184,plain,
% 50.44/33.50 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB159) | (~v244(constB159)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB159) | (~v244(constB159)))),
% 50.44/33.50 inference(rewrite,[status(thm)],[])).
% 50.44/33.50 tff(34185,plain,
% 50.44/33.50 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB159) | (~v244(constB159)))),
% 50.44/33.50 inference(quant_inst,[status(thm)],[])).
% 50.44/33.50 tff(34186,plain,
% 50.44/33.50 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB159) | (~v244(constB159))),
% 50.44/33.50 inference(modus_ponens,[status(thm)],[34185, 34184])).
% 50.44/33.50 tff(34187,plain,
% 50.44/33.50 (~v244(constB159)),
% 50.44/33.50 inference(unit_resolution,[status(thm)],[34186, 11335, 34183])).
% 50.44/33.50 tff(34188,plain,
% 50.44/33.50 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB159) | (~v216(constB159, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB159) | (~v216(constB159, bitIndex1)))),
% 50.44/33.50 inference(rewrite,[status(thm)],[])).
% 50.44/33.50 tff(34189,plain,
% 50.44/33.50 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB159) | (~v216(constB159, bitIndex1)))),
% 50.44/33.50 inference(quant_inst,[status(thm)],[])).
% 50.44/33.50 tff(34190,plain,
% 50.44/33.50 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB159) | (~v216(constB159, bitIndex1))),
% 50.44/33.50 inference(modus_ponens,[status(thm)],[34189, 34188])).
% 50.44/33.50 tff(34191,plain,
% 50.44/33.50 (~v216(constB159, bitIndex1)),
% 50.44/33.50 inference(unit_resolution,[status(thm)],[34190, 11346, 34187])).
% 50.44/33.50 tff(34192,plain,
% 50.44/33.50 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | ((~v254(constB159)) | v216(constB159, bitIndex1))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB159)) | v216(constB159, bitIndex1))),
% 50.44/33.50 inference(rewrite,[status(thm)],[])).
% 50.44/33.50 tff(34193,plain,
% 50.44/33.50 ((v216(constB159, bitIndex1) | (~v254(constB159))) <=> ((~v254(constB159)) | v216(constB159, bitIndex1))),
% 50.44/33.50 inference(rewrite,[status(thm)],[])).
% 50.44/33.50 tff(34194,plain,
% 50.44/33.50 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB159, bitIndex1) | (~v254(constB159)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | ((~v254(constB159)) | v216(constB159, bitIndex1)))),
% 50.44/33.50 inference(monotonicity,[status(thm)],[34193])).
% 50.44/33.50 tff(34195,plain,
% 50.44/33.50 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB159, bitIndex1) | (~v254(constB159)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB159)) | v216(constB159, bitIndex1))),
% 50.44/33.50 inference(transitivity,[status(thm)],[34194, 34192])).
% 50.44/33.50 tff(34196,plain,
% 50.44/33.50 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB159, bitIndex1) | (~v254(constB159)))),
% 50.44/33.50 inference(quant_inst,[status(thm)],[])).
% 50.44/33.50 tff(34197,plain,
% 50.44/33.50 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB159)) | v216(constB159, bitIndex1)),
% 50.44/33.50 inference(modus_ponens,[status(thm)],[34196, 34195])).
% 50.44/33.50 tff(34198,plain,
% 50.44/33.50 (~v254(constB159)),
% 50.44/33.50 inference(unit_resolution,[status(thm)],[34197, 11357, 34191])).
% 50.44/33.50 tff(34199,plain,
% 50.44/33.50 (((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB159) | (~v221(constB159)))) <=> ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB159) | (~v221(constB159)))),
% 50.44/33.50 inference(rewrite,[status(thm)],[])).
% 50.44/33.50 tff(34200,plain,
% 50.44/33.50 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB159) | (~v221(constB159)))),
% 50.44/33.50 inference(quant_inst,[status(thm)],[])).
% 50.44/33.50 tff(34201,plain,
% 50.44/33.50 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB159) | (~v221(constB159))),
% 50.44/33.50 inference(modus_ponens,[status(thm)],[34200, 34199])).
% 50.44/33.50 tff(34202,plain,
% 50.44/33.50 (~v221(constB159)),
% 50.44/33.50 inference(unit_resolution,[status(thm)],[34201, 11505, 34147])).
% 50.44/33.50 tff(34203,plain,
% 50.44/33.50 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB159) | (~v231(constB159)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB159) | (~v231(constB159)))),
% 50.44/33.50 inference(rewrite,[status(thm)],[])).
% 50.44/33.50 tff(34204,plain,
% 50.44/33.50 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB159) | (~v231(constB159)))),
% 50.44/33.50 inference(quant_inst,[status(thm)],[])).
% 50.44/33.50 tff(34205,plain,
% 50.44/33.50 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB159) | (~v231(constB159))),
% 50.44/33.50 inference(modus_ponens,[status(thm)],[34204, 34203])).
% 50.44/33.50 tff(34206,plain,
% 50.44/33.50 (~v231(constB159)),
% 50.44/33.50 inference(unit_resolution,[status(thm)],[34205, 11162, 34178])).
% 50.44/33.50 tff(34207,plain,
% 50.44/33.50 (((~![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)))),
% 50.44/33.50 inference(rewrite,[status(thm)],[])).
% 50.44/33.50 tff(34208,plain,
% 50.44/33.50 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB159) | v231(constB159) | (~v243(constB159)))),
% 50.44/33.50 inference(quant_inst,[status(thm)],[])).
% 50.44/33.50 tff(34209,plain,
% 50.44/33.50 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB159) | v231(constB159) | (~v243(constB159))),
% 50.44/33.50 inference(modus_ponens,[status(thm)],[34208, 34207])).
% 50.44/33.50 tff(34210,plain,
% 50.44/33.50 (~v243(constB159)),
% 50.44/33.50 inference(unit_resolution,[status(thm)],[34209, 11206, 34206, 34202])).
% 50.44/33.51 tff(34211,plain,
% 50.44/33.51 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB159) | v255(constB159))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB159) | v255(constB159))),
% 50.44/33.51 inference(rewrite,[status(thm)],[])).
% 50.44/33.51 tff(34212,plain,
% 50.44/33.51 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB159) | v255(constB159))),
% 50.44/33.51 inference(quant_inst,[status(thm)],[])).
% 50.44/33.51 tff(34213,plain,
% 50.44/33.51 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB159) | v255(constB159)),
% 50.44/33.51 inference(modus_ponens,[status(thm)],[34212, 34211])).
% 50.44/33.51 tff(34214,plain,
% 50.44/33.51 (v255(constB159)),
% 50.44/33.51 inference(unit_resolution,[status(thm)],[34213, 11222, 34210])).
% 50.44/33.51 tff(34215,plain,
% 50.44/33.51 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB159)) | (~v216(constB159, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB159)) | (~v216(constB159, bitIndex2)))),
% 50.44/33.51 inference(rewrite,[status(thm)],[])).
% 50.44/33.51 tff(34216,plain,
% 50.44/33.51 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB159)) | (~v216(constB159, bitIndex2)))),
% 50.44/33.51 inference(quant_inst,[status(thm)],[])).
% 50.44/33.51 tff(34217,plain,
% 50.44/33.51 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB159)) | (~v216(constB159, bitIndex2))),
% 50.44/33.51 inference(modus_ponens,[status(thm)],[34216, 34215])).
% 50.44/33.51 tff(34218,plain,
% 50.44/33.51 (~v216(constB159, bitIndex2)),
% 50.44/33.51 inference(unit_resolution,[status(thm)],[34217, 11237, 34214])).
% 50.44/33.51 tff(34219,plain,
% 50.44/33.51 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB159, bitIndex2) | (~v215(constB159)) | v254(constB159))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB159, bitIndex2) | (~v215(constB159)) | v254(constB159))),
% 50.44/33.51 inference(rewrite,[status(thm)],[])).
% 50.44/33.51 tff(34220,plain,
% 50.44/33.51 ((v216(constB159, bitIndex2) | v254(constB159) | (~v215(constB159))) <=> (v216(constB159, bitIndex2) | (~v215(constB159)) | v254(constB159))),
% 50.44/33.51 inference(rewrite,[status(thm)],[])).
% 50.44/33.51 tff(34221,plain,
% 50.44/33.51 (((~![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) | (~v215(constB159)) | v254(constB159)))),
% 50.44/33.51 inference(monotonicity,[status(thm)],[34220])).
% 50.44/33.51 tff(34222,plain,
% 50.44/33.51 (((~![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) | (~v215(constB159)) | v254(constB159))),
% 50.44/33.51 inference(transitivity,[status(thm)],[34221, 34219])).
% 50.44/33.51 tff(34223,plain,
% 50.44/33.51 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB159, bitIndex2) | v254(constB159) | (~v215(constB159)))),
% 50.44/33.51 inference(quant_inst,[status(thm)],[])).
% 50.44/33.51 tff(34224,plain,
% 50.44/33.51 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB159, bitIndex2) | (~v215(constB159)) | v254(constB159)),
% 50.44/33.51 inference(modus_ponens,[status(thm)],[34223, 34222])).
% 50.44/33.51 tff(34225,plain,
% 50.44/33.51 ((~v215(constB159)) | v254(constB159)),
% 50.44/33.51 inference(unit_resolution,[status(thm)],[34224, 11278, 34218])).
% 50.44/33.51 tff(34226,plain,
% 50.44/33.51 (~v215(constB159)),
% 50.44/33.51 inference(unit_resolution,[status(thm)],[34225, 34198])).
% 50.44/33.51 tff(34227,plain,
% 50.44/33.51 ($false),
% 50.44/33.51 inference(unit_resolution,[status(thm)],[34226, 34058])).
% 50.44/33.51 tff(34228,plain,(~(constB159 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.44/33.51 tff(34229,assumption,(constB115 = sK0_VarCurr), introduced(assumption)).
% 50.44/33.51 tff(34230,plain,
% 50.44/33.51 (v215(constB115) <=> v215(sK0_VarCurr)),
% 50.44/33.51 inference(monotonicity,[status(thm)],[34229])).
% 50.44/33.51 tff(34231,plain,
% 50.44/33.51 (v215(sK0_VarCurr) <=> v215(constB115)),
% 50.44/33.51 inference(symmetry,[status(thm)],[34230])).
% 50.44/33.51 tff(34232,plain,
% 50.44/33.51 (v215(constB115)),
% 50.44/33.51 inference(modus_ponens,[status(thm)],[11268, 34231])).
% 50.44/33.51 tff(34233,plain,
% 50.44/33.51 (((~![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)))),
% 50.44/33.51 inference(rewrite,[status(thm)],[])).
% 50.44/33.51 tff(34234,plain,
% 50.44/33.51 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB115, bitIndex0) | (~v88(constB115, bitIndex0)))),
% 50.44/33.51 inference(quant_inst,[status(thm)],[])).
% 50.44/33.51 tff(34235,plain,
% 50.44/33.51 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB115, bitIndex0) | (~v88(constB115, bitIndex0))),
% 50.44/33.51 inference(modus_ponens,[status(thm)],[34234, 34233])).
% 50.44/33.51 tff(34236,plain,
% 50.44/33.51 (~v88(constB115, bitIndex0)),
% 50.44/33.51 inference(unit_resolution,[status(thm)],[34235, 10505, 16588])).
% 50.44/33.51 tff(34237,plain,
% 50.44/33.51 (((~![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))),
% 50.44/33.51 inference(rewrite,[status(thm)],[])).
% 50.44/33.51 tff(34238,plain,
% 50.44/33.51 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB115, bitIndex2)) | v88(constB115, bitIndex2))),
% 50.44/33.51 inference(quant_inst,[status(thm)],[])).
% 50.44/33.51 tff(34239,plain,
% 50.44/33.51 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB115, bitIndex2)) | v88(constB115, bitIndex2)),
% 50.44/33.51 inference(modus_ponens,[status(thm)],[34238, 34237])).
% 50.44/33.51 tff(34240,plain,
% 50.44/33.51 (v88(constB115, bitIndex2)),
% 50.44/33.51 inference(unit_resolution,[status(thm)],[34239, 25107, 16523])).
% 50.44/33.51 tff(34241,plain,
% 50.44/33.51 (((~![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))),
% 50.44/33.51 inference(rewrite,[status(thm)],[])).
% 50.44/33.51 tff(34242,plain,
% 50.44/33.51 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB115, bitIndex1)) | v88(constB115, bitIndex1))),
% 50.44/33.51 inference(quant_inst,[status(thm)],[])).
% 50.44/33.51 tff(34243,plain,
% 50.44/33.51 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB115, bitIndex1)) | v88(constB115, bitIndex1)),
% 50.44/33.51 inference(modus_ponens,[status(thm)],[34242, 34241])).
% 50.44/33.51 tff(34244,plain,
% 50.44/33.51 (v88(constB115, bitIndex1)),
% 50.44/33.51 inference(unit_resolution,[status(thm)],[34243, 8707, 16554])).
% 50.44/33.51 tff(34245,plain,
% 50.44/33.51 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB115, bitIndex0) | (~v88(constB115, bitIndex1)) | (~v88(constB115, bitIndex2)) | v144(constB115))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB115, bitIndex0) | (~v88(constB115, bitIndex1)) | (~v88(constB115, bitIndex2)) | v144(constB115))),
% 50.44/33.51 inference(rewrite,[status(thm)],[])).
% 50.44/33.51 tff(34246,plain,
% 50.44/33.51 (((~v88(constB115, bitIndex2)) | (~v88(constB115, bitIndex1)) | v88(constB115, bitIndex0) | v144(constB115)) <=> (v88(constB115, bitIndex0) | (~v88(constB115, bitIndex1)) | (~v88(constB115, bitIndex2)) | v144(constB115))),
% 50.44/33.51 inference(rewrite,[status(thm)],[])).
% 50.44/33.51 tff(34247,plain,
% 50.44/33.51 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB115, bitIndex2)) | (~v88(constB115, bitIndex1)) | v88(constB115, bitIndex0) | v144(constB115))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB115, bitIndex0) | (~v88(constB115, bitIndex1)) | (~v88(constB115, bitIndex2)) | v144(constB115)))),
% 50.44/33.51 inference(monotonicity,[status(thm)],[34246])).
% 50.44/33.51 tff(34248,plain,
% 50.44/33.51 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB115, bitIndex2)) | (~v88(constB115, bitIndex1)) | v88(constB115, bitIndex0) | v144(constB115))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB115, bitIndex0) | (~v88(constB115, bitIndex1)) | (~v88(constB115, bitIndex2)) | v144(constB115))),
% 50.44/33.51 inference(transitivity,[status(thm)],[34247, 34245])).
% 50.44/33.51 tff(34249,plain,
% 50.44/33.51 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB115, bitIndex2)) | (~v88(constB115, bitIndex1)) | v88(constB115, bitIndex0) | v144(constB115))),
% 50.44/33.51 inference(quant_inst,[status(thm)],[])).
% 50.44/33.51 tff(34250,plain,
% 50.44/33.51 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB115, bitIndex0) | (~v88(constB115, bitIndex1)) | (~v88(constB115, bitIndex2)) | v144(constB115)),
% 50.44/33.51 inference(modus_ponens,[status(thm)],[34249, 34248])).
% 50.44/33.51 tff(34251,plain,
% 50.44/33.51 (v144(constB115)),
% 50.44/33.51 inference(unit_resolution,[status(thm)],[34250, 25122, 34244, 34240, 34236])).
% 50.44/33.51 tff(34252,plain,
% 50.44/33.51 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB115) | (~v144(constB115)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB115) | (~v144(constB115)))),
% 50.44/33.51 inference(rewrite,[status(thm)],[])).
% 50.44/33.51 tff(34253,plain,
% 50.44/33.51 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB115) | (~v144(constB115)))),
% 50.44/33.51 inference(quant_inst,[status(thm)],[])).
% 50.44/33.51 tff(34254,plain,
% 50.44/33.51 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB115) | (~v144(constB115))),
% 50.44/33.51 inference(modus_ponens,[status(thm)],[34253, 34252])).
% 50.44/33.51 tff(34255,plain,
% 50.44/33.51 (v142(constB115)),
% 50.44/33.51 inference(unit_resolution,[status(thm)],[34254, 25139, 34251])).
% 50.44/33.51 tff(34256,plain,
% 50.44/33.51 (((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB115) | (~v142(constB115)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB115) | (~v142(constB115)))),
% 50.44/33.51 inference(rewrite,[status(thm)],[])).
% 50.44/33.51 tff(34257,plain,
% 50.44/33.51 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB115) | (~v142(constB115)))),
% 50.44/33.51 inference(quant_inst,[status(thm)],[])).
% 50.44/33.51 tff(34258,plain,
% 50.44/33.51 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB115) | (~v142(constB115))),
% 50.44/33.51 inference(modus_ponens,[status(thm)],[34257, 34256])).
% 50.44/33.51 tff(34259,plain,
% 50.44/33.51 (v198(constB115)),
% 50.44/33.51 inference(unit_resolution,[status(thm)],[34258, 10548, 34255])).
% 50.44/33.51 tff(34260,plain,
% 50.44/33.51 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB115)) | (~v201(constB115)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB115)) | (~v201(constB115)))),
% 50.44/33.51 inference(rewrite,[status(thm)],[])).
% 50.44/33.51 tff(34261,plain,
% 50.44/33.51 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB115)) | (~v201(constB115)))),
% 50.44/33.51 inference(quant_inst,[status(thm)],[])).
% 50.44/33.51 tff(34262,plain,
% 50.44/33.51 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB115)) | (~v201(constB115))),
% 50.44/33.51 inference(modus_ponens,[status(thm)],[34261, 34260])).
% 50.44/33.51 tff(34263,plain,
% 50.44/33.51 (~v201(constB115)),
% 50.44/33.51 inference(unit_resolution,[status(thm)],[34262, 8823, 34259])).
% 50.44/33.51 tff(34264,plain,
% 50.44/33.51 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB115) | (~v198(constB115)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB115) | (~v198(constB115)))),
% 50.44/33.51 inference(rewrite,[status(thm)],[])).
% 50.44/33.51 tff(34265,plain,
% 50.44/33.51 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB115) | (~v198(constB115)))),
% 50.44/33.51 inference(quant_inst,[status(thm)],[])).
% 50.44/33.51 tff(34266,plain,
% 50.44/33.51 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB115) | (~v198(constB115))),
% 50.44/33.51 inference(modus_ponens,[status(thm)],[34265, 34264])).
% 50.44/33.51 tff(34267,plain,
% 50.44/33.51 (v197(constB115)),
% 50.44/33.51 inference(unit_resolution,[status(thm)],[34266, 8834, 34259])).
% 50.44/33.51 tff(34268,plain,
% 50.44/33.51 (((~![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)))),
% 50.44/33.51 inference(rewrite,[status(thm)],[])).
% 50.44/33.51 tff(34269,plain,
% 50.44/33.51 (((~v197(constB115)) | v201(constB115) | v227(constB115)) <=> (v227(constB115) | v201(constB115) | (~v197(constB115)))),
% 50.44/33.51 inference(rewrite,[status(thm)],[])).
% 50.44/33.51 tff(34270,plain,
% 50.44/33.51 (((~![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))))),
% 50.44/33.51 inference(monotonicity,[status(thm)],[34269])).
% 50.44/33.51 tff(34271,plain,
% 50.44/33.51 (((~![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)))),
% 50.44/33.51 inference(transitivity,[status(thm)],[34270, 34268])).
% 50.44/33.51 tff(34272,plain,
% 50.44/33.51 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB115)) | v201(constB115) | v227(constB115))),
% 50.44/33.51 inference(quant_inst,[status(thm)],[])).
% 50.44/33.51 tff(34273,plain,
% 50.44/33.51 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB115) | v201(constB115) | (~v197(constB115))),
% 50.44/33.51 inference(modus_ponens,[status(thm)],[34272, 34271])).
% 50.44/33.51 tff(34274,plain,
% 50.44/33.51 (v227(constB115)),
% 50.44/33.51 inference(unit_resolution,[status(thm)],[34273, 8848, 34267, 34263])).
% 50.44/33.51 tff(34275,plain,
% 50.44/33.51 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB115)) | (~v223(constB115, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB115)) | (~v223(constB115, bitIndex0)))),
% 50.44/33.51 inference(rewrite,[status(thm)],[])).
% 50.44/33.51 tff(34276,plain,
% 50.44/33.51 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB115)) | (~v223(constB115, bitIndex0)))),
% 50.44/33.51 inference(quant_inst,[status(thm)],[])).
% 50.44/33.51 tff(34277,plain,
% 50.44/33.51 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB115)) | (~v223(constB115, bitIndex0))),
% 50.44/33.51 inference(modus_ponens,[status(thm)],[34276, 34275])).
% 50.44/33.51 tff(34278,plain,
% 50.44/33.51 (~v223(constB115, bitIndex0)),
% 50.44/33.51 inference(unit_resolution,[status(thm)],[34277, 8862, 34274])).
% 50.44/33.51 tff(34279,plain,
% 50.44/33.51 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB115, bitIndex0) | (~v222(constB115)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | v223(constB115, bitIndex0) | (~v222(constB115)))),
% 50.44/33.51 inference(rewrite,[status(thm)],[])).
% 50.44/33.51 tff(34280,plain,
% 50.44/33.51 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB115, bitIndex0) | (~v222(constB115)))),
% 50.44/33.51 inference(quant_inst,[status(thm)],[])).
% 50.44/33.51 tff(34281,plain,
% 50.44/33.51 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | v223(constB115, bitIndex0) | (~v222(constB115))),
% 50.44/33.51 inference(modus_ponens,[status(thm)],[34280, 34279])).
% 50.44/33.51 tff(34282,plain,
% 50.44/33.51 (~v222(constB115)),
% 50.44/33.51 inference(unit_resolution,[status(thm)],[34281, 10578, 34278])).
% 50.44/33.51 tff(34283,plain,
% 50.44/33.51 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB115, bitIndex1)) | (~v139(constB115)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB115, bitIndex1)) | (~v139(constB115)))),
% 50.44/33.51 inference(rewrite,[status(thm)],[])).
% 50.44/33.51 tff(34284,plain,
% 50.44/33.51 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB115, bitIndex1)) | (~v139(constB115)))),
% 50.44/33.51 inference(quant_inst,[status(thm)],[])).
% 50.44/33.51 tff(34285,plain,
% 50.44/33.51 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB115, bitIndex1)) | (~v139(constB115))),
% 50.44/33.51 inference(modus_ponens,[status(thm)],[34284, 34283])).
% 50.44/33.51 tff(34286,plain,
% 50.44/33.51 (~v139(constB115)),
% 50.44/33.51 inference(unit_resolution,[status(thm)],[34285, 10589, 34244])).
% 50.44/33.51 tff(34287,plain,
% 50.44/33.51 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB115, bitIndex1)) | (~v140(constB115)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB115, bitIndex1)) | (~v140(constB115)))),
% 50.44/33.51 inference(rewrite,[status(thm)],[])).
% 50.44/33.51 tff(34288,plain,
% 50.44/33.51 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB115, bitIndex1)) | (~v140(constB115)))),
% 50.44/33.51 inference(quant_inst,[status(thm)],[])).
% 50.44/33.51 tff(34289,plain,
% 50.44/33.51 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB115, bitIndex1)) | (~v140(constB115))),
% 50.44/33.51 inference(modus_ponens,[status(thm)],[34288, 34287])).
% 50.44/33.51 tff(34290,plain,
% 50.44/33.51 (~v140(constB115)),
% 50.44/33.51 inference(unit_resolution,[status(thm)],[34289, 9002, 34244])).
% 50.44/33.51 tff(34291,plain,
% 50.44/33.51 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB115) | v139(constB115) | (~v200(constB115)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB115) | v139(constB115) | (~v200(constB115)))),
% 50.44/33.51 inference(rewrite,[status(thm)],[])).
% 50.44/33.51 tff(34292,plain,
% 50.44/33.51 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB115) | v139(constB115) | (~v200(constB115)))),
% 50.44/33.51 inference(quant_inst,[status(thm)],[])).
% 50.44/33.51 tff(34293,plain,
% 50.44/33.51 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB115) | v139(constB115) | (~v200(constB115))),
% 50.44/33.51 inference(modus_ponens,[status(thm)],[34292, 34291])).
% 50.44/33.51 tff(34294,plain,
% 50.44/33.51 (~v200(constB115)),
% 50.44/33.51 inference(unit_resolution,[status(thm)],[34293, 10610, 34290, 34286])).
% 50.44/33.51 tff(34295,plain,
% 50.44/33.51 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB115, bitIndex2)) | (~v141(constB115)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB115, bitIndex2)) | (~v141(constB115)))),
% 50.44/33.51 inference(rewrite,[status(thm)],[])).
% 50.44/33.51 tff(34296,plain,
% 50.44/33.51 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB115, bitIndex2)) | (~v141(constB115)))),
% 50.44/33.51 inference(quant_inst,[status(thm)],[])).
% 50.44/33.51 tff(34297,plain,
% 50.44/33.51 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB115, bitIndex2)) | (~v141(constB115))),
% 50.44/33.51 inference(modus_ponens,[status(thm)],[34296, 34295])).
% 50.44/33.51 tff(34298,plain,
% 50.44/33.51 (~v141(constB115)),
% 50.44/33.51 inference(unit_resolution,[status(thm)],[34297, 25200, 34240])).
% 50.44/33.51 tff(34299,plain,
% 50.44/33.51 (((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB115) | v200(constB115) | (~v166(constB115)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB115) | v200(constB115) | (~v166(constB115)))),
% 50.44/33.51 inference(rewrite,[status(thm)],[])).
% 50.44/33.51 tff(34300,plain,
% 50.44/33.51 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB115) | v200(constB115) | (~v166(constB115)))),
% 50.44/33.51 inference(quant_inst,[status(thm)],[])).
% 50.44/33.51 tff(34301,plain,
% 50.44/33.51 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB115) | v200(constB115) | (~v166(constB115))),
% 50.44/33.51 inference(modus_ponens,[status(thm)],[34300, 34299])).
% 50.44/33.51 tff(34302,plain,
% 50.44/33.51 (~v166(constB115)),
% 50.44/33.51 inference(unit_resolution,[status(thm)],[34301, 10638, 34298, 34294])).
% 50.44/33.51 tff(34303,plain,
% 50.44/33.51 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB115) | v166(constB115) | (~v197(constB115)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB115) | v166(constB115) | (~v197(constB115)))),
% 50.44/33.51 inference(rewrite,[status(thm)],[])).
% 50.44/33.51 tff(34304,plain,
% 50.44/33.51 (((~v197(constB115)) | v166(constB115) | v241(constB115)) <=> (v241(constB115) | v166(constB115) | (~v197(constB115)))),
% 50.44/33.51 inference(rewrite,[status(thm)],[])).
% 50.44/33.51 tff(34305,plain,
% 50.44/33.51 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB115)) | v166(constB115) | v241(constB115))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB115) | v166(constB115) | (~v197(constB115))))),
% 50.44/33.51 inference(monotonicity,[status(thm)],[34304])).
% 50.44/33.51 tff(34306,plain,
% 50.44/33.51 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB115)) | v166(constB115) | v241(constB115))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB115) | v166(constB115) | (~v197(constB115)))),
% 50.44/33.51 inference(transitivity,[status(thm)],[34305, 34303])).
% 50.44/33.51 tff(34307,plain,
% 50.44/33.51 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB115)) | v166(constB115) | v241(constB115))),
% 50.44/33.51 inference(quant_inst,[status(thm)],[])).
% 50.44/33.51 tff(34308,plain,
% 50.44/33.51 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB115) | v166(constB115) | (~v197(constB115))),
% 50.44/33.51 inference(modus_ponens,[status(thm)],[34307, 34306])).
% 50.44/33.51 tff(34309,plain,
% 50.44/33.51 (v241(constB115) | (~v197(constB115))),
% 50.44/33.51 inference(unit_resolution,[status(thm)],[34308, 10277, 34302])).
% 50.44/33.51 tff(34310,plain,
% 50.44/33.51 (v241(constB115)),
% 50.44/33.51 inference(unit_resolution,[status(thm)],[34309, 34267])).
% 50.44/33.51 tff(34311,plain,
% 50.44/33.51 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB115)) | (~v223(constB115, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB115)) | (~v223(constB115, bitIndex2)))),
% 50.44/33.51 inference(rewrite,[status(thm)],[])).
% 50.44/33.51 tff(34312,plain,
% 50.44/33.51 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB115)) | (~v223(constB115, bitIndex2)))),
% 50.44/33.51 inference(quant_inst,[status(thm)],[])).
% 50.44/33.51 tff(34313,plain,
% 50.44/33.51 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB115)) | (~v223(constB115, bitIndex2))),
% 50.44/33.51 inference(modus_ponens,[status(thm)],[34312, 34311])).
% 50.44/33.51 tff(34314,plain,
% 50.44/33.51 (~v223(constB115, bitIndex2)),
% 50.44/33.51 inference(unit_resolution,[status(thm)],[34313, 10292, 34310])).
% 50.44/33.51 tff(34315,plain,
% 50.44/33.51 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB115)) | v223(constB115, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB115)) | v223(constB115, bitIndex2))),
% 50.44/33.51 inference(rewrite,[status(thm)],[])).
% 50.44/33.51 tff(34316,plain,
% 50.44/33.51 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB115)) | v223(constB115, bitIndex2))),
% 50.44/33.51 inference(quant_inst,[status(thm)],[])).
% 50.44/33.51 tff(34317,plain,
% 50.44/33.51 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB115)) | v223(constB115, bitIndex2)),
% 50.44/33.51 inference(modus_ponens,[status(thm)],[34316, 34315])).
% 50.44/33.51 tff(34318,plain,
% 50.44/33.51 (~v224(constB115)),
% 50.44/33.51 inference(unit_resolution,[status(thm)],[34317, 10343, 34314])).
% 50.44/33.51 tff(34319,plain,
% 50.44/33.51 (((~![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)))),
% 50.44/33.51 inference(rewrite,[status(thm)],[])).
% 50.44/33.51 tff(34320,plain,
% 50.44/33.51 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB115) | v224(constB115) | (~v236(constB115)))),
% 50.44/33.51 inference(quant_inst,[status(thm)],[])).
% 50.44/33.51 tff(34321,plain,
% 50.44/33.51 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB115) | v224(constB115) | (~v236(constB115))),
% 50.44/33.51 inference(modus_ponens,[status(thm)],[34320, 34319])).
% 50.44/33.51 tff(34322,plain,
% 50.44/33.51 (~v236(constB115)),
% 50.44/33.51 inference(unit_resolution,[status(thm)],[34321, 8968, 34318, 34282])).
% 50.44/33.51 tff(34323,plain,
% 50.44/33.51 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB115) | (~v232(constB115)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB115) | (~v232(constB115)))),
% 50.44/33.51 inference(rewrite,[status(thm)],[])).
% 50.44/33.51 tff(34324,plain,
% 50.44/33.51 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB115) | (~v232(constB115)))),
% 50.44/33.51 inference(quant_inst,[status(thm)],[])).
% 50.44/33.51 tff(34325,plain,
% 50.44/33.51 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB115) | (~v232(constB115))),
% 50.44/33.51 inference(modus_ponens,[status(thm)],[34324, 34323])).
% 50.44/33.51 tff(34326,plain,
% 50.44/33.51 (~v232(constB115)),
% 50.44/33.51 inference(unit_resolution,[status(thm)],[34325, 8980, 34322])).
% 50.44/33.51 tff(34327,plain,
% 50.44/33.51 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB115) | v139(constB115) | (~v148(constB115)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB115) | v139(constB115) | (~v148(constB115)))),
% 50.44/33.51 inference(rewrite,[status(thm)],[])).
% 50.44/33.51 tff(34328,plain,
% 50.44/33.51 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB115) | v139(constB115) | (~v148(constB115)))),
% 50.44/33.51 inference(quant_inst,[status(thm)],[])).
% 50.44/33.51 tff(34329,plain,
% 50.44/33.51 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB115) | v139(constB115) | (~v148(constB115))),
% 50.44/33.51 inference(modus_ponens,[status(thm)],[34328, 34327])).
% 50.44/33.51 tff(34330,plain,
% 50.44/33.51 (~v148(constB115)),
% 50.44/33.51 inference(unit_resolution,[status(thm)],[34329, 9016, 34290, 34286])).
% 50.44/33.51 tff(34331,plain,
% 50.44/33.51 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB115) | (~v197(constB115)) | v148(constB115))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB115) | (~v197(constB115)) | v148(constB115))),
% 50.44/33.51 inference(rewrite,[status(thm)],[])).
% 50.44/33.51 tff(34332,plain,
% 50.44/33.51 ((v148(constB115) | (~v197(constB115)) | v252(constB115)) <=> (v252(constB115) | (~v197(constB115)) | v148(constB115))),
% 50.44/33.51 inference(rewrite,[status(thm)],[])).
% 50.44/33.51 tff(34333,plain,
% 50.44/33.51 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB115) | (~v197(constB115)) | v252(constB115))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB115) | (~v197(constB115)) | v148(constB115)))),
% 50.44/33.51 inference(monotonicity,[status(thm)],[34332])).
% 50.44/33.51 tff(34334,plain,
% 50.44/33.51 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB115) | (~v197(constB115)) | v252(constB115))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB115) | (~v197(constB115)) | v148(constB115))),
% 50.44/33.51 inference(transitivity,[status(thm)],[34333, 34331])).
% 50.44/33.51 tff(34335,plain,
% 50.44/33.51 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB115) | (~v197(constB115)) | v252(constB115))),
% 50.44/33.51 inference(quant_inst,[status(thm)],[])).
% 50.44/33.51 tff(34336,plain,
% 50.44/33.51 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB115) | (~v197(constB115)) | v148(constB115)),
% 50.44/33.51 inference(modus_ponens,[status(thm)],[34335, 34334])).
% 50.44/33.51 tff(34337,plain,
% 50.44/33.51 (v252(constB115) | (~v197(constB115))),
% 50.44/33.51 inference(unit_resolution,[status(thm)],[34336, 9033, 34330])).
% 50.44/33.51 tff(34338,plain,
% 50.44/33.51 (v252(constB115)),
% 50.44/33.51 inference(unit_resolution,[status(thm)],[34337, 34267])).
% 50.44/33.51 tff(34339,plain,
% 50.44/33.51 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB115)) | (~v223(constB115, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB115)) | (~v223(constB115, bitIndex3)))),
% 50.44/33.51 inference(rewrite,[status(thm)],[])).
% 50.44/33.51 tff(34340,plain,
% 50.44/33.51 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB115)) | (~v223(constB115, bitIndex3)))),
% 50.44/33.51 inference(quant_inst,[status(thm)],[])).
% 50.44/33.51 tff(34341,plain,
% 50.44/33.51 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB115)) | (~v223(constB115, bitIndex3))),
% 50.44/33.51 inference(modus_ponens,[status(thm)],[34340, 34339])).
% 50.44/33.51 tff(34342,plain,
% 50.44/33.51 (~v223(constB115, bitIndex3)),
% 50.44/33.51 inference(unit_resolution,[status(thm)],[34341, 9048, 34338])).
% 50.44/33.51 tff(34343,plain,
% 50.44/33.51 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB115)) | v223(constB115, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB115)) | v223(constB115, bitIndex3))),
% 50.44/33.51 inference(rewrite,[status(thm)],[])).
% 50.44/33.51 tff(34344,plain,
% 50.44/33.51 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB115)) | v223(constB115, bitIndex3))),
% 50.44/33.51 inference(quant_inst,[status(thm)],[])).
% 50.44/33.51 tff(34345,plain,
% 50.44/33.51 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB115)) | v223(constB115, bitIndex3)),
% 50.44/33.51 inference(modus_ponens,[status(thm)],[34344, 34343])).
% 50.44/33.51 tff(34346,plain,
% 50.44/33.51 (~v237(constB115)),
% 50.44/33.51 inference(unit_resolution,[status(thm)],[34345, 9062, 34342])).
% 50.44/33.51 tff(34347,plain,
% 50.44/33.51 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB115) | v232(constB115) | (~v248(constB115)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB115) | v232(constB115) | (~v248(constB115)))),
% 50.44/33.51 inference(rewrite,[status(thm)],[])).
% 50.44/33.51 tff(34348,plain,
% 50.44/33.51 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB115) | v232(constB115) | (~v248(constB115)))),
% 50.44/33.51 inference(quant_inst,[status(thm)],[])).
% 50.44/33.51 tff(34349,plain,
% 50.44/33.51 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB115) | v232(constB115) | (~v248(constB115))),
% 50.44/33.51 inference(modus_ponens,[status(thm)],[34348, 34347])).
% 50.44/33.51 tff(34350,plain,
% 50.44/33.51 (v232(constB115) | (~v248(constB115))),
% 50.44/33.51 inference(unit_resolution,[status(thm)],[34349, 9076, 34346])).
% 50.44/33.51 tff(34351,plain,
% 50.44/33.51 (~v248(constB115)),
% 50.44/33.51 inference(unit_resolution,[status(thm)],[34350, 34326])).
% 50.44/33.51 tff(34352,plain,
% 50.44/33.51 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB115) | (~v244(constB115)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB115) | (~v244(constB115)))),
% 50.44/33.51 inference(rewrite,[status(thm)],[])).
% 50.44/33.51 tff(34353,plain,
% 50.44/33.51 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB115) | (~v244(constB115)))),
% 50.44/33.51 inference(quant_inst,[status(thm)],[])).
% 50.44/33.51 tff(34354,plain,
% 50.44/33.51 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB115) | (~v244(constB115))),
% 50.44/33.51 inference(modus_ponens,[status(thm)],[34353, 34352])).
% 50.44/33.51 tff(34355,plain,
% 50.44/33.51 (~v244(constB115)),
% 50.44/33.51 inference(unit_resolution,[status(thm)],[34354, 11335, 34351])).
% 50.44/33.51 tff(34356,plain,
% 50.44/33.51 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB115) | (~v216(constB115, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB115) | (~v216(constB115, bitIndex1)))),
% 50.44/33.51 inference(rewrite,[status(thm)],[])).
% 50.44/33.51 tff(34357,plain,
% 50.44/33.51 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB115) | (~v216(constB115, bitIndex1)))),
% 50.44/33.51 inference(quant_inst,[status(thm)],[])).
% 50.44/33.51 tff(34358,plain,
% 50.44/33.51 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB115) | (~v216(constB115, bitIndex1))),
% 50.44/33.51 inference(modus_ponens,[status(thm)],[34357, 34356])).
% 50.44/33.51 tff(34359,plain,
% 50.44/33.51 (~v216(constB115, bitIndex1)),
% 50.44/33.51 inference(unit_resolution,[status(thm)],[34358, 11346, 34355])).
% 50.44/33.51 tff(34360,plain,
% 50.44/33.51 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB115, bitIndex1) | (~v254(constB115)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB115, bitIndex1) | (~v254(constB115)))),
% 50.44/33.51 inference(rewrite,[status(thm)],[])).
% 50.44/33.51 tff(34361,plain,
% 50.44/33.51 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB115, bitIndex1) | (~v254(constB115)))),
% 50.44/33.51 inference(quant_inst,[status(thm)],[])).
% 50.44/33.51 tff(34362,plain,
% 50.44/33.51 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB115, bitIndex1) | (~v254(constB115))),
% 50.44/33.51 inference(modus_ponens,[status(thm)],[34361, 34360])).
% 50.44/33.51 tff(34363,plain,
% 50.44/33.51 (~v254(constB115)),
% 50.44/33.51 inference(unit_resolution,[status(thm)],[34362, 11357, 34359])).
% 50.44/33.51 tff(34364,plain,
% 50.44/33.51 (((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB115) | (~v221(constB115)))) <=> ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB115) | (~v221(constB115)))),
% 50.44/33.51 inference(rewrite,[status(thm)],[])).
% 50.44/33.51 tff(34365,plain,
% 50.44/33.51 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB115) | (~v221(constB115)))),
% 50.44/33.51 inference(quant_inst,[status(thm)],[])).
% 50.44/33.51 tff(34366,plain,
% 50.44/33.51 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB115) | (~v221(constB115))),
% 50.44/33.51 inference(modus_ponens,[status(thm)],[34365, 34364])).
% 50.44/33.51 tff(34367,plain,
% 50.44/33.51 (~v221(constB115)),
% 50.44/33.51 inference(unit_resolution,[status(thm)],[34366, 11505, 34318])).
% 50.44/33.51 tff(34368,plain,
% 50.44/33.51 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB115) | (~v231(constB115)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB115) | (~v231(constB115)))),
% 50.44/33.51 inference(rewrite,[status(thm)],[])).
% 50.44/33.51 tff(34369,plain,
% 50.44/33.51 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB115) | (~v231(constB115)))),
% 50.44/33.51 inference(quant_inst,[status(thm)],[])).
% 50.44/33.51 tff(34370,plain,
% 50.44/33.51 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB115) | (~v231(constB115))),
% 50.44/33.51 inference(modus_ponens,[status(thm)],[34369, 34368])).
% 50.44/33.51 tff(34371,plain,
% 50.44/33.51 (~v231(constB115)),
% 50.44/33.51 inference(unit_resolution,[status(thm)],[34370, 11162, 34346])).
% 50.44/33.51 tff(34372,plain,
% 50.44/33.51 (((~![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)))),
% 50.44/33.51 inference(rewrite,[status(thm)],[])).
% 50.44/33.51 tff(34373,plain,
% 50.44/33.51 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB115) | v231(constB115) | (~v243(constB115)))),
% 50.44/33.51 inference(quant_inst,[status(thm)],[])).
% 50.44/33.51 tff(34374,plain,
% 50.44/33.51 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB115) | v231(constB115) | (~v243(constB115))),
% 50.44/33.51 inference(modus_ponens,[status(thm)],[34373, 34372])).
% 50.44/33.51 tff(34375,plain,
% 50.44/33.51 (~v243(constB115)),
% 50.44/33.51 inference(unit_resolution,[status(thm)],[34374, 11206, 34371, 34367])).
% 50.44/33.51 tff(34376,plain,
% 50.44/33.51 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB115) | v255(constB115))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB115) | v255(constB115))),
% 50.44/33.51 inference(rewrite,[status(thm)],[])).
% 50.44/33.51 tff(34377,plain,
% 50.44/33.51 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB115) | v255(constB115))),
% 50.44/33.51 inference(quant_inst,[status(thm)],[])).
% 50.44/33.51 tff(34378,plain,
% 50.44/33.51 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB115) | v255(constB115)),
% 50.44/33.51 inference(modus_ponens,[status(thm)],[34377, 34376])).
% 50.44/33.51 tff(34379,plain,
% 50.44/33.51 (v255(constB115)),
% 50.44/33.51 inference(unit_resolution,[status(thm)],[34378, 11222, 34375])).
% 50.44/33.51 tff(34380,plain,
% 50.44/33.51 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB115)) | (~v216(constB115, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB115)) | (~v216(constB115, bitIndex2)))),
% 50.44/33.51 inference(rewrite,[status(thm)],[])).
% 50.44/33.51 tff(34381,plain,
% 50.44/33.51 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB115)) | (~v216(constB115, bitIndex2)))),
% 50.44/33.51 inference(quant_inst,[status(thm)],[])).
% 50.44/33.51 tff(34382,plain,
% 50.44/33.51 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB115)) | (~v216(constB115, bitIndex2))),
% 50.44/33.51 inference(modus_ponens,[status(thm)],[34381, 34380])).
% 50.44/33.51 tff(34383,plain,
% 50.44/33.51 (~v216(constB115, bitIndex2)),
% 50.44/33.51 inference(unit_resolution,[status(thm)],[34382, 11237, 34379])).
% 50.44/33.51 tff(34384,plain,
% 50.44/33.51 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v254(constB115) | v216(constB115, bitIndex2) | (~v215(constB115)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB115) | v216(constB115, bitIndex2) | (~v215(constB115)))),
% 50.44/33.51 inference(rewrite,[status(thm)],[])).
% 50.44/33.51 tff(34385,plain,
% 50.44/33.51 ((v216(constB115, bitIndex2) | v254(constB115) | (~v215(constB115))) <=> (v254(constB115) | v216(constB115, bitIndex2) | (~v215(constB115)))),
% 50.44/33.52 inference(rewrite,[status(thm)],[])).
% 50.44/33.52 tff(34386,plain,
% 50.44/33.52 (((~![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)))) | (v254(constB115) | v216(constB115, bitIndex2) | (~v215(constB115))))),
% 50.44/33.52 inference(monotonicity,[status(thm)],[34385])).
% 50.44/33.52 tff(34387,plain,
% 50.44/33.52 (((~![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)))) | v254(constB115) | v216(constB115, bitIndex2) | (~v215(constB115)))),
% 50.44/33.52 inference(transitivity,[status(thm)],[34386, 34384])).
% 50.44/33.52 tff(34388,plain,
% 50.44/33.52 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB115, bitIndex2) | v254(constB115) | (~v215(constB115)))),
% 50.44/33.52 inference(quant_inst,[status(thm)],[])).
% 50.44/33.52 tff(34389,plain,
% 50.44/33.52 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v254(constB115) | v216(constB115, bitIndex2) | (~v215(constB115))),
% 50.44/33.52 inference(modus_ponens,[status(thm)],[34388, 34387])).
% 50.44/33.52 tff(34390,plain,
% 50.44/33.52 (v254(constB115) | (~v215(constB115))),
% 50.44/33.52 inference(unit_resolution,[status(thm)],[34389, 11278, 34383])).
% 50.44/33.52 tff(34391,plain,
% 50.44/33.52 (~v215(constB115)),
% 50.44/33.52 inference(unit_resolution,[status(thm)],[34390, 34363])).
% 50.44/33.52 tff(34392,plain,
% 50.44/33.52 ($false),
% 50.44/33.52 inference(unit_resolution,[status(thm)],[34391, 34232])).
% 50.44/33.52 tff(34393,plain,(~(constB115 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.44/33.52 tff(34394,assumption,(constB11 = sK0_VarCurr), introduced(assumption)).
% 50.44/33.52 tff(34395,plain,
% 50.44/33.52 (v215(constB11) <=> v215(sK0_VarCurr)),
% 50.44/33.52 inference(monotonicity,[status(thm)],[34394])).
% 50.44/33.52 tff(34396,plain,
% 50.44/33.52 (v215(sK0_VarCurr) <=> v215(constB11)),
% 50.44/33.52 inference(symmetry,[status(thm)],[34395])).
% 50.44/33.52 tff(34397,plain,
% 50.44/33.52 (v215(constB11)),
% 50.44/33.52 inference(modus_ponens,[status(thm)],[11268, 34396])).
% 50.44/33.52 tff(34398,plain,
% 50.44/33.52 (((~![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)))),
% 50.44/33.52 inference(rewrite,[status(thm)],[])).
% 50.44/33.52 tff(34399,plain,
% 50.44/33.52 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB11, bitIndex2) | (~v88(constB11, bitIndex2)))),
% 50.44/33.52 inference(quant_inst,[status(thm)],[])).
% 50.44/33.52 tff(34400,plain,
% 50.44/33.52 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB11, bitIndex2) | (~v88(constB11, bitIndex2))),
% 50.44/33.52 inference(modus_ponens,[status(thm)],[34399, 34398])).
% 50.44/33.52 tff(34401,plain,
% 50.44/33.52 (~v88(constB11, bitIndex2)),
% 50.44/33.52 inference(unit_resolution,[status(thm)],[34400, 8769, 1697])).
% 50.44/33.52 tff(34402,plain,
% 50.44/33.52 (((~![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))),
% 50.44/33.52 inference(rewrite,[status(thm)],[])).
% 50.44/33.52 tff(34403,plain,
% 50.44/33.52 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB11, bitIndex1)) | v88(constB11, bitIndex1))),
% 50.44/33.52 inference(quant_inst,[status(thm)],[])).
% 50.44/33.52 tff(34404,plain,
% 50.44/33.52 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB11, bitIndex1)) | v88(constB11, bitIndex1)),
% 50.44/33.52 inference(modus_ponens,[status(thm)],[34403, 34402])).
% 50.44/33.52 tff(34405,plain,
% 50.44/33.52 (v88(constB11, bitIndex1)),
% 50.44/33.52 inference(unit_resolution,[status(thm)],[34404, 8707, 1738])).
% 50.44/33.52 tff(34406,plain,
% 50.44/33.52 (((~![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))),
% 50.44/33.52 inference(rewrite,[status(thm)],[])).
% 50.44/33.52 tff(34407,plain,
% 50.44/33.52 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB11, bitIndex0)) | v88(constB11, bitIndex0))),
% 50.44/33.52 inference(quant_inst,[status(thm)],[])).
% 50.44/33.52 tff(34408,plain,
% 50.44/33.52 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB11, bitIndex0)) | v88(constB11, bitIndex0)),
% 50.44/33.52 inference(modus_ponens,[status(thm)],[34407, 34406])).
% 50.44/33.52 tff(34409,plain,
% 50.44/33.52 (v88(constB11, bitIndex0)),
% 50.44/33.52 inference(unit_resolution,[status(thm)],[34408, 8662, 1779])).
% 50.44/33.52 tff(34410,plain,
% 50.44/33.52 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB11, bitIndex1)) | v88(constB11, bitIndex2) | (~v88(constB11, bitIndex0)) | v141(constB11))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB11, bitIndex1)) | v88(constB11, bitIndex2) | (~v88(constB11, bitIndex0)) | v141(constB11))),
% 50.44/33.52 inference(rewrite,[status(thm)],[])).
% 50.44/33.52 tff(34411,plain,
% 50.44/33.52 ((v88(constB11, bitIndex2) | (~v88(constB11, bitIndex1)) | (~v88(constB11, bitIndex0)) | v141(constB11)) <=> ((~v88(constB11, bitIndex1)) | v88(constB11, bitIndex2) | (~v88(constB11, bitIndex0)) | v141(constB11))),
% 50.44/33.52 inference(rewrite,[status(thm)],[])).
% 50.44/33.52 tff(34412,plain,
% 50.44/33.52 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB11, bitIndex2) | (~v88(constB11, bitIndex1)) | (~v88(constB11, bitIndex0)) | v141(constB11))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | ((~v88(constB11, bitIndex1)) | v88(constB11, bitIndex2) | (~v88(constB11, bitIndex0)) | v141(constB11)))),
% 50.44/33.52 inference(monotonicity,[status(thm)],[34411])).
% 50.44/33.52 tff(34413,plain,
% 50.44/33.52 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB11, bitIndex2) | (~v88(constB11, bitIndex1)) | (~v88(constB11, bitIndex0)) | v141(constB11))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB11, bitIndex1)) | v88(constB11, bitIndex2) | (~v88(constB11, bitIndex0)) | v141(constB11))),
% 50.44/33.52 inference(transitivity,[status(thm)],[34412, 34410])).
% 50.44/33.52 tff(34414,plain,
% 50.44/33.52 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB11, bitIndex2) | (~v88(constB11, bitIndex1)) | (~v88(constB11, bitIndex0)) | v141(constB11))),
% 50.44/33.52 inference(quant_inst,[status(thm)],[])).
% 50.44/33.52 tff(34415,plain,
% 50.44/33.52 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (~v88(constB11, bitIndex1)) | v88(constB11, bitIndex2) | (~v88(constB11, bitIndex0)) | v141(constB11)),
% 50.44/33.52 inference(modus_ponens,[status(thm)],[34414, 34413])).
% 50.44/33.52 tff(34416,plain,
% 50.44/33.52 (v141(constB11)),
% 50.44/33.52 inference(unit_resolution,[status(thm)],[34415, 8783, 34409, 34405, 34401])).
% 50.44/33.52 tff(34417,plain,
% 50.44/33.52 (((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB11) | (~v141(constB11)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB11) | (~v141(constB11)))),
% 50.44/33.52 inference(rewrite,[status(thm)],[])).
% 50.44/33.52 tff(34418,plain,
% 50.44/33.52 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB11) | (~v141(constB11)))),
% 50.44/33.52 inference(quant_inst,[status(thm)],[])).
% 50.44/33.52 tff(34419,plain,
% 50.44/33.52 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB11) | (~v141(constB11))),
% 50.44/33.52 inference(modus_ponens,[status(thm)],[34418, 34417])).
% 50.44/33.52 tff(34420,plain,
% 50.44/33.52 (v199(constB11)),
% 50.44/33.52 inference(unit_resolution,[status(thm)],[34419, 8798, 34416])).
% 50.44/33.52 tff(34421,plain,
% 50.44/33.52 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB11) | (~v199(constB11)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB11) | (~v199(constB11)))),
% 50.44/33.52 inference(rewrite,[status(thm)],[])).
% 50.44/33.52 tff(34422,plain,
% 50.44/33.52 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB11) | (~v199(constB11)))),
% 50.44/33.52 inference(quant_inst,[status(thm)],[])).
% 50.44/33.52 tff(34423,plain,
% 50.44/33.52 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB11) | (~v199(constB11))),
% 50.44/33.52 inference(modus_ponens,[status(thm)],[34422, 34421])).
% 50.44/33.52 tff(34424,plain,
% 50.44/33.52 (v198(constB11)),
% 50.44/33.52 inference(unit_resolution,[status(thm)],[34423, 8809, 34420])).
% 50.44/33.52 tff(34425,plain,
% 50.44/33.52 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB11)) | (~v201(constB11)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB11)) | (~v201(constB11)))),
% 50.44/33.52 inference(rewrite,[status(thm)],[])).
% 50.44/33.52 tff(34426,plain,
% 50.44/33.52 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB11)) | (~v201(constB11)))),
% 50.44/33.52 inference(quant_inst,[status(thm)],[])).
% 50.44/33.52 tff(34427,plain,
% 50.44/33.52 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB11)) | (~v201(constB11))),
% 50.44/33.52 inference(modus_ponens,[status(thm)],[34426, 34425])).
% 50.44/33.52 tff(34428,plain,
% 50.44/33.52 (~v201(constB11)),
% 50.44/33.52 inference(unit_resolution,[status(thm)],[34427, 8823, 34424])).
% 50.44/33.52 tff(34429,plain,
% 50.44/33.52 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB11) | (~v198(constB11)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB11) | (~v198(constB11)))),
% 50.44/33.52 inference(rewrite,[status(thm)],[])).
% 50.44/33.52 tff(34430,plain,
% 50.44/33.52 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB11) | (~v198(constB11)))),
% 50.44/33.52 inference(quant_inst,[status(thm)],[])).
% 50.44/33.52 tff(34431,plain,
% 50.44/33.52 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB11) | (~v198(constB11))),
% 50.44/33.52 inference(modus_ponens,[status(thm)],[34430, 34429])).
% 50.44/33.52 tff(34432,plain,
% 50.44/33.52 (v197(constB11)),
% 50.44/33.52 inference(unit_resolution,[status(thm)],[34431, 8834, 34424])).
% 50.44/33.52 tff(34433,plain,
% 50.44/33.52 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB11) | v201(constB11) | (~v197(constB11)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB11) | v201(constB11) | (~v197(constB11)))),
% 50.44/33.52 inference(rewrite,[status(thm)],[])).
% 50.44/33.52 tff(34434,plain,
% 50.44/33.52 (((~v197(constB11)) | v201(constB11) | v227(constB11)) <=> (v227(constB11) | v201(constB11) | (~v197(constB11)))),
% 50.44/33.52 inference(rewrite,[status(thm)],[])).
% 50.44/33.52 tff(34435,plain,
% 50.44/33.52 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB11)) | v201(constB11) | v227(constB11))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB11) | v201(constB11) | (~v197(constB11))))),
% 50.44/33.52 inference(monotonicity,[status(thm)],[34434])).
% 50.44/33.52 tff(34436,plain,
% 50.44/33.52 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB11)) | v201(constB11) | v227(constB11))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB11) | v201(constB11) | (~v197(constB11)))),
% 50.44/33.52 inference(transitivity,[status(thm)],[34435, 34433])).
% 50.44/33.52 tff(34437,plain,
% 50.44/33.52 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB11)) | v201(constB11) | v227(constB11))),
% 50.44/33.52 inference(quant_inst,[status(thm)],[])).
% 50.44/33.52 tff(34438,plain,
% 50.44/33.52 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB11) | v201(constB11) | (~v197(constB11))),
% 50.44/33.52 inference(modus_ponens,[status(thm)],[34437, 34436])).
% 50.44/33.52 tff(34439,plain,
% 50.44/33.52 (v227(constB11)),
% 50.44/33.52 inference(unit_resolution,[status(thm)],[34438, 8848, 34432, 34428])).
% 50.44/33.52 tff(34440,plain,
% 50.44/33.52 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB11)) | (~v223(constB11, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB11)) | (~v223(constB11, bitIndex0)))),
% 50.44/33.52 inference(rewrite,[status(thm)],[])).
% 50.44/33.52 tff(34441,plain,
% 50.44/33.52 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB11)) | (~v223(constB11, bitIndex0)))),
% 50.44/33.52 inference(quant_inst,[status(thm)],[])).
% 50.44/33.52 tff(34442,plain,
% 50.44/33.52 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB11)) | (~v223(constB11, bitIndex0))),
% 50.44/33.52 inference(modus_ponens,[status(thm)],[34441, 34440])).
% 50.44/33.52 tff(34443,plain,
% 50.44/33.52 (~v223(constB11, bitIndex0)),
% 50.44/33.52 inference(unit_resolution,[status(thm)],[34442, 8862, 34439])).
% 50.44/33.52 tff(34444,plain,
% 50.44/33.52 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB11)) | (~v199(constB11)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB11)) | (~v199(constB11)))),
% 50.44/33.52 inference(rewrite,[status(thm)],[])).
% 50.44/33.52 tff(34445,plain,
% 50.44/33.52 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB11)) | (~v199(constB11)))),
% 50.44/33.52 inference(quant_inst,[status(thm)],[])).
% 50.44/33.52 tff(34446,plain,
% 50.44/33.52 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB11)) | (~v199(constB11))),
% 50.44/33.52 inference(modus_ponens,[status(thm)],[34445, 34444])).
% 50.44/33.52 tff(34447,plain,
% 50.44/33.52 (~v183(constB11)),
% 50.44/33.52 inference(unit_resolution,[status(thm)],[34446, 8873, 34420])).
% 50.44/33.52 tff(34448,plain,
% 50.44/33.52 (((~![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)))),
% 50.44/33.52 inference(rewrite,[status(thm)],[])).
% 50.44/33.52 tff(34449,plain,
% 50.44/33.52 (((~v197(constB11)) | v183(constB11) | v228(constB11)) <=> (v228(constB11) | v183(constB11) | (~v197(constB11)))),
% 50.44/33.52 inference(rewrite,[status(thm)],[])).
% 50.44/33.52 tff(34450,plain,
% 50.44/33.52 (((~![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))))),
% 50.44/33.52 inference(monotonicity,[status(thm)],[34449])).
% 50.44/33.52 tff(34451,plain,
% 50.44/33.52 (((~![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)))),
% 50.44/33.52 inference(transitivity,[status(thm)],[34450, 34448])).
% 50.44/33.52 tff(34452,plain,
% 50.44/33.52 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB11)) | v183(constB11) | v228(constB11))),
% 50.44/33.52 inference(quant_inst,[status(thm)],[])).
% 50.44/33.52 tff(34453,plain,
% 50.44/33.52 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB11) | v183(constB11) | (~v197(constB11))),
% 50.44/33.52 inference(modus_ponens,[status(thm)],[34452, 34451])).
% 50.44/33.52 tff(34454,plain,
% 50.44/33.52 (v228(constB11)),
% 50.44/33.52 inference(unit_resolution,[status(thm)],[34453, 8887, 34432, 34447])).
% 50.44/33.52 tff(34455,plain,
% 50.44/33.52 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB11)) | (~v223(constB11, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB11)) | (~v223(constB11, bitIndex1)))),
% 50.44/33.52 inference(rewrite,[status(thm)],[])).
% 50.44/33.52 tff(34456,plain,
% 50.44/33.52 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB11)) | (~v223(constB11, bitIndex1)))),
% 50.44/33.52 inference(quant_inst,[status(thm)],[])).
% 50.44/33.52 tff(34457,plain,
% 50.44/33.52 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB11)) | (~v223(constB11, bitIndex1))),
% 50.44/33.52 inference(modus_ponens,[status(thm)],[34456, 34455])).
% 50.44/33.52 tff(34458,plain,
% 50.44/33.52 (~v223(constB11, bitIndex1)),
% 50.44/33.52 inference(unit_resolution,[status(thm)],[34457, 8901, 34454])).
% 50.44/33.52 tff(34459,plain,
% 50.44/33.52 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB11, bitIndex1) | v223(constB11, bitIndex0) | (~v229(constB11)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB11, bitIndex1) | v223(constB11, bitIndex0) | (~v229(constB11)))),
% 50.44/33.52 inference(rewrite,[status(thm)],[])).
% 50.44/33.52 tff(34460,plain,
% 50.44/33.52 ((v223(constB11, bitIndex0) | v223(constB11, bitIndex1) | (~v229(constB11))) <=> (v223(constB11, bitIndex1) | v223(constB11, bitIndex0) | (~v229(constB11)))),
% 50.44/33.52 inference(rewrite,[status(thm)],[])).
% 50.44/33.52 tff(34461,plain,
% 50.44/33.52 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB11, bitIndex0) | v223(constB11, bitIndex1) | (~v229(constB11)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB11, bitIndex1) | v223(constB11, bitIndex0) | (~v229(constB11))))),
% 50.44/33.52 inference(monotonicity,[status(thm)],[34460])).
% 50.44/33.52 tff(34462,plain,
% 50.44/33.52 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB11, bitIndex0) | v223(constB11, bitIndex1) | (~v229(constB11)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB11, bitIndex1) | v223(constB11, bitIndex0) | (~v229(constB11)))),
% 50.44/33.52 inference(transitivity,[status(thm)],[34461, 34459])).
% 50.44/33.52 tff(34463,plain,
% 50.44/33.52 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB11, bitIndex0) | v223(constB11, bitIndex1) | (~v229(constB11)))),
% 50.44/33.52 inference(quant_inst,[status(thm)],[])).
% 50.44/33.52 tff(34464,plain,
% 50.44/33.52 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB11, bitIndex1) | v223(constB11, bitIndex0) | (~v229(constB11))),
% 50.44/33.52 inference(modus_ponens,[status(thm)],[34463, 34462])).
% 50.44/33.52 tff(34465,plain,
% 50.44/33.52 (~v229(constB11)),
% 50.44/33.52 inference(unit_resolution,[status(thm)],[34464, 8915, 34458, 34443])).
% 50.44/33.52 tff(34466,plain,
% 50.44/33.52 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB11) | (~v225(constB11)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB11) | (~v225(constB11)))),
% 50.44/33.52 inference(rewrite,[status(thm)],[])).
% 50.44/33.52 tff(34467,plain,
% 50.44/33.52 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB11) | (~v225(constB11)))),
% 50.44/33.52 inference(quant_inst,[status(thm)],[])).
% 50.44/33.52 tff(34468,plain,
% 50.44/33.52 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB11) | (~v225(constB11))),
% 50.44/33.52 inference(modus_ponens,[status(thm)],[34467, 34466])).
% 50.44/33.52 tff(34469,plain,
% 50.44/33.52 (~v225(constB11)),
% 50.44/33.52 inference(unit_resolution,[status(thm)],[34468, 8929, 34465])).
% 50.44/33.52 tff(34470,plain,
% 50.44/33.52 (((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB11) | (~v224(constB11)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB11) | (~v224(constB11)))),
% 50.44/33.52 inference(rewrite,[status(thm)],[])).
% 50.44/33.52 tff(34471,plain,
% 50.44/33.52 ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB11) | (~v224(constB11)))),
% 50.44/33.52 inference(quant_inst,[status(thm)],[])).
% 50.44/33.52 tff(34472,plain,
% 50.44/33.52 ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB11) | (~v224(constB11))),
% 50.44/33.52 inference(modus_ponens,[status(thm)],[34471, 34470])).
% 50.44/33.52 tff(34473,plain,
% 50.44/33.52 (~v224(constB11)),
% 50.44/33.52 inference(unit_resolution,[status(thm)],[34472, 8940, 34469])).
% 50.44/33.52 tff(34474,plain,
% 50.44/33.52 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB11)) | v223(constB11, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB11)) | v223(constB11, bitIndex1))),
% 50.44/33.52 inference(rewrite,[status(thm)],[])).
% 50.44/33.52 tff(34475,plain,
% 50.44/33.52 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB11)) | v223(constB11, bitIndex1))),
% 50.44/33.52 inference(quant_inst,[status(thm)],[])).
% 50.44/33.52 tff(34476,plain,
% 50.44/33.52 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB11)) | v223(constB11, bitIndex1)),
% 50.44/33.52 inference(modus_ponens,[status(thm)],[34475, 34474])).
% 50.44/33.52 tff(34477,plain,
% 50.44/33.52 (~v222(constB11)),
% 50.44/33.52 inference(unit_resolution,[status(thm)],[34476, 8954, 34458])).
% 50.44/33.52 tff(34478,plain,
% 50.44/33.52 (((~![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)))),
% 50.44/33.52 inference(rewrite,[status(thm)],[])).
% 50.44/33.52 tff(34479,plain,
% 50.44/33.52 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB11) | v224(constB11) | (~v236(constB11)))),
% 50.44/33.52 inference(quant_inst,[status(thm)],[])).
% 50.44/33.52 tff(34480,plain,
% 50.44/33.52 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB11) | v224(constB11) | (~v236(constB11))),
% 50.44/33.52 inference(modus_ponens,[status(thm)],[34479, 34478])).
% 50.44/33.52 tff(34481,plain,
% 50.44/33.52 (v224(constB11) | (~v236(constB11))),
% 50.44/33.52 inference(unit_resolution,[status(thm)],[34480, 8968, 34477])).
% 50.44/33.52 tff(34482,plain,
% 50.44/33.52 (~v236(constB11)),
% 50.44/33.52 inference(unit_resolution,[status(thm)],[34481, 34473])).
% 50.44/33.52 tff(34483,plain,
% 50.44/33.52 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB11) | (~v232(constB11)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB11) | (~v232(constB11)))),
% 50.44/33.52 inference(rewrite,[status(thm)],[])).
% 50.44/33.52 tff(34484,plain,
% 50.44/33.52 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB11) | (~v232(constB11)))),
% 50.44/33.52 inference(quant_inst,[status(thm)],[])).
% 50.44/33.52 tff(34485,plain,
% 50.44/33.52 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB11) | (~v232(constB11))),
% 50.44/33.52 inference(modus_ponens,[status(thm)],[34484, 34483])).
% 50.44/33.52 tff(34486,plain,
% 50.44/33.52 (~v232(constB11)),
% 50.44/33.52 inference(unit_resolution,[status(thm)],[34485, 8980, 34482])).
% 50.44/33.52 tff(34487,plain,
% 50.44/33.52 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB11, bitIndex1)) | (~v140(constB11)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB11, bitIndex1)) | (~v140(constB11)))),
% 50.44/33.52 inference(rewrite,[status(thm)],[])).
% 50.44/33.52 tff(34488,plain,
% 50.44/33.52 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB11, bitIndex1)) | (~v140(constB11)))),
% 50.44/33.52 inference(quant_inst,[status(thm)],[])).
% 50.44/33.52 tff(34489,plain,
% 50.44/33.52 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB11, bitIndex1)) | (~v140(constB11))),
% 50.44/33.52 inference(modus_ponens,[status(thm)],[34488, 34487])).
% 50.44/33.52 tff(34490,plain,
% 50.44/33.52 (~v140(constB11)),
% 50.44/33.52 inference(unit_resolution,[status(thm)],[34489, 9002, 34405])).
% 50.44/33.52 tff(34491,plain,
% 50.44/33.52 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB11, bitIndex0)) | (~v139(constB11)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB11, bitIndex0)) | (~v139(constB11)))),
% 50.44/33.52 inference(rewrite,[status(thm)],[])).
% 50.44/33.52 tff(34492,plain,
% 50.44/33.52 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB11, bitIndex0)) | (~v139(constB11)))),
% 50.44/33.52 inference(quant_inst,[status(thm)],[])).
% 50.44/33.52 tff(34493,plain,
% 50.44/33.52 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB11, bitIndex0)) | (~v139(constB11))),
% 50.44/33.52 inference(modus_ponens,[status(thm)],[34492, 34491])).
% 50.44/33.52 tff(34494,plain,
% 50.44/33.52 (~v139(constB11)),
% 50.44/33.52 inference(unit_resolution,[status(thm)],[34493, 8991, 34409])).
% 50.44/33.52 tff(34495,plain,
% 50.44/33.52 (((~![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)))),
% 50.44/33.52 inference(rewrite,[status(thm)],[])).
% 50.44/33.52 tff(34496,plain,
% 50.44/33.52 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB11) | v139(constB11) | (~v148(constB11)))),
% 50.44/33.52 inference(quant_inst,[status(thm)],[])).
% 50.44/33.52 tff(34497,plain,
% 50.44/33.52 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB11) | v139(constB11) | (~v148(constB11))),
% 50.44/33.52 inference(modus_ponens,[status(thm)],[34496, 34495])).
% 50.44/33.52 tff(34498,plain,
% 50.44/33.52 (~v148(constB11)),
% 50.44/33.52 inference(unit_resolution,[status(thm)],[34497, 9016, 34494, 34490])).
% 50.44/33.52 tff(34499,plain,
% 50.44/33.52 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB11) | (~v197(constB11)) | v148(constB11))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB11) | (~v197(constB11)) | v148(constB11))),
% 50.44/33.52 inference(rewrite,[status(thm)],[])).
% 50.44/33.52 tff(34500,plain,
% 50.44/33.52 ((v148(constB11) | (~v197(constB11)) | v252(constB11)) <=> (v252(constB11) | (~v197(constB11)) | v148(constB11))),
% 50.44/33.52 inference(rewrite,[status(thm)],[])).
% 50.44/33.52 tff(34501,plain,
% 50.44/33.52 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB11) | (~v197(constB11)) | v252(constB11))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB11) | (~v197(constB11)) | v148(constB11)))),
% 50.44/33.52 inference(monotonicity,[status(thm)],[34500])).
% 50.44/33.52 tff(34502,plain,
% 50.44/33.52 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB11) | (~v197(constB11)) | v252(constB11))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB11) | (~v197(constB11)) | v148(constB11))),
% 50.44/33.52 inference(transitivity,[status(thm)],[34501, 34499])).
% 50.44/33.52 tff(34503,plain,
% 50.44/33.52 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB11) | (~v197(constB11)) | v252(constB11))),
% 50.44/33.52 inference(quant_inst,[status(thm)],[])).
% 50.44/33.52 tff(34504,plain,
% 50.44/33.52 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB11) | (~v197(constB11)) | v148(constB11)),
% 50.44/33.52 inference(modus_ponens,[status(thm)],[34503, 34502])).
% 50.44/33.52 tff(34505,plain,
% 50.44/33.52 (v252(constB11) | (~v197(constB11))),
% 50.44/33.52 inference(unit_resolution,[status(thm)],[34504, 9033, 34498])).
% 50.44/33.52 tff(34506,plain,
% 50.44/33.52 (v252(constB11)),
% 50.44/33.52 inference(unit_resolution,[status(thm)],[34505, 34432])).
% 50.44/33.52 tff(34507,plain,
% 50.44/33.52 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB11)) | (~v223(constB11, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB11)) | (~v223(constB11, bitIndex3)))),
% 50.44/33.52 inference(rewrite,[status(thm)],[])).
% 50.44/33.52 tff(34508,plain,
% 50.44/33.52 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB11)) | (~v223(constB11, bitIndex3)))),
% 50.44/33.52 inference(quant_inst,[status(thm)],[])).
% 50.44/33.52 tff(34509,plain,
% 50.44/33.52 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB11)) | (~v223(constB11, bitIndex3))),
% 50.44/33.52 inference(modus_ponens,[status(thm)],[34508, 34507])).
% 50.44/33.52 tff(34510,plain,
% 50.44/33.52 (~v223(constB11, bitIndex3)),
% 50.44/33.52 inference(unit_resolution,[status(thm)],[34509, 9048, 34506])).
% 50.44/33.52 tff(34511,plain,
% 50.44/33.52 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB11)) | v223(constB11, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB11)) | v223(constB11, bitIndex3))),
% 50.44/33.52 inference(rewrite,[status(thm)],[])).
% 50.44/33.52 tff(34512,plain,
% 50.44/33.52 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB11)) | v223(constB11, bitIndex3))),
% 50.44/33.52 inference(quant_inst,[status(thm)],[])).
% 50.44/33.52 tff(34513,plain,
% 50.44/33.52 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB11)) | v223(constB11, bitIndex3)),
% 50.44/33.52 inference(modus_ponens,[status(thm)],[34512, 34511])).
% 50.44/33.52 tff(34514,plain,
% 50.44/33.52 (~v237(constB11)),
% 50.44/33.52 inference(unit_resolution,[status(thm)],[34513, 9062, 34510])).
% 50.44/33.52 tff(34515,plain,
% 50.44/33.52 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB11) | (~v248(constB11)) | v232(constB11))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB11) | (~v248(constB11)) | v232(constB11))),
% 50.44/33.52 inference(rewrite,[status(thm)],[])).
% 50.44/33.52 tff(34516,plain,
% 50.44/33.52 ((v237(constB11) | v232(constB11) | (~v248(constB11))) <=> (v237(constB11) | (~v248(constB11)) | v232(constB11))),
% 50.44/33.52 inference(rewrite,[status(thm)],[])).
% 50.44/33.52 tff(34517,plain,
% 50.44/33.52 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB11) | v232(constB11) | (~v248(constB11)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB11) | (~v248(constB11)) | v232(constB11)))),
% 50.44/33.52 inference(monotonicity,[status(thm)],[34516])).
% 50.44/33.52 tff(34518,plain,
% 50.44/33.52 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB11) | v232(constB11) | (~v248(constB11)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB11) | (~v248(constB11)) | v232(constB11))),
% 50.44/33.52 inference(transitivity,[status(thm)],[34517, 34515])).
% 50.44/33.52 tff(34519,plain,
% 50.44/33.52 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB11) | v232(constB11) | (~v248(constB11)))),
% 50.44/33.52 inference(quant_inst,[status(thm)],[])).
% 50.44/33.52 tff(34520,plain,
% 50.44/33.52 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB11) | (~v248(constB11)) | v232(constB11)),
% 50.44/33.52 inference(modus_ponens,[status(thm)],[34519, 34518])).
% 50.44/33.52 tff(34521,plain,
% 50.44/33.52 ((~v248(constB11)) | v232(constB11)),
% 50.44/33.52 inference(unit_resolution,[status(thm)],[34520, 9076, 34514])).
% 50.44/33.52 tff(34522,plain,
% 50.44/33.52 (~v248(constB11)),
% 50.44/33.52 inference(unit_resolution,[status(thm)],[34521, 34486])).
% 50.44/33.52 tff(34523,plain,
% 50.44/33.52 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB11) | (~v244(constB11)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB11) | (~v244(constB11)))),
% 50.44/33.52 inference(rewrite,[status(thm)],[])).
% 50.44/33.52 tff(34524,plain,
% 50.44/33.52 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB11) | (~v244(constB11)))),
% 50.44/33.52 inference(quant_inst,[status(thm)],[])).
% 50.44/33.52 tff(34525,plain,
% 50.44/33.52 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB11) | (~v244(constB11))),
% 50.44/33.52 inference(modus_ponens,[status(thm)],[34524, 34523])).
% 50.44/33.52 tff(34526,plain,
% 50.44/33.52 (~v244(constB11)),
% 50.44/33.52 inference(unit_resolution,[status(thm)],[34525, 11335, 34522])).
% 50.44/33.52 tff(34527,plain,
% 50.44/33.52 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB11) | (~v216(constB11, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB11) | (~v216(constB11, bitIndex1)))),
% 50.44/33.52 inference(rewrite,[status(thm)],[])).
% 50.44/33.52 tff(34528,plain,
% 50.44/33.52 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB11) | (~v216(constB11, bitIndex1)))),
% 50.44/33.52 inference(quant_inst,[status(thm)],[])).
% 50.44/33.52 tff(34529,plain,
% 50.44/33.52 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB11) | (~v216(constB11, bitIndex1))),
% 50.44/33.52 inference(modus_ponens,[status(thm)],[34528, 34527])).
% 50.44/33.52 tff(34530,plain,
% 50.44/33.52 (~v216(constB11, bitIndex1)),
% 50.44/33.52 inference(unit_resolution,[status(thm)],[34529, 11346, 34526])).
% 50.44/33.52 tff(34531,plain,
% 50.44/33.52 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB11, bitIndex1) | (~v254(constB11)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB11, bitIndex1) | (~v254(constB11)))),
% 50.44/33.52 inference(rewrite,[status(thm)],[])).
% 50.44/33.52 tff(34532,plain,
% 50.44/33.52 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB11, bitIndex1) | (~v254(constB11)))),
% 50.44/33.52 inference(quant_inst,[status(thm)],[])).
% 50.44/33.52 tff(34533,plain,
% 50.44/33.52 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB11, bitIndex1) | (~v254(constB11))),
% 50.44/33.52 inference(modus_ponens,[status(thm)],[34532, 34531])).
% 50.44/33.52 tff(34534,plain,
% 50.44/33.52 (~v254(constB11)),
% 50.44/33.52 inference(unit_resolution,[status(thm)],[34533, 11357, 34530])).
% 50.44/33.52 tff(34535,plain,
% 50.44/33.52 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB11) | (~v231(constB11)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB11) | (~v231(constB11)))),
% 50.44/33.52 inference(rewrite,[status(thm)],[])).
% 50.44/33.52 tff(34536,plain,
% 50.44/33.52 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB11) | (~v231(constB11)))),
% 50.44/33.52 inference(quant_inst,[status(thm)],[])).
% 50.44/33.52 tff(34537,plain,
% 50.44/33.52 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB11) | (~v231(constB11))),
% 50.44/33.52 inference(modus_ponens,[status(thm)],[34536, 34535])).
% 50.44/33.52 tff(34538,plain,
% 50.44/33.52 (~v231(constB11)),
% 50.44/33.52 inference(unit_resolution,[status(thm)],[34537, 11162, 34514])).
% 50.44/33.52 tff(34539,plain,
% 50.44/33.52 (((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB11) | (~v221(constB11)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB11) | (~v221(constB11)))),
% 50.44/33.52 inference(rewrite,[status(thm)],[])).
% 50.44/33.52 tff(34540,plain,
% 50.44/33.52 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB11) | (~v221(constB11)))),
% 50.44/33.52 inference(quant_inst,[status(thm)],[])).
% 50.44/33.52 tff(34541,plain,
% 50.44/33.52 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB11) | (~v221(constB11))),
% 50.44/33.52 inference(modus_ponens,[status(thm)],[34540, 34539])).
% 50.44/33.52 tff(34542,plain,
% 50.44/33.52 (~v221(constB11)),
% 50.44/33.52 inference(unit_resolution,[status(thm)],[34541, 11192, 34477])).
% 50.44/33.52 tff(34543,plain,
% 50.44/33.52 (((~![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)))),
% 50.44/33.52 inference(rewrite,[status(thm)],[])).
% 50.44/33.52 tff(34544,plain,
% 50.44/33.52 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB11) | v231(constB11) | (~v243(constB11)))),
% 50.44/33.52 inference(quant_inst,[status(thm)],[])).
% 50.44/33.52 tff(34545,plain,
% 50.44/33.52 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB11) | v231(constB11) | (~v243(constB11))),
% 50.44/33.52 inference(modus_ponens,[status(thm)],[34544, 34543])).
% 50.44/33.52 tff(34546,plain,
% 50.44/33.52 (~v243(constB11)),
% 50.44/33.52 inference(unit_resolution,[status(thm)],[34545, 11206, 34542, 34538])).
% 50.44/33.52 tff(34547,plain,
% 50.44/33.52 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB11) | v255(constB11))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB11) | v255(constB11))),
% 50.44/33.52 inference(rewrite,[status(thm)],[])).
% 50.44/33.52 tff(34548,plain,
% 50.44/33.52 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB11) | v255(constB11))),
% 50.44/33.52 inference(quant_inst,[status(thm)],[])).
% 50.44/33.52 tff(34549,plain,
% 50.44/33.52 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB11) | v255(constB11)),
% 50.44/33.52 inference(modus_ponens,[status(thm)],[34548, 34547])).
% 50.44/33.52 tff(34550,plain,
% 50.44/33.52 (v255(constB11)),
% 50.44/33.52 inference(unit_resolution,[status(thm)],[34549, 11222, 34546])).
% 50.44/33.52 tff(34551,plain,
% 50.44/33.52 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB11)) | (~v216(constB11, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB11)) | (~v216(constB11, bitIndex2)))),
% 50.44/33.52 inference(rewrite,[status(thm)],[])).
% 50.44/33.52 tff(34552,plain,
% 50.44/33.52 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB11)) | (~v216(constB11, bitIndex2)))),
% 50.44/33.52 inference(quant_inst,[status(thm)],[])).
% 50.44/33.52 tff(34553,plain,
% 50.44/33.52 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB11)) | (~v216(constB11, bitIndex2))),
% 50.44/33.52 inference(modus_ponens,[status(thm)],[34552, 34551])).
% 50.44/33.52 tff(34554,plain,
% 50.44/33.52 (~v216(constB11, bitIndex2)),
% 50.44/33.52 inference(unit_resolution,[status(thm)],[34553, 11237, 34550])).
% 50.44/33.52 tff(34555,plain,
% 50.44/33.52 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB11, bitIndex2) | (~v215(constB11)) | v254(constB11))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB11, bitIndex2) | (~v215(constB11)) | v254(constB11))),
% 50.44/33.52 inference(rewrite,[status(thm)],[])).
% 50.44/33.52 tff(34556,plain,
% 50.44/33.52 ((v216(constB11, bitIndex2) | v254(constB11) | (~v215(constB11))) <=> (v216(constB11, bitIndex2) | (~v215(constB11)) | v254(constB11))),
% 50.44/33.52 inference(rewrite,[status(thm)],[])).
% 50.44/33.52 tff(34557,plain,
% 50.44/33.52 (((~![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)))) | (v216(constB11, bitIndex2) | (~v215(constB11)) | v254(constB11)))),
% 50.44/33.52 inference(monotonicity,[status(thm)],[34556])).
% 50.44/33.52 tff(34558,plain,
% 50.44/33.52 (((~![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)))) | v216(constB11, bitIndex2) | (~v215(constB11)) | v254(constB11))),
% 50.44/33.53 inference(transitivity,[status(thm)],[34557, 34555])).
% 50.44/33.53 tff(34559,plain,
% 50.44/33.53 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB11, bitIndex2) | v254(constB11) | (~v215(constB11)))),
% 50.44/33.53 inference(quant_inst,[status(thm)],[])).
% 50.44/33.53 tff(34560,plain,
% 50.44/33.53 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB11, bitIndex2) | (~v215(constB11)) | v254(constB11)),
% 50.44/33.53 inference(modus_ponens,[status(thm)],[34559, 34558])).
% 50.44/33.53 tff(34561,plain,
% 50.44/33.53 ((~v215(constB11)) | v254(constB11)),
% 50.44/33.53 inference(unit_resolution,[status(thm)],[34560, 11278, 34554])).
% 50.44/33.53 tff(34562,plain,
% 50.44/33.53 (~v215(constB11)),
% 50.44/33.53 inference(unit_resolution,[status(thm)],[34561, 34534])).
% 50.44/33.53 tff(34563,plain,
% 50.44/33.53 ($false),
% 50.44/33.53 inference(unit_resolution,[status(thm)],[34562, 34397])).
% 50.44/33.53 tff(34564,plain,(~(constB11 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.44/33.53 tff(34565,assumption,(constB81 = sK0_VarCurr), introduced(assumption)).
% 50.44/33.53 tff(34566,plain,
% 50.44/33.53 (v215(constB81) <=> v215(sK0_VarCurr)),
% 50.44/33.53 inference(monotonicity,[status(thm)],[34565])).
% 50.44/33.53 tff(34567,plain,
% 50.44/33.53 (v215(sK0_VarCurr) <=> v215(constB81)),
% 50.44/33.53 inference(symmetry,[status(thm)],[34566])).
% 50.44/33.53 tff(34568,plain,
% 50.44/33.53 (v215(constB81)),
% 50.44/33.53 inference(modus_ponens,[status(thm)],[11268, 34567])).
% 50.44/33.53 tff(34569,plain,
% 50.44/33.53 (((~![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)))),
% 50.44/33.53 inference(rewrite,[status(thm)],[])).
% 50.44/33.53 tff(34570,plain,
% 50.44/33.53 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB81, bitIndex2) | (~v88(constB81, bitIndex2)))),
% 50.44/33.53 inference(quant_inst,[status(thm)],[])).
% 50.44/33.53 tff(34571,plain,
% 50.44/33.53 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB81, bitIndex2) | (~v88(constB81, bitIndex2))),
% 50.44/33.53 inference(modus_ponens,[status(thm)],[34570, 34569])).
% 50.44/33.53 tff(34572,plain,
% 50.44/33.53 (~v88(constB81, bitIndex2)),
% 50.44/33.53 inference(unit_resolution,[status(thm)],[34571, 8769, 12630])).
% 50.44/33.53 tff(34573,plain,
% 50.44/33.53 (((~![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))),
% 50.44/33.53 inference(rewrite,[status(thm)],[])).
% 50.44/33.53 tff(34574,plain,
% 50.44/33.53 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB81, bitIndex1)) | v88(constB81, bitIndex1))),
% 50.44/33.53 inference(quant_inst,[status(thm)],[])).
% 50.44/33.53 tff(34575,plain,
% 50.44/33.53 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB81, bitIndex1)) | v88(constB81, bitIndex1)),
% 50.44/33.53 inference(modus_ponens,[status(thm)],[34574, 34573])).
% 50.44/33.53 tff(34576,plain,
% 50.44/33.53 (v88(constB81, bitIndex1)),
% 50.44/33.53 inference(unit_resolution,[status(thm)],[34575, 8707, 12661])).
% 50.44/33.53 tff(34577,plain,
% 50.44/33.53 (((~![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))),
% 50.44/33.53 inference(rewrite,[status(thm)],[])).
% 50.44/33.53 tff(34578,plain,
% 50.44/33.53 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | ((~v90(constB81, bitIndex0)) | v88(constB81, bitIndex0))),
% 50.44/33.53 inference(quant_inst,[status(thm)],[])).
% 50.44/33.53 tff(34579,plain,
% 50.44/33.53 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex0)) | v88(VarCurr, bitIndex0))) | (~v90(constB81, bitIndex0)) | v88(constB81, bitIndex0)),
% 50.44/33.53 inference(modus_ponens,[status(thm)],[34578, 34577])).
% 50.44/33.53 tff(34580,plain,
% 50.44/33.53 (v88(constB81, bitIndex0)),
% 50.44/33.53 inference(unit_resolution,[status(thm)],[34579, 8662, 12692])).
% 50.44/33.53 tff(34581,plain,
% 50.44/33.53 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB81, bitIndex2) | (~v88(constB81, bitIndex1)) | v141(constB81) | (~v88(constB81, bitIndex0)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB81, bitIndex2) | (~v88(constB81, bitIndex1)) | v141(constB81) | (~v88(constB81, bitIndex0)))),
% 50.44/33.53 inference(rewrite,[status(thm)],[])).
% 50.44/33.53 tff(34582,plain,
% 50.44/33.53 ((v88(constB81, bitIndex2) | (~v88(constB81, bitIndex1)) | (~v88(constB81, bitIndex0)) | v141(constB81)) <=> (v88(constB81, bitIndex2) | (~v88(constB81, bitIndex1)) | v141(constB81) | (~v88(constB81, bitIndex0)))),
% 50.44/33.53 inference(rewrite,[status(thm)],[])).
% 50.44/33.53 tff(34583,plain,
% 50.44/33.53 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB81, bitIndex2) | (~v88(constB81, bitIndex1)) | (~v88(constB81, bitIndex0)) | v141(constB81))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB81, bitIndex2) | (~v88(constB81, bitIndex1)) | v141(constB81) | (~v88(constB81, bitIndex0))))),
% 50.44/33.53 inference(monotonicity,[status(thm)],[34582])).
% 50.44/33.53 tff(34584,plain,
% 50.44/33.53 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB81, bitIndex2) | (~v88(constB81, bitIndex1)) | (~v88(constB81, bitIndex0)) | v141(constB81))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB81, bitIndex2) | (~v88(constB81, bitIndex1)) | v141(constB81) | (~v88(constB81, bitIndex0)))),
% 50.44/33.53 inference(transitivity,[status(thm)],[34583, 34581])).
% 50.44/33.53 tff(34585,plain,
% 50.44/33.53 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | (v88(constB81, bitIndex2) | (~v88(constB81, bitIndex1)) | (~v88(constB81, bitIndex0)) | v141(constB81))),
% 50.44/33.53 inference(quant_inst,[status(thm)],[])).
% 50.44/33.53 tff(34586,plain,
% 50.44/33.53 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | (~v88(VarCurr, bitIndex0)) | v141(VarCurr))) | v88(constB81, bitIndex2) | (~v88(constB81, bitIndex1)) | v141(constB81) | (~v88(constB81, bitIndex0))),
% 50.44/33.53 inference(modus_ponens,[status(thm)],[34585, 34584])).
% 50.44/33.53 tff(34587,plain,
% 50.44/33.53 (v141(constB81)),
% 50.44/33.53 inference(unit_resolution,[status(thm)],[34586, 8783, 34580, 34576, 34572])).
% 50.44/33.53 tff(34588,plain,
% 50.44/33.53 (((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB81) | (~v141(constB81)))) <=> ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB81) | (~v141(constB81)))),
% 50.44/33.53 inference(rewrite,[status(thm)],[])).
% 50.44/33.53 tff(34589,plain,
% 50.44/33.53 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | (v199(constB81) | (~v141(constB81)))),
% 50.44/33.53 inference(quant_inst,[status(thm)],[])).
% 50.44/33.53 tff(34590,plain,
% 50.44/33.53 ((~![VarCurr: $i] : (v199(VarCurr) | (~v141(VarCurr)))) | v199(constB81) | (~v141(constB81))),
% 50.44/33.53 inference(modus_ponens,[status(thm)],[34589, 34588])).
% 50.44/33.53 tff(34591,plain,
% 50.44/33.53 (v199(constB81)),
% 50.44/33.53 inference(unit_resolution,[status(thm)],[34590, 8798, 34587])).
% 50.44/33.53 tff(34592,plain,
% 50.44/33.53 (((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB81) | (~v199(constB81)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB81) | (~v199(constB81)))),
% 50.44/33.53 inference(rewrite,[status(thm)],[])).
% 50.44/33.53 tff(34593,plain,
% 50.44/33.53 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | (v198(constB81) | (~v199(constB81)))),
% 50.44/33.53 inference(quant_inst,[status(thm)],[])).
% 50.44/33.53 tff(34594,plain,
% 50.44/33.53 ((~![VarCurr: $i] : (v198(VarCurr) | (~v199(VarCurr)))) | v198(constB81) | (~v199(constB81))),
% 50.44/33.53 inference(modus_ponens,[status(thm)],[34593, 34592])).
% 50.44/33.53 tff(34595,plain,
% 50.44/33.53 (v198(constB81)),
% 50.44/33.53 inference(unit_resolution,[status(thm)],[34594, 8809, 34591])).
% 50.44/33.53 tff(34596,plain,
% 50.44/33.53 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB81)) | (~v201(constB81)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB81)) | (~v201(constB81)))),
% 50.44/33.53 inference(rewrite,[status(thm)],[])).
% 50.44/33.53 tff(34597,plain,
% 50.44/33.53 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB81)) | (~v201(constB81)))),
% 50.44/33.53 inference(quant_inst,[status(thm)],[])).
% 50.44/33.53 tff(34598,plain,
% 50.44/33.53 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB81)) | (~v201(constB81))),
% 50.44/33.53 inference(modus_ponens,[status(thm)],[34597, 34596])).
% 50.44/33.53 tff(34599,plain,
% 50.44/33.53 (~v201(constB81)),
% 50.44/33.53 inference(unit_resolution,[status(thm)],[34598, 8823, 34595])).
% 50.44/33.53 tff(34600,plain,
% 50.44/33.53 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB81) | (~v198(constB81)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB81) | (~v198(constB81)))),
% 50.44/33.53 inference(rewrite,[status(thm)],[])).
% 50.44/33.53 tff(34601,plain,
% 50.44/33.53 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB81) | (~v198(constB81)))),
% 50.44/33.53 inference(quant_inst,[status(thm)],[])).
% 50.44/33.53 tff(34602,plain,
% 50.44/33.53 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB81) | (~v198(constB81))),
% 50.44/33.53 inference(modus_ponens,[status(thm)],[34601, 34600])).
% 50.44/33.53 tff(34603,plain,
% 50.44/33.53 (v197(constB81)),
% 50.44/33.53 inference(unit_resolution,[status(thm)],[34602, 8834, 34595])).
% 50.44/33.53 tff(34604,plain,
% 50.44/33.53 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB81) | (~v197(constB81)) | v201(constB81))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB81) | (~v197(constB81)) | v201(constB81))),
% 50.44/33.53 inference(rewrite,[status(thm)],[])).
% 50.44/33.53 tff(34605,plain,
% 50.44/33.53 (((~v197(constB81)) | v201(constB81) | v227(constB81)) <=> (v227(constB81) | (~v197(constB81)) | v201(constB81))),
% 50.44/33.53 inference(rewrite,[status(thm)],[])).
% 50.44/33.53 tff(34606,plain,
% 50.44/33.53 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB81)) | v201(constB81) | v227(constB81))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB81) | (~v197(constB81)) | v201(constB81)))),
% 50.44/33.53 inference(monotonicity,[status(thm)],[34605])).
% 50.44/33.53 tff(34607,plain,
% 50.44/33.53 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB81)) | v201(constB81) | v227(constB81))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB81) | (~v197(constB81)) | v201(constB81))),
% 50.44/33.53 inference(transitivity,[status(thm)],[34606, 34604])).
% 50.44/33.53 tff(34608,plain,
% 50.44/33.53 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB81)) | v201(constB81) | v227(constB81))),
% 50.44/33.53 inference(quant_inst,[status(thm)],[])).
% 50.44/33.53 tff(34609,plain,
% 50.44/33.53 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB81) | (~v197(constB81)) | v201(constB81)),
% 50.44/33.53 inference(modus_ponens,[status(thm)],[34608, 34607])).
% 50.44/33.53 tff(34610,plain,
% 50.44/33.53 (v227(constB81)),
% 50.44/33.53 inference(unit_resolution,[status(thm)],[34609, 8848, 34603, 34599])).
% 50.44/33.53 tff(34611,plain,
% 50.44/33.53 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB81)) | (~v223(constB81, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB81)) | (~v223(constB81, bitIndex0)))),
% 50.44/33.53 inference(rewrite,[status(thm)],[])).
% 50.44/33.53 tff(34612,plain,
% 50.44/33.53 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB81)) | (~v223(constB81, bitIndex0)))),
% 50.44/33.53 inference(quant_inst,[status(thm)],[])).
% 50.44/33.53 tff(34613,plain,
% 50.44/33.53 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB81)) | (~v223(constB81, bitIndex0))),
% 50.44/33.53 inference(modus_ponens,[status(thm)],[34612, 34611])).
% 50.44/33.53 tff(34614,plain,
% 50.44/33.53 (~v223(constB81, bitIndex0)),
% 50.44/33.53 inference(unit_resolution,[status(thm)],[34613, 8862, 34610])).
% 50.44/33.53 tff(34615,plain,
% 50.44/33.53 (((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB81)) | (~v199(constB81)))) <=> ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB81)) | (~v199(constB81)))),
% 50.44/33.53 inference(rewrite,[status(thm)],[])).
% 50.44/33.53 tff(34616,plain,
% 50.44/33.53 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | ((~v183(constB81)) | (~v199(constB81)))),
% 50.44/33.53 inference(quant_inst,[status(thm)],[])).
% 50.44/33.53 tff(34617,plain,
% 50.44/33.53 ((~![VarCurr: $i] : ((~v183(VarCurr)) | (~v199(VarCurr)))) | (~v183(constB81)) | (~v199(constB81))),
% 50.44/33.53 inference(modus_ponens,[status(thm)],[34616, 34615])).
% 50.44/33.53 tff(34618,plain,
% 50.44/33.53 (~v183(constB81)),
% 50.44/33.53 inference(unit_resolution,[status(thm)],[34617, 8873, 34591])).
% 50.44/33.53 tff(34619,plain,
% 50.44/33.53 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB81) | (~v197(constB81)) | v183(constB81))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB81) | (~v197(constB81)) | v183(constB81))),
% 50.44/33.53 inference(rewrite,[status(thm)],[])).
% 50.44/33.53 tff(34620,plain,
% 50.44/33.53 (((~v197(constB81)) | v183(constB81) | v228(constB81)) <=> (v228(constB81) | (~v197(constB81)) | v183(constB81))),
% 50.44/33.53 inference(rewrite,[status(thm)],[])).
% 50.44/33.53 tff(34621,plain,
% 50.44/33.53 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB81)) | v183(constB81) | v228(constB81))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | (v228(constB81) | (~v197(constB81)) | v183(constB81)))),
% 50.44/33.53 inference(monotonicity,[status(thm)],[34620])).
% 50.44/33.53 tff(34622,plain,
% 50.44/33.53 (((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB81)) | v183(constB81) | v228(constB81))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB81) | (~v197(constB81)) | v183(constB81))),
% 50.44/33.53 inference(transitivity,[status(thm)],[34621, 34619])).
% 50.44/33.53 tff(34623,plain,
% 50.44/33.53 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | ((~v197(constB81)) | v183(constB81) | v228(constB81))),
% 50.44/33.53 inference(quant_inst,[status(thm)],[])).
% 50.44/33.53 tff(34624,plain,
% 50.44/33.53 ((~![VarNext: $i] : ((~v197(VarNext)) | v183(VarNext) | v228(VarNext))) | v228(constB81) | (~v197(constB81)) | v183(constB81)),
% 50.44/33.53 inference(modus_ponens,[status(thm)],[34623, 34622])).
% 50.44/33.53 tff(34625,plain,
% 50.44/33.53 (v228(constB81)),
% 50.44/33.53 inference(unit_resolution,[status(thm)],[34624, 8887, 34603, 34618])).
% 50.44/33.53 tff(34626,plain,
% 50.44/33.53 (((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB81)) | (~v223(constB81, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB81)) | (~v223(constB81, bitIndex1)))),
% 50.44/33.53 inference(rewrite,[status(thm)],[])).
% 50.44/33.53 tff(34627,plain,
% 50.44/33.53 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | ((~v228(constB81)) | (~v223(constB81, bitIndex1)))),
% 50.44/33.53 inference(quant_inst,[status(thm)],[])).
% 50.44/33.53 tff(34628,plain,
% 50.44/33.53 ((~![VarCurr: $i] : ((~v228(VarCurr)) | (~v223(VarCurr, bitIndex1)))) | (~v228(constB81)) | (~v223(constB81, bitIndex1))),
% 50.44/33.53 inference(modus_ponens,[status(thm)],[34627, 34626])).
% 50.44/33.53 tff(34629,plain,
% 50.44/33.53 (~v223(constB81, bitIndex1)),
% 50.44/33.53 inference(unit_resolution,[status(thm)],[34628, 8901, 34625])).
% 50.44/33.53 tff(34630,plain,
% 50.44/33.53 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB81, bitIndex0) | v223(constB81, bitIndex1) | (~v229(constB81)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB81, bitIndex0) | v223(constB81, bitIndex1) | (~v229(constB81)))),
% 50.44/33.53 inference(rewrite,[status(thm)],[])).
% 50.44/33.53 tff(34631,plain,
% 50.44/33.53 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | (v223(constB81, bitIndex0) | v223(constB81, bitIndex1) | (~v229(constB81)))),
% 50.44/33.53 inference(quant_inst,[status(thm)],[])).
% 50.44/33.53 tff(34632,plain,
% 50.44/33.53 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | v223(VarCurr, bitIndex1) | (~v229(VarCurr)))) | v223(constB81, bitIndex0) | v223(constB81, bitIndex1) | (~v229(constB81))),
% 50.44/33.53 inference(modus_ponens,[status(thm)],[34631, 34630])).
% 50.44/33.53 tff(34633,plain,
% 50.44/33.53 (~v229(constB81)),
% 50.44/33.53 inference(unit_resolution,[status(thm)],[34632, 8915, 34629, 34614])).
% 50.44/33.53 tff(34634,plain,
% 50.44/33.53 (((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB81) | (~v225(constB81)))) <=> ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB81) | (~v225(constB81)))),
% 50.44/33.53 inference(rewrite,[status(thm)],[])).
% 50.44/33.53 tff(34635,plain,
% 50.44/33.53 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | (v229(constB81) | (~v225(constB81)))),
% 50.44/33.53 inference(quant_inst,[status(thm)],[])).
% 50.44/33.53 tff(34636,plain,
% 50.44/33.53 ((~![VarCurr: $i] : (v229(VarCurr) | (~v225(VarCurr)))) | v229(constB81) | (~v225(constB81))),
% 50.44/33.53 inference(modus_ponens,[status(thm)],[34635, 34634])).
% 50.44/33.53 tff(34637,plain,
% 50.44/33.53 (~v225(constB81)),
% 50.44/33.53 inference(unit_resolution,[status(thm)],[34636, 8929, 34633])).
% 50.44/33.53 tff(34638,plain,
% 50.44/33.53 (((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB81) | (~v224(constB81)))) <=> ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB81) | (~v224(constB81)))),
% 50.44/33.53 inference(rewrite,[status(thm)],[])).
% 50.44/33.53 tff(34639,plain,
% 50.44/33.53 ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | (v225(constB81) | (~v224(constB81)))),
% 50.44/33.53 inference(quant_inst,[status(thm)],[])).
% 50.44/33.53 tff(34640,plain,
% 50.44/33.53 ((~![VarCurr: $i] : (v225(VarCurr) | (~v224(VarCurr)))) | v225(constB81) | (~v224(constB81))),
% 50.44/33.53 inference(modus_ponens,[status(thm)],[34639, 34638])).
% 50.44/33.53 tff(34641,plain,
% 50.44/33.53 (~v224(constB81)),
% 50.44/33.53 inference(unit_resolution,[status(thm)],[34640, 8940, 34637])).
% 50.44/33.53 tff(34642,plain,
% 50.44/33.53 (((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB81)) | v223(constB81, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB81)) | v223(constB81, bitIndex1))),
% 50.44/33.53 inference(rewrite,[status(thm)],[])).
% 50.44/33.53 tff(34643,plain,
% 50.44/33.53 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | ((~v222(constB81)) | v223(constB81, bitIndex1))),
% 50.44/33.53 inference(quant_inst,[status(thm)],[])).
% 50.44/33.53 tff(34644,plain,
% 50.44/33.53 ((~![VarCurr: $i] : ((~v222(VarCurr)) | v223(VarCurr, bitIndex1))) | (~v222(constB81)) | v223(constB81, bitIndex1)),
% 50.44/33.53 inference(modus_ponens,[status(thm)],[34643, 34642])).
% 50.44/33.53 tff(34645,plain,
% 50.44/33.53 (~v222(constB81)),
% 50.44/33.53 inference(unit_resolution,[status(thm)],[34644, 8954, 34629])).
% 50.44/33.53 tff(34646,plain,
% 50.44/33.53 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB81) | v224(constB81) | (~v236(constB81)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB81) | v224(constB81) | (~v236(constB81)))),
% 50.44/33.53 inference(rewrite,[status(thm)],[])).
% 50.44/33.53 tff(34647,plain,
% 50.44/33.53 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB81) | v224(constB81) | (~v236(constB81)))),
% 50.44/33.53 inference(quant_inst,[status(thm)],[])).
% 50.44/33.53 tff(34648,plain,
% 50.44/33.53 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB81) | v224(constB81) | (~v236(constB81))),
% 50.44/33.53 inference(modus_ponens,[status(thm)],[34647, 34646])).
% 50.44/33.53 tff(34649,plain,
% 50.44/33.53 (v224(constB81) | (~v236(constB81))),
% 50.44/33.53 inference(unit_resolution,[status(thm)],[34648, 8968, 34645])).
% 50.44/33.53 tff(34650,plain,
% 50.44/33.53 (~v236(constB81)),
% 50.44/33.53 inference(unit_resolution,[status(thm)],[34649, 34641])).
% 50.44/33.53 tff(34651,plain,
% 50.44/33.53 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB81) | (~v232(constB81)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB81) | (~v232(constB81)))),
% 50.44/33.53 inference(rewrite,[status(thm)],[])).
% 50.44/33.53 tff(34652,plain,
% 50.44/33.53 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB81) | (~v232(constB81)))),
% 50.44/33.53 inference(quant_inst,[status(thm)],[])).
% 50.44/33.53 tff(34653,plain,
% 50.44/33.53 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB81) | (~v232(constB81))),
% 50.44/33.53 inference(modus_ponens,[status(thm)],[34652, 34651])).
% 50.44/33.53 tff(34654,plain,
% 50.44/33.53 (~v232(constB81)),
% 50.44/33.53 inference(unit_resolution,[status(thm)],[34653, 8980, 34650])).
% 50.44/33.53 tff(34655,plain,
% 50.44/33.53 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB81, bitIndex1)) | (~v140(constB81)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB81, bitIndex1)) | (~v140(constB81)))),
% 50.44/33.53 inference(rewrite,[status(thm)],[])).
% 50.44/33.53 tff(34656,plain,
% 50.44/33.53 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB81, bitIndex1)) | (~v140(constB81)))),
% 50.44/33.53 inference(quant_inst,[status(thm)],[])).
% 50.44/33.53 tff(34657,plain,
% 50.44/33.53 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB81, bitIndex1)) | (~v140(constB81))),
% 50.44/33.53 inference(modus_ponens,[status(thm)],[34656, 34655])).
% 50.44/33.53 tff(34658,plain,
% 50.44/33.53 (~v140(constB81)),
% 50.44/33.53 inference(unit_resolution,[status(thm)],[34657, 9002, 34576])).
% 50.44/33.53 tff(34659,plain,
% 50.44/33.53 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB81, bitIndex0)) | (~v139(constB81)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB81, bitIndex0)) | (~v139(constB81)))),
% 50.44/33.53 inference(rewrite,[status(thm)],[])).
% 50.44/33.53 tff(34660,plain,
% 50.44/33.53 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | ((~v88(constB81, bitIndex0)) | (~v139(constB81)))),
% 50.44/33.53 inference(quant_inst,[status(thm)],[])).
% 50.44/33.53 tff(34661,plain,
% 50.44/33.53 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex0)) | (~v139(VarCurr)))) | (~v88(constB81, bitIndex0)) | (~v139(constB81))),
% 50.44/33.53 inference(modus_ponens,[status(thm)],[34660, 34659])).
% 50.44/33.53 tff(34662,plain,
% 50.44/33.53 (~v139(constB81)),
% 50.44/33.53 inference(unit_resolution,[status(thm)],[34661, 8991, 34580])).
% 50.44/33.53 tff(34663,plain,
% 50.44/33.53 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB81) | v139(constB81) | (~v148(constB81)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB81) | v139(constB81) | (~v148(constB81)))),
% 50.44/33.53 inference(rewrite,[status(thm)],[])).
% 50.44/33.53 tff(34664,plain,
% 50.44/33.53 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB81) | v139(constB81) | (~v148(constB81)))),
% 50.44/33.53 inference(quant_inst,[status(thm)],[])).
% 50.44/33.53 tff(34665,plain,
% 50.44/33.53 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB81) | v139(constB81) | (~v148(constB81))),
% 50.44/33.53 inference(modus_ponens,[status(thm)],[34664, 34663])).
% 50.44/33.53 tff(34666,plain,
% 50.44/33.53 (~v148(constB81)),
% 50.44/33.53 inference(unit_resolution,[status(thm)],[34665, 9016, 34662, 34658])).
% 50.44/33.53 tff(34667,plain,
% 50.44/33.53 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB81) | (~v197(constB81)) | v148(constB81))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB81) | (~v197(constB81)) | v148(constB81))),
% 50.44/33.53 inference(rewrite,[status(thm)],[])).
% 50.44/33.53 tff(34668,plain,
% 50.44/33.53 ((v148(constB81) | (~v197(constB81)) | v252(constB81)) <=> (v252(constB81) | (~v197(constB81)) | v148(constB81))),
% 50.44/33.53 inference(rewrite,[status(thm)],[])).
% 50.44/33.53 tff(34669,plain,
% 50.44/33.53 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB81) | (~v197(constB81)) | v252(constB81))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB81) | (~v197(constB81)) | v148(constB81)))),
% 50.44/33.53 inference(monotonicity,[status(thm)],[34668])).
% 50.44/33.53 tff(34670,plain,
% 50.44/33.53 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB81) | (~v197(constB81)) | v252(constB81))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB81) | (~v197(constB81)) | v148(constB81))),
% 50.44/33.53 inference(transitivity,[status(thm)],[34669, 34667])).
% 50.44/33.53 tff(34671,plain,
% 50.44/33.53 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB81) | (~v197(constB81)) | v252(constB81))),
% 50.44/33.53 inference(quant_inst,[status(thm)],[])).
% 50.44/33.53 tff(34672,plain,
% 50.44/33.53 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB81) | (~v197(constB81)) | v148(constB81)),
% 50.44/33.53 inference(modus_ponens,[status(thm)],[34671, 34670])).
% 50.44/33.53 tff(34673,plain,
% 50.44/33.53 (v252(constB81) | (~v197(constB81))),
% 50.44/33.53 inference(unit_resolution,[status(thm)],[34672, 9033, 34666])).
% 50.44/33.53 tff(34674,plain,
% 50.44/33.53 (v252(constB81)),
% 50.44/33.53 inference(unit_resolution,[status(thm)],[34673, 34603])).
% 50.44/33.53 tff(34675,plain,
% 50.44/33.53 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB81)) | (~v223(constB81, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB81)) | (~v223(constB81, bitIndex3)))),
% 50.44/33.53 inference(rewrite,[status(thm)],[])).
% 50.44/33.53 tff(34676,plain,
% 50.44/33.53 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB81)) | (~v223(constB81, bitIndex3)))),
% 50.44/33.53 inference(quant_inst,[status(thm)],[])).
% 50.44/33.53 tff(34677,plain,
% 50.44/33.53 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB81)) | (~v223(constB81, bitIndex3))),
% 50.44/33.53 inference(modus_ponens,[status(thm)],[34676, 34675])).
% 50.44/33.53 tff(34678,plain,
% 50.44/33.53 (~v223(constB81, bitIndex3)),
% 50.44/33.53 inference(unit_resolution,[status(thm)],[34677, 9048, 34674])).
% 50.44/33.53 tff(34679,plain,
% 50.44/33.53 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB81)) | v223(constB81, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB81)) | v223(constB81, bitIndex3))),
% 50.44/33.53 inference(rewrite,[status(thm)],[])).
% 50.44/33.53 tff(34680,plain,
% 50.44/33.53 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB81)) | v223(constB81, bitIndex3))),
% 50.44/33.53 inference(quant_inst,[status(thm)],[])).
% 50.44/33.53 tff(34681,plain,
% 50.44/33.53 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB81)) | v223(constB81, bitIndex3)),
% 50.44/33.53 inference(modus_ponens,[status(thm)],[34680, 34679])).
% 50.44/33.53 tff(34682,plain,
% 50.44/33.53 (~v237(constB81)),
% 50.44/33.53 inference(unit_resolution,[status(thm)],[34681, 9062, 34678])).
% 50.44/33.53 tff(34683,plain,
% 50.44/33.53 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB81) | v232(constB81) | (~v248(constB81)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB81) | v232(constB81) | (~v248(constB81)))),
% 50.44/33.53 inference(rewrite,[status(thm)],[])).
% 50.44/33.53 tff(34684,plain,
% 50.44/33.53 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB81) | v232(constB81) | (~v248(constB81)))),
% 50.44/33.53 inference(quant_inst,[status(thm)],[])).
% 50.44/33.53 tff(34685,plain,
% 50.44/33.53 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB81) | v232(constB81) | (~v248(constB81))),
% 50.44/33.53 inference(modus_ponens,[status(thm)],[34684, 34683])).
% 50.44/33.53 tff(34686,plain,
% 50.44/33.53 (v232(constB81) | (~v248(constB81))),
% 50.44/33.53 inference(unit_resolution,[status(thm)],[34685, 9076, 34682])).
% 50.44/33.53 tff(34687,plain,
% 50.44/33.53 (~v248(constB81)),
% 50.44/33.53 inference(unit_resolution,[status(thm)],[34686, 34654])).
% 50.44/33.53 tff(34688,plain,
% 50.44/33.53 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB81) | (~v244(constB81)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB81) | (~v244(constB81)))),
% 50.44/33.53 inference(rewrite,[status(thm)],[])).
% 50.44/33.53 tff(34689,plain,
% 50.44/33.53 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB81) | (~v244(constB81)))),
% 50.44/33.53 inference(quant_inst,[status(thm)],[])).
% 50.44/33.53 tff(34690,plain,
% 50.44/33.53 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB81) | (~v244(constB81))),
% 50.44/33.53 inference(modus_ponens,[status(thm)],[34689, 34688])).
% 50.44/33.53 tff(34691,plain,
% 50.44/33.53 (~v244(constB81)),
% 50.44/33.53 inference(unit_resolution,[status(thm)],[34690, 11335, 34687])).
% 50.44/33.53 tff(34692,plain,
% 50.44/33.53 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB81) | (~v216(constB81, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB81) | (~v216(constB81, bitIndex1)))),
% 50.44/33.53 inference(rewrite,[status(thm)],[])).
% 50.44/33.53 tff(34693,plain,
% 50.44/33.53 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB81) | (~v216(constB81, bitIndex1)))),
% 50.44/33.53 inference(quant_inst,[status(thm)],[])).
% 50.44/33.53 tff(34694,plain,
% 50.44/33.53 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB81) | (~v216(constB81, bitIndex1))),
% 50.44/33.53 inference(modus_ponens,[status(thm)],[34693, 34692])).
% 50.44/33.53 tff(34695,plain,
% 50.44/33.53 (~v216(constB81, bitIndex1)),
% 50.44/33.53 inference(unit_resolution,[status(thm)],[34694, 11346, 34691])).
% 50.44/33.53 tff(34696,plain,
% 50.44/33.53 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | ((~v254(constB81)) | v216(constB81, bitIndex1))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB81)) | v216(constB81, bitIndex1))),
% 50.44/33.53 inference(rewrite,[status(thm)],[])).
% 50.44/33.53 tff(34697,plain,
% 50.44/33.53 ((v216(constB81, bitIndex1) | (~v254(constB81))) <=> ((~v254(constB81)) | v216(constB81, bitIndex1))),
% 50.44/33.53 inference(rewrite,[status(thm)],[])).
% 50.44/33.53 tff(34698,plain,
% 50.44/33.53 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB81, bitIndex1) | (~v254(constB81)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | ((~v254(constB81)) | v216(constB81, bitIndex1)))),
% 50.44/33.53 inference(monotonicity,[status(thm)],[34697])).
% 50.44/33.53 tff(34699,plain,
% 50.44/33.53 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB81, bitIndex1) | (~v254(constB81)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB81)) | v216(constB81, bitIndex1))),
% 50.44/33.53 inference(transitivity,[status(thm)],[34698, 34696])).
% 50.44/33.53 tff(34700,plain,
% 50.44/33.53 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB81, bitIndex1) | (~v254(constB81)))),
% 50.44/33.53 inference(quant_inst,[status(thm)],[])).
% 50.44/33.53 tff(34701,plain,
% 50.44/33.53 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (~v254(constB81)) | v216(constB81, bitIndex1)),
% 50.44/33.53 inference(modus_ponens,[status(thm)],[34700, 34699])).
% 50.44/33.53 tff(34702,plain,
% 50.44/33.53 (~v254(constB81)),
% 50.44/33.53 inference(unit_resolution,[status(thm)],[34701, 11357, 34695])).
% 50.44/33.53 tff(34703,plain,
% 50.44/33.53 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB81) | (~v231(constB81)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB81) | (~v231(constB81)))),
% 50.44/33.53 inference(rewrite,[status(thm)],[])).
% 50.44/33.53 tff(34704,plain,
% 50.44/33.53 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB81) | (~v231(constB81)))),
% 50.44/33.53 inference(quant_inst,[status(thm)],[])).
% 50.44/33.53 tff(34705,plain,
% 50.44/33.53 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB81) | (~v231(constB81))),
% 50.44/33.53 inference(modus_ponens,[status(thm)],[34704, 34703])).
% 50.44/33.53 tff(34706,plain,
% 50.44/33.53 (~v231(constB81)),
% 50.44/33.53 inference(unit_resolution,[status(thm)],[34705, 11162, 34682])).
% 50.44/33.53 tff(34707,plain,
% 50.44/33.53 (((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB81) | (~v221(constB81)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB81) | (~v221(constB81)))),
% 50.44/33.53 inference(rewrite,[status(thm)],[])).
% 50.44/33.53 tff(34708,plain,
% 50.44/33.53 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | (v222(constB81) | (~v221(constB81)))),
% 50.44/33.53 inference(quant_inst,[status(thm)],[])).
% 50.44/33.53 tff(34709,plain,
% 50.44/33.53 ((~![VarCurr: $i] : (v222(VarCurr) | (~v221(VarCurr)))) | v222(constB81) | (~v221(constB81))),
% 50.44/33.53 inference(modus_ponens,[status(thm)],[34708, 34707])).
% 50.44/33.53 tff(34710,plain,
% 50.44/33.53 (~v221(constB81)),
% 50.44/33.53 inference(unit_resolution,[status(thm)],[34709, 11192, 34645])).
% 50.44/33.53 tff(34711,plain,
% 50.44/33.53 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB81) | v231(constB81) | (~v243(constB81)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB81) | v231(constB81) | (~v243(constB81)))),
% 50.44/33.53 inference(rewrite,[status(thm)],[])).
% 50.44/33.53 tff(34712,plain,
% 50.44/33.53 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB81) | v231(constB81) | (~v243(constB81)))),
% 50.44/33.53 inference(quant_inst,[status(thm)],[])).
% 50.44/33.53 tff(34713,plain,
% 50.44/33.53 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB81) | v231(constB81) | (~v243(constB81))),
% 50.44/33.53 inference(modus_ponens,[status(thm)],[34712, 34711])).
% 50.44/33.53 tff(34714,plain,
% 50.44/33.53 (~v243(constB81)),
% 50.44/33.53 inference(unit_resolution,[status(thm)],[34713, 11206, 34710, 34706])).
% 50.44/33.53 tff(34715,plain,
% 50.44/33.53 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB81) | v255(constB81))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB81) | v255(constB81))),
% 50.44/33.53 inference(rewrite,[status(thm)],[])).
% 50.44/33.54 tff(34716,plain,
% 50.44/33.54 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB81) | v255(constB81))),
% 50.44/33.54 inference(quant_inst,[status(thm)],[])).
% 50.44/33.54 tff(34717,plain,
% 50.44/33.54 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB81) | v255(constB81)),
% 50.44/33.54 inference(modus_ponens,[status(thm)],[34716, 34715])).
% 50.44/33.54 tff(34718,plain,
% 50.44/33.54 (v255(constB81)),
% 50.44/33.54 inference(unit_resolution,[status(thm)],[34717, 11222, 34714])).
% 50.44/33.54 tff(34719,plain,
% 50.44/33.54 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB81)) | (~v216(constB81, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB81)) | (~v216(constB81, bitIndex2)))),
% 50.44/33.54 inference(rewrite,[status(thm)],[])).
% 50.44/33.54 tff(34720,plain,
% 50.44/33.54 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB81)) | (~v216(constB81, bitIndex2)))),
% 50.44/33.54 inference(quant_inst,[status(thm)],[])).
% 50.44/33.54 tff(34721,plain,
% 50.44/33.54 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB81)) | (~v216(constB81, bitIndex2))),
% 50.44/33.54 inference(modus_ponens,[status(thm)],[34720, 34719])).
% 50.44/33.54 tff(34722,plain,
% 50.44/33.54 (~v216(constB81, bitIndex2)),
% 50.44/33.54 inference(unit_resolution,[status(thm)],[34721, 11237, 34718])).
% 50.44/33.54 tff(34723,plain,
% 50.44/33.54 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB81, bitIndex2) | (~v215(constB81)) | v254(constB81))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB81, bitIndex2) | (~v215(constB81)) | v254(constB81))),
% 50.44/33.54 inference(rewrite,[status(thm)],[])).
% 50.44/33.54 tff(34724,plain,
% 50.44/33.54 ((v216(constB81, bitIndex2) | v254(constB81) | (~v215(constB81))) <=> (v216(constB81, bitIndex2) | (~v215(constB81)) | v254(constB81))),
% 50.44/33.54 inference(rewrite,[status(thm)],[])).
% 50.44/33.54 tff(34725,plain,
% 50.44/33.54 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB81, bitIndex2) | v254(constB81) | (~v215(constB81)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB81, bitIndex2) | (~v215(constB81)) | v254(constB81)))),
% 50.44/33.54 inference(monotonicity,[status(thm)],[34724])).
% 50.44/33.54 tff(34726,plain,
% 50.44/33.54 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB81, bitIndex2) | v254(constB81) | (~v215(constB81)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB81, bitIndex2) | (~v215(constB81)) | v254(constB81))),
% 50.44/33.54 inference(transitivity,[status(thm)],[34725, 34723])).
% 50.44/33.54 tff(34727,plain,
% 50.44/33.54 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB81, bitIndex2) | v254(constB81) | (~v215(constB81)))),
% 50.44/33.54 inference(quant_inst,[status(thm)],[])).
% 50.44/33.54 tff(34728,plain,
% 50.44/33.54 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB81, bitIndex2) | (~v215(constB81)) | v254(constB81)),
% 50.44/33.54 inference(modus_ponens,[status(thm)],[34727, 34726])).
% 50.44/33.54 tff(34729,plain,
% 50.44/33.54 ((~v215(constB81)) | v254(constB81)),
% 50.44/33.54 inference(unit_resolution,[status(thm)],[34728, 11278, 34722])).
% 50.44/33.54 tff(34730,plain,
% 50.44/33.54 (~v215(constB81)),
% 50.44/33.54 inference(unit_resolution,[status(thm)],[34729, 34702])).
% 50.44/33.54 tff(34731,plain,
% 50.44/33.54 ($false),
% 50.44/33.54 inference(unit_resolution,[status(thm)],[34730, 34568])).
% 50.44/33.54 tff(34732,plain,(~(constB81 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.44/33.54 tff(34733,assumption,(constB65 = sK0_VarCurr), introduced(assumption)).
% 50.44/33.54 tff(34734,plain,
% 50.44/33.54 (v215(constB65) <=> v215(sK0_VarCurr)),
% 50.44/33.54 inference(monotonicity,[status(thm)],[34733])).
% 50.44/33.54 tff(34735,plain,
% 50.44/33.54 (v215(sK0_VarCurr) <=> v215(constB65)),
% 50.44/33.54 inference(symmetry,[status(thm)],[34734])).
% 50.44/33.54 tff(34736,plain,
% 50.44/33.54 (v215(constB65)),
% 50.44/33.54 inference(modus_ponens,[status(thm)],[11268, 34735])).
% 50.44/33.54 tff(34737,plain,
% 50.44/33.54 (~v130(constB63, bitIndex0)),
% 50.44/33.54 inference(unit_resolution,[status(thm)],[9757, 975, 9408])).
% 50.44/33.54 tff(34738,plain,
% 50.44/33.54 (~v127(constB63, bitIndex0)),
% 50.44/33.54 inference(unit_resolution,[status(thm)],[9744, 34737])).
% 50.44/33.54 tff(34739,plain,
% 50.44/33.54 (~v129(constB64, bitIndex0)),
% 50.44/33.54 inference(unit_resolution,[status(thm)],[9736, 34738])).
% 50.44/33.54 tff(34740,plain,
% 50.44/33.54 ((~v90(constB64, bitIndex0)) | (~v100(constB64))),
% 50.44/33.54 inference(unit_resolution,[status(thm)],[9730, 557, 34739])).
% 50.44/33.54 tff(34741,plain,
% 50.44/33.54 (~v90(constB64, bitIndex0)),
% 50.44/33.54 inference(unit_resolution,[status(thm)],[34740, 9342])).
% 50.44/33.54 tff(34742,plain,
% 50.44/33.54 (~v90(constB65, bitIndex0)),
% 50.44/33.54 inference(unit_resolution,[status(thm)],[9723, 34741])).
% 50.44/33.54 tff(34743,plain,
% 50.44/33.54 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB65, bitIndex0) | (~v88(constB65, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB65, bitIndex0) | (~v88(constB65, bitIndex0)))),
% 50.44/33.54 inference(rewrite,[status(thm)],[])).
% 50.44/33.54 tff(34744,plain,
% 50.44/33.54 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB65, bitIndex0) | (~v88(constB65, bitIndex0)))),
% 50.44/33.54 inference(quant_inst,[status(thm)],[])).
% 50.44/33.54 tff(34745,plain,
% 50.44/33.54 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB65, bitIndex0) | (~v88(constB65, bitIndex0))),
% 50.44/33.54 inference(modus_ponens,[status(thm)],[34744, 34743])).
% 50.44/33.54 tff(34746,plain,
% 50.44/33.54 (~v88(constB65, bitIndex0)),
% 50.44/33.54 inference(unit_resolution,[status(thm)],[34745, 10505, 34742])).
% 50.44/33.54 tff(34747,plain,
% 50.44/33.54 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB65, bitIndex2)) | v88(constB65, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB65, bitIndex2)) | v88(constB65, bitIndex2))),
% 50.44/33.54 inference(rewrite,[status(thm)],[])).
% 50.44/33.54 tff(34748,plain,
% 50.44/33.54 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | ((~v90(constB65, bitIndex2)) | v88(constB65, bitIndex2))),
% 50.44/33.54 inference(quant_inst,[status(thm)],[])).
% 50.44/33.54 tff(34749,plain,
% 50.44/33.54 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex2)) | v88(VarCurr, bitIndex2))) | (~v90(constB65, bitIndex2)) | v88(constB65, bitIndex2)),
% 50.44/33.54 inference(modus_ponens,[status(thm)],[34748, 34747])).
% 50.44/33.54 tff(34750,plain,
% 50.44/33.54 (v88(constB65, bitIndex2)),
% 50.44/33.54 inference(unit_resolution,[status(thm)],[34749, 25107, 9457])).
% 50.44/33.54 tff(34751,plain,
% 50.44/33.54 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB65, bitIndex1)) | v88(constB65, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB65, bitIndex1)) | v88(constB65, bitIndex1))),
% 50.44/33.54 inference(rewrite,[status(thm)],[])).
% 50.44/33.54 tff(34752,plain,
% 50.44/33.54 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB65, bitIndex1)) | v88(constB65, bitIndex1))),
% 50.44/33.54 inference(quant_inst,[status(thm)],[])).
% 50.44/33.54 tff(34753,plain,
% 50.44/33.54 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB65, bitIndex1)) | v88(constB65, bitIndex1)),
% 50.44/33.54 inference(modus_ponens,[status(thm)],[34752, 34751])).
% 50.44/33.54 tff(34754,plain,
% 50.44/33.54 (v88(constB65, bitIndex1)),
% 50.44/33.54 inference(unit_resolution,[status(thm)],[34753, 8707, 9492])).
% 50.44/33.54 tff(34755,plain,
% 50.44/33.54 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB65, bitIndex0) | v144(constB65) | (~v88(constB65, bitIndex1)) | (~v88(constB65, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB65, bitIndex0) | v144(constB65) | (~v88(constB65, bitIndex1)) | (~v88(constB65, bitIndex2)))),
% 50.44/33.54 inference(rewrite,[status(thm)],[])).
% 50.44/33.54 tff(34756,plain,
% 50.44/33.54 (((~v88(constB65, bitIndex2)) | (~v88(constB65, bitIndex1)) | v88(constB65, bitIndex0) | v144(constB65)) <=> (v88(constB65, bitIndex0) | v144(constB65) | (~v88(constB65, bitIndex1)) | (~v88(constB65, bitIndex2)))),
% 50.44/33.54 inference(rewrite,[status(thm)],[])).
% 50.44/33.54 tff(34757,plain,
% 50.44/33.54 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB65, bitIndex2)) | (~v88(constB65, bitIndex1)) | v88(constB65, bitIndex0) | v144(constB65))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | (v88(constB65, bitIndex0) | v144(constB65) | (~v88(constB65, bitIndex1)) | (~v88(constB65, bitIndex2))))),
% 50.44/33.54 inference(monotonicity,[status(thm)],[34756])).
% 50.44/33.54 tff(34758,plain,
% 50.44/33.54 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB65, bitIndex2)) | (~v88(constB65, bitIndex1)) | v88(constB65, bitIndex0) | v144(constB65))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB65, bitIndex0) | v144(constB65) | (~v88(constB65, bitIndex1)) | (~v88(constB65, bitIndex2)))),
% 50.44/33.54 inference(transitivity,[status(thm)],[34757, 34755])).
% 50.44/33.54 tff(34759,plain,
% 50.44/33.54 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | ((~v88(constB65, bitIndex2)) | (~v88(constB65, bitIndex1)) | v88(constB65, bitIndex0) | v144(constB65))),
% 50.44/33.54 inference(quant_inst,[status(thm)],[])).
% 50.44/33.54 tff(34760,plain,
% 50.44/33.54 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v144(VarCurr))) | v88(constB65, bitIndex0) | v144(constB65) | (~v88(constB65, bitIndex1)) | (~v88(constB65, bitIndex2))),
% 50.44/33.54 inference(modus_ponens,[status(thm)],[34759, 34758])).
% 50.44/33.54 tff(34761,plain,
% 50.44/33.54 (v144(constB65)),
% 50.44/33.54 inference(unit_resolution,[status(thm)],[34760, 25122, 34754, 34750, 34746])).
% 50.44/33.54 tff(34762,plain,
% 50.44/33.54 (((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB65) | (~v144(constB65)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB65) | (~v144(constB65)))),
% 50.44/33.54 inference(rewrite,[status(thm)],[])).
% 50.44/33.54 tff(34763,plain,
% 50.44/33.54 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | (v142(constB65) | (~v144(constB65)))),
% 50.44/33.54 inference(quant_inst,[status(thm)],[])).
% 50.44/33.54 tff(34764,plain,
% 50.44/33.54 ((~![VarCurr: $i] : (v142(VarCurr) | (~v144(VarCurr)))) | v142(constB65) | (~v144(constB65))),
% 50.44/33.54 inference(modus_ponens,[status(thm)],[34763, 34762])).
% 50.44/33.54 tff(34765,plain,
% 50.44/33.54 (v142(constB65)),
% 50.44/33.54 inference(unit_resolution,[status(thm)],[34764, 25139, 34761])).
% 50.44/33.54 tff(34766,plain,
% 50.44/33.54 (((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB65) | (~v142(constB65)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB65) | (~v142(constB65)))),
% 50.44/33.54 inference(rewrite,[status(thm)],[])).
% 50.44/33.54 tff(34767,plain,
% 50.44/33.54 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB65) | (~v142(constB65)))),
% 50.44/33.54 inference(quant_inst,[status(thm)],[])).
% 50.44/33.54 tff(34768,plain,
% 50.44/33.54 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB65) | (~v142(constB65))),
% 50.44/33.54 inference(modus_ponens,[status(thm)],[34767, 34766])).
% 50.44/33.54 tff(34769,plain,
% 50.44/33.54 (v198(constB65)),
% 50.44/33.54 inference(unit_resolution,[status(thm)],[34768, 10548, 34765])).
% 50.44/33.54 tff(34770,plain,
% 50.44/33.54 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB65)) | (~v201(constB65)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB65)) | (~v201(constB65)))),
% 50.44/33.54 inference(rewrite,[status(thm)],[])).
% 50.44/33.54 tff(34771,plain,
% 50.44/33.54 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB65)) | (~v201(constB65)))),
% 50.44/33.54 inference(quant_inst,[status(thm)],[])).
% 50.44/33.54 tff(34772,plain,
% 50.44/33.54 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB65)) | (~v201(constB65))),
% 50.44/33.54 inference(modus_ponens,[status(thm)],[34771, 34770])).
% 50.44/33.54 tff(34773,plain,
% 50.44/33.54 (~v201(constB65)),
% 50.44/33.54 inference(unit_resolution,[status(thm)],[34772, 8823, 34769])).
% 50.44/33.54 tff(34774,plain,
% 50.44/33.54 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB65) | (~v198(constB65)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB65) | (~v198(constB65)))),
% 50.44/33.54 inference(rewrite,[status(thm)],[])).
% 50.44/33.54 tff(34775,plain,
% 50.44/33.54 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB65) | (~v198(constB65)))),
% 50.44/33.54 inference(quant_inst,[status(thm)],[])).
% 50.44/33.54 tff(34776,plain,
% 50.44/33.54 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB65) | (~v198(constB65))),
% 50.44/33.54 inference(modus_ponens,[status(thm)],[34775, 34774])).
% 50.44/33.54 tff(34777,plain,
% 50.44/33.54 (v197(constB65)),
% 50.44/33.54 inference(unit_resolution,[status(thm)],[34776, 8834, 34769])).
% 50.44/33.54 tff(34778,plain,
% 50.44/33.54 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB65) | (~v197(constB65)) | v201(constB65))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB65) | (~v197(constB65)) | v201(constB65))),
% 50.44/33.54 inference(rewrite,[status(thm)],[])).
% 50.44/33.54 tff(34779,plain,
% 50.44/33.54 (((~v197(constB65)) | v201(constB65) | v227(constB65)) <=> (v227(constB65) | (~v197(constB65)) | v201(constB65))),
% 50.44/33.54 inference(rewrite,[status(thm)],[])).
% 50.44/33.54 tff(34780,plain,
% 50.44/33.54 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB65)) | v201(constB65) | v227(constB65))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB65) | (~v197(constB65)) | v201(constB65)))),
% 50.44/33.54 inference(monotonicity,[status(thm)],[34779])).
% 50.44/33.54 tff(34781,plain,
% 50.44/33.54 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB65)) | v201(constB65) | v227(constB65))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB65) | (~v197(constB65)) | v201(constB65))),
% 50.44/33.54 inference(transitivity,[status(thm)],[34780, 34778])).
% 50.44/33.54 tff(34782,plain,
% 50.44/33.54 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB65)) | v201(constB65) | v227(constB65))),
% 50.44/33.54 inference(quant_inst,[status(thm)],[])).
% 50.44/33.54 tff(34783,plain,
% 50.44/33.54 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB65) | (~v197(constB65)) | v201(constB65)),
% 50.44/33.54 inference(modus_ponens,[status(thm)],[34782, 34781])).
% 50.44/33.54 tff(34784,plain,
% 50.44/33.54 (v227(constB65)),
% 50.44/33.54 inference(unit_resolution,[status(thm)],[34783, 8848, 34777, 34773])).
% 50.44/33.54 tff(34785,plain,
% 50.44/33.54 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB65)) | (~v223(constB65, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB65)) | (~v223(constB65, bitIndex0)))),
% 50.44/33.54 inference(rewrite,[status(thm)],[])).
% 50.44/33.54 tff(34786,plain,
% 50.44/33.54 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB65)) | (~v223(constB65, bitIndex0)))),
% 50.44/33.54 inference(quant_inst,[status(thm)],[])).
% 50.44/33.54 tff(34787,plain,
% 50.44/33.54 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB65)) | (~v223(constB65, bitIndex0))),
% 50.44/33.54 inference(modus_ponens,[status(thm)],[34786, 34785])).
% 50.44/33.54 tff(34788,plain,
% 50.44/33.54 (~v223(constB65, bitIndex0)),
% 50.44/33.54 inference(unit_resolution,[status(thm)],[34787, 8862, 34784])).
% 50.44/33.54 tff(34789,plain,
% 50.44/33.54 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB65, bitIndex0) | (~v222(constB65)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | v223(constB65, bitIndex0) | (~v222(constB65)))),
% 50.44/33.54 inference(rewrite,[status(thm)],[])).
% 50.44/33.54 tff(34790,plain,
% 50.44/33.54 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB65, bitIndex0) | (~v222(constB65)))),
% 50.44/33.54 inference(quant_inst,[status(thm)],[])).
% 50.44/33.54 tff(34791,plain,
% 50.44/33.54 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | v223(constB65, bitIndex0) | (~v222(constB65))),
% 50.44/33.54 inference(modus_ponens,[status(thm)],[34790, 34789])).
% 50.44/33.54 tff(34792,plain,
% 50.44/33.54 (~v222(constB65)),
% 50.44/33.54 inference(unit_resolution,[status(thm)],[34791, 10578, 34788])).
% 50.44/33.54 tff(34793,plain,
% 50.44/33.54 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v139(constB65)) | (~v88(constB65, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB65)) | (~v88(constB65, bitIndex1)))),
% 50.44/33.54 inference(rewrite,[status(thm)],[])).
% 50.44/33.54 tff(34794,plain,
% 50.44/33.54 (((~v88(constB65, bitIndex1)) | (~v139(constB65))) <=> ((~v139(constB65)) | (~v88(constB65, bitIndex1)))),
% 50.44/33.54 inference(rewrite,[status(thm)],[])).
% 50.44/33.54 tff(34795,plain,
% 50.44/33.54 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB65, bitIndex1)) | (~v139(constB65)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v139(constB65)) | (~v88(constB65, bitIndex1))))),
% 50.44/33.54 inference(monotonicity,[status(thm)],[34794])).
% 50.44/33.54 tff(34796,plain,
% 50.44/33.54 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB65, bitIndex1)) | (~v139(constB65)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB65)) | (~v88(constB65, bitIndex1)))),
% 50.44/33.54 inference(transitivity,[status(thm)],[34795, 34793])).
% 50.44/33.54 tff(34797,plain,
% 50.44/33.54 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB65, bitIndex1)) | (~v139(constB65)))),
% 50.44/33.54 inference(quant_inst,[status(thm)],[])).
% 50.44/33.54 tff(34798,plain,
% 50.44/33.54 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v139(constB65)) | (~v88(constB65, bitIndex1))),
% 50.44/33.54 inference(modus_ponens,[status(thm)],[34797, 34796])).
% 50.44/33.54 tff(34799,plain,
% 50.44/33.54 (~v139(constB65)),
% 50.44/33.54 inference(unit_resolution,[status(thm)],[34798, 10589, 34754])).
% 50.44/33.54 tff(34800,plain,
% 50.44/33.54 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB65, bitIndex1)) | (~v140(constB65)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB65, bitIndex1)) | (~v140(constB65)))),
% 50.44/33.54 inference(rewrite,[status(thm)],[])).
% 50.44/33.54 tff(34801,plain,
% 50.44/33.54 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB65, bitIndex1)) | (~v140(constB65)))),
% 50.44/33.54 inference(quant_inst,[status(thm)],[])).
% 50.44/33.54 tff(34802,plain,
% 50.44/33.54 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB65, bitIndex1)) | (~v140(constB65))),
% 50.44/33.54 inference(modus_ponens,[status(thm)],[34801, 34800])).
% 50.44/33.54 tff(34803,plain,
% 50.44/33.54 (~v140(constB65)),
% 50.44/33.54 inference(unit_resolution,[status(thm)],[34802, 9002, 34754])).
% 50.44/33.54 tff(34804,plain,
% 50.44/33.54 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v139(constB65) | v140(constB65) | (~v200(constB65)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v139(constB65) | v140(constB65) | (~v200(constB65)))),
% 50.44/33.54 inference(rewrite,[status(thm)],[])).
% 50.44/33.54 tff(34805,plain,
% 50.44/33.54 ((v140(constB65) | v139(constB65) | (~v200(constB65))) <=> (v139(constB65) | v140(constB65) | (~v200(constB65)))),
% 50.44/33.54 inference(rewrite,[status(thm)],[])).
% 50.44/33.54 tff(34806,plain,
% 50.44/33.54 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB65) | v139(constB65) | (~v200(constB65)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v139(constB65) | v140(constB65) | (~v200(constB65))))),
% 50.44/33.54 inference(monotonicity,[status(thm)],[34805])).
% 50.44/33.54 tff(34807,plain,
% 50.44/33.54 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB65) | v139(constB65) | (~v200(constB65)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v139(constB65) | v140(constB65) | (~v200(constB65)))),
% 50.44/33.54 inference(transitivity,[status(thm)],[34806, 34804])).
% 50.44/33.54 tff(34808,plain,
% 50.44/33.54 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB65) | v139(constB65) | (~v200(constB65)))),
% 50.44/33.54 inference(quant_inst,[status(thm)],[])).
% 50.44/33.54 tff(34809,plain,
% 50.44/33.54 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v139(constB65) | v140(constB65) | (~v200(constB65))),
% 50.44/33.54 inference(modus_ponens,[status(thm)],[34808, 34807])).
% 50.44/33.54 tff(34810,plain,
% 50.44/33.54 (~v200(constB65)),
% 50.44/33.54 inference(unit_resolution,[status(thm)],[34809, 10610, 34803, 34799])).
% 50.44/33.54 tff(34811,plain,
% 50.44/33.54 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB65, bitIndex2)) | (~v141(constB65)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB65, bitIndex2)) | (~v141(constB65)))),
% 50.44/33.54 inference(rewrite,[status(thm)],[])).
% 50.44/33.54 tff(34812,plain,
% 50.44/33.54 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | ((~v88(constB65, bitIndex2)) | (~v141(constB65)))),
% 50.44/33.54 inference(quant_inst,[status(thm)],[])).
% 50.44/33.54 tff(34813,plain,
% 50.44/33.54 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex2)) | (~v141(VarCurr)))) | (~v88(constB65, bitIndex2)) | (~v141(constB65))),
% 50.44/33.54 inference(modus_ponens,[status(thm)],[34812, 34811])).
% 50.44/33.54 tff(34814,plain,
% 50.44/33.54 (~v141(constB65)),
% 50.44/33.54 inference(unit_resolution,[status(thm)],[34813, 25200, 34750])).
% 50.44/33.54 tff(34815,plain,
% 50.44/33.54 (((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB65) | v200(constB65) | (~v166(constB65)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB65) | v200(constB65) | (~v166(constB65)))),
% 50.44/33.54 inference(rewrite,[status(thm)],[])).
% 50.44/33.54 tff(34816,plain,
% 50.44/33.54 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB65) | v200(constB65) | (~v166(constB65)))),
% 50.44/33.54 inference(quant_inst,[status(thm)],[])).
% 50.44/33.54 tff(34817,plain,
% 50.44/33.54 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB65) | v200(constB65) | (~v166(constB65))),
% 50.44/33.54 inference(modus_ponens,[status(thm)],[34816, 34815])).
% 50.44/33.54 tff(34818,plain,
% 50.44/33.54 (~v166(constB65)),
% 50.44/33.54 inference(unit_resolution,[status(thm)],[34817, 10638, 34814, 34810])).
% 50.44/33.54 tff(34819,plain,
% 50.44/33.54 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB65) | (~v197(constB65)) | v166(constB65))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB65) | (~v197(constB65)) | v166(constB65))),
% 50.44/33.54 inference(rewrite,[status(thm)],[])).
% 50.44/33.54 tff(34820,plain,
% 50.44/33.54 (((~v197(constB65)) | v166(constB65) | v241(constB65)) <=> (v241(constB65) | (~v197(constB65)) | v166(constB65))),
% 50.44/33.54 inference(rewrite,[status(thm)],[])).
% 50.44/33.54 tff(34821,plain,
% 50.44/33.54 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB65)) | v166(constB65) | v241(constB65))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB65) | (~v197(constB65)) | v166(constB65)))),
% 50.44/33.54 inference(monotonicity,[status(thm)],[34820])).
% 50.44/33.54 tff(34822,plain,
% 50.44/33.54 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB65)) | v166(constB65) | v241(constB65))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB65) | (~v197(constB65)) | v166(constB65))),
% 50.44/33.54 inference(transitivity,[status(thm)],[34821, 34819])).
% 50.44/33.54 tff(34823,plain,
% 50.44/33.54 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB65)) | v166(constB65) | v241(constB65))),
% 50.44/33.54 inference(quant_inst,[status(thm)],[])).
% 50.44/33.54 tff(34824,plain,
% 50.44/33.54 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB65) | (~v197(constB65)) | v166(constB65)),
% 50.44/33.54 inference(modus_ponens,[status(thm)],[34823, 34822])).
% 50.44/33.54 tff(34825,plain,
% 50.44/33.54 (v241(constB65) | (~v197(constB65))),
% 50.44/33.54 inference(unit_resolution,[status(thm)],[34824, 10277, 34818])).
% 50.44/33.54 tff(34826,plain,
% 50.44/33.54 (v241(constB65)),
% 50.44/33.54 inference(unit_resolution,[status(thm)],[34825, 34777])).
% 50.44/33.54 tff(34827,plain,
% 50.44/33.54 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB65)) | (~v223(constB65, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB65)) | (~v223(constB65, bitIndex2)))),
% 50.44/33.54 inference(rewrite,[status(thm)],[])).
% 50.44/33.54 tff(34828,plain,
% 50.44/33.54 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB65)) | (~v223(constB65, bitIndex2)))),
% 50.44/33.54 inference(quant_inst,[status(thm)],[])).
% 50.44/33.54 tff(34829,plain,
% 50.44/33.54 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB65)) | (~v223(constB65, bitIndex2))),
% 50.44/33.54 inference(modus_ponens,[status(thm)],[34828, 34827])).
% 50.44/33.54 tff(34830,plain,
% 50.44/33.54 (~v223(constB65, bitIndex2)),
% 50.44/33.54 inference(unit_resolution,[status(thm)],[34829, 10292, 34826])).
% 50.44/33.54 tff(34831,plain,
% 50.44/33.54 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB65)) | v223(constB65, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB65)) | v223(constB65, bitIndex2))),
% 50.44/33.54 inference(rewrite,[status(thm)],[])).
% 50.44/33.54 tff(34832,plain,
% 50.44/33.54 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB65)) | v223(constB65, bitIndex2))),
% 50.44/33.54 inference(quant_inst,[status(thm)],[])).
% 50.44/33.54 tff(34833,plain,
% 50.44/33.54 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB65)) | v223(constB65, bitIndex2)),
% 50.44/33.54 inference(modus_ponens,[status(thm)],[34832, 34831])).
% 50.44/33.54 tff(34834,plain,
% 50.44/33.54 (~v224(constB65)),
% 50.44/33.54 inference(unit_resolution,[status(thm)],[34833, 10343, 34830])).
% 50.44/33.54 tff(34835,plain,
% 50.44/33.54 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB65) | v224(constB65) | (~v236(constB65)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB65) | v224(constB65) | (~v236(constB65)))),
% 50.44/33.54 inference(rewrite,[status(thm)],[])).
% 50.44/33.54 tff(34836,plain,
% 50.44/33.54 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB65) | v224(constB65) | (~v236(constB65)))),
% 50.44/33.54 inference(quant_inst,[status(thm)],[])).
% 50.44/33.54 tff(34837,plain,
% 50.44/33.54 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB65) | v224(constB65) | (~v236(constB65))),
% 50.44/33.54 inference(modus_ponens,[status(thm)],[34836, 34835])).
% 50.44/33.54 tff(34838,plain,
% 50.44/33.54 (~v236(constB65)),
% 50.44/33.54 inference(unit_resolution,[status(thm)],[34837, 8968, 34834, 34792])).
% 50.44/33.54 tff(34839,plain,
% 50.44/33.54 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB65) | (~v232(constB65)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB65) | (~v232(constB65)))),
% 50.44/33.54 inference(rewrite,[status(thm)],[])).
% 50.44/33.54 tff(34840,plain,
% 50.44/33.54 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB65) | (~v232(constB65)))),
% 50.44/33.54 inference(quant_inst,[status(thm)],[])).
% 50.44/33.54 tff(34841,plain,
% 50.44/33.54 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB65) | (~v232(constB65))),
% 50.44/33.54 inference(modus_ponens,[status(thm)],[34840, 34839])).
% 50.44/33.54 tff(34842,plain,
% 50.44/33.54 (~v232(constB65)),
% 50.44/33.54 inference(unit_resolution,[status(thm)],[34841, 8980, 34838])).
% 50.44/33.54 tff(34843,plain,
% 50.44/33.54 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v139(constB65) | v140(constB65) | (~v148(constB65)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v139(constB65) | v140(constB65) | (~v148(constB65)))),
% 50.44/33.54 inference(rewrite,[status(thm)],[])).
% 50.44/33.54 tff(34844,plain,
% 50.44/33.54 ((v140(constB65) | v139(constB65) | (~v148(constB65))) <=> (v139(constB65) | v140(constB65) | (~v148(constB65)))),
% 50.44/33.54 inference(rewrite,[status(thm)],[])).
% 50.44/33.54 tff(34845,plain,
% 50.44/33.54 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB65) | v139(constB65) | (~v148(constB65)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v139(constB65) | v140(constB65) | (~v148(constB65))))),
% 50.44/33.54 inference(monotonicity,[status(thm)],[34844])).
% 50.44/33.54 tff(34846,plain,
% 50.44/33.54 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB65) | v139(constB65) | (~v148(constB65)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v139(constB65) | v140(constB65) | (~v148(constB65)))),
% 50.44/33.54 inference(transitivity,[status(thm)],[34845, 34843])).
% 50.44/33.54 tff(34847,plain,
% 50.44/33.54 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB65) | v139(constB65) | (~v148(constB65)))),
% 50.44/33.54 inference(quant_inst,[status(thm)],[])).
% 50.44/33.54 tff(34848,plain,
% 50.44/33.54 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v139(constB65) | v140(constB65) | (~v148(constB65))),
% 50.44/33.54 inference(modus_ponens,[status(thm)],[34847, 34846])).
% 50.44/33.54 tff(34849,plain,
% 50.44/33.54 (~v148(constB65)),
% 50.44/33.54 inference(unit_resolution,[status(thm)],[34848, 9016, 34803, 34799])).
% 50.44/33.54 tff(34850,plain,
% 50.44/33.54 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB65) | v148(constB65) | (~v197(constB65)))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB65) | v148(constB65) | (~v197(constB65)))),
% 50.44/33.54 inference(rewrite,[status(thm)],[])).
% 50.44/33.54 tff(34851,plain,
% 50.44/33.54 ((v148(constB65) | (~v197(constB65)) | v252(constB65)) <=> (v252(constB65) | v148(constB65) | (~v197(constB65)))),
% 50.44/33.54 inference(rewrite,[status(thm)],[])).
% 50.44/33.54 tff(34852,plain,
% 50.44/33.54 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB65) | (~v197(constB65)) | v252(constB65))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB65) | v148(constB65) | (~v197(constB65))))),
% 50.44/33.54 inference(monotonicity,[status(thm)],[34851])).
% 50.44/33.54 tff(34853,plain,
% 50.44/33.54 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB65) | (~v197(constB65)) | v252(constB65))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB65) | v148(constB65) | (~v197(constB65)))),
% 50.44/33.54 inference(transitivity,[status(thm)],[34852, 34850])).
% 50.44/33.54 tff(34854,plain,
% 50.44/33.54 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB65) | (~v197(constB65)) | v252(constB65))),
% 50.44/33.54 inference(quant_inst,[status(thm)],[])).
% 50.44/33.54 tff(34855,plain,
% 50.44/33.54 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB65) | v148(constB65) | (~v197(constB65))),
% 50.44/33.54 inference(modus_ponens,[status(thm)],[34854, 34853])).
% 50.44/33.54 tff(34856,plain,
% 50.44/33.54 (v252(constB65) | (~v197(constB65))),
% 50.44/33.54 inference(unit_resolution,[status(thm)],[34855, 9033, 34849])).
% 50.44/33.54 tff(34857,plain,
% 50.44/33.54 (v252(constB65)),
% 50.44/33.54 inference(unit_resolution,[status(thm)],[34856, 34777])).
% 50.44/33.54 tff(34858,plain,
% 50.44/33.54 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB65)) | (~v223(constB65, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB65)) | (~v223(constB65, bitIndex3)))),
% 50.44/33.54 inference(rewrite,[status(thm)],[])).
% 50.44/33.54 tff(34859,plain,
% 50.44/33.54 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB65)) | (~v223(constB65, bitIndex3)))),
% 50.44/33.54 inference(quant_inst,[status(thm)],[])).
% 50.44/33.54 tff(34860,plain,
% 50.44/33.54 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB65)) | (~v223(constB65, bitIndex3))),
% 50.44/33.54 inference(modus_ponens,[status(thm)],[34859, 34858])).
% 50.44/33.54 tff(34861,plain,
% 50.44/33.54 (~v223(constB65, bitIndex3)),
% 50.44/33.54 inference(unit_resolution,[status(thm)],[34860, 9048, 34857])).
% 50.44/33.54 tff(34862,plain,
% 50.44/33.54 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB65)) | v223(constB65, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB65)) | v223(constB65, bitIndex3))),
% 50.44/33.54 inference(rewrite,[status(thm)],[])).
% 50.44/33.54 tff(34863,plain,
% 50.44/33.54 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB65)) | v223(constB65, bitIndex3))),
% 50.44/33.54 inference(quant_inst,[status(thm)],[])).
% 50.44/33.54 tff(34864,plain,
% 50.44/33.54 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB65)) | v223(constB65, bitIndex3)),
% 50.44/33.54 inference(modus_ponens,[status(thm)],[34863, 34862])).
% 50.44/33.54 tff(34865,plain,
% 50.44/33.54 (~v237(constB65)),
% 50.44/33.54 inference(unit_resolution,[status(thm)],[34864, 9062, 34861])).
% 50.44/33.54 tff(34866,plain,
% 50.44/33.54 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB65) | v232(constB65) | (~v248(constB65)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB65) | v232(constB65) | (~v248(constB65)))),
% 50.44/33.54 inference(rewrite,[status(thm)],[])).
% 50.44/33.54 tff(34867,plain,
% 50.44/33.54 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB65) | v232(constB65) | (~v248(constB65)))),
% 50.44/33.54 inference(quant_inst,[status(thm)],[])).
% 50.44/33.54 tff(34868,plain,
% 50.44/33.54 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB65) | v232(constB65) | (~v248(constB65))),
% 50.44/33.54 inference(modus_ponens,[status(thm)],[34867, 34866])).
% 50.44/33.54 tff(34869,plain,
% 50.44/33.54 (v232(constB65) | (~v248(constB65))),
% 50.44/33.54 inference(unit_resolution,[status(thm)],[34868, 9076, 34865])).
% 50.44/33.54 tff(34870,plain,
% 50.44/33.54 (~v248(constB65)),
% 50.44/33.54 inference(unit_resolution,[status(thm)],[34869, 34842])).
% 50.44/33.54 tff(34871,plain,
% 50.44/33.54 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB65) | (~v244(constB65)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB65) | (~v244(constB65)))),
% 50.44/33.54 inference(rewrite,[status(thm)],[])).
% 50.44/33.54 tff(34872,plain,
% 50.44/33.54 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB65) | (~v244(constB65)))),
% 50.44/33.54 inference(quant_inst,[status(thm)],[])).
% 50.44/33.54 tff(34873,plain,
% 50.44/33.54 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB65) | (~v244(constB65))),
% 50.44/33.54 inference(modus_ponens,[status(thm)],[34872, 34871])).
% 50.44/33.54 tff(34874,plain,
% 50.44/33.54 (~v244(constB65)),
% 50.44/33.54 inference(unit_resolution,[status(thm)],[34873, 11335, 34870])).
% 50.44/33.54 tff(34875,plain,
% 50.44/33.54 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB65) | (~v216(constB65, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB65) | (~v216(constB65, bitIndex1)))),
% 50.44/33.54 inference(rewrite,[status(thm)],[])).
% 50.44/33.54 tff(34876,plain,
% 50.44/33.54 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB65) | (~v216(constB65, bitIndex1)))),
% 50.44/33.54 inference(quant_inst,[status(thm)],[])).
% 50.44/33.54 tff(34877,plain,
% 50.44/33.54 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB65) | (~v216(constB65, bitIndex1))),
% 50.44/33.54 inference(modus_ponens,[status(thm)],[34876, 34875])).
% 50.44/33.54 tff(34878,plain,
% 50.44/33.54 (~v216(constB65, bitIndex1)),
% 50.44/33.54 inference(unit_resolution,[status(thm)],[34877, 11346, 34874])).
% 50.44/33.54 tff(34879,plain,
% 50.44/33.54 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB65, bitIndex1) | (~v254(constB65)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB65, bitIndex1) | (~v254(constB65)))),
% 50.44/33.54 inference(rewrite,[status(thm)],[])).
% 50.44/33.54 tff(34880,plain,
% 50.44/33.54 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB65, bitIndex1) | (~v254(constB65)))),
% 50.44/33.54 inference(quant_inst,[status(thm)],[])).
% 50.44/33.54 tff(34881,plain,
% 50.44/33.54 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB65, bitIndex1) | (~v254(constB65))),
% 50.44/33.54 inference(modus_ponens,[status(thm)],[34880, 34879])).
% 50.44/33.54 tff(34882,plain,
% 50.44/33.54 (~v254(constB65)),
% 50.44/33.54 inference(unit_resolution,[status(thm)],[34881, 11357, 34878])).
% 50.44/33.54 tff(34883,plain,
% 50.44/33.54 (((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB65) | (~v221(constB65)))) <=> ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB65) | (~v221(constB65)))),
% 50.44/33.54 inference(rewrite,[status(thm)],[])).
% 50.44/33.54 tff(34884,plain,
% 50.44/33.54 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB65) | (~v221(constB65)))),
% 50.44/33.54 inference(quant_inst,[status(thm)],[])).
% 50.44/33.54 tff(34885,plain,
% 50.44/33.54 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB65) | (~v221(constB65))),
% 50.44/33.54 inference(modus_ponens,[status(thm)],[34884, 34883])).
% 50.44/33.54 tff(34886,plain,
% 50.44/33.54 (~v221(constB65)),
% 50.44/33.54 inference(unit_resolution,[status(thm)],[34885, 11505, 34834])).
% 50.44/33.54 tff(34887,plain,
% 50.44/33.54 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB65) | (~v231(constB65)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB65) | (~v231(constB65)))),
% 50.44/33.54 inference(rewrite,[status(thm)],[])).
% 50.44/33.54 tff(34888,plain,
% 50.44/33.54 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB65) | (~v231(constB65)))),
% 50.44/33.54 inference(quant_inst,[status(thm)],[])).
% 50.44/33.54 tff(34889,plain,
% 50.44/33.54 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB65) | (~v231(constB65))),
% 50.44/33.54 inference(modus_ponens,[status(thm)],[34888, 34887])).
% 50.44/33.54 tff(34890,plain,
% 50.44/33.54 (~v231(constB65)),
% 50.44/33.54 inference(unit_resolution,[status(thm)],[34889, 11162, 34865])).
% 50.44/33.54 tff(34891,plain,
% 50.44/33.54 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB65) | v231(constB65) | (~v243(constB65)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB65) | v231(constB65) | (~v243(constB65)))),
% 50.44/33.55 inference(rewrite,[status(thm)],[])).
% 50.44/33.55 tff(34892,plain,
% 50.44/33.55 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB65) | v231(constB65) | (~v243(constB65)))),
% 50.44/33.55 inference(quant_inst,[status(thm)],[])).
% 50.44/33.55 tff(34893,plain,
% 50.44/33.55 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB65) | v231(constB65) | (~v243(constB65))),
% 50.44/33.55 inference(modus_ponens,[status(thm)],[34892, 34891])).
% 50.44/33.55 tff(34894,plain,
% 50.44/33.55 (~v243(constB65)),
% 50.44/33.55 inference(unit_resolution,[status(thm)],[34893, 11206, 34890, 34886])).
% 50.44/33.55 tff(34895,plain,
% 50.44/33.55 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB65) | v255(constB65))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB65) | v255(constB65))),
% 50.44/33.55 inference(rewrite,[status(thm)],[])).
% 50.44/33.55 tff(34896,plain,
% 50.44/33.55 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB65) | v255(constB65))),
% 50.44/33.55 inference(quant_inst,[status(thm)],[])).
% 50.44/33.55 tff(34897,plain,
% 50.44/33.55 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB65) | v255(constB65)),
% 50.44/33.55 inference(modus_ponens,[status(thm)],[34896, 34895])).
% 50.44/33.55 tff(34898,plain,
% 50.44/33.55 (v255(constB65)),
% 50.44/33.55 inference(unit_resolution,[status(thm)],[34897, 11222, 34894])).
% 50.44/33.55 tff(34899,plain,
% 50.44/33.55 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB65)) | (~v216(constB65, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB65)) | (~v216(constB65, bitIndex2)))),
% 50.44/33.55 inference(rewrite,[status(thm)],[])).
% 50.44/33.55 tff(34900,plain,
% 50.44/33.55 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB65)) | (~v216(constB65, bitIndex2)))),
% 50.44/33.55 inference(quant_inst,[status(thm)],[])).
% 50.44/33.55 tff(34901,plain,
% 50.44/33.55 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB65)) | (~v216(constB65, bitIndex2))),
% 50.44/33.55 inference(modus_ponens,[status(thm)],[34900, 34899])).
% 50.44/33.55 tff(34902,plain,
% 50.44/33.55 (~v216(constB65, bitIndex2)),
% 50.44/33.55 inference(unit_resolution,[status(thm)],[34901, 11237, 34898])).
% 50.44/33.55 tff(34903,plain,
% 50.44/33.55 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB65, bitIndex2) | v254(constB65) | (~v215(constB65)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB65, bitIndex2) | v254(constB65) | (~v215(constB65)))),
% 50.44/33.55 inference(rewrite,[status(thm)],[])).
% 50.44/33.55 tff(34904,plain,
% 50.44/33.55 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB65, bitIndex2) | v254(constB65) | (~v215(constB65)))),
% 50.44/33.55 inference(quant_inst,[status(thm)],[])).
% 50.44/33.55 tff(34905,plain,
% 50.44/33.55 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB65, bitIndex2) | v254(constB65) | (~v215(constB65))),
% 50.44/33.55 inference(modus_ponens,[status(thm)],[34904, 34903])).
% 50.44/33.55 tff(34906,plain,
% 50.44/33.55 (v254(constB65) | (~v215(constB65))),
% 50.44/33.55 inference(unit_resolution,[status(thm)],[34905, 11278, 34902])).
% 50.44/33.55 tff(34907,plain,
% 50.44/33.55 (~v215(constB65)),
% 50.44/33.55 inference(unit_resolution,[status(thm)],[34906, 34882])).
% 50.44/33.55 tff(34908,plain,
% 50.44/33.55 ($false),
% 50.44/33.55 inference(unit_resolution,[status(thm)],[34907, 34736])).
% 50.44/33.55 tff(34909,plain,(~(constB65 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.44/33.55 tff(34910,assumption,(constB149 = sK0_VarCurr), introduced(assumption)).
% 50.44/33.55 tff(34911,plain,
% 50.44/33.55 (v215(constB149) <=> v215(sK0_VarCurr)),
% 50.44/33.55 inference(monotonicity,[status(thm)],[34910])).
% 50.44/33.55 tff(34912,plain,
% 50.44/33.55 (v215(sK0_VarCurr) <=> v215(constB149)),
% 50.44/33.55 inference(symmetry,[status(thm)],[34911])).
% 50.44/33.55 tff(34913,plain,
% 50.44/33.55 (v215(constB149)),
% 50.44/33.55 inference(modus_ponens,[status(thm)],[11268, 34912])).
% 50.44/33.55 tff(34914,plain,
% 50.44/33.55 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB149, bitIndex2) | (~v88(constB149, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB149, bitIndex2) | (~v88(constB149, bitIndex2)))),
% 50.44/33.55 inference(rewrite,[status(thm)],[])).
% 50.44/33.55 tff(34915,plain,
% 50.44/33.55 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB149, bitIndex2) | (~v88(constB149, bitIndex2)))),
% 50.44/33.55 inference(quant_inst,[status(thm)],[])).
% 50.44/33.55 tff(34916,plain,
% 50.44/33.55 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB149, bitIndex2) | (~v88(constB149, bitIndex2))),
% 50.44/33.55 inference(modus_ponens,[status(thm)],[34915, 34914])).
% 50.44/33.55 tff(34917,plain,
% 50.44/33.55 (~v88(constB149, bitIndex2)),
% 50.44/33.55 inference(unit_resolution,[status(thm)],[34916, 8769, 20519])).
% 50.44/33.55 tff(34918,plain,
% 50.44/33.55 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB149, bitIndex0) | (~v88(constB149, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB149, bitIndex0) | (~v88(constB149, bitIndex0)))),
% 50.44/33.55 inference(rewrite,[status(thm)],[])).
% 50.44/33.55 tff(34919,plain,
% 50.44/33.55 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB149, bitIndex0) | (~v88(constB149, bitIndex0)))),
% 50.44/33.55 inference(quant_inst,[status(thm)],[])).
% 50.44/33.55 tff(34920,plain,
% 50.44/33.55 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB149, bitIndex0) | (~v88(constB149, bitIndex0))),
% 50.44/33.55 inference(modus_ponens,[status(thm)],[34919, 34918])).
% 50.44/33.55 tff(34921,plain,
% 50.44/33.55 (~v88(constB149, bitIndex0)),
% 50.44/33.55 inference(unit_resolution,[status(thm)],[34920, 10505, 20592])).
% 50.44/33.55 tff(34922,plain,
% 50.44/33.55 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB149, bitIndex1)) | v88(constB149, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB149, bitIndex1)) | v88(constB149, bitIndex1))),
% 50.44/33.55 inference(rewrite,[status(thm)],[])).
% 50.44/33.55 tff(34923,plain,
% 50.44/33.55 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB149, bitIndex1)) | v88(constB149, bitIndex1))),
% 50.44/33.55 inference(quant_inst,[status(thm)],[])).
% 50.44/33.55 tff(34924,plain,
% 50.44/33.55 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB149, bitIndex1)) | v88(constB149, bitIndex1)),
% 50.44/33.55 inference(modus_ponens,[status(thm)],[34923, 34922])).
% 50.44/33.55 tff(34925,plain,
% 50.44/33.55 (v88(constB149, bitIndex1)),
% 50.44/33.55 inference(unit_resolution,[status(thm)],[34924, 8707, 20550])).
% 50.44/33.55 tff(34926,plain,
% 50.44/33.55 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB149, bitIndex0) | v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v143(constB149))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB149, bitIndex0) | v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v143(constB149))),
% 50.44/33.55 inference(rewrite,[status(thm)],[])).
% 50.44/33.55 tff(34927,plain,
% 50.44/33.55 ((v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v88(constB149, bitIndex0) | v143(constB149)) <=> (v88(constB149, bitIndex0) | v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v143(constB149))),
% 50.44/33.55 inference(rewrite,[status(thm)],[])).
% 50.44/33.55 tff(34928,plain,
% 50.44/33.55 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v88(constB149, bitIndex0) | v143(constB149))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB149, bitIndex0) | v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v143(constB149)))),
% 50.44/33.55 inference(monotonicity,[status(thm)],[34927])).
% 50.44/33.55 tff(34929,plain,
% 50.44/33.55 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v88(constB149, bitIndex0) | v143(constB149))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB149, bitIndex0) | v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v143(constB149))),
% 50.44/33.55 inference(transitivity,[status(thm)],[34928, 34926])).
% 50.44/33.55 tff(34930,plain,
% 50.44/33.55 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v88(constB149, bitIndex0) | v143(constB149))),
% 50.44/33.55 inference(quant_inst,[status(thm)],[])).
% 50.44/33.55 tff(34931,plain,
% 50.44/33.55 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB149, bitIndex0) | v88(constB149, bitIndex2) | (~v88(constB149, bitIndex1)) | v143(constB149)),
% 50.44/33.55 inference(modus_ponens,[status(thm)],[34930, 34929])).
% 50.44/33.55 tff(34932,plain,
% 50.44/33.55 (v143(constB149)),
% 50.44/33.55 inference(unit_resolution,[status(thm)],[34931, 10523, 34925, 34921, 34917])).
% 50.44/33.55 tff(34933,plain,
% 50.44/33.55 (((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB149) | (~v143(constB149)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB149) | (~v143(constB149)))),
% 50.44/33.55 inference(rewrite,[status(thm)],[])).
% 50.44/33.55 tff(34934,plain,
% 50.44/33.55 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB149) | (~v143(constB149)))),
% 50.44/33.55 inference(quant_inst,[status(thm)],[])).
% 50.44/33.55 tff(34935,plain,
% 50.44/33.55 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB149) | (~v143(constB149))),
% 50.44/33.55 inference(modus_ponens,[status(thm)],[34934, 34933])).
% 50.44/33.55 tff(34936,plain,
% 50.44/33.55 (v142(constB149)),
% 50.44/33.55 inference(unit_resolution,[status(thm)],[34935, 10537, 34932])).
% 50.44/33.55 tff(34937,plain,
% 50.44/33.55 (((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB149) | (~v142(constB149)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB149) | (~v142(constB149)))),
% 50.44/33.55 inference(rewrite,[status(thm)],[])).
% 50.44/33.55 tff(34938,plain,
% 50.44/33.55 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB149) | (~v142(constB149)))),
% 50.44/33.55 inference(quant_inst,[status(thm)],[])).
% 50.44/33.55 tff(34939,plain,
% 50.44/33.55 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB149) | (~v142(constB149))),
% 50.44/33.55 inference(modus_ponens,[status(thm)],[34938, 34937])).
% 50.44/33.55 tff(34940,plain,
% 50.44/33.55 (v198(constB149)),
% 50.44/33.55 inference(unit_resolution,[status(thm)],[34939, 10548, 34936])).
% 50.44/33.55 tff(34941,plain,
% 50.44/33.55 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB149)) | (~v201(constB149)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB149)) | (~v201(constB149)))),
% 50.44/33.55 inference(rewrite,[status(thm)],[])).
% 50.44/33.55 tff(34942,plain,
% 50.44/33.55 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB149)) | (~v201(constB149)))),
% 50.44/33.55 inference(quant_inst,[status(thm)],[])).
% 50.44/33.55 tff(34943,plain,
% 50.44/33.55 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB149)) | (~v201(constB149))),
% 50.44/33.55 inference(modus_ponens,[status(thm)],[34942, 34941])).
% 50.44/33.55 tff(34944,plain,
% 50.44/33.55 (~v201(constB149)),
% 50.44/33.55 inference(unit_resolution,[status(thm)],[34943, 8823, 34940])).
% 50.44/33.55 tff(34945,plain,
% 50.44/33.55 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB149) | (~v198(constB149)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB149) | (~v198(constB149)))),
% 50.44/33.55 inference(rewrite,[status(thm)],[])).
% 50.44/33.55 tff(34946,plain,
% 50.44/33.55 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB149) | (~v198(constB149)))),
% 50.44/33.55 inference(quant_inst,[status(thm)],[])).
% 50.44/33.55 tff(34947,plain,
% 50.44/33.55 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB149) | (~v198(constB149))),
% 50.44/33.55 inference(modus_ponens,[status(thm)],[34946, 34945])).
% 50.44/33.55 tff(34948,plain,
% 50.44/33.55 (v197(constB149)),
% 50.44/33.55 inference(unit_resolution,[status(thm)],[34947, 8834, 34940])).
% 50.44/33.55 tff(34949,plain,
% 50.44/33.55 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB149) | v201(constB149) | (~v197(constB149)))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB149) | v201(constB149) | (~v197(constB149)))),
% 50.44/33.55 inference(rewrite,[status(thm)],[])).
% 50.44/33.55 tff(34950,plain,
% 50.44/33.55 (((~v197(constB149)) | v201(constB149) | v227(constB149)) <=> (v227(constB149) | v201(constB149) | (~v197(constB149)))),
% 50.44/33.55 inference(rewrite,[status(thm)],[])).
% 50.44/33.55 tff(34951,plain,
% 50.44/33.55 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB149)) | v201(constB149) | v227(constB149))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB149) | v201(constB149) | (~v197(constB149))))),
% 50.44/33.55 inference(monotonicity,[status(thm)],[34950])).
% 50.44/33.55 tff(34952,plain,
% 50.44/33.55 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB149)) | v201(constB149) | v227(constB149))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB149) | v201(constB149) | (~v197(constB149)))),
% 50.44/33.55 inference(transitivity,[status(thm)],[34951, 34949])).
% 50.44/33.55 tff(34953,plain,
% 50.44/33.55 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB149)) | v201(constB149) | v227(constB149))),
% 50.44/33.55 inference(quant_inst,[status(thm)],[])).
% 50.44/33.55 tff(34954,plain,
% 50.44/33.55 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB149) | v201(constB149) | (~v197(constB149))),
% 50.44/33.55 inference(modus_ponens,[status(thm)],[34953, 34952])).
% 50.44/33.55 tff(34955,plain,
% 50.44/33.55 (v227(constB149)),
% 50.44/33.55 inference(unit_resolution,[status(thm)],[34954, 8848, 34948, 34944])).
% 50.44/33.55 tff(34956,plain,
% 50.44/33.55 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB149)) | (~v223(constB149, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB149)) | (~v223(constB149, bitIndex0)))),
% 50.44/33.55 inference(rewrite,[status(thm)],[])).
% 50.44/33.55 tff(34957,plain,
% 50.44/33.55 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB149)) | (~v223(constB149, bitIndex0)))),
% 50.44/33.55 inference(quant_inst,[status(thm)],[])).
% 50.44/33.55 tff(34958,plain,
% 50.44/33.55 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB149)) | (~v223(constB149, bitIndex0))),
% 50.44/33.55 inference(modus_ponens,[status(thm)],[34957, 34956])).
% 50.44/33.55 tff(34959,plain,
% 50.44/33.55 (~v223(constB149, bitIndex0)),
% 50.44/33.55 inference(unit_resolution,[status(thm)],[34958, 8862, 34955])).
% 50.44/33.55 tff(34960,plain,
% 50.44/33.55 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB149, bitIndex0) | (~v222(constB149)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | v223(constB149, bitIndex0) | (~v222(constB149)))),
% 50.44/33.55 inference(rewrite,[status(thm)],[])).
% 50.44/33.55 tff(34961,plain,
% 50.44/33.55 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB149, bitIndex0) | (~v222(constB149)))),
% 50.44/33.55 inference(quant_inst,[status(thm)],[])).
% 50.44/33.55 tff(34962,plain,
% 50.44/33.55 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | v223(constB149, bitIndex0) | (~v222(constB149))),
% 50.44/33.55 inference(modus_ponens,[status(thm)],[34961, 34960])).
% 50.44/33.55 tff(34963,plain,
% 50.44/33.55 (~v222(constB149)),
% 50.44/33.55 inference(unit_resolution,[status(thm)],[34962, 10578, 34959])).
% 50.44/33.55 tff(34964,plain,
% 50.44/33.55 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB149, bitIndex1)) | (~v139(constB149)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB149, bitIndex1)) | (~v139(constB149)))),
% 50.44/33.55 inference(rewrite,[status(thm)],[])).
% 50.44/33.55 tff(34965,plain,
% 50.44/33.55 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB149, bitIndex1)) | (~v139(constB149)))),
% 50.44/33.55 inference(quant_inst,[status(thm)],[])).
% 50.44/33.55 tff(34966,plain,
% 50.44/33.55 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB149, bitIndex1)) | (~v139(constB149))),
% 50.44/33.55 inference(modus_ponens,[status(thm)],[34965, 34964])).
% 50.44/33.55 tff(34967,plain,
% 50.44/33.55 (~v139(constB149)),
% 50.44/33.55 inference(unit_resolution,[status(thm)],[34966, 10589, 34925])).
% 50.44/33.55 tff(34968,plain,
% 50.44/33.55 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB149, bitIndex1)) | (~v140(constB149)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB149, bitIndex1)) | (~v140(constB149)))),
% 50.44/33.55 inference(rewrite,[status(thm)],[])).
% 50.44/33.55 tff(34969,plain,
% 50.44/33.55 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB149, bitIndex1)) | (~v140(constB149)))),
% 50.44/33.55 inference(quant_inst,[status(thm)],[])).
% 50.44/33.55 tff(34970,plain,
% 50.44/33.55 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB149, bitIndex1)) | (~v140(constB149))),
% 50.44/33.55 inference(modus_ponens,[status(thm)],[34969, 34968])).
% 50.44/33.55 tff(34971,plain,
% 50.44/33.55 (~v140(constB149)),
% 50.44/33.55 inference(unit_resolution,[status(thm)],[34970, 9002, 34925])).
% 50.44/33.55 tff(34972,plain,
% 50.44/33.55 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB149) | v139(constB149) | (~v200(constB149)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB149) | v139(constB149) | (~v200(constB149)))),
% 50.44/33.55 inference(rewrite,[status(thm)],[])).
% 50.44/33.55 tff(34973,plain,
% 50.44/33.55 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB149) | v139(constB149) | (~v200(constB149)))),
% 50.44/33.55 inference(quant_inst,[status(thm)],[])).
% 50.44/33.55 tff(34974,plain,
% 50.44/33.55 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB149) | v139(constB149) | (~v200(constB149))),
% 50.44/33.55 inference(modus_ponens,[status(thm)],[34973, 34972])).
% 50.44/33.55 tff(34975,plain,
% 50.44/33.55 (~v200(constB149)),
% 50.44/33.55 inference(unit_resolution,[status(thm)],[34974, 10610, 34971, 34967])).
% 50.44/33.55 tff(34976,plain,
% 50.44/33.55 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB149, bitIndex0) | (~v141(constB149)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB149, bitIndex0) | (~v141(constB149)))),
% 50.44/33.55 inference(rewrite,[status(thm)],[])).
% 50.44/33.55 tff(34977,plain,
% 50.44/33.55 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB149, bitIndex0) | (~v141(constB149)))),
% 50.44/33.55 inference(quant_inst,[status(thm)],[])).
% 50.44/33.55 tff(34978,plain,
% 50.44/33.55 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB149, bitIndex0) | (~v141(constB149))),
% 50.44/33.55 inference(modus_ponens,[status(thm)],[34977, 34976])).
% 50.44/33.55 tff(34979,plain,
% 50.44/33.55 (~v141(constB149)),
% 50.44/33.55 inference(unit_resolution,[status(thm)],[34978, 10624, 34921])).
% 50.44/33.55 tff(34980,plain,
% 50.44/33.55 (((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB149) | v200(constB149) | (~v166(constB149)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB149) | v200(constB149) | (~v166(constB149)))),
% 50.44/33.55 inference(rewrite,[status(thm)],[])).
% 50.44/33.55 tff(34981,plain,
% 50.44/33.55 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB149) | v200(constB149) | (~v166(constB149)))),
% 50.44/33.55 inference(quant_inst,[status(thm)],[])).
% 50.44/33.55 tff(34982,plain,
% 50.44/33.55 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB149) | v200(constB149) | (~v166(constB149))),
% 50.44/33.55 inference(modus_ponens,[status(thm)],[34981, 34980])).
% 50.44/33.55 tff(34983,plain,
% 50.44/33.55 (~v166(constB149)),
% 50.44/33.55 inference(unit_resolution,[status(thm)],[34982, 10638, 34979, 34975])).
% 50.44/33.55 tff(34984,plain,
% 50.44/33.55 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB149) | (~v197(constB149)) | v166(constB149))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB149) | (~v197(constB149)) | v166(constB149))),
% 50.44/33.55 inference(rewrite,[status(thm)],[])).
% 50.44/33.55 tff(34985,plain,
% 50.44/33.55 (((~v197(constB149)) | v166(constB149) | v241(constB149)) <=> (v241(constB149) | (~v197(constB149)) | v166(constB149))),
% 50.44/33.55 inference(rewrite,[status(thm)],[])).
% 50.44/33.55 tff(34986,plain,
% 50.44/33.55 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB149)) | v166(constB149) | v241(constB149))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB149) | (~v197(constB149)) | v166(constB149)))),
% 50.44/33.55 inference(monotonicity,[status(thm)],[34985])).
% 50.44/33.55 tff(34987,plain,
% 50.44/33.55 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB149)) | v166(constB149) | v241(constB149))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB149) | (~v197(constB149)) | v166(constB149))),
% 50.44/33.55 inference(transitivity,[status(thm)],[34986, 34984])).
% 50.44/33.55 tff(34988,plain,
% 50.44/33.55 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB149)) | v166(constB149) | v241(constB149))),
% 50.44/33.55 inference(quant_inst,[status(thm)],[])).
% 50.44/33.55 tff(34989,plain,
% 50.44/33.55 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB149) | (~v197(constB149)) | v166(constB149)),
% 50.44/33.55 inference(modus_ponens,[status(thm)],[34988, 34987])).
% 50.44/33.55 tff(34990,plain,
% 50.44/33.55 (v241(constB149) | (~v197(constB149))),
% 50.44/33.55 inference(unit_resolution,[status(thm)],[34989, 10277, 34983])).
% 50.44/33.55 tff(34991,plain,
% 50.44/33.55 (v241(constB149)),
% 50.44/33.55 inference(unit_resolution,[status(thm)],[34990, 34948])).
% 50.44/33.55 tff(34992,plain,
% 50.44/33.55 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB149)) | (~v223(constB149, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB149)) | (~v223(constB149, bitIndex2)))),
% 50.44/33.55 inference(rewrite,[status(thm)],[])).
% 50.44/33.55 tff(34993,plain,
% 50.44/33.55 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB149)) | (~v223(constB149, bitIndex2)))),
% 50.44/33.55 inference(quant_inst,[status(thm)],[])).
% 50.44/33.55 tff(34994,plain,
% 50.44/33.55 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB149)) | (~v223(constB149, bitIndex2))),
% 50.44/33.55 inference(modus_ponens,[status(thm)],[34993, 34992])).
% 50.44/33.55 tff(34995,plain,
% 50.44/33.55 (~v223(constB149, bitIndex2)),
% 50.44/33.55 inference(unit_resolution,[status(thm)],[34994, 10292, 34991])).
% 50.44/33.55 tff(34996,plain,
% 50.44/33.55 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB149)) | v223(constB149, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB149)) | v223(constB149, bitIndex2))),
% 50.44/33.55 inference(rewrite,[status(thm)],[])).
% 50.44/33.55 tff(34997,plain,
% 50.44/33.55 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB149)) | v223(constB149, bitIndex2))),
% 50.44/33.55 inference(quant_inst,[status(thm)],[])).
% 50.44/33.55 tff(34998,plain,
% 50.44/33.55 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB149)) | v223(constB149, bitIndex2)),
% 50.44/33.55 inference(modus_ponens,[status(thm)],[34997, 34996])).
% 50.44/33.55 tff(34999,plain,
% 50.44/33.55 (~v224(constB149)),
% 50.44/33.55 inference(unit_resolution,[status(thm)],[34998, 10343, 34995])).
% 50.44/33.55 tff(35000,plain,
% 50.44/33.55 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB149) | v224(constB149) | (~v236(constB149)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB149) | v224(constB149) | (~v236(constB149)))),
% 50.44/33.55 inference(rewrite,[status(thm)],[])).
% 50.44/33.55 tff(35001,plain,
% 50.44/33.55 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB149) | v224(constB149) | (~v236(constB149)))),
% 50.44/33.55 inference(quant_inst,[status(thm)],[])).
% 50.44/33.55 tff(35002,plain,
% 50.44/33.55 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB149) | v224(constB149) | (~v236(constB149))),
% 50.44/33.55 inference(modus_ponens,[status(thm)],[35001, 35000])).
% 50.44/33.55 tff(35003,plain,
% 50.44/33.55 (~v236(constB149)),
% 50.44/33.55 inference(unit_resolution,[status(thm)],[35002, 8968, 34999, 34963])).
% 50.44/33.55 tff(35004,plain,
% 50.44/33.55 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB149) | (~v232(constB149)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB149) | (~v232(constB149)))),
% 50.44/33.55 inference(rewrite,[status(thm)],[])).
% 50.44/33.55 tff(35005,plain,
% 50.44/33.55 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB149) | (~v232(constB149)))),
% 50.44/33.55 inference(quant_inst,[status(thm)],[])).
% 50.44/33.55 tff(35006,plain,
% 50.44/33.55 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB149) | (~v232(constB149))),
% 50.44/33.55 inference(modus_ponens,[status(thm)],[35005, 35004])).
% 50.44/33.55 tff(35007,plain,
% 50.44/33.55 (~v232(constB149)),
% 50.44/33.55 inference(unit_resolution,[status(thm)],[35006, 8980, 35003])).
% 50.44/33.55 tff(35008,plain,
% 50.44/33.55 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB149) | v139(constB149) | (~v148(constB149)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB149) | v139(constB149) | (~v148(constB149)))),
% 50.44/33.55 inference(rewrite,[status(thm)],[])).
% 50.44/33.55 tff(35009,plain,
% 50.44/33.55 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB149) | v139(constB149) | (~v148(constB149)))),
% 50.44/33.55 inference(quant_inst,[status(thm)],[])).
% 50.44/33.55 tff(35010,plain,
% 50.44/33.55 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB149) | v139(constB149) | (~v148(constB149))),
% 50.44/33.55 inference(modus_ponens,[status(thm)],[35009, 35008])).
% 50.44/33.55 tff(35011,plain,
% 50.44/33.55 (~v148(constB149)),
% 50.44/33.55 inference(unit_resolution,[status(thm)],[35010, 9016, 34971, 34967])).
% 50.44/33.55 tff(35012,plain,
% 50.44/33.55 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB149) | (~v197(constB149)) | v148(constB149))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB149) | (~v197(constB149)) | v148(constB149))),
% 50.44/33.55 inference(rewrite,[status(thm)],[])).
% 50.44/33.55 tff(35013,plain,
% 50.44/33.55 ((v148(constB149) | (~v197(constB149)) | v252(constB149)) <=> (v252(constB149) | (~v197(constB149)) | v148(constB149))),
% 50.44/33.55 inference(rewrite,[status(thm)],[])).
% 50.44/33.55 tff(35014,plain,
% 50.44/33.55 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB149) | (~v197(constB149)) | v252(constB149))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB149) | (~v197(constB149)) | v148(constB149)))),
% 50.44/33.55 inference(monotonicity,[status(thm)],[35013])).
% 50.44/33.55 tff(35015,plain,
% 50.44/33.55 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB149) | (~v197(constB149)) | v252(constB149))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB149) | (~v197(constB149)) | v148(constB149))),
% 50.44/33.55 inference(transitivity,[status(thm)],[35014, 35012])).
% 50.44/33.55 tff(35016,plain,
% 50.44/33.55 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB149) | (~v197(constB149)) | v252(constB149))),
% 50.44/33.55 inference(quant_inst,[status(thm)],[])).
% 50.44/33.55 tff(35017,plain,
% 50.44/33.55 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB149) | (~v197(constB149)) | v148(constB149)),
% 50.44/33.55 inference(modus_ponens,[status(thm)],[35016, 35015])).
% 50.44/33.55 tff(35018,plain,
% 50.44/33.55 (v252(constB149) | (~v197(constB149))),
% 50.44/33.55 inference(unit_resolution,[status(thm)],[35017, 9033, 35011])).
% 50.44/33.55 tff(35019,plain,
% 50.44/33.55 (v252(constB149)),
% 50.44/33.55 inference(unit_resolution,[status(thm)],[35018, 34948])).
% 50.44/33.55 tff(35020,plain,
% 50.44/33.55 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB149)) | (~v223(constB149, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB149)) | (~v223(constB149, bitIndex3)))),
% 50.44/33.55 inference(rewrite,[status(thm)],[])).
% 50.44/33.55 tff(35021,plain,
% 50.44/33.55 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB149)) | (~v223(constB149, bitIndex3)))),
% 50.44/33.55 inference(quant_inst,[status(thm)],[])).
% 50.44/33.55 tff(35022,plain,
% 50.44/33.55 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB149)) | (~v223(constB149, bitIndex3))),
% 50.44/33.55 inference(modus_ponens,[status(thm)],[35021, 35020])).
% 50.44/33.55 tff(35023,plain,
% 50.44/33.55 (~v223(constB149, bitIndex3)),
% 50.44/33.55 inference(unit_resolution,[status(thm)],[35022, 9048, 35019])).
% 50.44/33.55 tff(35024,plain,
% 50.44/33.55 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB149)) | v223(constB149, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB149)) | v223(constB149, bitIndex3))),
% 50.44/33.55 inference(rewrite,[status(thm)],[])).
% 50.44/33.55 tff(35025,plain,
% 50.44/33.55 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB149)) | v223(constB149, bitIndex3))),
% 50.44/33.55 inference(quant_inst,[status(thm)],[])).
% 50.44/33.55 tff(35026,plain,
% 50.44/33.55 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB149)) | v223(constB149, bitIndex3)),
% 50.44/33.55 inference(modus_ponens,[status(thm)],[35025, 35024])).
% 50.44/33.55 tff(35027,plain,
% 50.44/33.55 (~v237(constB149)),
% 50.44/33.55 inference(unit_resolution,[status(thm)],[35026, 9062, 35023])).
% 50.44/33.55 tff(35028,plain,
% 50.44/33.55 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB149) | v232(constB149) | (~v248(constB149)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB149) | v232(constB149) | (~v248(constB149)))),
% 50.44/33.55 inference(rewrite,[status(thm)],[])).
% 50.44/33.55 tff(35029,plain,
% 50.44/33.55 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB149) | v232(constB149) | (~v248(constB149)))),
% 50.44/33.55 inference(quant_inst,[status(thm)],[])).
% 50.44/33.55 tff(35030,plain,
% 50.44/33.55 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB149) | v232(constB149) | (~v248(constB149))),
% 50.44/33.55 inference(modus_ponens,[status(thm)],[35029, 35028])).
% 50.44/33.55 tff(35031,plain,
% 50.44/33.55 (v232(constB149) | (~v248(constB149))),
% 50.44/33.55 inference(unit_resolution,[status(thm)],[35030, 9076, 35027])).
% 50.44/33.55 tff(35032,plain,
% 50.44/33.55 (~v248(constB149)),
% 50.44/33.55 inference(unit_resolution,[status(thm)],[35031, 35007])).
% 50.44/33.55 tff(35033,plain,
% 50.44/33.55 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB149) | (~v244(constB149)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB149) | (~v244(constB149)))),
% 50.44/33.55 inference(rewrite,[status(thm)],[])).
% 50.44/33.55 tff(35034,plain,
% 50.44/33.55 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB149) | (~v244(constB149)))),
% 50.44/33.55 inference(quant_inst,[status(thm)],[])).
% 50.44/33.55 tff(35035,plain,
% 50.44/33.55 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB149) | (~v244(constB149))),
% 50.44/33.55 inference(modus_ponens,[status(thm)],[35034, 35033])).
% 50.44/33.55 tff(35036,plain,
% 50.44/33.55 (~v244(constB149)),
% 50.44/33.55 inference(unit_resolution,[status(thm)],[35035, 11335, 35032])).
% 50.44/33.55 tff(35037,plain,
% 50.44/33.55 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB149) | (~v216(constB149, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB149) | (~v216(constB149, bitIndex1)))),
% 50.44/33.55 inference(rewrite,[status(thm)],[])).
% 50.44/33.55 tff(35038,plain,
% 50.44/33.55 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB149) | (~v216(constB149, bitIndex1)))),
% 50.44/33.55 inference(quant_inst,[status(thm)],[])).
% 50.44/33.55 tff(35039,plain,
% 50.44/33.55 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB149) | (~v216(constB149, bitIndex1))),
% 50.44/33.55 inference(modus_ponens,[status(thm)],[35038, 35037])).
% 50.44/33.55 tff(35040,plain,
% 50.44/33.55 (~v216(constB149, bitIndex1)),
% 50.44/33.55 inference(unit_resolution,[status(thm)],[35039, 11346, 35036])).
% 50.44/33.55 tff(35041,plain,
% 50.44/33.55 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB149, bitIndex1) | (~v254(constB149)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB149, bitIndex1) | (~v254(constB149)))),
% 50.44/33.55 inference(rewrite,[status(thm)],[])).
% 50.44/33.55 tff(35042,plain,
% 50.44/33.55 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB149, bitIndex1) | (~v254(constB149)))),
% 50.44/33.55 inference(quant_inst,[status(thm)],[])).
% 50.44/33.55 tff(35043,plain,
% 50.44/33.55 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB149, bitIndex1) | (~v254(constB149))),
% 50.44/33.55 inference(modus_ponens,[status(thm)],[35042, 35041])).
% 50.44/33.55 tff(35044,plain,
% 50.44/33.55 (~v254(constB149)),
% 50.44/33.55 inference(unit_resolution,[status(thm)],[35043, 11357, 35040])).
% 50.44/33.55 tff(35045,plain,
% 50.44/33.55 (((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB149) | (~v221(constB149)))) <=> ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB149) | (~v221(constB149)))),
% 50.44/33.55 inference(rewrite,[status(thm)],[])).
% 50.44/33.55 tff(35046,plain,
% 50.44/33.55 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB149) | (~v221(constB149)))),
% 50.44/33.55 inference(quant_inst,[status(thm)],[])).
% 50.44/33.55 tff(35047,plain,
% 50.44/33.55 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB149) | (~v221(constB149))),
% 50.44/33.55 inference(modus_ponens,[status(thm)],[35046, 35045])).
% 50.44/33.55 tff(35048,plain,
% 50.44/33.55 (~v221(constB149)),
% 50.44/33.55 inference(unit_resolution,[status(thm)],[35047, 11505, 34999])).
% 50.44/33.55 tff(35049,plain,
% 50.44/33.55 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB149) | (~v231(constB149)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB149) | (~v231(constB149)))),
% 50.44/33.55 inference(rewrite,[status(thm)],[])).
% 50.44/33.55 tff(35050,plain,
% 50.44/33.55 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB149) | (~v231(constB149)))),
% 50.44/33.55 inference(quant_inst,[status(thm)],[])).
% 50.44/33.55 tff(35051,plain,
% 50.44/33.55 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB149) | (~v231(constB149))),
% 50.44/33.55 inference(modus_ponens,[status(thm)],[35050, 35049])).
% 50.44/33.55 tff(35052,plain,
% 50.44/33.55 (~v231(constB149)),
% 50.44/33.55 inference(unit_resolution,[status(thm)],[35051, 11162, 35027])).
% 50.44/33.55 tff(35053,plain,
% 50.44/33.55 (((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB149) | v231(constB149) | (~v243(constB149)))) <=> ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB149) | v231(constB149) | (~v243(constB149)))),
% 50.44/33.55 inference(rewrite,[status(thm)],[])).
% 50.44/33.55 tff(35054,plain,
% 50.44/33.55 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB149) | v231(constB149) | (~v243(constB149)))),
% 50.44/33.55 inference(quant_inst,[status(thm)],[])).
% 50.44/33.55 tff(35055,plain,
% 50.44/33.55 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB149) | v231(constB149) | (~v243(constB149))),
% 50.44/33.55 inference(modus_ponens,[status(thm)],[35054, 35053])).
% 50.44/33.55 tff(35056,plain,
% 50.44/33.55 (~v243(constB149)),
% 50.44/33.55 inference(unit_resolution,[status(thm)],[35055, 11206, 35052, 35048])).
% 50.44/33.55 tff(35057,plain,
% 50.44/33.55 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB149) | v255(constB149))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB149) | v255(constB149))),
% 50.44/33.55 inference(rewrite,[status(thm)],[])).
% 50.44/33.55 tff(35058,plain,
% 50.44/33.55 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB149) | v255(constB149))),
% 50.44/33.55 inference(quant_inst,[status(thm)],[])).
% 50.44/33.55 tff(35059,plain,
% 50.44/33.55 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB149) | v255(constB149)),
% 50.44/33.55 inference(modus_ponens,[status(thm)],[35058, 35057])).
% 50.44/33.55 tff(35060,plain,
% 50.44/33.55 (v255(constB149)),
% 50.44/33.55 inference(unit_resolution,[status(thm)],[35059, 11222, 35056])).
% 50.44/33.55 tff(35061,plain,
% 50.44/33.55 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB149)) | (~v216(constB149, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB149)) | (~v216(constB149, bitIndex2)))),
% 50.44/33.55 inference(rewrite,[status(thm)],[])).
% 50.44/33.55 tff(35062,plain,
% 50.44/33.55 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB149)) | (~v216(constB149, bitIndex2)))),
% 50.44/33.55 inference(quant_inst,[status(thm)],[])).
% 50.44/33.55 tff(35063,plain,
% 50.44/33.55 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB149)) | (~v216(constB149, bitIndex2))),
% 50.44/33.55 inference(modus_ponens,[status(thm)],[35062, 35061])).
% 50.44/33.55 tff(35064,plain,
% 50.44/33.55 (~v216(constB149, bitIndex2)),
% 50.44/33.55 inference(unit_resolution,[status(thm)],[35063, 11237, 35060])).
% 50.44/33.55 tff(35065,plain,
% 50.44/33.55 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB149, bitIndex2) | v254(constB149) | (~v215(constB149)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB149, bitIndex2) | v254(constB149) | (~v215(constB149)))),
% 50.44/33.55 inference(rewrite,[status(thm)],[])).
% 50.44/33.55 tff(35066,plain,
% 50.44/33.55 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB149, bitIndex2) | v254(constB149) | (~v215(constB149)))),
% 50.44/33.55 inference(quant_inst,[status(thm)],[])).
% 50.44/33.55 tff(35067,plain,
% 50.44/33.55 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB149, bitIndex2) | v254(constB149) | (~v215(constB149))),
% 50.44/33.55 inference(modus_ponens,[status(thm)],[35066, 35065])).
% 50.44/33.55 tff(35068,plain,
% 50.44/33.55 (v254(constB149) | (~v215(constB149))),
% 50.44/33.55 inference(unit_resolution,[status(thm)],[35067, 11278, 35064])).
% 50.44/33.56 tff(35069,plain,
% 50.44/33.56 (~v215(constB149)),
% 50.44/33.56 inference(unit_resolution,[status(thm)],[35068, 35044])).
% 50.44/33.56 tff(35070,plain,
% 50.44/33.56 ($false),
% 50.44/33.56 inference(unit_resolution,[status(thm)],[35069, 34913])).
% 50.44/33.56 tff(35071,plain,(~(constB149 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.44/33.56 tff(35072,assumption,(constB19 = sK0_VarCurr), introduced(assumption)).
% 50.44/33.56 tff(35073,plain,
% 50.44/33.56 (v215(constB19) <=> v215(sK0_VarCurr)),
% 50.44/33.56 inference(monotonicity,[status(thm)],[35072])).
% 50.44/33.56 tff(35074,plain,
% 50.44/33.56 (v215(sK0_VarCurr) <=> v215(constB19)),
% 50.44/33.56 inference(symmetry,[status(thm)],[35073])).
% 50.44/33.56 tff(35075,plain,
% 50.44/33.56 (v215(constB19)),
% 50.44/33.56 inference(modus_ponens,[status(thm)],[11268, 35074])).
% 50.44/33.56 tff(35076,plain,
% 50.44/33.56 (((~![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))),
% 50.44/33.56 inference(rewrite,[status(thm)],[])).
% 50.44/33.56 tff(35077,plain,
% 50.44/33.56 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB19, bitIndex1)) | v88(constB19, bitIndex1))),
% 50.44/33.56 inference(quant_inst,[status(thm)],[])).
% 50.44/33.56 tff(35078,plain,
% 50.44/33.56 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB19, bitIndex1)) | v88(constB19, bitIndex1)),
% 50.44/33.56 inference(modus_ponens,[status(thm)],[35077, 35076])).
% 50.44/33.56 tff(35079,plain,
% 50.44/33.56 (v88(constB19, bitIndex1)),
% 50.44/33.56 inference(unit_resolution,[status(thm)],[35078, 8707, 4112])).
% 50.44/33.56 tff(35080,plain,
% 50.44/33.56 (((~![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)))),
% 50.44/33.56 inference(rewrite,[status(thm)],[])).
% 50.44/33.56 tff(35081,plain,
% 50.44/33.56 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB19, bitIndex0) | (~v88(constB19, bitIndex0)))),
% 50.44/33.56 inference(quant_inst,[status(thm)],[])).
% 50.44/33.56 tff(35082,plain,
% 50.44/33.56 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB19, bitIndex0) | (~v88(constB19, bitIndex0))),
% 50.44/33.56 inference(modus_ponens,[status(thm)],[35081, 35080])).
% 50.44/33.56 tff(35083,plain,
% 50.44/33.56 (~v88(constB19, bitIndex0)),
% 50.44/33.56 inference(unit_resolution,[status(thm)],[35082, 10505, 4081])).
% 50.44/33.56 tff(35084,plain,
% 50.44/33.56 (((~![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)))),
% 50.44/33.56 inference(rewrite,[status(thm)],[])).
% 50.44/33.56 tff(35085,plain,
% 50.44/33.56 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB19, bitIndex2) | (~v88(constB19, bitIndex2)))),
% 50.44/33.56 inference(quant_inst,[status(thm)],[])).
% 50.44/33.56 tff(35086,plain,
% 50.44/33.56 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB19, bitIndex2) | (~v88(constB19, bitIndex2))),
% 50.44/33.56 inference(modus_ponens,[status(thm)],[35085, 35084])).
% 50.44/33.56 tff(35087,plain,
% 50.44/33.56 (~v88(constB19, bitIndex2)),
% 50.44/33.56 inference(unit_resolution,[status(thm)],[35086, 8769, 4121])).
% 50.44/33.56 tff(35088,plain,
% 50.44/33.56 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB19, bitIndex2) | (~v88(constB19, bitIndex1)) | v88(constB19, bitIndex0) | v143(constB19))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB19, bitIndex2) | (~v88(constB19, bitIndex1)) | v88(constB19, bitIndex0) | v143(constB19))),
% 50.44/33.56 inference(rewrite,[status(thm)],[])).
% 50.44/33.56 tff(35089,plain,
% 50.44/33.56 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB19, bitIndex2) | (~v88(constB19, bitIndex1)) | v88(constB19, bitIndex0) | v143(constB19))),
% 50.44/33.56 inference(quant_inst,[status(thm)],[])).
% 50.44/33.56 tff(35090,plain,
% 50.44/33.56 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB19, bitIndex2) | (~v88(constB19, bitIndex1)) | v88(constB19, bitIndex0) | v143(constB19)),
% 50.44/33.56 inference(modus_ponens,[status(thm)],[35089, 35088])).
% 50.44/33.56 tff(35091,plain,
% 50.44/33.56 ((~v88(constB19, bitIndex1)) | v88(constB19, bitIndex0) | v143(constB19)),
% 50.44/33.56 inference(unit_resolution,[status(thm)],[35090, 10523, 35087])).
% 50.44/33.56 tff(35092,plain,
% 50.44/33.56 (v143(constB19)),
% 50.44/33.56 inference(unit_resolution,[status(thm)],[35091, 35083, 35079])).
% 50.44/33.56 tff(35093,plain,
% 50.44/33.56 (((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB19) | (~v143(constB19)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB19) | (~v143(constB19)))),
% 50.44/33.56 inference(rewrite,[status(thm)],[])).
% 50.44/33.56 tff(35094,plain,
% 50.44/33.56 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB19) | (~v143(constB19)))),
% 50.44/33.56 inference(quant_inst,[status(thm)],[])).
% 50.44/33.56 tff(35095,plain,
% 50.44/33.56 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB19) | (~v143(constB19))),
% 50.44/33.56 inference(modus_ponens,[status(thm)],[35094, 35093])).
% 50.44/33.56 tff(35096,plain,
% 50.44/33.56 (v142(constB19)),
% 50.44/33.56 inference(unit_resolution,[status(thm)],[35095, 10537, 35092])).
% 50.44/33.56 tff(35097,plain,
% 50.44/33.56 (((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB19) | (~v142(constB19)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB19) | (~v142(constB19)))),
% 50.44/33.56 inference(rewrite,[status(thm)],[])).
% 50.44/33.56 tff(35098,plain,
% 50.44/33.56 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB19) | (~v142(constB19)))),
% 50.44/33.56 inference(quant_inst,[status(thm)],[])).
% 50.44/33.56 tff(35099,plain,
% 50.44/33.56 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB19) | (~v142(constB19))),
% 50.44/33.56 inference(modus_ponens,[status(thm)],[35098, 35097])).
% 50.44/33.56 tff(35100,plain,
% 50.44/33.56 (v198(constB19)),
% 50.44/33.56 inference(unit_resolution,[status(thm)],[35099, 10548, 35096])).
% 50.44/33.56 tff(35101,plain,
% 50.44/33.56 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB19)) | (~v201(constB19)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB19)) | (~v201(constB19)))),
% 50.44/33.56 inference(rewrite,[status(thm)],[])).
% 50.44/33.56 tff(35102,plain,
% 50.44/33.56 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB19)) | (~v201(constB19)))),
% 50.44/33.56 inference(quant_inst,[status(thm)],[])).
% 50.44/33.56 tff(35103,plain,
% 50.44/33.56 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB19)) | (~v201(constB19))),
% 50.44/33.56 inference(modus_ponens,[status(thm)],[35102, 35101])).
% 50.44/33.56 tff(35104,plain,
% 50.44/33.56 (~v201(constB19)),
% 50.44/33.56 inference(unit_resolution,[status(thm)],[35103, 8823, 35100])).
% 50.44/33.56 tff(35105,plain,
% 50.44/33.56 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB19) | (~v198(constB19)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB19) | (~v198(constB19)))),
% 50.44/33.56 inference(rewrite,[status(thm)],[])).
% 50.44/33.56 tff(35106,plain,
% 50.44/33.56 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB19) | (~v198(constB19)))),
% 50.44/33.56 inference(quant_inst,[status(thm)],[])).
% 50.44/33.56 tff(35107,plain,
% 50.44/33.56 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB19) | (~v198(constB19))),
% 50.44/33.56 inference(modus_ponens,[status(thm)],[35106, 35105])).
% 50.44/33.56 tff(35108,plain,
% 50.44/33.56 (v197(constB19)),
% 50.44/33.56 inference(unit_resolution,[status(thm)],[35107, 8834, 35100])).
% 50.44/33.56 tff(35109,plain,
% 50.44/33.56 (((~![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))),
% 50.44/33.56 inference(rewrite,[status(thm)],[])).
% 50.44/33.56 tff(35110,plain,
% 50.44/33.56 (((~v197(constB19)) | v201(constB19) | v227(constB19)) <=> (v227(constB19) | (~v197(constB19)) | v201(constB19))),
% 50.44/33.56 inference(rewrite,[status(thm)],[])).
% 50.44/33.56 tff(35111,plain,
% 50.44/33.56 (((~![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)))),
% 50.44/33.56 inference(monotonicity,[status(thm)],[35110])).
% 50.44/33.56 tff(35112,plain,
% 50.44/33.56 (((~![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))),
% 50.44/33.56 inference(transitivity,[status(thm)],[35111, 35109])).
% 50.44/33.56 tff(35113,plain,
% 50.44/33.56 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB19)) | v201(constB19) | v227(constB19))),
% 50.44/33.56 inference(quant_inst,[status(thm)],[])).
% 50.44/33.56 tff(35114,plain,
% 50.44/33.56 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB19) | (~v197(constB19)) | v201(constB19)),
% 50.44/33.56 inference(modus_ponens,[status(thm)],[35113, 35112])).
% 50.44/33.56 tff(35115,plain,
% 50.44/33.56 (v227(constB19)),
% 50.44/33.56 inference(unit_resolution,[status(thm)],[35114, 8848, 35108, 35104])).
% 50.44/33.56 tff(35116,plain,
% 50.44/33.56 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB19)) | (~v223(constB19, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB19)) | (~v223(constB19, bitIndex0)))),
% 50.44/33.56 inference(rewrite,[status(thm)],[])).
% 50.44/33.56 tff(35117,plain,
% 50.44/33.56 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB19)) | (~v223(constB19, bitIndex0)))),
% 50.44/33.56 inference(quant_inst,[status(thm)],[])).
% 50.44/33.56 tff(35118,plain,
% 50.44/33.56 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB19)) | (~v223(constB19, bitIndex0))),
% 50.44/33.56 inference(modus_ponens,[status(thm)],[35117, 35116])).
% 50.44/33.56 tff(35119,plain,
% 50.44/33.56 (~v223(constB19, bitIndex0)),
% 50.44/33.56 inference(unit_resolution,[status(thm)],[35118, 8862, 35115])).
% 50.44/33.56 tff(35120,plain,
% 50.44/33.56 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB19, bitIndex0) | (~v222(constB19)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | v223(constB19, bitIndex0) | (~v222(constB19)))),
% 50.44/33.56 inference(rewrite,[status(thm)],[])).
% 50.44/33.56 tff(35121,plain,
% 50.44/33.56 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB19, bitIndex0) | (~v222(constB19)))),
% 50.44/33.56 inference(quant_inst,[status(thm)],[])).
% 50.44/33.56 tff(35122,plain,
% 50.44/33.56 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | v223(constB19, bitIndex0) | (~v222(constB19))),
% 50.44/33.56 inference(modus_ponens,[status(thm)],[35121, 35120])).
% 50.44/33.56 tff(35123,plain,
% 50.44/33.56 (~v222(constB19)),
% 50.44/33.56 inference(unit_resolution,[status(thm)],[35122, 10578, 35119])).
% 50.44/33.56 tff(35124,plain,
% 50.44/33.56 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB19, bitIndex1)) | (~v139(constB19)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB19, bitIndex1)) | (~v139(constB19)))),
% 50.44/33.56 inference(rewrite,[status(thm)],[])).
% 50.44/33.56 tff(35125,plain,
% 50.44/33.56 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB19, bitIndex1)) | (~v139(constB19)))),
% 50.44/33.56 inference(quant_inst,[status(thm)],[])).
% 50.44/33.56 tff(35126,plain,
% 50.44/33.56 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB19, bitIndex1)) | (~v139(constB19))),
% 50.44/33.56 inference(modus_ponens,[status(thm)],[35125, 35124])).
% 50.44/33.56 tff(35127,plain,
% 50.44/33.56 (~v139(constB19)),
% 50.44/33.56 inference(unit_resolution,[status(thm)],[35126, 10589, 35079])).
% 50.44/33.56 tff(35128,plain,
% 50.44/33.56 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB19, bitIndex1)) | (~v140(constB19)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB19, bitIndex1)) | (~v140(constB19)))),
% 50.44/33.56 inference(rewrite,[status(thm)],[])).
% 50.44/33.56 tff(35129,plain,
% 50.44/33.56 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB19, bitIndex1)) | (~v140(constB19)))),
% 50.44/33.56 inference(quant_inst,[status(thm)],[])).
% 50.44/33.56 tff(35130,plain,
% 50.44/33.56 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB19, bitIndex1)) | (~v140(constB19))),
% 50.44/33.56 inference(modus_ponens,[status(thm)],[35129, 35128])).
% 50.44/33.56 tff(35131,plain,
% 50.44/33.56 (~v140(constB19)),
% 50.44/33.56 inference(unit_resolution,[status(thm)],[35130, 9002, 35079])).
% 50.44/33.56 tff(35132,plain,
% 50.44/33.56 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB19) | v139(constB19) | (~v200(constB19)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB19) | v139(constB19) | (~v200(constB19)))),
% 50.44/33.56 inference(rewrite,[status(thm)],[])).
% 50.44/33.56 tff(35133,plain,
% 50.44/33.56 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB19) | v139(constB19) | (~v200(constB19)))),
% 50.44/33.56 inference(quant_inst,[status(thm)],[])).
% 50.44/33.56 tff(35134,plain,
% 50.44/33.56 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB19) | v139(constB19) | (~v200(constB19))),
% 50.44/33.56 inference(modus_ponens,[status(thm)],[35133, 35132])).
% 50.44/33.56 tff(35135,plain,
% 50.44/33.56 (~v200(constB19)),
% 50.44/33.56 inference(unit_resolution,[status(thm)],[35134, 10610, 35131, 35127])).
% 50.44/33.56 tff(35136,plain,
% 50.44/33.56 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB19, bitIndex0) | (~v141(constB19)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB19, bitIndex0) | (~v141(constB19)))),
% 50.44/33.56 inference(rewrite,[status(thm)],[])).
% 50.44/33.56 tff(35137,plain,
% 50.44/33.56 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB19, bitIndex0) | (~v141(constB19)))),
% 50.44/33.56 inference(quant_inst,[status(thm)],[])).
% 50.44/33.56 tff(35138,plain,
% 50.44/33.56 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB19, bitIndex0) | (~v141(constB19))),
% 50.44/33.56 inference(modus_ponens,[status(thm)],[35137, 35136])).
% 50.44/33.56 tff(35139,plain,
% 50.44/33.56 (~v141(constB19)),
% 50.44/33.56 inference(unit_resolution,[status(thm)],[35138, 10624, 35083])).
% 50.44/33.56 tff(35140,plain,
% 50.44/33.56 (((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB19) | v200(constB19) | (~v166(constB19)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB19) | v200(constB19) | (~v166(constB19)))),
% 50.44/33.56 inference(rewrite,[status(thm)],[])).
% 50.44/33.56 tff(35141,plain,
% 50.44/33.56 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB19) | v200(constB19) | (~v166(constB19)))),
% 50.44/33.56 inference(quant_inst,[status(thm)],[])).
% 50.44/33.56 tff(35142,plain,
% 50.44/33.56 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB19) | v200(constB19) | (~v166(constB19))),
% 50.44/33.56 inference(modus_ponens,[status(thm)],[35141, 35140])).
% 50.44/33.56 tff(35143,plain,
% 50.44/33.56 (~v166(constB19)),
% 50.44/33.56 inference(unit_resolution,[status(thm)],[35142, 10638, 35139, 35135])).
% 50.44/33.56 tff(35144,plain,
% 50.44/33.56 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB19) | (~v197(constB19)) | v166(constB19))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB19) | (~v197(constB19)) | v166(constB19))),
% 50.44/33.56 inference(rewrite,[status(thm)],[])).
% 50.44/33.56 tff(35145,plain,
% 50.44/33.56 (((~v197(constB19)) | v166(constB19) | v241(constB19)) <=> (v241(constB19) | (~v197(constB19)) | v166(constB19))),
% 50.44/33.56 inference(rewrite,[status(thm)],[])).
% 50.44/33.56 tff(35146,plain,
% 50.44/33.56 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB19)) | v166(constB19) | v241(constB19))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB19) | (~v197(constB19)) | v166(constB19)))),
% 50.44/33.56 inference(monotonicity,[status(thm)],[35145])).
% 50.44/33.56 tff(35147,plain,
% 50.44/33.56 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB19)) | v166(constB19) | v241(constB19))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB19) | (~v197(constB19)) | v166(constB19))),
% 50.44/33.56 inference(transitivity,[status(thm)],[35146, 35144])).
% 50.44/33.56 tff(35148,plain,
% 50.44/33.56 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB19)) | v166(constB19) | v241(constB19))),
% 50.44/33.56 inference(quant_inst,[status(thm)],[])).
% 50.44/33.56 tff(35149,plain,
% 50.44/33.56 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB19) | (~v197(constB19)) | v166(constB19)),
% 50.44/33.56 inference(modus_ponens,[status(thm)],[35148, 35147])).
% 50.44/33.56 tff(35150,plain,
% 50.44/33.56 (v241(constB19)),
% 50.44/33.56 inference(unit_resolution,[status(thm)],[35149, 10277, 35108, 35143])).
% 50.44/33.56 tff(35151,plain,
% 50.44/33.56 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB19)) | (~v223(constB19, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB19)) | (~v223(constB19, bitIndex2)))),
% 50.44/33.56 inference(rewrite,[status(thm)],[])).
% 50.44/33.56 tff(35152,plain,
% 50.44/33.56 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB19)) | (~v223(constB19, bitIndex2)))),
% 50.44/33.56 inference(quant_inst,[status(thm)],[])).
% 50.44/33.56 tff(35153,plain,
% 50.44/33.56 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB19)) | (~v223(constB19, bitIndex2))),
% 50.44/33.56 inference(modus_ponens,[status(thm)],[35152, 35151])).
% 50.44/33.56 tff(35154,plain,
% 50.44/33.56 (~v223(constB19, bitIndex2)),
% 50.44/33.56 inference(unit_resolution,[status(thm)],[35153, 10292, 35150])).
% 50.44/33.56 tff(35155,plain,
% 50.44/33.56 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB19)) | v223(constB19, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB19)) | v223(constB19, bitIndex2))),
% 50.44/33.56 inference(rewrite,[status(thm)],[])).
% 50.44/33.56 tff(35156,plain,
% 50.44/33.56 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB19)) | v223(constB19, bitIndex2))),
% 50.44/33.56 inference(quant_inst,[status(thm)],[])).
% 50.44/33.56 tff(35157,plain,
% 50.44/33.56 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB19)) | v223(constB19, bitIndex2)),
% 50.44/33.56 inference(modus_ponens,[status(thm)],[35156, 35155])).
% 50.44/33.56 tff(35158,plain,
% 50.44/33.56 (~v224(constB19)),
% 50.44/33.56 inference(unit_resolution,[status(thm)],[35157, 10343, 35154])).
% 50.44/33.56 tff(35159,plain,
% 50.44/33.56 (((~![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)))),
% 50.44/33.56 inference(rewrite,[status(thm)],[])).
% 50.44/33.56 tff(35160,plain,
% 50.44/33.56 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB19) | v224(constB19) | (~v236(constB19)))),
% 50.44/33.56 inference(quant_inst,[status(thm)],[])).
% 50.44/33.56 tff(35161,plain,
% 50.44/33.56 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB19) | v224(constB19) | (~v236(constB19))),
% 50.44/33.56 inference(modus_ponens,[status(thm)],[35160, 35159])).
% 50.44/33.56 tff(35162,plain,
% 50.44/33.56 (~v236(constB19)),
% 50.44/33.56 inference(unit_resolution,[status(thm)],[35161, 8968, 35158, 35123])).
% 50.44/33.56 tff(35163,plain,
% 50.44/33.56 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB19) | (~v232(constB19)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB19) | (~v232(constB19)))),
% 50.44/33.56 inference(rewrite,[status(thm)],[])).
% 50.44/33.56 tff(35164,plain,
% 50.44/33.56 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB19) | (~v232(constB19)))),
% 50.44/33.56 inference(quant_inst,[status(thm)],[])).
% 50.44/33.56 tff(35165,plain,
% 50.44/33.56 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB19) | (~v232(constB19))),
% 50.44/33.56 inference(modus_ponens,[status(thm)],[35164, 35163])).
% 50.44/33.56 tff(35166,plain,
% 50.44/33.56 (~v232(constB19)),
% 50.44/33.56 inference(unit_resolution,[status(thm)],[35165, 8980, 35162])).
% 50.44/33.56 tff(35167,plain,
% 50.44/33.56 (((~![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)))),
% 50.44/33.56 inference(rewrite,[status(thm)],[])).
% 50.44/33.56 tff(35168,plain,
% 50.44/33.56 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB19) | v139(constB19) | (~v148(constB19)))),
% 50.44/33.56 inference(quant_inst,[status(thm)],[])).
% 50.44/33.56 tff(35169,plain,
% 50.44/33.56 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB19) | v139(constB19) | (~v148(constB19))),
% 50.44/33.56 inference(modus_ponens,[status(thm)],[35168, 35167])).
% 50.44/33.56 tff(35170,plain,
% 50.44/33.56 (~v148(constB19)),
% 50.44/33.56 inference(unit_resolution,[status(thm)],[35169, 9016, 35131, 35127])).
% 50.44/33.56 tff(35171,plain,
% 50.44/33.56 (((~![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))),
% 50.44/33.56 inference(rewrite,[status(thm)],[])).
% 50.44/33.56 tff(35172,plain,
% 50.44/33.56 ((v148(constB19) | (~v197(constB19)) | v252(constB19)) <=> (v252(constB19) | (~v197(constB19)) | v148(constB19))),
% 50.44/33.56 inference(rewrite,[status(thm)],[])).
% 50.44/33.56 tff(35173,plain,
% 50.44/33.56 (((~![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)))),
% 50.44/33.56 inference(monotonicity,[status(thm)],[35172])).
% 50.44/33.56 tff(35174,plain,
% 50.44/33.56 (((~![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))),
% 50.44/33.56 inference(transitivity,[status(thm)],[35173, 35171])).
% 50.44/33.56 tff(35175,plain,
% 50.44/33.56 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB19) | (~v197(constB19)) | v252(constB19))),
% 50.44/33.56 inference(quant_inst,[status(thm)],[])).
% 50.44/33.56 tff(35176,plain,
% 50.44/33.56 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB19) | (~v197(constB19)) | v148(constB19)),
% 50.44/33.56 inference(modus_ponens,[status(thm)],[35175, 35174])).
% 50.44/33.56 tff(35177,plain,
% 50.44/33.56 (v252(constB19)),
% 50.44/33.56 inference(unit_resolution,[status(thm)],[35176, 9033, 35108, 35170])).
% 50.44/33.56 tff(35178,plain,
% 50.44/33.56 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB19)) | (~v223(constB19, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB19)) | (~v223(constB19, bitIndex3)))),
% 50.44/33.56 inference(rewrite,[status(thm)],[])).
% 50.44/33.56 tff(35179,plain,
% 50.44/33.56 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB19)) | (~v223(constB19, bitIndex3)))),
% 50.44/33.56 inference(quant_inst,[status(thm)],[])).
% 50.44/33.56 tff(35180,plain,
% 50.44/33.56 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB19)) | (~v223(constB19, bitIndex3))),
% 50.44/33.56 inference(modus_ponens,[status(thm)],[35179, 35178])).
% 50.44/33.56 tff(35181,plain,
% 50.44/33.56 (~v223(constB19, bitIndex3)),
% 50.44/33.56 inference(unit_resolution,[status(thm)],[35180, 9048, 35177])).
% 50.44/33.56 tff(35182,plain,
% 50.44/33.56 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB19)) | v223(constB19, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB19)) | v223(constB19, bitIndex3))),
% 50.44/33.56 inference(rewrite,[status(thm)],[])).
% 50.44/33.56 tff(35183,plain,
% 50.44/33.56 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB19)) | v223(constB19, bitIndex3))),
% 50.44/33.56 inference(quant_inst,[status(thm)],[])).
% 50.44/33.56 tff(35184,plain,
% 50.44/33.56 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB19)) | v223(constB19, bitIndex3)),
% 50.44/33.56 inference(modus_ponens,[status(thm)],[35183, 35182])).
% 50.44/33.56 tff(35185,plain,
% 50.44/33.56 (~v237(constB19)),
% 50.44/33.56 inference(unit_resolution,[status(thm)],[35184, 9062, 35181])).
% 50.44/33.56 tff(35186,plain,
% 50.44/33.56 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | ((~v248(constB19)) | v237(constB19) | v232(constB19))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (~v248(constB19)) | v237(constB19) | v232(constB19))),
% 50.44/33.56 inference(rewrite,[status(thm)],[])).
% 50.44/33.56 tff(35187,plain,
% 50.44/33.56 ((v237(constB19) | v232(constB19) | (~v248(constB19))) <=> ((~v248(constB19)) | v237(constB19) | v232(constB19))),
% 50.44/33.56 inference(rewrite,[status(thm)],[])).
% 50.44/33.56 tff(35188,plain,
% 50.44/33.56 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB19) | v232(constB19) | (~v248(constB19)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | ((~v248(constB19)) | v237(constB19) | v232(constB19)))),
% 50.44/33.56 inference(monotonicity,[status(thm)],[35187])).
% 50.44/33.56 tff(35189,plain,
% 50.44/33.56 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB19) | v232(constB19) | (~v248(constB19)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (~v248(constB19)) | v237(constB19) | v232(constB19))),
% 50.44/33.56 inference(transitivity,[status(thm)],[35188, 35186])).
% 50.44/33.56 tff(35190,plain,
% 50.44/33.56 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB19) | v232(constB19) | (~v248(constB19)))),
% 50.44/33.56 inference(quant_inst,[status(thm)],[])).
% 50.44/33.56 tff(35191,plain,
% 50.44/33.56 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (~v248(constB19)) | v237(constB19) | v232(constB19)),
% 50.44/33.56 inference(modus_ponens,[status(thm)],[35190, 35189])).
% 50.44/33.56 tff(35192,plain,
% 50.44/33.56 ((~v248(constB19)) | v232(constB19)),
% 50.44/33.56 inference(unit_resolution,[status(thm)],[35191, 9076, 35185])).
% 50.44/33.56 tff(35193,plain,
% 50.44/33.56 (~v248(constB19)),
% 50.44/33.56 inference(unit_resolution,[status(thm)],[35192, 35166])).
% 50.44/33.56 tff(35194,plain,
% 50.44/33.56 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB19) | (~v244(constB19)))) <=> ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB19) | (~v244(constB19)))),
% 50.44/33.56 inference(rewrite,[status(thm)],[])).
% 50.44/33.56 tff(35195,plain,
% 50.44/33.56 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB19) | (~v244(constB19)))),
% 50.44/33.56 inference(quant_inst,[status(thm)],[])).
% 50.44/33.56 tff(35196,plain,
% 50.44/33.56 ((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | v248(constB19) | (~v244(constB19))),
% 50.44/33.56 inference(modus_ponens,[status(thm)],[35195, 35194])).
% 50.44/33.56 tff(35197,plain,
% 50.44/33.56 (~v244(constB19)),
% 50.44/33.56 inference(unit_resolution,[status(thm)],[35196, 11335, 35193])).
% 50.44/33.56 tff(35198,plain,
% 50.44/33.56 (((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB19) | (~v216(constB19, bitIndex1)))) <=> ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB19) | (~v216(constB19, bitIndex1)))),
% 50.44/33.56 inference(rewrite,[status(thm)],[])).
% 50.44/33.56 tff(35199,plain,
% 50.44/33.56 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | (v244(constB19) | (~v216(constB19, bitIndex1)))),
% 50.44/33.56 inference(quant_inst,[status(thm)],[])).
% 50.44/33.56 tff(35200,plain,
% 50.44/33.56 ((~![VarCurr: $i] : (v244(VarCurr) | (~v216(VarCurr, bitIndex1)))) | v244(constB19) | (~v216(constB19, bitIndex1))),
% 50.44/33.56 inference(modus_ponens,[status(thm)],[35199, 35198])).
% 50.44/33.56 tff(35201,plain,
% 50.44/33.56 (~v216(constB19, bitIndex1)),
% 50.44/33.56 inference(unit_resolution,[status(thm)],[35200, 11346, 35197])).
% 50.44/33.56 tff(35202,plain,
% 50.44/33.56 (((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB19, bitIndex1) | (~v254(constB19)))) <=> ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB19, bitIndex1) | (~v254(constB19)))),
% 50.44/33.56 inference(rewrite,[status(thm)],[])).
% 50.44/33.56 tff(35203,plain,
% 50.44/33.56 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | (v216(constB19, bitIndex1) | (~v254(constB19)))),
% 50.44/33.56 inference(quant_inst,[status(thm)],[])).
% 50.44/33.56 tff(35204,plain,
% 50.44/33.56 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex1) | (~v254(VarCurr)))) | v216(constB19, bitIndex1) | (~v254(constB19))),
% 50.44/33.56 inference(modus_ponens,[status(thm)],[35203, 35202])).
% 50.44/33.56 tff(35205,plain,
% 50.44/33.56 (~v254(constB19)),
% 50.44/33.56 inference(unit_resolution,[status(thm)],[35204, 11357, 35201])).
% 50.44/33.56 tff(35206,plain,
% 50.44/33.56 (((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB19) | (~v231(constB19)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB19) | (~v231(constB19)))),
% 50.44/33.56 inference(rewrite,[status(thm)],[])).
% 50.44/33.56 tff(35207,plain,
% 50.44/33.56 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | (v237(constB19) | (~v231(constB19)))),
% 50.44/33.56 inference(quant_inst,[status(thm)],[])).
% 50.44/33.56 tff(35208,plain,
% 50.44/33.56 ((~![VarCurr: $i] : (v237(VarCurr) | (~v231(VarCurr)))) | v237(constB19) | (~v231(constB19))),
% 50.44/33.56 inference(modus_ponens,[status(thm)],[35207, 35206])).
% 50.44/33.56 tff(35209,plain,
% 50.44/33.56 (~v231(constB19)),
% 50.44/33.56 inference(unit_resolution,[status(thm)],[35208, 11162, 35185])).
% 50.44/33.56 tff(35210,plain,
% 50.44/33.56 (((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB19) | (~v221(constB19)))) <=> ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB19) | (~v221(constB19)))),
% 50.44/33.56 inference(rewrite,[status(thm)],[])).
% 50.44/33.56 tff(35211,plain,
% 50.44/33.56 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | (v224(constB19) | (~v221(constB19)))),
% 50.44/33.56 inference(quant_inst,[status(thm)],[])).
% 50.44/33.56 tff(35212,plain,
% 50.44/33.56 ((~![VarCurr: $i] : (v224(VarCurr) | (~v221(VarCurr)))) | v224(constB19) | (~v221(constB19))),
% 50.44/33.56 inference(modus_ponens,[status(thm)],[35211, 35210])).
% 50.44/33.56 tff(35213,plain,
% 50.44/33.56 (~v221(constB19)),
% 50.44/33.56 inference(unit_resolution,[status(thm)],[35212, 11505, 35158])).
% 50.44/33.56 tff(35214,plain,
% 50.44/33.56 (((~![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)))),
% 50.44/33.56 inference(rewrite,[status(thm)],[])).
% 50.44/33.56 tff(35215,plain,
% 50.44/33.56 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | (v221(constB19) | v231(constB19) | (~v243(constB19)))),
% 50.44/33.56 inference(quant_inst,[status(thm)],[])).
% 50.44/33.56 tff(35216,plain,
% 50.44/33.56 ((~![VarCurr: $i] : (v221(VarCurr) | v231(VarCurr) | (~v243(VarCurr)))) | v221(constB19) | v231(constB19) | (~v243(constB19))),
% 50.44/33.56 inference(modus_ponens,[status(thm)],[35215, 35214])).
% 50.44/33.56 tff(35217,plain,
% 50.44/33.56 (~v243(constB19)),
% 50.44/33.56 inference(unit_resolution,[status(thm)],[35216, 11206, 35213, 35209])).
% 50.44/33.56 tff(35218,plain,
% 50.44/33.56 (((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB19) | v255(constB19))) <=> ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB19) | v255(constB19))),
% 50.44/33.56 inference(rewrite,[status(thm)],[])).
% 50.44/33.56 tff(35219,plain,
% 50.44/33.56 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | (v243(constB19) | v255(constB19))),
% 50.44/33.56 inference(quant_inst,[status(thm)],[])).
% 50.44/33.56 tff(35220,plain,
% 50.44/33.56 ((~![VarCurr: $i] : (v243(VarCurr) | v255(VarCurr))) | v243(constB19) | v255(constB19)),
% 50.44/33.56 inference(modus_ponens,[status(thm)],[35219, 35218])).
% 50.44/33.56 tff(35221,plain,
% 50.44/33.56 (v255(constB19)),
% 50.44/33.56 inference(unit_resolution,[status(thm)],[35220, 11222, 35217])).
% 50.44/33.56 tff(35222,plain,
% 50.44/33.56 (((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB19)) | (~v216(constB19, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB19)) | (~v216(constB19, bitIndex2)))),
% 50.44/33.56 inference(rewrite,[status(thm)],[])).
% 50.44/33.56 tff(35223,plain,
% 50.44/33.56 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | ((~v255(constB19)) | (~v216(constB19, bitIndex2)))),
% 50.44/33.56 inference(quant_inst,[status(thm)],[])).
% 50.44/33.56 tff(35224,plain,
% 50.44/33.56 ((~![VarCurr: $i] : ((~v255(VarCurr)) | (~v216(VarCurr, bitIndex2)))) | (~v255(constB19)) | (~v216(constB19, bitIndex2))),
% 50.44/33.56 inference(modus_ponens,[status(thm)],[35223, 35222])).
% 50.44/33.56 tff(35225,plain,
% 50.44/33.56 (~v216(constB19, bitIndex2)),
% 50.44/33.56 inference(unit_resolution,[status(thm)],[35224, 11237, 35221])).
% 50.44/33.56 tff(35226,plain,
% 50.44/33.56 (((~![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)))) | v216(constB19, bitIndex2) | v254(constB19) | (~v215(constB19)))),
% 50.44/33.56 inference(rewrite,[status(thm)],[])).
% 50.44/33.56 tff(35227,plain,
% 50.44/33.56 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | (v216(constB19, bitIndex2) | v254(constB19) | (~v215(constB19)))),
% 50.44/33.56 inference(quant_inst,[status(thm)],[])).
% 50.44/33.56 tff(35228,plain,
% 50.44/33.56 ((~![VarCurr: $i] : (v216(VarCurr, bitIndex2) | v254(VarCurr) | (~v215(VarCurr)))) | v216(constB19, bitIndex2) | v254(constB19) | (~v215(constB19))),
% 50.44/33.56 inference(modus_ponens,[status(thm)],[35227, 35226])).
% 50.44/33.56 tff(35229,plain,
% 50.44/33.56 (v254(constB19) | (~v215(constB19))),
% 50.44/33.56 inference(unit_resolution,[status(thm)],[35228, 11278, 35225])).
% 50.44/33.56 tff(35230,plain,
% 50.44/33.56 (~v215(constB19)),
% 50.44/33.56 inference(unit_resolution,[status(thm)],[35229, 35205])).
% 50.44/33.56 tff(35231,plain,
% 50.44/33.56 ($false),
% 50.44/33.56 inference(unit_resolution,[status(thm)],[35230, 35075])).
% 50.44/33.56 tff(35232,plain,(~(constB19 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 50.44/33.56 tff(35233,assumption,(constB29 = sK0_VarCurr), introduced(assumption)).
% 50.44/33.56 tff(35234,plain,
% 50.44/33.56 (v215(constB29) <=> v215(sK0_VarCurr)),
% 50.44/33.56 inference(monotonicity,[status(thm)],[35233])).
% 50.44/33.56 tff(35235,plain,
% 50.44/33.56 (v215(sK0_VarCurr) <=> v215(constB29)),
% 50.44/33.56 inference(symmetry,[status(thm)],[35234])).
% 50.44/33.56 tff(35236,plain,
% 50.44/33.56 (v215(constB29)),
% 50.44/33.56 inference(modus_ponens,[status(thm)],[11268, 35235])).
% 50.44/33.56 tff(35237,plain,
% 50.44/33.56 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB29, bitIndex2) | (~v88(constB29, bitIndex2)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB29, bitIndex2) | (~v88(constB29, bitIndex2)))),
% 50.44/33.56 inference(rewrite,[status(thm)],[])).
% 50.44/33.56 tff(35238,plain,
% 50.44/33.56 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | (v90(constB29, bitIndex2) | (~v88(constB29, bitIndex2)))),
% 50.44/33.56 inference(quant_inst,[status(thm)],[])).
% 50.44/33.56 tff(35239,plain,
% 50.44/33.56 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex2)))) | v90(constB29, bitIndex2) | (~v88(constB29, bitIndex2))),
% 50.44/33.56 inference(modus_ponens,[status(thm)],[35238, 35237])).
% 50.44/33.56 tff(35240,plain,
% 50.44/33.56 (~v88(constB29, bitIndex2)),
% 50.44/33.56 inference(unit_resolution,[status(thm)],[35239, 8769, 5040])).
% 50.44/33.56 tff(35241,plain,
% 50.44/33.56 (((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB29, bitIndex0) | (~v88(constB29, bitIndex0)))) <=> ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB29, bitIndex0) | (~v88(constB29, bitIndex0)))),
% 50.44/33.56 inference(rewrite,[status(thm)],[])).
% 50.44/33.56 tff(35242,plain,
% 50.44/33.56 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | (v90(constB29, bitIndex0) | (~v88(constB29, bitIndex0)))),
% 50.44/33.56 inference(quant_inst,[status(thm)],[])).
% 50.44/33.56 tff(35243,plain,
% 50.44/33.56 ((~![VarCurr: $i] : (v90(VarCurr, bitIndex0) | (~v88(VarCurr, bitIndex0)))) | v90(constB29, bitIndex0) | (~v88(constB29, bitIndex0))),
% 50.44/33.56 inference(modus_ponens,[status(thm)],[35242, 35241])).
% 50.44/33.56 tff(35244,plain,
% 50.44/33.56 (~v88(constB29, bitIndex0)),
% 50.44/33.56 inference(unit_resolution,[status(thm)],[35243, 10505, 5105])).
% 50.44/33.56 tff(35245,plain,
% 50.44/33.56 (((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB29, bitIndex1)) | v88(constB29, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB29, bitIndex1)) | v88(constB29, bitIndex1))),
% 50.44/33.56 inference(rewrite,[status(thm)],[])).
% 50.44/33.56 tff(35246,plain,
% 50.44/33.56 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | ((~v90(constB29, bitIndex1)) | v88(constB29, bitIndex1))),
% 50.44/33.56 inference(quant_inst,[status(thm)],[])).
% 50.44/33.56 tff(35247,plain,
% 50.44/33.56 ((~![VarCurr: $i] : ((~v90(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex1))) | (~v90(constB29, bitIndex1)) | v88(constB29, bitIndex1)),
% 50.44/33.56 inference(modus_ponens,[status(thm)],[35246, 35245])).
% 50.44/33.56 tff(35248,plain,
% 50.44/33.56 (v88(constB29, bitIndex1)),
% 50.44/33.56 inference(unit_resolution,[status(thm)],[35247, 8707, 5071])).
% 50.44/33.56 tff(35249,plain,
% 50.44/33.56 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)) | v88(constB29, bitIndex0) | v143(constB29))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)) | v88(constB29, bitIndex0) | v143(constB29))),
% 50.44/33.56 inference(rewrite,[status(thm)],[])).
% 50.44/33.56 tff(35250,plain,
% 50.44/33.56 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | (v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)) | v88(constB29, bitIndex0) | v143(constB29))),
% 50.44/33.57 inference(quant_inst,[status(thm)],[])).
% 50.44/33.57 tff(35251,plain,
% 50.44/33.57 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex2) | (~v88(VarCurr, bitIndex1)) | v88(VarCurr, bitIndex0) | v143(VarCurr))) | v88(constB29, bitIndex2) | (~v88(constB29, bitIndex1)) | v88(constB29, bitIndex0) | v143(constB29)),
% 50.44/33.57 inference(modus_ponens,[status(thm)],[35250, 35249])).
% 50.44/33.57 tff(35252,plain,
% 50.44/33.57 (v143(constB29)),
% 50.44/33.57 inference(unit_resolution,[status(thm)],[35251, 10523, 35248, 35244, 35240])).
% 50.44/33.57 tff(35253,plain,
% 50.44/33.57 (((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB29) | (~v143(constB29)))) <=> ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB29) | (~v143(constB29)))),
% 50.44/33.57 inference(rewrite,[status(thm)],[])).
% 50.44/33.57 tff(35254,plain,
% 50.44/33.57 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | (v142(constB29) | (~v143(constB29)))),
% 50.44/33.57 inference(quant_inst,[status(thm)],[])).
% 50.44/33.57 tff(35255,plain,
% 50.44/33.57 ((~![VarCurr: $i] : (v142(VarCurr) | (~v143(VarCurr)))) | v142(constB29) | (~v143(constB29))),
% 50.44/33.57 inference(modus_ponens,[status(thm)],[35254, 35253])).
% 50.44/33.57 tff(35256,plain,
% 50.44/33.57 (v142(constB29)),
% 50.44/33.57 inference(unit_resolution,[status(thm)],[35255, 10537, 35252])).
% 50.44/33.57 tff(35257,plain,
% 50.44/33.57 (((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB29) | (~v142(constB29)))) <=> ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB29) | (~v142(constB29)))),
% 50.44/33.57 inference(rewrite,[status(thm)],[])).
% 50.44/33.57 tff(35258,plain,
% 50.44/33.57 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | (v198(constB29) | (~v142(constB29)))),
% 50.44/33.57 inference(quant_inst,[status(thm)],[])).
% 50.44/33.57 tff(35259,plain,
% 50.44/33.57 ((~![VarCurr: $i] : (v198(VarCurr) | (~v142(VarCurr)))) | v198(constB29) | (~v142(constB29))),
% 50.44/33.57 inference(modus_ponens,[status(thm)],[35258, 35257])).
% 50.44/33.57 tff(35260,plain,
% 50.44/33.57 (v198(constB29)),
% 50.44/33.57 inference(unit_resolution,[status(thm)],[35259, 10548, 35256])).
% 50.44/33.57 tff(35261,plain,
% 50.44/33.57 (((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB29)) | (~v201(constB29)))) <=> ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB29)) | (~v201(constB29)))),
% 50.44/33.57 inference(rewrite,[status(thm)],[])).
% 50.44/33.57 tff(35262,plain,
% 50.44/33.57 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | ((~v198(constB29)) | (~v201(constB29)))),
% 50.44/33.57 inference(quant_inst,[status(thm)],[])).
% 50.44/33.57 tff(35263,plain,
% 50.44/33.57 ((~![VarCurr: $i] : ((~v198(VarCurr)) | (~v201(VarCurr)))) | (~v198(constB29)) | (~v201(constB29))),
% 50.44/33.57 inference(modus_ponens,[status(thm)],[35262, 35261])).
% 50.44/33.57 tff(35264,plain,
% 50.44/33.57 (~v201(constB29)),
% 50.44/33.57 inference(unit_resolution,[status(thm)],[35263, 8823, 35260])).
% 50.44/33.57 tff(35265,plain,
% 50.44/33.57 (((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB29) | (~v198(constB29)))) <=> ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB29) | (~v198(constB29)))),
% 50.44/33.57 inference(rewrite,[status(thm)],[])).
% 50.44/33.57 tff(35266,plain,
% 50.44/33.57 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | (v197(constB29) | (~v198(constB29)))),
% 50.44/33.57 inference(quant_inst,[status(thm)],[])).
% 50.44/33.57 tff(35267,plain,
% 50.44/33.57 ((~![VarCurr: $i] : (v197(VarCurr) | (~v198(VarCurr)))) | v197(constB29) | (~v198(constB29))),
% 50.44/33.57 inference(modus_ponens,[status(thm)],[35266, 35265])).
% 50.44/33.57 tff(35268,plain,
% 50.44/33.57 (v197(constB29)),
% 50.44/33.57 inference(unit_resolution,[status(thm)],[35267, 8834, 35260])).
% 50.44/33.57 tff(35269,plain,
% 50.44/33.57 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB29) | (~v197(constB29)) | v201(constB29))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB29) | (~v197(constB29)) | v201(constB29))),
% 50.44/33.57 inference(rewrite,[status(thm)],[])).
% 50.44/33.57 tff(35270,plain,
% 50.44/33.57 (((~v197(constB29)) | v201(constB29) | v227(constB29)) <=> (v227(constB29) | (~v197(constB29)) | v201(constB29))),
% 50.44/33.57 inference(rewrite,[status(thm)],[])).
% 50.44/33.57 tff(35271,plain,
% 50.44/33.57 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB29)) | v201(constB29) | v227(constB29))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | (v227(constB29) | (~v197(constB29)) | v201(constB29)))),
% 50.44/33.57 inference(monotonicity,[status(thm)],[35270])).
% 50.44/33.57 tff(35272,plain,
% 50.44/33.57 (((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB29)) | v201(constB29) | v227(constB29))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB29) | (~v197(constB29)) | v201(constB29))),
% 50.44/33.57 inference(transitivity,[status(thm)],[35271, 35269])).
% 50.44/33.57 tff(35273,plain,
% 50.44/33.57 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | ((~v197(constB29)) | v201(constB29) | v227(constB29))),
% 50.44/33.57 inference(quant_inst,[status(thm)],[])).
% 50.44/33.57 tff(35274,plain,
% 50.44/33.57 ((~![VarNext: $i] : ((~v197(VarNext)) | v201(VarNext) | v227(VarNext))) | v227(constB29) | (~v197(constB29)) | v201(constB29)),
% 50.44/33.57 inference(modus_ponens,[status(thm)],[35273, 35272])).
% 50.44/33.57 tff(35275,plain,
% 50.44/33.57 (v227(constB29)),
% 50.44/33.57 inference(unit_resolution,[status(thm)],[35274, 8848, 35268, 35264])).
% 50.44/33.57 tff(35276,plain,
% 50.44/33.57 (((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB29)) | (~v223(constB29, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB29)) | (~v223(constB29, bitIndex0)))),
% 50.44/33.57 inference(rewrite,[status(thm)],[])).
% 50.44/33.57 tff(35277,plain,
% 50.44/33.57 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | ((~v227(constB29)) | (~v223(constB29, bitIndex0)))),
% 50.44/33.57 inference(quant_inst,[status(thm)],[])).
% 50.44/33.57 tff(35278,plain,
% 50.44/33.57 ((~![VarCurr: $i] : ((~v227(VarCurr)) | (~v223(VarCurr, bitIndex0)))) | (~v227(constB29)) | (~v223(constB29, bitIndex0))),
% 50.44/33.57 inference(modus_ponens,[status(thm)],[35277, 35276])).
% 50.44/33.57 tff(35279,plain,
% 50.44/33.57 (~v223(constB29, bitIndex0)),
% 50.44/33.57 inference(unit_resolution,[status(thm)],[35278, 8862, 35275])).
% 50.44/33.57 tff(35280,plain,
% 50.44/33.57 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | ((~v222(constB29)) | v223(constB29, bitIndex0))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (~v222(constB29)) | v223(constB29, bitIndex0))),
% 50.44/33.57 inference(rewrite,[status(thm)],[])).
% 50.44/33.57 tff(35281,plain,
% 50.44/33.57 ((v223(constB29, bitIndex0) | (~v222(constB29))) <=> ((~v222(constB29)) | v223(constB29, bitIndex0))),
% 50.44/33.57 inference(rewrite,[status(thm)],[])).
% 50.44/33.57 tff(35282,plain,
% 50.44/33.57 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB29, bitIndex0) | (~v222(constB29)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | ((~v222(constB29)) | v223(constB29, bitIndex0)))),
% 50.44/33.57 inference(monotonicity,[status(thm)],[35281])).
% 50.44/33.57 tff(35283,plain,
% 50.44/33.57 (((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB29, bitIndex0) | (~v222(constB29)))) <=> ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (~v222(constB29)) | v223(constB29, bitIndex0))),
% 50.44/33.57 inference(transitivity,[status(thm)],[35282, 35280])).
% 50.44/33.57 tff(35284,plain,
% 50.44/33.57 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (v223(constB29, bitIndex0) | (~v222(constB29)))),
% 50.44/33.57 inference(quant_inst,[status(thm)],[])).
% 50.44/33.57 tff(35285,plain,
% 50.44/33.57 ((~![VarCurr: $i] : (v223(VarCurr, bitIndex0) | (~v222(VarCurr)))) | (~v222(constB29)) | v223(constB29, bitIndex0)),
% 50.44/33.57 inference(modus_ponens,[status(thm)],[35284, 35283])).
% 50.44/33.57 tff(35286,plain,
% 50.44/33.57 (~v222(constB29)),
% 50.44/33.57 inference(unit_resolution,[status(thm)],[35285, 10578, 35279])).
% 50.44/33.57 tff(35287,plain,
% 50.44/33.57 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB29, bitIndex1)) | (~v139(constB29)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB29, bitIndex1)) | (~v139(constB29)))),
% 50.44/33.57 inference(rewrite,[status(thm)],[])).
% 50.44/33.57 tff(35288,plain,
% 50.44/33.57 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | ((~v88(constB29, bitIndex1)) | (~v139(constB29)))),
% 50.44/33.57 inference(quant_inst,[status(thm)],[])).
% 50.44/33.57 tff(35289,plain,
% 50.44/33.57 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v139(VarCurr)))) | (~v88(constB29, bitIndex1)) | (~v139(constB29))),
% 50.44/33.57 inference(modus_ponens,[status(thm)],[35288, 35287])).
% 50.44/33.57 tff(35290,plain,
% 50.44/33.57 (~v139(constB29)),
% 50.44/33.57 inference(unit_resolution,[status(thm)],[35289, 10589, 35248])).
% 50.44/33.57 tff(35291,plain,
% 50.44/33.57 (((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB29, bitIndex1)) | (~v140(constB29)))) <=> ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB29, bitIndex1)) | (~v140(constB29)))),
% 50.44/33.57 inference(rewrite,[status(thm)],[])).
% 50.44/33.57 tff(35292,plain,
% 50.44/33.57 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | ((~v88(constB29, bitIndex1)) | (~v140(constB29)))),
% 50.44/33.57 inference(quant_inst,[status(thm)],[])).
% 50.44/33.57 tff(35293,plain,
% 50.44/33.57 ((~![VarCurr: $i] : ((~v88(VarCurr, bitIndex1)) | (~v140(VarCurr)))) | (~v88(constB29, bitIndex1)) | (~v140(constB29))),
% 50.44/33.57 inference(modus_ponens,[status(thm)],[35292, 35291])).
% 50.44/33.57 tff(35294,plain,
% 50.44/33.57 (~v140(constB29)),
% 50.44/33.57 inference(unit_resolution,[status(thm)],[35293, 9002, 35248])).
% 50.44/33.57 tff(35295,plain,
% 50.44/33.57 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB29) | v139(constB29) | (~v200(constB29)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB29) | v139(constB29) | (~v200(constB29)))),
% 50.44/33.57 inference(rewrite,[status(thm)],[])).
% 50.44/33.57 tff(35296,plain,
% 50.44/33.57 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | (v140(constB29) | v139(constB29) | (~v200(constB29)))),
% 50.44/33.57 inference(quant_inst,[status(thm)],[])).
% 50.44/33.57 tff(35297,plain,
% 50.44/33.57 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v200(VarCurr)))) | v140(constB29) | v139(constB29) | (~v200(constB29))),
% 50.44/33.57 inference(modus_ponens,[status(thm)],[35296, 35295])).
% 50.44/33.57 tff(35298,plain,
% 50.44/33.57 (~v200(constB29)),
% 50.44/33.57 inference(unit_resolution,[status(thm)],[35297, 10610, 35294, 35290])).
% 50.44/33.57 tff(35299,plain,
% 50.44/33.57 (((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB29, bitIndex0) | (~v141(constB29)))) <=> ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB29, bitIndex0) | (~v141(constB29)))),
% 50.44/33.57 inference(rewrite,[status(thm)],[])).
% 50.44/33.57 tff(35300,plain,
% 50.44/33.57 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | (v88(constB29, bitIndex0) | (~v141(constB29)))),
% 50.44/33.57 inference(quant_inst,[status(thm)],[])).
% 50.44/33.57 tff(35301,plain,
% 50.44/33.57 ((~![VarCurr: $i] : (v88(VarCurr, bitIndex0) | (~v141(VarCurr)))) | v88(constB29, bitIndex0) | (~v141(constB29))),
% 50.44/33.57 inference(modus_ponens,[status(thm)],[35300, 35299])).
% 50.44/33.57 tff(35302,plain,
% 50.44/33.57 (~v141(constB29)),
% 50.44/33.57 inference(unit_resolution,[status(thm)],[35301, 10624, 35244])).
% 50.44/33.57 tff(35303,plain,
% 50.44/33.57 (((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB29) | v200(constB29) | (~v166(constB29)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB29) | v200(constB29) | (~v166(constB29)))),
% 50.44/33.57 inference(rewrite,[status(thm)],[])).
% 50.44/33.57 tff(35304,plain,
% 50.44/33.57 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | (v141(constB29) | v200(constB29) | (~v166(constB29)))),
% 50.44/33.57 inference(quant_inst,[status(thm)],[])).
% 50.44/33.57 tff(35305,plain,
% 50.44/33.57 ((~![VarCurr: $i] : (v141(VarCurr) | v200(VarCurr) | (~v166(VarCurr)))) | v141(constB29) | v200(constB29) | (~v166(constB29))),
% 50.44/33.57 inference(modus_ponens,[status(thm)],[35304, 35303])).
% 50.44/33.57 tff(35306,plain,
% 50.44/33.57 (~v166(constB29)),
% 50.44/33.57 inference(unit_resolution,[status(thm)],[35305, 10638, 35302, 35298])).
% 50.44/33.57 tff(35307,plain,
% 50.44/33.57 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB29) | (~v197(constB29)) | v166(constB29))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB29) | (~v197(constB29)) | v166(constB29))),
% 50.44/33.57 inference(rewrite,[status(thm)],[])).
% 50.44/33.57 tff(35308,plain,
% 50.44/33.57 (((~v197(constB29)) | v166(constB29) | v241(constB29)) <=> (v241(constB29) | (~v197(constB29)) | v166(constB29))),
% 50.44/33.57 inference(rewrite,[status(thm)],[])).
% 50.44/33.57 tff(35309,plain,
% 50.44/33.57 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB29)) | v166(constB29) | v241(constB29))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | (v241(constB29) | (~v197(constB29)) | v166(constB29)))),
% 50.44/33.57 inference(monotonicity,[status(thm)],[35308])).
% 50.44/33.57 tff(35310,plain,
% 50.44/33.57 (((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB29)) | v166(constB29) | v241(constB29))) <=> ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB29) | (~v197(constB29)) | v166(constB29))),
% 50.44/33.57 inference(transitivity,[status(thm)],[35309, 35307])).
% 50.44/33.57 tff(35311,plain,
% 50.44/33.57 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | ((~v197(constB29)) | v166(constB29) | v241(constB29))),
% 50.44/33.57 inference(quant_inst,[status(thm)],[])).
% 50.44/33.57 tff(35312,plain,
% 50.44/33.57 ((~![VarNext: $i] : ((~v197(VarNext)) | v166(VarNext) | v241(VarNext))) | v241(constB29) | (~v197(constB29)) | v166(constB29)),
% 50.44/33.57 inference(modus_ponens,[status(thm)],[35311, 35310])).
% 50.44/33.57 tff(35313,plain,
% 50.44/33.57 (v241(constB29) | (~v197(constB29))),
% 50.44/33.57 inference(unit_resolution,[status(thm)],[35312, 10277, 35306])).
% 50.44/33.57 tff(35314,plain,
% 50.44/33.57 (v241(constB29)),
% 50.44/33.57 inference(unit_resolution,[status(thm)],[35313, 35268])).
% 50.44/33.57 tff(35315,plain,
% 50.44/33.57 (((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB29)) | (~v223(constB29, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB29)) | (~v223(constB29, bitIndex2)))),
% 50.44/33.57 inference(rewrite,[status(thm)],[])).
% 50.44/33.57 tff(35316,plain,
% 50.44/33.57 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | ((~v241(constB29)) | (~v223(constB29, bitIndex2)))),
% 50.44/33.57 inference(quant_inst,[status(thm)],[])).
% 50.44/33.57 tff(35317,plain,
% 50.44/33.57 ((~![VarCurr: $i] : ((~v241(VarCurr)) | (~v223(VarCurr, bitIndex2)))) | (~v241(constB29)) | (~v223(constB29, bitIndex2))),
% 50.44/33.57 inference(modus_ponens,[status(thm)],[35316, 35315])).
% 50.44/33.57 tff(35318,plain,
% 50.44/33.57 (~v223(constB29, bitIndex2)),
% 50.44/33.57 inference(unit_resolution,[status(thm)],[35317, 10292, 35314])).
% 50.44/33.57 tff(35319,plain,
% 50.44/33.57 (((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB29)) | v223(constB29, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB29)) | v223(constB29, bitIndex2))),
% 50.44/33.57 inference(rewrite,[status(thm)],[])).
% 50.44/33.57 tff(35320,plain,
% 50.44/33.57 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | ((~v224(constB29)) | v223(constB29, bitIndex2))),
% 50.44/33.57 inference(quant_inst,[status(thm)],[])).
% 50.44/33.57 tff(35321,plain,
% 50.44/33.57 ((~![VarCurr: $i] : ((~v224(VarCurr)) | v223(VarCurr, bitIndex2))) | (~v224(constB29)) | v223(constB29, bitIndex2)),
% 50.44/33.57 inference(modus_ponens,[status(thm)],[35320, 35319])).
% 50.44/33.57 tff(35322,plain,
% 50.44/33.57 (~v224(constB29)),
% 50.44/33.57 inference(unit_resolution,[status(thm)],[35321, 10343, 35318])).
% 50.44/33.57 tff(35323,plain,
% 50.44/33.57 (((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB29) | v224(constB29) | (~v236(constB29)))) <=> ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB29) | v224(constB29) | (~v236(constB29)))),
% 50.44/33.57 inference(rewrite,[status(thm)],[])).
% 50.44/33.57 tff(35324,plain,
% 50.44/33.57 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | (v222(constB29) | v224(constB29) | (~v236(constB29)))),
% 50.44/33.57 inference(quant_inst,[status(thm)],[])).
% 50.44/33.57 tff(35325,plain,
% 50.44/33.57 ((~![VarCurr: $i] : (v222(VarCurr) | v224(VarCurr) | (~v236(VarCurr)))) | v222(constB29) | v224(constB29) | (~v236(constB29))),
% 50.44/33.57 inference(modus_ponens,[status(thm)],[35324, 35323])).
% 50.44/33.57 tff(35326,plain,
% 50.44/33.57 (~v236(constB29)),
% 50.44/33.57 inference(unit_resolution,[status(thm)],[35325, 8968, 35322, 35286])).
% 50.44/33.57 tff(35327,plain,
% 50.44/33.57 (((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB29) | (~v232(constB29)))) <=> ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB29) | (~v232(constB29)))),
% 50.44/33.57 inference(rewrite,[status(thm)],[])).
% 50.44/33.57 tff(35328,plain,
% 50.44/33.57 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | (v236(constB29) | (~v232(constB29)))),
% 50.44/33.57 inference(quant_inst,[status(thm)],[])).
% 50.44/33.57 tff(35329,plain,
% 50.44/33.57 ((~![VarCurr: $i] : (v236(VarCurr) | (~v232(VarCurr)))) | v236(constB29) | (~v232(constB29))),
% 50.44/33.57 inference(modus_ponens,[status(thm)],[35328, 35327])).
% 50.44/33.57 tff(35330,plain,
% 50.44/33.57 (~v232(constB29)),
% 50.44/33.57 inference(unit_resolution,[status(thm)],[35329, 8980, 35326])).
% 50.44/33.57 tff(35331,plain,
% 50.44/33.57 (((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB29) | v139(constB29) | (~v148(constB29)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB29) | v139(constB29) | (~v148(constB29)))),
% 50.44/33.57 inference(rewrite,[status(thm)],[])).
% 50.44/33.57 tff(35332,plain,
% 50.44/33.57 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | (v140(constB29) | v139(constB29) | (~v148(constB29)))),
% 50.44/33.57 inference(quant_inst,[status(thm)],[])).
% 50.44/33.57 tff(35333,plain,
% 50.44/33.57 ((~![VarCurr: $i] : (v140(VarCurr) | v139(VarCurr) | (~v148(VarCurr)))) | v140(constB29) | v139(constB29) | (~v148(constB29))),
% 50.44/33.57 inference(modus_ponens,[status(thm)],[35332, 35331])).
% 50.44/33.57 tff(35334,plain,
% 50.44/33.57 (~v148(constB29)),
% 50.44/33.57 inference(unit_resolution,[status(thm)],[35333, 9016, 35294, 35290])).
% 50.44/33.57 tff(35335,plain,
% 50.44/33.57 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB29) | (~v197(constB29)) | v148(constB29))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB29) | (~v197(constB29)) | v148(constB29))),
% 50.44/33.57 inference(rewrite,[status(thm)],[])).
% 50.44/33.57 tff(35336,plain,
% 50.44/33.57 ((v148(constB29) | (~v197(constB29)) | v252(constB29)) <=> (v252(constB29) | (~v197(constB29)) | v148(constB29))),
% 50.44/33.57 inference(rewrite,[status(thm)],[])).
% 50.44/33.57 tff(35337,plain,
% 50.44/33.57 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB29) | (~v197(constB29)) | v252(constB29))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v252(constB29) | (~v197(constB29)) | v148(constB29)))),
% 50.44/33.57 inference(monotonicity,[status(thm)],[35336])).
% 50.44/33.57 tff(35338,plain,
% 50.44/33.57 (((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB29) | (~v197(constB29)) | v252(constB29))) <=> ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB29) | (~v197(constB29)) | v148(constB29))),
% 50.44/33.57 inference(transitivity,[status(thm)],[35337, 35335])).
% 50.44/33.57 tff(35339,plain,
% 50.44/33.57 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | (v148(constB29) | (~v197(constB29)) | v252(constB29))),
% 50.44/33.57 inference(quant_inst,[status(thm)],[])).
% 50.44/33.57 tff(35340,plain,
% 50.44/33.57 ((~![VarNext: $i] : (v148(VarNext) | (~v197(VarNext)) | v252(VarNext))) | v252(constB29) | (~v197(constB29)) | v148(constB29)),
% 50.44/33.57 inference(modus_ponens,[status(thm)],[35339, 35338])).
% 50.44/33.57 tff(35341,plain,
% 50.44/33.57 (v252(constB29) | (~v197(constB29))),
% 50.44/33.57 inference(unit_resolution,[status(thm)],[35340, 9033, 35334])).
% 50.44/33.57 tff(35342,plain,
% 50.44/33.57 (v252(constB29)),
% 50.44/33.57 inference(unit_resolution,[status(thm)],[35341, 35268])).
% 50.44/33.57 tff(35343,plain,
% 50.44/33.57 (((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB29)) | (~v223(constB29, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB29)) | (~v223(constB29, bitIndex3)))),
% 50.44/33.57 inference(rewrite,[status(thm)],[])).
% 50.44/33.57 tff(35344,plain,
% 50.44/33.57 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | ((~v252(constB29)) | (~v223(constB29, bitIndex3)))),
% 50.44/33.57 inference(quant_inst,[status(thm)],[])).
% 50.44/33.57 tff(35345,plain,
% 50.44/33.57 ((~![VarCurr: $i] : ((~v252(VarCurr)) | (~v223(VarCurr, bitIndex3)))) | (~v252(constB29)) | (~v223(constB29, bitIndex3))),
% 50.44/33.57 inference(modus_ponens,[status(thm)],[35344, 35343])).
% 50.44/33.57 tff(35346,plain,
% 50.44/33.57 (~v223(constB29, bitIndex3)),
% 50.44/33.57 inference(unit_resolution,[status(thm)],[35345, 9048, 35342])).
% 50.44/33.57 tff(35347,plain,
% 50.44/33.57 (((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB29)) | v223(constB29, bitIndex3))) <=> ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB29)) | v223(constB29, bitIndex3))),
% 50.44/33.57 inference(rewrite,[status(thm)],[])).
% 50.44/33.57 tff(35348,plain,
% 50.44/33.57 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | ((~v237(constB29)) | v223(constB29, bitIndex3))),
% 50.44/33.57 inference(quant_inst,[status(thm)],[])).
% 50.44/33.57 tff(35349,plain,
% 50.44/33.57 ((~![VarCurr: $i] : ((~v237(VarCurr)) | v223(VarCurr, bitIndex3))) | (~v237(constB29)) | v223(constB29, bitIndex3)),
% 50.44/33.57 inference(modus_ponens,[status(thm)],[35348, 35347])).
% 50.44/33.57 tff(35350,plain,
% 50.44/33.57 (~v237(constB29)),
% 50.44/33.57 inference(unit_resolution,[status(thm)],[35349, 9062, 35346])).
% 50.44/33.57 tff(35351,plain,
% 50.44/33.57 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB29) | (~v248(constB29)) | v232(constB29))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB29) | (~v248(constB29)) | v232(constB29))),
% 50.44/33.57 inference(rewrite,[status(thm)],[])).
% 50.44/33.57 tff(35352,plain,
% 50.44/33.57 ((v237(constB29) | v232(constB29) | (~v248(constB29))) <=> (v237(constB29) | (~v248(constB29)) | v232(constB29))),
% 50.44/33.57 inference(rewrite,[status(thm)],[])).
% 50.44/33.57 tff(35353,plain,
% 50.44/33.57 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB29) | v232(constB29) | (~v248(constB29)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB29) | (~v248(constB29)) | v232(constB29)))),
% 50.44/33.57 inference(monotonicity,[status(thm)],[35352])).
% 50.44/33.57 tff(35354,plain,
% 50.44/33.57 (((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB29) | v232(constB29) | (~v248(constB29)))) <=> ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB29) | (~v248(constB29)) | v232(constB29))),
% 50.44/33.57 inference(transitivity,[status(thm)],[35353, 35351])).
% 50.44/33.57 tff(35355,plain,
% 50.44/33.57 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | (v237(constB29) | v232(constB29) | (~v248(constB29)))),
% 50.44/33.57 inference(quant_inst,[status(thm)],[])).
% 50.44/33.57 tff(35356,plain,
% 50.44/33.57 ((~![VarCurr: $i] : (v237(VarCurr) | v232(VarCurr) | (~v248(VarCurr)))) | v237(constB29) | (~v248(constB29)) | v232(constB29)),
% 50.44/33.57 inference(modus_ponens,[status(thm)],[35355, 35354])).
% 50.44/33.57 tff(35357,plain,
% 50.44/33.57 ((~v248(constB29)) | v232(constB29)),
% 50.44/33.57 inference(unit_resolution,[status(thm)],[35356, 9076, 35350])).
% 50.44/33.57 tff(35358,plain,
% 50.44/33.57 (~v248(constB29)),
% 50.44/33.57 inference(unit_resolution,[status(thm)],[35357, 35330])).
% 50.44/33.57 tff(35359,plain,
% 50.44/33.57 (((~![VarCurr: $i] : (v248(VarCurr) | (~v244(VarCurr)))) | (v248(constB29) | (~v244(constB29)))) <